**2 - 4*v + 6*v**2 - 2*v**2 - v**3. Let t be h(5). Calculate the highest common divisor of t and 56.
7
Suppose -24 = -5*c - 4*s + s, -3*s = -c + 12. What is the highest common factor of 6 and c?
6
Suppose 5*b - 15 = 5*d, d - 5 = -3*b - 0. Let u be (b/3)/((-1)/(-12)). What is the greatest common factor of 32 and u?
8
Let i be 3*(-1 + (-5)/(-3)). Suppose 4*r = i*r - 48. Let y be ((-2)/3)/(2/r). What is the highest common factor of y and 72?
8
Let a(q) = q**2 - 2*q - 2. Let j be a(3). What is the greatest common factor of j and 11?
1
Let t = 0 + 4. Suppose -3*m + 0*i + 2*i = -t, -2*m - 4*i = -8. Suppose 1 - 4 = -f - m*l, -5*l = f + 12. What is the greatest common factor of 52 and f?
13
Suppose 0 = -2*s + 3*m - 0 + 34, 0 = 5*m + 10. Let r = s + 5. Calculate the greatest common divisor of r and 38.
19
Let k(b) = -b**3 - 5*b**2 + b. Let u be k(-5). Let g be ((4 - 1) + u)*-40. Suppose -7*l + 2*l + g = 0. What is the highest common factor of 80 and l?
16
Suppose 2*k - 163 = u, -4*k + 39 + 284 = u. What is the highest common factor of 27 and k?
27
Let w(r) = r**3 - 6*r**2 + 4*r + 8. Let o be w(6). Calculate the highest common factor of o and 48.
16
Let s be (-1)/(-1) - (1 + 9). Let b(x) = x**2 + 9*x - 1. Let j be b(s). Let l be (-1)/(1/j) + 5. Calculate the greatest common divisor of 12 and l.
6
Suppose -w + 241 = -260. Suppose -4*t = -3*t + w. Let c be (-2)/3 - t/9. What is the highest common factor of 11 and c?
11
Let i = -14 + 22. Suppose h - 36 = 4*s, 0 = 5*s + 4 + 1. Calculate the greatest common divisor of i and h.
8
Let i = 2 - 2. Suppose i = p - 25 + 4. What is the highest common divisor of 7 and p?
7
Suppose 0*z = 4*z - 200. Calculate the greatest common divisor of 30 and z.
10
Suppose 4*j - 10 = -3*l, -2*l = 2*l - 2*j - 6. Let m be (18/(-12))/(l/(-32)). What is the highest common factor of 36 and m?
12
Suppose 0 = -c + 1 + 8. Suppose -4*x - 4*h = -h - 15, x - 5*h = -2. Suppose x = -3*m + 4*m. Calculate the greatest common divisor of c and m.
3
Let o be 548/10 + 3 + (-9)/(-45). What is the highest common divisor of 87 and o?
29
Suppose -5*z = -90 + 35. What is the greatest common factor of z and 77?
11
Let y be ((-6)/18)/(1/291). Let c = -37 - y. Calculate the highest common divisor of 24 and c.
12
Let p(v) = 57*v - 129. Let z(l) = -7*l + 16. Let r(k) = 4*p(k) + 33*z(k). Let f be r(-10). Calculate the greatest common factor of 14 and f.
14
Let l be ((-1)/(-1))/(1/(-10)). Let z = 20 + -2. Let x = l + z. What is the highest common divisor of 88 and x?
8
Suppose 14 = -3*x + 6*x + s, x - 18 = -3*s. Let b = -5 + x. Let w be (b/(-4) - 2)*-10. What is the greatest common factor of 165 and w?
15
Let x be ((-1)/(-3))/((-3)/(-801)) - -1. Calculate the highest common divisor of x and 135.
45
Suppose 3*h = -2*k - 0*h - 8, 5*k = h + 14. Let i be ((-10)/(-6) - 0)*18. Suppose -k*d = d - i. Calculate the highest common factor of d and 25.
5
Let s(n) = -3*n - 2*n - 3 + 5*n + 5*n. Let y be s(5). What is the greatest common divisor of y and 11?
11
Let x be ((-19)/2)/(11/(-22)). Let i = 25 - x. Calculate the highest common divisor of 6 and i.
6
Suppose a + 0*a + q - 22 = 0, a + 2*q - 27 = 0. Calculate the highest common divisor of 153 and a.
17
Suppose -5*f = 4*w - 275, 5*w - 346 = -3*f + 14. What is the highest common divisor of w and 30?
15
Suppose 4*x = -m + 13, m + 4*m - 3*x + 4 = 0. What is the highest common factor of m and 8?
1
Let w = 14 - -18. What is the greatest common factor of w and 48?
16
Let z(c) = 24*c + 1. Let k be z(8). Let r = 283 - k. What is the greatest common divisor of r and 18?
18
Suppose -2*h = -5*k + 4*k - 19, k - 5 = -h. What is the highest common factor of 8 and h?
8
Suppose -3*a = -0*a - 30. Suppose -3*c - a = -8*c. What is the highest common factor of c and 2?
2
Let q be -2*(-6 + -4 + 3). Calculate the greatest common factor of q and 14.
14
Let g = -1 - -4. Let w(p) = p**3 - 2*p**2 + p. Let l be w(g). What is the highest common divisor of l and 96?
12
Let f = -56 - -99. Calculate the highest common divisor of 43 and f.
43
Suppose -84 = -4*f + x, -6*f = -4*f + x - 36. Let s(t) = t**3 + 16*t**2 + 15*t + 4. Let k be s(-15). Calculate the greatest common factor of f and k.
4
Suppose -4*j + 12 = 0, 0 = -4*y + 7*j - 2*j + 13. Let i = 25 + -18. Let x = 7 + i. Calculate the highest common divisor of x and y.
7
Let j be 0 + ((-32)/(-6))/((-12)/(-18)). What is the greatest common factor of 80 and j?
8
Let f = -64 - -86. What is the highest common factor of 33 and f?
11
Suppose 2*k = 4*t - 42, 6*k + 97 = k + 2*t. Let i = k + 20. Let l be (-2)/(18/(-8) + 2). Calculate the greatest common divisor of i and l.
1
Let z = 119 - 67. Let o be 2*(-10)/4*-1. Suppose o*g = 10*g - 65. Calculate the highest common factor of z and g.
13
Let d = 221 - 122. Suppose -2*o + 13 = 2*x - 5*o, 0 = 3*x + 4*o - 45. Calculate the highest common divisor of x and d.
11
Let z be 60/18 + 2/3. What is the greatest common factor of 20 and z?
4
Let l = -3 + 3. Suppose 5*d + 3 = w, 4*w + l = -2*d - 10. Let h be 3/(w/4 + 1). Calculate the greatest common factor of 42 and h.
6
Let j be 1/(-4) - 411/(-12). Suppose v - 85 = f, -5*v - 3*f + 4*f = -425. What is the greatest common factor of j and v?
17
Suppose -3*a - 5 = z, -2*z - 2*a + 30 = -6*a. Suppose z*i = 4*i + 45. Suppose w + 2 = 3*l + 22, 4*w - l = 25. What is the greatest common factor of w and i?
5
Suppose -3*m + 4*m - 12 = 0. What is the greatest common divisor of 18 and m?
6
Let h be (-7 - -4)/(3/4). Let u(c) = c**2 + 2*c - 5. Let o be u(h). What is the greatest common factor of o and 33?
3
Suppose 4*v = 6*v - 468. What is the highest common factor of 26 and v?
26
Let n(w) = -w**3 - 10*w**2 - 5*w - 14. Suppose -3*t - 5*l - 39 = 1, -t = -4*l + 2. Let g be n(t). What is the greatest common factor of 9 and g?
9
Let b be 16*(-3)/((-18)/(-3)). Let k(m) = -6*m - 12. Let x be k(b). Calculate the highest common divisor of x and 4.
4
Suppose 67 = 3*i + 5*l, -2*i = -6*i + 4*l + 132. Let s = i + -17. Calculate the highest common factor of s and 8.
4
Suppose 3*k + k = o + 72, -3*k - 5*o = -54. Calculate the highest common factor of 234 and k.
18
Suppose 0 = u + u - 6. Calculate the highest common divisor of u and 12.
3
Let r be (-10)/(-2) - (1 - 3). Suppose 3*m + r = 25. Calculate the highest common divisor of 42 and m.
6
Suppose 0 = -5*q - 4*y + 52 + 180, q - 3*y = 35. Suppose 4*n - n - 12 = 0. What is the greatest common factor of q and n?
4
Let y(l) = 3*l - 3 - 3*l - 6*l. Let c be y(-3). Let k = c + -4. Calculate the greatest common factor of 44 and k.
11
Let s = 11 - 6. Suppose 0 = -4*u - 4, -3*u + 13 = s*k - 4. Suppose 0*m + m - v = 22, -3*m + k*v = -69. Calculate the greatest common divisor of m and 209.
19
Suppose 10*q = 11*q - 6. Let l(m) = 8*m - 3. Let d be l(q). What is the highest common factor of d and 15?
15
Let l(t) = -27*t. Let h be l(-4). Let o(s) = 2*s - 14. Let n be o(13). Calculate the greatest common divisor of h and n.
12
Suppose 2*q + 650 = 7*q. What is the greatest common factor of q and 52?
26
Suppose 5*r = 3*l + 1144, -r - 8*l = -3*l - 240. Calculate the greatest common divisor of r and 10.
10
Suppose 0 = -4*j - 2*j + 54. What is the highest common factor of 9 and j?
9
Let k(g) = 92*g**2 + 9*g + 13. Let m be k(-2). What is the greatest common factor of m and 33?
33
Let a = -10 + 8. Let x(m) = -m**2 - 2*m - 1. Let q be x(-1). Let w be q + 1 + 4 + a. Calculate the greatest common factor of w and 6.
3
Let t(p) be the third derivative of p**5/15 + 7*p**4/24 - 7*p**3/6 - 8*p**2. Let w be t(-6). Calculate the greatest common factor of 19 and w.
19
Let f(t) = -t - 12. Let k be f(-13). Calculate the greatest common divisor of k and 3.
1
Suppose 0 = -a - 4*a - 3*m + 573, 3*a - 344 = -2*m. Suppose 0 = 5*u + 4*f - a - 266, 5*u + f = 365. What is the greatest common factor of 9 and u?
9
Suppose -3*z = -5*z + 26. Let g(q) = -q**2 + 13. Let m be g(0). What is the greatest common factor of m and z?
13
Suppose 0 = 5*p - 24 - 6. Suppose -p*r + 30 = -3*r. Calculate the highest common factor of 30 and r.
10
Let q be (-2)/2 - 4/(-1). Let z be (3*58)/q + -2. Calculate the highest common divisor of 8 and z.
8
Suppose -2*n = -7 - 7. What is the highest common factor of 7 and n?
7
Suppose 2*h + 63 = 7*h + p, -4*h + p = -54. W