ppose -l*x + x = -6. Calculate the greatest common factor of x and 12.
6
Suppose -3*n + 49 = -2*n + d, -5*d = 4*n - 197. Calculate the highest common factor of n and 64.
16
Let h(x) = x**2 - 6*x - 1. Let l be h(7). Let b = -5 + l. Let s be (-2 - b)/((-2)/16). What is the greatest common divisor of 216 and s?
24
Let a(z) = -2*z**3 - 6*z**2 + 8*z + 3. Let x be a(-5). Suppose -36*c - x = -37*c. What is the highest common factor of c and 9?
9
Suppose 4*p - 9 - 7 = 5*m, -2*m = 4*p - 16. Let r be 0 + (0 - p) + 208. Calculate the highest common factor of r and 34.
34
Let m(s) = -2 - 2*s + 5*s + 11 - 2*s. Let h be m(0). Let l = -20 + 29. Calculate the greatest common divisor of h and l.
9
Let c(n) = -29 + 17 + 13 + 0*n - n. Let m be c(-2). Suppose 2*g + 37 = 5*k, 0 = 2*k + m*g - g - 26. What is the highest common factor of k and 81?
9
Suppose 8 + 3 = i. Suppose -i - 6 = -2*w - 3*r, 0 = -2*w + 5*r + 9. Calculate the greatest common factor of 77 and w.
7
Suppose 36*s - 26*s = 800. What is the greatest common divisor of s and 32?
16
Let o = -535 + 545. Let z = -5 - -1. Let v = 0 - z. What is the highest common factor of o and v?
2
Let s(t) = -30*t - 115. Let z be s(-5). Let w(y) = 6*y - 4. Let g be w(3). What is the highest common divisor of z and g?
7
Suppose -z = 5, -p - 3*z = -0*p + 12. Suppose 15 + 15 = p*u. Calculate the highest common divisor of 10 and u.
10
Let l(i) = -27*i - 36. Let j = -87 - -83. Let r be l(j). What is the highest common factor of r and 48?
24
Let t(k) = -k**3 - 8*k**2 + 12*k - 18. Let u be t(-10). Suppose 4*f - x = -2*x + u, 0 = -f + x + 13. Calculate the highest common factor of 15 and f.
15
Let n = 49 - 46. Suppose -4*m - d + 71 = 0, n*m + 2*d = -3*d + 32. Suppose 3*s - 4 = 53. Calculate the highest common divisor of m and s.
19
Suppose 12*v + 7084 = 89*v. Calculate the greatest common divisor of 1748 and v.
92
Let v be (7/(-21))/((-2)/96). Let n = -7 + v. What is the highest common factor of n and 81?
9
Let r = -2681 - -2687. Suppose 2*y = 3*d - 3, -6*d = -d + 2*y + 11. Let t(v) = 3*v**2 + 2*v + 1. Let z be t(d). What is the greatest common divisor of z and r?
2
Suppose -247 = -9*n + 248. Let p = 20 + n. Calculate the greatest common divisor of 15 and p.
15
Let c(n) = 0 - 3*n + 5 - 73*n**3 + 72*n**3 - 4*n**2 + 1. Let o be c(-6). Calculate the highest common divisor of o and 12.
12
Let o(k) = -2*k**2 + 34*k - 10. Let t be o(16). Suppose -7*j = -9*j + 396. What is the highest common divisor of t and j?
22
Let a = -43 + 63. Let x = 28 - a. Let h = x - 3. What is the greatest common divisor of 55 and h?
5
Let c(x) = 141*x + 22*x**3 + 137*x + 1 - 280*x + 2*x**2. Let l be c(1). What is the greatest common divisor of 69 and l?
23
Suppose -5*k - p + 1460 = 385, 5*k = 3*p + 1095. What is the greatest common factor of k and 324?
108
Suppose 0*d - d = -3*t + 568, -3*d + 196 = t. Let s = 56 - -20. Calculate the highest common factor of t and s.
38
Let m(c) = -c**2 - 3*c + 5. Let r be m(-3). Let f(q) = 14*q + 5. Let p be f(r). Calculate the greatest common divisor of p and 30.
15
Let y(o) = o - 4. Let g be y(2). Let f be (-17)/(g + 15/9). Calculate the highest common factor of 17 and f.
17
Let d be (35 - (5 + -8))*2. What is the greatest common divisor of d and 19?
19
Suppose -2*t + 9 + 3 = 0. Let s = t - -26. Suppose 2*d + 5*k - s = 0, d - 18 = -2*k - 3. What is the greatest common factor of d and 11?
11
Suppose -n = -a - 58 - 35, 4*a = 5*n - 460. Suppose -146 = -2*f + n. Let d be 1/(3/f) + -3. What is the greatest common divisor of 24 and d?
12
Let n = 108 - 99. Let l be (-120)/18*n/(-5). What is the highest common divisor of l and 36?
12
Let b = -7 - -11. Suppose 0*l - 5*n + 285 = 3*l, 348 = b*l - 4*n. What is the highest common factor of l and 10?
10
Suppose 3*d = -16 + 148. Suppose 150 = 3*i - 3*l, -4*i - 2*l + d = -3*i. Let r be 16/1 + (-2 - -2). What is the greatest common divisor of r and i?
16
Suppose -j - 4 + 10 = 0. Let m(y) = 34*y + 49. Let t be m(j). Calculate the greatest common divisor of t and 23.
23
Suppose 35*n = -62*n + 8730. What is the highest common factor of n and 405?
45
Let j = -71 - -122. Calculate the greatest common factor of 969 and j.
51
Suppose 4*v + 4*p = 8, 3*v - 5 = 4*p + 1. Let z = -27 + 30. Suppose 2 = -u + 3*q - 3, -3*q - z = -3*u. Calculate the highest common factor of v and u.
2
Suppose 3*o + 6*o - 90 = 0. Let k be (-12)/(-3 - -1)*(-9 + o). Calculate the highest common factor of k and 2.
2
Suppose r + 251 = 5*n, -n + 4*r = 4*n - 254. Let k = n + -27. Calculate the greatest common divisor of k and 184.
23
Let o(v) = -17*v - 49. Let x be o(-4). What is the greatest common factor of 133 and x?
19
Suppose -g - 30 = -6*g. Let m(d) = 2*d**2 - 7*d - 10. Let q be m(g). Let u be 2/(-8) - 402/(-8). What is the greatest common divisor of u and q?
10
Let q be 13*(-1 + 0)*-1. Suppose -7 = -2*h + 1. Suppose l - 5 = -5*u + 21, h*u - 130 = -5*l. What is the greatest common factor of q and l?
13
Suppose -6*b + 4*b - 5*p = -92, -4*p + 160 = 4*b. Calculate the highest common factor of 48 and b.
12
Let y(k) = 2*k**2 - 7*k + 14. Suppose 2*b - 8*b = -36. Let l be y(b). What is the highest common divisor of 33 and l?
11
Let q = 80 + -44. Let l(o) = -4 + 1 + 1 - 12*o + q*o. Let k be l(1). Calculate the greatest common factor of k and 33.
11
Suppose -4*s + 15 + 29 = 0. Let l = 13 - s. Suppose -l*a = -7*a + 60. What is the greatest common divisor of a and 6?
6
Suppose 6 = y + 1. Let l(p) = -p**3 - 3*p**2 - 348*p - 1368. Let a be l(-4). What is the greatest common divisor of y and a?
5
Let t = 4 - 0. Suppose -t*d = 3*c + 43, 1 + 4 = d. Let v = c + 39. Calculate the highest common factor of v and 27.
9
Let x = 414 + -294. What is the highest common factor of 680 and x?
40
Suppose -4*v + 8 + 20 = 4*w, 3*w - 45 = 5*v. Calculate the greatest common factor of 125 and w.
5
Let g = -27 + 107. Suppose -34*u = -13*u - 420. What is the highest common divisor of u and g?
20
Let n = -7 - -12. Suppose n*m = -4*t - 10, 5*m + 20 - 5 = -5*t. Suppose m*o - 17 = o. What is the greatest common factor of o and 85?
17
Suppose 4 = 3*v - 4*r, 5*r - 7 - 11 = -2*v. Calculate the greatest common divisor of v and 128.
4
Let l = -83 - -159. What is the highest common divisor of 380 and l?
76
Suppose 0 = 5*v - 10, -g - 8 + 4 = -v. Let i be 1*g*5/(-10). Suppose 0 = -24*a + 18*a + 30. What is the greatest common factor of i and a?
1
Suppose -5*s - 37 = -6*s. Suppose c = 3*g + s, 2*c = -5*g + 22 + 19. Let k be 3/(-2)*c/(-6). Calculate the greatest common factor of k and 1.
1
Let h = -916 - -1061. Calculate the greatest common divisor of h and 87.
29
Let z(x) = -x**3 + 53*x**2 + x - 41. Let j be z(53). What is the highest common divisor of 102 and j?
6
Let a(o) = 26 + 18 - 14*o - 12 - 1. Let t be a(-7). Calculate the highest common divisor of 43 and t.
43
Let g be 4/(-12) + (-5)/3 + 3. Calculate the greatest common factor of 4 and g.
1
Suppose -7*n + 9*n + 2*f = 70, 4 = -4*f. Calculate the greatest common factor of 8 and n.
4
Suppose -6*s = -34 - 2. What is the highest common divisor of 36 and s?
6
Let k = -35 - -83. Let p be (12/18)/(12/576). What is the highest common factor of k and p?
16
Let z be 6*-1 - (-1976 + -107). What is the greatest common factor of 67 and z?
67
Suppose -5*s = -2*m - 3*s + 4, -4*m + 2*s = -10. Suppose 0 = -2*z + m*z - 22. Suppose 78 = 5*l - z. Calculate the highest common factor of 2 and l.
2
Suppose 4*f - 20 - 104 = 0. What is the highest common divisor of f and 1?
1
Let q be (-8)/(-14) - 376/(-28). What is the highest common divisor of 133 and q?
7
Let k(h) = h**3 - 4*h**2 + 4*h + 7. Let g be k(5). Let f = g + -51. Calculate the greatest common factor of f and 2.
1
Suppose -4*c = -3*c - 40. Let s be ((-3)/5)/((-1)/5). Suppose s*w - 36 = 12. What is the greatest common factor of c and w?
8
Let t be 531/(-15) + 2 + (-32)/20. Let m = -10 - t. What is the greatest common divisor of m and 10?
5
Let b be (-3)/(-2) - (-2 - 15/(-6)). Let o be b*-2 + (12 - 1). What is the highest common factor of o and 9?
9
Let o = 21 + -20. Let g be 86/2 + (o - 2). Calculate the greatest common factor of g and 6.
6
Let m(s) = -2*s**2 + 94*s - 78. Let f be m(46). Calculate the greatest common divisor of f and 966.
14
Let q = 91 + -157. Let j = q + 1