6
Let v(u) = -u**3 - 4*u**2 + 6*u + 9. Let o be v(-5). Suppose -13*x + 2709 = -o*x. Calculate the highest common divisor of 43 and x.
43
Suppose 153 = 6*l - 111. Calculate the highest common divisor of 572 and l.
44
Let t(y) = -285*y + 2. Let j be t(-1). Let x = 134 - 93. Calculate the greatest common factor of x and j.
41
Suppose 3*x - 2*m - 52 = x, 2*m + 30 = x. Suppose -462 = -9*b + 3*b. Calculate the highest common factor of x and b.
11
Suppose 172 = 3*v - 3*x + 28, -2*x = 6. Let h be (-86 - -85)/((-1)/(136 - 1)). What is the greatest common divisor of v and h?
45
Let r = 190 + -130. Let o be (-4 - -1)/1 - (-41 - 0). Suppose 37*w + 90 = o*w. Calculate the greatest common factor of w and r.
30
Suppose 0 = 4*u + 8, -2*u - 144 = -4*w + 2*u. Let t be 6036/120 - (-6)/(-20). Let f = t + w. Calculate the highest common factor of 12 and f.
12
Let k be (-55)/(-25) - ((-32)/(-10) - 3). Suppose -7*r = k*f - 5*r - 6, 2*f - 6 = -5*r. What is the greatest common divisor of f and 3?
3
Let v(m) = m**3 - 7*m**2 + 15*m + 1. Let o be v(6). Suppose 57*r = o*r + 256. Calculate the greatest common divisor of 8 and r.
8
Suppose g + 58 = 7. Let t = 21 - g. Suppose f - l - 16 = -0*l, 2*l + t = 4*f. What is the highest common divisor of f and 10?
10
Let v be ((-133)/(-38))/((-1)/(-12)). Calculate the greatest common divisor of v and 30.
6
Suppose -i = 16 - 548. Calculate the highest common divisor of i and 28.
28
Let h be (1 + 2)*2/6*92. Calculate the highest common factor of h and 20.
4
Let f(d) = -2*d**2 - 21*d + 2. Let w be f(-7). Suppose 4*y - 171 = -w. Calculate the greatest common divisor of y and 6.
6
Suppose 8*j = 16*j - 1840. What is the highest common divisor of j and 184?
46
Let j be (4 - 1) + 349 + 1. Suppose 601 + j = 3*v. Suppose -3*k + z = -239, -4*k + 0*z + 2*z = -v. Calculate the highest common factor of k and 20.
20
Suppose q + 7 = 3*n, -2*n = 3*n + 3*q - 7. Suppose 0 = -n*c + c + 5. Calculate the highest common divisor of c and 40.
5
Let a(o) = -o**2 + 4*o + 11. Suppose -69 = -5*x - 19. Let s be a(x). Let v = 89 + s. What is the greatest common divisor of 5 and v?
5
Suppose -1278 - 581 = -11*k. Let l = 253 - k. What is the highest common divisor of l and 12?
12
Let u(p) = -p**2 - 4*p - 1. Let x be u(-3). Let n be (-52)/6 + x/3. Let t be -8*(-1 - (-52)/n). Calculate the highest common factor of t and 15.
15
Suppose -4*g = -233 - 55. Let b be 8*(-1)/(1 - 2). Calculate the highest common factor of b and g.
8
Let h = -1329 - -1345. What is the greatest common divisor of h and 6?
2
Let u = -2514 + 2522. What is the highest common factor of u and 268?
4
Suppose 2*g - g + 13 = 0. Let p = g - -37. What is the greatest common divisor of p and 3?
3
Let c = -182 - -255. Let h be (-17)/(-5) - 4/10. Suppose 0*x + 4*u + 68 = 2*x, -2*x + c = -h*u. Calculate the highest common factor of 22 and x.
22
Let n be (-41)/((8 + -7)/(0 - 1)). Let h = -61 - -102. Calculate the highest common factor of h and n.
41
Let d be 0/(-4 + 3 + 3). Suppose -3*h - 1 + 4 = d. Calculate the highest common divisor of h and 8.
1
Suppose -2615 = 56*z - 24511. What is the highest common divisor of z and 69?
23
Suppose -7*l + 4*o - 536 = -9*l, 4*l - 1120 = 4*o. Calculate the greatest common factor of 60 and l.
12
Let z = 159 + -151. Calculate the greatest common factor of 36 and z.
4
Suppose 0 = -2*w + 5*u + 6 + 21, 5*w = 3*u + 20. Let k(x) = 37*x**3 - x**2 + x - 1. Let a be k(w). Calculate the greatest common divisor of a and 108.
36
Let x(s) = 5*s + 18. Let f be x(-2). Suppose f*w = w + 182. Calculate the greatest common divisor of w and 39.
13
Let f = -15 - -19. Let c be 37*f/((-8)/(-2)). Let l = -15 + c. What is the greatest common factor of 55 and l?
11
Let q be -3*(-3 - (-56)/(-21)). What is the greatest common factor of q and 68?
17
Let c(s) = s**3 + 6*s**2 + s - 10. Let y be c(-3). Suppose y*x - 12*x - 40 = 0. Calculate the greatest common factor of x and 20.
20
Let g(j) = 3*j**2 - 63*j - 46. Let a be g(22). What is the highest common factor of 60 and a?
20
Let v(a) = -a**2 - 9*a + 37. Let x be v(-11). What is the greatest common divisor of 465 and x?
15
Let y be 6/27*21 - (-2)/(-3). What is the highest common divisor of 88 and y?
4
Suppose 11*t - 8360 = -8162. Calculate the highest common divisor of 342 and t.
18
Suppose 0 = 5*o - 3*l - 89, -3*l + 45 = 3*o - 2*l. Let a = 69 + -65. Calculate the highest common factor of a and o.
4
Let w be ((18/4)/(-1))/(6/(-32)). What is the greatest common divisor of 8 and w?
8
Let j = -34 + 99. Let p be 1940/j + (-2)/(-13). What is the highest common divisor of p and 45?
15
Suppose k - 11 = 14. Suppose 5*t = 4*l - 80, 3*t = t + 5*l - 32. Let d = k + t. Calculate the highest common factor of d and 99.
9
Suppose -44*f = -18*f - 2184. What is the highest common divisor of f and 21?
21
Suppose 14 = 4*h - 50. Let q(i) = -h*i + 2 + 41*i + 50*i. Let b be q(1). What is the greatest common factor of b and 7?
7
Let t(u) be the second derivative of -u**3/2 + 9*u**2 + 16*u. Let p be t(-8). Calculate the highest common factor of p and 6.
6
Suppose 5*a + 1 - 41 = 0. Calculate the highest common divisor of 30 and a.
2
Let o(x) = 24*x + 450. Let a be o(-12). Calculate the greatest common divisor of a and 9.
9
Suppose 2*y + 128 = 5*l, 5*l - 52 = 3*l + y. Suppose 0*o - l = -3*o. What is the greatest common factor of o and 8?
8
Let h be 15/(-25) - (-50337)/45. What is the greatest common factor of 13 and h?
13
Suppose 13*m = 309 + 419. Calculate the greatest common divisor of m and 32.
8
Let o = -334 - -505. What is the highest common divisor of o and 19?
19
Let m = 38 - -37. Suppose -m - 10 = -j. What is the highest common divisor of j and 34?
17
Suppose b = -2*c + 208, 3*c - 160*b - 325 = -155*b. What is the highest common divisor of c and 240?
15
Suppose -3*x - 8*u + 13*u + 33185 = 0, 5*x = -u + 55271. Suppose -17*r + x - 1705 = 0. What is the highest common factor of 50 and r?
50
Let x = 4914 + -2743. Calculate the highest common factor of 13 and x.
13
Let v(y) = 6*y + 150. Let w be v(-11). What is the highest common factor of w and 189?
21
Let w = 72 + -75. Let k = w - -53. What is the greatest common factor of 75 and k?
25
Let n = 260 - 239. Calculate the highest common divisor of n and 42.
21
Let m = 9 + -7. Suppose -80 = 3*y - 7*y. Suppose 134 + y = m*k. What is the greatest common factor of k and 11?
11
Suppose 0*f - 2*f - r = -219, 0 = -2*r - 10. What is the highest common divisor of 4 and f?
4
Let o = -446 + 463. Calculate the greatest common divisor of o and 289.
17
Suppose 0 = z + 8 - 43. Let n be (-21)/z + 3/5. Suppose q + q - 638 = n. Calculate the greatest common divisor of 29 and q.
29
Let s be (-394)/(-8) + 2/(-8). Calculate the greatest common factor of 119 and s.
7
Suppose -12 = -3*t - 5*k, 0 = 3*t - 3*k - 0*k - 36. Let f be (129/(-2))/(t/(-6)). Let h = f + 23. Calculate the greatest common divisor of 6 and h.
6
Let v(d) = -2*d + 22. Let h be v(10). Suppose 5*l - 2*b = 142, 3*b = h*l + 6*b - 53. What is the highest common divisor of l and 252?
28
Suppose 0 = -22*c + 11*c + 3388. Calculate the highest common divisor of 77 and c.
77
Let p be (-4)/(-5)*90/(-4). Let n = 59 + p. Calculate the highest common factor of n and 287.
41
Let k(t) = -3*t - 2. Let w be k(-2). Let n be -170*(1 + (-10)/w). Suppose n = 4*m - 205. What is the greatest common factor of m and 46?
23
Suppose 0 = -2*k - 210 - 322. Let c be (-1)/(-3) + k/(-3). Suppose 5*m = -9 + c. What is the greatest common divisor of m and 16?
16
Suppose -3*f = -7*f + 120. Let c be (-2)/(-16) - (-195)/40. Suppose w - c*g = 5, -w - w + f = -5*g. What is the highest common factor of 5 and w?
5
Suppose 10*y = 17 + 43. Calculate the highest common factor of y and 2.
2
Suppose -k - 1 = -28. Suppose 0 = 2*d - 7 - 83. Suppose 2*w - d = -3*w. What is the highest common factor of w and k?
9
Suppose 0 = -2*h + 5*y - 12, 2*h - 3*y + y = 0. Calculate the highest common factor of h and 4.
4
Let c(p) = 30*p - 65. Let s be c(3). Calculate the highest common factor of s and 325.
25
Let l = 1928 - 1622. Calculate the greatest common factor of 27 and l.
9
Let i(c) = 378*c - 7. Let n be i(1). Calculate the highest common factor of n and 7.
7
Suppose -5*m + 63 = -17. Let l be (0 - -3)/(1 - -2). Let f be 46*(-1)/(