 x + 461. Suppose -3*i - x = -13. Let c = 24 - i. Calculate the highest common divisor of c and 24.
24
Suppose 3*u = -0*u + 3. Let b be (2 - u)/((-1)/(-8)). Calculate the highest common divisor of 32 and b.
8
Suppose 5*p - 286 = -4*k, 4*k + 698*p - 250 = 699*p. Suppose 4*w - 27 - 5 = 0. What is the highest common divisor of w and k?
8
Let m = -9 - -11. Let f = 4 - m. Suppose 0 = n + 4, -n + 240 = f*h + 3*n. What is the highest common divisor of 16 and h?
16
Suppose -3*h - 5 = -53. Suppose -51*q + 55*q = 8. Calculate the highest common factor of q and h.
2
Suppose -116 = 11*s - 798. What is the highest common factor of 310 and s?
62
Suppose 19 = 17*p + 2. Calculate the greatest common factor of p and 16.
1
Let z(f) = f**3 - 23*f**2 - 1. Let l be z(23). Let v(r) = -r**2 - 3*r. Let t be v(l). What is the highest common divisor of 10 and t?
2
Let v be (-13 + 1)*(-1)/2. Let s(r) = 2*r. Let w be s(v). Let b = -184 - -188. What is the greatest common divisor of w and b?
4
Let v = -20 + 20. Suppose 3 = l + 5*c, l - c - 2 - 7 = v. Let j = 12 - l. What is the greatest common divisor of 2 and j?
2
Suppose 4*w = -3*d + 47, -4*w + 5*w - 5 = 0. Let h = -2 + d. Let c = h - -2. What is the greatest common factor of c and 99?
9
Suppose 6687 = 39*d + 1695. Calculate the highest common factor of 16 and d.
16
Suppose -5*y + 44 + 86 = 0. Let r(v) be the first derivative of -7*v**2/2 - 15*v - 18. Let c be r(-4). What is the highest common factor of c and y?
13
Let q(z) = 3*z**2 + 39*z - 80. Let j be q(2). What is the highest common factor of 1210 and j?
10
Let o(i) = 4*i**2 + 3*i - 1. Let a be o(1). Let v be (-224)/4*a/(-7). Calculate the greatest common divisor of v and 12.
12
Let l = -56 + 62. Suppose 8*c - 118 + l = 0. What is the greatest common factor of c and 14?
14
Let o = 2928 - 976. What is the greatest common factor of o and 61?
61
Let n be 6804/52 + 6/39. Let z = n + -107. Calculate the highest common divisor of 60 and z.
12
Let z be (1/(-2))/((-5 + 1)/224). What is the greatest common factor of z and 77?
7
Let g = -14 - -46. Calculate the highest common factor of g and 8.
8
Suppose 0 = 146*g - 131*g - 2880. What is the greatest common factor of g and 448?
64
Suppose 2*r - 20 = -v, 12 = 5*r + v - 32. What is the highest common factor of 36 and r?
4
Let b(d) = d**3 - 23*d**2 - 2*d + 61. Let k be b(23). Let w be 165/4*4/1. Calculate the greatest common factor of k and w.
15
Let j(p) be the second derivative of 0*p**2 + 2*p + 1/6*p**3 + 1/12*p**4 + 0. Let x be j(6). Calculate the greatest common divisor of 6 and x.
6
Suppose -4*j = j. Suppose j*b = b - 14. Suppose -3*k - 4*v = -91, b - 4 = -5*v. What is the greatest common factor of 11 and k?
11
Suppose 8*j + 1 = 9*j, 156 = 4*w + 4*j. Calculate the highest common factor of w and 950.
38
Let z(c) = 186*c**2 - 5*c + 7. Let j be z(2). What is the highest common divisor of 57 and j?
57
Let f be ((-3444)/(-112))/((-6)/(-8))*1. Calculate the greatest common factor of 2009 and f.
41
Let g = 1298 + -685. Suppose 0 = 4*s + 2*f - 1503 + g, -4*f + 1111 = 5*s. Let l be 2/3 + s/3. What is the greatest common factor of 30 and l?
15
Let w(l) = -1. Let s(h) = -h + 17. Let f be 4 - 1 - (5 + -3). Let c(u) = f*s(u) - 3*w(u). Let j be c(0). What is the highest common factor of 2 and j?
2
Let d(a) = -a - 1. Let z be d(-4). Suppose 5*x + y + 0*y = 110, z*y - 88 = -4*x. Suppose 2*g + x - 118 = 0. What is the highest common factor of g and 6?
6
Suppose 533*p = 535*p - 24. Calculate the greatest common factor of p and 84.
12
Let i = 782 - 770. What is the highest common divisor of i and 486?
6
Let h = -1 - -4. Suppose 6*r - 9*r - u = -20, 0 = -h*r - 3*u + 24. What is the greatest common factor of r and 18?
6
Let s be 2/6 + (-196)/(-6). Suppose 0 = -3*p + 3. Let h be p*14 + (-6 - (5 - 8)). Calculate the highest common factor of s and h.
11
Let h(o) = 4*o - 68. Let r be h(-16). Let a be (1/(-3) + -1)*-3. Let p be 0 - -3 - r/a. What is the greatest common divisor of p and 54?
18
Suppose 329 = -26*j + 1525. Calculate the highest common divisor of 1288 and j.
46
Let d(g) be the first derivative of 5*g**3 - 3*g**2 + 12*g - 20. Let l be d(3). Calculate the greatest common factor of l and 43.
43
Let y be ((-8)/10)/((-1)/5). Let a be (1260/(-189))/(2/(-3)). What is the highest common divisor of a and y?
2
Suppose -4*l - 3*y + 27 = 0, 0 = l - 0*y + 2*y - 13. What is the greatest common factor of l and 12?
3
Suppose -4*y - 3*m = -0*m - 122, -2*y - m = -62. Let s = y - -8. Calculate the greatest common factor of s and 5.
5
Suppose 2*f - 2549 = -3*k, -43*k = -45*k + 3*f + 1682. What is the highest common factor of k and 22?
11
Let h(o) = 2*o**3 + 35*o**2 - 17*o + 13. Let i be h(-18). Let r = 20 + i. Calculate the greatest common divisor of 120 and r.
15
Let i = -28 + 28. Suppose -4 = -4*w - i, r + 3*w = 603. Suppose -o = 5*t - 142, -r = -0*o - 5*o - 3*t. Calculate the highest common factor of 78 and o.
39
Let m = -4912 - -4936. Let b = 416 - 152. What is the greatest common factor of m and b?
24
Let c(l) = 2*l - 7. Let o(r) = -r + 3. Let n(b) = -6*c(b) - 15*o(b). Let z be n(3). Calculate the greatest common divisor of 24 and z.
6
Let s(d) = -26*d**3 + 3*d**2 + 1. Let f be s(-2). Calculate the highest common factor of 17 and f.
17
Let m = 112 + -82. What is the greatest common factor of m and 80?
10
Let f = -803 + 482. Let u = f - -521. Calculate the greatest common factor of u and 25.
25
Suppose 59 = 2*y - 7. Let p be (-6)/10 - 333/(-5). What is the greatest common factor of p and y?
33
Let r be (1/(5/(-2016)))/((-1)/5). Calculate the highest common factor of r and 21.
21
Suppose 4*d - d + j - 46 = 0, 3*d = -3*j + 54. Calculate the greatest common factor of 56 and d.
14
Let m(p) = -2*p**2 + 2*p + 3. Let t(i) = -i**2 - 1. Let w(k) = m(k) - 3*t(k). Let h be w(4). Calculate the highest common divisor of h and 6.
6
Let c be (-14)/(-2)*6/21. Suppose 0 = c*j - 8 - 22. Let f = j - 11. What is the highest common divisor of f and 10?
2
Let s(u) = u**3 - 5*u**2 + 2*u - 3. Let y be s(6). Let o be (-392)/(-22) - (-34)/187. Calculate the greatest common factor of y and o.
9
Let b = 2151 + -1899. Calculate the highest common factor of b and 532.
28
Suppose -4*r = q, q = 4*r - 0*q. Suppose r = 4*n - 399 + 91. Calculate the highest common factor of 22 and n.
11
Let h = 15 - 30. Let q = -1 - h. Calculate the greatest common factor of 56 and q.
14
Let d be (1 - (-2)/2) + 10. Let a be 208/34 - 238/2023. Calculate the greatest common factor of d and a.
6
Suppose 4*i - 13 = 91. Let q be (-2)/11 + i/22. Let m = q - -9. Calculate the greatest common factor of m and 20.
10
Suppose i = 5, 5*c + 5*i = 9 - 4. Let r be (16 + -6)*14/c. Let d = r - -83. What is the greatest common divisor of d and 16?
16
Suppose 3*x + 12 = 0, -104 = -2*c - 3*x - 12. What is the greatest common factor of c and 78?
26
Suppose -y + 1068 = 3*y - 4*x, -3*y + x = -807. What is the greatest common divisor of y and 30?
30
Let k = 1095 + -834. What is the greatest common factor of k and 27?
9
Let z be -81*(-3 + 1 + 1). Let h be 16/(-12)*z/(-2). Suppose -3*i - 150 = -4*s, 5*i - 127 = -5*s + 43. What is the greatest common factor of s and h?
18
Suppose 2*b + b - 18 = 0. Suppose -1577*y = -1590*y + 1482. Calculate the highest common divisor of b and y.
6
Let c be 0/13 + 8/2. Suppose w - 4 = c. Suppose 0 = w*q - 6*q - 10. Calculate the highest common divisor of q and 35.
5
Suppose 255*y - 235*y - 540 = 0. Calculate the highest common factor of y and 189.
27
Let d = -1 + 5. Suppose 4*r - d*t = 20, r = -4*r - 3*t + 1. What is the greatest common divisor of 18 and r?
2
Let p be (-6132)/56*2/(-3). Calculate the greatest common divisor of p and 1971.
73
Suppose -2*r + 4*r - 90 = -2*m, -12 = 4*m. Calculate the highest common divisor of r and 176.
16
Let a(x) = 3*x - 8. Let k be a(5). Suppose 3*u - 17 - k = 0. What is the greatest common factor of u and 2?
2
Let s(j) = -j**3 - 31*j**2 + 139*j - 16. Let q be s(-35). Suppose -20 = 4*h, -2*k - h + 58 = -13. What is the greatest common divisor of q and k?
19
Suppose 0 = 2*d + 4*r + 20, d - r - 5 = -0. Suppose -6*q + q + 160 = d. Calculate the greatest common factor of q and 48.
16
Let s(t) = -14*t - 37. Let u(r) = -12*r - 36. Let z(g) = 4*s(g) - 5*u(g). Let m