t q = d - w. What is the highest common divisor of q and 15?
15
Suppose -3*d + 2*h + 34 = 0, 2*d + 22*h = 25*h + 31. Suppose 2*w = 2, -w = 2*v + 9 - 42. What is the greatest common divisor of v and d?
8
Let u be (-7)/((-105)/1570) - 2/(-6). Let i be u - (3 + -1 - 2)/(-2). Calculate the greatest common factor of 21 and i.
21
Suppose 0 = -3*n - 6*j + 2*j + 724, -4 = -j. Let f = n + -81. Suppose 2*w = 3*w - f. What is the highest common factor of w and 31?
31
Suppose -2*n + 0*n = 2*n. Suppose 4*q + 4*w = 68, -2*q + w + 3*w + 22 = n. What is the greatest common divisor of 20 and q?
5
Let f(y) = 3*y**2 + 6*y - 62. Let t be f(-6). Calculate the highest common divisor of t and 75.
5
Suppose -5*u + 2*u - 36 = 0. Let f = u + 22. Suppose -6*w = -34 - 116. What is the greatest common factor of f and w?
5
Let s(g) = -29*g**2. Let r(p) = 29*p**2 + p - 1. Let x(f) = -3*r(f) - 4*s(f). Let m be x(-3). Calculate the highest common factor of 39 and m.
39
Suppose 0*d + d + 5*k = 28, 0 = -3*d - 3*k + 24. Suppose 5*p - 5*h = 60, -p - d*h - h = -2. Calculate the greatest common factor of 15 and p.
5
Let y(q) = -q**2 + 15*q - 27. Let x be y(12). What is the greatest common factor of x and 10?
1
Suppose 2*s - 6 - 12 = 0. Suppose 247*q - 53 = 240*q + 10. Calculate the greatest common divisor of q and s.
9
Let l = 835 - 832. Let m(a) = 18*a - 3. Let f(w) = w**2 - 4*w + 2. Let c be f(4). Let g be m(c). Calculate the highest common divisor of g and l.
3
Let b(h) = -h**3 + h**2 - 2*h - 1. Let g be b(-2). Suppose -5*m + 150 = 4*s, 24*s - 22*s + 5*m = 90. Calculate the highest common factor of g and s.
15
Let v = -451 + 497. Calculate the greatest common factor of 897 and v.
23
Let n = 107 + -90. Let s(y) = -y**3 - 12*y**2 + 9*y - 1. Let o be s(-13). What is the highest common factor of o and n?
17
Suppose 0*t + 17 = t + u, 4*t - 68 = 2*u. What is the highest common divisor of t and 2?
1
Suppose 0 = 3*t + 2*t - 65. Let j(z) = 8*z - 27. Suppose n - 9 = -4. Let k be j(n). What is the highest common divisor of k and t?
13
Let a be 85/(-2)*(-8)/20. Let d = -11 + a. Suppose -d*v = -5*v - 4. Calculate the highest common divisor of v and 16.
4
Let m be (2/(-5))/((-3)/1230*2). Let i = -77 + m. What is the highest common factor of i and 5?
5
Let f = -1339 + 1479. Calculate the greatest common factor of f and 448.
28
Let h be (4/6)/((-70)/(-11550)). Let v be (4/2 - 12)/(-1). Calculate the greatest common divisor of h and v.
10
Suppose 4778 = 10*h + 3028. What is the greatest common divisor of h and 675?
25
Let p = 262 - 132. Calculate the greatest common divisor of p and 10.
10
Let a(k) = 5*k**2 - 2*k - 2. Let f be a(-1). Calculate the highest common divisor of 90 and f.
5
Let n(w) = w - 8. Let f be n(9). Let q be (0 - (-2 - f)) + -5. Let m be q/9 - 670/(-18). Calculate the greatest common factor of m and 37.
37
Let c(s) = -s**2 + 2*s + 2. Let b be c(-1). Let i be (-1 - -3) + (3 - b). Calculate the highest common factor of 12 and i.
6
Suppose -610 = 2*s - 1870. Let b be (s/(-49))/((-6)/28). Suppose 0 = -5*m + 3*x + 292, -m + b = -0*m - x. Calculate the highest common factor of 8 and m.
8
Suppose -5*h = -5*t - 30, -2*h - 3*t = -0*h - 32. Let v = -35 + 45. Suppose 9*c - 8*c = v. What is the greatest common divisor of h and c?
10
Suppose 0 = -4*w - 3*h + 305, -2*w + h + 142 + 23 = 0. Suppose f - 69 = -4*k, -25*k + 20*k + 5*f = -55. Calculate the highest common factor of w and k.
16
Let h = -853 + 1370. Let y(p) = -p**3 - 8*p**2 - 7*p - 9. Let f be y(-8). Calculate the greatest common divisor of f and h.
47
Let t = -13 - -29. Let q be (28/t)/(3/12). Let i(f) = f**2 - 8*f + 9. Let p be i(q). What is the highest common divisor of 8 and p?
2
Suppose q + 120 = 3*q - 3*l, 0 = 3*q + l - 180. Let n(b) = -b**3 + 8*b**2 + 2*b + 4. Let r be n(8). Calculate the highest common divisor of r and q.
20
Let k(q) = -3*q - 3. Let t be (22 - 19)/(1 - 2). Let o be k(t). Calculate the greatest common divisor of 6 and o.
6
Let q = -390 + 400. Calculate the greatest common factor of q and 45.
5
Let o(z) = z**3 + 32*z**2 - 33*z + 34. Let i be o(-33). What is the highest common divisor of i and 10?
2
Let i = 823 - 808. Calculate the highest common divisor of 75 and i.
15
Let a(d) = 60*d + 471. Let p be a(7). Calculate the greatest common divisor of 33 and p.
33
Suppose -f + 9*f = 112. Let h(i) = 41*i + 1. Let k be h(1). Calculate the greatest common factor of k and f.
14
Suppose 6*n + 3 = 45. Let p = -5 - -19. What is the greatest common factor of n and p?
7
Let g(j) = j**2 + 7*j - 13. Let n be g(-9). Let h(x) = 4*x + 2*x - n*x + 2*x - 18. Let y be h(10). What is the highest common divisor of 12 and y?
12
Let s = 27 + -17. Suppose s*o - 248 = -28. Calculate the greatest common divisor of 33 and o.
11
Let p = 12 + -23. Let u be p + 8 + (-10)/(-2). Let j be 3/u*160/30. Calculate the greatest common divisor of 8 and j.
8
Suppose 4 = -n - 1. Let p = n - -13. Calculate the highest common factor of p and 72.
8
Let q = -13 + 17. Let x(s) = s**3 - 10*s**2 + 18*s - 12. Let c be x(8). Calculate the highest common factor of c and q.
4
Let r be 48/(-216) + 7438/18. Calculate the highest common factor of r and 118.
59
Let z = -138 + 148. What is the greatest common divisor of z and 270?
10
Suppose 4*v - 5*q = 8*v - 1144, q - 572 = -2*v. Calculate the highest common factor of v and 1001.
143
Let g(f) = f - 14. Let r be g(14). Suppose r = t - 5*j - 0 - 20, -t = 3*j - 36. What is the greatest common factor of t and 40?
10
Let m be 38/7 - 5 - 4/(-7). Calculate the highest common divisor of m and 5.
1
Let q be (13 + -1)/((-102)/(-680)). Suppose 4*k - 28 = 7*o - 3*o, -4*o = 8. Calculate the greatest common divisor of k and q.
5
Let s(i) = -16*i - 31. Let o be s(-7). What is the greatest common factor of 108 and o?
27
Let n be (-6)/18*(12/(-3) - 8). What is the greatest common factor of 448 and n?
4
Suppose -2*s + 5*s - 9 = 0. Suppose 9*i - 84 = s*i. What is the greatest common divisor of 112 and i?
14
Let y(t) = -2*t + 30. Let d be y(13). Let a be (21*d)/(27/36). Calculate the highest common factor of 16 and a.
16
Let i be (-9)/4*(-336)/9. What is the highest common factor of 48 and i?
12
Suppose -2*o = 7 + 5. Let i(s) = s**2 + 4*s - 2. Let b be i(o). Let w = -1621 - -1625. Calculate the greatest common factor of b and w.
2
Suppose 275 = -3*f - 304. Let s = 385 + f. Let z be (s/(-40))/(1/(-30)). Calculate the greatest common divisor of 18 and z.
18
Let m be 2/(-4) + (1407/14 - -2). What is the highest common divisor of m and 34?
34
Let x = -61 - -131. What is the greatest common factor of x and 20?
10
Let s(y) = 4*y**2 + 33*y - 356. Let h be s(-32). What is the greatest common divisor of 61 and h?
61
Suppose 0 = 4*b - 278 + 262. Suppose 0 = 5*p - 5*k - 2005, k - 668 - 911 = -b*p. Calculate the highest common factor of 36 and p.
36
Let t = -103 - -176. Suppose -12*i = -383 - t. Calculate the greatest common factor of 418 and i.
38
Let y = 15 - 10. Suppose 2*s + 30 = y*s. Suppose -5*b = -5*f + s, 15 = 3*f + f + 3*b. Calculate the greatest common divisor of 12 and f.
3
Let k(d) = -19*d + 94. Let b be k(-6). Suppose 38 = r - 9. Let v = r + -21. Calculate the greatest common divisor of v and b.
26
Let g(u) = -u**2 + 7*u. Let n be g(7). Suppose n = -6*x + 7*x - 30. Calculate the greatest common factor of x and 150.
30
Suppose -j - 96 = -5*x + j, 0 = 5*x - 4*j - 92. What is the highest common divisor of 70 and x?
10
Let c = -88 - -153. Let p = c - 61. Calculate the highest common factor of 4 and p.
4
Let k = -106 + 118. Calculate the highest common divisor of k and 88.
4
Let a = 131 + -101. Let m be (a/(-12))/5*-2*1. What is the highest common divisor of 17 and m?
1
Let l(j) = 3*j - 4 + 340*j**2 + 6*j**3 + 8 + 8 - 339*j**2. Let y be l(3). Calculate the highest common factor of y and 12.
12
Suppose 0 = -4*p + 5*a + 6 + 13, 0 = -5*p + 3*a + 40. Let f = -337 - -590. What is the greatest common factor of f and p?
11
Let x(b) = -b**3 + 5*b**2 + 3*b - 1. Let y be x(5). Let g = y + 28. What is the highest common factor of 14 and g?
14
Let n(b) be the first derivative of 5 - 4*b - 5*b**2 + 1 + 0. Let i be n(-4). Calculate the highest common divisor of 24 and i.
12
Suppose 24*s + 463 = 2047. What is the highest common factor of 858 and s?
66