
21
Suppose j + 10 = 5*n, -n - 65 = -4*j - 2*n. Suppose 0*p - 5*p + j = 0. Calculate the highest common divisor of 9 and p.
3
Suppose 0 = d - 4*a - 61, 6*d - 3*d + 5*a = 115. Suppose 0 = -20*l + d + 115. Calculate the greatest common divisor of 8 and l.
8
Suppose -49*s = -52*s - 462. Let r = -146 - s. What is the highest common factor of r and 216?
8
Suppose -6*j - 216 + 3816 = g, 3*j + 10800 = 3*g. What is the greatest common divisor of g and 240?
240
Suppose 32*k = 11*n + 31*k - 8564, -k = -5. Suppose i + 3*i - 76 = 0. What is the highest common divisor of i and n?
19
Let g be 1 - (0 + 0 + 55). Let y be (1/1)/((-3)/g). Let t(k) = -2*k**3 + 118*k**2 + 120*k + 36. Let q be t(60). Calculate the highest common divisor of y and q.
18
Suppose 8*o = 1043 + 877. Suppose -7*i + 144 - 39 = 0. Calculate the highest common factor of i and o.
15
Let r(l) = 2*l**3 - 48*l**2 + 6*l - 133. Let t be r(24). Calculate the highest common divisor of t and 3971.
11
Suppose 108*b = 111*b - 5*s - 547, 4*b - 2*s = 734. What is the highest common divisor of 56 and b?
8
Let n(y) = 125*y + 508. Let o be n(-4). Suppose 3*f - 5*q = -12 - 5, -q + 4 = 0. What is the highest common divisor of o and f?
1
Suppose -33669 = -40*l - 89*l. Calculate the highest common factor of 5307 and l.
87
Let o = 5338 + -5257. Calculate the highest common divisor of 234 and o.
9
Let f = -30 + 58. Suppose 0*n - 4*n = 4*y - 1476, 2*y - 718 = 2*n. What is the greatest common divisor of f and y?
28
Let c(i) = 33*i + 171. Let f be c(-5). Calculate the highest common factor of f and 50.
2
Suppose -y + 4*k - 74 = -239, -4*y - 2*k + 570 = 0. What is the highest common factor of y and 1421?
29
Let k = -881 + 1469. Suppose 20*w = 24*w - k. Calculate the greatest common divisor of w and 3.
3
Let z = -396 + 118. Let g = 453 + z. Calculate the highest common factor of 14 and g.
7
Let z = 49 + -47. Let m be (-1032)/43*(-7)/z. Calculate the highest common factor of 24 and m.
12
Suppose -28*x + 100 = -3*x. Suppose x*r = 6*w - w + 457, 487 = 4*r + 5*w. What is the greatest common factor of 177 and r?
59
Let p(f) = 67 - 11*f + 0*f + 12*f - f**2 - 12*f. Let x be p(-15). Suppose l + 37 = q, 109 = 2*q + q - 2*l. What is the highest common factor of x and q?
7
Let s(t) = t**3 + 18*t**2 + 18*t + 21. Let a be s(-17). Let q be 6/4*(80/6 + a). Let r = 79 + -40. Calculate the highest common factor of r and q.
13
Let x(g) = 19*g**2 - 608*g + 45. Let r be x(36). What is the greatest common factor of 412 and r?
103
Let n(g) = -7*g + 4735. Let k be n(10). What is the highest common divisor of 90 and k?
15
Let b = 627 + -231. Let o be b*(50/30 + -1). What is the greatest common factor of 12 and o?
12
Let q(h) = 3*h**2 - 5*h + 20. Let u be q(6). Suppose 0 = -n + 2*y + 30, -2*y + 0*y - 2 = 0. Calculate the highest common factor of u and n.
14
Suppose -5*r = -23 - 2, 0 = 2*w - 2*r + 26. Let k be (-340)/w*8/5. What is the highest common divisor of 1224 and k?
68
Let i be (204 - -16)*(0 + (-6)/(-15)). Let r be -2 - (-77 + (-54)/(-6)). What is the highest common divisor of i and r?
22
Let l(j) = 158*j - 2881. Let y be l(40). Calculate the greatest common divisor of y and 362.
181
Suppose -6*c = -8*c - 2*w + 136, 0 = 5*c - 2*w - 368. Let a be (-13)/(195/c)*(-120)/9. What is the greatest common factor of a and 48?
16
Let f be (6 + -183 + 7)*(44/(-10) - 6). Calculate the highest common factor of 136 and f.
136
Suppose 7*y - 18 = 2*f + 2*y, 2*y = -5*f + 13. Let r be (-2 + 18)/(f/4). Calculate the highest common divisor of 8 and r.
8
Let j = 218 - 77. Let u be (5/1 + -4 + j)*4. Suppose 0 = 4*o + 5*c - 660, -4*o + c = -116 - u. Calculate the highest common factor of 68 and o.
34
Let g = 71 - 59. Let k be (-50)/(-8) + 3 + (-39)/g. What is the highest common divisor of k and 102?
6
Let m(h) = 80*h + 290. Let j be m(-2). What is the greatest common divisor of j and 806?
26
Let u = 2889 + -2867. What is the highest common factor of u and 583?
11
Let d = 6 - -183. Let x be -18*(-10)/(-50)*10/(-4). Let b be (x/15)/((2/(-70))/(-1)). Calculate the highest common factor of d and b.
21
Let g(d) = 8*d**2 - 12*d - 31. Let y be g(-7). Suppose h - y = -2*k, 4*h = 6*k - 3*k - 695. What is the greatest common factor of 50 and k?
25
Let q = 8 + -5. Let g(a) = a**2 + 17*a + 19. Let y be g(-8). Let m = -29 - y. What is the highest common divisor of q and m?
3
Suppose 0 = -6*w + 119 - 1235. Let r = w + 254. What is the highest common factor of 17 and r?
17
Let k be ((-2)/(-3))/(163/28362). Suppose -5*u + 409 = -606. Calculate the highest common divisor of k and u.
29
Suppose -44635 - 568643 = -54*m. What is the highest common factor of m and 41?
41
Let c = -24340 - -24454. Calculate the highest common factor of 21 and c.
3
Suppose 0 = 4*r + t - 423, 5*t + 57 = -5*r + 567. Let x = r + -83. What is the greatest common divisor of 552 and x?
24
Suppose 0 = -5*b - 5, -20*z + 2*b - 16 = -21*z. Calculate the highest common factor of 324 and z.
18
Let f = 8542 - 8334. What is the greatest common factor of f and 2548?
52
Suppose 531*k - 1710 = 493*k. Suppose -3*m + 0*m + 81 = 0. Calculate the highest common divisor of m and k.
9
Let z be (-5182)/(-2 + 3)*(20 - 26). What is the greatest common factor of 12 and z?
12
Let k(r) be the second derivative of -r**3/6 + 51*r**2 + 20*r + 2. Let n be k(22). Calculate the greatest common divisor of n and 8.
8
Let z be (65/(-5) + -160)*(-1 - 134). Calculate the greatest common divisor of 135 and z.
135
Suppose 115*u = 71*u + 384472. What is the greatest common factor of u and 34?
34
Let m(k) = 3*k + 30. Let j be m(-9). Let q be -5 - -16*(4 - j). Let l be (-46)/(-8) - q/(-44). Calculate the greatest common divisor of 54 and l.
6
Let x = -8607 + 8625. Calculate the greatest common factor of 10782 and x.
18
Let s = 6963 - 6921. Calculate the greatest common factor of s and 3374.
14
Let q be 4452/9 - -2 - (-22)/(-33). Suppose 2*x = -v - 4*v + 52, -3*x - 4*v = -85. What is the greatest common factor of x and q?
31
Suppose -1247*v + n = -1242*v - 1546, 0 = 4*v - n - 1236. Suppose l + b = 2*b + 18, 0 = 4*l + 4*b - 88. Calculate the highest common divisor of v and l.
10
Let m = 6049 - 5972. What is the greatest common factor of m and 165?
11
Let n be (-3)/(-2) - (2865/(-30) - -1). Suppose -3*z = -0*z - 48. Let m be ((-18)/(-6))/(2/z). Calculate the highest common factor of m and n.
24
Let o be ((-248)/(-16) - 14)*5222. What is the highest common factor of 42 and o?
21
Let n(f) = 4*f + 2. Let w be n(2). Suppose -3*a + 870 = 4*l, 19*l + 1160 = 4*a + 22*l. Calculate the highest common divisor of a and w.
10
Let x be 18/(-45)*10/(6/3). Let k be 37/37*(x + 1)*-1. What is the highest common factor of k and 4?
1
Suppose -18*q = 88 - 196. Calculate the greatest common factor of q and 14.
2
Suppose -239 - 17 = -4*m. Let x(n) = 4*n + 120. Let l be x(-29). Let z = l - -12. What is the greatest common factor of m and z?
16
Let g(t) = -8*t + 33*t + 6 + 10*t + 19*t. Let m be g(1). Calculate the greatest common divisor of m and 165.
15
Let s(f) = 5*f + 132. Let d be s(-26). Let u be (34 - (-1 - d)) + -7. What is the highest common divisor of u and 390?
30
Let p(w) = -2*w**3 + 89*w**2 - 10*w + 489. Let x be p(44). What is the highest common factor of 5 and x?
5
Suppose 0 = -45*s + 36325 - 14185. Let w be (21 + -3)/(6/4). Calculate the highest common divisor of w and s.
12
Let u = 21309 + -21305. What is the highest common factor of u and 4724?
4
Let p be ((-216)/162)/(1*1/(-6)). What is the highest common divisor of p and 92?
4
Suppose -4*z + 8 = -x - 16, -4*z - 5*x + 24 = 0. Suppose 0 = -z*c + 4*c + 450. Calculate the highest common divisor of c and 100.
25
Suppose 0 = -2*x + 34 - 6. Let l = x - -49. Let j = -35074 - -35095. Calculate the highest common factor of j and l.
21
Suppose 3*k - 2*v = -2*k + 1601, -5*k - 2*v = -1609. Suppose -49*b = a - 45*b - 81, -b - k = -5*a. Calculate the greatest common factor of a and 195.
65
Let l be (-34)/(-10) - 36/(-60). Suppose -l*u - 4*f + 76 = 0, 0*f - 5*f + 47 = 2*u. Suppose c = -c + u. Calculate the highest common divisor of 88 and c.
8
Let s = -2887 + 2905. Let l(k) = -2*k + 117. Let g be l(0). Calculate the highest common factor of s and g.
9
Suppose 0 = 4*j - 5*v - 17, -j - 4*j = -4*v - 19. Suppose -a