h**4/8 - 5*h**3 - 31*h**2. Let r be f(14). Calculate the highest common factor of r and 60.
12
Let q(m) = 10*m - 274. Let i be q(31). Calculate the highest common factor of 5040 and i.
36
Let u = -632 - -887. Calculate the highest common factor of u and 15.
15
Let n be (-1)/4*-282*76/57. Calculate the highest common factor of n and 2.
2
Suppose 12*c = 10*c + 12. Suppose 2*u + 44 = c*u. What is the highest common factor of u and 22?
11
Suppose o + 23 = 4*a - 10, 5*a - 5*o = 45. Let t be 248/3 + 2/(-3). Let f be t/5 - 6/15. Calculate the highest common factor of a and f.
8
Let b(l) = l + 13. Let a be b(-6). Suppose 4*v - 4*g = 32, -2*v + 10 = 3*v + 5*g. Suppose -v*j + 366 = -19. What is the greatest common divisor of j and a?
7
Let v(i) = -14*i - 37. Let u be v(-7). What is the highest common divisor of u and 488?
61
Let u be (-2 + 22)*(-1 + 0). Let g be 56/10*u/(-4). Suppose g = 4*w - 0*w. Calculate the greatest common divisor of 35 and w.
7
Suppose 0*j = -j + 10. Let r = -2 + j. Suppose -r + 0 = -2*o, 2*q - o = 48. What is the greatest common factor of 39 and q?
13
Let r(o) = -3*o**2 + o**2 - 7*o + 4 + o**2. Let i be r(-8). Let m(f) = 5*f**2 - 4*f - 4. Let z be m(i). Calculate the greatest common factor of 23 and z.
23
Suppose 0 = w - 81 + 60. Suppose -24*y + w*y = -33. Calculate the greatest common factor of 88 and y.
11
Suppose 3*a - 5*a = 0. Suppose 5*u = -a*u + 15. Let b be (-152)/(48/(-6)) + 5. What is the highest common divisor of u and b?
3
Suppose 150 = 5*r - 70. Let t = -30 + r. Suppose 0 = x - 0*x - 35. Calculate the highest common divisor of t and x.
7
Suppose 5*v - 304 = -4*k - 74, 270 = 5*v - 4*k. Let y(z) = z**2 + 1. Let f be y(-3). Calculate the highest common factor of f and v.
10
Suppose -2*j + 4 - 16 = 0. Let y(q) = -q + 4. Let n be y(j). Suppose -5*z - 10 = 0, 10*u + 62 = 12*u - z. What is the highest common factor of u and n?
10
Suppose -178*g = -174*g - 32. Calculate the greatest common divisor of 72 and g.
8
Let y(r) = -8*r**2 + 5*r - 5. Let q be y(2). Let s be 34/9 - -1*(-6)/q. What is the greatest common factor of s and 4?
4
Let r be 3/((60/25)/4). Let c be (-4)/r*-1*(-90)/(-9). Calculate the highest common divisor of c and 32.
8
Suppose 3*u + 18 = 3*r, -r + 15 = -u + 3*u. Suppose -r*k = -709 - 380. What is the highest common divisor of 11 and k?
11
Let o be ((-9)/6)/(2/(-60)). Suppose k + 9 = o. What is the greatest common factor of k and 12?
12
Let m(b) = b**2 - 69*b - 368. Let j be m(74). Let i be 34*1*(4 + -3). What is the greatest common divisor of i and j?
2
Let o(c) = 11*c**3 + 7*c**2 - 2*c - 13. Let y be o(3). What is the highest common divisor of y and 93?
31
Let z = 18 + -18. Suppose -10 = -2*k, z = -2*h + 5*k - 10*k + 89. Let f = h + -20. What is the greatest common factor of 12 and f?
12
Suppose 15 - 6 = r. What is the highest common factor of 18 and r?
9
Suppose -w + 112 = 3*w. Let k = 184 + -44. What is the highest common divisor of w and k?
28
Let k be (1386/27)/(-11)*132/(-14). Calculate the highest common factor of k and 4.
4
Let w = 68 - 36. Let v be (5 + w/(-12))*3. Suppose 0 = 4*s + 3*c - 34, -3*s - 3*c + 27 = -0*s. Calculate the highest common factor of v and s.
7
Let i be 19/(133/(-14)) - -618. Calculate the greatest common divisor of i and 231.
77
Let c = -380 + 444. What is the greatest common divisor of 224 and c?
32
Suppose -4*h + 33*b + 5268 = 27*b, 2*h + 5*b - 2602 = 0. What is the greatest common factor of h and 138?
69
Suppose 101*c = 119*c - 71136. Calculate the greatest common factor of 76 and c.
76
Suppose 5*y + 9 - 4 = 0, -5*h - 3*y = -12. Suppose -o + 9 - h = 0. Suppose -o + 71 = 5*v. What is the highest common divisor of v and 143?
13
Suppose 0 = 4*g, g = 2*t - 4*t + 270. Suppose u - 81 = t. What is the highest common divisor of 27 and u?
27
Let s(t) = 4*t - 4. Let j(y) = 6*y**3 - 2*y**2 + 1. Let f be j(1). Let m be s(f). Calculate the greatest common factor of 8 and m.
8
Let j be -6 - (-4 - 136/8). Calculate the highest common divisor of j and 480.
15
Let o be (-1654)/(-10) + 2/(-5). Let r(p) = -100*p + 266. Let x be r(2). Calculate the highest common divisor of o and x.
33
Let h = 16 - 10. Suppose 0 = -h*y + y - 40. Let r(v) = -15*v - 12. Let u be r(y). Calculate the greatest common divisor of u and 12.
12
Let o = -20 - -33. Suppose 3*j = 7*v + 64, -4*j + 2*v = -8*j + 108. Calculate the highest common factor of o and j.
13
Let h be 1/2*2*7. Suppose -125 = 4*j - 453. Let x be (-4)/(-14) + j/h. What is the greatest common factor of x and 60?
12
Let f be -1*(1 + 2 - 7). Let z be -46 - 1/(f/(-4)). Let x be 2/15 + (-129)/z. Calculate the highest common divisor of 6 and x.
3
Suppose -b = -2*q - 2*q - 1008, -5*b + 4983 = -q. Calculate the highest common divisor of b and 12.
12
Let g(p) = -2*p**3 - 10*p**2 - 8*p - 11. Let c be g(-6). Suppose 19 = -5*w + c. Calculate the highest common divisor of 144 and w.
18
Let s be 914/6 + 12/18. What is the greatest common divisor of s and 255?
51
Suppose -1153 - 5707 = -14*s. What is the greatest common divisor of s and 10?
10
Suppose -5*z - 11 - 4 = -2*o, 6 = -2*z - o. Let i be 1/(-1) - (z - 3). Suppose 0 = -i*n - 0 + 1155. What is the greatest common divisor of 33 and n?
33
Suppose x = y + 900, -3*x - 163*y + 165*y = -2696. Calculate the highest common divisor of x and 14.
14
Suppose -149 = -5*o + 36. What is the highest common factor of o and 37?
37
Let x be 0/(3 + 1 + -2). Suppose x*s = -2*s + 14. Suppose -o + 21 - s = 0. What is the highest common divisor of o and 2?
2
Suppose 2*f + j = 86, 0*j + 94 = 2*f - j. Calculate the highest common factor of f and 60.
15
Suppose 7*o - 11*o - 16 = 0. Let d be o/(-4*(-4)/(-24)). Let l be d/8 + (-1047)/(-12). What is the greatest common factor of 11 and l?
11
Suppose -26*m = -21*m - 120. What is the highest common divisor of 132 and m?
12
Suppose 0 = 5*m + 3*y - 201, 2*y - 58 = -m - 22. Calculate the highest common divisor of m and 56.
14
Suppose 0*j - 3*j = -33. Suppose -j - 13 = 4*l + 4*t, 5*t - 15 = 4*l. Let s be (-17)/l + 9/15. Calculate the highest common factor of 20 and s.
4
Let h(f) be the third derivative of 0*f - 5/3*f**3 + 1/2*f**4 + 8*f**2 + 0 - 1/60*f**5. Let w be h(8). Calculate the highest common factor of w and 88.
22
Suppose 0 = 3*l - 5*c - 43 - 190, -5*l - 2*c + 347 = 0. What is the highest common divisor of l and 71?
71
Suppose 4*f - 8*i + 3*i = 156, 4*f + 5*i - 196 = 0. Let b = -38 + f. Suppose 2*l + 40 = b*l. Calculate the greatest common factor of 2 and l.
2
Let x be (3366/255)/(-3 - (-454)/150). Calculate the highest common divisor of 110 and x.
55
Let o be 25 + -3 - (-4 + 5). Let q(m) = -m**2 + 24*m + 12. Let h be q(9). Calculate the highest common factor of o and h.
21
Let f(d) = -d**2 - 7*d + 21. Let h be f(-18). Let g = -60 - h. What is the highest common divisor of 13 and g?
13
Suppose -70*j + 1044 = -916. What is the highest common divisor of j and 588?
28
Let d(u) = 3*u + 12. Let b be d(-5). Let i(l) = -51*l + 9. Let c be i(b). Calculate the highest common divisor of 18 and c.
18
Let c = 3 - -2. Suppose -c*k + 27 - 2 = 0. Let v(b) = -b + 8. Let n be v(-17). Calculate the highest common divisor of n and k.
5
Let d be (-682)/(-7) - (-108)/189. Calculate the highest common divisor of 126 and d.
14
Let s = -2013 - -2057. Calculate the highest common divisor of 176 and s.
44
Let y be 13 - (-2*(-8)/(-4) - -4). What is the greatest common factor of y and 741?
13
Suppose 43 = -3*u + 2*y + 2*y, 4*u + 104 = -4*y. Let a = -13 - u. Let j = -29 + 117. Calculate the highest common factor of j and a.
8
Let k be (-5 - -13)/(6/3). Suppose 6*u - k*u - 38 = 0. Calculate the greatest common divisor of 171 and u.
19
Suppose -1 = n + 2*b + 12, -n - b = 9. Let u(z) = z**2 + 5*z + 1. Let v be u(n). Let s be ((-36)/30)/(v/(-5)). What is the highest common divisor of 24 and s?
6
Let t(x) = -x**2 - 22*x - 59. Let i be t(-15). Calculate the greatest common factor of 483 and i.
23
Let j(l) = -l**3 + 10*l**2 - l - 39. Let x be j(9). Calculate the greatest common factor of x and 253.
11
Suppose 2 + 3 = -z, 3*z = -3*q + 1068. What is the greatest common factor of 19 and q?
19
Suppose -464 = 592*o - 600*o. Calculate the greatest common divisor of 203 and o.
29
Suppose -10 = v - 6*v. Suppose 43 = 5*q + 3*j, -