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[ { "from": "human", "value": "Let d(f) be the second derivative of -f**6/45 - 4*f**5/15 - f**4/3 + 40*f**3/9 - 25*f**2/3 - 7*f. Factor d(b)." }, { "from": "gpt", "value": "-2*(b - 1)**2*(b + 5)**2/3" } ]
[ { "from": "human", "value": "Let x(h) be the second derivative of -h**4/12 + h**2/2 - 28*h. Let m(s) = 2*s**2 + s - 1. What is -2*m(r) - 3*x(r)?" }, { "from": "gpt", "value": "-r**2 - 2*r - 1" } ]
[ { "from": "human", "value": "Product of -0.0559 and 0.23." }, { "from": "gpt", "value": "-0.012857" } ]
[ { "from": "human", "value": "What is the o'th term of 4, 71, 140, 211, 284?" }, { "from": "gpt", "value": "o**2 + 64*o - 61" } ]
[ { "from": "human", "value": "What is the highest common divisor of 1875 and 75?" }, { "from": "gpt", "value": "75" } ]
[ { "from": "human", "value": "What is the a'th term of 2, 33, 106, 239, 450?" }, { "from": "gpt", "value": "3*a**3 + 3*a**2 + a - 5" } ]
[ { "from": "human", "value": "Multiply -1.4 and 0.165." }, { "from": "gpt", "value": "-0.231" } ]
[ { "from": "human", "value": "Solve 0 = 1110*k - 1108*k + 4 for k." }, { "from": "gpt", "value": "-2" } ]
[ { "from": "human", "value": "What comes next: -22, -37, -50, -61, -70?" }, { "from": "gpt", "value": "-77" } ]
[ { "from": "human", "value": "Let o = 8 - 4. What is the third derivative of 3*h**4 - o + 11*h**2 + 4 - 3*h**2 wrt h?" }, { "from": "gpt", "value": "72*h" } ]
[ { "from": "human", "value": "How many minutes are there between 6:12 AM and 4:29 PM?" }, { "from": "gpt", "value": "617" } ]
[ { "from": "human", "value": "Let a(y) = 2*y**2 + 3*y - 4. Let f be a(-3). Let x be (-23)/f + 2 + 3. Put -1, x, 0 in ascending order." }, { "from": "gpt", "value": "-1, 0, x" } ]
[ { "from": "human", "value": "What is the second derivative of -37*k**3 + 5*k**2 - 4*k - 5*k**2 + 34*k**3 wrt k?" }, { "from": "gpt", "value": "-18*k" } ]
[ { "from": "human", "value": "Work out 40329 * -0.4." }, { "from": "gpt", "value": "-16131.6" } ]
[ { "from": "human", "value": "Which is the third smallest value? (a) 9 (b) 0.1 (c) 3 (d) 1" }, { "from": "gpt", "value": "c" } ]
[ { "from": "human", "value": "In base 10, what is 3433 + 2?" }, { "from": "gpt", "value": "3435" } ]
[ { "from": "human", "value": "Let p(x) = -105*x**2 + x - 1. Let s be p(1). Let u = s - -232. Is u composite?" }, { "from": "gpt", "value": "False" } ]
[ { "from": "human", "value": "(-3)/6*10*(-1)/(-4)" }, { "from": "gpt", "value": "-5/4" } ]
[ { "from": "human", "value": "Is 15 equal to 206/15?" }, { "from": "gpt", "value": "False" } ]
[ { "from": "human", "value": "Let x = -26 + 6. Let l = 32 - x. What is the highest common divisor of l and 130?" }, { "from": "gpt", "value": "26" } ]
[ { "from": "human", "value": "What are the prime factors of 1776227?" }, { "from": "gpt", "value": "1776227" } ]
[ { "from": "human", "value": "Let n = 6.6 - 7. Let h = n + 0.6. Let x be 2/5 - 37/30. What is the third biggest value in x, -2, h?" }, { "from": "gpt", "value": "-2" } ]
[ { "from": "human", "value": "Let q(v) = -v**2 - 9*v - 2. Suppose 4*f + 2*p = -3*p, 3*p - 32 = 4*f. Let d be q(f). Calculate the least common multiple of -1 + 1 - d/(-1) and 16." }, { "from": "gpt", "value": "144" } ]
[ { "from": "human", "value": "Simplify -4*(sqrt(1331)*-2)**2." }, { "from": "gpt", "value": "-21296" } ]
[ { "from": "human", "value": "What is the c'th term of -465, -932, -1389, -1830, -2249, -2640, -2997?" }, { "from": "gpt", "value": "c**3 - c**2 - 471*c + 6" } ]
[ { "from": "human", "value": "What comes next: -139, -177, -221, -271, -327?" }, { "from": "gpt", "value": "-389" } ]
[ { "from": "human", "value": "What is the tens digit of (-188)/(-10) + 5/25?" }, { "from": "gpt", "value": "1" } ]
[ { "from": "human", "value": "Find the third derivative of -2*h**6 + 98*h**3 - 7*h**2 + 2*h wrt h." }, { "from": "gpt", "value": "588 - 240*h**3" } ]
[ { "from": "human", "value": "Let p = -149 - -295. Suppose -p = -3*h - m, -2*h - 2*h + 2*m = -188. Suppose 5*a + 11 = c, -5*a + 7 = 3*c - c. What is the greatest common divisor of c and h?" }, { "from": "gpt", "value": "6" } ]
[ { "from": "human", "value": "What is the closest to 42310 in -2/91, 3, 4, -5?" }, { "from": "gpt", "value": "4" } ]
[ { "from": "human", "value": "What is the cube root of 139381989 to the nearest integer?" }, { "from": "gpt", "value": "518" } ]
[ { "from": "human", "value": "Suppose 156*u = 3816 + 4920. Calculate the remainder when 995 is divided by u." }, { "from": "gpt", "value": "43" } ]
[ { "from": "human", "value": "Calculate ((3 + -1)/(-6))/(5/(-3))." }, { "from": "gpt", "value": "1/5" } ]
[ { "from": "human", "value": "How many grams are there in 71/5 of a kilogram?" }, { "from": "gpt", "value": "14200" } ]
[ { "from": "human", "value": "Is 109478 a multiple of 67?" }, { "from": "gpt", "value": "True" } ]
[ { "from": "human", "value": "Suppose -2*d + q - 305 = 0, 5*q = 5*d - 129 + 904. Is 1 + 2/((-4)/d) a multiple of 38?" }, { "from": "gpt", "value": "True" } ]
[ { "from": "human", "value": "Suppose -2*q - 3*w = q - 60, w + 95 = 4*q. Calculate the remainder when 86 is divided by q." }, { "from": "gpt", "value": "17" } ]
[ { "from": "human", "value": "In base 16, what is 5e - 4?" }, { "from": "gpt", "value": "5a" } ]
[ { "from": "human", "value": "What is the remainder when 62 is divided by 7?" }, { "from": "gpt", "value": "6" } ]
[ { "from": "human", "value": "Let t**4 + 6*t**3/7 - 15*t**2/7 + 2*t/7 = 0. Calculate t." }, { "from": "gpt", "value": "-2, 0, 1/7, 1" } ]
[ { "from": "human", "value": "Let i be (66/21 - 12/84) + -1. Let g(v) be the second derivative of 0 + 4/33*v**4 + 1/11*v**i + 8/55*v**5 - 7/33*v**3 + 3*v. Let g(c) = 0. What is c?" }, { "from": "gpt", "value": "-1, 1/4" } ]
[ { "from": "human", "value": "Suppose 0 = 2*j - 6*j. Factor -6*b**2 + 4/3*b + 14/3*b**3 + j." }, { "from": "gpt", "value": "2*b*(b - 1)*(7*b - 2)/3" } ]
[ { "from": "human", "value": "Round 7.63543 to the nearest integer." }, { "from": "gpt", "value": "8.0" } ]
[ { "from": "human", "value": "What is -5304 divided by -1768?" }, { "from": "gpt", "value": "3" } ]
[ { "from": "human", "value": "Let m(u) = 8*u - 1. Let c be m(-1). Let w be ((-12)/4)/(c/12). Suppose 7*p - 3*p - 20 = 0. Put w, 0, p in decreasing order." }, { "from": "gpt", "value": "p, w, 0" } ]
[ { "from": "human", "value": "Let t be (5/15)/((-21)/27 - 0). What is the fourth smallest value in 2, 5, -3, t?" }, { "from": "gpt", "value": "5" } ]
[ { "from": "human", "value": "Solve 10*u + 1 = -29 for u." }, { "from": "gpt", "value": "-3" } ]
[ { "from": "human", "value": "In base 13, what is 2 + 2c6?" }, { "from": "gpt", "value": "2c8" } ]
[ { "from": "human", "value": "Let s(j) = 3*j + 2. Let m(r) be the third derivative of r**4/24 - 6*r**2. Let z(g) = -3*m(g) + 3*s(g). Find the first derivative of z(v) wrt v." }, { "from": "gpt", "value": "6" } ]
[ { "from": "human", "value": "What is the tenth root of 6960 to the nearest integer?" }, { "from": "gpt", "value": "2" } ]
[ { "from": "human", "value": "What is the next term in 20, 79, 176, 311, 484, 695?" }, { "from": "gpt", "value": "944" } ]
[ { "from": "human", "value": "Let f(g) be the first derivative of -g**6/135 + g**4/54 + g - 4. Let o(h) be the first derivative of f(h). Factor o(y)." }, { "from": "gpt", "value": "-2*y**2*(y - 1)*(y + 1)/9" } ]
[ { "from": "human", "value": "List the prime factors of 51148." }, { "from": "gpt", "value": "2, 19, 673" } ]
[ { "from": "human", "value": "Solve -1375*i - 78657 + 436846 + 162835 = 7929*i for i." }, { "from": "gpt", "value": "56" } ]
[ { "from": "human", "value": "Suppose -53 = -4*w + 3*n + 23, -5*w + 95 = -2*n. Let z = 18 - 11. Calculate the remainder when w is divided by z." }, { "from": "gpt", "value": "5" } ]
[ { "from": "human", "value": "Let y(n) = -n**2 + 5*n + 9. Let m be y(6). Let j = -11 - -39. Solve 2*h - 20 = -4*u, 4*h - j = -2*u - m*u for h." }, { "from": "gpt", "value": "2" } ]
[ { "from": "human", "value": "Solve -3*v - a = -3*a, -a = 3 for v." }, { "from": "gpt", "value": "-2" } ]
[ { "from": "human", "value": "What is -0.2 minus 7.218013206?" }, { "from": "gpt", "value": "-7.418013206" } ]
[ { "from": "human", "value": "Calculate the remainder when 2805 is divided by 104." }, { "from": "gpt", "value": "101" } ]
[ { "from": "human", "value": "What is next in 0, 1, 2, 3, 4?" }, { "from": "gpt", "value": "5" } ]
[ { "from": "human", "value": "What is the value of 4/54 + 350/(-1080)?" }, { "from": "gpt", "value": "-1/4" } ]
[ { "from": "human", "value": "What is the third derivative of 177*a**3 + 58*a**2?" }, { "from": "gpt", "value": "1062" } ]
[ { "from": "human", "value": "Suppose -4*z + 53 = -5*j + 13, -5*z + 2*j = -33. Solve 6 = z*p - 3*p for p." }, { "from": "gpt", "value": "3" } ]
[ { "from": "human", "value": "Calculate 3 + -6 - -1 - (0 + 0)." }, { "from": "gpt", "value": "-2" } ]
[ { "from": "human", "value": "Let o(y) = y - 1. Let l be (-3)/(-1)*(-2)/3. Let p(s) = -4. Let m(u) = -4. Let h(c) = -4*m(c) + 5*p(c). Give l*o(w) + h(w)." }, { "from": "gpt", "value": "-2*w - 2" } ]
[ { "from": "human", "value": "Let a(d) = -d**3 + 7*d**2 - 5*d - 8. Let b be a(6). Is b/5 - (-52)/5 composite?" }, { "from": "gpt", "value": "True" } ]
[ { "from": "human", "value": "Factor 3*z**3 - 42*z**2 - 12*z + 168." }, { "from": "gpt", "value": "3*(z - 14)*(z - 2)*(z + 2)" } ]
[ { "from": "human", "value": "Find the first derivative of 1330 - 1420*n." }, { "from": "gpt", "value": "-1420" } ]
[ { "from": "human", "value": "Which is the second biggest value? (a) -3 (b) 0.4 (c) -1/13" }, { "from": "gpt", "value": "c" } ]
[ { "from": "human", "value": "Let m = 17 - 17. Put 4, m, 10 in decreasing order." }, { "from": "gpt", "value": "10, 4, m" } ]
[ { "from": "human", "value": "Let n = 0 - 0. Suppose -15 = 12*y - 15*y. Put y, 3, n in ascending order." }, { "from": "gpt", "value": "n, 3, y" } ]
[ { "from": "human", "value": "Let w(v) = v**2 - 1. Let c be w(-1). Suppose 2*f = -c*f + 100. What is the highest common factor of f and 10?" }, { "from": "gpt", "value": "10" } ]
[ { "from": "human", "value": "Which is the smallest value? (a) 5 (b) 2 (c) 1/5 (d) -10 (e) 0.006" }, { "from": "gpt", "value": "d" } ]
[ { "from": "human", "value": "Solve -5*a - 28 = 7*u - 4*u, 2*a = -10 for u." }, { "from": "gpt", "value": "-1" } ]
[ { "from": "human", "value": "Let c = -6 + 2. Let i be (1 - 3490/25) + 4. Let p = 135 + i. What is the second biggest value in c, p, 3?" }, { "from": "gpt", "value": "p" } ]
[ { "from": "human", "value": "Work out 18 - -40.8." }, { "from": "gpt", "value": "58.8" } ]
[ { "from": "human", "value": "Let f be (-2)/((-1331)/187 + 7). Suppose 5*o - f*g - 62 = -14*g, 4*o + 4*g = 56. Let a = 16 + 23. What is the greatest common divisor of a and o?" }, { "from": "gpt", "value": "13" } ]
[ { "from": "human", "value": "56 divided by 5" }, { "from": "gpt", "value": "56/5" } ]
[ { "from": "human", "value": "Solve 24 = 4*r + 10*c - 5*c, 0 = 4*r - 5*c + 16 for r." }, { "from": "gpt", "value": "1" } ]
[ { "from": "human", "value": "What is ((-2576)/966)/(4/3)?" }, { "from": "gpt", "value": "-2" } ]
[ { "from": "human", "value": "What is -5 (base 10) in base 15?" }, { "from": "gpt", "value": "-5" } ]
[ { "from": "human", "value": "Let v = -0.2 - -4.2. Let p = 0.02 + -0.22. What is the biggest value in v, 3, p?" }, { "from": "gpt", "value": "v" } ]
[ { "from": "human", "value": "Let -12*b**5/7 - 92*b**4/7 + 5056*b**3/7 + 8592*b**2/7 + 3456*b/7 = 0. Calculate b." }, { "from": "gpt", "value": "-24, -1, -2/3, 0, 18" } ]
[ { "from": "human", "value": "Let o(p) = -p - 8. Let z be (2/(2/45))/1. Suppose -34 = -3*a + 4*x, 4*a + 5*x = -a + z. Calculate the lowest common multiple of o(-10) and a." }, { "from": "gpt", "value": "10" } ]
[ { "from": "human", "value": "What is the remainder when 25 is divided by 12?" }, { "from": "gpt", "value": "1" } ]
[ { "from": "human", "value": "(-1 - (1 + 2)) + 6" }, { "from": "gpt", "value": "2" } ]
[ { "from": "human", "value": "What is (5 + 1)*(-3)/6?" }, { "from": "gpt", "value": "-3" } ]
[ { "from": "human", "value": "Let u = 5/152 - -11279/1368. What is the common denominator of -67/3 and u?" }, { "from": "gpt", "value": "18" } ]
[ { "from": "human", "value": "In base 2, what is 10110110 + -101?" }, { "from": "gpt", "value": "10110001" } ]
[ { "from": "human", "value": "What is the value of -1 + 9 - (3 - (-2 - 1))?" }, { "from": "gpt", "value": "2" } ]
[ { "from": "human", "value": "Solve 118 - 108 = 2*m for m." }, { "from": "gpt", "value": "5" } ]
[ { "from": "human", "value": "Sort -3, -313, -0.03, -5 in descending order." }, { "from": "gpt", "value": "-0.03, -3, -5, -313" } ]
[ { "from": "human", "value": "Which is the biggest value? (a) 0.9 (b) 19 (c) 2/5" }, { "from": "gpt", "value": "b" } ]
[ { "from": "human", "value": "Suppose 2 = t + 3. Let v(j) = j + 1. Let k(p) be the third derivative of p**5/30 - 3*p**4/4 - 4*p**3/3 - 2*p**2. Let c(r) = t*k(r) - 12*v(r). Factor c(d)." }, { "from": "gpt", "value": "-2*(d - 2)*(d - 1)" } ]
[ { "from": "human", "value": "Factor -s**4/3 + 169*s**2/3." }, { "from": "gpt", "value": "-s**2*(s - 13)*(s + 13)/3" } ]
[ { "from": "human", "value": "What is the third derivative of 5282*x**3 + 3083*x**2?" }, { "from": "gpt", "value": "31692" } ]
[ { "from": "human", "value": "What is the second derivative of 4*f*j**2 - f*j + 3*j**3 + 2*j**2 - 6*j wrt j?" }, { "from": "gpt", "value": "8*f + 18*j + 4" } ]
[ { "from": "human", "value": "13 divided by 8" }, { "from": "gpt", "value": "13/8" } ]
[ { "from": "human", "value": "Is -6*((62/(-6) - -4) + 1) a multiple of 20?" }, { "from": "gpt", "value": "False" } ]
[ { "from": "human", "value": "Which is smaller: -15 or -315?" }, { "from": "gpt", "value": "-315" } ]