et n(f) = f**2 - 18*f - 21. Let c be n(21). Calculate the highest common divisor of c and 14.
14
Let u(q) = 3*q. Let y be u(1). Let m be 1 - 0 - -1*y. Let c = -3 - -9. What is the highest common factor of c and m?
2
Let q(t) = 2*t - 4. Let y(h) = h**3 + 2*h**2 + 2. Let p be y(-3). Let u be q(p). Let m = -3 - u. What is the highest common factor of 10 and m?
5
Let y be (2/(-4))/(10/(-60)). Suppose -72 = -s - i, 0 = -0*s - y*s - 2*i + 216. Calculate the highest common factor of 18 and s.
18
Suppose 3*b - 2 + 8 = 0. Let h = 7 + b. Let g be (h + 3)/((-2)/(-8)). What is the highest common divisor of g and 8?
8
Let y(b) be the third derivative of b**4/8 - 2*b**3 - 4*b**2. Let g be y(9). Calculate the greatest common divisor of 105 and g.
15
Let j(w) = w**2 + 6*w - 7. Let h be j(-8). Let i be (1 - (1 - -2)) + 38. What is the greatest common factor of i and h?
9
Let p = 3 + -2. Suppose 2*c + 14 = 3*y, 3*y + 22 - 1 = -3*c. Let n = p - c. Calculate the highest common divisor of n and 40.
8
Let h(x) = -x**3 - 7*x**2 + 6*x - 8. Let u be h(-9). Calculate the highest common factor of 40 and u.
20
Let a(l) = -19*l + 1. Let r be a(3). Let v = r + 80. What is the greatest common divisor of 3 and v?
3
Let l(q) = q**3 + 4*q**2 + 3*q + 2. Let g be l(-3). Suppose 4*c = g*t + 566, 3*c - 727 = -2*c - 4*t. What is the greatest common divisor of 13 and c?
13
Let h be (3/2)/(15/100). Let r = h + -3. Calculate the highest common factor of r and 56.
7
Suppose -y - 4*y - 7 = 2*k, 0 = -k + 2*y + 19. Let x be 8 + -11 - (-5 + 1). What is the greatest common factor of k and x?
1
Let z(u) = -u + 7. Let p be z(-8). Let v(c) = 2*c - 5. Let h be v(4). Calculate the greatest common factor of h and p.
3
Let r(y) = 7*y**3 - y**2 - 3*y - 7. Let i(c) = -c**3 - c**2 + c + 1. Let m(j) = 5*i(j) + r(j). Let z be m(5). What is the highest common divisor of z and 12?
12
Let v(b) = b**3 + 6*b**2 - 4*b - 19. Let u be v(-6). Suppose 5*n + 5*j = 75, 4*j + 30 = 4*n - 2*n. Calculate the highest common divisor of n and u.
5
Let n(s) = 3*s**2 + 2*s - 4. Let p be n(-4). Let a = 129 - 75. Calculate the highest common factor of p and a.
18
Let v = -172 + 180. What is the highest common factor of v and 6?
2
Let i = -71 + 42. Let y = 3 - i. Let m(a) = 8*a**2 - a - 1. Let j be m(-1). Calculate the highest common divisor of j and y.
8
Suppose 5 = -2*n + 35. What is the highest common divisor of n and 3?
3
Suppose 5*i + i - 522 = 0. Calculate the greatest common factor of 29 and i.
29
Let l be (2 - 0)/(4/10). Suppose l*k = -0*b - b + 48, -34 = -3*k + 2*b. What is the greatest common factor of k and 70?
10
Suppose -48 - 32 = -4*s. Calculate the highest common factor of 220 and s.
20
Let q be 18*((-84)/(-9) - -2). Suppose -5*n = -2*n - q. What is the greatest common factor of n and 17?
17
Let k(d) = d + 11. Let y be k(-7). Let b = 4 - y. Suppose -h - 5 + 13 = b. What is the greatest common divisor of 8 and h?
8
Let d = -37 + 71. What is the highest common factor of 119 and d?
17
Suppose 3*s + 6*c - 6 = 4*c, -s + c = 3. Suppose -2*f - 24 = -t, -4*t - 5*f + 46 + 102 = s. Let a = -256 + 260. What is the greatest common divisor of t and a?
4
Let z = 86 + -32. Calculate the greatest common factor of 6 and z.
6
Let r = 23 + -40. Let j = -8 - r. Suppose 4*b - 7*t - 412 = -3*t, 8 = -2*t. Calculate the greatest common factor of b and j.
9
Suppose -p + 10 - 4 = 0. Let b = -22 - -25. What is the highest common factor of p and b?
3
Suppose -35 = 3*u - 62. Let f = 2 - -1. Suppose -3*t + f*m + 180 = t, 4*t - m = 180. Calculate the highest common divisor of u and t.
9
Suppose 4*m + m + n = -60, -5*n - 47 = 2*m. Let a = -5 - m. Calculate the greatest common factor of a and 54.
6
Let z(n) = n**3 + 5*n**2 - 2*n. Let y be z(-3). Let r = 61 + -49. Calculate the highest common factor of r and y.
12
Let u(r) = -r**2 + 5*r + 7. Let s be u(6). Suppose 0 = c - 5*z + 6, -z = -3*c + 4*z + 12. Calculate the highest common factor of s and c.
1
Let y(b) = -2*b**3 - 3*b**2 + b - 4. Let h be y(-3). Calculate the greatest common divisor of h and 30.
10
Let d = 9 - 13. Let u be (-9*1)/(2/d). Suppose -z - 58 = -5*y, 5*y + 2*z - 68 = -2*z. What is the greatest common factor of y and u?
6
Suppose 7*o = 9*o. Suppose o = m + 5*h - 23, -2*m - 2*h = m - 43. What is the greatest common factor of 65 and m?
13
Let f(p) = -14*p - 2. Let a be f(-2). Let c = a + -37. Let k = 20 + c. What is the greatest common divisor of 9 and k?
9
Let l(f) = f**3 + 3*f**2 + 2*f + 2. Let j be l(-2). Suppose j*x = -2 + 22. Calculate the highest common divisor of 15 and x.
5
Suppose -21 = -5*c + 79. Calculate the greatest common divisor of 160 and c.
20
Suppose 0 = 2*j - 37 - 41. What is the highest common divisor of j and 26?
13
Let v(n) = -2*n + 1. Suppose -15 = 3*g - 3. Let k be v(g). Calculate the highest common factor of k and 99.
9
Suppose -4*f = 3*n - 5, 5*f + 1 + 4 = 0. What is the greatest common factor of n and 1?
1
Suppose 4*b - 235 - 85 = 0. Let w be 6/9*(-9)/(-2). Suppose 0*x - 96 = -w*x. What is the greatest common factor of x and b?
16
Let z be ((-77)/7)/(1/(-1)). What is the highest common divisor of z and 121?
11
Let j be (-3 + 1)*(-20 + 6). Let z be 23*3 - (1 - 2). What is the greatest common factor of z and j?
14
Suppose u = 4*d - 7*d + 20, 0 = -u - 1. What is the greatest common divisor of d and 35?
7
Let y(m) = m**3 + 12*m**2 + 12*m + 13. Let z be y(-11). What is the highest common divisor of 6 and z?
2
Let a(o) = -5*o - 3. Let h be a(-5). Suppose -14*q + 18*q = 220. Calculate the highest common factor of q and h.
11
Let z(a) = a**3 + 4*a**2 - a - 1. Let r be z(-4). What is the highest common divisor of r and 9?
3
Let b(r) = r**2 + 2*r + 3. Let f be b(6). What is the highest common factor of f and 34?
17
Suppose -5*y = -15, -4*y + 2 + 5 = -5*u. What is the highest common factor of 3 and u?
1
Suppose -1 - 2 = 3*b, 0 = 5*x + 2*b - 118. Suppose 5 = 4*w - 7. Suppose -2*o + w*o - 60 = 0. What is the greatest common divisor of o and x?
12
Let i(g) = g**2 - 7*g + 4. Let a be i(7). Let x(z) = a*z**2 + 0 + z**3 - 1 + 0 - 2*z - 5. Let t be x(-4). What is the greatest common factor of 14 and t?
2
Let j(g) = 2*g**2 - 6*g + 5. Let h be j(5). What is the greatest common factor of h and 50?
25
Let z be -16*(3 + -10*1). Suppose 2*c - 6 = -w, -5*w - c = -3*c - 90. What is the greatest common factor of w and z?
16
Let u = 24 - 8. Calculate the greatest common divisor of u and 2.
2
Let z(m) = -m**2 + 8*m + 4. Let j be z(7). Calculate the greatest common divisor of 44 and j.
11
Suppose 5*d - 4*y = d + 96, 0 = d + y - 32. Calculate the greatest common factor of 42 and d.
14
Suppose 1 - 6 = -4*a - 5*p, -2*a + 4 = 2*p. Suppose 0*s - a*s = -10. Let t = -2 + 12. What is the greatest common divisor of s and t?
2
Suppose 4*d - 428 = -5*l, -l - 2*d = -4*d - 94. Let k = 5 - 3. Suppose -o = -20 - k. Calculate the highest common factor of l and o.
22
Let b(r) = -r**2 - 1. Let s(u) = 3*u**2 + 7. Let a(g) = 4*b(g) + s(g). Let i be a(0). Suppose -22 = i*j - 67. What is the highest common factor of j and 15?
15
Let q = 45 + 32. Let s = -41 + q. What is the highest common factor of 9 and s?
9
Suppose 2*v + a - 34 = 0, -3*v + 68 = v - a. What is the greatest common factor of 425 and v?
17
Let y = 1 - -3. Suppose -7 = -l - y. Let f(k) = k**2 + 3*k + 2. Let c be f(l). Calculate the highest common divisor of 10 and c.
10
Suppose -15*g + 1534 = 454. What is the highest common divisor of g and 48?
24
Let i(p) = -18*p - 28. Let o be i(-4). What is the highest common factor of 110 and o?
22
Let z = 258 + -54. Let p = z - 108. What is the highest common divisor of 12 and p?
12
Let n = 0 - -8. Suppose -3*j + 5*g + 16 = 0, -29 = -j - 3*g - 5. What is the greatest common factor of j and n?
4
Suppose -4*l - l - 30 = 0. Let o be (-20)/(-6)*l/(-4). Calculate the highest common factor of 45 and o.
5
Let m = -13 + 9. Let x(t) = -t - 9. Let z(w) = -w - 6. Let g(r) = -5*x(r) + 7*z(r). Let v be g(m). What is the greatest common divisor of v and 33?
11
Suppose 4*s - s = 6. Suppose 0 = s*y + b + 3, 2*y + y = 4*b - 21. Let j be 22/3 + y/9. What is the highest common factor of j and 56?
7
Let b(m) = -m**3 - m**2 + 2*m + 140. Let w be b(0). Calculate the highest common factor of w and 28.
28
Suppose 15 = -0