
Let c be -45*1*(-14 + 13). Let n = -477 - -513. What is the greatest common factor of c and n?
9
Let u be (-13)/(8/(32/4))*-1. What is the highest common divisor of 871 and u?
13
Let g(x) = 15*x + 35. Let r be g(7). Suppose -18*b = -25*b + r. What is the highest common factor of b and 70?
10
Suppose 9*j - 128 = -7*j. Calculate the highest common divisor of 8 and j.
8
Let l be 4*(-3)/(-1) + (-29 - -27). Let f(i) = 2*i - 12. Let r be f(l). Calculate the greatest common divisor of 8 and r.
8
Let o(s) = s**2 - 15*s + 62. Let k be o(5). Calculate the greatest common divisor of k and 88.
4
Suppose 13 = -3*p + 46. Let g = -3 - -4. What is the highest common factor of g and p?
1
Let b = -96 + 147. Let s = b + -34. What is the highest common factor of 34 and s?
17
Let t = -34 + 142. Let h be 1/(-4) + (-1526)/(-56). What is the greatest common divisor of h and t?
27
Let g = 845 - 572. What is the highest common factor of 65 and g?
13
Let t = 24 - 4. Let w = 30 - t. Let j be 1 - (-6)/(-4)*-26. Calculate the highest common factor of w and j.
10
Let o(k) = 57*k + 3. Let j be o(-2). Let w = -75 - j. What is the highest common factor of w and 9?
9
Suppose -20*t + 72 = -18*t. Let p be t - (-4 + 8/1). Calculate the highest common divisor of p and 8.
8
Suppose 2*f = 2*z - 496, 35*z = 30*z + f + 1232. What is the highest common divisor of z and 410?
82
Suppose -4*u - 6 = -7*u. Let w(s) = -s + s**u - 10 + 10. Let a be w(-4). Calculate the highest common divisor of a and 4.
4
Suppose 3*z + 0 - 28 = l, -z - 60 = 5*l. Let j = l + 13. Suppose -5 = 4*c + 5*g - 62, -4*c + 2*g + 50 = j. Calculate the highest common factor of 52 and c.
13
Let k be 7/(-35) + (-41)/(-5). Let q(y) = -2*y + 11. Let a be q(k). Let r be a/15 + 55/3. What is the highest common divisor of r and 36?
18
Suppose -s - 5*f + 104 = 2*s, 0 = -2*f + 8. Suppose -s = -b - b. What is the highest common divisor of 112 and b?
14
Suppose 5*p - 29 = 2*z - 10, 0 = -4*p + z + 14. Let g be 4/(-2) - 0 - -7. Suppose g*b - 10 = -5. Calculate the highest common factor of p and b.
1
Let n be (22 + -20)/((-21)/(-6) + -3 + 0). Suppose 4*h = -3*z + 38, -h - 5*z = -3*h + 6. What is the highest common factor of n and h?
4
Let r = 260 + -232. What is the greatest common divisor of r and 154?
14
Let j = -11 + 20. Suppose 0 = 2*m + 2, 0 = -r + 2*m - m + 61. Let v = -15 + r. Calculate the highest common factor of j and v.
9
Suppose -42*s - 1063 + 4843 = 0. Let b(r) = -r**2 - 7*r - 2. Let f be b(-4). What is the highest common factor of s and f?
10
Let d(r) = r**2 + 4*r + 4. Let g be d(-6). Let t(y) = -7*y - 19. Let l be t(-5). Calculate the greatest common factor of l and g.
16
Let q(f) = f**3 + 24*f + 637. Let k be q(0). What is the greatest common factor of k and 147?
49
Let n = -84 + 98. What is the highest common factor of n and 112?
14
Suppose -6*c + 258 + 522 = 0. Calculate the greatest common divisor of 50 and c.
10
Let q(r) = r**2 - 2*r - 3. Let s be q(-6). Let k = -62 + 71. Calculate the greatest common divisor of k and s.
9
Let g(i) = 306*i - 3. Suppose 2*z - 19 = -2*z + 5*o, 0 = 3*z - 5*o - 18. Let a be g(z). Suppose -a + 87 = -3*s. Calculate the greatest common factor of 9 and s.
9
Suppose 4*g - s - 16 = 0, -g - s - 19 = -6*g. Suppose -g = -y, 3*h - 4*y - 18 = y. Calculate the greatest common factor of h and 121.
11
Let c(b) = -b**2 - 18*b - 50. Let f be c(-13). What is the highest common factor of 1545 and f?
15
Suppose 647 = 5*l - 5*p - 198, 0 = -5*p - 5. Let y(a) = a**3 + 6*a**2 + 2*a - 3. Let c be y(-4). What is the greatest common divisor of c and l?
21
Suppose -h + 17 + 23 = 0. Suppose 0 = -p - 5*f + 38, -2*p + 3*f - 4*f + h = 0. Calculate the highest common factor of p and 6.
6
Let m(z) = 6*z - 13. Let n(o) = -8*o + 3*o - 2*o + 13. Let d(c) = -5*m(c) - 4*n(c). Let s be d(0). What is the highest common factor of s and 117?
13
Suppose -40*o + 39*o + 88 = 0. Calculate the greatest common divisor of 11 and o.
11
Let v be -1*(19*-329)/7. What is the highest common divisor of v and 19?
19
Suppose 2*i - 7*i + 45 = 0. Let a = 16 + i. Suppose -w + a = -0*w. Calculate the highest common divisor of 10 and w.
5
Let h(a) = a**3 - 5*a**2 - 4*a + 10. Let d be h(6). Suppose 2*t = d + 20. What is the greatest common divisor of t and 147?
21
Let r be ((-81)/36)/((-2)/(-8)). Let s(z) = 3*z**2 + 10*z - 13. Let m be s(r). Let b = 14 - -6. Calculate the greatest common divisor of m and b.
20
Let o(f) be the third derivative of -4*f**4 + f**3/2 - 12*f**2. Let r be o(-1). Calculate the highest common divisor of 9 and r.
9
Let x = 17 - -81. Let g = x + -86. Calculate the highest common divisor of 36 and g.
12
Let i = -105 - -147. What is the highest common divisor of 70 and i?
14
Let a = -34 - -28. Let y be (-32 - 0 - 3)*a. What is the greatest common factor of 30 and y?
30
Let h(s) be the first derivative of 23/2*s**4 + s**2 - s - 4 - 2/3*s**3. Let q be h(1). Calculate the highest common divisor of 18 and q.
9
Let d be 3 - ((0 - 0) + -62). Suppose d*h = 63*h + 14. What is the greatest common divisor of h and 7?
7
Let f = -732 + 741. What is the greatest common divisor of f and 639?
9
Let v(g) = -g**3 - g**2 - 7*g + 1. Let d be v(-3). What is the greatest common divisor of d and 80?
40
Suppose 16345 = 73*a + 4008. What is the highest common divisor of a and 13?
13
Let d(c) = c**3 - 10*c**2 + 4*c + 9. Let g be d(10). Let s = -12 + 19. What is the highest common factor of g and s?
7
Suppose -8*c = -2*r - 12*c + 1800, 4*r = -5*c + 3594. What is the greatest common factor of 56 and r?
56
Suppose -26*s = -30*s + 8. Suppose -2*f - 6 = -s*q - 2, -2 = -q - 2*f. What is the highest common divisor of q and 1?
1
Suppose -388 = -4*q - 4*z, -z = -4*q + 457 - 59. What is the greatest common divisor of q and 44?
11
Let d be 18/(((-32)/(-6))/8). What is the highest common divisor of d and 153?
9
Let r = -1286 + 1405. Let z(q) = q**2 - 5*q + 3. Let d be z(7). What is the greatest common divisor of r and d?
17
Suppose 26 = 5*i + 1, -3*q + 631 = 2*i. Calculate the highest common factor of q and 46.
23
Let j be (27/36)/(1/(-4)). Let b be (-1 - j) + (9 - 9). Let l = -24 - -42. Calculate the greatest common factor of b and l.
2
Let q(x) = -10 + 2*x**2 + 4 - 8*x - 3*x**2. Suppose 0*i - 16 = 4*i. Let a be q(i). What is the highest common divisor of a and 20?
10
Let c = 241 - 176. Calculate the highest common divisor of 5 and c.
5
Let h = -3 + 1. Let w be 1/h*2*-16. Suppose 417 = 7*r - 479. Calculate the greatest common divisor of r and w.
16
Let o = 62 - -382. Let f be 2 + 1/((-4)/o). Let p = 153 + f. What is the greatest common divisor of 4 and p?
4
Let f(v) be the first derivative of v**2 + 44*v + 27. Let g be f(-13). What is the highest common divisor of g and 54?
18
Let t(v) = -2*v**3 - 10*v**2 + 2*v + 44. Let g be t(-5). Calculate the highest common factor of g and 221.
17
Suppose 2*w - 231 = -h, -22*h = 2*w - 20*h - 228. Calculate the highest common divisor of w and 624.
39
Suppose 0 = 3*j - 265 - 83. Calculate the highest common factor of j and 87.
29
Suppose 2*p = -5*h + 6 + 46, -4*h = 4*p - 92. Calculate the highest common factor of p and 357.
21
Suppose -2*o - 760 = -10*o. Let r be (-358)/(-8) - (-2)/8. Let l = r - 26. What is the greatest common divisor of l and o?
19
Suppose 0 = 21*k + 17 - 185. Suppose 5*i - 2*i = 5*s - 332, -5*i = 2*s - 108. Calculate the greatest common factor of s and k.
8
Let c be ((-2)/(-2))/(1/3). Suppose -o - 85*m + 90*m = 2, -o + 6 = 3*m. What is the highest common factor of c and o?
3
Let c(z) = z**2 - z + 272. Let h be c(-15). What is the highest common divisor of 16 and h?
16
Suppose -6*o = -3*o - 15. Let r be 10/40 + 14/8. Suppose 0 = -4*c - 4*l + 32, -2*l = -4*c + r*l + 8. What is the greatest common factor of o and c?
5
Suppose 20*n - 122 = -22. Calculate the highest common divisor of 20 and n.
5
Suppose 22*c - 164 = 122. What is the greatest common factor of c and 208?
13
Let g(n) = -27*n + 2. Let a = -24 - -22. Let m be g(a). Calculate the highest common divisor of 7 and m.
7
Let s(q) = q**3 - 4*q**2 + 2*q - 4. Let j be s(6). Suppose 7*z - j = -3. Suppose -5*d + 2 + 218 = 0. What is the highest common divisor of z and d?
11
Let s(p) = p + 4. Let v be s(-4). Suppose 4*c + 0*c - 1080 = v. Suppose c = -d + 4