
Let b(r) = r**3 + 6*r**2 + 9*r + 14. Let u(f) = f**3 - 15*f**2 + 12*f + 24. Let m be u(14). Let d be b(m). What is the greatest common divisor of d and 20?
10
Suppose 2*l - 753 = -l. Suppose -2*s + l = 71. Calculate the highest common factor of 30 and s.
30
Suppose 2*a + 0*a = 16. Let k be a - (4 + -1) - (-1 - -1). What is the highest common factor of 40 and k?
5
Let h = -4 + 8. Suppose h*q + 7*y - 127 = 8*y, -2*q = -2*y - 68. What is the highest common divisor of q and 155?
31
Suppose 8 = 4*b - 2*g, 5*b + g = -3*g + 36. Let r be (3/b)/((-3)/(-12)). Let f(c) = 6*c + 27. Let q be f(0). What is the greatest common divisor of r and q?
3
Suppose -17*q + 18 = -16*q. Suppose l - 2*h = q + 10, -3*l + 5*h + 81 = 0. What is the greatest common factor of l and 33?
11
Let p(x) = 6*x - 26. Let l be p(4). Let u be 11*(5*l/(-2) - 0). Calculate the greatest common factor of 22 and u.
11
Suppose -310 = -2*q + 4*l, 10 = -3*l + 1. Suppose 258 = -5*f + 4*z - 7*z, 0 = 3*f - 4*z + q. Let p = f + 107. Calculate the highest common factor of 14 and p.
14
Let u(v) = v**2 - 77*v + 1479. Let y be u(48). What is the highest common divisor of y and 348?
87
Suppose -132 - 123 = -3*m. Let h = 4 - 3. Let f be 2 - 4/h - -36. What is the greatest common factor of m and f?
17
Let a be 12 - (5 + -5)/4. Suppose 132 = w + 2*g, 3*g + 264 = 3*w - w. Calculate the greatest common factor of w and a.
12
Let c(n) = -n**3 + 6*n**2 + n + 3. Let p be c(6). Let i = 13 + -4. Calculate the greatest common factor of p and i.
9
Suppose 0 = 2*i - 20 + 60. Let p be (i/2)/(3/(-3)). Let s be 90/21*(-336)/(-36). Calculate the highest common factor of s and p.
10
Let s = -301 + 436. Let d = -55 + s. Let z(t) = 2*t**2 - 15*t - 28. Let q be z(-2). What is the greatest common divisor of d and q?
10
Let j(w) = 4*w**2 + 2*w + 1. Let p be j(-3). Let q = 42 - p. Suppose 2*k + q - 27 = 0. Calculate the greatest common divisor of k and 8.
8
Let u(y) = 7*y**2 + 11*y + 45. Let o be u(-8). Calculate the highest common factor of 324 and o.
81
Let l = -646 + 781. Calculate the greatest common divisor of l and 5.
5
Let f(y) = -2*y**3 + 26*y**2 - 19*y - 30. Let o be f(12). What is the greatest common factor of 480 and o?
30
Let d(n) = n + 5. Let u be d(-6). Let f be (-1 - u)/((-2)/2). Suppose 11 = b - 3*r, -b - 4*r = -f - 18. Calculate the highest common factor of b and 14.
14
Let j(i) = -2*i**2 - 5*i. Let c be j(-2). What is the greatest common divisor of 21 and c?
1
Let a be (-1)/((-26)/8 + 3). Suppose -a*k = -0*k - 60. What is the highest common divisor of 20 and k?
5
Let i be 2066/(-6) - (-17)/51. Let t = -186 - i. Suppose -4*l = 4*n - t + 22, -4*n + 138 = 3*l. Calculate the greatest common factor of n and 9.
9
Suppose 4*p - 376 - 399 = -5*i, 584 = 3*p + i. What is the highest common factor of p and 117?
39
Let j = 89 + 1183. What is the greatest common divisor of 106 and j?
106
Let m = -355 + 461. What is the greatest common factor of 424 and m?
106
Suppose -220 = -13*x - 7*x. Suppose -63 + x = -4*i. Calculate the greatest common divisor of 78 and i.
13
Let u = 1595 - 66. What is the highest common factor of 11 and u?
11
Let c = 92 - 65. Suppose 2*y = -z - 10 + c, 3*z - 40 = -5*y. Calculate the highest common factor of 1 and y.
1
Let v = 74 + -63. Let a(q) = -2*q**2 + 4*q - 2. Let u(w) = w**2. Let j(r) = -a(r) + 5*u(r). Let d be j(2). What is the highest common divisor of v and d?
11
Suppose 4*w = 37 + 51. Let y = 127 + -75. Let t = 54 - y. Calculate the highest common factor of w and t.
2
Let w = 17 - -36. Suppose 496 = 10*b - 564. What is the greatest common factor of b and w?
53
Suppose 20*d + 150 = 530. What is the highest common factor of d and 95?
19
Suppose 4*d - 1533 = -389. Let r be (1 - 5)/((-44)/d). What is the greatest common factor of r and 65?
13
Let x = 1004 + -977. Calculate the highest common factor of 1593 and x.
27
Let j be (-1)/((-15)/35)*3. Let p(i) = i**2 + 5*i - 8. Let t be p(j). What is the greatest common divisor of t and 57?
19
Let h = 18 - 35. Let w = h + 29. Let r = 19 + 65. Calculate the greatest common factor of w and r.
12
Let f(u) = -3*u**3 - 4*u**3 - 4 + 4*u**3 - 2*u**2 - 3*u + 4*u**3. Let s be f(5). Calculate the greatest common divisor of 8 and s.
8
Let n = 237 - 177. What is the highest common divisor of 420 and n?
60
Let i be (-116 - -115)/(2/(-62)). Calculate the greatest common factor of 1829 and i.
31
Suppose -3*t + 0*t = 2*w - 103, 0 = -4*w - 4. Suppose -5*g + 23 = -2*h, 3*h + 5*g = -7 + t. Calculate the greatest common divisor of 1 and h.
1
Let y = -27 - -49. Let x(q) = -q**3 + 11*q**2 - 11*q + 13. Let w be x(10). Let k(c) = 9*c + 6. Let g be k(w). Calculate the greatest common divisor of y and g.
11
Let v = -359 + 373. What is the highest common divisor of 322 and v?
14
Let y = -2 + 18. Let h be -3 + 2/(-8) + 618/(-24). Let g = h - -45. Calculate the highest common factor of y and g.
16
Suppose -s + 100 = -500. Suppose 29*y - s = 26*y. What is the highest common divisor of 20 and y?
20
Let z(k) = -k**2 - 7*k - 7. Let m be z(-5). Let x(d) = d**2 + 5*d + 2. Let u be x(m). Suppose 5*n - 476 = -u. Calculate the greatest common divisor of n and 18.
18
Suppose 0 = 3*z + 5*p - 47, 2*p = -0*p + 2. Let g = z - 11. Let s be (g + 2 + -4)*18. What is the greatest common factor of 12 and s?
6
Suppose 0*o + 2*o = u - 220, 828 = 4*u + 5*o. Calculate the greatest common factor of u and 4.
4
Let d(h) = -3*h + 2. Let m be d(0). Suppose 3*i = -m*i + 20. What is the greatest common divisor of i and 4?
4
Let n = 28 + -30. Let k be ((-9)/18)/(n/8). Suppose 2*t + 11 = 5*q, -4*q + k*t - 3 + 11 = 0. Calculate the highest common divisor of q and 33.
3
Let g = -4 + 12. Let r be (3/(-2))/(9/48). Let q be r/(-14) + (-276)/(-7). Calculate the highest common divisor of q and g.
8
Let a = 18 - 62. Let k be (4/1)/(-8)*a. Suppose -4*p + 6*p = 4*q - 12, -3*p + 2 = -q. Calculate the greatest common divisor of p and k.
2
Let s be (-2 - 0/(3 + -5))*-28. Calculate the highest common factor of 8 and s.
8
Suppose 5*j - 1390 = 5*z, 5*j - 1345 = -5*z + z. What is the highest common factor of j and 364?
91
Suppose -1594*v + 1593*v + 240 = 0. What is the highest common divisor of v and 640?
80
Let k(m) = -56*m - 279. Let z be k(-5). Calculate the highest common divisor of z and 33.
1
Suppose 3*d - 4*d = -156. Let p = 900 - 888. Calculate the highest common factor of d and p.
12
Suppose 5*q + 4*o - 738 = 0, 2*q + 3*o - o = 294. Suppose q - 946 = x. Let z be x/(-20) - 3/(-15). Calculate the greatest common factor of z and 8.
8
Let l = -5 + 7. Let i be 2/5*55/l. Let u(s) = 17*s**2 - 2. Let b be u(-2). What is the highest common divisor of b and i?
11
Let s = -204 - -260. Calculate the highest common divisor of 616 and s.
56
Suppose -3*o + 0*o - 4*j = -100, 155 = 5*o - 5*j. Calculate the highest common factor of o and 296.
8
Let k be 3/2*94*(-4)/(-12). What is the greatest common divisor of k and 517?
47
Suppose 4*b = 5*b - 190. Let z = 442 - b. Let i be (84/(-24))/((-2)/16). Calculate the highest common factor of z and i.
28
Suppose -176 = -i - 4*h, -5*h + h = -2*i + 400. Let n = 32 + -20. What is the greatest common factor of n and i?
12
Suppose -4*c = 3*y - 386, 5*y + 82 = c - 3. Calculate the highest common factor of 57 and c.
19
Suppose -6 - 26 = -16*x. Suppose -3*t + 80 = x*m, 2*m - 108 = -5*t + 5*m. Calculate the highest common factor of 18 and t.
6
Let w(a) = 2*a**2 + 13*a - 10. Let f(i) = -i**2 - i. Let n(r) = -6*f(r) - 2*w(r). Let y be n(10). What is the greatest common divisor of 8 and y?
4
Let j = -14 + 17. Suppose -19 = -j*g - 7. Suppose 3*m = -g*q + m + 80, 59 = 3*q + m. Calculate the greatest common factor of 19 and q.
19
Suppose 9*n = 610 + 83. Calculate the highest common divisor of n and 176.
11
Let r be (-2)/4 - (-42)/4. Let i(k) = 3*k - 1. Let v be i(r). Let p = v + -7. What is the greatest common divisor of p and 11?
11
Let z(b) = 13*b - 31. Let o be z(4). What is the greatest common divisor of 3 and o?
3
Suppose 3*g + 4*z - 16 = 0, -8*z = -5*g - 10*z + 50. What is the highest common factor of g and 15?
3
Let d(u) = u**3 - 4*u**2 - 2*u + 3. Let o be d(4). Let p be 6580/50 + (-2)/o. What is the greatest common divisor of p and 12?
12
Let j = -16 - -18. Let q = j - -1. Let a be 2 - q*(2 - 3).