
9
Let a(q) = -q**3 + 9*q**2 - 7*q + 1. Let m be a(8). Suppose 159 = 2*d - g, 12 = -5*g + 27. What is the greatest common factor of d and m?
9
Suppose 2*c - 19 + 3 = 0. Suppose 226 = 3*n + 2*a, 0 = -5*n - a + 421 - 56. Calculate the highest common factor of c and n.
8
Let u(g) = -10*g**3 - g - 1. Let f be u(-1). Suppose -169 = -5*w - 44. Calculate the greatest common divisor of w and f.
5
Suppose -4*r - 5 + 13 = 0. Let n = r - -15. Calculate the highest common factor of n and 102.
17
Suppose 0 = 6*l - l - 230. Let j = l + -24. Calculate the highest common divisor of 11 and j.
11
Suppose -2*s - 16 = -2*r, 4*r + 2*s = s + 12. Let w be 189/12 - (-1)/r. Calculate the greatest common factor of w and 8.
8
Let y = 44 - 35. Calculate the highest common divisor of y and 81.
9
Let z(j) = -j + 1. Let d = 1 - 6. Let o be z(d). What is the greatest common divisor of 2 and o?
2
Suppose -4*k - u + 204 = 0, -k + 5*u = u - 34. Calculate the highest common factor of k and 2.
2
Suppose 9 = 3*r + 5*i - 2, -4*r = 5*i - 23. Suppose 7 = v - 77. Calculate the greatest common factor of r and v.
12
Suppose 0 = -8*b + 309 + 75. Calculate the highest common divisor of b and 12.
12
Let x(v) = v + 11. Let u be x(-9). Let y(n) = 4*n + 3 + u*n - n. Let s be y(6). What is the greatest common factor of 22 and s?
11
Let d be 9 + (-4)/(-4 - -2). Let c = 12 + 109. Calculate the highest common divisor of d and c.
11
Let r(s) = 4*s**2 - 2*s - 4. Let b be r(4). Let v = 12 + b. Let i = v - 36. Calculate the highest common factor of i and 14.
14
Let z = 11 + -8. Let l be 13 + 2 + (-12)/z. Calculate the highest common factor of 121 and l.
11
Let l(d) = d**2 + 3. Let z be l(-5). Calculate the highest common divisor of z and 7.
7
Suppose 0 = -8*j + 3*j + 3*h + 127, -2*j + 50 = -2*h. Calculate the greatest common factor of j and 52.
26
Let b be 12 + (-1 - -2)*1. Suppose 2*h - 4*m - 64 = 0, -m = 3*h + m - 64. Let c be h/2*(-78)/(-9). Calculate the greatest common divisor of b and c.
13
Let u = 2 + 1. Suppose -3*w - 2*p + 9 = p, 5*w - u*p = 55. Calculate the greatest common divisor of w and 12.
4
Let j be 2/(-4)*(-1 + -11). Let w be ((-4)/j)/(10/(-75)). Suppose w*r = -2*d + 19 + 9, 5*d + 3*r = 108. What is the greatest common divisor of 60 and d?
12
Let q(g) = g**3 + 10*g**2 + 17*g + 11. Let v be q(-7). Let t = 6 + 7. What is the highest common divisor of t and v?
13
Suppose -9*d + 3 = -141. Suppose -4*f - 4*o + 496 = 0, -f = -0*o + 2*o - 120. Calculate the greatest common factor of d and f.
16
Let v(p) = -p**3 - 8*p**2 - p - 11. Let r be v(-8). Let l(q) = -q - 2*q - 2 + 3*q**2 + 0*q. Let i be l(r). What is the highest common factor of i and 51?
17
Suppose 0 = 13*w - 8*w - 370. Calculate the greatest common divisor of w and 185.
37
Let g = -33 + 39. What is the greatest common factor of 12 and g?
6
Let g = -22 - -33. Calculate the greatest common factor of 11 and g.
11
Let c(p) = -4*p - 12. Let q(k) = k + 4. Let f(s) = -6*c(s) - 17*q(s). Let i be f(4). What is the highest common divisor of i and 8?
8
Suppose 0*l + 2*l - 20 = 0. Let g(i) = -i**3 - 8*i**2 - 2*i + 4. Let k be g(-8). Calculate the greatest common divisor of k and l.
10
Let q = 44 + -37. Calculate the highest common factor of 2 and q.
1
Suppose 4*p - 5*r = 0, r - 3*r = 4*p. Suppose -145 = -4*j - p*t + 3*t, 2*j - 55 = 5*t. Calculate the highest common divisor of j and 10.
10
Let c(o) = -o - 3. Let w be c(-8). Let l(m) = -2*m**3 + 2*m**2 - 1. Let i be l(-1). Let v be 62/4 - i/6. What is the highest common divisor of v and w?
5
Let m = -5 + 71. Calculate the highest common factor of 6 and m.
6
Let r(w) = 0 + 0 - 9 + 33*w. Let x be r(6). What is the highest common divisor of x and 21?
21
Suppose -4*o + 71 = 3*h, 3*h - 24 = -o + h. Let l(p) = 34*p**2 - p. Let u be l(-1). Calculate the highest common factor of u and o.
7
Let n = 349 + -184. Calculate the greatest common divisor of 15 and n.
15
Suppose -n = 0, -5*r - n = -21 - 4. Let t be (-6)/r*(-20)/6. Suppose -4*j - p = 3*p - 40, 0 = -t*j - 3*p + 42. What is the highest common factor of j and 24?
12
Let i(z) = z**2 + 7*z - 12. Let g be i(-12). What is the highest common divisor of 6 and g?
6
Let y = 3 + -1. Suppose -5*p = -4*r - 66, -4*p + 5*r = -21 - 39. Let q be (36/p)/((-6)/(-30)). What is the greatest common divisor of y and q?
2
Let f(h) be the third derivative of -h**5/60 + h**4/4 - h**3/2 + h**2. Let l be f(3). What is the greatest common factor of 60 and l?
6
Suppose -r - 3*j = -2*j - 30, 5*r = -4*j + 149. Calculate the highest common factor of r and 29.
29
Suppose -3 = 2*h - h. Let i be (10/(-3))/((-1)/h). Let s be ((-84)/(-15))/((-2)/i). Calculate the greatest common factor of 4 and s.
4
Let q be ((-3)/(-6))/((-2)/(-4)). Let c be 0 + q + -13 + -1. Let h be c*((0 - 0) + -2). What is the highest common divisor of h and 13?
13
Let d(c) = c**3 - 12*c**2 - 12*c + 3. Let w be d(13). Calculate the greatest common divisor of w and 4.
4
Let b = 120 - 111. Calculate the highest common divisor of 21 and b.
3
Let j = -29 - -25. Let h be 2/j*(11 + -103). Calculate the highest common divisor of 115 and h.
23
Let d(x) = -x**2 + 34*x - 7. Let k be d(33). Calculate the highest common factor of k and 208.
26
Let z = 24 + -6. Let g(b) = -b**3 - 7*b**2 - 8*b - 3. Let a be g(-6). What is the greatest common factor of z and a?
9
Let d = -557 + 872. What is the highest common factor of 126 and d?
63
Let r(k) = -k**3 - 6*k**2 - 9*k - 9. Let h be r(-5). Suppose 0 = 3*q - y - 132, 58 = -4*q - 4*y + 234. What is the highest common divisor of q and h?
11
Suppose -2*n = 5*r - 1117, -5*r - 2*n - 3*n + 1105 = 0. What is the greatest common divisor of r and 25?
25
Let c be 10/(3/(-6)*8/(-12)). What is the highest common factor of 40 and c?
10
Suppose 11 + 35 = -2*y. Let w = -11 - y. Calculate the highest common divisor of 24 and w.
12
Suppose -10*m = -2*m - 56. What is the greatest common factor of 63 and m?
7
Suppose 5*d - 178 = -2*l, 3*d + 3*l = 7*l + 112. Let a be (-3 - 1)*6/(-2). What is the greatest common divisor of a and d?
12
Let i = -15 + 18. Suppose 0 = p - 5, -i*p = -4*m - 4 + 17. What is the greatest common divisor of 77 and m?
7
Let q(g) = 2*g**2 + 1. Let d be q(1). Suppose -i + 57 = -p - d*p, 0 = 5*i - 5*p - 240. What is the highest common divisor of 9 and i?
9
Suppose 5*z = 9*z + 3*c - 83, 2*z - 41 = -c. Calculate the highest common divisor of z and 12.
4
Suppose -44 - 15 = -n + 4*g, -3*g - 278 = -5*n. Suppose 4*a = -0*s + 3*s + 119, 2*a - n = 3*s. Calculate the greatest common factor of a and 8.
8
Let f(r) = 3*r**2 - 13*r + 13. Let w be f(5). What is the highest common divisor of w and 161?
23
Let h = -10 - -14. Calculate the highest common factor of 4 and h.
4
Let k = 3 + 2. What is the greatest common divisor of k and 25?
5
Suppose 3*i + 3*i - 6 = 0. What is the highest common factor of i and 11?
1
Suppose 4*m - 24 = -2*d, 3*d - d - 19 = -3*m. Suppose 0*c - 4*c + 514 = m*n, -5*c - 2*n = -634. Calculate the greatest common factor of 18 and c.
18
Let l(s) = -2*s**2 + 2. Let x be l(-4). Let h be ((-72)/15)/(4/x). Calculate the highest common divisor of h and 4.
4
Let q be ((-132)/(-15))/(4/50). Let d be 0/(-2) - (-40)/4. What is the greatest common divisor of q and d?
10
Let a = -35 - -115. What is the greatest common divisor of a and 8?
8
Suppose 4*k = 3*k. Suppose -4*l + k*l + 20 = 0. Suppose 0 = -4*s - 3*m + 2*m, l*m = 2*s - 22. What is the highest common factor of 8 and s?
1
Let q = -7 - -5. Let r = 5 + q. Suppose 5*s - 2*v = 39, -2 = r*v + 4. Calculate the greatest common divisor of s and 56.
7
Let l = 14 + -2. Suppose 135 = 4*i - 2*y - 15, 4*i = -2*y + 146. Let q = -25 + i. What is the greatest common divisor of l and q?
12
Let w be (4/(-3))/((-4)/54). Let i = 25 + 20. Calculate the highest common factor of w and i.
9
Let f be ((-57)/6 - 0)*-10. Let p = f + -63. What is the highest common factor of 16 and p?
16
Suppose 3*x = 2*v - 9 - 5, 0 = 5*x - 4*v + 26. Let r be (2 - x)/((-1)/(-4)). Suppose 0 = -4*l - 0*l + r. What is the greatest common divisor of 36 and l?
4
Let m be 158/2 + (11 - 12). Calculate the highest common factor of 117 and m.
39
Suppose -5*o + 83 + 127 = -4*b, 0 = -2*o - 2*b + 84. What is the highest common divisor of o and 420?
42
Let b(v) = -v**2 + 3*v + 4. Let 