k = -9. Calculate the greatest common factor of 45 and k.
9
Let a(n) be the third derivative of -n**4/24 + n**3/2 + 8*n**2. Let d be a(-4). What is the highest common divisor of d and 21?
7
Let g(r) = 11*r**2 + 3*r - 3. Let n be g(3). What is the highest common divisor of n and 42?
21
Suppose -4*z - 3*q + 414 = 0, 3*z + 3*q + 0*q = 309. What is the highest common divisor of 21 and z?
21
Let a(n) = -n - 2. Let b be a(-8). Suppose -p = 4*o - 29, -5*p + 4 = -3*o - 3. Calculate the highest common factor of b and o.
6
Let n(m) = m**3 - 5*m**2 + 2*m + 3. Let b be n(4). Let i = -3 - b. Let o be 1 + 1 - i*-34. Calculate the highest common divisor of o and 10.
10
Let m(o) = o**3 - 5*o**2 - 5*o - 5. Let j be (3 - 1) + 3 + 1. Let z be m(j). Let x be z*62*2 + 2. What is the greatest common factor of x and 14?
14
Suppose 2 - 5 = -3*c, 4*c + 42 = -2*l. Let q = l - -58. Let u = 21 + -7. What is the greatest common divisor of u and q?
7
Suppose -3*g + 99 = -2*g. What is the highest common divisor of g and 9?
9
Let x(j) = j**3 - 7*j**2 + 8. Let n be x(7). Let t(h) = h**2 - 3*h - 8. Let s be t(7). Calculate the greatest common factor of n and s.
4
Let b(v) = v**3 + 2*v**2 - 2*v - 2. Let u be b(2). Calculate the highest common divisor of 90 and u.
10
Let q(u) = 3*u**2 - u - 1 - 4 + u**3 + 4*u**2 + 0*u**3. Let w be q(-7). Calculate the greatest common divisor of w and 3.
1
Suppose -w + k - 130 = -6*w, -70 = -2*w - 4*k. Let r be 10 + -4 - 1 - (-1 - -1). Calculate the greatest common factor of w and r.
5
Let b be ((2 - 3) + 2)*-3. Let m be 20/30 - 493/b. Calculate the greatest common divisor of m and 15.
15
Let r = 5 - 5. Suppose r = 5*t - 2*t + 6. Let i be (1/t)/((-1)/8). What is the highest common divisor of 16 and i?
4
Let y = 52 - 31. Calculate the greatest common divisor of 147 and y.
21
Let z be (-1)/(-1)*(13 + -3). Let m = z - 6. Suppose -4*d = 3 - 67. What is the highest common factor of d and m?
4
Let m = -23 + 175. What is the greatest common factor of m and 19?
19
Let q = -3 - -5. Let l(v) = v**3 + 8*v**2 + 7*v - 7. Let p be l(-7). Let x be (2 - 6)/q - p. What is the greatest common divisor of 15 and x?
5
Let c(z) = 5*z**2. Let i be c(-3). Let b(m) = -3*m - m + 13 + 3*m. Let w be b(4). What is the highest common factor of i and w?
9
Let a = 13 - 25. Let l be ((-2)/6)/((-4)/a). Let c(y) = -25*y**3 - y**2. Let j be c(l). What is the highest common divisor of j and 36?
12
Suppose 2*m - 5 - 15 = 0. Let u(z) = 3*z**2 - 4*z + 6. Let a be u(6). What is the greatest common factor of a and m?
10
Let v(w) = 3*w**2 - 11*w + 7. Let r be v(7). Suppose -d = -4*h + 8*h - 15, -3*d = 5*h - 31. What is the greatest common factor of d and r?
7
Let h(y) = y**3 - 8*y**2 + 9*y - 10. Let x be h(7). Suppose -x*r = -11 - 41. What is the greatest common divisor of r and 13?
13
Suppose 0 = -0*r + r - 5*t - 38, -2*r + t + 94 = 0. What is the highest common factor of 120 and r?
24
Suppose -5*q = -q - 24. Let j(t) = t**3 - t**2 + 67. Let o be j(0). Suppose -2*f + 108 = -3*k, -f - 3*k = 13 - o. What is the greatest common factor of q and f?
6
Suppose 0 = -4*u + 4, a + u = 2*u + 44. What is the highest common factor of 45 and a?
45
Let p be (2 - 0)*(-539)/(-22). Suppose -3*a - o = -18, -a + 17 = -3*o + 1. What is the greatest common divisor of a and p?
7
Suppose 0*k - 3*k + 2*o = -249, -5*k + 2*o + 411 = 0. Suppose 25 = -5*b + 155. Let l = b + -17. What is the highest common divisor of l and k?
9
Suppose -9*p = -3*p - 48. Let k = 44 + 40. Suppose 2*l - 2*j = k, j - 54 + 16 = -l. Calculate the greatest common divisor of p and l.
8
Suppose 3*b - 38 = 10. Let t be -3 - (2 - (-1)/(-1)). Let l = t - -6. Calculate the highest common divisor of l and b.
2
Let b = 17 + -15. Suppose 47 = b*d - f, -d + 3*f = -5 - 6. Calculate the greatest common factor of 13 and d.
13
Let b(x) = 2*x**2 + 2*x + 1. Let j be b(-2). Let z(g) = g**3 - 6*g**2 + 5*g + 3. Let q be z(j). What is the greatest common factor of 15 and q?
3
Let f be (140/6)/((-4)/(-18)). What is the greatest common divisor of 35 and f?
35
Let f be (15/2)/((-3)/(-8)). Suppose 4*w = 4 + 16. Calculate the highest common divisor of f and w.
5
Let r = 6 - 5. What is the greatest common factor of r and 4?
1
Suppose 3*o + 19 = 151. Let f = -106 + 216. What is the highest common factor of f and o?
22
Let v = 78 - 132. Let q = 99 + v. What is the highest common divisor of q and 30?
15
Let m be 1/4 - (-28)/16. Suppose n - 22 = -5*i - 1, -3*i - 16 = -m*n. Calculate the greatest common factor of 11 and n.
11
Let p(j) = 7*j**2 - j - 3. Suppose 4*w - 6 = 7*w. Let q be p(w). What is the highest common divisor of 9 and q?
9
Suppose 0 = 3*b - 5*k - 4, 0 = -4*b + b - 3*k + 36. Calculate the highest common divisor of b and 64.
8
Let b be (4/2 + -3)*-30. What is the greatest common factor of 150 and b?
30
Suppose 2*k - 42 = -k + 3*t, 3*k + 5*t - 2 = 0. Let j(r) = r**3 + 8*r**2 - r + 3. Let q be j(-6). What is the greatest common divisor of k and q?
9
Let a be (-320)/(-6) - 2/(-3). Suppose y + a = 4*y. What is the highest common factor of 9 and y?
9
Suppose -6 - 2 = -4*r. Calculate the highest common divisor of 6 and r.
2
Let l(s) = 5*s**2 + 5*s - 7. Let a be l(5). What is the highest common factor of a and 13?
13
Let u(z) = z**3 + z - 4. Let f be u(2). Let s be (2 + (-2)/1)*-1. Suppose s*i = 5*i - 300. Calculate the greatest common factor of f and i.
6
Suppose 0 = -4*a + 61 + 31. Let u = a - 16. Calculate the highest common factor of u and 77.
7
Suppose -2*z - 5*o = 3, 4*z - 3*z + 3*o = -4. Suppose -49 = 2*h + 51. Let q = -28 - h. What is the greatest common divisor of q and z?
11
Suppose -5 = 3*z - 14. Suppose -4*j = j + 5*o - 45, 0 = 2*o - 6. Suppose -3*f + 0 + j = 0. What is the highest common factor of f and z?
1
Suppose -11*p + 8*p = -144. Let f(d) = 4*d + 8. Let g be f(6). Calculate the highest common factor of p and g.
16
Suppose -3 = -g + 4. Let x = 7 + g. Suppose -6*q + 160 = 5*t - q, t = 4*q + 12. Calculate the highest common factor of t and x.
14
Let n be -2 - 12/(-1 - 2). What is the greatest common factor of 22 and n?
2
Suppose -5*t = 3*j - 2068, 4*j - 1 = 3. Suppose -4*y + 4*z = -y - 428, 3*y - t = z. What is the highest common factor of y and 17?
17
Suppose -f + 86 - 11 = g, 3*g - 3*f = 255. Calculate the greatest common divisor of g and 10.
10
Let a = -43 + 55. What is the greatest common factor of a and 96?
12
Suppose -36 = 4*b - 4*h, -3*b - 43 = b + 3*h. Let a be (-544)/b - (-10)/(-25). What is the highest common factor of 36 and a?
18
Let r = -5 + 8. Suppose -r*w = -2*w - 13. Let k = -155 - -272. Calculate the greatest common factor of w and k.
13
Suppose -4*h + 395 + 50 = -s, 3 = s. Calculate the highest common factor of h and 28.
28
Let z(a) = 15*a. Let s be z(10). What is the greatest common factor of s and 15?
15
Let q(i) = 28*i**2 + 2*i + 3. Let f be q(-2). What is the greatest common factor of f and 74?
37
Suppose 4*x = 3*z - 6*z + 23, 3*z = 2*x + 11. Calculate the greatest common factor of x and 6.
2
Let x = -25 + 35. Let r(b) = -b**2 - 11*b + 15. Let a be r(-11). Let l(m) = m + 5. Let i be l(a). What is the greatest common divisor of i and x?
10
Suppose -3*t + 4*g = -41, -g - 26 = -t - 2*t. What is the highest common factor of t and 63?
7
Let x(r) = r + 56. Let i be x(0). Let d(j) = -4*j - 41. Let n be d(-12). What is the greatest common divisor of i and n?
7
Let w = 69 + -47. What is the greatest common divisor of 2 and w?
2
Let g = 11 + -18. Let v be 2 + g/(-2)*14. What is the greatest common factor of v and 17?
17
Suppose -j = 12 - 128. Suppose 137 = 3*h + u, -5*h + u + j = -107. Calculate the highest common divisor of 5 and h.
5
Suppose 3*k - 66 + 219 = 0. Let j = -33 - k. Calculate the greatest common factor of 12 and j.
6
Let z(p) be the second derivative of p**3/3 - p**2/2 - 4*p. Let v be z(3). Let o = 35 + 5. What is the greatest common factor of v and o?
5
Let o = -116 - -172. Let g(r) = -8*r**3 + 2*r**2 - 2*r + 1. Let d be g(1). Let b = d + 15. What is the highest common divisor of b and o?
8
Let n(z) = 29*z**3 - z. Let t be n(1). Suppose 3*f - 42 = -3*c - f, 5*f - 28 = -2*c. Calculate the greatest common factor of t and c.
14
Suppose 4 = 5*v - 16. Let f = -12 - -32. Calculate the highest common factor of v and f.
4
Let