
Let i(y) = 16*y**2 - y + 1. Suppose -t + 2*t = 1. Let w be i(t). Let z be 3 + -1*3 + (-12)/(-6). Calculate the greatest common divisor of z and w.
2
Let t = -20 + 262. Calculate the greatest common factor of 55 and t.
11
Let q = 144 + -76. Let k(b) = -7*b**3 + 2*b - 1. Let s be k(1). Let d be s*(158/(-6) + -2). What is the greatest common divisor of q and d?
34
Let f be 33/44 + 1*18/8. Suppose -l + f = 2. Calculate the greatest common divisor of l and 4.
1
Suppose q - x = -2*q + 92, -q + 3*x = -36. Suppose 83*u - 237 = 12. What is the greatest common divisor of u and q?
3
Suppose 4*y + 533 = 8*y + 3*s, 3*s = -y + 122. Suppose 6 = -2*t, 5*i + 4*t - 1700 + y = 0. What is the highest common factor of i and 35?
35
Let b(g) = -3*g + 15*g**2 - g**3 - 1 + 5 - 11*g + 4. Let n be b(14). Suppose -360 = -4*v - v. Calculate the highest common divisor of v and n.
8
Let c be 1/(-4) + (-54)/8. Let l(h) = 0 - 4642*h + 4600*h - 4. Let s be l(c). Calculate the greatest common factor of s and 29.
29
Suppose 30*v - 146364 = -35394. Calculate the highest common factor of v and 137.
137
Let h(y) = -5*y**3 + 0 - 6*y**2 + 2 + 7*y**3. Let a be h(4). Calculate the greatest common factor of 85 and a.
17
Let a be 227 - (0 + -2)/((-2)/3). Calculate the highest common divisor of 14 and a.
14
Suppose -d - 19*p + 2 = -20*p, -3*d - 2*p = -6. Calculate the greatest common factor of d and 11.
1
Suppose 0 = 4*s + 5*d - 81, 26*s = 21*s - 5*d + 100. Calculate the greatest common factor of s and 76.
19
Let x(k) = 2*k**2 + 23. Let y be x(4). What is the greatest common divisor of 495 and y?
55
Let f(d) be the second derivative of d**4/3 - 3*d**3/2 - 7*d**2/2 - 20*d. Let r be f(5). Suppose 4*b = -0*b + 32. What is the highest common factor of r and b?
8
Let g(l) = l**3 - 12*l**2 + 16*l - 10. Let m be g(11). Let u = -26 + m. Let z be (-9)/6*(-113 - 1). What is the highest common factor of u and z?
19
Let x(y) = -2*y - 2. Let n be x(-3). Suppose 42 = 7*g - n*g. Let k = g + -6. What is the greatest common divisor of 64 and k?
8
Suppose 4*p = 206 + 86. Let y = -64 + p. Calculate the highest common factor of 27 and y.
9
Let w = 53 - 29. Suppose 109*q - 84*q = 900. What is the greatest common factor of q and w?
12
Let z(x) = x - 14. Let a = -10 - -22. Let g be z(a). Let h = 24 + g. Calculate the highest common factor of 11 and h.
11
Let y = -18 - -28. Let i(o) = o**2 + 5*o + 9. Let c be i(-7). Suppose -4*h + c = -37. Calculate the greatest common factor of h and y.
5
Suppose 0 = 2*b - 7*b - 25. Let z be (18/b)/((-9)/30). Calculate the greatest common factor of z and 30.
6
Suppose -6*q = 16 + 26. Let r be 10 + 2 + q + 1. Suppose -p + 3*p - 158 = -4*c, 0 = 4*c + 3*p - 153. What is the greatest common divisor of r and c?
6
Let j(x) = 18*x - 4. Let p be j(2). What is the highest common factor of p and 256?
32
Let s be ((-4)/8)/(3/(-12)). Suppose 5*m + 3*a + 10 = 0, 0 = -s*m + m + 5*a - 2. Let j be 44*m/(16/(-18)). Calculate the highest common factor of 9 and j.
9
Let i = 331 - 261. Calculate the greatest common divisor of i and 80.
10
Let b(k) = k**3 - 7*k**2 + k + 6. Let r be b(7). Calculate the highest common factor of r and 52.
13
Let b be (-1 - (-4 - 5))*1. Let q(y) = y**2 - y - 11. Let k be q(b). Let m = 8 + 1. Calculate the greatest common factor of m and k.
9
Let v be -7 - 95/(-15) - (-773)/3. Suppose -j - 3*p + 8 + 61 = 0, 0 = -3*j + p + v. What is the highest common divisor of j and 42?
42
Let o = 376 + -102. Calculate the highest common divisor of 6 and o.
2
Suppose -a + 5*v + 22 = 0, a = 10*v - 6*v + 28. Let y be (-2)/(4 + -2) + 27. What is the highest common factor of a and y?
26
Suppose -122*p - 663 - 393 = -134*p. Suppose 2*n = 6, 4*u + 4*n - 242 = 34. What is the highest common divisor of p and u?
22
Let o be 2 + (-208)/78*(-6)/4. Calculate the highest common factor of o and 33.
3
Let k = -5 - -1. Let t be (2/k)/(3/(-120)). Suppose 5*i + 8*m - 11*m - 397 = 0, -3*i = 5*m - 245. What is the highest common factor of i and t?
20
Suppose -2*l = c - 104, -3*c - 997 = 5*l - 1255. Suppose 6*i - 2*i - 1080 = 0. Calculate the highest common divisor of i and l.
54
Let h be (28/10)/(-12*(-2)/360). Calculate the greatest common factor of h and 98.
14
Let g(y) = -y**2 - 61*y - 366. Let v be g(-7). Suppose -780 = -4*o + 3*f - 0*f, 5*f = -20. What is the greatest common divisor of o and v?
12
Let r(y) = -3*y + 2. Let d be r(-3). Let f(c) = 11*c - 11. Let m be f(d). What is the greatest common divisor of 22 and m?
22
Let h be 354/16 - (4 + (-341)/88). What is the greatest common divisor of 154 and h?
22
Suppose -204 = 19*h - 831. Calculate the greatest common divisor of 11 and h.
11
Suppose -68*j + 3515 + 21 = 0. What is the highest common factor of 468 and j?
52
Let q(h) be the third derivative of -h**6/120 + 3*h**5/20 + h**4/6 - 8*h**3/3 - 6*h**2. Let p be q(9). Calculate the highest common divisor of p and 40.
20
Let a(j) = -j**2 - 45*j + 375. Let p be a(-52). Calculate the highest common divisor of 198 and p.
11
Suppose 6*t = 2*t + 3*s - 8, 0 = 4*t - 2*s + 4. Let a = -26 - -31. Suppose -g - 5*l = 7, 2*l + 30 = a*g - 2*g. What is the greatest common factor of g and t?
1
Suppose -5*f + 3*i + 123 = 5*i, -i + 124 = 5*f. Let n = 872 - -7. Suppose 5*b - n = 2*t, -t + 5*t + 358 = 2*b. Calculate the highest common factor of f and b.
25
Let j be 2/(-8) - 363/(-44). Suppose 0 = 2*b + j, u + 3*b - 128 = -4*u. Calculate the highest common divisor of 28 and u.
28
Let p = 90 + -95. Let d = p - -221. What is the greatest common divisor of d and 24?
24
Suppose -4*w = -2*x + 2540, -2*w - 3815 = -3*x + 3*w. Suppose -d + 6*d = -x. Let p be d/(-6) + 6/(-9). Calculate the highest common factor of 63 and p.
21
Suppose 3*a + 105 = 3*n, -n = -2*a + 21 - 51. Calculate the highest common factor of 1160 and n.
40
Suppose x + x - 19 = 3*k, 0 = -5*x - 5*k + 60. Suppose -5*y + 6 - x = 0. Let s be (y + 16)/(0 - -1). Calculate the greatest common divisor of 5 and s.
5
Let k(o) = 7*o + 153. Let i be k(-10). What is the greatest common divisor of i and 249?
83
Suppose -f + 0*b + 1 = 2*b, -4*b = -3*f - 27. Let p be ((-4)/5 - 1)/(1/f). What is the highest common factor of p and 45?
9
Suppose 924 = 33*c - 19*c. Calculate the greatest common divisor of c and 44.
22
Let t(l) = l**2 - 3*l - 4. Let i be t(-5). Suppose -222 + 42 = 6*h. Let o = h - -34. Calculate the highest common factor of i and o.
4
Let q(f) = -231*f - 42. Let h be q(-6). Calculate the greatest common factor of h and 14.
14
Let y = 99 - 67. Suppose 2*a - 5*o = 30, 4*a = -2*o - 2*o + y. Let z be (-5)/(((-4)/6)/2). Calculate the greatest common divisor of a and z.
5
Suppose 2*t + 3*f - 21 = 0, 42*f = 2*t + 41*f - 9. Calculate the highest common factor of 18 and t.
6
Let h = -257 - -457. Calculate the greatest common factor of 300 and h.
100
Let f = 556 + -544. Calculate the highest common divisor of f and 54.
6
Let s(t) = t**2 - 11*t - 16. Let n be s(14). Calculate the greatest common divisor of n and 8.
2
Suppose 189 = -q - 3*i + 606, 5*q - 2105 = 5*i. Calculate the greatest common divisor of 40 and q.
20
Let b = 44 + 15. Suppose -61 = -2*o + b. What is the highest common divisor of 10 and o?
10
Let a be 1/(-5)*2 - (-14574)/35. What is the highest common divisor of a and 26?
26
Suppose -3*j = -2*b - 246, 2*j = -0*j - b + 164. What is the greatest common factor of 574 and j?
82
Let z(g) = -11*g - 97. Let i be z(-9). Let y be -4 - (-7)/(2 + -1). What is the highest common factor of y and i?
1
Suppose 7*d - 8*d + 18 = -q, 3*d - 62 = -q. Calculate the highest common divisor of d and 130.
10
Let b(x) = -4*x**2 - x + 8*x**2 - 4*x - 2*x**2. Let t be b(4). Let o = t - -8. What is the highest common divisor of o and 180?
20
Suppose -9*v + 7*v = 0, -4*u + 2*v + 1188 = 0. What is the highest common divisor of 11 and u?
11
Suppose 15*g - 2754 = -12*g. What is the highest common factor of 442 and g?
34
Let b = 109 + -107. Let j be 34 + 2/(1/b - 1). What is the highest common factor of j and 20?
10
Let d = -42 - -28. Let q = d + 89. What is the greatest common divisor of q and 50?
25
Suppose 52*a = 54*a - 3350. What is the highest common factor of 50 and a?
25
Suppose 0 = -w + 2 + 2, -2*x - 4*w + 66 = 0. Suppose 13*i = -29*i + 420. Calculate the highest common factor of i 