 Calculate the highest common factor of v and t.
37
Suppose 3*b + 6 = -0*b + 3*u, 2*u = -3*b - 21. Let m be b/(27/15 - 2*1). Let h = -18 + m. What is the highest common divisor of 35 and h?
7
Let o(j) = -3 - j**2 - 4*j + 3 + 3*j**2. Suppose 8*p - 6 = 18. Let g be o(p). What is the greatest common factor of 12 and g?
6
Let o be (30 - 0)*(1 - 0). What is the greatest common factor of 4980 and o?
30
Suppose -16 = -4*k + p + 417, 4*k = -2*p + 430. Calculate the highest common divisor of 2781 and k.
27
Suppose 5*m - 4*g - 460 + 20 = 0, 3*g - 321 = -4*m. Calculate the greatest common factor of m and 3514.
14
Let b(r) = -r**3 + 8*r**2 - 5*r + 67. Let s be b(8). Calculate the greatest common factor of s and 111.
3
Suppose 21*u - 68*u - 44*u + 546 = 0. Suppose -5*q = -0*r + 5*r - 420, 5*q = 0. Suppose r = 3*k + u. Calculate the highest common factor of 65 and k.
13
Let h(p) = 2*p**2 - 8*p + 9. Suppose -3*a + 8*y + 2 = 6*y, y = -5*a + 25. Let t be h(a). What is the greatest common divisor of 48 and t?
3
Let n be (-39 - -51)/((-20)/(-75)). What is the greatest common factor of 513 and n?
9
Suppose 2024 = -17274*u + 17285*u. Let f be (-12)/(-10)*60/9. What is the greatest common divisor of f and u?
8
Suppose -3*r - 23 = q, 3*r - 20 = 3*q + 73. Let j be 105/1*(30 + q). Calculate the highest common divisor of 84 and j.
21
Suppose 3*x - 1620 = -4*k, 4*x - 124*k = -121*k + 2160. What is the highest common factor of x and 24?
12
Suppose 0 = -j - 4*k + 5601, 0 = 3456*j - 3458*j + 2*k + 11172. What is the greatest common factor of j and 69?
69
Let m = -37106 + 37170. What is the greatest common divisor of 11456 and m?
64
Let t(b) = -31*b + 2. Let v be t(-3). Suppose 2*a - 49*z - 240 = -27*z, 30 = 5*a + 2*z. Calculate the highest common factor of v and a.
5
Let v = -30 - -24. Let g be 1/(2/v) + -79. Let o = 86 + g. Calculate the highest common divisor of 20 and o.
4
Let j(h) = -2*h**2 + 7*h - 2. Let n be j(2). Suppose -n*m + 40 = -0*f + 2*f, 4*m + 80 = 4*f. Calculate the greatest common divisor of f and 50.
10
Let d = 51 + -29. Suppose 884 = -4*g + 2624. Suppose 39 - g = -2*f. What is the greatest common factor of f and d?
22
Suppose 4*q - 107 = 113. Let i(c) = 3*c**2 + 15*c + 11. Let g be i(-10). Suppose -q = -3*z + g. What is the highest common factor of z and 24?
24
Let u(m) = -m**3 + 31*m**2 + 814*m + 103. Let s be u(48). Let y be (-26 - -2)/(-3) - -1. What is the highest common divisor of y and s?
1
Suppose -57053 - 12562 = -17*s. What is the greatest common factor of 35 and s?
35
Let m be (-1 + 428/(-12))*246/(-205). What is the greatest common factor of m and 11044?
44
Let h(k) = -2*k**2 + 5*k + 523. Let f be h(17). What is the highest common divisor of f and 7815?
15
Let u be ((-6)/4)/(2/(-20)). Let w = u + -9. Let l(r) = 7*r - 53. Let b be l(8). What is the greatest common divisor of b and w?
3
Let r = -487 - -855. Calculate the highest common factor of r and 23.
23
Suppose v + 0 - 2 = 0, -2*a - v + 6 = 0. Suppose 7*r - 40 = a*r. Calculate the highest common factor of 22 and r.
2
Let u(n) = n**2 + 15*n - 38. Let y be u(7). Suppose -11*h = -y - 16. Let k be 2/4 + 238/4. What is the greatest common factor of k and h?
12
Let i be 114/(-57)*(-1)/(6/105). Suppose 18 - 4 = 2*f. What is the greatest common divisor of i and f?
7
Suppose 2*s - 5*d = -49, 5*s + 70 = -d + 3*d. Let b be 2*8*((-171)/s)/1. What is the highest common divisor of b and 6?
6
Let u be (-52)/(-3) + (-44)/(-66). Suppose -215 - 721 = -u*s. What is the highest common divisor of s and 4?
4
Let c be (1 + 115/(-7))*7. Let r be c/(-4)*5/3. Let g be 2/6*(0/(-7) - -15). What is the greatest common factor of r and g?
5
Suppose 402 + 808 = 121*b. Calculate the greatest common factor of 5490 and b.
10
Let u = -22450 - -22521. Calculate the highest common factor of u and 1.
1
Let v(k) = 88*k**2 + 274*k - 2370. Let a be v(9). What is the highest common factor of a and 21?
21
Suppose 2*q = -0*q + 4*w + 2, 4*w = q + 1. Let u be 1/q + 20/12. Let z(o) = o - 5. Let b be z(7). Calculate the highest common divisor of b and u.
2
Suppose o - y + 0*y = -17, 0 = -4*o - 4*y - 108. Let g(k) = k**2 + 3*k - 13. Let m be g(0). Let s = m - o. Calculate the greatest common factor of 6 and s.
3
Let q(a) = 7 + 1345*a**2 + 7*a - 1346*a**2 - 3*a**3 + a**3. Let o be q(-4). Calculate the highest common factor of o and 7.
7
Suppose -4*g = -43*r + 40*r + 5, 4*g - 19 = -5*r. Let l be (g + 21/(-12))*-40. What is the greatest common factor of l and 24?
6
Let p be ((-25)/(300/3108))/(-3 - 2*-1). What is the greatest common factor of 7289 and p?
37
Suppose -q = -9*s + 10*s + 59, s + 4*q + 50 = 0. Let r be -6 - 0/(-1) - s. What is the highest common divisor of r and 168?
56
Let j = -42 + 37. Suppose 4*a + 2*i - 4*i + 732 = 0, -5*i - 760 = 4*a. Let d be 2190/21 - (j + a/(-35)). What is the highest common divisor of 13 and d?
13
Let l be 626/6 - (-8)/12. Let g be 1/2 + l/6. Suppose -z - 5*k + 152 = 0, 3*k + 484 = 4*z - 170. What is the greatest common divisor of g and z?
18
Let b(c) = -29*c + 36. Let y be b(2). Let a be (-12)/(-66) - 348/y. What is the greatest common factor of 176 and a?
16
Suppose -33*p + 35*p = 30. Let j be (1/(-2))/(p/(-390)). Calculate the highest common divisor of j and 169.
13
Let p = -6465 + 6609. What is the highest common divisor of p and 960?
48
Suppose -j + 472*z - 469*z + 5804 = 0, 0 = -2*z - 4. What is the highest common factor of j and 52?
26
Let g be 84/56 - (-2223)/6. Suppose 0 = -22*t - 9*t + g. Calculate the greatest common divisor of t and 68.
4
Let p(a) = 44*a**2 - a + 39. Let h be p(6). What is the greatest common factor of 77 and h?
77
Let i be 17/8 + -2 + (-477)/(-24). Calculate the greatest common factor of 10 and i.
10
Suppose -2*o + 2*s = -422, o + 79*s = 81*s + 217. Suppose 5*m = -4*g + 615, 3*m - 369 = -0*g - 5*g. What is the greatest common factor of m and o?
41
Suppose -l - 4*l = -10, 0 = 4*y + 5*l - 178. Let w be (-16946)/(-30) + y/315. Suppose 3*n - w + 61 = 0. Calculate the highest common factor of n and 24.
24
Suppose 0 = 3*k + 10 - 31. Suppose -9*x - 8 = -5*x. Let i(l) = 10*l**2 - 6*l - 10. Let o be i(x). What is the greatest common divisor of k and o?
7
Suppose -11 + 13 = z. Let m be z/3 + 62/(-93). Suppose 52 = i - 4*v, m = 5*v + 9 + 11. What is the highest common divisor of 18 and i?
18
Let k(v) = 8*v - 14. Let l be k(10). Calculate the highest common divisor of 5874 and l.
66
Let u(y) be the first derivative of 113*y**2/2 - 13*y - 99. Let a be u(1). Calculate the highest common divisor of 1100 and a.
100
Let u(q) = -q**3 + q**2 + q. Let a(t) = 4*t**3 + 18*t**2 + 3*t - 44. Let v(j) = -a(j) - 2*u(j). Let x be v(-10). What is the highest common factor of 141 and x?
47
Suppose 4*w + 20 - 28 = 0. Suppose -w*s + 6*s - 59 = -5*j, -j + 3*s + 27 = 0. Suppose -5*n + 0 = -j. Calculate the greatest common divisor of n and 3.
3
Let o = 28050 + -26478. What is the greatest common factor of o and 84?
12
Suppose 28*n - 31*n + 1008 = 0. Let a = -3656 - -3768. Calculate the highest common factor of a and n.
112
Suppose 17 - 12 = k, -5*q + 3*k + 42390 = 0. What is the highest common factor of q and 33?
33
Let x = -42 + -48. Let n be (-13)/(65/x) + -6. Calculate the greatest common divisor of n and 30.
6
Let w = 85 + 59. Suppose -91*l + 33*l + 4640 = 0. Calculate the greatest common factor of l and w.
16
Suppose -3*n = 2*m - 682, 20 = 65*n - 60*n. Calculate the highest common factor of 45 and m.
5
Suppose 4*n + 5*j - 272 + 71 = 0, -83 = -2*n + j. Let x(w) = 14*w**2 - 3*w + 6. Let i be x(-4). What is the highest common divisor of i and n?
22
Suppose 275 = 669*y - 644*y. What is the highest common divisor of 2365 and y?
11
Let w(o) = 1283*o + 2619. Let i be w(-2). Calculate the greatest common factor of 11183 and i.
53
Let b = -93 - 15. Let r = b - -8. Let t = -43 - r. Calculate the highest common divisor of t and 19.
19
Suppose 0 = -4*x - 3*x + 490. Let t = 83 - x. Calculate the greatest common factor of t and 169.
13
Let f = -88 - -102. Suppose c = 4*r - 4, -r - 4*c + f = -2*r. Suppose 5*h - 3*g = r*g + 105, 3*h - 58 = 2*g. What is the greatest common factor of 24 and h?
8
Suppose -7*a + 16995 = -11145 + 8589. What is the greatest common divisor of 441 and a?
147
Let k be 1/(-3) + (-11)/((-198)/(