diff --git "a/data/dm_maths/full_data/1277_11255.jsonl" "b/data/dm_maths/full_data/1277_11255.jsonl" new file mode 100644--- /dev/null +++ "b/data/dm_maths/full_data/1277_11255.jsonl" @@ -0,0 +1,10000 @@ +{"text":"Question: What is -9 + -38 + 9 - (8 - 2)?\nAnswer: -44","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -565, -575, -597, -637, -701, -795, -925, -1097?\nAnswer: -1317","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s**(-4\/7)*(s*s**(-1))\/s*s)**38 assuming s is positive.\nAnswer: s**(-152\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) = z**3 - 30*z**2 + 232*z - 114. Give f(15).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*j - 2*j - 174. What is the remainder when j is divided by 15?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 20 and 1558720?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -9\/5 in 0, 23, 14, 14\/25?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 300 minutes before 9:38 PM?\nAnswer: 4:38 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -16 = -4*w + 32 for w.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Round 56800 to the nearest one thousand.\nAnswer: 57000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*i + 10 = -2. Suppose 5*c + 3*k - 951 = 0, -i*c - k = -0*k - 380. What is the units digit of c?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1070, 1049, 1028, 1007?\nAnswer: 986","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -9868a + 4?\nAnswer: -98686","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 1981341 a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 9.660772 meters in kilometers?\nAnswer: 0.009660772","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 13 - 21. Let h(y) = -y**3 - 11*y**2 - y + 27. Let z(u) = 6*u**3 + 67*u**2 + 6*u - 171. Let o(q) = 19*h(q) + 3*z(q). Determine o(k).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 606*c = -10174 + 478 for c.\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__linear_1d_test"},"subset":"dm_maths"} +{"text":"Question: What is 155 divided by 6151229?\nAnswer: 155\/6151229","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Does 1195 divide 318665870?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) = m**2 - 47*m + 149. What is g(37)?\nAnswer: -221","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1381230253 and 1137.\nAnswer: 379","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -64*k - 2407 = -15911. Solve -8*d - k + 155 = 0 for d.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(85) - -1*sqrt(85) - sqrt(85))*-5 + (5*(sqrt(85)*1 - sqrt(85)) - sqrt(85)))\/(-6*(6*(sqrt(5) - sqrt(20)\/sqrt(4)) + sqrt(55)\/sqrt(176))).\nAnswer: 4*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -0.069 - 0.313. Round h to 1 decimal place.\nAnswer: -0.4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 6330236?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b*b**(-2))\/(b\/(b**(-5\/4)*b)))\/(b**(-1)*b*b*b)**(-1\/2) assuming b is positive.\nAnswer: b**(-5\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 10935396 divided by 10935396.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*u - 2*m + m = -110, 75 = 2*u + m. Let b be 4\/(-14) + 115\/u. Suppose 4*c = -b*h + 77, -2*c - 49 - 7 = -2*h. Does 14 divide h?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) be the second derivative of 0*z**4 + 0*z**3 + 0 + 147\/2*z**2 + 33\/20*z**5 + 133*z. What is the derivative of o(w) wrt w?\nAnswer: 99*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -15135 greater than 1425?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*c - 2*v = -1, -48*v - 2589 + 2733 = 0 for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 33 = 3*w + 3*i, w - 4*i - 20 = -3*w. What is the remainder when w is divided by 3?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) = 6*l + 219. Let z be a(-35). Let t be ((-24)\/(-16))\/(z\/3)*4. Determine f, given that 3 - 3\/2*f - 3\/2*f**t = 0.\nAnswer: -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -11.9 - -8.9. Let h = m - 45. Let j = -45 - h. Which is the second smallest value? (a) 4 (b) -4 (c) j (d) 0.3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 5313 - 4176. Calculate the remainder when y is divided by 230.\nAnswer: 217","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (304\/10)\/4 + -8?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 11531, 18008, 24485?\n\"Answer: 6477*u + 5054","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 87 and 1769.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Are 125\/16 and 9 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -9836217.6 less than -5?\nAnswer: 9836212.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) = -4*i**2 - 2*i - 3. Suppose -3*y + 4 = -y. Let j(b) = 17*b**2 + 9*b + 13. Let l be (6\/8)\/(7 + (-498)\/72). Determine l*f(n) + y*j(n).\nAnswer: -2*n**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 18694606 divided by -227983\nAnswer: -82","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 0 (base 7) to base 10\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -609210 divided by -315?\nAnswer: 1934","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 233310 - 244112?\nAnswer: -10302","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) = -607*m**2 + 362*m + 18. Let n(w) = -1213*w**2 + 723*w + 33. Let o(z) = -11*h(z) + 6*n(z). Find the second derivative of o(a) wrt a.\nAnswer: -1202","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 82.01635 years to centuries.\nAnswer: 0.8201635","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 7\/14 + 2\/(-4). Let t(x) be the third derivative of 0*x**4 - 1\/30*x**5 + l*x + 0*x**3 + 0 + x**2. Let h(g) = -g. What is t(h(w))?\nAnswer: -2*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let i be ((-2)\/15*6)\/(2\/(-10)). What is the derivative of 5*p**2 - 28 + 0*p**2 - 5*p**2 + 6*p**i wrt p?\nAnswer: 24*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1795472 a multiple of 82?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {h: 1, s: 13, n: 3}. Give prob of picking 1 h and 1 s.\nAnswer: 13\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, -1\/8, 7, 0.4 in descending order.\nAnswer: 7, 0.4, -1\/8, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 777 is divided by 65.\nAnswer: 62","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2*0.36145.\nAnswer: -0.7229","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 7017 in -67, 2, -1, 0.4?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -20*z**2 - 5655*z + 2838*z + 2823*z + 8 to the form m + q*z**2 + o*z and give m.\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 45851743?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) = -g**3 - g**2 + 3*g - 2. Let y be u(1). Calculate the lowest common multiple of 4 and (y + (-3)\/(-9))*-3.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 r when two letters picked without replacement from {r: 9, z: 2}.\nAnswer: 36\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 10 + -134?\nAnswer: -124","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -1 - -221200111012?\nAnswer: 221200111011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*a = -3 + 7. Calculate the common denominator of 306\/88*4\/(-6) and (696\/(-20))\/(2*a).\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 18463710689 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 4, 10 in descending order.\nAnswer: 10, 4, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) = 11200001*f - 1. Let i(o) = -11200001*o + 1. Let c(q) = -3*i(q) - 4*n(q). Let g be c(1). What is g rounded to the nearest one million?\nAnswer: -11000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13*v + 30 = -22. Suppose 4*j - 256 = -0*j - 4*d, -v*d = 12. Is j prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0000122428787 to six decimal places.\nAnswer: -0.000012","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1554580205, 1554580201, 1554580195, 1554580187, 1554580177, 1554580165, 1554580151?\nAnswer: 1554580135","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) = -3*b. Let x(q) = 653*q. Determine x(u(y)).\nAnswer: -1959*y","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*j**3 - 50340*j**2 - 210974796*j + 1691021664.\nAnswer: -3*(j - 8)*(j + 8394)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Do -12825 and -12826 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -1\/24, 38, -28\/109.\nAnswer: -28\/109, -1\/24, 3, 38","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: (-144710)\/5988*18\/15\nAnswer: -29","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence lmcb when four letters picked without replacement from lhccbmcmc?\nAnswer: 1\/378","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 1390604899 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 288305 is divided by 4367.\nAnswer: 83","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 1537056.864ns in weeks?\nAnswer: 0.00000000254143","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 5\/2 + 8\/(-16). Let z = -9\/5 + y. Which is the closest to 3? (a) z (b) 2\/3 (c) -0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 967?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -100*q - 39*q + 11782057. Is q a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -129 - -140. Let n(v) = -v**3 + 12*v**2 + 13*v + 8. Is 17 a factor of n(o)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) = 2*x**2. Let q(f) = -892*f + 21. Calculate b(q(a)).\nAnswer: 1591328*a**2 - 74928*a + 882","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -386, -385, -382, -377, -370, -361?\n\"Answer: p**2 - 2*p - 385","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 120\/37 - 212\/111. Which is the closest to -0.1? (a) 4 (b) -16 (c) w\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) be the second derivative of a**7\/210 - a**4\/24 - 2*a**3\/3 - 4*a. Let b(f) be the second derivative of p(f). What is the first derivative of b(l) wrt l?\nAnswer: 12*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t**(-2\/25)\/(t**(-1)*t*t))**18*(t\/(((t*(t\/(t*((t*t*t\/(t\/(t**(-8)*t*t))*t*t)\/t)\/t))\/t)\/t)\/t)*t\/(t\/(t*t**6\/t)))**46 assuming t is positive.\nAnswer: t**(5264\/25)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*f + 2*l - 7*l + 48, -5*l = 2*f + 32. Let u be 3\/2 + 24\/f. Suppose -4*i - 2*d + 66 = u, -15 = -3*i + 3*d + 21. Solve n + 2*n = i for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine g so that -g**2\/9 - 1307*g\/9 - 1306\/9 = 0.\nAnswer: -1306, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let w be ((-4)\/(-5))\/(-2)*30\/(-72). Which is the closest to -0.5? (a) w (b) -2 (c) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 57479*x - 57462*x - 2040. Let s(k) = -k**2 + k. Let j be s(3). Let c be (j\/4)\/(2\/(-20)). What is the highest common divisor of c and x?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) = k + 11. Let s be 3 + 1\/((-2)\/24). Let v be b(s). Suppose -4 + v = -y. Is y greater than or equal to 3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 49\/5 of a litre in millilitres?\nAnswer: 9800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -24*r + 38*r + 806 + 286. Put -1, r, 3 in descending order.\nAnswer: 3, -1, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:57 AM and 12:31 PM?\nAnswer: 514","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*p + 3*p = 15. Suppose -4*r + 11 = -3*r + p*d, -d = -3. Let b(s) be the second derivative of -2*s**3\/3 + 3*s**2\/2 + 2*s. Give b(r).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-84)\/(-49)*84\/9. Let s(b) be the second derivative of -6*b + 0 - d*b**2 + 8\/3*b**3 - 1\/6*b**4. Solve s(p) = 0 for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 542629.102 rounded to the nearest ten?\nAnswer: 542630","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) = 19*m**2 + 4*m - 412. Let j(x) = -8*x**2 - 2*x + 206. Calculate 2*f(z) + 5*j(z).\nAnswer: -2*z**2 - 2*z + 206","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 42 + -22. Suppose -h = -3*j - 0 - 12, 5*h + 5*j = -o. Let l be (h - (2 - 4))*1. Put 1, l, 3 in decreasing order.\nAnswer: 3, l, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -409, -8, -1 in decreasing order.\nAnswer: -1, -8, -409","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -160949, -160945, -160939, -160931?\n\"Answer: h**2 + h - 160951","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 174870 or 174863?\nAnswer: 174870","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 131597 - 41466. Suppose 85774 = 27*m - u. Is m a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 2084848680?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 1906\/(-8) + 2\/8. Let m(z) = 9*z**2 + 25*z - 80. Let u be m(3). Let a = u - b. Is a a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, 3, -3, 7, -7 in increasing order.\nAnswer: -7, -3, 3, 5, 7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 8619 or 1353022\/157?\nAnswer: 8619","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 4*f**4*g - 307*f**3*g**3 + 1204*f*g**3 - g**2 wrt f.\nAnswer: 48*f**2*g - 1842*f*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2424925?\nAnswer: 5, 96997","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 741 a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {e: 9, c: 7, z: 2}. What is prob of sequence ezz?\nAnswer: 1\/272","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sort -19, 943, 0.1, -1.\nAnswer: -19, -1, 0.1, 943","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000002863710444 rounded to 7 dps?\nAnswer: 0.0000029","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -122797, -245590, -368381, -491170, -613957?\nAnswer: -736742","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (0 - -8) + -16 - -8.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 + 1 + 1 + (-2 - 5 + 0)*(-2 + 0 + 0))*(4*y - 4*y + 2*y) - 4*y + 6*y - y + (-30*y - 26*y + 47*y)*(-7 - 3 + 2).\nAnswer: 97*y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2 - 2 + k**3 + (-k + k - 2*k**2)*(3*k + 0*k - 2*k) - 178*k**3 - 144*k**3 - 121*k**3 to o*k**2 + g*k**3 + p*k + l and give g.\nAnswer: -444","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (j + 1 - 1)*(-2924 - 4475 - 3965 - 2604) to z*j + l and give z.\nAnswer: -13968","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) = -o - 1. Let d be y(5). Let x be (16\/(-12))\/((-4)\/d). What is the units digit of x + 5 + 12 + 0?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (20\/30)\/((-5)\/((-15)\/9)).\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {q: 4, l: 2, v: 2}. What is prob of sequence lql?\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 12*k**3 - 5*k**3 + 9*k**3.\nAnswer: 16*k**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2*(-8)\/(-4) + -5 + 3.\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) = 8*n**2 + 74*n - 61. What is the hundreds digit of l(-26)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000909 to four dps.\nAnswer: 0.0009","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) = f**3 - 2*f**2 - 5*f + 6. Let i = -7 + 11. Is 9 a factor of r(i)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 102*c - 149*c + 235. Solve c*g = 3*m + 14, m + 5*g + 0 = 22 for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 504 minutes after 3:23 AM?\nAnswer: 11:47 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 63 minutes after 2:25 AM?\nAnswer: 3:28 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 62497*k**2 + 388*k + 152 wrt k?\nAnswer: 124994","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is -336 equal to 6978.31?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) = -5*c**2 - c**3 - 1 + 5*c**2 + c. Let g = 0 + 0. Suppose g = -0*o - o + 2. Give b(o).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -251 at most as big as -30?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, -3, 0, -4 in descending order.\nAnswer: 5, 0, -3, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 (base 15) in base 11?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 110.2+-77580911\nAnswer: -77580800.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {r: 5, n: 1, t: 3, y: 3, i: 3}. Give prob of picking 1 n and 1 r.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*b - 2*v = -13, 2*v = -3*v - 5 for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-350)\/(-150)*3\/7?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 4176 and 1276.\nAnswer: 116","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence lll when three letters picked without replacement from sssssssslssssssllls?\nAnswer: 4\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) = 10*l - 6. Suppose 0*a - a + 3 = 0. Let s(h) = -2*h + 1. Give a*z(n) + 16*s(n).\nAnswer: -2*n - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand 4*q**4 - 5*q**4 + 6*q**4 + (-2*q**2 - 3*q**2 + 6*q**2)*(-4*q**2 + 5*q**2 + 0*q**2).\nAnswer: 6*q**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when (-8)\/52 + (-457)\/(-13) is divided by 9.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -40*(-36)\/1440*45\/6?\nAnswer: 15\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -2*u**2*x**2 + 3004*u**2*x + 4605*u**2 wrt x?\nAnswer: -4*u**2*x + 3004*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in 6\/5 of a microgram?\nAnswer: 1200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 804 is divided by 62.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 71 minutes before 1:02 AM?\nAnswer: 11:51 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Add together -27.54063 and -93.\nAnswer: -120.54063","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) = -59*x - 282*x + 13*x + 23*x - 11. What is the tens digit of b(-1)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 7513, 9340, 12391, 16666?\n\"Answer: 612*k**2 - 9*k + 6910","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 34238.\nAnswer: 2, 17, 19, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 22 + -20. Solve 0 = -8*l + 3*l - p - 1, 0 = -2*l - 2*p - s for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -1\/34, -0.5, -2\/7, -1\/106?\nAnswer: -1\/106","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (21784*d - 5554*d + 16328*d + 52613*d - 16 + 16)*(0 + 0 + 2*d**2).\nAnswer: 170342*d**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 737 and 4489?\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) = u**2 + u + 3. Let f be r(-4). Let y = -1 + 1. Suppose q = -y*q + f. Solve -2*p = -5*p - q for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -975\/8 - -973\/8. Which is the second smallest value? (a) l (b) 6\/67 (c) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:55 AM and 9:23 AM?\nAnswer: 448","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.4 and 0.08.\nAnswer: 0.032","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) = -86*s**3 - s**2 - 700*s + 8. Let w(k) = -4*k**3 + 2. Let z(q) = -u(q) + 4*w(q). What is the second derivative of z(r) wrt r?\nAnswer: 420*r + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 9332826.\nAnswer: 2, 3, 1555471","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*(4*sqrt(190) - sqrt(190)))\/(1*(sqrt(10) - sqrt(90) - sqrt(10))).\nAnswer: 3*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 15563 + -3f5?\nAnswer: 1516e","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 0.198 + -4.408. Let d = u + 0.21. Suppose 3*p = -0*p. Does d = p?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) = -48*z**2 - 9*z - 25. Let u(f) = f**3 - 50*f**2 - 10*f - 30. Determine -6*o(d) + 5*u(d).\nAnswer: 5*d**3 + 38*d**2 + 4*d","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) = 57*s**3 - 5*s**2 - 349*s + 1798. Does 2 divide d(5)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (4046\/36414)\/((-25)\/2).\nAnswer: -2\/225","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -2\/21 or 1573?\nAnswer: 1573","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 6\/(-343) + 1 + -1. Let q = -10055\/6174 - k. What is the common denominator of q and 63\/16?\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1159 (base 10) to base 5\nAnswer: 14114","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 316 is divided by 53?\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -72316*j**5 + 183563*j?\nAnswer: -1446320*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let q be -2*((-42)\/(-2) - 1). Let y = q - -8. What is the units digit of (3*1)\/((-12)\/y)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 264 minutes before 6:15 PM?\nAnswer: 1:51 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*y + 9*d + 21 = 0, 0 = -3*y - 24*d - 50 - 31 for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 15748 + 3574. What is the thousands digit of c?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 1316 and -40.3?\nAnswer: -53034.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 2471729 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 -1010 (base 3) in base 15?\nAnswer: -20","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put 23, -39062, -0.79 in decreasing order.\nAnswer: 23, -0.79, -39062","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 92.53 + -93. Round r to 1 decimal place.\nAnswer: -0.5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -3 + (-2 - (-8 - (-6 - -7)))?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find r such that 9*r**3\/5 + 861*r**2\/5 + 1416*r\/5 + 564\/5 = 0.\nAnswer: -94, -1, -2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (8*i + 13*i - 4*i)*(11*i + 6 - 6)*(-4 + 4 - 5) to the form k + j*i + m*i**2 and give m.\nAnswer: -935","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence hg when two letters picked without replacement from ghhh.\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 0 + (-6 + -4 + 9)\/15. Which is the nearest to p? (a) 4 (b) 0.1 (c) 4\/3 (d) -2\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 438273?\nAnswer: 3, 11, 19, 233","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -33? (a) 15 (b) 3 (c) -1\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) be the second derivative of -i**5\/20 - 11*i**4\/12 - 25*i**3\/6 + i**2\/2 - 228*i. Let k be y(-3). Solve -k + 0 = -l for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -9 - -14. Solve -2*q**5 - 4*q**2 + 2*q**5 + q**n - 2*q + 4*q**4 + q**5 = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -25\/6 (b) -1 (c) 1\/10\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-116)\/39150*81)\/(-6)?\nAnswer: 1\/25","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {c: 1, v: 9, t: 1, i: 7}. What is prob of picking 2 v and 1 t?\nAnswer: 3\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) = -2*s**2 + 12*s + 12. What is w(-4)?\nAnswer: -68","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -93*m**2 - 7 - 17 + 95*m**2.\nAnswer: 2*m**2 - 24","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00014121951 to six decimal places.\nAnswer: 0.000141","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 4\/(16\/(-15))*-100. Let g = i + -241. Let l be (-2000)\/(g\/46 + -3). What is l rounded to the nearest 10000?\nAnswer: 20000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -q = -5*z - 43, -5*z + 125 = 240*q - 467*q + 232*q for q.\nAnswer: 28","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 11 - (-31 - (-18 - 5)) - -18?\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-34)\/(-17)*675\/60)\/(-1 - 51\/(-36)).\nAnswer: 54","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) = -5 - 3*q**2 + 4*q**2 - 5*q - 2*q**2 + 0*q**2. Let o be 221\/(-17) - -13 - 4*1. Determine f(o).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1191*l**2 + 18*l**3 - 2369*l**2 + 1178*l**2.\nAnswer: 18*l**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -709186*j**3 + 35*j**2 - 30803632?\nAnswer: -2127558*j**2 + 70*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) = -2*b - 8. Let y(h) = 6*h + 43. Let s(l) = 6*k(l) + y(l). Let o(j) = j + 1. Give 11*o(g) + 2*s(g).\nAnswer: -g + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3*h + 4 - 4*h + 8*h + (h + 0*h + h)*(2 + 1 - 1) + 20 - 20 - 3*h + 4*h + 4 - 9 - 3*h to the form o + l*h and give o.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 2 + -2.1. Let v = -15162 + 90725\/6. Let z = -41 - v. What is the nearest to i in -2\/7, -1\/4, z?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1494250 (base 14) to base 16.\nAnswer: -992afe","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 21024 and 144.\nAnswer: 21024","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) be the third derivative of -b**6\/180 + b**5\/10 - 2*b**4\/3 - 4*b**2. Let u(i) be the second derivative of k(i). What are the prime factors of u(-17)?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 342, 343, 342, 339, 334?\nAnswer: 327","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:51 AM and 6:44 PM?\nAnswer: 473","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*j - 4*s - 140 = 0, 4*s + 66 = 5*j - 3*j. What is the units digit of j?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-61*z**2 - 22*z**2 - 6*z**2)*(0 + 2 - 5) + 3*z - 3*z - 2*z**2 + (0*z - z + 3*z)*(-z + 0*z - z) - z**2 + 3*z**2 + 0*z**2.\nAnswer: 263*z**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -205 + 209. Let w(q) = -27 + 6 - y*q - 13*q. Let a(s) be the first derivative of 2*s**2 + 5*s - 1. Calculate -9*a(t) - 2*w(t).\nAnswer: -2*t - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 8\/3 or 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14 = 3*a + p + 3, -5*p = -10. Solve -a*l + 12 = 6 for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 3 - v**2 + 5*v**2 + 0*v**2 - 2*v**2 in the form b*v + d + m*v**2 and give m.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*k**2 - 2*k + 2*k)*(-4*k**3 - k**3 + 2*k**3) + (-3 - 2*k**2 + 3)*(-5*k**2 + 5*k**2 + k**3).\nAnswer: -11*k**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -61*d + 58*d = -3*i - 6, -4*d - 2*i + 20 = 0 for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2 - 6*b**3 + 5*b**3 + 2*b**2 - 57*b**2 to the form c*b + t*b**2 + f + o*b**3 and give t.\nAnswer: -55","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let v be ((-4)\/(-1))\/(5*20\/75). Suppose 22 = 2*a + 6. Sort v, 0, a in increasing order.\nAnswer: 0, v, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10*u = 9*u + 28*u - 7*u for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) = -5454*j - 54549. Give a(-10).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) = 21981*q. Let b(n) = -3*n - 3. Give w(b(f)).\nAnswer: -65943*f - 65943","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -24 + 36. Suppose 5*v - 78 - b = -5*f, 4*v = 5*f + 27. Does 3 divide v?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, -3, 3, -1 in decreasing order.\nAnswer: 3, -1, -3, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 209530577 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify o**(-2\/5)\/o**15*(o\/o**6)**(3\/5) assuming o is positive.\nAnswer: o**(-92\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Determine v so that -26*v**2\/7 + 1114*v\/7 + 172\/7 = 0.\nAnswer: -2\/13, 43","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is -296133\/73 at least 0.4?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 9883333631 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify b*b\/b**(-6\/5)*b\/(b*b**(-3\/4)*b*b*b*b) assuming b is positive.\nAnswer: b**(-1\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) = 3*t**2. Let v(o) = -3*o**2 - 545. Determine v(r(q)).\nAnswer: -27*q**4 - 545","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 d and 2 v when three letters picked without replacement from ddddddvv?\nAnswer: 3\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 89471694?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (25115\/15)\/(2\/(-366)). Let r = d - -435603. What is r rounded to the nearest ten thousand?\nAnswer: 130000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (3\/(-12) - -1)*-4. Put y, 1\/4, 0.2 in descending order.\nAnswer: 1\/4, 0.2, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 37\/4 + -161\/20. Let 9\/5 + 1\/5*j**2 - l*j = 0. What is j?\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 428 divide 38285884?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 = 5*x - 4. Suppose -x*m = 3*m - 15. Solve 3*c + 3 = m*o, 2*c - 4*o + 2 = -3*o for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 110 + (-3 + -9 - -8) + -18 + 1 + 15?\nAnswer: 104","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) = 3*j**3 - 5*j**2 + 6*j - 2. Let m be p(2). Let b = -17 + m. Are 9 and b unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 2957, 5998, 9039, 12080, 15121?\n\"Answer: 3041*u - 84","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Add together -3063586073 and 38234.\nAnswer: -3063547839","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 166*q - 58*q + 426*q = 0 for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 - 6 - (7 + -18 - -3)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 77203 times 1?\nAnswer: 77203","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let -j**2\/4 + 1443*j\/2 + 272428 = 0. What is j?\nAnswer: -338, 3224","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {x: 3, b: 1, f: 1, z: 2, s: 4}. What is prob of picking 2 z, 1 b, and 1 x?\nAnswer: 1\/110","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Divide -2 by 770.\nAnswer: -1\/385","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.3936 rounded to 2 decimal places?\nAnswer: 0.39","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 48128 and 104.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.85 and 3008869.\nAnswer: 2557538.65","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 122\/((-1047492)\/1053)*4\/(-13).\nAnswer: 2\/53","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 0 - -54?\nAnswer: 54","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 7\/((-28)\/(-36)) + -5. Let a(l) be the second derivative of 1\/6*l**i + 1\/2*l**3 + 4*l + 0*l**2 + 0. Find the second derivative of a(x) wrt x.\nAnswer: 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 340 by -3130.\nAnswer: -34\/313","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Determine s so that 4*s**2 - 964*s + 6552 = 0.\nAnswer: 7, 234","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 70164003289 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -9 in -0.2, -7, -3\/4, -0.5?\nAnswer: -7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -179 + 188. Suppose -o*n = -722 - 250. Is 9 a factor of n?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) = 2 - 1 + 2*p**2 + 2*p - p**2 - 5*p + 16*p**3. Is w(2) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: -876 divided by 6\nAnswer: -146","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the billions digit of 3098588483?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*p**3 + 16479*p**2 - 231255*p + 214773.\nAnswer: 3*(p - 13)*(p - 1)*(p + 5507)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is (-220)\/66 + 1\/3?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3764*y + 1962*y + 98268 = 497*y + 57*y for y.\nAnswer: -19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 8715 is divided by 993?\nAnswer: 771","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -26, -61, -96?\n\"Answer: -35*n + 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w**6\/w)\/w*w)\/(w\/w**(2\/9)*w*w)*((w*((w*((w*w\/(w**(-1\/5)*w))\/w)\/w*w)\/w)\/w)\/w)\/w*w**(3\/7) assuming w is positive.\nAnswer: w**(268\/315)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Does 144 divide 2037600?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Does 39 divide 40298?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) = u**2 + 6*u + 4. Let g be k(-6). Sort 3, -5, g in increasing order.\nAnswer: -5, 3, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -53\/2979 and -101\/6620?\nAnswer: 59580","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) = o + 13. Let x be (1 - (-8)\/(-6))\/(2\/66). Let v be s(x). Calculate the greatest common divisor of v and 16.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 10 - 6. Suppose 1 + h = c. Calculate the lowest common multiple of 4 and c.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 7737 is divided by 30?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth biggest value? (a) -3 (b) 2\/5 (c) -16 (d) 10 (e) -1\/5 (f) 2\/9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in 21625.005 months?\nAnswer: 180.208375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -151 - -236. What are the prime factors of 1\/(-3) - d\/(-3)?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -z = 4*z - 2*x + 25, 4*x = 4*z + 20. Let b(s) = 32*s - 38*s - 6 + 0. List the prime factors of b(z).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) = -w**2 + 609*w - 10011. Calculate n(17).\nAnswer: 53","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) = 6*h**3 - 23*h**2 - 4*h + 2. Let f(p) = -2*p + 1. What is the remainder when f(-5) is divided by x(4)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) = 4*h + 15. Let z(c) = 5*c + 16. Let k(o) = -6*d(o) + 5*z(o). Give k(7).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 151134695 to the nearest integer?\nAnswer: 12294","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1.2? (a) -4 (b) -1\/6 (c) 1\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 2915 a multiple of 55?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) = -13*n**3 + n**2 - n + 1. Suppose 0*z + 2*z + 4*t = 10, -4 = 4*z - 4*t. Give a(z).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) = 6*a. Let u be x(1). Let n be -4*(-1)\/(4\/(-20)). Let g = n + 32. Calculate the highest common divisor of u and g.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 45 = 5*y - 5*b, -3*y + 2*b - b = -19. Let h be (-8)\/(-6) - 5\/15. Suppose -5*w - 10 = -5*p, -w - p + h = -1. Sort -5, w, y.\nAnswer: -5, w, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 283 minutes before 4:26 PM?\nAnswer: 11:43 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*w + 4*l = 4*w - 126, 2*w - 3*l = 118. Solve 0 = 7*u - w + 5 for u.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from fffeyeffaceefe. What is prob of sequence ec?\nAnswer: 5\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 81*u**3 + 134*u**3 + 102*u**3 + 26*u**3 - 53*u**3.\nAnswer: 290*u**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 19385*h**2 + 4 - 3 - 6455*h**2 - 6464*h**2 - 6450*h**2.\nAnswer: 16*h**2 + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*s - 12 = -6*s. Which is the closest to -1\/3? (a) 0.5 (b) s (c) -0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 t and 1 c when two letters picked without replacement from {c: 2, s: 6, a: 3, t: 5, b: 2}.\nAnswer: 10\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (0\/8)\/((-2)\/(-2)). Suppose -92 = -4*j - k. What are the prime factors of j?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine l, given that 2*l**4\/7 - 36*l**3\/7 - 178*l**2\/7 + 36*l\/7 + 176\/7 = 0.\nAnswer: -4, -1, 1, 22","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -0.04520884 + 0.0452. Round f to 6 decimal places.\nAnswer: -0.000009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) = -358*l**2 - 7171*l - 50. Give x(-20).\nAnswer: 170","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence nonf when four letters picked without replacement from {o: 2, n: 5, u: 6, f: 1, y: 5}?\nAnswer: 5\/11628","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + 4 + -5*(-1 + sqrt(171) + sqrt(171)).\nAnswer: -30*sqrt(19) + 10","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 338 + -326. What is the fourth biggest value in 1\/2, l, 1\/3, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0.7 - 3.7. Let i(t) = t**3 + 4*t**2. Let x be i(-4). Let f be (4\/2)\/68*4. What is the closest to x in f, -0.4, v?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) = -l**3 + 5*l**2 - 2*l + 1. Let r be y(4). Suppose z + 4 = r. Let t = -658 + 657.6. Sort z, t, 0.1 in descending order.\nAnswer: z, 0.1, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -678*v + 173*v + 170*v - 681*v to q*v + t and give q.\nAnswer: -1016","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-9)\/(3 - 0) + 423. What is l rounded to the nearest 100?\nAnswer: 400","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7274857 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 519372 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Express (-1 + 1 + y**2)*(-4*y - 6*y - 4*y) + (-4*y + 6*y - y)*(-7 + 8 - 1 - 495*y**2) in the form o*y + r + f*y**2 + m*y**3 and give m.\nAnswer: -509","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -8241.92063 - -8242. Round u to two dps.\nAnswer: 0.08","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -13*d + 5*d = 40 for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Express -11*o + 1 + 1 + 15*o + o**2 in the form a*o + m*o**2 + b and give a.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*y - 10, 0 = 97*f - 98*f + y + 26497. What is the hundreds digit of f?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -3 (b) 3605 (c) -37\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) = -n**2 - 11*n - 10. Let w be h(-10). Suppose -3*m + 37 = 4*d, w*m = 4*m - d - 24. Is m a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-r**5 - 5 - 2*r**3 + 2*r**3)*(-4 - 1 + 3)*(4 - 2 - 1).\nAnswer: 2*r**5 + 10","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 7945176 to the power of 1\/2, to the nearest integer?\nAnswer: 2819","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*sqrt(3328))**2.\nAnswer: 53248","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1478, 1502, 1540, 1592, 1658, 1738?\nAnswer: 1832","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 6 - 3)*(5 - 3 + 5*s + 11*s).\nAnswer: 16*s + 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 10386464 and 48?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) = -g**3 - 4*g**2 + 6*g + 6. Let l be z(-5). Let u(m) be the second derivative of -1\/2*m**3 + 0*m**2 - 19*m - 1. What is u(l)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-11*k**2 - 14 + 14)*(-2 + 2 - k) - 23*k + 1 + 4*k**3 - 24*k**2 + 6*k + 18*k.\nAnswer: 15*k**3 - 24*k**2 + k + 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 6481 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 132 is divided by 70?\nAnswer: 62","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 3817 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) = -19*i**2. Let u(r) = 93*r**2 + 91*r**2 - 207*r**2. Determine m(u(f)).\nAnswer: -10051*f**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand -75*d - 8 + 41*d + 44*d + (3 + d - 3)*(-1 + 1 + 1).\nAnswer: 11*d - 8","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 91, 180, 269?\nAnswer: 358","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 238.58 + -236. What is x rounded to 0 decimal places?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -4*d - 2*d + 0*d + 2*d to o*d + s and give o.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) = n - 3. Let y be ((-18)\/(-27))\/((-15)\/(-36))*5. Determine f(y).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) = -2*k**3 + 142*k**2 + 159*k - 1187. Calculate v(72).\nAnswer: -107","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -95325, -190297, -285269?\nAnswer: -380241","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) = -f**3 - f**2 - 2*f - 1. Let d be v(-3). Suppose -4*r = -3*r - d. Solve -z - 2 = 0, r = -3*m - 5*z + 1 for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) = p - 3. Let h(k) = 6 - 2 - k - 3 + 0*k. Let g(n) = 5*h(n) + 2*y(n). Suppose 4*a + 3 = 5*v + 12, 4*v = 5*a - 9. Calculate g(a).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*p**5 - 1803*p**4 + 157272*p**3 - 3283986*p**2 + 20634666*p - 9515883 = 0. What is p?\nAnswer: 1\/2, 13, 137","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -25 = -310*c + 315*c + 5*h, 3*c + 7 = -h for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-546)\/(-33 - -59) - -19)*((-18)\/(-4) - 2)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*q - 25 = 5*q. What is the units digit of (q - 7)*(-73)\/2 - -2?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3194154200 rounded to the nearest one hundred thousand?\nAnswer: -3194200000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (6 + -2)*((-672)\/128 + -10).\nAnswer: -61","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 k, 1 f, and 1 h when three letters picked without replacement from {k: 6, f: 2, h: 3, p: 1, a: 2, n: 5}.\nAnswer: 12\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) = g. Let s be v(4). Let q(n) = -n**2 - 13*n - 41. Let h be q(-7). What is the units digit of h - 8\/s - -9?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1116126079 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/(-39) + (-944)\/(-104)?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 7850295 and 258.\nAnswer: 129","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 3546132 and 3233238.\nAnswer: 109930092","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 292 minutes after 12:46 AM?\nAnswer: 5:38 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) = 2*v**3 + v**2 - v + 1. Let j(s) = -10*s**3 + 21*s**2 + 2*s - 2. Give j(z) + 2*p(z).\nAnswer: -6*z**3 + 23*z**2","meta":{"dup_signals":{},"source":"polynomials__add_test"},"subset":"dm_maths"} +{"text":"Question: Solve -4*a = -4*k - 16 + 12, -5*a + 8 = -2*k for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*sqrt(5)*5 - (-4 + ((sqrt(80))**2 - sqrt(5))).\nAnswer: -76 + 6*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 divided by 42250544?\nAnswer: -1\/42250544","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) = 16*c**3 - 24*c**2 + 35*c - 11. Is k(18) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 28, 29, 28, 25, 20?\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) = -11*b - 459. Let c be i(-23). Put c, 3, 0.3 in ascending order.\nAnswer: c, 0.3, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from docdoocc. What is prob of sequence cc?\nAnswer: 3\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: ((3\/(-7))\/((-15)\/70))\/((-8)\/100)\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence tt when two letters picked without replacement from zvtthtzthvhtrzv?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 43, 252, 831, 1966, 3843, 6648, 10567?\n\"Answer: 31*r**3 - r**2 - 5*r + 18","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 2\/(-10) - 196\/20. Let p be (8\/y)\/((-9)\/(-90)). Let c(i) = -i**3 - 8*i**2 + i + 8. Let l be c(p). Is 0.1 at most l?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 201166 and 1904?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 1093323106?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (55\/(-10) - -4)*-2. Suppose -3*i - n*v - 117 = 0, -2*i - 90 = -3*v - v. Let b = i + 46. What are the prime factors of b?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 33*g - 35*g = -6. Let h = 8 - 4. Suppose -32 = -2*d + 4*w, h*d - 60 = -d + 5*w. What is the lowest common multiple of d and g?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {c: 5, q: 4, x: 3}. Give prob of picking 2 q.\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) = -5*g**2 - 7. Let r(s) = -s**2 - 1. Let u be (-2)\/2*(-3 + 4). Let z(q) = u*f(q) + 6*r(q). Let x(l) be the first derivative of z(l). What is x(-2)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve s**5\/4 + 33*s**4\/2 + 1233*s**3\/4 + 1088*s**2 - 10404*s = 0.\nAnswer: -36, -17, 0, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*b**4\/3 + 1139*b**3\/3 - 3702*b**2 + 12712*b\/3 - 2752\/3 = 0. What is b?\nAnswer: -172, 2\/7, 1, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*a - t + 5 = 0, -3*t + 16 = a + 1. Suppose a = -5*r + 2*w + 45, -18 = -4*r + 2*r - 5*w. What are the prime factors of r?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify n**(-3\/7)\/(n**(2\/3)\/n)*(n*n**(6\/5))**(-16) assuming n is positive.\nAnswer: n**(-3706\/105)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 21 (b) -1 (c) 0.4 (d) 1\/11\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 269700918?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -54661772*b**3 + 3*b**2*j**2 + b*j**2 + b*j - b - 4*j**2 + 4747*j - 14 wrt b?\nAnswer: -327970632*b + 6*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 88 + -33. Calculate the greatest common divisor of m and 22.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose g - 10 = -7. Is (-6)\/g*83\/(-1) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 1220940*j - 2959446 wrt j.\nAnswer: 1220940","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is ((-200)\/(-16) - 11)*(-15462376)\/(-12) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.6897 rounded to 2 decimal places?\nAnswer: -0.69","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13*r = -10*r + 15. Put r, 4, -1 in descending order.\nAnswer: 4, -1, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*f**2 + 2*f**2 - 39 - 4*f**2.\nAnswer: -2*f**2 - 39","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) = 13*d**2 - 615*d - 4155. Give c(-6).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-14)\/(-5)*((-15)\/(-10) + -4).\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 3365 or -24164?\nAnswer: 3365","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) = -5*l - 1. Let s be y(-1). Let w be (-16)\/42 - s\/14. Let q = -2.2 - -2.2. What is the nearest to 0.1 in q, w, -2?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -69a5 (base 11) to base 12\nAnswer: -539a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (3 + (-14)\/4)*(21 + 1). Let z = 1 - -19. Let t = z + j. What are the prime factors of t?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*d - 149 + 184 = 0 for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) = 12 - 12 - 5*x**2. Let j(b) = -2*b**2. What is j(t(c))?\nAnswer: -50*c**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Total of 305.5 and -248.9.\nAnswer: 56.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Express (1 + 1 - 5)*(5*g + 3 - 2 - 7*g) in the form s + b*g and give b.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 67 - 3727 = -192*k + 2100 for k.\nAnswer: 30","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 1558.0977 - 1558. Let i = 56.7977 - r. Round i to zero decimal places.\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 362117647 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (9\/5)\/3 - (-21)\/(-35). Suppose -3*a + 5 = -j, -3*j + b*j + 3 = 0. Let o(l) = 3*l**2 + 3*l - 1. Determine o(a).\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) = -c**3 + 8*c**2 + 211*c + 39. Let v be j(19). Solve -23 = 9*u - v for u.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 420970 a multiple of 89?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/4 of a meter in centimeters?\nAnswer: 25","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) be the second derivative of w**3\/6 + 10*w**2 + 4*w. Let g be i(-14). Solve g*z - 2*z = 0 for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in -0.11, 26, -0.1, -111, -3.2, -3\/8?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Product of -1047 and -0.13.\nAnswer: 136.11","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.079809 less than -395.9?\nAnswer: -395.979809","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 340505\/97286 - 2\/48643. Factor 1\/2*i**2 + 0 + s*i.\nAnswer: i*(i + 7)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -6.84100018328 - -6.841. Round i to seven dps.\nAnswer: -0.0000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 2938288\/35 - 83944. Let u = k - 34\/5. What is the second smallest value in u, 0, -2?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (3 - 3 + p**2)*(-124*p + 65*p + 691 + 39*p + 63*p) to the form k*p**2 + a*p + u*p**3 + o and give u.\nAnswer: 43","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -3335 (base 8) in base 4?\nAnswer: -123131","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) = -w**2 - 19*w + 14. Let b be c(-14). Let s = -78 + b. Solve 0*n - n + 5*h + 12 = 0, -n + s = -3*h for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -519 - -5587. Does 156 divide z?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) -0.2 (b) 2\/5 (c) -0.4 (d) -2\/3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.3? (a) 0.2 (b) 0 (c) -4 (d) 29 (e) -4\/2257 (f) 13\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 262 a factor of 1076007235?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) = 241*v - 599. List the prime factors of z(8).\nAnswer: 3, 443","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 188 - 190. Let i(l) = l - 2. Let a be 10\/35 + (-66)\/(-14). Let b be (a\/10)\/((-1)\/6). Let h(n) = 1. Give b*h(s) + c*i(s).\nAnswer: -2*s + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 3823295805 to the power of 1\/3, to the nearest integer?\nAnswer: 1564","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-174)\/9 + 12\/(-18). Let h = s + 52. What are the prime factors of h?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + 1 + 4)*(12*h**2 + 2*h**3 - 12*h**2) - h**3 + 0*h**3 + 2*h**3.\nAnswer: 13*h**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Does 84 divide 16056348?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c**(2\/13)\/c)\/c**(-24) assuming c is positive.\nAnswer: c**(301\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (3\/2)\/(9\/60). Suppose b = 5*f - 0. Suppose -f*a + 6*x = x + 3, 3*x = 9. Solve -a = -2*n + 3*i, 2*i = -3*i - 20 for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 0 - 141?\nAnswer: -141","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 3\/23? (a) 0 (b) -4 (c) -0.5 (d) -1103 (e) -0.3 (f) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 1441710 divided by -30?\nAnswer: -48057","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -5214 divided by -869?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is -0.09 > 21\/3074?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*g + 7*g = -24. Let r(i) = -i**3 + 3*i**2 + 2*i - 3. Let x be r(3). Calculate the greatest common divisor of g and x.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 103 - 104 = -z. Solve -z + 7 = 3*t for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 5816256?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*j**5\/4 - 33801*j**4\/4 - 303903*j**3\/4 + 709221*j**2\/4 - 185757*j\/2 = 0. What is j?\nAnswer: -11258, -11, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let 55*f**2 + 563430*f - 47612080 = 0. What is f?\nAnswer: -10328, 922\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*n - 3*g + 13 + 7 = 0, -5 = -g. Let a be (16 - 13) + n + 0. Suppose -2\/3*m**4 + 0 + 0*m**3 + 0*m**a + 0*m = 0. What is m?\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2736143 is divided by 93?\nAnswer: 83","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 597 - 1177 + 432*b**2 + 580 - 448*b**2.\nAnswer: -16*b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 612 minutes before 11:32 AM?\nAnswer: 1:20 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 6\/(-5*(-9)\/(-30))?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 97667822.\nAnswer: 2, 7, 17, 41, 10009","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(98) + -2 - sqrt(2) - (-1*sqrt(72))**2.\nAnswer: -74 + 6*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 2.2466 - -0.1034. Round o to two decimal places.\nAnswer: 2.35","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -1329709*v**4 + 36*v**2 + 302229276*v wrt v?\nAnswer: -15956508*v**2 + 72","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*l - 39 = -8*l. Let k be l + (-3 - -3) + 0. Suppose -4*u - k = -5. Let d(g) = -3*g + 1. Determine d(u).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, 2, -25555731.\nAnswer: -25555731, 0, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {n: 10, m: 2}. Give prob of picking 3 n.\nAnswer: 6\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 13779 - 14051. Which is smaller: -2\/65 or o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:21 PM and 6:25 PM?\nAnswer: 184","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 4 - 7\/2. Let z = 0.283519 - 0.383519. Let x be 2\/(-12) + 0 - 0. Which is the smallest value? (a) -2\/9 (b) s (c) x (d) z\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 11\/2448 or 1?\nAnswer: 11\/2448","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 22358762?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*b - 6*m + 8*m - 60861992 = 0, 2*m = 3*b + 91292992. Round b to the nearest one hundred thousand.\nAnswer: -30400000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 0 - 2*l)*(-1 - 2 + 4)*(-11*l**3 + 4*l**3 + 6*l**3).\nAnswer: 2*l**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 13081?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {y: 1, h: 1, t: 1, s: 1, i: 1, v: 2}. Give prob of sequence vth.\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4 = -2*n + 4*r, 5*n - 1 = -2*r + 13 for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) = -2 - 2 + 15 + 9 + t. Let i(s) = 2*s. Determine i(j(d)).\nAnswer: 2*d + 40","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose c - 2 = -0. Suppose 1272 = 4*b - c*b - 2*n, -1268 = -2*b - 2*n. Is b a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l**(-2\/5))**(2\/9)\/(((l*l\/(l**(1\/2)*l))\/l*l)\/(l\/(l\/(l*l\/(l*l**(2\/17))))*l))*(l*l**(3\/5))\/(l\/l**(3\/4))*l**(-4\/9)*l*l**(-3\/7) assuming l is positive.\nAnswer: l**(19781\/7140)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 j and 1 r when two letters picked without replacement from {r: 6, e: 2, j: 7}.\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {v: 3, b: 17}. What is prob of sequence bb?\nAnswer: 68\/95","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 29.44 - 30. Let f = -0.06 - l. Let b be (6\/(-15))\/((-22)\/10). Sort b, f, 1\/3.\nAnswer: b, 1\/3, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*g - 21 = 7. Suppose -33 = -3*t - 5*x, 21 = -5*x + 6. Suppose v = 5*v - t. Let u(i) = 3*i + 5. Let h(z) = 5*z + 9. What is g*u(f) + v*h(f)?\nAnswer: -f + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -1 + 1 + 2*n + (2*n + 12 - 2 - 1)*(1 - 6 - 1) to the form m + p*n and give m.\nAnswer: -54","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3529 = 9*z - 278. Calculate the smallest common multiple of z and 27.\nAnswer: 1269","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 16651 to the nearest integer?\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Express -p**2 - p**2 + p**2 - 4 - p**2 + 4 + (-p + 2*p + 0*p)*(5*p - 3*p - 3*p) - 11 + 11 - 44*p**2 in the form h*p + w*p**2 + n and give w.\nAnswer: -47","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Determine m so that 1613*m**4\/2 + 4387361*m**3 + 9267*m**2\/2 - 4387361*m - 5440 = 0.\nAnswer: -5440, -1, -2\/1613, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 u, 1 q, and 1 l when four letters picked without replacement from lgluunnuunvulgquun.\nAnswer: 7\/340","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) = -q**3 + q - 1. Let f be d(-2). Let c = 266 - 226. What is the highest common factor of c and f?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from xnnzzznxnnnwfzn. Give prob of sequence nwz.\nAnswer: 2\/195","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) = -5*z - 5. Let a(q) = 1 - 9 - 5*q + q + 2 + 0*q. What is 4*a(u) - 3*l(u)?\nAnswer: -u - 9","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 8 and 7572?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 1 (b) -0.0041 (c) -1 (d) -2 (e) -4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9 = i - 4*i. Let b = 0 - 1. Put 4, b, i in decreasing order.\nAnswer: 4, b, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0.89 - 1.09. Let k = 31.5 - 26. Let v = 0.5 - k. What is the second smallest value in v, 5, q, -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2*(1\/(6\/2))\/(94\/(-1833))\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-21834)\/(-4)*(11\/(-3) + -43 + 47). Is r equal to 1820?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from nwrraatrrfarnaw. What is prob of sequence nn?\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 5191853 to the nearest integer?\nAnswer: 2279","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2? (a) 2 (b) -1 (c) -42\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -62*z = 10*z + 648 for z.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 7 - (9 + 8 + -13).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) be the third derivative of 0*k + 1\/15*k**5 + 0*k**4 + 2*k**2 + 0*k**3 + 0. Let n(c) = -2*c**2. Determine n(u(t)).\nAnswer: -32*t**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -1527733.01197 - 0.24\nAnswer: -1527733.25197","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.3? (a) 0.2 (b) 0.09 (c) -1 (d) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) = 24*h**2 - 14*h - 5. Suppose -22*y + 20*y - 16 = 0. Is r(y) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) = -p**3 + 6*p**2 + p - 4. Let v be z(6). Suppose 2*x + 4 = 0, 4*n = -0*n + 5*x - v. What is the least common multiple of (2 - 6 - n)*-2 and 5?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 121*y - 5*y + 396 = -10740 for y.\nAnswer: -96","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 160\/11 (b) 0.3 (c) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1813 and 184583?\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 110 minutes after 2:37 PM?\nAnswer: 4:27 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 377 = -5*k + 337 for k.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 0 - -2. Suppose 64 = 3*j - b*j. Round j to the nearest ten.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 103 + 247 - 4*f**4 + 5*f**4 - 3*f**2 - 185*f**3 + 4*f**2 wrt f?\nAnswer: 24*f - 1110","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -k + 5*k = 3*o - 4, -4*k - o = -12. Factor 4*w + 2*w**2 + 5*w**k + 0*w**2 - 3*w**2.\nAnswer: 4*w*(w + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) = 6*m**2 - 67*m - 288. What is the remainder when p(31) is divided by 54?\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*g = -4*n + 111, -19 - 30 = -3*g + 2*n. Suppose g - 42 = -k. What is the tens digit of k?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -y - 39 + 11 = 3*v, -8 = v - y. List the prime factors of 815 + 19 + -8 + v.\nAnswer: 19, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -176026 + -3?\nAnswer: -176031","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 35955 is divided by 11013.\nAnswer: 2916","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*m**2\/11 - 80*m\/11 + 78\/11 = 0. Calculate m.\nAnswer: 1, 39","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 63207 and 315.\nAnswer: 2212245","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Divide 30 by -6321.\nAnswer: -10\/2107","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 1226, 2428, 3628, 4826?\n\"Answer: -b**2 + 1205*b + 22","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*p**2\/4 + 5128713*p\/4 + 35900697\/2.\nAnswer: 3*(p + 14)*(p + 1709557)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*v - 5*v + 7 = 3*j, -5 = -5*v + j. Let k be (-2)\/(5\/(15\/(-2))). Solve -v*p - k*d = -14, 0 = 3*p - 3*d - 0 - 6 for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2*w + 2*w - 2 + w)*(-20*w + 44*w - 55 - 15*w) + (w + 3*w - 3*w)*(w - 3*w + w) to m + h*w + v*w**2 and give m.\nAnswer: 110","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 89229060 a multiple of 80?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) = -2*i**2 - i + 7. Let d(y) = -3*y**2 - 3*y + 13. Let t(b) = -3*d(b) + 5*g(b). Let h be t(-4). Is 40\/6*h\/(-15) a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) = 11*t**2 - 2*t - 1. Let r be g(-1). Suppose r = -5*f - 2*o - 20, f + 3*o = -9. List the prime factors of 4\/f - 17\/(-3).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*q = -4*q + 14. Suppose 3*s = q + 1. Suppose -v - 124 = -s*v. What is the units digit of v?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) = 2*h**2. Let y(d) = 5*d - 37. Let o be y(8). Let p(l) be the first derivative of 0*l + 1\/3*l**3 + 0*l**2 + o. Give s(p(a)).\nAnswer: 2*a**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -172439 divided by 78?\nAnswer: -172439\/78","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.053 times 25.1?\nAnswer: 1.3303","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in 4147.71 tonnes?\nAnswer: 4147710","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5689047 is divided by 218809?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sort -12, 3, 0.2, 1\/9 in decreasing order.\nAnswer: 3, 0.2, 1\/9, -12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 443\/6 - 1067\/15. Let p(k) = -10*k**3 + k**2 + 5*k - 5. Let y be p(7). Let g = y + 16816\/5. Find the common denominator of g and m.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) = -l**3 - 6*l**2 - 3*l + 37440. What are the prime factors of i(0)?\nAnswer: 2, 3, 5, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) be the second derivative of -r**3\/6 + 7*r**2\/2 + r. Suppose 2*m = -3*m + 30. What is the units digit of x(m)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 e when two letters picked without replacement from eeeeseseeee.\nAnswer: 36\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let g be ((-14)\/8 + 1)*-12. Let b(d) = -19 - 4 - 4*d + g. Let z be b(-13). What is the highest common divisor of z and 19?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 2 + -4055553?\nAnswer: -4055551","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, -215, -28, 153.\nAnswer: -215, -28, 1, 153","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.0310458 + -26.98?\nAnswer: -25.9489542","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from rrhcrrc. What is prob of picking 1 h and 1 r?\nAnswer: 4\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 192695478.\nAnswer: 2, 3, 32115913","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 5\/24 of a decade in months?\nAnswer: 25","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -4 + -104013?\nAnswer: -104021","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 21904 - 3816 = -476*p for p.\nAnswer: -38","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -o - 2*o - 9 = 0, -49 = -n - o. Suppose n = 4*g - 12. Let b(i) = i - 4. Let z be b(5). Solve 4*c + 2*v - g = 3*v, -c - v = z for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:57 PM and 10:50 PM?\nAnswer: 173","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let q be -1 + 0 + 0 - 165\/(-55). Solve -3*y + 4*n + 0 = 5, -q*y = 5*n + 11 for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2 + 401*i**3 + 4 - 9*i**2 - 2*i - 3 + 1004*i**3.\nAnswer: 1405*i**3 - 9*i**2 - 2*i - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -402, -1295, -2788, -4887, -7598, -10927, -14880?\nAnswer: -19463","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert -67b7 (base 13) to base 3.\nAnswer: -201220121","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*m - 2*m = 10. Let i(c) = 30*c**2 - c + 2. Let v be i(m). Let l = v - 44. What is the units digit of l?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) be the second derivative of 2*y**4\/3 + 10*y**3\/3 + 16*y**2 + 14*y - 4. Let a(k) = -10*k**2 - 20*k - 32. Let g(x) = -3*a(x) - 4*v(x). Factor g(b).\nAnswer: -2*(b + 2)*(b + 8)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 15572 is divided by 61.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/8 of a milligram in micrograms?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 14 times 0.5?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/5 of a kilometer in meters?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -221*f - 121*f**3 - 73*f**3 + 155*f**3 + 123*f**3.\nAnswer: 84*f**3 - 221*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 211, 360, 499, 622, 723, 796, 835, 834?\nAnswer: 787","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) = -39*r + 3. Let b be p(-1). Suppose -4*y + 6 + 2 = 0, 0 = -4*u + 3*y + b. What is the highest common factor of 6 and u?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -63 + 2090\/57*(-12)\/(-20)?\nAnswer: -41","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2560 divided by 1?\nAnswer: 2560","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*p = -5*d + 70003, 0 = -p - 3*d + 5600 + 3167. Is 77 a factor of p?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -2\/1043 - -38621\/15645. What is the common denominator of d and 3\/(3 - 0) + 261\/63?\nAnswer: 105","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 43207668 and 84?\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, -70, -10542, -8 in ascending order.\nAnswer: -10542, -70, -8, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -880 - -880. Sort -22, w, 3, -5 in ascending order.\nAnswer: -22, -5, w, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -2 from -15.023.\nAnswer: -13.023","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00000475079597 to seven decimal places.\nAnswer: 0.0000048","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 393278 and 4?\nAnswer: 786556","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (3\/(-27))\/(1\/6).\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-1 + (-3)\/6)*(-16)\/(-12). List the prime factors of 160 + (-3 - -4 - 1)\/c.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 183 and 42639?\nAnswer: 183","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) = -4*s**3 + 4*s**2 - 6. Let i(t) be the first derivative of -t - 1\/4*t**4 + 1\/3*t**3 + 0*t**2 + 5. Give -5*i(f) + j(f).\nAnswer: f**3 - f**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -216\/13 in 1\/3, 0, 2, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*q - 21 = -3*m, -3*m - q - 3 = 3*q. Sort -3, 0, -4, m.\nAnswer: -4, -3, 0, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 751343?\nAnswer: 751343","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 4597 + -2914. Calculate the lowest common multiple of d and 1683.\nAnswer: 1683","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) = 2*x**3 - 19*x**2 - 248*x - 107. Calculate h(17).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Round -2798.67 to the nearest 1000.\nAnswer: -3000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, 657\/19, -0.3, -4\/3 in ascending order.\nAnswer: -3, -4\/3, -0.3, 657\/19","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 2 (base 10) to base 12\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) = 9*a**3 - 64*a**2 + 6*a + 17. Let r be x(7). Let m(h) = 25*h**2 + 2*h - 2. Let k be m(1). Solve 30*q = k*q - r for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 1.05 + -0.65. Suppose -4*r = 3*a - 6, 3*a + 13 = r - 2*a. What is the second smallest value in g, -4, r, -1\/2?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2 + 2*j**4 + 9*j**2 + 2*j**3 - 44*j**2 - 43*j**2 to g*j**3 + s*j + l*j**2 + p + u*j**4 and give u.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*l - 3 = 3*s, s = 3 - 0. Let o be (l\/(-2))\/(3\/4). Solve -w - 10 = 3*f - o*f, -w - 5 = 0 for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:50 AM and 9:40 AM?\nAnswer: 50","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10929*d - 1776 = -10855*d for d.\nAnswer: -24","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -7 + 12. Let z be (((-15)\/6)\/5)\/(3\/2). Put u, z, -1 in decreasing order.\nAnswer: u, z, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -5, -23, -45, -65, -77, -75, -53, -5?\n\"Answer: d**3 - 8*d**2 - d + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-300)\/(-5))\/(-4)*(-1)\/(-3)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 21.5 times 168417\nAnswer: 3620965.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 divided by -35.\nAnswer: -1\/35","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 6 + 1 + -30 + 27 + -2. Suppose 0 = f + 2*i - 63, -f + 4*i = -h*f + 53. What is the units digit of f?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {g: 5, o: 3, h: 2, l: 7, x: 1}. Give prob of sequence xho.\nAnswer: 1\/816","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -6\/19 + 43\/76. Which is the third biggest value? (a) x (b) -9 (c) -0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -5\/8, -2\/7, -2, 0.12, 3 in decreasing order.\nAnswer: 3, 0.12, 0, -2\/7, -5\/8, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((3*sqrt(72)*-1)\/sqrt(9)*2)\/((sqrt(320)\/sqrt(32))\/(5*sqrt(40)\/sqrt(4))))**2.\nAnswer: 7200","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 86359470251 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) -0.14 (b) 6 (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 1 (base 12) to base 3\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + ((-6*(sqrt(13) + sqrt(13)*-4 + sqrt(13) + 1 + sqrt(13) + sqrt(13)) + sqrt(1872) + 5*sqrt(1872) + -2)*-2 + 2)**2.\nAnswer: -5184*sqrt(13) + 269891","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 210 = 25*n - 65. Solve 36*m + 83 = n for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 20\/6*6\/(-5). Let q be (-5)\/(3 - (-2)\/(-1)). Let a be 3\/(-3)*3 - -2. Sort q, w, a in ascending order.\nAnswer: q, w, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) = 76714*d**2 - 8*d - 7. Let l be c(-1). Suppose -l + 298715 = -6*q. Round q to the nearest 10000.\nAnswer: -40000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4105 (base 9) in base 5?\nAnswer: 44002","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 45061\/2540 + 6\/635. What is the common denominator of i and -56\/33?\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:06 AM and 6:29 AM?\nAnswer: 203","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is (96\/(-45))\/((-2)\/(-5))*(-1734)\/(-1156)?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (1*-1)\/(19\/(-1102)). Let b = n - -7. List the prime factors of b.\nAnswer: 5, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 22 greater than 0.9?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -y**2 - 131*y - 39?\nAnswer: -2*y - 131","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0*a**2 - a**2 + 3*a**2 + 14*a**2 - 18*a**2 - 61 to s*a**2 + f + g*a and give f.\nAnswer: -61","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) = -2169*x - 34757. Give b(-16).\nAnswer: -53","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 7509 divided by 1.\nAnswer: 7509","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -59*k + 198*k - 1390 = 0 for k.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {s: 6}. Give prob of picking 3 s.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -108 (base 15) to base 11\nAnswer: -1a2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v\/((((v**(-8)\/v)\/v)\/v)\/v))\/v**(-3\/11)*((v*v\/(v\/(v\/(v*v**(-6\/11)*v))))\/v)\/v**(-4) assuming v is positive.\nAnswer: v**(185\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 1 - -76. What is the remainder when s is divided by 27?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 19 - 7. Solve k*q = 9*q - 12 for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z**1\/((z**(-3\/7)\/z)\/z))\/((z*z**(5\/3))\/(((z**(-2)*z)\/z)\/z)))**(-2\/27) assuming z is positive.\nAnswer: z**(94\/567)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -17 + 12. Suppose 50*o = -113 - 337. Sort 5\/2, y, o.\nAnswer: o, y, 5\/2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -123\/663890 and 10\/266684613.\nAnswer: 2666846130","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*i + 3 - 3 + 4*i - 3*i + i + (0 + 2 - 4)*(-i - 2 + 2) + 5*i - 4*i + 3*i)*(-i**2 - 3 + 3).\nAnswer: -10*i**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 2*-0.00348\nAnswer: -0.00696","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Product of -32 and -112639.8.\nAnswer: 3604473.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d**(-2))**(-23)*d**(2\/11)*d*d**(-6))**33 assuming d is positive.\nAnswer: d**1359","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1239 = -4397*c + 3158 for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from yjkkjjujyujqjjjuyjj. Give prob of sequence jjy.\nAnswer: 15\/323","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: -cb (base 14) to base 15\nAnswer: -be","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 51*i = 18*i + 396. What is the greatest common factor of 240 and i?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((u*u**(-10))\/u**(-5\/3))**(3\/23))**(-26) assuming u is positive.\nAnswer: u**(572\/23)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -54 - -56. Let z = -201 + 204. Put d, 5, z, -3 in increasing order.\nAnswer: -3, d, z, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) be the second derivative of -j**3\/6 - 143*j**2\/2 - 489*j. Let l(g) = -4*g**2. What is v(l(x))?\nAnswer: 4*x**2 - 143","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) = -n**3 - n**2 + 17. Let x(i) = -5*i + 30. Let c be (-4)\/(-18) - (-156)\/27. Let l be x(c). Calculate t(l).\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 31 a factor of 4019243?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Convert -10a6548 (base 12) to base 8.\nAnswer: -14162610","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 677 + 1445. Suppose -20*v + 22*v = j. Is v prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 69*j - 60*j - 117 = 0. Suppose -j*x = -4378 + 1284. Is 14 a factor of x?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 14554335041 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the billions digit of 1432661926?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1143514279.\nAnswer: 97, 11788807","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -2470, -4309, -6140, -7963?\n\"Answer: 4*o**2 - 1851*o - 623","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -3326, -5344, -7362, -9380, -11398, -13416?\nAnswer: -15434","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-8 + 1 + 11)*(-4 + x + 4 + (-3*x + 2*x - x)*(-3 - 5 + 6) - 1 + x + 1 + x - 3*x + x).\nAnswer: 20*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(1375) - 3*(-1*sqrt(1375) + sqrt(1375)) - 3*-1*sqrt(1375))\/(-2*sqrt(1331) + sqrt(1331) + ((sqrt(66)*-1)\/sqrt(6) + sqrt(11) - sqrt(11))).\nAnswer: -5*sqrt(5)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 2717805311 and 13?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1046 is divided by 128.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*j**4 + 36*j**3 - 216*j**2 + 540*j - 486 = 0. Calculate j.\nAnswer: 3, 9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 4290859 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 53300?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 121 + ((-22458240)\/1449)\/128?\nAnswer: -2\/23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -74010 divided by -4934?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*n + n - 95000. Round n to the nearest ten thousand.\nAnswer: 100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1161756 (base 8) to base 16.\nAnswer: 4e3ee","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*c - c + 3*y = -3281, 0 = -5*c + 3*y - 16333. Let d = 1694 - c. Is d a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -3 and 51642?\nAnswer: 51645","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (a - a - 2*a)*(0 + 0 + a**2) - 357*a**3 + 185*a**3 - 75*a**3.\nAnswer: -249*a**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 143387 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -5*q - 12 - 10 + 24*q + 19*q - 15 to the form g + f*q and give f.\nAnswer: 38","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 3121, 3132, 3157, 3202, 3273?\n\"Answer: k**3 + k**2 + k + 3118","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from zzxxx. Give prob of picking 2 x.\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*i + i = -40. What is the third derivative of -18*o**3 + i*o**3 - 3*o**2 + 6 + 47*o**3 + 10*o**3 wrt o?\nAnswer: 294","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*h - 97 = -3*c, 263*c + 4*h - 75 = 258*c for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Round 66.0403 to one decimal place.\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7564*r + 435 - 45 = 7538*r for r.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -v + 79 = -2*u - 106, 0 = 5*u - 5. Let o = v + -55. Is o a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 91\/26*4928\/(-1176)*(-6)\/((-2)\/2)?\nAnswer: -88","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 80 and 30?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) = -w**3 + 33*w**2 + 38*w - 22. Let h be u(34). Is h at most as big as 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.314073241 to 1 decimal place.\nAnswer: -0.3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*r - 51 = -2*f, -5*f + f = -5*r - 147. What are the prime factors of f?\nAnswer: 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 20 - 17?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -1373 + 2481. List the prime factors of d.\nAnswer: 2, 277","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -52 - 39 + 6 = 85*f. Let v be (-34)\/60 - 2\/(-5). Let h = -3 + 2.6. Which is the closest to 0.1? (a) h (b) f (c) v\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-126)\/(-35))\/(-9) - (-54)\/10?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6 a factor of 3126071533?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Does 3 divide 8491?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2? (a) -212 (b) 2 (c) -0.4 (d) 0 (e) 2.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 561 (base 9) to base 11.\nAnswer: 389","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -4404 - -6532. Let n = g - 901. Is n prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 92 and 7222?\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 1807 to the power of 1\/5, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (3 - 0)*(-39)\/27. Let c be (-46 - -1)\/((-65)\/(-20) + -4). Let i be (1\/3)\/((-4)\/(c*1)). Which is smaller: i or w?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -33*b - 387 = -78*b - 84*b for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -3559*d**3*u**5 - 43879*d**3*u + 4*d*u**5 wrt u.\nAnswer: -71180*d**3*u**3 + 80*d*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4 + (-1 - -2) + (6 - 7) + -6.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4 + -4 + 2 + -4 + 15 + -5.\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:47 AM and 6:11 PM?\nAnswer: 624","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1380*s + 8*s + 16 - 16.\nAnswer: -1372*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -1280 divided by 1284\nAnswer: -320\/321","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*g - 5*i - 10 = 0, 2*i = -3*g + 9 + 6. Let u(m) = 4*m - 259*m**3 + 258*m**3 - 11*m + 8*m**2 - 1. Is 15 a factor of u(g)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 588824061?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 62868 and 260?\nAnswer: 314340","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 6\/45*-6 - -2. Factor 0*t - g*t**2 - 2\/5*t**3 + 0.\nAnswer: -2*t**2*(t + 3)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-2)\/((-8)\/6)*(-2)\/(-3). Suppose 10*o = 5*o. Put o, y, 5 in increasing order.\nAnswer: o, y, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -10 + (-11 - 3) + 57 + -57 + 0.\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00004307631957 to six decimal places.\nAnswer: -0.000043","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7 + 3 = 2*i. Is 21 a factor of (105\/25)\/(i\/(-30))?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be -2 - -33*6\/9. Let a(r) be the first derivative of -19*r**2 - 19*r**2 + m - 22*r + 38*r**2 + 8*r**3. What is the first derivative of a(v) wrt v?\nAnswer: 48*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -51\/4 and 4\/(-1)*4\/36.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -182, -196, -214, -236, -262, -292?\nAnswer: -326","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) = -6*b**2. Let i(h) be the first derivative of -5*h**2\/2 + 35. What is n(i(s))?\nAnswer: -150*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 45 - 47.7. Let d = 2.70000088 + j. Round d to seven decimal places.\nAnswer: 0.0000009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 23 divide 1556?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Express -z**3 - 2*z**3 - 652026 + 652026 + 2*z**2 + z**4 - 2*z**4 - 86*z as m + q*z**3 + h*z**4 + b*z + p*z**2 and give b.\nAnswer: -86","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) = 181*t**3 + 2*t**2 + 2*t + 37. What is the units digit of w(4)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (57\/(-12))\/(184\/(-32) - (-17 + 10))?\nAnswer: -19\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 42352 is divided by 2637?\nAnswer: 160","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 496 + 21094 = -34*d. Let w = d - -648. Solve 10 = w*a - 15*a for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) be the first derivative of 20*b**3\/3 + 10. Let j(h) = -3*h**2. Calculate i(j(r)).\nAnswer: 180*r**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:32 PM and 3:53 AM?\nAnswer: 681","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) = -2*n**3 + 6*n**2 - 17*n - 3. Let v be j(8). Let i = 14438 - v. Is i prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are 2\/265874179 and 1 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 20*k**6*l**2 - 5399*k**6*l - k**2 - 117780*k*l**2 wrt k?\nAnswer: 2400*k**3*l**2 - 647880*k**3*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) be the second derivative of -9*o**4\/4 + o**3\/2 - o**2 - 120*o. Let w be 1 + 0 + 1 + -1. Let d be f(w). Is d at most -25?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 15\/482 + -557\/2410. What is the fourth biggest value in v, 0, 3\/98, -4\/3, 5?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -99 rounded to the nearest 100?\nAnswer: -100","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -859226 - -12403?\nAnswer: -846823","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand -a + a - 2*a**5 + (4*a**2 - a**2 - 5*a**2)*(a**3 + 0*a**3 + a**3) + 2*a**5 + 3*a**5 - 3*a**5 + (2*a**4 + 4*a**4 - 4*a**4)*(7*a - 2*a - a).\nAnswer: 4*a**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) = -l**3 - l**2 + 185. Let p be o(0). Let s = 149 - p. Put -3, s, 5 in decreasing order.\nAnswer: 5, -3, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 12 + (-1 - -10 - 12)?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*t + l = 9, t + 2*l + 0*l = -3 for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 1\/(255\/(-425) - (-2 + 22\/30)). Let c(x) be the third derivative of 1\/40*x**6 + 0*x + x**2 + 4 + 4*x**3 + 3\/10*x**5 + r*x**4. Factor c(f).\nAnswer: 3*(f + 2)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/3 in 2\/19, -65, -7, -1\/3?\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 62900.48 millilitres to litres.\nAnswer: 62.90048","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 66\/(-154) + 9\/(-28)?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 divided by 40?\nAnswer: -1\/10","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -72 + 51. Calculate the common denominator of -41 and 184\/c - 48\/84.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 7156, 7170, 7200, 7246, 7308?\n\"Answer: 8*h**2 - 10*h + 7158","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) be the first derivative of -2*p**4\/9 - 14*p**3\/27 - 2*p**2\/9 + 2*p\/9 - 6. Suppose y(f) = 0. What is f?\nAnswer: -1, 1\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6817 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 0.31 (b) -1\/3 (c) 92 (d) 27\/19\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(342)\/(sqrt(486)*-2))\/((sqrt(96)\/sqrt(4) + sqrt(24))\/sqrt(8) + (sqrt(18)*2)\/sqrt(6)).\nAnswer: -sqrt(19)\/72","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence fh when two letters picked without replacement from bhfhs?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*i**4 + 154428*i**3 - 12*i**2 - 463276*i + 308856 = 0 for i.\nAnswer: -38607, -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) be the first derivative of 7*i**2\/2 - 118. Let b(q) = -19*q. What is t(b(d))?\nAnswer: -133*d","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -1.3 - 1.7. Let w = 6 - 1. Let q = 7 - 11. Put c, w, q in increasing order.\nAnswer: q, c, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -2 + 533?\nAnswer: 531","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 7788*a**2*o**3 - 3*a**2*o - 45*a*o**2 + 2*a*o - 3 wrt o.\nAnswer: 46728*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 + 8 = 2*j for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -1122121 - 2201?\nAnswer: -1202022","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5758855220.\nAnswer: 2, 5, 287942761","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) = 247*l - 3898. Determine o(16).\nAnswer: 54","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -60 - -58. Which is the closest to i? (a) -5 (b) 6 (c) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -85350.67809 - -85352. Let q = n + -1.5883. Let j = -0.265 - q. What is j rounded to 4 dps?\nAnswer: 0.0014","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -13*o**4 + 4*o - 5*o - 14*o**3 + 18*o**4 + 9*o**3 to g + w*o + b*o**3 + z*o**2 + f*o**4 and give w.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 54 divided by 1532.\nAnswer: 27\/766","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.1? (a) -65 (b) 0 (c) -2 (d) -0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 231 is divided by 36?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*y = -14*y + 12. Suppose 0*t = -y*t + 36. Solve -12 = -4*j + 5*h, 0*j = -2*j - 3*h + t for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 243246 and 426.\nAnswer: 426","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand 730*q**3 + 672*q**3 + 589*q**3 + (-1 - 3*q**2 + 1)*(1 - 1 - 2*q).\nAnswer: 1997*q**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from tttzzztvtm. Give prob of sequence ztz.\nAnswer: 1\/24","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (44\/(-110))\/((-63)\/(-35)).\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -0.44 - 0.06. Let z = w - -5.5. Let d = z - 1. Which is the second smallest value? (a) 5 (b) -3 (c) d\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be ((-931)\/2)\/(48\/(-864)). Suppose 5*v - 4786 = c. Is v a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: -5 + -34805\nAnswer: -34810","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let g be ((-330)\/(-44))\/(1\/(-104)). Round g to the nearest one hundred.\nAnswer: -800","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 242060*g*h**2 + 5682*g*h - 22*g - 2*h wrt h.\nAnswer: 484120*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2\/7? (a) 1\/7 (b) -1\/6 (c) -2\/15 (d) -6\/29\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) = -800*d. Let t = 17 + -22. Let o be j(t). What is o rounded to the nearest 1000?\nAnswer: 4000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*z - 49060 = -5*n, -3*n + 14*z + 29414 = 16*z. What is the units digit of n?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) = 4*q. Calculate the lowest common multiple of 3*((-492)\/(-180) - (-8)\/(-120)) and o(2).\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3 + -4 + 5 - (-3 + 3)\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 21 = 7*v - 7. Suppose v*j - 379 = -19. Calculate the greatest common factor of 36 and j.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*f = -5*c - 3, 0 = -c - 3*f + 1 + 2. Suppose 2*v + 8*v - 720 = c. Suppose 0*b - 24 = -2*b. What is the highest common factor of v and b?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) be the third derivative of b**5\/45 - 34*b**4\/9 + 134*b**3\/9 + b**2 + 243. Suppose h(c) = 0. Calculate c.\nAnswer: 1, 67","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) = -2*h + 3. Let o(w) = -30*w + 45 + 35*w**3 - 37*w**3 + 18*w + 15*w. Calculate the remainder when o(0) is divided by y(-5).\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1057 by 3.\nAnswer: 1057\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) = 1. Let y(p) = -11*p + 12. Let t(f) = -6*i(f) + y(f). Let z be t(-8). Let a = z + -47. What is the remainder when 184 is divided by a?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*o + 36 = 2*u - 83, 0 = 4*u - 4*o - 168. Does 30 divide u?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 v when four letters picked without replacement from {v: 6, w: 12}?\nAnswer: 1\/204","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 37 + -22. Calculate the greatest common divisor of 165 and r.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 209 is divided by 58.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*r = 58753*m - 58757*m + 21, 4*m - 24 = 8*r for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.6093389 hours to seconds.\nAnswer: 2193.62004","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5454183.\nAnswer: 3, 7, 259723","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -f - 2*k - 6 = -3*f, 0 = -4*f + k + 12. Suppose -3*i + 2*t + 25 = 0, 4 = f*i - i + 5*t. Is i prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.232065681 to five dps.\nAnswer: 0.23207","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Convert 61031.31g to nanograms.\nAnswer: 61031310000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -89 - -81. Let j be (-17)\/(-4) - -2 - (-2)\/b. Solve -2*x + j = -4*x for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (21 - (-529)\/(-69)) + ((-20)\/(-12) - 1)?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-10)\/(-40)*3*(-16)\/(-6)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) = -c**2 + 5*c - 1. Suppose 5*o = -0*o + 20. Let k be x(o). Sort -10, -2, k, 2 in descending order.\nAnswer: k, 2, -2, -10","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:36 PM and 5:54 AM?\nAnswer: 558","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-13552)\/280*(-1125)\/825?\nAnswer: 66","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -367bb5 (base 15) in base 4?\nAnswer: -21330300101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, -1, -234749, 2, -4 in descending order.\nAnswer: 2, 1, -1, -4, -234749","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*m + 10*m - 5*i = -20, 5*m + 3*i + 44 = 0. What is the tens digit of (-103)\/m - (-4)\/14?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 1378 and 22.\nAnswer: 15158","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many days are there in 1436.2773 hours?\nAnswer: 59.8448875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) be the first derivative of 6*f**3 + 6*f**2 + 2*f - 14. Determine q, given that y(q) = 0.\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -37387847 to the nearest 100000.\nAnswer: -37400000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -3390.9998193 - -3391. Round w to 5 decimal places.\nAnswer: 0.00018","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -5.8 and -18.743?\nAnswer: 108.7094","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) = -897*c + 76284. Determine b(85).\nAnswer: 39","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 1\/5 of a millimeter?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) = 2*o**3 + 205*o**2 - 1416*o + 76. What is w(-109)?\nAnswer: -33","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose v + 0 - 3 = 0. Solve 0 = v*q - 5*q for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*u**4\/5 + 434*u**3\/5 - 6390*u**2 + 836806*u\/5 - 2863288\/5.\nAnswer: -2*(u - 71)**3*(u - 4)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(44)\/sqrt(64)*-3.\nAnswer: -3*sqrt(11)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 13\/129065 and 43\/103252.\nAnswer: 516260","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/5? (a) 3 (b) 2\/5 (c) -1 (d) -57488\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s**1)**(-44) assuming s is positive.\nAnswer: s**(-44)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) = p - 4 + p**2 + 2*p**3 - 7 - p. Let g(u) = 3*u**3 + u**2 - 16. Let l(h) = 5*g(h) - 7*v(h). Determine l(3).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 120475?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (31237 + 30537 - 61223)*(2 + c - 2) + (-2 - 2 + 5)*(-4 + 4 + 2)*(-2 + 2*c + 2).\nAnswer: 555*c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1790)\/(-2148)*-1*2\/(-1).\nAnswer: 5\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -101021210 (base 4) in base 9?\nAnswer: -116318","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 3\/5 of a gram?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 10351 (base 14) to base 11\nAnswer: 273a3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 11677 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) = j**3 + 19*j**2 + 55*j + 123. Determine a(-16).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -380 = 9*y - 10*y. Suppose -9 = -3*v, v - 5*v = -4*q + y. Is 23 a factor of q?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -107010, -107002, -106994, -106986, -106978, -106970?\nAnswer: -106962","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {z: 1, r: 3, m: 4, o: 6, w: 4, v: 1}. Give prob of picking 1 v and 2 m.\nAnswer: 2\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -11242 - -3?\nAnswer: -11234","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 2321036 to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) = 38*c**3 - 2*c**2 - 3*c + 3. Is o(2) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -10258? (a) -0.4 (b) 5\/3 (c) 3247\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 s when two letters picked without replacement from gsggsggsssgg?\nAnswer: 5\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -2.3 - -0.3. Let v be (-42)\/140*(-10)\/12. Sort 3\/4, y, v in decreasing order.\nAnswer: 3\/4, v, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-5)\/(-5)*(-4)\/(-8)*0. Determine q, given that o + 26\/7*q**4 - 38\/7*q**3 - 4\/7*q + 22\/7*q**2 - 6\/7*q**5 = 0.\nAnswer: 0, 1\/3, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 10 a factor of 574040?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 = -5*s + 2*v + 19, v + 10 = 3*s. Suppose m + s*m - 99 = 0. What is the greatest common factor of m and 22?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be ((-3)\/(-1))\/(-3)*(-16 + 6). Calculate the greatest common divisor of 95 and t.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -1 - -2. Let k = 373\/1029 + -10\/343. Which is the nearest to 4? (a) 0 (b) k (c) o\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 11917 - 11916. What is the closest to -0.1 in 4, b, 2\/13, 3\/7?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 8544?\nAnswer: 2, 3, 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7*x**2 + 3*x**2 - 19479*x + 6*x**2 - 38269*x.\nAnswer: 2*x**2 - 57748*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is (-60 + 77 - -10) + -83?\nAnswer: -56","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) = 7*c - 1. Let d be r(1). Suppose 2*i + 13*i = 120. Solve -2*k = -d*k - i for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7\/4 of a kilogram in grams?\nAnswer: 1750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 1330 + -1330. Let d = -0.71 - 0.19. Let y = 88 + -790\/9. Which is the nearest to -1\/5? (a) d (b) y (c) o\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 1.5 + -1.1. Let b = 5.84 + 0.16. Let x = -6.5 + b. What is the second biggest value in d, -0.1, x?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2596?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 54 and 109704.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z\/(z**(-6)\/z))\/z*z**(-1\/3)*(z*z**0*z)**(-2\/7))**(-14) assuming z is positive.\nAnswer: z**(-256\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Factor p**2\/2 + 29*p\/2 - 465990.\nAnswer: (p - 951)*(p + 980)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -73.58 + 76.58. Let s = 15 + -17. Which is the closest to r? (a) s (b) -1\/6 (c) -2\/13\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 300 a factor of 246695?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let x be ((-15)\/(-18))\/((-4)\/(-24)). Let p = x - -5. Calculate the remainder when 29 is divided by p.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 17 divide 727464?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 3\/(-6)*(-21)\/((-567)\/36)\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w be -1 + 2 - (-2 + 3). Suppose w = -3*v + v - 4. Let c = 4 - 6. Is c < v?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -18 - 57 - 105 = -9*q for q.\nAnswer: 20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 25056 and 11393056?\nAnswer: 307612512","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 22424294.\nAnswer: 2, 19, 37, 41, 389","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -73127 or -73141?\nAnswer: -73127","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*w - 15 = -x, 4*w = 3 + 13. Suppose 0 = -5*t + x - 11. List the prime factors of t + (1 + -3)\/2.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:57 PM and 8:40 PM?\nAnswer: 463","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -4 + 7. Suppose -25*b + 17*b + 24 = 0. Suppose 3 = 4*j - 0*t + 5*t, b*j - 5*t = 46. Solve -4*w - y*r = 31, 0*w + 3*r + j = 2*w for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 1120\/25 - 2\/(-10). What is the highest common divisor of b and 15?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) = 3*t**2 + 77*t + 64. Let i(c) = 20*c**2 + 500*c + 416. Let k(m) = 32*b(m) - 5*i(m). Find v, given that k(v) = 0.\nAnswer: -8, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 91174761?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -522 + 6132. Suppose -g = -4326 - o. Suppose -28064 - g = -2*b. What is b rounded to the nearest ten thousand?\nAnswer: 20000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) = 104190*r + 1057. Let f(q) = 296*q + 3. Determine 1057*f(g) - 3*x(g).\nAnswer: 302*g","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Express (-105*f + 164*f + 5 - 118*f)*(0 + 0 + f**3) + f**4 + 4*f**4 - 3*f**4 + (0 + f + 0)*(-2 - 7*f**3 + 2) as b*f**3 + r*f**4 + a*f**2 + d*f + c and give r.\nAnswer: -64","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 v and 1 p when three letters picked without replacement from {p: 1, v: 3}.\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15*m - 49 = 14*m. Does 7 divide m?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) = -8*g - 193. What is the remainder when 236 is divided by r(-29)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + sqrt(57)\/(sqrt(3) + sqrt(6)\/sqrt(2)).\nAnswer: -4 + sqrt(19)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of (-18 - -17) + (-2 - 394\/(-2))?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) = r**3 + 2*r**2 - 4*r - 1. Let o be m(-3). Suppose -w - o*q + 549 = 0, 2144 = 4*w - 0*q - 5*q. Is w a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-20 - 8 - -5) + 6.\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((w*(w*w\/(w**(-1\/3)*w)*w)\/w)\/w)\/(w\/(w*w**11)))\/(w*w\/w**(4\/3)*w**(-2\/87)))**35 assuming w is positive.\nAnswer: w**(11865\/29)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 4261 to the nearest integer?\nAnswer: 65","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 47 + (72 - (18 - -92)).\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 106186003 to the power of 1\/4, to the nearest integer?\nAnswer: 102","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from rrrjj. What is prob of sequence jr?\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Express (-1 - 468*q - 1 + 0)*(4 - 4 + 2)*(-3*q**2 + 3*q**2 - 8*q**2) in the form c + r*q + w*q**2 + s*q**3 and give c.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -778669, -778667, -778665, -778663, -778661?\n\"Answer: 2*f - 778671","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*n + 0*n - 4*o = -84, 4*n + 4*o = 148. Suppose -4*r = -5*g - 40 - n, r - g = 18. Is 14 a factor of r?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 520, 999, 1408, 1741, 1992?\n\"Answer: -g**3 - 29*g**2 + 573*g - 23","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1087?\nAnswer: 1087","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) be the second derivative of -11*a**3\/3 - a**2\/2 + a. Is f(-4) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) = o**3 + 50*o**2 + 2*o + 104. Calculate y(-50).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (61\/(-488))\/(14\/16)*21\/(-114).\nAnswer: 1\/38","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 187\/90 and 89\/50.\nAnswer: 450","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-5)\/(-2)*(-2)\/3. Let f = -738 - -738.013. Which is the fourth biggest value? (a) f (b) 2\/5 (c) 3\/2 (d) g\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 1 = -5\/145941?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -179 - -173 - (-3 + 16 - 6)?\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 27820 a multiple of 23?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 754 and 45508424?\nAnswer: 754","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 431 is divided by 134.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 176 (base 9) to base 15\nAnswer: a0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -778649510 rounded to the nearest one million?\nAnswer: -779000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a\/a**(-2))\/(a*(a**(5\/7)*a)\/a)*a**(-7)*a*a**9 assuming a is positive.\nAnswer: a**(30\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Convert 65 (base 14) to base 16.\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -659 in 206, 322, 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 + 3 - (60 - 2) - (88 + (-87 - 1))?\nAnswer: -55","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) = 4*s**2 - 2*s - 2. Let g be x(-2). Suppose -r = -g - 116. What are the prime factors of r?\nAnswer: 2, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 12989 to the power of 1\/4, to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1324 = 2*u + 1328, 4*r = -u + 46 for r.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -502.9537 + -0.0463. What is the biggest value in 3, -2\/19, f, -0.5?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose y + 5*v = -9, -2*v = v + 3. Sort 3, y, -3.\nAnswer: y, -3, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -49541345*4\nAnswer: -198165380","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Does 6090 divide 785555190?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -e7ad4 (base 15) in base 13?\nAnswer: -1c960c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: -20 + (-67 - -6) + 16 + 16\nAnswer: -49","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 839 + -597. Let a = p - -31. Suppose -a = -2*j + 3*g, 5*j - 3*g = -4*g + 657. What is the highest common divisor of 12 and j?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 3456887*m*q*r*y**3 + m*q + q*y**2 - 1593*q*y + 23*r*y**3 + 3*y**3 wrt m?\nAnswer: 3456887*q*r*y**3 + q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*f - 27 = -4*c + 3*c, -c = 5*f + 23. Let y(w) = -6*w**c - 8 + 14*w**2 - 2*w**2 - 3*w. Is y(5) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in 1\/4, -198, -0.12, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Total of 0.182 and 23.805.\nAnswer: 23.987","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 770, 766, 762, 758, 754?\nAnswer: 750","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + (sqrt(300) + (sqrt(300)*3 - sqrt(300))*6 + 0)**2 + (sqrt(1089) - (sqrt(1089)*-2 + sqrt(1089)))\/(-3*sqrt(9)\/sqrt(3)).\nAnswer: -22*sqrt(3)\/3 + 50701","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 t and 1 u when three letters picked without replacement from {d: 4, u: 9, r: 3, t: 4}.\nAnswer: 9\/190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 t and 1 e when three letters picked without replacement from tzztztztzzezzzzzttz.\nAnswer: 5\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sort -14, 5, 1, 3, 63.\nAnswer: -14, 1, 3, 5, 63","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*6*(sqrt(272) - (sqrt(272) + -3)**2) + (-2 + sqrt(272) + -3 - (sqrt(272)*2 - sqrt(272))*-6)**2.\nAnswer: -1288*sqrt(17) + 23469","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -8566*k**5 + 22*k**2 + 148*k - 2.\nAnswer: -513960*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 2*y + 3)*(y**4 - y**4 - y**4) + (-2*y - y**2 + 2*y + (-4*y + 2*y + 3*y)*(-7*y + 5*y - 25*y))*(3*y**3 - 2*y**3 + y**3).\nAnswer: -58*y**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -19943 + 19971. Suppose 5*g - 17 - 18 = 0. Calculate the remainder when m is divided by g.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be ((-208)\/28)\/(-2) + 14\/49. Suppose 5*q + 22*f = 23*f - 5, 0 = -h*q - 4*f + 20. Is 4\/91 at least q?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 974049 to the power of 1\/9, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) = p**2 - 6*p + 2. Let w be t(6). Let m(z) = -15*z**2 - z + 4. Let h be m(4). Let k = h - -1204\/5. Which is the nearest to -1? (a) k (b) -0.09 (c) w\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 g, 1 b, and 1 k when four letters picked without replacement from bkbbyykgbbbbkkgb.\nAnswer: 8\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (14 - 53 - -38) + 26.\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) = -4*n**2 - 5*n. Let b(s) = -s**2 - 6*s - 5. Let u be b(-6). Let r(q) = -5*q**2 - 6*q. Determine u*r(d) + 6*w(d).\nAnswer: d**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -48621, -97310, -146035, -194796?\n\"Answer: -18*u**2 - 48635*u + 32","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 191\/13 + -1869\/52. Find the common denominator of y and 2*5\/(-8)*1.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 523?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 3999 and 13271348?\nAnswer: 1333","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence zzjj when four letters picked without replacement from {j: 13, z: 3}.\nAnswer: 3\/140","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -143.71 + -1.29. Let k = 169.612 - 23.942. Let u = p + k. Is u > 0.1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) = -z. Let b(i) = 10 - 3*i**2 - 2*i**2 - 10. Give b(f(t)).\nAnswer: -5*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 4\/7 in -3, -200, 0.22, 0.1?\nAnswer: 0.22","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 27 a factor of 156432?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify l**(-8)\/((l\/l**18)\/l)*((l*(l*l**19*l*l)\/l)\/l)\/l**(6\/11) assuming l is positive.\nAnswer: l**(335\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 8 + -6. Suppose -2 = -2*d + f. Suppose 4*v + 1 = 3*h, -d*v + 2*h = 2*v - 2. Solve t = -0*t - v, k - 4*t - 11 = 0 for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 379 - 378. Solve 1 = -2*c - z, -4*q - 19 = 3*c for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) = -3*q**3 + 10*q**2 + 3*q + 1. Let y(n) = n**3 - 3*n**2 - n. Calculate h(r) + 2*y(r).\nAnswer: -r**3 + 4*r**2 + r + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 25*j*n*s**2 + j*s**2 - 18*j*s - 76*j + n*s**2 - 13*n*s - 163*n - 2*s**2 - 93 with respect to j.\nAnswer: 25*n*s**2 + s**2 - 18*s - 76","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 8.95615 take away 2509?\nAnswer: -2500.04385","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Does 18 divide 7992?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 68646153 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: How many minutes are there between 9:06 PM and 1:52 AM?\nAnswer: 286","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (x + x + x)*(1 - 3 + 4)*((3 - 3 - 2*x)*(1 - 2 + 2) - 43*x + 183*x + 25*x + (-x - x + 0*x)*(1 + 2 - 2) - 2*x + 2 - 2).\nAnswer: 954*x**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 533 and 943.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2\/7 in 3724, 0.9, -4, 1?\nAnswer: 0.9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1\/5 in 3\/7, -6\/229, -1\/2?\nAnswer: -6\/229","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 n and 1 d when three letters picked without replacement from {x: 8, d: 1, n: 4}.\nAnswer: 3\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 34 and 858232709?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -147.3 times -0.1?\nAnswer: 14.73","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 228 = 34*i - 25*i + 39*i - 1068 for i.\nAnswer: 27","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) be the first derivative of -f**7\/525 + 13*f**6\/300 - f**2\/2 + 65*f + 32. Let w(c) be the second derivative of y(c). Determine j so that w(j) = 0.\nAnswer: 0, 13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (2 - 2 - 1)*(3*y**4 + 2*y**4 - 11*y**4) - 1207*y**4 + 2708*y**4 - 1302*y**4 in the form j*y**3 + r + z*y**2 + f*y**4 + d*y and give f.\nAnswer: 205","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -69*c**2 - 36*c + 7*c - 110*c + 1 wrt c?\nAnswer: -138","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 119024088?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) = -4*n - 4. Let z = 178 - 175. Suppose -z*c = 4*k - 3 + 5, k = -c. Calculate j(k).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3790.65816 rounded to the nearest one thousand?\nAnswer: 4000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 234344814 or 937379261\/4?\nAnswer: 937379261\/4","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 60\/(-10)*24\/252*(-165)\/(-20)?\nAnswer: -33\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2*y + 2, 5*t + 221*y = 226*y for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (15\/(-10))\/(6\/56). Let o = a - -10. Let q(p) = -9*p**3 + 4*p - 7. Is q(o) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (4050\/22680)\/(4*(-1)\/(-56))*(-56)\/5.\nAnswer: -28","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -89\/18032500 and -27\/220.\nAnswer: 198357500","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) = 3*c + 2. Let k(l) = 2*l + 2. Let x(i) = 5*k(i) - 4*q(i). What is the remainder when 10 is divided by x(-2)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: -9060 + -3\nAnswer: -9063","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0*g - 3*g + 4*g)*(-1 - 12 + 0) - 2*g - 2 + 2*g - 3*g to w + k*g and give k.\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 9*k**3 + 0*k**3 - 3*k**3.\nAnswer: 6*k**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -2418*-9\nAnswer: 21762","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 300 + -18. Let l = 298 - f. What is the remainder when 90 is divided by l?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -47 = -4*i + 5*m, -i + 4*m + 3 = m. Let j = 19 - i. Let d be -1*(j*-6 - -3). Solve -2*w + d = -3 for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.1 in -2, -1, -2\/7, 811, 2\/5?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 210*m = 2*t + 215*m - 9, -5*t = m + 12 for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2103*i**2 + 712*i**2 - 3605*i**3 + 711*i**2 - 2*i + 680*i**2.\nAnswer: -3605*i**3 - 2*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 12259 and 2927831.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 38*r = 421*r + 6894 for r.\nAnswer: -18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) = -o**3 - 6*o**2 + 5*o + 10. Let u be t(-7). Let c be u\/(-3)*(-4)\/16*277. Let r = c + -319. What is the greatest common factor of 47 and r?\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 891 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 47\/176 and 63\/4.\nAnswer: 176","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Factor -q**3 + 467*q**2 + 2854*q - 7568.\nAnswer: -(q - 473)*(q - 2)*(q + 8)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 808.3701nm in centimeters?\nAnswer: 0.00008083701","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 115 and 4.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -90*d + 237*d - 889056 = 0. Does 9 divide d?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -20.8 + 18. Let v = 3 + w. Let l = 4.4 - 4. What is the second smallest value in -1\/8, l, v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 129136?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 24*25769.\nAnswer: 618456","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:30 AM and 1:45 PM?\nAnswer: 255","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 11\/2 of a gram?\nAnswer: 5500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*r = 2*u, 0 = 77*r - 72*r - 5*u. Let i(w) be the third derivative of 0*w + r + 1\/60*w**5 - 2\/3*w**3 + 20*w**2 + 1\/6*w**4. Give i(-4).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -35*p + 648*p + 316*p as r*p + u and give r.\nAnswer: 929","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 60bad - -4?\nAnswer: 60bb2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 15\/3632857 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -75*r + 206*r - 83*r = -384 for r.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) = 17*o. Let t(k) be the first derivative of -2 + 4*k**2 + 10 - 5*k**2 + 0*k**2. What is t(a(m))?\nAnswer: -34*m","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -67 (base 13) to base 9\nAnswer: -104","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 232280989791 take away -4.9?\nAnswer: 232280989795.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.4 in 3, -4, 0.2, -3, 0.5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*d - 4*p + 60 = 0, -2*d - 5*p + 55 = d. Calculate the smallest common multiple of d and 76.\nAnswer: 380","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 78675.63 + -78283. Let y = k - 401. What is y rounded to zero decimal places?\nAnswer: -8","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -m + 5 = 0, 3*h + 7*m = 4*m + 99. What is the remainder when h is divided by 19?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 32\/5 of a centimeter?\nAnswer: 64000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -98 + 541. Suppose 447*a = i*a + 16. Solve -5*x - 12 = -3*r, 3*r + a*x = 5*x + 12 for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -3.7 - 1.3. Let d = -4.9999925 - y. What is d rounded to 6 decimal places?\nAnswer: 0.000008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -33\/2 - -17. Let w = 1\/10 + d. Let t be 6\/(-8)*128\/336. Which is the biggest value? (a) w (b) t (c) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -26\/57 and 86\/6669?\nAnswer: 6669","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -1\/7, 6, 9\/2, -1, -3?\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0002444 rounded to 5 dps?\nAnswer: 0.00024","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 103? (a) 0.5 (b) -3\/5 (c) -79\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2070 = 19*m - 6*m - 1836 for m.\nAnswer: -18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) = -6*x - 1. Let b(d) be the second derivative of d**4\/12 - 17*d**2\/2 - 3*d - 123. Calculate t(b(n)).\nAnswer: -6*n**2 + 101","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 18\/(-24)*14*20\/(-7). Calculate the highest common divisor of a and 6.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) = 525*c**4 + 4*c**3 + 2*c**2 + 499*c + 2. Let r(b) = 2*b**4 + 2*b**3 + b**2 + 1. Let m(l) = d(l) - 2*r(l). Find the second derivative of m(s) wrt s.\nAnswer: 6252*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*z**2\/9 + 4076*z\/9 + 2076722\/9.\nAnswer: 2*(z + 1019)**2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*j + 2*j = -3*h + 136, -2*j + 43 = h. What is the units digit of h?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 260 divide 31243691?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) = 3*z**2 - 3*z. Suppose -5*a = -10, -q = -4*a - a + 7. What is the smallest common multiple of 10 and y(q)?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.4, 5706\/137, 0.05, 5 in increasing order.\nAnswer: 0.05, 0.4, 5, 5706\/137","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 131 + 200020000?\nAnswer: 200020131","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 3\/(-15) + (-1)\/(-5). Let w be -6 + (1 - 2 - o). Let p(m) = -2*m - 8. What is the units digit of p(w)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 764, 1415, 2072, 2741, 3428, 4139, 4880, 5657?\n\"Answer: n**3 - 3*n**2 + 653*n + 113","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 4\/((-1008)\/15)*(-6)\/25*(-605)\/(-363)\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: (-23)\/((-69)\/(-24))*2\/4\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) = k**2 + 4*k + 5. Suppose 0 = g + 5*w - 6*w - 8, 0 = -g + 5*w - 12. What is the remainder when g is divided by r(-4)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1884 in 3, 0, -16?\nAnswer: -16","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) = 2*d**2 + 55*d + 81. Let c be o(-26). Let t(y) = -y**2 + 16*y + 16. Let q be t(16). Let b = q - 14. Solve 5*a = c*i + 4 + 1, 4*a - b*i - 6 = 0 for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) = -69*l + 18. Let y(p) = 1. Determine -5*h(g) + 90*y(g).\nAnswer: 345*g","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7335*g**3 + 4573*g**3 + 2760*g**3.\nAnswer: -2*g**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 + 0 = 2*h. Let b(v) = 0*v - 3*v**h + 5*v - 4*v - 1. What is b(1)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in 6\/5 of a millennium?\nAnswer: 120","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence qn when two letters picked without replacement from iqnniiqqqnnqfnqnq?\nAnswer: 21\/136","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from jiiilap. Give prob of picking 1 i, 1 a, and 1 l.\nAnswer: 3\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) be the third derivative of 0*b**6 + 1\/24*b**4 + 0 + 1\/112*b**8 + 0*b**7 + 0*b**3 + b**2 + 0*b + 0*b**5. Find the second derivative of f(y) wrt y.\nAnswer: 60*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-549)\/(-63) + (-2)\/(-7). Is (-638)\/(-4) + h\/6 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-150)\/(-1)*(-42)\/(-126). Sort 1, q, 0.27, 2 in ascending order.\nAnswer: 0.27, 1, 2, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -263.6 to the nearest 10.\nAnswer: -260","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Round -134050000 to the nearest one million.\nAnswer: -134000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 < -1\/3292164?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.4300838 - 0.2?\nAnswer: -0.6300838","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5445.\nAnswer: 3, 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.398 - 339584.29083?\nAnswer: -339582.89283","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-14 - -11)*360\/(-80)*6.\nAnswer: 81","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*x - 9*x + 4*x.\nAnswer: -2*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*n + 0*n + 56 = 0. Suppose n = -3*o - 7. Suppose -5*u = 5*p - 15, 21*p + 21 = -5*u + 25*p. Sort 2, o, u in descending order.\nAnswer: 2, u, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -1014, -1008, -1000, -990, -978?\n\"Answer: d**2 + 3*d - 1018","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -28, -42, -56, -70, -84?\nAnswer: -98","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 7571.\nAnswer: 67, 113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Convert 5000.507 grams to tonnes.\nAnswer: 0.005000507","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2778.535um to kilometers.\nAnswer: 0.000002778535","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ayy when three letters picked without replacement from {a: 6, r: 4, y: 4}?\nAnswer: 3\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*y = -5*h - y + 51, 3*h - 48 = -4*y. Solve -5*z = -t + h, z + 2 = -4*z - 4*t for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 476 divided by 4\nAnswer: 119","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from cdkdjydcdyy. What is prob of picking 1 j, 1 k, and 1 y?\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) -83 (b) 2 (c) -14 (d) 0 (e) 6\/17\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*k - 5*j = 114, 0*k + 3*k = 5*j + 88. Let i = k - 13. List the prime factors of i.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) = 2*t - 3. Suppose i - 6 = -0*i. Let w be c(i). Suppose 33 = b + w. Is b a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 26841 and 15171.\nAnswer: 1167","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3 + 1*sqrt(11) + 1)**2 + 1 + -2*(sqrt(1100) + sqrt(1100) + 1) + -1 + -3.\nAnswer: -32*sqrt(11) + 22","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) = -b**3 + 32*b**2 - 25*b + 3. What is the hundreds digit of d(15)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1079299?\nAnswer: 13, 83023","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -432 in -0.1, 4, 141, 2\/11?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 9.8038 millennia?\nAnswer: 117645.6","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 171 minutes after 1:33 AM?\nAnswer: 4:24 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*p = -p - 24. Let i be (-3)\/p*1 - (-4)\/16. Find the second derivative of i*q**2 + 3*q**2 + 9*q - 7*q wrt q.\nAnswer: 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 7\/(-49)*-7*6\/2?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 7698 (base 14) to base 3\nAnswer: 1001010221","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -188 = 12*s - 1508. What is the highest common divisor of s and 66?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) = -u**3 - 7*u**2 + 8*u + 6. Let l = -6 + -2. Determine b(l).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 410451311 + -113?\nAnswer: 410451154","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 5184397\/(-57)*2\/(-4)*6 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:33 PM and 9:32 AM?\nAnswer: 599","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) = 2*d**3 + 136*d**2 + 2182*d + 12. Give w(-42).\nAnswer: 96","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Add 8 and 28364.62.\nAnswer: 28372.62","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-3 - 10\/(-4))*4. Let n = 4 + d. Let v(u) = 2*u + 3*u**2 - 2*u - 6*u**n. Let l(i) = i**2. What is v(l(k))?\nAnswer: -3*k**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 158555811 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -7*p + 2*p + 25. Suppose -p + 20 = 3*d - 2*n, -9 = -d + 2*n. Solve 0 = -2*v + 6*v, -d*v = 4*f - 12 for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {t: 2, o: 6, h: 10, e: 1, y: 1}. Give prob of picking 1 y and 1 o.\nAnswer: 3\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -53867 - 3?\nAnswer: -53871","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*f**2 + 16*f**3 + 2 - f**2 - 55*f**3 + 13*f**3 - f**3 in the form o*f**2 + d*f**3 + m + u*f and give o.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 44 - 16. What is the tens digit of 39\/26*g\/3?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) = -2*x**3 - 12*x**2 - 4*x - 24. Calculate p(-6).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in fourty-three quarters of a milligram?\nAnswer: 10750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -3.5 + 3. Let y = -854 - -852. What is the nearest to -0.1 in y, f, 2?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) be the second derivative of 4*f - 1\/3*f**3 + 0 - 1\/3*f**4 + 0*f**2. What is the second derivative of g(v) wrt v?\nAnswer: -8","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 23 a factor of 793951?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 40437821 to the nearest integer?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) = -s**2 - s + 1. Let g(z) = 14*z**2 + 4*z - 5. What is g(r) + 4*l(r)?\nAnswer: 10*r**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -8*k**3 - 5*k**2 - 10*k**2 + 3*k**3 + 2*k**2 wrt k.\nAnswer: -30","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -48232 - -5.\nAnswer: -48227","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -1 (b) 0.172 (c) -0.05\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) be the first derivative of 0*s**5 - 3\/2*s**2 + 0*s - 3*s**6 - 8 + 0*s**3 + 0*s**4. What is the second derivative of o(n) wrt n?\nAnswer: -360*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 8 - 5 - r + r**3 - 5 to y*r**3 + w*r + z + u*r**2 and give w.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(84) + sqrt(84)*-1*3)\/(-1*sqrt(972) - sqrt(972)).\nAnswer: sqrt(7)\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 2\/5, 1\/2, -12, -2\/15?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) = 3*p**3 - 2*p**2 + 3*p - 2. Let a be h(2). Let f be (0 - a\/5)\/(-2). Factor 11*k - 5*k + 5*k**2 - 3*k**3 - 2*k**f.\nAnswer: -3*k*(k - 2)*(k + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) = 19*l**2 + 56*l - 117. Determine a(2).\nAnswer: 71","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 10 - 9. Does 21 divide s - -2 - 6916\/(-38)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) = -55*z. Let n(p) = -p**3 + p**2 + 4*p + 1. Let s be n(-2). Let v(c) = c + s*c - 7*c. What is j(v(a))?\nAnswer: 55*a","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 19*n + 0 = -33 - 62. Which is the biggest value? (a) -1\/6 (b) n (c) -0.5 (d) 5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -117*s - 171 + 54 for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 4.528319453127 from -3.\nAnswer: -7.528319453127","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Determine r, given that 2*r - 49\/8*r**4 - 143\/8*r**2 + 3\/2 - 49\/2*r**3 = 0.\nAnswer: -3, -1, -2\/7, 2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -98*y - 4300 = 2398 - 2386 for y.\nAnswer: -44","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*k - 5 = -q - 28, -4*k - 3*q = -11. Solve 53 - k = 12*y for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1618 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/8 of a millennium in years?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.2 in 244, -1613, 1, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*r**3 + 14684*r**2 - 294312*r + 1236816 = 0. What is r?\nAnswer: -7362, 6, 14","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*z + 4*i - 3*i = 8, 17 = 5*z + i for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*h**2 - 2142*h + 37584.\nAnswer: 3*(h - 696)*(h - 18)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) = -48*p**3 + 2*p**2 - 1. Let q(f) be the second derivative of -f**5\/10 + f**2\/2 + f. Let x be q(1). Is j(x) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 300851 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*o = -5*p, 3*o - 3*p = 2*o. Let n be ((-6)\/(-26))\/(o\/(-3) - -1). What is the smallest value in 1\/2, -3, -2, n?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-2 + 3)*3 + -3. Let j(y) = -7*y + 94. Let l be j(11). Suppose -9*w + l + 1 = 0. Solve w*p - 7*p - 25 = z for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) be the second derivative of 33*u**6 + 458*u**3\/3 - 265*u. What is the second derivative of p(o) wrt o?\nAnswer: 11880*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) be the second derivative of -n**6\/15 + n**5\/4 + 11*n**3\/6 + n + 24. Find the second derivative of z(f) wrt f.\nAnswer: -24*f**2 + 30*f","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 4\/6*(3 - 9*(-2)\/(-2))?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 70.76467332+5\nAnswer: 75.76467332","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 346 is divided by 172?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) = 60*g + 20. Let i be w(1). Let v be 52*1 + (7 - 11). Calculate the highest common factor of i and v.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 57031640 a multiple of 64?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -2.3 + -0.29005\nAnswer: -2.59005","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 2459695?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-1)\/2 + (-5)\/(-2). Suppose -2*l = 6, 2*f + 6*l = b*l - 4. Let r(i) = 4*i - 4. Let m = 10 - 19. Let k(s) = 2*s - 2. What is f*r(w) + m*k(w)?\nAnswer: -2*w + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/228 in 4, 1, -1615, -4\/3?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) = -1053*z - 41773. Calculate a(-40).\nAnswer: 347","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*a - 9*a + 12 = 0. Suppose w = -3*y + 22 + 28, -3*y - a*w + 52 = 0. Let r be 2\/(-8) - (-100)\/y. Let z(c) = 2*c - 1. Determine z(r).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) = -2*c**2 - 4*c + 4. Let a(r) = r**2 + 3*r - 4. Give 4*a(k) + 3*z(k).\nAnswer: -2*k**2 - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) = 19*q. Let b(o) = -405*o. Calculate g(b(w)).\nAnswer: -7695*w","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:57 PM and 3:24 AM?\nAnswer: 207","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify c*c*c\/(c\/(c**(-3\/2)*c))*c*c\/(c**(2\/9)\/c)*c*c\/(c*c\/c**(2\/5))*c*c**13 assuming c is positive.\nAnswer: c**(1681\/90)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand -x**5 + x**5 - x**5 + (-4*x**2 + 2*x**2 + x**2)*(11 - 30*x**3 - 11) - 2*x**5 + 4*x**5 - x**5.\nAnswer: 30*x**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -o = -2, 0 = 11*h - 9*h - o - 30. Suppose -v - 2*g + 30 = 0, 0 = 2*v - 2*g - 2*g - 100. What is the greatest common factor of h and v?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, 5, 1\/1231, 2\/9, 2\/99 in descending order.\nAnswer: 5, 2\/9, 2\/99, 1\/1231, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 7215127263 to the power of 1\/2, to the nearest integer?\nAnswer: 84942","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -7*k**2 - 11*k**3 + 4*k**2 + k**3 wrt k.\nAnswer: -60","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: (5\/14)\/((2160\/63)\/24)\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d be ((-5)\/(-3))\/(1215\/2916). Let j(p) be the first derivative of -1\/12*p**d + 8\/3*p**2 + 6 + 20\/3*p + 1\/9*p**3. Factor j(s).\nAnswer: -(s - 5)*(s + 2)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4 + 7 + -3 - 3 - -8.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -2, 0.179, 12352?\nAnswer: 12352","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Put 168, 1, -32, -29 in descending order.\nAnswer: 168, 1, -29, -32","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 6021 - 4220. Is g a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*w = -3*w + 600. Suppose 3*f + w = -f. Let x be f\/42 - 2\/(-2). Which is smaller: x or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*y**5 + 20*y**4 + 42*y**3 - 136*y**2 - 544*y - 384 = 0 for y.\nAnswer: -4, -1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Divide -5266 by 417.\nAnswer: -5266\/417","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -48 = 133*h - 149*h. Let c(p) be the third derivative of 0*p + 13*p**2 + 1\/24*p**4 - 5\/6*p**h + 0. Calculate c(3).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: (6\/32)\/(-9*4\/16)\nAnswer: -1\/12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (9898\/(-606))\/((-7)\/6).\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-16)\/(-5)*(-940)\/376?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 100 (base 2) to base 3\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 159067 and 10001?\nAnswer: 73","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence gm when two letters picked without replacement from mgg?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -4\/3 in 9\/7, -8\/5, -0.5, -0.06, 2?\nAnswer: -8\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Express 0 - 93*d**2 + 177*d**2 - 1 - 93*d**2 in the form l*d**2 + r + y*d and give r.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((o**(1\/57)*o)\/o)\/o)**(2\/43)\/((o*o**(2\/131))\/o**(5\/4)) assuming o is positive.\nAnswer: o**(242785\/1284324)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Product of 4 and 1.4397.\nAnswer: 5.7588","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -509598, -2038465, -4586576, -8153931, -12740530?\n\"Answer: -509622*b**2 - b + 25","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n**(1\/45)\/(n*n*n\/n**13))\/((n**27\/n)\/n**(-2\/71)))**48 assuming n is positive.\nAnswer: n**(-818224\/1065)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 24570173*g**4 + 18046226*g wrt g.\nAnswer: 294842076*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) be the third derivative of -z**6\/120 - z**5\/60 + z**3\/6 + 42*z**2. Let i be b(-2). Suppose 106*f + i = 111*f. What is f rounded to 1 dp?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (3\/(-2))\/(36\/(-329880)) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1 - 2 - 2*j + 1 - 1.\nAnswer: -2*j - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 143\/108 and -137\/132.\nAnswer: 1188","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8 = -5*w + 3*w + 2*j, 5*j = 0. What is the third derivative of 22*x**4 - 30 + 7*x**w + 30 + 26*x**2 wrt x?\nAnswer: 696*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -1 - -6. Let w = -3 + p. Let y = 4 - w. Is 2 a factor of y?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 0 - -2*(-19)\/(-14) and 34\/3?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 11\/9642 and 39\/23.\nAnswer: 221766","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16*x - 24 = 13*x + 4*h, x - 2*h = 10. Let m = 519 + 18. Suppose 3*t = -x*k + 538, -k - 2*k = 3*t - m. What is t rounded to the nearest one hundred?\nAnswer: 200","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 7\/4 of a centimeter?\nAnswer: 17500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 354*n**4 + 30*n**3 + n**2 + 272824*n + 7 wrt n.\nAnswer: 4248*n**2 + 180*n + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*h + 55 = l - 38, -5*l = 5*h - 480. What is the remainder when l is divided by 24?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*y = 15*y - 10. Solve 3*z - 3*i = 27, 2*z = 4*z + 3*i + y for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 7\/(18 - 39) + 14\/6\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 9\/(((-8658)\/(-650))\/37)?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -49\/108 and -113\/6.\nAnswer: 108","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Divide -770440 by 328.\nAnswer: -96305\/41","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -9 - -11. Suppose -v*s = 2*s - 16. Suppose p - s = -3*p, o - 23 = -p. Solve o - 6 = 4*m for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence zz when two letters picked without replacement from zzpzp?\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 1694.367284405925+-1\nAnswer: 1693.367284405925","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2\/9, 1, -0.08 in descending order.\nAnswer: 1, 2\/9, -0.08","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Express (-3 - 1 + 5)*(-r**2 + 2 - 2) + (3*r + 2 - 2)*(-1 + 1 - r)*(256 + 552 - 170) as o + i*r**2 + c*r and give i.\nAnswer: -1915","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -9579\/5 - -19143\/10. Sort d, 2, -495 in ascending order.\nAnswer: -495, d, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6686817228 a multiple of 26?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 29128*o - 28994*o = -6968 for o.\nAnswer: -52","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -1866*v**2 - 5096*v**2 + 69 - 7 - 9 - 28*v - 1848*v**2 wrt v.\nAnswer: -17620","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*y + 3*y + y)*(-2*y**2 + 2*y**2 - 2*y**2) + (-4*y - 16*y + 0*y)*(2*y**2 + y**2 - 4*y**2) + y**3 - 3*y**3 + 8*y**3.\nAnswer: 24*y**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -395 + 395. Which is the biggest value? (a) i (b) 7\/3 (c) -2 (d) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*z - 2033 - 1381. Let s = -18765\/11 + z. Which is greater: s or 0.2?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) = i**3 + 5*i**2 - 6*i - 2. Let u be k(-6). Let f(c) = -c**3 - 5*c**2 + 5*c + 65. Calculate the remainder when f(-6) is divided by -2 + 2 + 35 - u.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 19.2 - 3.2. Let l = -14 + g. Which is the second biggest value? (a) 0.4 (b) 0.3 (c) l\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 5, 44926535 in decreasing order.\nAnswer: 44926535, 5, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1500 by -3.\nAnswer: -500","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.1? (a) 5 (b) 0 (c) 4 (d) -2\/121\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 g, 2 j, and 1 k when four letters picked without replacement from wkjwgwwjk.\nAnswer: 1\/63","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange ((-122*n + 2982 - 2982)*(1 + 1 - 1) - n + 4*n - 2*n)*(-10 - 11 + 21 - 35*n**2) to the form p + h*n + r*n**2 + w*n**3 and give w.\nAnswer: 4235","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -64.95 rounded to the nearest 100?\nAnswer: -100","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) = 4538*l**3 + 2*l**2 - 5*l + 3. Let d be v(1). Suppose -7*x - 1972 = d. Round x to the nearest one thousand.\nAnswer: -1000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 10.3*-0.08.\nAnswer: -0.824","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) = -a**2. Let i(l) = 3*l + 26. Let g(x) = 2*x. Let c(y) = 2*g(y) - i(y). Calculate v(c(f)).\nAnswer: -f**2 + 52*f - 676","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -379590 divided by 189795\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 4853 > 2834?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -5399000 rounded to the nearest one million?\nAnswer: -5000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Convert 97.88645l to millilitres.\nAnswer: 97886.45","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) = 121*g**3 + 3389*g**2 + 30*g + 43. Determine i(-28).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 5 a factor of 2794605282?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) = 9*a - 33. What is the tens digit of g(5)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 53401, 53587, 53773?\n\"Answer: 186*g + 53215","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 15412820287 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*l - 3*l + 4635. Let w = -6131\/4 + l. What is the common denominator of -50\/11 and w?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 20.47+0.0199\nAnswer: 20.4899","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) = -p**2 + 15*p - 40. Let r be b(11). Suppose r*w + 6*w - 9250 = 0. Is w a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) = -a**2 - 9*a + 35. What is g(-12)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -7177997738\/21113 + 339980. Is -1 at least as big as l?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {n: 3, s: 7}. What is prob of picking 3 n?\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 11442587 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 37334915*m**4 - 1566779*m + 2.\nAnswer: 448018980*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) = -23*t**3 + t**2 + t + 1. Suppose s = 2*s + 3. Let y be 3\/9*9\/s. List the prime factors of r(y).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 26860813 and 133?\nAnswer: 133","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 h and 1 d when two letters picked without replacement from dhhheeeeheeehhhehhee.\nAnswer: 9\/190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) = -36*t + 357. Let w be d(10). What is the third smallest value in -4, w, -0.05?\nAnswer: -0.05","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) = 5*h + 33. Calculate l(-8).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 1\/((2 + (-4)\/4)*1). Let s(v) = 10*v - 6. Let x(g) = -g + 1. Give a*s(j) + 5*x(j).\nAnswer: 5*j - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 244*x - 28*x - 19099368. Is x a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) = -2*l + 50. Let q be r(-19). Suppose -132 = -11*i + q. Calculate the least common multiple of (-1264)\/(-10) + (-2)\/5 and i.\nAnswer: 1260","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 25*l**3 + 3*l**2 + 15.\nAnswer: 150","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) be the second derivative of z**5\/20 - 5*z**4\/6 + 5*z**3\/3 - 2*z**2 + 7*z. Let d be g(9). Calculate the highest common factor of 15 and d.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 35570 is divided by 42?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Work out -1029 * -0.1.\nAnswer: 102.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 + 5 = -2*b. Let m = 4 - 2. Let j(i) = 0*i**m - 1 + 9*i**3 - i + i**2 - 2*i**2. What is j(b)?\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3295 to the power of 1\/3, to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -43.64 + 512.89. Let o = j - 299.32. Let z = 168 - o. What is z rounded to 1 dp?\nAnswer: -1.9","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 0.01, -87, -2?\nAnswer: 0.01","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*j + 9 - 2 = -p, -2*p = -3*j - 7 for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((u\/u**(-1\/22))\/u**(8\/5))**(-1\/19))**(-30\/11))**(-15) assuming u is positive.\nAnswer: u**(2745\/2299)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 10 and 136.\nAnswer: 680","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) = i**3 + 50*i**2 - 106*i - 83. Calculate b(-52).\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -61 - 619. Calculate the common denominator of 53\/44 + (-1)\/4 and 14\/g + 1 + (-6)\/5.\nAnswer: 748","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6\/320*10*4.\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -13123021130 (base 4) to base 13\nAnswer: -531b00","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 7.623846 seconds in milliseconds?\nAnswer: 7623.846","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 y and 1 b when two letters picked without replacement from {a: 1, b: 1, y: 1}.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*k + 2*g = g + 5, g = 3. Suppose -242 = -2*b + 5*r, 48 = -3*b + 3*r + 429. Let x = 657\/5 - b. Is k > x?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*n = -5*y - 17 + 1, -5*n = -5*y - 40. Let u(t) = -t - 5*t + n*t. Let q(p) = 0 - 2*p**2 + 0. Calculate q(u(l)).\nAnswer: -18*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -14242.4 less than 0.5?\nAnswer: 14242.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (t**2 + 4868 - 4752 + 0*t**2)*((-5 + 3 + 3)*(-1 + 4 - 2) - 2 - 1 - 14).\nAnswer: -16*t**2 - 1856","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 72336?\nAnswer: 2, 3, 11, 137","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 89 + -73. Suppose -f = -3*t - t, 24 = 2*p - 5*t. What is the units digit of p?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12*w = 19*w + 14 for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -0.1 - -0.1. Which is the smallest value? (a) j (b) 0.1 (c) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -3c04 + 13a0d?\nAnswer: dc09","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) = 95*o**3 - 4*o**2 + 3*o + 29. Is f(5) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) = 11*m. Let l(t) = -3*t**2 + 2*t + 6. Let d be l(-3). Let v = d + 29. Let h(q) = -6*q**2 + 5*q**v + 2*q**2. What is b(h(p))?\nAnswer: 11*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 15 plus 25655?\nAnswer: 25670","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 82218 and 174234?\nAnswer: 426","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -1\/84 and -93\/196?\nAnswer: 588","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*f + 70 = 2*y - 62, 3*f = 3*y + 81. Suppose 5*c = -25, -2*c + 14 + f = 5*b. What are the prime factors of b?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 914\/4847 or 1?\nAnswer: 914\/4847","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -1568 + 1581. Let n = -0.6 - -1.6. Which is the closest to 1? (a) x (b) n (c) 2\/9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (8*(-5)\/(-160))\/1.\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express 1 - 103*q**3 - 22*q**2 - 3 + 108*q**3 in the form y + o*q + j*q**2 + a*q**3 and give y.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 274\/(-10)*53935\/126. Let s = j + 11733. What is the common denominator of s and -51\/7?\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.3 in -2, 3\/5, 25?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 54 + -50. Does 12 divide s\/34 - (-2442)\/51?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0*u**2 + 0*u**2 - 2*u**2 + (-3 + 20 + 7)*(-4*u + 0*u + 2*u)*(-2530 + 2530 + 304*u) to the form m*u**2 + v*u + h and give m.\nAnswer: -14594","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*i - 5*d = 8, -15*d + 13*d = i + 5 for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 99 + -56. Calculate the remainder when 3\/6 - g\/(-2) is divided by (18 + -2)\/(-3 - -5).\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2029 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 29 a factor of 13256?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -41*a**5 + 22*a**4 - 984*a**3 - 19386446*a**2 wrt a.\nAnswer: -2460*a**2 + 528*a - 5904","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is -0.03 less than 752204?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*w + 0 = -6 for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) = 6*b**2 - 4*b. Let z(r) = -3*r**2 + 2*r. What is 3*y(g) + 5*z(g)?\nAnswer: 3*g**2 - 2*g","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/5 in 3\/7, 1, 2.1, 0?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*n - 2*v - 230656, 1145*v = -n + 1149*v + 57671. What are the prime factors of n?\nAnswer: 3, 43, 149","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are -1 and 1897\/119073 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 10 (base 9) to base 6\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: -1 (base 4) to base 15\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 139, 141, 123, 85?\n\"Answer: -10*k**2 + 32*k + 117","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: (9 - (16 - -7)) + 7\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) be the second derivative of n**5\/20 + 2*n**4\/3 - n**3\/6 - 5*n**2 - 10*n. Suppose -6*v + v = -155. Suppose -3*j = -7 + v. Calculate i(j).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -83\/630 and -97\/2660?\nAnswer: 23940","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -70 = -5*b - s - s, 4*s - 28 = -3*b. What is the lowest common multiple of 9 and b?\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) = 4*n + 1 - 5*n - n**2 + 0. Suppose 0 - 4 = -2*t + 4*g, 0 = -5*t + 2*g - 14. Let o be (((-126)\/4)\/(-9) - 3)*t. Give l(o).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1571, -1582, -1597, -1616, -1639, -1666, -1697?\nAnswer: -1732","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 150971951 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) = u**2 + 5*u + 3. Let a be x(-5). Do -3 and a have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 32368, 32370, 32372, 32374, 32376?\nAnswer: 32378","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-21238)\/629)\/(-287)*(1\/2)\/(22\/(-4)).\nAnswer: -2\/187","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) = -8*u - 48. Give l(-6).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) = 12*u**2. Let j(p) be the third derivative of -p**4\/12 - p**2. Give j(r(f)).\nAnswer: -24*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 1372 + -471. Let j = 1899 - f. What is the tens digit of j?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) be the first derivative of -217*n**4\/4 - 16*n**3\/3 - 9*n**2\/2 + 10*n - 12. Let q be a(-11). Suppose j - q = -0*j. Round j to the nearest ten thousand.\nAnswer: 290000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find p, given that -3*p**3\/4 - 339*p**2 + 8535*p - 15708 = 0.\nAnswer: -476, 2, 22","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 45030 a multiple of 114?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 50 - 96 = -159*n - 46 for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 7608045469 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -829 - -1253. List the prime factors of f.\nAnswer: 2, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) = 9 + 166*w + 193*w - 382*w. Let y(g) = g. Give y(c(l)).\nAnswer: -23*l + 9","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 19268497?\nAnswer: 17, 61, 1093","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*j + 32 = 2*j - m, -3*m - 21 = -j. Suppose -g - 15 = -4*g. Suppose -g*k + 20 = -4*v, 0*v + 4 = k - 2*v. Calculate the remainder when j is divided by k.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 16 by -2321.\nAnswer: -16\/2321","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 5705?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -q + 376 = 4*w - 15, -5*w = -15. Is q a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) = -446*t**3 - 66*t**2 + t + 10. Let v(s) = -669*s**3 - 98*s**2 + s + 14. Let b(p) = -5*v(p) + 7*z(p). What is the third derivative of b(u) wrt u?\nAnswer: 1338","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -217783973 plus -237?\nAnswer: -217784210","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 92 + -3 + 1 + -1. Let a = v + 33. Suppose a = n + 23. Is n a multiple of 33?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) = -z**2 - 3*z. Let v be u(-2). What is the second derivative of -2*h + 3*h**2 - 4*h**2 + h**2 - h**v wrt h?\nAnswer: -2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 1693094999?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2516157 is divided by 174.\nAnswer: 117","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -0.6 - -0.67. Which is the closest to -2\/3? (a) 0.1 (b) -0.1 (c) h\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -53661574 (base 8) to base 11.\nAnswer: -65408a5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 166816*f - 333630*f + 3*f**3 + 166814*f.\nAnswer: 3*f**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 26 and 2 + 2 - 7 - -9?\nAnswer: 78","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -2356 + 2354. Let m = -0.09 + 0.19. Which is the nearest to m? (a) w (b) -2\/45 (c) 0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0 + 0.2. Let o = j + -0.3. Which is the biggest value? (a) -2\/9 (b) -2 (c) o\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-48048)\/(-3640))\/((-12)\/(-70))?\nAnswer: 77","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 2210533159 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*k - m - 181 = 4*k, -m = -5. Let u be (-4)\/(-22) + k\/22. What is the greatest common divisor of 6 and u?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3773174 is divided by 1746.\nAnswer: 68","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let -52*y**4\/9 - 16742*y**3\/9 - 1747856*y**2\/9 - 58432750*y\/9 + 250000 = 0. What is y?\nAnswer: -125, -72, 1\/26","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1020512 (base 7) to base 13.\nAnswer: 43b0b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00005395 rounded to 4 decimal places?\nAnswer: -0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in -1, 1, 3\/5, -13\/79, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 707 minutes after 8:03 AM?\nAnswer: 7:50 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 572\/3146 + (-6130)\/40128 and -117\/1064?\nAnswer: 12768","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*c + 15 - 135 = -4*u, 3*c + 3*u - 174 = 0. Suppose 5*q + 2*z = z + 64, 5*z - c = -3*q. List the prime factors of q.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9*y + 10 = 1 for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-27)\/(1539\/(-1330)) + 14\/(-6).\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -l - 147 = 6*l. Let u = 26 + l. Which is the second biggest value? (a) -4 (b) u (c) 2 (d) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 25? (a) -1 (b) -11 (c) 12945\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 400972 and 158912?\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 28428114971 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -28643, -57269, -85895, -114521?\n\"Answer: -28626*w - 17","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 436571100 to the nearest integer?\nAnswer: 53","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 56928 and 683136?\nAnswer: 683136","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -33.3 - -49.2. Let o = 22.43 - z. Let u = o - 5.5. Round u to one dp.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be -3 + (-4)\/(-6)*21. Let a = 17 - i. Let m be 1\/a - (-411)\/18. Calculate the highest common factor of 184 and m.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1 + -3 + 19 + -10.\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Work out 13.65 * 162.3.\nAnswer: 2215.395","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-54)\/15)\/((-1626)\/14905).\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5496 a multiple of 21?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 355253317 to the nearest integer?\nAnswer: 708","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y*y*y**(-1\/3)*(y**(-2)*y)\/y)\/(y**(2\/5))**(-10\/3)*((y**(-1\/10)\/y)\/y**1)\/((y*y\/(y**1*y))\/y)**(-8\/3) assuming y is positive.\nAnswer: y**(-113\/30)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Round -71550 to the nearest 1000.\nAnswer: -72000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -24\/737 + -40103\/13266. Let s(l) = -12*l**2 + 170*l + 2. Let d be s(14). Calculate the common denominator of v and 242\/(-165)*d\/24.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*n + 25*n**3 + 889*n**3 - 4*n.\nAnswer: 914*n**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9 = 3*z - 171. Let l(b) = 14*b**2 - 191*b - 62. Let q be l(14). Calculate the greatest common divisor of q and z.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose p = 2*p. Let l be (-32)\/39 - (-12)\/18. Sort p, l, -2 in increasing order.\nAnswer: -2, l, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be -3 - ((-4)\/32 + 101\/(-24)). Which is the biggest value? (a) 4 (b) k (c) 20\/9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {l: 1, i: 2, k: 1, g: 1, s: 1, n: 1}. Give prob of picking 1 l and 1 i.\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 c when four letters picked without replacement from cccccccccc.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-63 - -51) + (-531)\/(-45))*5\/34?\nAnswer: -1\/34","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -16308, -132115, -446464, -1058631, -2067892, -3573523?\nAnswer: -5674800","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) be the second derivative of 1\/84*d**7 + 0*d**2 + 0 + 1\/24*d**4 - 3*d - 1\/60*d**6 - 1\/40*d**5 + 0*d**3. Suppose l(h) = 0. What is h?\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1381*t - 6*t**3 + 1381*t - 5*t**3.\nAnswer: -11*t**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0.8 + -0.1. Let n = 0.3 + x. What is the closest to n in -4, 2\/9, 2?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 287314 and 2522?\nAnswer: 194","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (((-143)\/11)\/117*5)\/(5\/(-24)).\nAnswer: 8\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 652.1 - 652. What is the third biggest value in 0.03, 4, b, 0.3?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from eofjdjiof. What is prob of sequence jijo?\nAnswer: 1\/756","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 748 and 2016744.\nAnswer: 68","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, 1, -69, 6, 0, -5 in decreasing order.\nAnswer: 6, 2, 1, 0, -5, -69","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -352 + 405 - ((-2 - (5 - 8)) + -2)?\nAnswer: 54","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, 3, -54 in decreasing order.\nAnswer: 3, -3, -54","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2340169 is divided by 38363.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*t + 54 = 66. Calculate the remainder when (-4)\/(-18) - 1695\/(-27) is divided by 22*9\/(-12)*t\/1.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -350 + 349 - (4 + 1 + 2).\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*y**2 + 1084044*y - 528878104.\nAnswer: 4*(y - 487)*(y + 271498)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -1\/26871 (b) 3 (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) = -8*z - 7. Let v(t) = -7*t - 6. Let h(d) = 6*q(d) - 7*v(d). Let b(a) = 3*a**2 - 7. Calculate h(b(o)).\nAnswer: 3*o**2 - 7","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -0.1 (b) -6 (c) -0.5 (d) 8 (e) -4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 142277 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*(sqrt(2420) - (sqrt(2420) + sqrt(2420)*2)))\/(sqrt(90)\/sqrt(81) + 2*(sqrt(10) + (-1*sqrt(10) - sqrt(10)))).\nAnswer: 198*sqrt(2)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from llvjljlvlvvvvjj. Give prob of picking 1 v and 1 j.\nAnswer: 8\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 545 - -bd5?\nAnswer: 133a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let r be ((-6)\/(-18))\/((-1)\/(-309)). Suppose -c + 46 = 2*a, -r - 49 = -3*c + a. What is the greatest common factor of 20 and c?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 123 minutes after 2:53 AM?\nAnswer: 4:56 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) = -3*q**3 + 3*q**2 + 8*q. Calculate h(4).\nAnswer: -112","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 x and 1 i when two letters picked without replacement from {i: 2, s: 1, x: 1}?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) = -20*v - 1. Let w be i(1). Let b be -2*(1 + w\/6). Solve 0 = -b*n - 6 - 4 for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find j, given that -242*j**5\/7 + 49962*j**4\/7 + 77642*j**3\/7 + 31182*j**2\/7 + 3744*j\/7 = 0.\nAnswer: -1, -3\/11, 0, 208","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 0.464 - 1.464. What is the biggest value in 0.4, k, -0.038, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -43 - (-2 + 9 - (24 + (14 - -5 - 50)))?\nAnswer: -57","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 1202958 to the power of 1\/5, to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 457584724.\nAnswer: 2, 23, 4973747","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*v = -5*v + 3*v. Suppose -k - 3*j + 1409 = -6*j, -2*k + 3*j + 2809 = v. Is k a multiple of 28?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -71 + 354\/5. Let w = 0.2 - -0.8. Sort -2\/11, w, o in ascending order.\nAnswer: o, -2\/11, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -53748 by 4.\nAnswer: -13437","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 275 and 4510.\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:55 PM and 8:18 AM?\nAnswer: 623","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) be the first derivative of -4*r**2 + 21*r + 5686. Calculate t(-8).\nAnswer: 85","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -14 - 5*q**2 + 28 - 13 - q**2 + 0*q**2 + 0*q**2 + (2*q - 4*q + 0*q)*(q + 2*q - q) to the form l*q**2 + k + s*q and give k.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 1464\/61 - (5 + 60) - (1 + 7)\nAnswer: -49","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 406 and 113151823?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) = -20*a. Let k(n) be the first derivative of n**6\/90 - 27*n**3 - 79. Let m(c) be the third derivative of k(c). What is i(m(x))?\nAnswer: -80*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 11.681 * -18.556\nAnswer: -216.752636","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence bhb when three letters picked without replacement from hlbblmblbffblbw?\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 5 + -17589?\nAnswer: -17584","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 180*11\/36432*(-6)\/(-5).\nAnswer: 3\/46","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 272 + -265. Let r(a) = 956*a**2 - 5*a - 9. Let s be r(m). Round s to the nearest one thousand.\nAnswer: 47000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 14405 and 215?\nAnswer: 215","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -1 - -367?\nAnswer: 366","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -1 + -5. Let z be (q\/(-8))\/(9\/60). Suppose z*r = -5*f + 215, -r + 44 = 4*f + 1. What is the tens digit of r?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -16, 3\/38, 0.4?\nAnswer: -16","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -0.08, -0.3, -0.4, 0, -2\/229?\nAnswer: -2\/229","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) = x**3 - 6*x**2 - x + 6. Let b be v(6). Let o(a) = -a**2 - 15. What is o(b)?\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -t - 3*n = 11, -28 = -2*t - 40*n + 44*n. Suppose 5*u = -2*m + 222 + 45, -t*m - 3*u = -527. Do m and -0.2 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) be the first derivative of -19*z**4 + 229*z**2\/2 + 3. Find the second derivative of i(b) wrt b.\nAnswer: -456*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-1 - 2\/1)\/1. Let b be (-2 - q)\/((-1)\/(-6)). Suppose 3*v - b = 2*v. Is v a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*s = -0*s + 4. Is 2 + 257 - (0 + s) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0.107 + 0.393. Let v = -13 - -6. Let a = -6.9 - v. What is the closest to a in -6\/5, -1, l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -231000 (base 4) to base 6.\nAnswer: -21200","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is -59460 != -59459?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 3, -23, -47, -69, -89?\n\"Answer: y**2 - 29*y + 31","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Round 1.52589 to the nearest integer.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 55 + -55.2. Which is bigger: -1\/2 or r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(200) - (sqrt(200) - (sqrt(200) + 1)*3))**2 + 2)*6 + -5*(((sqrt(2)*-2 - sqrt(2))*1)**2 - (sqrt(72)\/sqrt(4))**2) + 4.\nAnswer: 1080*sqrt(2) + 10870","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 2376 and 2810016?\nAnswer: 792","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) be the first derivative of 0*o**4 - 1 + 0*o**3 - 3\/2*o**6 - 5*o**2 + 0*o**5 + 0*o. What is the second derivative of c(x) wrt x?\nAnswer: -180*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) be the second derivative of 0*l**2 + 0*l**3 + 0*l**4 + l + 0 + 1\/30*l**5 - 1\/45*l**6. Factor q(u).\nAnswer: -2*u**3*(u - 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) = s**2 + 8*s + 10. Let j be y(-4). Let c(f) = -10*f**3 + f**2 + 4*f + 4. Let h be c(j). Is h\/72 - (-2)\/(-9) a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-15)\/3*((-81)\/(-99) + (-2)\/(-11))?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from obofotfoboto. Give prob of sequence oo.\nAnswer: 5\/22","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-9)\/(-20))\/(-11*27\/(-396))?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + sqrt(5) + -1 - (0 + sqrt(180)).\nAnswer: -5*sqrt(5) - 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*v - 5*o + 10, -6*v + 4*o - 8 = -10*v. Let f(k) = k**3 - 2*k**2 - 1 + k**2 - 3 - k. Give f(v).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be ((-3 + 3)\/(-1 - 1))\/3. Suppose -w + 30 + 1 = g. Solve 2*t + 6 + 14 = 4*b, -5*b + 4*t + w = 0 for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {b: 2, e: 2, o: 6, s: 3}. What is prob of picking 2 b?\nAnswer: 1\/78","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -293, -779, -1529, -2537, -3797, -5303, -7049, -9029?\nAnswer: -11237","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 17 - 9. Let n = p - -63. Is n a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -30 + 38. Calculate the remainder when 11 is divided by w.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 16, 13, 0, -23, -56, -99?\nAnswer: -152","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 320 divided by -589927.\nAnswer: -320\/589927","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.3 and 119707.\nAnswer: 35912.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -746\/49, -3\/8, 2\/43, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) = 25*n - 124. Determine s(5).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 443?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 71\/5 of a century?\nAnswer: 17040","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {k: 5, c: 1, f: 4, v: 5, a: 1}. Give prob of sequence ac.\nAnswer: 1\/240","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Round 19.8210789 to three dps.\nAnswer: 19.821","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -186 + 337. Is r - -1 - (-2 - -5) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*h + b - 22, 2*h = 5*h - 5*b - 5. Suppose 0 = -h*v + 27 - 7. Let c(d) = d + 2 + v*d - 3. Give c(-1).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -8890 by 5.\nAnswer: -1778","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) = -u**3 - 11*u**2 + 5. Let f(z) = -z**2 + z + 8. Let k be f(6). Let p = -33 - k. Calculate the remainder when 8 is divided by m(p).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) = 3230*m**3 + 6*m**2 + 14*m - 10. Let f(k) = -k + 17. Let v = -22 + 28. Let l be f(v). Let r be n(l). Round r to the nearest one million.\nAnswer: 4000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*m**4 + 0*m**2 + 0*m**2)*(-3 + 4 - 3 + (-3 + 3 + 1)*(31 + 1 - 10)).\nAnswer: 40*m**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -353*m**3 - 70*m**3 + 15*m**3.\nAnswer: -408*m**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 31780000 rounded to the nearest one million?\nAnswer: 32000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1440, -4030, -6598, -9132, -11620, -14050, -16410, -18688?\nAnswer: -20872","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2 + -1 - -5 - (31 - 28).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is one fifth of a meter in centimeters?\nAnswer: 20","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) = -27*i + 7 + 17*i + 13*i. Let j(m) = m**2 + 45*m - 423. Let t be j(8). Let w(l) = -1. What is t*r(k) + 3*w(k)?\nAnswer: 3*k + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 12130410 and 438?\nAnswer: 438","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -42.041274 - -0.041274. Let r = 78 - 467\/6. Put r, -4, c in decreasing order.\nAnswer: r, -4, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -227*b - 729 - 777 - 1059 = -295 for b.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 22349 greater than or equal to 22314?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -18, -68, -160, -300, -494, -748?\n\"Answer: -c**3 - 15*c**2 + 2*c - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 606220834?\nAnswer: 2, 41, 7392937","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 5, -527723, 0, -5 in increasing order.\nAnswer: -527723, -5, -3, 0, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b\/(b*b\/((b**(-3\/10)*b)\/b)))\/b**(-22))\/(b**19\/((((b*b**(-2\/39))\/b)\/b)\/b)) assuming b is positive.\nAnswer: b**(-137\/390)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 55 and 44?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -701015*h**2 - h + h - 30521425*h**2.\nAnswer: -31222440*h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) = -q**2 + 28*q + 11. What is u(29)?\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15*z = 12*z + 3*n + 1476, 2*n = -2*z + 976. What is the least common multiple of z and 392?\nAnswer: 1960","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 27535 + 52683. Let d = -121218 + b. Round d to the nearest 10000.\nAnswer: -40000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, 3, -23, 212, 1 in increasing order.\nAnswer: -23, 1, 3, 5, 212","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*w**2 - 37*w + 40*w - 3*w.\nAnswer: 4*w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) = -48*l - 64. Let j be g(-5). Let w = j + -1582\/9. Let z = -10 - -8. Put w, z, 4, -2\/5 in increasing order.\nAnswer: z, -2\/5, w, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (9773385\/(-165155) - -59) + 6\/29.\nAnswer: 2\/67","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c\/(c**1\/c)*((c*c**(5\/4))\/c)\/c)**(5\/3))**(-18) assuming c is positive.\nAnswer: c**(-75\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 2 - 4 - n + 7 - 1 wrt n.\nAnswer: -1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) = -n**2 + 15*n + 38. Let h be x(17). Suppose 149 = h*y + 3*g, 0*y + 50 = y + 5*g. Is y a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 4690, 4611, 4474, 4279?\n\"Answer: -29*s**2 + 8*s + 4711","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-140709)\/(-124) + (3\/(-4))\/1. Suppose z = 379*q - 372*q. What is the units digit of q?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) = 2*s**2 - 13*s + 27. What is the remainder when v(12) is divided by 54?\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 3, 0.2, -0.25, 0.1?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*t + 2*g = -26, 6*g = 2*t + 8*g - 4. Solve 2*l - 2 = -t for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7323395376 a multiple of 81?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 12 - 9*i - 12 - 17*i to j + u*i and give u.\nAnswer: -26","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) = 2*g**2 + g - 1. Let d(o) = 20*o - 41*o + 20*o. Let t(z) = -c(z) - 2*d(z). Calculate t(-1).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 y and 1 m when two letters picked without replacement from myggn.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 14\/97 - 292\/679. What is the fourth smallest value in -5, -4, -12.1, 2\/7, f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 11\/2 of a centimeter?\nAnswer: 55","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 2\/7 - 290\/(-14). Suppose 0 = 2*u - 4*w + 82, 4*u + 4*w + 245 = 57. Let y be ((u\/6)\/(-3))\/((-85)\/(-102)). What is the highest common divisor of n and y?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 13 - 12. Solve s = -3*v + 13 for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is seven halves of a gram in milligrams?\nAnswer: 3500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -f + 12*c + 53, -9*f + 4*c = -6*f - 31 for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) = -1. Let d(r) = r**2 + r - 2. Let m(o) = d(o) - 2*n(o). Let v(z) = -7*z**2 - 2*z - 1. Let a(c) = -2*m(c) - v(c). Is a(-1) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 5\/1102 and -47\/261?\nAnswer: 9918","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -1804, -7226, -16258, -28900, -45152?\n\"Answer: -1805*u**2 - 7*u + 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) = -2*u**3 - 4*u**2 + 58*u + 167. Determine h(-4).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-4)\/(-10) + 219\/15. What are the prime factors of (v\/4)\/((-2)\/(-8))?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 99 is divided by 39.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Work out 19643 * -0.3.\nAnswer: -5892.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 3270 times 11.574?\nAnswer: 37846.98","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 239.8 - -68.2. Let m = -309.39 + g. Let q = 2.06 + m. Round q to one dp.\nAnswer: 0.7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 867 to the nearest integer?\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is -5594338 <= -16783015\/3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 5\/6 of a day in hours?\nAnswer: 20","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 1\/9, -2362, 101\/299?\nAnswer: -2362","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 41522 + 3?\nAnswer: 41525","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 870 - -52. What are the prime factors of a?\nAnswer: 2, 461","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 79 a factor of 5838354?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 112 and 32.\nAnswer: 224","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let u be ((-1)\/4)\/(3\/(-180)). Suppose -2*a - 3*l = 1 - 4, -27 = -2*a + 5*l. Suppose x + u = a*x. Is x greater than or equal to 14\/9?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*l**2 + 1662*l + 202168 = 0. What is l?\nAnswer: -683, -148","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.58 + -0.27.\nAnswer: -0.85","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (2 - 12) + 28 + -27 + (10 - 2).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-4)\/(-9)*(2\/2)\/1.\nAnswer: 4\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -20554 (base 10) to base 14\nAnswer: -76c2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 7, -151 in decreasing order.\nAnswer: 7, -5, -151","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -1010001010110010101111 + -1?\nAnswer: -1010001010110010110000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 56 - (32 + (46 - 37)).\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 875473 is divided by 3052?\nAnswer: 2601","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 9 minutes after 3:03 PM?\nAnswer: 3:12 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 64*h - 243869*h**2 + 243879*h**2 - 64*h.\nAnswer: 10*h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -4.95 + 5. Let w = 0 - -0.05. Let z = p - w. Which is the second biggest value? (a) z (b) -0.2 (c) -0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 51, 83, 99, 99, 83, 51?\n\"Answer: -8*j**2 + 56*j + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2648*u + 9191 - 111551 = 764*u for u.\nAnswer: -30","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let y be -2 - (-5)\/((-15)\/(-18)). Let u be (2 - y) + 408 + -3. Suppose 3*f + 5*q = u, -5*f + 2*q = -57 - 656. Is f a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) be the first derivative of -3443*b**4\/2 - 11517*b**2\/2 + 3511. What is the second derivative of a(t) wrt t?\nAnswer: -41316*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) = -78*i**2 + i. Let q(c) = -25 - 20 + 73 - 5*c - 28. Determine q(j(a)).\nAnswer: 390*a**2 - 5*a","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 5920526835 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 8 - -13. Let -28*i + 18 - y + 49*i**2 + 7 = 0. Calculate i.\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) = -11 - 430*p + 37 + 432*p. What is f(-14)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) = -11*l**2 + 6. Suppose -5*j = -11*j - 36. Let r(b) = -23*b**2 + 11. Let p(m) = j*r(m) + 11*y(m). Let q(n) = 3*n**2. Calculate q(p(d)).\nAnswer: 867*d**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) = 3461*y**2 - 267*y + 27. Is c(-10) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8307580 a multiple of 21?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -133 - -133. Solve 2*x = -w + 6 for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -180.429 to the nearest integer.\nAnswer: -180","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 a and 1 e when two letters picked without replacement from {o: 3, e: 1, a: 12, k: 4}.\nAnswer: 6\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Express (51 - 21 - 23 - 2*u + (5 - 3 + 0)*(-5*u + 4*u + 0*u) + (-4 + 2*u + 4)*(-2 - 2 + 2))*(8 - 8 - 15) in the form k + j*u and give j.\nAnswer: 120","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 11016408, 11016412, 11016420, 11016432, 11016448, 11016468?\n\"Answer: 2*c**2 - 2*c + 11016408","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 319 divide 56463?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 p, 1 i, and 1 o when four letters picked without replacement from spspppopsisii?\nAnswer: 6\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1061516 to the nearest integer?\nAnswer: 102","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 948\/(-79)*1729\/(-273).\nAnswer: 76","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) = 0 - 34*s + 37*s - 1. Let x be l(6). What is the highest common divisor of x and 17?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2201690?\nAnswer: 2, 5, 220169","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 u when four letters picked without replacement from uuuuuuu.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-3)\/(216\/10)*(14694\/(-85715))\/((-27)\/(-84)).\nAnswer: 2\/27","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16 = -5*p - 2*s, -4*p - s - 4*s + 23 = 0. Solve 3*v = -p*v + 25 for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1100011100100 (base 2) to base 13\nAnswer: -2b92","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -4 - (4 + (-2 - (3 + -2))).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:11 AM and 3:36 AM?\nAnswer: 25","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 p, 1 f, and 1 d when four letters picked without replacement from {d: 7, f: 4, p: 6}?\nAnswer: 3\/17","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 190439.3*0.4.\nAnswer: 76175.72","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {w: 2, l: 1, t: 11, o: 4, h: 1}. What is prob of sequence otth?\nAnswer: 55\/11628","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) = -t**2 + t - 2. Let l(f) = -2*f**2 + 2*f - 3. Let p = -12 - -8. Let b be 20\/8 - 2\/p. Let n(s) = b*m(s) - 2*l(s). Factor n(v).\nAnswer: v*(v - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -59*s + 103*s + 44. Suppose f - 3 = -1. Let y(g) = 2*g**3 + 4*g - 3*g**f - 3 + 2 - 4. Let l(x) = -x**2 + x - 1. Give s*y(t) + 4*l(t).\nAnswer: -2*t**3 - t**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 15 - ((-21)\/(-3) + (-25 - -19)). What is the greatest common factor of b and 5047?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o**0*o**(-17\/6)*o)\/((o\/o**(-5\/2)*o)\/(o*(o\/(o**(-11)*o))\/o)))**(13\/6) assuming o is positive.\nAnswer: o**(91\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -441, -887, -1335, -1785, -2237?\nAnswer: -2691","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 59.07027 weeks to minutes.\nAnswer: 595428.3216","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) = 8*a**3 - 4*a**2 + 5. Let k(z) = -4*z**2 + 8 - 16835*z**3 - 4 + 16842*z**3. What is 6*k(i) - 5*n(i)?\nAnswer: 2*i**3 - 4*i**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 33490 - 33492. Put 4, -0.3, -13, w in descending order.\nAnswer: 4, -0.3, w, -13","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, -4, -3 in decreasing order.\nAnswer: 1, -3, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-64)\/624*48\/256?\nAnswer: -1\/52","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3302726570 to the power of 1\/3, to the nearest integer?\nAnswer: 1489","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 9505285 to the power of 1\/2, to the nearest integer?\nAnswer: 3083","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1277, 5098, 11465, 20378, 31837, 45842?\nAnswer: 62393","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) = -2*a**3 - 12*a**2 + 36*a - 4. Suppose -165 = -9*p + 24*p. What is the hundreds digit of f(p)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (x**3 + 10*x**2 - 10*x**2)*(70*x**2 - 48*x**2 - 72*x**2) - 389*x + 23*x**5 + 389*x.\nAnswer: -27*x**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) be the second derivative of h**5\/20 - 2*h**3\/3 + 14*h. Let c(a) = a**2 - 3*a - 2. Let u be c(4). Let d be u\/(-3) - 14\/6. Calculate s(d).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1296\/(-1332))\/36 - (-860)\/(-22940)?\nAnswer: -2\/31","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 51187 to the power of 1\/4, to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -73*d**2*g**3 - 112073*d**2*g*n**2 - 271*d*g**3*n**2 + 2*d*g**2 - 10436*d*n**2 wrt d?\nAnswer: -146*g**3 - 224146*g*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.001132096 to 6 decimal places.\nAnswer: -0.001132","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00316899924 rounded to 7 decimal places?\nAnswer: -0.003169","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 5 in -0.7, -0.08, 5, -2\/21?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -1459455 divided by -1?\nAnswer: 1459455","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) be the first derivative of 2*y**5\/25 - 81*y**4\/5 + 2186*y**3\/15 - 1224*y**2\/5 - 992*y + 3281. Suppose w(x) = 0. Calculate x.\nAnswer: -1, 4, 155","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-27)\/1*((-32)\/(-1) - (164 + -134))\nAnswer: -54","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is (4 + 210\/(-55))*(-3 - -4)?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -355, -713, -1061, -1393, -1703, -1985, -2233, -2441?\n\"Answer: s**3 - s**2 - 362*s + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) = -q**3 - 22*q**2 + 116*q + 2876. Calculate c(-21).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 15 is divided by 12.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 25206, 25205, 25218, 25251, 25310, 25401, 25530, 25703?\n\"Answer: k**3 + k**2 - 11*k + 25215","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 e, 1 d, and 1 h when three letters picked without replacement from {n: 3, e: 5, d: 4, h: 6}.\nAnswer: 5\/34","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_test"},"subset":"dm_maths"} +{"text":"Question: Let q = 2 - 7. Let w(f) = -12*f + 1. Let p be w(-3). Find the common denominator of (p\/(-4))\/(q\/2) and 11\/2.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = b + 2*w - 11, 0 = -3*b - 5*w + 19 + 10. Let q(c) = -287*c**2 + 2*c - 3. Let o be q(b). Round o to the nearest one hundred.\nAnswer: -2600","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 1480 and 2960?\nAnswer: 2960","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:48 AM and 9:47 PM?\nAnswer: 719","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*i - 68 = a, 0 = 5*a - i - 113 + 401. Let x be a\/(-20) + (54\/(-60))\/(-9). Let u be -2 + (-5)\/((-5)\/(-12)). Sort x, u, -5 in ascending order.\nAnswer: u, -5, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) = j. Let h be (-3)\/(5\/(175\/(-15))). Let s be f(h). Suppose 245 = s*x + 77. What are the prime factors of x?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 238 is divided by 12.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -6 (b) -3\/5 (c) -0.4 (d) 1\/25\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -4.83? (a) -3 (b) -2\/9 (c) -0.07\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 12677330 (base 9) to base 4.\nAnswer: 113312032311","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) be the second derivative of -j**5\/20 - 3*j**4\/4 + j**3\/2 - 13*j**2 + 56*j - 32. Calculate g(-10).\nAnswer: 44","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3450011 is divided by 1149986?\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-6)\/18 + 6\/(-9). List the prime factors of -2*z\/2*(-1 - -168).\nAnswer: 167","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -5\/22, -39, 3\/7, -0.2, 0.4, 5\/2?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 36450 and 648?\nAnswer: 162","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 s and 1 x when two letters picked without replacement from zzvvgsvvzgzzzxzz?\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -1 - ((-10 - -5) + 4)\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (5*o - 3*o - o)*(-89 + 389 - 1)*(-2 - 1 + 2 - 2 + 5 - 1 + (-3 + 5 + 0)*(3 + 1 - 5) - 2 + 0 + 1) to the form b*o + z and give b.\nAnswer: -598","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Add together -6 and -0.0324.\nAnswer: -6.0324","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Determine f, given that 28*f**5 - 76*f**4 + 4*f**3 + 92*f**2 - 32*f - 16 = 0.\nAnswer: -1, -2\/7, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*b + 9 = -30*x + 34*x, -4*b + 5*x = -12. Let c(k) be the first derivative of -13 - 2\/11*k - 1\/33*k**b + 3\/22*k**2. Factor c(i).\nAnswer: -(i - 2)*(i - 1)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (52\/(-39))\/(2 - 82\/42). Is (14\/f + (-3)\/(-1))*3946 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine g so that -4*g**2 - 22976*g - 6881436 = 0.\nAnswer: -5427, -317","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 450758012?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1325*u**2 - 3 - 62*u - 1325*u**2 + 3 + 31*u**3 - 27*u**3.\nAnswer: 4*u**3 - 62*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 w, 2 h, and 1 x when four letters picked without replacement from hwwwwfwxaffaxwffwwal.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) = -169*m - 16136. What is t(-95)?\nAnswer: -81","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, -3, 6, 1567, -4 in ascending order.\nAnswer: -4, -3, 4, 6, 1567","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2\/(((-2016)\/2352)\/(1\/21)).\nAnswer: -1\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 40? (a) 3 (b) 1\/8 (c) 1\/12 (d) -4 (e) 5\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x\/(x*(x**(-10\/13)\/x*x)\/x)*x)\/x**(-38) assuming x is positive.\nAnswer: x**(530\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 18410643*j = 18410687*j - 1496 for j.\nAnswer: 34","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*a - 2*w + 8 = 0, 5*a - 2 = -5*w + 18. Solve 2*u = u + k + 3, -5*u + k + 7 = a for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0.089039 - 0.089. Round v to 5 decimal places.\nAnswer: 0.00004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-664)\/136 - (-4)\/(-34)\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*n**3 - 1155*n**2 + 50757*n + 25668 = 0.\nAnswer: -1\/2, 69, 124","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 12 times 0.12?\nAnswer: 1.44","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 31276 is divided by 1006.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) = -3 + 100*k**2 + 0*k + 4*k - 103*k**2. Let h(p) = 13*p**2 - 17*p + 13. Let w(s) = 2*h(s) + 9*j(s). Solve w(t) = 0.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 34703, 69407, 104111?\nAnswer: 138815","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*i + 8 = -8*i - 4*b, -b = -i - 7. Let q = -1 - i. Suppose r = 2 + q. What is the units digit of r?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 3\/17, -0.05, 4, -3\/2, -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -1\/88 or 3\/10?\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) = -2*h + 3. Suppose -57*f + 70 - 33 + 77 = 0. Let d(n) = -n + 1. What is f*t(c) - 2*d(c)?\nAnswer: -2*c + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 (base 13) in base 14?\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from uku. Give prob of sequence uk.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*i**2\/5 + 54*i\/5 - 216\/5 = 0. What is i?\nAnswer: -12, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Do 1 and 43\/160783 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) = y**3 + 6*y**2 - 2*y - 10. Let r be p(-6). Suppose -2*x + r*d + 88 = 0, -x - 3*d + 18 = -10. Solve 2*w + w - 5*v + x = 0, 0 = 4*w + 3*v + 5 for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) = t + 2. Let x be g(13). Let m be (1\/4)\/(5\/x). Let p be (-10)\/(-4)*8\/(-110). Which is the second smallest value? (a) p (b) m (c) 1\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 207998514 a multiple of 18?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*a - 3 = d, 5*d = -5*a - 0 + 30. Suppose 0 = -4*x - 0*x - 52. Let h = x - -18. Put a, h, 1 in descending order.\nAnswer: h, a, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -36072.9 + -41152855\nAnswer: -41188927.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 1\/274 - -815\/1918. Which is the second biggest value? (a) k (b) -5 (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 153 divide 43299?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) = -b**3 + 5*b**2 - 5*b + 6. Let g be k(4). Solve 3*l = -3, i - 7 + 1 = g*l for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) be the third derivative of -a**6\/1800 + a**4\/120 + a**3 - 3*a**2. Let w(v) be the first derivative of y(v). Suppose w(z) = 0. What is z?\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 105 and 35?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 51766 a multiple of 143?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -37 - -46 - (2 - 1)\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14 = -3*v + 4. Suppose -3*s = -v*s + 12. Suppose 11*x = s*x + 525. Is 13 a factor of x?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -0.162 + -0.838. Which is the nearest to f? (a) -2\/5 (b) -4\/5 (c) -1\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together 0.69156 and 11492.\nAnswer: 11492.69156","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 1861229952 - 1861229952.05448871836. Let d = c + 478.05446761836. Let b = -478 + d. Round b to six decimal places.\nAnswer: -0.000021","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*d - 5*d + 15 = 0. Let x(p) = 5*p**3 - 3*p**2 + 4*p - 3. Calculate the remainder when x(d) is divided by 30.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -5 - -7. Suppose 0 = 4*o - 3*j + 192, 2*j = -0*j. Let i be (o\/(-9) - k)*6. Solve 4*l - 3*l - 5*b = -16, l + 4*b - i = 0 for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 8*f**4 - 104*f**3 + 5*f**2 + 176 wrt f?\nAnswer: 192*f - 624","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -16 = -8*j + 12*j for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand 7 + 2*k**3 - 7 + (-5 + 2*k + 5)*(4*k**2 - 2*k**2 - 4*k**2) + (1 - 34*k - k**2 + 34*k)*(75*k + 5779 - 5779).\nAnswer: -77*k**3 + 75*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Convert 250243 (base 11) to base 4.\nAnswer: 1200211030","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 106*z = -44*z - 78*z - 1596 for z.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) = 3*i**2 + 2359*i + 9411. Determine c(-4).\nAnswer: 23","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3404421 = -2*q + 3*t, 778272 - 4182692 = -2*q + 4*t. Let o = -71484115\/42 + q. Let w = 1606\/7 - o. What is the common denominator of 10\/3 and w?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*a - 4*g + 198, 1 = -5*g - 4. What is the remainder when a is divided by 26?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from tddtttd. Give prob of sequence tdtt.\nAnswer: 3\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -390, -1655, -3804, -6837?\nAnswer: -10754","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate k*o**4 - 37*k*o**2 + 96*k + 2*o**4 with respect to o.\nAnswer: 4*k*o**3 - 74*k*o + 8*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Put together -15215352027 and 13.\nAnswer: -15215352014","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -107\/8856 and -1\/7704?\nAnswer: 947592","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 24899 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ooo when three letters picked without replacement from {i: 3, o: 9}?\nAnswer: 21\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 1 divided by -790\nAnswer: -1\/790","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: -10*5\/(-300)*-4\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*j + 30 = 14*j. Suppose -j*f = -433 + 153. Calculate the remainder when f is divided by 2\/8 - (-126)\/8.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -44*c**2 - 13*c**4 + 44*c**2 - c**4 - c**4 + 4*c**4 + (2*c**3 - 5*c**3 + 2*c**3)*(-4*c + c + c) + 6*c**4 - 3*c**3 + 3*c**3.\nAnswer: -3*c**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) = 3*i**3 - 5*i - 59. Let k be t(-4). Is k bigger than 0.5?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.25455 * 13\nAnswer: -3.30915","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 2\/7 - (-99)\/21. Let y = -26691 + 26691. Put -7, w, -3, y in ascending order.\nAnswer: -7, -3, y, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 30*f**2\/7 - 3*f - 9\/7 = 0. Calculate f.\nAnswer: -3\/10, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Put 460, -317, 4 in increasing order.\nAnswer: -317, 4, 460","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) = -i**2 + i + 0*i**2 + 3*i. Let l(h) = -5*h + 26. Let f be l(4). Determine m(f).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0.182 + -102.182. Let s = j + 102.0043. Round s to three decimal places.\nAnswer: 0.004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -a**3\/5 - 433*a**2 + 4333*a\/5 - 2167\/5.\nAnswer: -(a - 1)**2*(a + 2167)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*p + 28 = 4*g, 0*p + 2*p = -3*g + 22. Let d = -221 - -105. Calculate the remainder when g is divided by 8\/(-10) + d\/(-20).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) = 7*g. Let c be y(-1). Let z = 9 - c. Let n = 29 - z. Calculate the remainder when n is divided by 5.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*b = 2*k - 4, 4*k + 4*b + 11 = -29. Let a = 480 - 337. Let u = a + k. What is the hundreds digit of u?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) be the first derivative of 5*b**6\/12 + 2*b**5 - 35*b**4\/2 + 80*b**3\/3 - 145. Factor m(j).\nAnswer: 5*j**2*(j - 2)**2*(j + 8)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*w = 2*d - 21 - 47, -56 = 4*w - 2*d. Calculate the lowest common multiple of 3 and (24\/(-4))\/2 - w.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -19 = 4*u - b - 39, 4*u + 3*b + 28 = 0 for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 divided by -1628680?\nAnswer: 3\/1628680","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in 3, 14, -3\/16, 1, 0.04?\nAnswer: 0.04","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 21550\/1926570*(-18)\/15?\nAnswer: -2\/149","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 1 + 1 - 0\/(-2). Let o(w) = w**2 + w. Let z be o(a). Suppose -2*b + p + 41 - 45 = 0, -16 = 4*b - 3*p. Solve -b*g + 4 = 5*h, g = h - z*h + 2 for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -4 - -8. Suppose x*b - 81 = 7. Does 11 divide b?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 11*n + 101736 = 101571 for n.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 99 a factor of 47175026?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 224 + -233 + (2 - (-18 + 1)) + -14\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 294 * 3.8527\nAnswer: 1132.6938","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1013571?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand 8*h**5 - h**5 - 2*h**5 + 5*h**5 + 0*h**5 + 8*h**5 + (3*h**3 + 2*h**3 + 0*h**3)*(-1 + 3*h**2 + 1) + 2*h**5 + 2*h**3 - 2*h**3.\nAnswer: 35*h**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1008 and 112?\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 55730 and 93350.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 187330 + 1521382 - 210006 = 121*a. What are the prime factors of a?\nAnswer: 2, 11, 563","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 7228 or -4.21?\nAnswer: 7228","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -20 + 27. What is the highest common factor of i and 7?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 605 to the power of 1\/2, to the nearest integer?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -4, -0.5, -36, -8\/167, 0.7?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 6247 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*v + 3*v - 8*v = -6, -5*a + 4*v - 8 = 0 for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 36468181 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many millennia are there in 15953.6 years?\nAnswer: 15.9536","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1747, 3469, 5191?\nAnswer: 6913","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 0 + 1\/1 - 232\/145. Let g = 23\/3 + -109\/15. Let d be -2 - (2 - (-150)\/(-39)). Which is the second smallest value? (a) d (b) g (c) j\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 30 - 13. Find the first derivative of -2*m**2 + 7*m**2 - 5*m**2 + 5*m**3 + t wrt m.\nAnswer: 15*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -1279293 bigger than -0.02?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) = -3 - 3*v - 11 + 20. Calculate the least common multiple of 22 and o(-2).\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 581 minutes before 7:59 PM?\nAnswer: 10:18 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 166 minutes before 12:23 PM?\nAnswer: 9:37 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from qbvkc. What is prob of picking 1 b and 1 q?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 2128263941?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) be the first derivative of 9*n**2 + 82. Let j(p) = -7*p. Calculate j(l(s)).\nAnswer: -126*s","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) be the third derivative of 2*o**7\/105 - o**5\/15 + 481*o**2 + 2*o - 3. Factor q(i).\nAnswer: 4*i**2*(i - 1)*(i + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*q + 0*q - 4*q)*(-3*q + 3*q - 2*q**2)*(7157 - 13745 + 4950).\nAnswer: -3276*q**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 747 - 765.36. Let n = -19 - m. Round n to 1 decimal place.\nAnswer: -0.6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) = -2*v**2 + 6. Let q be a(-2). Let g(w) = -w**2 + 1. Let c(s) = 2*s**3 + 5*s**2 + 8*s + 3. Let t(f) = q*c(f) + 6*g(f). What is b in t(b) = 0?\nAnswer: -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) = -44*b. Let d(m) = -2*m + 1. Suppose 2*c = -3*s + 13, -2*s - 2*s + 2*c = 6. Let p(w) = s*t(w) - 12*d(w). Differentiate p(x) wrt x.\nAnswer: -20","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) be the third derivative of l**6\/120 + 7*l**5\/60 + l**4\/6 + l**3 - 40*l**2. Let c be v(-6). What is c rounded to the nearest 10?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 20.391507 microseconds to hours.\nAnswer: 0.0000000056643075","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) = v**3 - 5*v**2 - 5*v - 1. Let o(j) = 5*j + 1. Let r be (-8)\/(-32) + 7\/4. Suppose h - r*b = 3*b + 21, 4*b = -4*h - 12. Let p be o(h). What is x(p)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) 3 (b) 5\/2 (c) 0 (d) 1\/6503 (e) 1\/7 (f) -6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -8279701, 2\/9, 0.4?\nAnswer: -8279701","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 9 + -2 - (-7 + 10 + 5) - 11?\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 3780763 (base 9) to base 13\nAnswer: 571cc5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h be ((-100)\/(-75))\/((-1)\/27). Let z = h - -47. Suppose 3*v = 104 - z. What are the prime factors of v?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 1125 divide 25952323?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1257 + 1260 - 3771 + 1254 + 128*o.\nAnswer: 128*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 200876 to the nearest integer?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((4*sqrt(1782)*-2)\/(sqrt(176)\/sqrt(4) + sqrt(11) + sqrt(44)\/sqrt(4)*-6))**2.\nAnswer: 1152","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) be the third derivative of a**6\/60 + 183*a**4\/8 - 7*a**3\/3 - 3022*a**2. Differentiate x(i) with respect to i.\nAnswer: 6*i**2 + 549","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3\/2*r**2 + 1\/2*r**3 - 3\/2 - 1\/2*r = 0. Calculate r.\nAnswer: -3, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 4\/3, 16.56, 5\/9412, 1 in increasing order.\nAnswer: 5\/9412, 1, 4\/3, 16.56","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 12.2 - 13.19. Let c = u - -42.99. Let x = c - 38. What is the closest to x in 5, -1\/7, 1\/3?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose i + 1 = 15. List the prime factors of i.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) = -15*i**2 + 112*i + 8. What is p(3)?\nAnswer: 209","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-5 - -6)*7\/(28\/(-8)).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0.5 - 4.5. Let i = 1 + 4. Let x = 5 - i. Which is the biggest value? (a) -0.3 (b) h (c) x\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) = 3*k**2 + 38*k - 31. Calculate m(-12).\nAnswer: -55","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Round 7500000 to the nearest one million.\nAnswer: 8000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 6652.9 - 6653. Let o be (-14)\/(-18) - 7\/7. Which is the closest to l? (a) 1\/3 (b) o (c) -24\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) 2\/5 (b) 0 (c) -27 (d) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -107 = -5*c + 3*w, -2*c - 3*c - 2*w = -112. What are the prime factors of c?\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {m: 2, e: 2, s: 11, p: 1}. What is prob of picking 1 m, 1 s, and 1 p?\nAnswer: 11\/280","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*a - 61 = -3*z, 3*z - 28 = -2*a + 9. Solve 21*c = 6*c + z for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*b + 12 = -18. Let f be (-12)\/b*(-20)\/(-6). List the prime factors of f + -4 + -3 + 63.\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:23 PM and 11:12 PM?\nAnswer: 589","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) = 3*d - 16. Let u be c(5). Let m = u - -71. List the prime factors of m.\nAnswer: 2, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 319, 2511, 8461, 20047, 39147, 67639, 107401, 160311?\nAnswer: 228247","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 25579000 rounded to the nearest one hundred thousand?\nAnswer: 25600000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:34 PM and 6:13 AM?\nAnswer: 639","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*(sqrt(77)*-2 - sqrt(77)))\/sqrt(11) - (sqrt(28)*6 + sqrt(1008) + -1).\nAnswer: -42*sqrt(7) + 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-24)\/(-32)*(1 - -11). Solve -40 = f*c - 4 for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) be the third derivative of b**7\/84 + 7*b**6\/240 - b**5\/40 - 7*b**4\/48 - b**3\/6 + b**2. Factor y(n).\nAnswer: (n - 1)*(n + 1)**2*(5*n + 2)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -559.0078 - -0.0078. Let v = 534.3 + x. What is v rounded to zero dps?\nAnswer: -25","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millennia are there in 916.6567 decades?\nAnswer: 9.166567","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3\/(-5) + (14 - 396\/90).\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 127*k + 555 + 802 = -8549 for k.\nAnswer: -78","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*f + 74 = 5*q + 3*f, f - 66 = -4*q. Suppose -52 - q = -4*j. Find the first derivative of -j + 5 + 7*u**4 + 8 wrt u.\nAnswer: 28*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 268090 to the nearest integer?\nAnswer: 518","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 786*d = 790*d - 32. Solve -5*b + 21 = -d*b for b.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) = 39*r**2 - 24*r - 7. Let f(d) = -40*d**2 + 20*d + 7. What is 6*f(s) + 5*x(s)?\nAnswer: -45*s**2 + 7","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 = 2*l + 17. Let i = -27 - l. Let m be ((-6)\/i)\/(1\/6). What is the second smallest value in m, -4, 4?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) be the third derivative of 5*m**4\/8 - 31*m**2. Let v(j) be the first derivative of j**2 - 2. What is v(n(g))?\nAnswer: 30*g","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -3 + 67?\nAnswer: 64","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -94 - -116. What are the prime factors of m?\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 5208 - 5198. Solve -2*z + q = -7*z + 4*u, -5*z - 10 = 5*u for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 2277 - -3?\nAnswer: 2281","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 99\/333*(-92)\/(-506)?\nAnswer: 2\/37","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (46 + -48)*7\/2.\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) = a**2 + 46*a - 86. Let r(s) = -12*s + 57*s + 1 - 63 - 23. Let j be 4 - (24\/(-18) - (-2)\/6). Let y(o) = j*x(o) - 6*r(o). Factor y(f).\nAnswer: 5*(f - 4)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:27 PM and 8:13 AM?\nAnswer: 586","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11 = 2*g - 3*v, 3*v - 6 + 1 = 5*g. Let m be (90\/20)\/((-3)\/(-68)). Suppose 0 = 3*k, -k - m = -g*u + k. Does 17 divide u?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 185*u**4 - 705*u + 503870 wrt u.\nAnswer: 740*u**3 - 705","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*j + 4*j + 11*j + 42*j**2 - 15*j.\nAnswer: 42*j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) = 21*f - 51*f - 12 + 15*f - 7. Let h(w) = -5*w**2. Determine c(h(x)).\nAnswer: 75*x**2 - 19","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 67225 is divided by 2814.\nAnswer: 2503","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -16 - -26. Let x(c) = s*c - 5*c - 6 - 2*c - 4*c. Calculate x(-5).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 10*(-16)\/(-20) + -5?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -45 + 51. Let k(r) be the first derivative of r - 5*r - 7 - r**4 + o*r**2 - 4*r. Determine w, given that k(w) = 0.\nAnswer: -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -146 or -168?\nAnswer: -168","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.00645 and -0.344722.\nAnswer: 0.0022234569","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 3 + -4. Let k = w - 0. Let z = -6.4 + 6. What is the biggest value in -0.3, k, z?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -1\/4, 0.3, -5, -29.2?\nAnswer: -29.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = 4*y - 8. Let m be 27\/36 - y\/2. Let a = 3.04 + -0.04. What is the third smallest value in a, 0.1, m?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3*(-28)\/16*49\/49.\nAnswer: -21\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*p = b + 36, -4*p = p - 2*b - 90. Let f be p\/(-4) + 2\/4. Suppose -181*h + 177*h = -i - 11, -2*h - 2*i = 2. Put h, -3, f in ascending order.\nAnswer: f, -3, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*b**2 + 21189*b + 2893194.\nAnswer: -3*(b - 7197)*(b + 134)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) be the first derivative of 5*d**3 - 9*d**2 + 3*d + 7. Suppose x(t) = 0. Calculate t.\nAnswer: 1\/5, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -630673*q**4 - 2*q**3 + 9085*q**2 + 9 wrt q?\nAnswer: -15136152*q - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 124436891 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*h + 570 - 174 = 0. Suppose 0*k + 389 = 4*i + 5*k, 2*k = -i + 95. Calculate the remainder when i is divided by (-313)\/(-9) - 22\/h.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 48180507 and -47.54?\nAnswer: 48180554.54","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) = p. Let i(v) = 46*v**2. Give m(i(z)).\nAnswer: 46*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*j - 4*j - 30 = 0. Let y be 1*-2 + j + 7. Let c = 5 + -1. Solve y = -c*p + p + 3 for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -g**4\/5 - 1134*g**3\/5 - 315769*g**2\/5 + 648648*g - 1635920 = 0. Calculate g.\nAnswer: -572, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 107 - 27. Let s be (34 + (-1 - 1))*1. Calculate the greatest common factor of s and g.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 25200523 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:55 AM and 5:29 PM?\nAnswer: 634","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -182 or -180?\nAnswer: -182","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*d - 13 + 232. Suppose 5*f - 388 = -d. What is the units digit of f?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together 72 and 0.46.\nAnswer: 72.46","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 11\/22*(-12)\/10*(-118105)\/(-897).\nAnswer: -79","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*y + 71*s + 8 = 72*s, -y + 21 = 4*s for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let j be -1 - (4 + 9\/(-3)). Let k(d) = -9*d**2 - 7*d - 3. Let y(x) = 4*x**2 + 3*x + 1. Give j*k(i) - 5*y(i).\nAnswer: -2*i**2 - i + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -18 + 39. Suppose -7 - t = -4*s. What is the greatest common divisor of 56 and s?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -39 + 32. Let i be t + 8 + 3\/1. Which is the nearest to -0.09? (a) 2 (b) -1 (c) i\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) = -796*p + 7968. Let l be n(10). Solve 27 = -l*q - q for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + -1*(sqrt(8)\/((sqrt(256) - sqrt(256)*3) + sqrt(4)) + 5 + (sqrt(72)*-3 + (sqrt(2) + -1)*1)**2).\nAnswer: -588 - 509*sqrt(2)\/15","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 11333 is divided by 2265?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 11 + -12 - -4*1. Suppose 2*i + 291 = n*x, -x + 4*i = x - 186. List the prime factors of x\/(-3)*(-1)\/3.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from zqggjffjzjfqqz. Give prob of sequence zffg.\nAnswer: 3\/2002","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is v in v**4\/3 + 11*v**3 - 263*v**2\/3 - 4175*v - 23750\/3 = 0?\nAnswer: -25, -2, 19","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 108*d = 98*d + 290. Calculate the highest common factor of 203 and d.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (3\/(-4))\/(3\/(-12)). Suppose -c*k = -k - 2*n, -3*k - 4*n = 0. Factor 0 + 0*r**2 - 1\/2*r**4 + 0*r**3 + k*r.\nAnswer: -r**4\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1 + ((sqrt(735) - (sqrt(735) - sqrt(735)*2 - sqrt(735)))*6 + sqrt(735))\/((1*sqrt(1500) - sqrt(15))\/sqrt(5)))**2.\nAnswer: 266*sqrt(5)\/9 + 88526\/81","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -402 divided by -134?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0 + 5. Let q(w) = 0 - 5*w + 6*w - i. Calculate q(5).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 + 3 = -w. Suppose 45*d - 52*d + 203 = 0. Let p(a) = 5 - a - d + 7 + 15. Determine p(w).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:17 AM and 11:04 AM?\nAnswer: 647","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Does 14 divide 2156?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -359\/169 - -1943\/676. Let s(a) be the second derivative of -a**3\/6 - a**2 - a. Let q be s(6). Which is greater: q or b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*i + 1063 - 3789. Is i composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -2 - -2. Put a, 1\/7, -0.4 in decreasing order.\nAnswer: 1\/7, a, -0.4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -30322 and -10.\nAnswer: 303220","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 619*x + 567*x + 563*x + 572*x - 2392*x.\nAnswer: -71*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) = -2*n + 100*n**2 + 1 - 50*n**2 - 49*n**2. Calculate o(-2).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -s**2 - 22*s + 15*s + 16*s in the form m*s**2 + d + k*s and give m.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) be the second derivative of 5*z**6\/39 - 42*z**5\/13 + 512*z**4\/39 - 16*z**3 + 112*z**2\/13 + 74*z + 2. Find m such that i(m) = 0.\nAnswer: 2\/5, 2, 14","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) = -13*d - 141. Suppose 4*f + 6 = 6*f. What is the remainder when f is divided by n(-11)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-five quarters of a litre in millilitres?\nAnswer: 6250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 3727980089 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -0.234 - 0.266. Let x be (-2)\/12*(-8)\/6. What is the nearest to 0.1 in -0.4, x, a?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 5 - 5.08. Let o = -0.18 - y. Which is the second smallest value? (a) 1\/2 (b) o (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n\/n**(-1\/3))**17\/((n*n\/n**3*n)\/(n*n**(1\/7)\/n*n)))**(-5) assuming n is positive.\nAnswer: n**(-2500\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) = -18*u + 85. Let w(i) = -74*i + 340. Calculate -13*g(c) + 3*w(c).\nAnswer: 12*c - 85","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -133\/12 and 113\/42.\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -21*h**2 + 7*h + 63*h**2 - 2*h + 317 - 3*h - 39*h**2 - 41*h**3 - 17*h**6 wrt h.\nAnswer: -2040*h**3 - 246","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) = -489*t + 199. Let c(a) = 897*a - 399. Determine 6*c(w) + 11*r(w).\nAnswer: 3*w - 205","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) = 23*u - 1. Suppose s - 3 = 0, -2*a - a + 2*s - 3 = 0. What is the tens digit of t(a)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 4.57 + -4.8. Let u = m + 0.03. Suppose -3 = 2*x - 9. Is x not equal to u?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (2 - 2 + 1)*(-2*c - 2 + 2) - 6*c + 0*c + 0*c + (0 + 4 - 2)*(-127*c - 116*c + 241*c - 2) in the form l + k*c and give k.\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 427.66 + -427.660035474. What is d rounded to 7 dps?\nAnswer: -0.0000355","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is ((-40)\/6)\/(-4)*3*2116\/10 a multiple of 39?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) = 2*l**3 - 63*l**2 + 40*l + 268. List the prime factors of o(33).\nAnswer: 5, 971","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:38 AM and 10:00 AM?\nAnswer: 322","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) = -u - 2. Let f(t) = t**2 + 13*t + 25. Let p(r) = -f(r) - 5*l(r). Let y be p(-3). Solve 3*v - 3 + 6 = y for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5700700051 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -34*q - 130 = -300 for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) = -h**3 + 11*h**2 - 6*h + 9. What are the prime factors of u(10)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) = 25 - 26 + 4*w**2 - 19*w**3 + 22*w**3. Let j(a) = 9*a**3 + 11*a**2 - 3. What is -4*j(z) + 11*m(z)?\nAnswer: -3*z**3 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) be the second derivative of -w**7\/147 + w**6\/105 + 3*w**5\/70 - w**4\/42 - 2*w**3\/21 + 4*w. Determine y, given that a(y) = 0.\nAnswer: -1, 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 8938619?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4 + -1 + (0 + sqrt(882) + 0 + 2*sqrt(882)*3)*-3)**2.\nAnswer: 4410*sqrt(2) + 388987","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) = 29*m - 191. Calculate the smallest common multiple of w(10) and 66.\nAnswer: 198","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 2105550 to the nearest 10000.\nAnswer: 2110000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0*c + c - 3*c)*(1 - 3 + 3)*(6 - 15 + 17)*(-c - c + 0*c) - 3*c**2 + 3*c**2 - c**2 to the form g*c**2 + r + w*c and give g.\nAnswer: 31","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -20\/11 and 19\/68474?\nAnswer: 753214","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is u in -u**3\/4 - 42223*u**2\/2 - 445505368*u + 8025938208 = 0?\nAnswer: -42232, 18","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -3? (a) -2 (b) 12 (c) -86 (d) 0.2 (e) -82\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in seventeen halves of a microgram?\nAnswer: 8500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, -10, -1891 in increasing order.\nAnswer: -1891, -10, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*j + 4*j = 14*j - 52. Let g(n) be the first derivative of 0*n + 5\/3*n**3 + 0*n**2 - 2 - 1\/5*n**5 + 0*n**j. What is the third derivative of g(f) wrt f?\nAnswer: -24*f","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:38 PM and 7:57 AM?\nAnswer: 679","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: ((-6)\/(-108))\/((203\/(-12))\/7)\nAnswer: -2\/87","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 35 + 154 + 3*v + 173 - 10 - 4*v.\nAnswer: -v + 352","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-7)\/(-2) + (-1)\/(-2). Suppose 2*t = -2*p - 6, 0 = i*t + 2*p - 0*p + 10. Is -1 smaller than t?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2 + 0 - v**3 + 22*v**4 + 270*v + 3*v**2 - 270*v to the form d*v + y*v**3 + t*v**4 + x + c*v**2 and give x.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10 = 2*i - 4*d - 14, 0 = -5*i + 5*d + 40. Solve -i*z - 8 + 28 = 0 for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((u*u*u*u**5)\/u*u\/(u**(-16)\/u))**(15\/4))**42)**(-3) assuming u is positive.\nAnswer: u**(-23625\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 1209751391 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*p = 2, 0 = -2*d + 2*p + p + 13. Let i be 6\/(-15) + 74\/10. Solve 3*u - i = d for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 10? (a) -0.1 (b) 2.77 (c) -439.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Express (39*s**2 + 8*s**3 - 39*s**2)*(5*s - s - s) - 25*s**4 - 5*s**4 + 7*s**4 + s**4 - s**4 + 3*s**4 in the form b*s**3 + j + g*s + i*s**2 + q*s**4 and give g.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {f: 2, h: 2, o: 2, k: 7, b: 1, s: 2}. What is prob of picking 1 k, 1 f, 1 o, and 1 s?\nAnswer: 2\/65","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in seven quarters of a meter?\nAnswer: 175","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -1452772*g**5 - 2*g**4 + 2*g**3 + 16686*g**2 + 1279*g wrt g.\nAnswer: -87166320*g**2 - 48*g + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 152.45 (b) 21 (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -21*h**2 + 99*h**3 - 99*h**3 - 3*h**4 - h to t*h + q*h**2 + s*h**4 + p*h**3 + b and give t.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {f: 1, k: 2, n: 1, c: 3}. Give prob of picking 1 f and 1 n.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 421386037?\nAnswer: 29, 569, 25537","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -1222.2 + 1222.200043334. Round c to 7 decimal places.\nAnswer: 0.0000433","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -650.2 - -649.900023. Let h = n + 0.3. Round h to five dps.\nAnswer: 0.00002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*d + 4121*j = 4116*j + 6, 5*d - 11*j + 43 = -9*j for d.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose c - 127 + 107 = 0. Find the second derivative of 14*r**2 + c*r - 20*r + 81*r + 41*r**2 wrt r.\nAnswer: 110","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -409, -809, -1209, -1609, -2009?\n\"Answer: -400*a - 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:27 PM and 6:11 AM?\nAnswer: 704","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -4553684*v**4 + 2*v**2 + v + 21914790 wrt v.\nAnswer: -18214736*v**3 + 4*v + 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 189 + -217. Let w(f) = -f**2 - 39*f - 140. Is w(n) a multiple of 24?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 13630.\nAnswer: 2, 5, 29, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7*k - 9*k - 2*k - 2*k + 19*k - 6*k.\nAnswer: -7*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Factor -8*t**2 - 442*t - 110.\nAnswer: -2*(t + 55)*(4*t + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 17670?\nAnswer: 2, 3, 5, 19, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (8 - 7) + 6 + -9. Let v be -2 - -7*(o + 18\/6). Solve -v*d - 5 = -6*d for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -0.004 - 1.996. Which is the fourth smallest value? (a) 5 (b) -4 (c) g (d) -2\/11\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*y + 19 + 5 = 0. Let u = y + -4. Factor -6\/7*x**3 + 0 - 2\/7*x + 6\/7*x**u + 2\/7*x**4.\nAnswer: 2*x*(x - 1)**3\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*g**2 + 158315*g + 10111680.\nAnswer: 5*(g + 64)*(g + 31599)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) = 13*m**2 - 2*m + 3. Let d(a) = -11*a**2 + 2*a - 3. Give -6*d(c) - 5*o(c).\nAnswer: c**2 - 2*c + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Express j - 7*j - 151 + 150 in the form y*j + z and give z.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -0.4 (b) 7 (c) 1 (d) -1\/4 (e) -391 (f) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.1? (a) -2 (b) 0.3 (c) 96 (d) -0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many tonnes are there in 81.35895g?\nAnswer: 0.00008135895","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(5) - (-4 + sqrt(5))) + -5 + sqrt(5) + sqrt(315)\/sqrt(7) - ((sqrt(55)\/sqrt(176))**2 + (sqrt(180)\/sqrt(3))\/sqrt(12)).\nAnswer: -21\/16 + 3*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 29959.\nAnswer: 29959","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -85\/88 and 81\/484.\nAnswer: 968","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 78312528 and 10584?\nAnswer: 1512","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5 + ((2*(1 + sqrt(252)) + -3)*3 - (-5 + 0 + sqrt(252) + sqrt(252) + sqrt(252) + -1)*-3))**2.\nAnswer: -2880*sqrt(7) + 56956","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 2798 less than or equal to 2798?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 339452914?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:30 AM and 9:18 PM?\nAnswer: 708","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -127*d**6 + d**5 - 45*d**4 - 3*d**2 + 10241*d wrt d?\nAnswer: -15240*d**3 + 60*d**2 - 1080*d","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -1\/5 (b) -5 (c) 1\/528 (d) -0.02045\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 0 or -6910341?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 21\/12 + (-2)\/8. Let t = -5.4 + 0.4. Let b = -0.1 + -1.9. What is the closest to b in -0.2, w, t?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*q = 3*n + 14, -2 = n - 0*n. Solve -3*i - 15 = 4*c + c, 2*i = -q*c - 12 for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 9*z - z + 56. Let o = z + 9. What is the units digit of o?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, 9, -72 in descending order.\nAnswer: 9, -5, -72","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 5*w + 6 + 9 for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Total of 5840549945 and 138.\nAnswer: 5840550083","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*a**2 + 1281552*a + 205296941088.\nAnswer: 2*(a + 320388)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) = -31*i - 119. Suppose 4*k = 8, 6*k - 5*k + 14 = -4*n. What is d(n)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) be the third derivative of 0 + 1\/48*y**4 + 0*y + 1\/240*y**6 - 1\/60*y**5 + 37*y**2 + 0*y**3. Suppose w(z) = 0. Calculate z.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -4*n**3 + 157*n - 1 - 157*n - n**2 to i*n**3 + y*n**2 + p*n + v and give i.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -4*a**3 + 18*a + 10*a**3 - 7*a - 3*a**3 to the form f + z*a**2 + u*a + r*a**3 and give u.\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -g - 4*g + 600 = 0. Is 40 a factor of g?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 317 minutes after 5:23 AM?\nAnswer: 10:40 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 297948\/31 - 9611. Are 1 and s nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-3 + 4 - 3)*(4 - 4 + 3) + 0 - 2 + 0)*(2*i**3 + 3*i**2 - 3*i**2)*(0 - 1 + 0).\nAnswer: 16*i**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 4015 and 1546578.\nAnswer: 7732890","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 27196 is divided by 877.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_test"},"subset":"dm_maths"} +{"text":"Question: Let w(x) = 7*x**2 + 18*x - 188. Determine w(6).\nAnswer: 172","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 141 minutes after 3:34 AM?\nAnswer: 5:55 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) = 3*b**3 - 11*b**2 - 12*b + 7. Let j(x) = 17*x**2 - 16 + 2 + x**3 - 5*x**3 + 18*x + 3. Let d(t) = 7*a(t) + 5*j(t). Is 3 a factor of d(-6)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -s + 5*o + 224 = -0*o, 2*o = -s + 196. What is the units digit of s?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be ((-1910)\/20)\/(3\/24*2). Let a = 396 + j. Solve 16*o - a*o = -4 for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange b**2 - 2 + 34*b - 6 - 373*b - 1 + 12 to j*b**2 + d*b + z and give j.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 10927, 10960, 10993, 11026?\nAnswer: 11059","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-32)\/(-8))\/12*3*(-10)\/(-75)?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -16 - (-10 - (-70 - (-6 + 8 + -20 + 6))).\nAnswer: -64","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 33 and 1833199083.\nAnswer: 20165189913","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -4738 - -4731. Let o(c) = -4*c**3 + 6*c**2 - 2*c. Let t(s) = -5*s**3 + 6*s**2 - s. Let i(p) = -6*o(p) + 5*t(p). What is i(l)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) = 2*i. Let u(a) = -2*a - 2*a - 3 + 3*a. Let s be u(-6). Let j(v) = 2*v + 3*v - s*v. Give j(f(h)).\nAnswer: 4*h","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*g**5\/7 - 561*g**4\/7 - 7971*g**3\/7 + 33753*g**2\/7 + 89160*g\/7 + 48000\/7 = 0. Calculate g.\nAnswer: -16, -1, 5, 200","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 121*s + 70 + 30 = 96*s for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Factor 0 + 0*v**2 + 8\/3*v - 2\/3*v**3.\nAnswer: -2*v*(v - 2)*(v + 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 695, 2901, 6579, 11729, 18351?\nAnswer: 26445","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from iifiiiiifiiiiiiifi. Give prob of sequence ifii.\nAnswer: 91\/816","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-1 + 1 + 4)*(2*d - 4 + 4) - 5 + 3 + 1 - d)*(-4 + 8 - 5).\nAnswer: -7*d + 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 91 minutes before 1:13 AM?\nAnswer: 11:42 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 43 (base 10) to base 9\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Product of 1155 and 0.04.\nAnswer: 46.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find o, given that 0 - 2\/5*o**3 - 2\/5*o + 4\/5*o**2 = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) = 434*r**2 - 1323*r + 7. Determine z(3).\nAnswer: -56","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) = -1773*c - 12502. What is y(-7)?\nAnswer: -91","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*q**2\/11 - 3112*q\/11 + 9354\/11 = 0. What is q?\nAnswer: -1559, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -0.4, 2.43, -2.045?\nAnswer: -2.045","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) = 10*f**2. Let g(p) be the third derivative of -12*p**2 - 2\/3*p**3 + p + 0 - 1\/12*p**4. Calculate g(t(x)).\nAnswer: -20*x**2 - 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/16 of a kilometer in centimeters?\nAnswer: 6250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) = 2*l - 10. Let z be t(10). Suppose -6*y = -y + z. Let b be 0\/(y*4\/8). Which is bigger: b or 8\/9?\nAnswer: 8\/9","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 36 - -11620160?\nAnswer: 11620226","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 105*d + 2033*d - 2182 - 19814 - 7936 for d.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: -2.05*-0.09\nAnswer: 0.1845","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -3 (b) -3\/25 (c) 1\/2494 (d) -0.3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -6 + 11. Let w(k) = k**3 - 6*k**2 + 5*k + 4. Let g be w(f). Suppose 0 = -g*y + 4*h + 16, -2*y = 2*y + 2*h - 34. What is the units digit of y?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 10245.6 to the nearest 1000.\nAnswer: 10000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 22, -179374, 5, -5, -1?\nAnswer: -179374","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*v + 2*c + 10 = -0*c, 2*v = -5*c - 1. Let p = 0.06 + 0.44. What is the nearest to 1\/5 in -3, p, v?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*s = -5183*s + 479*s + 366756 for s.\nAnswer: 78","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 38 - 3.309?\nAnswer: 34.691","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*i + 4*i + 15 = 2*u, 0 = -5*u - 5*i + 30. Let c(v) = v**2 - v - 18. Is c(u) a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 15 divide 227706?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -75793 times 6.61\nAnswer: -500991.73","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 m when four letters picked without replacement from {m: 4, z: 2}.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -54*w - 419 = -205*w + 3809. What is the remainder when 1847 is divided by w?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 101, 101, 103, 107, 113, 121?\n\"Answer: s**2 - 3*s + 103","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Round 62.76666511 to one dp.\nAnswer: 62.8","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -4 - -10. Let l be 1 + (-1 + 0)*-7. Let i(g) = -l*g - 9 + g + 1. Let k(r) = 13*r + 15. What is w*k(j) + 11*i(j)?\nAnswer: j + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: (11\/(770\/28))\/(252\/15)\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 994519722*r**3 + 542608858*r**2?\nAnswer: 5967118332","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 9 a factor of 7200576?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Divide 8920641 by 8920641.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 577 less than -3759.374?\nAnswer: -4336.374","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) = h**3 - h + 3. Let w(a) = 13*a**3 - 13*a**2 + 65*a - 156. Let d(r) = -52*t(r) - w(r). Let g(i) = -32*i**3 + 6*i**2 - 6*i. Determine 6*d(k) - 13*g(k).\nAnswer: 26*k**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {p: 1, n: 1, k: 3, s: 1, x: 1}. What is prob of sequence sn?\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) = -3*f - 23. Let u(m) = m + 8. Give 6*c(l) + 17*u(l).\nAnswer: -l - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) = 3*w**2 - 7*w + 6. Is 14 a factor of k(6)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the seventh smallest value? (a) 5\/4 (b) -3\/8 (c) -0.399 (d) -1 (e) 3 (f) -0.73 (g) -0.2\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -9 (base 13) to base 2\nAnswer: -1001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 5 and -8357619.\nAnswer: -41788095","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 926 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Total of -0.2 and 110.\nAnswer: 109.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -45 + 23. Let i(q) = 7*q**2 - 39*q + 50. Let a be i(5). Let g = r + a. Calculate the lowest common multiple of 3 and g.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-7)\/35*((-24)\/(-60))\/((-5)\/2400*-6)\nAnswer: -32\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -449, -919, -1389, -1859, -2329?\nAnswer: -2799","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:14 AM and 7:31 PM?\nAnswer: 617","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) = 4*u + 34. List the prime factors of m(14).\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -5977 + -2?\nAnswer: -5979","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 287 or 39?\nAnswer: 287","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 453 minutes after 4:50 AM?\nAnswer: 12:23 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -42 + 1661. What is the thousands digit of g?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -105*u**3 + 74*u**2?\nAnswer: -630","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -7761, -14065, -20369, -26673, -32977?\nAnswer: -39281","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-28)\/4 + (7 - -2).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + (2 + (sqrt(363) - (1 + sqrt(363) + 1 + sqrt(363))) - (-3 + -5 + (sqrt(18) - sqrt(18)*-2)\/sqrt(6)))**2.\nAnswer: -224*sqrt(3) + 654","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Round -99190000 to the nearest one million.\nAnswer: -99000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9 = -3*j - 0. Differentiate -j*l + 0*l - 3 - l with respect to l.\nAnswer: -4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand g**5 + g**5 - 4*g**5 + (3*g - 2*g - 3*g)*(g**4 + g**4 - g**4) + 0*g**5 + g**5 + 0*g**5 + g**5 - 2*g**4 + 2*g**4 - 67*g + 3*g**5 + 67*g.\nAnswer: g**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 2\/10 - 39\/(-5). Let u = 1 - w. Let d(k) = -7*k**3 + 2. Let f(l) = 27*l**3 - 6*l**2 + 6*l - 14. Let b(o) = -4*d(o) - f(o). Give b(u).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -109 + 1162 = 39*l. Let z be 2\/1*-3 + 1. Let m = l - z. Is 8 a factor of m?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) = -s**3 + 3*s**2 + 5. Let w be h(4). Let a = w - -50. Suppose -3*z + 2*y + 26 = 0, y = 5*z + 2*y - a. What are the prime factors of z?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*a**3 - 38596*a**2 + 695700*a - 3132108.\nAnswer: -4*(a - 9)**2*(a + 9667)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = x - 6*x + 15. Let g be ((-1)\/2)\/((-29)\/(-58)). Let v(f) = f**2 + 21*f + 6. Let b be v(-21). Put b, x, g in increasing order.\nAnswer: g, x, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -157 - -153. Which is the biggest value? (a) -2\/19 (b) -0.1 (c) q\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000010187 to 7 decimal places.\nAnswer: 0.0000102","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 74, 55, 0, -109, -290, -561, -940?\n\"Answer: -3*v**3 + 2*v + 75","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -11954 + 262929\/22. Suppose 0 = -2*a + 4*v - 14, 2*v - 7*v = a - 7. What is the common denominator of 6 + a - (-134)\/(-24) and d?\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -15*r**2*w**4 - 10*r**2*w + 4*r*w**4 + 8*r - 3*w**4 + 6*w**2 wrt w?\nAnswer: -360*r**2*w + 96*r*w - 72*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (0 + 3\/2)*12. Let s be (-4)\/(-9) + (-4)\/k. Let j = -5 + 5. Which is greater: s or j?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.05 * -7608732.\nAnswer: -380436.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: (5\/55)\/(26\/(-104)*(-2 + 4))\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -106, -55, -0.2, 4.\nAnswer: -106, -55, -0.2, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -29*h**2*v**3 - 28*h**2 - h*v**3 - 420*h*v wrt h.\nAnswer: -58*v**3 - 56","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth smallest value in -8, 0.2, -0.5, 0, 2, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/3? (a) 2\/5 (b) -12 (c) 12\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1495*m + 893*m - 13785 + 46132 = -77501 for m.\nAnswer: -46","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 13443348467 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 50.77617t in milligrams?\nAnswer: 50776170000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 s and 2 u when four letters picked without replacement from uuksukkksus.\nAnswer: 3\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -l + 6 = 4*f - 5, f = -3*l + 11. Suppose 0*b = f*b. Suppose 4*h + 6 + 26 = 5*p, -3*h + p - 13 = b. Put -4, h, -5 in decreasing order.\nAnswer: h, -4, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 507909 is divided by 367.\nAnswer: 348","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 1\/((-1)\/(-3)) + 14. Let r(d) = d**2 + 20*d - 5. Let h be r(-21). Which is smaller: m or h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) = -p**2 + 1. Let m be y(-2). Let z be (m\/2)\/(8\/(-160)). Suppose 2*r = 0, z = 4*l - r + 2. Solve 0 = 3*v - 5*d, -2*v + d + l = -0*d for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 2100 and 504.\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -29607753*x**3 - 4304029*x**2?\nAnswer: -177646518","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.0025? (a) 92.3 (b) 2 (c) -2\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 6576 - 680. What is the thousands digit of u?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -g - 2*g. Let d(o) = 373*o - 1. Let n be d(2). Suppose -5*f - 4*x = -n, 2*x + g*x = -3*f + 447. Is f a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.4 and 166.\nAnswer: 66.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 423 and 2261123?\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -1493 + 1497. Let c(s) be the second derivative of 0 + 0*s**3 + 0*s**2 + 1\/50*s**5 + 0*s**k + 10*s. Factor c(u).\nAnswer: 2*u**3\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) = -2*z**3 + 11*z**2 - 4*z + 24. Let v(j) = 2*j**2 + 6*j - 31. Let c be v(3). Let b be p(c). Are b and 4 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 938 and 6?\nAnswer: 2814","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 968 and 6378636.\nAnswer: 12757272","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 213449288 take away -49.8?\nAnswer: 213449337.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Factor 45*x**2 + 6040*x + 1340.\nAnswer: 5*(x + 134)*(9*x + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-17264)\/(-9) - (-2)\/(-9). Suppose 0 = -2*m - x - 1282. What is m rounded to the nearest one thousand?\nAnswer: -2000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -5184 + 5185.3365. Round r to 2 decimal places.\nAnswer: 1.34","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 14011 is divided by 488?\nAnswer: 347","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is (-7 - (28 - 27)) + 2 + -19?\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 161047?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 40538543 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 353 + 207 = -5*o. Let l = o + 189. List the prime factors of l.\nAnswer: 7, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -4 - (7115980\/(-30) + 15\/(-9)) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 10 + -132?\nAnswer: -122","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 7 - 10\/((-291410)\/(-204001)). Is r greater than 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.0274*22266.\nAnswer: -610.0884","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) = 2*y**2 - 274*y + 4878. What is d(21)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 147.1 - 142.1. Which is the second smallest value? (a) 3 (b) -2\/9 (c) 0.2 (d) u\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 38064302 is divided by 2103.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -g = 4*g. Let t(i) = 10 - i**2 - 6 + 5*i + g. Give t(6).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -0.5 (b) 3 (c) 0.08 (d) 54\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is (-7 - -1)\/(-1)*(2 - (-54)\/(-81))?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) = g**3 - 9*g**2 - 2*g + 13. What is r(9)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8 = -l + 3*h, 17*l + 5*h = 12*l - 40 for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 8, 9, -5, -2813, -1.\nAnswer: -2813, -5, -2, -1, 8, 9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 8608792 and 904.\nAnswer: 8608792","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) = -18*k**2 - 26*k - 23. Determine m(-5).\nAnswer: -343","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 1 or -26\/69?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) = -b**3 + 15*b**2 - 15*b + 11. Let l be d(14). Let m be (-8 - l)\/(-15)*15. Solve -31 = 3*a + m*j - 0*j, 3*a = -2*j - 16 for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -u**3 - 2 + 2 - 584*u.\nAnswer: -u**3 - 584*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -2a46a - 13?\nAnswer: -2a481","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -4839, -3806, -2775, -1746, -719?\n\"Answer: -l**2 + 1036*l - 5874","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) = 2*s**3 - 1071*s**2 + 1533*s + 36987. Calculate n(534).\nAnswer: 141","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 190 (base 15) in base 9?\nAnswer: 440","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -46 + 79. Suppose -3*u + 13 = 2*d, -v = -4*d + 4*u + 3. Let a = d + -6. Solve 3*t - 2*g = -a - 2, -5*g + 33 = 4*t for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -c - 4*c - 3*h + 420, -h = 0. Let l = -19 + c. Calculate the remainder when l is divided by 17.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 4303 - 20. What are the prime factors of b?\nAnswer: 4283","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -288*a + 299*a + 5*i = 90, -7*a - 260 = -66*a + 5*i for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is (44\/(-11)*-1*69\/(-6))\/2?\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose h - 4*l + 5*l - 32 = 0, -86 = -3*h - 5*l. Let j = h - 16. Calculate the greatest common factor of j and 7.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 808 is divided by 45.\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 24*f - 3407365 = 4702115. Is f prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-2616)\/64 + 18 - -23?\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1\/36 <= -4\/9?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-15918)\/(-420) + -35 + 2\/((-8)\/2).\nAnswer: 12\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 864 + -885. Do j and -4 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 2858945917?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5*l**2 - 31*l**2 + 45*l**2 + 13*l**2 - 36*l**2 + 17*l**2.\nAnswer: 3*l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) = 1864*s - 9356. Give l(5).\nAnswer: -36","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 9007345.\nAnswer: 5, 1801469","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) = 382*m + 35. Let q(o) = 22*o + 2. Let n(l) = 2*g(l) - 35*q(l). Let v(x) = 1067*x + 1. Give v(n(s)).\nAnswer: -6402*s + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -1101001 - -10001000111?\nAnswer: 1111011110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Put 10, -2\/3, 24, 0 in descending order.\nAnswer: 24, 10, 0, -2\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 13 divided by -1?\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 8431373 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Round 1.133483 to three decimal places.\nAnswer: 1.133","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -54 + 54. Solve 4*h - 2*w + 12 = z, -h - 6*w = -w - 8 for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 12, 0, -38, -102, -192, -308, -450?\nAnswer: -618","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1\/18, 1\/2, -1\/4, -20.6, -0.07.\nAnswer: -20.6, -1\/4, -0.07, 1\/18, 1\/2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) = 21*j**2. Let h(b) = 2*b**2 + 2*b + 4. Let u be h(-2). Let w(g) = 13*g**2 - 7*g**2 - u*g**2. Determine w(d(z)).\nAnswer: -882*z**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1616?\nAnswer: 2, 101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a*a*((a**(-1\/2)*a)\/a)\/a)**(-2\/29)\/((a**(-4)*a)\/a**5) assuming a is positive.\nAnswer: a**(231\/29)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6*h**2 - 26*h**2 + 4*h**2 + 3*h**2.\nAnswer: -13*h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Round 1031.83 to the nearest 100.\nAnswer: 1000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: -33808 divided by 20\nAnswer: -8452\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*j**4 - 376*j**3 - 2700*j**2 - 5832*j - 3510.\nAnswer: 2*(j - 195)*(j + 1)*(j + 3)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose i = 3*l - 1, -2*l - l = 4*i + 4. Suppose 2 + l = a. Let t(w) = -w**2 - w - 9. Let u(k) = k**2 + 2. Let d(o) = -t(o) - 4*u(o). Give d(a).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 53399.\nAnswer: 67, 797","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 315430208?\nAnswer: 2, 31, 173, 919","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Product of 104433 and 0.014.\nAnswer: 1462.062","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is (4 - 43) + 16 + (7 + 0 - 0)?\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 780390.\nAnswer: 2, 3, 5, 13, 23, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 702 minutes after 6:57 AM?\nAnswer: 6:39 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 2 divided by -110\nAnswer: -1\/55","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 6 - 9. Let x be 65\/10 + y\/(-6). Let z(o) = -o + 8. Determine z(x).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/4 in 9, 2\/5, -0.4, 0.5?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, 2, 2\/33 in decreasing order.\nAnswer: 5, 2, 2\/33","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 1.85 + -3.191. Is c greater than or equal to 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: (9\/60)\/((-6)\/(-208))*5\/2\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:38 AM and 6:03 PM?\nAnswer: 445","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) be the third derivative of n**8\/3360 - n**7\/1260 - n**6\/36 - 2*n**5\/15 - 53*n**4\/12 - 197*n**2. Let b(j) be the second derivative of r(j). Factor b(o).\nAnswer: 2*(o - 4)*(o + 1)*(o + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-30)\/4 - (-2)\/(-4). Let d = -5 - p. Solve 0*l = -d*l - t - 12, 3*l - 4*t = -27 for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) = -10*j**2 + 2*j + 1. Let q be d(-1). Let t be 290\/(-20) - (-3)\/2. Which is smaller: q or t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*f - 436 = 2*f. Let t = f - 110. Let l = t + 11. Is l composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 1\/(15\/(-6) + 2). Find the common denominator of 81\/(-15)*(-5)\/y and -133\/6.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from evhhhkvkvkfhhvv. Give prob of picking 2 v and 1 e.\nAnswer: 2\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1257978?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -27b07c5 - -2?\nAnswer: -27b07c3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 10 a factor of 49367370?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Does 400 divide 1584400?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 46*a**2*s + 4473705*a**2 - 3743179*a*s - s + 3 wrt a.\nAnswer: 92*s + 8947410","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: -784 times -0.06\nAnswer: 47.04","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*v + 1308 = -372. Let b(j) = 2*j**2 - 9*j + 5. Let c be b(7). What is the greatest common factor of v and c?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 200184*l - 200184*l + 127*l**3 - 7 + 7.\nAnswer: 127*l**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -39175, -78376, -117565, -156736, -195883, -235000, -274081, -313120?\n\"Answer: g**3 - 39208*g + 32","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1.43 + 4.\nAnswer: 2.57","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 267 and 6?\nAnswer: 534","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00018291 to 6 dps.\nAnswer: 0.000183","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) = -l**2 + 2*l. Let b(u) = 3*u. Calculate b(n(g)).\nAnswer: -3*g**2 + 6*g","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) be the second derivative of y**5\/10 + y**3\/3 + y**2\/2 - 3*y. List the prime factors of p(2).\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 at least as big as 120601?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000001177886034 rounded to seven decimal places?\nAnswer: 0.0000012","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -315.9973427 rounded to the nearest ten?\nAnswer: -320","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*f + 5*j + 92, -f + 7*j - 4*j = -30. Suppose -k + 4*z - 10 = -0, -5*k - 2*z = -60. Calculate the remainder when f is divided by k.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -3 + 103301?\nAnswer: 103232","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 13 - 5*p - 29 + 21*p + 15 to the form d*p + n and give n.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 1010279 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1 + (1*sqrt(228))\/sqrt(12) + -2 - 1*(sqrt(2736) - (1 + sqrt(2736) + -1)))**2.\nAnswer: -2*sqrt(19) + 20","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*f**3 + 3*f**3 + 3*f**3)*(0*f + 4*f - 2*f) - 16869*f + 39*f**4 + 16869*f + (-f + f - f)*(-2 - f**3 + 2).\nAnswer: 48*f**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -0.02, -0.284, 3\/5?\nAnswer: -0.284","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 4 + -2. Suppose -t*q + 20 = 4. Let x = -6 + 10. What is the greatest common factor of x and q?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) be the second derivative of -m**7\/1260 - m**6\/180 - m**5\/60 - m**4\/36 - m**3\/36 + 2*m**2 - 3*m. Let y(i) be the first derivative of f(i). Factor y(u).\nAnswer: -(u + 1)**4\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6395514 a multiple of 114?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 1000 + -1100?\nAnswer: -100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -326.073198 rounded to the nearest integer?\nAnswer: -326","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Does 996 divide 2089207?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from gbwbegtbbbwgeb. Give prob of picking 1 w and 2 g.\nAnswer: 3\/182","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 197*l**3 + 198*l**3 + 5*l**2 + 189*l**3 - 577*l**3.\nAnswer: 7*l**3 + 5*l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -14? (a) -0.1 (b) -0.2 (c) 148 (d) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -9382 + 9430. What is the biggest value in -1, 3\/2, w, -4, -13?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 9*i + i - 222*i**3 + 8*i + 9*i - 21*i to the form w + s*i + q*i**2 + k*i**3 and give k.\nAnswer: -222","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 10 - (1 + 0 - 2)?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*g**2 + 3*g**4 - 120*g - 2 + 120*g as b*g + x*g**2 + d + j*g**4 + n*g**3 and give j.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 126761*j**4 - 41332*j?\nAnswer: 1521132*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 306, 608, 910, 1212?\nAnswer: 1514","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) = -k + 5. Let s be m(5). Suppose -4*z - 12 = s, -3*z - 32 = 2*x - 3*x. Is x a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -12 - 13?\nAnswer: -31","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 6660 and 34780.\nAnswer: 313020","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2\/5? (a) 0.1 (b) 135 (c) 4 (d) -1\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 1 + -56983?\nAnswer: -56982","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -6 - (-14 + -1) - -1.\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-1)\/(-2) - 36\/(-8). Let r be ((-16)\/(-12))\/((-10)\/(-15)). Suppose -a*m = -5*s + 95, 2 = r*m + 4. Calculate the greatest common factor of 126 and s.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, 0, -148, 0.3 in increasing order.\nAnswer: -148, 0, 0.3, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*m**2 - 15*m.\nAnswer: 3*m*(m - 5)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1\/60? (a) 1 (b) 6 (c) 3\/4 (d) 2 (e) -82\/461\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 854 - 756. Solve -90 + u = 2*k for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 616145.\nAnswer: 5, 123229","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*d - 40 = -5*y, -6*y + 80 = -y + 5*d. Let z = y - 7. Suppose 4*g = -2*t - 2*t + 204, 2*g + 241 = z*t. What is the units digit of t?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:03 PM and 7:31 PM?\nAnswer: 148","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 164227272 a multiple of 174?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 1946\/5 + -54381\/140. Find the common denominator of 69\/284 and h.\nAnswer: 9940","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 284484 is divided by 47413.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) = -d + 5*d - 2*d. Let q(h) = -4*h**2. Calculate q(l(k)).\nAnswer: -16*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 18\/17 and -113\/117504.\nAnswer: 117504","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) = -858*c - 1. Let g(f) = -25*f. Give -2*g(v) - m(v).\nAnswer: 908*v + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (166\/(-4))\/(2\/4). Let q = 234 - 117. Let n = d + q. Is n composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0 (base 16) to base 9.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.7, 0.004, -863, 0 in ascending order.\nAnswer: -863, 0, 0.004, 0.7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 5 (b) 1 (c) -0.8 (d) -7680 (e) -3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*h**2 - 5*h**2 + 4*h**2)*(6*h - h - 3*h)*(3 + 1 - 6)*(4 - 9 - 8).\nAnswer: -312*h**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4688 = -55*o + 4853 for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (6 + -3)*(-4)\/6. Let l be (-16)\/(-9) + (-3 - p). Let v(d) = -3*d**2 + 121*d - 39. Let f be v(40). Is f != l?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-15)\/(-25))\/((-1046)\/7845)?\nAnswer: -9\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2865513 is divided by 8.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 837 and 4536.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 17262 is divided by 16.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (6 - 6 - (2 + -6)) + 7 + -1?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z**(-2)\/z*z)**(-6)*(z**(-2\/5))**(-9\/2) assuming z is positive.\nAnswer: z**(69\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Total of 525 and 906825.\nAnswer: 907350","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) = -q**2 + q. Suppose 0 = 5*m - 4 + 14. Let x(r) = 2*r**2 - 3*r. Let j(c) = m*x(c) - 6*o(c). Let b(w) = 0*w**2 + w**2 + 0*w**2. What is b(j(l))?\nAnswer: 4*l**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 801963 + -464476. Is j a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) = n**2 - 19*n + 60. Is 40 a factor of r(39)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) = x**2 - 25*x + 42. Determine t(23).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*n + 0*n = 51. Suppose -a = 4*c - 4*a - n, 2*a + 12 = 3*c. Let j = c - 0. Which is smaller: j or 6\/11?\nAnswer: 6\/11","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*(sqrt(17) + 0)**2 + -2.\nAnswer: -70","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -17871230 divided by -12857?\nAnswer: 1390","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 502 minutes after 7:56 PM?\nAnswer: 4:18 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 3*-2*3\/(-6). Suppose 8 = p*v + v. Suppose 15 = v*t - 3*u, t - u = -t + 13. Is t composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange o**2 + 2*o**2 + 118*o + o**2 + 8 - 159*o - o**2 to the form m + p*o**2 + b*o and give p.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -0.0558186 times -5\nAnswer: 0.279093","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*q = 3*q - 108. Solve -5*c - 20 = 0, 2*k - 3*c = -c + q for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000898 rounded to five decimal places?\nAnswer: -0.0009","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) be the second derivative of b**4\/6 - b**3\/3 - b**2\/2 + 2*b. What is the units digit of h(-1)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*m + 3 = 3*j, -5 = -3*m - 0*m - 5*j. Sort m, -5, 3 in descending order.\nAnswer: 3, m, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (4 - (-84)\/(-21))\/(-3). Factor -18\/11*s - 2*s**3 + 2\/11*s**4 + 38\/11*s**2 + v.\nAnswer: 2*s*(s - 9)*(s - 1)**2\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: (11\/((-66)\/24))\/14\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put 2916, -3, -260, -9 in descending order.\nAnswer: 2916, -3, -9, -260","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) = l**3 + 9*l**2 + 6*l + 1. Suppose -4*u - 5*h = -13, -2*h = -u + 2*h + 19. Suppose -u*n = -4*n + 24. List the prime factors of d(n).\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -5860972 greater than or equal to -5860970?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Total of 33 and -2.4143.\nAnswer: 30.5857","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: (-52)\/(-60) - ((-13067)\/365 - -35)\nAnswer: 5\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -73342758*u - 382368782 wrt u.\nAnswer: -73342758","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -6 + 14. Suppose -m*l**2 + 23*l**3 + 14*l**3 + l**5 + 3*l**5 + 8*l**4 - 41*l**3 = 0. Calculate l.\nAnswer: -2, -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) be the third derivative of 0*y + 5\/6*y**3 + y**2 + 475\/24*y**4 + 0. Let r be z(-3). What is r rounded to the nearest one hundred?\nAnswer: -1400","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (6 - 3) + -6 - 1. Let u be 2*t\/(-4) - 5. Let f(a) = a**3 + a**2 - a - 1. Let c(j) = j**3 + 2*j + 2. Let k(g) = -c(g) + 2*f(g). Calculate k(u).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from uui. Give prob of sequence uui.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 360.6 - 360.7. Which is the closest to 3? (a) n (b) -15 (c) 2\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 - 10 = -3*g. What is the common denominator of (3\/g)\/((-6)\/10) and 29\/2?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -29*b - 23*b + 49 + 537 = -2690 for b.\nAnswer: 63","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.05 in -166.88, 6\/7, 4?\nAnswer: 6\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 - -4 - (-57 + 5 + -2) a multiple of 19?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 100.526324 + -100.52. What is w rounded to three dps?\nAnswer: 0.006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 182757 to the nearest integer?\nAnswer: 428","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-8 - -14)\/((-42)\/(-119)). Solve -5*p + j = -m, 0 = 5*p - 0*j + 4*j - 32 for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3244 = 10*a - 566. Is a a multiple of 67?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 11*g**3 + 20*g**3 + 15*g**3 + 47*g - 62*g**3.\nAnswer: -16*g**3 + 47*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Work out 45 * -9.\nAnswer: -405","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) = y**3 - 4*y**2 - y - 8. Let m be j(6). Let s = -31 + m. Let l = s - 16. What are the prime factors of l?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) = -k**3 + 431*k**2 + 2116*k - 911996. Determine i(431).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -125616882 - -2.\nAnswer: -125616880","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) = 2*w + 2. Let o be d(-7). Which is bigger: -1 or o?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-2)\/6 + (-1622)\/(-6). Suppose 0 = -g + 4*h + 113, -2*g + 0*h = 3*h - p. What are the prime factors of g?\nAnswer: 3, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 4? (a) 4 (b) 2\/5 (c) -2\/5 (d) 2264\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) = 1161436*g - 13937215. Give i(12).\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 552 minutes before 3:52 PM?\nAnswer: 6:40 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 9, -94, 0.3?\nAnswer: 9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 29*y**3 - 5*y**2 - 18*y + 186156 wrt y?\nAnswer: 87*y**2 - 10*y - 18","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 566606.5 litres?\nAnswer: 566606500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) = -x + 6. Let j be s(-1). Suppose -4*b + 4*p + 56 = 0, p = -4*p - 25. Which is bigger: b or j?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -z + 5*w + 454, -2228 = -5*z - 14*w + 18*w. Let s = z + -2663\/6. Which is the second smallest value? (a) s (b) 3 (c) -8 (d) -2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3 + (2 - 1) - (-8 - -11)\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 3, -0.5, -4.7, -1\/8, 41?\nAnswer: -4.7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence rrrv when four letters picked without replacement from cvrrr?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -18 + 12. Let m(y) = y**3 + 5*y**2 - 6*y - 3. Let q be m(k). What is the units digit of 170\/8 + q\/12?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*b = -2*b - 16. Suppose -d = -24 + b. Calculate the common denominator of ((-37)\/d)\/((-8)\/32) and -25.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*c + 4*i = i - 4521, -5*c = -3*i + 4509. Let n = 745 + c. What is n rounded to the nearest one hundred?\nAnswer: -200","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -21, 4, 31, -5 in decreasing order.\nAnswer: 31, 4, 0, -5, -21","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 72850 and 29140.\nAnswer: 145700","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Divide -47375 by -1.\nAnswer: 47375","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {o: 4, a: 1, h: 4, m: 7, q: 2, f: 2}. What is prob of picking 1 m, 1 q, 1 a, and 1 o?\nAnswer: 56\/4845","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -358 = -27*v - 61. Suppose v*j - m = 9*j, -j = -2*m. Solve j = -5*n - 27 + 2 for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -3c - -6?\nAnswer: -36","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -32\/221 - 2\/221. Let k(r) = -2*r - 9. Let v be k(-6). Suppose -v*o = -0*o - 3. Which is smaller: c or o?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 225 and 189?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 6, -3, 2, 1\/36, -1\/4, -1\/11?\nAnswer: -1\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) be the first derivative of 61*a**2\/2 - 5*a + 7383. Let v(x) = -30*x + 2. Determine 5*v(s) + 2*z(s).\nAnswer: -28*s","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*p - 2*p = 42. Suppose -3*d - 5 = -3*n - 2, -p = 4*n + 2*d. Calculate the smallest common multiple of (12\/(-3) - -2)*n and 1.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (((-60)\/2040)\/(9\/(-2)))\/((-27)\/(-162)).\nAnswer: 2\/51","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 0 - -4. Suppose 3*p - 799994 = -c, -u*c + 3064211 = -p - 135791. Round c to the nearest one hundred thousand.\nAnswer: 800000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 665.\nAnswer: 5, 7, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from lgptlgllpmtm. What is prob of picking 1 p, 1 g, and 1 l?\nAnswer: 4\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Are 344 and 343 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) be the second derivative of 2*n**7\/189 + 59*n**6\/135 + 103*n**5\/15 + 48*n**4 + 108*n**3 - 243*n**2 + 1225*n. What is w in q(w) = 0?\nAnswer: -9, -3, 1\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -14? (a) 810\/13 (b) 0.043 (c) 6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x\/(x\/x**(14\/9)*x))\/x**21*(x*x**7)**(-24) assuming x is positive.\nAnswer: x**(-1912\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 + 1 + 5)*(102*b**2 + 3*b**3 - b**3 + b**3).\nAnswer: 27*b**3 + 918*b**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -5676 + 9405. What is the hundreds digit of n?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -8 + 5. Let o = s - -7. Let p be (-1)\/(-5) + 78\/(-15). Which is the smallest value? (a) p (b) -4 (c) o\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 132549767?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*s = -4*p + s + 16, 12 = 3*p - 3*s. What is the greatest common factor of 1 and p?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-27)\/18*(2 + 104\/(-6)). Suppose -4*d - 2*g + p = d, 3*d = 2*g + 17. Find the third derivative of f**2 - 11*f**2 - 8*f**2 + 0*f**2 + 25*f**d wrt f.\nAnswer: 1500*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from tbbtvttaaab. Give prob of picking 1 a and 1 t.\nAnswer: 12\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*i = 3*i + 12. Suppose -4*a - 2 = 2*m + 12, 0 = m + i*a + 12. Is 1\/3*(m - -480) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) be the third derivative of -23*r**5\/10 - 55*r**4\/6 + 237*r**2. What is the second derivative of d(z) wrt z?\nAnswer: -276","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 5, -12, -53, -118, -207, -320, -457?\n\"Answer: -12*f**2 + 19*f - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {j: 2, r: 6}. What is prob of sequence jr?\nAnswer: 3\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -3497, -0.059, 3\/2?\nAnswer: -3497","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(55) - (sqrt(660) - sqrt(660)*-4)\/sqrt(12)) + sqrt(55) - (-5*sqrt(5500) + sqrt(5500)))\/(sqrt(140)\/sqrt(7) + sqrt(5) + 4*sqrt(245)).\nAnswer: 37*sqrt(11)\/31","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 32 or 6.697?\nAnswer: 32","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 47 - 21. Suppose 0 = 4*s - 3*r - 17, -5*s - 2*r = -r - t. Suppose 4*a + s*k = 41, -a - 2*k - 43 = -6*a. What is the units digit of a?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -49*i - 522 - 310 = -48 for i.\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) = 18*q - 2. Determine r(2).\nAnswer: 34","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 208 divided by -1\nAnswer: -208","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 3\/(2*(-3)\/(-6)). Let z be 14\/(-77)*22 - (0 - 9). Solve k = -z*j + 13 for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 779 is divided by 10.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t**(-6)*t*t)\/t*t*t**11)**42 assuming t is positive.\nAnswer: t**294","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*((sqrt(1728) + -1)**2 + sqrt(192)\/(sqrt(16)\/sqrt(4))).\nAnswer: -264*sqrt(3) + 10374","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*g**2 + 1\/2*g**5 + 0 + 3*g**3 + 1\/2*g - 2*g**4 = 0 for g.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (136\/(-6324))\/((-130)\/(-78)*1\/(-5))?\nAnswer: 2\/31","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -148b - -1?\nAnswer: -148a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1.87? (a) 3 (b) 0.566 (c) -0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 - (-5 + 5 - 5) - -2?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 97 - 94. What is the remainder when 7 is divided by o?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) = -7*s - 23. What is the remainder when 37 is divided by v(-6)?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -6625a28 (base 11) in base 15?\nAnswer: -104bb84","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*r - 10*a + 9595 = -5*a, -5*r = -4*a - 16004. List the prime factors of r.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*r = -5*f + 31, 5*f - 14 + 3 = r for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 9.59161 rounded to the nearest ten?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -3, -3\/1003, 0, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Round -19.59030057 to two dps.\nAnswer: -19.59","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -74d79 + 13?\nAnswer: -74d66","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 166346701.\nAnswer: 53, 317, 9901","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.639 and 0.13.\nAnswer: 0.08307","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z**(-1\/6)\/(z**(-2\/9)*z))\/(z**0\/z)**49)**(1\/7) assuming z is positive.\nAnswer: z**(865\/126)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i**(-1\/7)\/i**(-3\/2)*i**(3\/8)\/(i\/(i*i**(4\/9)\/i)))\/(i*i*i*i*i**(-2\/11)*i**3*i**0*i**(1\/3)*i) assuming i is positive.\nAnswer: i**(-38669\/5544)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, -1, 3 in ascending order.\nAnswer: -4, -1, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 564\/4136*(-8)\/(-6)*2?\nAnswer: 4\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3 + 3*i - 26 - 14.\nAnswer: 3*i - 37","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (6*95\/171)\/((8\/1)\/(-2)).\nAnswer: -5\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-142 + 976 + 461)*(a**3 + 0 - 2 - 2*a**3).\nAnswer: -1295*a**3 - 2590","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-2*(-2)\/(-12))\/(74\/(-5994))?\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5842*u + 5787*u = -4620 for u.\nAnswer: 84","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-2 - -2) + 2 + (3 - 5)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 76566331 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 96, 75, 40, -9?\n\"Answer: -7*i**2 + 103","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: ((-29)\/(-9) - -1) + (-70)\/315\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1)\/2*(-322)\/1449.\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) = -3*z**2 - 22*z + 62. Let w(i) = 4*i**2 + 24*i - 61. Let s(b) = -6*q(b) - 5*w(b). Let y(a) be the first derivative of s(a). Give y(8).\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.1 in -20, -1\/8, -0.4, -0.1, 6999\/5, -2\/9?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 281845 is divided by 13.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -76 + 342 - 182 = 14*r. Solve r*h + 1720 - 1714 = 0 for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 4\/(-30) - 514\/(-30). Suppose r = 4*c + 5. Is 3 a factor of c?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) = -p**3 - 12*p**2. Let f be g(-12). Which is the smallest value? (a) -2 (b) -1 (c) f\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 21066 is divided by 70?\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -27.44 - -26.44. Which is greater: -7\/365 or c?\nAnswer: -7\/365","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) = -o**2 - 7*o - 9. Let q be a(-4). Suppose 3*d - 172296 = -5*f - 9302, -q*d = -2*f + 65206. What is f rounded to the nearest 1000?\nAnswer: 33000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 48 - 45. Solve 0 = j - u*j - 4 for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -7 (b) 6 (c) 2\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) = 10*b**3 - 2*b - 3. Calculate x(-1).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 210 and 147.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g**1*g)\/g*g**(2\/17))\/(g**2)**(-2\/21)*(((g*g**(-8)\/g*g)\/g*g)\/(g**1\/g))\/(g*g*g**(1\/2)*g)**(-2\/15) assuming g is positive.\nAnswer: g**(-3109\/595)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 = -2*q + 18. Let i be (-2 - q\/(-2)) + 2. Let o(k) = -4*k + 3 + 0*k - i*k + 4*k. Calculate o(4).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (((-1764)\/35)\/(-6))\/(((-58)\/(-522))\/((-5)\/6)).\nAnswer: -63","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3 + -5 + 4 + (8 - 8)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 22 + -26. Put n, -0.09, 2\/5 in decreasing order.\nAnswer: 2\/5, -0.09, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from httiyithltkihthhi. Give prob of sequence thih.\nAnswer: 5\/714","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 5*t + 112 - 147 for t.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 at least as big as 64\/356943?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {c: 2, h: 10}. What is prob of sequence hc?\nAnswer: 5\/33","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) = -l + 8. Let q be j(8). Suppose -5*i - 7 = -2*r, -i = -r - q*i + 8. Is r composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 4.7 + -65.7. Let j = l + 61.3. Sort 1, j, 3\/8 in descending order.\nAnswer: 1, 3\/8, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -12556*f + 3*f**3 + 271 + 12556*f.\nAnswer: 3*f**3 + 271","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 0.105 + -0.305. Which is smaller: 4.2 or a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 6, 0, -88, 2, -2 in descending order.\nAnswer: 6, 2, 0, -2, -88","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*m = -4*k - 16, -9 = k - 5*m + 2*m. Put 5, -5, k, -2 in ascending order.\nAnswer: -5, k, -2, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((c\/(c*c*c**(-1)))\/(c**(-1)*c)*(c*c**(-1\/2))**19)**1)**(-4) assuming c is positive.\nAnswer: c**(-38)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 2.6 - -0.4. Let w be 3\/(-132)*8 + 92\/22. Suppose -10 - 10 = w*n. Which is the closest to 2\/5? (a) 6 (b) d (c) n\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ujaawaauwwuawa. What is prob of sequence wu?\nAnswer: 6\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3254.5*-0.08.\nAnswer: -260.36","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 202101122 (base 3) to base 12\nAnswer: 872b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -36\/13237 and 38\/9455.\nAnswer: 66185","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence tgtg when four letters picked without replacement from {t: 2, g: 3}?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1*(52\/(-16))\/(-13).\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 9871364 and 0.09?\nAnswer: 888422.76","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 18492 is divided by 1232?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n\/(n**(-2\/5)*n))\/((n*n*n**(-1\/2)*n*n)\/n) assuming n is positive.\nAnswer: n**(-21\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 202386367 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 2\/423 + -19043\/1692. Find the common denominator of z and 57\/2.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*q - 4*q + 1 = 2*h, 4*q = 4*h for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-4)\/(-3) + (-14)\/(-21) + 0. Solve -1 = -3*b - y, -3*b - y + o*y = -5 for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve i - 871 = -875 for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*w - 5 = -o + 13, 0 = -3*w + 4*o + 18. Suppose w*x - 164 - 52 = 0. What are the prime factors of x?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) = v**2. Let i(a) be the second derivative of -5*a**3 + 3 - a - 1\/2*a**2. What is i(b(n))?\nAnswer: -30*n**2 - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) = v**3 - 8*v**2 - 8*v - 4. Let k be j(11). Let f = k - 171. Is f a multiple of 25?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3a6 (base 11) to base 10.\nAnswer: 479","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 65852 + -26001. Is q a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -101110101011 - 1100010011?\nAnswer: -111010111110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 881216263?\nAnswer: 197, 503, 8893","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((c\/(c\/(c\/(((c*c*c\/(c\/c**(1\/6)))\/c)\/c))))\/(c**(-1\/5)\/c)*((c*c\/(c**(2\/3)*c))\/c)\/c*((c\/c**(-2\/5))\/c*c)\/c)**(28\/9))**(-48) assuming c is positive.\nAnswer: c**(-5152\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_test"},"subset":"dm_maths"} +{"text":"Question: Suppose m = 3, -5*m - 4 + 3 = -4*x. Let v(w) = -2*w**2 + 6*w. Give v(x).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*y = -p - 23, -49*y - 2 = -47*y for p.\nAnswer: -19","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:13 PM and 7:53 AM?\nAnswer: 700","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -262 + 124 + 1859 - 186*w - 4240*w + 1942 wrt w.\nAnswer: -4426","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*m = -0*m - x + 11, 5*x - 10 = 0. Solve -i + s - m = 0, 4*i + 3*s + 15 = -4 for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:50 AM and 3:49 PM?\nAnswer: 419","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 266*p**2 + 2602*p - 2602*p - 1036*p**2 + 242*p**2 + 243*p**2 + 253*p**2.\nAnswer: -32*p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 3230909873?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 5237 - -74. What are the prime factors of p?\nAnswer: 47, 113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 70 (base 16) to base 7.\nAnswer: 220","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 14\/4 + 10\/20. Suppose 0 = -9*g + 4*g + 25. Suppose n - 12 = x*b + 18, g*n = -2*b + 62. Does 7 divide n?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence viv when three letters picked without replacement from iiiiviiiviiiiiviii.\nAnswer: 5\/272","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) = 17*g + 23. Calculate b(-1).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -105, -96, -81, -60, -33, 0, 39?\nAnswer: 84","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.7063871 kilograms in micrograms?\nAnswer: 706387100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 178*w + 1920 = 114*w for w.\nAnswer: -30","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 4*r + r + 0)*(-2 + 3 + 0)*(-3*r - 2 - 3 + r).\nAnswer: 6*r**2 + 11*r - 10","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0004635252 to 6 decimal places.\nAnswer: 0.000464","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) = 27*g + 283. What is t(-10)?\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 9 + 3. Let t(h) = h**3 + 6*h**2 + 2*h - 7. Let j be t(-5). Calculate the greatest common divisor of j and y.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -444 + -4?\nAnswer: -1003","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((l*l**(-2))\/l*l)**(2\/39)\/((l*l\/(l*l\/l**(2\/9)*l*l)*l)\/l)**42)**35 assuming l is positive.\nAnswer: l**(33950\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 p and 2 s when four letters picked without replacement from {s: 3, p: 9}?\nAnswer: 12\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.1 times 0.1003?\nAnswer: 0.01003","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) be the third derivative of 7*o**5\/60 - o**4\/8 - o**3\/2 + o**2. Is w(-3) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 8968 is divided by 170?\nAnswer: 128","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 25 - c?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 149 = -5*x - 26. Suppose -44*h - 40 = -52*h. Calculate the remainder when (-4)\/14 - 500\/x is divided by h.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 0.2 - -0.8. Let i = 452 - 453.46. Let w = i - -1.36. Which is the closest to s? (a) w (b) 3\/4 (c) -3\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 15 + (-2 - -1) + (32 - -4) + (-90 - -121)?\nAnswer: 81","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express (7*t**2 - 4*t**2 + 20*t**2)*(0 + t - 3 + 2) in the form g*t**2 + d + w*t + c*t**3 and give g.\nAnswer: -23","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) = -353 - 351 + 703. Let v(l) = -l**2 + 4*l - 2. Let d(x) = -4*o(x) - v(x). Give d(4).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine n, given that 782433*n**4\/2 + 8606757*n**3\/2 + 3912132*n**2 - 30*n = 0.\nAnswer: -10, -1, 0, 2\/260811","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -b**5 + 4*b**4 - 6*b**3 + 4027*b?\nAnswer: -20*b**3 + 48*b**2 - 36*b","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*((-2 + sqrt(1300) + sqrt(1300))**2 + 2 + 2 - ((sqrt(1300) + -2 + 2)*4)**2).\nAnswer: -31184 - 160*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) = 3*u**2 - 8*u + 9. Let f be x(7). Let s = f - 60. Suppose -4*p - 4*j = -80, -j + s = 2*p - 2*j. List the prime factors of p.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0 + 0 - 10269*q**2 + 5107*q**2 + 5104*q**2.\nAnswer: -58*q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 8 + -8. Let g be -3 + x + 0 + 0. Let u = 8 - g. Round u to the nearest ten.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -31964 - 31966 - 31967 + 95897 + 17*s.\nAnswer: 17*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 11739 is divided by 489?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) be the third derivative of q**5\/45 - 2*q**4\/9 + 8*q**3\/9 + 5*q**2. Factor k(g).\nAnswer: 4*(g - 2)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 1.983 - -0.017. Let n = 3.3 - 6. Let z = n + 3. What is the smallest value in z, -0.5, t?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j**(-2\/29)*j*j**(-2\/7))**(-25\/2)*((j\/j**1)**3)**25 assuming j is positive.\nAnswer: j**(-3275\/406)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 114 is divided by -3 + (5 - 3) + 107?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -109, -893, -3023, -7171, -14009, -24209, -38443?\n\"Answer: -112*s**3 - s**2 + 3*s + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) = o + 4. Let p be k(2). Suppose 0 = 2*d - p. Calculate the least common multiple of 6 and d.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 7793 is divided by 229.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -101 - -101.00000049. What is i rounded to seven dps?\nAnswer: 0.0000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) = -7*a**2 + 5555*a + 1581916. Determine m(1016).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 49 at most as big as 55084?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -5629 + 5701. What is the nearest to 1 in 0.05, q, -0.2?\nAnswer: 0.05","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*y + 17*y = 121 - 85. Let a be 206 - (-5)\/((-5)\/2). Suppose -y*z + a = -0*z. Calculate the highest common divisor of z and 17.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 112504 - 123082 = -123*u for u.\nAnswer: 86","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 23477.139792 - 47.970692. Let z = 23427 - k. Let v = z - -2.16. Round v to 3 dps.\nAnswer: -0.009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -120 - -121. Let w be (-12)\/30 + (-1 - -2). Which is bigger: w or b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) = x**3 + 6*x**2 - 8*x - 3. Let t be q(-7). Let r(g) = t*g - g**2 + 23*g + 40 - 8*g. What is the units digit of r(18)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 21246192 a multiple of 22?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -4 * 41.04\nAnswer: -164.16","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) be the first derivative of 3*b**4\/2 - 7*b**3\/3 - 6*b + 11. Let l(f) = 2*f**3 - 2*f**2 - 2. Determine -7*l(h) + 2*w(h).\nAnswer: -2*h**3 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is -2\/6647 at least as big as -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) = -t**2. Let j be 10\/(-40) + (-13)\/(-4). Let l(f) = f - 8*f - j*f. Determine k(l(d)).\nAnswer: -100*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find x, given that -2*x**3 + 1234220*x**2 + 1234222*x = 0.\nAnswer: -1, 0, 617111","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from qqwqw. Give prob of picking 1 w and 1 q.\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Determine z so that -2*z**3 + 3*z - 1 + z**4 + 2 + z**5 + 0 - 2*z - 2*z**2 = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2\/7 in -2, -4, -63, 0.03?\nAnswer: 0.03","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/3 in 3, -521, -5?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, 1, 46, -29, -5 in descending order.\nAnswer: 46, 5, 1, -5, -29","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) = 3*r. Let u(m) = 2402*m**2 - 41*m. Determine w(u(v)).\nAnswer: 7206*v**2 - 123*v","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 255 - 255.03. Is n > 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 6\/(((-9828)\/(-494))\/21)\nAnswer: 19\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) = l**3 - 9*l**2 - 17*l + 225. Determine s(11).\nAnswer: 280","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.03, -3, -0.294, 3 in increasing order.\nAnswer: -3, -0.294, 0.03, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 3*x - x - 6, 107*z - 3*x = 102*z - 34 for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 67\/286 and -18\/11?\nAnswer: 286","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8 + 8 = o. Suppose -g + 3 = -9. What is the smallest common multiple of g and o?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 6 and 182209.\nAnswer: 1093254","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 42\/(-28) + (-4)\/8.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -28*g = -36 - 20 for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) be the second derivative of 1\/10*q**5 + 64*q + 5\/3*q**6 + 0 + 0*q**4 + 53*q**2 - 1\/6*q**3. What is the second derivative of z(p) wrt p?\nAnswer: 600*p**2 + 12*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((u\/(u*u**(-14)))\/(u*u**(2\/5)))\/(u**20\/u*u**(-15\/7)))**(-30) assuming u is positive.\nAnswer: u**(894\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 878070.\nAnswer: 2, 3, 5, 29269","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 652324 to the nearest integer?\nAnswer: 808","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*u + 7*m + 43 = 0, -115*u + 111*u + 5*m + 41 = 0 for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 23342 + -15253?\nAnswer: 4045","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 86 is divided by 24.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 900796453 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*sqrt(35)*2)\/(1*(sqrt(28) - sqrt(7))) + 5*-4*(sqrt(5) + sqrt(5) + -3)**2*-4.\nAnswer: -962*sqrt(5) + 2320","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -28043.641 - -28055. Let a = 11.1 - y. Let o = a + 0.259137. Round o to five decimal places.\nAnswer: 0.00014","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be -4 - ((-2 - 0) + 1 - -1). Let f(o) = 10*o**2 + 10*o + 1. Let t be f(q). Factor 4 + 67*h - 15*h**2 + 66*h - t*h + 4*h**3.\nAnswer: (h - 2)**2*(4*h + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 1296\/132 + 4*(-1)\/(-22). Let i(v) = 2*v**2 - 4*v + 3. Let b be i(3). Is k at least b?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -43 - -47. Suppose 5*p + f*l + 1175 = 0, 8 = -3*l - 7. Let x = -114 - p. What is the hundreds digit of x?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 15053400 to the nearest 100000.\nAnswer: 15100000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 392823?\nAnswer: 3, 14549","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) = 3947*u**3 - 126304*u**2 - 31576. Let w(d) = 4*d**2 + 1. Calculate -94728*w(i) - 3*x(i).\nAnswer: -11841*i**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose l = -3*m, -31*m = -l - 27*m. Find f, given that 0*f**2 + 4\/5*f**4 + l + 0*f + 2\/5*f**5 + 0*f**3 = 0.\nAnswer: -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*c = 2*c + 48. Let q be c\/42 + 5\/((-35)\/(-138)). Solve -4*w - w - q = 4*a, 4*a = 2*w - 20 for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of (-16)\/(-12) - 274\/252 and 475\/112*(-131)\/655.\nAnswer: 1008","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6486\/(-705) - (1 + (-18)\/15).\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 637600206?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 127345713 is divided by 24?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3\/24 - (225\/(-40))\/(-5).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -230 divided by 823374.\nAnswer: -115\/411687","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 66422650 and 75911600?\nAnswer: 531381200","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 418, 631, 842, 1051?\n\"Answer: -v**2 + 216*v + 203","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) = 2*g**2 + 87611*g + 19611229. Determine p(-225).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) be the first derivative of c**2 + 4. Let d(z) = 4*z + z + 4*z. Let p(n) = 8*n. Let a(y) = -4*d(y) + 5*p(y). Determine x(a(h)).\nAnswer: 8*h","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -8.7911 rounded to the nearest integer?\nAnswer: -9","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -498a + 1465?\nAnswer: -3525","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -0.03*219.8\nAnswer: -6.594","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 27\/1053*-78 + (35\/1 - -1)?\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(7) + sqrt(7)*-3 + 0)**2 - -1*sqrt(7)*-5.\nAnswer: -5*sqrt(7) + 28","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*g**2 - 2058*g - 12240.\nAnswer: -3*(g + 6)*(g + 680)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify b**(-31)*(b**39*b)\/b assuming b is positive.\nAnswer: b**8","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 3\/2 + 15\/(-10). Does 15 divide 3 - (18\/(-1) + l)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 20\/1617 and 17\/28?\nAnswer: 6468","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 9498.\nAnswer: 2, 3, 1583","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + d**2 + 3)*(4 - 4 + 2*d) - d**2 - 3*d**2 - 4*d**3 + 7*d**2.\nAnswer: -2*d**3 + 3*d**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:53 PM and 1:05 AM?\nAnswer: 552","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 43051368.\nAnswer: 2, 3, 379, 4733","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Divide 2684994 by 58.\nAnswer: 46293","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 435?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) = -p**3 - p**2 + 5. Let u be q(0). Let c(d) = 4*d**2 + 6. Let j be c(-5). Suppose -u*h = -4 - j. Is h a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 676 minutes before 2:13 PM?\nAnswer: 2:57 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Does 5 divide 589?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -1783, -3545, -5291, -7021, -8735, -10433?\n\"Answer: 8*x**2 - 1786*x - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert -6d984 (base 15) to base 3.\nAnswer: -122202210121","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -52165325 less than -104.1714?\nAnswer: 52165220.8286","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.3? (a) 302666 (b) -53 (c) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 68? (a) 2\/27 (b) -0.5 (c) 1 (d) -2\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-15)\/24*-6 + 2\/8. Solve -v + g*v + 15 = 0 for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 507 and 91?\nAnswer: 3549","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 264384 divided by 1836\nAnswer: 144","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -2 + 7 - (18 + -9).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Determine z, given that z**3\/6 + 5135*z**2\/6 + 3810016*z\/3 + 1263271424\/3 = 0.\nAnswer: -2336, -463","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -45, -85, -129, -165, -181, -165, -105?\n\"Answer: 2*d**3 - 14*d**2 - 12*d - 21","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is (-8)\/(288\/21)*3 + 3?\nAnswer: 5\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0 (base 6) to base 16.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1431?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 460431724 and 232.\nAnswer: 116","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -2844 + 1549. Let t = -706 - l. Is t composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6 - 14 = -5*s for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (18\/(-135))\/(1\/(-5)).\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.08 in -2, 0, -3, -4741\/49, 23?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -5 - 1?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-105)\/(-63)*6\/(-45). Which is greater: h or -19\/37?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-306 - -302) + (10 - (0 - -2)).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ffw when three letters picked without replacement from {u: 1, s: 2, y: 1, w: 1, f: 2, b: 1}?\nAnswer: 1\/168","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) = j**3 + 8*j**2 + 7*j - 22. Let t be q(-5). What is the highest common factor of 342 and t?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 12 is divided by (2\/(-3))\/((-10)\/105).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 2\/4*(-1 - -1). Let p(r) = -3*r**2 - 5*r - 5. Let o(t) = -5*t**2 - 9*t - 10. Let n(a) = 4*o(a) - 7*p(a). Determine n(k).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 19661 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x*x*x**(-8\/5)*x)\/x**11*(x**4)**(-37) assuming x is positive.\nAnswer: x**(-788\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -7 - -4. Let g = -1 - r. Let n = g - 5. Which is the closest to n? (a) 5 (b) -0.4 (c) -0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -16 (base 12) to base 7.\nAnswer: -24","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -171 - -187 - (1 + 21)?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f be ((1 - 0)\/(-1))\/(43\/258). Let o(q) = -4*q - 21. Let z be o(f). Suppose z*a = 3, 116 = 2*c - a - 107. What is the highest common divisor of 14 and c?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) = -b**2 - 60*b - 22. Let o(k) = -7*k. Calculate o(a(w)).\nAnswer: 7*w**2 + 420*w + 154","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -107*b + 39 = -223*b + 103*b. Let t be 4\/6 - 4\/(-6). What is the third biggest value in 0.3, t, b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 19092*m**3 - 37683*m**3 + 19309*m**3.\nAnswer: 718*m**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) = 761459*v + 25128151. Calculate o(-33).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let p be -44 + 40 - (-6 + 2). Suppose p = 4*h + 5*l - 5, 4 = -3*h + 5*l - 1. Solve h = 7*f - 0*f - 14 for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 26 and 36933?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 25.1 + -25. What is the closest to 1\/2 in -2\/7, 2, u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 108 (b) -2\/9 (c) 0.5 (d) -26 (e) -0.001\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -281340.54 times -1\nAnswer: 281340.54","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*k = -3*s + k + 12, -4 = -2*s + 2*k. Let w be (-23)\/4 - s\/(-4). Let u = 7 - w. Is 12 a factor of u?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 318950473.\nAnswer: 19, 16786867","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 14728, 28893, 43058, 57223, 71388?\nAnswer: 85553","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -6b6 (base 14) in base 11?\nAnswer: -1005","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15*t - 12 = 11*t. Let o be t\/(-2)*(-92)\/(-69). Is -1693*o*((-3)\/6 - -1) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*x**4\/11 - 34*x**3\/11 - 14*x**2\/11 + 250*x\/11 - 204\/11 = 0 for x.\nAnswer: -3, 1, 2, 17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*n - 58 - 134 = 0. Let h be 14\/4*n\/(-112). Suppose -1\/4*a**4 + 0*a - 1\/4*a**3 + 0*a**h + 0 = 0. What is a?\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence bg when two letters picked without replacement from {j: 1, g: 4, w: 1, b: 5}.\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 4803569487 to the nearest integer?\nAnswer: 1687","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is -687 >= -876?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -2\/63 - -148\/693. Let i = 35\/58 - 3\/29. Which is the third biggest value? (a) l (b) i (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -78052 + 78052 - 56773*v**3.\nAnswer: -56773*v**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of (23 - (-391)\/(-4))*-268?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/57 in -16, 3, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o\/o**7)**27*(o**(2\/13))**(7\/10) assuming o is positive.\nAnswer: o**(-10523\/65)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) be the first derivative of -25 + 0*u + 8\/3*u**3 - 29\/2*u**2. Find the second derivative of y(d) wrt d.\nAnswer: 16","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 4772 + -4771.9. Let w(y) = y**2 + 5*y - 2. Let t = -4 + -2. Let c be w(t). What is the second biggest value in f, c, 3\/4, -0.05?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2781*d - 3260*d = -20597 for d.\nAnswer: 43","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) = -4*b - 23. Let t(x) = -28*x - 160. Let r(h) = 3*t(h) - 20*y(h). Let z(o) = -1. Let v be (36\/(-24))\/((6\/(-4))\/1). Calculate v*r(u) - 20*z(u).\nAnswer: -4*u","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) = -301*q - 9. Is x(-2) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 29257 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 6\/5 of a millennium in months?\nAnswer: 14400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) be the second derivative of u**4\/3 + 83*u - 2. Let d(m) = -19*m**2. Determine d(k(o)).\nAnswer: -304*o**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -919*b + 930*b = -33 for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 129*r - 87427 = 10484. Calculate the highest common divisor of 231 and r.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, -5, 3, 2574, -1 in increasing order.\nAnswer: -5, -1, 1, 3, 2574","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1175*y**3 + 1177*y**3 + 1154*y**3 - 3510*y**3.\nAnswer: -4*y**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 725 is divided by 142.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 13 - 4453676?\nAnswer: -4453663","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = -331*z + 332*z. What is the nearest to 0 in 1\/7, z, -4\/5?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 20 a factor of 940640?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 9302520, 9302519, 9302518, 9302517, 9302516?\n\"Answer: -z + 9302521","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in 1, -12, 0.5, -0.01, -7334?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 13\/(-91)*3\/(-3).\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Add -35.58 and 706.\nAnswer: 670.42","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Sort 802, 2, 4, 52.\nAnswer: 2, 4, 52, 802","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many millennia are there in 868447.9 decades?\nAnswer: 8684.479","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-134*g**2 + 1048*g**2 + 574*g**2)*(4 - 6 + 4).\nAnswer: 2976*g**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 (base 11) in base 3?\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) = q**2 - 6*q + 2. Let l be u(6). What is the third derivative of a**l + a**3 - 6*a**3 + 5*a**2 wrt a?\nAnswer: -30","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 31556*i**3 - 2*i - 15783*i**3 + 5*i - 15785*i**3 + 1 - 3*i**2 - 2*i as n*i + m*i**3 + w*i**2 + v and give n.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1170540 is divided by 35468.\nAnswer: 96","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 12, 38, 68, 102, 140?\n\"Answer: 2*d**2 + 20*d - 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) = -11*z**2 - 4*z - 2. Let x(g) = -26*g**2 - 10*g - 5. Let a(v) = -5*o(v) + 2*x(v). Let y(w) = 10*w + 5. Give y(a(q)).\nAnswer: 30*q**2 + 5","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 687 minutes before 11:14 PM?\nAnswer: 11:47 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0\/(2\/3*-3).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -9, -27, -35, -27, 3, 61?\n\"Answer: m**3 - m**2 - 22*m + 13","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Express (96*q - 2899*q + 749*q + (-4 + 1 + 2)*(2*q - 3*q - q))*(5 + 1 - 4) in the form b*q + n and give b.\nAnswer: -4104","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5563798 is divided by 150?\nAnswer: 148","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 61, -0.3, -15, -22?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0 (base 7) to base 11.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2 + sqrt(1053) + sqrt(52) + 2)**2 - (4 + sqrt(1053) + -5)*-4.\nAnswer: 124*sqrt(13) + 1585","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 116828174 to the power of 1\/2, to the nearest integer?\nAnswer: 10809","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) = 145*k + 77. What is the tens digit of o(7)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t*t\/(t\/t**(-28))*t**(-1\/3))\/(t**(-3)\/t*t**(-9\/8)) assuming t is positive.\nAnswer: t**(-533\/24)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -29 + (-23 + 6 - -9) + 21 + -1.\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, -64700, -4, 3 in descending order.\nAnswer: 3, -4, -5, -64700","meta":{"dup_signals":{},"source":"comparison__sort_test"},"subset":"dm_maths"} +{"text":"Question: Rearrange -8 + 12*x**4 + 8 - x - 10*x**4 + 43*x**2 to d*x + f*x**3 + w*x**4 + r + z*x**2 and give d.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -10*x**3 + 6 - 6*x + x**3 - 8 to the form b*x + t*x**3 + r + k*x**2 and give k.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 + 4 + -2 + 2 + -1?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in 25\/2 of a tonne?\nAnswer: 12500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 129\/(-559)*(-1755)\/15.\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -41661, -41659, -41657?\nAnswer: -41655","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -d**2*l - 632*d*l**3 - 3*l**3 - 3*l**2 - 153 wrt d?\nAnswer: -2*d*l - 632*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 72898?\nAnswer: 2, 7, 41, 127","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -36925 - -95.\nAnswer: -36830","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 22245628591 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -330*q = -833*q - 21629 for q.\nAnswer: -43","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-5)\/(15\/(-6))*14\/7?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) be the first derivative of 10*s**3\/3 - 7*s**2\/2 - 72*s + 207. List the prime factors of g(10).\nAnswer: 2, 3, 11, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 - (4 + -6) - 14?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h\/((h\/((h\/(h\/h**(3\/7)))\/h*h))\/h)*h*h**(2\/7)*h)**(1\/11)*(h**4\/h*h\/(h**(5\/4)*h))**0 assuming h is positive.\nAnswer: h**(26\/77)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) = -v + 6. Calculate the remainder when y(-2) is divided by 4.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) = 13*z - 1. Let b be m(1). Let y be (-1 - 2)*16\/b. What is the remainder when 44 - (-1)\/(2\/y) is divided by 15?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 36543011 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) = -31*c - 3. Let o(j) = 16*j + 2. Let b(t) = -2*g(t) - 5*o(t). Let i(y) = 12*y + 3. Suppose -3*m + 0*m = -21. What is m*i(k) + 5*b(k)?\nAnswer: -6*k + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) = t**3 - 6*t**2 - t - 13. What is l(7)?\nAnswer: 29","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 3849?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) be the first derivative of s**3\/3 - 275. Let a(l) = -2104*l**2. Calculate p(a(d)).\nAnswer: 4426816*d**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 99243.\nAnswer: 3, 11027","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -45877, -46367, -47699, -50293, -54569?\n\"Answer: -70*n**3 - n**2 + 3*n - 45809","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l be ((-3)\/(-2))\/(15\/20). Let p be (0 - 1)\/(17\/l). Let c(y) = 99*y + 104. Let o be c(-1). What is the second smallest value in p, -3, o, -0.4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) = -5956*p**2 - 6*p - 51. Let o be b(-4). Let r = 166886 + o. Is r composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) = 4*c + 3. Let v(x) = -x**3 + 5*x**2 + 5*x + 4. Let g be v(6). Let f = -15 + 6. Let b(u) = -3*u - 5*u - 3 - 10 - 9*u. Determine f*j(a) + g*b(a).\nAnswer: -2*a - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) = -f**2 - 5*f + 2. Let u(s) = -s. Let p be (0 + 3\/5)*-5. Suppose 2*g + 13 = 3*y, y - 17 = -12. What is g*o(i) + p*u(i)?\nAnswer: -i**2 - 2*i + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence jsr when three letters picked without replacement from eerrerjrjerjjjrerrrs?\nAnswer: 1\/152","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from mrmmmmmm. What is prob of sequence rm?\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -16*j = -8*j - 24 for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 8115670 to the nearest integer?\nAnswer: 2849","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 13267 to the nearest integer?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-15)\/(-35) - (-6)\/(-14). Solve 3*x = -3*r + 1 + 2, r - 5*x + 17 = j for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 44503469 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 464454, 929193, 1393932, 1858671, 2323410, 2788149?\nAnswer: 3252888","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 55a + -17?\nAnswer: 543","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -3469 - -3484. Solve -4 = -m + 2*b + 4, -b = 5*m + n for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -1 or 15\/242?\nAnswer: 15\/242","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 10\/(-8) - (-2706)\/8. Let z = f - 93. What are the prime factors of z?\nAnswer: 2, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 10 - 7. Let a(t) = -12*t**2 - 9*t. Let s be a(-2). Let o(y) = -y**3 - 32*y**2 - 59*y + 34. Let i be o(s). Solve -i = -f*g - 19 for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 4021080?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-17 + 2*p**2 + 23 - 24*p - 7)*(4 - 4 + 2*p**2)*(1 + 0 - 5).\nAnswer: -16*p**4 + 192*p**3 + 8*p**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 v and 2 j when three letters picked without replacement from vvyjkvjjvcvvkvkvvk?\nAnswer: 9\/272","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 32 = 13*j + 3*j for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 19\/8029 and -57\/407.\nAnswer: 88319","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = -3*f - 7. Let z(h) = -4*h. Let i be z(f). Suppose -5*o = 4*b - 475, 8*b = 5*o + i*b - 515. Is 11 a factor of o?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (2 - 4) + -2 + (-40 - -44)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -3 - 44\/(-52) - (3 + -5).\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -95 times -774\nAnswer: 73530","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0 + (0 - -6 - (4 - 0))?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-74 - -72) + (62 - (-6 - -3)) + 4?\nAnswer: 67","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -765992, -1532017, -2298074, -3064169, -3830308?\nAnswer: -4596497","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 15439 is divided by 7460?\nAnswer: 519","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 5261 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + -2 + sqrt(2057) - (sqrt(272) + 0 - (-4 + (sqrt(68)\/sqrt(4) - sqrt(17)))).\nAnswer: -10 + 7*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {z: 3, c: 7, n: 4}. Give prob of sequence czn.\nAnswer: 1\/26","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -s - z = 3*s + 693, 3*z = 9. Let g = s + 617. Is g a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in 927.2397 nanometers?\nAnswer: 0.00009272397","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 1565644 + 4562?\nAnswer: 1572426","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 20\/(-6)*36\/30\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 f and 1 a when two letters picked without replacement from baabafaanbaaafaanbaa.\nAnswer: 12\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -k + 5*b + 26866, -3522 = 2*k + 3*b - 57241. Is k a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 17\/42 and 26\/33.\nAnswer: 462","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 566387 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4.02263 hours to microseconds.\nAnswer: 14481468000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 1839514 to the power of 1\/6, to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Divide -27331 by 9.\nAnswer: -27331\/9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 681 minutes after 3:55 PM?\nAnswer: 3:16 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) = -q**2 - 1. Let y(j) = -4*j + 0*j + 2*j**2 + j**2 + 0*j + 5. Let m(g) = 2*r(g) + y(g). What are the prime factors of m(5)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) = -k. Let i be o(-4). Suppose 3*q - 3*w - 99 = 0, 3*q + i*w - 61 = 3. Suppose -3*t - 2*g = -t - q, 4 = -g. What are the prime factors of t?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (16 - 15)*(4 - 2). Is ((-14564)\/(-6))\/l + 10\/(-15) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 122 is divided by 41.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose r - 3*i = 533, 2*r = 4*i + 320 + 740. What is the tens digit of r?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 2\/(-18) + 682\/792. Factor 3\/2*b**4 - a*b + 0 - 3\/2*b**2 + 3\/4*b**5 + 0*b**3.\nAnswer: 3*b*(b - 1)*(b + 1)**3\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1862867 (base 9) to base 14\nAnswer: -1d2d70","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-408 - -383) + -1 + -5.\nAnswer: -31","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 40908.18561 + -40935.23. Let g = 0.05439 + c. Let z = g + -0.01. Which is smaller: z or 0?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5 a factor of 167412?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 h and 2 r when four letters picked without replacement from {k: 1, h: 6, r: 3, w: 3}.\nAnswer: 9\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -101029, -202045, -303047, -404035?\n\"Answer: 7*f**2 - 101037*f + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 7376613991 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -5, -13, 4, 2\/821?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -2443 - -2449. Which is the second biggest value? (a) 5 (b) -1\/4 (c) f\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 14 divide 453?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -61 = -12*j + 73 + 94 for j.\nAnswer: 19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, 76, 16, -3\/4, 1\/12 in decreasing order.\nAnswer: 76, 16, 1\/12, 0, -3\/4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*t - 3 = 3. Let l be 55 + (t\/2 + -3 - -5). Suppose 8 - l = -5*w. Solve 3*g + 2*g = -w for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: (8 - 12)\/((-1 - 1)*-1)\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*q = -4 + 10. Suppose j - q*j = -16. Let x = j + 7. Does 9 divide x?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-4)\/(-18) + (-2)\/9 + 0. Which is greater: l or -2\/163?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*f**3 - 2 - f**3 + 61 - 99.\nAnswer: 3*f**3 - 40","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -12148 divided by -4?\nAnswer: 3037","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -677041838*g**2 + 9*g**3 + 677041838*g**2.\nAnswer: 9*g**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-8)\/16*(-2 - 0). Solve f = a - 2 for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence hfy when three letters picked without replacement from hkuhify?\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -337 - -360. Calculate the remainder when 39 is divided by g.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-4)\/(-3) + (-2)\/(-6). Which is smaller: 3 or b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 4.549 + 0.051. Let m = 5.1 - k. What is the closest to -3 in -3, m, 2?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {a: 1, z: 1, c: 1, i: 1, s: 1, u: 2}. What is prob of picking 1 c, 1 s, and 2 u?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) = x**3 - 4*x**2 + x - 4. Let a be s(5). What are the prime factors of 4\/a - (-768)\/78?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 24.49 (b) -3\/2 (c) 0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) be the second derivative of 10747*o**3\/6 - 3731*o. Let g(x) = -2*x**2. What is g(y(r))?\nAnswer: -230996018*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 542\/63 - 80\/9. Which is the smallest value? (a) h (b) 2\/3 (c) -16\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:57 PM and 7:53 AM?\nAnswer: 596","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -20? (a) 5 (b) 0.5 (c) -5 (d) 1\/12\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 41572 is divided by 375?\nAnswer: 322","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/60 of a hour in seconds?\nAnswer: 60","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) = -i - 17. Let l be k(-21). Let t(c) be the third derivative of -7\/60*c**5 - 4\/3*c**3 + 1\/4*c**l + 0*c + 1\/120*c**6 + 0 - 23*c**2. Determine t(6).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 188, 795, 1808, 3221, 5028, 7223, 9800?\nAnswer: 12753","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 27\/12*24\/9. Suppose 3*r - j = v, 0*v - r + 10 = -v. Let p(s) = s**2 + 8*s - 8. Is p(v) a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 477331759?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {l: 2, y: 1, p: 1, u: 3, z: 3, k: 1}. Give prob of picking 1 y and 1 u.\nAnswer: 3\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 3282 to the power of 1\/6, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -1\/4, 10229\/12, -5, -0.4, 0.04?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 831 and 1038.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1887 = -4*d + d + 14*h - 2050, 4*d + h = -1 for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (7\/(-4))\/((-8281)\/338).\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -21134 + 2360 - 20661 = -11*z. What is the thousands digit of z?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1907121971 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of g**3*h - 3634*g**2*h + 3*g*h + g + 21*h + 385 wrt g?\nAnswer: 3*g**2*h - 7268*g*h + 3*h + 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -11*o**3 + 2*o**3 + 12*o**3 - 4*o**3 + 3*o**3 - 4*o**3 - 481*o**2.\nAnswer: -2*o**3 - 481*o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1333?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -578250, -1156497, -1734744, -2312991?\nAnswer: -2891238","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_test"},"subset":"dm_maths"} +{"text":"Question: Let r(j) = 4*j - 13. Let q be r(7). Let m = 18 - q. Suppose 3*s + 5*n - 2*n = 3, 0 = -m*n - 9. Solve 3*g + s = 19 for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-5 - ((-133)\/6 - -3)) + (-7)\/42. Solve 0 = -5*b + 4*v - 40, -9*b - 3*v + 35 = -u*b for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (1 - 4 + 4 - w)*(0 - 2*w + 0)*(-2 + 2 + 3) in the form g*w**2 + d + k*w and give d.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -21 - -24. Suppose 4*b - 9 = y. Solve -3*j = -0*j - b for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) = -3*j + 4. Let v(a) = -2 - 2*a + 3 - 8*a + 5*a. Let i(u) = u. Let c(p) = 4*i(p) + v(p). Let w be 3\/2*(-4)\/6. Determine w*l(s) + 4*c(s).\nAnswer: -s","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -r + r + 0*r - 2 - 65*r**3.\nAnswer: -65*r**3 - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*(-1 + -2 + sqrt(612))**2.\nAnswer: -1863 + 108*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 74.7259 rounded to the nearest ten?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*g**2\/9 - 254*g\/9 + 7844\/9 = 0.\nAnswer: 53, 74","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 1380004802 a multiple of 41?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) be the first derivative of -157*w**6\/6 - w**4\/4 - w**3\/3 - 3861*w**2\/2 - 7773. Find the second derivative of j(t) wrt t.\nAnswer: -3140*t**3 - 6*t - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -101, -103, -105, -107, -109?\n\"Answer: -2*p - 99","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 17 at most as big as -33?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -137\/54 and 67\/15.\nAnswer: 270","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2\/(-48)*(-19 + 17 + 6 + -6)?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 0.07894 times -180\nAnswer: -14.2092","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 6 + 1. Let m = -33 + y. Let o = m + 18.4. What is o rounded to 0 dps?\nAnswer: -8","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 7 + -6. Calculate the remainder when 13 is divided by -2 + n + 7 + 1.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) be the second derivative of z**6\/90 + z**5\/120 + z**4\/24 + z**3 + z. Let f(n) be the second derivative of m(n). Is f(-2) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 306 to the power of 1\/9, to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -26*v + 21*v - 10 = 0 for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {x: 1, d: 1, v: 2, c: 2}. What is prob of sequence ccvx?\nAnswer: 1\/90","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) = -b**2 - 7*b - 6. Suppose 4*f - 36 = -0*d + 4*d, -2*d - 3*f = -2. Is p(d) a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 0.55 (b) -0.1 (c) -1\/14\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) = 2*o + 7. Let q be w(-3). Let t(x) = 5*x - 2. Let z be t(q). Find the third derivative of a**2 - z*a**2 - a**3 - 2*a**3 - 3*a**2 wrt a.\nAnswer: -18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-k**3 + 2*k - 4*k - k**3)*(2746*k - 375394 + 375394) to p*k**2 + b*k**4 + q*k + g*k**3 + c and give p.\nAnswer: -5492","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 465*m**3*p**3 + 1711297*m**3*p**2 + 2*m**3*p - 8*m**3 + 6*m*p + 495818*p**6 wrt p?\nAnswer: 2790*m**3 + 59498160*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -67\/24525 and -81\/112090150?\nAnswer: 1008811350","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -10001 - -1000100?\nAnswer: 110011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 257486\/27 at least as big as 9536?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -3, 1\/3, 4, -0.1, 0.4?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -3\/20 or 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) = -5*b - 15. Let d(u) = -11*u - 30. Let m(o) = -2*d(o) + 5*r(o). Let n be m(-8). Suppose -n*j = -10*j + 56. Are j and 56 nonequal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence um when two letters picked without replacement from umuymmum?\nAnswer: 3\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 15200 and 6808700?\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 117\/4*(-24)\/9 + 14 + 10\/2\nAnswer: -59","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 92.7 - 97.7. Suppose 20 = 4*a - 16. Let k = -9 + a. Is r at least as big as k?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) = 3*d**2 - 41*d + 41. Suppose 8*a + 23*a - 992 = 0. Is g(a) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -164*s + 264*s - 96*s + 20*s**2.\nAnswer: 20*s**2 + 4*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -113 - -175. Suppose 278*v - 854*v = -107136. What is the greatest common divisor of y and v?\nAnswer: 62","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 101 - 0?\nAnswer: 101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 68 = 2*g - 16. Calculate the remainder when g is divided by (-4)\/8*(-24 + 2).\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 7d - -33?\nAnswer: b1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 0\/48*(-1)\/2.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put -7, 2, 1, 4, 8 in ascending order.\nAnswer: -7, 1, 2, 4, 8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) = p**2. Let r(d) = 7*d**3 + 2*d**2 + d + 1. Calculate 2*q(y) - r(y).\nAnswer: -7*y**3 - y - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q\/(q**(3\/4)\/q))**(-14)\/(q**(2\/5)\/q**1) assuming q is positive.\nAnswer: q**(-169\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*j + 9*h = 10*h - 405, 2*j - 185 = -5*h. Let l be 0\/(-1*2\/(-2)). Suppose 2*z - j - 54 = l. List the prime factors of z.\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -7*g**2 + 28 - 522*g - 52 + 3*g**2 + 26 + 0*g**2 as j*g**2 + w + y*g and give y.\nAnswer: -522","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3*o**3 + 16*o**2 + 0*o + 2*o - 14*o**2 to the form h*o**2 + f + i*o**3 + k*o and give k.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -58.4964 + 0.6664. Let j = -5.67 + u. What is j rounded to zero dps?\nAnswer: -64","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in -16560, -1, -0.3?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 370 or -924?\nAnswer: 370","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) be the first derivative of 2*s**3 - 2*s**2 + 56*s - 23. Is 34 a factor of c(8)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.34 * -78\nAnswer: 26.52","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 8 - -6. Let k be 1*(-7)\/(21\/(-9)). Suppose -b + 2*z = 1, -2*b - k*z - z = -22. Solve -b*f + g + 11 = 0 for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 6*o - o - 2215. Suppose -4*z + o = 3*c, 3*c - 272 = -2*z - 49. What is the tens digit of z?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (1\/(-3))\/((-6)\/36). Suppose -3*k = -5*t - 21, 6*k - 54 = 2*k - q*t. Suppose -16 = -j + 4*s, k = 3*j - 6*s + 3*s. Solve j = -5*d + 7 + 3 for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, -5, -4, 3765 in decreasing order.\nAnswer: 3765, -1, -4, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1\/39830 or -22?\nAnswer: -22","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 52 - 59. Let h = -2.7 - 4.3. Let a = k - h. Put -0.2, -3\/8, a, -4 in descending order.\nAnswer: a, -0.2, -3\/8, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) be the second derivative of -1\/16*o**4 + 0 + 1\/24*o**3 + 0*o**2 - o. Factor d(r).\nAnswer: -r*(3*r - 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, -63846, 53 in decreasing order.\nAnswer: 53, -2, -63846","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 - (-45 + -53 + 77)?\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 1 - ((0 - 0) + (-5 - -8))\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -8 + 9 - 24 - -4.\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 350275*h**5 - 23*h**3 + 15546361*h**2.\nAnswer: 21016500*h**2 - 138","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) = 2*p**3 + 9*p**2 + 374*p + 1823. What is g(-5)?\nAnswer: -72","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -a + 5*h = -150, -9*a + 19*a = 5*a + 3*h + 90 for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3047*h + 496495 = -1882*h - 187*h - 102077 for h.\nAnswer: -117","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 39 - (-3 + 5 - 2). Suppose 0 = -5*f + t + 126. Let l be (-11)\/(2*3\/(-12)). What is the highest common divisor of l and f?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) = -o**2 + 7*o - 33. Give w(11).\nAnswer: -77","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 565059*p**2 + 114342*p?\nAnswer: 1130118","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 471 - 399. What is the remainder when 431 is divided by g?\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) = -u**2 - 9*u + 4. Let n be r(-10). Let q = 9 + n. Solve 16 = a + q*a for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -43\/108073274 and -93\/32891866.\nAnswer: 756512918","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) = -y**3 + 5. Let q be g(0). Suppose 2*t + 8 = -n, -q*t + t = 8. Is -2 at most n?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -15156640 rounded to the nearest one hundred thousand?\nAnswer: -15200000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in 345, -41, 6, -1\/2, 0, 1\/4?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1088 is divided by 364?\nAnswer: 360","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*m - 50 = 61 - 119, -5*m + 7 = 3*r for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((2*sqrt(1539)*-1*3)**2 + ((sqrt(1539) + 1 + 5 - sqrt(1539)) + 3)**2 + -5)*-3 + -4.\nAnswer: -166444","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(245) + sqrt(245) + (sqrt(245) - (3 + sqrt(245))*-4) - (-5 + sqrt(80) + -1))*-1)**2.\nAnswer: 1620*sqrt(5) + 10449","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is five sixths of a day in minutes?\nAnswer: 1200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -19\/9963 and 31\/2214?\nAnswer: 19926","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1393?\nAnswer: 7, 199","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Put 39, -5, 1, 19, 0 in descending order.\nAnswer: 39, 19, 1, 0, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*q**3 + 3*q**2 + 5*q**4 - 8*q**2 - 7*q**5 + 2*q**5 + 0*q**4 = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 113418088.\nAnswer: 2, 7, 31, 79, 827","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -26? (a) 255\/67 (b) -8 (c) 5.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 2158 and 52?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 584\/2547 - 2\/283. What is the third smallest value in 2, m, 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 13 * -10270.\nAnswer: -133510","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Express 47 - 38*t - 47 + 5*t + 10*t + 15*t + (4 - 4 + 2*t)*(0 - 2 + 1) - t + 2*t + 0*t in the form i + m*t and give m.\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) = 19*s - 10. Let x(i) = 23*i - 12. Let l(j) = -6*r(j) + 5*x(j). Let n(b) = b**2 + 17*b. Let z(m) = -3*m. Let t(p) = -6*n(p) - 34*z(p). What is t(l(o))?\nAnswer: -6*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) = -35*c**2. Let l = -39 + 41. Let z(s) = s**2 - 3*s**2 - s**l + 3*s**2 - 2*s**2. What is z(b(r))?\nAnswer: -2450*r**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*w = 6*w + x - 9, -4*w + 2*x + 2 = 0. Solve 2*o - 6 = w*g, -o + 5 = 3*g - 6 for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) = -g**2 - 7*g - 7. Let a(y) = -y**3 - 6*y**2 - 4*y - 29. Let z be a(-6). Let q be u(z). Solve 0 = -2*p - 2*p + q*l - 1, l = -2*p + 7 for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) = -27*j**3 - 2*j**2 + 3*j + 3. Let r(q) = 53*q**3 + 4*q**2 - 6*q - 7. What is -2*r(a) - 5*x(a)?\nAnswer: 29*a**3 + 2*a**2 - 3*a - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 1\/148 less than or equal to -545?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) be the third derivative of 0*p - 7\/15*p**5 + 4\/3*p**4 + 32\/3*p**3 + 1\/30*p**6 - 12*p**2 + 0. Suppose i(h) = 0. What is h?\nAnswer: -1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:51 AM and 3:30 PM?\nAnswer: 699","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 + 3 + 0)*(-13 - 52 + 65 - 6323*c)*((1 + 0 - 2)*(-2*c**4 + 5*c**3 - 5*c**3) + 2*c**4 + c**2 - c**2).\nAnswer: 25292*c**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*g - 22 = 24*g + 220 for g.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 5550, 11098, 16646, 22194?\n\"Answer: 5548*b + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) = -6*b**2 - 3. Let s be g(1). Let j(d) = -d**2 - 9*d - 5. Let n(l) be the second derivative of -l**3\/3 - l**2\/2 - l. What is s*n(y) + 2*j(y)?\nAnswer: -2*y**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) = -w**2. Let m(b) = -b**2 - 2. Let s(l) = 5*l**2 + 11. Let t(u) = 22*m(u) + 4*s(u). Determine t(g(c)).\nAnswer: -2*c**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 38 + -27. Solve p = -4*c - 5 for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 3\/5 or -40?\nAnswer: -40","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -98460248 divided by 2836.\nAnswer: -34718","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence nsr when three letters picked without replacement from nnrnsrnrunssnums?\nAnswer: 3\/140","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 5 - 2 - (-1 + 3). Let k = -7 + j. Let t = -2 - k. What is the units digit of t?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) be the third derivative of -m**4\/24 + m**3\/2 + 6*m**2. Let o(l) = l - 4. Calculate -5*j(z) - 4*o(z).\nAnswer: z + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Are -1723 and -1722 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) be the second derivative of 1619*y**5\/20 - y**4\/6 + 1423*y**2\/2 + 2989*y. What is the third derivative of u(k) wrt k?\nAnswer: 9714","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 151\/21756 and 49\/3447216?\nAnswer: 168913584","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 5 divided by 192\nAnswer: 5\/192","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 o and 1 u when two letters picked without replacement from {b: 1, u: 5, f: 1, o: 5, z: 3}?\nAnswer: 5\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) = 3431*p + 6836. Determine t(-2).\nAnswer: -26","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 155540387 to the nearest integer?\nAnswer: 538","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 23125622 to the nearest integer?\nAnswer: 4809","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 292442 divided by -1\nAnswer: -292442","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 16682.4906 - 16684. What is y rounded to 1 dp?\nAnswer: -1.5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) = -22379*o. Let d(j) = 20*j**2 - 3*j + 6. Give d(x(u)).\nAnswer: 10016392820*u**2 + 67137*u + 6","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*(((sqrt(18) - (sqrt(54)\/sqrt(3) + -1 - sqrt(18)) - (sqrt(18) + sqrt(36)\/sqrt(2) - sqrt(18))*-4)*6)**2 + 2)*-2.\nAnswer: 2160*sqrt(2) + 32476","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 13028*x - 11 - 202*x**2 - 13028*x to s*x**2 + p + f*x and give s.\nAnswer: -202","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -5 or -1121\/264?\nAnswer: -1121\/264","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: -3 (base 7) to base 11\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -242*t = -38*t + 157 - 2197 for t.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) = 3*s**3 + s**2 + s + 4. Determine q(-2).\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) be the first derivative of u**2\/2 - u + 13. Give j(7).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-i + 0*i - i)*(-3 + 1 + 1) - 103 - 4*i + 5*i + 53 in the form m*i + s and give m.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:45 PM and 6:49 PM?\nAnswer: 304","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*m + 35 = -0*m + z, 4*z = 5*m - 70. Let s be -1 + 114\/1143*m. Let g = s - 751\/4191. Sort -1, 1, g in descending order.\nAnswer: 1, g, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -0.029 (b) -0.6 (c) 2\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {k: 3, p: 1}. Give prob of sequence kpkk.\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (213 - 214)*(-3 + 0\/(-2)).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose d + 35 = -5*p - 3*d, 4*p + 7 = d. Let f be p\/(0 - 9)*-3. Let m be (-6)\/(-9) - (-13)\/3. Sort m, f, -5 in decreasing order.\nAnswer: m, f, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -0.5, -2, 2\/9?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) = r**2 + 5*r + 5. Suppose -5*k - 3*m = 19, 0 = -k + 3*m - 2*m - 7. Let a be t(k). Solve 2*c - 30 = 3*c + 5*s, -4*c + 5 = -a*s for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 8\/6*(-3)\/2. Let c be (-3)\/6*-4 + g. Solve c = -v - 2 - 3 for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {q: 3, z: 12, p: 5}. Give prob of sequence qqp.\nAnswer: 1\/228","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_test"},"subset":"dm_maths"} +{"text":"Question: (0 + (-8)\/18)*5220\/15080\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 22320400 divided by 5580100?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: -222 (base 3) to base 14\nAnswer: -1c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*q = 303748 + 150917. Let h = -320933 - q. What is h rounded to the nearest 100000?\nAnswer: -200000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from xoxcexcocc. What is prob of picking 2 x and 1 e?\nAnswer: 1\/40","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -896 - -928. Solve b*j - 6 = 35*j for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 16437 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Put together 12.773 and -1.361607.\nAnswer: 11.411393","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {l: 2, r: 1, q: 8, h: 1, i: 5, o: 3}. What is prob of picking 2 i?\nAnswer: 1\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -30*y - 9*y = -117 for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x**(-5)*x)\/x**(1\/4))**(-6)*(x**(-1\/3)\/x)**(-35)*(x**(-1))**(1\/82) assuming x is positive.\nAnswer: x**(8875\/123)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, -1566, -9 in ascending order.\nAnswer: -1566, -9, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 1 - -1*3*(-53)\/212\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.13 times -0.168555?\nAnswer: -0.02191215","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -3*q**3*y + 10*q**2*y**2 - 8*q*y**2 + 11*q wrt q?\nAnswer: -18*q*y + 20*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -0.5 - 0. Let j = 31\/75 + -1\/75. Sort -2, t, j in descending order.\nAnswer: j, t, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-1864)\/12*12\/(-8). Differentiate -5*v**3 - 4 + 233*v - j*v with respect to v.\nAnswer: -15*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (112 + 102 - 319*n - 214)*(-9 - 8 - 4)*(-2*n + 0*n + n) in the form g*n + x + m*n**2 and give m.\nAnswer: -6699","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 0.46 + -8.14. Let v = 0.234 - 8.234. Let u = n - v. Which is greater: 2\/7 or u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 6495758, 6495757, 6495756, 6495755, 6495754?\n\"Answer: -h + 6495759","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) = n**3 + 50. Let y be v(0). Suppose 4*u + 34 = 4*p - y, -3*p + 4*u + 62 = 0. What is the units digit of p?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-9)\/3)\/(6*5\/40)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (0*(-1)\/2)\/(-1). Let z be -7*((-5)\/7)\/((-7)\/(-14)). Let h = z + r. Is h a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 25 - 20. Let b(t) = 2*t**2 - 12*t + 17. Let v(l) = -l**2 + 6*l - 8. Let z(q) = -3*b(q) - 7*v(q). Let p be z(5). What is the nearest to p in -2, h, 1\/11?\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) = 3*v. Let o(b) be the third derivative of b**5\/60 + b**3\/3 + b**2. Let j(x) = -x**2 - 1. Let m(k) = 2*j(k) + o(k). Calculate i(m(s)).\nAnswer: -3*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Round 8423800 to the nearest one million.\nAnswer: 8000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 205585242?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*x + 10 = 3*b + 3*x - 19*x, -3*b + 3*x + 36 = 0 for b.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -1.4 + 1. Let g = 3.3 - 0.9. Let d = c + g. What is the closest to -2\/7 in -1, d, -2\/13?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 292, -1555, -4660, -9041, -14716?\nAnswer: -21703","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2323128, 10, 1 in increasing order.\nAnswer: 1, 10, 2323128","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -0.53 - 79.47. Let t = z - -87. Let h = 6 - t. Which is greater: 2\/55 or h?\nAnswer: 2\/55","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) = -p - 1. Let c(h) = 939 - 943 - 3*h + 2*h. Determine -c(y) + 4*w(y).\nAnswer: -3*y","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -0.2 - 0. Let o = 0.15 + -0.36. Let x = o - u. Round x to one decimal place.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 6 and 1767744?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 29\/2 of a milligram?\nAnswer: 14500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -23106 times 106.68?\nAnswer: -2464948.08","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sort 22, -2, 0, -12682 in decreasing order.\nAnswer: 22, 0, -2, -12682","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 29134?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 divided by 166.\nAnswer: 1\/166","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 21\/8 of a litre in millilitres?\nAnswer: 2625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 32*m - 3*m = 870. What is the highest common factor of 270 and m?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) = 7*b - 5. Let d(h) be the third derivative of h**4\/24 - h**3\/6 + 377*h**2. Give -4*d(y) + j(y).\nAnswer: 3*y - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -261 = -11*r + 36. Calculate the smallest common multiple of r and 75.\nAnswer: 675","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -1419662 + 1419673.00043. Let z = 11 - w. What is z rounded to 4 decimal places?\nAnswer: -0.0004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2? (a) 1\/11 (b) -5 (c) -880 (d) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) = -8250*m - 9000. Let y(n) = 4*n + 4. Let t(h) = s(h) + 2250*y(h). Let i(z) = 2*z**2. What is t(i(o))?\nAnswer: 1500*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 6*j - 90 + 60 for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 362\/(-9) - 2*(20\/(-480))\/(12\/32).\nAnswer: -40","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 6433 is divided by 264?\nAnswer: 97","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 320 and 91360.\nAnswer: 160","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 274103 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -13*f + 7*f - 2*f = -9*a - 7*f - 34, -5*f + 80 = 0 for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -3\/5575 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 11 + (6 + -1 - (8 - -27)).\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -215210*h**3 + 6*h - 4729 wrt h?\nAnswer: -1291260*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 7, 12, 1\/4, 38?\nAnswer: 7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 2451, 9871, 22241, 39567, 61855, 89111?\n\"Answer: z**3 + 2469*z**2 + 6*z - 25","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(57) + (sqrt(2793)*-2 - sqrt(57)))\/((sqrt(3) + sqrt(21)\/sqrt(7))*5) + 0.\nAnswer: -7*sqrt(19)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 21743 is divided by 725?\nAnswer: 718","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 11444753, 22889524, 34334295?\nAnswer: 45779066","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 21458.\nAnswer: 2, 10729","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) be the second derivative of m**5\/20 + 11*m**2\/2 - 2*m. Let q(n) be the first derivative of r(n). Let i(o) = 6*o. Calculate i(q(v)).\nAnswer: 18*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -85*a - 1484 + 1484 to x*a + h and give x.\nAnswer: -85","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b**(-1\/4))**2*b**(-5\/2)\/((b\/(b\/b**5))\/b) assuming b is positive.\nAnswer: b**(-7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 5304375 + 31?\nAnswer: 5304426","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) = -5*d + 6*d - 2*d + 10 - 1. Let i be f(6). Determine o, given that 3*o + i*o - 5*o - 4*o**4 - 3*o**2 + o**2 - 7*o**3 = 0.\nAnswer: -1, 0, 1\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*u = 5*a - 2*u + 6, 0 = 2*a - 4*u + 12. Suppose -15 = k - a*k. Is k composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 826445390.\nAnswer: 2, 5, 3001, 27539","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 572\/18 - 28\/(-126). Suppose 695 - 215 = v*c. What is the highest common divisor of 675 and c?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*w - 219 = 2*p + 3*p - 259, 12*p - 2*p = -4*w + 62 for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -633 = 8*c - 625 for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.2 + -3779.\nAnswer: -3779.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -15 - 6?\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) = -23 - 2*v + v + 5*v + 18. Let m be 70\/(-280)*(-7 - 1). Determine z(m).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be ((-48)\/64)\/((-6)\/4). Factor a*y**2 + 1\/2*y + 0.\nAnswer: y*(y + 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) = 3*i**2 + 5*i + 8. Let a = 84 + -73. Suppose 0 = 7*j + 6 + 22. Let d(g) = g**2 + 2*g + 3. Give a*d(m) + j*u(m).\nAnswer: -m**2 + 2*m + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*h = 143 + 28. Let z = 11 - h. What is the highest common factor of z and 17?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 15, 0.2, -3, -5, -4.87, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) = 11*c**2 - 10*c + 26. Let v(b) = 4*b**2 - 3*b + 9. Let l(s) = 3*n(s) - 8*v(s). Determine l(7).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.09 - 270.9650989.\nAnswer: -271.0550989","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -29*j + 72 - 72.\nAnswer: -29*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -0.8 + 0.3. Let z = -0.06 + 1.36. Let p = z - 1. Sort h, 4, p in increasing order.\nAnswer: h, p, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) be the first derivative of -o**4\/2 + 6*o**3 - 20*o**2 + 24*o + 54. Factor t(c).\nAnswer: -2*(c - 6)*(c - 2)*(c - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-44)\/121 + 660\/3146\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 4\/(-9)*(-21)\/70?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) = s**3 + 4*s**2 - 3*s + 15. Let q be r(-5). Let n(d) = -d + 17. Let k be n(20). Put k, 0, -5, q in ascending order.\nAnswer: -5, k, 0, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -p + 0 = 2. Let d be 1\/(5\/p + 2). List the prime factors of (1 - d)\/(2\/6).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -595698 take away 0.84559995?\nAnswer: -595698.84559995","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*h = 3*l + 75 - 87, 2*l - 9*h = 8 for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -10, -18, -28, -40, -54, -70, -88?\n\"Answer: -s**2 - 5*s - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) be the third derivative of -5753*v**8\/336 - 53*v**5\/60 - v**4\/8 - v**3\/3 - 11451*v**2. Find the third derivative of q(g) wrt g.\nAnswer: -345180*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -13 - -21. Suppose 0 = 121*v - 156*v + 1241 + 194. What is the remainder when v is divided by 122\/8 + (-2)\/w?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 8146 is divided by 49.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Express ((-1 + 5 - 3)*(-5 + 3 + 3) + 1 + 0 + 1)*(-6*x - 37*x**2 + 72*x**2 - 40*x**2) in the form k*x + v*x**2 + g and give g.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.1? (a) 2 (b) 4 (c) -1\/3 (d) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 7640 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) = 8*m + 12. Let x be g(2). Let q be 4\/30*-5 + x\/6. What is the second derivative of -153*f**4 - 151*f**4 + 286*f**q + 21*f wrt f?\nAnswer: -216*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*j + 2*m + 36 = 0, -236*j = -239*j + 4*m + 16 for j.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*u + 4 + 2. Suppose -6 = -u*w - 0*w. Suppose -4*v + 2*f + 28 = 0, 0 = -5*v - 0*f + 4*f + 32. Solve w*a = -a + v for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1086 is divided by 32?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 80 - 49. Let f = -36 + g. What is the third biggest value in -22, f, -0.4?\nAnswer: -22","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -18*l + 22*l + 4*u, 4*l + 36 = 5*u for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: -4 + (3 - (-3 - 2))\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) = 15*a**2. Let t(b) = b**2. Give t(n(l)).\nAnswer: 225*l**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 275.9942 rounded to the nearest integer?\nAnswer: 276","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5 - 3 - 4)*(-4 - 1 + 2)*(-6*m - m + 24*m)*(-166 + 166 + 13*m).\nAnswer: 1326*m**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*m - 0*m - 2*n - 2, -3*m - 3*n = 3. Let a(p) = 4*p + 0*p - 3*p + 4. Calculate the remainder when a(m) is divided by 2.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 128\/5 + -26. Let z(m) = -m**2 - 8*m + 5. Let i be z(-8). Let v be (4\/(-10))\/(3\/i). Which is bigger: v or k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 4\/27 (b) 2 (c) -1\/15 (d) 0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 901494 is divided by 1836.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Does 8 = 2.21?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*f = -8*f + 545. Let u = f + -6. Is 21 a factor of u?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -40 - -48. Suppose 26 = h*j - 22. Suppose 6*z**3 + 7 + 2*z**4 - 11 + 2*z**2 + 3*z**3 - j*z - 3*z**3 = 0. Calculate z.\nAnswer: -2, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.13557636 less than -0.0544176?\nAnswer: -0.18999396","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -8 + -1. Let p(a) = -a**3 - 9*a**2 + a + 10. Let n be p(l). What are the prime factors of 4 + n + 4\/(-2)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -3*n - 4 - 6 - 1 wrt n.\nAnswer: -3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) = -11*c**3 - 6*c**2 + 18*c + 51. Calculate v(-2).\nAnswer: 79","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify q*q**(-2)*q*(q\/((q**(2\/5)*q)\/q*q))\/q*q**(2\/23)\/q**(-3) assuming q is positive.\nAnswer: q**(194\/115)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -19239, -19235, -19229, -19221?\nAnswer: -19211","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2\/(-3)*(-1698)\/(-3962).\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 31 and 1.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 67064.84 rounded to the nearest one thousand?\nAnswer: 67000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 1597220?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.3, -1, 3, -0.109, -0.51 in decreasing order.\nAnswer: 3, 0.3, -0.109, -0.51, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Does 69 divide 13199869?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 4 - 4. Let r = -0.19 + 0.29. Which is the nearest to r? (a) 5\/6 (b) 3\/7 (c) i\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is c in -75*c**5 - 1360*c**4 + 1320*c**3 + 1550*c**2 - 1245*c - 190 = 0?\nAnswer: -19, -1, -2\/15, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -215\/9 + 166\/9. What is the common denominator of 19\/144 and z?\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*s - 4*k + 9 = -1, 4*k = 0. Suppose 20 = -s*l, -i + 127 = 5*l + 21. Calculate the greatest common factor of i and 14.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -192.5716 rounded to the nearest integer?\nAnswer: -193","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 = -r + 1. Let s = 37 + 66. Suppose -3*f + c + s = 0, -c - r*c = -2*f + 47. What is the units digit of f?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(19) + -1 + 1)**2 + 0 - (((2*sqrt(76))**2 - sqrt(19)) + 0).\nAnswer: -285 + sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 8700 and 1160?\nAnswer: 580","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 50502.\nAnswer: 2, 3, 19, 443","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1830995?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) = -46*f**2 + 139*f - 69. Let y(w) = -24*w**2 + 70*w - 35. Let o(a) = -6*u(a) + 11*y(a). Factor o(k).\nAnswer: (2*k - 1)*(6*k - 29)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) = 14*g - 27. Let v(w) = -7*w + 14. Let z(j) = 3*t(j) + 5*v(j). Differentiate z(s) wrt s.\nAnswer: 7","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + 3 - 3)*(9*y - y + 7*y).\nAnswer: 15*y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -611*b**2 + 208*b**2 + 157*b**2 + 168*b**2.\nAnswer: -78*b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2635.\nAnswer: 5, 17, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -9792 - -9796. Sort -2\/5, 2, 3, g, 18\/7 in descending order.\nAnswer: g, 3, 18\/7, 2, -2\/5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 46838, 46769, 46700, 46631, 46562?\nAnswer: 46493","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -18 + 22. Let z(s) = 5*s + 2. Let g be z(t). Let f = 25 - g. Solve -4*x = -x - f for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*(sqrt(119) - (-3*(sqrt(119) + sqrt(119) + -3*sqrt(119)) + sqrt(119))))\/(sqrt(14)\/(-2*sqrt(242) - sqrt(2))).\nAnswer: -345*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -5*q**6 + 4*q**3*v + q**2*v - 2*q**2 + 8*q wrt q?\nAnswer: -600*q**3 + 24*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0.0579 + 1.9421. Which is the second biggest value? (a) -1\/7 (b) -6 (c) g (d) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3451860?\nAnswer: 2, 3, 5, 127, 151","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 171 divided by 939?\nAnswer: 57\/313","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -148*810.\nAnswer: -119880","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -24a + 46?\nAnswer: -204","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.1 times -3.1694?\nAnswer: -0.31694","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -0.3 + -0.2. Suppose 2*j + 44 = 4*t, -j - 19 = -3*t + 4*t. Let n be 2\/28 - (-10)\/j. Which is the third smallest value? (a) n (b) -6\/7 (c) k\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 907530 and 2860?\nAnswer: 19965660","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -5*d*i*n*z - d*i*z**2 + 7*d*n - d*z**2 - 6*i*n*z**2 + 372*i - z wrt n?\nAnswer: -5*d*i*z + 7*d - 6*i*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -88225, -176396, -264545, -352666, -440753, -528800?\nAnswer: -616801","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of (20\/(-28))\/((-168)\/49) and 53\/21.\nAnswer: 168","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 6\/11? (a) 20 (b) -29 (c) -0.319\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 8*r - 12*r + 12 for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*o**4 - 7*o + 2*o + 2*o - 4*o**3 + 5*o**3 + 2*o**2 to w*o**4 + l*o**3 + n + z*o**2 + c*o and give z.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 14 + 31?\nAnswer: 45","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 7142341 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 19 - 13. Suppose -c + p + 5 = -l*c, 0 = 2*c + 3*p - 11. What is the units digit of c\/(48\/(-15) - -3)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 8*k**2 - 20*k**2 + 7*k**2.\nAnswer: -5*k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*u + 5*i + 40 = 0, -14 + 3 = -3*u - i. Let t = 141 + -138. Solve -t*v + u = x, -3 = -5*x - 5*v + 22 for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 973806620?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 8818.\nAnswer: 2, 4409","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) be the first derivative of 5\/3*c**3 + 1\/4*c**4 + 6*c + 3\/2*c**2 - 6. Calculate the remainder when 29 is divided by t(-4).\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -26*w**4 - 5*w**4 + w**4 + (-5*w**2 + 0*w**2 + 3*w**2)*(0*w**2 + 2*w**2 - 3*w**2) + w**4 + 0*w**4 + 0*w**4 + (5*w + 0*w - 2*w)*(-3*w**3 - w**2 + w**2).\nAnswer: -36*w**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3 divided by 1234410.\nAnswer: -1\/411470","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*k = 4*k - 5*a, 3*k - 4*a = 55. Is k a multiple of 2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 4 * -78130.62\nAnswer: -312522.48","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 30541 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -4000 - 3?\nAnswer: -4003","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -79\/298 and -57\/26.\nAnswer: 3874","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Factor 432*k + 830239*k**5 - 47*k**3 - 18*k**4 + 11*k**3 - 14*k**4 - 830235*k**5 + 432*k**2.\nAnswer: 4*k*(k - 6)**2*(k + 1)*(k + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many weeks are there in 660913.344ns?\nAnswer: 0.00000000109278","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-18)\/(-14) + -1 + (-111)\/21?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 0.1 + 0. Let q = 6\/55 + 1\/11. Let x = 0.7 + -0.8. What is the second biggest value in c, q, x?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 77 (base 16) to base 8\nAnswer: 167","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round -56079306 to the nearest 100000.\nAnswer: -56100000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -83*c*d*j*x**3 - 2*c*d*j*x - 12835*c*x**3 - 1644*c*x**2 + d*j*x**2 + 112*d*j*x - d*x**3 + d*x**2 wrt x.\nAnswer: -498*c*d*j - 77010*c - 6*d","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve t = 2*h + 21, 624*t - 625*t + 16 = -h for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -273 - 18?\nAnswer: -28b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) = -p. Let z(c) = -2*c. Let f(q) = -12*s(q) + 5*z(q). Let m(w) = 4*w**2 + 0*w**2 - 2*w**2. What is f(m(v))?\nAnswer: 4*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 256, -6, 0, -0.9.\nAnswer: -6, -1, -0.9, 0, 256","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 445*d**3*j**2 + 31*d**3*j + 5*d*j wrt j?\nAnswer: 890*d**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 23310 + -23363. Which is the second biggest value? (a) y (b) 0.5 (c) 0.34\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 1.3 - 0.3. What is the second biggest value in 3, f, -0.05?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*i + 2*o + 1 = 3, 8 = 2*o. Let t(u) be the first derivative of -i*u - 1\/2*u**2 + 2. What is the derivative of t(q) wrt q?\nAnswer: -1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 11.9044039 to two decimal places.\nAnswer: 11.9","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*i - 2*s + 2 = 0, -17*s = -3*i - 12*s + 47. What is the nearest to -2\/7 in i, 1\/26, 5\/3, 0.4?\nAnswer: 1\/26","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2.15 less than 27889?\nAnswer: 27891.15","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: ((19136\/322)\/(-26))\/(1 - 18\/21)\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 6 - (-10 + 13) - 1\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 12 divide 48192?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let 5*v**3 - 325*v**2 - 15390*v - 142560 = 0. Calculate v.\nAnswer: -18, -16, 99","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 2042484 to the nearest integer?\nAnswer: 1429","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence qqq when three letters picked without replacement from qfqlq?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 44495?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 126008\/(-10) - (-36)\/45. Round g to the nearest one thousand.\nAnswer: -13000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -3 - 31 - (84 + -98)\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 1\/27 - (-77778)\/(-7047)\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h*h*h\/(h**(4\/3)*h)*h)**(-2\/41) assuming h is positive.\nAnswer: h**(-10\/123)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 142807 is divided by 855.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-5)\/56 - ((-6)\/(-21))\/1. Let u = 1.02 - 0.02. Do n and u have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 3713?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from qmqmmmmmqoqvmmpt. What is prob of sequence qmo?\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*t - 11 = -m - 20, 3*t + 2*m - 4 = 0 for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {s: 1, b: 2, v: 11}. What is prob of picking 4 v?\nAnswer: 30\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*o + 5 = 4*n - 15, -20 = 3*o - 4*n. Suppose o = 5*j - 20, -3*g - j - j + 29 = 0. Let h = -7 - -12. Solve 17 = -d - h*u, g*u = -5*d + 2*u - 25 for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -9, 21, -2, 3 in increasing order.\nAnswer: -9, -2, 3, 21","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) = 2*n**3 + 10*n**2 - 5*n + 7. Let m(r) = -3*r**3 - 19*r**2 + 9*r - 15. Let c(l) = 3*m(l) + 5*x(l). Let d be c(7). Solve 0 = -d*y + 4 for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) = r**3 - 115*r**2 + 136*r - 1416. Determine j(114).\nAnswer: 1092","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) = 3*r**2 - 7*r + 3. Let i(y) = -y**3 - 15*y**2 - 23*y + 10. Let l be i(-2). Let j(x) = 2*x**2 - 6*x + 2. What is l*g(d) - 5*j(d)?\nAnswer: 2*d**2 + 2*d + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: -4339 + 4348 + 44\/4\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -15 - -10. Let w = 5 + q. Let o = w - -1. Which is the closest to o? (a) -0.3 (b) 5 (c) 3\/8\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 20 + (2 + -39 - -42)?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -317 - -53.41749048071.\nAnswer: -263.58250951929","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = 4*i - 2*i + x, x = 0. Let y be (-20)\/175 + i\/7. Which is the second biggest value? (a) y (b) -4 (c) -2\/11\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -338.242 + 338. Let l = z + 0.792. Is 2\/7 less than l?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 23 + -807.\nAnswer: -784","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -70*k + 70*k + 24*k**6 - 17*k**2 wrt k.\nAnswer: 2880*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000000011495318 to 7 decimal places.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 5*f**5 + 4*f**4 - 9*f**2 + 0*f**2 - 4*f**4 wrt f?\nAnswer: 300*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 8.45 + -40.55. Which is greater: h or -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 144\/1386 - 4\/14.\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) = 28*m**2. Let o(q) = -189*q. Let a(i) = -5*i. Let f(v) = -77*a(v) + 2*o(v). Calculate d(f(c)).\nAnswer: 1372*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 67 minutes before 10:10 PM?\nAnswer: 9:03 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 386 minutes after 7:53 AM?\nAnswer: 2:19 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve n + 2*o - 4 = 0, 5*n + 4 = 3*o + 24 for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.1? (a) 1\/5 (b) 36183 (c) 3 (d) 2277 (e) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-2)\/7 - (-71268)\/112728. Let u = p - -26\/61. What is the common denominator of -57\/14 and u?\nAnswer: 154","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 98\/(-1225) - 16\/425. Which is the third biggest value? (a) t (b) 0.2 (c) -2 (d) 0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-11 - (-81)\/7)\/(-4 - (-78)\/72*4)?\nAnswer: 12\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 24646157?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 a, 1 k, and 2 o when four letters picked without replacement from bokskasosuks.\nAnswer: 1\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, -121, 1, 3832 in descending order.\nAnswer: 3832, 1, -4, -121","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 1221*r**3 + 15905?\nAnswer: 3663*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 - 1 - 5)*(-15*a + 9*a - 9*a)*(0 - 1 + 3).\nAnswer: 60*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 10 and 173627372.\nAnswer: 868136860","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -11 - -21. Suppose y = -6*x + 8*x. Solve 0 = -2*a + 4*i - 16, -4*a - 1 = 4*i - x for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence nt when two letters picked without replacement from {q: 1, l: 2, r: 1, n: 1, t: 1, d: 1}?\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 m and 2 d when four letters picked without replacement from mfmdmmmfffddm.\nAnswer: 9\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 495?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 81567 (base 14) to base 4\nAnswer: 1023331213","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -10 + 12. Suppose 0 = 2*r - j - 43, -5*r = -l*r - 3*j - 66. List the prime factors of r.\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-5 - 76\/(-16))*(-1680)\/28\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -74*k + 139*k - 3*k**2 - 11*k**2 - 5*k**2 - 65*k.\nAnswer: -19*k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) = -t**3 + 10*t**2 + 3*t + 18. List the prime factors of c(9).\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) = u**2 - 12*u - 3. Let d be c(9). Let n be (8\/10)\/((-26)\/d + -1). Let s be 1\/7 + (40319871\/21 - n). Round s to the nearest one hundred thousand.\nAnswer: 1900000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 16 and 567376.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 638*g**3 - 53*g**4 - 2 + 489*g**2 - 636*g**3 + 0 + 0 wrt g?\nAnswer: -1272*g + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1.729? (a) -1 (b) -0.05 (c) -0.02 (d) 0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) = -5*w**3 + 3*w**2 + 7*w - 3. Let u be ((-2)\/(-4))\/(12\/(-72)). Let a(y) = 2*y**3 - y**2 - 3*y + 1. Calculate u*r(c) - 7*a(c).\nAnswer: c**3 - 2*c**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 241 - 218. Solve 3*s - 3 = -0*s, -k = 5*m - 3*s for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) be the second derivative of -469*c**3\/6 - 32*c**2 + 575*c. What is the first derivative of f(a) wrt a?\nAnswer: -469","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 59\/10 and 1\/(14\/472)*(-11)\/(-44).\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 5882300?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -687, -529, -243, 183, 761?\nAnswer: 1503","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 8.9 - 8.90000352. Round r to 7 decimal places.\nAnswer: -0.0000035","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-3)\/(-14)*460\/(-345) - ((-8688)\/(-56))\/3.\nAnswer: -52","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -280, -1126, -2538, -4516, -7060, -10170, -13846?\nAnswer: -18088","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 99\/238 and 39\/(-78) - (327\/(-153) - -2).\nAnswer: 714","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 157874 is divided by 132.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 215, 217, 211, 191, 151, 85, -13?\nAnswer: -149","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Are -3 and -19512 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Express (-3510*s + 1922 + 3592*s - 1986 - s**2)*(s - s - 2*s) in the form h*s**2 + g*s + y + t*s**3 and give t.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 12 a factor of 5520?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -568 divided by -4.\nAnswer: 142","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 2353 + -2485. What is the third biggest value in 0, n, -0.3?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 1010100000 + 10000101010?\nAnswer: 11011001010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 40707 and 1692.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (d**2 - 4*d**2 + 4*d**2)*(-2*d + 2 - 2) + 6566*d - 6566*d + 35*d**3.\nAnswer: 33*d**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) = 2*o**3 + 6*o**2 + 18*o - 52. Let h be f(2). What is the highest common divisor of 2436 and h?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:27 AM and 12:55 PM?\nAnswer: 88","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Put 341999, 2, -1 in decreasing order.\nAnswer: 341999, 2, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let 3*x**5 - 1794*x**4 + 136596*x**3 - 2980782*x**2 + 7761177*x = 0. What is x?\nAnswer: 0, 3, 41, 513","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 19300453?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 97 or 868\/9?\nAnswer: 97","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Work out 2.429426641 - 11.08.\nAnswer: -8.650573359","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) = d**3 - 4*d**2 + 2*d + 1. Let t be c(2). Let y be (-4)\/t - (-12)\/18. Let r be 2\/5 - 16\/(-10). Solve -o + r*m = y - 3, 1 = 2*o - 5*m for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) = 4378*s - 8. Let g(z) = 4377*z + 24. Let v(b) = -4*a(b) + 5*g(b). What is the derivative of v(o) wrt o?\nAnswer: 4373","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {x: 2, q: 2, u: 1, t: 1}. What is prob of picking 1 u and 1 q?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 799869491 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 3976250.7335 - 3977546. Let v = 1295 + z. Round v to 2 decimal places.\nAnswer: -0.27","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 50\/(-4) + 5 - (-90)\/60?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -4*x**2 + 32*x**4 - 5*x**2 - 5*x**4 wrt x.\nAnswer: 648*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 96983 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*f + 9 = -3*c, -3*f + 7 = -6*c + c. Sort -12, -1, 1, c in ascending order.\nAnswer: -12, c, -1, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*c - 3*c = 84. Suppose 82 = q - 0*q. Let m = c + q. Is m a multiple of 27?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1 + (-17)\/(-3))\/(1343\/(-153) - -9)?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify i\/(i*i*i\/(i\/(i\/i**(1\/4))))*i**(2\/15)*i*(i**(-2\/5)\/i)\/i**1 assuming i is positive.\nAnswer: i**(-181\/60)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) = 3*t + 2. Let w(q) = -q**2 - q. Suppose -344*p - 311*p = -655. Calculate p*z(a) - 2*w(a).\nAnswer: 2*a**2 + 5*a + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 7926?\nAnswer: 2, 3, 1321","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*o - 12 = -5*r, 3*r - 3*o - 4 = -2*o. Suppose 4*q + m + 13 = 0, 3*m + 9 = 3*q - 0*m. Is (3 - -36) + q + r a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) = 4*r**2 + 20*r. Let f(m) = m - 8. Let p(x) = 4. Let l(c) = f(c) + 2*p(c). Give 20*l(s) - v(s).\nAnswer: -4*s**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 3 - 4)*(3 - 1 - 1)*(4 + 0 - 1)*(-2 + 1 + 3)*(-2*d**4 + 2*d**4 - 4*d**4 + d**4 - d**4 + 2*d**4 + (-4*d - 2*d + 5*d)*(d**3 - d**3 + d**3)).\nAnswer: 18*d**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 861533, 861476, 861419, 861362?\nAnswer: 861305","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*i = w - 23, i + 2*i = -4*w + 161. What is the remainder when (-1 - w\/(-4))*2 is divided by 10?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 21 divide 315?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 261?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-28)\/(-20) - 1)*-10.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 2738860?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 21215193 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -20 - -21. Which is the third biggest value? (a) -0.3 (b) s (c) 0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) = -u**3 - 9*u**2 - 9*u - 2. Let w be n(-8). Suppose y = w*y, 3*s - y = 63. Calculate the greatest common factor of s and 14.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 157, 0, 0.33, 1 in increasing order.\nAnswer: 0, 0.33, 1, 157","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 4, 110, -4, 5, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-972)\/(-189)*63\/(-54)*-2?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-96)\/28)\/(-1 + 2 + 1).\nAnswer: -12\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -2 or 1607466?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many days are there in 7.9646841ns?\nAnswer: 0.00000000000009218384375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 40\/(-84)*(-24)\/(-20)?\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 26 (b) -4 (c) -1\/55\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) be the first derivative of o**4\/3 - 2*o**3\/9 + 8. Factor c(u).\nAnswer: 2*u**2*(2*u - 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 12*u**3 - 21897*u**2 + 103776*u - 65520 = 0. What is u?\nAnswer: 3\/4, 4, 1820","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) = 3*f + 8. Give l(-6).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) = -a**3 + 7*a**2 + a - 7. Give l(7).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*s + 4 = -4*o, 4*s + 5 = -s - 5*o. Let n be s + 4\/(10 - 2). Suppose -1 + n*r**2 + 1\/2*r = 0. What is r?\nAnswer: -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 94948 is divided by 372.\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-3)\/15 - 2*(-4)\/40. Suppose 2*y + 5*g = -23, k = 14*y - 10*y + 4*g + 16. Sort -3, -2, y in ascending order.\nAnswer: -3, -2, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 14.5200007 - 14.52. What is q rounded to seven dps?\nAnswer: 0.0000007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4 + (sqrt(18) + sqrt(18) + 3 + -5)*4 + 2 + -5)**2.\nAnswer: -336*sqrt(2) + 1201","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*a + 22 = 4*k, -80 = k + 3*a - 54 for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -143048547, -143048541, -143048531, -143048517?\nAnswer: -143048499","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 41 + 2 + (-27 + 15 + -1 - -15 - 7).\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in -0.4, -0.3, -2, 2\/9?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 919305192 to the power of 1\/10, to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is (5\/((-105)\/154))\/((-20)\/(-6))?\nAnswer: -11\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*sqrt(1000))\/(-4*sqrt(16)\/sqrt(2)) + (-1*-5*(sqrt(245) + sqrt(245) + -1))**2.\nAnswer: -2805*sqrt(5)\/4 + 24525","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*(sqrt(8)\/(sqrt(8)\/sqrt(2)) - sqrt(2))**2.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 89 = -2*r + o, -4*o + 222 = -5*r - o. Let s = r - -91\/2. Let g = 1.5 - 1.4. Which is bigger: g or s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -142*i + 145*i = 3*v - 39, -6*v + 89 = 5*i for v.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 744415439 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 11 and 188.\nAnswer: 2068","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 8\/10*325\/910\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 150*v**5*z - 175*v**3*z**2 - v**2*z**2 + 14*v**2 + 23*v wrt v?\nAnswer: 9000*v**2*z - 1050*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve h - 17 + 21 = 0 for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: (5 - 4) + (-15)\/63*3\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 4 (b) 43 (c) 0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1531\/7655)\/((-1)\/35)?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 2, -2, 5\/8 in increasing order.\nAnswer: -2, -1, 5\/8, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -7\/21182762 and 31\/332.\nAnswer: 42365524","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 26248 and 88.\nAnswer: 288728","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) = 30*t. List the prime factors of a(1).\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 9353?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) = r**2 - 9*r - 3. Let n be 16\/(-64)*(0 + -40). Let g be m(n). Calculate the highest common divisor of g and 1.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) = -2*p**2 - 12*p - 3. Let u be c(-2). Suppose r + u = z + 3*r, -z - r = -10. Calculate the greatest common factor of z and 28.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 290, 279, 258, 221, 162, 75, -46?\nAnswer: -207","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.14970742 to 5 decimal places.\nAnswer: 0.14971","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 2\/7 (b) 22 (c) 27\/8 (d) -942\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) = b + 14. Let o be m(-11). Suppose 0 = -2*v - o*v. Suppose 0*w + 4*w = 16. Solve v = -4*r + w - 12 for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) = -3*y. Let q(t) be the second derivative of -t**3\/3 + 37*t**2\/2 + 32*t. What is v(q(f))?\nAnswer: 6*f - 111","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 458 - 452. Suppose -h*t = -1467 - 2313. Is t a multiple of 21?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 680 minutes after 12:34 AM?\nAnswer: 11:54 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-y**3 - y**3 + 0*y**3)*(0*y**2 + y**2 + 0*y**2).\nAnswer: -2*y**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -56 = 4*f - 240. Suppose -2*o = 52 + f. Is (-1 - 1)\/(2\/o) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 198315110?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is (-21)\/14*((-736)\/48)\/23?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -49, -186, -419, -754, -1197, -1754, -2431, -3234?\n\"Answer: -o**3 - 42*o**2 - 4*o - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) = -1. Let f(j) = 4*j - 2. Suppose 5*u = u - 4. Give u*q(v) + f(v).\nAnswer: 4*v - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Express (-1 - 5*u + 6*u - 2*u**2 - 1)*(-u**2 - 7*u**2 - 2*u**2) in the form m + a*u**2 + z*u**4 + c*u + h*u**3 and give z.\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 11111 (base 2) to base 10\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -12460 or -12462?\nAnswer: -12462","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Add together -389574 and 5.\nAnswer: -389569","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -2\/9 or 5.75?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -89\/330 and 151\/1399350?\nAnswer: 15392850","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence rt when two letters picked without replacement from {m: 6, t: 1, r: 1, v: 6, q: 1}?\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:31 AM and 3:04 PM?\nAnswer: 573","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, 0, 9, -4.\nAnswer: -4, 0, 3, 9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:47 AM and 11:11 AM?\nAnswer: 624","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) be the second derivative of -27*k**4\/4 - 2887*k + 1. Let c(s) = -34*s**2. Calculate c(m(h)).\nAnswer: -223074*h**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -52 - -32. Let a = 38 + r. Is 5 a factor of a?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*h = -5*h for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 789 - 3?\nAnswer: 786","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 26406?\nAnswer: 2, 3, 163","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 g and 2 q when three letters picked without replacement from {g: 7, i: 2, q: 3}?\nAnswer: 21\/220","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 12583 is divided by 14.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) = -2*d**2 - 8*d - 24. Let h(c) = c**2 - c - 1. Let b(f) = 6*h(f) + n(f). What is the hundreds digit of b(13)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) = -c**3 - 185*c**2 - 3584*c - 663045. What is a(-185)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 22 and 18?\nAnswer: 198","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 452 a factor of 5058450?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-7)\/(42\/(-6)))\/(-1)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is (-2 - (-5 - -2)) + (-1 - 1)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) = 2*z**2 - 4*z - 1. Determine d(3).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Does 146 divide (-12)\/(-40)*-2 - (465311\/(-35) - -8)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(252)\/sqrt(4)*-4 + 6*sqrt(252))\/(sqrt(441) + (sqrt(441) - (sqrt(441)*2 + sqrt(441)) - sqrt(441)) + -2*sqrt(576)).\nAnswer: -4*sqrt(7)\/15","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1509 - 106 - 269)*(-1 + 3 - 6)*(s + 0 + 0).\nAnswer: -4536*s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Convert 27596.7ug to tonnes.\nAnswer: 0.0000000275967","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*d - 8 = -8*d. Suppose d*r - 6*r - 150 = -5*n, -4*r - 90 = -3*n. Solve 0 = -4*q + 5*w - n, -w - 1 = -3 for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) = -12*s**3 + 8*s**2 + 3*s - 2. Suppose 3*o = 3*q + 18, -3*o + 16 = 7. Let k(t) = -4*t**3 + 3*t**2 + t - 1. Determine q*f(d) + 8*k(d).\nAnswer: 4*d**3 - d - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -3715*u**3 + 2*u**2 + 1399 wrt u.\nAnswer: -22290","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -6709\/3 + 107623\/48. Calculate the common denominator of z and 89\/2.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 50701386 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: How many litres are there in 72.48437ml?\nAnswer: 0.07248437","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -0.5*-16\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*c + 16 = 0, 16 = -14*i - 6*i + 24*i + 3*c for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 1045 to the power of 1\/9, to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 7 - (8 - -1) - (4 - 3)\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*g = 2*m - 29712, 0 = 3*m + 4*g - 7*g - 44559. What is the tens digit of m?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 342 and 12.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 128*l = 130*l - 4*t - 4, 5*l + 1 = -t for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is (-10)\/(-35)*1 + 0?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 11\/(-30) - 161\/((-108675)\/(-90)).\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*t - 639*o + 638*o = 4, -32 = 8*t - 4*o for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + (-2*(sqrt(500) + sqrt(500)*-1))**2.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) = -12*b + 9. Let p(r) = 19*r - 14. What is 5*p(j) + 8*z(j)?\nAnswer: -j + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) = 7*k - 5. Let j(r) = 60*r - 42. Let t(p) = -42*d(p) + 5*j(p). Let w(i) = 4*i. What is -5*t(z) + 8*w(z)?\nAnswer: 2*z","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 8362, 16752, 25142?\nAnswer: 33532","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 13592106?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -898979, -898996, -899013, -899030, -899047?\n\"Answer: -17*o - 898962","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) = 762*d**2 - 2*d. Let r be j(-1). Let k = -714 + r. Calculate the lowest common multiple of k and 8.\nAnswer: 200","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + (3*sqrt(98)\/sqrt(2))\/sqrt(7) - ((sqrt(7) + 1 + -5 - sqrt(567)\/sqrt(9)) + 3).\nAnswer: 6 + 5*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence fi when two letters picked without replacement from iifiiissiiiifsi.\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + (sqrt(1573) - (-3*sqrt(1573)*-3 + sqrt(1573)))**2 - (1 + (sqrt(1573) - (sqrt(1573) + -1*sqrt(1573)*4)))**2.\nAnswer: -88*sqrt(13) + 102247","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v\/v**(1\/5))\/(v**(2\/13)*v))\/(v*v**0)**(7\/11)*(v*v**(-1\/2))\/v**(-1\/5)*v*v**(-2)*v*v**(-5) assuming v is positive.\nAnswer: v**(-1513\/286)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 225 a multiple of 75?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) = d**2 - 4*d. Let k = -16 - -13. Calculate the remainder when b(k) is divided by 12.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) = -3*b**3 + 3*b**2 - 5*b. Let f(x) be the second derivative of -x**5\/10 + x**4\/4 - 2*x**3\/3 - 466*x. What is 5*f(y) - 4*w(y)?\nAnswer: 2*y**3 + 3*y**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7*w**3 - 4*w**3 + 16*w**3.\nAnswer: 19*w**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -t - 5*j = -19, 4*t + t + j + 1 = 0. Is t != 4\/21?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -6 in -3\/10, 10626, 2?\nAnswer: -3\/10","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {q: 2, l: 7, z: 5, i: 4, x: 2}. Give prob of sequence zqiq.\nAnswer: 1\/2907","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -246*j**4 - 8355*j**3 + 4890664*j.\nAnswer: -2952*j**2 - 50130*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let o be -2*(0 + 1 - 2). Suppose -a + 4 - o = 0. Sort 5, a, 1 in decreasing order.\nAnswer: 5, a, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 101003 - 3?\nAnswer: 101000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2021 = 4*b - 331. Suppose 3*n + 2*z = 66 - 38, 4*z = n - 28. Calculate the highest common divisor of n and b.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -744517, -744458, -744399, -744340, -744281?\nAnswer: -744222","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -336.8 times 1.5?\nAnswer: -505.2","meta":{"dup_signals":{},"source":"arithmetic__mul_test"},"subset":"dm_maths"} +{"text":"Question: Let s(g) be the second derivative of 22*g**4\/3 + 169*g**3\/3 + g + 67. What is the second derivative of s(n) wrt n?\nAnswer: 176","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -3 in 3, -11, 78?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -215c (base 13) in base 7?\nAnswer: -16346","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*f - 12 = -2*f. Let o be (-6)\/(-39) + 41433\/156. Let h = 268 - o. Are f and h unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -73.0597 and -7?\nAnswer: 511.4179","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -v + 1 = 4. Suppose -3*j + i = -15, -j - 4*i = -0*j + 8. Let l = v + j. Solve 2*q + l = 3 for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) = 6*q**2 + 2*q - 3. What is x(-3)?\nAnswer: 45","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 2939786?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) be the first derivative of -62*q**5 + 172*q - 365. Differentiate x(z) wrt z.\nAnswer: -1240*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 610 minutes after 3:38 PM?\nAnswer: 1:48 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) = i**2. Let d(a) = 2*a**2 - 17*a - 9. Let v be d(9). Let x(m) = 0 + v - 29*m. Determine x(p(n)).\nAnswer: -29*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) = 16*l. Let s = 590 - 588. Let n(u) = 3*u**2 + 19*u**2 - 3*u**2 - 6*u**s. Determine t(n(h)).\nAnswer: 208*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -3826 + 9660?\nAnswer: 5b37","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (2 - 1) + 90\/(-84)*1?\nAnswer: -1\/14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 n and 1 j when two letters picked without replacement from xnfjqjf?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (104\/65 + -4)\/(0 + 2\/(-10))?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d*d**(9\/5))**30*d**26\/d*d*d**31\/d assuming d is positive.\nAnswer: d**140","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: ((-702)\/216)\/(2\/8 - 0)\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is x in x**2\/10 - 141*x\/10 - 17816\/5 = 0?\nAnswer: -131, 272","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in 701085.2mm?\nAnswer: 701085200000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-2)\/15*(3 - 12\/9). What is the second biggest value in 0.2, 0.1, q, -655?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 77 a factor of 639485?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 4470636?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1104 or -92845?\nAnswer: -92845","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 286 - 1711\/6. What is the nearest to -2 in -2, u, -15?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-2246 + 0 - 0) + 176 + -171. What is the tens digit of h\/(-12)*(-168)\/(-63)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0.2 or 1492?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16 = -k - 3*k. Let l be k\/(-6) + (-2)\/12. Let n = 1.1 + 3.9. Which is the closest to 2? (a) 2\/13 (b) l (c) n\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-100 - -11) + 116 - -41.\nAnswer: 68","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 114 a factor of 2385896?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 135 a factor of 53974060?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -48 = -20*g + 8 - 256 for g.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -2\/455 - 128\/455. Let n = -11347\/4 - -34045\/12. Let v be ((-16)\/18)\/((-2)\/(-3)). What is the closest to n in v, 2\/3, i?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: (1*(-6)\/(-4)*8\/12)\/(-7)\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (8\/(-6))\/(4\/(-18)). Suppose -4*z + 13 = u, -4*u + 2*z + 10 = -w. Find the second derivative of 9*i - i - 5*i**4 + 4*i**4 - u*i**4 wrt i.\nAnswer: -72*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 11826096.\nAnswer: 2, 3, 433, 569","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence fkd when three letters picked without replacement from dfdddddkdfddttdidid?\nAnswer: 4\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -211 + 259. Let w = -31 + u. What is the remainder when 49 is divided by w?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 12.06 - 23\nAnswer: -10.94","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 68999 times 75.2\nAnswer: 5188724.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) = h**2 + 13*h + 17. Let w be p(-12). Sort 0.3, w, 4, -1\/5.\nAnswer: -1\/5, 0.3, 4, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from xsesebcschchhcsecxee. What is prob of sequence esh?\nAnswer: 1\/114","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -39*x - 2226457 = 975443. Round x to the nearest 10000.\nAnswer: -80000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((2 + sqrt(65)\/sqrt(5) + 2)*-2)**2.\nAnswer: 32*sqrt(13) + 116","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Work out -14.229 * 0.4.\nAnswer: -5.6916","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) = v**3 - v. Let o(q) = -10*q**2 - 6*q**3 - 8*q**3 + 8*q**2 - 2 + 12*q. What is o(j) + 12*p(j)?\nAnswer: -2*j**3 - 2*j**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Does 129 divide 91977?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) = q**3 + 2*q**2 - 68*q + 127. Let b be x(6). Solve 2*c = b*c + 5*k + 30, c = 3*k + 2 for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) be the third derivative of c**5\/30 - c**4\/24 - 950*c**3\/3 + 11*c**2. Let w be f(0). Round w to the nearest 1000.\nAnswer: -2000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1.78496 + 47516495?\nAnswer: 47516493.21504","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + (sqrt(1331) + -1 - (sqrt(44) + -4)).\nAnswer: 8 + 9*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h*h**(-3)*h**(-4))\/(h\/h**(2\/7)*h**7)*(h**(-5)*h*h\/(((h\/(h*h**7*h))\/h)\/h)*h)**(2\/103) assuming h is positive.\nAnswer: h**(-9776\/721)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 13928.\nAnswer: 2, 1741","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -6 - -6.000272. Round z to 5 decimal places.\nAnswer: 0.00027","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) = -g**2 - 1. Let k(b) = 3*b**3 + 2*b**2 + b + 3. Give k(p) + 5*q(p).\nAnswer: 3*p**3 - 3*p**2 + p - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) = -6*l + 29. What is j(7)?\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is (4\/26)\/(906\/(-3926))?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 11957 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) = -10*q**3 - 18*q + 67. Let s(x) = -2*x**3 - 3*x. Calculate -a(k) + 6*s(k).\nAnswer: -2*k**3 - 67","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Divide 3079 by 3.\nAnswer: 3079\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-10)\/(-4)*(-7 - -11). Let l = n + -10. Suppose 3*i + l*i = 0. Which is the second smallest value? (a) i (b) -0.04 (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1488 to the power of 1\/3, to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.04, -5, 3\/8, -1\/6, -5\/7 in descending order.\nAnswer: 3\/8, -0.04, -1\/6, -5\/7, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -876*q - 1825 + 430*q + 445*q.\nAnswer: -q - 1825","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Put 1\/6, -1137, 5.7, -1\/5 in ascending order.\nAnswer: -1137, -1\/5, 1\/6, 5.7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) = b**3 + 6*b**2 - 20*b + 47. Calculate a(-9).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from vbmssmsbmvvbmbmbb. Give prob of picking 1 s and 1 m.\nAnswer: 15\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((g*g**(-4\/7)*g)\/g)\/g*g**(3\/5)*g**(-7)\/g**(-2\/11))\/(g\/(g*g*g\/g**7*g)*g**(4\/11)*(g**1\/g)**39) assuming g is positive.\nAnswer: g**(-4294\/385)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 14751997 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-24)\/42)\/2*231\/(30\/(-10))?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 399 minutes before 3:56 PM?\nAnswer: 9:17 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -187 = -20*x + 3*x. Let g(o) = o**3 - 12*o**2 + 10*o + 12. Determine g(x).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) be the first derivative of 2*p**3\/3 - 3*p**2\/2 + 9*p - 256. Let z = 21 + -14. What are the prime factors of m(z)?\nAnswer: 2, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 839 and 2908813?\nAnswer: 839","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) be the first derivative of -9*y**2\/2 - 2*y + 761. Let i(u) = 143*u + 33. What is -2*i(z) - 33*n(z)?\nAnswer: 11*z","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 403774 is divided by 48.\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 31836 and 20538?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 13113390 is divided by 6556507?\nAnswer: 376","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -s + 6 = 2*k - 3*k, -2*k - 5*s - 5 = 0 for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1\/(105\/15)*(-4)\/1?\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*b - b + b)*(-4*b**2 - 2*b**2 + 9*b**2) - 7*b**3 + 14 - 14.\nAnswer: -b**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) = 113*u**2 + 2685*u + 58. Let z be q(-24). Solve 77 = 717*n - z*n for n.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1668 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 34\/8 + (-1)\/4. Suppose u*i + 12 - 60 = -4*m, m = 3*i - 40. Suppose -i = 2*c - 3*c. Calculate the remainder when 38 is divided by c.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*r = 2 - 146. Is 5 a factor of ((-8)\/12)\/((-3)\/r)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -4112\/11 + 374. Suppose 2*m - 2 = -4*d, d = 5*d - 3*m + 13. Which is the nearest to d? (a) -1\/3 (b) 3 (c) o\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*u - 6 = -5*l, 0 = -3*l - 0*u + 3*u + 18. Solve q - 3*v - 21 = -2*q, 27 = 5*q - l*v for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 29296874?\nAnswer: 2, 1487, 9851","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (183*b - 118*b + 765*b + 807*b)*(1 + 9 - 4).\nAnswer: 9822*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let x be ((-1)\/(-3))\/(-1)*-9. Let s(c) = -2 - 4*c**2 - c + c**x + 1 + c**2. Calculate s(4).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) = -u**3 - 7*u**2 - 15*u. Let r be z(-3). Solve k = 2*j + 6, 3*k = 3*j + 3 + r for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) = 6293*x**2 - 14*x - 11. Let o be c(-1). Suppose -4*w = -4, -o - 10626 = -3*n - 5*w. Is n a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) = -h**3 + 9*h**2 + 12*h - 10. Let p = -11 + 21. Let z be o(p). What is the greatest common divisor of z and 80?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find g such that 2*g**5 - 812*g**4 + 66668*g**3 + 3161232*g**2 + 38367810*g + 131870700 = 0.\nAnswer: -15, -6, 221","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 59\/874 and -2\/3?\nAnswer: 2622","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(91)*2*-3)\/((sqrt(7) - sqrt(112))*-1).\nAnswer: -2*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -760.3 - -760. Put l, -6, 2\/13, -9 in decreasing order.\nAnswer: 2\/13, l, -6, -9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 18 and 3 - ((-3)\/3 + -4).\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -22001 + 10112202?\nAnswer: 10020201","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) = 1 + 6*v + 4*v - 4. Let x = 2 - -2. Is j(x) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1762, -3524, -5284, -7042, -8798, -10552, -12304?\nAnswer: -14054","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 28\/25 and 127\/6.\nAnswer: 150","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) = -4*d + 7. Let b(j) = j**3 - 5*j**2 - 6*j + 28. Let f be b(3). Let h be l(f). Solve 11 + h = -10*a for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000807679 rounded to 2 dps?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -46\/9*u - 2\/3*u**4 - 62\/9*u**2 - 34\/9*u**3 - 4\/3 = 0.\nAnswer: -3, -1, -2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -3 + 28 + (-84224)\/3360?\nAnswer: -1\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 10265 to the nearest integer?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 0.0134 (b) -5 (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.11439516 * 0.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 303 + -202. List the prime factors of i.\nAnswer: 101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (6\/3)\/(9\/((-360)\/(-10)))?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) = -w**3 + w - 5. Let u(f) = 159*f**3 - f**2 + 4*f - 27. What is 5*s(b) - u(b)?\nAnswer: -164*b**3 + b**2 + b + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g*g\/g**10*g)\/g)\/((((g*g\/(g\/(g*(g\/(g*g*g**(-1\/20)*g))\/g))*g)\/g)\/g)\/g)*(g**(-18)*g)\/((g*g**(-19))\/g) assuming g is positive.\nAnswer: g**(-61\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Factor -6*g**2\/7 - 726*g\/7 + 106812\/7.\nAnswer: -6*(g - 86)*(g + 207)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*d - 10 = d + 2*p, -12 = -4*p. Suppose -35 - 13 = d*y + 4*m, 2*m = y + 18. Let c be 110\/(-8) + (-2)\/8. Are y and c unequal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from qqqqqqqqqhhqq. What is prob of sequence hqq?\nAnswer: 5\/39","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let d be -2 + (-1 - -1) + 6. Let n = -16 + 19. Suppose -1 - 17 = -2*y - 2*p, -y - 3 = -n*p. Solve d*x = x + y for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4 + (-4 + sqrt(208)*2 + 2)*-6 + 2)**2 + 0.\nAnswer: -1728*sqrt(13) + 30276","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) = k - 13. Calculate r(10).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 394 minutes before 5:27 PM?\nAnswer: 10:53 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 49 - 19 = 5*u. Suppose -n - u*n = -1456. Let b be 19\/n + (-4)\/26. Is b greater than 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) = k**3 - 10*k**2 + 9*k + 8. Let m be v(9). Let r = m - -36. Let d = r - 25. What is the units digit of d?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: -25 divided by -25\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -26, 50, 456, 1420, 3170?\n\"Answer: 38*f**3 - 63*f**2 - f","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 450618 and 222?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*h - 5*q + 10*q - 7 = 0, 0 = 2*h - 5*q - 11. Put h, -3, -5, -6 in decreasing order.\nAnswer: h, -3, -5, -6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -6 + 6. Suppose 3*x = -o + 40, -2*x = -2*o - k*x + 72. What are the prime factors of o?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 261 and 21054.\nAnswer: 87","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) = -d + 1. Suppose -3 = -4*m + 9. Let n = 2 - m. List the prime factors of y(n).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0 + 1. Let o be (3829 - 2\/x) + 2. Let a = -11571 - o. What is a rounded to the nearest 1000?\nAnswer: -15000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) = -s + 14. Let x be j(0). Let a = -6 + x. Let z be 2\/a + 14\/8. Solve -p + 0*p = z for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -36*p - p**3 + 69*p - 33*p.\nAnswer: -p**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 11, -1, -21, -49, -85?\nAnswer: -129","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:27 PM and 7:27 PM?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) = -1581*g - 1583*g + 4743*g + 5 - 1584*g - 3. Suppose -2*c + 39 = -5*c - s, -3*c = -5*s + 21. Let r be 4\/(c\/(-9)) - 1. Give p(r).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) be the third derivative of 0 - 2\/3*g**3 + 0*g + 0*g**4 - 1\/60*g**6 - 2*g**2 + 0*g**5. Differentiate u(l) wrt l.\nAnswer: -6*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*v + 2*v - 192 = 0. Suppose -3*s - 4 = -3*o - 1, 4*o - v = -s. What is the first derivative of -x**4 - 2 + 0*x**s + 2*x**4 wrt x?\nAnswer: 4*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a**(-3\/7)\/(a\/a**(-16)*a))**9 assuming a is positive.\nAnswer: a**(-1161\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 123 is divided by 61.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 5224183 to the power of 1\/10, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (9\/(-15))\/(1\/(-2)*(-438)\/24455)?\nAnswer: -67","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2\/5? (a) -10.43 (b) 3 (c) 0.5 (d) -1 (e) 7\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 6167867 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*l = 3*l + 28. Let y = l + 44. What is the greatest common factor of y and 144?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) = w + 6. Give h(15).\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 60915168 a multiple of 288?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) be the third derivative of c**5\/60 - c**4\/12 - c**3\/3 - 46*c**2. What is the units digit of l(-1)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 17521939923 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 37 + -65. Let k = 1 + -51. Let i = h - k. Is i a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -47 - -120. What is the units digit of g?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1958804170?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z\/((z**(-6)\/z)\/z))**(-2\/27) assuming z is positive.\nAnswer: z**(-2\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -22*s + 14144*s**3 - 2*s**2 + 27*s - 14152*s**3 + 28*s.\nAnswer: -8*s**3 - 2*s**2 + 33*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 35\/25*5 + -5.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (12 - 7*j - 12)*(-2*j**2 - j**2 - j**3 + 0*j**3) to the form u*j + l*j**2 + o*j**3 + k*j**4 + r and give k.\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 h and 1 q when four letters picked without replacement from vhvqqhvqmqhcv.\nAnswer: 4\/715","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: (-4*2\/(-78))\/(38*58\/9918)\nAnswer: 6\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 79104 is divided by 75.\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0000106687702 to 6 dps.\nAnswer: -0.000011","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (352 - 214 - 214)*(2*y + 2*y - 3*y) + 12 - 3*y - 12.\nAnswer: -79*y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: ((-66)\/(-8))\/(10\/(440\/(-33)))\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(81) - (sqrt(81) + sqrt(81) + (sqrt(81)*-1 - sqrt(81)))*-3)*5)\/(-3*sqrt(5808)).\nAnswer: -5*sqrt(3)\/44","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) = 2*u**2. Let d be t(1). Solve -18 = -3*c - o, -d*c + c = o - 8 for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1573*r + 240*r + 678*r.\nAnswer: 2491*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 1 or -8\/73?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*d + 3*d = 895. Let k(q) = -37*q + 17. Let o be k(-3). Let f = d - o. What are the prime factors of f?\nAnswer: 3, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 1, -10\/7, -16, -2, 1\/2?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 6\/45 + (-22920)\/(-225). Solve -r + 105 = d for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-6 + 14)*3194\/(-4). Let u = -13493 - s. What are the prime factors of (-4)\/18*-1 - u\/63?\nAnswer: 113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0.04 + -0.14. Let v = h + 0.4. Let i = -36087\/5 - -7218. What is the fourth smallest value in v, 4, i, 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -5 - -5. Let b = 9\/11 - 67\/55. What is the nearest to o in b, 1\/5, -2\/13?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) = o**3 + 3 + 0*o + 5*o**2 - o - 3*o + 0*o**3. Let u(a) = -2*a**2 - a + 31. Let p be u(5). Let z be -4*(7\/3 - (-20)\/p). What is g(z)?\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, -9, 5, 1, -4 in increasing order.\nAnswer: -9, -4, 1, 3, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 - 4 - (-3 + 4)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 0 - -91?\nAnswer: 91","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) = -j**2 - 1151*j + 67657. Determine b(56).\nAnswer: 65","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*(sqrt(150)\/(2*sqrt(5)) + sqrt(30))\/(sqrt(30)\/(sqrt(3)*3)).\nAnswer: -27*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 69 - 4427176972\nAnswer: -4427176903","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 3 + -2.5. Let v = -29578\/5 - -5916. Let w(y) = 7*y**2 - y. Let j be w(1). Which is the closest to v? (a) j (b) m (c) 0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 10846 + 10794 - 8*j**2 - 21640.\nAnswer: -8*j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -8988 + 15242. What is the hundreds digit of m?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -383 = -8*m - 7. Solve 11*b + 8 = -m for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 931528221 a multiple of 898?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 801 is divided by 365?\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -83\/66592440 and 67\/13095?\nAnswer: 199777320","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 38, 91, 186, 335, 550, 843, 1226, 1711?\n\"Answer: 2*u**3 + 9*u**2 + 12*u + 15","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 208650361 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand -25*f**2 - 1096 + 1096 + (-7*f**2 + 4*f**2 + 6*f**2)*(2 - 5 + 1) - 3 + f**2 + 3.\nAnswer: -30*f**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -25, -128, -295, -520, -797?\nAnswer: -1120","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 14163068.\nAnswer: 2, 59, 60013","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let a be -51*(-2)\/27 + 6\/27. Suppose 5*q - 5*o - 140 = 0, 3*q - a*o - o = 92. Suppose 2*k - 5 = 67. What is the highest common factor of k and q?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -98 = -98*l + 97*l. List the prime factors of l.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*sqrt(66)*-1)\/((sqrt(48) + sqrt(336)\/sqrt(7) + sqrt(48) + sqrt(48))\/sqrt(8)).\nAnswer: sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 8*u - 2*i - 12, u + 190 = -4*i + 200 for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let i**2\/2 - 1659*i\/4 - 415\/2 = 0. What is i?\nAnswer: -1\/2, 830","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in thirty-seven fifths of a milligram?\nAnswer: 7400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -0.15 + 0.45. Sort -2\/5, z, -1\/5.\nAnswer: -2\/5, -1\/5, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5 + sqrt(112) + 2 + 1)**2.\nAnswer: -16*sqrt(7) + 116","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, 0.5, 425\/4, 5 in ascending order.\nAnswer: 0, 0.5, 5, 425\/4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 3282?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 20*v**5 - 2312*v**4 + 66132*v**3 - 335776*v**2 - 145040*v = 0.\nAnswer: -2\/5, 0, 7, 35, 74","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) = -4*k + k + 2*k + 2*k. Let c(t) = -1. Let b(i) = -2*i**3 + i - 2. Let d(a) = 2*b(a) - 4*c(a). Give d(p) - 2*m(p).\nAnswer: -4*p**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 800187.4 millennia in years?\nAnswer: 800187400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -1 - -22322?\nAnswer: 22321","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 110 is divided by 19.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:19 AM and 11:01 AM?\nAnswer: 342","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 217757 less than 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) = -t**3 + t. Let g(a) = 3*a**2 + 4*a - 4. Let r(h) = 3*h**3 + 15*h**2 + 20*h - 22. Let u(l) = -11*g(l) + 2*r(l). What is -u(j) - 4*w(j)?\nAnswer: -2*j**3 + 3*j**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -4925 + 4927. What is the nearest to 0.1 in k, -0.3, -4, 0.041?\nAnswer: 0.041","meta":{"dup_signals":{},"source":"comparison__closest_composed_test"},"subset":"dm_maths"} +{"text":"Question: Is 649307 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) = 5*n**2 - n + 1. Let q be i(1). Suppose 2*g = -q*m + 527, 4*m = -2*g - 0*g + 420. Is m a multiple of 17?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 t and 1 f when two letters picked without replacement from tttttfddwdttdtdt?\nAnswer: 3\/40","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Work out -2.107 * -0.03.\nAnswer: 0.06321","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 113 + 223?\nAnswer: 1002","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 114 + -102. Let l(d) = 7*d**2 + 40*d - 14. What is the thousands digit of l(p)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 44908?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) = -m**2 + 6*m + 13. Let s be j(8). Let w(u) = u**2 + u. Let h(k) = 2*k**3 - 2*k**2 - 3*k + 1. What is s*w(i) - h(i)?\nAnswer: -2*i**3 - i**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c**(1\/6)\/c**(1\/2)*(c**0*c*c)\/c*c**(3\/4)\/c*c)**(13\/2))**(-11\/5) assuming c is positive.\nAnswer: c**(-2431\/120)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) = 2*c + 28. Let r be x(-14). Suppose 4*p - 3*p - 424 = r. Suppose -6*y = -p - 326. Does 25 divide y?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 214485 to the power of 1\/3, to the nearest integer?\nAnswer: 60","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 1353*y**2 + 3*y + 1291*y**2 - 545*y**4 + 0*y - 2716*y**2 wrt y?\nAnswer: -13080*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 6 + 13 - m**3 - 3 + m + 2*m + 17 + m**4 to t*m**4 + p*m**2 + y + c*m + w*m**3 and give t.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) = f**3 + 9*f**2 - 2*f - 3. Let i be -11 + (0 - (0 - 3)). List the prime factors of c(i).\nAnswer: 7, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*r**3 + 2*r**3 - 7*r**3.\nAnswer: -5*r**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) = 7*l - 5. Suppose f + 3*y - 9 = 0, 3*f + 2*f + 5*y + 5 = 0. Let w(p) = 7*p - 6. Determine f*j(h) + 5*w(h).\nAnswer: -7*h","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 2544, 18003, 59954, 141645, 276324, 477239, 757638?\n\"Answer: 2208*j**3 - 2*j**2 + 9*j + 329","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (304*f + 588*f - 439*f)*(3*f - 7*f + 2*f).\nAnswer: -906*f**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 25796 is divided by 65?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Put 10, -252, 1, 0, 183, 14 in increasing order.\nAnswer: -252, 0, 1, 10, 14, 183","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 11807955?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (29*p**3 - 10*p**3 + 80*p**3)*(-5 + 3 + 1) to b*p**3 + x + a*p**2 + y*p and give x.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 110 + -94. Suppose -38 = 2*u + 3*z, 2*u - 3*u - z = 17. Let i = k + u. Is i prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8398673 at least 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 4627797 to the power of 1\/2, to the nearest integer?\nAnswer: 2151","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many days are there in 2695.61142 nanoseconds?\nAnswer: 0.00000000003119920625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(308) + (sqrt(308) - 1*sqrt(308))*-1)\/sqrt(7))\/(((sqrt(4)*2 - sqrt(4)) + sqrt(4))*-4*-1).\nAnswer: sqrt(11)\/8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(275) + sqrt(275)*-2 + 0)**2.\nAnswer: 275","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -q - q = -4*g - 104, -152 = -3*q + 2*g. Calculate the least common multiple of 4 and q.\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) = 2*b**3 - 52*b**2 + b - 22. Let d be l(26). Solve -5*v = 4*h + 10, 5*h - 3*v + 23 = -d*v for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (6*x - 6*x - 2*x**3)*(-13 - 4*x + 0*x + 3*x).\nAnswer: 2*x**4 + 26*x**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 215801 to the nearest integer?\nAnswer: 465","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) = 7*i**2 - 1. Let d be n(1). Suppose -2*r - 88 = -d*r. What is the remainder when 63 is divided by r?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in t**2 - 58615 - 58637 - 5*t**2 + 117252.\nAnswer: -4*t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 3565389783?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) = 5*q. Let u(j) = 36*j - 3. Calculate u(d(p)).\nAnswer: 180*p - 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/16 of a millimeter in nanometers?\nAnswer: 62500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) = 7*y. Let z(j) = 9*j - 96. Let g be z(11). Let d(n) be the second derivative of 0*n**2 + 2*n + 1\/6*n**g + 0. Give w(d(x)).\nAnswer: 7*x","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h**5*h*h)\/h*((h\/(h\/h**(1\/8))*h)\/h*h)\/h)\/(h**(1\/4))**15 assuming h is positive.\nAnswer: h**(19\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = 2*l - 10. Let h be 450\/825*((-9)\/(-15) - 19\/15). Is h at least as big as l?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) = -12*d + 25. What is the tens digit of p(-11)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*(((-2*sqrt(88)*-6)\/(3*sqrt(16)\/sqrt(2)))**2 + ((sqrt(11) - (sqrt(88) - 1*sqrt(88))\/sqrt(8)) + (sqrt(11) - sqrt(11)*1) + -3 + -1)**2)*-4.\nAnswer: -3248 + 128*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) = 13862*c + 124106. Give h(-9).\nAnswer: -652","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-477)\/3 - (-26081760)\/164016.\nAnswer: 1\/51","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 36\/30*(-3)\/27.\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -16 - -16. Suppose 0 = -4*u - j - 3*j + 428, 4*j - 4 = y. Is u a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 369*c**3 + 12515741*c**2 - 25066878*c + 67840 = 0. Calculate c.\nAnswer: -33920, 1\/369, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*j = y + 10 - 6, 0 = -4*y - 4*j - 16 for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 6\/(-9) + 33\/9 + -1. Find the third derivative of 26*v**3 + 0*v**5 + 2 - 17*v**f - v**5 + 0 + 0*v**5 + 3*v**2 wrt v.\nAnswer: -60*v**2 + 156","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -206 + 3504\/17. Let f = -1.9 - -2. Let i = 0 + -1. Which is the nearest to f? (a) i (b) -3\/2 (c) v\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) = 2*c - 1. Let i(w) = -32*w + 3. Give i(n) + 4*j(n).\nAnswer: -24*n - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:10 AM and 9:49 AM?\nAnswer: 159","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 27763?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -18 - 5?\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1673*h - 30 = -1658*h. Let a(v) = 5*v**3 + 4*v**2 + 4*v + 2. Determine a(h).\nAnswer: -30","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -4092067*t**4 - t**3 + 21834680*t**2?\nAnswer: -98209608*t - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) = -n**3 - 23*n**2 + 19*n - 26. Let h be (2 + -11)\/((-12)\/(-32)). Let w be j(h). Let q = w - 73. Is 13 a factor of q?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) = 9*w**2 + 222*w - 81. Calculate i(-25).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*a**2 + 10*a + 48.\nAnswer: -2*(a - 8)*(a + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 1.1 + -1.4. Let b = -0.7 - h. Let w = 3.4 - 10.4. Put b, w, 4 in increasing order.\nAnswer: w, b, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -2924, -11686, -26288, -46730, -73012, -105134?\nAnswer: -143096","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 1064901 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 divisor of 1196 and 322?\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -0.7 - -0.2. Which is the second biggest value? (a) -5\/6 (b) -2\/3 (c) u\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 12999855 to the power of 1\/10, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 474300 and 136.\nAnswer: 68","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:49 AM and 5:54 AM?\nAnswer: 305","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -7 + 19. Differentiate -5*y + 5*y - 8 + 3 + p*y**2 with respect to y.\nAnswer: 24*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*u = 4*g + 40, 3*g + 2420 - 2382 = -4*u for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -685135417*a**3*d**3 + 2*a**2 + 31*a*d**3 - 32*a - 7560*d - 2 wrt a?\nAnswer: -4110812502*d**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 2493934789 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -d + 17 = -4*y + 28, 0 = 6*y - 3*d - 9. Solve -17 - y = -7*s for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -19929 + 836975\/42. What is the common denominator of j and 11\/6?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*a - 5*n + 9 = -16, -2*a + n + 31 = 0. Let h = 1 - 0. Calculate the smallest common multiple of a and 10 - (h - (4 - 2)).\nAnswer: 165","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) = y**2 + 1. Let c(g) = -g**3 + 6*g**2 - g + 58. Let d(f) = c(f) - 5*x(f). Suppose -3*a - a = 4*j + 20, 2*a - 5*j - 25 = 0. Is d(a) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 42154 a multiple of 134?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 101 - -2321030130?\nAnswer: 2321030231","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {d: 1, z: 3, x: 3, q: 1, t: 5}. Give prob of sequence xzqz.\nAnswer: 3\/2860","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -17 - ((-1 - 4) + (-19 - -63 - 43))?\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Product of -582.7 and 3.\nAnswer: -1748.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) = -x**2 - 6*x - 5. Let l be p(-4). Suppose -l*f = -4*z - 0*f + 2836, 4*z = -4*f + 2864. Is (2 + -1)\/(4\/z) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) = -16*v**2 + 4*v - 6. Let j(n) = -32*n**2 + 7*n - 11. What is 11*g(h) - 6*j(h)?\nAnswer: 16*h**2 + 2*h","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) = -p**3 + 4*p**2 + 2*p - 3. Let v be f(4). Suppose 0*w - v*w = 20. Suppose 9*n + 30 = 3*n. Put n, w, 5 in decreasing order.\nAnswer: 5, w, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-16*i**5 - 23*i**5 + i**4 + 49*i**5)*(4 - 4 + 2).\nAnswer: 20*i**5 + 2*i**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -y**2 + 22*y**2 - 12*y**2 + 4*y**2.\nAnswer: 13*y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in 46\/5 of a meter?\nAnswer: 920","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0.3 + -0.6. Let h = 0 + -0.7. Let x = h + v. Which is bigger: -0.1 or x?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 30658 + -30647. What is the biggest value in y, 2\/5, -2\/69?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*d**4\/9 - 7130*d**3\/9 + 92944*d**2\/9 - 100184*d\/3 = 0. What is d?\nAnswer: -3578, 0, 6, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 70\/88 - (-3)\/(-12). Which is the smallest value? (a) -3 (b) q (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) 1\/1412129 (b) 0 (c) 40\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 15*y = 4*y + 66 for y.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Put -2923167, 5, -4, 0, 3, 1 in increasing order.\nAnswer: -2923167, -4, 0, 1, 3, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1332 and 306?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Are 1463033 and 1463605 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 200 - g**2 - 200 + 10*g - 9*g**2 + 17*g**2 - 5*g**2.\nAnswer: 2*g**2 + 10*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 9043, 18095, 27155, 36223, 45299, 54383?\n\"Answer: 4*o**2 + 9040*o - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*sqrt(320)*5 - (sqrt(30)\/(sqrt(96) + sqrt(96)*-2))**2 - (-4 + (sqrt(405) + sqrt(405)*2 - (sqrt(5) - sqrt(1000)\/sqrt(8))))**2.\nAnswer: -77141\/16 + 328*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Does 262 divide 12907692?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Express -55 + 27 - 13*v + 28 as t*v + g and give t.\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) = -5*z**2 + 6*z. Let p be 26\/2*(5 - 4). Let m be p - (3 - (-2)\/2). Let s(n) = n - 8*n + m*n**2 - 4*n + 0*n**2. Determine -11*b(h) - 6*s(h).\nAnswer: h**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-2 - 0 - -1)\/((-5)\/120). Let z(h) = 2*h - 45. Let m be z(u). Let j = 13 + -9. Sort j, m, -4 in descending order.\nAnswer: j, m, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -35186\/19 - -1852. Suppose 0 = 2*w, 0 = -4*j + w - 0 - 12. Let p = -60 - -60.1. What is the nearest to p in a, j, 0.5?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 10900933?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in 2, 4, 1.36, -0.04?\nAnswer: -0.04","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*-3*(sqrt(612) - ((sqrt(612) - (sqrt(612) + 0)) + sqrt(612)))*2)**2.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 15846913 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -3\/7 + 19\/77. Suppose 8 = 3*t - 7. What is the third biggest value in b, t, -2\/5?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*(sqrt(19) - (sqrt(1216) - sqrt(19))))**2 + 2*sqrt(19) + 0 + sqrt(19).\nAnswer: 3*sqrt(19) + 2736","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 136*u**5 - 13*u**4 - 122*u + 9 wrt u.\nAnswer: 2720*u**3 - 156*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Does 19 divide 136716718?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5390 = -14093*d + 14583*d for d.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*c + 5*x - 257 = 0, 0 = -4*c + 5*c - 4*x - 80. Suppose 2*d - 35 = -f, 4*d + 5*f - c = 1. Solve 4*m - d + 3 = 0 for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0\/(-10 + 12) + 3\/1\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14*d + 389 = -143. Let 2 + 11*a**2 - 6 + 13*a**3 - 7*a**4 - 8*a - 43*a**5 + d*a**5 = 0. What is a?\nAnswer: -2, -1, -2\/5, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 773, 937, 1089, 1223, 1333, 1413, 1457, 1459?\nAnswer: 1413","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3 + 6*(-2 + sqrt(11))*1)*-3*-1.\nAnswer: -45 + 18*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 222*m**2 - 123*m**2 - 103*m**2.\nAnswer: -4*m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.2342, 0.5, -3, -1\/153 in increasing order.\nAnswer: -3, -1\/153, 0.2342, 0.5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) be the second derivative of 17*s**4\/12 - 13*s. Let v(c) be the third derivative of -c**5\/20 - c**2 + 5*c - 43. Determine v(j(n)).\nAnswer: -867*n**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-390)\/(-54) + (1 - -6) + -14.\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) = 10*y**2 + 4*y. Suppose 0 = -7*j + 10*j - 4*s + 6, 5*j - 13 = -s. Suppose -j*h + 43 + 27 = 0. Calculate the remainder when x(3) is divided by h.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -164 divided by -13351.\nAnswer: 164\/13351","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 s and 1 t when three letters picked without replacement from sstskskksskss.\nAnswer: 14\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -163 + -400. Let u = w + 965. Suppose 2*v = u + 420. Is v prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 41243+-180.452521\nAnswer: 41062.547479","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 264077129 a multiple of 319?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 10*k**4 + 101899*k**3 - k + 1224420 wrt k?\nAnswer: 120*k**2 + 611394*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2817? (a) 3\/11 (b) -3 (c) 0 (d) 0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 6159371 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let -3*o**2 + 129*o + 132 = 0. Calculate o.\nAnswer: -1, 44","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) = 2*k**3 + 39*k**2 - 12*k - 36. Let w be q(-20). Let y = 411 - w. What are the prime factors of y?\nAnswer: 607","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (3*d**4 - 2*d**4 + d**4)*(-4 + 2 - 2) - 9*d**4 + 4*d**4 + 6*d**4 to k*d**4 + y + t*d**2 + m*d**3 + j*d and give k.\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 26*q - 25*q. Let f be (-70)\/(-35) - (q\/(-2) - 10). Solve 3*b - 2*b + f = -2*j, 5*j = 5*b - 15 for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -5528, -22977, -52082, -92843?\n\"Answer: -5828*k**2 + 35*k + 265","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -62*h**3 - h + 65*h**3 + h.\nAnswer: 3*h**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 219\/4 + -55. Let u = -127.084 - -0.084. Let g = u - -125. Put -5, -0.4, b, g in decreasing order.\nAnswer: b, -0.4, g, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) = -4*a + 2. Let l be c(-3). Let k be -4 - 7\/(l\/(-8)). Solve 2*b + 2*z - 10 = k, -4*z + 13 = b + z for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 494*u = 484*u + 50. Solve 5*v - 7 = -k + 16, k + 27 = u*v for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-1 + 49\/(-21))*(-3)\/2. Suppose 3*i - l*i - 4*z = 7120, 4*i - z = -14195. What is i rounded to the nearest one thousand?\nAnswer: -4000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -193, -564, -1175, -2020, -3093, -4388, -5899, -7620?\nAnswer: -9545","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) = -c - 4. Let i be q(5). Let h be (12\/i)\/((-2)\/6). Let l(j) = 4*j**2 - 7*j + 8. What are the prime factors of l(h)?\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 61710881 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -p + 3 = 3*v - 0*v, -v + 11 = -3*p. Let i = -229 - -259. Suppose -4*w + 2*y = -i, -5*w - 4*y = -3*y - 55. Which is greater: w or v?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together -95046.87 and -3390.\nAnswer: -98436.87","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -95 + 95. Suppose -5*j + 4*o = -26, s = -5*j - 4*o + 26 + 8. Suppose -j*d + 527 + 763 = 0. Is d prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ouuuuruuouuuuu. Give prob of picking 3 u and 1 r.\nAnswer: 15\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 85 + -80. Suppose 4*s = -0*s + 5*a - 1, -4*s - 7 = -3*a. Let o be 4\/5*(-10)\/s. Solve -3*h = o*h + w for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be -1*((-237)\/70 - -3). Let m = g - -3\/14. Sort -4, m, -3.\nAnswer: -4, -3, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) = -3*u**2. Let m(y) = -100 - 20*y**2 + 47 + 53. Determine m(l(p)).\nAnswer: -180*p**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 123 minutes after 11:35 PM?\nAnswer: 1:38 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 7\/4 of a hour in minutes?\nAnswer: 105","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate c**2*n + 68*c**2 + c*n**4 + c - 34437*n + 1348 with respect to n.\nAnswer: c**2 + 4*c*n**3 - 34437","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/7 in -3, -1\/2, 2, -4\/3?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 843120?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) = t**3 + 32*t**2 - 33*t - 9. Give z(-33).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) = -c**3 + 5*c**2 - 4*c + 4. Suppose 4*o + 48 = 4*h, 2*o - 7*o - 52 = -4*h. Suppose 12 + h = -5*j. Let p be j\/(4 - 0) + 5. What is t(p)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -42 - 316*w**3 + 42.\nAnswer: -316*w**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence pv when two letters picked without replacement from vpvvpvpvppppvv?\nAnswer: 7\/26","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) be the second derivative of 0*p**4 - 1\/20*p**5 + 0 + 15\/2*p**3 + 0*p**2 - 36*p. What is the second derivative of f(o) wrt o?\nAnswer: -6*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2 a factor of 547?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 16*g**4 + 7*g**4 - 2*g + g**4 - 3*g**4 wrt g.\nAnswer: 252*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3091166 is divided by 3091153.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*y + 26 = -16. Suppose 2*z - y*z + 10 = 0. Suppose -3*a - z*u = u - 81, 131 = 5*a + u. Does 13 divide a?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (10\/(-14))\/(3\/(-21)) - 6. Let l = -0.2 + 0. Which is the second smallest value? (a) -3 (b) m (c) l\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l**(-18)\/(l\/(l*l\/(l\/(((((l*l**(-5))\/l)\/l)\/l)\/l)))))\/(l**(-18))**(-32) assuming l is positive.\nAnswer: l**(-602)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Round -7095000 to the nearest 100000.\nAnswer: -7100000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00018666 rounded to five decimal places?\nAnswer: -0.00019","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 80 + -80. Suppose -5*l - 5*l - 12100000 = s. What is l rounded to the nearest 100000?\nAnswer: -1200000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 209 - 201. Suppose 19*g - q*g = 3795. What is the remainder when g is divided by 12?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*v - 2*v - w - 534 = 0, 0 = -5*w - 20. Is v a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 412, 430, 452, 478, 508, 542, 580?\n\"Answer: 2*n**2 + 12*n + 398","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 73*m**3 - 149*m**3 + 73*m**3.\nAnswer: -3*m**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 243 from 0.05.\nAnswer: -242.95","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -3, -3\/10, 4, 0, -4?\nAnswer: -3\/10","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 1995 even?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -9.82093*2.\nAnswer: -19.64186","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) = -a**2 + 2. Let s be j(0). Let c be (-48)\/21 - s\/(-7). Let b(m) = -m**2. Let l(u) = u**3 + u**2 - u + 1. Let o(f) = b(f) - l(f). Calculate o(c).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -1308, -1277, -1234, -1173, -1088?\n\"Answer: z**3 + 24*z - 1333","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 658257 and 154887.\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 3888770152?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8541*z = -7605*z + 87984 for z.\nAnswer: -94","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, -4, 2, 10725, -1 in decreasing order.\nAnswer: 10725, 3, 2, -1, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Put 9, -0.5, -4, -14, 5 in ascending order.\nAnswer: -14, -4, -0.5, 5, 9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence uuqw when four letters picked without replacement from qwvnuvqvuuqvcvv?\nAnswer: 1\/1820","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Determine m so that -2*m**5\/5 + 18*m**4\/5 - 8*m**3 - 32*m**2\/5 + 192*m\/5 - 32 = 0.\nAnswer: -2, 2, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: -371*-1\nAnswer: 371","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -2 + -2 - ((-7 - (-1 - 10)) + -8).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -323 + 349. Suppose -2*a - z*a = -6720. Is 24 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 11922207 is divided by 1987027?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((l\/(l*l\/(l**(-1\/7)\/l)))\/l**4*(l*l**5)\/(l\/(l*l**(-5))))**40)**48 assuming l is positive.\nAnswer: l**(-69120\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) = -q**2 - 22*q - 1. Calculate p(-9).\nAnswer: 116","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -1640*a**3*p**2 - 45*a**2*p + 8*a*p**2 wrt a?\nAnswer: -9840*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 139 minutes after 1:10 AM?\nAnswer: 3:29 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 720 and 660.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sort -12, -41, 2780 in decreasing order.\nAnswer: 2780, -12, -41","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Divide 147700102 by -13427282.\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) = -3*s**2 - 9*s + 1. Let i(u) = 6 - 6 - 19*u - 7*u**2 - 1 + 2. Let z(n) = -4*i(n) + 9*v(n). Let k = 157 - 153. Give z(k).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 14.1 + -9.1. What is the closest to 1 in q, 0.5, 2?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) be the second derivative of -g**6\/330 - g**5\/220 + g**4\/132 + g**3\/66 - 275*g. Factor f(q).\nAnswer: -q*(q - 1)*(q + 1)**2\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 9727343 is divided by 780?\nAnswer: 743","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 26855219 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find a, given that a**4 - 94816*a**3 + 2247518464*a**2 = 0.\nAnswer: 0, 47408","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 85 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 0.4953 - 0.0953. Let g = -0.5 - -4.5. Let l = -4.2 + g. Which is the nearest to l? (a) -0.5 (b) u (c) -4\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 105 and 3?\nAnswer: 105","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2770*m + 2747*m + 1 - 5 - 2 + 4.\nAnswer: -23*m - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -50 - -55. Suppose 0 = s*w + 671 - 3056. Suppose 0 = -5*o - 6*r + 2*r + w, r - 189 = -2*o. What is the tens digit of o?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) = 17*g**2. Let o = 11 + -8. Suppose 4*a - o*a = 66. Calculate the remainder when a is divided by x(-1).\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 140477727?\nAnswer: 3, 13, 3601993","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) = l**3 + 8*l**2 - l - 8. Let z be h(-8). Suppose w + i = 6 - 3, z = 3*i. Let r = w - 0. What is the units digit of r?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.1 in 3\/4, -3, 1, 8?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*g = 2*o - 12, 5*g + 20 = o - 2*o. Let p = 20 - 20. Suppose -3*s + p*s + 3 = o. Solve c = w - 1, -5*c - s = w + 4 for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0.40223 - 4.42763. Let c = -0.0254 - g. What is the biggest value in c, -2\/7, -4\/9, 3?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 732.9 - 736.597. Let f = 3.54 + g. Let w = -0.031 - f. Round w to 2 decimal places.\nAnswer: 0.13","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 306 and 1581.\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -273.8736*-4\nAnswer: 1095.4944","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) = c**3 - 7*c**2 + 37*c - 124. Let m be p(5). What is the highest common divisor of 1738 and m?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 9*n**2 - 7*n**2 - 7*n**2.\nAnswer: -5*n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -23 (base 5) in base 8?\nAnswer: -15","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Divide 2 by 9618.\nAnswer: 1\/4809","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 37177?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) = -26*f - 39. Let p(q) = 54*q**2. Determine i(p(l)).\nAnswer: -1404*l**2 - 39","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 1\/36983624 and -81\/80?\nAnswer: 369836240","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) = -199*h - 119. What is the tens digit of g(-2)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 8*k - 2*k - 12. Let y(f) be the first derivative of 4*f**3\/3 - f**2\/2 - 2*f - 1. What are the prime factors of y(k)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 6813?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 28 = -5*z - 4*k, 3*k = -1426*z + 1429*z + 33 for z.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) = 7*u + 1. Let w be n(-1). Let y be ((-2)\/(-6))\/((-4)\/w). Which is smaller: y or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 43548 a multiple of 191?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 0.06719349536 and -2?\nAnswer: 2.06719349536","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -1940, -1765, -1590?\n\"Answer: 175*l - 2115","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 l, 1 u, and 2 w when four letters picked without replacement from {l: 3, w: 3, t: 1, u: 13}.\nAnswer: 39\/1615","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*q + 5*o = 3*o + 16, 2*o = -2*q + 6. Let k be (-2)\/10 + (-224)\/(-70). Suppose 0 = -k*j + 10 - 4. Solve p + j = 3*m, q*p = 2*p - 5*m + 22 for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -32352*o*u**3 + 4*o*u**2*w - o - 2*u**3*w - 6047*u**2*w - 4*u wrt u?\nAnswer: -194112*o - 12*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Sort 131768, -3, 4 in increasing order.\nAnswer: -3, 4, 131768","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in eleven halves of a day?\nAnswer: 7920","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:37 AM and 10:10 AM?\nAnswer: 153","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 4479758257 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) = 964*y**2. Let a(t) = t**2. Determine a(w(o)).\nAnswer: 929296*o**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -15\/32 and -29\/341496804.\nAnswer: 2731974432","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -314*j + 299*j + 30 = 0 for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-40)\/(-16))\/((12\/9)\/(110\/33)).\nAnswer: 25\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*g + 6*m - 3*m + 9 = 0, -4*m = -8. Suppose 2*l = -a + 298 + 1380, -g*l + 5*a + 4225 = 0. Is l a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) 1\/6 (b) 0.7 (c) -6\/25 (d) -0.02 (e) 4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 13.05359 meters in micrometers?\nAnswer: 13053590","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-240)\/(-9)*(-48)\/20. Let p = -78 - j. Let i be (-8)\/28 + -2 + (-340)\/p. Is i bigger than 23?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -276 - -285. What is the units digit of (d\/(180\/176))\/(14\/455)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1065431 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-28)\/(-21))\/(56\/(-12))?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 6 + (-2 - (6 - 2 - 3))\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1 = m - 3 for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) be the third derivative of -3 - 19\/6*y**3 + 0*y - 4*y**2 - 7\/120*y**6 + 0*y**5 - 1\/70*y**7 + 1\/24*y**4. What is the second derivative of q(i) wrt i?\nAnswer: -36*i**2 - 42*i","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -36 + 40. Suppose 0 = 14*y - 12*y - i - 19, 5*i = 2*y - 39. Solve -u*p + 6 = -y*p for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*j + 7 + 7. Let m = 21 - j. What is the greatest common divisor of m and 154?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 871.8137 and 0.6.\nAnswer: 523.08822","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in two ninths of a hour?\nAnswer: 800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) = -3*j - 13. Let v(n) = 7*n + 1496. Give -3*c(t) - v(t).\nAnswer: 2*t - 1457","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 64 is divided by 9.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Put together 1.961 and 125730687808.\nAnswer: 125730687809.961","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.05 and 0.023.\nAnswer: -0.00115","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) be the second derivative of t**5\/4 - t**4\/4 - 2*t**2 - t + 43. Let x(a) = a**3 - a**2 - 1. Give 2*g(f) - 6*x(f).\nAnswer: 4*f**3 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 620106450 to the nearest integer?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -0.3, 10387, -5?\nAnswer: 10387","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 9 + -58. Let z = d - -77. Is z a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) = 33*n**2. Let d(y) = 18*y**2 - 12*y + 12. Let a(b) = b**2 - b + 1. Let i(v) = -12*a(v) + d(v). Determine l(i(u)).\nAnswer: 1188*u**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5580 = -83*f + 21*f. Let t(j) = j - 88. Let w be t(0). Is w at least f?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 309499 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(408)\/(sqrt(48)\/sqrt(24)))\/((sqrt(108) + (sqrt(108) - sqrt(108)*-3))*-3) + -3.\nAnswer: -3 - sqrt(17)\/45","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*j - 54963*j**2 + 60285*j**2 + 0*j.\nAnswer: 5322*j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 16268 and 137004.\nAnswer: 196","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -157693700*l**3 + 12*l - 2776376 wrt l?\nAnswer: -946162200*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 502?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) = -i**3 - 32*i**2 - 26*i + 158. Let t be k(-31). Solve -142*a - t = -143*a for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-2)\/30)\/((-116)\/(-3480))?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 61431287 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -10.024 from -10076205334.\nAnswer: -10076205323.976","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4404 = -87*h + 301*h - 1194 for h.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Put 8018, 27, 37, 3 in decreasing order.\nAnswer: 8018, 37, 27, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (9*h - 14*h - 14*h)*(1 - 1 - h).\nAnswer: 19*h**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {e: 2, f: 1, b: 2, s: 1, d: 2, y: 11}. Give prob of picking 2 b, 1 d, and 1 e.\nAnswer: 1\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d*d**0*d*d)**(-14\/3)*(d\/(d\/d**1))**(-34) assuming d is positive.\nAnswer: d**(-48)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*p + 4*j + 8 = 5*p, 4*j = -p - 16. Let m(y) = -y - 7. Determine m(p).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -41\/31752 and -55\/381591.\nAnswer: 21369096","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let q be ((-31 + 1)\/(-6))\/(2 - 1). Sort 4, -5, q, 1 in descending order.\nAnswer: q, 4, 1, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 176 - 181. Which is the third smallest value? (a) 0 (b) 2\/7 (c) l (d) -8\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-25)\/5 + 2*30\/5. Suppose 3*a = 1 + 5. Suppose -v*x + 2*x = o - 2067, 0 = 4*o + a*x - 8178. Is o prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((f**(1\/8)\/f)\/f*f*f)\/f*f\/((f*f*f\/(f\/(f**(-2\/27)*f)))\/f))**(4\/11)*(f**(-2\/7)\/f*f*f\/(f\/(f**(-1)*f)))**(1\/28) assuming f is positive.\nAnswer: f**(-9679\/14553)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 3011377 in -3, 6\/11, -2\/9?\nAnswer: 6\/11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) = 6*x + 41. Let t = -69 + 61. Let s be v(t). Does 6 divide (-1 - 1\/s)\/(15\/(-105))?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 2525011 - 4?\nAnswer: 2525007","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*t + 3*k + 0*k = 8, 3*t = -328*k + 321*k + 22 for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -0.057 + -44.943. What is the third smallest value in 1, n, -5?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 9 - 7 - 5*i**2 - i**2 - i**2 - 2*i**2 + 0*i**2 + (-2*i - i + 4*i)*(-3*i + i + 0*i).\nAnswer: -11*i**2 + 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 176 and 48.\nAnswer: 528","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -2, 47, -5, -1\/10, -0.5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 7949?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) be the second derivative of 0*j**3 + 1\/6*j**4 + 0 + j - j**2. What is the derivative of d(y) wrt y?\nAnswer: 4*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -5293 + 5381. What is the greatest common divisor of m and 1276?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -73? (a) 4\/7 (b) -0.1 (c) 0 (d) -2\/7 (e) -0.4 (f) 3\/2108\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2 + -2 + (1*sqrt(931) - sqrt(931) - sqrt(931) - sqrt(931)) + sqrt(931) + sqrt(931))**2.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Does 35 divide 355?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) be the second derivative of 251*w**7\/21 - 465*w**4\/4 + 1071*w. Find the third derivative of d(a) wrt a.\nAnswer: 30120*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_test"},"subset":"dm_maths"} +{"text":"Question: Express 22*b**2 - 21*b**2 + 16*b**2 - 6*b**2 - 7*b**2 + 7*b**2 + (-2 + 2 - 2)*(2*b**2 + 0*b**2 + b**2) as m*b + t + o*b**2 and give o.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*u + 41 = -n + 3*u, 2*n = 2*u - 82. Let w = -46 - n. Let z be (-2)\/(-14) - 34*w\/35. What is the nearest to 0 in z, 0, 2?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 55369409 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 1 - 2 - -1 - (-4 - 5 - -8). Sort -9, 5, -4, d, -2 in ascending order.\nAnswer: -9, -4, -2, d, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 3886396 and 721.\nAnswer: 103","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 3421 - 3426. Let j(w) = w**2 - 14*w - 95. Give j(r).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) = 12*h - 44. Let y(g) = g**3 - 2*g + 3. Let m be y(2). Is 10 a factor of l(m)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 12 - ((-22)\/(-4 + 15) + 8).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 4\/11? (a) 3\/7 (b) 1572 (c) 65.6 (d) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 308, 307, 306, 305?\n\"Answer: -z + 309","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 23833954, 47667910, 71501864, 95335816, 119169766, 143003714, 166837660?\n\"Answer: -g**2 + 23833959*g - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*o - 20 = 4. Let n be o\/24 - (-30)\/(-8). What is the units digit of n\/22 - 123\/(-11)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 569*b**6 - 2*b**5 + 295*b**2?\nAnswer: 68280*b**3 - 120*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 87735 and 255.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -u = -2*h + h - 3, 3*h - 3 = -3*u. Suppose -f + 28 = k, 19 - 44 = 5*f. Let g = u + k. Is g a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from kddkedeekkd. What is prob of picking 2 k and 1 d?\nAnswer: 8\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -0.5, -2, 5, -772?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 1058 - 1057.8. What is the nearest to m in 6, 0.4, -3\/7, 1\/8?\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) = 13*r + 5*r - 5*r + 5*r. Let q be j(2). Suppose -4*c + 3*y + 4 + 20 = 0, 5*c = -2*y + 53. Calculate the highest common divisor of q and c.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from kzzkazkkkkkkaaakkk. What is prob of sequence aak?\nAnswer: 11\/408","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*h = -0*c - 4*c - 4, 5*c + 5 = -2*h. Solve -u + 0*u = h for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -173 - -179. Put -3, 3, 2, v in decreasing order.\nAnswer: v, 3, 2, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -17 - -16. Let b be 2 + (3 - 5)*s. Suppose -2*r + 140995 = -k - r, b*r = -3*k - 423020. What is k rounded to the nearest ten thousand?\nAnswer: -140000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in -3, 23, 3\/2, 3.0136, 0.1?\nAnswer: 23","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 214 and 3291962.\nAnswer: 214","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4500*q**3 - 44940*q**2 - 431776*q\/5 + 678976\/5.\nAnswer: -4*(q - 1)*(75*q + 412)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Work out 30620928189 - -0.007.\nAnswer: 30620928189.007","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 17890.\nAnswer: 2, 5, 1789","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 88*u**4 + 290*u.\nAnswer: 1056*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*s - 2*d = 65541, -5*s - 3*d + 109257 = d. Is s composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*q = 4*m - 268, 2*q + 0*q - 206 = -3*m. Let g = 1159 - 1148. Calculate the smallest common multiple of g\/(-44) + (-87)\/(-12) and m.\nAnswer: 476","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 0 - 2\/5*g**3 + 56\/5*g - 24\/5*g**2.\nAnswer: -2*g*(g - 2)*(g + 14)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 1083, 4408, 9951, 17712, 27691, 39888?\n\"Answer: 1109*s**2 - 2*s - 24","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is -2 <= 7\/9?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from bqbvbvmqqrjrqvrrvq. What is prob of sequence vjb?\nAnswer: 1\/408","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 k and 2 v when four letters picked without replacement from kvkkkkvvvk.\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) = -42*u + 25580 + 13*u - 25580. Give a(-2).\nAnswer: 58","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 287\/12 + -99\/4. What is the nearest to 3\/4 in a, 0.2, -3\/4, -5?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor z**4 + 31*z**3 - 305*z**2 + 273*z.\nAnswer: z*(z - 7)*(z - 1)*(z + 39)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 8661 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -a - m + 6 = 0, 22 - 4 = 3*a - 2*m. Suppose -63 = -5*g - 3*k, 2*k + 2 = -a. What is the tens digit of g?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) = -k. Suppose 0 = -4*q - 2*w - 14, 2*q - 2 = w + w. Let x(p) = 3*p**2 - 27*p. Let h(n) = q*x(n) + 54*c(n). Let u(o) = -18*o. Give u(h(t)).\nAnswer: 108*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -3.4 + 3.2. Is 2 >= b?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.1? (a) 0.5 (b) -5 (c) 2\/9 (d) -317 (e) 0.38\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) be the second derivative of q**3\/6 + 5*q**2 + 9*q. Let g be w(8). Solve u = -5*u - g for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) be the third derivative of -187*v**2 + 65\/6*v**4 + 0*v + 0 - 25\/2*v**3. Differentiate b(d) with respect to d.\nAnswer: 260","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) = -4*v**2 - 2937*v + 2496311. Give r(504).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -i + o - 73 = -72, -5*o + 11 = i. Solve 8*y - i = -17 for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 13401673 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1589889, -1589886, -1589883, -1589880, -1589877, -1589874?\nAnswer: -1589871","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {a: 1, e: 1, o: 1, h: 1, t: 4}. Give prob of picking 2 t.\nAnswer: 3\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -16 + 2881?\nAnswer: 2865","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -95 - -215. Let d = -1\/5711 - -1399197\/11422. Let s = d - y. Find the common denominator of s and 97\/8.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 0.4, -4, -15.9, 2, -5\/6, -14, -0.33?\nAnswer: -5\/6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3167416159?\nAnswer: 349, 997, 9103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r*r*r**(-3))\/(r**(-5)*r))\/(r**(-7)*r**(2\/9)) assuming r is positive.\nAnswer: r**(88\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 3.9825 + -4.03. Let n = -0.0475 - g. Which is the nearest to n? (a) -0.3 (b) -0.05 (c) 1\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) = 4*y. Let s(x) = 7*x**2 + x - 68. Give n(s(l)).\nAnswer: 28*l**2 + 4*l - 272","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*i + i + 4 = 0 for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 842144106.273509375 - -0.726490625. Let z = n - 842144143.99999962. Let y = 37 + z. What is y rounded to seven decimal places?\nAnswer: 0.0000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 38\/1631 and -30\/2563?\nAnswer: 17941","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the billions digit of 1269173741?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*s = -2*x + s + 192, -5*x = -5*s - 510. Let n be (x\/(-2))\/(7\/14). Let k be (-1138482)\/n + 4\/22. What is k rounded to the nearest one thousand?\nAnswer: 12000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-7)\/(-3) + (-160)\/(-24) + -6. Let m be 2*15\/(-18)*-3. Suppose w*y + j = -3*j + 172, 0 = -m*y + 4*j + 308. Is y a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*s + 18 = -3*c + 6*c, 0 = -5*s + 2*c + 9. Find the second derivative of -2*q**s - 4*q**3 + 19*q + 55*q**3 - 12*q**3 wrt q.\nAnswer: 222*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 10 + -9.6. Suppose 3*l + 4*z = 7*z - 15, 0 = z - 3. Let o be (l\/8)\/((-21)\/(-48)). Sort o, j, -9.\nAnswer: -9, o, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) = 99*w + 1112. Let c be v(-9). What is the greatest common divisor of 65 and c?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_test"},"subset":"dm_maths"} +{"text":"Question: What comes next: 3163, 3167, 3171, 3175, 3179?\nAnswer: 3183","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 5345023 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 8 and 196?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -5851 - -5853. Solve i*h + 3 = 4*q + 5, 4*q + 5*h = -9 for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) = -s**2 - 7*s - 3. Let i be d(-7). Suppose 0 = -5*z + 3 - 8. Sort 3, 5, z, i in increasing order.\nAnswer: i, z, 3, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -2715.6845 to the nearest 100.\nAnswer: -2700","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 95 - 26. Let t = v + -68. Put t, -7, -2 in descending order.\nAnswer: t, -2, -7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*u - 10 = -6. Solve 0 = 3*f + 3, 0*f - 3*f - u = -2*h for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -1481, -1\/4, -4 in decreasing order.\nAnswer: -1\/4, -4, -1481","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-7 - (-5 + -4)) + 1.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 107998753 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 4 - 1521662?\nAnswer: -1521655","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) = 11*y. Let x be 6\/84 - 162\/(-84). Let f(q) = -x*q + 0*q + 3*q - 2*q. Determine f(z(j)).\nAnswer: -11*j","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) = -f**2 + 7*f + 2. What is the smallest common multiple of 1 and v(6)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/4 of a centimeter in micrometers?\nAnswer: 2500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 28*n + 30*n - 117*n - 75 + 28*n + 30*n.\nAnswer: -n - 75","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9 = -2*u + 23. Let n = 18 - u. Solve -4*t - 5*j - 16 = -n*t, t + 4*j = -11 for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 102 (base 10) to base 16\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) = -f**3 + 148*f**2 - 5365*f - 715. What is o(64)?\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 212701061 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) = 9 - 7 + 3*c + 4*c**3 - 11 + 1. Let b(s) = -5*s**3 - 4*s + 9. Suppose -6 = -2*n, -g + 3 + 7 = n. What is g*x(z) + 6*b(z)?\nAnswer: -2*z**3 - 3*z - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = h + 4*h - 5. Let a(y) = -2*y - 1. Let b be a(-2). Suppose 4*j + 1 = -b. Sort j, h, 2.\nAnswer: j, h, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*l + 8*l - 170. Let y(i) = 4*i**2 + 8*i + 167. Is y(l) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 485212, 485210, 485208, 485206, 485204, 485202?\n\"Answer: -2*z + 485214","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a*a**(-3\/5)*a*a**4\/a*a\/a**(-1\/11)*a**1\/a)**(13\/5) assuming a is positive.\nAnswer: a**(3926\/275)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand 9*r + 5 - 8*r + 3*r + (-3 + 2*r + 3)*(3 + 2 - 3).\nAnswer: 8*r + 5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-383 - 4)\/3 + (7 - 4). Let k = i - -141. Solve 0*y = -3*y - k for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1170.\nAnswer: 2, 3, 5, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) = 28 - 6*i**2 + 11227*i + 5*i**2 - 11209*i. Calculate v(19).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) = m**3 - m**2 - 6*m + 8. What is h(3)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is (-10)\/45*159*(207\/322)\/(12\/28)?\nAnswer: -53","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is -2.192 less than 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 32394\/83 > 391?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -15 + 12. Let p = a + 11. Let h = -4 + 6. Solve 4*b + p = h*b for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from yjjyjkjkkj. What is prob of picking 1 y and 1 k?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 39083 and 53389677.\nAnswer: 2299","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 582\/(-184) + 146\/(-1679)\nAnswer: -13\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) = -9676*b - 2486734. What is n(-257)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-26)\/(2\/(-2 - -1)). Let x = j + -3. Solve -5*i = 3*v + x, 4*v + v = 3*i + 6 for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 23099274.\nAnswer: 2, 3, 11, 116663","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence sbb when three letters picked without replacement from ssbmhmscbbbb?\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 45\/41336 and 59\/44.\nAnswer: 454696","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let x be ((-4)\/(-10))\/((-29)\/(-725)). Solve -j = -5*d - 24, 5*j = -2*d + 2 + x for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -8 + 8.85. Let w = -1.66 + p. Let d = 4.37 + w. What is d rounded to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 64, 105, 130, 139, 132?\nAnswer: 109","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 25 - 1389*r**2 + 1404*r**2 - 18 + 26 wrt r.\nAnswer: 30*r","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:24 PM and 2:07 AM?\nAnswer: 283","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) = -3*k**2 - 11*k - 22. Let f(h) = -2*h**2 - 7*h - 15. Let o(u) = -5*b(u) + 7*f(u). Determine o(-4).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {w: 3, n: 3, x: 3, c: 8, u: 1}. What is prob of picking 2 n?\nAnswer: 1\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) 0.3 (b) 0 (c) 37\/16 (d) -4\/9 (e) 0.4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 2*(3 + (-6)\/4). Suppose 3*u + 3*s = -30, m*u - s = -6*s - 40. Let k = 8 + u. Solve 3 = k*v - 6*v for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 29, 2, -27, -58, -91?\n\"Answer: -i**2 - 24*i + 54","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 135*l**3 + 54*l**2 - 15*l - 6 = 0.\nAnswer: -2\/5, -1\/3, 1\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) be the first derivative of 14*u**3\/3 - u**2 + 26. Find the second derivative of s(z) wrt z.\nAnswer: 28","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) = -46*p**3 - 4*p**2 + 26*p. Let l(a) = -27*a - 366 + 4*a**2 + 366 + 43*a**3. Let n(c) = 5*l(c) + 6*s(c). What is the third derivative of n(m) wrt m?\nAnswer: -366","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) = -6*v - 14. Let x be u(-5). Suppose -4*y - 3*r = -14, 3*r = -r - 8. Suppose 3*z + 4*k - 7 = x, -y*k + 30 = 4*z. Does 5 divide z?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -11110 (base 3) to base 10.\nAnswer: -120","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose y = -4*y + 25, 4*y - 18 = l. Suppose l*j - 9*j = -14. Solve -3 + 2 = -g + j*d, -5*g + 4*d = 7 for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -23 in 0.01, -5, 65, 0.3?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-8 - 0 - 28742)\/((-2)\/(-480)). Round q to the nearest 1000000.\nAnswer: -7000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -98 - 1375.\nAnswer: -1473","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) be the third derivative of -19*m**4\/12 + 2*m**2 - 720. Let a(v) = 1672*v. Determine -3*a(y) - 133*q(y).\nAnswer: 38*y","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -3\/4 (b) 7 (c) -5 (d) -1\/3 (e) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) = 4*h - 119. Let s be c(30). Sort 2, -5, -2, s.\nAnswer: -5, -2, s, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 185 - 90?\nAnswer: d5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 6 + -6 + -5 + (42 - 29)?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -1941399 (base 10) to base 4\nAnswer: -13121332113","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 60*f - 25*f = -3*v + 30*f + 9, -3*v - 8*f + 9 = 0 for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is -14307\/16 less than -895?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -11*v + 16525 - 16470 = 0 for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*k - 4*d + 385 = 0, -9*k + 385 = -4*k - 3*d. Let j be 2\/(-11) - 294\/k. What are the prime factors of (-1)\/(j\/12) + 47 + -2?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) = -2357*z - 10204. Let v be y(-5). Calculate the greatest common factor of 102 and v.\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) = 5*g - 2. Let h(t) = 81*t - 33. Determine 2*h(j) - 33*m(j).\nAnswer: -3*j","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 388134?\nAnswer: 2, 3, 21563","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*f + 24 = 5*n, 0*f = f - 4*n + 18. Which is smaller: -0.05 or f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2228106547 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + (sqrt(75) - (sqrt(75)*2)**2) + 4 - (sqrt(12)\/(2*sqrt(4)) + (sqrt(3) - sqrt(27) - sqrt(3)) + 4).\nAnswer: -301 + 15*sqrt(3)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, -5, -4383.\nAnswer: -4383, -5, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) be the second derivative of -32*r**5\/45 - 104*r**4\/27 + 61*r**3\/9 - 4*r**2 - 390*r. Let d(l) = 0. What is l?\nAnswer: -4, 3\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:41 AM and 5:22 PM?\nAnswer: 341","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Express -3*a**3 + 2*a**2 + 8 - a + 7*a - 3 + a**3 - 4 as o + z*a**2 + w*a**3 + l*a and give z.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_test"},"subset":"dm_maths"} +{"text":"Question: Let h = -4 + 9. Solve -11 + 1 = -h*l for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -230 or -262?\nAnswer: -230","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) = -a**3 + 5*a**2 + 4*a + 11. Let n be g(6). Which is bigger: n or -112?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum 9836 and 0.3.\nAnswer: 9836.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 483 and 161961975?\nAnswer: 161961975","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-3)\/15 + (-62)\/(-10). Find the second derivative of -4*p**3 + n*p**3 - 3*p + 3*p**3 - 3*p wrt p.\nAnswer: 30*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) = -r - 6. Let x(t) = 3. Let g(k) = 2. Let p(d) = 3*g(d) - x(d). Give -5*p(a) - 2*z(a).\nAnswer: 2*a - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 140483*g - 504 + 162 = 140426*g for g.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -8398 - -156?\nAnswer: -8242","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -1555320351 plus -0.021774?\nAnswer: -1555320351.021774","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 32329393?\nAnswer: 17, 19, 101, 991","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*p - 7 = -3*u, 4 = u + 3*p - 7. Suppose -2 = -4*l + t + 4, u = l - 2*t. Let y(a) = -5*a**2 + a. Calculate y(l).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 1 - v**2 - 1 + (0*v**2 + 0*v**2 + v**2)*(2 + 1 - 4) + (6*v + 56 - 56)*(-14377 - 135*v + 14377) as g*v + o*v**2 + m and give o.\nAnswer: -812","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 14744 and 6658759.\nAnswer: 1843","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) = -2*c**3 + 42*c**2 + c - 46. Let h be p(21). Which is bigger: -14 or h?\nAnswer: -14","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*b + 4 = -0*b. Suppose 29008 = 2*y + b*j, 20336 = 2*y + 4*j - 8680. What is y rounded to the nearest 1000?\nAnswer: 15000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 9, 28, 97, 246, 505, 904, 1473, 2242?\n\"Answer: 5*u**3 - 5*u**2 - u + 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) = 4*x**2 - 2*x - 3. Let v(d) = 20*d - 273. Let b be 80\/24*(-168)\/(-35). What is the remainder when v(b) is divided by a(-2)?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*x - 12 = 8. Suppose -3*d = -x*d + 27. What is the highest common divisor of d and 18?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -0.03 + -0.97. Let u = 252 + -257. Which is the second smallest value? (a) n (b) 0.2 (c) u\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 121 - 487\/4. What is the closest to 0.1 in 3, p, -5?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 2.94 - -0.06. Let k = -4.4 + -0.6. Which is the third biggest value? (a) 5 (b) k (c) d\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2010? (a) 5 (b) -42 (c) 3\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(77) + sqrt(77)*2)*5)\/(5*sqrt(7)*-1).\nAnswer: -3*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 263? (a) -5 (b) 3\/2 (c) -4 (d) 2\/9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1071?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 5 a factor of 6515?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Determine a, given that 2*a**2 + 4*a - 240 = 0.\nAnswer: -12, 10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) = -z**3 - 3*z**2 + z. Let t(h) = 1 - 2*h - 2 - 2. Let g be t(-6). Suppose -12 = -d - 3*d, a - 2*d + g = 0. Give w(a).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 449 (base 13) to base 5\nAnswer: 10422","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: -2 + (0 - 5) - ((27 - -6) + -16)\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:59 AM and 7:22 AM?\nAnswer: 203","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4628 is divided by 12?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -8\/511 + 754\/1533. Which is bigger: n or -1?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor s**3 + 559378*s**2 - 2237525*s + 1678146.\nAnswer: (s - 3)*(s - 1)*(s + 559382)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*j - 8 = -5*m + 27, 0 = 5*j + 5*m - 45. Suppose 4*k + 40 = 2*s - k, 5*s - 115 = j*k. Solve -3*l + s = 2*l for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is s in -s**2 + 143*s - 952 = 0?\nAnswer: 7, 136","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) be the second derivative of -145*h**4\/4 + 3277*h**3\/6 + 15*h - 9. What is the second derivative of p(l) wrt l?\nAnswer: -870","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 37 and 341456387?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -82*l**2 + 10*l**5 - 5*l**4 - 33521 + 33521 wrt l?\nAnswer: 600*l**2 - 120*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) be the first derivative of 49*s**4 - 112*s**3\/3 + 8*s**2 + 18. Solve h(y) = 0.\nAnswer: 0, 2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 315 and 73710.\nAnswer: 73710","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 839*y**3 - 1579*y**3 + 943*y**3.\nAnswer: 203*y**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) = -20 + 2 - 5*t - 5. Let z be o(-5). Solve 5*q + 0*n = 2*n, -z*q - 5*n + 29 = 0 for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*r**4 + 2*r**4 - 3*r**4)*(-2*r + 10*r - r).\nAnswer: 14*r**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in seventeen sixths of a century?\nAnswer: 3400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 5766526 (base 9) in base 10?\nAnswer: 3114717","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 3*a**3*y**2 + 4*a**3 + a**2*y**2 + 3645*a**2*y - 17834*a*y**2 + a + 2*y wrt y?\nAnswer: 6*a**3 + 2*a**2 - 35668*a","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 1556 - 3027\/2. Let b = j - 343\/6. What is the common denominator of -54\/5 and b?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 14234003255 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) = 2*o**2 - 6*o - 3*o**2 + 2 + 3*o + 2. Let j be l(-3). Suppose 0 = -c - 4*b + 20, 138 = j*c - 3*b + 20. Is c a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) = -a**5 + 3*a**4 + 3*a**3 - 5*a**2 + 3. Let m(p) = -p**4 + p**2 - 1. Let z(v) = l(v) + 3*m(v). Determine h, given that z(h) = 0.\nAnswer: -2, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 2004483 to the nearest one hundred thousand.\nAnswer: 2000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 24 + 30. Calculate the highest common divisor of r and 18.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) = -t**3 + 42*t**2 - 55*t - 25. Is p(-22) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) = s**3 - 8*s**2 - 9*s + 4. Let w be y(9). Suppose -2*c - 1894 = w*f, f = c - 301 - 180. Let a = -109 - f. Is a composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be -16*1\/((-4)\/7). Suppose -23*l + 74 - t = 0. Solve 9 = -l*k + 5*k for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 8? (a) 4 (b) -6 (c) -78 (d) -0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) be the first derivative of j**4\/30 - 1352*j**3\/45 + 114244*j**2\/15 + 6486. Factor i(w).\nAnswer: 2*w*(w - 338)**2\/15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 122, 4, 68, 3, 73 in decreasing order.\nAnswer: 122, 73, 68, 4, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 3 - 0. Suppose 14*k = 11*k + 4*k - 8. Suppose 2*c + k = 5*w, -4*w - t = -c - 10. Solve 3*y - a + 4 = -c, 2*y = 5*a + 1 for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 265 a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 537315477 is divided by 98.\nAnswer: 97","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 620665.\nAnswer: 5, 124133","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0.1685 + 82.5315. Let y = -83 + x. Which is the nearest to 0? (a) y (b) 5 (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -110110000101110 - -1000?\nAnswer: -110110000100110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Add together -0.1 and -537.33.\nAnswer: -537.43","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -2493846*l**2 - 93725?\nAnswer: -4987692*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence tua when three letters picked without replacement from quqtqqtqquaatquuutq.\nAnswer: 20\/2907","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) = -269 - 2*k**2 - k + 135 + 138 - 4*k**3 + k**3 + 2*k**3. Determine o(3).\nAnswer: -44","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 1\/20 of a gram?\nAnswer: 50000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -2513, -6413, -10269, -14075, -17825?\n\"Answer: k**3 + 16*k**2 - 3955*k + 1425","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -54807 = 576*w - 11607 for w.\nAnswer: -75","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 81 + -162 + 10 - -26?\nAnswer: -45","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 410 minutes before 10:18 PM?\nAnswer: 3:28 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is (8\/3)\/((-418)\/(-3135)*(-6)\/(-9))?\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -8 + 1964*b**2 - 6 - 2036*b**2 + 6 to y + o*b**2 + m*b and give o.\nAnswer: -72","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ctfb when four letters picked without replacement from stccsfb?\nAnswer: 1\/420","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 38036, 152132, 342290, 608510, 950792, 1369136?\n\"Answer: 38031*c**2 + 3*c + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -52*g**4*u**3*w + 3241484*g**4*w + 2*g**2*u*w + 2*g**2 - 2*u**3*w - 15*u**2*w + u - 45273 wrt g?\nAnswer: -1248*g*u**3*w + 77795616*g*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -0.274 - -3.214. Let q = 2.807 - k. Let c = q + 0.187. Round c to one decimal place.\nAnswer: 0.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (4 - 0)*149\/4. Let n be -2*h\/4*-494. Suppose l + 0*x = 2*x + 9198, 4*l + 3*x = n. Round l to the nearest one thousand.\nAnswer: 9000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) = 6*m - 9. Let g be v(2). Let k be 39 + -6*2\/g. Suppose -k = -7*x + 2*x. What is the units digit of x?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -0.4, -5, -0.22, -77\/8?\nAnswer: -0.22","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -7*g**3 - 4*g + 32 wrt g?\nAnswer: -42*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Express (-414*f**2 - 8216 + 8216 + (-2 - 2*f**2 + 2)*(0 - 1 + 2) + f**2 + 3*f**2 - 3*f**2)*(21 - 21 - 2*f) in the form d + p*f**2 + c*f + t*f**3 and give d.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*p**2\/4 - 15205*p\/4 + 7605\/2.\nAnswer: -5*(p - 1)*(p + 3042)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 1176155 a multiple of 486?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sum -154.519 and 23567.\nAnswer: 23412.481","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 640.8 + 1725804\nAnswer: 1726444.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 6230111880 plus 0.0155?\nAnswer: 6230111880.0155","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 11377 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: Let c be 4614\/14 + (-3)\/147*-21. Let x = c + -324. Solve 0*k = -2*k - x for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 394 divide 242704?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 205*o**4*s + 2*o**4 + 10*o**2*s + 45252*s with respect to o.\nAnswer: 820*o**3*s + 8*o**3 + 20*o*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1083, 350, -383, -1116, -1849, -2582?\nAnswer: -3315","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*n - 4*n + 12 = 0. Solve -r**n - r**3 + 2*r - 6*r**4 + 6*r**2 + 0*r = 0.\nAnswer: -1, -1\/3, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1295?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16*f + 2 = -15*f. Let x = f + -13. Let m be x\/(-5) - 2 - 718\/(-10). What is the greatest common divisor of 8 and m?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*sqrt(1944)*1 + sqrt(1944) - -1*(sqrt(1944) + sqrt(1944) + -1*sqrt(1944)))\/((2*(sqrt(12) + sqrt(12)*2) + sqrt(12) + 5*sqrt(12)*2)*6).\nAnswer: 6*sqrt(2)\/17","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) = 17*q - 3. Give t(7).\nAnswer: 116","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*v + 14 = -110489*j + 110488*j, -3*v + 2*j = -31 for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -8.01 + 0.01. Let s = 8 + f. Sort -4, s, -0.1 in increasing order.\nAnswer: -4, -0.1, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 1, 2, -6 in decreasing order.\nAnswer: 2, 1, -1, -6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) = 10*k - 14*k + 8*k. Let l(q) = -q. Determine l(z(a)).\nAnswer: -4*a","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -39*i - 84*i + 181*i to the form y + w*i and give w.\nAnswer: 58","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 535 to the power of 1\/3, to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Convert 200 (base 5) to base 7.\nAnswer: 101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express h**4 - 266*h**3 - 4*h - 266*h**3 + 533*h**3 in the form t*h**3 + r*h**4 + a*h + m + l*h**2 and give a.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 v and 2 n when three letters picked without replacement from nvvnvvnvnnnggvnng.\nAnswer: 21\/85","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange ((3 - 3 + y)*(-y - 4*y + 4*y) - 72*y**2 - 142*y**2 - 72*y**2)*(-y + 6*y - 2*y) to k*y + p*y**3 + z + l*y**2 and give l.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*t = 11*t - 56. Solve t*n = 2*x + 18, x + 4*n - 14 = 1 for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -125\/258 - 2\/129. Let n = 2 + 4. Which is the third smallest value? (a) n (b) -1 (c) 1 (d) i\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 14 - -334?\nAnswer: 403","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*i - i + 85. Let r be 1*(-8 - -1)*-1. Suppose r = -a + i. What is the units digit of a?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*x + 4*y - 17 = 0, -2*y + 5*y = -3. Let k(v) = 2*v**3 + 33*v**2 - 17*v + 14. Calculate the remainder when k(-17) is divided by x.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 134\/40 - 11*30\/825 and 97\/100.\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be -5*1 - (-108)\/18. Let q(f) = -26*f + 1. Give q(k).\nAnswer: -25","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -31 - -5 - (1 - (-21 - -10))\nAnswer: -38","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*k - 104 = -16 + 28 for k.\nAnswer: -29","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify s**(-2\/5)*s**4*(s\/((s\/s**(-2\/7))\/s))**(4\/31) assuming s is positive.\nAnswer: s**(4006\/1085)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -5, 8, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from rblbbdtdbbbdrb. Give prob of picking 1 r and 3 d.\nAnswer: 2\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) = 15*w + 758. Give f(-39).\nAnswer: 173","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (8*o**2 + 12*o - 12*o)*(-7*o - 3*o**2 + 11*o - 2*o) to the form m*o + f*o**3 + z*o**2 + v*o**4 + h and give f.\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) 0.4 (b) -2 (c) 2 (d) 3\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.5 and -187.467?\nAnswer: -93.7335","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is (-8)\/(-44)*(-101816)\/(-448916)?\nAnswer: 4\/97","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) = 4*l - 22. What is w(3)?\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.008345177 rounded to 4 dps?\nAnswer: -0.0083","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 190294*f + 323287 with respect to f.\nAnswer: 190294","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c*c*c\/c**(-10)*c\/c**(-1\/6))\/(c*(c\/(c*c*c**(-1)*c)*c)\/c)**(17\/5) assuming c is positive.\nAnswer: c**(85\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 131, 532, 1205, 2156, 3391, 4916?\nAnswer: 6737","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many microseconds are there in 0.1265832 weeks?\nAnswer: 76557519360","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:21 AM and 11:39 AM?\nAnswer: 618","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*(sqrt(91) + -2*sqrt(91)))\/(sqrt(84)\/(sqrt(12)*-2)).\nAnswer: -12*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 9190301 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 6 minutes before 3:23 PM?\nAnswer: 3:17 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*n + 0*j - 4*j = -4, 4*n + 1 = j. Solve 3*s = k - 13, 30*s - 26*s - 4*k + 28 = n for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -585 = -4*b + 5*k, -b = b + k - 275. What is the greatest common divisor of b and 20?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 924 by 12.\nAnswer: 77","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 3804.9 + -3801.6066. Round y to one dp.\nAnswer: 3.3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*l - 5*t + 20, -3*l - 3*t = -7*t - 19. Suppose -12 = -4*p - h, 4*p = -h + 6*h - 12. Solve -l = -p*u - 13 for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 64, 1, -0.117, -0.3, 0.7.\nAnswer: -0.3, -0.117, 0.7, 1, 64","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 117 = 4*j - t, -2*j - 9*t + 54 = -5*t. Suppose 5*a = -3*z + j, 4*a + z - 30 = 2*z. What is the remainder when 14 is divided by a?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2\/57? (a) 1 (b) -0.4 (c) -2\/13 (d) -477\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -444309*a**6*r + 2*a**6 + 9890*a**2*r - 116*a**2 wrt a.\nAnswer: -53317080*a**3*r + 240*a**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -3222 + 304440?\nAnswer: 301213","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c**(1\/9)\/c)\/(c*c**13*c) assuming c is positive.\nAnswer: c**(-143\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 16 a factor of 1067824?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 10 (b) -4 (c) 22\/3 (d) 1 (e) 4\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 2\/9 (b) -3\/14 (c) -3\/323 (d) 0.27\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 319546276?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -39*(62227\/(-22628))\/(((-33)\/8)\/3)\nAnswer: -78","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 152356?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -449686936536*s**5 + 4946548088916*s**4 - 35974774237395*s**3\/2 + 43169288869881*s**2\/2 + 394221540*s + 1800 = 0.\nAnswer: -5\/547532, 3, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((1 + ((sqrt(245) + 2)*-5 + sqrt(245) - sqrt(245)))*-6*-3)**2.\nAnswer: 204120*sqrt(5) + 2010744","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.3 in 1\/10, 1\/3, -0.03?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) be the third derivative of -j**7\/9660 + j**6\/690 - 3*j**5\/460 + j**4\/69 - 62*j**3\/3 - 69*j**2. Let m(k) be the first derivative of g(k). Factor m(x).\nAnswer: -2*(x - 4)*(x - 1)**2\/23","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) = 3*j. Suppose 3*n + 8 - 26 = 0. Let f = n - -1. Let i(u) = u + f - 7. Calculate i(s(v)).\nAnswer: 3*v","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -6 (b) -169 (c) -1\/6 (d) 2\/29\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*c - 3*u = 3307, -3*u + 346 - 1175 = -c. What is the greatest common divisor of c and 182?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) = -d**2 + 2*d + 1. Let w be i(3). Let b be w\/(-12) + 131\/6. Calculate the greatest common factor of 2 and b.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -51682410, -51682407, -51682404?\n\"Answer: 3*l - 51682413","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 2326 - 2325.96052. Round c to 3 decimal places.\nAnswer: 0.039","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-11)\/(((-80)\/(-24))\/(-10)). Let n(h) = -h + k*h**2 - 11*h**2 - 21*h**2 + 13. Suppose -5*f = 5*l, -2*f - l + 3*l = 0. Determine n(f).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 7\/15 + -5\/12. Let p(n) be the second derivative of -1\/15*n**6 + 1\/6*n**4 - t*n**5 + 1\/6*n**3 - 2*n + 0*n**2 + 0. Solve p(r) = 0.\nAnswer: -1, -1\/2, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 156 + 16715\nAnswer: 16871","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4261.9815 hours to weeks.\nAnswer: 25.3689375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sum 0.403691 and 2.\nAnswer: 2.403691","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*z**3\/5 + 5699946*z**2\/5 + 34199769*z\/5 + 5699964 = 0. What is z?\nAnswer: -5, -1, 1899988","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) = 3*n - 1. Let b(r) = 8*r - 158. Let d(h) = b(h) - 6*g(h). Calculate the remainder when 46 is divided by d(-16).\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence wi when two letters picked without replacement from {w: 4, d: 6, i: 2, o: 1}?\nAnswer: 2\/39","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 131\/7980 and -103\/578208?\nAnswer: 20237280","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-7 + 10)*(-16)\/6. Let z = 42 - x. Let u = -18 + z. What is the greatest common factor of u and 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -2\/3, 49, 0.005?\nAnswer: 49","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -275 + -3158?\nAnswer: -3433","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -9 - -13. What is the third derivative of 0*x**4 + x**t + x**4 - 5*x**4 - 2*x**2 wrt x?\nAnswer: -72*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 x when two letters picked without replacement from qjcjqqxqjxxcq.\nAnswer: 1\/26","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*t + 0*t = -3*g - 85549, g - 106960 = -5*t. Suppose -3*n = 4*m - 18890, -4*m + n - 2509 + t = 0. Is m a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_test"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 185500644?\nAnswer: 2, 3, 7, 293, 7537","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*c = -3*c - 145. Calculate the remainder when c is divided by 11.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 22311020300 (base 4) to base 7.\nAnswer: 33063140","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10*k - 62 = -2*l, 5*k + 2*l + 36197 - 36234 = 0 for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -3 - -1 - -5 - (-19 - -21)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3*((-6)\/(-81))\/(14\/18).\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 788?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -0.3 - -0.6. Let u = 166 - 150. Suppose 0 = s - 2*y - 3, 3*s + u*y - 2 = 15*y. Which is the smallest value? (a) j (b) -2.1 (c) s\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*m**2\/3 - 1804*m - 5410\/3.\nAnswer: -2*(m + 1)*(m + 2705)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is -224720 greater than or equal to -223992?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 138 and 66?\nAnswer: 1518","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) = x**2 + 14*x - 8. Let z be d(-15). Solve z*b + 13 + 1 = 0 for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 182 - -71. Let u = -26 - -18. Let l be (23\/4)\/((-2)\/u). What is the highest common factor of l and s?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) be the first derivative of 4*v**3\/3 - 15*v**2\/2 + 16*v + 13. Let r(u) = 11*u**2 - 44*u + 49. Let p(c) = -8*g(c) + 3*r(c). Does 14 divide p(13)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-2 - -3) + -4 + -3. Calculate the remainder when 66 is divided by ((-9)\/k)\/(6\/96).\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -630 or -8176\/13?\nAnswer: -8176\/13","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (6 - -2) + 0 + (-4 - -1).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-8 - (-38 - 37)) + -38.\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_test"},"subset":"dm_maths"} +{"text":"Question: What is 250 minutes before 5:26 AM?\nAnswer: 1:16 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 q, 1 h, 1 t, and 1 x when four letters picked without replacement from {q: 3, z: 1, x: 2, t: 4, h: 2}.\nAnswer: 16\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 107\/13224 and -151\/866172.\nAnswer: 1732344","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -20 + 22. What are the prime factors of k?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4446*y**3 - 679*y**3 + 3*y - 2*y - y.\nAnswer: -5125*y**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0 or -42\/1648639?\nAnswer: -42\/1648639","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in eighteen fifths of a century?\nAnswer: 360","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 - 18 - (-3 - (-3 - -5 - -3))?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 227 divide 12239840?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) = -58858300*u. Let j(w) = 3*w**2. What is y(j(g))?\nAnswer: -176574900*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 96 and 24036?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -13 (b) 3\/5 (c) 1\/4 (d) -0.6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -213*y + p - 24 = -217*y, 2*p = 58*y - 385 + 103 for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_test"},"subset":"dm_maths"} +{"text":"Question: Let f = -162 + 162. Factor -27*t**3 + t**2 - 11*t + f + 28*t**3 + 10*t - 1.\nAnswer: (t - 1)*(t + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-a - 3*a + 3*a)*(-48*a - 63*a + 41*a)*(8*a**2 - 5*a**2 + 2*a**2).\nAnswer: 350*a**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*(0 + sqrt(19)))**2 + -3.\nAnswer: 681","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -0.249 + 0.253. Let c = v - -5.316. What is c rounded to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 16 + -682.\nAnswer: -666","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 4\/((-32)\/928*-4)\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*x + 2*x + 0*i - 8*i + 188 - 212 = 0, 2*x - 2*i + 58 = 0 for x.\nAnswer: -32","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Round -122179 to the nearest ten thousand.\nAnswer: -120000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 441 and 81.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*q - 8*q = -4*u - 10, 5*u - 4*q + 8 = 0. Solve u = 18*o - 52*o - 204 for o.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1296\/1118124*(-391)\/46?\nAnswer: -2\/203","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 12509506.\nAnswer: 2, 1871, 3343","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 18071651 to the nearest integer?\nAnswer: 4251","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 27066.5 - 27067. What is the nearest to -2\/7 in b, 0.1, 2580?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*t = -y + 18, -3*y + 3*t + 0 = 6. Let g = 0.3 - 0.8. Sort 0.4, y, g in descending order.\nAnswer: y, 0.4, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 232?\nAnswer: 2, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) = h + 1. Let y be v(-12). Let j be (2\/1 + 0)*y\/(-2). Let a = j + -3. Calculate the greatest common divisor of 64 and a.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -10, -7, -1\/76, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) = 60 - 2*p**3 - 3*p**2 + 22*p + p**3 - 3*p**2 - 34*p - 2*p**2. Let q be s(-10). Calculate the greatest common divisor of q and 20.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -0.09 + -94.91. Let n = 41 + p. Let g = n + 54. Which is the third biggest value? (a) g (b) 1 (c) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 116824806 to the power of 1\/3, to the nearest integer?\nAnswer: 489","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-156)\/13)\/6*1\/2*-13?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) = -4*a + 4. Determine d(6).\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) 5 (b) 0.4 (c) -2\/3 (d) 14\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) be the second derivative of -o**6\/40 - 5*o**3\/6 + o**2\/2 - o. Let c(z) be the first derivative of t(z). What is the derivative of c(u) wrt u?\nAnswer: -9*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) be the second derivative of m**5\/60 - m**4\/2 + 35*m**3\/6 - 15*m**2 - 59*m. Let w(l) be the first derivative of i(l). Factor w(f).\nAnswer: (f - 7)*(f - 5)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 681378?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) = -3*x**2 + 6*x - 5 - 2*x**2 + 2*x**2 - 2*x**2 + x**3. Let a be d(4). Let z = 3 + a. What are the prime factors of z?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 10? (a) 5 (b) 14 (c) 2 (d) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {i: 3, q: 1}. Give prob of picking 2 i.\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 335 is divided by 6?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -989179, -989205, -989231, -989257, -989283?\n\"Answer: -26*i - 989153","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 1 + 2)*((3*k**2 - k**2 - 4*k**2)*(-2*k + 4*k - 11*k) + 3 + k**3 - 3).\nAnswer: 57*k**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) be the first derivative of -z**4\/6 - z**2\/2 - z + 6. Let p(u) be the first derivative of b(u). What is the first derivative of p(y) wrt y?\nAnswer: -4*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) = -w**3 + 13*w**2 - w + 16. Let g = -64 + 77. Give q(g).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 50 - -830?\nAnswer: 880","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 105019 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) = -18*b + 62. Let j be v(3). Suppose -4*l = -3*a + j, l = 15 - 17. Solve -6*p = -a*p + 24 for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3241809, 3, 1.\nAnswer: -3241809, 1, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {n: 7, r: 6}. What is prob of sequence nr?\nAnswer: 7\/26","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -4.58 (b) 1\/2 (c) -0.02 (d) -0.4 (e) -26\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 21\/5 of a milligram in micrograms?\nAnswer: 4200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 17920?\nAnswer: 2, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -12 - 32. Let k = -45 + q. Let l = k - -84. What is the third smallest value in 16, l, 2?\nAnswer: 16","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((k**(-1)\/k)\/k*k)**(-27)\/(k**(-1)*k\/(k\/((k**(-5)*k)\/k))))\/((k\/((k\/(k*k**4))\/k*k))\/k*k*k\/((k*k**(-3))\/k))**(-41\/3) assuming k is positive.\nAnswer: k**183","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 5264728 and 39032?\nAnswer: 2296","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 21565 to the nearest integer?\nAnswer: 147","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 8.43 - -653.57. Let k = l - 658. Sort 2\/11, 14, k in increasing order.\nAnswer: 2\/11, k, 14","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 895 and -3.2.\nAnswer: -2864","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -7 divided by -2947?\nAnswer: 1\/421","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.13 + -2323463?\nAnswer: -2323463.13","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c\/c**(-1\/3))**(-2\/31)*c**(-3\/5)*c*c\/(c\/(c*c\/((c*c**(3\/5))\/c*c)))*c assuming c is positive.\nAnswer: c**(797\/465)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 22 - 22. Solve 5*i - 20 = -a*i for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 15500 and 1190?\nAnswer: 1844500","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) = 2*k**2 + k + 2*k**3 - 2*k**3 + k**3. Let x be a(2). Let c = x - 3. What is the units digit of c?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 0.278 + -0.278. What is the closest to c in 4\/3, 7, -1.1, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 1\/5 - (-10)\/(-40) and 9\/(-12)*(-600)\/(-36).\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -18.5 + 17. Let o = 1 + u. What is the third smallest value in o, -4, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2314*n - 49320 = 29356 for n.\nAnswer: -34","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 157 - 159. Suppose -3*r = 5*t + 14, -t + 4*r - 2*r = 8. Put a, t, -3, 3 in decreasing order.\nAnswer: 3, a, -3, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) = r**3 + 17*r**2 - 28*r + 111. Give u(-14).\nAnswer: 1091","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) = z**3 - 35*z**2 + 1. Let c be a(35). Let m be (-4)\/(3\/(36\/(-8))). Put m, c, 3 in decreasing order.\nAnswer: m, 3, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*i - i - 172 = 0. What is the tens digit of i?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 53.085092 times 0.3?\nAnswer: 15.9255276","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) be the third derivative of c**9\/14 + 17*c**5\/30 - 12*c**2. What is the third derivative of v(y) wrt y?\nAnswer: 4320*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence wwo when three letters picked without replacement from oooooowwwow.\nAnswer: 14\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 367*i**3*v**2 - 2761*i**3 + 57*v wrt v?\nAnswer: 734*i**3*v + 57","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) be the third derivative of -p**8\/840 - p**6\/180 - p**3\/3 + p**2. Let l(n) be the first derivative of r(n). Find the third derivative of l(d) wrt d.\nAnswer: -48*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 8144 is divided by 7921.\nAnswer: 223","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) = -2*i + 6. Let o(g) = -2*g + 9. Let v(h) = -2*o(h) + 3*z(h). Let c(y) = -4*y + 5*y + 5*y. Give c(v(n)).\nAnswer: -12*n","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Convert -3354 (base 13) to base 6.\nAnswer: -53103","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*c + 3*c = 0. Suppose 6*v + 2*b - 6 = 3*v, -2*v + 3*b + 17 = c. Solve d - v*w + 18 = 0, 5*d + 3*w = w + 20 for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (r - 2*r + 0*r)*(-4 + r + 4) + 3*r**2 + r**2 - 5*r**2 + 145*r - 145*r - 11*r**2 + 2.\nAnswer: -13*r**2 + 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) be the second derivative of n**3\/6 + 11*n**2\/2 - 2*n. Let c be (-2)\/(-2) - (-1)\/(-1). What is the smallest common multiple of y(c) and 11?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 10885438 to the power of 1\/5, to the nearest integer?\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -19*i - 244 = 117. Put -2, 2, 3, i in ascending order.\nAnswer: i, -2, 2, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9*p + 4*i = -47, -2*p - 13 - 18 = 5*i for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*j + 3*w - 93, j - 18 = 2*w + 11. Suppose 6*y = 111 + j. 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 (31 - 1) + (31 - 50) - -27?\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand -52*z - 4187 + 23*z + 30*z + (1 - 1 - 2)*(-z - z + 0*z).\nAnswer: 5*z - 4187","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -0.338 + 0.424. Let y = -0.414 - d. What is the second smallest value in 15, y, 0.2, -2?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 391584 is divided by 535.\nAnswer: 499","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*i = 0, -2*i = -0*h - 2*h - 4 for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sort 94, 26, -347, -2\/7, -3 in descending order.\nAnswer: 94, 26, -2\/7, -3, -347","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 7674.798 litres in millilitres?\nAnswer: 7674798","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -53*u - 45*u - 3*u + 249066 = 0. What is the thousands digit of u?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 3, 0, -2, 0.3, -99?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -18379, -18231, -18083, -17935, -17787?\n\"Answer: 148*p - 18527","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) = -m + 8. Let g be c(4). Suppose -6 = -3*y + 9. Solve y = 3*p - g*p for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 411, -28, 3 in descending order.\nAnswer: 411, 3, -28","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o\/o**(-2\/9)*o**10)**(-49))**34 assuming o is positive.\nAnswer: o**(-168266\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o*o*o**(-5\/13))\/((o\/o**24)\/o)*((o**(-8\/9)*o)\/o*o)\/(o*o**(-1\/16)))**(-1\/16) assuming o is positive.\nAnswer: o**(-46405\/29952)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.3 in -2\/405, -0.8, 0.1, -0.17?\nAnswer: -0.17","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5 divided by -1426.\nAnswer: 5\/1426","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5 - 3 + 0)*(-1 + 25*o**2 - 11*o**2 + 24*o - 13*o**2) + o**2 - 3*o**2 - 3*o**2.\nAnswer: -3*o**2 + 48*o - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o*o**(-9\/8))\/(o\/(((o\/o**(-1\/3))\/o*o)\/o))*o\/(o\/o**(-1\/41))*o\/(o*(o\/(o*o**21*o))\/o))**(-20) assuming o is positive.\nAnswer: o**(-109145\/246)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -28 + -15c?\nAnswer: -186","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -9*b + 5191 + 3890. What is the remainder when b is divided by 22?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1517418311 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -d3a (base 14) in base 3?\nAnswer: -10120022","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Determine g, given that -2*g**5 + 5457504*g**4 + 27287596*g**3 - 70947696*g**2 + 38202598*g = 0.\nAnswer: -7, 0, 1, 2728757","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 687, 1437, 2187, 2937, 3687, 4437?\n\"Answer: 750*i - 63","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 3404107 and 5349311?\nAnswer: 37445177","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -8 + 6b50c?\nAnswer: 6b504","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*k = 2*k - 36. Suppose 0 = 3*n - k - 3. Suppose -80 = -n*x + 4*c, -5*x + 25 + 25 = 5*c. Is x a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (9\/6)\/((-15)\/20). Is (7 + -8)\/(c\/538) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -a**2 - 71820*a - 71819.\nAnswer: -(a + 1)*(a + 71819)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 1806, 3599, 5392, 7185, 8978, 10771?\n\"Answer: 1793*i + 13","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*c - 3*q = -35, 3*c - 33 = 2*q + 26. Suppose 2*d + 5*a = 30, 3*d - 4*a - 37 = -15. What is the remainder when (c\/(-4))\/(2\/(-8)) is divided by d?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be ((-120)\/64)\/(6\/(-4)). Let f = -1 + -11. Put -2\/3, f, b in descending order.\nAnswer: b, -2\/3, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 46 a factor of 2162453?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -z = 3*z - 5*m - 923, -3*m + 252 = z. Let o = -175 + z. What is the tens digit of o?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -1065 - -2787. What is the units digit of m?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 414?\nAnswer: 2, 3, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) = -63*d - 54. Let q(f) = -4*f - 2. What is 18*q(y) - s(y)?\nAnswer: -9*y + 18","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 0.292 times 1\nAnswer: 0.292","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 672915107 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 250 minutes before 4:32 AM?\nAnswer: 12:22 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 99 + -99. Let h be 0 - -2 - (-27 + 3 + y). What is the greatest common divisor of 13 and h?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) = -l**3 - 41*l**2 - 135*l - 2202. What is n(-39)?\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -331, -672, -1001, -1306, -1575, -1796?\n\"Answer: 2*q**3 - 6*q**2 - 337*q + 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*w**3 - 12*w - 3*w - w.\nAnswer: -4*w**3 - 16*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find g such that -g**2\/3 - 7318*g\/3 + 7319\/3 = 0.\nAnswer: -7319, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Put -7\/5, 0.081, 1\/27 in ascending order.\nAnswer: -7\/5, 1\/27, 0.081","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ga when two letters picked without replacement from agaa?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Add together 0.3 and 5194.\nAnswer: 5194.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -6 - -30. Suppose 42*x - 19*x - 138 = 0. Solve 5*w = -2*b + h, -3*w + 3*b + x = -0 for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.5 take away 8184.93081?\nAnswer: -8184.43081","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g**(-7)*g*(g**(-1\/2)*g)\/g*g\/g**(-1\/8)*g\/(g**(-5)*g))\/((g**4*g**(1\/2)\/g*g)\/(g**1)**(-4\/7)) assuming g is positive.\nAnswer: g**(-305\/56)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) = 29*f**2 - 1. Suppose i + 2 - 2 = 0. Suppose -x + 2*r + 10 - 1 = i, 6 = 2*x - r. List the prime factors of n(x).\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 32808020 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2 in -981, 0.4, -0.02, -0.2, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 811 greater than 813?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -348.2116 - -4.1516. Let x = 341 + g. Let u = x - -0.06. Which is the second smallest value? (a) -4 (b) u (c) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 111199359941 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -38912 divided by 2048\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 666*h**4 + 2*h**3 + 31*h**2 - 58*h wrt h?\nAnswer: 15984*h + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -2.13 + 0.13. Let w = 1 - u. Let q be (0 + -2)\/(6*-1). Which is the biggest value? (a) w (b) -2 (c) q\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -22057*n + 17326*n + 6978 = -30870 for n.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*o + o + x = -4, -4*x = 2*o + 16. Which is smaller: o or 4\/9?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) be the first derivative of -4*v**6\/3 + 12*v**5\/5 + 4*v**4 - 4*v**3 - 4*v**2 - 7. Solve z(c) = 0 for c.\nAnswer: -1, -1\/2, 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of ((-3507)\/(-2))\/((204\/24)\/17)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) be the second derivative of -1\/6*m**4 + 2\/3*m**3 - 3\/2*m**2 + 3*m + 0. Determine c(2).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -37447, -149885, -337273, -599605, -936875, -1349077, -1836205, -2398253?\n\"Answer: j**3 - 37481*j**2 - 2*j + 35","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -10100110000 - -110000111?\nAnswer: -1110101001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000243840058 rounded to 6 decimal places?\nAnswer: 0.000244","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 h and 2 n when three letters picked without replacement from {z: 1, j: 2, n: 2, h: 1, s: 2}.\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 times -390676?\nAnswer: 1562704","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Round 5763.53095 to the nearest 10.\nAnswer: 5760","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) = -n**2 - 5*n. Let d be u(-5). Suppose d = -4*y - 0*y + 4. Calculate the lowest common multiple of y and 9.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 103801633 to the power of 1\/2, to the nearest integer?\nAnswer: 10188","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 1 + -5523388?\nAnswer: -5523387","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.3 and -2532?\nAnswer: 759.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 12986885 to the nearest integer?\nAnswer: 3604","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -1 + -101186?\nAnswer: -101187","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -48 divided by 1\nAnswer: -48","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) = 3*g + 1. Let a(i) = 1 - 4*i**2 + 3*i + 0*i**2 - 4*i**3 + 3*i**3. Let v be a(-5). Suppose 5*q - 15 = -x, q + v = 5*x - 12. Give y(q).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 81734*r**3 + 151 - 258720*r**3 - 206739*r**3.\nAnswer: -383725*r**3 + 151","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:27 AM and 3:59 PM?\nAnswer: 572","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.068 - 0.25542?\nAnswer: -0.18742","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) be the third derivative of -a**5\/60 + 17*a**4\/24 + 143*a**3\/6 - 71*a**2. Let s be b(23). Solve 0 = -3*w + 3*f, 0 = -s*w + 3*f + 4 + 2 for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -19 + 9. Let k = -0.921 - 8.669. Let w = k - s. Round w to one dp.\nAnswer: 0.4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 0.42101 at most 1.7?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -178 + 165.1. Round g to zero decimal places.\nAnswer: -13","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 671 - 3353\/5. Let o = -2\/239 + -472\/717. Put m, o, 2.4 in decreasing order.\nAnswer: 2.4, m, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*a = 2*m + 12, -5*a - 1 = 3*m + 14. What is the units digit of ((-18)\/(-8))\/(a\/(-16))?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r**(-21)\/(r**17*r))\/((r\/(r\/(r**9\/r)))\/(r\/r**27)))**(-6) assuming r is positive.\nAnswer: r**438","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*o + 16 = -5. Let g(u) be the second derivative of u**4\/12 + 7*u**3\/6 + 3*u. Let s be g(o). Solve -2*z - 3*z + 15 = s for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 159211874?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 0.3251715 micrograms?\nAnswer: 0.0003251715","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 7 - -18bb0?\nAnswer: 18bb7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -53 - -26. Let o = -4 - t. What is the units digit of o?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, 5\/4, 1\/11, 0.6 in decreasing order.\nAnswer: 5\/4, 0.6, 1\/11, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 6*q - q + 35, -7*a = -4*q - 7 for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 480293 and 50666.\nAnswer: 517","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 367 is divided by 74.\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 1.09 + -0.59. Put 0.4, -0.1, q, 0.3 in decreasing order.\nAnswer: q, 0.4, 0.3, -0.1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) = -o**3 + o + 136. Let u be b(0). Suppose -u = -4*n + 664. Suppose -5*s + n = -0*s + f, 5*s + 4*f - 200 = 0. Is 20 a factor of s?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -782300 or -782307?\nAnswer: -782307","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) = -l**2 + 13*l - 25. Calculate d(9).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 477078, 477089, 477100, 477111, 477122?\n\"Answer: 11*g + 477067","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) be the first derivative of -3*w**6\/2 - 2*w**5\/5 + 10*w**4 + 2*w**2 + 78*w + 1412. What is the second derivative of v(n) wrt n?\nAnswer: -180*n**3 - 24*n**2 + 240*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) = -s + 2. Let t be o(-7). Let r = t + 6. What is the tens digit of r?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -0.7, 1, -4\/9?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Round 7038.7249 to the nearest 1000.\nAnswer: 7000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 107\/54 and 64\/21.\nAnswer: 378","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Sort -51969, -14, 0, -85 in decreasing order.\nAnswer: 0, -14, -85, -51969","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0.06 - 1.06. Let u = 0.25 - x. Round u to one dp.\nAnswer: 1.3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 360586 is divided by 623?\nAnswer: 492","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -1705 - -1723. Suppose -3*k + 0*q + 104 = 4*q, 0 = -5*k - q + 179. Calculate the highest common factor of k and o.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) = b + 27. Determine v(0).\nAnswer: 27","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 235*b + 15 - 180 - 600 = 175. Factor -20\/3*u**2 + b - 34\/3*u.\nAnswer: -2*(u + 2)*(10*u - 3)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-10)\/((-3)\/((-8)\/(8\/3)))\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -1\/4 (b) 1 (c) -603 (d) 4 (e) 12\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -5 + 41. What is the common denominator of 5\/6 and (-2)\/4 + (-130)\/n?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) = 1. Let g(a) = -107*a**2 + 2*a - 4. Let f(u) = g(u) + 5*x(u). Let h be f(-1). Let i = -753\/7 - h. What is the second biggest value in -11, i, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (69384\/(-728) - -95) + (-75)\/(-286)?\nAnswer: -1\/22","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) = -p**2 - 4*p + 14. Let x be i(-6). Calculate the common denominator of x\/4 + 54\/(-42)*3 and -91\/10.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 584048666 to the nearest integer?\nAnswer: 24167","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 2741 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -1130 + 1132. Let h(j) be the first derivative of 1\/3*j**6 - 1\/2*j**4 + 4 + 0*j**3 + 0*j**5 + 0*j**u + 0*j. Factor h(d).\nAnswer: 2*d**3*(d - 1)*(d + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 267321 times -102\nAnswer: -27266742","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(396) + 0)**2*3 - (sqrt(396)*2 + 2))*5.\nAnswer: -60*sqrt(11) + 5930","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-9*u**2 - 6*u**2 + 6*u**2)*(-13 - 3 + 7).\nAnswer: 81*u**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*d**4 + 0 + 0)*(-40 - 7*d + 40).\nAnswer: -14*d**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i\/(i**9\/i))\/i**(1\/17))**(-1\/12)*(((i\/i**(-7))\/i)\/i**0)**(-11\/3) assuming i is positive.\nAnswer: i**(-1279\/51)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 1.135252*-0.06\nAnswer: -0.06811512","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) = -368 + 161 + 179 + 14*w. Let k = -14 - -21. Is 14 a factor of a(k)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 469182 (base 10) to base 16\nAnswer: 728be","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 577149?\nAnswer: 3, 192383","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 23 - 24. Is h*(2 + (-2700)\/4) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = -2*v, 3*b - 24*v = -21*v - 18. Let h(k) = k**3 + 8*k**2 + 6*k - 4. Let d be h(b). Solve -d = -4*f + 3*f for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 1343750 and 1881250.\nAnswer: 9406250","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (3\/(3 - 6))\/((-2191)\/28). Let l = g - 8467\/1252. What is the common denominator of l and 3858\/(-756) + (-2)\/7?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*k**4 - 20*k**3 + 376*k**2 + 2580*k + 3978 = 0. What is k?\nAnswer: -17, -3, 13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Determine u so that -2*u**5\/3 + 206*u**4 + 1868*u**3\/3 + 416*u**2 = 0.\nAnswer: -2, -1, 0, 312","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) = -5*l**3 - 21*l**2 + 8*l + 4. Let b(h) = h**3 + 5*h**2 - 2*h - 1. Let w(p) = -2*a(p) - 9*b(p). Calculate w(3).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -5 + 3. Let r(l) be the second derivative of -17*l**3\/6 - 2*l**2 - 20*l. Does 9 divide r(c)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*i + 40736914 = 5*i - 2*k, 3*i - 24442155 = -k. Let r(s) = -48023709*s - 34. Let j be r(-2). Suppose -3*f = -j + i. Round f to the nearest 1000000.\nAnswer: 29000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) be the first derivative of -9*j**2\/2 - 6. What is c(-1)?\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 16*n - 352*n**3 + 175*n**3 + 184*n**3 - 39*n**2 + 29*n**2 as h*n + t*n**2 + u + p*n**3 and give t.\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) = -33*j**3 - 114*j**2 - 115*j - 384. Let q(z) = 79*z**3 + 286*z**2 + 288*z + 960. Let k(r) = -12*a(r) - 5*q(r). Calculate k(63).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) -642\/7 (b) 4 (c) -0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*h = m + 3, -4*h + 91 = 5*m + 10. What is the highest common divisor of m and 52?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 49751\/6 - 8273. Let k = -66433 + 8769043\/132. Calculate the common denominator of h and k.\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) be the third derivative of -g**6\/120 - g**5\/12 - 4*g**2. Let z be s(-5). Solve 2*b - 5*b - 9 = z for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 14, -0.4, 1\/2, 0.3, -5, -174.\nAnswer: -174, -5, -0.4, 0.3, 1\/2, 14","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-2499)\/(-42))\/(448\/(-128)).\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) = 9*o**2 - 10*o - 56. What are the prime factors of b(-13)?\nAnswer: 5, 11, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from bpacacaxcabxabcpxccc. Give prob of picking 2 p.\nAnswer: 1\/190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when ((-1)\/(-2))\/((-18)\/(-1152)) is divided by 17?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) = -338*p + 509. Give r(3).\nAnswer: -505","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Convert a005c (base 16) to base 12.\nAnswer: 277390","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) = -3*m**2 + m. Let j(v) = -43*v**3 + 8*v**2 + 53*v. Let k(t) = -j(t) - 3*n(t). Find the second derivative of k(y) wrt y.\nAnswer: 258*y + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) = r**2 + 4*r - 5. Let f be m(-5). Suppose 4*x - 3*j + 18 = f, 2*x + 3*j = -0*x. Which is bigger: x or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*s + 9 = -0*s. Let o be (9\/6 - 2)*-4. Sort -0.1, o, s in ascending order.\nAnswer: -0.1, o, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 36\/(-54) - 7\/9*-6. Solve -m = 3*f - 4, 2*f - t*m + 17 - 1 = 0 for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) = -7*x - 16 + 11*x + 0 + 6*x. Let c be v(-13). Let i = 216 + c. Is 14 a factor of i?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*v + 363 + 122. Sort -1.8, v, -4.\nAnswer: v, -4, -1.8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 48*w**3 - 977535*w**2 - 10944306.\nAnswer: 144*w**2 - 1955070*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 != -1\/75?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {b: 4, r: 4, v: 1, c: 7, e: 1}. Give prob of picking 1 r and 1 v.\nAnswer: 1\/34","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*d - 4*d - d**3)*(-d + 4 - 5 - 2)*(2 + 1 - 5).\nAnswer: -2*d**4 - 6*d**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3\/4 - 7\/4*v**3 + 7\/4*v - v**4 + 1\/4*v**2 = 0.\nAnswer: -1, -3\/4, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3949 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 3 - 0. Let f be 9\/(1\/2*t). Suppose 180 = 31*g - 21*g. Calculate the highest common divisor of g and f.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 740092193 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is three tenths of a century in years?\nAnswer: 30","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1211162 and 47845.\nAnswer: 1367","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from fefv. What is prob of sequence fve?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3486*h - 38 - 3496*h + 39.\nAnswer: -10*h + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, 99, -190 in ascending order.\nAnswer: -190, -2, 99","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*o - n = -385, -5*o + 0*n + n + 952 = 0. Is o a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -142 (b) -6 (c) -65\/31\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) be the third derivative of k**8\/336 - 3*k**5\/5 + 101*k**4\/3 - 242*k**2 - 3*k. Find the second derivative of a(c) wrt c.\nAnswer: 20*c**3 - 72","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -4 + -1. Let t(v) be the first derivative of v**5\/60 + 5*v**4\/24 + 2*v**2 - 2. Let x(n) be the second derivative of t(n). Give x(k).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (208\/20)\/(3\/45). Suppose v - c = -3*v. What is the units digit of v?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -1868, -1874, -1882, -1892?\n\"Answer: -w**2 - 3*w - 1864","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) = -h**3 - 6*h**2 + 5*h - 10. List the prime factors of k(-9).\nAnswer: 2, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) = -5*l. Let c = -139 - -146. Suppose c*n - 397 + 26 = 0. Let y(v) = 53 - 4*v - 106 + n. Calculate x(y(j)).\nAnswer: 20*j","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) = 33*m + 318. Give y(0).\nAnswer: 318","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 2\/(-5) - 8976\/(-15). Suppose 1321*p - 1347*p + 2028 = 0. Calculate the greatest common divisor of a and p.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 829354.5 grams in milligrams?\nAnswer: 829354500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 505\/39 + 60\/3510*3?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) = 40*v. Suppose 0 = -d - d + 2. Does 19 divide l(d)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*u - u - 32 = 0. Suppose -4*i = -22 - 6. Calculate the lowest common multiple of i and u.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*a = -7 - 18. Let m = -7 - -10. Let t(v) = 5*v**2 - v**2 - 5 - 6*v + 0*v + v**m. What is t(a)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 656623?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 199\/1632960 and 2\/35.\nAnswer: 1632960","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 73 + -51. Is a smaller than 21?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0742 less than 11771744?\nAnswer: 11771743.9258","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -6582855 divided by -1316571?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 2\/3 (b) -61\/3950304 (c) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(5) - (sqrt(5) + (sqrt(30)\/sqrt(6) - sqrt(5))*1) - (-1 + sqrt(5) + sqrt(180)).\nAnswer: -7*sqrt(5) + 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-9)\/((-1890)\/(-3020)) + 14)\/(2\/(-6)).\nAnswer: 8\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (4 - -149) + (0 - -1). Let t be 899\/(-31) + 0 + 43. What is the highest common divisor of t and o?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 5\/8 of a litre?\nAnswer: 625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 59 a factor of 69269363?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) be the second derivative of -3*z**6\/10 - 5*z**2 - 6*z. Differentiate l(f) wrt f.\nAnswer: -36*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -4294\/35 - -296\/7. Is -79 bigger than n?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 2095 - 2094. Let t(j) = 67*j**2 - j + 2. What is t(b)?\nAnswer: 68","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -34799.191 to the nearest ten thousand.\nAnswer: -30000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {h: 10, j: 1, a: 4, z: 2}. Give prob of sequence ajh.\nAnswer: 1\/102","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 132 and 27?\nAnswer: 1188","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 55*h**3*v + 2*h**2*v**3 - h**2*v - 3*h*v**2 - 10*h*v + 12*v**3 wrt h.\nAnswer: 330*h*v + 4*v**3 - 2*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) = 8*f**3 + 10*f**2 - 1. Let c(z) = z**3 + z**2. Suppose 3 = 3*r + 9. What is r*p(w) + 18*c(w)?\nAnswer: 2*w**3 - 2*w**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) = f**3 - 21*f**2 - 7*f + 7. Let r(y) = -7*y**2 - 2*y + 2. Determine 2*c(k) - 7*r(k).\nAnswer: 2*k**3 + 7*k**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) = -d**3 + 23*d**2 - 116*d - 188. Give m(12).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in twenty-one eighths of a meter?\nAnswer: 2625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*b + 2*b - 5*b)*(8 + 6*b - 6 - 18*b).\nAnswer: 60*b**2 - 10*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 = 4*f - 6. List the prime factors of 12\/f - (1 - -1).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from rddrrdrrrrxdrr. What is prob of sequence rrd?\nAnswer: 12\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) = 91*z - 21*z**2 + 303*z - 394*z. Let w(k) = 11*k. Determine j(w(h)).\nAnswer: -2541*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -3 + 4103?\nAnswer: 4100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -600 = 94*m + 6*m for m.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 97955707 to the power of 1\/2, to the nearest integer?\nAnswer: 9897","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Express 4*h**2 + 33 - 16*h**2 + 11*h**2 in the form g*h**2 + u*h + w and give w.\nAnswer: 33","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -80 - -83. Is -1 - f - (-4 - 1543) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: -550874.4 + 2.4\nAnswer: -550872","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d\/(d*d*d\/d**(-25)*d*d)*d**(-4\/13)*(d*d**(1\/11))\/d*(d*d\/(d**(4\/19)*d)*d)\/d)**(-44) assuming d is positive.\nAnswer: d**(308948\/247)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (-92686)\/(-68) - (-76)\/(-2584)?\nAnswer: 29, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.99 * 4.\nAnswer: -3.96","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 0 + -3 - -1 - -7. Suppose 0*o - x = -o. List the prime factors of o.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2532 divided by 633.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) = -40*v - 4 + 20*v + 26*v - 6. Let i be h(2). Suppose 4*o - 2 = -6, i*o = 5*k - 397. Calculate the remainder when k is divided by 20.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 332 - 992 + 67*l**3 + 328 + 332 + 44*l**3.\nAnswer: 111*l**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*z + 405 - 410 = 3*g, -4*g = z - 1 for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) = -3*g - 2*g + 4*g. Let b(x) = -2*x**2 - 3*x. Let l be -3*1 - (-5 + 3). Let i(u) = u**2 + u. Let s(d) = l*b(d) - 3*i(d). Give s(z(m)).\nAnswer: -m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 + 3 = k. Suppose -5*s = -2*i - 48 + 13, -5*s + 5*i = -50. Suppose -5*l + 245 = -5*f - 885, -s*l + k*f = -1127. Is l a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 41388687?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) = 12*c - 1. Let j(w) = 731*w - 6. Give -8*h(d) + j(d).\nAnswer: 635*d + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in 858372.1mm?\nAnswer: 858372100000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express (-3 - 10 - 4)*(-d + d + 3*d) as f + h*d and give h.\nAnswer: -51","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many centuries are there in 635.7537 months?\nAnswer: 0.52979475","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*b**3 - 274*b**2 = 0. What is b?\nAnswer: -137, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) = -31*v + 2675. Does 14 divide g(20)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 44736, 44738, 44740, 44742, 44744?\nAnswer: 44746","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {b: 2, e: 5, s: 12}. Give prob of sequence ee.\nAnswer: 10\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) = l**2 - 39*l - 46. Let v be w(30). Let a = -293 - v. Calculate the smallest common multiple of a and 10.\nAnswer: 230","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2 in 1\/445, 23, 3, 0.1, -0.4?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Divide -502432 by 2.\nAnswer: -251216","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 489*a*p**3*u + 590*a*p**3 + 22*a*p**2*u - p**3*u + p**3 + 7476*p - 7*u wrt p?\nAnswer: 2934*a*u + 3540*a - 6*u + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 23 and 80293?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 21 + 21 + 10\/(-2). Suppose -9*s = -8*s - 74. Calculate the greatest common divisor of r and s.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -4 + 164?\nAnswer: 160","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*c - 2 = 3*u, 4*c = -4*u + 23 - 7. Suppose -10 - u = -2*z. Let j(y) = -y**3 - 11*y**2 - 19*y - 4. Let b be j(-9). Which is greater: b or z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {i: 2, z: 4, m: 7, b: 3, a: 3}. Give prob of picking 1 b and 1 m.\nAnswer: 7\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 256347?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 13\/5 of a hour?\nAnswer: 9360","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 209 and 6094?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*l**5 + 39*l**4 + 69*l**3 + 33*l**2.\nAnswer: 3*l**2*(l + 1)**2*(l + 11)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {v: 4, w: 2, p: 3, c: 2, d: 1}. What is prob of sequence cw?\nAnswer: 1\/33","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-2)\/(-6) + 48\/(-9). Let c(l) = -8 - 10 - 5*l + 37 + 0*l**2 - 17 - l**2. Calculate c(h).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) = -m**3 - m - 1. Let x(i) = -9 - 3 - 5 - 18*i - 17*i**3 - i**4. Let c(y) = 102*o(y) - 6*x(y). What is the second derivative of c(l) wrt l?\nAnswer: 72*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) = -21*i**2. Let r = 261 + -259. Let c(t) = -3 - 11 + 14 + 6*t**r. Calculate w(c(g)).\nAnswer: -756*g**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) be the third derivative of 28\/3*g**3 - 93*g**2 + 0*g - 23\/210*g**7 + 0 + 0*g**4 + 0*g**6 + 0*g**5. Differentiate d(z) with respect to z.\nAnswer: -92*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -k**3*s**6 - 239*k**3*s**4 - 2*k**3*s**2 + 7*s**2 - 1 wrt s.\nAnswer: -120*k**3*s**3 - 5736*k**3*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -11393 + 11397. Let y(t) be the third derivative of t**4\/24 + 2*t**2. What is the least common multiple of l and y(2)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3 - 2 - (-1 + -1).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2 - 5 + 2 - 9*y.\nAnswer: -9*y - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2204 - 2*j**3 - 2204.\nAnswer: -2*j**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 18 - 29. Let o = 23 + w. Suppose u = 4*h - o, 3*h + 3*u + u - 28 = 0. What is the remainder when h is divided by 3?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) = v + 44*v**2 - 50*v**2 - 2*v. What is a(1)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 78414 to the power of 1\/2, to the nearest integer?\nAnswer: 280","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -233 + 163.5. Let a = 70 + h. Let o be (-4)\/2*(1 + 1). Sort a, 5, o in descending order.\nAnswer: 5, a, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (15 - 4 + 3)*(0*z + z + z).\nAnswer: 28*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 9\/10 of a meter in millimeters?\nAnswer: 900","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is seven quarters of a litre in millilitres?\nAnswer: 1750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 12 + -12. Let r(d) be the second derivative of -1\/3*d**3 + 0*d**2 + w*d**4 - d + 0 + 1\/20*d**5. What is the second derivative of r(c) wrt c?\nAnswer: 6*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 9176498, 18352987, 27529476, 36705965, 45882454?\nAnswer: 55058943","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -494 - -618. What are the prime factors of d?\nAnswer: 2, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -1 - -5. Let r = z + 1. Let g = r - 4. What is the biggest value in 3, g, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -118 + 114. Let z(n) = -308*n - 15. Is z(w) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 75167079 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of h**3*j**3 + 5*h**3*j**2 + 2*h**3 + 2*h**2*j**2 - 264*h*j**4 + 44 wrt j?\nAnswer: 6*h**3 - 6336*h*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 228243 - 155822. Is h prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) = -4*z**3 - 107*z**2 - 347*z - 56. Calculate g(-23).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) = -2*j**2. Let q(u) = 3 - 3 - 23*u**2 + 41*u**2. Give o(q(t)).\nAnswer: -648*t**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, 2, -2, 55 in decreasing order.\nAnswer: 55, 2, -1, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2115*x + 2116*x - 4 = 0. Solve 624 = -x*p + 628 for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 39*b**2 - 5*b**2 - 289*b**2.\nAnswer: -255*b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 593396?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -195542 = 9*i - 195857 for i.\nAnswer: 35","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 3 - 2. Let b be (-1 - 3\/1)*p. Is 1\/2 - 842\/b prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2744 = 41*r + 2539 for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -0.05 (b) -3 (c) 0.02 (d) -2\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) = 1. Let v(s) = -9*s + 5. Let a(y) = y. Let b(c) = 5*a(c) + v(c). Let q(m) = -b(m) + 2*f(m). What is q(2)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4044775417 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 7\/22 and -95\/249997168.\nAnswer: 2749968848","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Put together -6 and -3168.09.\nAnswer: -3174.09","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Factor -1\/5*l**2 - 4\/5*l - 4\/5.\nAnswer: -(l + 2)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(117) - (sqrt(117)*2*2 + sqrt(117)))*-6)\/(-3*1*sqrt(1089)).\nAnswer: -8*sqrt(13)\/11","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -878, -3559, -8042, -14345, -22486, -32483, -44354?\nAnswer: -58117","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -2 + 7. Let b be (g + -3 - -2)\/2. Suppose -5*o + 18 = z, 4*o - 6*z - 24 = -b*z. What is the units digit of o?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) = -6*i + 3. Let s be n(-3). Let k be (-12)\/s + (-165)\/(-7). Let b = k - 13. What is the tens digit of b?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 926301?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 321 is divided by 162.\nAnswer: 159","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) = -20*j - 1. Let t be (0\/(-3))\/((-2)\/(-1)). Suppose -10 = v + 3*m + 3, -4*v - 2*m - 12 = t. Is l(v) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2740 divided by 205\nAnswer: -548\/41","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -102193*s**2 + 48421*s**2 + 53780*s**2.\nAnswer: 8*s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 121\/140 and 55\/48.\nAnswer: 1680","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -5510, -5912, -6304, -6686, -7058?\nAnswer: -7420","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 236\/63 - 44\/9. Let d = -47\/35 - w. Which is the smallest value? (a) d (b) 4 (c) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -1472, -1470, -1468, -1466, -1464, -1462?\n\"Answer: 2*d - 1474","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (7 + -3 - (-3 + 12)) + 3.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*(-5 + 4*(5*sqrt(200) + 3) + -3 + -4) + -2.\nAnswer: -600*sqrt(2) - 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let p be ((-4)\/6)\/((-112)\/336). Let h = 23 + 63. What is the greatest common factor of h and p?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 239 is divided by 48.\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -717 or 4\/7?\nAnswer: -717","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.1 in -23, 2\/47, 3\/4, 31?\nAnswer: 2\/47","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 43.84866 years to decades.\nAnswer: 4.384866","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 31989 is divided by 108.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 856562.\nAnswer: 2, 7, 17, 59, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) = -11*g**3 + 2*g**2 + 3*g - 5. Let y = 80 - 84. Is c(y) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) = -n**3 + 7*n**2 - 4*n - 1. Let f be (-4 - -5)\/(1\/6). Let j be d(f). Suppose -5*q + 14 = -j. List the prime factors of q.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 15\/36 + (13 - (-1271)\/(-93))?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -32567, -32551, -32535, -32519, -32503, -32487?\n\"Answer: 16*x - 32583","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -0.6 + 0.8. Let n = -152 + 134.9. Let d = n - -17.4. Which is the second smallest value? (a) -31 (b) d (c) y\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 5 - 5. Suppose w = 5*r + 2*u - 1188, 4*r - 2*u = 7*r - 712. What is the greatest common factor of 56 and r?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) = 8*s. Let u(r) = 85*r. Determine f(u(z)).\nAnswer: 680*z","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10*m = -4*m - 56 for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Work out 74785 * -0.5.\nAnswer: -37392.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Add 88128970911 and 77.\nAnswer: 88128970988","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 13 + 3*44\/(-12). Solve -3*l + l = -g, 0 = w + l - 1 for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 92371, 92384, 92399, 92416, 92435, 92456, 92479?\nAnswer: 92504","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -3, -3\/11, -2204084?\nAnswer: -2204084","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 38*x - 36*x - 24. What is the greatest common factor of 48 and x?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) = -3*f - 16. Let d(a) = -a - 8. Let o(v) = 5*d(v) - 2*q(v). Give o(4).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (0 - (3 - 4))\/1. Suppose 0*v + v = -r. Let y = 34 + v. Is y a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -23 = x + 4*x - v, 3*x + 4*v = 0. Let g be 4*(1\/4 - 1). Let m = g - x. Put 3, 5, m in ascending order.\nAnswer: m, 3, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -42 or -22908\/551?\nAnswer: -42","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 536*w - 548*w + 6455 = -1477. Does 46 divide w?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) = -3*z**3 - 27*z**2 - 13*z - 103. Let k(t) = -8*t**3 - 80*t**2 - 39*t - 309. Let w(o) = -11*h(o) + 4*k(o). Is w(24) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2950562476843 - -4.9\nAnswer: 2950562476847.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((sqrt(300) + 0)*-4*-6 - ((0 + sqrt(300))*-3 + 3)) + -3)*2)**2.\nAnswer: -12960*sqrt(3) + 874944","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 5, 2\/24283, -10?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many days are there in 800.22627 milliseconds?\nAnswer: 0.000009261878125","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 3954 + 809. Suppose 16357 - h = 2*s. Let q = -48797 + s. Round q to the nearest 10000.\nAnswer: -40000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 1 - ((-4)\/4 - (-2 - -55)). Let l be ((-8)\/(-5))\/(22\/p). Factor x**3 - x + 0*x**2 + 1\/2 - 1\/2*x**l.\nAnswer: -(x - 1)**3*(x + 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 759*d*i**2 - 9313*d*i - d + i**2 - 4 wrt i?\nAnswer: 1518*d + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2? (a) 1 (b) -2 (c) 65 (d) -4\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 0 or -12\/2143?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 182834, 182733, 182564, 182327, 182022, 181649?\n\"Answer: -34*j**2 + j + 182867","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from jjhsaxssxjhpash. Give prob of picking 2 x, 1 a, and 1 p.\nAnswer: 2\/1365","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -633 + 611 - f - 4*f.\nAnswer: -5*f - 22","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 486477954 to the power of 1\/3, to the nearest integer?\nAnswer: 786","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10 = -2*p, 5 = 5*u - 2*p - 60. What is the remainder when 148 is divided by u?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.1 in 5, 0, 13, 3\/2?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -3, 0.2, 3\/16, 5?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Does 816 divide 1096886?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -5 or 47597253?\nAnswer: 47597253","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find s, given that 5*s**4 + 4268780*s**3 + 911132671940*s**2 + 3644479462560*s + 3644462387520 = 0.\nAnswer: -426876, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*d - 78 - 6*d + 11*d.\nAnswer: 2*d - 78","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the seventh biggest value? (a) 7 (b) 5 (c) -15 (d) -7\/5 (e) 0 (f) 2\/3 (g) -12\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -24195*-0.405.\nAnswer: 9798.975","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 258 is divided by 39?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u**(-5)*u*u\/(u**(2\/3)*u)*u)\/(u**0)**(3\/32)*u**2*(u*(((u*(u\/((u**(-1)\/u)\/u))\/u*u)\/u)\/u*u)\/u)\/u*(u**(2\/3))**(-2\/31) assuming u is positive.\nAnswer: u**(40\/31)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) = -24*k - 74. Let h = 13171 - 13174. Calculate n(h).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) be the third derivative of -7*t**5\/60 + 10*t**2 - 2. Let n(m) be the second derivative of -m**4\/12 + 2*m. Determine n(c(z)).\nAnswer: -49*z**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -2 + -2 + 2 - (-14 + 6).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*m + 2*a - 60 + 70 = 0, -8*a = -5*m - 25 for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1 + -4 - (-35 - -34).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-5 + (sqrt(2299)*1 - sqrt(2299)) - (5 + sqrt(190)\/(sqrt(10) - (sqrt(10) + sqrt(10) + sqrt(20)\/sqrt(2))))) + -4)**2.\nAnswer: -14*sqrt(19) + 803\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) be the third derivative of 0*t**4 + 151\/60*t**5 + 0*t + 2\/21*t**7 - 47 - 3*t**2 + 0*t**3 - 1\/120*t**6. What is the third derivative of h(p) wrt p?\nAnswer: 480*p - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) = c**3 + 9*c**2 + 7*c - 11. Let r = -37 - -29. Let l be x(r). Suppose -2 + 0 = 2*v. Sort -2, l, v.\nAnswer: l, -2, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 n and 1 o when two letters picked without replacement from rnbiiaroorirr.\nAnswer: 1\/39","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*i = -24 + 59 for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 73\/55224 and -11\/4056.\nAnswer: 717912","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is (113254\/3 - -12)\/((-8)\/(-12)) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -15*l = -19*l - h + 10, h = l for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 38661 plus -0.101?\nAnswer: 38660.899","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Does 8 divide 486466?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -1.65 - -0.05. Let a = m + 1.9. Let u = -0.29888 + a. Round u to 4 decimal places.\nAnswer: 0.0011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -t**2 - 8*t**2 + 0*t**2 - 6 - 2*t**4 + 6*t**2 to the form f*t**3 + d + c*t**2 + u*t + z*t**4 and give z.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 d and 1 w when three letters picked without replacement from {w: 2, d: 3, j: 4, x: 1, a: 1}.\nAnswer: 2\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 - 3 = -7*n. Suppose n*x + k + 5 = x, 5*k + 15 = 3*x. Suppose x = -18*v + 19*v. Solve b - 15 = -v*r, 5*b = 3*r - 8*r + 35 for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 - (-4 - (-1 + 0)).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 51*q - 78767 - 105445 = 0. What is the units digit of q?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 313, 315, 317, 319?\nAnswer: 321","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (15 - (-7 + 17 + -3)) + (-25 - 0).\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) = -11*g**2. Let d(n) = 28*n**2 - 57*n**2 + 31*n**2. Give d(y(i)).\nAnswer: 242*i**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 46 a factor of 288010?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Put together -13.7 and -0.15471.\nAnswer: -13.85471","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, -15, 5, 1 in decreasing order.\nAnswer: 5, 1, -2, -15","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*g + 4*a + 3 = 17, -3*g - 15 = 3355*a - 3360*a for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 2 - -333?\nAnswer: 340","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(1539)*-2 - sqrt(1539) - sqrt(1539) - -4*(sqrt(19) + 0 + sqrt(19)))**2.\nAnswer: 14896","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -1100 + -33310211?\nAnswer: -33311311","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((2*1*sqrt(68) - sqrt(68)) + sqrt(68) + 2*sqrt(68)*-6)\/((2*sqrt(8))\/sqrt(2)*-4) + 0 + -4.\nAnswer: -4 + 5*sqrt(17)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 0.2 + -103774.967\nAnswer: -103774.767","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*d**2 - 3*d**2 + 888*d**3 - 1786*d**3 + 899*d**3 + 3*d**2.\nAnswer: d**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-2 + sqrt(3) + (-2*sqrt(6))\/sqrt(2))*5)**2.\nAnswer: 100*sqrt(3) + 175","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 5357 to the power of 1\/5, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5149434 + 3*g - 5149434.\nAnswer: 3*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*n - 215 = -4*y, 0 = -y - 4*y - 3*n + 285. Let q be (8\/y)\/((-16)\/80). What is the smallest value in q, -10, 0.4, -0.2?\nAnswer: -10","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*c + 20 = -4*n + 5*c, 3*c + 5 = -4*n - 15 for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -121\/20 and 41\/(-258833)*(-316)\/8?\nAnswer: 126260","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together -115989882556.81 and -1.\nAnswer: -115989882557.81","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 149\/132 and -163\/120.\nAnswer: 1320","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 224125 to the nearest integer?\nAnswer: 473","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-2)\/(-4))\/(1\/(-10))?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0 - (-6 + 4) - (-5 - -1)?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 6*z - 66 - 222. Suppose 8*n - 10*n + z = 0. Suppose -t + n + 72 = 0. What is the remainder when t is divided by 25?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-39 - (77 + -17)\/20)*3\/(-81).\nAnswer: 14\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) be the second derivative of 259*k**4\/12 - 225*k**2\/2 + 9*k + 8. Find the first derivative of z(h) wrt h.\nAnswer: 518*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a*a*a*a**(2\/9)*a)\/a)\/(a\/(a\/(a*a\/(a**(-7)\/a)*a))*a)*a\/(a*a**(-8)\/a)*a*(a**(2\/19)*a)\/a assuming a is positive.\nAnswer: a**(227\/171)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16*u = 14*u - 32. Let b be (u\/24)\/(2\/(-12)). Solve 0 = b*o - 9 + 25 for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -124*c**5 - 23*c**4 - 11*c + 19*c**2 + 14*c + 23*c**4 wrt c.\nAnswer: -7440*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 1\/2 (b) -2\/51 (c) 2 (d) -2\/13 (e) 67\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-3)\/((-3 + 5)\/(-2)). Suppose 2*y - m*b - 7 = 10, 0 = -3*y - 5*b + 54. Suppose 0 = 4*z - 47 - y. What is the units digit of z?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 25 + -19. Suppose 230 + 430 = j*v. Let z = v + 47. What are the prime factors of z?\nAnswer: 157","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -10, -10, -16, -28?\nAnswer: -46","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 g when three letters picked without replacement from {g: 4, c: 2, z: 4, u: 4}.\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -7.01 - -6.91. Let k = 1 - -2. What is the smallest value in k, -10, h, 0.3?\nAnswer: -10","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 77699, 77688, 77667, 77636?\n\"Answer: -5*f**2 + 4*f + 77700","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 e and 2 i when four letters picked without replacement from qcqqqifiifceccqeq.\nAnswer: 3\/2380","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (6\/(-5))\/(17\/((-170)\/(-3))).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -9538 - -9538. Which is greater: -4\/6169 or p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) = -160*d**3 + 18*d**2 + 47*d - 66. Let m be p(22). What is m rounded to the nearest one hundred thousand?\nAnswer: -1700000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {q: 1, r: 7, g: 1, i: 5, o: 1}. Give prob of picking 1 i and 1 q.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.747881037*-2.\nAnswer: 1.495762074","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 4753.9999995004 + -4754. Round c to 7 dps.\nAnswer: -0.0000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) = 3*a**2. Let c(w) be the second derivative of 47*w**6\/360 + w**3 + 64*w. Let t(g) be the second derivative of c(g). What is x(t(l))?\nAnswer: 6627*l**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -729578 * -0.041\nAnswer: 29912.698","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 15, 31, 61, 111, 187, 295, 441, 631?\n\"Answer: g**3 + g**2 + 6*g + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Divide 4 by 6638641.\nAnswer: 4\/6638641","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4934393?\nAnswer: 1237, 3989","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Does 12 divide 118308?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) be the first derivative of -426*w**5\/5 + w**4\/4 - 9565*w**3\/3 + 429. Find the third derivative of p(g) wrt g.\nAnswer: -10224*g + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) = 169*i + 1019. Determine w(-6).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*o = 186 - 28. Let d = o - 49. What is the tens digit of d?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -186*k**3*p**2 - 2*k**3*p - 3*k**2*p**2 - 91*k**2*p wrt k.\nAnswer: -1116*p**2 - 12*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 698467530.\nAnswer: 2, 3, 5, 1223, 19037","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*t = -n - 59, n - 5*n - 60 = -5*t. Suppose 6*o - 10*o = -t. What is the least common multiple of o and 16?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j*j**(-1\/4)\/j)\/j**(-14\/3) assuming j is positive.\nAnswer: j**(53\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -3 - -2e4e56?\nAnswer: 2e4e53","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g**2\/g)**(-9\/7)*g**(-4)\/g**(2\/19))\/((g**(-2\/3)*g)**(-45)*(g\/(g**6\/g))\/g**(-2\/13)) assuming g is positive.\nAnswer: g**(23264\/1729)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) = l**2 + 6*l - 11. Let r(f) = -f**2 - 7*f + 12. Give -4*q(d) - 3*r(d).\nAnswer: -d**2 - 3*d + 8","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) = -d**3 - 20*d**2 + d + 29. Let j be r(-20). What is the units digit of (j + 1)*15\/2?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -38 by 1362.\nAnswer: -19\/681","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-r - r + 3*r)*(0 + 2*r**2 + 0)*(-6 - 63 - 9).\nAnswer: -156*r**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g*g*g\/((g**(-21)\/g)\/g))\/(g\/(g*(g\/(g**2*g))\/g)))\/(g*g**(-25)*g)**(30\/11) assuming g is positive.\nAnswer: g**(943\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) = 19*i + 1. Let u = 8 - -1. Let c = 10 - u. What is the tens digit of g(c)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2369 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Work out -6235 - -7.05734105.\nAnswer: -6227.94265895","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 5, -4, 1\/7, -16?\nAnswer: -16","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) = 3*p**2 - 5 + 0 - 17*p - 17*p - 4*p**3 + 37*p. Is j(-4) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -132*u - 24155 = 7*u + 89*u - 1583 for u.\nAnswer: -99","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*l - z = 1218873, l - 2*z = 307684 - 2971. Is l composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) = -d**2 - 13*d - 5. Let u be s(-6). Solve -7*p + u = 2 for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 26*d**5 - 1228*d**4 + 123924*d**2 - d wrt d.\nAnswer: 1560*d**2 - 29472*d","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-2)\/5 + 8\/20. Let o(l) = 2*l + 16 - 3*l + q*l + 2*l. Let j be o(-11). Which is the third biggest value? (a) 0.4 (b) j (c) 4\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -8229*m**5 + 2*m**4 + 3*m**3 - 336702*m**2.\nAnswer: -493740*m**2 + 48*m + 18","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in fourty-six fifths of a hour?\nAnswer: 552","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 877657297?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (4*12\/(768\/112))\/(-1).\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (6 - (-2 - -1)) + -1*(-50 + -1). Is q at most 107?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -235639 + 235639 - 1400*p.\nAnswer: -1400*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1 or -22\/104553?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose u - 5*c = 0, 2*u - c - 3 = 6. Solve -1 = -3*k - y, 0 = k + u*y - 0*y - 19 for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -43 * -1.8\nAnswer: 77.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 13? (a) -2\/5 (b) 0 (c) 3 (d) -0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.023 in 1\/9, 1, -0.5, -0.06?\nAnswer: -0.06","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) be the first derivative of -l**4\/4 + 13*l**3\/3 - 21*l**2\/2 - 9*l - 29. Suppose 0 = -3*r + 44 - 14. What is the least common multiple of x(11) and r?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 6\/14 - (-55)\/35. Let o be (-229491)\/27 - g\/6. Round o to the nearest one thousand.\nAnswer: -9000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -26 + 472 + -1 + -2 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) be the first derivative of -t**3\/3 + 3*t**2 - 2*t + 4. Suppose -3*p + 10 = 10*v - 12*v, 2*v = 14. Determine i(p).\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine c, given that -5*c**4 - 310*c**3 + 635*c**2 - 320*c = 0.\nAnswer: -64, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -306430.31 from 1.\nAnswer: 306431.31","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: ((-14)\/3*(-1792)\/34496)\/((1 + 1)\/(-36))\nAnswer: -48\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 86, -250, -586?\nAnswer: -922","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*k - 3 = -p + 2*k, p = -5*k + 12. Calculate the smallest common multiple of 16 and p.\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -33332, -66662, -99992, -133322, -166652?\nAnswer: -199982","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 2713*u**4 + u**3 + 47*u**2 - 4*u + 14195726?\nAnswer: 10852*u**3 + 3*u**2 + 94*u - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 17979961 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 18485919 is divided by 124.\nAnswer: 123","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 113\/288 and 151\/2340.\nAnswer: 18720","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-3)\/6*2*-7. Suppose -3*q + 25 = 5*i, -4*i + 5*q = i - 65. Solve i = -3*s - z for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 2023 and 4913.\nAnswer: 289","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(16)\/sqrt(4))\/sqrt(2) - (sqrt(72) + 1*sqrt(72)))**2.\nAnswer: 242","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 9 in -0.2, -1\/6979, 4, 0.1, 5\/6?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-4)\/6)\/((-16)\/72).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: (-12)\/5 - 808\/(-1010)\nAnswer: -8\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*s + 2*s - s)*(-3 - s + 3) - 5*s - 2*s**2 + 5*s + (-239*s + 234*s - 532*s)*(-3*s + s + 0*s).\nAnswer: 1073*s**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 3 + 1*969\/(-252) and (230000\/(-672))\/(-25) + (-52)\/4.\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 35*w + 35 = 40*w. Let a be (-1 - -1)\/(-3 - -2). Suppose a*v - 18 = -v. Solve 3*s + 3*p - w*p = -v, -2*s - 3*p + 5 = 0 for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 59936.652 minus -8118?\nAnswer: 68054.652","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -15286, -61007, -137160, -243745, -380762, -548211, -746092?\nAnswer: -974405","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*z = 4*z - 6. Solve 0 = -3*q - 4*r - 8, -z*r - 4 = 3*q - 1 for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) be the second derivative of a**4\/6 - 970*a. Let f be 5 - ((-24)\/(-4))\/(-3). Let c(q) = -f*q**2 - 6*q**2 - 3*q**2 + 5*q**2. Give b(c(n)).\nAnswer: 242*n**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) = d**3 + 13*d**2 - 3*d - 4. Suppose -n - x + 0*x - 8 = 0, 5*x - 12 = -n. What is the units digit of p(n)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*r - 3 = -d, r + 5*d = -0*d - 21. Let p = -4 - -6. Solve -r*z = -p*z for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from bybbbblbylbbyybb. What is prob of picking 3 y and 1 l?\nAnswer: 2\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*t + 2*t + 20. Let s be ((-2)\/(-3))\/(t\/15). Sort s, 2, 4 in descending order.\nAnswer: 4, 2, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 10, -2, -4, 0, 3, -14 in increasing order.\nAnswer: -14, -4, -2, 0, 3, 10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) = 112*a + 49. Let m be h(3). Let l = m - 72. Is 32 a factor of l?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -27.1 - -26.9. Let u = 85.2 + -98. Let i = u - -13. Which is the closest to 0.1? (a) m (b) i (c) 0.13\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 9*f - 5 + 5 + 16*f to k*f + g and give g.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 38865220, 38865221, 38865222, 38865223, 38865224?\nAnswer: 38865225","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 31 (base 6) in base 10?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 2287036138 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2 + ((-3)\/(-6)*514 - 0)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) be the second derivative of 7\/12*f**4 + 4*f - 8 - 1\/6*f**3 - 1\/20*f**5 + 4*f**2. Give h(7).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*d = -5*v + 13 + 2, 0 = 3*d - 15. Let q = -4 + v. Calculate the remainder when 5 is divided by q.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) = -c**2 - 9*c + 8. Let z be j(-9). Suppose p - 36 = 4*d, 0 = p + 3*d - z. What is the remainder when 77 is divided by p?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 140*133352.\nAnswer: 18669280","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -50 - 4?\nAnswer: -54","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*d - 11 = 53. Let m = -6 + 212. Suppose 0 = 13*q - m - 1029. Calculate the remainder when q is divided by d.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 18\/22 + 8\/44. Are n and -1\/4 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -21 - -14. Let k = -3908 + 3911. What is the smallest value in b, k, 4?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1388671.\nAnswer: 23, 173, 349","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) = i**2 + 18*i - 28. Give c(-20).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 10621?\nAnswer: 13, 19, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(77)\/(sqrt(28) + sqrt(7))*-5)**2.\nAnswer: 275\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 22 + -26. Let n(z) = 3*z - 1. Let u be n(-6). Let a be (-4)\/(-42)*99\/33. What is the third smallest value in u, a, h?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) = 97*y - 3093. Calculate the remainder when r(42) is divided by 263.\nAnswer: 192","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 17834556 is divided by 859.\nAnswer: 857","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*k**2 + 93*k + 450.\nAnswer: 3*(k + 6)*(k + 25)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence lets when four letters picked without replacement from itstlatatteitt?\nAnswer: 1\/3432","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*h - 12 = -8*h, h - 3 = f for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 6.89 + -1.47. Let b = -4.863 + h. Round b to one dp.\nAnswer: 0.6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -i**3 + 2 + 15*i + 239*i - 5 + 36*i + 177*i as l + w*i + n*i**2 + b*i**3 and give b.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2 (base 12) to base 16.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -642 - -16?\nAnswer: -627","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 290 and 145?\nAnswer: 145","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -99*-2.\nAnswer: 198","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 12*q**2 + 8*q - 1999.\nAnswer: 24*q + 8","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 24344031 (base 8) to base 7\nAnswer: 63361530","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2 + (sqrt(2) + sqrt(18))*1 + (sqrt(2) - (0 + sqrt(2) + 5)))*-3.\nAnswer: -12*sqrt(2) + 9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 = -4*h + 11. Let a be 1 + (4\/2)\/h. Let i = 3 + a. List the prime factors of i.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:32 AM and 8:08 PM?\nAnswer: 576","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a*a\/a**(-2))\/a**(10\/9) assuming a is positive.\nAnswer: a**(26\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 14.4 - 12. Let n = -2.37 + s. Suppose -45 + 15 = -10*o. Which is the nearest to n? (a) 0 (b) o (c) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 5461\/508 + 4411\/44\nAnswer: 111","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*n**5\/9 - 12842*n**4\/9 + 6416*n**3\/9 + 12842*n**2\/9 - 2140*n\/3 = 0.\nAnswer: -1, 0, 1\/2, 1, 3210","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: -205445 (base 6) to base 9\nAnswer: -25042","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Divide 104312 by -767.\nAnswer: -136","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -6.13 rounded to zero decimal places?\nAnswer: -6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -6 - -8. Let n be (0 - y)\/1 + 4. Suppose -n*p = -p - 2. Calculate the greatest common divisor of 6 and p.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find s, given that 25*s**3 + 21*s**3 - 41*s**3 = 0.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) be the first derivative of -w**4\/3 + 15*w**2\/2 - 13. Let r(h) be the second derivative of o(h). Calculate r(-1).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*n = 21 - 87. Calculate the remainder when 68 is divided by n.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -22*u + 10*u + 84 for u.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -8*c + 7349 + 11507. Is c prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 18 (base 12) to base 5\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, -1, -5, -35 in descending order.\nAnswer: 0, -1, -5, -35","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 73853 - -375964. Is i prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from fffffpffffffffpfff. Give prob of sequence fp.\nAnswer: 16\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) = z - 1. Give a(4).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 46 + -229\/5. Let l = -2.7 + 1.7. Let h be -3 - 2\/((-18)\/29). What is the nearest to 1 in p, h, l?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 16 + -20. Put -14, 5, r, 3 in decreasing order.\nAnswer: 5, 3, r, -14","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 0.64333 - -6.85877. Round m to two decimal places.\nAnswer: 7.5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: (1*(-15)\/10)\/(51\/102)\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 32 + -30. What is the units digit of (-8)\/((-5)\/40*g)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 16 divide 64?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 10 - -16564215?\nAnswer: 16564225","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from dnrtdonvo. What is prob of picking 1 v, 2 d, and 1 t?\nAnswer: 1\/126","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((f**(1\/3)*f)\/f)\/f)\/f)**(-2\/15)*f**(1\/3)*f**19\/f assuming f is positive.\nAnswer: f**(167\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 10 + -2. Let a(f) = 13*f**3 - 11*f**2 + 13*f - 25. Let l be a(s). Suppose 5*o = 7119 + l. What is o rounded to the nearest 100?\nAnswer: 2600","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) = 4322*v**2 + 17288*v. Calculate d(-4).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_test"},"subset":"dm_maths"} +{"text":"Question: Let s = 286 + -282. Suppose -5*q + 10 = 0, -3*u + 5*q = -s*u + 18. Solve 2*i - u = -3*w, 3*i + 2 = -4*w + 14 for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) = -3*c - 3. Let j be g(-4). Let k(i) = 6*i**3 - 2*i - 1. Let z be k(-1). Let l = j + z. What are the prime factors of l?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16*y - 17 = y. Which is bigger: y or -25?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -4 + 4 + -4 + (70 - 81 - (0 + -8))\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -18 + 23. Let d(n) = n - 2. Let s be d(5). Let b = s - y. Which is greater: b or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find b, given that b**2 - 1983*b + 102290 = 0.\nAnswer: 53, 1930","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (((-1)\/10)\/((-28)\/(-35)))\/((-3367)\/728)?\nAnswer: 1\/37","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y be -3*(143\/1 + 0). Let r = -218 - y. Is r prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -686 and 2.\nAnswer: -1372","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 5745714?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) = x**2 - 124*x + 1085. Give s(9).\nAnswer: 50","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -74758 divided by 4\nAnswer: -37379\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 2 + 7 - 80*n**2)*(-9*n**3 - 7*n**3 + 4*n**3).\nAnswer: 960*n**5 - 72*n**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 115461\/144370 - -7\/28874. Factor -2\/5*n**3 - k*n**2 - 2\/5*n + 0.\nAnswer: -2*n*(n + 1)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 154830, 154805, 154768, 154725, 154682, 154645, 154620?\n\"Answer: m**3 - 12*m**2 + 4*m + 154837","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) = 3*v + 5. Let x(l) = -4*l**2 - 21*l - 3. Let z be x(-5). Suppose 2*g = z*d, -5*g = d - 8*g - 6. Determine m(d).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) = -49*g**2 - 6*g - 6. Suppose 20 = 6*q + 56. Let m(n) = -51*n**2 - 5*n - 5. Let i(x) = q*m(x) + 5*s(x). Let p(o) = -o. Calculate i(p(y)).\nAnswer: 61*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) = -3*v + 25. Let w be b(3). Let z = w + 11. Solve -9*r + 0 = z for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00025995 to 4 decimal places.\nAnswer: -0.0003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 906 is divided by 185.\nAnswer: 166","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) = -3*g**3 + 9*g**2 + g + 7. Let o(k) = -2*k**3 + 4*k**2 + 3. What is 5*o(m) - 2*r(m)?\nAnswer: -4*m**3 + 2*m**2 - 2*m + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -4009937 plus 691?\nAnswer: -4009246","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -137532966671 minus 0.2?\nAnswer: -137532966671.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is n in -n**5 - 108*n**4 - 1643*n**3 + 5812*n**2 + 135492*n - 139552 = 0?\nAnswer: -89, -14, 1, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 3374 - 27067\/8. Find the common denominator of y and 51\/46.\nAnswer: 184","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) = -f**3 + 2*f + 1. Let t be ((-60)\/(-28))\/3*(8 - 1). Suppose 0 = -2*l - 2*g + 4, -2*l = 4*g - t*g + 5. Calculate r(l).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 531854*0.123.\nAnswer: 65418.042","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) be the second derivative of -3*o**6\/10 - 27*o**2\/2 + 32*o. Differentiate d(p) with respect to p.\nAnswer: -36*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -231 - -133. Let l = 186 + u. What are the prime factors of l?\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 701673593 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 652781691?\nAnswer: 3, 17, 4266547","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:37 AM and 4:38 PM?\nAnswer: 481","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -42*k = k + 367 - 109 for k.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*s + 10*s = 24 for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*k + 44 = 4*x, -41*x = -4*k - 37*x - 72 for k.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h**(-2\/31)\/h**(-14\/9))**(1\/58) assuming h is positive.\nAnswer: h**(208\/8091)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -99\/40 and 111\/40.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 p and 1 x when three letters picked without replacement from {p: 6, x: 2}.\nAnswer: 15\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*y + 5*c + 6 + 4 = 0, -3*y = 5*c + 4. Let r be -1 + (-3)\/(-3) + y. Calculate the common denominator of -17\/10 and (r\/(-2))\/(6\/(-65)).\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 10 + 20*v**2 - 8*v**2 - 8*v**2 + 0*v**2.\nAnswer: 4*v**2 + 10","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) be the third derivative of -o**5\/4 + o**2. Let n(y) = 60*y + 62*y - 176*y + 52*y. Determine z(n(c)).\nAnswer: -60*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) = 3*s + 2. Let y be p(-3). Let g = -5 - y. Determine l, given that l**g + 12 + l**2 - 14 = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 27 divide 2805251?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -12 - -11.5. Let z = -1.5 + x. Let t = z + 1. Which is the third smallest value? (a) t (b) 1\/4 (c) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 30366913.\nAnswer: 17, 71, 139, 181","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 2*a**3*n**3 - 286*a**3*n + 162*a**2*n**4 - a**2*n wrt n?\nAnswer: 12*a**3*n + 1944*a**2*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose r + 3*r = 28. Suppose -r = -p - 4*z, 2*z = p - 6*p - 1. Let q(l) = l + 1. Determine q(p).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*l + 4*o - 16 = 0, 5*o + 2 = -3*l + 18. Factor 2*n + 0*n - n + 2 - n**l + 0.\nAnswer: -(n - 2)*(n + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 176718?\nAnswer: 2, 3, 29453","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is fifteen quarters of a meter in centimeters?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1951.226 millilitres to litres.\nAnswer: 1.951226","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) = o**2 - 3*o + 2. Let r be g(1). Suppose r = -2*y - 3*i - 11, y = 4*i - 0*i + 22. Let m be (-16 + (y - 1))*4\/(-12). Solve m = -3*c + 2 for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((c**(-1)*c)\/c*c)\/c)\/c*c**(-4)*(c*c*c\/((c\/(c*c**(-1\/7)\/c))\/c))\/c**(-11) assuming c is positive.\nAnswer: c**(55\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 558 and 3.\nAnswer: 558","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 132 minutes after 7:45 AM?\nAnswer: 9:57 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -65 - -18. Let i = 218 - 132. Let l = f + i. Calculate the remainder when l is divided by 10.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 = 2*i + 1. Suppose -i + 8 = 2*n. Suppose -n*b = 3*d - 39, 2*b + 41 = 5*d - b. What is the remainder when 38 is divided by d?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:49 PM and 12:55 AM?\nAnswer: 546","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -0.36 + 0.06. Let x = -29 - -29.2. Which is the biggest value? (a) -0.2 (b) k (c) x\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 1, 2, 6, 1\/3, -29?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -4 - -2927367984\nAnswer: 2927367980","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*v - 1 - 5. Let u = -12 + 17. Are v and u equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(500) + sqrt(500)*-2 + 0 - sqrt(500) - sqrt(500)) + -4 - 3*(2 + sqrt(500) + 1))**2 + 1)*2.\nAnswer: 3120*sqrt(5) + 36340","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -1000010101110100110100 (base 2) in base 13?\nAnswer: -5b7320","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is (6 + -11 - (-1 - 8 - -21)) + 32?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1376550*-0.328.\nAnswer: -451508.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 283125 is divided by 7077.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 190*w + 7188?\nAnswer: 190","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 32144\/(-24) - (0 - -1). Let o = w - -30199\/21. Let l = o + -6053\/56. What is the common denominator of 71\/16 and l?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((q*q*q**16)\/(q*q*q**(-1\/3)))\/(q**(-25)\/q**(-4\/5)))**(-48) assuming q is positive.\nAnswer: q**(-9728\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 39\/2 - 20. Let g = -0.11 + -3.89. What is the third smallest value in g, -0.1, c?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 3943?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Divide 31322620 by 10.\nAnswer: 3132262","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 59 = -3*l - 379. Let n = l - -150. Sort -24, n, 5, 1 in ascending order.\nAnswer: -24, 1, n, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 2055*b**2*d**2 + 3*b**2*d*l**2 + 474*b*d**2*l**3 - 5*b*d*l**2 + 581*b*l**3 + d*l**2 - 30 wrt d?\nAnswer: 4110*b**2 + 948*b*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*r**4 - r**4 + 5*r**4)*(8 + 6 - 5)*(-16 + 0 - 1).\nAnswer: -153*r**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) = -12*v. Let z(t) be the first derivative of 1\/3*t**3 + 0*t - 1 + 0*t**2. Give z(w(q)).\nAnswer: 144*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 18\/14 + 8\/(-28). What is the remainder when (1 + a)*-1*-10 is divided by 7?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) be the third derivative of -t**6\/120 - t**4\/24 + 77*t**3\/6 + 3*t**2. Let y = -73 - -73. Is r(y) a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) = -k**2 - 9*k - 9. Let j(c) = 2*c + 2. Let y(p) = 9*j(p) + 2*n(p). Let s(m) = 5*m + 5*m - 7*m. Give y(s(f)).\nAnswer: -18*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 a and 2 b when four letters picked without replacement from {a: 1, r: 4, b: 2}.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 7*t + 91 - 119. Suppose -u - 2*x = -t*x - 75, -3*u - x = -225. What is the tens digit of u?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (1\/8)\/((-1)\/2*1). Suppose -a + 30576 = -9*a. Let t be 2\/13 + 2226\/a. Sort p, -9, 1, t in descending order.\nAnswer: 1, p, t, -9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -4425 (base 6) to base 10.\nAnswer: -1025","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -1010 - -2101?\nAnswer: 1021","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 95169 = 225*x - 1971006. What is the remainder when x is divided by 164?\nAnswer: 163","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -1802 >= -2142\/5?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_test"},"subset":"dm_maths"} +{"text":"Question: Let c be (-6)\/(-15) - 7790\/(-25). Suppose 0 = -2*w - 82 + c. Is w composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 389 + -388. Is -4\/37 at least m?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 47492.77 hours to minutes.\nAnswer: 2849566.2","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*x + 5*x + 2 = 3*v, x - 5*v + 18 = 0. Suppose -2*a - 3*a - x*d = 0, a + 2*d = -8. List the prime factors of (-4)\/a*25\/(-10).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -431*x**3 + 491*x**3 - 435*x**3 + 2057*x**3 + 1902*x**3.\nAnswer: 3584*x**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) be the second derivative of x**7\/210 + x**6\/120 + 2*x**3\/3 - x. Let w(q) be the second derivative of y(q). What is the third derivative of w(c) wrt c?\nAnswer: 24","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -89, -113, -139, -167, -197, -229?\n\"Answer: -d**2 - 21*d - 67","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -5 + 2252123?\nAnswer: 2252114","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -11*j - 3*l + 20 = 0, 3*j + 11*l + 1161 = 1197 for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -3*t - m + 9, 28*m + 9 = 3*t + 25*m for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-6*(sqrt(171)*-3 - sqrt(171)))\/sqrt(9)*-6 + 3 + (sqrt(684) - (5 + sqrt(684))) + 1)**2.\nAnswer: 288*sqrt(19) + 393985","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 3b194 (base 12) to base 5\nAnswer: 10101342","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 2032 - 3?\nAnswer: 2025","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*n + 785 + 34*n**2 - 2*n - 785.\nAnswer: 34*n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 4 divided by 169655\nAnswer: 4\/169655","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 81474007 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -p - 4*t = -69, -p + 257 = 2*p + 2*t. What is the remainder when p is divided by 1 + -5 - (-18 + 5)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) = 16*o + 142. Calculate p(-9).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-2)\/90 - (-5)\/(-25). Let w = -2 + -1. Which is smaller: w or m?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 879 is divided by 597?\nAnswer: 282","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) = -14*p. Let f(a) = 3*a. Suppose q - 2*c - 7 = 0, -q - 9 + 13 = -c. Let u(s) = q*v(s) + 5*f(s). Let r(b) = 20*b. Give u(r(g)).\nAnswer: 20*g","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -8*m - 22*m - 14*m**2 + 16*m**2 + 1 to the form l + j*m**2 + u*m and give j.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -654188 divided by -1\nAnswer: 654188","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) be the first derivative of j**4\/2 + 2*j**3\/3 + 3*j**2\/2 - 10*j + 20. Let c be a(2). Solve 4*s + 5*p - 5 = -c, -4*p + 14 = -2*s for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) be the third derivative of 0*q - 17\/6*q**3 + 29\/60*q**6 + 0*q**4 + 18*q**2 + 0*q**5 + 0. What is the first derivative of y(k) wrt k?\nAnswer: 174*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 564 minutes after 12:31 AM?\nAnswer: 9:55 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand 7*d**2 + 8 - 8 + (-2*d + 11*d - 8*d)*(2*d - 1 + 1).\nAnswer: 9*d**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (5*p + 0*p - 2*p)*(275*p**2 + 168*p**2 - 827*p**2 - 1008*p**2) to d*p**3 + b*p**2 + x + i*p and give d.\nAnswer: -4176","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) 7 (b) 5 (c) 0.3 (d) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) = 11*l**2 + 2*l - 6. Let h(a) = 20*a**2 + 3*a - 10. Let v(f) = 3*h(f) - 5*o(f). Factor v(s).\nAnswer: s*(5*s - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 63 and 49.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -112 + 23021?\nAnswer: 22505","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from rzzfzzra. Give prob of sequence zfza.\nAnswer: 1\/140","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(8640)\/sqrt(4))\/(sqrt(3) + (sqrt(3) - (1*sqrt(243) + sqrt(243)))).\nAnswer: -3*sqrt(5)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -229080 = -1864*o - 896*o for o.\nAnswer: 83","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 29 and 11.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -4\/71 in -0.4, -5, -4\/55?\nAnswer: -4\/55","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 18 = 3*y - w + 4, -2*w = 2*y - 4 for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) -11\/4 (b) -1\/8 (c) 1\/4 (d) -4 (e) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Put -19, -3, -5 in decreasing order.\nAnswer: -3, -5, -19","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 l and 1 u when three letters picked without replacement from {u: 8, f: 3, l: 2, z: 7}?\nAnswer: 2\/285","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -9 + 6. Let s(t) be the first derivative of t**3\/3 + 3*t**2 + 3*t + 3. Let b be s(-4). What is the second smallest value in b, -0.4, q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*q**4 + 1 - 5 + 3)*(0 + 4 - 3 + 33*q).\nAnswer: -66*q**5 - 2*q**4 - 33*q - 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -5 - 5531446?\nAnswer: -5531451","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 141857.1252 nanoseconds in weeks?\nAnswer: 0.000000000234552125","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -172*a - 72 = -160*a for a.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -12, -15, -10, 9, 48, 113?\n\"Answer: m**3 - 2*m**2 - 4*m - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -200 divided by 50\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = g + p - 2, -4*p = 2*g - 10. Let t be (8\/12)\/(g\/1050). What is t rounded to the nearest 100?\nAnswer: -700","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*b + 5*z = 20, -3*z - 1058 = -3*b - 1070 for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3921, 6, 1\/158 in descending order.\nAnswer: 3921, 6, 1\/158","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in 4\/3, 3\/4, -2\/7, 0?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: ((-7)\/21*-1)\/(4*(-15)\/(-8100))\nAnswer: 45","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 991.02145 * 0.06\nAnswer: 59.461287","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) = -22*z - 53. Let p be g(-4). Differentiate 3*i**3 - p*i**2 - 93 + i**3 - 40*i**2 - 2*i**3 wrt i.\nAnswer: 6*i**2 - 150*i","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -1420 + 2400. What are the prime factors of a?\nAnswer: 2, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence nxo when three letters picked without replacement from qsoossxpopnoposps.\nAnswer: 1\/816","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -2\/5 or 437191?\nAnswer: 437191","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*j = -j - 30. Suppose -i + 0*q = j*q - 20, 0 = -4*i - 5*q + 20. Solve -x = b - 7, 9 = -3*b + 3*x - i for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15*z + 1820 = -11*z. Suppose -5*o + 490 = -z. Let f = -124 + o. Does 13 divide f?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (338\/78*(-6)\/10)\/(1\/(-2785)) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (3 - 3 - 4)*(-16 - 31 - 7)*(4*s**2 + 0*s**2 - s**2) in the form l*s**2 + z*s + w and give l.\nAnswer: 648","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -74, -234, -394, -554, -714?\nAnswer: -874","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 428, 831, 1234, 1637, 2040?\nAnswer: 2443","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1*(-20)\/295)\/2.\nAnswer: -2\/59","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) = -20*f**3 - 2*f - 1. Let k be g(-1). Let b = 11465 - 11461. Sort b, k, 0, -3 in increasing order.\nAnswer: -3, 0, b, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from dxhmmthk. What is prob of sequence kd?\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 5 - -6a?\nAnswer: 71","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) = 52046*t + 1821619. Give b(-35).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Divide -67427055 by 7491895.\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/5 of a kilogram in grams?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 1\/297795313 greater than 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 64715 or 63065?\nAnswer: 63065","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*z = -a - 5*z + 99, 5*a - 495 = z. Let p = 101 - a. Solve -p = -y - 0 for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-24*o**3 - 7*o**3 + 2*o**3)*(39*o - 22*o + 40*o)*(2 + 2 + 4) to the form u*o + x*o**4 + s*o**3 + v*o**2 + k and give x.\nAnswer: -13224","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 328594?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 39*i = 5511 + 3849. Calculate the greatest common divisor of i and 80.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*w - 12 = -18. Let h be (-4 - -6) + -4 + w. Solve h = 2*s + o + 6 + 4, o = 4*s + 8 for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 11453 to the nearest integer?\nAnswer: 107","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -54573.89 rounded to the nearest 100?\nAnswer: -54600","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Round -5.5134004 to 2 dps.\nAnswer: -5.51","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-1)\/(15\/3))\/(100\/250)?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*h + 12 = -2*h. Let c(w) = 2*w - 2. Calculate c(h).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 78 = b + 3*h, 70 = 2*b + 3*h - 71. Let n = b - 377\/6. Suppose 0*d + 8 = i - 2*d, -5*i = -d + 5. Sort -4, i, n.\nAnswer: -4, i, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*p - p. Let t(k) be the first derivative of -3*k + p*k**2 - 2\/3*k**3 + 2. Differentiate t(x) with respect to x.\nAnswer: -4*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 11 (base 4) to base 9\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 18472 and 22.\nAnswer: 203192","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) = 4*f. Let b(x) = -975*x**2. Determine b(l(u)).\nAnswer: -15600*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 67 - 57. What is the highest common factor of 2 and x?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence tt when two letters picked without replacement from {z: 2, u: 3, h: 4, t: 2}.\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1\/8*((-120)\/(-18) + -6) + 548\/822.\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_test"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 43157996?\nAnswer: 2, 7, 1541357","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 2469240989 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 s, 1 r, and 1 z when three letters picked without replacement from {s: 2, x: 2, r: 6, z: 1, n: 4}?\nAnswer: 12\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 5500 and 10?\nAnswer: 5500","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -342115 divided by 265?\nAnswer: -1291","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) = 33*z - 12. Let m be q(8). Suppose 0 = -5*b + 498 + m. Suppose h - 2*h - 60 = -2*s, -5*h = -5*s + b. Is 12 a factor of s?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (3 - 39\/15)*110. Let s be ((-2)\/r*2)\/((-24)\/96). Factor -2\/11*u**2 + 6\/11 - s*u.\nAnswer: -2*(u - 1)*(u + 3)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is (((-864)\/(-336))\/(8\/(-70)))\/(18\/24)?\nAnswer: -30","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 270 is divided by 89.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) = -192*q**2 + 5*q - 8. Let m(i) = 129*i**2 - 3*i + 5. Give -8*m(v) - 5*w(v).\nAnswer: -72*v**2 - v","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify o**(2\/11)*o**16*o**(1\/16)*o*o**(-21) assuming o is positive.\nAnswer: o**(-661\/176)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-6 - 1)\/(1 + 0). Let v = h - -18. Suppose 4 = 3*j - v. 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 49073237 to the power of 1\/2, to the nearest integer?\nAnswer: 7005","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_test"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 60 in 2\/9, 3, 6, -0.5?\nAnswer: 6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -12.0101 + 0.0101. Which is the fourth smallest value? (a) v (b) -4 (c) -1\/6 (d) -0.04\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17*f + 35232 = -230. What is the units digit of f?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (20*u - 53 + 53)*(7*u - 16*u + 44*u).\nAnswer: 700*u**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Sort -170449, 2\/9, 0.\nAnswer: -170449, 0, 2\/9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {a: 6, c: 4}. Give prob of picking 1 a and 3 c.\nAnswer: 4\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) = 2*d. Let v(r) be the third derivative of -r**7\/504 - r**4\/8 - 3*r**2. Let j(b) be the second derivative of v(b). Give z(j(i)).\nAnswer: -10*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Round 36848.4582 to the nearest one thousand.\nAnswer: 37000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (84\/(-40) - (-6)\/10)\/(82\/164)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (12\/(-7))\/(-5 + 80706\/16142). Suppose -4*y + 4*w = -25896, -y - 434 + x = -3*w. Is y a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -219 smaller than 5?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) = -3 + 6 + 16*g + 1. Let r be d(4). Suppose -67 = -4*q - 5*y + 33, r = 3*q + 2*y. Solve 5*p - q = -10*l + 5*l, -3*l + 14 = 5*p for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) = -2*q**2. Let t be (9\/(-2))\/((-6)\/(-8)). Let j be (-3)\/t + 23\/2. Let y(x) = 12 - j + 2*x. Give y(i(k)).\nAnswer: -4*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1054*a + 1493700 = 1057*a. Round a to the nearest 100000.\nAnswer: 500000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 28196.61 grams to nanograms.\nAnswer: 28196610000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 692*z - 696*z = 108 for z.\nAnswer: -27","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) = 817*a**2 - a + 1. Is k(1) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 732535 is divided by 1486?\nAnswer: 1423","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is (0 + (-9)\/(-18) - (-24)\/32)*-16?\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -v - 145 = -b, -3*v - 2*v - 278 = -2*b. Is b a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -1.5 (b) 129 (c) 0.064\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) = -n**2 + 12*n - 8. Let q be b(11). Suppose 4*g - q = 9. Factor 2*a**2 + 18 - 3*a + g*a - 12*a.\nAnswer: 2*(a - 3)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -10 - 94*6\/(-60).\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is -220056 >= -220067?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {k: 5, f: 3}. What is prob of sequence kkfk?\nAnswer: 3\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Round -97.1621156 to one decimal place.\nAnswer: -97.2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1403645.\nAnswer: 5, 280729","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 6109 divided by -3\nAnswer: -6109\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1209760 is divided by 387.\nAnswer: 385","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -745, -769, -795, -823, -853, -885, -919?\n\"Answer: -g**2 - 21*g - 723","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) = -u**3 + 3*u**2 + 33*u - 8. Let b be y(7). Solve 16 = b*i - 31*i for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*i + r + 13 = 2*i, 5*r - 47 = -4*i. Let n = i - 4. What is the units digit of n?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 657 minutes after 4:28 AM?\nAnswer: 3:25 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*i + 2*o - 10, -2*o = -i - 0*o - 4. Suppose -i*f = 13*f - 6645. Is f composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 0.3 - 0.28. Let c = 0.37 - f. Let i = -0.05 + c. Which is bigger: -1 or i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 425 - 8*c**3 - 141 - 144 - 140 - c**3.\nAnswer: -9*c**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 64, 73, 96, 139, 208, 309, 448?\nAnswer: 631","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 114899201 is divided by 476760?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, 5, -1\/4, -0.08 in increasing order.\nAnswer: -1\/4, -0.08, 4, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is -4*((-1575)\/12 + -2) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -2 - -2.2. Let d = 0 + -1. Let k(f) = -5*f**3 - 1. Let s be k(d). Which is the nearest to -1? (a) -1 (b) s (c) p\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1266199 is divided by 487.\nAnswer: 486","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 0 + -3. Let i = -0.6 - -0.5. Is f at most i?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) = -i**3 + i**2 - 2*i + 1. Let k(h) = 3*h**3 - 4*h**2 + 9*h + 14. Determine k(t) + 5*m(t).\nAnswer: -2*t**3 + t**2 - t + 19","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Does 170 divide 267884?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*v**2\/7 + 313270*v\/7 = 0. What is v?\nAnswer: 0, 156635","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: -62 + 23 + -46 - -24 - (2 - 0)\nAnswer: -63","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) be the first derivative of -l**5\/5 - 13*l**3\/3 + 8. What is the third derivative of o(r) wrt r?\nAnswer: -24*r","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 506 is divided by 35.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Express (619 - 1114 + 724)*((1 - 4 + 4)*(7*y + 28 - 28) - 2*y - 2*y + 2*y) as n + l*y and give l.\nAnswer: 1145","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 2058 and 2657760.\nAnswer: 294","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) = -10*u**3 - u**2 - 10*u. Let n(v) be the first derivative of 3*v**4\/4 + 3*v**2\/2 - 9923. Determine -4*k(g) - 14*n(g).\nAnswer: -2*g**3 + 4*g**2 - 2*g","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence cnn when three letters picked without replacement from kkkcn.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 55 and 22.\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-6279)\/(-1365) + 2\/(-6)*3)*(-15)\/12?\nAnswer: -9\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 3.92 - 1.92. Let b be 19\/(513\/(-180)) - -8. Sort -0.04, b, 1\/11, m.\nAnswer: -0.04, 1\/11, b, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) = h**3 + 7*h**2 - 7*h + 8. Let o be t(-8). Suppose -3*x + o*x = -21. Suppose -4*j = x*d - 3*d - 228, 3 = -d. Is j a multiple of 15?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -375 or -376?\nAnswer: -376","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 267904363 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -c4510b + 0?\nAnswer: -c4510b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -13519, -115602, -392693, -932296, -1821915, -3149054?\n\"Answer: -14584*a**3 + 5*a + 1060","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 0 - (2 + -8 + 1). Let v = -1.1 - 0.9. What is the third biggest value in g, -5, v?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -11 - -17. Let v be (2\/z)\/((-1)\/21). Let n = -3 - v. What are the prime factors of n?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -11 + -8 + 8 + 5 + (11 - -2).\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 6203 is divided by 115?\nAnswer: 108","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:45 AM and 2:05 AM?\nAnswer: 20","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -33*k**2 + 16770*k - 3048 = 0.\nAnswer: 2\/11, 508","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -11 - -6. Let r = 1.2 + 3.8. Let n = r - 0. Which is the second smallest value? (a) -1\/2 (b) w (c) n\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*d - 4 = 2*d. Let b(p) be the first derivative of p**4\/4 - 2*p**3\/3 + p + 38. Calculate b(d).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 26591 - 10348. Is a a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (364*n**3 + 80*n**3 + 404*n**3)*(2 - 2 + 2)*(0 - 2 + 0).\nAnswer: -3392*n**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) = 4*b - 18. Let g be f(8). Let r be 111\/105 + -2 + 30\/g. Suppose -9\/5 - r*s + 3\/5*s**2 = 0. Calculate s.\nAnswer: -1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 3365705?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 37*l**5*x + 508*l**4*x - 1155*l**2 - l - x wrt l?\nAnswer: 2220*l**2*x + 12192*l*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) be the second derivative of y**6\/240 + y**5\/120 + 5*y**2\/2 + 8*y. Let t(h) be the first derivative of r(h). Factor t(g).\nAnswer: g**2*(g + 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from iciieeeigyie. Give prob of sequence ce.\nAnswer: 1\/33","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 773752178?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-7)\/((-14)\/(-4)) + 6. Let f(j) = -2*j**2 - 2*j + 8*j**2 - 4*j + 3. Let c(l) = 7*l**2 - 7*l + 4. Determine p*c(x) - 5*f(x).\nAnswer: -2*x**2 + 2*x + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 342 = 4*y + y + 2*z, y + 3*z = 58. List the prime factors of (-1 + 3 - 0) + y.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) = -m**3 - 13863*m - 102. Give p(0).\nAnswer: -102","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 13751\/10 - 1364. Let m be (2 + -5)*4\/12. What is the common denominator of z and m\/6 - 279\/189?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*t - 2*a = 3 - 17, -t + 22 = 5*a. Suppose -t*c - 14 = 4*u, 5*c - 4*u + u = 30. Suppose 0 = -3*h - 3, 3*q + 94 - 7 = c*h. Is -29 greater than q?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*q + 15. Suppose -q*h = 2*z - 22, h + 5*z = -0*h + 3. Solve 2*t = -s - t - 1, -3*s - h = 4*t for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 379943 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*n + 12 = n. Suppose 33 = 4*d - 1703. What are the prime factors of d\/14 - (n - 0)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*w = 27*w + 136 for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 2303431 - -12330?\nAnswer: 2321311","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 193873325 divided by 115?\nAnswer: 1685855","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*f**4 + 16256*f**3 - 32504*f**2.\nAnswer: -2*f**2*(f - 8126)*(f - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ikkk when four letters picked without replacement from {k: 8, i: 5}.\nAnswer: 14\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 18*f + 49*f - 56*f - f**2 to r + s*f**2 + m*f and give m.\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 45*m + 4674 = 7*z + 40*m, -z + 666 = -m. Calculate the remainder when z is divided by 169.\nAnswer: 165","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 275, -2, -1, -3 in ascending order.\nAnswer: -4, -3, -2, -1, 275","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Divide -600 by 8.\nAnswer: -75","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*w - 2*w = -340. Is 17 a factor of w?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (1 - 9) + 3 + -19 + 15?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 87 is divided by 61?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) = 4*l**2 + 8*l + 10. Let s(y) = -3*y**2 - 7*y - 10. Let o(n) = 4*q(n) + 5*s(n). Calculate the remainder when 125 is divided by o(7).\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 1125005065.99999766 - 1125005237. Let s = a + 171. What is s rounded to seven dps?\nAnswer: -0.0000023","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 114.14 + -114.07. Which is the nearest to 1? (a) -0.5 (b) l (c) 33\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-1)\/2*(-78)\/13. Let o be 2\/(-8) - 52\/(-16). Solve -p*x + o = -0 for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 + -7 + (-40 - -54)?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Product of 1 and -687.\nAnswer: -687","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 69 + w**3 + 5*w + 2*w + w**3 - 5*w + 45 to the form r*w + d*w**2 + g + p*w**3 and give p.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 155393?\nAnswer: 7, 79, 281","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -665562 divided by 6\nAnswer: -110927","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) = -5*h + 40. Let b be u(6). Solve 3*g = g + b for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be ((-2)\/(-3) + -1)*-27. Let o = t - 0. What is the units digit of o?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 0 or -6\/792211?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 3423, 6763, 10023, 13203, 16303, 19323, 22263?\n\"Answer: -40*a**2 + 3460*a + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16 = 4*f - 4. Suppose -3*d - 2*b + 11 = 0, 0*b - 2*b = f*d - 13. Let a be d + 27\/15 - 3. Which is greater: 0.1 or a?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) = -13*d. Let h(f) = 2*f**2 + 8*f + 8. Let g(z) = z**2 + 5*z + 5. Let a(l) = 8*g(l) - 5*h(l). Determine a(w(s)).\nAnswer: -338*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence qj when two letters picked without replacement from {q: 2, j: 16}.\nAnswer: 16\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (15 - 1) + -1 + -2. Suppose -u*q = -15 - 95. Let c be -2*1 - -2 - -2. Calculate the greatest common factor of c and q.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 35199 divided by -4\nAnswer: -35199\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 3036 and 20724?\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 714 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*x = -2*m + 4841, x + m - 566 - 1048 = 0. Calculate the remainder when x is divided by 95.\nAnswer: 93","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence dqzq when four letters picked without replacement from {d: 3, q: 5, z: 1, s: 6}?\nAnswer: 1\/546","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 423629911 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 8341479.\nAnswer: 3, 23, 59, 683","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) = -n**3 - 9*n**2 + 10*n + 6. Let l be i(-10). Suppose -l*f - 19 = -439. What is the tens digit of f?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) = v**3 - 4*v**2 - 5*v + 2. Let p be i(5). Let b be 5 + (-1 - (2 - p)). Let t be 1\/b - (-9)\/12. What is the nearest to 0.1 in t, -1\/2, -5?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -h - w - 4 = -6*h, 3*w + 12 = 0. Let l be (-10)\/8 + (2 - 1). Let a = -20 - -29. What is the second smallest value in a, h, l?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -15*s**2 + 78*s + 41*s**2 - 35*s**2.\nAnswer: -9*s**2 + 78*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 41.02 - 2.02. Sort -2\/3, -2, g, -0.5.\nAnswer: -2, -2\/3, -0.5, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(16)*1 - sqrt(16))\/sqrt(8))**2 - (2*sqrt(2) + 2)**2.\nAnswer: -12 - 8*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) be the second derivative of -2\/3*g**6 - 5\/42*g**7 + 15*g**4 + 0 + 67*g + 3\/2*g**5 + 45\/2*g**3 + 0*g**2. Determine d so that q(d) = 0.\nAnswer: -3, -1, 0, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) = -f - 6. Let d be q(7). Let m = d + 19. Is (58\/m)\/((-3)\/(-99)) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 60\/40 + 3465\/70?\nAnswer: 51","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 3 + (-7)\/(3 + -5 - -3). Let b be 354\/((-44)\/12 - l). Calculate the remainder when b\/24 + (-1)\/4 is divided by 25.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 197, 812, 1841, 3290, 5165, 7472?\nAnswer: 10217","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 75538824 to the nearest integer?\nAnswer: 93","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) = -6*p**3 - 4*p - 302. Let o(g) = -7*g**3 - 5*g - 301. What is 5*f(d) - 4*o(d)?\nAnswer: -2*d**3 - 306","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u\/u**(-8\/5))**3 assuming u is positive.\nAnswer: u**(39\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -1 or 1\/914?\nAnswer: 1\/914","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4 - 2*r**3 - r**3 - 4.\nAnswer: -3*r**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 1\/77 (b) 1 (c) -2 (d) 30 (e) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 93 + -51. Find the third derivative of 14*j**5 - 36*j**5 + 12*j**2 + n*j**5 + 13*j**2 wrt j.\nAnswer: 1200*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 21\/8 of a meter in millimeters?\nAnswer: 2625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of c**2*w**3 + 6*c**2*w - 9*c*w**3 - w**3 - 42 wrt c.\nAnswer: 2*c*w**3 + 12*c*w - 9*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) be the third derivative of -w**6\/360 + w**5\/30 - w**4\/6 - w**3\/3 - 4*w**2. Let u(j) be the first derivative of y(j). Find b, given that u(b) = 0.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 15.875 to 0 dps.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -4177 + 4190 - 902*h**2 - 45*h - 624*h**2 wrt h.\nAnswer: -3052","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 47041 is divided by 4250?\nAnswer: 291","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12 = -5*i + v - 20, i + 3*v = -8 for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 58 a factor of 5800?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*w - 9 + 13 = 4*b, 5*b = -5*w + 10. Solve -w*c - 18 = -s, -5*s - 5*c = 16 - 6 for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -2 - 5. Let r = -8 - h. Is 1\/11 less than r?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is t in -44*t**4 - 8*t**3 + 308*t**2 + 320*t + 48 = 0?\nAnswer: -2, -1, -2\/11, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 10\/4 - (-28)\/(-56). Let b = -5 - -8. Suppose -p*u = -u - b. Solve 0 = -u*m - 5 + 2 for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 6025*w**2 + 5*w - 698.\nAnswer: 12050","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*k - 51 = 117. Calculate the remainder when 145 is divided by k.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 28978619 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) = -63*w. Let a(i) = -21*i. Let m(u) = 7*a(u) - 2*l(u). Let g(v) = 3*v. What is m(g(y))?\nAnswer: -63*y","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 62\/1413 or -1?\nAnswer: 62\/1413","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*(-3*sqrt(320)*-2 - sqrt(320)))**2.\nAnswer: 288000","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) be the first derivative of 3*v**2 - 3*v + 1. Let b be (-4 + -2)*((-9)\/3)\/9. Give a(b).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3 (base 16) to base 6\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor n**2\/2 - 3736070*n + 6979109522450.\nAnswer: (n - 3736070)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1463?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Product of 3 and 86929.59.\nAnswer: 260788.77","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 89633?\nAnswer: 89633","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) = -w**2 + 16*w + 36. Let n be s(-17). Let u = 1019 + n. Is 8 a factor of u?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = y, 2*y - 69 = -3*s - 2*y. Solve 0 = 41*t - s - 59 for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 410 minutes before 2:56 AM?\nAnswer: 8:06 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) = 3*s**3 + 123*s**2 + 150*s + 1185. Determine w(-40).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -33*y + 78*y - 49*y.\nAnswer: -4*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 401293331 to the nearest integer?\nAnswer: 738","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 509, 842, 1179, 1520, 1865, 2214?\n\"Answer: 2*t**2 + 327*t + 180","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -14.2 (b) -1\/6 (c) -6 (d) 26 (e) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let u be ((-40)\/(-25))\/((-2)\/(-10)). Let t be u\/6 - 4\/12. Let j be -1*(2 + (-7)\/3). Which is the closest to j? (a) 3 (b) t (c) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 56 and 3755080?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -20002 (base 3) in base 10?\nAnswer: -164","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 241766.\nAnswer: 2, 7, 2467","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.2 in 2\/9, -4\/7, 1\/3, 2, -149\/19?\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 8*f**4 - 5*f**3 + 43*f**2 - 2952?\nAnswer: 32*f**3 - 15*f**2 + 86*f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 114*w**2 + 386 + 377 - 762.\nAnswer: 114*w**2 + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 5, 217, -5, -3.\nAnswer: -5, -3, -2, 5, 217","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -3 - -30429?\nAnswer: 30426","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*g = 17 - 9 for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v*(v\/v**(-6))\/v*v*v)\/(v**24*v))**(-27) assuming v is positive.\nAnswer: v**432","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Round -246760000 to the nearest 1000000.\nAnswer: -247000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -5145 - -5146. Which is the closest to 2? (a) r (b) 134 (c) -1\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 1*(-9)\/((-45)\/(-56)) + 4 and 53\/66.\nAnswer: 330","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.078 * -1504.\nAnswer: -117.312","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) = 2*u - 7*u + 2*u. Let b(s) be the first derivative of 0*s + 1\/2*s**2 + 1. Determine b(p(t)).\nAnswer: -3*t","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 4696939 to the power of 1\/3, to the nearest integer?\nAnswer: 167","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1 or -19\/50755195?\nAnswer: -19\/50755195","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (32*(-7)\/168)\/((-8)\/(-138))?\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -2131.695281 + 2116.6953. Let b = -26 - -11. Let y = z - b. Round y to 5 dps.\nAnswer: 0.00002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) be the third derivative of -r**7\/105 + r**6\/360 - r**5\/120 + r**4 + 7*r**2 - 1. Let f(n) be the second derivative of b(n). Give f(1).\nAnswer: -23","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 127399 or 3312337\/26?\nAnswer: 3312337\/26","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 219973 and 0.4?\nAnswer: 87989.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 21665, 21631, 21597, 21563, 21529?\n\"Answer: -34*s + 21699","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -18597 = -52*y + 271*y - 18816 for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose h - 11*h = -60. Suppose -h*z + 145 + 125 = 0. List the prime factors of z.\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 9\/14 and 69\/124802.\nAnswer: 873614","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 120 minutes after 8:02 PM?\nAnswer: 10:02 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 168646.2026 rounded to the nearest one hundred?\nAnswer: 168600","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-14)\/63 + (-2)\/(-9). Suppose k*j = j - 3. Solve -4*o = j*l - 4, 3*o + 2*o - 4 = -4*l for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 6, 1091, 2, -5, -20 in decreasing order.\nAnswer: 1091, 6, 2, -5, -20","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Factor 0 + 3\/5*v**3 - 1\/5*v**4 + 1\/5*v**2 - 3\/5*v.\nAnswer: -v*(v - 3)*(v - 1)*(v + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:25 PM and 5:51 AM?\nAnswer: 446","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) = 69304*m. Let j(g) = g + 92. Determine j(c(h)).\nAnswer: 69304*h + 92","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -1 - 1 - ((3 - -9) + -7)\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*o - d = -520, -6*d + 2*d = 0. Let g(m) = -135*m + 7 + o*m - 8. Suppose 4*t + 0*t = 28. Let j(y) = -11*y - 2. What is t*g(f) - 3*j(f)?\nAnswer: -2*f - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find g such that 3*g**4\/2 - 3*g**3 - 9*g**2\/2 = 0.\nAnswer: -1, 0, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {o: 4, e: 4, v: 2, g: 2}. What is prob of sequence eoo?\nAnswer: 2\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) = m**3 - 6*m**2 - m - 4. Let d(h) = 21*h - 183. Let t be d(9). Calculate v(t).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, -2, -1, -15 in ascending order.\nAnswer: -15, -4, -2, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) = -3*u**2. Let p = -2 + 1. Let c(k) = -2*k - 2. Let y be c(-2). Let t(n) = 3*n**y - 3*n**2 + n**2. Give p*s(i) - 4*t(i).\nAnswer: -i**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*y = d + 11, -y - 3*y = -5*d - 7 for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*p - 1 = -4. Let c(k) = 3273*k - 7. Let z(s) = -4909*s + 11. Let t(w) = -8*c(w) - 5*z(w). Let f be t(p). What is f rounded to the nearest 100?\nAnswer: 1600","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 42442469.\nAnswer: 42442469","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {x: 1, y: 1, d: 2, a: 5}. What is prob of picking 1 x and 1 y?\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 207687581 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-2)\/(-4)*0\/4. Suppose k*v - 5*v + 141 = -2*x, 0 = -4*v + 2*x + 114. Solve -12 = -3*j - o, j + 4*o = 4*j - v for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -16847, 714, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) be the second derivative of -x**6\/120 + 31*x**4\/12 - x**3\/3 - 128*x. Let j(t) be the third derivative of a(t). Let l(k) = 12*k**2. Determine j(l(z)).\nAnswer: -72*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3 = -3*h, 19 = -15*o + 11*o - h for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) = -o**2 + 4*o - 6. Calculate r(5).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 20016?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 1760461 a multiple of 115?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) = -9*p + 12. Let k(w) = -4*w + 5. Let q(v) = -7*k(v) + 3*y(v). Let c(x) = 0*x - 8 + 0*x - 4*x. Determine -c(j) - 6*q(j).\nAnswer: -2*j + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 9577518 to the nearest integer?\nAnswer: 3095","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.5 minus 4603?\nAnswer: -4602.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 23377985?\nAnswer: 5, 4675597","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 28945604 a multiple of 788?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 341\/(-93)*(-230)\/759.\nAnswer: 10\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 l and 2 d when four letters picked without replacement from dddldldl.\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:18 AM and 11:32 AM?\nAnswer: 14","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) = -66*k - 458. Let p be b(-8). Suppose -78 - 72 = -3*r. What is the highest common factor of p and r?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of (3 - 39\/12)*-4?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.15 + 25.5\nAnswer: 25.65","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -10 + 54. Let a be (-10)\/(-2) + -1 + t. Calculate the highest common factor of 12 and a.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) = 3*n**3 + 238*n**2 + 3044*n + 5. Let d(y) = -2*y**3 - 236*y**2 - 3045*y - 4. Let b(x) = 5*d(x) + 4*h(x). Find the second derivative of b(p) wrt p.\nAnswer: 12*p - 456","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1\/16? (a) 2 (b) -1\/4 (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4240217?\nAnswer: 4240217","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -f + 1 = 5*m, 2*f + 4*m + 6 = 2. Let u be 0\/((4 - 0)\/f - -3). Solve u*a = -5*a + 15 for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7270*x + 7275*x + 241 = -2*w, -x = 5*w + 660 for w.\nAnswer: -133","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -2*((-5)\/165*3)\/1?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 42 + -104. Let z = i + 75. Suppose z*f - 9*f = 180. What are the prime factors of f?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) = -8*c. Let q(h) = -9*h. Let o(b) = -6*a(b) + 5*q(b). Let w(g) be the second derivative of g**3\/2 - 2*g. Give w(o(j)).\nAnswer: 9*j","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:06 PM and 5:32 AM?\nAnswer: 386","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -61\/52690 and -22\/170045?\nAnswer: 3740990","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -20*w + 24*w = 20 for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -300, -747, -1472, -2475?\n\"Answer: -139*l**2 - 30*l - 131","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 68\/(-17) + (-21)\/18*-4.\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 47\/221 and 77\/962?\nAnswer: 16354","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z**(-1\/2)*z\/(z*z*z**(-22)\/z))\/(z**(-8)\/(z*z*z\/(z\/((z*z\/(z**(1\/30)\/z)*z*z)\/z))*z)) assuming z is positive.\nAnswer: z**(547\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: -1 (base 2) to base 11\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) = -5*f**2 + 34*f - 13. Let z(t) = 4*t**2 - 36*t + 13. Let d(s) = -3*b(s) - 2*z(s). Let m be d(4). Solve 0 = -m*a - 5*w - 15, -4*w - 7 + 1 = -2*a for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -10950 divided by -2?\nAnswer: 5475","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (29 - 7 - -99) + 20 + 2.\nAnswer: 143","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 781*v - 7407 = -159*v + 117*v for v.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*v - 2*y - 9 = 0, 3*v - 4*v + 4 = 3997*y - 4002*y for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.284 - 10854070.2.\nAnswer: -10854070.484","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 42908270?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 8.46842 centuries in millennia?\nAnswer: 0.846842","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -7 - -11. Suppose -a + v = a. Suppose -4*n = a*n. Solve n = g - 2 - 1 for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-143)\/1430)\/((-1)\/870*3)\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Do -10\/3353 and 0 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 80 + -174. Let x = 0.222 - 98.222. Let s = x - m. What is the third biggest value in 2, s, -1, 4?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (24\/(-20))\/(12\/(-40)).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 47 - (47 - -2) - (0 + 2 - 1) - -57?\nAnswer: 54","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) = -2*c. Let d be v(5). Let a be -4 - (d - (-2 + -2)). Differentiate 10*y**2 - 4 - 1 + 1 - 18*y**a wrt y.\nAnswer: -16*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5029 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 11246579?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 35 - (27 - -9 - 37).\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 33*f = 3*l + 34*f - 9, -l - 2*f + 8 = 0. Let k be (-12)\/9*18\/(-26). Which is smaller: l or k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 5\/(-6)*(-10 - -4). Suppose -d*a + 178 = 158. Suppose a*o = 8, -10*k + 8*k + o + 118 = 0. Is k a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 977696*a**2*d**2 + a**2*d - 106*a**2 + 3522*a - 10*d**2 - 2*d wrt d?\nAnswer: 1955392*a**2 - 20","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*-5*sqrt(76)\/sqrt(4).\nAnswer: -30*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -102 - -175. Suppose -r - 20 = -o - m, 3*m - 375 = -4*o. Suppose 4*l + o = t, 2*t + 29 - 215 = 5*l. Calculate the greatest common factor of 11 and t.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5950.302ug in milligrams?\nAnswer: 5.950302","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 420751?\nAnswer: 127, 3313","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*a - 2*h - 25 = -0*h, 5*a - 5*h = 0 for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:22 AM and 10:10 PM?\nAnswer: 708","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) = -w + 2*w**3 + 3*w**2 + 1 + 5*w**3 - 6*w**3 - 2*w**2. Let t(c) = 8*c**3 + 8*c**2 - 9*c + 9. Let n(q) = 18*i(q) - 2*t(q). Let n(v) = 0. Calculate v.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -w - z = -6*w + 17, 11 = 3*w - z. Which is the third biggest value? (a) -0.5 (b) w (c) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) = -r**2 + 21*r - 9. Let x be q(9). Let z = x - 62. Suppose 5*s + z = 6*s. What is the units digit of s?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 85 and 30005?\nAnswer: 85","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -37 - -39. Factor 0*m - 17*m + 3*m - 8 - 12*m - 18*m**c.\nAnswer: -2*(m + 1)*(9*m + 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 12 (base 6) to base 14\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -10 + 13. Let w be (-12)\/18 + 16\/(-3). Let t = -66 + 596\/9. Which is the fourth smallest value? (a) x (b) -3 (c) w (d) t\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 27809808 to the nearest integer?\nAnswer: 303","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) = 1151*j - 3448*j - 21*j**2 + 1150*j + 1147*j. Let z(w) = -40*w**2 - w. Calculate z(m(r)).\nAnswer: -17640*r**4 + 21*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 46*b**6 + 28*b**6 - 17*b + 10*b**2 + 13*b**4 - 47*b**4 - 71*b**6 wrt b?\nAnswer: 360*b**3 - 816*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 25*s + 113 = 188 for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*m**3 - 56*m**2 - 244*m + 680.\nAnswer: 4*(m - 17)*(m - 2)*(m + 5)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:10 AM and 5:56 PM?\nAnswer: 646","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Work out 269282.7 * 5.\nAnswer: 1346413.5","meta":{"dup_signals":{},"source":"arithmetic__mul_test"},"subset":"dm_maths"} +{"text":"Question: What is 276036 to the power of 1\/3, to the nearest integer?\nAnswer: 65","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 560, 1021, 1482, 1943, 2404, 2865?\nAnswer: 3326","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) = -3*w**3 - w**2 + 8*w. Let j(r) = -r**2 - r. Let z(k) = d(k) + 2*j(k). Factor z(x).\nAnswer: -3*x*(x - 1)*(x + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*g = -g + 15. Suppose -3*d + 4*l = -0*d + 23, g*d = -2*l + 5. Which is the nearest to -3\/7? (a) 2\/5 (b) 0.2 (c) d\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) = d**3 + 13*d**2 + 52*d + 327. Let b be z(-11). Put 23, 2, 0, b, -4 in increasing order.\nAnswer: -4, b, 0, 2, 23","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*k = -4*m + 4 - 32, 0 = -4*k - 2*m + 16 for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) = 42*c + 3408. Calculate d(-79).\nAnswer: 90","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 3 - (-106)\/(2\/1). Let v = -19 + p. Is 15 a factor of v?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many centuries are there in 13\/5 of a millennium?\nAnswer: 26","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*i + 5060 = -5*t, 5*t = -4*i - 0*i - 10100. Find the common denominator of (-4689)\/i + -2 + 9\/5 and -23\/88.\nAnswer: 616","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -193108 divided by 4198?\nAnswer: -46","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 0 + -1 + (-14)\/(-2). Suppose -20 = -m*v + 10. Solve l = 2*l + v for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-3)\/(2*1\/(-18)). Suppose -t = -13*r + 4*r. Suppose r*f - 720 = 207. Is f a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 17\/2 of a century in months?\nAnswer: 10200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 183484 and 812.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c*c**(-26))\/c**(-26)*(c**(2\/3)*c)\/c**(-2\/65))**(1\/44) assuming c is positive.\nAnswer: c**(263\/4290)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 6222 is divided by 6111?\nAnswer: 111","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Round 86799000 to the nearest 1000000.\nAnswer: 87000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 63108981 or -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-498)\/(-415))\/(-3 + 0).\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -398, -394, -392, -392?\n\"Answer: -p**2 + 7*p - 404","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -b**3*m*n + 1075*b**3*m + 4*b**3*n - 16*b**3 + 839763*b**2*m*n + b**2*m + 3*b**2*n + 4*m*n wrt b?\nAnswer: -6*m*n + 6450*m + 24*n - 96","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of r**4 + 20867*r**3 + 145*r**2 + 27950569?\nAnswer: 4*r**3 + 62601*r**2 + 290*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (1 - 1) + 1 + 1. Suppose 3*i = -b - 0*i, 12 = u*b + 2*i. What is the units digit of b?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -20260000 rounded to the nearest one hundred thousand?\nAnswer: -20300000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {q: 4, m: 16}. What is prob of picking 2 q?\nAnswer: 3\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 602 divided by 7790\nAnswer: 301\/3895","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Product of -3.0716067 and 0.1.\nAnswer: -0.30716067","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sort -9, -1, 0, 2 in decreasing order.\nAnswer: 2, 0, -1, -9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 55*-0.2\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 91055978?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 12 - 49\/4. Which is the nearest to x? (a) -2 (b) 0 (c) -1\/6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 8f9 - -1db8?\nAnswer: 26b1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1\/3060, -2\/9, -3\/5 in ascending order.\nAnswer: -3\/5, -2\/9, 1\/3060","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Convert -3 (base 9) to base 11.\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, 50, -1\/9, 0.4, 1\/6 in descending order.\nAnswer: 50, 5, 0.4, 1\/6, -1\/9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 120551, 120529, 120505, 120479?\n\"Answer: -l**2 - 19*l + 120571","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*f - 4*r, 5*r = -4*f + 2*r + 2. Suppose -3*t + f = -4. What are the prime factors of t?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) = -u**3 - 8*u**2 + 6*u + 5. Let g be j(-9). Suppose -40*s + 36*s = -g. Solve 0 = 4*h - 2*h - s, 27 = -5*b + 3*h for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) = -q**3 - 8*q**2 - 13*q - 9. What is f(-6)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sort 70, 0, 152997.\nAnswer: 0, 70, 152997","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -4 divided by 9221\nAnswer: -4\/9221","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 7 a factor of 5559?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 257433, 514889, 772353, 1029825, 1287305, 1544793, 1802289?\n\"Answer: 4*s**2 + 257444*s - 15","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1563 + 1563 - 4689 + 1563 - 47*l**2.\nAnswer: -47*l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in fifteen quarters of a litre?\nAnswer: 3750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 128 - 8 = 4*t. Suppose 31*f = t*f + 985. Is f a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (261\/(-174))\/(6\/104). Is 10 bigger than i?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 41093.\nAnswer: 13, 29, 109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand -61*f - 158604*f**3 + 158842*f**3 + 55*f + (-2*f + 2*f - f)*(0*f**2 - 4*f**2 + 2*f**2).\nAnswer: 240*f**3 - 6*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (447*o - 501*o + 548*o)*(3 + 4 - 6 + (0 - 3 + 1)*(2 + 4 - 4) - 2 + 4 - 3) - 1 - o + 1.\nAnswer: -1977*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 28 = -48*t + 124. Suppose -2992 = t*o - 6*o - 5*n, -3*o + 2244 = -3*n. What is the units digit of o?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -86851 - -183351. Round c to the nearest one thousand.\nAnswer: 97000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, 2, -204492 in decreasing order.\nAnswer: 2, -2, -204492","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 6 - 27. Put -4\/5, r, -5 in decreasing order.\nAnswer: -4\/5, -5, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (38 - 39)*(-1 + -1). Let a(z) be the first derivative of -1\/18*z**4 + 0*z**m - 2\/27*z**3 + 0*z - 1. What is d in a(d) = 0?\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) = -15*f**2 + 99*f - 132. Let t(n) = 23*n**2 + n + 21*n**2 - 78*n**2 + 16*n**2 + 2 + 19*n**2. Let i(p) = h(p) + 12*t(p). Factor i(g).\nAnswer: -3*(g - 36)*(g - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 0.2 + 0.3. Let r = -0.461 - 4.539. What is the smallest value in 0.4, b, r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6 a factor of 86883696?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -23*v**2 + 15*v - 25*v**2 + 8*v + 44*v wrt v.\nAnswer: -96","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 16c (base 14) to base 2\nAnswer: 100100100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*f + 26 + 28 = 0. Let p = 54 - 48. What is the highest common factor of f and p?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 636 minutes before 7:05 AM?\nAnswer: 8:29 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Put 6\/7, -1\/2, -13, -4, -2, -3 in ascending order.\nAnswer: -13, -4, -3, -2, -1\/2, 6\/7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*q**4\/3 + 2*q**3 - 2*q**2\/3 - 2*q.\nAnswer: 2*q*(q - 1)*(q + 1)*(q + 3)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1386.\nAnswer: 2, 3, 7, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) = -h**2 - 2. Calculate t(-2).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, -15, -2\/7, -2.\nAnswer: -15, -2, -2\/7, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 4309 and 217.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sort -15, -0.06, 2, 4, 0.3, -7 in descending order.\nAnswer: 4, 2, 0.3, -0.06, -7, -15","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve v = 5*b - 0*v - 27, 2*b = -4*v + 2 for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -1.78 + -2.22. Let r = 600\/3731 + -2\/287. Which is the third biggest value? (a) g (b) r (c) 2.6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) = -p - 5. Let u be x(-9). Let i(l) = l**3 - 27*l**2 + 3*l - 69. Let f be i(27). Calculate the highest common divisor of f and u.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {y: 3, u: 2, p: 1, h: 3, x: 2, k: 4}. What is prob of sequence ypy?\nAnswer: 1\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, -7, -16, 4, 5, 1.\nAnswer: -16, -7, 1, 2, 4, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 0.4, -2327\/31, -1\/3?\nAnswer: -2327\/31","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 63257084 to the nearest integer?\nAnswer: 7953","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 288 - 286. Let v(z) be the first derivative of n + 0*z**4 + 0*z**3 - 6\/5*z**5 + 0*z**2 - z. What is the derivative of v(g) wrt g?\nAnswer: -24*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 13818190 to the nearest integer?\nAnswer: 3717","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) = 1662*m**3 - 8*m + 9. What is c(1)?\nAnswer: 1663","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-16477 + 16477 + 293*w)*(0*w**2 - 2*w**2 + 0*w**2) + w**3 + 0*w**2 + 0*w**2 + (2*w - 2*w - w)*(0*w**2 + w**2 + w**2).\nAnswer: -587*w**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 9101, 17427, 25753?\n\"Answer: 8326*b + 775","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 1995 (base 12) to base 10\nAnswer: 3137","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o be ((-2)\/3)\/(-1 + 39\/45). Suppose 5*s - o = 5*d - 30, 12 = 4*d + 4*s. Let b be 0\/(3 - (d - 3)). Solve b = -f + 4*f for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 26879 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -47507 + 99536. What is the tens digit of q?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14 = -c + 2. Let t be (-34)\/(-12) + (-2)\/c. Solve 4*z = -13 - t for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -3 + 7. Let c(v) = v**3 + 4*v**2 - 4*v - 1. Is c(f) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) = 141*f - 753. Give z(-13).\nAnswer: -2586","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 18 and 1807371?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*h = -6*b - 4, 5*h + b + 7 = 12 for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -0.01 + -3.99. Let s = 1335 - 1317. Put -1\/3, 0.3, w, s in increasing order.\nAnswer: w, -1\/3, 0.3, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*p + 140981 - 3232675 = -13*g, -g - 4*p = -237849. Is g a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 w when four letters picked without replacement from {u: 2, w: 11}.\nAnswer: 6\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 5\/8 of a second in milliseconds?\nAnswer: 625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Determine r, given that r**3\/5 - 60737*r**2\/5 + 184394483*r + 8302672161\/5 = 0.\nAnswer: -9, 30373","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 94297 is divided by 36.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: (16 - -3) + 475 + -544\nAnswer: -50","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*o = 11 + 45. Suppose -t - q + 62 = 0, -3*t + o + 162 = q. Calculate the highest common divisor of t and 8.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*y + 5*k + 20 = 0, 5*y - 2*k - 4 = -k. Suppose 0 = -3*r, 3*o - 5*r = -y*o + 15. Find the second derivative of 13*a + 24*a**o - 11*a**5 - 4*a**5 wrt a.\nAnswer: 180*a**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 4*o**3 - 4*o**3 - o**3 + (4*o - 4*o + o)*(-9*o**2 + 0*o + 0*o).\nAnswer: -10*o**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -2110 + 1793?\nAnswer: -539","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 7066.7 + -7067. Which is the nearest to 0? (a) w (b) -0.2 (c) 0.5 (d) 188\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) = s**3 - 16*s**2 - 12*s + 13. Let u = 27292 - 27275. Calculate j(u).\nAnswer: 98","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (3*t + t - 5*t)*(1 - 1 - 2*t)*(1 - 1 + 1) as n*t + s + r*t**2 and give r.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9289 = m - 8*m. Let v = -397 - m. Suppose d = 5, 3*q + q - 2*d - v = 0. Is q a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) = -3*o - 2. Let s(f) = -22*f + 466. Determine -8*p(y) + s(y).\nAnswer: 2*y + 482","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*u + 24 = -2*u. Let k(h) be the third derivative of 1\/12*h**5 + 0 + 1\/120*h**6 + 114*h**2 - h**3 + 0*h - 7\/24*h**4. Determine k(u).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 947*f = 942*f + 2240. Is 48 a factor of f?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (2 + 1)*(8\/2 + (-32 - -32)).\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 3938?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -5 + -5 + (0 - (-7 - -3))\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -2387.82 rounded to the nearest ten?\nAnswer: -2390","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (5 + (-2080)\/(-40))*2\/(-6)?\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -16424 - -5?\nAnswer: -16416","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 25 and 250.\nAnswer: 250","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -0.7486 + 4.7486. Sort -0.1, h, 1\/3, -5, 31 in descending order.\nAnswer: 31, h, 1\/3, -0.1, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -10730 - -14041. Is t a multiple of 2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 11411 (base 6) in base 16?\nAnswer: 67f","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-11)\/6 - -2 - (-3)\/(-18). Suppose 423 = 4*v + i - 0*i, g = -5*v - 2*i + 531. Calculate the greatest common factor of 120 and v.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*h + h - 15. Suppose h*k + 2 - 11 = 0. Calculate the remainder when 11 is divided by k.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (7\/(-8) - 0)\/(((-595)\/136)\/35)?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -0.4 (b) 2 (c) -2\/9 (d) -1\/2 (e) -4\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) be the third derivative of 7\/120*v**4 + 0*v + 0 + 1\/600*v**6 - 3*v**2 - 1\/10*v**3 - 1\/60*v**5. Factor o(p).\nAnswer: (p - 3)*(p - 1)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1181?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 0.2, -0.04, 7\/3551, 126?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 1 + 3*r**4 - 1 + (3 + 2 - 7)*(-1134*r**3 - 58*r**4 + 1134*r**3) + (-17 - 3*r**3 + 17)*(r + 3 - 3) to u*r**3 + m*r**2 + g*r + t*r**4 + d and give t.\nAnswer: 116","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -233, -185, -121, -41, 55, 167?\n\"Answer: 8*v**2 + 24*v - 265","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:32 AM and 1:14 AM?\nAnswer: 42","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) = 10*y**2 + 3*y - 2. Let z be g(2). Suppose 6*m - z = -16*m. Put m, -0.4, -4 in ascending order.\nAnswer: -4, -0.4, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -17a - -8?\nAnswer: -172","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 10 + -9 - (1 - (7 - 1))?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*h = -3*t + 572 + 727, 3*t - 1295 = 4*h. Let v = t + 962. Is v a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 4\/(-10)*-2*4\/130*40885\/65416?\nAnswer: 1\/65","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -1072, -1065, -1054, -1039, -1020?\n\"Answer: 2*u**2 + u - 1075","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 795372 + -795373. Suppose -5*o = -6*o + 3. What is the second biggest value in 2\/19, 0, o, j?\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5163*r - 1362*r - 336*r.\nAnswer: 3465*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -4, -18, -48, -100, -180, -294, -448?\n\"Answer: -b**3 - 2*b**2 - b","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00143 rounded to three decimal places?\nAnswer: -0.001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 (base 5) in base 8?\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) = -f**2 - 15*f - 15. Let i be s(-15). Is 1*(-6)\/i*155 a multiple of 16?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -237 + 1312 = -5*d. Let i be (d + -1)*8\/(-16). Suppose 5*c - 12 = 4*c. Calculate the highest common divisor of c and i.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5163466979 to the power of 1\/9, to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 1668971 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Does 88 divide 4030576?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Express 3*k**2 + 0*k + 7 - 15 + 2*k + k as j*k**2 + i*k + o and give j.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 119, 236, 353?\n\"Answer: 117*q + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 - 1 - 3)*(12*g - 3*g**2 - 12*g + 3).\nAnswer: 15*g**2 - 15","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) = -n**3 - 19*n**2 - 33*n + 20. Let y be t(-17). Solve w = -y*w + 16 for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 177951900 a multiple of 105?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -18523 and -0.012.\nAnswer: 222.276","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Put 914478, -4, 5 in ascending order.\nAnswer: -4, 5, 914478","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1687298587?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-3 + 4 + -1)*-1. Let z be (-1)\/(-6)*(-5 + 7 - 3). Sort -2\/3, -0.1, z, s in decreasing order.\nAnswer: s, -0.1, z, -2\/3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 2 + 87?\nAnswer: 89","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) be the second derivative of u**7\/140 + 3*u**6\/80 + u**5\/20 - u**2\/2 + 10*u. Let l(h) be the first derivative of b(h). Factor l(d).\nAnswer: 3*d**2*(d + 1)*(d + 2)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) = f**3 - 7*f**2 - 16. Determine k(5).\nAnswer: -66","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) = d**2 + 4*d - 3. Let s(x) = -x. Let a(y) = 5*s(y) - u(y). Let z be a(-9). Suppose 2*q = -q - z, 2*q = -5*r + 103. What are the prime factors of r?\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in -3, -2\/31, 66\/7?\nAnswer: -2\/31","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 64 = 5665*b - 5649*b for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 2\/637667 < 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence keeq when four letters picked without replacement from {e: 4, i: 4, k: 1, q: 6}?\nAnswer: 1\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) be the second derivative of r**3\/6 + 2*r**2 - 3*r. Let o be f(-4). Factor o*d + 0 - 2\/5*d**2.\nAnswer: -2*d**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*u + 3 - 1 - 2 - 11*u**2.\nAnswer: -11*u**2 + 3*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00006506 rounded to 5 decimal places?\nAnswer: 0.00007","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 66526 a multiple of 69?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 31 - 34. Let u(p) = 5*p**3 - 5*p**2 - 2*p + 2. Let r be u(x). Round r to the nearest 10.\nAnswer: -170","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 35\/(1890\/144)*-6*5\/4.\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -7, -42, -105, -196, -315, -462?\n\"Answer: -14*d**2 + 7*d","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {p: 1, s: 2, g: 2, n: 1, a: 1, r: 1}. Give prob of picking 1 p and 1 g.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Does 47 divide 300286?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 41.32 minus 0.922?\nAnswer: 40.398","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-373)\/(857900\/(-4416)))\/(3\/5).\nAnswer: 16\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {y: 4, x: 3, v: 4}. What is prob of picking 1 v and 3 y?\nAnswer: 8\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 984.969712 + -985. Round u to four decimal places.\nAnswer: -0.0303","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4809054 a multiple of 226?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*f**4 + 279592368*f**3 - 8685766270859166*f**2 + 89943504110977337567544*f - 449717303410764865402695 = 0 for f.\nAnswer: 5, 31065817","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Do -1\/3 and 121 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -8947.16497 + 0.16497. Let z = 8946.9995019 + b. Round z to five decimal places.\nAnswer: -0.0005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 702735 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: What is the square root of 1040 to the nearest integer?\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -4978, -4971, -4986, -5035, -5130, -5283, -5506, -5811?\n\"Answer: -2*a**3 + a**2 + 18*a - 4995","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3070386?\nAnswer: 2, 3, 11, 1723","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) be the first derivative of -m**4\/4 + 5*m**3\/3 + m**2\/2 - 7*m + 596. Suppose 2*k + 3*k - 25 = 0. Give z(k).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*w = -10, 5*o + 5*w - 2 = 13. Calculate the highest common factor of 104 and o.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) = 2*z - 16. Let n be l(9). Solve -3*t - 11 = -4*y, y - 3 = 4*t - n*y for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 8 divide 256?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 8 and 1996.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -12.28 - 1337.334.\nAnswer: -1349.614","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in 9.19976t?\nAnswer: 9199760000000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor c**5 - 18232*c**4 - 840259*c**3 - 9669062*c**2.\nAnswer: c**2*(c - 18278)*(c + 23)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*x + 646 = 12589. Is x prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (2 + 1)*(1 + 0). Suppose 2*x = -x + 6. Let f(q) = -q**3 + 2*q**2 - q + 2. Let g be f(x). Put b, 1, g in decreasing order.\nAnswer: b, 1, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1e (base 15) to base 5.\nAnswer: 104","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d**10\/d)**(-31)*d**14\/(d*d\/((d**(2\/97)*d*d)\/d)))**(-16) assuming d is positive.\nAnswer: d**(412800\/97)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1622?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*c + 9*c + 2 = 0, -5*x - 4*c + 17 = 0. Solve 2*q + x*q - 21 = 0 for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find b such that 3*b**3 - 21*b**2 + 33*b - 15 = 0.\nAnswer: 1, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-78)\/(-21) + (-4)\/(-14). Let h(m) = 2*m + 2*m + b*m - 2*m - 3. Suppose 6*a - 18 = -6. Determine h(a).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -543.1132481 to 2 decimal places.\nAnswer: -543.11","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h**(-3\/7)\/(h**(2\/11)*h))**6 assuming h is positive.\nAnswer: h**(-744\/77)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in 7\/8 of a micrometer?\nAnswer: 875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -243, -322, -401, -480?\nAnswer: -559","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*b + 12 = 2*x, x + 4*x = 2*b + 21 for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 98 and 28.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-154*x - 11*x**2 + 154*x)*(3*x**2 - 2*x**2 + x**2)*(-x + 2*x - 3*x).\nAnswer: 44*x**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*sqrt(304) + -3.\nAnswer: -3 + 12*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -1.4468 - 0.0482. Let d = 0.119 - r. Let a = d + -0.014. Round a to zero decimal places.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -120 - -119.99998. What is x rounded to 5 decimal places?\nAnswer: -0.00002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) be the third derivative of h**4\/8 - h**3\/3 - h**2. Let m(c) = -7*c + 4. Suppose 2*t = 6*t + 3*v - 37, 5*v + 12 = -t. Give t*f(o) + 6*m(o).\nAnswer: -3*o - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (-6 + 32 - 3)*(0 + 1)?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) be the second derivative of w**8\/1344 - 5*w**7\/84 + 4*w**6\/3 + 64*w**5\/3 - 20*w**4\/3 + 161*w. Let y(s) be the third derivative of t(s). Factor y(n).\nAnswer: 5*(n - 16)**2*(n + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -40 = 22*s - 14*s for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -4.403 + 5.12. Let q = 0.217 - c. Suppose -16 = o - 2*v, 0*v - 5*v = -o - 25. What is the nearest to o in 1, -0.3, q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -49\/232 and 23\/101906.\nAnswer: 407624","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -768? (a) 1\/3 (b) 8 (c) 0.4 (d) -1\/13 (e) 5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 391 and 92?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve b + 5*a = 8*a, -2*b - 3*a = 0 for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) be the second derivative of 0 + 1\/3*v**3 - 1\/4*v**4 + 0*v**2 + 3*v. Find the second derivative of c(h) wrt h.\nAnswer: -6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of a**3 - 68698792*a**2 + 27109969?\nAnswer: 3*a**2 - 137397584*a","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose p = 396 - 24. Let a(x) = 2 + 1 - 5 + 371*x - p*x - 1. Calculate a(-3).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 41.948 + 0.052. Let r = 41.9955 - g. What is r rounded to three dps?\nAnswer: -0.005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {t: 7}. What is prob of picking 3 t?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = v - 3*b + 468 - 1898, 5*b + 25 = 0. Is v < 1414?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) = 5*p**2 - 2*p**2 + 3*p**2. Let n(q) be the first derivative of -q**2 + 2. Calculate v(n(c)).\nAnswer: 24*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Divide -2 by -410.\nAnswer: 1\/205","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) -1\/15 (b) -2 (c) 3492 (d) 1\/3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0000408923 to five dps.\nAnswer: 0.00004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) = -y - 15. Let c(k) = k + 10. Let v be (-5 + 2 - -5) + 3. Let s(n) = v*l(n) + 7*c(n). Calculate s(4).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*b + 6 + 27 = 0. Suppose -5*z + 230 = -6*t, t + 85 = 5*z - 3*z. Calculate the remainder when z is divided by b.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {b: 5, d: 5, v: 8}. Give prob of sequence bv.\nAnswer: 20\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -1895 - -1899. Sort g, -4\/3, 56.\nAnswer: -4\/3, g, 56","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) be the third derivative of -j**5\/15 - 2*j**2. Let z(b) = 3*b. Determine z(i(o)).\nAnswer: -12*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 6200 and 1060?\nAnswer: 328600","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) = -49*u**3 + 7*u**2 - 7*u + 2. Suppose -1379*m = -1383*m + 4*y - 16, -3*y = -5*m - 18. Let b(n) = 24*n**3 - 3*n**2 + 3*n - 1. Give m*g(k) - 7*b(k).\nAnswer: -21*k**3 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth biggest value? (a) 4 (b) 1 (c) 1\/4 (d) 5\/3 (e) -1.287953 (f) 0\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 21 + -8 - (-58 - -24)?\nAnswer: 47","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -0.52 + 0.6. Let u = -0.02 - y. Suppose 0 = 2*r - 3*j + 18, 16*r - 13*r + 2*j + 1 = 0. Which is the second biggest value? (a) u (b) 2\/7 (c) r\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*f - f + 3 = -0*f, 12*c - 5*f = -51 for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*i + 4 - 34. Let f = i - -16. What is the units digit of 1\/3 - (-22)\/f?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 12, 4, -4, 2, -291, 5, 38 in increasing order.\nAnswer: -291, -4, 2, 4, 5, 12, 38","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) = -2*t. Let x(c) = 4*c. Let b(m) = 13*o(m) + 6*x(m). Let v(g) = 3*g**2. Calculate v(b(u)).\nAnswer: 12*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(243)*-2 - sqrt(243)) + 4.\nAnswer: -27*sqrt(3) + 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -59779, -59781, -59783?\n\"Answer: -2*n - 59777","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) = -390*z. Let u(i) = 11*i**2 - 42. Calculate u(p(c)).\nAnswer: 1673100*c**2 - 42","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 189590371 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (11 - (6 - 7)) + -5 - 1.\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify n**22\/n**(-5)*n**(-1\/43)\/n*n*n**(-9) assuming n is positive.\nAnswer: n**(773\/43)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 105 + -75. Let -7*x - 49*x - 6 - j + 4 - 12*x**2 = 0. Calculate x.\nAnswer: -4, -2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -g - 3*g - 4*x = -20, 0 = g - 2*x + 1. Let n = 4 - g. What is the units digit of n?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, 0, 14612 in increasing order.\nAnswer: -4, 0, 14612","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7 = -3507*r + 3506*r. Let l(t) = -t**3 + 7*t**2 - 7*t - 15. Calculate l(r).\nAnswer: -64","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 2041 to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: -0.4 times -39337\nAnswer: 15734.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Does 13 divide 50807112?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 31340 = 4*l - 29738 - 8462. What are the prime factors of l?\nAnswer: 3, 5, 19, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) = h**2. Let o(s) = 30*s**2 + 32*s**2 - 74*s**2 + 28*s**2. Give w(o(t)).\nAnswer: 256*t**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3082*g**2\/9 + 9017936*g\/9 - 11704\/9.\nAnswer: -2*(g - 2926)*(1541*g - 2)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 21950 + -21948.26. Let m be 2*(-1)\/2*1. Which is greater: m or w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) = -6*a**3 + a**2 - a + 1. Let d be w(1). Let q = 13.1 + -28.1. Let z = -13 - q. What is the smallest value in 4, z, 9, d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5 + ((-12)\/28 - 264\/(-28)).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.09, 1\/10, 0.05, 5 in descending order.\nAnswer: 5, 1\/10, 0.09, 0.05","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Product of -1143615 and -0.3.\nAnswer: 343084.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Divide 28448576 by 416.\nAnswer: 68386","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -48 - -57. Let y(x) = -5*x - 27. Calculate the lowest common multiple of y(-9) and j.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1c (base 15) in base 10?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 9227322?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 11572 is divided by 5739.\nAnswer: 94","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) = 3*v**3 + 2*v + 2. Let t(u) be the second derivative of 39*u**5\/20 + 9*u**3\/2 + 27*u**2\/2 - 27*u. Let s be ((-12)\/16)\/(1\/36). What is s*b(d) + 2*t(d)?\nAnswer: -3*d**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*j + 6 = -3*j. What is the greatest common divisor of j and 42?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -102255 by 85.\nAnswer: -1203","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 3*a**3*r + 6807389*a**3 - 583397*a*r**3 wrt r.\nAnswer: 3*a**3 - 1750191*a*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -959\/1958 - 10\/979. Is -3985 bigger than h?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 464111 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) = -6*a**2 - 131*a + 4222. Calculate u(20).\nAnswer: -798","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) be the second derivative of -7*d**3\/3 + 10*d**2 - 739*d. Calculate k(2).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/5 of a millennium in decades?\nAnswer: 20","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -142 - 5?\nAnswer: -147","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 22929 - (-40)\/(4 - -1) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*d = -u - 18, 0*d = 5*u - d - 14. Let b be (44\/(-5))\/(-6 - (-84)\/15). What is the greatest common divisor of u and b?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 110 divide 217360?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from vvvvvvvvjjjvvjjv. What is prob of sequence vv?\nAnswer: 11\/24","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -733? (a) 1\/2 (b) 1\/9 (c) 1.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -14.7 - -14.3. What is the third biggest value in 17\/2, -5, x?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*t + 5 = -0. Let a = 23 - 21. Suppose -3*w = a*w - 30. Let c(n) = n + 7. Let y(m) = -1. Determine t*c(h) + w*y(h).\nAnswer: h + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2247*s - 2 + 5*s**2 - 4519*s + 2254*s)*((-1 + 1 + 2)*(-s**2 + 0*s**2 + 0*s**2) + 4*s**2 - s**2 + 3*s**2).\nAnswer: 20*s**4 - 72*s**3 - 8*s**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 939*p + 16*n + 14*n = 32*n + 14075, 4*n + 41 - 1 = 4*p for p.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) -0.7 (b) 3\/2 (c) 4 (d) -1\/46 (e) 6 (f) 5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*q = 3*y + y - 14, 0 = 4*y - 5*q - 17. Let n be (16 - 4)*(19\/(-3) - -2). Let a = -51 - n. Solve -7 = -y*o - a for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*b - 6*b - 61 - 11 - 2*b**3 + 6*b - 109 as l*b**3 + t*b**2 + x + m*b and give l.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 108*b**4*v - 6*b**3*v - 4*b**2*v - 5*b*v - 3*b + 68*v wrt b.\nAnswer: 1296*b**2*v - 36*b*v - 8*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -4 + 2 + -3 - -6 - (-15 - -17)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 0.1*-6.1\nAnswer: -0.61","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) = 25*n. Let y(a) = -a. Let i be 33\/(-42) - 84\/392. Give i*v(k) - 30*y(k).\nAnswer: 5*k","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Express 2 + 16*n**3 + 13*n**3 + 17*n**3 + (0*n + 0*n + 2*n**2)*(-n + 3*n - 4*n) in the form g*n**2 + d*n**3 + c + m*n and give c.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*h - 42 + 122 = -3*h for h.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -33 (b) 0.5 (c) -1.6 (d) -30\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 8105640 is divided by 4052804?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 53120433 (base 6) to base 16\nAnswer: 17a765","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/4 of a microsecond in nanoseconds?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -2 - -2.2. Let i be 2*3\/(-6) + -1. Let p be 1 - (i - 69\/(-21)). Put y, p, 0.4 in descending order.\nAnswer: 0.4, y, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -16720, -16702, -16644, -16522, -16312, -15990?\n\"Answer: 4*n**3 - 4*n**2 + 2*n - 16722","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {w: 7, c: 10, r: 1}. What is prob of sequence cw?\nAnswer: 35\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) = -5*r. Let l(p) = 4*p. What is 3*l(k) + 2*x(k)?\nAnswer: 2*k","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-63*m - 9*m + 230*m)*(-2 + 2 - 1).\nAnswer: -158*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 4 + 4 + (-7452)\/930. Is 0 < u?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-350)\/(-15))\/(-5) - -4\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 35360 = -67*v + 87*v. List the prime factors of v.\nAnswer: 2, 13, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1226360 a multiple of 860?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 5, 4, 0.07?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) = 2*k**3 + 114*k**2 + 107*k - 95. Is 5 a factor of m(-56)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0.155 + 44.345. Let p = 4167 - 4212. Let b = t + p. Sort b, -3\/7, -0.3 in increasing order.\nAnswer: b, -3\/7, -0.3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1213 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) be the second derivative of -o**6\/150 + 7*o**5\/100 + 2*o**4\/15 + 16*o + 5. Solve r(f) = 0 for f.\nAnswer: -1, 0, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.3? (a) 44\/7 (b) 2\/3 (c) 0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find h, given that -5*h**4 - 2060*h**3 - 217865*h**2 - 1090110*h + 14835240 = 0.\nAnswer: -203, -12, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 9101, 9094, 9093, 9104, 9133, 9186, 9269, 9388?\nAnswer: 9549","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) = 31731*x**2 + 113*x + 114. What is the tens digit of n(-1)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -13 + 17. Suppose -x = -u - r, -12 = -x - 3*x. Which is the nearest to -2\/7? (a) -1\/3 (b) -4\/5 (c) u\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 6909.323cm to meters.\nAnswer: 69.09323","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) = v**2 + 5*v + 4. Let h be z(-6). Let d = -10 + h. Let g = 278\/1035 + -2\/1035. Is d at most as big as g?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*((1*(3 + sqrt(405)) + -2 - ((sqrt(405) + sqrt(405) + sqrt(405) + (1 + sqrt(405) - sqrt(405)))*5 + 5*(-1 + sqrt(405)))) + 4)**2.\nAnswer: -8550*sqrt(5) + 731150","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1869, -1658, -1291, -756, -41, 866?\nAnswer: 1977","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -14 - 7?\nAnswer: -1b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) = -151*i**2 - 5*i + 16. Let z(l) = 150*l**2 + 4*l - 13. What is 4*w(h) + 5*z(h)?\nAnswer: 146*h**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 15199\/50 - 304. Suppose 36 = -160*b + 163*b. Let l be (-2)\/b*(0 + 2). Which is smaller: k or l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -1.96 + -0.04. Let m = -1.7 + 2. Let o be (-9)\/(-6)*4\/(-21). What is the closest to o in s, -0.4, m?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p**(-34)*p\/p**15)\/((p**9*p)\/p**(-2\/5)) assuming p is positive.\nAnswer: p**(-292\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 63 + 24. Let r = -56 + z. Is r a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.1, -2\/7, -7, -139, -8 in decreasing order.\nAnswer: 0.1, -2\/7, -7, -8, -139","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*h - 65 = 2*a - 61, 0 = -2*h + a + 10 for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -4*h - 3102 - 344*h**2 - 2*h**4 - h + 61*h**2 + 3*h**4 + 12257 wrt h.\nAnswer: 4*h**3 - 566*h - 5","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) = 4*h**2 - 2*h**2 - 2*h**3 - 4 + 0*h**3 + h**3 + 5*h. Let a be r(3). List the prime factors of (-16)\/(-12)*21\/a.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3031 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 85 and 8.5?\nAnswer: 722.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2? (a) -2\/7 (b) 2258\/19 (c) 248\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 37 a factor of 95238?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 i, 1 c, and 1 y when three letters picked without replacement from {i: 3, y: 7, c: 1, h: 3}?\nAnswer: 3\/52","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-6)\/(-22))\/((-73683)\/60038).\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*q - 2*w + 2 = 0, w = 224 - 229 for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose m + 6*b - 21 = 10*b, 28 = 3*m - 5*b. Let x be (-218)\/4 - m - 14\/28. What are the prime factors of (-802)\/(-6) + 5 + x\/12?\nAnswer: 2, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -879*z + 876*z = -9. Let l(j) be the first derivative of -1\/2*j**2 + 23 + 23*j + 14\/3*j**z. What is the first derivative of l(m) wrt m?\nAnswer: 28*m - 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) = -s**3 - 3*s**2 + 7*s - 16. Let m be g(-5). Let c be 6\/(-36)*(1 + -2). What is the third smallest value in m, 5, 6, c?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2137*a = 2185*a - 114048. Is 3 a factor of a?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0 - -2. Let q = v + -2.2. Let r = 14 + -13. Which is the closest to r? (a) q (b) -4 (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) = -8*m - 7*m**3 - 19*m + 1 + 26*m + 6*m**3. Let a(u) = 5*u**3 + 9*u**2 + u - 2. Let v(t) = -a(t) - 2*b(t). What is the third derivative of v(r) wrt r?\nAnswer: -18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 8065 and 179480123?\nAnswer: 1613","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*u = u - 45. Suppose -t = 4*h - 5, 3*t = -t + 5*h - 64. Let z be 49\/5 - (88\/40)\/t. Calculate the greatest common divisor of z and u.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-6)\/28 + 2\/4. Suppose -17 + 2 = 3*g, -3*s = 2*g - 50. Suppose 0 = -4*l - 20, -5*w + 4*l + s = -2*w. Is w < o?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -88218 + 14749 = -11*v. Is v prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2591*v - 1321*v - 3 - 1262*v + 3.\nAnswer: 8*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Determine q, given that 486*q**3 + 2017845*q**2 + 896748*q + 99636 = 0.\nAnswer: -8303\/2, -2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 138*c - 1097196 = -8028936. What is c rounded to the nearest one thousand?\nAnswer: -50000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 + 0 = 2*r. Solve -u + 5 = r for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 1138 + -1121. Calculate the remainder when 84 is divided by c.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 34\/(-255) + 392\/15. Let d be ((-27)\/27)\/((-3)\/1794). Calculate the highest common divisor of u and d.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (60 - 65)*(-3946)\/(-10). What is t rounded to the nearest one thousand?\nAnswer: -2000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 246443?\nAnswer: 59, 4177","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -26*r + 20 = -22*r. What is the third derivative of 16*c**6 - 5*c - r*c**3 + 7*c**2 - 17577*c**5 + 17577*c**5 wrt c?\nAnswer: 1920*c**3 - 30","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 12 - 11. Let n = p - -14. Suppose 0 = -s + 5, -2*s - 127 = -3*r - s. Calculate the remainder when r is divided by n.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1316717616 and 12?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: (-29)\/(812\/(-140))*6\/40\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -59 + (-28 - -64) + 16?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(684)*-2 - sqrt(76)*2 - sqrt(190)\/((-2*sqrt(90)\/sqrt(9) - sqrt(10)) + sqrt(10)))**2.\nAnswer: 18259\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) be the first derivative of m**8\/420 - 7*m**5\/40 + 7*m**3\/3 + 13. Let d(r) be the third derivative of c(r). Find the second derivative of d(p) wrt p.\nAnswer: 48*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -169 * -0.2.\nAnswer: 33.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 2 - 1.8. Suppose -4*u + 4*f = 31 - 7, -4*u - f - 14 = 0. Let q be -3 + (-2)\/3*u. Which is the smallest value? (a) q (b) 0.5 (c) g\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 12*(-4)\/(-1) - (-2 + 1 + 20)?\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 3576?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in -0.3, 0, 3, -1\/6, 0.5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1426 and 46.\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: (33\/(-9))\/(50\/(-150))\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify h**14\/(h*h\/(h*h*h**(-2\/23)\/h)) assuming h is positive.\nAnswer: h**(297\/23)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in nine tenths of a litre?\nAnswer: 900","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 8, -5\/4, -16, 7?\nAnswer: -16","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) = 2*o**2 - 11*o - 1. Let c be p(9). Suppose 5*s + 32 + c = 3*x, 5*s = -25. What is the remainder when 67 is divided by x?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (6 - 2*k**3 - 6)*(1 + 3 - 3 + 6*k).\nAnswer: -12*k**4 - 2*k**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*t + 10 = -50. Let a be 10\/t - (-16)\/6. Let f(u) = 3*u - 3*u**a + u**3 + 2 - 3*u + 4*u**2. Give f(-2).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*c + 2*s = -12, -282 = 4*c + 4*s - 266. Suppose -20 = -9*r + 5*r. Sort -3, c, r in increasing order.\nAnswer: -3, c, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*v = 13*v + 30. What is the remainder when 45 is divided by ((-160)\/v)\/((-8)\/(-36))?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) = a**3 + 6*a**2 - 8*a - 1. Let m be t(-7). Suppose 5*u - 65 = -5*j, 2*u = -5*j + 20 + m. Let l = u + -7. What are the prime factors of l?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -o - 3*x + 2*x = -3, o + 4*x = 12. Suppose -u + o*u = -7. Suppose 2*g = -3*h + 4, 2*h - 4*g = -g + u. Solve h*r - 5 = 1 for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 63c2 - -96?\nAnswer: 6478","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Determine f so that -4*f**3 + 4*f**2 + 48*f = 0.\nAnswer: -3, 0, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -5 - -13. Suppose c + s = -c. What is the units digit of (c\/(-6))\/(4\/18)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 3 in -1, 22, -6?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) = 2*t**2. Let u(q) = q - 34. What is p(u(r))?\nAnswer: 2*r**2 - 136*r + 2312","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 331, 322, 299, 256, 187, 86?\nAnswer: -53","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -x - 5 - 3 = 0. Let i = x - -6. Which is the smallest value? (a) -0.5 (b) i (c) -2\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 14 + -18. Suppose -2*o + 4*w = 40, 5*o + 2*w = 2*o - 68. What is the common denominator of o and (-8 - -10)\/((-9)\/p)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7\/2 of a tonne in kilograms?\nAnswer: 3500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -0.02593397+3.778\nAnswer: 3.75206603","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 35360133.\nAnswer: 3, 439, 26849","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3*(4*5\/2)\/(-6).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -22403, -22409, -22417, -22427, -22439, -22453?\nAnswer: -22469","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Put 1\/7, -47\/4, 5\/4 in decreasing order.\nAnswer: 5\/4, 1\/7, -47\/4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify n**(2\/23)\/(n*n*n**(-13)*n) assuming n is positive.\nAnswer: n**(232\/23)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 14*(-12)\/(-672)*3\/1?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q**(15\/7)\/(q*q*q\/(q**(2\/13)\/q)))\/(q**(-3\/2))**(-28))**(2\/47) assuming q is positive.\nAnswer: q**(-7954\/4277)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((4*w + 0*w - 2*w)*(-2*w + 5*w - 4*w) - 1 - 2*w**2 + 1)*(-7*w**3 + 0*w**3 - 40*w**3) - w**3 + w**3 - 2*w**5.\nAnswer: 186*w**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) = -3*d**2 + 4. Let s = 190 + -188. Let h(f) = 19*f**s + 2*f**2 - 5*f**2 - 21. Determine -11*g(w) - 2*h(w).\nAnswer: w**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) = -937*x. Let d(t) = -43*t - 10. Calculate b(d(s)).\nAnswer: 40291*s + 9370","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 13 + ((-2962)\/308 - 5976\/1743).\nAnswer: -1\/22","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 3395 and 8?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 13 - (-3 + 12) - 4*-3. What is the derivative of 15 - 50*v + 0 + x wrt v?\nAnswer: -50","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.5*1812148\nAnswer: 906074","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -105, -237, -349, -453, -561, -685?\nAnswer: -837","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort 49, 1, 145 in descending order.\nAnswer: 145, 49, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) = 2*v**2 - 29. Let p(k) = 4*k + 4. Determine p(o(x)).\nAnswer: 8*x**2 - 112","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 758191 to the power of 1\/2, to the nearest integer?\nAnswer: 871","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 7833391327 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 678 - 680. Let r = 2 + 0. Suppose 3*t = 2*t + r. Sort t, -6, f in descending order.\nAnswer: t, f, -6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3 - 41796956900\nAnswer: -41796956897","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3869644 divided by -7.\nAnswer: 3869644\/7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 114\/5 + (-7743)\/1335.\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is (22\/33)\/((-1)\/(-3) + -2)?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 59413 (base 14) to base 13\nAnswer: 78059","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) = -i**2 - i + 5. Let a(r) = 2*r**2 + r - 5. Let s(w) = -a(w) - d(w). Let l(f) = -197*f**2. What is l(s(z))?\nAnswer: -197*z**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/28 of a week in minutes?\nAnswer: 360","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 4 + -1 - (-11 + 1)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add 2 and -2196.\nAnswer: -2194","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 7673493 to the power of 1\/2, to the nearest integer?\nAnswer: 2770","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2815 is divided by 117.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 10 - (3 - (-9 + 14)) - -2.\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-2)\/(-6))\/((-1109)\/(-1109))?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) = -t**3 + 14*t**2 + 22*t - 60. Calculate f(11).\nAnswer: 545","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 3\/4 of a millimeter?\nAnswer: 750","meta":{"dup_signals":{},"source":"measurement__conversion_test"},"subset":"dm_maths"} +{"text":"Question: Let y = 8124206216 - 8124202152.1201996. Let x = y + -3596.87980293. Let q = 467 - x. What is q rounded to seven decimal places?\nAnswer: 0.0000025","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*r = 94 + 326. Calculate the greatest common factor of 10 and r.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*n = -105 + 87 for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {d: 1, z: 2, h: 2, y: 1}. What is prob of picking 2 z and 1 y?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -42 and 7?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 26 = z + 5*w, -z - 3*z + 68 = 2*w. Let i be (-4)\/z + 18\/8. Suppose -i*u + 57 = 13. What is the tens digit of u?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -d**2\/4 + 2529*d\/4 + 1265\/2 = 0 for d.\nAnswer: -1, 2530","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) = 21*g**3 - 16*g**2 - 9*g + 9. Let d(u) = -10*u**3 + 8*u**2 + 4*u - 4. Let a(l) = 9*d(l) + 4*n(l). Find the third derivative of a(c) wrt c.\nAnswer: -36","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is three eighths of a decade in months?\nAnswer: 45","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) = -4*w + 1. Let v be n(1). Let p be (-9)\/v*(1 - 0). Suppose -3 + 2 = -x. Put 0, x, p in increasing order.\nAnswer: 0, x, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 3103628?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 222 and 2442.\nAnswer: 2442","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 474962 > 474962?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 195 minutes before 12:43 AM?\nAnswer: 9:28 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sum -117.98037 and 0.\nAnswer: -117.98037","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -53163761*f**4 - 74445545 wrt f.\nAnswer: -212655044*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5*i**2 - i**2 + 0*i**2 + 0*i**2.\nAnswer: 4*i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 1, -4, -3, -38\/149, 87?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence lwu when three letters picked without replacement from uwcyl.\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 3413, 6827, 10241, 13655, 17069, 20483?\nAnswer: 23897","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) = 4*y**3 + 2*y + 1. Let c be (-7 - -2)*1*1. Let j(z) be the first derivative of 1\/2*z**4 + 0*z**3 + z + 1\/2*z**2 - 4. Give c*j(g) + 3*u(g).\nAnswer: 2*g**3 + g - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -24 + 28 + -34 + -5 + 4 + -1.\nAnswer: -32","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) = -3*k**2 - 51*k. Let r be q(-17). Suppose 4*l - 2*b + 3*b - 42 = 0, 4*b = -5*l + 47. Let i = 14 - l. Solve i*f + 12 - 27 = r for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) = 13*g**2 - 13*g - 12. Let b(f) = -4*f**2 + 4*f + 4. Give 7*b(p) + 2*o(p).\nAnswer: -2*p**2 + 2*p + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.23795 rounded to 3 decimal places?\nAnswer: 0.238","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) = -x**3 - 13*x**2 + 11*x + 26. Give y(-14).\nAnswer: 68","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 15420, 64416, 146998, 263172, 412944, 596320?\n\"Answer: f**3 + 16787*f**2 - 1372*f + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) = -219*v - 425. What is the units digit of z(-20)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 610 minutes after 2:00 PM?\nAnswer: 12:10 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {u: 3, e: 3, w: 1, n: 13}. Give prob of sequence wuun.\nAnswer: 13\/19380","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -19 - 70?\nAnswer: -89","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand 21 + 4*k - 21 - 4*k + 2*k + k + (-6 + 2 + 2)*(-4*k - k + 4*k) - 178*k + 4 + 332*k - 202*k.\nAnswer: -43*k + 4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*n = -2021*q + 1984*q + 997, -n + 2*q = 55 for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -17\/26 + 2\/13. Suppose 17*j = -2 + 104. Which is the second biggest value? (a) 3\/2 (b) j (c) p\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) = w**2 + 25*w - 92. Let d be b(-22). What are the prime factors of d\/4*(-20 + 18)?\nAnswer: 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2484 divided by 23?\nAnswer: 108","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-56)\/42*2\/4?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 13\/(-65)*(1 - 26). Solve 3*g - 8*g = -10, a*s - 4*g + 33 = 0 for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -34730*u**5 - 23*u + 1581?\nAnswer: -694600*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {b: 6, i: 6}. What is prob of picking 3 b?\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 14, -79, -488, -1423, -3094, -5711, -9484?\n\"Answer: -35*h**3 + 52*h**2 - 4*h + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*v + 23*v - 9*v = 39. Let x(w) = w**2 + w + 0*w**2 + 0*w**2. Let z be x(4). Solve -4*a = -n - v, 9 = 5*a + 3*n - z for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.4289 + 248.44?\nAnswer: 248.0111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let d be ((-32)\/24)\/(37\/39 + -1). List the prime factors of (-8 - -26)*d\/3.\nAnswer: 2, 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) = 3*i**2. Let l(t) = -t + 2. Let m(o) = 3*o - 5. Let y(z) = 5*l(z) + 2*m(z). What is g(y(r))?\nAnswer: 3*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand 27*t**2 - 2*t + 53 - 80 + 35 + (-1 - t + 1)*(2*t + 2*t - 3*t).\nAnswer: 26*t**2 - 2*t + 8","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 258110 even?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 147449443 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*h - 38 = -0*c - 6*c, 829*h + 3*c = 829*h + 4 - 13 for h.\nAnswer: 28","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 4999661 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) = 59*j + 682. Calculate v(-12).\nAnswer: -26","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let -3*g**2\/7 + 25834476*g\/7 + 51668964\/7 = 0. Calculate g.\nAnswer: -2, 8611494","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*l**2 - 6*l**2 + 6*l**2.\nAnswer: 4*l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) = b**3 + 5*b**2 + 2*b - 3. Does 4 divide g(-4)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 2 - 1232?\nAnswer: -1230","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) = -w**3 + 11*w**2 - 10*w - 29. Is b(7) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) = -r - 3. Let w be q(-6). Suppose -w*d + 8*d = 35. Is d a multiple of 2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) = 2*h**3 - 56*h**2 + 195*h - 149. Calculate p(24).\nAnswer: -77","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) = j**2 - 4*j - 10. Let f be d(5). Let z(t) = 8*t**2 - 7*t - 11. What are the prime factors of z(f)?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -2459*t**2*u**4 - t**2*u**2 - 163*t**2*u + t**2 - 2*u wrt u.\nAnswer: -59016*t**2*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: (-639)\/(-2)*2366\/(-10647)\nAnswer: -71","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 299 to the power of 1\/7, to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) = -i**3 + 284*i**2 - 656*i + 105510. Give k(283).\nAnswer: -49","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -70 = s + s. Let i = s + 104. Let 6*n**2 + 2*n**3 + 2 + 75*n + 0*n**3 - i*n = 0. Calculate n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) = m**3 - 2*m**2 - 6*m + 3. Let z be s(4). Suppose -z = -5*i + 19. List the prime factors of i.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-3 + 33\/9)*3. Let x be (-68)\/(-28) + -4 + h. Is -1 less than or equal to x?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 45\/14*(-1)\/3. Let l = -53\/56 - i. Let n = 0 + 0.2. What is the third smallest value in -0.2, n, l?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -bb8 + a?\nAnswer: -bae","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -28*f + 36 = -19*f. Solve 8 = -f*y + k - 0*k, -3*k = 12 for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 165635.\nAnswer: 5, 157, 211","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 75 a factor of 38259016?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 44.396kg in nanograms?\nAnswer: 44396000000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 60*d - 984 = -224 + 440 for d.\nAnswer: 20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 2665538 to the power of 1\/4, to the nearest integer?\nAnswer: 40","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Are 29795724\/319 and 93405 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -0.1 or -2\/523?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 47504595?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.084954679*4.\nAnswer: 0.339818716","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -22*j + 72*j - 1670050. Is j a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t**(-12\/5)\/(t**(-13)\/t))\/(t\/(((t*t**(1\/2))\/t*t)\/t)*t**(-31)) assuming t is positive.\nAnswer: t**(421\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*o = 4*n, 5*o = -3*n + 4*n - 20. Let y(w) = -w - 1. Let v be y(o). Suppose 4*j = 4*x + v, 0 - 3 = 2*x - 3*j. Is 0 equal to x?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4228376 a multiple of 45?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -34 - -27. Let h(f) = f**2 + 4*f - 13. List the prime factors of h(s).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) = 6*q**2 - q - 2. Let r(b) = 17*b**2 - 2*b - 5. Let t be -1 + 75\/(-11) + (-4)\/22. Let m(h) = t*l(h) + 3*r(h). Determine m(-1).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) = -t**2 - 6*t - 6. Let r be y(-6). List the prime factors of ((-2)\/1)\/(r\/27).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*r + 792 - 792.\nAnswer: -3*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 335123 smaller than 335123?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3047 = 200*c - 1153. What is the remainder when 1275 is divided by c?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 greater than or equal to 2\/37?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -8 - (-5 + 4 - 4).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1027*v - 1027*v - 26370*v**3 - 79309*v**3.\nAnswer: -105679*v**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -1266604475*f**3 - 926406462*f + 2 wrt f.\nAnswer: -7599626850*f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 f and 1 x when three letters picked without replacement from vxfvxvffffxxxv?\nAnswer: 25\/182","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 7\/8 of a hour in seconds?\nAnswer: 3150","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is (-13 + (-18 - -21) - (1 + 16)) + -2 + 2?\nAnswer: -27","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -5.4 - -6. Let w = -0.4562 - -0.6562. Sort w, k, -5 in increasing order.\nAnswer: -5, w, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -406 + 409. Solve -i*j - 111 = -117 for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((q**2*q)\/q*q)\/q)**(-33)*(q**(1\/2)*q*q*q)\/(((q\/((q*((q*(q*q\/(q**(-1\/20)*q)*q)\/q)\/q)\/q)\/q))\/q*q)\/q) assuming q is positive.\nAnswer: q**(-1249\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*a - 1377 = 1007. Let x = -298 + a. Solve x = 5*f - 2*q - 5 - 0, 3*f + 4*q - 29 = 0 for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 30\/129 - 13593987\/103587?\nAnswer: -131","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be -1183 - (2 - (1 - 0)). Let v = r - -1772. What is the tens digit of v?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 7405 + -4575. What are the prime factors of g?\nAnswer: 2, 5, 283","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a**(-1\/7)\/a*a*a*a*(a**(1\/4)\/a)\/a)**(1\/28) assuming a is positive.\nAnswer: a**(3\/784)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 91\/264 + -10\/33. Let p be (7\/7)\/(-2 + (-76)\/(-14)). Let k = h + p. What is the smallest value in 0.1, 4, k?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 16 (base 14) to base 4\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, 2, 94, 5, 6.\nAnswer: 2, 3, 5, 6, 94","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -9*o - 414973 + 414973.\nAnswer: -9*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2\/(((-9)\/12150*-6)\/((-5)\/(-120)*4)).\nAnswer: 75","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 784 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*r - 378 - 450 = 0. Solve -7*w + 55 = r for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*u - 4*u + 140 = 0. What is the remainder when 57 is divided by u?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) = t**3 + 42*t**2 + 40*t + 58. Suppose -5*x - 5*r = 205, -3*x = -x - 2*r + 82. Is d(x) a multiple of 33?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-32)\/20)\/(((-1503)\/15)\/(45\/60)).\nAnswer: 2\/167","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -2\/11 (b) 4 (c) 75\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) = 18*v**2 + 4*v - 29. Let j(c) = -16*c**2 - 3*c + 25. Let w(s) = -7*j(s) - 6*t(s). Let o(k) = -3*k**2 + 4*k + 1. Give 3*o(u) + 4*w(u).\nAnswer: 7*u**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 127425 and 90.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -1 - -20. Suppose -4*y = 3*r - 20, -2*r = 4*y - 1 - k. Let t be ((-5)\/(-3))\/y*3. Solve t = 2*o - 1 for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a**(6\/11)\/(a*a**(-8\/5)*a))\/((a\/(a\/(((a\/(a*a**(-5\/3)))\/a)\/a)*a))\/(a*a**(2\/3)\/a*a)) assuming a is positive.\nAnswer: a**(173\/55)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*m**4 - 268*m**3 - 1956*m**2 - 5460*m - 4400 = 0. Calculate m.\nAnswer: -11, -5, -4\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 59*d + 735 = 61*d - 107*d. Let i(n) be the first derivative of -n**4\/4 - 8*n**3\/3 - 5*n**2\/2 + 9*n - 1. Determine i(d).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-40)\/(-1000) + 3848\/50. Solve 13 + o = -15*w for w.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 34? (a) -4 (b) -1 (c) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*i = 3*i + 15, 4*j - 273 = 5*i. List the prime factors of j.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 2\/4*28\/(-35). What is the second smallest value in 2\/9, i, 4\/5?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) = -o**3 + o - 1. Let n(b) = 5*b**3 - 111*b**2 - b + 1. Calculate j(q) + n(q).\nAnswer: 4*q**3 - 111*q**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 8412315 at least 1\/5?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) = 2*x**2 - 3*x. Let w(n) = 2*n**2 - 5. Let r be w(3). Let y(d) = -17 + r - d + 4. What is z(y(s))?\nAnswer: 2*s**2 + 3*s","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Express 29 - 10 - 1 + 6 + 11 - 19*h as i*h + j and give i.\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) be the second derivative of 29*v**6\/10 + v**3\/2 + 252*v**2 + 753*v. What is the first derivative of u(x) wrt x?\nAnswer: 348*x**3 + 3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from cndccnccoccccc. What is prob of sequence cd?\nAnswer: 5\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((2*sqrt(1053))**2 + -5)*1 + 0.\nAnswer: 4207","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (580\/261)\/(2\/18). Suppose -4*c + y = -2*g, -5*c = -c + 2*g - 12. What is the nearest to 0.1 in 1\/5, 0.074, c?\nAnswer: 0.074","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1456 divided by 13?\nAnswer: 112","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) be the third derivative of 2*v - 37\/15*v**5 + 0*v**4 + 0*v**3 + 4*v**2 + 0. Let t(s) = -s. Determine t(m(q)).\nAnswer: 148*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 311186.\nAnswer: 2, 155593","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) = -161*z - 1. Let c(w) = -w. Determine v(c(f)).\nAnswer: 161*f - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 311199 and 3381.\nAnswer: 147","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Express (2*c**3 - c**3 - 3*c**3)*(-24705 + 13768 - 1320 - 14468 - 28785) as y + x*c**2 + a*c**3 + t*c and give a.\nAnswer: 111020","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Divide 2654855 by 75853.\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -t + 4*x + 17, 0 = 5*t + x - 26 + 4. Solve -4*s + t = -5*s for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 22 a factor of 2157?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 9066?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -42, -243, -776, -1803, -3486, -5987?\n\"Answer: -27*q**3 - 4*q**2 - 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -946 + 101 = -5*x. Is x a multiple of 16?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -12*h**2 - 6*h**3 - 12 + 103*h**2 + 4*h**3 + 8 to q*h + a*h**3 + n + p*h**2 and give n.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -295 (b) 1\/4 (c) 0.49\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1\/6? (a) -0.5 (b) -0.1 (c) 71 (d) 2\/15\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 87.7*4\nAnswer: 350.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 5 - (4 + 1 - 0 - -6)\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -3238 + 3241. Suppose 4*y - 3 = 4*k - 15, -7 = y - 2*k. Which is the fourth biggest value? (a) m (b) y (c) -1 (d) -0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) be the third derivative of 73*q**6\/15 - 148*q**3 + 985*q**2. Differentiate k(r) with respect to r.\nAnswer: 1752*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -18*3\/(-6)*(-31)\/(-31).\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose h - 22 = -2*w, 5*w - 88 + 20 = 4*h. Suppose 1497 - 1119 = 21*t. Calculate the greatest common factor of w and t.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 181*o + 215*o**4 + o**2 + 530476 - 530476 wrt o?\nAnswer: 5160*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) = -m**2 + 144*m - 1437. Calculate n(148).\nAnswer: -2029","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) = 3*c**3 + 4*c**2 - 57*c + 467. What is i(-7)?\nAnswer: 33","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence rl when two letters picked without replacement from rrllrlr.\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.1792 * 3.\nAnswer: -0.5376","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -20110121220 + -10120012?\nAnswer: -20121012002","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-9*(-2)\/4)\/((-3)\/(-12)*6).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d be ((-16)\/6)\/(44\/(-12) + 3). Solve 0 = -0*o + 4*o - d for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 33\/(-5) - -3 - (-144)\/(-360).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 977.\nAnswer: 977","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1307?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -28696, -114709, -258056, -458731, -716728, -1032041, -1404664, -1834591?\nAnswer: -2321816","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*v + a + 38 = -7, -4*v + a - 27 = 0. Let h(j) = j + 17. What is the units digit of h(v)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20 + 8 = 4*n. Let c = n - -3. Solve -y = -c*y - 1 for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(275) - (-2*sqrt(275)*4)**2) + 1*sqrt(891)*-4)*5.\nAnswer: -88000 - 155*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 12.299 <= 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) = 40*f + 36. Let q(o) = -2*o. Calculate q(x(i)).\nAnswer: -80*i - 72","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 8*a**3*o**3 + 3*a**3*u + 3*a**2*o**3*u - 4*a*o**2*u + o**3*u - o**2*u wrt o?\nAnswer: 48*a**3 + 18*a**2*u + 6*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 11 + (15 - 9 - 19) + -20.\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -30213.10454 take away -4?\nAnswer: -30209.10454","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) = -5*a + 49. List the prime factors of b(-15).\nAnswer: 2, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 24 = 25*a - 26. Factor -3\/4 - 1\/12*w**3 - 1\/4*w + 5\/12*w**a.\nAnswer: -(w - 3)**2*(w + 1)\/12","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -27 + 7*f**2 + 86 - 17 as r + k*f + z*f**2 and give z.\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:04 PM and 6:52 AM?\nAnswer: 708","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Convert 27 (base 16) to base 13.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) = -a**2 - 1. Let h(w) = -w**3 + 3*w**2 + w - 5. Let j(t) = h(t) + 4*n(t). Give j(0).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 3 + ((-58)\/551 - 40\/(-19)). Which is the nearest to 0? (a) -1 (b) z (c) 2\/11\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 187 is divided by 27.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.0487926 and 39.\nAnswer: -1.9029114","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 94 + 89 + 88 - 41*x**3 + x**2 - 271.\nAnswer: -41*x**3 + x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 4, -82, 0.3, -3, 2\/11, 2.27?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 665*o**4 + 3572*o**3 + 28447435*o wrt o.\nAnswer: 7980*o**2 + 21432*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) = 3232*i**2 - 9*i + i - 16 - i**3 - 3237*i**2. Let u be m(-4). Let p be (-1 - (-2 - -3)) + 4. Solve 10 + u = -2*h + 2*f, 2*h = -2*f + p for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 44*n - 59*n + 2160 = 0. What is the highest common divisor of n and 16?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is six fifths of a centimeter in millimeters?\nAnswer: 12","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 2\/1073 + 3203\/8584. What is the nearest to 0 in b, 4, 17?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3472 = -2*m - 5*z + 1256, -4*m = -2*z - 9432. Is m composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 73425 and 890.\nAnswer: 445","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*l - w = -7, 0 = -3*w - 6 + 3 for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5 - 1 - 7)*(-q**2 - 4*q**4 + q**2) + 0*q**4 - 3*q**4 - 23*q**2 + 13*q**2.\nAnswer: 9*q**4 - 10*q**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 1039*n**4*w - n**4 + 24475*w wrt n.\nAnswer: 4156*n**3*w - 4*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is five quarters of a decade in months?\nAnswer: 150","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is (3\/2)\/((-18)\/(-50892)) - 0 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 125646288?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.3, 81\/4, 0.5 in descending order.\nAnswer: 81\/4, 0.5, 0.3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*q**3 - 1443*q + 0 + 1445*q - 3 - q**2 + 6*q**4 to h*q**3 + d + p*q + c*q**2 + t*q**4 and give c.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -6101, -5838, -5399, -4784, -3993?\nAnswer: -3026","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0 - -2. Let x(l) = l - 1. Suppose -q + 5*t + 18 - 1 = 0, 3*q - t = 23. Let p(r) = 2*r - 2. Let d(a) = q*x(a) - 5*p(a). Give d(o).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -571\/70 + 46481\/6020. What is the common denominator of i and -51\/28?\nAnswer: 1204","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) be the third derivative of -5*r**8\/1344 + r**7\/18 + r**6\/12 - 11*r**4\/8 + 36*r**2. Let t(a) be the second derivative of s(a). Factor t(h).\nAnswer: -5*h*(h - 6)*(5*h + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20 = -2*y + 4*q, -q = -0*q + 4. Let n(i) = 2*i**y - 5*i**2 + i**2. Let v(z) be the second derivative of 5*z**3\/3 + 41*z. What is v(n(s))?\nAnswer: -20*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0 - 1 - 86*l + 0*l.\nAnswer: -86*l - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence owww when four letters picked without replacement from awxxowwwowowoowwoaw.\nAnswer: 21\/646","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*j - 3*p - 4 = 11, -2*j + p = 6. What are the prime factors of ((-2)\/j)\/(4\/342)?\nAnswer: 3, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*a + 3*a + 52800 = 0. Round a to the nearest one thousand.\nAnswer: -7000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7 + 8 = 5*w. Let r be 6\/4*8\/w. Let d = -6 + r. Which is the closest to d? (a) 0.5 (b) -2 (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 62 divide 3464?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 97 + -17. Suppose 4*z - v = -4. Let s = 106 - 106. Solve -1 = m - 5*c + z, s = -4*m - 3*c + 12 for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*r + 3*r + 5*r)*(-r**4 - r**4 + r**4) + (46 + 9*r - 46)*(-5*r**3 - 2*r**4 + 5*r**3).\nAnswer: -31*r**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -35852, -71706, -107560, -143414, -179268, -215122?\n\"Answer: -35854*g + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -1100444 (base 5) to base 9\nAnswer: -27801","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 242 and 550.\nAnswer: 6050","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) = 61 + 0*u + 10 - u + 0*u. Is w(0) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 6610822 times -14.9\nAnswer: -98501247.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) = y**2 + 270. Let n be l(0). Let s be 476\/14 - (-4 - -8). Calculate the greatest common divisor of n and s.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5*g**2 + 3*g**2 + 2*g**2 + 63*g**3.\nAnswer: 63*g**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 42 - -64c?\nAnswer: 691","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -0.1, 1, 0.4, 0.5, -2\/155?\nAnswer: -2\/155","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -2803\/44 + 885\/11. Calculate the common denominator of -81\/16 and k.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -44 - -51. Put 5, o, 2 in descending order.\nAnswer: o, 5, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 9379.\nAnswer: 83, 113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 1782830?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-4*b + 2*b + 0*b)*(-2*b**2 + 8*b**2 - 2*b**2) + 3*b**3 - b**3 - b**3 + 10*b**3 - 10*b**2 + 10*b**2 to the form x*b**2 + z*b + w + d*b**3 and give d.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-179*y - 15 + 1 + 14)*(-13 + 13 - 24*y).\nAnswer: 4296*y**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose z - 22 = -g + 22, 0 = g - 4*z - 34. What is the greatest common factor of g and 14?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -118 - -121. Which is the closest to 0? (a) 2 (b) 5 (c) j\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) = q - 7. Let k(o) = -4*o. Let h be k(2). Let m = h - -18. Is d(m) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -12281670, -24563344, -36845020, -49126698, -61408378, -73690060, -85971744?\n\"Answer: -u**2 - 12281671*u + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 47\/2 - 70\/3. What is the nearest to -1 in 3, -0.1, o, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w**1\/w)**13\/((w*w**(-4))\/w**(-2\/11))*((w*(w*w**(-2\/5))\/w)\/w)\/(w*w\/(w**(-1\/4)*w))*(w\/(w**0\/w*w))**(-1\/6) assuming w is positive.\nAnswer: w**(661\/660)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 2125 - 5265?\nAnswer: -3140","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*k - 3*k + 142 = 0. Suppose k = 5*r + 2. List the prime factors of 692\/r - (-6)\/21.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 46 = 7*x - 24. What is the hundreds digit of -4 - -16*185\/x?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 78184 to the nearest integer?\nAnswer: 43","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 33066 = 113178*t - 113679*t for t.\nAnswer: -66","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*z - 25 + 80 = -3*i, 0 = 2*z + 4*i - 28. Let f(w) = -87*w**2 - 8. Let k(j) = -29*j**2 - 3. Give z*k(t) - 3*f(t).\nAnswer: 29*t**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 19*r - 568 = 382. What is the least common multiple of r and 70?\nAnswer: 350","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -234 + 218.9. Let s = k - -12. Round s to the nearest integer.\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) = 11*o + 5. Let n(b) = -10*b - 4. Let k(r) = 46*r - 142. Let s be k(3). Give s*t(h) - 5*n(h).\nAnswer: 6*h","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*c - 17 - 33 = 0. Suppose -2*m = 3*m - c. Suppose -2*x - 2 - 4 = -2*i, 3*i + x + 3 = 0. Sort i, m, 4 in descending order.\nAnswer: 4, m, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 27*j - 20*j - 9*j = 13*j for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 1043, 2088, 3133, 4178?\n\"Answer: 1045*d - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) = -18*j - 93 + j**2 - 4*j**2 - 2*j + 6*j**2. What is the units digit of o(-7)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together 0 and -15967494498.\nAnswer: -15967494498","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) = -l**3 - 2*l**2 + 11*l + 20. Determine c(-5).\nAnswer: 40","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -100.57805 rounded to the nearest 10?\nAnswer: -100","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -1*(-1)\/(-3) - (105\/(-7) - (15 - 30))?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be ((-4)\/(-5))\/((-24)\/(-180)). Let h be 18\/168*4\/w. Let s = 3\/7 + h. What is the biggest value in -5, 2, s?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2.78182 milligrams in micrograms?\nAnswer: 2781.82","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -29 + 20 - (7 + (-1 - 5 - -9)).\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) = -2*m**2 + 66*m + 2. Let s be p(33). Solve 4*u + k - s*k - 14 = 0, 2*k + 13 = 3*u for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 2 - a)*(0*a + 3*a - a) + (-2*a + 0*a + a)*(2*a - 3*a + 0*a) + 2 + 2*a**2 - 2.\nAnswer: a**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (12*v**2 + 20*v - 20*v)*(6*v**2 - 27 - 2*v + 27).\nAnswer: 72*v**4 - 24*v**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*c - 132*c**2 - 3*c + 125*c**2.\nAnswer: -7*c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 + 1 + 13 + -26 + 6.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:57 PM and 2:49 AM?\nAnswer: 532","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*l - 5*g = -28, l - 4*g + 8 = -g. Suppose -l*k + 31 = -13. Calculate the remainder when 31 is divided by k.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 10*u**2 - 122733*u**3 - 10*u**2 - 3*u**2 + 122729*u**3 + 3*u**2.\nAnswer: -4*u**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.321? (a) 4 (b) -5\/2 (c) 0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from lylylyyyyly. What is prob of picking 4 l?\nAnswer: 1\/330","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (5\/(-3)*1)\/(111\/333). Let i(h) = -4*h**2 - 18*h + 10. Let l be i(v). Solve 4*w - 8 = l, -5*w - 1 + 19 = -4*r for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1.315973 rounded to 3 dps?\nAnswer: -1.316","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from xrtxrxrtttrtrrurtqr. Give prob of picking 1 u and 1 r.\nAnswer: 8\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -15*v = -11*v for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -0.5 - -2.5. Let u = 0 - 1. Let o = b + u. Is o != -2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (176\/20 + -9)\/(2\/2). What is the nearest to l in -3, 2, -1\/6, 4?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) be the second derivative of -r**7\/70 + r**5\/20 - 3*r**2\/2 + 3*r. Let h(j) be the first derivative of g(j). What is the third derivative of h(c) wrt c?\nAnswer: -72*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 1384921 to the nearest integer?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) be the second derivative of 7*s**4\/12 - s**3\/6 - 16*s. Let h be a(1). Let n(z) = z**3 - 3*z**2 - 13*z + 5. Does 5 divide n(h)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3265751705?\nAnswer: 5, 457, 571, 2503","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 192 - 84 = 12*o. Let i(p) = p**3 - 9*p**2 + 2*p + 9. What is i(o)?\nAnswer: 27","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*g - 22*s + 23*s - 22 = 0, -2*s + 2 = 4*g for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from imbcmmibmbmc. Give prob of picking 2 b, 1 m, and 1 c.\nAnswer: 2\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 610\/33 - 56\/3. Let i be ((-133)\/((-6783)\/(-102)))\/((-1 + 0)*-2). Let m = -0.2 + -0.2. Which is the biggest value? (a) m (b) q (c) i\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -1\/2158 + -8545\/187746. Are 1 and u nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 w and 1 q when two letters picked without replacement from qpqwkqobqoqo.\nAnswer: 5\/66","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*w + 0*h + 13*h - 452 = -9*h, h - 13 = -5*w + 33 for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*((sqrt(192) + sqrt(192) + -4 + -1)**2 + 4*sqrt(192)*5) + -3.\nAnswer: -796","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 357 + -277. What is the greatest common divisor of 3440 and y?\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0 - -0.2. Which is the third smallest value? (a) 4 (b) h (c) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 681 minutes before 1:09 AM?\nAnswer: 1:48 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 17657 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -0.4 * -201\nAnswer: 80.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 1910357 + -1910356.97799969. Let l = -0.022 + d. Round l to seven decimal places.\nAnswer: 0.0000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 62890783 a multiple of 38?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) = 11*i - 8. What is the remainder when j(7) is divided by 18?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*x + 23 = 5. Calculate the remainder when 15 is divided by x.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 69.1 - 69.10001246. What is l rounded to 6 dps?\nAnswer: -0.000012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3*3*-2*(-3)\/(-18)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) be the second derivative of -2*y**7\/21 + 56*y**6\/5 - 157*y**5\/5 - 190*y**4 - 656*y**3\/3 + 3*y + 2. Solve u(t) = 0.\nAnswer: -1, 0, 4, 82","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 347 a factor of 572981668?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -3 (base 13) to base 12\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 304800 is divided by 32.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) = -11*t**2 - 6*t - 6. Let d(p) = -p + 1. Let g(f) = 6*d(f) - w(f). What is the first derivative of g(j) wrt j?\nAnswer: 22*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) = -444*m. Let z(w) = 10*w. Give y(z(b)).\nAnswer: -4440*b","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -24, -87, -192, -339, -528?\n\"Answer: -21*l**2 - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (100*s - 92*s + 142*s + 278*s)*(0 - 7 - 2).\nAnswer: -3852*s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) = 3*r**3 + 5*r**2 + 7. Let l(g) = -16*g**3 - 25*g**2 - 36. Let f(t) = 2*l(t) + 11*w(t). Let u(k) = k**3 - k**2 - k - 5. Let a be u(0). What is f(a)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*w**3 - 16350*w**2 + 1961211*w - 59476464 = 0. What is w?\nAnswer: 61, 5328","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -215*q + 2577*q - 5334 - 3792 + 2040 = 0 for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 15072 and 46594617.\nAnswer: 471","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -10127 - -10189. Solve -p*c + 98*c - 180 = 0 for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*o = -12*o + 840. Suppose 2*q = -2*z + 188, -z + 2*q + 3*q + o = 0. Calculate the lowest common multiple of 36 and z.\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) be the second derivative of -p**4\/48 - 11*p**3\/24 - 3*p + 2. Factor g(k).\nAnswer: -k*(k + 11)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) = -u**3 + 7*u**2 + u + 1. Give m(7).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Express 5*i**3 - 3*i**3 - 4*i**2 - i + 6*i**2 in the form s*i + o + z*i**2 + h*i**3 and give s.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Divide -2030 by 5.\nAnswer: -406","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 2 - -6*(-6)\/(-9). Suppose i*q - 16 = 2*q. Calculate the remainder when 21 is divided by q\/8*22\/1.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: -4*6\/48*(6 + 644\/(-126))\nAnswer: -4\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth biggest value in -3, 17, 1, 97\/4, 5, 4, -4?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -15*s + 42*s - 29*s - 21*s.\nAnswer: -23*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let j be ((-4000)\/3)\/((-7)\/1260). Round j to the nearest 100000.\nAnswer: 200000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 16 divide 5177430?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 264993 and 91599.\nAnswer: 425843751","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 157 is divided by 23.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0000136969 rounded to 6 decimal places?\nAnswer: -0.000014","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2.0620167 seconds to minutes.\nAnswer: 0.034366945","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l\/(l*l*l**5))\/(l\/(l\/l**(2\/5)*l)*l)*(l**2*l)**25 assuming l is positive.\nAnswer: l**(343\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand -p**2 - 2*p**2 + 2*p**2 + (0 - 1 - 1)*(-4*p**2 + p**2 + 2*p**2) + 6*p**2 - p**2 - 4*p**2 + 2*p**2 - p + p - 3*p**2 + p - p + 4*p.\nAnswer: p**2 + 4*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -342, -331, -312, -285, -250, -207?\n\"Answer: 4*b**2 - b - 345","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) be the first derivative of -43*q**2\/2 - 10*q + 154. Let b(k) = 3*k - 1. Let a(d) = 12*b(d) - 3*x(d). What is the first derivative of a(l) wrt l?\nAnswer: 165","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 564 minutes before 6:20 PM?\nAnswer: 8:56 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -387 * -0.3\nAnswer: 116.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Factor 33*q + 63\/8*q**2 + 67\/2 - 1\/8*q**3.\nAnswer: -(q - 67)*(q + 2)**2\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7780 (base 12) in base 2?\nAnswer: 11001110010000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 24 + -23. Let s(m) = b + 8 + 19*m - 1 - m**2. What are the prime factors of s(17)?\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-3)\/(-13))\/((-6525)\/(-1894425))?\nAnswer: 67","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth biggest value in 0.5, 28, -0.5, -1\/20, 0.2, 3\/8?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -145*f + 851*f + 5 - 5 + 2 - 1 to the form u + t*f and give u.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 19849 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is (5 - (-7 + 16)) + (0 - -2)\/((-74)\/(-851))?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/4 of a tonne in kilograms?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 356 and 435332?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*c + f + 12 = 3, 3*c - 2 = -4*f. Suppose c = -4*b + 50. What is the least common multiple of (3\/5)\/((-77)\/(-770)) and b?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (60\/(-8) - -6)*(-2)\/3?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 0, 3\/10, -2\/23?\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(10) - (sqrt(40)\/(sqrt(16)\/sqrt(4)) + sqrt(10) - sqrt(10)))\/(sqrt(20)\/sqrt(4)*-4).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) = -3*x**3 - 32*x**2 - 82*x - 14. Calculate v(-6).\nAnswer: -26","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 8556907 to the power of 1\/6, to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 18 - 0\/(7\/(7\/2)). Solve -3*z = d - w, 0 = d + 4*d + 5*z - 40 for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 1709*n**4 - 66*n**2 + 163*n - 139*n + 56*n**2 + 123*n**4 wrt n?\nAnswer: 43968*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) = 11*t + 46. Let x be d(-4). Solve x = 4*c + 14 for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -4817 + 10487. Does 105 divide j?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -28 + 36. Suppose 0 = 2*m - 6*m + 2*z + 12, 4*m - h = 3*z. Suppose y - x + 4*x = -10, -30 = -5*y + m*x. Solve 0 = -c + y - 0 for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 71 a factor of 3132591?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Work out -2619 * 0.2.\nAnswer: -523.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 8064820.\nAnswer: 2, 5, 403241","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) = -669388*y. Let h(g) = 19*g**2. Give s(h(k)).\nAnswer: -12718372*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*t + 11606*t**2 + 15390*t**2 - 7*t**3 - 2*t - 26996*t**2.\nAnswer: -7*t**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose f**3\/3 - 6610*f**2\/3 + 52832*f\/3 - 105632\/3 = 0. What is f?\nAnswer: 4, 6602","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -3382\/7 - -487. Calculate the common denominator of 49\/11 and l.\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.22459555 times -0.1?\nAnswer: 0.022459555","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -2579 + 2584. Let u(l) = -10*l**3 + 9*l**2 + 6*l + 7. Let a(i) = 7*i**3 - 6*i**2 - 4*i - 5. Determine q*u(d) + 7*a(d).\nAnswer: -d**3 + 3*d**2 + 2*d","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14*f - 44 = -13*f. Let d = f - -79. Is d composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*y**2 - 4*y**4 + 61 + 2*y**2 - 2*y**2 - 60 + 2*y - 4*y**3 as d*y**2 + z + x*y**3 + w*y**4 + i*y and give x.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 759, 1362, 1965?\n\"Answer: 603*b + 156","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((k\/(k**(-3\/5)\/k))\/k*k)\/k)\/k*k**(4\/9)*(k**(-1))**15)**(-28\/9) assuming k is positive.\nAnswer: k**(17584\/405)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Convert -12221202220202 (base 3) to base 10.\nAnswer: -3164528","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*s**3\/3 + 786*s**2 - 219856*s - 21159328\/3.\nAnswer: -2*(s - 604)**2*(s + 29)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) = 7*w**2 - 7*w - 7. Let r be 0 + -8 + (2 - 0). Let i(k) = -20*k**2 - 7 - 65*k + 85*k + 27. Let j(g) = r*i(g) - 17*n(g). Give j(2).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, -2\/11, 10021, -4\/3, 2\/13, 1 in decreasing order.\nAnswer: 10021, 1, 2\/13, 0, -2\/11, -4\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 39 a factor of 132312?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -967, -1931, -2867, -3763, -4607, -5387?\nAnswer: -6091","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 549, 1821, 3943, 6915, 10737, 15409?\n\"Answer: 425*i**2 - 3*i + 127","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 10628?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Convert 44654 (base 13) to base 2.\nAnswer: 11110010011010011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) = 2*u - 21. Let a be b(10). Let q be (-3 - -11) + 3 + a. Solve 0 = -2*l - q for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(50) + -4 + sqrt(50) - sqrt(8)\/sqrt(4)*-2 - 3*((sqrt(242) - (sqrt(242) - (4 + 2 + sqrt(242))))**2 - sqrt(242)).\nAnswer: -838 - 351*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2\/(-6 + 85\/15)?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 106270627 to the nearest integer?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:06 AM and 9:01 AM?\nAnswer: 355","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*w**3 + 18*w**2 + 24*w - 40 = 0. Calculate w.\nAnswer: -2, 1, 10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {y: 1, k: 2, e: 1, c: 2, h: 1}. Give prob of sequence hck.\nAnswer: 2\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Convert 59.37783 millilitres to litres.\nAnswer: 0.05937783","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -338*q + 90 = -329*q. Solve 0 = q*y - 14 + 4 for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1040137 is divided by 43339?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 8197816?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Convert 5410 (base 9) to base 2.\nAnswer: 111110001010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g\/g**(-1))\/g*g*g\/g**(-9))\/(g**(-2))**(-48) assuming g is positive.\nAnswer: g**(-84)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*a = 4*j - 88, 3*j + 179*a - 74 = 175*a. Let i be ((-8)\/6)\/((-4)\/6). Calculate the least common multiple of j and (-1)\/5*i*-45.\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 53 + 6*g + 39 - 152 + 20 in the form s*g + o and give s.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -38745254, -77490509, -116235764, -154981019, -193726274, -232471529?\n\"Answer: -38745255*p + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify u*u**8*u**(2\/13)\/u*u assuming u is positive.\nAnswer: u**(119\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*h**3 - 5*h**3 + 2*h**3.\nAnswer: -h**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 21 - 25. Let z(g) = 15*g**2 + 0*g**3 - 2 - 19*g**2 - g**3. Give z(x).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) = v**3 - 15*v**2 + 14*v + 18. Let n be c(14). Let r(q) = 39*q**2 - 1 - 4 - 2*q - 20*q**2 - n*q**2. Is r(-5) a multiple of 30?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 27*d + 6071 + 2921 = 29*d. Is 31 a factor of d?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*n + 2*n + 2*o + 22, 0 = -3*o - 6. Suppose 0 = 5*c + 4*p - 37, -n*c - p + 34 = -2*c. Is c\/(-12) - 38\/(-8) a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) = a. Let r(c) = -20760*c. Give i(r(o)).\nAnswer: -20760*o","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, -3, 0, 2314, 4, 104.\nAnswer: -4, -3, 0, 4, 104, 2314","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Round -70.45167 to the nearest 10.\nAnswer: -70","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Convert 12000221 (base 5) to base 4.\nAnswer: 122231330","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -91 + 43?\nAnswer: -4d","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -132003333 + -112?\nAnswer: -132010111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -4 + -3. Let x be (2 + r)*6\/(-10). Suppose -3*p - m + 885 = -p, -x*p + 1325 = m. Round p to the nearest 100.\nAnswer: 400","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 40 + -20. List the prime factors of b.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -94367, -188705, -283017, -377303, -471563, -565797?\n\"Answer: 13*c**2 - 94377*c - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) = -5*o**2 - 3*o - 2. What is w(-2)?\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Round 11653.9407 to the nearest integer.\nAnswer: 11654","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in -1036, -2\/71, -61\/4?\nAnswer: -2\/71","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 2\/7 (b) 7.4 (c) 1\/7 (d) -2\/15 (e) -1\/7\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 30*h = 851*h - 3284 for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sort 50, 424, -28 in descending order.\nAnswer: 424, 50, -28","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 13.8963 milligrams?\nAnswer: 13896.3","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*(1*sqrt(2448) + sqrt(2448) + -4 + sqrt(2448)*-1 + -2 + -4)*-5 + -3)**2.\nAnswer: -5640*sqrt(17) + 63409","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 138121.05 months in centuries?\nAnswer: 115.100875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:44 AM and 11:06 PM?\nAnswer: 682","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1 + sqrt(700))**2 + 0.\nAnswer: 20*sqrt(7) + 701","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*n - 162 = -3*a, -1606*a - 72 = 2*n - 1603*a for n.\nAnswer: -39","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5625*h**3 - 5606*h**3 + h + 16861*h**3 + 0*h - 5626*h**3 - h.\nAnswer: 4*h**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify i**(-31)\/(i*i*i**16\/i) assuming i is positive.\nAnswer: i**(-48)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) = -2*x**3 - x**2 + x - 2. Let w = 54 - 32. What is the lowest common multiple of w and f(-2)?\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) = -271*c**3 - c**2 - 10*c + 2. Let k(x) = 2*x**3 - x**2 + x + 2. Determine -k(d) + o(d).\nAnswer: -273*d**3 - 11*d","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -560136 + 5?\nAnswer: -560131","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let m be -4 + 2 - 1*(2 - 6). Let o(f) = 5*f**2 - 4. Let z(a) = -a**2 + 1. Calculate m*o(l) + 9*z(l).\nAnswer: l**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Express 7 - 51*f**2 - 2 + 47*f**2 - 5 - 32*f as w*f**2 + k + g*f and give g.\nAnswer: -32","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*g - 2*d + 1 + 3 = 0, -d + 5 = 2*g for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 42*l*s**3 - l*s**2 + 29*l + 2*s**3 - s**2 - 1343*s wrt l.\nAnswer: 42*s**3 - s**2 + 29","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: -1720134 (base 10) to base 6\nAnswer: -100511330","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence eo when two letters picked without replacement from bvsoqevvvvssosvvs.\nAnswer: 1\/136","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) = 3*o + 10. Let i be w(-3). Is i*((-711)\/(-4) - (-1)\/4) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 10297 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*g = -2*t + 1 + 1, g = -4*t - 21. Let w be t\/14 + (-6392)\/(-28). Let h = -154 + w. Is h prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2661108?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 309967 is divided by 303.\nAnswer: 301","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -8154, -8487, -8730, -8883, -8946, -8919, -8802?\n\"Answer: 45*o**2 - 468*o - 7731","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 2 - 2*r**2)*(3*r + 4*r - 5*r)*(-r**2 + 1 - 1).\nAnswer: 4*r**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 983 is divided by 428?\nAnswer: 127","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) = -j**2 + 11*j - 10. Let b be a(8). Let t = 18 - b. What is the units digit of -6*(-4)\/24*t?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9 = l + 2*v - 10, 6 = -l + 5*v. Sort -60, -2, l, 5 in descending order.\nAnswer: 5, l, -2, -60","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.2 * -52238.763.\nAnswer: -10447.7526","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1984 and 1653622336?\nAnswer: 1984","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 148.292 - 148. Let u = v - 0.27155. What is u rounded to 3 decimal places?\nAnswer: 0.02","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 743635*w**2 + 1064706 wrt w.\nAnswer: 1487270*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 q and 1 t when two letters picked without replacement from {x: 1, q: 9, e: 1, t: 5}?\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 7\/(7 + -9 + -3)\nAnswer: -7\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*g = -3*g + 4. Let c = 13 - 15. Let o be 2\/4*g\/c. Let l(u) = 2*u - 1. Determine l(o).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (48\/(-21) - -2) + (-16)\/(-7). Solve -8*i - 40 = x*i for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11005 - 1010 = 5*t. List the prime factors of t.\nAnswer: 1999","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*z + 849 + 211 = 0. Let k(g) = 6*g + 70. Let h be k(-14). Let q = h + z. Is q a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*u - 2*v = -2567, u - 617 = -v + 237. Let r be (-7)\/(7\/576) + 4. Let o = u + r. Is o a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4287.\nAnswer: 3, 1429","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) = 19*c**3 - 106*c**2 + 66*c + 260. Calculate r(3).\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -a + 5*u = 24, -30*a + 35*a - 2*u = -28 for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13*y = 26*y + 207*y - 246. Sort -1, 0, 3, y, 225.\nAnswer: -1, 0, y, 3, 225","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify h\/(((h\/(h*h\/h**6*h*h))\/h)\/h*h)*h\/(h**(-1\/4)\/h)*(((h\/(h**(3\/5)\/h)*h)\/h)\/h)**(5\/8) assuming h is positive.\nAnswer: h**(3\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) = 2*q**2. Let k(s) be the third derivative of -3 + 0*s - 16*s**2 + 0*s**3 + 13\/24*s**4. What is k(l(i))?\nAnswer: 26*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 13167594 and 36.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 5360697 to the power of 1\/2, to the nearest integer?\nAnswer: 2315","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 112*k - 429 = 87 + 44. Solve -3*m - k*l = 22, -4*m + l + 11 - 2 = 0 for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) = i + 31. Is c(-8) a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 140624 a multiple of 94?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Put 12, 5, 1, 1408 in ascending order.\nAnswer: 1, 5, 12, 1408","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 4\/54 - 8\/(4968\/(-9269)). Calculate the highest common divisor of u and 2700.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -21 - -73 - 1 - (10 + 1 - (2 - 0))?\nAnswer: 42","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 7?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 2 - 5. Suppose -12*s + 9*s = -27. Let h = s - o. Is 12 a factor of h?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 89 and 308029.\nAnswer: 89","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) = -3*u - 15. Let b(w) = 1. Let q be 2*(-1)\/(-2) + 0. Let m(o) = -3*o + 99. Let s be m(28). What is q*v(i) + s*b(i)?\nAnswer: -3*i","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) be the second derivative of 0 - v + 25\/6*v**3 + 5\/3*v**4 + 5\/2*v**2. Let u(q) = 0. Calculate q.\nAnswer: -1, -1\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 8269761 is divided by 161.\nAnswer: 157","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 146*r + 2370 = 225*r for r.\nAnswer: 30","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k**33\/k)\/(k\/(k**(5\/2)\/k*k)) assuming k is positive.\nAnswer: k**(67\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1872, -3713, -5542, -7353, -9140, -10897?\nAnswer: -12618","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -40*p = -35*p - 10. Solve 3*u - 11 = -p for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 5 * 4726.49\nAnswer: 23632.45","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 57*t + 143 - 314 for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 64179178 a multiple of 213?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) = l + 19. Let s = 287 - 301. What is h(s)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -0.18 + 0.08. Which is the third biggest value? (a) k (b) -5 (c) 2\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1\/2, -2\/91, 0.3, 251\/8.\nAnswer: -1\/2, -2\/91, 0.3, 251\/8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1 + -1 - (20 + -28)) + -12.\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 527650 - -185?\nAnswer: 527845","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 20\/(-190) + (-177)\/(-57). Suppose -4*n + 4*a = -12, -4*n - 12 - 6 = 2*a. Let u = n - -19. Solve 5*j = 2*z - 7*z + 30, 2*z + o*j = u for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 101 + 10011111101101101?\nAnswer: 10011111101110010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) = -18*v**2 - 10*v. Let n(c) = 9*c**2 + 4*c. Let a(k) = -2*g(k) - 5*n(k). Let h(x) = 4*x**2. Calculate a(h(p)).\nAnswer: -144*p**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 13 - -37. What is the tens digit of z?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 380 a multiple of 15?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Divide 20 by 1431.\nAnswer: 20\/1431","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Convert 332279.7 millennia to decades.\nAnswer: 33227970","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -11 - -13. Suppose 0*f = 30*f - 360. Solve 3*w = -0*w - f, d - h*w = 8 for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 476 is divided by 168?\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -8 - -13. Let f(i) = 4*i**2 + 5. Let u(q) = q**2 + 1. What is d*u(b) - f(b)?\nAnswer: b**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 473579.\nAnswer: 473579","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 6315 - -20635?\nAnswer: 30253","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from eeeeeee. What is prob of sequence ee?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (6\/81)\/((-2726)\/(-1030428)).\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 38 divide 10136462?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) = 5*x**3 + 11*x**2 - 11*x + 194. Let j(i) = -i**3 - 2*i**2 + 2*i - 39. What is 2*a(k) + 11*j(k)?\nAnswer: -k**3 - 41","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 13 and 181584?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -7 + 6.9. Suppose 0 = 18*v + 14 - 374. Let u be 8\/(-2)*(-5)\/v. Which is the second smallest value? (a) u (b) -4 (c) n (d) -1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1561?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Are 1\/2439 and -74 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 h and 3 t when four letters picked without replacement from thttthttt?\nAnswer: 5\/9","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 289.264 + -0.264. Let b = u - 278. Which is smaller: 1\/7 or b?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence fu when two letters picked without replacement from {u: 1, f: 4, h: 2, k: 10, l: 2}.\nAnswer: 2\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 1857933413 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is c6c1 - -c?\nAnswer: c6cd","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Express (-21712 - 22794 - 18188)*(3*s - s - s) as u*s + l and give u.\nAnswer: -62694","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00009413 rounded to six decimal places?\nAnswer: -0.000094","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 83*r - 5469 = 60 + 2605 for r.\nAnswer: 98","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) = n**3. Let h(k) = 4*k**3 + 1. Let f(u) = -17*g(u) + 6*h(u). Let o(j) = -j**3 - 1. What is -f(i) - 5*o(i)?\nAnswer: -2*i**3 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, -6, 89, -2 in ascending order.\nAnswer: -6, -2, 2, 89","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (17 - ((-9 - -7) + -6 + -1)) + -7.\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express -17 - 7*w**2 + w**2 + 14 + 6*w**2 + 75*w**3 as i*w + z + x*w**2 + n*w**3 and give n.\nAnswer: 75","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*g - 25*l + 64 = -23*l, -4*l - 82 = -6*g. Suppose 3*n = 2*n, 4*b + 4*n - 264 = 0. What is the smallest common multiple of b and g?\nAnswer: 330","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00003754086 to six decimal places.\nAnswer: -0.000038","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -19213\/12 - -1602. What is the common denominator of 53\/9 and x?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 495 a factor of 1243935?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5 + -6*(sqrt(475)*-4 + -2)*4 + 2)**2.\nAnswer: 43200*sqrt(19) + 4379625","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + 5*-4*(sqrt(11) - 5*(sqrt(11) + 0)).\nAnswer: -1 + 80*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.1 plus 5944703897?\nAnswer: 5944703897.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 - 1 + 9)*(-5*l + 4*l + 0*l + 2 - 2 - 2*l + (-2*l - 2*l + 5*l)*(0 - 4 + 5)) + (0 + 3 - 4)*(3*l - 6*l + 2*l) + 0 - 2*l + 0.\nAnswer: -15*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) = 86 + 217*y + 219*y - 433*y. Let t be p(0). Is 9 a factor of t*(-4)\/16*-2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*g + 59 - 94 = 3*k, g = -5*k - 47 for k.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 97*d**2 - 2*d**3 - 187*d**2 + 90*d**2.\nAnswer: -2*d**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 40346*s + 49*s**2 - 56*s**2 - 40346*s.\nAnswer: -7*s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 246061 + -13?\nAnswer: 246046","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2? (a) 9 (b) 0.1 (c) -1\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*v = c + 14, 2*c = -0*c + 3*v + 17. Let f(w) = -2*w**2 - 305*w - 3738. Let m be f(-139). Let n(g) = g. Let a(s) = -18*s. Give c*a(i) + m*n(i).\nAnswer: -3*i","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Express 9*k**2 - k**4 - 14*k**2 + 8*k**2 - 3 in the form q + h*k**2 + d*k + i*k**4 + t*k**3 and give q.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.1 and 8.5229.\nAnswer: -0.85229","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*(sqrt(384)\/(sqrt(144)\/(sqrt(48)\/sqrt(4))) + sqrt(512) + (0 + sqrt(512))*-2).\nAnswer: 24*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 63798, 63786, 63772, 63756, 63738, 63718?\nAnswer: 63696","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 16 divide 64?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 0 - 55\/(-6) - ((-20)\/(-11))\/((-1062)\/(-5841)).\nAnswer: -5\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 39 in 1\/5, -1, 27, -3?\nAnswer: 27","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) = 1 + 5*n**2 - 1. Suppose 0 = 2*d - 5*d - 15. Let o(v) = v - 3. Let p(y) = 2*y - 5. Let t(l) = d*o(l) + 3*p(l). Calculate w(t(a)).\nAnswer: 5*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 65, 54, 41, 26, 9, -10, -31?\nAnswer: -54","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-6)\/(-2))\/((-12)\/936*13).\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -1, -53, 78.3, 0.1, -2?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -3.9 + 3.8999949. What is l rounded to 6 decimal places?\nAnswer: -0.000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2\/3 in -1, -22, 1\/3, 0.5?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) = 2*d**2 + 1. Let w(s) = 3*s**2 - 14. Let h(j) = j**2 - 5. Let x(g) = 11*h(g) - 4*w(g). Calculate l(o) - x(o).\nAnswer: 3*o**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2 + 1 + sqrt(2))*4.\nAnswer: 4*sqrt(2) + 12","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.4492542 years in months?\nAnswer: 5.3910504","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 672 and 96.\nAnswer: 96","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 9\/90 + 15257\/(-1520) + 10?\nAnswer: 1\/16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1108755 and 240155.\nAnswer: 215","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -6.4 - -5.242.\nAnswer: -1.158","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 4 + -6. What is the remainder when (k - -1)\/(-1)*19 is divided by 7?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 2*(3 + (-11)\/2). Let t be (-24)\/(-32)*(c + 1). Let d(i) = 8*i**2 + 3*i. Let l be d(t). Calculate the greatest common factor of l and 9.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -1b + a7?\nAnswer: 8a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -9 + 6. Let b be ((-4)\/(-7))\/(40*(-16)\/448). What is the smallest value in x, b, -2\/11?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ojqjoobpccbopoocpjo. Give prob of sequence po.\nAnswer: 7\/114","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*c + 55 = 5*d, -2*c - 25 = 3*d - 58 for d.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 260756 is divided by 43458.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let b be ((-2)\/(-4) + 2)*(-29)\/((-1595)\/(-88)). Let r(j) = -72*j**3 + 33*j - 33. Let k(n) = -9*n**3 + 4*n - 4. Determine b*r(t) + 33*k(t).\nAnswer: -9*t**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 215*y**2 - 413*y**2 + 211*y**2.\nAnswer: 13*y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) be the third derivative of m**9\/5040 - m**5\/40 + m**4\/8 - m**2. Let d(n) be the second derivative of b(n). Differentiate d(x) wrt x.\nAnswer: 12*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 m, 1 g, and 1 n when three letters picked without replacement from {n: 1, o: 1, g: 1, j: 1, m: 1, x: 2}?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) be the second derivative of -v**3\/3 - 57*v**2\/2 + 60*v. Suppose -3*f + 172 = f. What is the remainder when f is divided by u(-31)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (9*v + 15*v - 5*v)*(-2*v - 3*v - v).\nAnswer: -114*v**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: -1.86*-2610\nAnswer: 4854.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 1653 + -1981. Does -328 = p?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 39275327 to the nearest integer?\nAnswer: 6267","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 4637141 or 4637140?\nAnswer: 4637141","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*h + 0*h + 4 = 0. Find the first derivative of -c**2 - 2*c**2 - c**2 + h*c**2 + 3 wrt c.\nAnswer: -4*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -28*r - 13*r = -175 - 194 for r.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*sqrt(525) + sqrt(21))\/(sqrt(189)\/sqrt(3))*-1.\nAnswer: -16*sqrt(3)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence lww when three letters picked without replacement from lllllwwlww.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -599, 814, 2211, 3586, 4933, 6246, 7519, 8746?\nAnswer: 9921","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -l*s**3 - 29*l*s**2 - 16*s**3 - 2 wrt l?\nAnswer: -s**3 - 29*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 30.4 - 27. Let b = -3.1 + u. Let x = -6 - -6.1. What is the third smallest value in 0, x, b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -3.649*0.0973\nAnswer: -0.3550477","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -11 - -12 - 28\/(-2) - 33\/3.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 202 - 73. Suppose -x - 4*u + 70 = 0, -2*x + 3*u + r = -0*u. Is 11 a factor of x?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 5 + -ab8ca5?\nAnswer: -ab8ca0","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 145158995 to the power of 1\/9, to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 483 to the power of 1\/5, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 18214566?\nAnswer: 2, 3, 3035761","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 3 - (-10 + 1 + 4)\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) be the second derivative of -v**4\/30 - 29*v**3\/5 + 88*v**2\/5 + 320*v. Factor p(f).\nAnswer: -2*(f - 1)*(f + 88)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 2 (b) -2 (c) -0.75\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) = 16*s**4 - 133*s**3 - 325*s**2 - 176*s + 11. Let i(y) = -3*y**4 + 27*y**3 + 65*y**2 + 35*y - 2. Let w(n) = -11*i(n) - 2*v(n). Factor w(d).\nAnswer: d*(d - 33)*(d + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 (base 9) in base 4?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) = -n + 2. Let z be j(0). Suppose 5 = 139*m - 142*m + l, 5 = 2*m + l. Suppose 4*a + 20 = z*q, m*a - 10 = -q - 4*a. Solve -w + 3*w + q = 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 1232293 and 2464586?\nAnswer: 2464586","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 10489.\nAnswer: 17, 617","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 27258215 is divided by 58494.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (8 + 1576\/(-196))*-7. Let n be (15\/6)\/1 - 1. Let y = -0.08 + -0.42. What is the fourth smallest value in y, s, -1\/5, n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -5 + 49?\nAnswer: 44","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 0.80493ms?\nAnswer: 0.00080493","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 547 minutes after 12:14 PM?\nAnswer: 9:21 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -86 - -48. Let w = c - -57. What is the units digit of w?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -765\/28 + 107\/4. What is the nearest to 0 in b, -4, -0.4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 35\/178888 and 1\/1416.\nAnswer: 536664","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 1\/4 (b) -0.01 (c) 142 (d) -0.3 (e) 0.2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) = -17*r. Let m(k) = -715*k. What is 255*j(t) - 6*m(t)?\nAnswer: -45*t","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((t**0\/t)**(-24))**47)**(-43) assuming t is positive.\nAnswer: t**(-48504)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 90 and 6525?\nAnswer: 13050","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 35042534.\nAnswer: 2, 173, 101279","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in -5, 0, 74?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 959176?\nAnswer: 2, 47, 2551","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, -16, 3, 4, 1.\nAnswer: -16, -3, 1, 3, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) = -a**2 - 9*a - 4. Determine q(-6).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-1 + sqrt(252))*1 - (2 + -1 + sqrt(252)))**2 + sqrt(252) + (1*(sqrt(252) + (1*sqrt(252) - sqrt(252))))**2 + (-2*sqrt(252))**2 + -3.\nAnswer: 6*sqrt(7) + 1261","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1120?\nAnswer: 2, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -5 (b) -1 (c) -4 (d) -2\/15 (e) 119\/6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -9 + 14. Let n(u) be the second derivative of -u**5\/60 + u**4\/6 + u**3\/6 - u. Let r(a) be the second derivative of n(a). Give r(d).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 44*d + 273*d - 6*d.\nAnswer: 311*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -60.3187 - -0.0187. Let t = r + 60.3369. What is t rounded to three decimal places?\nAnswer: 0.037","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose j - 4*j + 12 = 0, -4*j + 732 = 4*i. Let u = -18 + i. Is u prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -1b39a + -9ea?\nAnswer: -1bd84","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:17 AM and 6:22 AM?\nAnswer: 185","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -12*c - 70*c**4 + 40*c + 83*c**4 wrt c?\nAnswer: 156*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) = 18*f**2 - f - 3*f**2 - 160*f**3 - 9*f**2 - 1 - 7*f**2. Let d be b(-1). Suppose 13*h - 16*h = -d. What are the prime factors of h?\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 9185048 and 208?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 2\/6 - 270\/162*(-86)\/2. What is the highest common divisor of t and 9000?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, -3, 210, -4.\nAnswer: -4, -3, 2, 210","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) = -5*b - 2. Let k be s(-2). Suppose -46*c + 39*c = 1211. Let a = c + 197. Calculate the greatest common factor of a and k.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0 + -1. Let h be -1 - 2 - (g + -4). Suppose -8 = -h*y - 2*y. Solve -v = -k + 2, -1 = 2*k + v + y*v for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*p - 18*p + 1092. What is the highest common factor of p and 300?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -724\/5019 - -1\/717. Which is the nearest to -0.1? (a) 0.03 (b) h (c) 9 (d) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 26469?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*m + 4 = 0, -328*m + 37 = -4*x - 331*m. Let z(i) = -i + 11 + 2*i + 0*i. Calculate z(x).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 199 divide 21260165?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 508 minutes after 10:35 PM?\nAnswer: 7:03 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) be the first derivative of 2*y**3\/3 + 2. Let r(k) be the second derivative of -k**4\/4 - 5*k**2\/2 + 25*k - 9. What is r(g(d))?\nAnswer: -12*d**4 - 5","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.3 and 5167804.\nAnswer: -1550341.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 641529?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) = q**2 + 3*q + 5. Let a(s) = -2*s**2 - 8*s - 14. Let d = 12281 - 12284. What is d*a(j) - 8*l(j)?\nAnswer: -2*j**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -294983 rounded to the nearest 10000?\nAnswer: -290000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 283*i + 2*k = 284*i + 6045, k - 12093 = 2*i. Is -6047 != i?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-3)\/(-51))\/((64\/(-320))\/(2\/(-10))).\nAnswer: 1\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 20*f**3 - 8*f**3 - 7*f**3.\nAnswer: 5*f**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:10 PM and 6:08 AM?\nAnswer: 538","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4656876 is divided by 430.\nAnswer: 406","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -1 - -2. What is the units digit of o?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 35370*w**3 - 28086 wrt w?\nAnswer: 106110*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 divided by -23797?\nAnswer: -2\/23797","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) = -16*d**3 - 3*d - 5. Let u = -3773 - -3767. Let l(t) = 15*t**3 + 4*t + 6. What is u*s(q) - 5*l(q)?\nAnswer: 21*q**3 - 2*q","meta":{"dup_signals":{},"source":"polynomials__add_test"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*d - 4*n + 3*n - 33 = 0, 0 = -4*n + 8. Let h = 9 + d. Solve -r = -h - 1 for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (10\/(-9) - (-12 + 14)) + 3.\nAnswer: -1\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -4589 - -41362\/9. What is the common denominator of -89\/74 and k?\nAnswer: 666","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -9 - 356c0d?\nAnswer: -356c16","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1416908.\nAnswer: 2, 61, 5807","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 286\/(-510) - (-1)\/(35\/21).\nAnswer: 2\/51","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 823, 1012, 1199, 1384, 1567?\n\"Answer: -a**2 + 192*a + 632","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*c + 2*c - 3*a + 12 = 0, -5*c + 12 = 3*a for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.52149326 to three decimal places.\nAnswer: 0.521","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 96 = m + 2*p + 63, -3*m = 4*p - 69. Factor 4\/7*i**2 + 0*i + 0 + 4\/7*i**4 - 8\/7*i**m.\nAnswer: 4*i**2*(i - 1)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -79875666*p**3 + 39937720*p**3 + 39937903*p**3.\nAnswer: -43*p**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 344172489?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 8878 is divided by 141.\nAnswer: 136","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) be the third derivative of -a**5\/60 + 7*a**3\/6 + 245*a**2. Suppose 3*m = 8*m. Calculate y(m).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -2030, -3443, -4854, -6263, -7670, -9075, -10478?\n\"Answer: m**2 - 1416*m - 615","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -41\/114 and 49\/70332.\nAnswer: 1336308","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 3195 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: Two letters picked without replacement from {i: 1, p: 5, k: 1, f: 1, l: 9}. What is prob of picking 1 f and 1 k?\nAnswer: 1\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:41 PM and 12:48 AM?\nAnswer: 547","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 26, 52, 90, 146, 226, 336, 482?\nAnswer: 670","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*y - 11*y - 15953. Let j = y + 1059. What is j rounded to the nearest 100?\nAnswer: -1200","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from nnnynynn. Give prob of picking 3 n.\nAnswer: 5\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -3*i, l = -0*l - 2*i + 5 for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) = a**3 + 13*a**2 + 9*a. What is the hundreds digit of z(-9)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be ((-6)\/(-10))\/((-3)\/(-15)). Suppose -37 = m*u - 106. List the prime factors of u.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(70) + (sqrt(70) - (sqrt(70) + -1*sqrt(70))))*5 + (sqrt(70) - 1*sqrt(70)*-1))\/(-3*sqrt(10)*4 + sqrt(10) + -4*sqrt(160)).\nAnswer: -4*sqrt(7)\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) = 21369*n + 42736. Calculate k(-2).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) = r**3 + r**2 - 2*r + 353. Let u(h) be the second derivative of -h**5\/20 + 5*h**4\/4 + 8*h**3\/3 + 4*h. Let y be u(16). Is a(y) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) = 34*u - 54. Calculate the least common multiple of i(3) and 96.\nAnswer: 96","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y**(-2\/21)\/(y\/y**(1\/5)))\/(y**(1\/7)*y**(-2)))**(1\/21) assuming y is positive.\nAnswer: y**(101\/2205)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4679?\nAnswer: 4679","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*v - 2*v - 3*w + 37, 5*v + 3*w = 70. Let h = v + 6. Is 17 a factor of h?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {h: 1, r: 6, q: 2, w: 3, n: 6, s: 2}. What is prob of sequence wn?\nAnswer: 9\/190","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-1)\/(-3)*(1 - -1)*12. Suppose -s*a + 181 + 155 = 0. Put 0, a, 5 in descending order.\nAnswer: a, 5, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -41*v + 151*v - 59*v - 29*v - 27*v.\nAnswer: -5*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.1 in 3, 2, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -8*b**3*k + b**3 - 296890*b**2 - b*k - b - 1129752*k - 178 with respect to k.\nAnswer: -8*b**3 - b - 1129752","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:09 AM and 10:04 PM?\nAnswer: 715","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) = 3*l**2 - 2*l**3 - 4*l + 2 + 6*l + 2*l**3 - 4*l**3. What is the units digit of y(-2)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*g - 26*g = 0 for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: -0.09 times 381\nAnswer: -34.29","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2 - 2*m + 2)*(-3*m - 28782 + 28795 + 14*m) to the form t*m + j*m**2 + k and give j.\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*p + 5*v + 11 = 0, -210 = p - v - 217 for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -2 - -13. Let n = 12 + -8. Let t(m) = 6*m - 3. Let o(k) = -17*k + 8. What is c*t(y) + n*o(y)?\nAnswer: -2*y - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 538129, 1075892, 1613655?\nAnswer: 2151418","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 392 = -174*o + 160*o for o.\nAnswer: -28","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 868393 to the power of 1\/4, to the nearest integer?\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 8452 + o**2 - 4229 - 4223.\nAnswer: o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 1284 + -123265\/96. Calculate the common denominator of 62\/21 and i.\nAnswer: 672","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g\/g**(-3)*g\/g**(1\/4))\/((g\/g**(2\/3)*g)\/g**(3\/2)))**30 assuming g is positive.\nAnswer: g**(295\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: (22\/88 - (-201)\/(-180)) + 1\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ssuuussssssusussuss. What is prob of picking 3 u?\nAnswer: 20\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 212563 is divided by 37.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 17554487 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 12 - (-5 + (-315)\/(-21)). Let 0 + 5\/3*l**4 - 7\/3*l**5 - 2\/3*l + 3*l**3 - 5\/3*l**t = 0. Calculate l.\nAnswer: -1, -2\/7, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 353 minutes after 10:45 PM?\nAnswer: 4:38 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*j - 15*l = 5, -j + 4*l = -1368 + 1359 for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: (-15)\/((-3150)\/258) + (-8)\/10\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 26*j = 48*j - 19*j - 69 for j.\nAnswer: 23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 9\/(-2)*(4 - 2). Let r be 57\/(-9) - (-6)\/(-9). Is r >= v?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 459603687 to the power of 1\/8, to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5443*h = 5405*h - 380 for h.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 47 (base 13) to base 8.\nAnswer: 73","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 58 + -39. Let j be (-111)\/4 - p\/76. Let f = 44 + j. What is the highest common factor of 8 and f?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*r = -g + 11 - 3, -8 = 2*g. Suppose r*y = -5*j + y + 657, 0 = -2*j - 4*y + 266. Is j a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 27 + -25. Suppose 8 = 4*k, k - 1 = -n*l + 15. Suppose 5*t - q = 510, -2*q + 102 = t - l*q. List the prime factors of t.\nAnswer: 2, 3, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 1 - (2\/5 + (-56)\/40). Suppose -b*g = 3*l + 401988, l + 0*l + 200996 = -g. Round g to the nearest 10000.\nAnswer: -200000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (403 - 403 + 574*j**2 + (4*j**2 - 2*j**2 - 3*j**2)*(-6 + 3 + 2))*(j**2 - 1 + 1).\nAnswer: 575*j**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is -68 >= -59?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) = -6*g + 37. Let i be o(-12). Suppose -a = -2*a - i. Let n = 112 + a. Solve -2*l - 25 = n*l for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) = -3*p**3 - 2*p**2. Let o(a) = a**3 + a**2. Let y = -12 + 11. What is y*j(s) - 2*o(s)?\nAnswer: s**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -1\/13, -2, 2\/7, 4\/3?\nAnswer: -1\/13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -96204, -194857, -293510?\n\"Answer: -98653*r + 2449","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) = -w**2 - w - 5. Let q be c(4). Let d(o) = o**2 - 13*o - 38. Let n be d(14). Is n at least as big as q?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) be the third derivative of 19*j**4\/6 - 205*j**3\/6 - 4*j**2 - 5. Differentiate g(f) wrt f.\nAnswer: 76","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -261 (base 7) in base 4?\nAnswer: -2031","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put 13, -2, -5, -4, -6 in ascending order.\nAnswer: -6, -5, -4, -2, 13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -454573 times -4?\nAnswer: 1818292","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1452 is divided by 543.\nAnswer: 366","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0000001579383 to 7 dps.\nAnswer: -0.0000002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 3*g*l**4 + 2*g*l - 95*l**4 + 3*l**2 - 3 wrt l.\nAnswer: 72*g*l - 2280*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {e: 12, j: 6, b: 1}. What is prob of picking 3 j and 1 b?\nAnswer: 5\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 5 a factor of 18447?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/5 of a tonne in kilograms?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 j and 1 a when two letters picked without replacement from aiaaaaaaajaaajjjj.\nAnswer: 55\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Does 14 divide 194196408?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -212 + 353. Suppose 5*w - 6*w + s = 0. What are the prime factors of w?\nAnswer: 3, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1363797889 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -9 + 6 - -3 - 5.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) = -l. Let k(w) = -w**2 + 11*w - 5. Let v be k(10). Let y(p) = -2*p**2 - p**2 + 0*p**2 + v*p**2. What is y(u(j))?\nAnswer: 2*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*z - 1 = l + 3, -12 = -2*l - z. Solve -6*c + 12 = -l*v - 3*c, -v = 3*c - 12 for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) = -5*f + 1. Let o be j(2). Let n = o + 9. Is -6\/11 equal to n?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 4 + 3. Suppose -10 = 3*i + 2*l, -3*l + w*l - 34 = 3*i. Let b = -1 - i. List the prime factors of b.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many milliseconds are there in 5\/4 of a minute?\nAnswer: 75000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 3227?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 19\/35 and 16\/119.\nAnswer: 595","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 753504*o**4*w - 6*o**2*w**2 - 2783*o*w**2 + 2*o*w + 3551*w wrt o.\nAnswer: 9042048*o**2*w - 12*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*n - b - 30 = 0, -b = 111*n - 112*n for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -3? (a) 0.4 (b) 33 (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1499*w + 27765 = -1490*w. Does 37 divide w?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 2162 to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 18945 at most as big as 18980?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -92 - 6*i + 9*i + 292 to a*i + p and give p.\nAnswer: 200","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 35016 and 18?\nAnswer: 105048","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 2944679927 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) = 8 - 3 + 3*n + 10*n - 2*n. Let l be w(4). Suppose 5*r + p - 70 = 0, -3*r - p + l = 5. Is 13 a factor of r?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -110600 rounded to the nearest 10000?\nAnswer: -110000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) = -2*n**3 + 92*n**2 - 89*n - 43. Let a be f(45). Solve a*r - 6 = -62*q + 58*q, 16 = 4*q + 4*r for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) = t - 11. Let v be -2 - (14\/8 - 1)\/((-4)\/32). Let y(h) = -11. Give v*y(a) - 3*j(a).\nAnswer: -3*a - 11","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let h be ((-363)\/22)\/((-639)\/318 - -2). Suppose -4*l = -h - 775. Is l prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0 - 2. Let m be (-10)\/(-35) - (y - -2). Factor m*v**3 + 0 + 0*v**2 + 0*v.\nAnswer: 2*v**3\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 63\/2*24\/(-18). Let r(z) = z**3 - z**2 - 3*z - 40. Let s be r(0). Let f = s - a. Solve 6*h + 9 = -5*t + f*h, 0 = -h + 4 for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -5*r**3 - 2935573*r**2 - 22705261.\nAnswer: -15*r**2 - 5871146*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*z + 0*z = -144. Let w = 25 - 23. Suppose -w*l = l - z. Is l a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 32201790 at least 32201773?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*y + 0*y = 6*y. Is 2\/4 + (13416\/16 - y) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -692\/19 - -9257\/190. Let f(i) = 490*i + 10. Let o be f(-7). Let y = o - -13747\/4. Calculate the common denominator of p and y.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 6\/(-12)*(-1 - 3). Suppose 0*z = c*p - 3*z - 4, 5*p - z = 10. List the prime factors of 4\/(-10) + ((-1908)\/(-10))\/p.\nAnswer: 5, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -13 - (6 - 10 - -2 - 5).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*g**3 + 0*g**3 + 4*g**3 + (-1 + 1 - g**2)*(-10*g - 6*g - 22*g).\nAnswer: 40*g**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -3\/7, -3, -3.5, 2.4931?\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 400 minutes after 7:10 PM?\nAnswer: 1:50 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 269\/(-28) + 15\/(-105). Let s = -81\/7 - t. Calculate the common denominator of -121\/24 and s.\nAnswer: 168","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) = 9*a**2 - 2*a + 1. Let f be z(2). Let y = -34 + f. What is the tens digit of 212 + -5 - y*(-2)\/(-2)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 v and 2 z when four letters picked without replacement from vvzzzvzvvvvvvvzvvvv?\nAnswer: 455\/1938","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -142570 - 86512 = 16363*r for r.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2 = -4*g - r - 1, -g - r = 2 for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 1432848 to the power of 1\/3, to the nearest integer?\nAnswer: 113","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) = l**3 - 4*l**2 + 3*l - 6. Suppose 9*b - 4*b = 30. Suppose -4*w + b*w - 26 = 0. Let p = -9 + w. Determine z(p).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 12837 and 165.\nAnswer: 64185","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -0.311 + 0.121. Which is bigger: -0.6 or w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) = -6358468*s. Let p(v) = v. Give p(b(x)).\nAnswer: -6358468*x","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) = 54*h + 18. Let n be m(6). Let i = -198 + n. Is i a multiple of 18?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 74643?\nAnswer: 3, 139, 179","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 36, 57, 84, 117, 156, 201, 252?\nAnswer: 309","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -4 or -279233?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify m\/((m**(-5\/11)\/m)\/m)*m\/(m*m**26*m)*(m*m**(-13)*m)\/(m\/((m\/(m\/(m*m*(m**(-13)*m)\/m)))\/m)) assuming m is positive.\nAnswer: m**(-523\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 753306? (a) -5 (b) 5 (c) -3 (d) 0.5 (e) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) = -2*v**3 - 3*v**2 + 3*v + 16. Calculate the remainder when t(-7) is divided by 8.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 30 and 18?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 18*q - 15*q - 15 = 0 for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is (-258)\/200079*66*-1?\nAnswer: 4\/47","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1 + (-4)\/16)*(40\/15 - 4)?\nAnswer: 5\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 1281919*d**3 - 5*d**2 - 491618 wrt d?\nAnswer: 7691514","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -49*d = -39*d - 540. Solve -d*i + 59*i = 15 for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1586571?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.07 and -20.2.\nAnswer: -1.414","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is thirty-three fifths of a minute in seconds?\nAnswer: 396","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 v when four letters picked without replacement from {x: 2, v: 16}.\nAnswer: 91\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1032 and 817?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 996516 to the power of 1\/2, to the nearest integer?\nAnswer: 998","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*x - 0*p - 5*p - 59, 3*p = 15. Suppose 9*j - 684 = 6*j. What is the remainder when j is divided by x?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 38*u - 4*g = 133*u + 69, -3*u - 79 = 2*g for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) = -3*g + 9*g + g - 3 - 8*g. Let z be b(-7). Solve 2*h + 3*c - z*c = 1, 5*h - 5*c = 5 for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -106, -107, -106, -103?\n\"Answer: d**2 - 4*d - 103","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 2 + 18d?\nAnswer: 18f","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 5*(-6)\/12*(-4)\/25?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -37*-0.06\nAnswer: 2.22","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) = 32*m**2 + 2*m - 2. Let r be x(1). Let b = r + -27. Let -b*l + l + 4*l + l - l**2 = 0. Calculate l.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 215 divide 4965425?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) be the first derivative of -k**4\/12 + 2*k**3\/3 + 31*k**2\/2 - 12. Let g(b) be the second derivative of x(b). Determine g(-4).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*c - 40 + 106 = -s, c + 5*s - 8 = 0. Suppose -2*v + 4*w + c + 21 = 0, -3*v = 4*w - 61. What are the prime factors of -1 + v + -1*2?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((15\/12)\/(-5))\/(-25*16\/(-600)).\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 982 is divided by 234.\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) = 3*p**3 + 2*p**2 + 2*p - 2. Let g(h) = -h**2 - h. Let k = -123 + 121. Calculate k*g(w) - j(w).\nAnswer: -3*w**3 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) be the first derivative of -f**2\/2 - 2*f - 1. Let q be h(-4). Suppose q*r = -2*r. Solve r = -i - 2*i - 9 for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k**(-3)\/k)\/k**(2\/17)*(k*k**(7\/9))\/k*k**(3\/16))**(-12) assuming k is positive.\nAnswer: k**(7717\/204)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.2 in -5, -1\/19, 1\/8, 0.026, -2\/3?\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 2 - 1 - -111 - 1. Let q(m) = 1884*m + 9528. Let g be q(-5). Is g at most as big as o?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) = -r**4 + r**2 - r + 1. Let l(u) = -10*u**5 + u**4 + 10*u**2 + u - 1. Let f(a) = l(a) + x(a). Find the third derivative of f(b) wrt b.\nAnswer: -600*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -1\/3, 0, -35.7?\nAnswer: -35.7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 6778587?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -5 + 3. Let v = 11 + t. Let h = v + -9. Which is smaller: -1\/3 or h?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 45 divided by 13.\nAnswer: 45\/13","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 5 + -1. Suppose 96*c + 18*c = 342. Put y, c, 1 in increasing order.\nAnswer: 1, c, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 252 + -147. Calculate the greatest common factor of h and 21.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -r + 5*r + 3*d - 25 = 0, -2*r - 7 = -5*d for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 79, -1\/6, 0.54, -0.3, 1, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.1 in -2\/13, 78\/5, -6\/5, 0.1?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -b2 (base 13) to base 12\nAnswer: -101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 6\/(-30) - (-66)\/5. Suppose -18 = 6*c - 4*c. Let z = j + c. Solve z = -3*w + w for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose l**4\/6 + 361*l**3\/6 + 14637*l**2\/2 + 1855091*l\/6 + 3370318\/3 = 0. What is l?\nAnswer: -119, -4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) = a**3 + 7*a**2 + 3*a + 2. Calculate t(-4).\nAnswer: 38","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.1475034 micrograms in grams?\nAnswer: 0.0000001475034","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 202122200 - -100020000?\nAnswer: 1002212200","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 6.4 - -0.6. Which is the closest to -1? (a) 2\/9 (b) -2\/13 (c) i\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -11 = 43*c - 41*c - 15*f - 8*f, 0 = 5*c - 4*f - 133 for c.\nAnswer: 29","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -113*h + 37*h + 27*h + 210 = -7*h for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 8070276007 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -6*n**4 - 39*n**3 + 43*n**4 + 45*n**3 - 42 + 9 with respect to n.\nAnswer: 148*n**3 + 18*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 593*h**2*w**3 + 423938*h**2*w + 33*w**3 + 904110*w**2 wrt h?\nAnswer: 1186*h*w**3 + 847876*h*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -27*j**2*t**3*z**3 + j**2*t**3*z**2 + 232*j*t**3*z**3 - j*z**2 + 2*t**3*z**3 wrt j?\nAnswer: -54*t**3*z**3 + 2*t**3*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 230897 and 23.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-19)\/(-2) + (-6)\/12. Let y be 3\/h - (-15)\/(-9). Let u = -601 - -597. Put y, 3, u, -3\/5 in increasing order.\nAnswer: u, y, -3\/5, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -10238 - 18*i**2 + 20977 - 10736.\nAnswer: -18*i**2 + 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sort -12, 2, 4, -2, 10.\nAnswer: -12, -2, 2, 4, 10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -1455202 plus -4?\nAnswer: -1455206","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) = -y**2 + 13*y + 92. Let d be p(17). Put 30, d, 4 in decreasing order.\nAnswer: 30, d, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, 43, -18.\nAnswer: -18, 5, 43","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) = 8*d + 4*d - 83 + 88. Let h(b) = 11*b + 4. What is -5*h(v) + 4*m(v)?\nAnswer: -7*v","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -1034*f - 897*f + 236*f - 1128 with respect to f.\nAnswer: -1695","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 5 - -49?\nAnswer: 53","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) = 99700*n. Let y(p) = -1271*p**2. Determine j(y(c)).\nAnswer: -126718700*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 13460191 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 490429286 smaller than 490429288?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let -578*m**4\/13 + 229228*m**3\/13 - 32896274*m**2\/13 + 2016451296*m\/13 - 44726815872\/13 = 0. Calculate m.\nAnswer: 67, 2232\/17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 3106 - 3091. What is the remainder when 1675 is divided by q?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 27 (base 10) in base 3?\nAnswer: 1000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 1 - 10101?\nAnswer: -10100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) = -10*v**2 + 32. Let f(k) = 5*k**2 - 17. Let w(r) = -3*a(r) - 5*f(r). Let d(z) = z**2. Determine d(w(m)).\nAnswer: 25*m**4 - 110*m**2 + 121","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) = -g**2 + 525*g - 3130. Let s be d(6). Let q be 2 + (-36 - 0 - 2). Let i = s - q. Is 7 a factor of i?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 at most as big as -2255\/6106?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*t + 6 = 4*h, 4*h - 10 = 3*t - 2*t for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 79567 is divided by 26522?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -9 + (2 - -3) + -2 + 104 + -109?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*r + 5*k + 10 = -27, 0 = 4*r + k - 80. Let o = r + -17. What is the smallest common multiple of o and 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {f: 5, n: 9}. What is prob of picking 3 n?\nAnswer: 3\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let d be -5*((-12)\/(-20) + -1). Let o be -6*(-1 - (d - 0)). Suppose -4*x + m = -m - 72, -x + o = m. Is 18 a factor of x?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) = -18*v**2 - 1536*v - 3451. Calculate c(-83).\nAnswer: 35","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 70 is divided by 59.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 2741080?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/3 in 7, -2017, -0.5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -7109, -7112, -7117, -7124, -7133?\n\"Answer: -i**2 - 7108","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 11777, 23532, 35287, 47042?\nAnswer: 58797","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -50 - -64. Let g be (-108)\/(c\/44 - 1\/2). Suppose -3*u = i - 203, -4*i + i + g = 4*u. List the prime factors of i.\nAnswer: 2, 97","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*((sqrt(300)*-2 + -5 - (sqrt(300) + sqrt(300) + 2*sqrt(300) + -4 - sqrt(300))) + -5))**2.\nAnswer: 5400*sqrt(3) + 67824","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 5 - 10. Let z = -0.26346 - 0.13654. Which is the nearest to 2? (a) -3\/4 (b) z (c) m\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*q - 92 = -168 + 112 for q.\nAnswer: -18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Put -8, -1, -4 in decreasing order.\nAnswer: -1, -4, -8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) = m**3 + 14*m**2 + 12*m - 13. What is l(-13)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1454*-2777.\nAnswer: 4037758","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 162820795, 162820796, 162820797?\nAnswer: 162820798","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 281053 = 3*c + 350*w - 348*w, 4*w = -3*c + 281057. Is c a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) = -3*q**2 - 33*q + 4. Let m(u) = 5*u**2 + 34*u - 5. Give 4*b(v) + 3*m(v).\nAnswer: 3*v**2 - 30*v + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (12\/20*5)\/((-6)\/(-8))?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 781 to the power of 1\/3, to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -186142, -371240, -554216, -734008, -909554, -1079792, -1243660, -1400096?\nAnswer: -1548038","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 7 - 15. Let p be -1*(0 + j\/28). Factor 0 - 8\/7*r - 8\/7*r**2 - p*r**3.\nAnswer: -2*r*(r + 2)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from orokuqrokkqroqkr. Give prob of picking 1 r and 1 u.\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 29 + -25. Suppose 2*d = g + 182. Suppose -2*h + y = 4*y - d, 2*h = -4*y + 88. What is the least common multiple of h and 4?\nAnswer: 108","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 9978.\nAnswer: 2, 3, 1663","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 7066 is divided by 31?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.0054 + 29.\nAnswer: 29.0054","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 1595, 6581, 14893, 26531, 41495, 59785?\n\"Answer: 1663*j**2 - 3*j - 65","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -1 + -2b564?\nAnswer: -2b565","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 1 - v)*(0*v - 2*v + 3*v) + v**2 - 3*v**2 + 4*v**2 + 0 - 2*v**2 + 0 + (-2*v - 4*v + 4*v)*(3*v - v - v).\nAnswer: -3*v**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, -1, 0, 816 in decreasing order.\nAnswer: 816, 5, 0, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 344734?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 39 - -25. Suppose -4*o + s = -12*o. Is 14 a factor of ((-4)\/(-10))\/(-9*o\/2520)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0558896 litres in millilitres?\nAnswer: 55.8896","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) = 8*a**2. Let s(u) = 2823*u - 2*u**2 - 939*u - 944*u - 940*u - 23. Calculate z(s(h)).\nAnswer: 32*h**4 + 736*h**2 + 4232","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 85 is divided by 45.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + (sqrt(252) + -1 + -2)**2 + sqrt(252) + -6*(sqrt(252) + 1).\nAnswer: -66*sqrt(7) + 254","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 20? (a) -12 (b) 6 (c) -0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (24 + (-4)\/(-2))*4. Suppose f + 4*v + 24 = 0, 5*f + 6*v + 204 = 7*v. Let c = f + b. What is the tens digit of c?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 2 + 40233?\nAnswer: 40240","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -33 and -16.43?\nAnswer: 16.57","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose o + 37 = i, -2*o = i - 2*i + 37. Let h = 53 - i. What is the highest common factor of 24 and h?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20 = 6*c - 10. Suppose 5*z - 4*s - 8 = 0, 3*s - 7*s - 8 = 4*z. Solve c*y - 5 = -z*y for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in 2\/5, 0.97, -2, 2, 4\/7?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) = k**3 + 48*k**2 - 5*k + 39. Determine b(-48).\nAnswer: 279","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 4537452 to the power of 1\/4, to the nearest integer?\nAnswer: 46","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 9117256 or 9117278?\nAnswer: 9117278","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) = 3*d**3 + d**2 + d - 1. Let g be o(1). What is the third derivative of -5*i**2 + 3*i**2 - i**2 + g*i**3 - 2*i**3 wrt i?\nAnswer: 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 4870.3 to the nearest one hundred.\nAnswer: 4900","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1440583800*g + 2881167626*g - 1440583835*g.\nAnswer: -9*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2188*h = 874*h - 816*h - 38340 for h.\nAnswer: -18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 2\/8 + (-18186)\/(-56). Let u = w - 285. Is 20 a factor of u?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*d**2\/3 - 476*d\/3 + 478\/3.\nAnswer: -2*(d - 1)*(d + 239)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand 4*o**2 - 2*o**2 + 0*o**2 + 2*o - o**2 - 2*o + (3*o - 4*o - o)*(-4*o + 2*o + o) - o + o - 2*o**2 + (-3*o + o + 0*o)*(5*o - 3*o - o).\nAnswer: -o**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*g - 15 = 19. Suppose l + 4*i = -g, -5*l = 5*i + 2 + 8. Suppose -3*v + 82 = 2*p, 6*v - 80 = 3*v - 4*p. Solve -l = -5*b - v for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*u - 2*u - 2*u)*(5*u**2 - u + u) + u**3 - 2 + 2.\nAnswer: -9*u**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify k**(3\/4)*k*(k\/(k\/(k\/(k**(1\/6)\/k)))*k)\/k*k\/(k**(-1)\/k)*k**(-2\/23)*(k\/k**(1\/12)*k**(-1\/7)\/k)**(-15\/7) assuming k is positive.\nAnswer: k**(23603\/3381)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 322 minutes after 2:48 PM?\nAnswer: 8:10 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -17\/4 in 1\/3496, -3\/77, -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 4.8 - -1.2. Let d = -5.9999912 + t. Round d to 6 decimal places.\nAnswer: 0.000009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -1\/3 <= 1640.395?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*c - j = 2*j, 2*j + 4 = 0. Suppose 0 = r - 2*h - 3*h - 31, -3*r - 3*h = -c. Solve 5*x + r = -4 for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -454344 + 4304?\nAnswer: -450040","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*h**3 + 2*h**3 + 10*h**3)*(0 - 2 + 4).\nAnswer: 28*h**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 0.06*-1.08\nAnswer: -0.0648","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1d4bb2 (base 14) to base 7.\nAnswer: 11633512","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) = i**2 - 4*i + 12. Let r be o(9). Let a = r + -16. Let j(b) = -5*b - 6. What is the remainder when a is divided by j(-4)?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) = -q**2 + 3*q + 3. Let b be t(3). What is the derivative of b + 14 - 6*l**2 + 7*l**2 + l**2 wrt l?\nAnswer: 4*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 7\/8 of a centimeter?\nAnswer: 8750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -8447.61867 rounded to the nearest 100?\nAnswer: -8400","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from eebebbbbebpbbbebeeb. Give prob of sequence bebb.\nAnswer: 385\/5168","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -p + 2*p. Suppose p*i - i = 132. Let w = i - -259. Is w prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-28768)\/17980)\/(8\/210)\nAnswer: -42","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3 + -9 - 31 - (104 + -78).\nAnswer: -63","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.376032 to 2 dps.\nAnswer: -0.38","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 1*(1 - 0) - -1. What is the third derivative of 0 + d*r**2 + r**4 + 0 - 4*r**4 wrt r?\nAnswer: -72*r","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) = -p**3 - 251*p**2 - 7009*p - 234. Calculate g(-219).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 14, -0.2, 4\/5, -3?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -234.0221 - -234. What is o rounded to 3 dps?\nAnswer: -0.022","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2 divided by -54\nAnswer: 1\/27","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (4 + -2 - -2) + -6.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is ((1528912\/23205)\/(-292))\/((-4)\/30)?\nAnswer: 22\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*a - 7*a = -20. Suppose 2*l + 10 = 0, -z = -4*z - 5*l + a. Calculate the common denominator of (-5)\/(-2)*(z - 2) and -59\/8.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k\/k**(-2\/9))**(-33))**(-1)*(k**(-4)\/k**(-7))**(-49) assuming k is positive.\nAnswer: k**(-320\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 31243 is divided by 15602?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let -4*j**2 - 36653328*j - 83966653342224 = 0. Calculate j.\nAnswer: -4581666","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 195 + -99. Suppose w - i = -w. Suppose -w = -0*p - 4*p. What are the prime factors of p?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-96)\/3864*(-21)\/6.\nAnswer: 2\/23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in three eighths of a litre?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 24940338 and 167079.\nAnswer: 274343718","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 66903 + -101932. Let f = p - 32971. What is f rounded to the nearest 10000?\nAnswer: -70000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find d such that -4*d**2 + 644*d - 1272 = 0.\nAnswer: 2, 159","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 67 minutes after 2:50 PM?\nAnswer: 3:57 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) = 8*m**3 - 3*m**2 + 999*m - 7. Let p(a) = 6*a**3 - 2*a**2 + 1000*a - 4. Calculate 2*j(q) - 3*p(q).\nAnswer: -2*q**3 - 1002*q - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -1601352 + 16?\nAnswer: -1601339","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 68 + -61. Let r = 7 - 11. What is the third biggest value in -3, -2, r, b?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*(-3 + sqrt(110)\/(sqrt(20)\/(-2*sqrt(2)))) - (2*-2*sqrt(11) + sqrt(11) + 1*sqrt(176) + 5).\nAnswer: -13*sqrt(11) - 23","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) = -9*o - 1. Suppose 6*d = 2*d + 12, -y = -4*d + 11. Suppose -y - 1 = -c. What is the lowest common multiple of k(-1) and c?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 12199*i*z - 23565*z wrt i.\nAnswer: 12199*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) be the first derivative of 14*j + 5 - 1\/2*j**3 + 0*j**2. Let o(y) be the first derivative of x(y). Let z(p) = -3*p. Determine z(o(u)).\nAnswer: 9*u","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 62612?\nAnswer: 2, 11, 1423","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0.232156 - 0.231. Round j to four dps.\nAnswer: 0.0012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) be the first derivative of -89*u**7\/7 - 3*u**4\/4 - 2*u**3 - 493. Find the third derivative of d(v) wrt v.\nAnswer: -10680*v**3 - 18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -2103, -2554, -3305, -4356, -5707?\n\"Answer: -150*l**2 - l - 1952","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 i and 1 q when two letters picked without replacement from {o: 2, q: 1, b: 4, i: 4}?\nAnswer: 4\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*l + 19 = -5. Suppose l*y = 150 + 117. Suppose 0 = -2*m + y - 21. What is the units digit of m?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -12 - -21. Let p(d) = -d**3 + 10*d**2 - 8*d - 5. Let v be p(j). Suppose 13 = v*a - 119. Is a composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -42445.916122 - -42446. Round d to two dps.\nAnswer: 0.08","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1 divided by 4903\nAnswer: 1\/4903","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 1936256 a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) = -11*g - 98. Let n be d(-9). Solve n = 2*b - 1 for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*n + 1108 = 8*p + 1139, -3*n - 8*p + 83 = -3*p for n.\nAnswer: 21","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 2073 + -2073. Put s, 0.9, -4\/21 in decreasing order.\nAnswer: 0.9, s, -4\/21","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 18017.8 rounded to the nearest one thousand?\nAnswer: 18000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1 - 1 - (-2 - (15 - 14))?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 149 divide 974162?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 5 + -8. Let p = 12983\/4 - 3306. Let j = -59 - p. Which is the third smallest value? (a) -5 (b) m (c) j\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -155 divided by -5?\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand -4*b + 3*b - 2*b + (3 - 3 - 4)*(-4*b + 2*b + 0*b) - 2*b - 2*b + 3*b.\nAnswer: 4*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: -1856212*1\nAnswer: -1856212","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -59 - -135. Suppose -5*u + 2*v + 438 = -w, 0 = -u + 2*v + 98. Calculate the highest common factor of u and 26.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 38 a factor of 129522?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is (-8 - (-3 + 12)) + 28 - -2?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 6*s - 5 - 115. Calculate the highest common factor of 30 and s.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 6 - 5.9. Suppose -9*g + 13*g + 8 = 0. Let i be g\/(-4) - 81\/234. Which is smaller: f or i?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) = -h - 3. Let k be u(-2). Let r = 137\/8 + -17. Which is the closest to 2\/7? (a) -5 (b) r (c) k\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 10042\/(-60) - (-2)\/(-6). Let c be (-6)\/3 - (169 + -3). Let o = q - c. Find the common denominator of o and -1\/5.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -15*w + 18 = 3 for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sort -536, -3, -1, 5, 36 in decreasing order.\nAnswer: 36, 5, -1, -3, -536","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -0.2472 - 13.3228. Let v = -1.63 + l. What is v rounded to the nearest integer?\nAnswer: -15","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) = -10*i - 2. What is s(-2)?\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 1313 (base 8) in base 7?\nAnswer: 2041","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*(sqrt(228) + -6*1*sqrt(228) - sqrt(228) - sqrt(228) - (-2*1*sqrt(228) + sqrt(228))))\/(sqrt(36)\/(sqrt(3)*1) - -1*sqrt(768))*-5.\nAnswer: 10*sqrt(19)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Put 14494, 3, -174, 2\/9 in ascending order.\nAnswer: -174, 2\/9, 3, 14494","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 24.10951 decades in millennia?\nAnswer: 0.2410951","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 149\/39492 and 127\/12?\nAnswer: 39492","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 3174.5 + -6?\nAnswer: 3168.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 534216?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is (-58 + -7)\/13 - (0 - 6)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -10*r + 12 + 18. Let b(q) = -q**3 - q**2 - q - 1. Let z(x) = -3*x**3. Let o(l) = 2*b(l) - z(l). Determine o(r).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 58 and 20.\nAnswer: 580","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((m\/(m\/(m**(-1\/5)\/m)))\/m*m\/m**(8\/3))\/(m**(4\/5)*(m**(-1\/3)\/m*m)\/m*m))**(-45) assuming m is positive.\nAnswer: m**195","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 0.3 (b) -1 (c) 73\/240 (d) 214 (e) -0.02\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*y**4 + 737586*y**3 + 45335354691*y**2 - 90672922152*y + 45336829872 = 0.\nAnswer: -122932, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Round -1427449.096 to the nearest ten thousand.\nAnswer: -1430000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (19\/((-1064)\/(-140)))\/((-30386401)\/(-15193200) + -2). Round o to the nearest one million.\nAnswer: 38000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 g when two letters picked without replacement from cgggcicc?\nAnswer: 3\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4747*v**3 - 5202*v**3 + 3*v - 3*v.\nAnswer: -455*v**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) = 16*h - 2*h - 2*h. Let n be j(4). Suppose p = 5*p - n. Solve -2 = -2*b - p for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 342801 is divided by 109.\nAnswer: 105","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 846818100?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 n when four letters picked without replacement from nnkkknknkk?\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*o + 4*o = -21. Is o prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 = -p + 3. Suppose 2*l - 12 = -4*w, -l + 2*w + 2*w = 0. Let n = p - l. Which is the nearest to -1? (a) -0.3 (b) n (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-14 - 10*r + 14 + r - r + 2*r + (0 - 2 + 1)*(-1 - r + 1) + r - 3 + 3 - 3*r - r + 3*r)*(93 - 108 + 173) in the form v*r + l and give v.\nAnswer: -1106","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ffff when four letters picked without replacement from {f: 4}.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*u = 7 + 1. Let d be ((-130)\/156)\/(-2 - (-22)\/12). Which is the nearest to 0? (a) u (b) -1\/7 (c) d\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 265347 is divided by 468.\nAnswer: 459","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, -5, -4, 37 in descending order.\nAnswer: 37, -2, -4, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*f - 154 = -170 for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) = 34 + d**2 - 12 + 8*d - 15. What are the prime factors of i(-8)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 9 (base 14) to base 10\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14*s + 3970 = 19*s. What is the hundreds digit of s?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) = b**3 - b**2 + 2*b - 1. Let d be k(-3). Let q be (-642)\/(-8) + 1\/(-4). Let l = d + q. Is l composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) = 52*u**2 + 4951*u + 193. Give a(-95).\nAnswer: -852","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) = j**3 - 5*j**2 + 3. Let z(r) = -3*r**2 + 3*r + 45. Let d be z(-7). Let m = -117 - d. Determine u(m).\nAnswer: 39","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*(-4*sqrt(216)*-2)\/(-1*sqrt(192)*2))**2.\nAnswer: 72","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) = -6*j**2 + 14 - 2*j + 2*j + j**3 - 2*j. Let r be x(6). Find the common denominator of (261\/54)\/(r\/6) and 149\/6.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) = l**3 + 9*l**2 - 2*l + 1. What is the tens digit of c(-3)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 29067 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s*s**(-8)\/s)**(2\/5)*(s\/(s**(-10\/11)\/s))\/s*s\/(s\/(s\/(s*s**(-2)*s))*s) assuming s is positive.\nAnswer: s**(-71\/55)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 4928 and 176?\nAnswer: 176","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Express 0*w + w - 2*w**3 + 922*w**2 - 923*w**2 - 8 - 3*w**4 in the form z*w + j*w**3 + k*w**2 + d*w**4 + r and give z.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 456 minutes before 9:50 AM?\nAnswer: 2:14 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -5 - -3?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Express -16*p**3 - 2*p**4 + 2*p**3 + p**4 + (-5*p + 5*p - p)*(-4*p**3 - 4*p**2 + 4*p**2) in the form q*p**3 + r*p**2 + i*p**4 + z + g*p and give q.\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Factor y**3 - 29661*y**2 + 220017864*y - 1099347920.\nAnswer: (y - 14828)**2*(y - 5)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*q + i + 10, 5*q + 4*i = 20 + 3. Suppose 47 = q*r - 259. Suppose 0*h = -2*p - 4*h + r, -2*h - 194 = -4*p. Is p prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1426?\nAnswer: 2, 23, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) = 948*h**2 + 129*h + 292. What is the ten thousands digit of o(-6)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*z - 139 = 3*u, -5*z - 8 = u + 5. Let p = -42 - u. List the prime factors of 1 + (3 - 128\/p).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) = 65*q**2 - 19*q + 5. Is w(-6) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -926 to the nearest 10.\nAnswer: -930","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 50, 52, 64, 92, 142?\n\"Answer: q**3 - q**2 - 2*q + 52","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -2542, -2545, -2548, -2551, -2554?\n\"Answer: -3*c - 2539","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 5604 and 15.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-40)\/(-15) - ((-24)\/(-9))\/4. Suppose t*z - c = -0*c + 45, 120 = 5*z - c. Solve 0 = 4*l + l - z for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from vrvprszrrr. What is prob of picking 1 r, 1 p, and 2 v?\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -29.5 * 2\nAnswer: -59","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -68 = -i - 68 for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) = -3*f - 3. Let t be p(-2). Let r(a) = -2*a**3 + 4*a**2 + a - 1. Let i be r(t). Let d = i - -18. Solve -3*j = -d*j for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -9896, -13330, -16764?\nAnswer: -20198","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*z**3 - 66*z**2 + 60*z + 128.\nAnswer: 2*(z - 32)*(z - 2)*(z + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -m**4 - 1758505*m**3 - 2*m**2 - 275*m - 34840 wrt m?\nAnswer: -12*m**2 - 10551030*m - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 52 a factor of 2184?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 23 divided by -392?\nAnswer: -23\/392","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Work out -406.2 * 0.1.\nAnswer: -40.62","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -0.2, -13114638, 21?\nAnswer: -13114638","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -21950000 rounded to the nearest one hundred thousand?\nAnswer: -22000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Convert 38.43406 litres to millilitres.\nAnswer: 38434.06","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 170 minutes before 3:52 PM?\nAnswer: 1:02 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -185 + 174 - (-1 + 0).\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -2*l**2*n**3*s**2 - 964*l**2*n*s**3 - 98*l**2*n*s**2 - 24*l**2*n - 2*l**2*s**2 - 2*l*n**2*s**2 - 89*n**3*s**3 wrt s.\nAnswer: -5784*l**2*n - 534*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -2a - -10?\nAnswer: -1a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*(sqrt(44) + sqrt(11))*6.\nAnswer: 108*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (4\/(-6))\/(3\/((-63)\/(-35))). Let v be (-2)\/(-10)*(-40)\/16. Which is the nearest to v? (a) s (b) 2 (c) 0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 8 - 7.4. Let r = 120 - 115. Let u = 8 - 8.3. What is the third biggest value in r, u, x?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1130 is divided by 39?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -38*q - 110*q + 114 + 478 for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) = -v**3 + 6*v**2 - v - 8. Let d be f(6). Let l = d - -13. What are the prime factors of (((-148)\/2)\/2)\/l?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) = 64*b**2 - 37*b**2 - 28*b**2. Let l(u) = -10*u. Let s(w) = 2*w. Let t(f) = -2*l(f) - 6*s(f). Determine y(t(h)).\nAnswer: -64*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 20223, 40450, 60691, 80946, 101215, 121498, 141795?\n\"Answer: 7*d**2 + 20206*d + 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*q - u + 240 = 0, q - 77 + 8 = 2*u. Suppose -k + q = -73. Is k a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -13, -5, -3, -8, -10, 0, 5.\nAnswer: -13, -10, -8, -5, -3, 0, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*d**3 - 77725*d**2 - 311040*d + 932940 = 0 for d.\nAnswer: -6, 2, 15549","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) = i - 2. Let b(w) = 4*w - 9. Let j(r) = -4*b(r) + 18*n(r). Suppose 5*d = 3*v, -2*d - 5*v = -6*d - 13. Let h(m) = -d*m + 3*m - m**2 + 0*m. Give h(j(a)).\nAnswer: -4*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-4620)\/(-880))\/((-6)\/8).\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*p + 35 + 1425 = -3*f, -f - 3*p = 484. Find the common denominator of 44\/7 and -3 + 3 + 170\/f.\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 5 (b) 4\/6113 (c) -11\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (6076\/(-35))\/(-7) + 8\/(-10). Suppose k = -3*x + 9*x. What is the smallest common multiple of 18 and x?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0 + 3. Let u = y - 3. Let r = -0.5 + 1. Which is the smallest value? (a) r (b) 2\/7 (c) u\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 186 minutes before 9:17 AM?\nAnswer: 6:11 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 56 = -4*d + 4*o, 2*d - 32 = 4*d + 2*o. Let r = 11 + d. Is (21602\/(-35))\/(r\/10) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -551 = -44*t + 25*t. Let g be (35 - t)\/(456\/15 + 0). Which is greater: -1 or g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) = -15*j**2 - 7*j - 7. Let f(x) be the third derivative of -2*x**5\/15 - x**4\/6 - 2*x**3\/3 + 10*x**2. Determine 7*f(b) - 4*p(b).\nAnswer: 4*b**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 52 + 8851*d - 8851*d - 24*d**3 wrt d?\nAnswer: -72*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are 252 and 255 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (18*d - 6*d + 23*d + 9*d)*((2*d**2 - 2*d**2 - d**2)*(5 + 0 - 2) + (d + 0*d + d)*(-3*d + 0*d + 4*d) + d - d - 5*d**2).\nAnswer: -264*d**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(88)\/sqrt(8)*-3 - sqrt(22)\/(sqrt(2)*-1))**2 + -4.\nAnswer: 40","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) = x**3 - 7*x**2 - 13. Let u be h(9). Suppose -q + 5*c = -9 - 74, -3*q + u = 5*c. List the prime factors of q.\nAnswer: 2, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*b = 5*b + 5*b + 109 - 9 for b.\nAnswer: -25","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) = c**2 - 3. Let s = 1 - -3. Suppose -t + y = 2 - 1, 5*t + s*y = 4. Suppose t = -k - 4*x + 3, -15 = -5*k + 5*x - 0*x. Calculate i(k).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-6)\/(-8))\/(11094\/813560)?\nAnswer: 55","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, -5, -136 in increasing order.\nAnswer: -136, -5, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) = -2*q**2 + 17*q - 69. What is p(5)?\nAnswer: -34","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -ca - 146?\nAnswer: -243","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = p + 4*u - 42, 2*p = 17*u - 9*u + 68. Solve p = -13*a + 12 for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*p + 8*p = u + 17, 4*u - 16 = -p. Let a(t) = -4 - 8 + u*t**2 + 12. Let k(s) be the first derivative of -2*s**3\/3 - 1. Calculate a(k(m)).\nAnswer: 12*m**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -27054137 rounded to the nearest 10000?\nAnswer: -27050000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(153)*3*6)\/(sqrt(441)*3).\nAnswer: 6*sqrt(17)\/7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 2\/6 - (-4)\/(-21). Let t = 17005 + -2363701\/139. What is the second biggest value in t, -0.1, h?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -12265000 rounded to the nearest one hundred thousand?\nAnswer: -12300000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 30\/9*(-3)\/12*-6. Let d be (45\/(-6))\/q*6\/(-3). Factor -2*s**4 - 7*s**d + 6*s - 9*s - s**3 + 11*s + 8 - 6*s**2.\nAnswer: -2*(s - 1)*(s + 1)*(s + 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, 2499, -5, 5, -96.\nAnswer: -96, -5, 3, 5, 2499","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 29929867.\nAnswer: 11, 2720897","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -24*i = 2*j - 22*i - 16, 0 = -5*j + 5*i + 10 for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) = z**3 + 8*z**2 + 4*z - 8. Let r(y) = -y**3 - 4*y**2 + y - 1. Let w be r(-4). What is the lowest common multiple of 2 and g(w)?\nAnswer: 94","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 29 = 3*f - 22. What is the tens digit of f?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 29117 to the nearest integer?\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + -6*((-2*(sqrt(91) - sqrt(91)*-2 - sqrt(91)))\/(sqrt(7)*2*-1))**2.\nAnswer: -308","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*k - 7 + 13 = 3*h, -10 = -5*h - 2*k for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*a - 7518 = -3*i - 1596, -5*i + 3*a + 9886 = 0. Is i a multiple of 52?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*t + 3 = -9. Let g = -9 - t. Let l = -5 + 3. Put g, 2, l in decreasing order.\nAnswer: 2, l, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 27*d**3 - 45*d**3 - 3*d**5 - 160*d**2 - 75*d + 8*d**5 - 72*d**3.\nAnswer: 5*d*(d - 5)*(d + 1)**2*(d + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -62 and -0.08.\nAnswer: 4.96","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-1)\/5 - 89\/5. Let y be 8\/36 - 194\/x. Suppose 231 = p + 2*p. What is the highest common divisor of p and y?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (k**2 + 2*k**3 - k**2)*(k**2 - 2*k**2 + 3*k**2) - 23*k**5 + 12*k**5 - 79*k**5.\nAnswer: -86*k**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1785 and 153.\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (r + 7*r - 5*r)*(15 - 13 - 9).\nAnswer: -21*r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Factor -s**3\/2 + 14*s**2 - 26*s.\nAnswer: -s*(s - 26)*(s - 2)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*j**4 + 54*j**3 - 75*j**2 - 324*j - 192 = 0. What is j?\nAnswer: -1, 4, 16","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 1281270 and 825?\nAnswer: 70469850","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 100715 a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*q - 3*k = 61 + 10, -5*q + 5*k = -185. Let m(i) = 2*i**3 - 73*i**2 - 37*i + 47. Let v be m(37). Suppose 0 = v*y - q*y - 1253. Is y a multiple of 23?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: (21\/108)\/(-1)*72\/(-336)\nAnswer: 1\/24","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 1275185?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Factor -6*u**3 - 69*u**2 + 36*u.\nAnswer: -3*u*(u + 12)*(2*u - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Express 113*v + 103 - 103 in the form u + z*v and give z.\nAnswer: 113","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -560 - -584. What is the lowest common multiple of c and 150?\nAnswer: 600","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 110*l + 101 + 43 = 126*l for l.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 11492617 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 34 + -20. Suppose r = -3*j - 25. Does 5 divide 2\/(-1) - (0 + j)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) = 1929*y + 77731. Determine k(-39).\nAnswer: 2500","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 110 minutes before 7:04 AM?\nAnswer: 5:14 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is (39 + -21 - (7 - -6 - -6)) + 12?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/2 in -1\/6, -30, 2\/61, -1, 50\/9?\nAnswer: 2\/61","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*u + 304 = 1900. Let q = 1767 - u. Is q a multiple of 22?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 64*v - 55*v. Find a such that v + 9\/5*a + 1\/5*a**3 - 6\/5*a**2 = 0.\nAnswer: 0, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -1 - 20*n**3 - 7*n**4 + n + 4 + 9*n**3 + 9*n**3 to the form f*n + k*n**3 + z*n**4 + s + t*n**2 and give k.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-12)\/(-6) + 7\/(-4)?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: (-3)\/3*18\/24\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1\/9? (a) 12 (b) 2\/15 (c) -4 (d) 7\/6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) be the first derivative of 11*u**2 + 1352. Let b(d) = -1 + 9 + 2*d - 2. Let y(q) = -1. Let h(a) = -b(a) - 6*y(a). Calculate h(o(p)).\nAnswer: -44*p","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 4 and 1676.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1943 is divided by 36.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 - 4 + 2*a)*(a**3 + 0*a**3 - 2*a**3) + 3 - 3 - 2*a**4 - 3*a**4 - 2*a**4 + 6*a**4 - 6*a**4 + 2*a**4 + 2*a**4.\nAnswer: -5*a**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 4837.425cm in millimeters?\nAnswer: 48374.25","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*l - l + 6 = -r, -3*r - 8 = -2*l. Suppose -l*t = -20*t + 7820. What are the prime factors of t?\nAnswer: 2, 17, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 187717 is divided by 1547?\nAnswer: 530","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (24\/(-32))\/(4*(-9)\/(-32)).\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.04932811 * 0.05.\nAnswer: -0.0024664055","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 0.2093 + -3.2093. Suppose 3*i - 10 = i. Let a(z) = z**3 - 5*z**2 - 6*z + 2. Let m be a(6). Put m, d, i in increasing order.\nAnswer: d, m, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -397 divided by -21273?\nAnswer: 397\/21273","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Convert -267 (base 10) to base 16.\nAnswer: -10b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-6)\/(-15) - (-1466)\/10. Suppose 0 = a + 6*a - c. Calculate the highest common divisor of a and 7.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 11\/418203 and -32\/1192653.\nAnswer: 32201631","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2\/9? (a) 1\/3 (b) 4 (c) -3 (d) -0.5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 744 - 736 - (-37 + -1)\nAnswer: 46","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-5)\/30 + (-1568)\/(-192).\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-7 - -2) + (175\/5)\/5. What is the third derivative of -29*p**2 - 29*p**g - 17*p**3 + 63*p**5 + 17*p**3 wrt p?\nAnswer: 3780*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 213 - -167. Suppose -2*t - j + 845 = 0, -t - j = -k - 45. What is the tens digit of t?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2*y + 3*w - 7, 5*w = y - 63 + 70 for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is five eighths of a litre in millilitres?\nAnswer: 625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3402.\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 0 - 1)*(3*p**4 + 2*p**4 - 3*p**4 + (3*p**2 + p**2 - 6*p**2)*(-p**2 + 4*p**2 - p**2)).\nAnswer: 4*p**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 97943, 195886, 293829?\nAnswer: 391772","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Put 1\/7, 1\/6, 505, -7\/2, 0, -7 in increasing order.\nAnswer: -7, -7\/2, 0, 1\/7, 1\/6, 505","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Express -490*b**3 + 1990*b**3 - 3 - 498*b**3 - 502*b**3 - 489*b**3 + 83*b**4 in the form s*b**3 + t*b**4 + r + w*b**2 + i*b and give t.\nAnswer: 83","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from yyydfyuuuyyfynyyuyy. What is prob of sequence nfy?\nAnswer: 11\/2907","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 34962690 is divided by 51.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2\/(-3)*(-9*(-5)\/(-30))\/1.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (168 - 40 + 39 + (-2 + 2 - 1)*(1 - 2 + 0) + 0 + 2 - 3 + 1 + 1 - 3)*(-s**2 + 4 - 4).\nAnswer: -166*s**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -121, -237, -449, -763, -1185, -1721?\n\"Answer: -t**3 - 42*t**2 + 17*t - 95","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {x: 1, w: 5, r: 4, b: 5}. Give prob of picking 1 w and 1 x.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:15 PM and 9:03 AM?\nAnswer: 708","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 1620942, 3241882, 4862820, 6483756, 8104690, 9725622?\n\"Answer: -v**2 + 1620943*v","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*g = -4*i + 54, 4*g + 0*g = i - 3. Solve i = h + 4*h for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 104678667?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) = -3*v - 17. Let k be r(-7). Solve -7*n - 12 = -k*n for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 16\/763 > -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 102 is divided by 30?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*z - 39 = 5*z. Let s = -75 - z. Is 8 a factor of (-154)\/(-4) - s\/(-24)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 4\/(-18) - (-60)\/27. Let t be w\/(-20) - (-6)\/15. Put -0.3, -0.1, t, 4 in decreasing order.\nAnswer: 4, t, -0.1, -0.3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 220 + -122. Suppose y + 5*z = v, -y = 4*z - 5*z - 74. What are the prime factors of y?\nAnswer: 2, 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0703699 rounded to 2 decimal places?\nAnswer: -0.07","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 18991903911.9927 - 18993011579. Let m = -1107618 - k. Let l = 49 - m. What is l rounded to three decimal places?\nAnswer: -0.007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 6951 + -2*(2 + 7\/(-2)). Let a = v - 4375. Is a composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {h: 1, x: 4, a: 4, s: 6}. What is prob of sequence ssss?\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*g - 68 - 84 = 0. Let o(j) = -j + 21. Determine o(g).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 5387\/15 + -359. Which is the nearest to -4\/9? (a) -1 (b) y (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 200629 a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 113223 to the power of 1\/3, to the nearest integer?\nAnswer: 48","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -55755354000 rounded to the nearest one million?\nAnswer: -55755000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3928428 divided by 6681.\nAnswer: -588","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -613, 5023 in descending order.\nAnswer: 5023, 3, -613","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 194051 a multiple of 253?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 4 - 3. Let y = -201 + 200.881. Let i = y - 2.881. Sort i, 3\/7, f in increasing order.\nAnswer: i, 3\/7, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) = -v**3 - v + 369. Is j(0) a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 337 and -0.5.\nAnswer: -168.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m**(6\/7)*m*m**(-4\/9)*m*m)\/(m\/(m**(2\/25)*m*m))**32)**(-4\/7) assuming m is positive.\nAnswer: m**(-239228\/11025)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Put -830466, 5, -3 in ascending order.\nAnswer: -830466, -3, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) = -100905*f - 1917182. Give w(-19).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: ((-860)\/1290)\/(4\/18 - 0)\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 403885 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 2 and 1884.\nAnswer: 1884","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -308 - -1344. What is the thousands digit of u?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) = -2*p**3 - p**2 + 4*p. What is the lowest common multiple of u(-3) and (-58)\/20 + (-35)\/(-14) - 274\/(-10)?\nAnswer: 297","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-9)\/6*(-28)\/6. Suppose c + p = 2*g + g, 4*c - 20 = -4*g. Is 9 a factor of -1 - -3 - c*-8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*q = q + 5*n, -q + 2*n = 0. Let m = 0 + q. Let j = -5 + 1. Put -1, j, m in descending order.\nAnswer: m, -1, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 13000*n**5*p + 2*n**5 - 4*n**3 + 14*n**2 + n*p - 217*p - 2 wrt n?\nAnswer: 780000*n**2*p + 120*n**2 - 24","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 2.6 + -37.6. Let k = h - -37. Is k less than 0.03?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -47481 divided by -19?\nAnswer: 2499","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -3.7 in 1\/6, -3\/2, -2\/5, 650\/11?\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*k + 9*k + 8 = 0. Let y = k - -1. Suppose 3*o + y = 4*o. What is the highest common divisor of 36 and o?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) = -l**3 - 6*l**2 - 17*l - 20. List the prime factors of t(-5).\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (7 - 157)\/10 + 742\/56?\nAnswer: -7\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1809 + 15*s**2 + 114*s**3 + 14*s**2 - 42*s**2 - 1810 + 13*s**2.\nAnswer: 114*s**3 - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (9\/(-84))\/(4 + (-75)\/20).\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -170.83 + 169. Let w = k - 0.17. Let u = 1.8 + w. What is the second smallest value in 4, 0, u?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.1 in -27, -15, 1\/3, 24?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) = -i**3 + 7*i**2 - 4*i + 3. What is the remainder when 44 is divided by q(6)?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.3 * 858609\nAnswer: -257582.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 3497.496l in millilitres?\nAnswer: 3497496","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 70*-2*1\/(-5). Let s be (-15)\/6*a\/(-10). Let j = -6 + s. Do 1 and j have different values?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) = 11*j - 4. Let p(x) = 24*x - 9. Let i(u) = -13*l(u) + 6*p(u). Determine i(3).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 250?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -14 + 46. Let q = 35 - w. Solve 2*k = q*k - 2 for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 11\/4 of a century in years?\nAnswer: 275","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 707 minutes after 4:45 PM?\nAnswer: 4:32 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 14124 divided by 11\nAnswer: 1284","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: -0.1+1576212596246\nAnswer: 1576212596245.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1bb12 (base 12) to base 16.\nAnswer: a17e","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 21\/5 of a centimeter?\nAnswer: 42","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) = -5*s. Let z(y) = 29*y. Give z(i(x)).\nAnswer: -145*x","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*y + 5*c - 47 = -12, -5*c + 10 = 0. Let o(p) = 7 + 5*p - 4*p + 4*p. Does 13 divide o(y)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -105976, -105976, -105974, -105970, -105964?\n\"Answer: c**2 - 3*c - 105974","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (5280\/36)\/(16\/10104). What is i rounded to the nearest one thousand?\nAnswer: 93000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -456290 to the nearest ten thousand.\nAnswer: -460000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.05, -4\/2415, 0.3, -5, 0.1.\nAnswer: -5, -0.05, -4\/2415, 0.1, 0.3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) = -6*b + 131. Determine c(29).\nAnswer: -43","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 5044?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(13) + sqrt(39)\/sqrt(3) + 2 - (0 + sqrt(52)\/sqrt(4)).\nAnswer: 2 + sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {q: 6, m: 6}. Give prob of picking 1 q and 1 m.\nAnswer: 6\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Factor y**2\/5 + 333*y\/5 - 29638\/5.\nAnswer: (y - 73)*(y + 406)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 2246 and -4769.\nAnswer: -10711174","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3\/((-210)\/(-118)) - (11 + (-375)\/35).\nAnswer: 7\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.4? (a) -8\/3 (b) 7.8 (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -46\/11 and -73\/17648.\nAnswer: 194128","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*z**3 + 9154*z**2 + 10488182*z + 31382214.\nAnswer: 2*(z + 3)*(z + 2287)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Put 478\/83, 2, 64, -135 in ascending order.\nAnswer: -135, 2, 478\/83, 64","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 140, 209, 270, 317, 344?\n\"Answer: -j**3 + 2*j**2 + 70*j + 69","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*q + 23 = 5*j, -3*j + 5*q + 25 = 2*j. Solve -2*y - 8 = -j*y for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 25*c - 23*c + 70 = 5*z, 0 = -z + c + 14. Let m(s) = -s + 6. What is the lowest common multiple of m(-6) and z?\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 6.029 - -0.071. Let n = -8.59 + d. Round n to zero dps.\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -445, 2, -126, -29, -1 in increasing order.\nAnswer: -445, -126, -29, -1, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m\/m**(-20)*m\/m**32*m)\/(m*m**(-2\/15)*m*m\/m**11) assuming m is positive.\nAnswer: m**(-13\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 10\/12*(-3500)\/16. Let d be 3\/(-6) + 1165\/6. Let l = j + d. What is the common denominator of l and -41\/11?\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -114*y**3 - 95*y**3 + 157*y**3.\nAnswer: -52*y**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 424 minutes before 4:48 AM?\nAnswer: 9:44 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*x - 119 = 61. Let i be x*(36\/(-15) - 0). Let s = 529\/5 + i. Is -1 greater than s?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -0.4 - 5.4. Let z = m + 5. Let n = 1.1 + z. Sort 2\/5, -0.5, n in descending order.\nAnswer: 2\/5, n, -0.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 30\/4*(-18)\/180.\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 equal to 1\/1959?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand 24*l**4 - 2921*l**2 + 2921*l**2 + 2*l + (-2*l + 4 - 4)*(-48 - 13*l**3 + 48).\nAnswer: 50*l**4 + 2*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Determine c so that -4*c**5\/7 - 512*c**4\/7 - 24576*c**3\/7 - 524288*c**2\/7 - 4194304*c\/7 = 0.\nAnswer: -32, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 146*w + 245*w = 72*w - 3828 for w.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -2446\/4305 - 2\/615. What is the nearest to -1 in -3, f, 3\/4, 2?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) = -p**3 - 3*p**2 - 3*p - 6. Let u be h(-4). Let j = -10 + u. What are the prime factors of j?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) be the first derivative of x**4\/4 - 4*x**3\/3 + x**2\/2 - 4*x + 8. Suppose 0 = -3*v + 8*v - 20. Let k be q(v). Solve r + 2*r + 15 = k for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) = j**2 - 23*j + 45. Suppose -15*r + 147 = -8*r. Let u be s(r). Solve g + 2*g = u for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 667 and 46?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {b: 4, q: 5, k: 2}. What is prob of sequence kbk?\nAnswer: 4\/495","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (b**2 + 0*b**2 + b**2)*((5 - 1 + 2)*(-6 - 1 - 4) + 0 - 3 + 2) to c*b**2 + r*b + p and give c.\nAnswer: -134","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 441 and 262563.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) = 2*r**2 + 19*r - 7. Let u be p(-10). Suppose -4*d + 0*d + 490 = 3*n, -2*n + u*d + 338 = 0. Is n a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) = -w**2 - 7*w - 1. What is h(-7)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3372 is divided by 11?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 156164 + -71566. List the prime factors of z.\nAnswer: 2, 42299","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 84*k**3*r + 89*k**3 + k**2*r + 9*k**2 + 4*r - 2 wrt k.\nAnswer: 504*r + 534","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -63 - 2?\nAnswer: -65","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -39 + 18. Let b(p) = -p**3 - 21*p**2 - p - 18. Let q be b(d). What is the highest common divisor of 6 and q?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-17)\/2*(0 + -2). Let d = q - 13. What is the smallest common multiple of d and 14?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-38)\/1045)\/((-20)\/(-440)).\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 0.56 and 2965?\nAnswer: 2964.44","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 5 - 5. Let x = 0.1 + b. Let f = 1617 - 1613. What is the second biggest value in -0.2, f, x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*x + 3*x = -924. List the prime factors of x.\nAnswer: 2, 7, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*(sqrt(170)\/sqrt(250) + sqrt(17)).\nAnswer: 6*sqrt(17)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -1127, -1883, -2649, -3431, -4235, -5067?\n\"Answer: -r**3 + r**2 - 752*r - 375","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) = 6*d**3 - 5*d**2 - 2*d + 3. Let j be i(5). Let h(p) = -3*p**2 + p + 31. Let q be h(-8). Let t = j + q. Is t a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: -6336 (base 7) to base 15\nAnswer: -9dc","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) = 2*z**2 + 62*z - 1614. Give d(17).\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: (-38)\/(-6) + ((-4)\/34 - 90\/(-765))\nAnswer: 19\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.28090374 rounded to four dps?\nAnswer: 0.2809","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 2121121120 - -1?\nAnswer: 2121121121","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) = 2*v - 3. Let s be -10*(6\/(-5) - -1). Let o be d(s). Let g be ((-9)\/6)\/((-105)\/147). Is o less than g?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 18834 + -369?\nAnswer: 18465","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -1980 divided by -198\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 140 in 0.4, -0.28, -2\/9, 3\/5, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is (16 + (-232)\/16)\/(1\/314) a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) = w**3 + 6*w**2 + 6. What is q(-8)?\nAnswer: -122","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -184 and -122.771?\nAnswer: 61.229","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2162?\nAnswer: 2, 23, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 2*y**4 + 4141*y**3 + 3917*y + 2?\nAnswer: 24*y**2 + 24846*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 z when two letters picked without replacement from zuuzuzzuuzzzuuzzuuzu.\nAnswer: 9\/38","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*((((sqrt(833) - (1*sqrt(833) + 1)) + sqrt(833))*1 + -3)**2 + -4).\nAnswer: -168*sqrt(17) + 2535","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (2\/(-3))\/(1\/(-132)). Suppose -12*q = -q + w. Is (-9 - 3)*q\/6 a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, 4, 5, -104, -2\/5 in ascending order.\nAnswer: -104, -2\/5, 3, 4, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1 - 2392*h**2 + 2338*h**2 + 22*h - 5*h.\nAnswer: -54*h**2 + 17*h - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) = -b - 16. Let t be v(-6). Let u(g) = 0 + 2 - 3*g + 2*g + 0. Let z be u(t). Solve -2*a - 3*a = 0, -3*r - a - z = 0 for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 4\/7 in 0.1, -0.25, -47, 4\/7?\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -2738\/3 + 925. What is the common denominator of h and -1\/6?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -51623*r + 15*r**2 + 50591*r - 2*r**3 + 0*r**2.\nAnswer: -2*r**3 + 15*r**2 - 1032*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Express (-3*z**2 + 3*z - 3*z + (z + 2 - 2)*(-3*z + 2*z - z) + 3 - 3 - z**2 - 2*z + 2*z + 2*z**2)*(66 - 66 + 5*z) as b*z**3 + q*z + x + s*z**2 and give b.\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) = -4*m**2 + 5*m + 6. Calculate p(3).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) = -k - 5 + 7*k + 0. What is the units digit of z(4)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*q + 8 + 4. Let x(t) = 0 - 7 - t + 3. Let f(s) = 4*s + 9 - s + 0*s. What is q*f(i) - 7*x(i)?\nAnswer: -2*i + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.135066879 rounded to five dps?\nAnswer: 0.13507","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-32)\/(-4))\/(2\/1)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1*(9\/(-45))\/((-10)\/(-400)*44).\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 14553 + -3?\nAnswer: 14550","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 3\/(-2) + (-6 - (-279)\/18). Suppose 44 - i = 6*l. Does 6 divide l?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) be the first derivative of -8 - 1\/2*m**2 - 1\/6*m**3 - 1\/2*m. Factor i(v).\nAnswer: -(v + 1)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 374130 and 336717?\nAnswer: 3367170","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 1633012 to the power of 1\/2, to the nearest integer?\nAnswer: 1278","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) = -x**3 - 5*x**2 - 14. What is the tens digit of v(-6)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5740 is divided by 814.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 18 a factor of 2577888?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s**(-1\/3)\/s*s\/s**4*s*(s*s**(-5)*s*s)\/(s**(1\/12)*s))**41)**(2\/19) assuming s is positive.\nAnswer: s**(-3157\/114)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5261 is divided by 19?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.5 + -520.\nAnswer: -519.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.062, -3.9, 0.13, -0.4, 0.92 in descending order.\nAnswer: 0.92, 0.13, -0.062, -0.4, -3.9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3 divided by -100.\nAnswer: 3\/100","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {n: 1, d: 1, j: 2, o: 1}. Give prob of sequence ndj.\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -5288, -10575, -15864, -21155, -26448?\nAnswer: -31743","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2898852010?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is i in 1163\/2*i**2 + 501*i + 80*i**3 - 1\/2*i**4 + 0 = 0?\nAnswer: -6, -1, 0, 167","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, -1, 4, -4, 0 in descending order.\nAnswer: 4, 0, -1, -2, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 2 + 423?\nAnswer: 425","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (1\/(-2))\/(1\/172). Let z be 6\/27 - b\/18. What is the highest common divisor of 15 and z?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -44327 divided by 10?\nAnswer: -44327\/10","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many weeks are there in 125426920.5s?\nAnswer: 207.38578125","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1231760373, 1231760372, 1231760371, 1231760370, 1231760369, 1231760368?\nAnswer: 1231760367","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 4288547?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -606, -1211, -1816, -2421?\n\"Answer: -605*b - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor -w**2\/3 + 6*w - 27.\nAnswer: -(w - 9)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 18 - (35 + -23) - (6 - -1).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 17123 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) = 5*c**2 + 19*c - 66. Does 7 divide r(4)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*j + 624 + 13402 = 2*t, j - 7013 = -t. What are the prime factors of t?\nAnswer: 7013","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 a and 1 w when two letters picked without replacement from {k: 3, u: 5, w: 3, h: 3, r: 3, a: 2}.\nAnswer: 2\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 252 and 612.\nAnswer: 4284","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -643979622*m**3 - 84*m**2 - 1734401.\nAnswer: -3863877732","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3 + 25*c + 4*c**2 - 13*c + 14*c + 32*c to z*c + s + v*c**2 and give z.\nAnswer: 58","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 512144 to the power of 1\/2, to the nearest integer?\nAnswer: 716","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {q: 4, z: 3}. What is prob of picking 1 z and 1 q?\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 35*b - 41*b + 6 = 0 for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-3 - -20)\/(2\/152). Let m = -917 + r. Suppose 0 = 7*q - 2*q - m. What is the tens digit of q?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 9\/(-3) + -1 + 0. Let x(s) = s**3 + 6*s**2 + 6*s. Let u be x(p). Is ((-30)\/u)\/((-2)\/8) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) be the second derivative of 2 + 1\/10*f**5 + 62*f**2 + 0*f**4 + 6*f - 1\/2*f**3. What is the derivative of m(v) wrt v?\nAnswer: 6*v**2 - 3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 54825 - 54822. Let w be 5*(-1 - 1) - -1. Put 1, h, 3\/5, w in decreasing order.\nAnswer: h, 1, 3\/5, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 26 + -8?\nAnswer: 1b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Round 22640000 to the nearest one million.\nAnswer: 23000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 21138 - 20489. What is the highest common divisor of 55 and m?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*sqrt(125) - -1*sqrt(35)\/sqrt(7))**2.\nAnswer: 80","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*g**3 + 738624*g**2 + 34098576948*g + 68194199432 = 0. Calculate g.\nAnswer: -92327, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 j and 1 f when two letters picked without replacement from fycyjkyyykygkcfyyy.\nAnswer: 2\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) = -3*r**3 + 6*r**2 + 9*r - 1. Let i(f) = f**3 + f**2 - f + 1. Let j(p) = 4*i(p) + m(p). Is j(-4) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-30)\/4*(-12)\/117. Let z = 211\/182 + b. Find the common denominator of -77\/40 and z.\nAnswer: 280","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -428*w**3 + 10*w + 8*w + 6*w - 24*w.\nAnswer: -428*w**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -1 + -1112?\nAnswer: -1113","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: (-7)\/((-63)\/108) - 9\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1b8ee (base 15) in base 3?\nAnswer: 11120010222","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c\/c**2*c*c**(2\/21))\/(c**(-2\/3))**(-10))\/(c*c*c*c**(-3\/8)*c*c*((c*(c*(c*c**(-4\/5))\/c)\/c)\/c)\/c)**(-2\/95) assuming c is positive.\nAnswer: c**(-86609\/13300)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {k: 5, x: 3, f: 2}. Give prob of sequence xkk.\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 7032871 to the nearest integer?\nAnswer: 2652","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*t + 866*w = 869*w + 21450, 5*t + w = 53676. What are the prime factors of t?\nAnswer: 2, 3, 1789","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) be the third derivative of v**4\/24 + 2*v**3\/3 - 3*v**2. Let x be t(-13). Let a = 13 + x. What is the units digit of a?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*l = -8*l + 198. Let o = l + -40. What is the remainder when o is divided by (1 + 7\/(-5))*-35?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) = 8*z + 12. Determine f(-12).\nAnswer: -84","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) = 26*l + 14. Let n(w) = 9*w + 5. Let p(g) = -5*m(g) + 14*n(g). What is the units digit of p(-1)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 84\/10 - 12\/(-20). Find the second derivative of 9*r**2 - 7*r + 5*r + r + h*r wrt r.\nAnswer: 18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:52 PM and 6:06 PM?\nAnswer: 14","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-25)\/(-2)*(559\/(-130))\/(-43). Which is the nearest to 0.1? (a) m (b) 3 (c) 5 (d) 2\/45\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) = -h**3 - 6*h**2 - 5*h. Let u be x(-5). Suppose u = -5*w - 10 + 30. What is the units digit of w?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5 + sqrt(15)\/sqrt(3) + sqrt(5) + 1)**2.\nAnswer: 24*sqrt(5) + 56","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 116034 divided by -166.\nAnswer: -699","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) = 271*q**2 - 10*q + 6. Let g be l(4). Is 2 + g\/12*2 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -5511*q - 2994*q + 1000*q as o + d*q and give d.\nAnswer: -7505","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) = -18*b + 49. Let l(o) = -116*o + 342. Determine -6*l(u) + 41*q(u).\nAnswer: -42*u - 43","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -32475697*r + 32475807*r - 9350 for r.\nAnswer: 85","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -27 divided by 22.\nAnswer: -27\/22","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1150 = 55*u - 219*u + 49*u for u.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 706 minutes before 9:35 AM?\nAnswer: 9:49 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -4235.90705144 + 4236. Let i = y + 39.90695644. Let g = i + -40. Round g to 5 decimal places.\nAnswer: -0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) = -5 + 7*m - 6*m + 3. Suppose -2*r - 2*i = -6 - 0, -1 = 2*r - 5*i. Let o be s(r). Sort -2, o, 2.\nAnswer: -2, o, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 98160 to the nearest integer?\nAnswer: 46","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let q be ((-4)\/6)\/(40\/105). Is -1 not equal to q?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 550 and 500?\nAnswer: 5500","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let 3*y**3 + 9987*y**2 = 0. Calculate y.\nAnswer: -3329, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (1 - 9\/(-6))*14. Suppose 0 = -4*l + q + 22, -2*q = 2*l - 0*l - 6. What is the highest common factor of l and x?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 8587 to the nearest integer?\nAnswer: 93","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 3*h**3 + 294255*h**2 + 50737936.\nAnswer: 9*h**2 + 588510*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Total of -2.6 and -6197320300.\nAnswer: -6197320302.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 398205?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: (0 - 6) + 14 + -1 - (33 + 1)\nAnswer: -27","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -101211 + -12111222212?\nAnswer: -12112101200","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 f, 1 n, and 1 w when three letters picked without replacement from fcnwfnffnwfc.\nAnswer: 3\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -4 in -10.05, -2\/13, 0.05, -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00000892 to 7 dps.\nAnswer: -0.0000089","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = -4*k + 14, -4*c - 3*k = -260. Calculate the remainder when c is divided by 16.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-50)\/((-5469)\/(-547) + -10). Round a to the nearest 1000.\nAnswer: 27000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2244 a multiple of 44?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1193 = -113*l - 4018 for l.\nAnswer: -25","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -1408 + 2284. What is the hundreds digit of s?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) = -2*n - 9. Let q be s(-7). Find the third derivative of 2*j**5 + 3*j**q - 3*j**5 + 0*j**5 + 2*j**2 wrt j.\nAnswer: 120*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-1 - 0) + 3 + 2 + (-416 - -397)\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) be the third derivative of 0*g**4 + 0*g**3 + 59 + 0*g**5 + 0*g + 2*g**2 + 1\/144*g**6. Factor z(b).\nAnswer: 5*b**3\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) = -p**2. Let b(d) be the third derivative of d**4\/8 - 10*d**2. Calculate f(b(u)).\nAnswer: -9*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) = -14*y**2 + 845*y - 8414. Determine d(10).\nAnswer: -1364","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -3078*g**2 - 11345*g?\nAnswer: -6156","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*d - 2*m - 0*m - 20, -2*d + 8 = -4*m. Let q be -1*6*d\/8*1. Suppose 1680 = 9*a - q*a. Calculate the greatest common divisor of a and 35.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + sqrt(3) + (sqrt(3) - (3 + sqrt(18)\/sqrt(6))) - (-1*-3*sqrt(18))\/sqrt(6).\nAnswer: -2*sqrt(3) - 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 468 - 156. What is the lowest common multiple of 6 and w?\nAnswer: 312","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -210 (base 11) in base 5?\nAnswer: -2003","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is -20704 != -20672?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-27)\/36 + (-54)\/(-40). Sort d, -0.1, 0.02, -0.4 in decreasing order.\nAnswer: d, 0.02, -0.1, -0.4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*s - 9 = -0*w + w, 4*w + 5*s = -3. Let g(a) be the second derivative of a**5\/20 - a**3\/2 - 3*a**2\/2 - 2*a. What is the units digit of g(w)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12*i + 22162 = 22570 for i.\nAnswer: -34","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 163933052.\nAnswer: 2, 23, 1781881","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Factor -c**2\/9 + 10*c\/9 + 11\/9.\nAnswer: -(c - 11)*(c + 1)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 27*k**2 - 15*k**2 + 25*k**2.\nAnswer: 37*k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -146*i + 36 = -147*i. Let k be (i\/(-60))\/(2\/10). Solve 3*h - 10 = 2*x + h, k*h = -4*x - 13 for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 220.405 rounded to the nearest 10?\nAnswer: 220","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) = 4*m**3 - 304*m**2 + 302*m - 105. Let v be i(75). Solve 1608*x = 1617*x + v for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 269793 and 10602?\nAnswer: 10252134","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2715 is divided by 97.\nAnswer: 96","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*i - 4 = i + 5*m, 5*i - 26 = m. Suppose 12 = 3*q, i*y + 32 = 10*y - q. Let s(r) = r**2 + 3*r + 2. What is the smallest common multiple of y and s(-4)?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) = 12*f**2 + 54*f - 13. Let p be r(13). Calculate the greatest common factor of p and 572.\nAnswer: 143","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*a**2 + 0*a**2 + 17612*a**3 - 5411*a**3.\nAnswer: 12201*a**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*b + b = g - 4, -g = -5*b + 32. Suppose -b*q = 2*q + 8. Let u = q - -2. Solve -5 = 2*y + u for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 238 - 109. Let x = -127 + k. Let f = 57 - 53. Solve 0 = x*c - 3*o + 2, 5 = -c - f*c + 3*o for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -15, 1\/10, 0.8, -3?\nAnswer: -15","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 166 + 222. Let y = r + -374. What is the greatest common divisor of y and 175?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 31781?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) = -2*o**4 + 2*o**3 - o + 1. Let q(i) = -18*i**4 + 14*i**3 + 30*i**2 - 54*i + 28. Let s(n) = -8*d(n) + q(n). Factor s(u).\nAnswer: -2*(u - 2)*(u - 1)**2*(u + 5)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) = -b**3 + 4*b**2 + 22*b - 2. Let w be t(7). Sort -5.5, -4, w, -0.03 in ascending order.\nAnswer: -5.5, -4, -0.03, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {l: 2, h: 1, v: 1}. What is prob of sequence hv?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) be the third derivative of z**6\/120 - 7*z**5\/60 + z**4\/4 + 3*z**3\/2 - 452*z**2. Give l(5).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-10563)\/(-1006) - 1238\/(-4). Let z be ((-20)\/(-3))\/((-2)\/(-18)). What is the highest common factor of k and z?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 9054919 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 127.61 rounded to the nearest one hundred?\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -1422*p**2 + 302*p.\nAnswer: -2844","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 38381849119 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) = 6*s - 101. Determine h(8).\nAnswer: -53","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1260 = -4*g - 2*l + l, -5*g - 1575 = -l. Let f be ((72\/15)\/(-2))\/(3\/g). Calculate the highest common factor of 28 and f.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 131731 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -26 + 2 = -3*l. Suppose l = 2*j + 4. Let 86*v**4 + 16*v**j + 0*v**2 - 8*v - 84*v**4 - 10*v**3 = 0. What is v?\nAnswer: 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 143 in -102, 0.24, -2\/13, 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Express (2*b**3 + 3*b**3 - 6*b**3)*(9598*b - 2748*b - 232 + 232) in the form j*b**2 + a + f*b + w*b**3 + y*b**4 and give y.\nAnswer: -6850","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (((-117)\/(-5))\/13 - (-279)\/45) + 2.\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) = -k**3 - 9*k**2 - 10*k + 2. Let b be s(-8). Suppose 5*v = 4*v + b. List the prime factors of v.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -157 - -156.98. What is the closest to p in 2, -0.3, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 e and 3 h when four letters picked without replacement from {j: 6, e: 1, t: 3, c: 1, h: 6}?\nAnswer: 1\/119","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -x - 50*n + 6665 = -55*n, 0 = 5*x + n - 33325. Calculate the highest common factor of 5 and x.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 266132937 + -0.2\nAnswer: 266132936.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 232258 - 136205. Is r a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in q - q + 0*q**2 - 2*q**2.\nAnswer: -2*q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 385 minutes after 9:44 AM?\nAnswer: 4:09 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -67937816*g**2*m**2 + 516486241*g**2 - 4*g*m**3 + 2 wrt m.\nAnswer: -135875632*g**2*m - 12*g*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) be the first derivative of 2*x**3\/3 + 3*x**2 + 3*x + 3. Let c be i(-4). Suppose l + 11 = -3*s, 0 = -5*l - 2*s - 2*s - c. What is the units digit of l?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 252 - 142. Let g = 17 - -16. What is the common denominator of 9\/14 and g\/n + (1 - -2)?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3 + sqrt(3) + sqrt(18)\/sqrt(6))*1.\nAnswer: 3 + 2*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) = -w**2 + 8*w - 9. Let h be b(7). Let m be (1 - 0) + h - -6. Suppose -m + 11 = 2*u. What is the units digit of u?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -424 or -87531\/206?\nAnswer: -87531\/206","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -65\/272 and -33\/578.\nAnswer: 4624","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*s = 6*v - 18, -461 + 480 = -v - 5*s for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 741160816?\nAnswer: 2, 11, 19, 20149","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -0.1 (b) -13 (c) 6 (d) -2\/3 (e) 0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*p - 3*p - 2*l - 22, -94 = 5*p + 2*l. Is p bigger than -18?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 36, 194, 454, 816, 1280, 1846, 2514?\n\"Answer: 51*r**2 + 5*r - 20","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -0.64 - -4.64. Let y = 14.7 - 14. Let c = 1.1 - y. What is the biggest value in j, c, -2\/9?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -113*q**3 + 7*q**3 + 21*q**3 + 94*q**3 - 161*q**3.\nAnswer: -152*q**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) be the first derivative of -1789*x**3\/3 - 2126*x + 1636. What is the derivative of a(h) wrt h?\nAnswer: -3578*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) = -5742*q**3 + q**2 - 2*q - 3. Let g be u(-1). Suppose 10*x = 28*x - g. What is the hundreds digit of x?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4979?\nAnswer: 13, 383","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) = -3*c**2 + 8. Let h(l) = -5*l**2 + 15. Let b(w) = 6*h(w) - 11*m(w). List the prime factors of b(-3).\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 41, 73, 105, 137, 169, 201?\n\"Answer: 32*f + 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, -3.8, 7, -0.5, -0.4.\nAnswer: -3.8, -0.5, -0.4, 4, 7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: (10\/(-112))\/((-34)\/238) - 330\/16\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:52 PM and 12:47 AM?\nAnswer: 175","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 25*q + 23 - 39 = -291 for q.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/4 of a tonne in kilograms?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 1260 or 1220?\nAnswer: 1260","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-426 - 23*u + 426)*(1 + 0 + 4)*(2*u**2 + 3 - 3) to the form y*u**2 + w*u**3 + d + j*u and give y.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -p - 4 = -0, -4*g + 5*p = -40. Let r = -4 + g. Is 2*-1 + (22 - r) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 818287*z**3 - 27*z**2 + 10626*z.\nAnswer: 4909722","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 85\/48 and -25\/44.\nAnswer: 528","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -32*u - 44*u - 624 = -24*u for u.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1792615 and 5445?\nAnswer: 605","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2\/3 in -6, 0.1, -101, 2\/11?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) = -29*p + 3289. Let k be z(114). Let q(o) be the first derivative of -o**4\/4 - 4*o**3 - o**2\/2 + 15*o + 1. Is q(k) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find r, given that 2*r**4\/3 - 44*r**3 - 5098*r**2\/3 - 12844*r - 57760\/3 = 0.\nAnswer: -19, -8, -2, 95","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2\/5 in -0.1, -0.3, 32, -1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 34 - 32. Let c be 2 + 0 + -2 + u. Solve 12 = -b - c*b for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3*u**2 - 4*u**3 - 2 + 2*u + 220410*u**4 - 220396*u**4 - u to the form b*u**3 + x + w*u**4 + l*u + y*u**2 and give x.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -3*q**5 + 1038*q**4 - 10078*q wrt q.\nAnswer: -60*q**3 + 12456*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -11100 - -1110011010000?\nAnswer: 1110010110100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -885953, -885949, -885945, -885941?\nAnswer: -885937","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 13\/4 of a decade in months?\nAnswer: 390","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) = -q**2. Let o(v) = 5*v + 8690. What is o(b(g))?\nAnswer: -5*g**2 + 8690","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -163.578*0.5.\nAnswer: -81.789","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) be the first derivative of -10*p**5\/7 - 15*p**4\/7 + 22*p**3\/21 + 12*p**2\/7 - 8*p\/7 - 8. Suppose g(c) = 0. Calculate c.\nAnswer: -1, 2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*r = 0, r + 35 = -116110*a + 116105*a for a.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in one ninth of a week?\nAnswer: 67200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 689 is divided by 643?\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 63639083 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 61 + (-16650)\/260 + (2 - 32\/13)?\nAnswer: -7\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 1481 and -398.\nAnswer: -589438","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 24*m + 2*s + 158 = 19*m + 21*s, 10*s - 70 = 0 for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -23 - 2 = -5*r. Suppose 4 = w + 4*t + 1, -3*w = -r*t - 60. Let m be 2\/(-7) - (-1054)\/14. What is the greatest common divisor of m and w?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 36, 100, 150, 180, 184, 156?\nAnswer: 90","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Round -209433900 to the nearest 1000000.\nAnswer: -209000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (400\/75)\/((-2)\/(-15)). Solve -v + 2*f = -7, 2*v + 3*v + 5*f + q = 0 for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-25)\/(25\/(-6))*-1.\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (2\/(-3))\/((425\/510)\/(30\/(-2)))?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -6 in -1, 1\/6, 0.2?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) = -40*f - 1. Let y(u) = u + 38. Let k(m) = -4*m - 228. Let t(w) = -2*k(w) - 12*y(w). What is a(t(q))?\nAnswer: 160*q - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 2610 smaller than 28718\/11?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) = -f**3 + 10*f**2 - 10*f + 7. Calculate the remainder when g(6) is divided by 31.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) = g**3 + 16*g**2 + 28*g + 15. Let f be u(-15). Let m = 271 + f. What is the third derivative of 33*x**6 - 91*x - 15*x**2 + m*x + 51*x**2 wrt x?\nAnswer: 3960*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence hu when two letters picked without replacement from hlbbxhuz.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 1794, 1817, 1876, 1989, 2174, 2449, 2832?\n\"Answer: 3*p**3 + 2*p + 1789","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 376634.20031 + -376566.2. Let c = o - 68. Round c to four dps.\nAnswer: 0.0003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -0.04814 + 4.04814. Which is the nearest to 2? (a) -12.64 (b) -1 (c) j (d) -0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -c - 2*b + 5, 2*c - 3*b + 2 - 5 = 0. Suppose 5*p = c*p + 678. Is p a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-110)\/(-68) + 9\/(-6). Let r = -12 - -9. Which is the closest to -0.1? (a) 3 (b) f (c) r\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*p**2\/4 - 423*p\/4 + 9840.\nAnswer: -3*(p - 64)*(p + 205)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*o - w + 385 = 371, 0 = 5*w + 5. Solve -2*d = 4*r + 14, -19*d = -15*d - o*r - 37 for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1076 and 386822?\nAnswer: 538","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 943731335 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let 4*z**5 - 377152*z**4 + 1508556*z**3 - 1131392*z**2 - 1508560*z + 1508544 = 0. What is z?\nAnswer: -1, 1, 2, 94284","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 12082310.\nAnswer: 2, 5, 83, 14557","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.001243112755 to four dps.\nAnswer: -0.0012","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 495*p*v - 746*v wrt p.\nAnswer: 495*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 205.983 - 206. Let z = -0.729 + n. What is z rounded to two dps?\nAnswer: -0.75","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) = -m + 21. Let b be z(-12). Let v = b + -35. Let d = -0.22 - -7.22. Put -5, v, d in descending order.\nAnswer: d, v, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) = 2592*j**2 - 18*j - 595. Is k(18) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 3109709781 to the nearest integer?\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 36285?\nAnswer: 3, 5, 41, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c**(-1\/6)*(c\/((((c\/c**(-2\/33))\/c)\/c)\/c))\/c)\/(c\/(c*c\/(c\/c**(1\/2)*c)))**(20\/7) assuming c is positive.\nAnswer: c**(53\/154)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 140 and 48545.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 323815 divided by 4175\nAnswer: 64763\/835","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1458 = -3*a + 12*a. Let c = 161 + a. What is the closest to c in -0.3, -1, 3?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 5230345?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -62267\/54824 + -3\/4984. What is the common denominator of -1\/8 and c?\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 501 is divided by 472.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*r = 21*q - 26*q + 1023, 5*r + 2*q = -2572. Sort -3, 4, r in descending order.\nAnswer: 4, -3, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 9197 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 340 and 1912.1.\nAnswer: 650114","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 229 + -596. What is the fourth smallest value in y, 0.2, 1, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*s = -9*v + 11*v - 330, 0 = -5*s - 20. List the prime factors of v.\nAnswer: 3, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -38 or -34?\nAnswer: -38","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 2\/(-2)*(-1 + -2). Suppose -m*h = 4*h - 287. What is the tens digit of h?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) = o**3 - 5*o**2 + 16*o + 7. Let w be k(11). Suppose 19*r - 10*r = w. Is 102 smaller than r?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -103, -100, -89, -64, -19, 52, 155, 296?\n\"Answer: l**3 - 2*l**2 + 2*l - 104","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) = -110*w**2 + 1092*w + 81. Calculate v(10).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 96\/45 - (-18)\/(-135). Let s = 0.9 + -1. Does k = s?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15*z = 9*z - 42. Let r be (z\/(-42))\/((-4)\/16)*-6. Let q(b) = -b - 3. Let a be q(-3). Solve a = 5*i - r*o - 34 - 6, -i - o = 1 for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 e and 1 c when four letters picked without replacement from eccuuuucecceuuuuee?\nAnswer: 5\/306","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand -9*n - 10*n - 10*n + (0 + n + 0)*(-3 + 3 + 2) - 2*n + 3*n - 2*n.\nAnswer: -28*n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*u - 2*u - 3*t = -19, 5*u = 2*t + 38. What is the greatest common factor of u and 8?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) = 5*d**2 + 281*d + 2435. What is the remainder when s(-9) is divided by 84?\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.3 less than -493986.0572?\nAnswer: -493985.7572","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*k - 27 = -a - 164, 239 = -2*a - k. Let m = a - -34. List the prime factors of (-2)\/7 + m\/(-14).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 189547 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + (-3*(0 + (sqrt(7) - sqrt(7)*-2*6)))**2.\nAnswer: 10646","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ppii when four letters picked without replacement from ppppippippipppppip?\nAnswer: 91\/3060","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*j + 29 = 11. Suppose -2*g = 4*b - 18, -4*b + 3*g + 46 = 13. Let i(m) = 4 + b*m - 7 - 7*m. Determine i(j).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*w + 48 = -4*u, -15476*w + 3*u = -15461*w - 171 for w.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + (4*sqrt(972)*2)\/(sqrt(9) - sqrt(54)\/(sqrt(12)\/sqrt(2)) - (sqrt(225) + sqrt(225) + sqrt(225)*-1)).\nAnswer: -48*sqrt(3)\/5 + 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*k + 2*m = -0*k - 2216, -433 = -k - 3*m. Suppose 449*i - 315 = k*i. Calculate the remainder when 50 is divided by i.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.1 times 215017?\nAnswer: 21501.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*m - 22 = -3*g + 2*g, 2*g + 8 = -5*m. Let z = g + -2. Solve -3*b - 2 = z for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -4687 + 4859. Put -0.4, 0.2, f in increasing order.\nAnswer: -0.4, 0.2, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {n: 6, b: 7, c: 2}. Give prob of sequence cbn.\nAnswer: 2\/65","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(133) - (sqrt(133) + sqrt(133)*-1))*6*-3)\/(5*1*sqrt(175) + sqrt(175) + sqrt(175) + sqrt(175) + sqrt(175)).\nAnswer: -2*sqrt(19)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*i = 10 + 2 for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Total of -516171881 and 0.022.\nAnswer: -516171880.978","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.3 and 53.\nAnswer: -15.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*o - 115 = 8*o. Let f = o - -27. What is the third derivative of f*j**3 - 3*j**2 + 3*j**3 - 3*j**2 wrt j?\nAnswer: 42","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 55414 by -4.\nAnswer: -27707\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*y - 11*y**2 - 2*y - 16*y**2 to l*y + j*y**2 + b and give j.\nAnswer: -27","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 1711267951?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 18 divided by -73.\nAnswer: -18\/73","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -56.2 + 59.2. Which is the closest to 1? (a) 4 (b) j (c) 0.4 (d) 0.12\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from bbqqbqqbqqqb. What is prob of sequence qqbb?\nAnswer: 7\/99","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(832) - (sqrt(832) + 1)) + -3.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -13 + 12.6. Sort -4, q, 30.\nAnswer: -4, q, 30","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 311300 and 1867800?\nAnswer: 1867800","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 1161 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from hbzhqhbxbqqxxbhabzb. Give prob of picking 1 q, 1 b, and 1 z.\nAnswer: 12\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 2\/13 + 8\/(-52). Suppose -3 = -3*n + 3*i, -3 = 3*n + 3*i - p. Suppose 5*q = -n - 15, 0 = -u - q + 25. Is 14 a factor of u?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 644*v - 287 + 573 - 286 + 601*v in the form h + z*v and give z.\nAnswer: 1245","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) = -o**2 + 8*o - 2. Let u(c) = 18*c**2 - 22*c - 4. Determine 2*f(d) - u(d).\nAnswer: -20*d**2 + 38*d","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -41 + 38. Let w be 1496\/119 - g\/7. Solve 5*c + 7 = -2*k + 2*c, 0 = 3*k + 2*c + w for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*t + 4 = 2*j, -t - 2*t - 3 = -4*j. Calculate the remainder when (t + -95)*2\/(-6) is divided by 10.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -16371, -65483, -147339, -261939, -409283, -589371, -802203?\n\"Answer: -16372*j**2 + 4*j - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*(sqrt(400) + sqrt(400)*-3))\/((sqrt(18) + (sqrt(2178) - sqrt(2178)*4))\/sqrt(9)).\nAnswer: -15*sqrt(2)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 6578425571 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 78147139 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 3925 and 4225.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*v + 7 = 19, -1032 = -5*r + v. Let g = -1042 - -1060. Calculate the greatest common divisor of g and r.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5445915 is divided by 55?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {d: 3, l: 2, j: 1, r: 1}. Give prob of picking 2 d and 1 r.\nAnswer: 3\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 373*h = 733*h - 375*h + 15. Put 4, 8, -16, h in increasing order.\nAnswer: -16, h, 4, 8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) be the first derivative of 3*f**6\/2 - 6*f**5\/5 - 1027*f**3\/3 + 992. What is the third derivative of a(i) wrt i?\nAnswer: 540*i**2 - 144*i","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 327 + -109. Suppose 4*a = -2*n + m, -3*n + 5*a = -0*n - 272. Let z = -80 + 89. Calculate the highest common factor of n and z.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 5\/(35 + -5) + 10\/(-60). Let u = 10.14 + -10. Let g = 0.06 + u. Which is the third smallest value? (a) -0.2 (b) -0.5 (c) g (d) n\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*z = 2*g - 192, -g + 251 = -z + 5*z. What is the smallest common multiple of 12 and z?\nAnswer: 372","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 2 divide 119567280?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (h + h - 3*h)*(7*h + 158 - 158) + h**2 - 3*h**2 - h**2 + (-4 + h + 4)*(-2*h + 1 - 1).\nAnswer: -12*h**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (40590\/(-440) + 96)\/(-1 - 13\/(-10)).\nAnswer: 25\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*((sqrt(147) - (sqrt(147) + 0))*6 - sqrt(147))**2.\nAnswer: -735","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 6088 - -3418. Calculate the greatest common factor of 98 and m.\nAnswer: 98","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*t**3 - 10272*t**2 + 45082593*t - 34769599218.\nAnswer: -3*(t - 1371)**2*(t + 6166)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 9522642869 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -0.3, 0, 3, -1\/3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) be the first derivative of -p**6\/90 - 11*p**5\/5 - 363*p**4\/2 + 3*p**3 + 2*p**2 - 247. Let m(t) be the third derivative of q(t). Factor m(s).\nAnswer: -4*(s + 33)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) be the third derivative of v**4\/24 - 16*v**3 + 396*v**2. Let a(t) = -30*t**2. What is w(a(h))?\nAnswer: -30*h**2 - 96","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {s: 2, x: 2}. What is prob of picking 1 x and 1 s?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) = k**2 - 5*k + 2. Let a be x(3). Let t be -8*(a + 6) - -2. Let p be 728\/624 + (-47)\/3. Which is smaller: t or p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*n + 4658*n**2 + 2*n + 443 - 4660*n**2 - 4*n to the form m*n + w*n**2 + u and give m.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*(-4*(sqrt(125) + 3))**2 - 5*6*(sqrt(120)\/sqrt(4))\/sqrt(6).\nAnswer: -6432 - 1470*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 0*(-1)\/(-6)*3. Solve l = 3*n + 5 + 1 for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 22 = k + v, 3*k - 2*v - 60 = v. What is the highest common divisor of k and 14?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) be the second derivative of -b**4\/6 - 16*b. Let h(s) = 79*s**2 - 22*s**2 - 39*s**2 - 22*s**2 + 8. Give r(h(x)).\nAnswer: -32*x**4 + 128*x**2 - 128","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) = -14*b**2 - 23*b. Let g(j) = -5*j**2 - 8*j. Let u be 0 + -2 + 6*-1. Let i = u + 50. Let q be i\/(-4)*4\/(-7). Calculate q*h(p) - 17*g(p).\nAnswer: p**2 - 2*p","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 49 = -g + 32. Let s = -85 - g. What is the lowest common multiple of s\/(-6) + 8\/12 and 18?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4 a factor of 24612?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) = -i**2 - i + 157. Is g(0) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {q: 5, l: 3, e: 2, v: 1, c: 3, i: 1}. What is prob of picking 1 l, 1 v, and 2 e?\nAnswer: 1\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Does 628 divide 789396?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -84*z**2 + 47*z**5 + 63*z - 68*z**2 + 1 - 1 - 49*z**5 wrt z.\nAnswer: -40*z**3 - 304","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 105 is divided by 18?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*n - 11 = -t - n, 4*n = 3*t - 26. Solve 0*x - 2*g = 3*x - 14, 3*x + t = 4*g for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 + (-1*(-4 + 6) - (-96)\/(-45))?\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: (-2)\/4 + (-110954)\/8236 + (4 - -10)\nAnswer: 2\/71","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 309652.08 less than -3577.07?\nAnswer: -313229.15","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 120\/32 - (-3)\/(-4). Solve -5*u + 5*r = 0, -v*u + 6*u - 2*r + 2 = 0 for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*r = -0*r. Let f(q) = q**2 + 6*q + 2. Let t be f(-6). Solve 26 = -0*v - v + 5*g, -t*v + 4*g - 22 = r for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -474 + c03e?\nAnswer: bbca","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*y + 42 = 16*y for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -79 plus 237624274942?\nAnswer: 237624274863","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 15*f**2 - 1950 + 1950 - 2*f**2.\nAnswer: 13*f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 8620\/25852 + (-1)\/3. Let j = h - -4149236\/96945. Let i = 4912\/115 - j. Which is bigger: 0 or i?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3838544791 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -7480629, -7480631, -7480633?\nAnswer: -7480635","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*-2*(sqrt(1100) + sqrt(1100)*2 + -3 + 1*sqrt(1100) + 4).\nAnswer: 2 + 80*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((q\/(q**2*q)*q)\/q)\/((q\/q**(-1\/7))\/q))\/(q**(2\/19)\/(q**(-1)\/q)))\/((q*q\/q**0)**5\/(q\/(q**0*q)*q**(6\/11))) assuming q is positive.\nAnswer: q**(-20047\/1463)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 833?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1635 and 45?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -0.2 times -321548\nAnswer: 64309.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 8888905 is divided by 29?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 23959\/(-19788) + (-10)\/(-8). Is 2 <= t?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) = -n**2 - n. Let l(a) = -14*a**2 + 5*a. Let z(t) = -5*i(t) - l(t). Let o(k) be the first derivative of 2*k**3\/3 + 395. What is z(o(d))?\nAnswer: 76*d**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 22000801.\nAnswer: 22000801","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((1\/33)\/((-163)\/1956))\/((-119)\/77).\nAnswer: 4\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 658496399 is divided by 118?\nAnswer: 113","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) = -491*u + 497. Calculate b(1).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify t\/(t\/t**(-1\/15))*t*t**(-5) assuming t is positive.\nAnswer: t**(-61\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -3 + -7892681?\nAnswer: -7892684","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {e: 1, y: 1, c: 3}. What is prob of sequence cc?\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Work out -483029887 + -0.06429.\nAnswer: -483029887.06429","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*w**5\/11 + 19214*w**4\/11 + 712936*w**3\/11 + 6943032*w**2\/11 + 6249312*w\/11 = 0. Calculate w.\nAnswer: -18, -1, 0, 9644","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 532 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: Factor 2*b**4\/7 - 119174*b**3\/7 + 1775960560*b**2\/7 - 19521148768*b\/7.\nAnswer: 2*b*(b - 29788)**2*(b - 11)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Determine c so that 8*c**5 - 540*c**4 - 25240*c**3 - 181380*c**2 - 326848*c - 121200 = 0.\nAnswer: -25, -6, -2, -1\/2, 101","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) = -g**3 + 42*g**2 + 46*g - 132. Let p be j(43). Let a(v) = v**3 + 2*v**2 - 2*v + 8. What is a(p)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*l**2 + 4*l**2 - 3*l**2 + 3*l**2 + 0*l**2 - 5*l**2 + (l - 4 + 4)*(-4 + 4 + l) + 13*l**2 - 35*l**2 - 14*l**2 + 1 - 1 + 3*l**2.\nAnswer: -35*l**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let a be ((-1309)\/(-66))\/7 + 2\/12. Put 1\/4, 4\/5, a, -29 in increasing order.\nAnswer: -29, 1\/4, 4\/5, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) = 2*i - 84*i - 31*i - 13*i. Let h(m) = 2*m**2. What is s(h(d))?\nAnswer: -252*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -162*l = -167*l + 4*u + 3, 3*l = -3*u + 18 for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.1? (a) -1\/13 (b) -52 (c) 23306\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose s = 3*m + 902, 4*s - 1200 = 5*m - m. Is (-4)\/(-2)*m\/(-2) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 5 divide 3414?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Work out -39910673 - 1412.\nAnswer: -39912085","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the seventh smallest value? (a) -3 (b) 0.3 (c) -0.043 (d) -1\/4 (e) 11\/4 (f) 0.04 (g) -2\/35\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 272112156?\nAnswer: 2, 3, 2519557","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Does 228 divide 745431?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -0.117 + 0.017. Let g(d) = 2*d - 3. Let o be g(3). Which is the closest to -2? (a) -4 (b) o (c) w\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (18\/9)\/((42\/(-12))\/7).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (6\/4)\/(15\/(-30))?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) be the second derivative of -8*o + 0 - 3\/5*o**5 - o**4 - 2\/15*o**6 + 0*o**2 - 2\/3*o**3. Factor x(i).\nAnswer: -4*i*(i + 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.09? (a) -5 (b) 0 (c) 0.2 (d) -2454 (e) 0.1\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -25*n = -1 - 149. Let d(z) = -5*z - 11. Calculate d(n).\nAnswer: -41","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1303 is divided by 639.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 - ((-1 + 14 - (4 - 0)) + -16).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -33779\/2, -1\/2, 14\/15?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose m = -0*m - 1. Let x(g) = -66*g + 1. Does 23 divide x(m)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (-1)\/(-4) - 81\/(-12).\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 35 a factor of 5754203?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4412 = 13*c - 11*c + 5*h, 10997 = 5*c - 4*h. List the prime factors of c.\nAnswer: 31, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -6*g + g**2 + 225*g + 2609*g**3 + 2766*g**3 + 49*g - 5644*g**3 wrt g.\nAnswer: -1614","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, 93, -89, 1 in decreasing order.\nAnswer: 93, 1, 0, -89","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20*y**4 - 58944*y**3 - 247308*y**2 - 282544*y - 47088 = 0. Calculate y.\nAnswer: -2943, -2, -1\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -42 + 39 = 3*q for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 0.085 - -3.015. Let w = -10.1 + 13. Let v = u - w. Sort -3\/4, 0.4, -2\/5, v in descending order.\nAnswer: 0.4, v, -2\/5, -3\/4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -1906*u**4 + 1969?\nAnswer: -7624*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -5 - 3344?\nAnswer: -3352","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 23113092 and 3044.\nAnswer: 23113092","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) = 3*n - 9. Determine h(-7).\nAnswer: -30","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) = -o**2 + 1044. Determine f(-29).\nAnswer: 203","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -170 - -295. Suppose 3*f - q = -2*z, 0 = 2*f - 3*z - 64 - 15. List the prime factors of f.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -13887000 rounded to the nearest 1000000?\nAnswer: -14000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 0 + 8043\/(-105) + 76.\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6 + 14 = -5*f - 1761*g + 1756*g, 0*f - 4*g = -2*f + 10 for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) be the second derivative of -m**5\/20 - m**4\/12 + 2*m**3\/3 - m**2 - 15*m. Let q be f(-3). Suppose -a - q + 7 = 0. Let k(g) = g**2 - 3. Give k(a).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, -14, -2, -1, -6 in increasing order.\nAnswer: -14, -6, -2, -1, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -2382*a**4 + 1172*a - 1 wrt a?\nAnswer: -28584*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 67023 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*g + 25 = 8*g. Let o(t) = 4*t**2 + 11*t - 77. List the prime factors of o(g).\nAnswer: 2, 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 250303 a multiple of 17?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -76*u**3 + 39*u**3 + 30*u**3.\nAnswer: -7*u**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand -12 + 0 + p + 13 + 50*p**3 - 7 + 5*p**3 + 7 + 2*p**3 - 9*p**2 + 9*p**2 - 1 + 1 + p**3 + (-p**2 + p**2 + 2*p**2)*(2*p + 0 + 0).\nAnswer: 62*p**3 + p + 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-50)\/(-20)*(-32)\/20. Let j be (-1)\/k - (-4455)\/(-220). What is the biggest value in -3, j, 5, -1?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -9a678 (base 14) to base 16\nAnswer: -5b6c2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-20)\/(-8)*4\/(-20)*(-12)\/(-3). What is the closest to 0.43 in -0.1, -1, x?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) = n**3 + 5*n**2 - 3*n + 3. What is l(4)?\nAnswer: 135","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Divide -15768 by -2628.\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 962951?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*x - x = -5*v + 17, -v + 9 = 5*x. Let z = -129 + 128. Suppose 0 = d, d = u + 2*d + 1. Which is the closest to z? (a) -4 (b) u (c) v\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) = 2*b + 3. Let z(h) be the second derivative of 2*h + 2*h**2 + 0 + 1\/3*h**3. Let r = 4 + -8. Calculate r*j(s) + 3*z(s).\nAnswer: -2*s","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 345*s**3 + 6*s**2 + 86*s?\nAnswer: 2070","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 1090983060?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -3 + -17 + 28 - 9\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -118 + 71824?\nAnswer: 71706","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -22 - -25. Let r(b) = -k*b - 2*b + b - 3 + 3*b + b**2. Calculate r(-3).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 300999 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -1333499 + -0.4?\nAnswer: -1333499.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*d = -3*j - 10, 4 = 2*j + d - 4 for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) = -67*q**3 - 388*q**2 + 90*q + 11. Determine r(-6).\nAnswer: -25","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 84 and 128995566.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) = 21*p + 337. Give t(-12).\nAnswer: 85","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 1598610 rounded to the nearest ten thousand?\nAnswer: 1600000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.4 and 1.6379469?\nAnswer: 0.65517876","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*i + 5*i - 66 = 0. Let u = i - -132. Is 29 a factor of u?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) = -l**3 + 8*l**2 - 7*l - 3. Let o be g(6). Suppose 3*k = -5*c + 30, -4*c + o = 4*k - k. Suppose k*s - 408 = -13. Is s prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k*k**(3\/5)\/k)\/(k*k\/(k*k\/(k\/k**8*k)))*(k**(3\/5))**(7\/2))**(-7\/5) assuming k is positive.\nAnswer: k**(-609\/50)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is d + 28b29?\nAnswer: 28b37","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*k - 25 = -2*k + x, 86*k + 87*x = -66*k - 44*k + 92*x + 2171 for k.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -4106 divided by -3?\nAnswer: 4106\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.4 and -132051.4?\nAnswer: -52820.56","meta":{"dup_signals":{},"source":"arithmetic__mul_test"},"subset":"dm_maths"} +{"text":"Question: Express (361*h**3 - 363*h**3 - 1890*h**3)*(28*h - 6*h - h + 21*h) as t*h + v + a*h**3 + d*h**2 + n*h**4 and give v.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 277a + 9828?\nAnswer: 114a7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3 - -1 - 8 - -2 - -7.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:01 AM and 10:59 AM?\nAnswer: 418","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 2886143441 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 45 - -2. Suppose -17*m - w + 64 = 0. Let n(y) = 13*y**3 - y**2 + 1. Determine n(m).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -76*x = -47*x - 653 + 160 for x.\nAnswer: 17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.4042791ml in litres?\nAnswer: 0.0004042791","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1799 and 11487.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 35*b**2*j**2*s - b**2 - b*j**2*q*s - 2*b*j*q*s + b*j*q - 22*j**2*q*s + 4*q*s wrt j.\nAnswer: 70*b**2*s - 2*b*q*s - 44*q*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 121, 118, 115, 112?\nAnswer: 109","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) = 386*n**2 + 4*n - 4. Let b be g(2). Is b\/8 + 3\/6 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-632)\/1343*20026\/152\nAnswer: -62","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) = i**2 + 14*i + 58. Let g be j(-4). Let s(m) = 3*m - 3. Let w be s(5). What is the highest common divisor of g and w?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 596188080 to the power of 1\/9, to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 3\/(-3)*((-6)\/(-1) + -11). Suppose m*i - 34 = -14. Calculate the smallest common multiple of i and 33.\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 12793 and 11.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -2*c*n*v**5 - 280207*c*n*v**3 + 4600*c*n*v**2 - 2*c*n - 10*c*v**2 - 3*n*v**2 - 2 wrt v?\nAnswer: -120*c*n*v**2 - 1681242*c*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 104*y = 82*y + 242, 25*y - 290 = 5*d for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -6435, -18245, -35431, -57993?\n\"Answer: -2688*x**2 - 3746*x - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Put -267, -2, -109, 3 in decreasing order.\nAnswer: 3, -2, -109, -267","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 3 in 2\/3, 2\/5, 0.16, 0.2?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*r + 4*z = -10, 2*r - r + 3*z = 0. Suppose 0 = -r*v + 54 - 12. What is the units digit of v?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -37976 minus -116339716?\nAnswer: 116301740","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3*3680.\nAnswer: -11040","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*x - 25 = 8*x. Let p = 50 - x. What are the prime factors of p?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = h - 4*q - 3 + 4, -4*h = -q + 19. Sort h, -3, 1, 11 in increasing order.\nAnswer: h, -3, 1, 11","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-3 - 256\/(-44)) + (-2)\/(-11). Suppose -2*v + g*c = -648, c + c = 8. Is 39 a factor of v?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -59 - -41. Is g greater than 0.4?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -0.2, -2\/13, -269\/8, 0.3, 1?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -872 - -872. Let t(m) = -6*m**3 - m**2 - 4*m - 1. Let l(d) = 7*d**3 + d**2 + 5*d + 1. Let o(k) = -5*l(k) - 6*t(k). Determine o(a).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -76 + -14?\nAnswer: -8a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -172 + 1206\/7. Let l be (-1365)\/126 - (-12)\/9 - -9. Sort -0.3, l, c, 1\/15 in decreasing order.\nAnswer: c, 1\/15, -0.3, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange ((2 - 2 + 2)*(-1 + h + 1) - 6*h + 2*h + h - 2*h + 1 - 1)*(8 + 3*h - 8) to o*h + c*h**2 + j and give c.\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 4065?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -6*x**5 + 3*x**4 + 259*x**3 + 151482*x**2 wrt x?\nAnswer: -360*x**2 + 72*x + 1554","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (12\/30)\/((-2)\/35). Let q be (-3)\/(-1) + (6 + -11 - v). Solve t - q = 2*y, 2*y + 5*t = 11 + 14 for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-2*33\/77*(-70)\/(-15))\/222\nAnswer: -2\/111","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -0.4 + -0.1. Suppose q + 5*s - 11 = 0, 0 = 5*q + s + 2*s + 11. Let t be (-3)\/(-6)*(-2)\/q. What is the second biggest value in 0.4, r, t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-6)\/10 + (-132)\/(-20). Suppose q = -1 + f. Suppose -4*l - 12 = 0, -q*o - 2 = 2*l - 1. Sort o, 2, -2.\nAnswer: -2, o, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*i + 2 = 23. What is the highest common factor of 21 and i?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) = -5*m**2 + 21*m - 467. Let k be p(14). Round k to the nearest 10.\nAnswer: -1150","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(130)\/(1*(sqrt(40) - sqrt(10))) + 4 + (1*sqrt(208) - sqrt(208)).\nAnswer: sqrt(13) + 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 0.2 (b) 1\/10 (c) 3532 (d) 1\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (1 - 34\/30)\/((-7)\/55923). Let i = g - 1051. Which is smaller: i or 14?\nAnswer: 14","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, 1593, 2 in ascending order.\nAnswer: 2, 3, 1593","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: (((-633)\/(-3376))\/((-3)\/4))\/(-1)\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -1076 rounded to the nearest 10?\nAnswer: -1080","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (0\/1 + -2)*-1. Suppose 17 + 13 = l*f. Let k = 0 + f. Solve -5*n + 0*m + 3*m - 15 = 0, 5*n + 3*m = k for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) = u + 3. Let g(b) = 70*b + 4*b**3 - 1 + b**2 - 70*b. Suppose 0 = 3*i - 2 + 5. Let y be g(i). What is z(y)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1434381, -1434382, -1434383?\nAnswer: -1434384","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 9014.8638 take away -0.2?\nAnswer: 9015.0638","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 4\/5 (b) 0.1 (c) -0.3 (d) 17779\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) = -q**2 + 11*q + 14. Let p be h(12). Suppose 5*j + 3 = -3*o - 2, 2*o + 2 = -2*j. Sort 1, j, p in decreasing order.\nAnswer: p, 1, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -145*q + 150*q - 11*a - 299, -170 = -q + 4*a + 2*a for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*v**2\/7 - 1580*v\/7.\nAnswer: -2*v*(v + 790)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -34993704 times -1.8?\nAnswer: 62988667.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -181 + 19. Let r = 197 + d. What is the remainder when 314 is divided by r?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) = r**3 - 10*r**2 - 10*r - 3. Let z be u(11). Suppose 3*q = z*q - 20. Suppose 33 = t - j, q*t = 2*j + 115 + 17. Is t a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -7153 - -7430. What is the remainder when m is divided by 59?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 42 + -12. Suppose 270 + k = 4*r. Let s = 122 - r. List the prime factors of s.\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*k + 16 = v, 12*k - 7*k - 33 = 2*v. Solve -2*r - t = 2*r + 14, k*t - 14 = r for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) = 3*p**3 + 5*p**2 - 6*p - 4. Let f(j) = -j**2 + 5*j - 2. Let m be f(4). Let b(q) = -2 - 3*q**m + 3 + 0*q**2 + 1 + 3*q - 2*q**3. Give 5*b(y) + 3*l(y).\nAnswer: -y**3 - 3*y - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 11210010100 + -11?\nAnswer: 11210010012","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*q + 4*q + 2*q)*(4*q - 3*q + q) - 13*q**2 + 6*q**2 + 29*q**2.\nAnswer: 24*q**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 348 = 2*k + 5*u, 5*k - u + 386 = 1256. Let y = -148 + k. Put 3, -0.1, -3, y in descending order.\nAnswer: y, 3, -0.1, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) = -o**3 - 6*o**2 - 17*o - 35. Let l be w(-5). Let t(u) = -u**2 + 23. Let g be t(0). Is g less than l?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) be the first derivative of -d**3\/3 + d**2\/2 - d + 3. Let v = -17 - -12. Let a = -2 - v. What is t(a)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1520, -6047, -13598, -24179, -37796, -54455, -74162?\nAnswer: -96923","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -58.2 + 51. Let t = w - -7.5. Let u = 8.4 + -8. What is the third biggest value in -0.1, t, u?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 1, -18339, 4, 12 in increasing order.\nAnswer: -18339, -2, 1, 4, 12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from pqhrruzh. What is prob of picking 2 h?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p\/(p\/p**(-1)))**(-20\/3)\/(((p*p*p**(-1))\/p)\/p)**49*((p**(-2))**(1\/15))**41 assuming p is positive.\nAnswer: p**(251\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 + 0 + (-29 - -23).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 70550.\nAnswer: 2, 5, 17, 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -92 (b) 0.625 (c) 0.03 (d) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: (-3 + 2 + 0)\/(197275\/(-320496) + 21\/33)\nAnswer: -48","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -65413.1*0.1.\nAnswer: -6541.31","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1068 or 1067?\nAnswer: 1067","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Do -2\/13 and 35837 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 30945.07 hours in minutes?\nAnswer: 1856704.2","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*(sqrt(114) - (sqrt(114)*-2 - sqrt(114))) + sqrt(114))\/(-1*sqrt(486)).\nAnswer: -17*sqrt(19)\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w**(2\/15)*w)\/w**(-17) assuming w is positive.\nAnswer: w**(272\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 314, 0.2, -1, -0.079?\nAnswer: -0.079","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 4548\/5 (b) 3 (c) 0.4 (d) 5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 38989 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 10 divided by -207\nAnswer: -10\/207","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 985 + -985.5. Which is the third smallest value? (a) -0.7 (b) d (c) -3.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 11 and -44.9.\nAnswer: -493.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.4? (a) 40 (b) 1\/2 (c) 0 (d) 46 (e) -9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let -952*z**4 + 49964*z**3 - 23912*z**2 - 416*z = 0. What is z?\nAnswer: -2\/119, 0, 1\/2, 52","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*i = 10*i + 2*l - 22, -3*i + 4*l = 0. Suppose 23*d - 24*d + i = 0. Let n be 3*(2\/(-6) - -1). Solve -2*r + 2*u + 2 = 0, -d = -4*r - n*u + u for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_test"},"subset":"dm_maths"} +{"text":"Question: Is -6008\/19 equal to -317?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: (-4 - (-13 - -6)) + -4 - 8\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 590394.02 and 474921?\nAnswer: 115473.02","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is v in -10*v**5\/13 + 908*v**4\/13 - 1738*v**3 + 94024*v**2\/13 - 123848*v\/13 + 51520\/13 = 0?\nAnswer: 1, 14\/5, 40, 46","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 391*-1.\nAnswer: -391","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, 0, -2, 196 in increasing order.\nAnswer: -2, 0, 4, 196","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify n**(6\/17)*n**(-3\/37)*n assuming n is positive.\nAnswer: n**(800\/629)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) = g**2 + g. Let h(l) = 15*l**2 + 8*l. Let b(f) = -h(f) + 5*r(f). What is the second derivative of b(w) wrt w?\nAnswer: -20","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 k, 1 u, 1 r, and 1 f when four letters picked without replacement from rkkkfkkkrkrkkfku?\nAnswer: 3\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 13975727?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 10319*r**3 - 6926*r**2 wrt r.\nAnswer: 61914","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) = 2*r**2 - 5. Suppose 4*s = -8*k + 12*k - 28, k = 10*s + 70. Let m(f) be the first derivative of -18 + k*f + 1\/2*f**2. What is m(g(p))?\nAnswer: 2*p**2 - 5","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 72815 is divided by 36372.\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -16 + 23. Let q = a + -4. Suppose -3*g = -2*g - q. List the prime factors of g.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -2075 + 37271\/18. Let t(h) = 17*h**2 + 2*h - 2. Let d be t(2). Find the common denominator of d\/(-6) + 2\/(-4) and k.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*x + 4*w + 9 = 0, x + 4*w - 59 = -70 for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {a: 5}. What is prob of picking 3 a?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (16 - 333) + 1 + 3. Let n = 313 + i. Suppose -4*z + 18 = 2. Solve -4*y - 2*j - 4 = 0, 4*j = -z*y - n*y - 12 for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) be the second derivative of n**4\/3 + n**3\/3 + n**2 + n. Let r = -28 + 26. List the prime factors of d(r).\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -36 + 58. Suppose -5*b + 152 = -3*q, -5*q + 14 = b - s. Is b prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -66 in -43\/2, 0.1, -58?\nAnswer: -58","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 - 2 + 3)*(0*l**3 - 2*l**3 + 3*l**3)*(-l + l + l).\nAnswer: -l**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -5*u + 16 - 1 for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let i be ((-4)\/10)\/(3\/(-150)). Suppose 0 = -u - 2*z + 4, -6*z = -2*u - 3*z - i. Which is the second biggest value? (a) u (b) 3 (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 20199, 40397, 60595, 80793, 100991?\n\"Answer: 20198*x + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-2)\/(1 - 2\/6). Let j(y) be the third derivative of -y**4\/24 - y**3\/2 + 7*y**2. Let b(o) = -2. What is c*b(q) + 2*j(q)?\nAnswer: -2*q","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8*k + f + 1 = 6*f, -5*k - 5 = -2*f - 1 for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ygbnpyntt. Give prob of picking 1 p and 1 n.\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -19*n = -8*l - 22*n + 476, -282 = -5*l + 2*n. Calculate the remainder when 395 is divided by l.\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 3060 and 5040?\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) = k**3 - 12*k**2 - 12*k + 8. Calculate q(13).\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) = 2*j**2 - j - 10. Let m be l(3). Suppose 3*k = 5*w - 4, -6*w - 5*k = -m*w - 12. Solve -o = 6*r - 2*r - 25, -w*o + 35 = 5*r for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -129413.8858462+0.2\nAnswer: -129413.6858462","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) = v**2 + 55*v - 182. Suppose -4*m + 220 = -4*i, -92 + 40 = i - 2*m. Determine x(i).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 276701?\nAnswer: 89, 3109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*h + 2*h - 16 = 0. Let x(b) = -b**2 + 11*b - 19. Calculate the remainder when 9 is divided by x(h).\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 1\/3 + -1\/21. Let j = -1.95 + -0.05. What is the second smallest value in 0.5, v, j?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -1\/304 - 591\/5168. Let o = -166 + 167.5. Put o, 3, n in descending order.\nAnswer: 3, o, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 1.3 - 1. Let o = j - 0.4. Round o to the nearest integer.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1\/117, 3\/2, -3 in ascending order.\nAnswer: -3, 1\/117, 3\/2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 4 + -22. Let i = 14 + d. Let y = 22 + -87\/4. Which is greater: i or y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 24 a factor of 2160?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) = 4*m**3 - 23*m**2 + 3*m + 3. List the prime factors of k(7).\nAnswer: 269","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 3\/(-4) + 3\/(-12). Let r be -1 + 2 + 1\/m. Let p be 0 + r\/1 + -3. Which is the biggest value? (a) p (b) 4 (c) -0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2 + (-4)\/22 + (-13260)\/6930\nAnswer: -2\/21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -87*h**4*j**2 + 32*h**4*j + j**2 - j + 3033 wrt h.\nAnswer: -348*h**3*j**2 + 128*h**3*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of ((-18)\/7)\/((-38)\/2394) and 8?\nAnswer: 648","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) = 192*k - 6. Let a be n(-2). Round a to the nearest one hundred.\nAnswer: -400","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (2\/(-3))\/((-5)\/15)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor 8*a**4\/11 + 6*a**3\/11 - 36*a**2\/11 + 2*a.\nAnswer: 2*a*(a - 1)**2*(4*a + 11)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 39.8 less than -26798.48?\nAnswer: -26838.28","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*d = -173 - 310. Let p = d + 106. What is the tens digit of p?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -9 - -5. Suppose 1405*v = 1464*v - 236. What is the second smallest value in r, -2\/7, 12, v?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -115\/532 and 92\/399?\nAnswer: 1596","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -40 + 80 - 40 - u + 3*u.\nAnswer: 2*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -2327 - -23353\/10. Let l = 7251\/418 - 289\/19. Calculate the common denominator of l and o.\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 39 and 1391.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-470)\/376)\/(1\/56) - 45\/(-3).\nAnswer: -55","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 4\/18 + 6612\/(-1566)\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 262006 to the nearest integer?\nAnswer: 64","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*n + 0*n - 3*n = -275. Calculate the highest common factor of n and 1450.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1255872 is divided by 402.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 13775 to the power of 1\/2, to the nearest integer?\nAnswer: 117","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 72.923 + 0.077. Let m = 78 - l. Let p be (2\/4)\/(3\/24). Which is the second biggest value? (a) p (b) m (c) -1.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 170457500.\nAnswer: 2, 5, 41, 1663","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 s and 1 r when four letters picked without replacement from {r: 6, s: 6, a: 1, z: 7}?\nAnswer: 8\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 669 minutes before 6:33 AM?\nAnswer: 7:24 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*b = -b - 338. Let v = b + 28. Let c(m) = 2*m**2 - 3*m. Let s(z) = z**2 + z. Let y(t) = v*c(t) + 6*s(t). Let d(j) = 2*j**2. Determine y(d(k)).\nAnswer: 40*k**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 314917723?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6763776?\nAnswer: 2, 3, 8807","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3374*o**2 - o + 7664*o**2 + 6009*o**2.\nAnswer: 10299*o**2 - o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) be the first derivative of y**4\/4 - 4*y**3 - 14*y**2 - 4. Let k be f(14). Suppose k = h - 4*h + 39. Calculate the remainder when 37 is divided by h.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -2392, -8458, -18578, -32758, -51004, -73322, -99718, -130198?\n\"Answer: -v**3 - 2021*v**2 + 4*v - 374","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3807 is divided by 67?\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) = 8*k**2 + 10*k - 56. List the prime factors of g(-13).\nAnswer: 2, 11, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 = -3*p + 4*p, 4*p - 11 = -3*r. Let z = r - -4. Suppose -280*g + 21 = -273*g. Solve g*c + 8 = -z for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 594 * 8.06.\nAnswer: 4787.64","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9727*f - 413515 - 104200 - 161261 = 3135*f for f.\nAnswer: 103","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 518 is divided by 112.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let -3*g**2 - 1681890*g - 3363768 = 0. Calculate g.\nAnswer: -560628, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) = 986 - 26*o + 7*o - 986 + 25*o. Let t(u) = 5*u - 97. What is t(z(m))?\nAnswer: 30*m - 97","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q = -18*d + 23*d - 286, 0 = -d + q + 58. Solve d*t + 259 = 20*t for t.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:39 PM and 5:54 PM?\nAnswer: 315","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -3 - 210?\nAnswer: -213","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*z - 7 = -103. What is the greatest common factor of z and 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: -4.109 times -501\nAnswer: 2058.609","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) be the first derivative of -5*x**6\/3 - 11*x**2 + 13. Find the second derivative of y(q) wrt q.\nAnswer: -200*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 69 and 170637.\nAnswer: 69","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -456*x**4 - 219715*x**3*y**2 + 5*y**2 - 28057326 wrt x.\nAnswer: -1824*x**3 - 659145*x**2*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x*x**(-2\/7)*x)**(11\/6)\/(x\/(x\/(x\/(x*x\/(x**(1\/3)\/x)))))**(-6\/7)*(x**(-1\/13)\/(x*x**(-1\/13)))**(2\/177) assuming x is positive.\nAnswer: x**(2110\/1239)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 117828024 to the power of 1\/9, to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 84 = 8*j + 28 for j.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) = -2*t. Let g(l) = -l - 4*l + 0*l - 2*l. Determine g(o(c)).\nAnswer: 14*c","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) = -g**3 - 15*g**2 + 4*g - 18. Let c be n(-16). Suppose -21*s = 8*s + c. Which is smaller: s or -50\/7?\nAnswer: -50\/7","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 303686500?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -7834 + 13464. Is j a multiple of 2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 10166 and 44873.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 4786512 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: Calculate ((-82)\/615)\/((16\/(-20))\/(-2)) - 38\/(-24).\nAnswer: 5\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_test"},"subset":"dm_maths"} +{"text":"Question: Let m(s) = -23*s + 101. Let k be m(4). Let n be 11 - k\/((-6)\/(-2)). Solve u - 3 = -n for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -15 - -20 - (4 + (-1 - -3)).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8 = l + z, 4*z - 32 + 5 = -3*l. Sort -5, l, 2, -0.2 in descending order.\nAnswer: l, 2, -0.2, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) = -17*v**3 + v + 3 + 3*v**3 - 2 - v**2. Let c be u(-1). Suppose -2*s + 9 + c = 0. Calculate the highest common divisor of s and 88.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -569.2 - -569.203769. Round i to three decimal places.\nAnswer: 0.004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -40 = -4*m - 0*m. Let y(x) = x**2 - 10*x + 4. Calculate the remainder when ((-13)\/(-39))\/(((-4)\/33)\/(-4)) is divided by y(m).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f*(f**0*f)\/f*f*f)**(-7\/2)*((((f\/(f**(-2\/7)\/f))\/f*f)\/f)\/f)**(4\/3) assuming f is positive.\nAnswer: f**(-425\/42)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) be the third derivative of 145001*o**4\/24 - 4*o**3\/3 - 2*o**2. Let v be s(8). Round v to the nearest one hundred thousand.\nAnswer: 1200000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 6567.69 micrograms to kilograms.\nAnswer: 0.00000656769","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) be the third derivative of -37*s**4\/4 + 75*s**3 + 23*s**2 + 26. What is the derivative of g(v) wrt v?\nAnswer: -222","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_test"},"subset":"dm_maths"} +{"text":"Question: Solve -7*w - 3*j - 316 = -2*w + 15*w, -5*w - 4*j - 372 = -3*w for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 27807 and 138.\nAnswer: 69","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {t: 2, q: 3, w: 9, u: 5}. What is prob of sequence uwwu?\nAnswer: 5\/323","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*p = -h + 24, 2*h = -5*p + 3*h + 30. Let f be 11\/3 + (-4)\/p. Let u = f - 5. Does u = -2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) = -9*a**2 + 10*a - 110. Let f(k) = -3*k**2 + 4*k - 44. Let i(l) = -15*f(l) + 6*v(l). Let m(h) = 0*h**2 + 2*h**2 + 3*h**2. What is m(i(u))?\nAnswer: 405*u**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -9431*p**3 - 62*p**2 - 53 wrt p.\nAnswer: -56586","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (0\/(-6))\/(-5)*(-3 - -2). Let d = -3 - 0. What is the nearest to q in 0.4, d, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -1188 + 1187.9. Is -0.062 smaller than p?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 1\/1 + 2 - (22 + -22). Let x be ((-65)\/(-70) + c\/(-7))*0. Solve -3*l - l = -20, -i - 4*l + 19 = x for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*p + 134 = 8*p - 2*x, 5*p - 166 = 4*x. Suppose p*v + 3*s + 13245 = 31*v, 3*s + 22065 = -5*v. What is v rounded to the nearest one hundred?\nAnswer: -4400","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-w - 105 - 291*w**2 + 166 - 64)*(-w + w + w).\nAnswer: -291*w**3 - w**2 - 3*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence vli when three letters picked without replacement from {c: 1, v: 1, l: 1, i: 2}?\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sort -21080, -3, -53 in descending order.\nAnswer: -3, -53, -21080","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -7894, -7942, -7990?\n\"Answer: -48*d - 7846","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 83*m**2 - 2227*m + 248502?\nAnswer: 166*m - 2227","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*o + 17*o - 87 = 0. Suppose 5*h = -5, 0 = -v + o*h - 2*h + 973. 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 remainder when 275 is divided by (3*(-18)\/15)\/((-12)\/40)?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose x**5\/3 + 3874*x**4\/3 - 487903*x**3\/3 - 1560424*x**2\/3 + 2679484*x - 1998000 = 0. Calculate x.\nAnswer: -3996, -6, 1, 2, 125","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -164, -316, -490, -686, -904?\nAnswer: -1144","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*p = -2*z - 0*z + 28, 0 = -z + p - 1 for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -22141 = 251*z - 2563 for z.\nAnswer: -78","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 4216254118 and 1997.\nAnswer: 1997","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 1 or 1\/250001760?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) = -2478*h + 128850. Calculate x(52).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(133)\/(sqrt(63)\/(sqrt(45)\/sqrt(5))) - sqrt(133)\/sqrt(112)*-5.\nAnswer: 9*sqrt(19)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) = -o**2 + 8*o + 185. Let u be p(-10). Solve 0 = u*c + 21 - 36 for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 3, 31, 53, 69, 79, 83, 81?\n\"Answer: -3*u**2 + 37*u - 31","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 346261407 to the power of 1\/10, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is (-246 - -228)*(-2)\/(-12)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r**(5\/3)\/r*r*r**(-4\/3))\/((r\/((r\/(r*(r**6\/r)\/r))\/r))\/((r**9*r)\/r)) assuming r is positive.\nAnswer: r**(10\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify v**4*(v*v*v\/(v*(v\/v**(3\/8))\/v)*v*v)\/v*v**(-3\/8)\/(v*v**(-1\/18)) assuming v is positive.\nAnswer: v**(109\/18)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -2002 + 1997. Which is the closest to 10? (a) 2\/5 (b) j (c) 5 (d) -1\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -133*j**6 - 132709*j**3 + 16784261*j**2 + 3*j.\nAnswer: -15960*j**3 - 796254","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (13800*y - 13802*y + 14 + 13)*(-y + 1 + 0 + 0*y).\nAnswer: 2*y**2 - 29*y + 27","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 28356 - 10736. Let h(a) = 2*a + z - 17620. Let p(w) = 3*w**2 + 2*w - 2. Let l(x) = -30*x**2 - 21*x + 21. Let s(u) = 2*l(u) + 21*p(u). Determine h(s(g)).\nAnswer: 6*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 7081\/136297 at least 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -36 - -40. Suppose s + u = 0, 2*k - 4*k = -s - 290. Suppose -6*b + 3*b + k = 2*j, 5*b - 4*j - 253 = 0. List the prime factors of b.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) = 2*p. Suppose c - 1 = -5*k + 1, -4*k + 2*c - 4 = 0. Let i be 0 - (-1 + k) - 1. Let q(t) = -t - t - t + i. Determine v(q(m)).\nAnswer: -6*m","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:18 AM and 12:51 PM?\nAnswer: 573","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9*a - 11 = 25 for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g**4\/g)**(4\/21)*g**(-2)\/g**(1\/10))**(-17) assuming g is positive.\nAnswer: g**(1819\/70)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) = 4*d + 22. Let j be b(2). Suppose -j*w - 1323 = -4683. What is the highest common divisor of w and 126?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 35724, 71615, 107520, 143445, 179396, 215379, 251400, 287465?\nAnswer: 323580","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0002395 to five decimal places.\nAnswer: 0.00024","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find x such that 36 - 18*x + 13\/2*x**3 - 13*x**2 + x**4 - 1\/2*x**5 = 0.\nAnswer: -3, -2, 2, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -155\/1002 + -2\/167. Which is the closest to 1\/3? (a) 0.3 (b) z (c) 0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (4\/133)\/(26\/(-364)*-2).\nAnswer: 4\/19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*g - g = -y - 17, y = -g + 1. Let m(p) = 27*p**3 - p**2 + p - 4. Is m(g) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) = -2*p - 33. Let x be y(-23). Suppose -37*h + 40 = -29*h. Solve -3 = h*a - x for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 809505?\nAnswer: 3, 5, 17989","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 54833.\nAnswer: 54833","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1259 + 1251)\/((-2)\/8)?\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 5*a**3 - 4 - a**4 + 5 + 3*a**2 - 6*a**2 to s*a + m*a**3 + t*a**2 + q + x*a**4 and give q.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 5f00 (base 16) in base 14?\nAnswer: 8c12","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -116675189*p**2 - 142771734?\nAnswer: -233350378*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) be the second derivative of j**3\/6 + 5*j**2 + 114*j. Let s be -13 + ((-22)\/55)\/((-4)\/50). Give m(s).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) = -588*t**3 + 71*t**2 + 4*t - 4. Let j(n) = -1180*n**3 + 142*n**2 + 9*n - 8. Let y(c) = 9*h(c) - 4*j(c). What is the third derivative of y(a) wrt a?\nAnswer: -3432","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) = x**2 - 66*x - 2356. Let o be d(-27). Solve 38*v - o = 35 for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -93 + 55*a**3 - a - 54*a**3 + 95 + 2*a**2 in the form j*a + q*a**3 + x*a**2 + b and give x.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is fifteen quarters of a centimeter in micrometers?\nAnswer: 37500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*z**2 + 51 + 22 - 3 + 3.\nAnswer: 2*z**2 + 73","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*p + 3*p - 14*p = 0. Let x be (4*(-4)\/16)\/((-1)\/3). Sort p, x, -38 in decreasing order.\nAnswer: x, p, -38","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 91 + -79. Let c(t) = -4*t**2 + 37*t - 1. Let a be c(l). Let w = a + 139. Calculate the smallest common multiple of w and 9.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 626055038?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify i**(2\/17)\/(i**5*i*i)*i*i\/i**0*i*i*i**(-3\/2)\/i*i assuming i is positive.\nAnswer: i**(-149\/34)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Are 5622 and 5555 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Does 113 divide 196168?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*h**5 - 28*h**3 + 24*h**2.\nAnswer: 4*h**2*(h - 2)*(h - 1)*(h + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) = 6*f**2 - 8*f - 1. Let x(u) = -11*u**2 + 9*u + 5. Let r(i) = 21*i**2 - 18*i - 9. Let a(j) = 4*r(j) + 7*x(j). Calculate -4*a(h) + 5*s(h).\nAnswer: 2*h**2 - 4*h - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 3156 and 731110544?\nAnswer: 1052","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 133 and 56?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -28*n**2 - 4*n**3 - 56*n**2 + 84*n**2 + n**3.\nAnswer: -3*n**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Put 19, 2, -225\/11 in increasing order.\nAnswer: -225\/11, 2, 19","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: (1\/(-1))\/((-1)\/(-3))\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 42608940?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -42 + 41.9991. Round p to 3 decimal places.\nAnswer: -0.001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 681 minutes after 12:31 PM?\nAnswer: 11:52 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) = 3*a + 11. What is h(-14)?\nAnswer: -31","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1262370487?\nAnswer: 7, 25762663","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -22*t**2 + 8*t**2 + 49 + 18*t**2 to the form y*t**2 + q + u*t and give y.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*w - w + 30 = 0. Let q = w - -5. Are -3 and q unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, -4, -43, 0, 26 in decreasing order.\nAnswer: 26, 0, -3, -4, -43","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -5.29 + -14.96. Round f to the nearest ten.\nAnswer: -20","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -21*h - 396*h - 115*h - 4*h + 20*h + 1 to the form y + l*h and give l.\nAnswer: -516","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9 = 3*w - 12. Suppose -2*t - 5*b + 11 = 0, t + 0 + 8 = 2*b. Is (127\/t)\/(w\/(-2)) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + (sqrt(51)\/sqrt(3)*3)**2 - (sqrt(34)\/(sqrt(288)*-2))**2 - (-3 + (2 + 1 + sqrt(1377) - sqrt(1377))*6)**2.\nAnswer: -43217\/576","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 4549621829 to the power of 1\/2, to the nearest integer?\nAnswer: 67451","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -474\/5 (b) 7 (c) -0.4 (d) 8 (e) 3\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_test"},"subset":"dm_maths"} +{"text":"Question: Round -46295870 to the nearest 10000.\nAnswer: -46300000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 25045121 is divided by 1361?\nAnswer: 1360","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) be the second derivative of -a**4\/126 + 2*a**3\/21 + a**2\/3 + 54*a. Factor y(f).\nAnswer: -2*(f - 7)*(f + 1)\/21","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) = 3*q**2 - 76*q - 807. Let f be p(39). Calculate the highest common factor of 5841 and f.\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) = -d**3 - 23*d**2 + 266*d + 5397. What is f(-25)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 4 (base 13) to base 9\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1279, 2576, 3871, 5164, 6455, 7744, 9031?\nAnswer: 10316","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 27 - 24. Let b = -0.1 - -0.4. What is the closest to -1 in 4, b, x?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*v - 44867666 = 5*n + 66097350, -5*n - 3*v - 110965012 = 0. What is n rounded to the nearest one million?\nAnswer: -22000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) = 0*s**2 - 5*s**2 - s**2 - 4 + 8*s**2 + 9*s. What is the remainder when 249 is divided by i(-6)?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 185 a factor of 495985?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from eipicbj. What is prob of picking 2 i, 1 b, and 1 c?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) be the first derivative of -l**4\/4 + 14*l + 34. Let o be 2 + -4 + 3 - 1. Give d(o).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 15 divide 1612680?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is o in 2*o**3\/9 - 240896*o**2\/9 + 88446592*o\/9 - 8130856960\/9 = 0?\nAnswer: 184, 120080","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v**1)**22*v\/(((v\/(v\/(v*v**(5\/4))))\/v)\/v*v*v)*v*v*v\/(v\/(v*v\/(v*v**(-2\/9))*v)*v*v))\/((v\/(v*v**(-2\/9)\/v)*v)\/v*v**6\/v)**(-6\/11) assuming v is positive.\nAnswer: v**(10441\/396)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -7579, -7562, -7551, -7558, -7595, -7674?\n\"Answer: -2*y**3 + 9*y**2 + 4*y - 7590","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((sqrt(162)*-1)\/sqrt(3))\/sqrt(6)*-2)\/(sqrt(3) + sqrt(648)\/sqrt(6) + sqrt(9)\/(sqrt(6)\/sqrt(2))))**2.\nAnswer: 3\/16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 496*j**3 - 33*j - 3 wrt j.\nAnswer: 2976*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 2 (b) -1\/5 (c) 18 (d) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/6 in -2\/5, 5, 0.4, 2?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, -2533, -2103, -4 in increasing order.\nAnswer: -2533, -2103, -4, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*x + 23 = 15*n + 8*n, 7*n - 4 = 3*n + 5*x for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -1674 plus -77.1?\nAnswer: -1751.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) = 10*m + 1 + 18*m - 1. Determine c(1).\nAnswer: 28","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) = 6*y. Let g(p) = -p. Let l(q) = 5*g(q) + v(q). Let k(x) = -2*x**2. Determine k(l(s)).\nAnswer: -2*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 20850 is divided by 29.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) = 3*d + 3. Let c(j) = 2*j. Let z(r) = -5*c(r) + g(r). Let x(n) = -13*n + 12 - 21 + 4 + 10. Determine -4*x(t) + 7*z(t).\nAnswer: 3*t + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) = 14*h**3 - 129*h**2 + 180*h - 1369. Calculate b(9).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -9 + 14*s**2 - 10 - 4 + 36 wrt s.\nAnswer: 28*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -24*d - 550 = -33*d - 16*d for d.\nAnswer: 22","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) = 2*f. Suppose 3*m - 7 = 2. Let w(i) = 2*i - 4*i - m*i + 4*i. Calculate y(w(v)).\nAnswer: -2*v","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 344 minutes after 11:31 AM?\nAnswer: 5:15 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Does 1423 divide 219980147?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Divide 122 by 6.\nAnswer: 61\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 656637575?\nAnswer: 5, 11, 29, 137, 601","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0*z - 6*z + 2*z - 34*z to k + t*z and give t.\nAnswer: -38","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1164846?\nAnswer: 2, 3, 194141","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r**(1\/6)\/r*r**(-1))**(-2\/7)\/((r**(-2\/9))**20\/((r**(1\/12)*r)\/(r**1*r))) assuming r is positive.\nAnswer: r**(1021\/252)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q**(-1\/2))**(-2\/27)*q**(2\/3)*q*(q**(-11)*q)\/q assuming q is positive.\nAnswer: q**(-251\/27)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 227282236?\nAnswer: 2, 139, 337, 1213","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -509633 - 537982 = -15*q. Is q a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 11703?\nAnswer: 3, 47, 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4408041 is divided by 209904.\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 3 (base 5) to base 15\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 26244 and 54?\nAnswer: 26244","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 164320\/73 != 2251?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) = 6*j**3 + 14*j**2 + 41*j + 26. Let z(k) = 2*k**3 + 5*k**2 + 14*k + 9. Give 6*y(l) - 17*z(l).\nAnswer: 2*l**3 - l**2 + 8*l + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Are 0 and 476\/47 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 222053952.\nAnswer: 2, 3, 97, 11923","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) = -11*w - 2. Calculate the lowest common multiple of g(-2) and 12.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 2 - -7. Let n be (-58)\/(-8) + u\/12. Suppose g = 2*g - 4, 2*y + 2*g = n. Solve y = o + 3 + 2 for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1188743359 to the power of 1\/2, to the nearest integer?\nAnswer: 34478","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 9 - (-11 + 6) - (-4 + 40)?\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 19687574651 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let l be ((-2)\/(-5))\/((-3)\/(-15)). Let j(v) = 2*v**2 - 2*v - 2. Let b be j(l). Let c(t) = t**3 + 10*t**2 + 9*t + 3. Let o be c(-9). Sort o, b, 5.\nAnswer: b, o, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.4 in 0.3, -5, -6, 9, 25?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -157 - 203 = -8*y. Let g = -31 + y. Is g a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 132 divide 1829594?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_test"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 231 is divided by 87.\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 1 - y**2)*(-2*y - 3*y + 3*y) + 18 + 4*y**3 - 18.\nAnswer: 6*y**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*(sqrt(500) + 2) + (sqrt(80) - (5*(sqrt(80) - (sqrt(80) - (sqrt(80) + 0 + sqrt(80) + sqrt(80)))) - sqrt(80)))**2.\nAnswer: -10*sqrt(5) + 13518","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -12 (b) 3 (c) -2\/78661\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*m = -2*f + 170, 3*m - 262 = 2*f - 72. What is the least common multiple of 144 and m?\nAnswer: 720","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) = 7*l**2 + 10*l. Let p(x) = -3*x**2 - 5*x. Suppose 662 - 689 = -9*y. Determine y*q(d) + 5*p(d).\nAnswer: 6*d**2 + 5*d","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*s = 4*y - 2 - 43, 4*s - 24 = -4*y. Sort 2, y, -4, -5.\nAnswer: -5, -4, 2, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -6 (base 9) to base 12\nAnswer: -6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*i = -10 - 10. Let k be (-4)\/(-14) - (-24)\/(-84). Suppose 4*o - 5*o + 12 = k. What is the least common multiple of o and i?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -17\/13 or -2?\nAnswer: -17\/13","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 15 - (9 - 7) - 23?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 5, 0.4, 1\/6, -0.057, -3?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Put together -17717 and -178577.\nAnswer: -196294","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) = 2*j**2 + 5. What is the units digit of h(0)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 423 minutes before 10:22 AM?\nAnswer: 3:19 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) = 19*i + 8. Suppose 3*u - 27 = -6. List the prime factors of q(u).\nAnswer: 3, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 86672.38 nanometers to millimeters.\nAnswer: 0.08667238","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from raa. Give prob of picking 1 r and 1 a.\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b\/b**(1\/6)*b*b**(-2\/11))\/((b\/(((b\/(b*b**(3\/4)*b*b))\/b)\/b))\/(b*b*b*((b\/b**(-2\/11)*b)\/b)\/b)) assuming b is positive.\nAnswer: b**(-11\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) = -3*v**2 - 3. Let o(l) = -l**2 - 3*l**2 - l - 2 - 2. Let q(u) = -u**2 - u - 4. Let r be q(0). Let p(n) = r*o(n) + 6*m(n). Factor p(s).\nAnswer: -2*(s - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (31*m**2 + 65*m**2 - m**2)*(358*m**2 + 16*m + 143*m**2 - 16*m + 701*m**2) to the form x + f*m**4 + a*m**2 + d*m + k*m**3 and give f.\nAnswer: 114190","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Express (-7*f - 2 + 2)*(101 + 2*f**2 - 4*f**2 - 102 + 14*f) in the form b + s*f**3 + k*f**2 + r*f and give k.\nAnswer: -98","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 33 a factor of 34713?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) = 1. Let u be (-8)\/(-6) - 6\/(-9)*10. Let w(m) = 2*m**2 + 12*m + 18. Let v(l) = u*o(l) - w(l). Factor v(n).\nAnswer: -2*(n + 1)*(n + 5)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -z = 2, 0*z - 5 = f + 5*z. Suppose 100 = -f*g + 90. Let n = -4451\/6 + 739. Is n != g?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:01 AM and 8:08 PM?\nAnswer: 667","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Convert 38.6222 centimeters to millimeters.\nAnswer: 386.222","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13 + 2 = -l. Let x be (-984)\/16*-1*2. Suppose -l*g - x = -14*g. Does 41 divide g?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*s**5 + 5*s**5 + 0*s**5)*(0 - 1 + 4) - s**5 - 14*s**2 + 26*s**2 + 0*s**5.\nAnswer: 5*s**5 + 12*s**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-1 + 2)*2 - 3. Let q(i) = -15*i**3. Determine q(w).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2651687737 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:06 AM and 12:20 PM?\nAnswer: 254","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 46 and 20432326.\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 2602043 - -223?\nAnswer: 2602266","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) = -4 + 5*d - d**2 + 0 + 2*d**2. Let a(x) = 2*x**2 + 11*x - 8. Let t(k) = -3*a(k) + 7*m(k). Let h be t(-5). Solve -2 + h = 3*q for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 864561\/427 at least as big as 2024?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1175 and 1800.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -473\/84 - -40\/7. Let c(h) be the third derivative of 0*h**3 + z*h**4 + 0*h + 0 + 3*h**2. Let p(y) = y. Determine c(p(o)).\nAnswer: 2*o","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -139 + 153. Suppose -6*z + m*z - 32 = 0. Solve -z + 7 = -3*d for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 828 and 29246616.\nAnswer: 828","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is -8 bigger than -6?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000000736 to 7 decimal places.\nAnswer: -0.0000007","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 t and 2 r when four letters picked without replacement from {a: 4, r: 3, t: 2}.\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -18249 + 18085.93. Round l to the nearest ten.\nAnswer: -160","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1339 divided by -13548.\nAnswer: -1339\/13548","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 198387 is divided by 977.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -798, -986, -1298, -1734?\n\"Answer: -62*i**2 - 2*i - 734","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort -58749, -78, -4.\nAnswer: -58749, -78, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: (-741)\/228 - 6\/(-8)\nAnswer: -5\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (6\/35)\/((9\/(-42))\/((-65)\/(-130)))*130.\nAnswer: -52","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 = 7*w + 6. Let j be (4 - (3 + 20))\/w. Let s(x) = -x**2 - 9*x - 3. Let l be s(-8). Solve 0 = -5*p - 4*h - 4, 3 = -p - l*h + j for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1182 divided by -49059\nAnswer: -394\/16353","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 4545 (base 7) to base 11\nAnswer: 1270","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*v + 90 = 5*v. Let s be 4\/v + 14\/18. Suppose 4*o - 29 = 5*k, 2*k - 3*k - s = 4*o. Calculate the greatest common divisor of o and 5.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 2012535 + 3?\nAnswer: 2012542","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 35 - 29. What are the prime factors of m?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 272 and 16?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -s + x = -14, 0*x + 4*x = -s + 14. Suppose -d + s = -40. What are the prime factors of d?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -12254*n + 12261*n + 21 for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 66 - 19330?\nAnswer: -19286","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 3 a factor of 75131928?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Add together 0.13 and 6.77716.\nAnswer: 6.90716","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Determine n, given that n**2 - 5173569*n = 0.\nAnswer: 0, 5173569","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0.095 - 0.095. What is the second smallest value in -1\/13, h, -4?\nAnswer: -1\/13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:47 PM and 7:16 PM?\nAnswer: 149","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) = -j**3 + 6*j**2 + 9*j - 4. Let t be m(7). Suppose 0 = -4*c + 5*r + 10, 9*r + t = 2*c + 4*r. Sort -4, 3, c.\nAnswer: -4, c, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 4 + 11a1?\nAnswer: 11a5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 3228 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: What is the fourth biggest value in 0.255, 3, -3\/2, 4?\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -107\/94250 and 3\/1029500.\nAnswer: 13383500","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 2*a**5 - 512*a**4 + 1510*a**2?\nAnswer: 120*a**2 - 12288*a","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 113979.4 meters in millimeters?\nAnswer: 113979400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 6\/4*(-120)\/(-36). Suppose 13 = -4*s - 2*n - 17, -15 = -k*n. What is the nearest to -0.1 in -2\/15, -0.1, s?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-8)\/56*-1 - ((-1128)\/(-21))\/(-2).\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 92 + -11. What is the units digit of l?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 7.996146 tonnes?\nAnswer: 7996146000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 4802065?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) = -20*p**2. Let w(b) = -b + 507. What is w(s(a))?\nAnswer: 20*a**2 + 507","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in 1.927987 tonnes?\nAnswer: 1927987000000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 7.925203ns in microseconds?\nAnswer: 0.007925203","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 49 and 91?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {d: 5, l: 9}. What is prob of sequence ll?\nAnswer: 36\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 128055 is divided by 42677.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let c be ((-10)\/((-35)\/7))\/((-1)\/71). Let z = c + 134. Is z\/60 - (-21574)\/30 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -768*x = -548*x - 7920 for x.\nAnswer: 36","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5 + (1*sqrt(252) + sqrt(252))**2 - (sqrt(252) + sqrt(252) + -1*sqrt(252)*2)**2 - (0 + sqrt(252) + -1 + 5)**2)*-6 + -5.\nAnswer: -4475 + 288*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 567241.\nAnswer: 157, 3613","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) = k**3 + 7*k**2 + k + 3. Let u be 5*3*(-2)\/(-6). Suppose 0 = u*y + 3 + 27. Is g(y) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 28645141.\nAnswer: 7, 19, 37, 5821","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 - 6 = -n. List the prime factors of n.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*f**2 + 3*f**2 + 4*f**2)*(-f + 4*f + 0*f + (-2 + 0 + 0)*(11*f - 9*f - 9*f)).\nAnswer: 187*f**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: -193700 - 2075021\nAnswer: -2268721","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is seventeen quarters of a millimeter in micrometers?\nAnswer: 4250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 2\/9 - (-60)\/(-27). Let s(o) = -2*o**2 - 16*o - 13. Let f be s(-7). Suppose -7*w = -1 + f. Which is the third smallest value? (a) r (b) -0.4 (c) w\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) = 55*y**2 - 1428*y - 1431. Give c(-1).\nAnswer: 52","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 3 - ((-2)\/2)\/1. Suppose -m*v - 49 = -2*x - 13, 16 = -4*v. Sort 1, x, 5, -1 in increasing order.\nAnswer: -1, 1, 5, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 2140, 4278, 6414, 8548, 10680?\n\"Answer: -d**2 + 2141*d","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -5371*z**4 - 2082*z**3 - z**2 - 19*z + 407398 wrt z.\nAnswer: -128904*z - 12492","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 1497014 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) = 4*s**2 - s + 1. Let n be m(1). Sort -11, n, 9 in increasing order.\nAnswer: -11, n, 9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -93383\/10 + 9350. Find the common denominator of r and 1\/2*(-26)\/20.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3095 = -6*m + 10*m + 5*v, -3*v = -9. Is m a multiple of 41?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 44678 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -1455 - -5950. Calculate the lowest common multiple of 1305 and m.\nAnswer: 40455","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -77\/2903238 and 67\/21546?\nAnswer: 182903994","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -4\/9 + -1\/18. What is the nearest to -6 in n, 0.5, 1?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 99672 + -99668. Let n be (2 - (4 + -1))*0. Solve u*m + n*m - 20 = -4*g, 0 = g - 1 for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve j + 11 = -4*w, 4*w + 2*j = 15 - 25 for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence anq when three letters picked without replacement from ncnqnnncqnna?\nAnswer: 7\/660","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand 4 + 2 + 7*a**2 - 5 + (-3*a**2 + 2*a**2 + 0*a**2)*(2 - 3 - 1).\nAnswer: 9*a**2 + 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) = 3*h**3 + 56*h**2 + 78*h + 95. What is q(-18)?\nAnswer: -661","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-9)\/(126\/(-152)) - (-24)\/(-28).\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 893 by -71.\nAnswer: -893\/71","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*x**4\/7 + 62*x**3\/7 + 318*x**2\/7 + 450*x\/7.\nAnswer: 2*x*(x + 3)**2*(x + 25)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) = -u**3 - 45*u**2 - 1085*u - 33193. Calculate i(-39).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(245) + 1)*6 - sqrt(245))*-6 - (sqrt(245) + sqrt(245) + 1 + 0 + sqrt(245) - (-2 + sqrt(245) + 0)))**2.\nAnswer: 17472*sqrt(5) + 252401","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) = 18*t**3 + t**2 - 10*t - 160. Let k be m(7). What is the highest common divisor of k and 39?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) = -3*f**3 - 84*f**2 + 5*f + 30. Calculate m(-28).\nAnswer: -110","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 3.3? (a) 13 (b) -3 (c) 2\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) = t**3 + 8*t**2 - 11*t - 11. Is y(-8) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -q**4 + 2*q**4 + 3*q**4 - 2*q**4 - 4*q**3 + 4*q**3 + 0*q**4 - q**4 - q**4 + (-2*q**2 + q**2 + 0*q**2)*(q**2 + q**2 - q**2).\nAnswer: -q**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Express -6*n + 5*n + 2*n**2 - 4*n**2 - n**3 + 7*n**2 in the form h*n**3 + g*n + s*n**2 + t and give t.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 43 (b) -14094 (c) -1 (d) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) be the first derivative of -m**4\/2 + 32*m**3\/3 - 40. Factor q(k).\nAnswer: -2*k**2*(k - 16)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, -1676, -0.1, -31, -54 in increasing order.\nAnswer: -1676, -54, -31, -1, -0.1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -110011 (base 2) to base 7\nAnswer: -102","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -5 + 1 + 9\/(-2) + 135\/(-10).\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*l - 14 = 3*o, -5*l + 19 = -4*o - 3 for o.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) = -7*a**3 - 5*a**2 + 9*a + 20. Let t be p(-5). Let m = t + -723. Solve 5*q = m*q + 3 for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) be the first derivative of -w**4\/4 + w**3\/3 + w**2\/2 + 5. Let g be i(2). What are the prime factors of (-70)\/(-4) - g\/(-4)?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0 + 1. Let c = 16.5 - 11. Let w = -9.5 + c. Sort w, o, -5 in decreasing order.\nAnswer: o, w, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 505 + -518 - (1 + 51) - (-3 - -2)\nAnswer: -64","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 876042?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*u + 27 - 3 = 0. Let r be -3 + (u - -2) - 3. Solve -2*z - 1 + 5 = 3*n, -4*z = n - r for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3939b2 (base 15) to base 10.\nAnswer: 2746067","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 7.0563 weeks in microseconds?\nAnswer: 4267650240000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*k = 5*r - 10400 + 10420, 22 = -5*r + 3*k for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*z - 5*a = -83, 0*z - 5*a = z - 34. Suppose 2 - 4 = 2*i, -5*i = -k + z. Calculate the remainder when k is divided by 12.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 2 - -2. Suppose 20 = 2*m + 3*m + 5*r, 3*m + r - a = 0. Suppose 4*u - 2473 + 713 = m. Round u to the nearest one hundred.\nAnswer: 400","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 58*d - 55*d + 35*k + 34 = 146, 2*k = 4 for d.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -11 = -5*g + u, -351 = -99*g + 147*u - 142*u for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:35 PM and 9:07 AM?\nAnswer: 572","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -11*r**2*u**4 + 2*r**2*u**2 - 22*r**2 - 4*r*u**4 - 2*r*u**3 - r*u wrt u.\nAnswer: -264*r**2*u - 96*r*u - 12*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) = -w**2 + 13*w + 21. Calculate the remainder when x(13) is divided by 14.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.01595 to 3 decimal places.\nAnswer: 0.016","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 213 or 425\/2?\nAnswer: 425\/2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -73*d**5 + 4*d - 40 wrt d?\nAnswer: -1460*d**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v\/v**(2\/75))\/((v*v**34)\/v)*v**(-1\/45)\/(v**(-9)*v) assuming v is positive.\nAnswer: v**(-5636\/225)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10004 = -j + 5*j. Let u = 555335 + -4462789\/8. Let l = u + j. What is the common denominator of 17\/14 and l?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (13\/(-2))\/((26985\/1050)\/257)?\nAnswer: -65","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -4 + 2760\/84 + 126\/(-147).\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) = 2*n + 6. Let v be ((-20)\/30)\/((-2)\/(-15)). Let b be x(v). Let y(f) = 3*f**2 + 5*f + 5. Let a(r) = -2*r**2 - 4*r - 4. Give b*y(s) - 5*a(s).\nAnswer: -2*s**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify f*f**(-2\/31)*f*(((f*f*f**23*f)\/f)\/f*f)\/f*(f**(-2\/5))**(1\/3) assuming f is positive.\nAnswer: f**(11998\/465)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 90644 is divided by 3665?\nAnswer: 2684","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1*-8*-165*7\/(-280).\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -46515 and 2.775.\nAnswer: -129079.125","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Work out -1138.875 * -0.07.\nAnswer: 79.72125","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -4184, -8241, -12022, -15377, -18156?\nAnswer: -20209","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1 - -2) + -2 + -3.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-24)\/(-6*(-2)\/(-8)). Suppose -2*q - 11 = -q - g, 4*g = 2*q + p. Let i = -5 - q. List the prime factors of i.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (14\/147*18)\/((-3)\/(-98)). Calculate the highest common divisor of q and 749.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1107 + 1195 = -44*r for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 106039 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -3.7 - -0.7. Let b be 9\/(-6)*(-16)\/(-34). Let w = 2\/51 + b. Is t <= w?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) = 12 - 2*j**2 - 12 + 0*j**2. Let c(h) = 42*h**2. What is c(p(k))?\nAnswer: 168*k**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-8)\/(-32*13\/(-52)).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 1448 divided by 8\nAnswer: 181","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*(-2*sqrt(68)*1 - sqrt(68))**2.\nAnswer: 3672","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) = 19*l**2 + 1781*l. Let j(f) = 7*f**2 + 590*f. What is 8*j(v) - 3*t(v)?\nAnswer: -v**2 - 623*v","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -18 (b) 2 (c) -12.21\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_test"},"subset":"dm_maths"} +{"text":"Question: Put -14, -3, 12, 11, 2 in ascending order.\nAnswer: -14, -3, 2, 11, 12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 13968 to the nearest integer?\nAnswer: 118","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 892 + 484321\nAnswer: 485213","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {x: 4, j: 1, c: 2}. Give prob of picking 4 x.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*y - 5 = -6*y. Suppose 0 = -2*d + 3*n + 9, d - 14 = -2*d + y*n. Find the second derivative of 13*u**d - 20*u**3 + 12*u**3 + 11*u wrt u.\nAnswer: 30*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) = -196*l**2 + 8822*l - 35. Give z(45).\nAnswer: 55","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = h - 2*h + 6. Let v(z) = z**2 + 6*z + 8. Suppose 0 = s + y - 5*y - 6, 5*s = 2*y - 24. Calculate the smallest common multiple of h and v(s).\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 274143 and 165.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) = 11*j + 4. What is q(-7)?\nAnswer: -73","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 18837945 divided by 299015?\nAnswer: 63","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -2948d2 + 1a5?\nAnswer: -29472b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) = -9*b. Let a be u(-2). Suppose 13*i = a*i - 1655. Is i composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-seven fifths of a kilometer in meters?\nAnswer: 5400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 f, 1 i, and 2 b when four letters picked without replacement from {i: 5, p: 1, n: 2, b: 2, f: 2, j: 2}?\nAnswer: 10\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (f - 2*f + 0*f + (-5 + 2 + 2)*(-f - f + 3*f) - 3*f + f + 0*f - 2*f + 0*f - f)*(3*f + 4*f + 20*f + (-2*f + 4*f - f)*(-1 - 1 + 0) + 3*f - f - f).\nAnswer: -182*f**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -80 + 53. Let m be -1 - o - 2\/(-1). What is the highest common factor of 4 and m?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (5 - 39) + 42 + -21?\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 125 or -1275?\nAnswer: 125","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4633720?\nAnswer: 2, 5, 7, 13, 19, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -47 - -51. Suppose -q*n + 4 = -4*m - 0*n, 5*n = 5. Sort -17, -1, m.\nAnswer: -17, -1, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 22 is divided by 2.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1248882, -1248886, -1248890, -1248894, -1248898, -1248902?\nAnswer: -1248906","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 81 - 64. What is the smallest value in c, 3\/7, 2\/15?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) = -r**3 - 5*r**2 - 4*r - 1. Suppose -17 = 5*t - 92. What is the remainder when d(-6) is divided by t?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 39 to the power of 1\/2, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -233090 rounded to the nearest one hundred thousand?\nAnswer: -200000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in 1\/3, 0.3, -0.379, 0, 0.2?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Express -234*y + 116*y + y**3 + 118*y + 1 + 34*y**2 as z*y + s*y**3 + x + l*y**2 and give s.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1*10\/2)\/(((-18522)\/(-108))\/49).\nAnswer: 10\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*h + c - 6 = 0, 4*c + 7 - 4 = 3*h for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) be the third derivative of 73*b**8\/168 - 19*b**4\/3 - 125*b**2. Find the second derivative of s(c) wrt c.\nAnswer: 2920*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -220 - -11?\nAnswer: -206","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) = -2*v**3 - v**2 + 5*v + 3. Suppose -2 = -4*r - 10. Let w be f(r). Sort 1, -5, w.\nAnswer: -5, 1, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -1242 + -3454563?\nAnswer: -3456135","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) = -43*m**3 - 78*m**2 - 6. Let q(o) = -o**2 + 1. Let w be -7 + (-2 - 2 - -10). Let p(n) = w*h(n) - 6*q(n). Find the third derivative of p(c) wrt c.\nAnswer: 258","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*(sqrt(288) - -2*sqrt(288)).\nAnswer: -36*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let 33*z**2 - 17*z**2 - 28*z + 4*z**5 + 12 - 20*z**4 + 24*z**3 - 8*z**2 = 0. Calculate z.\nAnswer: -1, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*i = -3*i - 18. Calculate the remainder when 87 is divided by i.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*i = -3*i + 9. Suppose -9 = -6*f + i. Suppose p = 5*o + 52, -f*o = 2*p - 6*o - 128. Is p a multiple of 28?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify v*v**(-1\/2)*v*v\/v**0*v**1*v**(2\/13) assuming v is positive.\nAnswer: v**(95\/26)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9145*i**3\/6 - 36389*i**2\/6 + 17908*i\/3 + 382\/3 = 0. Calculate i.\nAnswer: -191\/9145, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2506?\nAnswer: 2, 7, 179","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 17354 to the nearest integer?\nAnswer: 132","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (21\/378*2)\/((-11)\/(-9))?\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (6\/8)\/(5\/4). Let v = 0 + 0.5. Let c = -5 - -5. What is the smallest value in q, c, v?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 163.769 meters to centimeters.\nAnswer: 16376.9","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -44 (base 12) in base 7?\nAnswer: -103","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1 by 3073.\nAnswer: -1\/3073","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 less than 0.311?\nAnswer: 2.311","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00047525319 to 6 dps.\nAnswer: 0.000475","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) = 47*z**2 - 18*z + 3. Let h(j) = -j + 4 - j - 6 + 21*j**2 + 4 - 7*j. Let q(s) = 9*h(s) - 4*m(s). Calculate q(6).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -474 - -479. Let y(x) be the first derivative of 0*x**5 + 0*x**4 + 10\/3*x**3 + 0*x**2 - q + 0*x + 5\/6*x**6. What is the third derivative of y(m) wrt m?\nAnswer: 300*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3*-0.0759\nAnswer: -0.2277","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) = -3*c**3 + 2*c. Let h be b(0). Let d be (0 + 3\/(-6))*(-39 + h). Which is smaller: d or 20?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7063 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-2*j + 0*j + 4*j)*(3 - 1 - 4) - 7 + 7 + 3*j)*((3*j - 4*j + 3*j)*(-2*j**3 + 4*j**3 - j**3) + j**4 + 4*j**4 - 3*j**4).\nAnswer: -4*j**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand u - u + 2 + u + 2*u - 2*u - 2*u + (5 - 5 - 17*u)*(6 - 7 - 3).\nAnswer: 67*u + 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-3 - (-8 - -5 - -6)) + 2?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j*j\/(j*j**(-2\/3)*j))**(19\/5)*j\/(j**(-2\/7)*j*j*j*j*j)*j*j**(1\/3)*(j**5*j*j\/(j*j*j**(2\/13)))**18 assuming j is positive.\nAnswer: j**(119278\/1365)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*p**2\/3 + 4628*p\/3 - 1542.\nAnswer: -2*(p - 2313)*(p - 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 61 or 65?\nAnswer: 65","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 264 and 154?\nAnswer: 1848","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 1677 (base 8) to base 6\nAnswer: 4235","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*u - 58 = 4*n, 4*u - n - 44 = -4*n. Let x = 28 + -28. Suppose x = 10*g - 8*g - 10. Solve -5*m + 16 = -w, 3*m + 0*m = g*w + u for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-4)\/(-6)*12\/8\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -3171191 divided by -5\nAnswer: 3171191\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 604271683 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Express -22 + 21 + 1127*v + 224*v in the form i + j*v and give j.\nAnswer: 1351","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 86*v**3*x**3 + 120691*v**3*x + v**3 + v**2 + 60673*v wrt x.\nAnswer: 258*v**3*x**2 + 120691*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1330 = 6*l + 8*l. Is 5 a factor of l?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -234 by 39.\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-5 - 1)*14\/(-3). Suppose -2*p - j = 28. What are the prime factors of -10*(p\/8 - -1)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1*0.324\nAnswer: 0.324","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -413 divided by -133?\nAnswer: 59\/19","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) be the third derivative of -3*g**6\/220 - 49*g**5\/330 - 71*g**4\/132 - 31*g**3\/33 - g**2 + g. Suppose j(o) = 0. What is o?\nAnswer: -31\/9, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(637) - 2*sqrt(637))**2 + (sqrt(13) + (sqrt(13)*1)**2 - sqrt(13)) + 5 + sqrt(65)\/sqrt(405).\nAnswer: sqrt(13)\/9 + 655","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) = 5*g - 6. Suppose -o - 12 = o. Let b(q) be the second derivative of 11*q**3\/6 - 13*q**2\/2 - 4*q. What is o*b(v) + 13*r(v)?\nAnswer: -v","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) = 1. Let g(y) = -3*y**3 - 18. Let t(q) = q + 9. Suppose -2*x + 11 = -7. Suppose -5*p + x*p = -40. Let c be t(p). What is c*g(m) - 18*d(m)?\nAnswer: 3*m**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 396347 to the nearest integer?\nAnswer: 73","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5512 = m + s + 5498, 4*m = 4*s + 72. Let b be -2 - (-1 - -2)*-258. What is the highest common divisor of b and m?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*g**2 - 96*g + 180.\nAnswer: 3*(g - 30)*(g - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 1108 - 992. What is the tens digit of s?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -32.974 - -33. Let w = g + 3.874. Which is smaller: w or -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 413 = -19*w + 187 - 116 for w.\nAnswer: -18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17 + 19 = -3*p. Let a be (8\/(-10))\/(p\/(-30)). What is the units digit of 24\/3 - (-5 - a)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 544 = 2*l - 5*v + v, 4*l - 4*v - 1072 = 0. Does 34 divide l?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-694 + 0*n + 763 + n)*(-n**2 + 4*n**2 - 4*n**2) in the form j*n + l*n**2 + r*n**3 + i and give l.\nAnswer: -69","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence vv when two letters picked without replacement from {q: 1, o: 1, v: 3, y: 2, t: 2, e: 3}.\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) = -7*g**2. Let p(m) = -13*m**2. What is q(p(x))?\nAnswer: -1183*x**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 5*(-6)\/(-40)*28\/189.\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 134029?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3 + sqrt(216)\/(sqrt(64)\/sqrt(8)))**2.\nAnswer: -18*sqrt(3) + 36","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*b = -3 - 5. Let k be (-4 + 7)\/(b - 3). Sort 1, k, 5 in ascending order.\nAnswer: k, 1, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-4)\/6*(-6)\/4. Suppose 2*z = -3*l, 3*l + 3*z + 3 = -0*l. Let x(i) = -3*i + i + i + l*i**2 + 2*i. Determine x(c).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -210 = -20*n + 10*n. What is the remainder when 239 is divided by n?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.0232 * -6\nAnswer: 0.1392","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 2437121 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Does 56 divide 976?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 354 minutes before 7:26 AM?\nAnswer: 1:32 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -14544 - -4404?\nAnswer: -10140","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2\/5? (a) -23\/2 (b) -5 (c) -4\/5 (d) -285 (e) 6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.03 and 4462.85.\nAnswer: 133.8855","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1913 is divided by 92?\nAnswer: 73","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) = 4*h**2 + 493*h - 14142. Determine j(24).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 5 - -5. Let x be (-1 - 1) + 1 + 8. Suppose x*w - 4*w - 9 = 0. Solve q - w*q = -p for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*h = 4*q - 858, 3*h = -q + 83 + 127. Calculate the highest common divisor of q and 27.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 n and 1 i when two letters picked without replacement from {f: 4, n: 1, r: 1, i: 3, x: 6, b: 3}?\nAnswer: 1\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) = -3*l**2 + 79*l + 40. Let b(p) = 419*p**2. Give i(b(k)).\nAnswer: -526683*k**4 + 33101*k**2 + 40","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (7*t**2 + t**4 - 10*t**3 + 7*t**2 - 19*t**2)*(-5 + 2 + 2)*(7 + 3 + 5).\nAnswer: -15*t**4 + 150*t**3 + 75*t**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 708 - 603 = -5*p for p.\nAnswer: -21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 3474 take away -0.03?\nAnswer: 3474.03","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) = -w**2 + 25*w - 200. Calculate f(19).\nAnswer: -86","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) = -8*w**2 + 8*w + 4. Give b(8).\nAnswer: -444","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 110 - 109.7. Let r = 22.04 - 17. Let y = -0.04 + r. Which is the biggest value? (a) i (b) y (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 738 a multiple of 18?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:27 AM and 3:32 AM?\nAnswer: 185","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 9368*c**3*u**3 - c**3 + 8*c - 84 wrt u.\nAnswer: 28104*c**3*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(114)*3 - sqrt(114))*-3)\/(-2*sqrt(726)) - (6*sqrt(19)*2 - (sqrt(171) + 2)**2).\nAnswer: 3*sqrt(19)\/11 + 175","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -799 + 1276. Does 6 divide t?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 4549936 by -398.\nAnswer: -11432","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 260*h - 392*h + 3696 = 0 for h.\nAnswer: 28","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 891940 and 92.\nAnswer: 92","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify f**(9\/7)\/(f\/(f\/(f\/(f**(-2\/5)\/f)))) assuming f is positive.\nAnswer: f**(-39\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {r: 2, n: 7}. Give prob of sequence nn.\nAnswer: 7\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 2332785547 to the power of 1\/3, to the nearest integer?\nAnswer: 1326","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -674*d = -644*d + 554 - 134 for d.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-5580)\/(-558))\/((-2)\/(-2)*-1)?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) be the second derivative of i**6\/3 - 9*i**5\/5 + 523*i**3\/6 - 1420*i. What is the second derivative of m(b) wrt b?\nAnswer: 120*b**2 - 216*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.4 and 225.89.\nAnswer: 90.356","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let x be -2 - (-1 + -4 + -1). Suppose 0 = -4*u - 5*m + 14, -x*u - 2*m + 2 = -3*m. Solve 4*n = 9 - u for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) = b - 6. Let o be x(0). Let h(n) = 2*n + 9. Let r be h(o). Sort 0, r, 3.\nAnswer: r, 0, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 94988 less than 129?\nAnswer: -94859","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 386981.3822388 - 36.3735388. Let v = 386807 - q. Let r = 138 + v. Round r to three dps.\nAnswer: -0.009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 1 - 1)*(-5*x + 2*x**3 + 5*x) + 6*x**3 - 52*x**3 + 3*x**3.\nAnswer: -45*x**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 0 (b) 40 (c) 1 (d) -1 (e) 30\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4\/3*j**3 + 0 + 4\/3*j + 2\/3*j**4 - 2\/3*j**2.\nAnswer: 2*j*(j - 2)*(j - 1)*(j + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 1762*a - 10 + 8 - 237*a**2 - 1762*a + 4 as k*a**2 + p + u*a and give p.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*g = 2*x + 2*x, 2*x = g. Suppose x = -w - w + 38. What are the prime factors of w?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*j + t - 1345 = 0, -9*j + t + 3040 = 6*t. Calculate the highest common divisor of j and 40.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 441, 199, -0.1, 3, 0.3, 2 in ascending order.\nAnswer: -0.1, 0.3, 2, 3, 199, 441","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -22 - -26. Let s(u) = -u**3 + 5*u**2 - 5*u + 6. Determine s(x).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -1318, -1318, -1320, -1324, -1330, -1338, -1348?\n\"Answer: -d**2 + 3*d - 1320","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 1779 - -129?\nAnswer: 18a4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -7114*p**3 + p**2 + 19041*p wrt p?\nAnswer: -42684*p + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*g**2 - 3226*g - 52128 = 0 for g.\nAnswer: -16, 1629","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4*-1532.\nAnswer: -6128","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) = -t + 10. Let w be a(7). Suppose -4 = 4*c - 20, 0 = -q + w*c - 11. What is the units digit of q?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -21, -30, -51, -90, -153, -246, -375, -546?\n\"Answer: -s**3 - 2*s - 18","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*j**2 + 0*j + 0*j)*(1 - 3 + 1) + 3*j**2 + j**2 + 5*j**2 + 7*j**2 - 203*j + 203*j.\nAnswer: 14*j**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.1 and 22.6.\nAnswer: -2.26","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-36)\/20)\/3*28\/42.\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) = -4*d. Let l(g) = -10*g + 6. Let c(u) = u - 1. Let x(h) = 6*c(h) + l(h). Calculate x(t(v)).\nAnswer: 16*v","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) = -f**3 - 4*f**2 + 2. What is h(-3)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 4799 (b) 4 (c) -0.11 (d) -0.3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (55*c**3 + 17 - 110*c**3 + 52*c**3)*(c + 2*c + c + c - 2*c - c + (2 + 0 - 1)*(c + c - c) + 0*c + c - 2*c + (-c + 0*c + 0*c)*(7 + 1 - 1)).\nAnswer: 15*c**4 - 85*c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: (1\/5)\/(108\/(-1170)*-13)\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {a: 1, b: 1, j: 1, d: 6}. What is prob of sequence jdda?\nAnswer: 5\/504","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -130 + 50 + 50 + 30 + 8400*i.\nAnswer: 8400*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-4932)\/(-30414) - 2104\/(-1628). Solve o*f**3 - 16\/11*f + 0 + 2\/11*f**2 - 2\/11*f**4 = 0.\nAnswer: -1, 0, 1, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 171 minutes before 12:13 AM?\nAnswer: 9:22 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: ((-20)\/35)\/(2\/(-7))\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 620416 is divided by 399?\nAnswer: 370","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 35557 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: What is next in -1428, -1422, -1414, -1404, -1392, -1378, -1362?\nAnswer: -1344","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1615 is divided by 507.\nAnswer: 94","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -3\/4 (b) 1\/5 (c) 2109 (d) -0.048\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*r - 14 = -2*b + 4*b, 2*r + 26 = -5*b. List the prime factors of (586\/4*-1)\/(2\/b).\nAnswer: 293","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 697 + -697.2. Let p = 37\/3 + -12. What is the nearest to 0 in p, 1, g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2\/15? (a) -4 (b) 7\/5 (c) -1\/3 (d) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {r: 2, p: 9}. Give prob of picking 1 r and 2 p.\nAnswer: 24\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) = x**2 + 4*x - 5. Let c(w) = w**3 + 12*w**2 + 2. Let g be c(-12). Suppose 5*u + 21 = -f - 3, 0 = -5*u - g*f - 23. Determine m(u).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1935 = -9*f + 1845. What is the greatest common divisor of f and 120?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 65\/456 and -19\/12.\nAnswer: 456","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 15775, 32186, 48611, 65056, 81527, 98030?\n\"Answer: r**3 + r**2 + 16401*r - 628","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_test"},"subset":"dm_maths"} +{"text":"Question: Is -19037 greater than -19037?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*h - h + 5*h)*(5 - 3 - 4)*(6*h - 4*h + 6 + 0*h).\nAnswer: -4*h**2 - 12*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -50472, -101014, -151556, -202098, -252640, -303182?\n\"Answer: -50542*c + 70","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 0 - 221012211101?\nAnswer: -221012211101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 115 minutes after 8:19 AM?\nAnswer: 10:14 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) = 16*f - 451. Determine g(29).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -14054319 divided by -3?\nAnswer: 4684773","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -12*j - 79*j - 15*j + 106*j - j**3.\nAnswer: -j**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*-1*1*sqrt(153))\/(1*sqrt(324) - 2*sqrt(36)).\nAnswer: sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 57 + -57.2. What is the closest to 2\/9 in 0.3, -4, j?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 0.1 - 0.1. Let g = -99.8 + 100. Let j = g - s. Put -2, 5, j in decreasing order.\nAnswer: 5, j, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) be the third derivative of 1\/12*p**4 + 37*p**2 + 11\/2*p**3 + 0*p + 0. Differentiate k(d) wrt d.\nAnswer: 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6*o - 6601*o**2 - 2*o + 2*o + 6*o + 6611*o**2.\nAnswer: 10*o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -41\/128 and -29\/89348.\nAnswer: 2859136","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) = 5*k**2 - k - 3. Let o(n) = -n**3 + n - 1. Let p(y) = -o(y) - x(y). Let z be (-32 - -52)\/(-6 + 11). What is p(z)?\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p*p*p\/p**0*p)**(1\/38)\/(p**(-1\/2)*p**(-2\/15)))**4 assuming p is positive.\nAnswer: p**(842\/285)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 3*m**3 + 1283*m**4 + 1210*m - 3*m**3 + 44*m**5 - 17*m**5 - 1241*m**4 wrt m?\nAnswer: 540*m**3 + 504*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -3442 + 3445. Let p(o) be the second derivative of -o**3\/3 - o**2\/2 + 3*o. Let h(k) = 4*k + 2. Determine w*h(c) + 7*p(c).\nAnswer: -2*c - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Divide -10762375 by 22375.\nAnswer: -481","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.2 + -13229607.\nAnswer: -13229607.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 1563 less than or equal to 461388\/295?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-11 + (-1 - 3) - (9 - 19)) + -18?\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 746.4593 decades?\nAnswer: 89575.116","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 121373*b**2*z**2 + 2*b**2 + 2883*z**2 + 61*z wrt b.\nAnswer: 242746*b*z**2 + 4*b","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -107395 (b) 0.2 (c) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -5 + 4. Let x = k + 5. Suppose -4 = x*s, 0*u + 2*u = -3*s + 11. Is u composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: -15 - (20 - (33 + 61))\nAnswer: 59","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) = -2*u**3 + 8*u - 2. Let b(f) be the first derivative of 1\/2*f**2 + 0*f - 3. Give 10*b(r) - v(r).\nAnswer: 2*r**3 + 2*r + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -121*p + 119*p + 165*p**3 + 285*p**3 - 117*p**3 to r*p**3 + f + q*p**2 + s*p and give r.\nAnswer: 333","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-15)\/(-6)*4\/5. Let i = 2 - 4. Let k = -1 - i. What is the closest to q in -0.2, -2\/7, k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 17 + (87 - 63) + -2?\nAnswer: 39","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*z + v - 25 = 0, 3*z = 4*z - 5*v - 22. Let u(y) = 6 - 2 - z + 8*y. Determine u(2).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) = z**3 - 3*z**2. Let j be b(3). Let c be ((-2)\/4)\/((-1)\/(-2)). Let f be 1*(j + c - 0). Is 0 smaller than f?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -46906 - -10906. Round w to the nearest 10000.\nAnswer: -40000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1585*u = -1579*u - 1152. Calculate the highest common divisor of u and 6.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) = 8*s**2 - 3*s. Let j be z(2). Let u be 2*-1*(-30)\/4. Let a be 3\/u - (-1296)\/20. What is the highest common factor of a and j?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -76, -316, -720, -1288, -2020?\nAnswer: -2916","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 399*d - 9870 = 405*d. Let s = -684 - d. What are the prime factors of s?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16*y + 316 + 52 = 0. Let p be ((-1)\/(-2))\/(y\/414). Let o(z) = -z**3 - 2*z**2 - 3*z - 3. Let h be o(-2). Calculate the highest common factor of h and p.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*(sqrt(7) + 5) + -5 + 1)**2 + (sqrt(63) - (sqrt(252)*2 + sqrt(252))\/sqrt(4))\/(sqrt(45)\/sqrt(5)*5).\nAnswer: 568*sqrt(7)\/5 + 424","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -24 - -4?\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((5 + 0 + sqrt(1573) + 1*(5 + sqrt(1573)))*4*2)**2.\nAnswer: 28160*sqrt(13) + 409088","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 30 a factor of 475*(-6 - 72\/(-10))?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -489 + 1013. List the prime factors of k.\nAnswer: 2, 131","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 2\/(46\/(-16) + 3). Suppose 0 = 3*o + 2*r, 2*o - 3*r - d = r. Solve -3 + o = -x for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 67291 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Round -402.99373 to the nearest one hundred.\nAnswer: -400","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 1828876393 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -754283*g**3 - g + 693926.\nAnswer: -2262849*g**2 - 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: -1805 * -5\nAnswer: 9025","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-6)\/9 + (-5)\/(-30))*-10?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 = -3*h + 2*j, 5 = -h + 6*h - 4*j. Suppose -4*r - r - 5*w - 15 = 0, 4*r = 2*w. Sort 2, h, 5, r in ascending order.\nAnswer: r, h, 2, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 14\/(-14)*(-1)\/((-1)\/(25\/(-15)))\nAnswer: 5\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -17\/2 - -11. Let w = -5.7 - -6. What is the biggest value in w, s, 0.4?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -902 + 1809 + 378*k**2 + 187*k**2 - 901 + 377*k**2 to m + h*k**2 + i*k and give h.\nAnswer: 942","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -87 + (-4 - (-40 + -51)).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*g**2\/11 - 24*g\/11 - 5\/11.\nAnswer: (g - 5)*(5*g + 1)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 407055 to the power of 1\/4, to the nearest integer?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Does 10 divide 7855700?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1282081 and 8?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (p**4 - 5*p**4 + 5*p**4)*(-3 + 3 - 2*p) - 9*p**4 + 9*p**4 - 4*p**5.\nAnswer: -6*p**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Are 22960 and 22978 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*r - 2*i = -8 + 40, 2 = 3*r - 5*i. Let j(q) = q**2 + 8*q + 8. Give j(r).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/3 in -0.1, -0.3, -0.5, -4?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 552*f + 435*f + 4939 + 4931 for f.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in 1\/3, -10, -1\/2, -2\/11, 0.8?\nAnswer: 0.8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 smaller than -203033.73?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (10\/(1230\/(-3)))\/((-1)\/2).\nAnswer: 2\/41","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Add together -1080 and 9.\nAnswer: -1071","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 2 times -605486.8\nAnswer: -1210973.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 356958887 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*n**4 - 27*n**3 + 2*n**4 + 38*n**3)*(-4*n + n + 5*n).\nAnswer: -4*n**5 + 22*n**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 2055713 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -38831 - -620655\/16. Let u = h - -40. What is the smallest value in 2\/3, -1\/6, u?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -8*j - 12*j + 7860. Is j composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 16, 100, 326, 766, 1492, 2576, 4090, 6106?\nAnswer: 8696","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 3*y + 4*j - 23, -385*y - j - 4 = -381*y for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let h be ((-3)\/(-3 - -4) + 4)\/(-5). What is the second biggest value in -2, h, 1\/12, 0.1?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) = -8*l - 3. Let r(x) = -8*x + 20*x + 7 + 5*x. What is 13*j(b) + 6*r(b)?\nAnswer: -2*b + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -4 + 9. Suppose k = -3*r + 5, q*r + 5*k = -3 - 2. Solve 0 = r*o + 3 - 12 for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*j - 28 = -4*c, 4*j - c + 12 = c for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-6)\/(-2 - -1) - -3. Calculate the least common multiple of 8 and 3 + 1 + u - -1.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: -4 times -40324535\nAnswer: 161298140","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -489*g*o**2*t + 4*g*o*t + 39*g*t + g + o**2*t - 3226284*o**2 wrt g?\nAnswer: -489*o**2*t + 4*o*t + 39*t + 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Does 5 divide 99091944?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*v**5\/3 - 40*v**4\/3 - 146*v**3\/3 + 36*v**2 + 240*v = 0. Calculate v.\nAnswer: -15, -4, -3, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20*n - 12*n - 24 = 0. Which is bigger: -3\/5 or n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 625, 693, 893, 1297, 1977, 3005?\nAnswer: 4453","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 78013?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*f + 119*f - 7*f**3 - 320*f + 102*f + 95*f.\nAnswer: -7*f**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 41 - 9 = -8*f. Let g be (-7 - f)*(76\/(-36) - -2). Which is bigger: g or 0.97?\nAnswer: 0.97","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) be the second derivative of -17*x**4\/3 + x**3\/6 - 363*x**2\/2 + 8*x - 5. Find the first derivative of u(r) wrt r.\nAnswer: -136*r + 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 9211296 is divided by 67?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -10 + 10 - (-2 - -3).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: (33\/396)\/(1\/12)\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) be the second derivative of 0 + 1\/2*s**2 + 1\/12*s**4 - 1\/3*s**3 - 6*s. Let h be c(3). Solve 15 = h*i - 7*i for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 1 and 33977.21.\nAnswer: 33977.21","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 218*y + 43*y + 485*y + 255*y.\nAnswer: 1001*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 3104114086 to the power of 1\/3, to the nearest integer?\nAnswer: 1459","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.1? (a) -1 (b) -2\/7 (c) 4 (d) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 1 + 1)*(3 - f - 3).\nAnswer: -f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -46? (a) -21 (b) 2\/9 (c) 0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) = -229*z**4 + 9*z**3 - 9*z**2 + 4. Let n(p) = 229*p**4 - 6*p**3 + 10*p**2 - 4. Let k(u) = -2*d(u) - 3*n(u). Find the third derivative of k(t) wrt t.\nAnswer: -5496*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 52\/(-21) - 8\/(-7).\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 79123 and 40403.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -166 - -170. Suppose 2*o - 61 = -u, 2*o + 73 = v*o - 3*u. What is the remainder when o is divided by 16?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 8\/(728\/49) - -1 - (3 + -1).\nAnswer: -6\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 - 10 = -4*u. Let k(n) = 4*n**2 + 2*n**2 - u*n**2. Let d(j) be the third derivative of -j**5\/4 + 6*j**2 + 3*j + 14. Give d(k(w)).\nAnswer: -135*w**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -15\/19 in 3, -10, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(78)\/(2*sqrt(150)).\nAnswer: sqrt(13)\/10","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.1 minus 162.5?\nAnswer: -162.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find g, given that 45885*g**5 - 181775*g**4 - 7070*g**3 + 40*g**2 = 0.\nAnswer: -1\/23, 0, 2\/399, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) = -7*g - 7. Let i(w) = 10*w + 10. Let a(c) = 7*h(c) + 5*i(c). Let k be a(-3). Does 11 divide (k + 4)*67 + -1 + -1?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) = j. Let h(d) = 3420796*d. Give l(h(w)).\nAnswer: 3420796*w","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0*n**2 - n**2 + 0*n**2 + (-4*n + 5*n + n)*(-3*n - 3*n + 3*n + 2) to z*n**2 + f*n + h and give z.\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) be the second derivative of 2*p**4\/3 + 27*p - 914. Let r(f) = -6*f**2 + f**2 + 22*f**2. Determine o(r(y)).\nAnswer: 2312*y**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 11 + 3 + 94*f**2 - 14 + 43*f**4 wrt f.\nAnswer: 1032*f","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -5 - 355dd?\nAnswer: -35604","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 778870.\nAnswer: 2, 5, 71, 1097","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*u = -7*c + 14, 0 = 3*u - 157*c + 155*c + 4 for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Work out -2 * -0.0415.\nAnswer: 0.083","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose n - 5*u = 2*n - 20, n = 4*u + 20. Let y = n - -1. Differentiate -23 - y*l**4 + 5 + 14 wrt l.\nAnswer: -84*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-40 - (2 - 37)) + 34.\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, 2, 3, -4, 5 in descending order.\nAnswer: 5, 3, 2, -4, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 0 - (1 + (10 - 13))\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((-1 + 1 + sqrt(180) + sqrt(180) + sqrt(180) + sqrt(180))**2 + -1 + (sqrt(180) - ((sqrt(180) - sqrt(180)*3)**2 - sqrt(180))))*6 + 0)*2.\nAnswer: 144*sqrt(5) + 25908","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 1291318700 rounded to the nearest 1000000?\nAnswer: 1291000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, -12225, 0 in decreasing order.\nAnswer: 2, 0, -12225","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) = -11*d - 29. Let f be a(-3). Suppose f*q = -i + 25, -3*q + 0*i = i - 20. Suppose -31 = -q*k + l, 5*l - 26 = -2*k + 2*l. Solve 3*s = k*s + 12 for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) be the first derivative of -f**6\/180 + f**4\/12 - 2*f**3\/3 - 4. Let r(s) be the third derivative of q(s). Factor r(b).\nAnswer: -2*(b - 1)*(b + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -3? (a) 0 (b) -2 (c) 43 (d) 1\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 527 + -222. List the prime factors of c.\nAnswer: 5, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence hhg when three letters picked without replacement from {g: 7, h: 9}.\nAnswer: 3\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 139969222 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many hours are there in 5\/8 of a week?\nAnswer: 105","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 60757 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.2, 5, -7\/6, -1\/5, -3\/2 in descending order.\nAnswer: 5, 0.2, -1\/5, -7\/6, -3\/2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 18815 + 5316. What is the tens digit of x?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 0 - -10. Suppose -3*z + z - d = 0. Put -1, z, 5 in ascending order.\nAnswer: z, -1, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-4)\/18 + 3108\/378. Suppose -v*a = a - 36. What is the biggest value in 0.2, 3\/4, a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*q - 74 = -5*v + 3*q, 4*v - 58 = 2*q. Suppose 10*s - 15 = v. What is the third biggest value in -27, s, 2\/3?\nAnswer: -27","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be -2*8\/(-4) - (2899\/(-325) + 13). What is the fourth biggest value in 0.013, 3, t, 4, -0.4?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum -4 and -11.48.\nAnswer: -15.48","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 2\/(3 - 23) - 3\/(-5). Let a = -20048 - -20050. Factor 3\/2 - l*k**a + k.\nAnswer: -(k - 3)*(k + 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, 15, -5, 3685, -158 in ascending order.\nAnswer: -158, -5, -3, 15, 3685","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -7 - -7. Let v = 0.3 + -0.2. Let k = v - -0.3. What is the nearest to w in -2, k, 2\/7?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find v such that 198*v**4 + 12*v - 25*v**3 - 47*v**3 - 183*v**4 + 45*v**2 = 0.\nAnswer: -1\/5, 0, 1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 13.6 + -82.6. Let v = o - -68.923. Let b = 3.623 - v. What is b rounded to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*z = -0*z + 15. Let p(q) = 3*q - 19 + 3 - 7 + q + 6. Let y be p(z). Let s(f) = -f - 2. Let w(a) = a + 3. Determine y*w(j) - 6*s(j).\nAnswer: j - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*c - 4*n = -58, -7*c - 14837*n + 14836*n = -177 for c.\nAnswer: 25","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) = -23525*s + 4 + 23533*s - 1 + 0 + 1. Let n(d) = 69*d**2. Give n(u(t)).\nAnswer: 4416*t**2 + 4416*t + 1104","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) = -5*p + 5 - 3 + p + 5. Let t(b) = -9*b + 15. Let k = 14 + -8. Determine k*t(r) - 13*q(r).\nAnswer: -2*r - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 14 + 2 + (-24 - -8) + 8 + -7?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put together 4525700 and 33228.679.\nAnswer: 4558928.679","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.4 and -13.3.\nAnswer: -5.32","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 106348 to the power of 1\/3, to the nearest integer?\nAnswer: 47","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) = -h**3 + 3*h**2 + 3. Suppose 3 = -2*f - 3. Let q(k) = -k**3 + 2*k**2 + 2. What is f*q(p) + 2*z(p)?\nAnswer: p**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 24 a factor of 1087411?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find i, given that -11*i**5\/6 - 76*i**4\/3 + 13*i**3\/2 + 76*i**2\/3 - 14*i\/3 = 0.\nAnswer: -14, -1, 0, 2\/11, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 2558506 to the nearest integer?\nAnswer: 137","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:23 AM and 5:14 AM?\nAnswer: 111","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 369159.\nAnswer: 3, 7, 17579","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 63160?\nAnswer: 2, 5, 1579","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 8697 - 8668. Let w be ((-4)\/(-5))\/((-3)\/15). Let a be 2 + (-228)\/(w - -2). Calculate the highest common factor of a and t.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1579?\nAnswer: 1579","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 47024243 to the power of 1\/4, to the nearest integer?\nAnswer: 83","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 8 and 6\/(-3) - (-2 - 12).\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 14 + -13.76. Let m = w + 4.76. What is the second biggest value in 0, 1, m?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) = 7*r**2 + 775*r + 13535. Give t(-89).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) be the third derivative of -5*u**4\/24 + u**2. Let p(c) = -c**2 - c - 1. Let x(n) = -3*n**2 - 2*n - 2. Let l(k) = 2*p(k) - x(k). Calculate v(l(i)).\nAnswer: -5*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 20 a factor of 10737080?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:04 AM and 3:55 AM?\nAnswer: 171","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 5, -5, -579\/5, 3\/5, 1?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q*q**(-14)*q)\/(q**9\/q)*(q\/(q*q\/q**(2\/25)))\/(q\/q**(-11\/3)))**(-6\/13) assuming q is positive.\nAnswer: q**(3838\/325)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is (-2 - 22\/(-14))*(-3)\/9?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 8\/((-16)\/(-2))*-8.\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 2734\/3 + -54587\/60. Find the common denominator of i and -19\/18.\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 70 - 70. What is the nearest to 2\/3 in 1, 0.4, a?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) = c**2 - c - 4. Let u be o(-2). Suppose -4*k - 2*l = -u, -3*k + 5*l - 5 = -0*l. Solve k = -4*z - 10 + 14 for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (17 - 4 - 3 + (5 - 3 + 0)*(0 + 2 - 3))*(0*d + 0*d - d).\nAnswer: -8*d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) = -49*o**2 + 3 - 3. Suppose -333*r = -320*r - 3831698. Let p(a) = -294746 + r + a. What is p(v(c))?\nAnswer: -49*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 + 7 = 5*j + l, 2*l + 18 = 4*j. Suppose 5*p = 2*p. Let t = j + p. Solve 3*v = -i - t, -4*v = -v - 3*i + 6 for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-1041)\/694)\/(((-133)\/(-294))\/19).\nAnswer: -63","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*f = -4*f + 432. Let i(c) = c**2 - 4*c + 4. Let z be i(2). Suppose -3*b - 28 + 109 = z. What is the greatest common factor of f and b?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -107*h + 106*h + 0 = -2, 4*u + 16*h = 24 for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1048055607?\nAnswer: 3, 67, 163, 10663","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 y and 1 j when two letters picked without replacement from uujby?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(104)\/(sqrt(2) - 6*sqrt(6)\/sqrt(3))*4.\nAnswer: -8*sqrt(13)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 348\/(-18)*(-9)\/(-6)*-4. Let d = s - 115. Solve 3*c = -4*l - d, 5*c - l + 5*l = -7 for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose p + 4*p = 95. Let w = p - -7. List the prime factors of w.\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 444 = -50*x + 13*x. What is the third biggest value in x, -3\/13, -0.3?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 100100100100 + -1?\nAnswer: 100100100011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*s = -7*s - 88. What is the greatest common divisor of s and 22?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*v = -3*v + 120. Calculate the highest common divisor of v and 15.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -688, -1376, -2064?\nAnswer: -2752","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -67, -106, -215, -430, -787, -1322, -2071?\n\"Answer: -6*g**3 + g**2 - 62","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand -28*y + 28*y - 2*y**2 + (2*y + 2*y - 2*y)*(-133*y - 193*y + 167*y) + 3*y**2 + y**2 - 2*y**2.\nAnswer: -318*y**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 55872 divided by -9312\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 109, 101, 91, 79, 65, 49, 31?\n\"Answer: -o**2 - 5*o + 115","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -0.4, -122, -0.11, 1\/50, -1.8?\nAnswer: -0.11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) be the second derivative of l**4\/12 + 2*l**3\/3 - l**2 + 16*l. Determine s(-7).\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 96.05 times 4\nAnswer: 384.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Does 12 divide 180541236?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7784382 + 7784433 + 2*k**3 - 15568768.\nAnswer: 2*k**3 + 47","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 330092539 to the nearest integer?\nAnswer: 691","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20 = 3*t + 2*t. Let v = t + 9. Suppose 4*f = -3*z + 7 + 3, -v*f + 11 = 3*z. Solve -z*g - 16 = 2*g for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-6 - 2)*(21\/(-6))\/(-7). Does 8 divide 2260\/35 + l\/7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -79 + 131. Suppose -3*s = b - n, 2*b - 2*s + 4*s - 124 = 0. Is b a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -31424 at most 168\/17?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.2? (a) 2\/5 (b) 4\/11 (c) -0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -39424*-0.3.\nAnswer: 11827.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Convert 6 (base 12) to base 16.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-32976)\/1511400)\/(4\/(-11))?\nAnswer: 3\/50","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) = -p**2 - 11*p - 12. Determine c(-10).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*z + 2 + 3*z**2 + 8*z - 2*z**4 + z**4 - 8*z to s + k*z**4 + x*z**3 + u*z + j*z**2 and give k.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 55 to the power of 1\/3, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -24 = 2*q - 8*q for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 448 + -464. Let s(n) = 2*n**3 + 30*n**2 - 32*n + 19. Is s(k) a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose l = -3*l - 2*b - 2, -4*l = 5*b + 17. Let g be l - -8 - -1 - 1. Let q be ((-3)\/(-20))\/((-12)\/g). What is the second biggest value in q, 4, -2?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, 0.05, 3, 5, 1\/17 in decreasing order.\nAnswer: 5, 3, 1, 1\/17, 0.05","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 480.2199968099 - 480.22. What is c rounded to 7 dps?\nAnswer: -0.0000032","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, -246, -9, 8 in ascending order.\nAnswer: -246, -9, 4, 8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -f - g - 3*g - 12, 2*g - 6 = -2*f. Let l = 104 + -72. What is the highest common divisor of l and f?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*s + 3878 = 2*y, 4*s - 5148 = -0*s + 3*y. Is 50 a factor of s?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, 3, -8 in ascending order.\nAnswer: -8, -4, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 54751 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 3341 - 3327. Solve -h - 11 = -2*q, -9*q - h - 23 = -i*q for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2 + -2 + sqrt(112) + 0 + (-4 + 1 + sqrt(112) - (-1 + sqrt(112)*2)))*6 + -1.\nAnswer: -37","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.1? (a) -4 (b) 1\/6 (c) 0.1422 (d) -1 (e) 3\/8\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 38191?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence sss when three letters picked without replacement from zvssizvsvizvsz?\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 33 - 29. What is the first derivative of v*p**2 - 4*p**2 - 4 + 8*p**4 - 2 wrt p?\nAnswer: 32*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, -0.4, 22\/17, 0.3, -0.3 in descending order.\nAnswer: 22\/17, 0.3, -0.3, -0.4, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1029864050?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) = -i - 10. Let x be o(-8). Let g = -16074 - -16076. Sort g, 4, 5, x in ascending order.\nAnswer: x, g, 4, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 186 and 756?\nAnswer: 23436","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 704 and 64?\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (8\/6)\/(-2)*(-18)\/(-16)?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 139*p**2 - 2*p**3 + 359*p + 133*p**2 + 134*p**2 - 410*p**2.\nAnswer: -2*p**3 - 4*p**2 + 359*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1525 by -2171.\nAnswer: 1525\/2171","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Does 92 = -22?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence yy when two letters picked without replacement from byyyyybbyyb.\nAnswer: 21\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5 - 2 - 5)*(66*i**4 + 9 + 1 - 76*i**4) + (-3*i + 4*i - 2*i)*(-i**3 + i**2 - i**2).\nAnswer: 21*i**4 - 20","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 2*f**3*j + 2*f**3 + 536*f*j - 56*j + 15 with respect to f.\nAnswer: 6*f**2*j + 6*f**2 + 536*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -1.9651 + 0.7651. What is the smallest value in 0.1, 1, 5\/4, n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) be the first derivative of -c**7\/112 + 3*c**5\/80 - c**3\/16 + 10*c + 8. Let i(u) be the first derivative of o(u). Factor i(r).\nAnswer: -3*r*(r - 1)**2*(r + 1)**2\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 24359465?\nAnswer: 5, 13, 374761","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l**(-2\/19)\/l)\/l**(3\/5)*((l\/(l**(-2\/7)\/l))\/l)**(-2\/5) assuming l is positive.\nAnswer: l**(-1476\/665)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 21 a factor of (-10)\/(-3)*(-735)\/(-14)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 68267*m**2 + 129373*m.\nAnswer: 136534","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 10, 621, 2466, 6163, 12330?\nAnswer: 21585","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) = -1228*c - 62. Let p(u) = u + 20. Determine -o(b) - 3*p(b).\nAnswer: 1225*b + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) = -5*m - 7. Let n be l(-3). Factor -55*v**2 + n + 4*v - 50*v**2 + 93*v**2.\nAnswer: -4*(v - 1)*(3*v + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve h + w = -4, 10*h - 2*w = 11 + 9 for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3010001 (base 4) to base 12.\nAnswer: 7315","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = 376*j - 378*j. Sort 6, -1, 4, j in decreasing order.\nAnswer: 6, 4, j, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, -57, 4, -13, -1143 in decreasing order.\nAnswer: 4, -5, -13, -57, -1143","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -787, -789, -791, -793?\n\"Answer: -2*v - 785","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in one quarter of a century?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 4794 and 27.\nAnswer: 43146","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 120?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-30)\/21 + (-17108)\/(-9212).\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {y: 6, a: 4, r: 9}. What is prob of picking 2 r and 1 a?\nAnswer: 48\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 27640936.\nAnswer: 2, 769, 4493","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -85 + 43. Let p be 454\/6 - (-2)\/(-3). Let i = p + d. Is 11 a factor of i?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-4 - (0 + 5)) + (-43 - 51) + 34.\nAnswer: -69","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 24*h - 457 = 1775. Solve -148 + h = 11*x for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -94.8 + 95. Let n be ((-313)\/(-14))\/((-2)\/(-8)). Let t = 90 - n. Which is the closest to 1? (a) r (b) t (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*v**4\/5 + 56*v**3 + 4936*v**2\/5 + 16448*v\/5 + 3072 = 0 for v.\nAnswer: -120, -16, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -3249 - -3257. Calculate the greatest common divisor of l and 316.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose l + 12 - 14 = 0. Solve u + 4*a = 3*u - 16, 0 = -5*u - l*a + 16 for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 151\/48390 and -19\/295179?\nAnswer: 2951790","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) = 3*z**2 - 555*z - 537. What is p(186)?\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 0.027 - -0.683. Let k = r + 0.29. Which is the closest to k? (a) -4 (b) -2\/9 (c) -1\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) = 2*l - 6. Let b be m(5). Let k = b - -1. Suppose 3*s + k - 35 = 0. Calculate the smallest common multiple of s and 20.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -272, -530, -776, -1004, -1208, -1382, -1520, -1616?\n\"Answer: d**3 - 265*d - 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) = 25*z**2 + 260*z. Let s(b) be the second derivative of -b**4\/3 - 37*b**3\/6 - 266*b. Let n(j) = 20*s(j) + 3*y(j). Factor n(k).\nAnswer: -5*k*(k - 8)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0 + -0.1. Let w = 37 + -35. Put -3, i, w in ascending order.\nAnswer: -3, i, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 20, 21, 22, 23, 24?\nAnswer: 25","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: (-4)\/6*(864\/(-20))\/(36\/90)\nAnswer: 72","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 5229448507 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Express (-4*x + 5*x - 2*x)*(-9262 - 8559 + 16201) in the form n*x + l and give n.\nAnswer: 1620","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 d when three letters picked without replacement from {s: 10, d: 4}.\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*b = b - 22. Let a(j) = -53*j**2 - 11*j + 47. Let q(m) = -18*m**2 - 4*m + 16. Let s(w) = b*q(w) + 4*a(w). Find the first derivative of s(z) wrt z.\nAnswer: -28*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -90 + 48 = -7*l for l.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 146 (base 12) to base 16.\nAnswer: c6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*g = 5*s - 27, 6*g = 8*g + s + 3. Let q(j) = j**3 + 5*j**2 - 5*j + 1. Let f be q(-6). Let t = f - g. Is -2\/7 greater than t?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -r + 15 = 2*x, r - 4*r - 4*x = -35. Suppose r*t - 30 - 90 = 0. Calculate the remainder when t is divided by 13.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1326378047?\nAnswer: 1326378047","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) = -b**3 + 2*b**2 + b - 2. Suppose -28 = y - 5*y. Let n be 32\/14 + (-2)\/y. Give i(n).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*d - 4 = -d. Let z(p) = -14*p + 1. Let m be z(d). Let k = m - -30. List the prime factors of k.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:54 PM and 7:08 PM?\nAnswer: 14","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -16 - -4. Let i = w - -11.6. Put -7, -0.3, i in increasing order.\nAnswer: -7, i, -0.3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y\/y**(-2\/5))**(-2\/57))**0\/(((((y\/(y*y**(1\/3)\/y))\/y)\/y)\/y)**(40\/9))**(1\/23) assuming y is positive.\nAnswer: y**(280\/621)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*i + 1 = 2*v, 3*i = -2*v + 155 - 146. Sort 1, 0.7, v, 5 in decreasing order.\nAnswer: 5, v, 1, 0.7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*g = -v - 1677, -4*g = -0*g - 5*v - 1681. Suppose -g = -2*y - 411. Put y, 1, -5 in decreasing order.\nAnswer: y, 1, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -d + 4*m + 45 = -6*d, -d = -2*m - 5. Let c be 3\/3*(d + 3). Is c - (-1 - (-2 + 161)) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 2574 and 972?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 29\/3 of a hour?\nAnswer: 580","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 235298?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*y = 6*v - 2*v - 47, 4*y - 54 = -v. Let p = 396 - 384. Suppose p*k + 179 = y*k. What is the tens digit of k?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 635, 1289, 1943?\n\"Answer: 654*u - 19","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 = -5*b - 10. Let g = -1580 + 1579. Let m = 21 + -19. Sort b, g, m, 24 in decreasing order.\nAnswer: 24, m, g, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -1.2 + 1. Let x = 1495 - 1494.97. Let g = -5.18 - -5.48. Which is the third biggest value? (a) g (b) x (c) 4 (d) n\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) = 2*n. Let v(y) = -25*y**2 + 223*y - 12. Let b(g) = -28*g**2 + 223*g - 14. Let z(s) = -6*b(s) + 7*v(s). Give l(z(q)).\nAnswer: -14*q**2 + 446*q","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) = l**3 + 6*l**2 + 634*l + 2519. Determine f(-4).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 803 a multiple of 62?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) = -3*g + 1. Let w(l) = -8*l - 55. Let i(d) = -2*k(d) + w(d). Does 3 divide i(-46)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 1*2 - (12 + -13). Suppose i*t - 32 = 10. Let d be 6*(-299)\/(-69)*(-4)\/(-26). Solve 0 = -d*l + t + 2 for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -1 (b) 0.089 (c) 4.261 (d) -1\/302\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:11 PM and 3:57 AM?\nAnswer: 466","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 12490418029 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) = p. Let a be g(5). Let k be 4\/(-2)*(-5)\/a. What is the third derivative of -k*s**2 + 3*s**5 - 11*s**4 + 11*s**4 wrt s?\nAnswer: 180*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -29359*j + 17176.\nAnswer: -29359","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*j - 4*r - 38 = 0, 0*j + 2*j + 2*r = 20. Let b = -53 + 35. Let a be 4\/b + 706\/18. Calculate the greatest common factor of j and a.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -4443235960 rounded to the nearest 1000000?\nAnswer: -4443000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 146719 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-4542150)\/(-1132)*(-11999 + 0 + -1). What is p rounded to the nearest one million?\nAnswer: -48000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 174 a factor of 97629?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -44*y + 949 = 2885 for y.\nAnswer: -44","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 12618046\/83 or 152026?\nAnswer: 152026","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h**(-1\/3))**23\/(h*h**4*h*h**(-4\/7)))**(-47) assuming h is positive.\nAnswer: h**(12925\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(22) + (2*sqrt(176))\/sqrt(8))\/(-2*sqrt(1584) + sqrt(1584) - sqrt(1584) - sqrt(1584)).\nAnswer: -sqrt(2)\/12","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) = 4*n**2 - 11*n - 10. Let b be p(-6). Suppose b*m = 197*m + 48. What is the least common multiple of m and 874?\nAnswer: 6992","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 9*a**2*p**3 - 2*a**2*p*x - 2312*a**2*p + 9*a*p**3*x + 4*p**3*x - 2*p*x wrt p.\nAnswer: 54*a**2*p + 54*a*p*x + 24*p*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*(sqrt(14) - (3*sqrt(896) - sqrt(896) - sqrt(14)))\/sqrt(2))**2.\nAnswer: 1372","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*c, -5*v + c + 312 = -643. What are the prime factors of v?\nAnswer: 191","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 + (-10 - (-3 + -5)).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-665)\/(-15) + (-4)\/12. Suppose z + 14 = d. What is the remainder when z is divided by 11?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 406 minutes after 9:10 PM?\nAnswer: 3:56 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 u and 1 g when four letters picked without replacement from {z: 1, v: 3, x: 3, u: 4, g: 7}.\nAnswer: 7\/765","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 179797.\nAnswer: 19, 9463","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 7*((5778\/14 - -10) + 5) and 72?\nAnswer: 35928","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) = q**3 - q - 2. Let x = 6 - 4. Let h be i(x). Solve 0 = -2*z - u - u + 10, 0 = -z + h*u - 10 for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth smallest value? (a) -0.04 (b) 94 (c) -3 (d) 0.2 (e) 0 (f) -56\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*j = 5*j - 18*j + 70 for j.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*d - 3446 = -16734. List the prime factors of d.\nAnswer: 11, 151","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (260\/55 - 5)\/(9\/12). Let t = -1\/12 - -29\/60. Which is the biggest value? (a) t (b) -1 (c) h (d) 5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1 + 1 + -5 + -25 + 32.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 33 divide 1419?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Put -38, -3, -13, 6 in increasing order.\nAnswer: -38, -13, -3, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand 118*t - 154*t - 177*t + (-1 - 2 + 4)*(3*t - 3 + 3).\nAnswer: -210*t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Round 5.458292 to the nearest integer.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -245869084 + -1081?\nAnswer: -245870165","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let x be ((-1335)\/(-89))\/(1 + 0 - 2). What is the units digit of (-9)\/x - (-64)\/(-40)*-759?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) = -6*g + 34. Let t be v(5). Suppose -3*w + 4*h = -t, 5*w - 3*h - 12 = h. Solve w*d = -5*z + 7, 4*z - 2*d - 2*d + 16 = 0 for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 3.5 + -5.5. What is the smallest value in -0.5, l, -30\/17?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 3*u**2\/2 + 116439*u - 232884 = 0. What is u?\nAnswer: -77628, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*x = 2*v + 10, 4*x - 12 - 7 = -v. Let l(t) be the first derivative of t**4\/4 - t**3\/3 - 2*t**2 - t + 2. List the prime factors of l(v).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) = -2*d**2 + 16*d + 2419. Let b be n(-31). Sort 1\/6, 3\/2, b, -18, 2\/19.\nAnswer: -18, 2\/19, 1\/6, b, 3\/2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:18 AM and 9:49 PM?\nAnswer: 691","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) = -3*k**2 - 5*k - 1. Let o(y) = y**2 + y - 1348 - 1350 + 2699. Let x be 3 + -3*6\/9. Let w(h) = x*q(h) + 2*o(h). Determine w(-4).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 140 and 336.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence qead when four letters picked without replacement from dejmqjdqa.\nAnswer: 1\/756","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1804534511.\nAnswer: 13, 37, 79, 281","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 390893480.\nAnswer: 2, 5, 83, 281, 419","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -1024.1 - -1024.2. Which is the closest to 0.1? (a) -0.04 (b) -83 (c) s\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) be the second derivative of 0 - 3\/2*n**2 + 0*n**4 + 2\/3*n**3 + 10*n + 1\/20*n**5. Let x(j) = j**2 + 5*j - j**2 + 2*j**3 - 4. Give 3*x(t) - 4*z(t).\nAnswer: 2*t**3 - t","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -50694, -101390, -152084, -202776, -253466, -304154, -354840?\nAnswer: -405524","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -19 - -19. Suppose -2*x - 32 = -n*x. Let l = x + 17. Put -4, l, 3 in ascending order.\nAnswer: -4, l, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -25*n = 248*x - 244*x - 43, -2*n - 6*x = 42 for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -22*c = -23*c + 3. Solve 1 = -f - c for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (0 + 6\/(-4))*-6. Suppose 2*f = -f + q. Suppose -25 = 5*b - 5*r, 4*b + 9 = f*b + 3*r. What is the second smallest value in b, -2, 0?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1\/4? (a) -0.2 (b) -6\/11 (c) 11\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-30*w + 66*w + 77*w)*(w**4 + 4*w**4 - 3*w**4).\nAnswer: 226*w**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (9 + -7)\/((-8370)\/(-6075) - (-8)\/(-6))?\nAnswer: 45","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 h and 3 o when four letters picked without replacement from {a: 5, h: 3, o: 5}?\nAnswer: 6\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 23892 + -12875. Is m a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*t + 5*q - 86, -t - 4*q = 2*t - 136. Let j = -28 + t. Let b = j + -9. What is the remainder when 31 is divided by b?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 38949*b**2 - 39849*b**2 + 133 - 133.\nAnswer: -900*b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 1.8, -4, 0.779185?\nAnswer: 0.779185","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) = b + 42. Let g be 6\/12 + 2\/(-4). What is the tens digit of i(g)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -23*k - 5*h - 196, 6*k + 2*k - 4*h - 45 - 65 = 3*k for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -0.0153 - -3.0153. What is the closest to 1 in 0.5, 1, q?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -10*f**2\/13 - 58346*f\/13 + 23340\/13.\nAnswer: -2*(f + 5835)*(5*f - 2)\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 476633.3 hours?\nAnswer: 1715879880","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Work out 117446 - 109.2.\nAnswer: 117336.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -234*q - 3795 = 111*q for q.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 6341, 17986, 29631?\nAnswer: 41276","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) = -8*f. Let q(y) = 3*y + 1. Let z(a) = -3*a - 2. Suppose -58 = 25*h + 4*h. Let o(v) = h*q(v) - z(v). Calculate k(o(s)).\nAnswer: 24*s","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -3*t**2*u**3*y**3 + 2*t**2*u**2*y**3 - 3259*u**3*y**2 + 5*u**2*y**3 + 17*u*y**3 wrt u.\nAnswer: -18*t**2*y**3 - 19554*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-1045)\/(-495) + (-2)\/18. Let b(p) be the first derivative of 1\/4*p**4 - 2\/3*p**3 + 3\/2*p**2 - 2 + 0*p. Give b(z).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 85 + -82. Suppose 5*h - 2*z - 23 = 0, h - 4*z - 7 = -n*z. Which is the second biggest value? (a) h (b) 0.1 (c) -0.01 (d) -2\/21\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -59*u + 24*u + 133 = 98*u. Let b = 6 - 3. Let w be (b - 1) + (-1 - -3). Calculate the greatest common factor of w and u.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be ((-4)\/14)\/((-2)\/14). Let j(o) = 0 - 2247*o**u + 0 - 2952*o**2 - 5 + 4*o. Let x be j(-5). Round x to the nearest one hundred thousand.\nAnswer: -100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 585706477 divided by -3.\nAnswer: -585706477\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 4 - 30?\nAnswer: -2b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*t + 2 = 20. Let w be (-6)\/(-4)*(-20)\/t. Solve -k + 20 = w*c + 3, -k = 3 for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) = -j**3 + 8*j**2 - 5*j + 2. Let k be t(5). Let u be (k - -3) + (5 - 4). What is the greatest common divisor of u and 7?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 28880139?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 2220212110 + 100002110?\nAnswer: 10020221220","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) = -y**3 - 15*y**2 - y - 14. What is c(-15)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 3068159 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-40 - (90 - (-45435)\/(-351)))*(-1)\/(30\/(-4)).\nAnswer: -2\/27","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from hjscsjjsqh. What is prob of sequence cqh?\nAnswer: 1\/360","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -362, -299, -182, -11?\n\"Answer: 27*l**2 - 18*l - 371","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 382666729 to the power of 1\/9, to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*o**2 + 4 - 4)*(-3 + o**3 + 3) + 102*o**4 - o**3 - 102*o**4 + o**5.\nAnswer: -o**5 - o**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(3) + sqrt(3) + sqrt(108) + -2 + sqrt(3) + sqrt(3) + (sqrt(3) - sqrt(18)\/(1*sqrt(6))))**2.\nAnswer: -40*sqrt(3) + 304","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-6*j**3 + 21 + 13 + 3*j - 4*j)*(j - j - 2*j)*(-3*j - 3*j + 5*j).\nAnswer: -12*j**5 - 2*j**3 + 68*j**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15*r - 25*r = -127760. What is the hundreds digit of r?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2 + 150*o - 10068*o + 841*o)*(-o**3 - 6*o**3 + 3*o**3) to z*o**4 + h*o**2 + a*o**3 + y + v*o and give z.\nAnswer: 36308","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*l + 1936 = 6381. Suppose -5*p + l = 209. Does 34 divide p?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 250 + 215 = 93*i for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) = -11*q + 4. Let n(y) = -33*y + 11. Calculate -11*g(i) + 4*n(i).\nAnswer: -11*i","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: (21\/(-130))\/3*2\/((-58)\/((-2668)\/483))\nAnswer: -2\/195","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 2a74c - 3?\nAnswer: 2a749","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (10*(-18)\/(-20))\/(1*3). Let 8\/3*x**g - 4\/3*x**4 + 4\/3 - 8\/3*x + 0*x**2 = 0. Calculate x.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (5 + 7 + 0 - 2*z**2)*(2*z**2 - 2*z + 2*z) as n*z + a*z**3 + j*z**2 + b + t*z**4 and give j.\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 236029?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is (0 - 1)*(0 - 4795 - -12) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7 = -17*a - 44 for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -2.79 + 2.39. Sort -0.3, -2, 0.1, b in descending order.\nAnswer: 0.1, -0.3, b, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 14664034 (base 7) to base 3\nAnswer: 2122200020021","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: -59fa (base 16) to base 6\nAnswer: -254350","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 12558 and 21206874.\nAnswer: 148448118","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Add together -8745 and -203237515.\nAnswer: -203246260","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 6831 - 6829. Suppose 33 = 5*z + 3. Solve s*c - z*c = 12 for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0.835 + -279.835. Let l = g - -277. Let v = -8 - -6. Which is the closest to v? (a) -3 (b) -0.09 (c) l\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:09 PM and 6:13 PM?\nAnswer: 184","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) = -2*t. Let l(a) = -2007*a**2. Give l(u(m)).\nAnswer: -8028*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 130 + -132. Let g = 2 - k. Determine i so that 2\/3*i**g + 2\/3*i + 4\/3 - 2*i**2 - 2\/3*i**3 = 0.\nAnswer: -1, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 57106.\nAnswer: 2, 7, 4079","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*o + 2*o + 18 = 0. Suppose -c - 11 = -2*c + 5*l, c + 5*l = -o. Let a be c\/(((-84)\/(-8))\/3). What is the nearest to 1\/6 in -0.5, -0.1, a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) = -w. Let n(m) = -m + 1. Give 6*n(z) - 5*p(z).\nAnswer: -z + 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -42*l - 231 = -21*l. Let d(x) = 19*x - 2. Let v(r) = 94*r - 11. What is l*d(i) + 2*v(i)?\nAnswer: -21*i","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) = -75*z - 205*z**3 + 12*z**2 - 14 - 31 + 206*z**3 + 10*z**2. What is the hundreds digit of r(-24)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, -1\/5, 0.34, -10\/2581 in increasing order.\nAnswer: -1\/5, -10\/2581, 0.34, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3239 is divided by 17.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -264 - -268. Suppose -5*i + 3 = -4*k, x*i - 21 = 2*i - 5*k. Solve 0 = -4*p - i*m - 19, 5 = -3*m - 2*m for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 49921 is divided by 2?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a**(-1\/5)*a*a**(-9)\/a*(a**(31\/2)*a)**(-4\/11))**(-27\/5) assuming a is positive.\nAnswer: a**(2052\/25)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Does 23 divide 427041?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v*v\/(v\/(v*v*v**(-6\/11))))\/(v*v*(v*v*v*v**8\/v)\/v))**(-4\/11)\/(v**8*v*(v*v*v**5\/v)\/v*v*(v\/(v**2*v))**(-41)) assuming v is positive.\nAnswer: v**(-11361\/121)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {p: 1, b: 8, z: 4, w: 5}. What is prob of picking 1 w and 1 z?\nAnswer: 20\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 69.228746 take away -90663?\nAnswer: 90732.228746","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 935\/(-306) - 1*3 and (-1 - -84)*2\/20.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) = -4*k**2 - k + 9. Let v be i(0). Suppose -6*t - 2*p - 3287 = -v*t, 5*t - 5477 = 2*p. What are the prime factors of t?\nAnswer: 3, 5, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1123837.547 - 29307.\nAnswer: 1094530.547","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Convert -179207 (base 10) to base 7.\nAnswer: -1344320","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0 or -702\/2219?\nAnswer: -702\/2219","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000137944 rounded to five dps?\nAnswer: 0.00014","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -56 + 54. Let s be 20 - (-8 + (0 - t)). Solve q + 21 = s for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6.805913ml in litres?\nAnswer: 0.006805913","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20 = -3*f - 2*f. Suppose -2*b - 102 = -f*o, -o = 4*b + b - 31. What is the units digit of o?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of (16 - (38 + -20)) + 3418\/2?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.4 and 275.\nAnswer: 110","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*a + 5 = 6*a for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -1231 (base 8) in base 6?\nAnswer: -3025","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 0.1 or 0.0251885037?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Express -3*a + 1 - 9*a**2 + 5*a**2 + 10*a**2 as z*a + v*a**2 + q and give z.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) = -19 + 21 - 2 - 7*q. Let p(w) be the third derivative of 0 + 0*w**3 - 6*w**2 + 0*w - 1\/12*w**5 + 0*w**4. Calculate a(p(y)).\nAnswer: 35*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) = -p + 12. Let q be m(0). Let d be ((-4)\/q)\/((-3)\/27). Suppose 0 = 4*f - d*n - 63, -f + 0*f - 3*n = -27. List the prime factors of f.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*x = 2*x + 45. Let s = 16 - x. List the prime factors of s.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) = -8*f + 1. Let i = 279 - 281. Give p(i).\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 2 + 1. What is the derivative of y + 0*q - 8 + 9*q wrt q?\nAnswer: 9","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 200101120211200 (base 3) to base 4\nAnswer: 211102103223","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from sissssssisjsjr. Give prob of sequence rss.\nAnswer: 3\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:14 AM and 1:54 PM?\nAnswer: 700","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2623 is divided by 0 + 13 - (-171)\/(-19) - -60?\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5284005 a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-224)\/(-128)*((-3)\/3)\/(-7).\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -20 - -27. Suppose 83 + 29 = h*b. Calculate the smallest common multiple of b and 2.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -1, -7, -9, -1, 23?\n\"Answer: d**3 - 4*d**2 - d + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-12)\/16)\/(27\/(-6))?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -17 + ((-2)\/(-15) - 55600\/(-3300))?\nAnswer: -1\/55","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -6 - -6.5. Let g = 0 - w. Let l = -0.6 - g. Are l and 2 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -64*i + 18 - 17 - 1 in the form w*i + f and give w.\nAnswer: -64","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -0.2 * -18.91\nAnswer: 3.782","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 244 minutes before 10:35 PM?\nAnswer: 6:31 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 595 - 1240 - 26*j + 645.\nAnswer: -26*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v\/v**(1\/18))**(12\/11)\/((v*v**(-26\/5))\/v*v*v)**9 assuming v is positive.\nAnswer: v**(4922\/165)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 68*q = 100*q - 512. Solve -q = -2*i + 4*c, 7*i - 5*i = -c + 1 for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-28)\/(-4) + 768\/(-120). What is the third smallest value in 4, j, 2, 1\/5?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 73\/592 and 22\/5?\nAnswer: 2960","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 2\/7 + (-774)\/14. Let b = q + 60. Put b, -4, -14, -3 in descending order.\nAnswer: b, -3, -4, -14","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -y - 4*y = -2*g - 11, -4*g - 5*y + 53 = 0. Let r be (3\/15 + -1)\/(g\/10360). Let x = -807 - r. Is x a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) = 80*k**2 - k. Is a(1) a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 >= -2\/262421?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*u = -4*u + 12*u. Which is the nearest to u? (a) -1.8 (b) 4\/7 (c) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) = a**3 - 12*a**2 - 28*a. Let l = 109 - 54. Let d = l + -41. Let r be q(d). Which is greater: r or 1\/8?\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 326.5 and -0.3.\nAnswer: -97.95","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 248 + -243. Suppose 0 = 5*u + 4*k - 1615, c*u - 2*u = k + 986. What is the units digit of u?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, -118, 5, 5342, 6, 1, 3 in increasing order.\nAnswer: -118, 1, 2, 3, 5, 6, 5342","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -3 + 7. Let p = 23 + -18. Let b be (-24)\/(-32)*p\/(-3). What is the biggest value in b, z, -0.3?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {j: 4, z: 2, h: 1, d: 1}. What is prob of sequence zjd?\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13369 + 35241 = 8*g. Let c = -5516 + g. Let f = 11069\/4 + c. What is the common denominator of -95\/8 and f?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1638 divided by -234\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) = 65*m + 2. Let h(c) = 2*c**2. Give t(h(j)).\nAnswer: 130*j**2 + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Round 41.669 to one decimal place.\nAnswer: 41.7","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*v**4 - 3*v**4 - 3*v**4 - 2*v**4 + 3*v**4 - 3*v**4 - 2*v**4 + 4*v**4 + 0*v**4 + (0*v**2 + 5*v**2 - 3*v**2)*(v**2 - 3*v**2 + 0*v**2).\nAnswer: -7*v**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5*-543.\nAnswer: -2715","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) = -c**3 - 6*c**2 + 6. Suppose -65192*t = -65176*t + 96. Give l(t).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*q = -4*q - 24. Let n(v) = -14*v**3 + 11*v**2 + 17*v + 3. Let a be n(q). Calculate the greatest common divisor of a and 100.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*x - 3*x + 6. Let t be (-5)\/(-10)*(-4)\/x. Let h be -1 - t - 0 - -30. Calculate the highest common divisor of 6 and h.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 644 minutes after 7:05 PM?\nAnswer: 5:49 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -2.231 times 2.9?\nAnswer: -6.4699","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -9*l - 32*l - 12*l + 43*l - 3*l + 15*l.\nAnswer: 2*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*a + 4 = -2*a. Let z = -2 - a. Let t(i) = -i. Let f(k) = -5*k. Let p(n) = -f(n) + 4*t(n). Calculate p(z).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -3\/4? (a) 1\/849 (b) 1 (c) -117.7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 12946310243 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -29\/3 and 37\/20?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 13997 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4313 is divided by 166.\nAnswer: 163","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -756 = -71*i + 806 for i.\nAnswer: 22","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.579 to 1 decimal place.\nAnswer: -0.6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 110101100 (base 2) to base 13\nAnswer: 26c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((-1 + sqrt(637)*1 + sqrt(637))*-6 - (1*sqrt(637)*2 + -1*(-1 + sqrt(637))))*-3 + 0)**2.\nAnswer: -8190*sqrt(13) + 969102","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let k be -1 + 10\/(-4)*8. Let b be (-3)\/(9\/k) + -1. Suppose x - b = 6. List the prime factors of x.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 j and 1 b when two letters picked without replacement from eejjjbjebjejbj?\nAnswer: 3\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 7676 is divided by 639.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*d + 582 = 3*r + 3*d, -3*d = 9. Suppose -2*t = t - r. Let v(u) = -15*u - 154. Let k be v(-12). Calculate the highest common factor of t and k.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -1 - -3. Let u = y + -1.99. Let h = u + -3.01. Which is the third biggest value? (a) h (b) 1\/2 (c) -1\/6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(84) + 2*sqrt(84)*1)\/sqrt(12))**2.\nAnswer: 63","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15*r = 19*r - 20. Let p(n) = 346*n + 5. Is p(r) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 166701*c - 166615*c - 2494 = 0 for c.\nAnswer: 29","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in 7.821, 2\/121, 2?\nAnswer: 2\/121","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 21 + 273 = -184*x + 198*x for x.\nAnswer: 21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5339164.\nAnswer: 2, 137, 9743","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + ((sqrt(144)*5)\/sqrt(12) + -3 - (-2*1*sqrt(24))\/(sqrt(32)\/sqrt(4)*-6)).\nAnswer: -8 + 29*sqrt(3)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 9 and 86459067.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -27\/34 - -661\/918. Let w = -35\/108 - n. Which is the second biggest value? (a) -0.2 (b) 1 (c) w\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence eep when three letters picked without replacement from {k: 8, e: 2, p: 3, u: 6}.\nAnswer: 1\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) = d**2 + 17*d + 30. Determine u(-15).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*b - 29 = -2*p + 60, -5*p = -5*b - 210. What is the units digit of p?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*p**4 + 2*p - 2*p + (-9 + 16 + 4)*(3*p**3 - p**3 - 4*p**3)*(-70 + 70 - 25*p).\nAnswer: 552*p**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1277*o**2 - 1 + 2538*o**2 + 14*o**3 - 1270*o**2.\nAnswer: 14*o**3 - 9*o**2 - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -227 + 48*a + 468 - 241 - 148*a.\nAnswer: -100*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*q**2 - 928*q - 4740.\nAnswer: 4*(q - 237)*(q + 5)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 6\/(-21) - (996\/21)\/2. What is the hundreds digit of 13280\/v*(-3)\/2?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose t + 3 + 0 = 0. Sort -1, t, 7 in decreasing order.\nAnswer: 7, -1, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 88*u - 1100 - 610 = 1360 - 518 for u.\nAnswer: 29","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0.17 + 0.03. Let g = i + 0.1. Sort g, -1\/4, -3 in decreasing order.\nAnswer: g, -1\/4, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 179123\/(-2)*400\/(-700). Let y = 53623 + d. Is y prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, -2226961, -2 in decreasing order.\nAnswer: 1, -2, -2226961","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) = -g + 1. Let q(s) = s + 5. Let f(v) = -q(v) + 4*u(v). Let n(r) = -6*r - 1. Give 5*f(y) - 4*n(y).\nAnswer: -y - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 64210?\nAnswer: 2, 5, 6421","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence buts when four letters picked without replacement from {t: 3, p: 4, b: 4, s: 2, u: 3}?\nAnswer: 3\/1820","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) be the second derivative of -j**5\/140 + 3*j**2\/2 + 29*j. Let v(l) be the first derivative of m(l). Factor v(n).\nAnswer: -3*n**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -70 + 69. Let v(y) = -176*y**3 + y**2 + 6*y + 6. What is the hundreds digit of v(r)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -7, 3881, -0.5, -5, -1?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence xg when two letters picked without replacement from {l: 1, g: 10, x: 7}.\nAnswer: 35\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -74, -89, -118, -167, -242?\n\"Answer: -p**3 - p**2 - 5*p - 67","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.15043 rounded to three decimal places?\nAnswer: 0.15","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 3443128096 to the nearest integer?\nAnswer: 1510","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:54 AM and 9:44 AM?\nAnswer: 470","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (0 - -2)\/((-5)\/1). Suppose -100 = v + 5*u + 157, 5*u = 2*v + 529. Let c = v + 269. Which is bigger: c or s?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10*h - 17 - 33 = 0 for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 5079158252?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) = -2*r**2 + 41*r + 63. Let s be m(21). What is the second derivative of -s*d**5 + 101*d**3 + 118*d + 35*d - 102*d**3 wrt d?\nAnswer: -840*d**3 - 6*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 7\/39 + 2\/13. Sort 2, g, -3 in ascending order.\nAnswer: -3, g, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 12968.0669 rounded to the nearest 10000?\nAnswer: 10000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -43\/4160 and -51\/976.\nAnswer: 253760","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -2.83765721 rounded to 0 dps?\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -6 + 1. Sort 5, 0.2, c.\nAnswer: c, 0.2, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (2\/6*1)\/((-37)\/888).\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -361 - r**2 + 122 + 116 + 123.\nAnswer: -r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from dwmimmwhihlh. What is prob of picking 1 i, 1 d, and 1 m?\nAnswer: 3\/110","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) be the third derivative of g**6\/60 + 99*g**4\/8 - 68*g**3\/3 + 797*g**2. Differentiate p(a) wrt a.\nAnswer: 6*a**2 + 297","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 47, 82, 61, -46, -269, -638?\nAnswer: -1183","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -2.9 + 3.1. Is f < 0.6?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -64*d - 157*d = -4521881. List the prime factors of d.\nAnswer: 7, 37, 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:32 AM and 9:21 PM?\nAnswer: 589","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 906002348?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 356 = 7948*k - 7968*k + a, k - 2*a + 10 = 0 for k.\nAnswer: -18","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*o + 2*b - 18, 3*b + 5 = -o + 22. Suppose 0 = 2*k - o*s - 5, 3*k = 8*k + 3*s - 59. What is the tens digit of k?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 10 + -10 + 0 + 0.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -22 (base 8) in base 3?\nAnswer: -200","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.58 - 1098.\nAnswer: -1098.58","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Determine k, given that 17*k**3 - 7*k**2 - 44*k - 48*k**3 + 10*k**3 + 22*k**3 = 0.\nAnswer: -4, 0, 11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 742095 to the nearest integer?\nAnswer: 91","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 k when four letters picked without replacement from kkkkkkkkkfkk.\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -6.5 and -0.0296?\nAnswer: 6.4704","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*f + 0 + 0)*(-4 + 4 - 4)*(0 + 1 + 1)*(-3197*f**3 - 88*f**4 + 3197*f**3).\nAnswer: 1408*f**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Round 2766774.6 to the nearest 1000000.\nAnswer: 3000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) = 3*i**2. Let r(o) be the second derivative of 5*o**3\/6 - 115*o. Calculate r(l(m)).\nAnswer: 15*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let s be -2*(-4)\/4 + 318. Suppose -2*t + 5*f + s = t, 5*t - 555 = 4*f. What are the prime factors of t?\nAnswer: 5, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*(4 + -4*1*(-1*sqrt(612) - sqrt(612)) + 0)**2*-3.\nAnswer: 5760*sqrt(17) + 587760","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_test"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 + 45 = -2*v. Let x = 18 + v. Let i be ((-33)\/(-22))\/(x*1\/4). Let q(j) = j**3 + 4*j**2 + 1. Determine q(i).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -204*x + 59*x = -290 for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) = -a**2 - 3*a - 2. Let o be v(-2). Suppose 4*j + 1 = 3*s - 0, -2*j = -4*s - 2. Let p = s + 1. Is o >= p?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -2\/17 (b) 5 (c) 15916\/169\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -152 = -4*x + 32. What is the remainder when 595 is divided by x?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) = 2*c**3 + 2*c**2 + c. Let n = 32 + -33. Calculate l(n).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 92\/3 - 32. Let m = -2329.3 - -2329. What is the closest to -0.1 in k, -2\/3, m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 3325 + -3325.3. Let f(l) = l**2 - 2*l - 9. Let y be f(-5). What is the smallest value in c, 1, y?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -593, -220, 95, 322, 431?\n\"Answer: -5*d**3 + d**2 + 405*d - 994","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c be -2 + 6 + -2 - 2. Suppose -2*l - 2*l = -8. What is the second derivative of l*q**4 - q - q + c*q wrt q?\nAnswer: 24*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 2 + 4*g**2)*((0 + 1 - 3)*(1 - 3 + 0) + 37 - 6 - 3).\nAnswer: 128*g**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 81090?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 15240561*z**5 + 27*z**2 + 710002*z.\nAnswer: 914433660*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 14681 < 14684?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -46 - -46.043. Let n = 0.957 + t. Which is the nearest to n? (a) 0.2 (b) 3 (c) 0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -97004 (base 10) in base 8?\nAnswer: -275354","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express (8 - 5 - 2 - 4*c + 2*c**2)*(9144*c**2 - 4772*c**2 - 5122*c**2) as j*c + n*c**2 + q*c**4 + k + o*c**3 and give q.\nAnswer: -1500","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -4*r**5 + 1160*r**3 - 703*r**2 + r - 1.\nAnswer: -240*r**2 + 6960","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 1960 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: Suppose 0 = 154*x + 87*x - 35*x - 1529550. Does 45 divide x?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) = -1780*q + 120994. Determine z(68).\nAnswer: -46","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) = -803*l - 4125. Give j(-5).\nAnswer: -110","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 105*w - 268 - 31*w - 19*w - 29*w - 27*w.\nAnswer: -w - 268","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u\/(u*u*u*u**(2\/25))*u)\/u*u**(-6))\/(u**(-1\/2)*u)**(17\/2) assuming u is positive.\nAnswer: u**(-1233\/100)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 37701664 to the power of 1\/2, to the nearest integer?\nAnswer: 6140","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*i**2 + 0*i**2 - 2*i**2)*(-2 + 2*i**3 + 2) + 2*i**5 + 2*i**5 - i**5 + (2 - 2 + 3*i**5)*(1 + 2 - 1) + 9*i**5 - 8*i**5 - 4*i**5.\nAnswer: 10*i**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Round 686350 to the nearest 100000.\nAnswer: 700000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -6*x + 4372 + 7646. Is x a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: -6*3\/90*1\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) = -2*o**3 - 3*o**2 - 40*o + 41. Let f be t(1). Sort f, 5, 6, 3 in increasing order.\nAnswer: f, 3, 5, 6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 24 or 646\/47?\nAnswer: 646\/47","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 107633950?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 26\/5 of a meter?\nAnswer: 5200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -112201011101 (base 3) in base 11?\nAnswer: -188590","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) be the third derivative of -3149*y**7\/105 + 91*y**5\/60 - 4*y**3\/3 - 13*y**2 + 2*y + 77. Find the third derivative of m(j) wrt j.\nAnswer: -151152*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 336 and 1428?\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:46 PM and 4:25 AM?\nAnswer: 699","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) = -w**2 + 13*w - 36. Let p be l(8). What is the closest to 0.5 in 2\/27, p, -1, 0?\nAnswer: 2\/27","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -13837\/6 (b) 3 (c) 72\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 11.5 + -9. Let o = 0.5 - w. Let p = -2 - o. Is p bigger than -0.1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 409071499 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 20131 and 22427?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0681966 rounded to 3 dps?\nAnswer: 0.068","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*o + 205 - 103 = 4*d + 90, o = -5*d + 23 for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -94, -88, -84, -82, -82?\n\"Answer: -k**2 + 9*k - 102","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o**3\/3 - 5*o**2\/3 - 111*o - 621 = 0. Calculate o.\nAnswer: -9, 23","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 498450 rounded to the nearest one thousand?\nAnswer: 498000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is -125 > -871\/7?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from cyyauauayju. Give prob of picking 1 u and 1 c.\nAnswer: 3\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 49405.99999923187 - 49406. What is o rounded to seven dps?\nAnswer: -0.0000008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 s, 1 k, and 1 p when three letters picked without replacement from ksvsskkspeespspk?\nAnswer: 9\/70","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) = 2*u**2 - 76*u + 276. Let l be m(34). Put l, -2, 8, 5, 12 in ascending order.\nAnswer: -2, l, 5, 8, 12","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 46 in 10698, 0.13, 4\/3?\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -8 + -3 + 2 + 9 - 7.\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*x + 35 = d, -2*x + 4*d - d = -15. Suppose i = 2*j + 139, -x = -j + 4*j. Is i a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -73\/18 and -103\/21380.\nAnswer: 192420","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -2838 and -270.2?\nAnswer: 766827.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Express -j**3 + 1227*j**2 + 1 + j**4 - 1303*j**2 + 92*j + 0*j**4 - 90*j in the form r + n*j + y*j**4 + c*j**2 + i*j**3 and give r.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2169?\nAnswer: 3, 241","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*k - 260 = 3*n - 6*k, 3*n + 250 = -k. Let v = -88 - n. Let a(y) = 6*y - 4. Let g(c) = 11*c - 7. Calculate v*g(b) + 7*a(b).\nAnswer: -2*b","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) = 3*g**2 + 8. Let l(m) = m**3 - 10*m**2 - 11*m - 8. Let z be l(11). Let y(w) = -w**2 - 3. Let s(d) = z*y(d) - 3*a(d). Determine x, given that s(x) = 0.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -0.24 - -1.48. Let f = -18.54 + g. Round f to the nearest integer.\nAnswer: -17","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 178454761 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) be the second derivative of i**4\/6 + i**3\/6 + 3*i**2\/2 + 3*i + 739. Calculate f(2).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*o = 7*o + 3 for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k**(2\/3))**(16\/7)*(k\/(k\/((k\/(k*k**0)*k)\/k)))\/k**(3\/4) assuming k is positive.\nAnswer: k**(65\/84)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2 + (-1 - -4 - 2) + 1?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 4634*d*k**3 + 812*d*k**2 + d*k + 23648*k**3 - 6*k + 3 with respect to d.\nAnswer: 4634*k**3 + 812*k**2 + k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0000622952787 to six decimal places.\nAnswer: -0.000062","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 16*g = -8*g + 78 + 18 for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 3411\/8 or 425?\nAnswer: 3411\/8","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 12942, 13683, 14422, 15159, 15894?\nAnswer: 16627","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -65 - -745. Let h = 679.99 - k. Sort -3, h, 2\/69.\nAnswer: -3, h, 2\/69","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-72)\/(-54))\/((-28)\/147)?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 84 + -74. Let r = 30 - 20. Calculate the highest common divisor of r and h.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) = 13*p**2 + 767*p + 64. Determine c(-60).\nAnswer: 844","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose m = -5*z - 2*m + 16, -5*m = -2*z - 6. Let l(p) = 9*p**2 - 13822*p - 2*p**z + 13822*p. Let n(s) = 8*s**2. What is l(n(o))?\nAnswer: 448*o**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 212616 to the power of 1\/3, to the nearest integer?\nAnswer: 60","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) = 2*g**3 + 11*g**2 - 2*g + 21. Let b be w(-6). Is 47 a factor of 0 + b + 4\/(4\/97)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) = 2*c**3 + 2*c**2 - 3*c - 3. Let y be (-2)\/(-7) + 340\/35. Suppose -9*u = -y*u - 2. Give q(u).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*c + 0 = 3*v + 6, -3*c = 2*v + 4. Suppose 5*s + c*s = 10. Factor 0*b - 3\/2*b**s + 0 - 3\/2*b**3.\nAnswer: -3*b**2*(b + 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) = 11*p - 11. Calculate h(1).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 41094 is divided by 59?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -7*((-2183)\/259 - 15)\/(-3*(-16)\/(-12))?\nAnswer: -41","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*(sqrt(33)\/sqrt(3) + 1)**2 + -2 + -5 + (sqrt(11)*2)**2)*-1.\nAnswer: 23 + 10*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is (-6585)\/10975 + 84\/(-10)?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 675 - 379. Is i a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 7912320.38 to the nearest one million.\nAnswer: 8000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.3? (a) 0 (b) -5952.2 (c) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*k - 5*i = -5*k - 40, 2*k + 4*i = 8. Which is the closest to 0.2? (a) -3\/2 (b) -5 (c) k\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 303222 and 1755249?\nAnswer: 1563","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) = -a**2 + a. Let o(v) = 2*v**3 - 8*v**2 + 5*v. Let i(m) = 6*n(m) - o(m). Let g(k) = -k**2 - 2*k - 1. Let y be g(-2). What is the units digit of i(y)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 160917306 a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in 150.17 micrometers?\nAnswer: 0.00015017","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 4*p - r + 4, 2*p - 2*r = -3*p - 8 for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 7\/18 of a day?\nAnswer: 33600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 1.4 - 5.4. Which is the third biggest value? (a) 2 (b) p (c) 0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (65*12\/140)\/(-3) + (-12)\/(-6)?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 3? (a) -48 (b) -1 (c) 20\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*q + 11*q - 256 = 0. List the prime factors of 1 - (-5130)\/q - 174\/(-464).\nAnswer: 2, 7, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i**(-4)*i*i)**48*(i*i*i**(4\/5))**(1\/2) assuming i is positive.\nAnswer: i**(-473\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 631 - 583. Calculate the highest common factor of f and 32.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: -57 + 0.54\nAnswer: -56.46","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of ((-4)\/(-10) - 468\/(-5))*(338 - 182)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18261 = -35*d - 2424. Let k = d + 586. Suppose -4*w + n + 16 = 5*n, -4*w + 16 = -n. Sort -2, 3, w, k.\nAnswer: k, -2, 3, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 84427 and 5169?\nAnswer: 1723","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 20\/(-11) - 2\/(-1). Let o = -0.08 - 0.42. Put -5, o, a in decreasing order.\nAnswer: a, o, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4 + -6*(0 + (sqrt(44)\/(sqrt(4)*6) - (sqrt(11) + 3 + sqrt(88)\/sqrt(8) - sqrt(11)))) + 5)**2.\nAnswer: 270*sqrt(11) + 1004","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 14707, 14979, 15239, 15481, 15699, 15887, 16039?\nAnswer: 16149","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 84 and 13370826.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -2585 - -1153. Let m = -887 - h. List the prime factors of m.\nAnswer: 5, 109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) = s**2. Let j(y) = -113*y - 2. Let t(z) = 322*z - 21 - 175*z + 19*z + 404*z + 32. Let i(w) = -33*j(w) - 6*t(w). Calculate r(i(p)).\nAnswer: 95481*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 4 + 1 - 4 - (-1 - 3)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + ((sqrt(405) + sqrt(405) + -2*sqrt(405) + sqrt(405) - sqrt(405))**2 - sqrt(5)) + 1 + 2 + (-1*sqrt(5)*1 - 2*sqrt(45)) + 4.\nAnswer: -8*sqrt(5) + 12","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 747 a factor of 289974942?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*c**2\/5 + 83404956*c\/5 + 83404952\/5 = 0. Calculate c.\nAnswer: -20851238, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {l: 1, e: 4, s: 2, i: 2, o: 1, b: 2}. What is prob of picking 1 i and 1 o?\nAnswer: 1\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*v + 4 = v. Let b be (v + -3)*(-7 - -6). Solve n - g = 4, -b*n + 2*g = -3*n + 1 for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((s*s**(-8)\/s*s)\/(s\/s**(-7)))\/(s*s**1)**(-7\/3))**(9\/4) assuming s is positive.\nAnswer: s**(-93\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Work out -24 - 41.\nAnswer: -65","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 78 + -41. Is j - (-3)\/9*0 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -8754*k**2 - 22218*k + 355 - 354 + 22218*k to m*k + o + u*k**2 and give o.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from yddyyyyyyyhddyyddy. What is prob of picking 1 d, 1 y, and 1 h?\nAnswer: 11\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*d - 14 = -g - 2*d, 0 = -g + d - 1. Let z(f) = -8*f - 24 + f**g + 0*f + 19. What is the units digit of z(9)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 108*t**2 + 114*t**2 - 214*t**2 + 8*t**3 wrt t.\nAnswer: 48","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4213085 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 40730 is divided by 12736?\nAnswer: 2522","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 10 + -7. Solve 2*m + 8 = 5*a + 3*m, 0 = -b*m - 6 for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, -9\/22, 638, 0.132 in descending order.\nAnswer: 638, 0.132, -9\/22, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) = l**3 - 2*l**2 - 7*l + 5. Let h be ((-4)\/(-5))\/((-16)\/(-80)). Suppose -z - 12 = -2*i - 2*i, -2*z - h = -3*i. Determine t(i).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 693492?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s**(-35)\/s)\/s)**(1\/18) assuming s is positive.\nAnswer: s**(-37\/18)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (7*j - 6*j - 4*j)*(8*j**2 + 98*j - 98*j).\nAnswer: -24*j**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 33*o - 231528 - 16467. List the prime factors of o.\nAnswer: 3, 5, 167","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 1 + 100100010011111000100010?\nAnswer: 100100010011111000100011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) = -51*b - 967. Let d be x(-19). Let h(w) = -w**2 + 7*w - 1. Let i be h(3). Suppose -3*p + 1 = -i. Solve -d*s = -4*c - 2, p*s = s + 3 for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1097035 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 39, 307, 755, 1383, 2191, 3179, 4347?\n\"Answer: 90*g**2 - 2*g - 49","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -108.34 - -112.34. Let b = 1.5 - 1. What is the biggest value in z, b, -2?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -14*r - 21 = -35 for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -189 - 79 = -17*j + 191 for j.\nAnswer: 27","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 divided by -4493332.\nAnswer: -1\/4493332","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 135 + -139. Suppose 3*r = 2*r - 38. Calculate the remainder when 73 is divided by w\/(-2)*r\/(-4).\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 719, 8038, 20237, 37316, 59275?\n\"Answer: 2440*b**2 - b - 1720","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 45652*g**3 - 4*g**2 + 3715?\nAnswer: 273912","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) = -j**2 - 6*j - 11. Let m = -74 + 53. Let y be x(m). Let u = y + 2278\/7. Which is the fourth smallest value? (a) -0.4 (b) u (c) -1\/6 (d) 1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1351814, 2, 0.1 in increasing order.\nAnswer: -1351814, 0.1, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 187 is divided by 32?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -6203909 or -1\/12?\nAnswer: -1\/12","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 83 - 154. Let u = d - -155. What is the greatest common divisor of u and 12?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 62853327?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 581496 and 24?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) = -2*p**2 - 150752*p - 1055163. Give n(-7).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -58\/2585403 and 23\/17236020.\nAnswer: 51708060","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i**(2\/9))**(-24)*i**(-1\/16)*(i*i*i**10\/i)\/i*i assuming i is positive.\nAnswer: i**(269\/48)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 36090016 is divided by 227?\nAnswer: 194","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 50734 is divided by 591.\nAnswer: 499","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -22970 + 22970.03. Which is the closest to -656? (a) 1 (b) z (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) = -x**3 - 26*x**2 + 37*x - 545. Calculate t(-28).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i\/(i\/(i*i**(-1)\/i))*i\/i**6*i*(i\/(i\/(i**(-1)*i)))**(-20))**(4\/17))**(1\/7) assuming i is positive.\nAnswer: i**(-20\/119)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -151 + 150.9851. Let k = o + 0.01490032. Round k to six dps.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -7 - -12. Let w = 137 - 119.9. Let r = 17 - w. Which is the smallest value? (a) l (b) r (c) -0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 2120486784 to the nearest integer?\nAnswer: 1285","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) = -s. Let g(d) = -755*d**2 + 42. Give g(u(b)).\nAnswer: -755*b**2 + 42","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -421 = -6*x + 185. What are the prime factors of x?\nAnswer: 101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*t**4 + 1250262*t**3 - 130261672119*t**2 - 260527095036*t - 130264172652.\nAnswer: -3*(t - 208378)**2*(t + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -6161617*n**2*o**3 + 15*n*o**2 - 2*n + 25*o**3 + 22 wrt n?\nAnswer: -12323234*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) = -11*z**2 - z + z**2 + 3*z**3 + 2 + 0 + 8*z**2. Let a be h(2). Let r = a - 6. What is the lowest common multiple of 10 and r?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13*d - 44 = 12*d. What is the highest common factor of d and 110?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -2221 - -4832. Let x = -1488 + b. Is x a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -85*k + 87*k = i - 3, 3*k - 18 = -3*i for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1182 is divided by 15?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) = 2*l. Let x(t) be the second derivative of -131*t**3\/6 + 463*t. Calculate x(c(a)).\nAnswer: -262*a","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-32*g - 34*g + 72*g - 4 + g + 4 + (-1 - 4 + 2)*(4 + g - 4))*(5*g**2 + 1 - 1).\nAnswer: 20*g**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*k - 9 - 61. Is k*(-249)\/(-6)*-1 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j**(-1\/2)*j**(-2))**(2\/7) assuming j is positive.\nAnswer: j**(-5\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 179*o = 173*o for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -56*(12 + 33)\/(-45).\nAnswer: 56","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-18231938)\/2*(2 - 1). Let w be (526235 - -1)*468\/208. Let g = w - o. Round g to the nearest 1000000.\nAnswer: 10000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 111433 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-6 - 2) + (-4 + -35 - (106 - 66)).\nAnswer: -87","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 10313 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 708 minutes after 8:14 PM?\nAnswer: 8:02 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 z and 1 f when three letters picked without replacement from {f: 3, z: 3, p: 7}.\nAnswer: 9\/286","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -10 (base 5) to base 2\nAnswer: -101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 5615255 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-2)\/11 + (-3 - (-35)\/11). Which is the closest to u? (a) -0.5 (b) -1 (c) -2 (d) -14\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 22 + -18. Solve 3*p**2 + 3*p**g + 6*p**4 - 9*p**2 + 3*p**3 = 0.\nAnswer: -1, 0, 2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 153 divided by -51\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -68 divided by 1?\nAnswer: -68","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-8)\/(-2) - (6 - 3))\/(-1).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 202696, 202561, 202406, 202225, 202012, 201761, 201466?\nAnswer: 201121","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 23080 + -20364. What is the smallest common multiple of 1067 and w?\nAnswer: 29876","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*p = 17 + 23. Let t(d) = -3*d - 20. Suppose -5*u + 4 = -b, -3*b + 2*u - 24 = -b. Calculate the remainder when t(b) is divided by p.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -20777 or -20776?\nAnswer: -20777","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -0.2775185 and 70.563871?\nAnswer: 70.8413895","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -12\/11, -5, 0.3, -50?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -865*m + 132*m + 137*m + 590*m.\nAnswer: -6*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) be the first derivative of 27*s**5\/5 + 237*s**4\/4 + 54*s**3 - 24*s**2 + 3204. Solve v(n) = 0.\nAnswer: -8, -1, 0, 2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1017*n + 5*n**2 - 2030*n + 1013*n.\nAnswer: 5*n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many microseconds are there in 15.8984 hours?\nAnswer: 57234240000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -7 + (28 + 0 - (77 - 106) - (-8 + 0))?\nAnswer: 58","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((u*(u*u\/(u*u**(4\/9)))\/u*u)\/u)\/u)\/(u**20\/u)*(u**(-5)\/u)**(-3\/10))**37 assuming u is positive.\nAnswer: u**(-29378\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 20 (b) -43 (c) -1\/6 (d) 0 (e) 96 (f) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 2, 5, -0.1, -0.169, 2\/19?\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -1147\/20 + 231\/4. Which is bigger: w or -1?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*y + 219 = -37. Calculate the highest common factor of 64 and y.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) = -v**3 + 9*v**2 + 4*v + 20. Let j be w(0). What is the highest common factor of 95 and j?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*i - 5*f + 115 = -40, -4*f = 4*i + 100. Let a = -46 + -51. Is (a\/4)\/(((-9)\/i)\/(-9)) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -318 = -4*v + 3*k, -6 - 2 = -4*k. Let r(m) = 2*m**2 - 36*m + 55. Calculate the remainder when v is divided by r(17).\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 32 and 9944?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) = c**2 - 9*c. Let t(l) = l**2 + 4*l + 5. Suppose -10 = 5*m + 15. Let u be t(m). What is the tens digit of q(u)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 143 by -116.\nAnswer: -143\/116","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Put together -4.04 and 156424.\nAnswer: 156419.96","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) = h**3 + 33*h**2 + 18. Let v be i(-33). Solve -3*r - 21 = -v for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:48 PM and 8:31 AM?\nAnswer: 643","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -137 - 1519.\nAnswer: -1656","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 2*j + 0)*(4*j + j + 0*j).\nAnswer: 10*j**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2 = -4*o - p, -p = o - 3*o - 4 for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 106189*c**3 + 119511*c**3 - 39588*c**3.\nAnswer: 186112*c**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.003761 to 3 decimal places.\nAnswer: -0.004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: (7 + -1)\/(267\/(-356))\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*(2 + sqrt(1053)*1)*-3)**2*6 + -4.\nAnswer: 17496*sqrt(13) + 513698","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) be the second derivative of 2*s**3 + s**2\/2 + 7005*s. Let h(n) = -34*n**2 - 2. Give h(d(t)).\nAnswer: -4896*t**2 - 816*t - 36","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1337183 and 127?\nAnswer: 127","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5 + 3*(sqrt(143)\/(sqrt(11) - sqrt(176)) + 1 + (sqrt(13) - (sqrt(13) + 0))))**2.\nAnswer: -16*sqrt(13) + 77","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -19 - -64. Suppose k = -8*y - y. Sort -1, 9, y.\nAnswer: y, -1, 9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.63929*0.4\nAnswer: 0.255716","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) = -v + 10. Let i be r(-8). Suppose 69*b = 72*b - i. Solve 0 = 5*j - 0*j + 3*f + 15, -2*j = -5*f + b for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -20.9 - 371.1. Let y = 392.000000122 + n. Round y to seven decimal places.\nAnswer: 0.0000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2 + sqrt(125) + -1 + sqrt(125) + sqrt(125))**2 + -5*sqrt(125)*2.\nAnswer: -140*sqrt(5) + 1134","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) = -7*h**2 + 989*h - 989*h. Let p(f) = 18*f**2. Calculate p(g(s)).\nAnswer: 882*s**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -614 - 4*l - 620 + 5*l + 1234.\nAnswer: l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -24251 (base 8) to base 7\nAnswer: -42230","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {y: 2, g: 2}. Give prob of sequence ygy.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 5394 to the nearest integer?\nAnswer: 73","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*i - 4*i + 5*i + (4 - 3 + 0)*(2 - 2*i - 2) + 2*i + 9*i - 2*i.\nAnswer: 8*i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -o + 315*x - 23 = 316*x, -1065 = -3*o + 39*x for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand -19*k**5 - 2*k**5 + k**5 + (-2 + 2 - 2 - 4 - 1 + 4 + (-1 + 1 - 1)*(-2 - 1 + 2))*(-2*k + 3*k - 3*k)*(-18*k**4 + 4*k**4 - 5*k**4).\nAnswer: -96*k**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 59480902?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {a: 4, z: 3, n: 1, j: 2, k: 1}. What is prob of picking 1 n and 1 k?\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 12186, 24905, 37624?\nAnswer: 50343","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: -0.2 times 0.1884\nAnswer: -0.03768","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 0.26 * 2.7515444\nAnswer: 0.715401544","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -3\/5, 0.12, 280?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*x - 4*x - 4. Let v be x\/(-2)*0 - -28. Calculate the highest common divisor of v and 56.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 0 - (3\/(-7) + 8650\/(-70)).\nAnswer: 2, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 1\/(1\/(-2)*2). Let n = p - 3. Let v = n - -3. Is -1 < v?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*g**2\/13 + 5126*g\/13 + 454664\/13 = 0. Calculate g.\nAnswer: -2471, -92","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -734 - -738. Calculate the common denominator of 119\/114 and (1962\/(-81) - -10)\/(p\/6).\nAnswer: 114","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 38 + -35. Let s = -72 - -73. Which is the fourth smallest value? (a) -11 (b) 0.3 (c) s (d) n\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -10 - 1101000?\nAnswer: -1101010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1)\/4 - (-18)\/264.\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 6039149?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ge when two letters picked without replacement from ygggyyylyley.\nAnswer: 1\/44","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) = l**2 - 8*l + 9. Let o be n(7). Suppose 3*m = -5*k + 94, 0*m + o*m - 51 = -k. Suppose 0 = 5*g - 103 + m. What are the prime factors of g?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -3101, -6311, -9521?\nAnswer: -12731","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: -24.60364 times 20\nAnswer: -492.0728","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -3602, -28861, -97434, -230981, -451162, -779637, -1238066, -1848109?\n\"Answer: -3610*j**3 + 3*j**2 + 2*j + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 1550205402\/11 or 0.1?\nAnswer: 1550205402\/11","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is (-40 - -41) + (-20 - (15 - 8))?\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 20*(-9)\/(-18) + -15. Let i be ((-2)\/6)\/((-5)\/(-9)). Which is the third biggest value? (a) -0.3 (b) i (c) w (d) 0.04\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 17975 is divided by 119?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 305 - 1825\/6. Let a = -1\/2 + d. Factor l**3 - l**2 + 0 + a*l - 1\/3*l**4.\nAnswer: -l*(l - 1)**3\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 43 and 36679.\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) = o + 10. Let n be f(-7). Solve -2*i - 8 = n*y, i + 3*i + y - 4 = 0 for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 1\/(-10)*-5 + (-3)\/(-2). Let f be -1 - -3 - (7 - 7). Let b = 18 - 15. Solve b*r + 5 = -f*q, -r = q - c*q + 5 for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) = 13*d**2 - 3*d + 22. Let w be g(3). Solve -w*i + 133*i = -9 for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*i = l - 2*i + 2, 5*l - 54 = 4*i. Let q be (4 + -5)\/(1\/2). Let s = l - q. Solve -6*r + s = -2*r for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 17*a = 4*q + 19, 0 = 15*a + 109*q - 106*q - 69 for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 3080 and 104587000?\nAnswer: 1150457000","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*z**4 - 40*z**3 + 604*z**2 - 1520*z.\nAnswer: -4*z*(z - 5)*(z - 4)*(z + 19)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -624151 from 7.6947775.\nAnswer: 624158.6947775","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*u - 55*u = 18*u. Suppose 32\/7*o + u + 4\/7*o**2 = 0. Calculate o.\nAnswer: -8, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do 0 and 3\/24977 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand z - z**3 - z + (17*z + 53*z - 35*z)*(0*z**2 + 5*z**2 - 3*z**2) + (3*z**2 - 4*z**2 - 2*z**2)*(3*z + 2*z - 7*z).\nAnswer: 75*z**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -383 + 385. What is the second derivative of 8*x - 319*x**5 + 9 - 252*x**2 + 252*x**v wrt x?\nAnswer: -6380*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1290 + 119 - 717 - 692 - 3*b**2.\nAnswer: -3*b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find f such that 2*f**2\/7 + 156230*f\/7 + 3436092\/7 = 0.\nAnswer: -78093, -22","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in -3\/8, -586539, 113, -0.2?\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 23 + -17. Let y(u) = -3*u + 1 + b*u - 1. Let a(z) = 12*z**2. Calculate y(a(j)).\nAnswer: 36*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 299 + -296. Solve 0 = -a*h + 3, h - 9 = -3*u + 5*u for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is 0.0017995244 rounded to three dps?\nAnswer: 0.002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 4 - 2. What is the units digit of 4*a\/4 - -12?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c**(-1\/8))**(7\/3) assuming c is positive.\nAnswer: c**(-7\/24)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Determine b, given that -2*b**2 + 54*b - 100 = 0.\nAnswer: 2, 25","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 3579 to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d*d**(-2\/9))**18\/((d*d**23\/d)\/(d**(-2\/5)*d)) assuming d is positive.\nAnswer: d**(-42\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 573680884 is divided by 6?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: -11*-2.5\nAnswer: 27.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) be the second derivative of 3*p**5\/20 - p**4\/12 - 2*p**3\/3 + 3*p**2\/2 + 35*p + 2. Determine t(2).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {q: 13, i: 3}. What is prob of picking 1 i and 1 q?\nAnswer: 13\/40","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -27 - 16.8. Let u = 44 + c. Let r = 0.15 + 4.85. What is the second biggest value in -4, r, u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 184 is divided by (6 - 12\/2) + 1 + 36.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -12 (base 6) to base 15.\nAnswer: -8","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0 + 0. Let n(i) = -i**2 - 3 + y*i**2 + 4 + 0. Let s(z) = 5*z**2 - 2*z - 6. Determine 6*n(q) + s(q).\nAnswer: -q**2 - 2*q","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 53*y**2 - 22*y**2 - 15*y**2 - 11*y**2 - 22*y**2.\nAnswer: -17*y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -5 + 8. Suppose 15 = h*a - 3. Let y be ((-3)\/a)\/(22\/8). What is the nearest to 1 in 0, -0.5, y?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 35235 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: Differentiate -4*c*h**2 + 296*c*h + 38*c + 556*h**2 + 78*h wrt c.\nAnswer: -4*h**2 + 296*h + 38","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 21 - 23111310?\nAnswer: -23111223","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_test"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 3613354 to the nearest integer?\nAnswer: 153","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_test"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1438392, -1438504, -1438616, -1438728, -1438840, -1438952?\nAnswer: -1439064","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -30249552 divided by -975792?\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 - 5 + 3)*(0*g + 130*g - 17*g)*((-5 + 5 + g)*(0 + 4 - 3) + 0*g + 0*g + g + 0*g + 2*g - 3*g).\nAnswer: -226*g**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from hhwwyhaaawxhwwr. What is prob of picking 1 y, 1 w, and 1 h?\nAnswer: 4\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -14 + 11. Let l be 0 - (0 + s + -1). Suppose -l*v + 0*v = -d + 1492, 4*v = 5*d - 7492. Round d to the nearest 1000.\nAnswer: 2000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 8692 to the nearest integer?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 19 - 19. Suppose d = -2*m - m + 189. What is the remainder when m is divided by 13?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) be the second derivative of -1\/9*d**3 - 1\/2*d**2 - 38*d + 1\/36*d**4 + 1. Factor l(h).\nAnswer: (h - 3)*(h + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 2620721 + 3?\nAnswer: 2620724","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -0.3 (b) 11 (c) 0.5 (d) -1\/2 (e) -1\/117\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Divide -2508 by -19.\nAnswer: 132","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) = h**3 + 3*h**2 - 8*h - 10. Determine a(-4).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve c**3\/6 - 782*c**2\/3 + 9353*c\/6 - 3895\/3 = 0.\nAnswer: 1, 5, 1558","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 19 + -18. Which is smaller: 2 or p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -49 + (-1 - -68) + 0 + -17 + 84 + 0\nAnswer: 85","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -34 + 38. Suppose -5*h - 16 = -h - 5*z, h + d = -z. Let u = h - -8. Solve i + 0 = -u for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*o - 16*o + 56 = 0. Solve o = 2*v, u + 3*v - 2*v = -2 for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -29*u + 39*u + 2400. What is the units digit of u*10\/(-20)*(-1)\/(-1)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 92180 to the nearest integer?\nAnswer: 304","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 26*l + 9*l - 630 = -175 for l.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m**(10\/7)\/((m*m**8\/m)\/m))**35 assuming m is positive.\nAnswer: m**(-195)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 64222 divided by -118\nAnswer: -32111\/59","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 10529 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) be the third derivative of 5*s**4\/12 - 5*s**3\/2 + 19*s**2. What are the prime factors of i(5)?\nAnswer: 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 524584 is divided by 8599.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: -25281189 divided by 3\nAnswer: -8427063","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 24 and 3 - -6 - (1 - 4)?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 10265 is divided by 54.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 160 and 732405?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5388, 5, -5, -4\/7.\nAnswer: -5388, -5, -4\/7, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 227231?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00016639 rounded to five dps?\nAnswer: 0.00017","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 398d (base 16) in base 3?\nAnswer: 202012200","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 1093837 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: What is -e (base 16) in base 15?\nAnswer: -e","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 5*t + 2*y - 12, 0*y - 2*y + 2 = 0 for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 9\/23, -318, -0.4?\nAnswer: -318","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 9340*y**3 + 9322*y**3 - 27983*y**3 + 9329*y**3.\nAnswer: 8*y**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) = -k**2 - 8*k. Let g be (6\/(-4))\/(6\/32). Let h be y(g). Find the second derivative of -3*o + 3*o**3 + h*o + 2*o wrt o.\nAnswer: 18*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) = -211*a - 8420. Determine j(-40).\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 38 (base 16) in base 13?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1452525 and 17775.\nAnswer: 75","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 49*s - 384 = 37*s. Suppose 2*z = -c + s, 2*z = 7*c - 10*c + 92. Round c to the nearest ten.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1c5da1 (base 14) in base 13?\nAnswer: -297133","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) = 6*k**3 + 15. Let i(u) = 35*u**3 - 20*u**3 - 1 - 16*u**3. What is b(f) + 15*i(f)?\nAnswer: -9*f**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (1116\/31 - 36)\/(0 - -1). Let y(t) be the first derivative of u*t + 5\/2*t**2 - 16. Let n(h) = -8*h. Calculate n(y(r)).\nAnswer: -40*r","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*r + 9*r = 39. Solve 0 = r*f - 50 + 38 for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 8\/(-28) + 510\/21. Let t(c) = c**3 + 36*c**2 + 34*c - 25. What is the remainder when 6*(q\/4 + 0) is divided by t(-35)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 32\/240*-6*((-57)\/(-26) - 2)\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -73966, -1, 35 in ascending order.\nAnswer: -73966, -1, 35","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) = x**3 - 6*x**2 - x + 3. Let j be l(6). Let p be 0 + 0 + 3 - j. Let z = p - -10. Is z a multiple of 16?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -k**2 + 5*k**2 - 9*k**2 + (0*k + 5*k - 4*k)*(-8*k + 4*k + 6*k) + 4*k**2 - 3*k**2 - 19*k**2 in the form d*k**2 + x + o*k and give d.\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) = -11*a**3 - 9*a**2 + 20*a + 3. Let q(z) = -4*z**3 - 3*z**2 + 7*z + 1. Let b(v) = 17*q(v) - 6*y(v). Let o be b(2). Which is smaller: o or -9?\nAnswer: -9","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (6279 + 11)\/(1 + 0). What is w rounded to the nearest one thousand?\nAnswer: 6000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*r - 4*q + 372 = 0, -8*r - 7*q = -12*r + 394. What is the greatest common factor of r and 10?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 467 a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*w + 0*l + 2*l - 3 = 0, -3*l + 9 = 0. Does 13 divide ((w + 36)*1)\/(-1)*-1?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -204*o - 93*o + 105*o - 240*o + 34*o.\nAnswer: -398*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 0, 4, 502\/7?\nAnswer: 502\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-8)\/5 + (-176)\/6600*-2010.\nAnswer: 52","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (6\/7)\/2 - ((4 - 49) + (-72556)\/(-1309))?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 243231?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1603, -1594, -1573, -1534, -1471, -1378?\nAnswer: -1249","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + ((2 + (6*1*sqrt(704) + sqrt(704) - (sqrt(704) + 5*(sqrt(704) + sqrt(704) + 0))))**2 - (3 + -2 + (2 + sqrt(704))**2)*-4).\nAnswer: 14108","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 150 is divided by 146?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) = k + 5. Let g be (0 - 0\/1)\/2. What is the units digit of m(g)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*c + 2*g - 20, -5*c - 2*g - g + 40 = 0. Let j = 8 + -6. What is the third derivative of 5*l**5 + 2*l**5 - j*l**2 - 3*l**c wrt l?\nAnswer: 240*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2179 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Factor -r**2 - 903*r - 202130.\nAnswer: -(r + 410)*(r + 493)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 253 - 82. What are the prime factors of f?\nAnswer: 3, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) = c**3 + 3*c**2 + 2*c + 3. Let j be q(-2). What is the units digit of ((-29 - -3) + j)\/(-1)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1211, -1210, -1209?\nAnswer: -1208","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 540 and 15216?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Does 119 divide 99365?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 54 + 98 = 14*b + 24*b for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -0.054 + 0.238. Let j = f + -0.17. What is j rounded to 3 dps?\nAnswer: 0.014","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 99\/(-1)*((-18)\/63)\/(-15*(-12)\/(-210))\nAnswer: -33","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7 = -3*d + q, -2*q + 14 - 16 = -2*d. Solve -j - s - 7 = d*j, 5*j + 11 = -2*s for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*h = 4*h - 38673. Let q = -425456\/33 - h. Find the common denominator of -79\/18 and q.\nAnswer: 198","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -449.2 + 450.2. Is 737 at most as big as b?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_test"},"subset":"dm_maths"} +{"text":"Question: Differentiate -31 + 1 - 16*r + 48 + 52 with respect to r.\nAnswer: -16","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 138498 to the power of 1\/9, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 23679 - 23672 - (0 + -50).\nAnswer: 57","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {u: 6, a: 13}. What is prob of picking 2 a and 1 u?\nAnswer: 156\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -i**6 - 6558*i**5 + 3*i**3 - 44*i**2 - 13657*i wrt i?\nAnswer: -120*i**3 - 393480*i**2 + 18","meta":{"dup_signals":{},"source":"calculus__differentiate_test"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -6592 + 199c?\nAnswer: -4bf6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) = -9*r + 4. Let u(c) = -7*c + 7. Let p(k) = 2*i(k) - 3*u(k). Let s(l) = 2*l - 6. What is 3*p(w) - 7*s(w)?\nAnswer: -5*w + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 63434?\nAnswer: 2, 7, 23, 197","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((1*-1*sqrt(102))\/(sqrt(18)\/sqrt(3)*1))**2 - ((5 + -1*sqrt(17) + 3)*-1)**2.\nAnswer: -64 + 16*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 2.5 - 2.474. What is the second biggest value in -0.2, 0.2, y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) = o - 3. Let r be q(8). Find l, given that -6*l**4 - 20*l**2 + 4*l + r*l**4 + 71*l**4 - 3*l**3 + 49*l**5 = 0.\nAnswer: -1, 0, 2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) be the second derivative of 0*o**5 + 1\/4*o**4 + 0*o**6 - 1\/21*o**7 + 0*o**2 + 2*o + 0 + 0*o**3. What is the third derivative of w(n) wrt n?\nAnswer: -120*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*i - 39*i + 309 - 511 = 852 for i.\nAnswer: -31","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Express (2 + 3 + 87*o - 7)*(4 + 0 + 0) as x + r*o and give r.\nAnswer: 348","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/15 of a hour in seconds?\nAnswer: 240","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -1013113 (base 4) to base 6\nAnswer: -33051","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -12*(4\/(-12))\/((-42)\/(-6))?\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 u and 1 c when three letters picked without replacement from uugzczguc.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 32*n + 46*n - 1 - 18*n.\nAnswer: 60*n - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) = d**3 + 20*d**2 + 19*d + 14. Let j be a(-19). Is 43\/3 bigger than j?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 404 divide 41958107?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/25 of a litre in millilitres?\nAnswer: 120","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from dvwvwivwfgdigi. What is prob of sequence iwwd?\nAnswer: 3\/2002","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0.04 + -2.04. Suppose 2*f + 220 = 6*f. Let n = 221\/4 - f. Which is the closest to n? (a) i (b) 2 (c) -0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 9345 and 5837?\nAnswer: 54546765","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 3590796?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) be the first derivative of 0*n**3 + 27 - 4*n**2 + 0*n**4 - n + 13\/5*n**5. What is the second derivative of s(d) wrt d?\nAnswer: 156*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-14)\/49*2 + 2\/7.\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 45a4d7a + 0?\nAnswer: 45a4d7a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Does 104 divide 1612652?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Are -2899979 and -37699720\/13 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: -18 (base 9) to base 7\nAnswer: -23","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -8 + 41. What are the prime factors of t?\nAnswer: 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*2*sqrt(66))\/((sqrt(192)\/sqrt(4))\/sqrt(8)).\nAnswer: -2*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 3 + (406\/(-20))\/7. Let m(p) be the second derivative of 0*p**2 - 1\/3*p**4 - 1\/3*p**3 + 0 - g*p**5 + 2*p. Factor m(d).\nAnswer: -2*d*(d + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 61\/((-606340)\/(-4256)) + 2\/(-5).\nAnswer: 2\/71","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 14504.66um in kilometers?\nAnswer: 0.00001450466","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 15 a factor of 623?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y*y**25*y*y*y)\/y**(-1)*(y*y**(1\/5))**35 assuming y is positive.\nAnswer: y**72","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let -3*s**4\/7 + 9*s**3\/7 + 12*s**2\/7 = 0. Calculate s.\nAnswer: -1, 0, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 10025 is divided by 18?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) = 11*m - 15. Let o(h) = -21*h + 29. Calculate 7*g(j) + 4*o(j).\nAnswer: -7*j + 11","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*(-5 + (sqrt(240)*-1)\/(sqrt(12) + (sqrt(12) - (sqrt(12) - -2*sqrt(1452))) - sqrt(12))).\nAnswer: -5 + sqrt(5)\/11","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 4827 (base 10) in base 11?\nAnswer: 3699","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*r**5 + 30734 - 30734)*(0 - 4 + 3) + (-1 - r**2 + 3 - 9)*(4*r - 3*r - 2*r)*(2*r**2 - 2*r**2 - r**2).\nAnswer: -6*r**5 - 7*r**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 700253903 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: Calculate the remainder when 137 is divided by 30.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -3 - 0. Let l(o) = 4*o - 3. Let c(d) = -9*d + 6. Let j(u) = -2*c(u) - 5*l(u). Calculate j(g).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1663988 is divided by 3313.\nAnswer: 862","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1612?\nAnswer: 2, 13, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) = 1733*y - 4973. Calculate i(1).\nAnswer: -3240","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 46370388 and 60?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2 in -0.009, -6, 3\/5, 0.0738, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*j = -5*j - 2. Let x = -156 + 751. Suppose -j*w = 3*w - x. Is w prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: (8 - 228\/24)*(-2)\/(-12)\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, 1, -2, -1585, -4, 3 in increasing order.\nAnswer: -1585, -4, -2, 0, 1, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -50 take away 369848.7?\nAnswer: -369898.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0.5 + -0.8. Let o = -3.2 + 24.2. Let z = o + -17. Which is the second smallest value? (a) i (b) z (c) 1\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) = -k**2 + 153*k. Let v(h) = -5*h + 259. Calculate i(v(y)).\nAnswer: -25*y**2 + 1825*y - 27454","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -585*k - 441*k + 563*k**2 - 440*k - 432*k + 1896*k.\nAnswer: 563*k**2 - 2*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -20\/16629717 and 38\/273?\nAnswer: 116408019","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, 3, -716, -7, -1, 0 in ascending order.\nAnswer: -716, -7, -4, -1, 0, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1072888 + 444182 = -17675*u - 11015*u + 4509*u for u.\nAnswer: 26","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sort -32, 112, 7, 23 in increasing order.\nAnswer: -32, 7, 23, 112","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) = 2 + 2*s**2 + 2*s**2 - s**3 - s**2 + 3*s**2. Let l be q(6). Let y(h) = 4*h. What is y(l)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 3821470 and 22990?\nAnswer: 190","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*q - 29 = q. Suppose n = -2*n + 4*v + q, 0 = -4*n - v + 7. What is the units digit of n?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 2, 1\/3, -5730, -1\/7, -1.3?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 52205?\nAnswer: 5, 53, 197","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(153) - sqrt(153)*-2*1)*-5)\/(((sqrt(90) + sqrt(90)*-2)*5)\/sqrt(10)).\nAnswer: 3*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 1162 and 12.\nAnswer: 6972","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -279 - -276. Which is the second biggest value? (a) -0.2 (b) u (c) -36\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -13db9 (base 15) in base 16?\nAnswer: -f969","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -212111 + -2110332?\nAnswer: -2323103","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*l = -4*r + 9*r + 60, 5*r + 2*l + l + 25 = 0 for r.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((420\/18)\/14)\/((-328)\/30 - -11).\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {f: 6, n: 12}. Give prob of sequence ff.\nAnswer: 5\/51","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 3.172 + 0.918. Let f = l + 0.91. Which is the second smallest value? (a) f (b) -3 (c) 2\/5 (d) 11\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -19 - (-29 - ((-18 - -17) + -17))?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) = -119 - j**3 + 0*j + 17*j + 73 + 8*j**2 + 64. Let y be t(9). What is the greatest common divisor of 60 and y?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4 + (sqrt(432) + sqrt(432)*4 + sqrt(432) - sqrt(432) - sqrt(432)) + -3 - -1*(sqrt(432) - (sqrt(432) + sqrt(432) + sqrt(432)*-2 + 2)))**2.\nAnswer: -120*sqrt(3) + 10801","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 125 - 111. What is the closest to 2\/5 in r, 5, 0.4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1 by 14591566.\nAnswer: 1\/14591566","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -968*u + 1945*u + 2317*u.\nAnswer: 3294*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 47858282.\nAnswer: 2, 61, 392281","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -197114749*u**6 - 2*u**2 + u - 45166460 wrt u?\nAnswer: -23653769880*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 133*g = o + 131*g - 2, -3*o + 6 = -4*g for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1326 = u + 12*u. Let x = u - 99. Does 2 divide (x + 13)\/(-1 + 0)*-1?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -255, -475, -693, -909?\nAnswer: -1123","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many nanoseconds are there in 63742.83 milliseconds?\nAnswer: 63742830000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 12680477 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = y - 4*p - 173, 3*y + 3*p = 889 - 355. Suppose 4*j = j + y. What is the remainder when j is divided by (1692 - 1752)*(-2)\/10?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3998 is divided by 89?\nAnswer: 82","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) be the second derivative of -i**4\/12 - i**3\/2 + 2*i**2 - 7*i. Let q be p(-3). What is the remainder when 106 is divided by 355\/20 - (-1)\/q?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*i = 24 + 11. Let m(c) = c**2 - 5*c - 6. Let u be m(i). What is the third derivative of -r**5 - r**5 + u*r**2 - 6*r**2 wrt r?\nAnswer: -120*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) = -283*h - 2745. Let f be a(-11). Calculate the greatest common divisor of f and 161.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -g = -3*w + 11, 3*w - 4*g - 4 = 4. Suppose -5*j = w*b + 424, -89 + 430 = -4*j - 5*b. Let f = 98 + j. Solve h + h = 2*x - f, 13 = 4*x + h for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify q**(4\/5)\/q**(7\/4) assuming q is positive.\nAnswer: q**(-19\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -213893 or -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.011299 less than 0.1?\nAnswer: 0.088701","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-10)\/14 - (-2)\/2. Let d = 1684\/7 + -241. Suppose -18 = 4*f + 3*k, -f + 2*f - 2*k = 1. What is the closest to j in -0.1, f, d?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 121 and 12793.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (16*z + 8 - 8)*(-z + 3*z + 0*z)*(0 + 2 - 7).\nAnswer: -160*z**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) = 1012*r - 7090. Give y(7).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -1 or -10838616?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*d**2 + 1353000*d.\nAnswer: -4*d*(d - 338250)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -101111 - 212?\nAnswer: -102100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 218716052 to the power of 1\/9, to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Does 96 divide 450938208?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 144119903*d**4 + 2*d**2 + 128025688 wrt d.\nAnswer: 3458877672*d","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 88\/3 - 1141\/39. Which is greater: g or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 (base 7) in base 2?\nAnswer: 101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 7e25 - -150?\nAnswer: 7f75","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 6\/6066211 or -1?\nAnswer: 6\/6066211","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) = 14*n**2 + 65*n - 111. What is o(-6)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 782769761 to the nearest integer?\nAnswer: 922","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3 + sqrt(76))**2*-3 - sqrt(76).\nAnswer: -255 + 34*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, -5, 2, -2 in increasing order.\nAnswer: -5, -3, -2, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(44)\/(5*sqrt(12)\/sqrt(3)).\nAnswer: sqrt(11)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 2529922, 2529924, 2529926, 2529928?\n\"Answer: 2*q + 2529920","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Express -64*u - 50*u + 102*u in the form i + z*u and give z.\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 799074 and 964080.\nAnswer: 1854","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is -1457949 > -1457951?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: -5*-9.26\nAnswer: 46.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 7 - 71*z - 7 + (-3 + 7 - 1)*(z - 2*z - 3*z) to the form k + d*z and give d.\nAnswer: -83","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) be the second derivative of 127*q**7\/42 - 9*q**5\/20 + 12985*q**3\/6 - 319*q. What is the second derivative of g(b) wrt b?\nAnswer: 2540*b**3 - 54*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 83054508 and 42.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 176819?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, 0.043, 2.4, 0.9 in increasing order.\nAnswer: 0.043, 0.9, 2.4, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is thirty-three fifths of a milligram in micrograms?\nAnswer: 6600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) = 9*p - 13. Let a be s(5). Let u = -4 - -4. Let d = a + u. What are the prime factors of d?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) be the third derivative of 25*w**9\/504 + 17*w**5\/60 + 18*w**2. What is the third derivative of m(c) wrt c?\nAnswer: 3000*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence xj when two letters picked without replacement from ojthjtx.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -464.5 - -730. Round f to the nearest 10.\nAnswer: 270","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -5*d + 2*m - 1, 0 = -51*d + 53*d - 2*m - m - 4 for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: (204\/1020*-1*1)\/(2\/(-25))\nAnswer: 5\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) = 71*d - 1417. Let x be p(20). Solve -3*k + 6 = 2*a, -x*k + 4 = a + 1 for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) = -4*s. Let v(x) = x - 1. Let y be v(-3). Let d be w(y). Let p = d + -6. What is the tens digit of p?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 525\/50*(-2)\/(-28)*12. Let f(k) = -3*k**2 + 8*k - 6. Let l(c) = c**2 - c + 1. Let t(w) = f(w) + 2*l(w). Let a be t(4). Solve -1 = -a*z - y for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (1\/10)\/((-2)\/(-118)). Let i = p + -37\/5. Let w be -2 + 6\/15 + (-2)\/5. What is the nearest to 1 in -3, i, w?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 5 - 1)*(1253075*t**3 + 4136*t**5 - 1253075*t**3).\nAnswer: 4136*t**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Does 4037 divide 1428249826?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 5 (base 9) to base 16\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) = -6*u**2 + u + 2. Let n(w) = w**2 + 7*w - 6. Suppose -4*t + 56 = -5*z, 0 = z + z + 2*t + 8. Let a be n(z). Calculate l(a).\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 62 + 5. List the prime factors of u.\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from pimsinpl. Give prob of sequence lp.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Does 20 divide 61540?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) = -7*b + 62. What is k(10)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1147*u + 1280*u = 2261 for u.\nAnswer: 17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) = -q**2. Suppose 2 + 4 = m. Let y = m + -4. Let t(s) = s**2 - s**2 + s**y. Give t(a(x)).\nAnswer: x**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-4)\/(-10) - (-52)\/20. Find the third derivative of -11*d**2 + 13*d**2 - 8*d**2 + 9*d**g wrt d.\nAnswer: 54","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together 380483 and 2779.747.\nAnswer: 383262.747","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 5870442970481.5599753 + -5870353699277.36. Let b = 89271185 - m. Let j = b + 19.2. Round j to 6 dps.\nAnswer: 0.000025","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ooxdaeai. What is prob of picking 1 o and 1 x?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) = 314*r - 669. Let f be x(5). What is the greatest common factor of 34 and f?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let i = -66 - -91. Calculate the highest common divisor of 200 and i.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0001726 rounded to four dps?\nAnswer: -0.0002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 559254523.\nAnswer: 559254523","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) = 9*i. Is g(4) a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 420988 divided by -697\nAnswer: -604","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4970 - 12189 = -143*u - 4002 - 4933 for u.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) = -h + 1. Let c be (-90)\/25 + 2\/(-5). Let b(j) = -14*j + 14. Let w(u) = c*f(u) + b(u). Differentiate w(s) wrt s.\nAnswer: -10","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -15 + 3397*s**2 - 509*s**2 + 16.\nAnswer: 2888*s**2 + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) be the third derivative of p**5\/15 + p**2. Let g(f) be the second derivative of -26*f**3\/3 - 2*f - 14674. Give x(g(q)).\nAnswer: 10816*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 13\/5 of a decade in years?\nAnswer: 26","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify z**(1\/2)\/(z*z*z\/((z*z\/(z\/(z\/z**(-5\/4))))\/z*z)*z) assuming z is positive.\nAnswer: z**(-1\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is -3\/7228 bigger than 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) = 6*s**2 + s + 68. What is the thousands digit of g(-55)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -7.4? (a) -0.3 (b) 0.3 (c) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1561, -1574, -1613, -1690, -1817, -2006, -2269, -2618?\nAnswer: -3065","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 124*q**3 - 129*q**3 + 171*q**3 + 382*q**3.\nAnswer: 548*q**3","meta":{"dup_signals":{},"source":"polynomials__collect_test"},"subset":"dm_maths"} +{"text":"Question: Solve -53 = 2*s - 61 for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 570 is divided by 11.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-4)\/(-5 - (-835)\/165). Is 23 a factor of (q\/18)\/((-2)\/138)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*z + b + 90000 = -3*z, -3*z - 54000 = 4*b. Round z to the nearest 10000.\nAnswer: -20000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-52 - (-66 - -4)) + -65?\nAnswer: -55","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 1 = 2\/389?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) = 16*n. Let v(i) be the first derivative of -3*i**2 + 139. Give o(v(w)).\nAnswer: -96*w","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -3, -15, -41, -87, -159?\n\"Answer: -o**3 - o**2 - 2*o + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 126 + -69 + -123 + 72?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ppxxypp. Give prob of picking 1 y and 1 p.\nAnswer: 4\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((z\/(z\/(z*z*z\/(z*z**(-4\/3)*z)*z)))\/z)\/z*z\/(z*z**(1\/4))*(z**(2\/3))**(-8))\/((z**0\/z)**(-5)\/(z**(-4\/7)*z**(-3\/4))) assuming z is positive.\nAnswer: z**(-74\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) = 3*x - 6*x + x**2 - 7 + 2 + 8. Let s be b(3). Suppose -s*z + 4342489 = -9757511. What is z rounded to the nearest 1000000?\nAnswer: 5000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -1719 - -1744. Solve -3*j + 2*a - 19 = 0, 8 - c = 3*j - a for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) be the first derivative of 239*d**4 - d**3\/3 + 237*d**2\/2 + 5956. What is the third derivative of m(q) wrt q?\nAnswer: 5736","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -5, -18, -47, -98, -177, -290?\n\"Answer: -p**3 - 2*p**2 - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 39? (a) -46 (b) 4\/7 (c) -4 (d) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence aa when two letters picked without replacement from {d: 4, a: 16}?\nAnswer: 12\/19","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-16)\/(-42)*27\/(-18).\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-10)\/(-154)*11 + 0 + -1. Which is the third smallest value? (a) u (b) -3 (c) 5 (d) 1.4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 113 is divided by 60?\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*o + 40 = y, -4*o + 15 + 21 = -3*y. Suppose 9*b - 24 = o*b. Suppose -50 = 5*t - 5. Are b and t unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) = -u**3 - u**2 - u - 1. Let q(g) = g**3 - 3*g**2 - g - 1. What is -j(x) + q(x)?\nAnswer: 2*x**3 - 2*x**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) = -96*b**3 + 7*b**2 - 175*b - 34. Let t(d) = -94*d**3 + 6*d**2 - 150*d - 33. What is -7*t(w) + 6*z(w)?\nAnswer: 82*w**3 + 27","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {b: 3, q: 2, d: 6, j: 1, g: 3}. What is prob of sequence gd?\nAnswer: 3\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -64, -161, -320, -541, -824?\n\"Answer: -31*x**2 - 4*x - 29","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m*m*m**4)**(-3)*(m**2)**(13\/2))**(-1\/6) assuming m is positive.\nAnswer: m**(5\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n\/(n*n**(-10)))\/n**(-7\/3)*(n\/n**(2\/11)*n)**(-47) assuming n is positive.\nAnswer: n**(-2413\/33)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 3 - -1*(3 + 0 + 1). Suppose 2*c - 11 = -m, -c + u = 2*m - 2*c. What is the remainder when 13 is divided by m?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -101303003 - 1302?\nAnswer: -101310311","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) = 90*l**2 + 49*l - 135. Determine t(3).\nAnswer: 822","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) be the first derivative of -61 + 55*z - 1\/2*z**4 + 0*z**3 + 18*z**2. Differentiate h(w) wrt w.\nAnswer: -6*w**2 + 36","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) 0.003 (b) 2\/9 (c) 1 (d) -21 (e) -2\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -58004497 times -3?\nAnswer: 174013491","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:47 PM and 1:46 PM?\nAnswer: 59","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 4, -20, 0.1, -1056, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) = -218*t + 6105. Calculate h(28).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + sqrt(171) + -1 + 4.\nAnswer: 4 + 3*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) be the third derivative of 0*r + 0 - 1\/3*r**3 + 1\/12*r**5 + 0*r**4 - 5*r**2. Find the first derivative of i(b) wrt b.\nAnswer: 10*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (5 - -19) + -51 + 47.\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:13 PM and 9:37 PM?\nAnswer: 324","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 3787 + -3785. What is the nearest to i in -15, 10, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 37802049.9 rounded to the nearest 1000?\nAnswer: 37802000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) = -9105*v**2. Let q(m) = 5*m + 623. Give q(f(p)).\nAnswer: -45525*p**2 + 623","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 292 minutes before 10:25 PM?\nAnswer: 5:33 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.5, -0.23, -7, -2, -6 in decreasing order.\nAnswer: -0.23, -0.5, -2, -6, -7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) be the third derivative of -73*p**9\/504 + 13*p**5\/15 + 57*p**2. Find the third derivative of t(s) wrt s.\nAnswer: -8760*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -7130, -7131, -7132, -7133, -7134, -7135?\nAnswer: -7136","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 0\/(-1)*2\/2. Suppose -4*g - g + 25 = b. What is the units digit of g?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 351 is divided by 4.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 e when four letters picked without replacement from {e: 7, f: 3}?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {t: 1, u: 4, p: 2, m: 4, g: 1, i: 2}. What is prob of sequence ggi?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.607925362 rounded to four dps?\nAnswer: 0.6079","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -24710 = -389*f - 372*f + 55*f for f.\nAnswer: 35","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -301*x + 2 = -300*x for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) = 3*s**2 - 3*s - 173. Let f(g) = g**2 - g - 1. Let i(u) = 4*f(u) - z(u). Let r be i(0). Suppose 5*l = r + 381. What is the units digit of l?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 20334608?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12 = -2*w - 5*y + 47, w = 3*y - 10. Let d = 5.6 + -6. Put d, -1, w in ascending order.\nAnswer: -1, d, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -324 + -4?\nAnswer: -332","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-10)\/(-4)*(-804)\/25125?\nAnswer: -2\/25","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-4)\/22 + (-4958)\/(-407). Solve 3*z = -z + k for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 8*k**3 - 102*k**2 + 34*k**2 + 32*k**2 + 16*k**3 + 36*k**2.\nAnswer: 24*k**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) = 4*f. Let u(b) be the second derivative of b**5\/30 + 3*b**2\/2 + 3*b. Let q(g) be the first derivative of u(g). What is q(i(r))?\nAnswer: 32*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from qqgfgfqq. Give prob of sequence qffq.\nAnswer: 1\/70","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) = -4*j**2 - 3*j + 3. Let p(y) = -9*y**2 - 7*y + 6. Let l(a) = 2*a**2 - a. Let m be 1\/(2 - 44\/20). Let w = m + 4. Let x be l(w). Give x*p(f) - 7*v(f).\nAnswer: f**2 - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: -100001100111111101011 (base 2) to base 11\nAnswer: -69288a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: ((-2034)\/2373)\/(9\/((-13545)\/(-10)))\nAnswer: -129","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 4002242 (base 5) to base 2\nAnswer: 1111010101100110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*q - q = -3*f + 75, q + 2*f = 25. Let w = 46 + q. What is the units digit of w?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00000948181968 to 6 dps.\nAnswer: 0.000009","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) be the first derivative of b**4\/3 - 78*b - 40. Let u(c) be the first derivative of g(c). Let r(h) = -18*h**2. What is r(u(q))?\nAnswer: -288*q**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -8.0534 and -260.7?\nAnswer: 2099.52138","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) be the first derivative of -d**5\/20 - 5*d**4\/12 + 2*d**2 + 2*d + 2. Let o(r) be the first derivative of t(r). What is the units digit of o(-5)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 0.575 - 0.475. Is -57 < m?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) = -38730*v - 116537. What is p(-3)?\nAnswer: -347","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) = -p**2 - 12*p - 6. Give a(-12).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-6)\/18 + 20\/6. Let h = x - 1. Suppose -3*n + 49 = 5*j, -n - h*j + 9 = -4*j. What is the tens digit of n?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -4 + 6. Let x(m) = 7*m**l - 10*m**2 + 3*m - 3*m. Let i(t) = -11*t**2 + 8*t. Let p(u) = 4*u**2 - 3*u. Let w(a) = 3*i(a) + 8*p(a). What is x(w(n))?\nAnswer: -3*n**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -300 = -717*k + 692*k. What is the remainder when ((6 - 2) + -339)*-2 is divided by k?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*q + 8*r + 52 = 0, 0 = -5*q - 0*q + 5*r + 45 for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) = -3*n - 19. Let p be w(-10). Suppose -6*r - 350 = -p*r. Calculate the greatest common factor of 10 and r.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*u - 3 - 21 = 0. Sort -1\/5, u, -0.7, -1.\nAnswer: -1, -0.7, -1\/5, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.837482378+-0.133\nAnswer: 0.704482378","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*(sqrt(152) - (sqrt(152) + sqrt(152)*3))*-2)\/(5*(sqrt(8) - sqrt(32))*4)*1.\nAnswer: 3*sqrt(19)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 305 times 0.2?\nAnswer: 61","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Convert 61768.29 nanoseconds to milliseconds.\nAnswer: 0.06176829","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) = -c**2 + c + 79. Let x be n(0). Let m = 53521\/3180 - -3\/1060. What is the common denominator of m and -2 + x\/6 - 0?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -3179\/3, -6\/55, -1, 0.8?\nAnswer: 0.8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(204) + ((sqrt(204) + -2*sqrt(204))*-6 - sqrt(204)))*-4)\/(sqrt(192) + (-2*sqrt(192) - sqrt(192))*-5).\nAnswer: -3*sqrt(17)\/8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) = -2*h**3 - 3*h**2. Let a be u(-3). Suppose -29*p = -a*p - 14. Solve -3*k + p = 1 for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 8 - 18. Let s be (-20)\/o*34\/4. What is the greatest common factor of s and 68?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) = 7*p**2 - 13*p**2 - p + 4*p**2 + 4 + p**2. Calculate c(-4).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1a3aa5 (base 12) in base 11?\nAnswer: -2968a6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 408414218?\nAnswer: 2, 204207109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Product of -41 and -43.97.\nAnswer: 1802.77","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 1\/((-1185)\/(-295) - 4). Does 12 divide f\/(((-18)\/30)\/(-3))?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 53 a factor of 1841?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4729 - 4729 + 22*y.\nAnswer: 22*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 21 + -216?\nAnswer: -175","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-140)\/(-4)*2\/5. Let s(t) = 3*t - 18. List the prime factors of s(k).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) = s - 6. Let o be p(7). Is (-1)\/o - (-878)\/1 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 399\/4 or 100?\nAnswer: 100","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 v when three letters picked without replacement from jjvzvjzjavjjjjv.\nAnswer: 4\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-19)\/(171\/624) - -8 - ((-96)\/(-36) + -4).\nAnswer: -60","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in 3, 0.3, 12, -1\/8?\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 9360, 9362, 9362, 9360, 9356?\n\"Answer: -s**2 + 5*s + 9356","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 99 - 41. Let h = 45 - o. Let r = 12 + h. What is the third smallest value in 1\/3, r, 3, -4?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + ((-5*sqrt(891) + -3)*4 + 1)**2.\nAnswer: 3960*sqrt(11) + 356517","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 28\/371*(-84)\/(-112)*4\/6?\nAnswer: 2\/53","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-5 - 0\/4)\/(-1). Let x(b) = 2489*b - 5. Let n be x(2). Suppose -677 = -p*m + n. What is m rounded to the nearest one hundred?\nAnswer: 1100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.02 + -990997.\nAnswer: -990997.02","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 748 = -k + 6893. Let z = -2745 + k. Round z to the nearest one thousand.\nAnswer: 3000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 227492, 909929, 2047308, 3639629, 5686892?\nAnswer: 8189097","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 610429295.\nAnswer: 5, 7, 67, 163, 1597","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1472465181 to the nearest integer?\nAnswer: 1138","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Convert 6351.97l to millilitres.\nAnswer: 6351970","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*z**2\/5 + 22*z\/5 + 12 = 0. What is z?\nAnswer: -6, -5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -7 + 7. Let i(s) = -s**2 + s. Let h be i(u). Solve 0*o + 3*o + 12 = h for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 9 + (9 - -4 - 17)\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -329635000 rounded to the nearest 1000000?\nAnswer: -330000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -11, 0.54, 191, 1\/4, 1\/5?\nAnswer: 0.54","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Determine u so that -u**2\/3 + 51567226*u\/3 - 664794699333769\/3 = 0.\nAnswer: 25783613","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0001592755971 rounded to 5 dps?\nAnswer: 0.00016","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 194 + 3583. Is k\/2*6\/9 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be -3 - 9\/((-9)\/5). Suppose 0 = -2*i - z*j + 472, 4*i + i + j = 1196. What are the prime factors of i?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -138143019*3.\nAnswer: -414429057","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:46 AM and 3:50 PM?\nAnswer: 244","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (1 + 10\/(-25))*(6 + -11) - -57. Solve -34 = 4*j - v for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 2 + 9. Let l = 70 - 48. Suppose -j = -f - l. Is j a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (8*q - 5*q + 4*q)*(-9*q**2 + 9*q**2 - 15*q**3)*(2*q - 2*q - 2*q).\nAnswer: 210*q**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let t be ((-18)\/(-9)*1)\/2. Let q(n) = 17*n**2 + n. What is q(t)?\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of w**5 - 85*w**4 - 2*w - 35.\nAnswer: 20*w**3 - 1020*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) = -5*s**3 + s**2 - s + 3. Let d(t) = -4*t**3 - t + 2. Let m(a) = -6*d(a) + 5*x(a). Is 23 a factor of m(4)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) = -3*d**3 - 2*d - 5. Let b(u) = -6*u**3 - 5*u - 11. Suppose 27*f = -74 + 128. Calculate f*b(x) - 5*h(x).\nAnswer: 3*x**3 + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 20250 - 1009?\nAnswer: 1a242","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*z - 3*z - z + (2 - 1 + 0)*(-3*z + 4*z - 2*z))*(-4*z**2 - z**2 - z**2) - 2*z**3 + z - z.\nAnswer: 58*z**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from stbwwwtbxxtswwtxsbws. Give prob of picking 3 s and 1 x.\nAnswer: 4\/1615","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 28, 60, 114, 190, 288, 408, 550?\n\"Answer: 11*i**2 - i + 18","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 646 minutes before 4:04 PM?\nAnswer: 5:18 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 165\/11*(-15)\/(-45).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 26 = 208*i - 210*i for i.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: ((12648\/(-238))\/(-31))\/(1 - (-23)\/(-21))\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) = -x**2 + 1. Let u(y) = 1. Let q(f) = -3*b(f) + 3*u(f). Let z(i) be the second derivative of 0 + 0*i**3 + 3*i + 0*i**2 - 1\/12*i**4. What is z(q(n))?\nAnswer: -9*n**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Convert -132 (base 4) to base 8.\nAnswer: -36","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor -64*h**3 + 58355472*h**2 - 13302162667305*h - 13302221022841.\nAnswer: -(h + 1)*(8*h - 3647221)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 98 is divided by 16.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 446878, 893762, 1340648, 1787536, 2234426, 2681318, 3128212?\nAnswer: 3575108","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 401 or 378?\nAnswer: 401","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 655 minutes before 12:55 AM?\nAnswer: 2:00 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2561 + 2276 - 5849)*(11*w**3 - 2*w**4 + 3*w**2 - 1 - 11*w**3).\nAnswer: 2024*w**4 - 3036*w**2 + 1012","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 0.8 - 0.859. Let w = -0.0590178 - m. What is w rounded to five dps?\nAnswer: -0.00002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -0.8 (b) -5\/33 (c) -1\/6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 7516 + -4?\nAnswer: 7512","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (9 - 8) + 7 + 10 - 9?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = l + 4*l. Let a be 4 + 1\/(153\/(-110472)) + -2. Let z = a + 720. Is l equal to z?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) = 6*h. Let k(v) = -5*v - 1. Let x(l) = 2*d(l) + 3*k(l). Suppose 7*m = 2*m - 15. Let j be x(m). Solve j*q + 4 = 2*q for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) = -2*m**2. Suppose 5*k - 4*u - 147 = 0, k + u = -4*k + 132. Let b(h) = -k*h**2 + 58*h**2 - 17*h**2. What is g(b(a))?\nAnswer: -392*a**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -586997*a**5 + 3937981*a**2 wrt a.\nAnswer: -35219820*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) = -2*a**2 - 244*a + 189. Does 27 divide l(-68)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 80*h**4 - 25708*h**3 - 444848*h**2 + 7719580*h + 1957296 = 0. What is h?\nAnswer: -132\/5, -1\/4, 11, 337","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 408 - 408. Let w(q) = q**3 - 3*q**2 + 2*q - 1. Let x be w(3). Solve d = -k*d + x for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 175468*i*j**2 - i*j - 416541349*i + j**2 - 20*j wrt j?\nAnswer: 350936*i*j - i + 2*j - 20","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: -229 times -176.91\nAnswer: 40512.39","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 5*t*w**3 + 8*t*w**2 - 104*t*w + 2*t wrt w?\nAnswer: 30*t*w + 16*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -1638, -6647, -14978, -26589, -41438?\n\"Answer: 7*s**3 - 1703*s**2 + 51*s + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -w + 0*w = 16. Let h be (-2)\/6 - 217\/(-3). Let p be (1 + 0)*w\/h. What is the closest to 1 in p, 3, -3?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) = 1. Let z(x) be the second derivative of -x**3\/6 + x**2 - 9*x - 1. Give -7*r(s) + 3*z(s).\nAnswer: -3*s - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 39 and ((-9360)\/(-84))\/(20\/70)?\nAnswer: 390","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -5*h**2 - 10*h**3 + 2*h**3 - 5*h**3 - 15*h**2 wrt h.\nAnswer: -78","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) = f**5 - 6*f**3 + 2*f**2 + 7*f + 4. Let n(z) = z**4 - z**3 + z**2 - z. Let q(b) = i(b) - n(b). Factor q(l).\nAnswer: (l - 2)**2*(l + 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 43\/2900 and -44\/19575.\nAnswer: 78300","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find y, given that 2*y**2 + 3714*y + 33264 = 0.\nAnswer: -1848, -9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify s*s**21*s*s*((s**(-11)*s*s)\/s)\/s*s assuming s is positive.\nAnswer: s**14","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:26 PM and 9:59 PM?\nAnswer: 153","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) = -61*a + 971. Calculate f(16).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-4)\/10 + 6\/15. Put 4, -5, o in ascending order.\nAnswer: -5, o, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 23620.3 bigger than -1\/5?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -12 (b) -0.2 (c) 128.385 (d) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 930c - 13?\nAnswer: 92d9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2 + 854*p**3 - 3162*p**3 - 2141*p**3 + (6*p**2 - 3*p**2 - 2*p**2)*(0 - 2*p + 0).\nAnswer: -4451*p**3 + 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 13063 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -34 (b) -105\/8 (c) 2\/3 (d) -6\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 76770 and 315.\nAnswer: 537390","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -3*u**3*z - 20*u**3 + 3*u**2*z**2 - 5*u**2 + 3*u*z**2 + 369*u*z - u + z wrt u?\nAnswer: -18*u*z - 120*u + 6*z**2 - 10","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -455349*i**3 + 11*i**2 + 23664.\nAnswer: -2732094","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 352 a factor of 193193?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 410556 and 258?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 19 - 0 - -2 - (13 - (14 - 17))?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from oww. Give prob of sequence wo.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 957509 and 392.\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 237?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -162, -175, -188, -201?\nAnswer: -214","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -199842*x**4 + 9*x**3 - 8454677 wrt x?\nAnswer: -799368*x**3 + 27*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((r\/((r*(r*r\/r**2)\/r)\/r))**(-2\/97))**23)**19 assuming r is positive.\nAnswer: r**(-1748\/97)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 7 + (0\/3 - (-2)\/1). Calculate the greatest common divisor of f and 3.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: -52705 (base 11) to base 10\nAnswer: -76719","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify m**4\/(m*m*m*m*m**(14\/5)*m*m*m) assuming m is positive.\nAnswer: m**(-29\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*w**5 + 1996*w**4 - 10168*w**3 - 44416*w**2 - 32256*w = 0 for w.\nAnswer: -504, -2, -1, 0, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 2 + 3)*(5 + 1 - 4)*(6 - 4 + 0)*(-4*l + 8*l + l)*(7*l**4 - 7*l**4 - 15*l**4).\nAnswer: -600*l**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) be the second derivative of k**7\/840 + k**6\/180 + k**5\/120 - k**3\/3 + 5*k**2 + 4*k. Let m(o) be the second derivative of f(o). Factor m(d).\nAnswer: d*(d + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*u + 4. Suppose -3*d - z = d - 191, -u*d - 2*z = -88. Calculate the remainder when d is divided by 17.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) = 39*r + 10. Let w be p(10). Suppose x + 9*x - w = 0. Does 10 divide x?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -19836 + 19911. Calculate the remainder when 1035 is divided by l.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) = -5*a + 2. Let y(s) = 4*s - 3. Suppose q - 20 = 5*l, -9 = -4*q - l + 8. Let v(x) = q*j(x) + 6*y(x). Let o be v(0). Do -7 and o have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) = -2*i**2 + 13*i - 10. Let p be m(5). Suppose 0 = 2*n + 4*k - 3439 - 2495, p*k - 8896 = -3*n. Is n a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -25\/6144 and -38\/159.\nAnswer: 325632","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 1227 - 1215. Which is the third smallest value? (a) -1 (b) -11 (c) z\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 26784 to the nearest 1000.\nAnswer: 27000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4146 - -1186.\nAnswer: -2960","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*w + 2*z - 9 = -0*w, -4*w = z - 12. Let d be (w + -1 + -1)\/(2\/10). Let b(h) = h**2 - h - 17. What is the units digit of b(d)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find c such that -c**3\/9 + 13*c**2\/9 - 16*c\/9 - 64\/3 = 0.\nAnswer: -3, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 61061130.\nAnswer: 2, 3, 5, 13, 52189","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 37747 - 37712. Is t at most as big as 37?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -2794 - -2790. Let d be (-2)\/1*(-4)\/(-48). Suppose -4 - 1 = 5*r. What is the nearest to r in 1, d, a?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -682 (base 10) to base 13.\nAnswer: -406","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 3 - -112004?\nAnswer: 112011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {u: 3, e: 2, g: 3}. Give prob of sequence eu.\nAnswer: 3\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((84\/6)\/(-7))\/(6\/21)?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5 - (11 + -1 + 1) - -4.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 12 + -10. Sort t, -2, 4.\nAnswer: -2, t, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2*j - 5*j + 5*j)*(j**2 + 0*j**2 + 5*j**2) - 9*j**2 + 8*j**2 - 3*j**3 + 5010*j - 5012*j in the form w*j**3 + t*j + h*j**2 + c and give h.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) be the second derivative of 0 + 0*j**2 + 0*j**4 + 3\/2*j**3 - 4\/5*j**5 - 24*j. Find the second derivative of t(o) wrt o.\nAnswer: -96*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0.04 + -0.02. Let y = -2.98 - g. What is the closest to -0.2 in 0.2, y, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (7 + -7 - 4) + 6 - -11 - 21?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -y + 6*y + 4*d = -35990, 15 = -3*d. What is the hundreds digit of y\/88*8\/(-3)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) be the third derivative of -l**2 + 0*l**3 + 0*l + 0*l**4 + 1\/60*l**5 + 0 - 1\/210*l**7 + 0*l**6. Solve h(w) = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00658496477 to 7 dps.\nAnswer: 0.006585","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) = 53 - 30 + 9*d - 25 - 2*d**2. Let a be v(4). Solve -m = a*m - 6 for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ekk when three letters picked without replacement from hkkkjwkke?\nAnswer: 5\/126","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Does 12 divide (1 + -1 + 2345)*18\/45?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 331*o**2 - 759 - 749 + 1508.\nAnswer: 331*o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.001107916573 rounded to 6 dps?\nAnswer: -0.001108","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -6.832609 minus 13?\nAnswer: -19.832609","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Convert b (base 16) to base 3.\nAnswer: 102","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:24 AM and 7:33 PM?\nAnswer: 609","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) = c + 1. Let k(u) = -28*u - 534. Let p be k(-19). Let i(m) = m**2 - 2*m - 5. Give p*b(q) - i(q).\nAnswer: -q**2 + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (3\/2)\/((5\/8)\/((-260)\/(-48))).\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 50 + -53. Let q be t\/6 - (1 - 9\/6). Suppose 3*w + 35 - 17 = q. Let v(x) = x**3 + 6*x**2 - x + 1. Determine v(w).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000002923 rounded to 6 dps?\nAnswer: -0.000003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*(-4*6*(1 + sqrt(6336) + 2 + sqrt(6336) + (sqrt(6336) - (sqrt(6336) + 4 + -2*sqrt(6336))))*-5)**2.\nAnswer: -5529600*sqrt(11) + 2919657600","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 31, 134, 309, 556, 875, 1266?\nAnswer: 1729","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: ((-16)\/24)\/(10\/3)\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) = 2*i + 68. Is 12 a factor of b(-16)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 5 + 4)*(2 + 0 + 0)*(3*c + 0*c - c).\nAnswer: 28*c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 133, -5, 44, -3, 2, -4\/5?\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_test"},"subset":"dm_maths"} +{"text":"Question: Calculate 603*0.05.\nAnswer: 30.15","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -163 + 167. Suppose -3*a = -y*a - 4*w + 415, -5*w + 818 = 2*a. Is 57 a factor of a?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r*r\/(r\/r**(-1\/2)*r))\/(r\/r**(2\/15))*((r**(-3\/7)*r)\/r)\/r**(-4\/3))**46 assuming r is positive.\nAnswer: r**(-2231\/105)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 157 - (-1 + (0 - 2)). Suppose 2*p = -2*p + h. Suppose -p*j = -37*j - 153. What is the units digit of j?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {f: 2, s: 6, j: 3, t: 1}. Give prob of sequence jtss.\nAnswer: 1\/132","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (2 - 5) + (-3 - (4 + 2)).\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 37416378?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 6.748812mm?\nAnswer: 6748.812","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -5*k*u**2*z - k*u**2 + 2*k*u*z - 7*k*z - 2*k + u**2*z + 8*u**2 + u*z - 8 wrt u?\nAnswer: -10*k*z - 2*k + 2*z + 16","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*l - 17*q = -18*q - 8, 5*q = 4*l + 8 for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1908 = -8*b + 11*b. Let p = 792 - b. 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 -874*z + 459*z + 412*z + 30.\nAnswer: -3*z + 30","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Express -f + 0 + 5 - 4 - 13*f**2 + (-3 + 2 + 2)*(4*f**2 - 4*f**2 + f**2) in the form j + l*f + x*f**2 and give l.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 253 minutes after 8:43 AM?\nAnswer: 12:56 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0.069 - -93.931. Let q = 98 - y. Which is the closest to -4? (a) q (b) 0 (c) 0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 u and 1 p when two letters picked without replacement from zpfcfcuzunzp.\nAnswer: 2\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) = 17*y. Let o = -2 + -3. Let u(z) = -5. Let v(x) = 93. Let p(g) = 18*u(g) + v(g). Let q(k) = -k**2 - 5. Let f(l) = o*p(l) - 3*q(l). Give f(m(r)).\nAnswer: 867*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: (-1)\/3*(-7)\/14\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -36 = 11*u - 2*u for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 238114?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(33)\/((sqrt(11) - (sqrt(11) + (sqrt(11) - sqrt(44)\/sqrt(4))*-3)) + sqrt(11)).\nAnswer: sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -55, -111, -169, -229?\nAnswer: -291","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Express -4*b + b**4 + b**2 - 4*b**3 - 3 - 4*b**3 + 2*b**3 - 3*b + 5*b as z*b**4 + a*b**3 + k + c*b**2 + t*b and give c.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: ((-22)\/(-1))\/(-110)*(-15)\/(-2)\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 37\/12 or 3?\nAnswer: 37\/12","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 10, 34, 2\/3, 1\/3, 2, 2\/127?\nAnswer: 34","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 8837467 to the nearest integer?\nAnswer: 2973","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let z be ((-45)\/66 + (-10)\/(-55))*26\/4. Which is bigger: z or -1\/6?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) = -h**2 - 6*h - 2. Let g be (2 - 4) + (-5 - -2). Give b(g).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*l - 659 = 17*f - 22*f, 3*f - l = 394. Calculate the remainder when f is divided by 43.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-38)\/228 + 2602\/(-12). Which is the nearest to i? (a) -0.3 (b) -1 (c) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) be the third derivative of x**6\/40 - x**5\/60 - 3*x**4\/4 + 10*x**3 + 10*x**2 - 1. What are the prime factors of p(4)?\nAnswer: 2, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together 8291 and -7.09.\nAnswer: 8283.91","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 2791\/44 - 253\/4. Let r(z) = -2*z**2 + 26*z - 44. Let a be r(2). Find g, given that k + a*g - 2\/11*g**2 = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0.1 + 4.9. Let m = v + -4.9. Which is the biggest value? (a) -3\/8 (b) m (c) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1908 and 26448.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -415*j**2*q*t + 58419*j**2*t + 2*j*q - 3*j*t - 2*j + 2527*t - 85 wrt j?\nAnswer: -830*q*t + 116838*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -310 - 68?\nAnswer: -378","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 151673\/19 + -7981. Determine i, given that -66\/19*i**5 + 34\/19*i**4 + 0 + 62\/19*i**3 + 4\/19*i - r*i**2 = 0.\nAnswer: -1, 0, 2\/11, 1\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 18936 is divided by 20?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) = -18*y + 52. Suppose -3*o - 4*z - 11 = 0, 0 = -2*o - 5*z - 0*z - 19. Let h be k(o). Let p(l) = -5*l**2 - 2*l - 3. Calculate p(h).\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -3730 - -3734. Let x(a) = -6 + a**3 + 5 + 10*a - 6*a**2 - 7. Let v be x(n). Solve v = -8*z + 3*z + 20 for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) = -2*f + 18. Let c be a(7). Suppose -2*q + c + 2 = 0. Suppose 3*m - 5*z = 3, 2*m - 3*z = -2*m + 4. Solve 2*p = 3*p + 2*y + m, 0 = q*p - 2*y + 3 for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 482776429 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 3\/(3 - 2) + -3. Suppose -4*v - 21 = 3*j - k*j, -3*v = 4*j + 21. Let l be (-35)\/14 - (-2)\/4. Sort l, -5, -4, v.\nAnswer: -5, -4, v, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-1 + 1 + d)*(-3207 - 800 - 4686 + 387) to the form p*d + m and give p.\nAnswer: -8306","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -554 + 1855?\nAnswer: 1301","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 107970760?\nAnswer: 2, 5, 2699269","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -272 + 20?\nAnswer: -252","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) = 4*s + 5. Let r(d) = -d. Let m(a) = 6*r(a) - t(a). Find the first derivative of m(u) wrt u.\nAnswer: -10","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) be the third derivative of 0 + 0*u**5 - 17\/120*u**6 + 0*u**4 + 0*u + 15*u**2 + u**3. What is the first derivative of b(x) wrt x?\nAnswer: -51*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -14 - ((16 - 9) + (-6 - (-10 + 6))).\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 240 (base 5) to base 16\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (84\/(-18) + 3)\/(-1). Sort -0.5, -1\/3, -2\/21, d in increasing order.\nAnswer: -0.5, -1\/3, -2\/21, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6796*q - 436464 = -1777*q + 7105*q for q.\nAnswer: -36","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -16 - ((-2 - 25) + (-152 - -185) + -1 + -1)?\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 165 minutes after 5:53 PM?\nAnswer: 8:38 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Factor -53*j**5 - 2*j + 2*j + 56*j**5 - 3*j**3.\nAnswer: 3*j**3*(j - 1)*(j + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6.38296 less than -0.09277455?\nAnswer: -6.47573455","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0 or 2\/10291?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -1.5, 5, 0.05, -1\/6?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -598 + 597.5. What is the nearest to 3\/4 in -1\/6, m, 1, -5?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 1 or -29\/985185?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 730973873 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 278, 280, 282?\nAnswer: 284","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + -3*3*(sqrt(448) + (sqrt(448) - (sqrt(448) + -1 + sqrt(448)))) - (((-1 + sqrt(448))**2 - sqrt(7)*-4*-2) + 5).\nAnswer: -462 + 24*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -50661, -50534, -50405, -50274, -50141, -50006?\n\"Answer: a**2 + 124*a - 50786","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 119312 and 16?\nAnswer: 119312","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 53\/3 + -18. Let m = -414 + 196. Let p = -223 - m. Which is the closest to 2\/15? (a) i (b) p (c) 0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7\/8 of a microgram in nanograms?\nAnswer: 875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 29 + -25. Suppose 2*o + 248 = c*m - 98, 0 = -2*m - 5*o + 155. Calculate the remainder when m is divided by 22.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 773, 1470, 2169, 2870, 3573?\nAnswer: 4278","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10 = g - 3*d, 4*d + 2 = 2*d. Suppose -2*z + 9 = g. What is the highest common factor of z and 8?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2779 is divided by 105?\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12*f + 11266 = 860*f + 1057 - 4615 for f.\nAnswer: 17","meta":{"dup_signals":{},"source":"algebra__linear_1d_test"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1645 and 54660295?\nAnswer: 235","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -14 + 15. Let b(a) = -2*a**2 - a + 3*a**2 - 5 + 9 - 3. Calculate b(o).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -86, 23, 3, -4.\nAnswer: -86, -4, 3, 23","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1171534 and 129682?\nAnswer: 2198","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1397364944.\nAnswer: 2, 87335309","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2639 divided by 13.\nAnswer: 203","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 864 (base 10) to base 8\nAnswer: 1540","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10 = 43*t - 48*t. Let b be 3 + 2 + -6 + 37*t. Let j = -8 - b. Is j composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -8 + 14. Suppose 0 = -2*p + 5*p - w. Calculate the common denominator of 1\/p*94\/4 and 97\/22.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 3*o - 2*u - 11, -73*o + 71*o + 20 = 5*u for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) be the first derivative of -11*p**3\/3 + 13*p - 43. Let q(u) = 5*u**2 - 1. Let d(h) = -1. Let t(o) = -5*d(o) - q(o). What is 6*l(y) - 13*t(y)?\nAnswer: -y**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -11 + 125?\nAnswer: 114","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.5? (a) 2 (b) -3\/5 (c) -2\/33 (d) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose u + 3*j = 5*u - 11, 0 = 2*j + 10. Is u*(5 + 0) - (-4118 + 2) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) be the first derivative of -107*i**4\/4 - i**3\/3 - i**2\/2 + i - 64. Let q be -2 + (1 - -4) - 0. Let p be g(q). Round p to the nearest one thousand.\nAnswer: -3000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 12 - 35*t - 19 - 10*t + 76*t wrt t.\nAnswer: 31","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9 = 3*n, 4*u + 8*n - 55 = 5*n. Suppose 148 = 2*m - 38. What is the remainder when m is divided by u?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {q: 4, l: 4, s: 1, a: 1}. Give prob of picking 1 s and 2 a.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -0.38 + -0.12. What is the closest to z in 0.3, 0.4, -5\/4?\nAnswer: -5\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 456 by 3.\nAnswer: 152","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.735 rounded to two dps?\nAnswer: -0.74","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -622 + -4413?\nAnswer: -5235","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Divide -10320 by 645.\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 659042852 + -1.112\nAnswer: 659042850.888","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 5882 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -2, -17, -50, -101, -170, -257, -362?\n\"Answer: -9*z**2 + 12*z - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 23101344 (base 7) to base 12\nAnswer: 813556","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*s - 4*s + 88. Let b(o) = 10*o - s*o - 9 - o**2 + 11*o. Give b(0).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -148373955, -296747917, -445121881, -593495847, -741869815, -890243785?\nAnswer: -1038617757","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5 + (-234)\/(-42) + -1.\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-28*n - 23*n - 44*n)*(-2*n**3 + 2*n**4 + 2*n**3) + (-n - 1 + 1)*(3*n**4 - 3*n**4 + 2*n**4).\nAnswer: -192*n**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 i, 2 o, and 1 u when four letters picked without replacement from {y: 3, o: 2, u: 2, i: 2, q: 10}?\nAnswer: 1\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*w = 4*a - 71, -15 = 5*a - 8*a. Differentiate -9*p**3 - 11 + 23*p**3 - w wrt p.\nAnswer: 42*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -299 + 416. Calculate the highest common divisor of 156 and f.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-3 - m - 3 + 3)*(14*m + 4*m + 29*m) to the form o*m + h + t*m**2 and give o.\nAnswer: -141","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 2 and 2014?\nAnswer: 2014","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Divide 8255 by -1651.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1\/5? (a) 129 (b) 2\/15 (c) -0.4 (d) -5 (e) -1.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 681 - 643. Let o = 0 - -37. Which is smaller: o or h?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -1617 + 16434. Is s a multiple of 44?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 32, 144, 324, 566, 864, 1212?\n\"Answer: -z**3 + 40*z**2 - z - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*z + 5*z + 11 = 0. Calculate the least common multiple of 1 and z.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 253 minutes before 11:53 AM?\nAnswer: 7:40 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) = -f - 1. Let s(w) = -1206*w + 3 + 1208*w - 1 + 0 - 3. Suppose -3*u = -3*m + 12, 4*m + 1 = u + 20. What is u*l(d) - s(d)?\nAnswer: -3*d","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-2115)\/27 + (-14)\/(-6) + -2. Let q be f\/(-3) - ((1 - -2) + -3). What is the units digit of (q\/8)\/(2\/24)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -10 (b) 4 (c) -34 (d) -34\/5 (e) 1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5*f**3 + 2*f**3 + 39*f**3.\nAnswer: 36*f**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 380 a factor of 3225440?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 144\/54 - 6\/9. Calculate the highest common factor of l and 8.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4000719.\nAnswer: 3, 257, 5189","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 35 - 14. What is the units digit of h?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 5600 and 1000.\nAnswer: 200","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -5355 (b) 3\/4 (c) 5 (d) -2\/5 (e) -175 (f) -1\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -0.02 - 8.98. Which is the second smallest value? (a) 4 (b) -0.2 (c) q (d) -1\/4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -279 + 292. Which is the second smallest value? (a) -2\/3 (b) -8 (c) h\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-4)\/(-6) + (-4287)\/(-9). Suppose -f*r - 276 = -479*r. What is the tens digit of r?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) = 163 - w + 7*w + 6*w - 184. Let n = 14 + 4. Calculate the remainder when a(9) is divided by n.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2435 (base 6) to base 12\nAnswer: -41b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -1256 + 1259.4. Which is the nearest to y? (a) -3\/7 (b) 5 (c) -1\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -2 + -2. Let n(f) = f**3 + 3*f**2 - 5*f + 1. Let k be n(q). Solve -16 = -l + 5*v - 2*v, -k*v = 25 for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -538 - -603. Sort 4\/5, -0.4, -0.2, i in decreasing order.\nAnswer: i, 4\/5, -0.2, -0.4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be -1 + 4\/(-16)*-4. Suppose -o - 5 = -0, v = 3*g + 3*o - 150. Is g a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0.04 + 0.26. Let m = -16.78 + 0.18. Let v = 17 + m. What is the smallest value in -1\/2, q, v?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 0 - 2*g)*(0 - g**3 + 0) + (3*g**2 - 2*g**2 + 0*g**2)*(-1565*g**2 + 784*g**2 + 770*g**2).\nAnswer: -9*g**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -25813146 and 0.3?\nAnswer: -7743943.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is (14\/(-49)*1)\/(24\/(-1055796)) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 23 a factor of 1813688?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*v - 8*v = 674. Let c be (-8066)\/(-10)*85\/(-102). Let p = v - c. Find the common denominator of -23\/5 and p.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose y + 40 = 3*k, -4*k + 50 = -2*y - y. Suppose -13*x + 10 = -8*x. Calculate the lowest common multiple of (-21)\/x*4\/(-3) and k.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (4\/(8\/10))\/((-2)\/(-6)).\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*f - 13 = -3*j - 5*f, 0 = -5*j + 4*f - 3 for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 549?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 83\/4 + 29\/116. Solve 3 + j = 6*t for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 271, 1220, 2737, 4822, 7475, 10696?\n\"Answer: 284*j**2 + 97*j - 110","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is -20673 at most -653?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 25 = g - 6*g. Let i = g + 6. Is -1*(0\/i + -37) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 27133751 (base 8) in base 12?\nAnswer: 2050521","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 6293030, 12586036, 18879012, 25171946, 31464826, 37757640?\nAnswer: 44050376","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -59*h**2 + 12879*h + 12896*h + 12881*h + 12886*h - 64430*h + 12888*h.\nAnswer: -59*h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -516, -499, -458, -381, -256, -71, 186, 527?\nAnswer: 964","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*a - 150 = -795. Calculate the highest common factor of a and 43.\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) = 17*a. Let b(l) be the first derivative of -1\/2*l**2 + 7 + l. Let y(t) = -t**2 - 5*t + 5. Let m(p) = -5*b(p) + y(p). Determine m(x(v)).\nAnswer: -289*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -21542 = -17*g + 56845. Let o = g - 3289. List the prime factors of o.\nAnswer: 2, 661","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -2 - 0. What are the prime factors of (f\/(-4))\/(3\/42)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) = f - 8. Suppose 5*p - 4*v = p + 24, -v + 5 = 0. Let d(n) = -2*n + 16. Calculate p*k(r) + 6*d(r).\nAnswer: -r + 8","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 503117641?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: ((-16)\/4)\/(-16) - (26047\/(-244) - -96)\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*y - k + 302 + 177, -291 = -3*y + 3*k. Suppose -235 = c - 6*c. Suppose 0 = -3*b + 146 - c. What is the remainder when y is divided by b?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) = -d**2 - 12*d + 14. Let j be s(-12). Suppose -j = 2*c - 8. Sort -4, -2, c in increasing order.\nAnswer: -4, c, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 26740 - m**4 - 26743 + 11*m + 44*m**3 - 40*m**3 to the form c*m + i*m**4 + r + g*m**3 + f*m**2 and give g.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 317*a - 338*a = -29862. List the prime factors of a.\nAnswer: 2, 3, 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -2967589\/246 - -36193\/3. Calculate the common denominator of y and -53\/18.\nAnswer: 738","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2735?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 1044 and 33060?\nAnswer: 99180","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*d + y = 2*y + 22, 24 = -5*d - 2*y for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 3255 and 4515.\nAnswer: 105","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) 4\/7 (b) -1\/25 (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 37172?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -1043 or 779?\nAnswer: 779","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 12 + 2486\/(-209) + 87132\/19 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -139*v = -516963 + 516963 for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -8*c**2 - c - 7*c + 4*c - 8 + c to x*c + g + i*c**2 and give g.\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 3 (b) 0.1 (c) -13 (d) -39 (e) -1 (f) -21\/5 (g) 0\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 divided by -60?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14 = -q + 41. What is the units digit of q?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -56776*a**2 + 56773*a**2 + 3 - 2.\nAnswer: -3*a**2 + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 0.794 - 0.054. Let h = 0.44 - u. What is the third smallest value in 5, h, -0.2, 0.5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -12*n - 9*n + 84. Let r(j) = -34*j - 154. Let a(i) = -35*i - 155. Let b(k) = n*a(k) - 5*r(k). Differentiate b(f) with respect to f.\nAnswer: 30","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 31 + -35. Suppose -4*f = 2*r - 0*r + 8, -3*f - r = 4. Suppose -z = 4*z - 4*k + 12, 5*z = 3*k - 9. What is the closest to z in f, h, 3?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -18397, -9, 4, 7, -1 in decreasing order.\nAnswer: 7, 4, -1, -9, -18397","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 23867347 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 51995?\nAnswer: 5, 10399","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:00 PM and 3:16 AM?\nAnswer: 496","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is (15\/6)\/(15\/(-18))?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 834822511 to the nearest integer?\nAnswer: 28893","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is g in 4*g**3 - 288*g**2 + 1788*g + 2080 = 0?\nAnswer: -1, 8, 65","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*d**3 + 10212*d**2 - 22666455*d.\nAnswer: 3*d*(d - 1531)*(d + 4935)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-16)\/(-12))\/(-2)*(12 + -15).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence iii when three letters picked without replacement from {t: 12, i: 7}?\nAnswer: 35\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*(sqrt(2057) + -1 - sqrt(2057))*3.\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*m = -6*a - 26, -3*a + 3*m + 245 = 257 for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 324 minutes before 2:49 AM?\nAnswer: 9:25 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7 + 31 = 12*x. Suppose -x*p = -10 - 0. What is the derivative of -9*m**4 - 37 - p*m**4 + 25 wrt m?\nAnswer: -56*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) = -5*u**2. Suppose 3*d = 5*d. Suppose g = 4*l + 15, d = 3*g + g - 4*l - 24. Let m(s) = 2*s - g*s - s. Give v(m(i)).\nAnswer: -20*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1601 by 3624.\nAnswer: -1601\/3624","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*a + 0 = -4. Suppose -5*g + 4*y = -63, 4*g + 2*y - 65 + 25 = 0. Solve -2*u + a = g for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_test"},"subset":"dm_maths"} +{"text":"Question: Calculate 44 divided by -22.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -22 = -5*q - 2. Suppose -4*b = c - 12, -q*b - c + 12 = -5*c. Suppose 71 = 5*m - i, -b*i - 4 - 13 = -m. Is m a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -191, -1448, -4775, -11180, -21671, -37256, -58943?\n\"Answer: -168*m**3 - 27*m**2 + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*sqrt(7)*-1 + sqrt(84)\/(-1*sqrt(12)) + 2 + 2.\nAnswer: -3*sqrt(7) + 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sort 7, 3, -18 in decreasing order.\nAnswer: 7, 3, -18","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Are 189232871 and 189232871 non-equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0015822761 rounded to 4 decimal places?\nAnswer: 0.0016","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Divide 84024 by -42012.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {d: 2, k: 1, h: 1, y: 1, p: 2, e: 1}. What is prob of picking 1 e and 1 k?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*f - 28 = -0*f. Let z = f - 3. What is the lowest common multiple of 10 and z?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5645846 is divided by 473.\nAnswer: 118","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sum 2 and 36603.1.\nAnswer: 36605.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -533 - -507. Let o(a) = a**2 + 10*a - 2. Let q be o(7). Let d = q + z. What is the tens digit of d?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 162 + -240. Let n = i - -96. What is the greatest common divisor of 126 and n?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) = -12*h + 2. Let b be t(4). Let g be (-3)\/(-12) - b\/(-176). Let m = g + -81\/616. Which is smaller: m or 0?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -2994*v + 2 + 3227*v - 7 - 10 in the form p + j*v and give p.\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*(sqrt(72) + -1)**2*-5 - (5 + -1 + (0 + sqrt(72) - sqrt(72))).\nAnswer: -300*sqrt(2) + 1821","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*sqrt(112)*-1 + -3*(2 + sqrt(112)) + -1*(-2 + sqrt(112) - sqrt(112)) + (-1 + sqrt(112))*5)**2*-3.\nAnswer: -8643 + 1080*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*x - 3*c + 19, -13 = -x - 2*c - c. Let o be (-1)\/x*-1*4. Calculate the smallest common multiple of 4 and o - 7\/((-14)\/24).\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) = r + 30. Suppose 0 = -10*o + 8*o + 26. Let t(i) = -2*i - 63. Let u(x) = o*j(x) + 6*t(x). Calculate u(-6).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) = -n**3 + 5*n**2 - 2*n - 19. Calculate m(-3).\nAnswer: 59","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) = 689*a**3 - 8*a**2 + 10*a - 11. Is q(2) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) be the first derivative of 24*d**2 - 2*d - 59863. Let y(t) be the second derivative of t**3\/3 + t. What is y(o(z))?\nAnswer: 96*z - 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:12 AM and 12:45 PM?\nAnswer: 573","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 52432776 to the nearest integer?\nAnswer: 7241","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify x**17\/(x**(-18)*x)*(x**(-3))**7 assuming x is positive.\nAnswer: x**13","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 580\/69, -5, 0.5, -1\/6?\nAnswer: 580\/69","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 122361546 divided by -1?\nAnswer: -122361546","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -17730*r + 17714*r + 144 = 0 for r.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 86, 76, 52, 8, -62?\nAnswer: -164","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1251020 and 120?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -517767, -1035716, -1553665, -2071614, -2589563?\nAnswer: -3107512","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d be ((-1)\/2)\/(1\/(-12)). Suppose -d = j - 4. Is j greater than or equal to -2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.06220695 times -2\nAnswer: -0.1244139","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let v be -4*5\/((-60)\/(-21)). Let n be (4\/(-7))\/(-2) + (-75)\/v. Find the third derivative of -7*s**3 + n*s**3 + 39*s**2 + 25*s**3 - 7*s**2 wrt s.\nAnswer: 174","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((((m**7\/m)\/m)\/m)\/m)**(-3\/37)*((m\/(m*m**(5\/3)*m))\/m)\/(m**(-15\/2)*m))**(1\/75) assuming m is positive.\nAnswer: m**(23\/666)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -4.322196231 rounded to three decimal places?\nAnswer: -4.322","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 10 + (-1 - 1) + 0 and 12.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of -12 and 5312746350.\nAnswer: 5312746338","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) = -1337*f - 767. Let s(n) = 2673*n + 1543. Let z(h) = -5*k(h) - 3*s(h). Differentiate z(j) with respect to j.\nAnswer: -1334","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-10)\/25 - 144\/(-10). Let y = -11 + x. Solve -y*u + 15 = -0*u for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0703283 to four dps.\nAnswer: 0.0703","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 21, 5, -0.095?\nAnswer: -0.095","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -3 + 0\/(-7 + 5)\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 14 and 1190902118?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange f - 4*f + 5*f + (3 + 0 + 1)*(-31*f + 17*f - 44 + 15*f) + (2 - 3 - 1)*(2*f + 3*f - 4*f) to p*f + h and give h.\nAnswer: -176","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 12 a factor of 186372?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) = 2*w**2 + 26*w - 17. Let y be r(-14). What is the second derivative of y*i + 58 + 83*i**3 - i - 8*i wrt i?\nAnswer: 498*i","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, 8, 22, 2, 1931.\nAnswer: 2, 3, 8, 22, 1931","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -5 - -8. Suppose j - 114 = -k, 92 = 2*k + q*j - 141. Is k a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 738?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*j**5 + 1707*j**4 + 128901*j**3 - 5921559*j**2 + 54777060*j = 0. What is j?\nAnswer: -468, -135, 0, 17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 15250 - 2132?\nAnswer: 13114","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 1\/8 or -634778?\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 32 + 2. Let l = n + -11. Let g = -3 + l. Calculate the smallest common multiple of 4 and g.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) = b**3 + 10*b**2 + 9*b + 4. Let j be h(-9). Suppose -30 = l + j*l. List the prime factors of l\/(-8) - 388\/(-16).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (1 - 6 + 3)*(0 - 2 + 4)*(-29*g**3 + 29*g**3 + 2*g**4) as h*g + f*g**4 + c*g**3 + s*g**2 + u and give f.\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 49 minutes before 3:31 PM?\nAnswer: 2:42 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 475\/(-30) + 26\/(-156).\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -47\/17148 and 75\/10528.\nAnswer: 45133536","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 3118564546 to the nearest integer?\nAnswer: 1461","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.1? (a) 21810 (b) 3 (c) -0.3 (d) -5 (e) -0.2\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*j + z = -3*z - 4, -j + 3*z = 13. What is the remainder when 36 is divided by ((-2)\/j)\/((-1)\/(-26))?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 19 = d - 2*q, -5*d - q + 38 + 9 = q for d.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 not equal to -58\/422825?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 60770332, 121540665, 182310998, 243081331, 303851664?\nAnswer: 364621997","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in 0.03, -4\/7, -4, -0.07, -1, -1\/3?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -1085528*c**3*s**2 - 4450*c**3*s + 841*c**3 - 8*c*s**2 wrt s.\nAnswer: -2171056*c**3 - 16*c","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:51 PM and 11:50 PM?\nAnswer: 419","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 136748 is divided by 22790?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Does 10 divide 188898039?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 87318 is divided by 43655.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 10145 and -3.96?\nAnswer: -40174.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 14996 and 943164?\nAnswer: 3535921836","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) = 2*c. Let d = -300 + 282. Let j(b) = -23*b - 59. Let z(f) = d*i(f) - 2*j(f). What is the first derivative of z(l) wrt l?\nAnswer: 10","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) = 756*f - 637. Is p(25) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-6)\/28*((-152)\/24 - -5). What is the third biggest value in -13, -0.2, j?\nAnswer: -13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 1 + 0 + 1 - 3 + 1 + (2 - 2 - 2)*(1 + 3 - 3) + 3 - 2 + 1)*(8*t**5 + 7*t - 7*t**5 - 4*t).\nAnswer: -2*t**5 - 6*t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8 = 5*w - 3*w. Let m be (-1 - 24\/(-18)) + (-5)\/(-3). Sort w, -5, m in descending order.\nAnswer: w, m, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j*j*j\/(j\/(j*j\/j**(-5\/3)))*(j**(-2\/9)\/j*j)\/j)\/(j*j*j*j*j**3)**(-1\/10) assuming j is positive.\nAnswer: j**(463\/90)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -63*x - 318*x = 48*x + 858 for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (5180\/(-30) - 3) + (-4)\/(-6). Let s = -162 - i. Which is the third biggest value? (a) s (b) 3 (c) -2\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 142741 is divided by 2631.\nAnswer: 667","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w**(-1))**2*w**(3\/4)\/w**(-3))**(1\/46) assuming w is positive.\nAnswer: w**(7\/184)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 407 is divided by 6.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose l - 3*w + 1 = 0, -3*l + w + 3*w + 2 = 0. Suppose k = l*k - 62. Suppose -4*a + k = 14. List the prime factors of a.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -8.38 - -0.78. Let r = 0.4 - w. Let q = 1361\/9 + -151. Put 0, q, r in increasing order.\nAnswer: 0, q, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 19*q = -4*d + 14*q + 25, 0 = -5*d + 3*q - 15 for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 11 - 10. Let b be f*6*(-1)\/2. Let j(h) = h**3 + 4*h**2 + 2*h - 3. What is j(b)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (283\/(196119\/(-1188)))\/((-3)\/28)?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*c**3 - 30*c**2 + c**4 + 30*c**2 - 9*c**4 - 13*c**4 - 9*c**4 + (-2 + 0 - 2)*(2*c**4 + 2*c**4 - 6*c**4) + c**4 - 3*c**4 + 3*c**4.\nAnswer: -21*c**4 + 2*c**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*v - 9*v - 225. Suppose 5*w + 78 = -k, -2*k + 42 = 3*w + 184. Let f = v - k. What is the units digit of f?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) = -9*i - 321. Let r be s(-36). Find the third derivative of 8*y - 24*y + 13*y - 20*y**2 + r*y + 236*y**5 wrt y.\nAnswer: 14160*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 37*b - 51950000 = 42*b. Round b to the nearest 100000.\nAnswer: -10400000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 3.8 + -6.8. Let j = 8 - 12. Let i = 9 - 4. What is the second biggest value in i, j, a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 876 and 19584?\nAnswer: 1429632","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (2\/(-68)*-17*1)\/(22\/(-8)).\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 5\/6 of a year?\nAnswer: 10","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.222 to two dps.\nAnswer: 0.22","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 850?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) = -k**3 - 2*k - 1. Let d(p) = -p**3 - 4*p - 2. Give -4*d(w) + 7*t(w).\nAnswer: -3*w**3 + 2*w + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) = -6*w - 12. Let c(f) = -11*f - 23. Let n(j) = 3*c(j) - 5*k(j). Let y be n(16). Calculate the remainder when 57 is divided by y\/(-2) + (-9)\/(-18).\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum 0.07 and 3671336.276961.\nAnswer: 3671336.346961","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -607310 or -607309?\nAnswer: -607309","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: (((-58)\/870)\/(2\/6))\/(3\/3)\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 6*(-2)\/4 + 7. Let h = 375 - 218. Suppose c*f = h - 33. What is the greatest common divisor of 62 and f?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((1\/(-5))\/((-1488)\/620))\/((-2)\/(-78))?\nAnswer: 13\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 + 0 + -15 - (-32 - 12).\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -10.4 - -17.4. Let t = g + -6.99834. What is t rounded to four decimal places?\nAnswer: 0.0017","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (1\/15)\/(42\/(-210)). What is the closest to m in 0.4, 0.6, -0.4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4 + 8 + -6 + 7 - 9.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*s**4 - 3*s**3 + 3*s**3)*(3*s - 4*s + 11*s) + (-7*s**3 + 4*s**3 + 0*s**3)*(s**2 - 3*s**2 - s**2).\nAnswer: -21*s**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 174 and -0.1?\nAnswer: -17.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) be the third derivative of -q**6\/80 + 171*q**5\/40 - 1635*q**4\/16 + 4025*q**3\/4 - 2899*q**2. What is k in i(k) = 0?\nAnswer: 5, 161","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -37\/61 and -49\/305.\nAnswer: 305","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -40087 (b) -10 (c) 4\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 = -534*a + 535*a - 0. What is x in -2\/13*x**a - 12\/13*x**2 - 18\/13*x + 0 = 0?\nAnswer: -3, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum -13 and -16852.0469.\nAnswer: -16865.0469","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -4072, -8313, -12718, -17287?\nAnswer: -22020","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 71 = 2*o - 3. Let y(h) = o*h - 71*h + 36*h. Let p(j) = j**2. Calculate p(y(k)).\nAnswer: 4*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) = 91*o**2 - 2*o + 30. What is the hundreds digit of f(3)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k = -2*o - 387, o + 189 = 2*k - 4*k. Let f = -102 - o. Let z = f - 53. What are the prime factors of z?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6*d + 9*d - 21*d**2 - 21*d**2 + 67*d**2 - 26*d**2.\nAnswer: -d**2 + 3*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*l + 19 = -5*s, -3*l - 2 = 4*s + 16 for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.06565 rounded to three decimal places?\nAnswer: -0.066","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1 or 21\/110964236?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 13660499 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-21)\/14*8\/42. Let x = -27 - -27.5. Let d = 2.5 - x. What is the closest to d in -0.2, h, -2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of ((-51)\/(-153))\/((-2)\/(-18)) and 651?\nAnswer: 651","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) = 112*b**2 + 12*b + 2. Let m(o) = -45*o**2 - 5*o - 1. Calculate 12*m(c) + 5*x(c).\nAnswer: 20*c**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 63 and 21231?\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-503*v**3 + 374*v**3 + 8*v**2 + 387*v**3)*(-v**2 + v**2 - 8*v**2).\nAnswer: -2064*v**5 - 64*v**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 77 - 132. Let l be (-4)\/(-20) + 21\/m. Is -1 <= l?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 0.05 - 5.05. Let u = 18 + -6. Suppose l - 4*g = 3*l - u, 4*g - 20 = 0. Which is the second smallest value? (a) 3 (b) r (c) l\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 2571 and 5132573.\nAnswer: 857","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 4 - (-3 - ((-7)\/(-1) + 564)). Calculate the highest common factor of 17 and l.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-1)\/4 + (-242)\/(-8). Let d = -3424 + 3499. What is the greatest common divisor of o and d?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) = q**2 - 6*q + 5. Let i be v(3). Let h = 8 + -24. Let r be (i\/h)\/((-1)\/4). Which is the closest to r? (a) -3 (b) 1\/4 (c) 4\/9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 1\/(((-2)\/6)\/(-1)). Suppose -5*q - t*c + 143 = -0*c, -2*q + 55 = -c. Solve -2*p - 4*x = q, -2*p = 2*x - 0*x + 18 for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*h = 4*h + 4. Suppose 3*s - 11 = -5. Find the second derivative of -4*w**s + 2*w**2 + 2*w + h*w**2 + 5*w**4 wrt w.\nAnswer: 60*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*m = 2*a - 10*m + 4, 3*m + 48 = -3*a. Let y be 105\/(-10)*a\/9. What is the highest common divisor of 35 and y?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 649*f**3*w - 9*f*w - 4*w wrt f.\nAnswer: 3894*f*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) = -2*r**3 + 11*r**2 - 6*r + 9. Determine b(6).\nAnswer: -63","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 4861 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5 + (2*sqrt(112) + -3)*-5 + (sqrt(112) + -2)*6 + -4 + (0 + sqrt(112) + sqrt(112) - sqrt(112)))**2.\nAnswer: 144*sqrt(7) + 1044","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) = -o**2 - 41*o - 300. Calculate r(-7).\nAnswer: -62","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((n**(-8\/3)\/n)\/((n\/n**(-3\/2))\/n))**(-12\/11))**36 assuming n is positive.\nAnswer: n**(2232\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*((-2*sqrt(110) - sqrt(110)) + sqrt(110)))\/((sqrt(50) - sqrt(800))\/sqrt(5) + sqrt(10)).\nAnswer: 2*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 416 minutes before 8:47 PM?\nAnswer: 1:51 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 216680 divided by 54170.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 221878?\nAnswer: 2, 110939","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 215535 - 215535.02699784. Let m = -0.027 - b. What is m rounded to 7 dps?\nAnswer: -0.0000022","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) = t**3 + 5*t**2 - 5*t - 14. Let b be k(-8). Is b greater than -166?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 77 - 25. Find the second derivative of -282*w**3 - 26*w - q*w + 304*w**3 wrt w.\nAnswer: 132*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -583613*h**3 - h**2 + 69*h - 405 wrt h.\nAnswer: -3501678","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) = -6942855*r - 19. Let q be u(7). Let k be (-10)\/(-45) - q\/(-18). What is k rounded to the nearest 100000?\nAnswer: -2700000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 30\/8*(-536)\/(-201) - (-300)\/(-15).\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-8 - 2 + 5 + (-2 + 2 - 2)*(0 + 0 + 1))*(-12*o - 8 + 8) in the form s + f*o and give f.\nAnswer: 84","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 70469 is divided by 5416.\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 1 (base 2) to base 6\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) = -y - 1. Let l(o) = 58*o**2 - 2*o + 19. Let i(d) = l(d) - 3*n(d). What is the second derivative of i(u) wrt u?\nAnswer: 116","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-3 + 4 + 1 - 2*w)*(7*w - 6*w - 6*w)*(-4 - 4 + 1)*(2*w**2 - 3*w**2 + 0*w**2) in the form h*w**2 + c + j*w**4 + k*w**3 + d*w and give k.\nAnswer: -70","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -12 + (-546)\/(1764\/(-42))\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10 = 4*v + w, 2*w - 4 = 2*v - 2*w. Let t(p) = 4*p + 6. Let l be t(5). Which is smaller: v or l?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add -42960356290 and -334.\nAnswer: -42960356624","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Do 2109 and 6331\/3 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 36*t - 69*t + t.\nAnswer: -32*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: (2\/(-30))\/((-1581)\/930)\nAnswer: 2\/51","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*p - 10 = -5*t + 4*t, 3*p - 14 = -2*t. Let -p*u**4 - 5*u**3 + 37 + 3*u**3 - 8*u + 9*u**3 + u**5 - 37 + 6*u**2 = 0. What is u?\nAnswer: -1, 0, 1, 2, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) = -2*j - 3. Let u(y) = -5*y - 9. What is -8*r(o) + 3*u(o)?\nAnswer: o - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -5.94394513 rounded to three decimal places?\nAnswer: -5.944","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -462970*q + 463023*q - 159 = 0. Determine g, given that -4\/7*g**2 + 6\/7*g + 4\/7 + 2\/7*g**5 - 8\/7*g**q + 0*g**4 = 0.\nAnswer: -1, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millennia are there in 995.5469 years?\nAnswer: 0.9955469","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*j - 35 = 16. Suppose -5*c = -3*i - j, -2*c + 3*i - 11 = -4*c. Is c*(195\/6)\/5 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) be the first derivative of d**6\/15 - d**4\/6 + 3*d + 3. Let w(q) be the first derivative of f(q). What is the third derivative of w(u) wrt u?\nAnswer: 48*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -90372055*j**3 + 1265*j**2 - 4*j + 107?\nAnswer: -542232330","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -32*g + 1344 = -20*g. Calculate the common denominator of 19\/84 and (-15500)\/279*(-6)\/g.\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3432\/120 + ((-110)\/(-25) - 4)?\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -84895, -84782, -84653, -84502, -84323, -84110?\nAnswer: -83857","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -88 = -2*i - 4*l, 3*i - 195 = -3*l - 63. Suppose -42*n + i*n = 530. What is the hundreds digit of n?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 235 - 394. Let b = m + 159.2. Which is smaller: b or 0.56?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 33\/856 and -93\/44.\nAnswer: 9416","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) = -32*q**2 + 1692*q - 3062. Determine a(51).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, 4, -23, -1000, 3 in descending order.\nAnswer: 4, 3, -4, -23, -1000","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 472951?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -1132316, -1132326, -1132360, -1132430, -1132548?\n\"Answer: -2*t**3 + 4*t - 1132318","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Divide -140 by 35.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 67120?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 327 minutes before 7:59 PM?\nAnswer: 2:32 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 minutes before 7:24 PM?\nAnswer: 7:22 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -1.97 and -100.\nAnswer: 197","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let m be ((-3)\/(-2))\/(15\/20). Suppose -2*r + 14 = 4*k, 22 = -r - 3*r + m*k. What is the closest to -2\/7 in -16, -1, r?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(450)\/(-2*sqrt(9)))\/(sqrt(20)\/sqrt(2)*-6 - sqrt(10)) - (-2 + ((sqrt(25)\/sqrt(5) + 0)*-2)**2).\nAnswer: -18 + sqrt(5)\/14","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose a - 9 = -4*q, 4*q + 4*a + 0*a = 12. Suppose 45 = q*o - 5*v, -6*o - 4*v + 30 = -o. Calculate the remainder when -4 - (-3 - (3 - -36)) is divided by o.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -p + 11 - 2 = 0. Is (1941\/p)\/((-1)\/(0 + -3)) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 15652314 is divided by 2608689.\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) = -2*a + 8 + 3*a + 0 + 2. Suppose 2*q + 3*q - 45 = 0. Is 9 a factor of g(q)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -17, -16, -15, -14, -13, -12?\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 570 minutes after 3:45 AM?\nAnswer: 1:15 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 3*y + 15, 5*y = -5*c - 13 + 3 for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) = -3*l**3 - 2*l**2 - l - 5. Let d(i) = 16*i**3 + 11*i**2 + 5*i + 26. Give -4*d(y) - 22*z(y).\nAnswer: 2*y**3 + 2*y + 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*d + 5 = -2*c + 35, -4*d + 5 = 5*c. What is the common denominator of ((-2)\/(-30))\/(2\/(-39)) and (c\/(-25))\/(2\/435)?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) = -14*y + 1. Let c be h(1). Let r be (-1)\/(6\/(-81)) + 14\/(-28). Let i = r + c. What is the closest to -2 in 0.3, -5, i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 86\/15 and (2\/((-8)\/(-37)))\/(81\/(-6)).\nAnswer: 270","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) = 2*z**3 - 49*z**2 - 2*z - 513. Determine y(25).\nAnswer: 62","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is t in 120*t**3 - 1283409*t**2 + 9074175*t - 673344 = 0?\nAnswer: 3\/40, 7, 10688","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*a + 8 = 4*a. Let w(b) = -28*b + 6. Let q be w(3). Let y be (-48)\/(-192) + q\/(-8). Solve -y = d + a*d for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -37 - -39. Suppose -5*a + l*g = -204, 3*a + 2*g - 129 = g. Let x = a + -42. Put -5, x, -13 in descending order.\nAnswer: x, -5, -13","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-6*x + 2*x + 5*x)*(61 - 4*x + 264 + 2*x) as z*x + h*x**2 + p and give z.\nAnswer: 325","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) = -3*u - 12. Determine y(-8).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-3 - 2 - 2)*-431. Let b = -1867525\/619 + w. Is 0 at least as big as b?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) be the third derivative of 0 + 0*q**3 + 1\/12*q**4 + 29*q**2 + 0*q. Let l(g) = 17*g**2 + 14*g**2 + g**2 + 9*g**2. What is j(l(t))?\nAnswer: 82*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 1122 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 284*b - 283*b - 24282 = 5*o, 4848 = -o - b. What is the second biggest value in 3\/5, 1\/3, o?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*4*((sqrt(252)*1)**2 + 5 + 5).\nAnswer: 4192","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:06 PM and 1:42 AM?\nAnswer: 636","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-4 - -8) + 1 + 1. Let g(y) = 2*y**3 - 2*y + 7*y**2 - 6*y - 6 + 8 - 3*y**3. Calculate g(r).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 439879559 to the nearest integer?\nAnswer: 761","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) = 21*n**2 - 6*n - 44. List the prime factors of k(-5).\nAnswer: 7, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 30265 divided by -5\nAnswer: -6053","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 791 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 3\/8 (b) -5 (c) 3 (d) -0.0147\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 8098898?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -47440*a*h**3 - 101*a*h**2 - 5*a*h + 125*a + 13*h**3 - h**2 wrt h?\nAnswer: -284640*a + 78","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {q: 2, c: 1, y: 4}. What is prob of picking 1 y and 1 c?\nAnswer: 4\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 43486430.\nAnswer: 2, 5, 13, 334511","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:56 PM and 4:07 AM?\nAnswer: 251","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) = 4*f + 16. Calculate b(-3).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (1*-46)\/(4580\/(-2290)).\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 8990269 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20 = q - 17. Let a be (-156)\/6*(9\/6)\/q. Suppose -4 + a = f. Solve 3*l + f = -3 for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 3 - 3\/9*0. Suppose -t*w - 3*j + 24 = 0, -3*w + 5*j = -2*w - 26. Calculate the smallest common multiple of w and 5.\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*f + 16 = 4*f. Let n = 17\/6 + -107\/42. Which is the closest to -1\/7? (a) f (b) 3\/7 (c) n\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 215190707 + -9.067\nAnswer: 215190697.933","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 4664160\/42660*3\/4\nAnswer: 82","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -37 - -46. Let t(d) = -4 + 35*d - g + 14 - 8. Calculate the remainder when t(2) is divided by 22.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*d + d + 5*c - 390 = 0, 4*c = -4*d + 392. Let b = -163416 - -163596. Calculate the highest common divisor of b and d.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*y = -0*y + 5*j + 15, -5*y + 45 = -4*j for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*u + 5*z - 7 = 0, 2 = 3*u - 3*z - 1. Suppose u*n + 5*j = -10, 2 = 3*n - 0*j - j. Let f(r) = -2*r + 2*r + 4*r + n*r. Let x(y) = y. What is x(f(g))?\nAnswer: 4*g","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + 4*((-3*sqrt(136)*2 - sqrt(136))*-3)\/(sqrt(72) - sqrt(72)*1*-3).\nAnswer: 1 + 7*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:52 AM and 10:36 AM?\nAnswer: 344","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -y - 5*o = 15, 3 - 4 = -y - o. Suppose v = 0, 0*x + 5*v = -y*x + 10. Solve -x*s - 2*f = s - 16, -5*f + 25 = 0 for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1048675292 to the power of 1\/2, to the nearest integer?\nAnswer: 32383","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0 - ((625 - 611) + 0 + (2 - 67))?\nAnswer: 51","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) be the first derivative of a**4\/21 - 16*a**3\/21 + 21*a - 14. Let i(b) be the first derivative of z(b). Let i(t) = 0. What is t?\nAnswer: 0, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*s + 3*d = -d + 17, 0 = 2*s + d - 13. Suppose 3*t = 19 + 5. What is the remainder when 1\/((-1)\/(-20)*(9 - t)) is divided by s?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) = -13*b + 66. Let h be c(5). Which is smaller: 4\/29 or h?\nAnswer: 4\/29","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 682 minutes after 7:20 PM?\nAnswer: 6:42 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {p: 4, v: 1, l: 2}. What is prob of picking 2 p?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 0 + 5 - 1216\/208. Let m be -6 + (-132)\/(-11) - 6. Which is bigger: w or m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:45 AM and 10:47 AM?\nAnswer: 62","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 29975852?\nAnswer: 2, 271, 27653","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand -25*x**2 + 14*x**3 + 25*x**2 + 0*x**3 - 2*x**3 + 0*x**3 + (4*x - 4*x + 2*x**2)*(-2*x - 3 + 3) - x - x**3 + x.\nAnswer: 7*x**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) = -a**3 + 8*a**2 - 6*a + 5. Let r be c(7). Solve 0 = k - 4*k - r for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {m: 1, h: 4, v: 1, z: 11}. What is prob of sequence hhzm?\nAnswer: 11\/4760","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) = 4*u**2 - 1. Let w(k) = 21*k**2 - k - 5. Suppose 5*r - 38 = 3*f, 0 = 5*f + 9*r - 5*r + 51. Give f*d(o) + 2*w(o).\nAnswer: -2*o**2 - 2*o + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is ((100\/75)\/((-126)\/27))\/(-1)?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 b, 1 e, and 2 q when four letters picked without replacement from {b: 3, h: 4, v: 7, q: 3, e: 2}?\nAnswer: 3\/646","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.6189 rounded to 1 dp?\nAnswer: 0.6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -470346279 divided by 3?\nAnswer: -156782093","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -675344.31 less than -19081?\nAnswer: 656263.31","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 566057469 to the power of 1\/2, to the nearest integer?\nAnswer: 23792","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -58 + 397. Let c = f - 343. Put 31\/9, c, 2\/17 in increasing order.\nAnswer: c, 2\/17, 31\/9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 74\/21 and -55\/56.\nAnswer: 168","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from vavvvvaoo. Give prob of picking 1 a and 1 v.\nAnswer: 5\/18","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) = -x**2 - 13*x + 18. Let f be n(-14). Let t be (1 + -8)*f\/(-4). Solve 4*k - t + 3 = 0, h = k - 1 for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -231 divided by 77.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) = d**2. Let u(w) = 141*w - 127. Give u(z(k)).\nAnswer: 141*k**2 - 127","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 14718446?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) be the third derivative of -t**4\/12 + 8*t**3\/3 + 123*t**2. Give s(5).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 343 = -11*f + 1003. Let m be (1*2)\/(f\/270). Solve -3*u - 48 = m*u for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*q - 8 = 4*c - 25, -4*q + c = -10. Put 4, q, -5, -1 in decreasing order.\nAnswer: 4, q, -1, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(77)\/(sqrt(7) + sqrt(28)))**2 + (sqrt(1331) - sqrt(1331)*-2)**2.\nAnswer: 107822\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 2722\/7 + -2728\/7. Let o = -14\/45 - -1\/9. Which is the fourth biggest value? (a) l (b) 7 (c) o (d) -0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*x + 100 = -x. Let r be (-4)\/18 - (-21486)\/216. Let c = x + r. Are -1 and c equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 12 - ((-3 - -13) + -4) - 8\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -n - 2*n + 33 = 0. What is the remainder when 20 is divided by n?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 11791 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 185602 (base 10) to base 3\nAnswer: 100102121011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -11 - -11.048. Let z = -10.417 - -10.4. Let v = z - t. What is v rounded to two dps?\nAnswer: -0.07","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) -0.1 (b) -4 (c) -0.4 (d) 2.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) = -h**3 - 16*h**2 + 27*h + 10. Calculate k(-18).\nAnswer: 172","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:04 AM and 4:10 PM?\nAnswer: 546","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 151\/90 and -22\/285.\nAnswer: 1710","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 50*g + 44*g + 40*g + 53*g - 189*g.\nAnswer: -2*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 29\/5 of a tonne in kilograms?\nAnswer: 5800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 10 - -94. What is the hundreds digit of h?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 140 (base 7) in base 3?\nAnswer: 2212","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 1118, 1122, 1126?\n\"Answer: 4*y + 1114","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 1\/(3 - (-14)\/(-4)). Let c be (-78)\/4*1*(-4 - d). Let u = 55 - c. What is the remainder when 63 is divided by u?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*c - 4*w + 68, 5*w = -3*c - 9 + 50. Let p be (c\/(-78))\/(4\/(-444)). Let i = -3251\/130 + p. What is the common denominator of i and -31\/22?\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) = f**3 - 9*f**2 - 12*f + 10. Let r(s) = -s**2 + 6*s + 10. Let g be r(6). Let n be h(g). Let t = -1 - n. Solve -3*k + t = -3 for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}