21 = 3*a. Let c(r) = -r. Let j be c(a). Let g(l) = 39*l + 1. Let b be g(j). Calculate the greatest common divisor of 8 and b.
8
Suppose 7*k - 12*k + 80 = 0. Suppose 0 = -5*s + 779 + 101. Calculate the greatest common divisor of s and k.
16
Let p = -107 + 155. Calculate the highest common factor of 16 and p.
16
Let j(b) = b**2 + 2*b - 5. Let l be j(-5). Let m(s) = -s + 7. Let v be m(-3). Calculate the highest common factor of v and l.
10
Let g(l) = -2*l + 1. Let c be g(-5). Let t = -7 + c. What is the greatest common factor of t and 36?
4
Let x be (-14)/(-35) - 8/(-5). Suppose 0*i - 4 = -2*i, 0 = x*a + 4*i - 122. Let k = a - 23. Calculate the highest common divisor of k and 51.
17
Let c(u) = u**2 - 10*u - 10. Suppose f + 1 - 12 = 0. Let y be c(f). What is the greatest common factor of y and 1?
1
Let v = -2 - -5. Calculate the greatest common divisor of 12 and v.
3
Suppose 0 = 2*o - 3 - 1. Suppose -o*k - 475 = -5*v + 3*k, -k + 4 = 0. What is the highest common divisor of 11 and v?
11
Let m be (-1)/(0 - (-3)/(-60)). What is the greatest common factor of 70 and m?
10
Let o be 28/(-154) + 398/11. What is the highest common divisor of 9 and o?
9
Suppose t - 28 = -4*y, -t + 5*y - 4*y + 8 = 0. Suppose -2*m - 579 = m. Let l be 3/(-6) - m/2. What is the highest common factor of t and l?
12
Let k(t) = 50*t**2 - t + 1. Let y be k(1). Calculate the highest common divisor of 20 and y.
10
Let w be (-4 + 1)*(-33)/9. Suppose -l = -6*l + 25. Suppose l*q + 293 = 898. Calculate the highest common divisor of w and q.
11
Let j(a) = a**2 + 8*a - 6. Let o be j(-10). Calculate the greatest common factor of o and 112.
14
Suppose 0 = -3*m + h + 78, 3*h = -0*m + 3*m - 78. What is the greatest common factor of 39 and m?
13
Suppose -39 - 29 = -4*k. Suppose 0 = 5*z - 298 - 552. Calculate the highest common divisor of z and k.
17
Suppose 4*r - 594 = 2*r. What is the greatest common factor of r and 27?
27
Suppose -5 = k, -4*k = -2*c + k + 105. What is the highest common divisor of c and 10?
10
Let d(z) = 24 - 5*z - 48 + 22. Let m = 8 + -14. Let j be d(m). Calculate the highest common factor of j and 70.
14
Suppose 5*x + 8 = 28. Suppose -4*k - 14 = 2*d + 74, -5*d = x*k + 250. Let o be d/4*(-2)/3. What is the greatest common divisor of o and 36?
9
Let x be (2*-11)/(4/(-14)). What is the greatest common divisor of 7 and x?
7
Let s = -19 - -13. Let v(p) = -p - 4. Let f be v(s). Suppose 3*u = b - 7, -7 - 3 = -f*u. What is the greatest common factor of b and 55?
11
Let v = 23 + -10. Let f be (-7 - -4) + 6 - (-10 + 0). Calculate the highest common factor of v and f.
13
Let a(i) = 6*i**2 + 3*i + 7. Let q be a(-6). Calculate the greatest common factor of 41 and q.
41
Suppose 3*m - 5*d - 20 = -0*m, 2*d = -2. Suppose -3*i - 4 = -m*i. Suppose 3*o - 2 = -8, -4*o - 30 = -i*x. Calculate the greatest common divisor of x and 33.
11
Suppose -4*f = -2*f - 2. Let b be (-2)/f*5/2. Let p = b + 23. Calculate the greatest common divisor of p and 45.
9
Let b(u) = -6*u + 10. Let j be b(-3). Let x be (-3 + j/16)*-108. What is the highest common factor of 54 and x?
27
Suppose -12 = -3*w - 0*w. Suppose -p = 3*d - w*d + 6, -d - 8 = p. Let q(o) = o**2 + 6*o + 3. Let n be q(p). What is the highest common divisor of n and 4?
2
Let n(l) = l**3 - 4*l**2 + 4*l + 5. Suppose -5*h = -h. Suppose h*x = 3*x - 12. Let d be n(x). Calculate the greatest common factor of d and 168.
21
Suppose -51 - 25 = -4*n. What is the highest common divisor of 76 and n?
19
Let x(s) = s**3 + 28. Let f be x(0). Calculate the greatest common factor of f and 4.
4
Let o = -55 + 99. Suppose 5*t = -c + 24, -4*t = t - 5*c. Calculate the highest common divisor of t and o.
4
Let k(w) = -w**3 + 11*w**2 - 10*w + 6. Let d be k(10). What is the highest common factor of d and 9?
3
Suppose 3 = 4*d + 5*f, -3*d = -d + 4*f - 6. Let r(x) = 2*x**2 + x + 1. Let u be r(-3). Let j = d + u. Calculate the highest common divisor of 13 and j.
13
Let y = 13 - -7. Suppose -4*o + 180 = -3*o. Calculate the highest common factor of o and y.
20
Let h = 7 + -4. Suppose 5*u = -3*x + x + 200, -h*u + 2*x = -120. Calculate the highest common factor of u and 8.
8
Suppose 4*a + 8 = 0, -4*k + 4*a = -3*k - 13. What is the highest common factor of k and 10?
5
Suppose 23 = 2*y + 5. Let t = y - 5. Suppose 6*g - 20 = g. Calculate the greatest common divisor of t and g.
4
Let q(z) = z**2 - 2*z + 8. Let c be q(6). Let h(d) = 79*d**2 + 1. Let v be h(-1). Calculate the highest common divisor of c and v.
16
Suppose 0 = -3*c - 0*c + 33. Let v = c - 7. Calculate the greatest common divisor of v and 44.
4
Suppose -5*k + 87 = -23. Calculate the highest common factor of 110 and k.
22
Suppose 4*w - 56 = -0*w. What is the greatest common divisor of 224 and w?
14
Suppose -3*o = -16 + 1. Suppose 0 = -o*t - 0*t - 15. Let q be (t + 5)*-1 + 52. What is the greatest common factor of 10 and q?
10
Let a = 107 - 88. Calculate the greatest common divisor of 76 and a.
19
Suppose -2*b + 8 = -20. Suppose -3*t + r + 1162 = 0, t - r - 1548 = -3*t. Suppose -3*u = -t + 92. What is the greatest common divisor of b and u?
14
Let x = 9 + 1. Let k = x + -3. Suppose 4*m + 12 = 2*j, -k*m = j - 3*m - 18. What is the greatest common divisor of 15 and j?
5
Let o = 8 + -11. Let y be 46 + 2 - (0 - o). Calculate the greatest common factor of y and 18.
9
Suppose -3*q + 33 = z, 0 = -q + 2*z - 3*z + 13. Suppose -5 = -w + q. What is the highest common divisor of w and 75?
15
Let b be -6 - (-4)/2 - -121. Suppose -6*o + 1077 = b. Calculate the greatest common factor of o and 20.
20
Let j(b) = -12*b - 51. Let x be j(-6). Let s = -29 - -71. What is the highest common factor of s and x?
21
Suppose -4*c = -3*q + 62, -37 = 4*c + 4*q + 11. Let a = c - -20. What is the highest common factor of 66 and a?
6
Let q(v) = 2*v + 6*v + v**2 + v + 0*v**2 + 4. Let n be q(-10). Calculate the greatest common divisor of 7 and n.
7
Let b = -5 - -8. Suppose -n + 65 = -2*d + d, 2*n = b*d + 131. Suppose -2*y = 4*u + y - 20, 5*u = -y + 36. Calculate the greatest common factor of u and n.
8
Let b be 2 + 0 + (1 - 1). Let p be ((-1)/b)/((-4)/88). What is the greatest common factor of 121 and p?
11
Let s = -22 + 16. Let r(l) = -l - 2. Let h be r(s). Suppose 0 = -4*o - 2*i + 90, h*o - 2*i = o + 78. What is the highest common divisor of 60 and o?
12
Let j(t) = t**2 + 2*t - 42. Let g be j(8). What is the highest common factor of 76 and g?
38
Suppose n - 3*y + 4 = 0, -5*n - 5*y + 50 + 10 = 0. Suppose 40 = 3*p - n. Suppose x - 8 = p. What is the greatest common factor of 6 and x?
6
Suppose -3*g = -5*g + 20. Suppose -v - 2 = -2*v. Suppose -v*s = 2*s - 320. Calculate the highest common divisor of s and g.
10
Let j = 19 - 18. Calculate the greatest common divisor of 1 and j.
1
Let x(j) = -j**2 - 11*j - 7. Let y be x(-9). What is the highest common factor of 22 and y?
11
Let y be (-1)/(10/(-8) + 1). Let s(i) = -i**3 + 5*i**2 + 10*i - 8. Let z be s(6). Calculate the greatest common factor of z and y.
4
Let t = 75 - 53. What is the greatest common divisor of 99 and t?
11
Let n(f) = 2*f + 17. Let i be n(-7). Let z be (i + 12)*(2 - -1). Calculate the highest common divisor of 9 and z.
9
Suppose 3*m - 22 - 32 = 0. Suppose -o + m = 2*o. Calculate the greatest common factor of 24 and o.
6
Let d(m) = m**2 - 3*m + 6. Let t be d(3). Calculate the greatest common divisor of t and 42.
6
Suppose -b = -5*j + 19, -3*j + 29 = -3*b + 8. Suppose -5*s - 8 = g, 4 = j*s - 5*s. Suppose 2*u + g*u = 64. What is the highest common divisor of 176 and u?
16
Let m(c) = -c**3 + c**2 - 5. Let l be m(0). Let x be (6/3 - 13)*l. Suppose y = 4*o - y - 26, 2*y = -6. What is the greatest common divisor of x and o?
5
Suppose 14 = 2*n - 6. Calculate the greatest common factor of n and 40.
10
Let i(a) = 8*a**2 - 6*a + 1. Let q be i(3). What is the greatest common factor of q and 11?
11
Let h be (-2 - (-2 - 6))*5. What is the highest common divisor of h and 15?
15
Let z = 169 + -7. Calculate the highest common factor of z and 18.
18
Suppose 8 + 19 = -z. Let c = z + 54. Calculate the highest common divisor of 9 and c.
9
Let s = 9 + 1. What is the greatest common divisor of 40 and s?
10
Let q(o) = -o**3 + 7*o**2 + 8*o + 2. Let y be q(8). Let n(g) = 3 + 5*g**y - g**3 + 8*g + 0 - 2*g. Let u be n(6). Ca