j = 0 - -1. What is the greatest common factor of i and j?
1
Let d(v) = 0*v + 5*v - v**2 + 6*v + 2*v + 10. Let z be d(10). What is the greatest common factor of 16 and z?
8
Suppose 2*u - 5*u = 24. Let q(r) = r**2 + 3*r - 1. Let f be q(u). What is the highest common factor of f and 13?
13
Suppose -4*z = -0*z - 752. Suppose 4*m + 7*u - 3*u = z, 0 = 5*m + 3*u - 245. What is the greatest common divisor of m and 78?
26
Let i be ((-8)/6)/(1/(-60)). What is the greatest common divisor of 10 and i?
10
Let p be (42/(-4))/((-12)/64). Let x = 10 - 7. Suppose 4*i - 56 = -x*m - m, 3*i - 3*m = 42. What is the highest common divisor of p and i?
14
Suppose -4*s + 268 = -d, -2*s - d + 140 = -0*d. Suppose 2 = -5*w - s. Let k be (-1)/((w/(-144))/(-7)). Calculate the greatest common factor of k and 9.
9
Suppose -2*l + 8 = -0. Suppose -5 - 3 = -l*s. Suppose -3*n + 3*a + 63 = 2*n, -3*n = -s*a - 38. Calculate the greatest common factor of 60 and n.
12
Let o = -83 + 182. Calculate the highest common divisor of o and 22.
11
Let k(i) = i - 1. Let x(d) = 3*d**2 + 9*d. Let o(w) = -4*k(w) + x(w). Let y be o(-5). What is the greatest common divisor of 36 and y?
18
Let v(z) = z**3 + 6*z**2 + 4*z + 5. Let r be v(-5). Suppose -3*m - 2*m = -10. What is the highest common divisor of r and m?
2
Suppose -3*b = -734 + 74. Calculate the highest common factor of b and 55.
55
Suppose -i = 3*i - 24. Let g = 8 - i. What is the highest common factor of g and 4?
2
Let z be (-3)/2 - (-1)/2. Let s(r) = 60*r**2 - r - 1. Let l be s(z). Calculate the greatest common divisor of 15 and l.
15
Let r = 62 - 46. Calculate the highest common divisor of r and 48.
16
Suppose -2*u = -4*u - o + 7, -3*u + 5*o = -4. Suppose -u*h = -7*h + 136. Calculate the highest common factor of 238 and h.
34
Suppose 9*m - 92 - 43 = 0. What is the greatest common divisor of m and 12?
3
Suppose -3*x = 5*b - 27, 0 = 4*b - b + 2*x - 16. Calculate the highest common divisor of 12 and b.
6
Suppose -5*k = 25, 0*l = -2*l - 2*k - 6. Suppose -45 = -l*n - 3*n. What is the greatest common factor of 45 and n?
9
Let l(n) = n**2 + 2*n + 9. Let s be l(-9). What is the greatest common divisor of 18 and s?
18
Let n = -4 - -6. Suppose -38 = n*y - 4*y. Suppose 2*b + 3 = -3, -b - 402 = -3*x. What is the highest common divisor of x and y?
19
Let x = -7 - -12. Suppose 39 = x*s - 51. Calculate the highest common factor of s and 9.
9
Let x = -31 + 50. Suppose -v + x = -4*j - 10, 0 = -5*v + 3*j + 60. Let q = 31 + -13. Calculate the greatest common factor of q and v.
9
Let a = -24 - -18. Let y(h) = -h**2 - 7*h - 2. Let l be y(a). What is the greatest common factor of l and 2?
2
Suppose 4*m = 5*m + 1, m + 1161 = 5*r. Let s be -2 + 2*31/2. Calculate the highest common factor of s and r.
29
Suppose 0 = 5*j - 3*j + 3*s - 194, -10 = 5*s. Calculate the highest common factor of j and 50.
50
Let g(u) = -4*u - 1. Let b(x) = x**2 + 2*x - 4. Let p be b(-3). Let y be g(p). Suppose -6*j + y*j = -180. What is the highest common divisor of j and 24?
12
Let x(a) = -6*a**2 + 4*a + 7. Let b be x(5). Let q = b - -179. Let l = 1 - -6. What is the greatest common divisor of l and q?
7
Let x = -13 + 13. Let g be (-15 + 2)/(x - 1). Suppose 72 = i + 3*h + 2*h, -4*h = -16. What is the greatest common divisor of g and i?
13
Let u(i) be the third derivative of -i**4/24 + 4*i**3/3 - 4*i**2. Let h be u(-8). Suppose -j + 0*j = -h. Calculate the greatest common divisor of j and 2.
2
Suppose 5*q = -i + 5 + 40, 5*i - 110 = -2*q. Suppose -6 - 24 = -v. Calculate the greatest common divisor of v and i.
10
Suppose 3*d + 2*f - 2 = 0, -d + 2*f = -1 - 5. Let g be (-3)/(d/4*-3). What is the highest common divisor of 14 and g?
2
Suppose 5*v = 4*p - p - 209, 0 = -4*v + 3*p - 169. Let d(r) = -73*r**3 + 2*r + 1. Let g be d(-1). Let u = g + v. What is the highest common divisor of 8 and u?
8
Suppose c = -4*c + 115. Let k = 155 - c. Let f(i) = -i**3 + 5*i**2 - i - 3. Let d be f(3). Calculate the greatest common factor of k and d.
12
Let p = 38 + -25. What is the greatest common factor of 117 and p?
13
Suppose -3*d - 153 = 5*b, -4*b - 2*d - 121 = -d. Let v = b + 52. Let g be (1 + -3)*v/(-4). What is the greatest common divisor of g and 99?
11
Suppose 0 = 3*o - 0*o + s - 123, 0 = -2*s + 6. Calculate the highest common divisor of 16 and o.
8
Suppose -3*b = -2*b - 5. Let a = 477 - 249. Suppose -b*u + a = -u. What is the highest common factor of 19 and u?
19
Suppose 0 = -7*d + 1250 - 326. Calculate the greatest common divisor of 12 and d.
12
Let s = 1773 + -1245. Suppose -d = 3*d - s. Suppose -4*p = -9*p + 60. What is the highest common factor of p and d?
12
Let n(w) be the third derivative of -w**5/60 + 11*w**4/24 + w**3/6 - 5*w**2. Let j be n(8). What is the greatest common factor of 5 and j?
5
Let f be (-3)/((36/231)/(-4)). Let t(m) = -m**3 + 6*m**2 + 7. Suppose -3*w = -5*w + 12. Let v be t(w). What is the highest common factor of f and v?
7
Let g(a) = a**3 - 18*a**2 - 19*a + 13. Let z be g(19). Let p(k) = k**2 - 2*k + 4. Let b be p(7). Calculate the greatest common factor of z and b.
13
Suppose c = -0*c + 63. What is the highest common divisor of 42 and c?
21
Let m(r) = r**3 + 5*r**2 + 4*r + 1. Let p be m(-3). Suppose 0 = 6*h - 3*h + 12, 0 = -5*z - 5*h + 120. Calculate the highest common divisor of z and p.
7
Let m = 11 + 10. Let l = 7 - 4. Calculate the highest common divisor of l and m.
3
Let w(x) = x**3 + 4*x**2 + 3*x. Suppose 8 = -4*l, 2*l = u + 5*l + 8. Let t be w(u). Calculate the highest common factor of t and 2.
2
Let u(m) = -m**3 + 5*m**2 - 2*m - 1. Let g be u(4). Suppose -105 = 4*s + g. Let p be (s/3)/(3/(-36)). What is the greatest common factor of 14 and p?
14
Let p be (120/(-36))/(2/(-18)). What is the highest common divisor of 20 and p?
10
Let f(d) = -d - 16. Let n be f(-11). Let t(l) = 2*l**2 - l - 1. Let c be t(n). Calculate the greatest common factor of 6 and c.
6
Suppose -37 = -2*h - g, -5*g = -3 - 22. Let l be 1/(4/(2 + 14)). Calculate the highest common factor of l and h.
4
Suppose -5*x = -i - 18, -1 = 2*x + 5*i - 19. Suppose d - x*q = 20, -3*d = 5*q + 14 - 40. What is the highest common factor of 108 and d?
12
Suppose q = -3*j + 11, -4*q + 3 = -5. Let a be (6*j)/((-12)/(-8)). What is the highest common factor of 108 and a?
12
Suppose -3*g + 15 = -g - r, -35 = -4*g - 3*r. Let y be (g - 18)/(2/(-3)). What is the greatest common factor of 15 and y?
15
Let t be (-1040)/(-3) - (-2)/(-3). Suppose -2*m + t = -162. Suppose -5*f + m - 74 = 0. Calculate the greatest common factor of 12 and f.
12
Let n be -4 + (-105)/(-25) - (-1349)/5. Calculate the highest common factor of 30 and n.
30
Let y(i) = i**3 - 6*i + 22. Let v be y(3). Calculate the greatest common divisor of v and 124.
31
Let c(b) = -4*b**3 + 2*b**2 + 2*b + 1. Let y be c(-1). Suppose 4*t - y*d - 198 = 0, 3*t + 35 = -3*d + 197. Calculate the greatest common divisor of t and 78.
26
Let r be (-2926)/(-49) - 2/(-7). Let y be (r/(-8))/(3/(-6)). What is the greatest common factor of 120 and y?
15
Suppose -3*f + 52 = 5*d - f, 0 = 5*d + 5*f - 40. Let h(q) = -q**2 - 7*q + 8. Let t be h(-7). What is the highest common factor of d and t?
4
Let y be (-9 + -1)/(2 - 3). Let o be ((-4)/y)/((-1)/15). What is the greatest common divisor of 48 and o?
6
Suppose 3*m = 201 + 15. Suppose 0 = -z - 2*y + 30, z - 2*y - 27 + 9 = 0. Suppose 4*c - z = c. What is the highest common divisor of c and m?
8
Suppose 4*g = 4*u - 36, 0 = u + 5*g - 5 - 4. Let z = u + -7. Calculate the greatest common factor of 20 and z.
2
Suppose -b = 2*d - 37 + 272, -5*b + 2*d - 1211 = 0. Let w = b + 457. Calculate the highest common divisor of w and 24.
24
Let h be (18 + -3)/(3/10). Suppose h + 60 = 5*n. Calculate the highest common divisor of 242 and n.
22
Suppose 3*f + 5 = -2*f. Let q be 33 + (-1)/f + 1. Calculate the greatest common factor of q and 7.
7
Let j be -6 + (-12)/(-3) + 184. What is the greatest common factor of 26 and j?
26
Suppose -x + 4*q - 8 = 0, 3*x + 2*q - 3*q - 31 = 0. Suppose -4*b + 32 = c, -b = 4*c + 2*b - 102. What is the highest common factor of c and x?
12
Let f = 141 - 43. Suppose 0*u + 23 = 2*p + u, p - 19 = u. What is the highest common factor of f and p?
14
Let i be (-8)/(-44) + 53/11. Suppose -3*m + i = -1. Suppose -m*c - 2*n = -n - 89, 2