 m = 5 + -20. Let y = m - -102. Let d = -23 + y. Calculate the highest common factor of 8 and d.
8
Suppose 0 = -3*k + 22*k - 1976. Let h = 128 - k. Let g = 6 + 6. Calculate the greatest common divisor of h and g.
12
Suppose -z = 4*w - 19, -5*w = -2*w + 4*z - 11. Let x(k) = -6*k + 51. Let f be x(7). Suppose -257 = -f*q + 238. What is the greatest common factor of w and q?
5
Suppose -13*q + 22 = 22. Suppose q*m = 4*x - 2*m - 8, -5*x - m = -10. What is the greatest common factor of 2 and x?
2
Let l = 93 - 95. Let u be 27 - (5 + (-8 - l)). What is the greatest common factor of 196 and u?
28
Suppose 3*d - 52 = 32. Suppose -2*a + 8*l = 4*l + 6, 4*a - 3*l = -12. Let j be 310 - (1 + (a - (0 - 4))). Calculate the greatest common factor of d and j.
28
Let f(j) be the first derivative of j**4/4 - j**3/3 - 3*j**2 + 2*j - 17. Suppose 0 = 5*v + v - 30. Let k be f(v). What is the highest common divisor of k and 8?
8
Suppose 5*k - 2*u = 65 + 13, 0 = -5*u + 30. Calculate the highest common divisor of k and 3438.
18
Let h = 23024 - 9395. Calculate the greatest common divisor of 99 and h.
33
Suppose -5*l + 385 = -0*l - 4*o, -2*l - o = -167. Let n(g) = -245*g**2 - 1230*g - 16. Let w be n(-5). What is the greatest common divisor of l and w?
9
Let h be (-2 - -3)*34 - (-2760)/(-460). What is the greatest common factor of h and 176?
4
Let w = -19 - -22. Suppose 4 = 793*x - 791*x. Suppose -x*h = w*h - 15. What is the greatest common divisor of h and 2?
1
Let q(f) = -5*f**2 + 8*f + 8. Let k be q(-6). Let g = 266 + k. Calculate the greatest common factor of 92 and g.
46
Suppose -493*o + 74889 = -387*o - 69271. Calculate the highest common factor of o and 100.
20
Suppose -5*s + s + 12 = 0. Suppose 0*q = -p - q - 58, s*p - 2*q = -179. Let y = -50 - p. Calculate the greatest common factor of 54 and y.
9
Suppose -2*u - 1 = -11, 7 = -2*r + 3*u. Suppose -r*y - 3*b - 255 = y, 3*b - 33 = y. Let v = 128 + y. What is the highest common divisor of 32 and v?
16
Let k be (-14619)/(-75) - 404/(-5050). Let y = 45 - 6. Calculate the greatest common factor of k and y.
39
Suppose 5*u - 10*u = -190. Suppose -7*x + 10 = u. Let y(f) = 5*f + 27. Let n be y(x). Calculate the greatest common divisor of n and 21.
7
Let d = -15138 - -15225. What is the highest common factor of d and 2059?
29
Let y(p) = p**3 + 15*p**2 - 496*p + 24. Let q be y(16). What is the greatest common factor of 1380 and q?
12
Let v(g) = -4*g**3 + 86*g + 172. Let x be v(-2). What is the highest common factor of x and 56?
8
Let j = 2282 - 1426. Calculate the greatest common factor of j and 535.
107
Suppose x - 4*x + 195 = 0. Suppose -295 + 433 = 2*j. Let u be -37 + j + -2*3. What is the greatest common divisor of u and x?
13
Suppose 0 = 4*r + 12, -2*w + 30 = 2*r. Suppose -21*p - 32*p = -41*p - 432. What is the highest common divisor of p and w?
18
Let r be (3 + (-3 - -12))*2/4. Let j be (r/30 + -1)*-60. Let b(o) = 2*o**2 + 8*o. Let g be b(-6). What is the greatest common factor of g and j?
24
Let w(n) = -20*n - 1151. Let p be w(-60). What is the greatest common divisor of 4361 and p?
49
Let t be (-24)/(-36) - 76/(-12). Let d be (t - 1) + -6 - (-98 - 2). What is the greatest common divisor of 1100 and d?
100
Let n(a) = a**3 - 8*a**2 - 13*a + 36. Let d be n(9). Let v be (d - (-110)/25)*40. Calculate the greatest common divisor of v and 66.
22
Suppose -2*r + 7 = -3*a, -43*r + 3*a - 28 = -48*r. Calculate the highest common factor of 9430 and r.
5
Let q be ((-5)/10)/((-2)/(-8)). Let x be ((-90)/((-4)/q))/(-1). Let h be ((-720)/(-5))/(-1 - 14/(-10)). Calculate the highest common factor of h and x.
45
Suppose 6*j = 2*j + 7308. Let p be ((-29)/(j/(-54)))/((-2)/(-28)). Calculate the greatest common factor of p and 192.
12
Suppose 7*p - 7*p + 21216 = 52*p. What is the highest common factor of 1584 and p?
24
Let o(x) = x**3 - 7*x**2 + 2*x - 148. Let m be o(10). What is the greatest common divisor of m and 36?
4
Let w(r) = 5*r**3 - r - 3. Let n be w(-3). Let c = -80 - n. Suppose 5*x - 12 = -u + 9, -x + 2*u + 13 = 0. What is the greatest common factor of x and c?
5
Let r = -313 - 223. Let u = 543 + r. Calculate the greatest common divisor of u and 112.
7
Let i be (((-1680)/(-189))/40)/(2/288). Let u(d) = 12*d**2 - d + 1. Let x be u(-3). What is the greatest common factor of x and i?
16
Let h be (99/48)/((-24)/32)*-2*492. Calculate the greatest common divisor of h and 77.
11
Let u = 1049 - -2576. What is the highest common factor of u and 375?
125
Let s = -43 + 2891. Calculate the highest common factor of 89 and s.
89
Let d be 4 + 1111/(-110) + (-2)/(-20) + 16. Suppose -2*p - 4 = -114. What is the highest common divisor of p and d?
5
Let r = 2549 + -2531. Calculate the greatest common factor of 38 and r.
2
Let f = 3520 + -1312. What is the greatest common divisor of 384 and f?
96
Let w = -612 + 618. Let c be 32 + (-12)/18*w. Calculate the greatest common divisor of 140 and c.
28
Suppose 3*y = -m - 42, 5*y = 5*m - 0*m + 290. Let i be (-177)/(-9) + (-72)/m. Calculate the greatest common factor of i and 273.
21
Let s(p) = 90*p**2 + 47*p - 3 - 11*p - 20*p - 13*p. Let b = -16 + 17. Let o be s(b). Calculate the highest common divisor of 9 and o.
9
Suppose 9*x + 1731 = -1707. Let p = -373 - x. What is the highest common factor of p and 126?
9
Let c(z) = 219*z**2 + 64*z - 38. Let a be c(3). What is the greatest common factor of a and 750?
125
Suppose -24 - 4 = -7*b. Let q = 16341 + -15841. What is the highest common divisor of b and q?
4
Let f(s) = 168*s + 161*s + 163*s + 33 - 494*s. Let k(u) = 2*u**2 + 2*u. Let v be k(-3). Let r be f(v). What is the highest common factor of 171 and r?
9
Let d(g) = -8*g. Suppose 6*p + 55 = p. Let q be d(p). Let i = 232 - 224. Calculate the greatest common factor of q and i.
8
Let f = -2369 + 2561. Calculate the greatest common factor of 672 and f.
96
Let r be (-6)/(-10) + (-468)/(-195). What is the greatest common factor of 360 and r?
3
Let y = -64 + 112. Suppose -12 = -4*v + y. Let t be (-5)/(-15) + 29/3. Calculate the greatest common divisor of v and t.
5
Let b(d) = -d + 2. Let y be b(3). Suppose 0 = 3*s - 4171 + 4189. Let q be (y/(-1) - s)*1. Calculate the greatest common divisor of 7 and q.
7
Suppose 16 = 2*v - 0. Suppose -180 = 662*k - 707*k. Calculate the greatest common divisor of k and v.
4
Let u(p) = 2*p**3 - 10*p**2 + 7*p + 5. Let l be u(4). Suppose -16 - 204 = 4*c. Let t be l/5*-2 + (-9427)/c. What is the greatest common factor of t and 19?
19
Let k be -10*252/(-35) + 5. Suppose 0 = 2*t + 2*t - 256. Suppose 0 = -k*d + 76*d + t. What is the highest common divisor of 16 and d?
16
Let a be (3 + -3 - 6)*(-105)/126. Suppose 3*h + k - 195 = 6*k, a*h - 4*k - 338 = 0. What is the greatest common factor of 20 and h?
10
Suppose -7*x - 2*y + 8 = -2*x, 4*y = -3*x + 2. Suppose x*v = 3*v - h, -v + 2*h = 1. Let b be 2/4*10 + 0. What is the greatest common divisor of b and v?
1
Let j = -249 - -242. Let t be 20 + ((-4)/3 - j/3). Calculate the highest common divisor of t and 7.
7
Let l(k) = 6*k**2 - 47*k + 58. Let v be l(13). Let f = v - -268. What is the greatest common factor of f and 9?
9
Suppose 9*h - 37676 + 37514 = 0. What is the greatest common divisor of h and 111?
3
Let c(r) = 914*r**2 + 50*r + 130. Let x be c(-4). What is the highest common factor of x and 38?
38
Let j be 2/((-15)/(-12)*8*2/800). What is the greatest common divisor of 410 and j?
10
Suppose -60*q - 9 = -63*q, -7*d - 3*q = -2361. Calculate the greatest common factor of 1428 and d.
84
Let o be (0 - -1241 - 2)*((-18)/54)/(-1). Calculate the greatest common divisor of 56 and o.
7
Let l(k) = 55*k**2 + 20*k + 125. Let s be l(-5). What is the greatest common divisor of s and 80?
40
Let u(v) = -6*v - 5. Let q be u(-5). Let l be 1878/6 - (-25)/(175/84). Calculate the highest common divisor of q and l.
25
Suppose 1367*q = 1335*q + 2080. What is the greatest common divisor of 2405 and q?
65
Let w be (-11)/(-22)*(10 - 2) - 2. Suppose -m = w*p - 7*p + 8697, 0 = 3*p + 5*m - 5207. What is the greatest common factor of 47 and p?
47
Let r be (112/(-84))/((-2)/6). Let q be (-276)/(-15) - r/10. Let c be ((-3)/2)/(4/(-16)). Calculate the greatest common factor of q and c.
6
Suppose 50 = 2*i - 5*f, -2*f = -3*i + f + 57. Suppose -25*b = -i*b - 200. Calculate th