Calculate the highest common factor of u and v.
12
Let h(o) = o**3 - o + 2. Let q be h(2). Suppose -1 = m + 4, 4*m = -4*n + 396. Calculate the highest common divisor of n and q.
8
Let r(z) = 9*z**3 - 7*z**2 - 4*z - 3. Let i be r(-2). Let s = 124 + i. What is the highest common factor of s and 261?
29
Let l(s) = -s**3 - 19*s**2 - 23*s - 61. Let h be l(-19). What is the highest common divisor of 40 and h?
8
Suppose 0*w + 2*b = -w + 2, 3*b - 3 = 0. Suppose l = -w*l + 45. Calculate the highest common divisor of 15 and l.
15
Suppose 288 = 4*n + 2*n. Suppose -6 = s + 3*h, 0 = 5*s - 3*h + 4*h - 12. Let f = 3 + s. Calculate the greatest common divisor of f and n.
6
Let g = 10 - 6. Let l(o) = -2*o**3 + 2*o - g*o + 0 + 1 - 4*o**2. Let r be l(-2). Calculate the highest common divisor of 50 and r.
5
Let r(v) be the second derivative of v**3/3 + 6*v**2 - 4*v. Let l be r(-8). Let w(i) = i + 6. Let z be w(l). What is the greatest common divisor of z and 1?
1
Let x = -26 + 65. Let k be (4*1)/(10/5). Suppose -k*z = 5*y - 0*z - 140, 3*y + z - 83 = 0. What is the greatest common factor of x and y?
13
Let d be 28 - (-5 + (-5 - -8) + 1). Calculate the greatest common factor of 2 and d.
1
Let v = 337 + -203. Calculate the greatest common factor of v and 67.
67
Suppose z + 8*a = 5*a + 96, z + a = 104. Calculate the greatest common factor of 16 and z.
4
Suppose 4 = 2*x - 0*x. Suppose 888 = 600*k - 563*k. Calculate the highest common factor of k and x.
2
Let q = 1168 + -1146. What is the greatest common factor of 2662 and q?
22
Suppose -i + 2 = -14. Let z be (-10 - -5) + 28/4. Calculate the highest common divisor of i and z.
2
Let l = -2030 + 2031. Let c be 3*10/6*1. Calculate the highest common factor of l and c.
1
Suppose -5*p = -10*p - 35. Let h = 10 + p. Let s = h + 0. What is the greatest common divisor of s and 9?
3
Let r(v) = 9*v**2 - 32*v + 13. Let w be r(7). Calculate the greatest common factor of 10 and w.
10
Let w be (10/8)/(15 + (-7542)/504). Calculate the greatest common factor of w and 1015.
35
Suppose k + i = 28, -2*k = -0*k - 5*i - 70. Suppose 83 - 29 = -3*p. Let l = p + 21. What is the greatest common divisor of l and k?
3
Let d(l) = l + 6. Let x be d(-6). Let c = 51 + 24. Suppose -2*m + 5*f = -c, -5*m + 0*m + f + 222 = x. What is the greatest common divisor of m and 9?
9
Let v(i) = i**3 - 9*i**2 + 8*i + 2. Let h = -24 + 14. Let u be 42/5 - (-4)/h. Let y be v(u). Calculate the greatest common factor of 18 and y.
2
Suppose -2*f - 4*y + 34 = 0, 25*f - 21*f - 24 = 3*y. Calculate the highest common divisor of 351 and f.
9
Let d(u) = 68*u + 15*u - 2 - 16*u. Let f be d(1). Let p be 13/2*(-2 - -4). What is the highest common factor of p and f?
13
Let z = 52 - 20. Let g = z - 8. Suppose -3*k = 2*p + 2*k - g, 3*k = p - 12. What is the greatest common divisor of 84 and p?
12
Let y(i) = -i**2 - 12*i + 10. Let d = -58 - -46. Let p be y(d). What is the highest common factor of p and 2?
2
Let g = -28 + 50. Let o = -17 + g. Suppose -s - 4*s = -o. Calculate the highest common divisor of s and 5.
1
Let w = 252 - 172. What is the greatest common factor of 10 and w?
10
Let n = -257 - -266. Calculate the highest common factor of n and 4.
1
Let x = 59 - 51. Suppose -x - 16 = -2*z. Let h be (4/6)/((-2)/(-9)). Calculate the highest common factor of h and z.
3
Suppose 3*t + 7512 = 4*y, 6*y - 9363 = y - 3*t. What is the greatest common divisor of y and 15?
15
Let l(h) = h**3 + 9 + 2*h + 0*h + 4*h**2 + 5*h. Let q be l(-2). Calculate the highest common factor of q and 24.
3
Let o(d) = 42*d**3 + d**2. Let f be o(1). Suppose 4*u - f - 177 = 0. Calculate the highest common factor of 22 and u.
11
Let v(n) = 14*n**2 - 65*n + 52. Let o(z) = 5*z**2 - 22*z + 17. Let y(q) = -11*o(q) + 4*v(q). Let g be y(18). Calculate the greatest common divisor of 14 and g.
7
Let b(h) = -126*h**3 - h**2 - h - 1. Let v be b(-1). Let n = 7390 - 7365. What is the highest common divisor of n and v?
25
Suppose -9*n - 10*n = -6612. Calculate the highest common divisor of 12 and n.
12
Suppose 4*r + 8*b = 3*b + 387, b + 393 = 4*r. Calculate the highest common factor of r and 112.
14
Let r = 519 - 505. Calculate the highest common divisor of r and 56.
14
Suppose 0 = -2*w - w - 630. Let h be (-2)/(-11) - w/55. Let a be (-8 - h)*(-2)/6. Calculate the greatest common factor of 1 and a.
1
Suppose -x - d - 4 = -6, 13 = -x - 4*d. Calculate the highest common factor of x and 77.
7
Suppose 0 = 60*x - 54*x - 828. What is the highest common divisor of 345 and x?
69
Suppose -5*k + 271 = a, 3*a = -4*k + 7*a + 212. Calculate the greatest common factor of 729 and k.
27
Let p = 164 + -131. Calculate the highest common divisor of 99 and p.
33
Let m(x) = 21*x**2 - x - 25. Let j be m(5). What is the highest common divisor of j and 55?
55
Let v be 160/75 - 6/45. Suppose -v*l + l = -91. What is the greatest common factor of 13 and l?
13
Suppose 2 = h, 111 - 9 = -2*r - 5*h. Let v = r + 80. What is the highest common factor of 120 and v?
24
Let k = 97 + -69. Let c be (-10304)/69*3/(-2). What is the highest common divisor of c and k?
28
Let r = -273 + 293. Calculate the highest common divisor of r and 20.
20
Let n = 113 + -110. Let r be ((-9)/(-15))/((-3)/(-45)). What is the highest common divisor of r and n?
3
Let j be -1*((7 - 5) + -10). Calculate the greatest common divisor of j and 184.
8
Let y(g) = 2*g**3 - 3*g**3 - g**2 + 3*g**2 + 2*g. Let c be y(-2). Calculate the highest common factor of 8 and c.
4
Suppose 245 = -c - 4*b, 1 = -2*b - 5. Let r = -160 - c. Let w = -52 + r. Calculate the greatest common factor of 42 and w.
21
Suppose 15*i + 10200 = 55*i. Calculate the greatest common divisor of 315 and i.
15
Suppose -10*y - 2*t - 55 = -13*y, -2*y = -3*t - 30. Calculate the highest common divisor of y and 77.
7
Suppose 7*q - 44 + 2 = 0. What is the greatest common factor of 16 and q?
2
Let q be 2 - (4 + (6 - 2)). Let x be 114 - (-1)/((-2)/q). Suppose -5*t + 8 = -x. What is the greatest common factor of 100 and t?
25
Let z(x) be the first derivative of -x**3/3 - 5*x**2/2 + 9*x + 1. Let o = -139 + 133. Let h be z(o). Calculate the greatest common factor of 18 and h.
3
Suppose -a - 101 = -3*j, a - 4 = 3*a. Calculate the greatest common factor of 319 and j.
11
Suppose 0 = -7*q - 3*q + 660. Suppose 3*b - q = -3*b. What is the highest common divisor of 44 and b?
11
Suppose -j - 2*g = -30, 2*g - g = -4*j + 113. Calculate the greatest common divisor of 12 and j.
4
Let a be ((12/9)/(-1))/(14/(-21)). Suppose -k = a*t + 5 - 64, 3*t - k - 76 = 0. Calculate the greatest common divisor of 135 and t.
27
Let a = 138 + -118. Calculate the greatest common factor of 260 and a.
20
Let s(v) = -5*v - 5. Let w be s(-1). Let h(k) = -2*k**2 + k + 32. Let j be h(w). Calculate the highest common divisor of 8 and j.
8
Suppose 7*i - 6 = -6. Suppose 3*y = 5*z - 24, 0 = -i*z - z + 5*y + 18. What is the greatest common factor of 24 and z?
3
Suppose -117 = -17*m + 274. What is the greatest common factor of 667 and m?
23
Suppose -551 = 11*q + 879. Let o be (-14)/35*(0 + q). What is the greatest common factor of o and 4?
4
Suppose -5*x + 20 = 0, 2 = q - 4*x - 0*x. Let d be 310/18 - q/81. What is the highest common divisor of 17 and d?
17
Let c(j) = j**3 - 10*j**2 + 21*j + 16. Let d be c(7). Calculate the greatest common factor of d and 216.
8
Let f(u) = 4*u**2 - u - 5. Let c be f(5). Suppose 2*y = 2, m + y = 2*m - 9. What is the greatest common divisor of c and m?
10
Let i be (-8)/(-20) + (-8082)/(-45). What is the greatest common divisor of 144 and i?
36
Suppose 6*v = 9 - 27. Let w be v/(-6 - -3) - 3. Let j be (-680)/(-50) + w/(-5). What is the highest common divisor of j and 14?
14
Suppose 15*c + 529 = 1024. What is the highest common factor of c and 11?
11
Let h be 8/44 - (-20)/11. Let o be 8/16 - (-37)/h. Calculate the greatest common factor of o and 171.
19
Let c = 26 - 22. Suppose c*a - 13 = -m, -5*m + 4*a + 101 = -84. What is the greatest common factor of 11 and m?
11
Let g be 1 - 1*(-5)/(25/1315). What is the greatest common divisor of g and 12?
12
Suppose -9*o + 793 = -5003. Calculate the greatest common divisor of 28 and o.
28
Let v be ((-1332)/(-10))/(-17 - 1305/(-75)). Calculate the greatest common factor of 74 and v.
37
Suppose -5*x = -f - 257, 38