et r(p) = p**2 + 46*p - 431. Let n be r(-54). Suppose -2*x - 3*x = -50. Let c be (1 + 2)/(6/x). What is the greatest common factor of c and n?
1
Let i be (-6)/39 + 4620/(-52). Let f = i + 131. Calculate the greatest common divisor of f and 12.
6
Suppose 0 = -3*y + 5*f + 11, 5*y + 5*f - 9 = 4*f. Suppose -c + 14 = y*s, 3*c - 2*s - 46 = 28. What is the greatest common factor of 22 and c?
22
Suppose -2*p - 50 = -7*p. Let k(o) = o**3 - 11*o**2 + 12*o - 1. Let q be k(p). What is the highest common factor of 171 and q?
19
Suppose 0 = -46*j + 1669 + 631. What is the highest common factor of 610 and j?
10
Suppose -x + 200 = 5*n, -4*n = -2*x + 441 + 29. What is the greatest common divisor of x and 135?
45
Suppose -3*m = 3*k + 95 - 230, -135 = -4*k + 5*m. What is the greatest common divisor of 408 and k?
8
Let b = 6 - 1. Suppose 3*j = -0*y - 2*y + 22, -b*j + 2*y = -10. Let r be 512/36 + j/(-18). Calculate the highest common divisor of r and 126.
14
Let u(w) = -3*w + 6. Let s be u(-8). Let x be (-2)/5 - (-222)/s. Let y(c) = 9*c + 9. Let r be y(x). What is the greatest common factor of r and 18?
18
Suppose -171 - 63 = -39*a. Let q = 3 - 4. Let f(x) = 8*x**2 + 1. Let p be f(q). What is the greatest common factor of a and p?
3
Let l(w) = -w**2 - 9*w - 5. Let u be l(-9). Let f be -27*u*2/6. Suppose -f = -5*y + 35. Calculate the highest common divisor of 80 and y.
16
Let s(p) = p**2 + 7*p + 4. Let f be s(-4). Let u be (-6)/f - (-97)/4. Suppose 6*d - 41 = 1609. What is the greatest common divisor of d and u?
25
Let p(c) = c - 9. Let d be p(9). Suppose d = 3*h + u - 47, -37 = -5*h + 3*u + 32. Calculate the greatest common factor of 10 and h.
5
Suppose -4*x - 32 = 10*v - 14*v, 2*v = -5*x + 44. Calculate the highest common factor of 252 and v.
12
Let d(c) = c**3 - 3*c**2 + 8*c. Let n be d(2). Suppose n = 2*j + 2*l, 4*l - 9 = -2*j + 3*l. Calculate the highest common factor of j and 2.
1
Let q be (266/(-114))/((-3)/351). What is the highest common factor of 84 and q?
21
Suppose 2*t + 0 = -22. Let a(w) = w**2 + 8*w - 3. Let f be a(t). Calculate the highest common divisor of 150 and f.
30
Let u be -87*(-10)/15 - (1 - 0). Let j = u + -7. Calculate the highest common factor of j and 75.
25
Suppose -4*c - 8*o + 3*o + 326 = 0, 4*o = -4*c + 328. Calculate the highest common factor of 3 and c.
3
Let b be ((-12)/(-5))/(6/15). Suppose a + 40 = b*a. Let c = 19 - a. Calculate the greatest common factor of 22 and c.
11
Suppose -4*t = -21 - 59. Calculate the greatest common factor of t and 470.
10
Let p be (2/(-5))/((-2)/20). Suppose -3*d - 4 = -p*d. Suppose 3*r - 3 = -2*l - 1, 2*r + 5*l + 6 = 0. What is the highest common divisor of r and d?
2
Suppose -4*t = -5*n + 1453 - 72, 2*n - 538 = -2*t. Calculate the greatest common divisor of 6 and n.
3
Let h = 148 + -136. Calculate the greatest common factor of h and 96.
12
Let f = -11 + 7. Let b(j) = -8*j - 3. Let m be b(f). Suppose -3*q + m = -70. Calculate the greatest common divisor of q and 3.
3
Suppose -4*d - 4*s = -3584, -d = 2*d - 4*s - 2695. Calculate the greatest common divisor of d and 78.
39
Suppose -3*v - 2*v - 4426 = -4*o, 0 = 9*v + 18. What is the highest common factor of 69 and o?
69
Suppose 12*t = 8*t + 20. Suppose 3*q - 15 = -2*a + a, -2*q + 140 = t*a. Let g = a + -14. Calculate the highest common divisor of 16 and g.
16
Suppose 0 = -7*q + 4*q + 75. Suppose u + 2*y = q, 3*u + 3*y - 2*y = 55. Calculate the greatest common divisor of u and 119.
17
Let n(t) = -2*t**3 - 4*t**2 - 5*t - 40. Let d be n(-4). What is the greatest common factor of 99 and d?
11
Let h(a) = -8*a**2 - a + 6*a + 6 - a + a**3 + 5*a. Let p be h(8). Suppose -y = -3*y + p. What is the greatest common divisor of y and 13?
13
Suppose 4*r - 4*i + 18 - 126 = 0, 30 = r - 4*i. Suppose o - 23*a + 21*a = 63, -5*a = 4*o - 265. Calculate the highest common divisor of r and o.
13
Let t be (-6)/33 - 201*(-8)/132. Calculate the highest common divisor of t and 68.
4
Let w(y) = -4*y**2 + 6*y - 8. Let x(j) = -12*j**2 + 17*j - 23. Let l(h) = 17*w(h) - 6*x(h). Let i be l(1). Calculate the greatest common factor of i and 4.
2
Suppose 0*s - 5*s = 60. Let h = s - -16. Suppose h*m - 8*m = -48. Calculate the highest common factor of m and 12.
12
Suppose 3*m - 2*i - 10 = -0, 5*i - 20 = 0. What is the greatest common factor of 30 and m?
6
Suppose -2*n = -5*n - 15, 34 = 3*k + 4*n. Calculate the highest common divisor of k and 150.
6
Suppose 5*c = 18 + 22. Suppose 0 = c*k - 4*k - 44. Let x = -4 + k. What is the highest common factor of x and 35?
7
Let k be (5 - 4) + 1*4. Suppose -3*t - k*v + 83 = 0, -2*v = t - 6*v - 5. What is the greatest common divisor of t and 28?
7
Suppose y + 0*y = 462. Suppose 2*c + y = -c. Let u = -106 - c. Calculate the greatest common divisor of 72 and u.
24
Let a be 15/(-6)*(-108)/10. What is the highest common factor of a and 1?
1
Suppose h - 2 = z, 2*h = 6*h - 20. Suppose -3*k + z = -0*k. Suppose 0 = -5*q - 3*p - 0*p + 43, -5*q = -p - 39. What is the greatest common divisor of k and q?
1
Let l be 2 + (-34)/(-2) + -1. Let u be (-6 + 9)*4 + (1 - 1). What is the highest common divisor of l and u?
6
Let g(n) = -2*n**3 - n**2 + 2*n - 4. Let l be g(-4). Let r be l/15*9/2. Calculate the greatest common divisor of r and 50.
10
Suppose -19 = -4*n - 3. Suppose -2*f - 15 = -7*f, 5*x - 198 = n*f. What is the greatest common factor of x and 6?
6
Let v be -1*(-46)/(-1)*-1. Suppose -4*g = -8*g - m + 281, 25 = 5*m. Calculate the greatest common divisor of v and g.
23
Let n = 10 + -8. Let h(a) be the third derivative of a**6/120 + a**4/24 + a**3/6 - 5*a**2. Let i be h(n). Calculate the highest common factor of i and 88.
11
Suppose 2*r - 108 = -3*r + 2*k, -k - 109 = -5*r. Let h(y) = y + 3. Let d be h(r). What is the greatest common divisor of 20 and d?
5
Let c(p) = 3*p + 114. Let i be c(-35). Calculate the highest common factor of 207 and i.
9
Let r = -28 + 30. Let h be ((-2)/(-6))/(r/42). Calculate the greatest common divisor of 56 and h.
7
Let y(w) = -w**2 + 15*w + 23. Let l = 51 - 36. Let u be y(l). Calculate the greatest common factor of u and 92.
23
Let r = 1180 + -500. Suppose -r = 2*x - 6*x. What is the greatest common divisor of x and 34?
34
Let g be ((-3)/(-2) - -3)/((-27)/(-378)). Calculate the highest common factor of g and 7.
7
Let n be (-2696)/(-48) + (-3 - 68/(-24)). What is the highest common factor of n and 35?
7
Let t = -2 + 23. Suppose -3*v - t = 42. Let q = v + 23. Calculate the greatest common divisor of q and 14.
2
Suppose 0 = 21*y - 196 - 266. What is the highest common factor of y and 6?
2
Suppose 6*a - 24 = 2*a. Let p = 24 - 21. Calculate the greatest common factor of p and a.
3
Let v be 1 - ((-16)/2 + -186). Calculate the highest common divisor of 240 and v.
15
Suppose 7*v = 8*v - 26. Suppose 3*s = 3*i - 618, 2*i - 3*i + 5*s = -198. Calculate the highest common divisor of i and v.
26
Let y = -440 - -584. What is the highest common divisor of 108 and y?
36
Suppose 5*i + 85 + 180 = 0. Let y be 4/(-12) - i/(-3). Let n be ((-1)/2 + 0)*y. Calculate the highest common divisor of 27 and n.
9
Let p(v) = 13*v**2 - v + 2. Let i be p(-2). Let a(y) = -28*y**2 + 252*y + 8. Let z be a(9). Calculate the highest common factor of i and z.
8
Let n be (19/38)/((-1)/(-4)). Suppose 0 = 4*x - n*t - 62, -8 = 5*t - 33. What is the greatest common factor of 6 and x?
6
Let x = -4 + 9. Suppose 2 = x*m + 22. Let y be 70 + -8*2/m. What is the highest common divisor of y and 37?
37
Let u be 12474/165 - (-4)/10. What is the greatest common divisor of 133 and u?
19
Let w = -61 - -69. What is the highest common divisor of 544 and w?
8
Let b = -44 + 51. Let t(i) = 6*i - 17. Let w be t(b). What is the highest common divisor of w and 175?
25
Suppose x = -4*s + 255, 4*x = -33 + 45. What is the highest common factor of s and 105?
21
Let r(d) = 2*d**2 - d - 2. Suppose 10 = 4*z + 2. Suppose -2*t - 10 = z*w, 4*t - 2*w = -w. Let b be r(t). Calculate the greatest common factor of b and 11.
1
Suppose 0 = 4*s + 180 - 760. Let w(y) = -y**3 - 7*y**2 + 10*y - 14. Let f be w(-9). Calculate the highest common divisor of s and f.
29
Let p = -53 + 40. Suppose -3*v + 100 = v. Let a = v + p. Calculate the highest common divisor of 4 and a.
4
Suppose -5*w = 5*m - 55, -4*w + 3*m + 10 = 1. What i