6
Let i be (32 + -34)*(0 + -8). What is the highest common factor of 512 and i?
16
Let l(t) = -t**2 - 4*t + 6. Let v be l(-5). Suppose v + 3 = -y. Let o = 11 - y. Calculate the highest common factor of o and 135.
15
Let y(n) = -n**3 + 2*n**2 - 4*n + 536. Let a be y(0). What is the highest common factor of 8 and a?
8
Let u(y) = -33*y + 627. Let i be u(11). What is the greatest common factor of i and 594?
66
Suppose -3*a + 1437 = -720. Suppose v - a = -206. Let k be (v/12)/(4/16). Calculate the highest common divisor of k and 19.
19
Let v(m) = -5*m**3 + 7*m**2 - m - 20. Let g be v(-4). What is the greatest common divisor of 156 and g?
52
Let o(i) = -13*i - 112. Let l be o(-32). Suppose 0 = -5*d + 2*q + 198, -8*d + 3*d + 5*q = -210. Calculate the greatest common factor of d and l.
38
Let h(f) = 4*f**2 + 34*f - 34. Let y(g) = 3*g**2 + 33*g - 35. Let b(k) = -4*h(k) + 5*y(k). Let s be b(26). Calculate the highest common divisor of s and 13.
13
Suppose 2*s - 2*r = 222, -8*r + 3*r + 201 = 2*s. Calculate the highest common divisor of s and 12.
12
Let f be (2184/140)/(3*2/15). Let i = 2 + 1. Calculate the highest common factor of f and i.
3
Suppose -5*a = -2*y + 83 + 21, -5*y = 2*a - 289. Let l = 93 - y. What is the greatest common factor of l and 9?
9
Let n be 1*3*(-34)/(-3). Let a = 594 + -509. Calculate the highest common factor of n and a.
17
Let f be (4 + 2)*2 + -2. Suppose 5 = -5*a, 3*b + b - 5*a = 29. Suppose -n = -b - 4. Calculate the greatest common divisor of n and f.
10
Suppose -1875 = -4*g + x, -7*x + 1871 = 4*g - 12*x. What is the greatest common divisor of 67 and g?
67
Suppose -219 - 1596 = -3*f. Calculate the highest common factor of 55 and f.
55
Suppose 3*g = -3*q + 60, -4*q + 16 = -3*g - 50. Suppose -232 - 848 = -12*o. What is the highest common divisor of q and o?
18
Let x be 0 + 1305/24 - (-12)/(-32). Calculate the highest common factor of 108 and x.
54
Suppose -2*j - 5 = -3*j + 3*q, -4*q = 4*j - 68. Let f = j + -13. Calculate the highest common divisor of 2 and f.
1
Let g(v) = v**3 + 8*v**2 - 11*v - 20. Let p be g(-8). Suppose 12 + p = 2*u. What is the highest common factor of u and 10?
10
Suppose 2*p - 2 = -10, p - 336 = -5*b. Calculate the highest common factor of b and 8.
4
Let o be (-28)/49 - (-6)/(-14). Let q be (o + 1)*(-11 + 12). Let y(k) = k**3 + k**2 + k + 11. Let n be y(q). Calculate the highest common factor of 88 and n.
11
Let u(a) be the third derivative of a**5/30 - 5*a**4/12 + 8*a**3/3 - 5*a**2. Let q be u(7). Suppose -q = -c - c. What is the highest common factor of 33 and c?
11
Suppose -3*p - 92 = -4*y - 7, -2*y + 47 = 3*p. Let n(i) = 3*i - 62. Let d be n(y). Calculate the greatest common divisor of 4 and d.
4
Let t = -105 - -114. Let d be ((-1)/(4/6))/(2/(-4)). What is the greatest common divisor of d and t?
3
Let i = -75 + 115. Suppose -2*d = 4*b - 14, -2*d - 18 = -5*b - 4*d. What is the highest common divisor of i and b?
4
Let p = 33 + -20. Suppose -p + 69 = 4*i + 2*f, 4*i = -4*f + 52. What is the highest common divisor of i and 15?
15
Let a be (-2)/7 + (6834/(-42) - -6). Let b be a/4*-1 + 6/8. What is the highest common divisor of b and 10?
10
Let c be (-12)/(14*(-5)/20)*14. Calculate the highest common factor of c and 144.
48
Suppose 5*c = -3*h - 1, 2*h = 2*c - c + 8. Let t be (-40)/c*(-3 - -4). Suppose 397 = -7*k + 1657. Calculate the highest common divisor of t and k.
20
Let o = -2 + 4. Suppose -i + 2*v = -29, v + o = 1. What is the highest common divisor of 243 and i?
27
Let b(y) = -7*y + 463. Let m be b(64). Calculate the greatest common divisor of 960 and m.
15
Let t be (-16)/(-12)*33/2. Let y(z) = z**2 - 2*z - 8. Let a be y(9). What is the greatest common divisor of t and a?
11
Suppose 3*b = 109 + 107. Let l = b - 35. Suppose 3*j - 459 = -3*y - y, 2*y - 237 = -3*j. What is the greatest common factor of y and l?
37
Let w(p) = 24*p - 69. Let h be w(7). What is the greatest common factor of h and 27?
9
Let z(t) = t**2 + 15*t + 116. Let v be z(-5). Calculate the highest common divisor of 30 and v.
6
Let h be (-3 + -2)*56/10. Let s be h/49 + 130/7. Let n = s - 3. What is the highest common divisor of 6 and n?
3
Suppose -3*k + 450 = -72. What is the highest common divisor of 12 and k?
6
Let y(n) = -n**2 - 12*n - 4. Let i be y(-11). Suppose 0 = j + 3*h - 63 - i, -2*h = 4*j - 280. Calculate the highest common factor of j and 20.
10
Let h(q) = q**2 + 6*q + 3. Let k be h(-5). Let w be (23/k)/(2/(-4)). Let s = -23 + 69. What is the highest common factor of s and w?
23
Let n be 827/5 - (-19)/(380/(-8)). What is the highest common factor of n and 33?
33
Let y be (-1429)/(-4) - (-330)/120. What is the highest common factor of y and 520?
40
Suppose 4*l = 367 + 857. What is the highest common divisor of l and 2?
2
Let y = 1 + -4. Let t(p) = -14*p + 7. Let q(f) = 7*f - 4. Let o(s) = 5*q(s) + 3*t(s). Let i be o(y). What is the greatest common divisor of 55 and i?
11
Let x(y) = 12*y + 47. Let l(m) = 6*m + 23. Let c(a) = 5*l(a) - 3*x(a). Let u be c(-11). What is the highest common factor of u and 16?
8
Suppose x - 4*q - 516 = 3*x, -4*q + 20 = 0. Let a = x + 421. Calculate the greatest common factor of 17 and a.
17
Suppose 6*s = 704 + 676. Calculate the greatest common factor of s and 10.
10
Let u be 33 - (3 + -1 + -4). Suppose 0 = o + u - 37. Let p(x) = x + 2. Let n be p(0). What is the highest common divisor of n and o?
2
Suppose 12*d - 14544 - 14256 = 0. Calculate the highest common divisor of 12 and d.
12
Suppose 45*p = 40*p + 510. What is the greatest common divisor of 6 and p?
6
Suppose 2*y - 5*y = -12. Suppose -5*f + 256 = 4*b - 509, 4*b - 756 = y*f. Calculate the greatest common divisor of 76 and b.
38
Suppose 25*o = 27*o + 152. Let x = 100 + o. What is the highest common factor of x and 264?
24
Suppose 3*a = -z - 6, -4*z + a = -11*z + 18. What is the highest common factor of 96 and z?
3
Let a(r) = 2*r**2 - 10*r + 15. Let v(n) = -3*n**2 + 19*n - 31. Let c(o) = 5*a(o) + 3*v(o). Let h be c(7). Calculate the greatest common factor of 10 and h.
10
Let x(g) = 12*g + 1. Let k be x(1). Suppose -9 = d - k. What is the greatest common divisor of d and 8?
4
Let q = -208 - -347. Suppose j + 5*r - 100 = -26, -4*j + 4*r + 272 = 0. Let u = q - j. Calculate the highest common divisor of u and 28.
14
Let s be (2/(-4))/(-1)*60. Let n = -30 + 19. Let v(f) = f**3 + 12*f**2 + 10*f + 1. Let j be v(n). Calculate the highest common divisor of s and j.
6
Suppose 0 = -25*x + 47*x - 176. What is the highest common factor of 1816 and x?
8
Let s be -11 - -6 - 37*-9. What is the greatest common divisor of s and 369?
41
Let j(v) = -2*v**2 + 15*v + 3. Suppose -2*x + 6 + 4 = 0. Let u be j(x). What is the highest common divisor of u and 42?
14
Let l(t) = -9*t**2 + t - 11. Let i(c) = -13*c**2 + 2*c - 17. Let r(d) = 5*i(d) - 8*l(d). Let a be r(-2). Calculate the highest common factor of 81 and a.
27
Suppose -32*y - 145 = -1041. Calculate the greatest common divisor of 49 and y.
7
Suppose -234*w + 236*w = 140. Calculate the greatest common divisor of w and 10.
10
Let g be (-288)/120*(-200)/3. What is the greatest common factor of 5 and g?
5
Suppose -31*x = -28*x - 141. What is the greatest common divisor of x and 141?
47
Let m(n) = -n**2 - 9*n - 11. Let o be m(-9). Let d(x) = -x**3 - 10*x**2 + 9*x. Let j be d(o). What is the highest common factor of 66 and j?
22
Let z(o) = 2*o**2 + 24*o - 370. Let c be z(-29). What is the highest common factor of c and 88?
88
Let a = -71 - -73. Let r be (-6)/a*(176/6)/(-1). What is the greatest common divisor of 11 and r?
11
Let j be (4/(-8))/((38/(-22540))/19). Calculate the greatest common factor of 49 and j.
49
Let x be 11 + -8 + 16/4. Let f(k) = -5*k - 25. Let i be f(-12). Calculate the greatest common factor of x and i.
7
Suppose 0*y + 42 = 3*y. Let d be (-427)/(-5) + y/(-35). What is the greatest common divisor of 17 and d?
17
Suppose 5*j - 2*r - 345 = -73, -3*r - 44 = -j. Calculate the greatest common factor of j and 126.
14
Suppose -k + 0*k + 40 = 0. Let y = 10 - 5. What is the greatest common factor of k and y?
5
Let f = 37 + -22. Let g be (-4)/(-14) - (-17)/((-238)/(-9208)). Suppose -4*m + g = q - 4, -m + 2*q + 161 = 0. Calculate the greatest common factor of f and m.
15
Suppose 0 = -i - 4*n + 130, -2*i - 