Let r be u(w). Suppose 31 = n + 5. Calculate the highest common divisor of r and n.
13
Let q be (1 - (-65)/(-15))*5544/(-10). Suppose 0 = -20*w - 2*w + q. Calculate the highest common divisor of w and 24.
12
Let y(j) = -52*j + 3. Let n be y(-3). Let x = n - 132. What is the greatest common divisor of x and 189?
27
Let c(q) = -q**3 + 12*q**2 - 13*q - 20. Let h be c(5). Calculate the greatest common factor of h and 495.
45
Let s = 25 + -6. Let i be 88/(-132)*(-1 - (-1)/(-2)). Let l = s - i. Calculate the highest common divisor of l and 36.
18
Let c(j) = 17*j**2 + 2*j + 3. Let x be c(-6). Calculate the highest common divisor of 134 and x.
67
Let j(s) = s**3 + 5*s**2 - 15*s - 46. Let m be j(-6). Calculate the highest common divisor of 1912 and m.
8
Let a(c) = -c**2 + 8*c + 15. Let r be a(9). What is the highest common factor of r and 282?
6
Let p(w) = -w**3 + 6*w**2 + 6*w - 8. Let t be p(6). Suppose 276 = -11*v + 2740. What is the highest common divisor of t and v?
28
Let q(n) = 71*n - 391. Let h be q(8). What is the greatest common factor of h and 3?
3
Suppose 5*l = 2*l + 27. Let r be (-756)/84*(1 + -12). Calculate the greatest common divisor of r and l.
9
Suppose -5*w + 70 = -65. Let c be 6/15 - 2476/(-10). Let q = c - 59. Calculate the greatest common divisor of w and q.
27
Suppose 0 = -5*w - 19 - 6. Let v be (-6)/(-15) - 13/w. Suppose -v = -2*m + 9. Calculate the highest common divisor of m and 48.
6
Let o(i) = i**3 - 7*i**2 + 6*i + 3. Let y be o(6). Suppose -y*a = a - 132. Let p = 11 + a. Calculate the highest common factor of 4 and p.
4
Let q be 1/(-2)*(-32)/4. Suppose -t = -0*t + q. Let c = 7 - t. What is the highest common divisor of c and 55?
11
Suppose -4*g + 12*g - 1064 = 0. What is the highest common divisor of 14 and g?
7
Let k be (3 + 67)*(-20)/105*-9. What is the highest common divisor of k and 30?
30
Let h = 578 - 498. What is the greatest common divisor of 60 and h?
20
Suppose 5*y = 5*w - 275, -4*y + 55 = w - 2*y. Calculate the greatest common divisor of w and 242.
11
Suppose -3*p - 4 = -u, u - 116*p - 28 = -121*p. Suppose n - 3*k - 67 = 91, -5*n = -5*k - 740. What is the highest common divisor of u and n?
13
Suppose 5*s = -3*j + 30, 0 = j - s - 11 + 1. Suppose -642 = -5*w + 4*x, 4*x = -3*w + 2*x + 394. What is the highest common divisor of j and w?
10
Let k(r) = -3*r**2 - 19*r + 13. Let h be k(-9). Let l = 63 + h. What is the greatest common divisor of l and 8?
4
Suppose -9*f - 240 = -13*f. Suppose -6 = 2*g, 2*g + 57 = 4*d + 3*g. Calculate the greatest common factor of f and d.
15
Let w = 21 + -19. Suppose -i - 1 = 0, -5*p = -w*p - 4*i - 109. Suppose -6*v = -v - p. Calculate the highest common divisor of 63 and v.
7
Let c be 3/((-6)/(-59)) - 36/24. What is the highest common factor of c and 4?
4
Suppose -14 = -h - 20. Let t(b) = 3*b**2 + 7*b + 11. Let q be t(h). Calculate the greatest common divisor of 11 and q.
11
Let d(o) = -4*o - 17. Let b(p) = p. Let x(v) = b(v) - d(v). Let s be x(9). Calculate the highest common divisor of 31 and s.
31
Let t(a) = -a**3 + 22*a**2 + 6*a - 63. Let j be t(22). Calculate the highest common factor of j and 23.
23
Let f be ((-9)/4 - -3)*4. Suppose -6 = f*p + d, 2*p + 0*d - 10 = 4*d. Let n be (792/20)/(p/(-5)). What is the greatest common factor of n and 18?
18
Suppose -39 = 4*i + 2*k + 15, 3*k + 9 = 0. Let d = i - -6. Let v be 6/(-1)*2/d. Calculate the highest common factor of 6 and v.
2
Let h(k) = -6*k. Let i = 10 - 5. Suppose -8*v = -n - 5*v + i, 0 = -2*v - 4. Let p be h(n). Calculate the highest common factor of 9 and p.
3
Suppose 39 + 1 = -5*a. Let i(m) = 2*m**2 - 5*m + 3. Let n be i(a). Let k = 1510 + -1491. Calculate the highest common factor of n and k.
19
Let a(n) = -7*n - 4. Let x be a(-3). Let h(v) = 92*v - 48. Let r be h(2). What is the highest common factor of x and r?
17
Suppose 4*f = -4*b + 6*f - 26, 5*b + f = -22. Let l be ((-50)/(-15))/b*-45. Calculate the highest common divisor of 20 and l.
10
Let a be (-27)/(-81) - (-272)/3. Calculate the greatest common divisor of 39 and a.
13
Let h be -6 - (-20 - (-9 - -1)). Suppose 5 + 13 = q. What is the greatest common divisor of h and q?
6
Suppose 187 = 8*w - 293. Suppose 15 = -3*k + 2*h + 36, 5*k = 5*h + 30. Let f = w - k. Calculate the highest common factor of f and 34.
17
Suppose -119*n + 273 = -106*n. Calculate the greatest common divisor of 861 and n.
21
Let r be ((-18)/(-5))/((-1)/(-15)). Let x be (-24)/(-10)*65/26. Calculate the greatest common divisor of r and x.
6
Let a(z) = z**2 - 8*z - 3. Let i be a(8). Let t = i - -11. Let d be 0 + 0 + 5*4. Calculate the highest common factor of t and d.
4
Let g = -1065 - -2845. Calculate the greatest common divisor of g and 89.
89
Let i(f) = -f**2 - 9*f - 8. Let q be i(-6). Suppose 4*p = p + 15. Suppose 0 = -5*v, p*v - 20 = -2*l - 0. Calculate the highest common factor of q and l.
10
Let o = 97 + -1. Calculate the greatest common factor of o and 992.
32
Let j be (270/(-8))/(-9)*(0 + 4). Let o be (-2)/j + (-5811)/(-45). What is the greatest common factor of 43 and o?
43
Suppose -17 = 2*r + 19. Let d be r/24*(-1 - 51). What is the highest common factor of 13 and d?
13
Let g = 141 - 142. Let l be 1/3 + (g - (-508)/6). Calculate the greatest common factor of 112 and l.
28
Let f(k) = 12*k + 103. Let z be f(-7). Calculate the highest common divisor of z and 95.
19
Suppose -2751 - 1773 = -4*i - 4*c, -5*c = -4*i + 4569. What is the highest common divisor of i and 71?
71
Suppose -15 = -p - 4. Suppose -5*f = 15 - 5. Let q be 2/(f/55*-5). What is the greatest common factor of p and q?
11
Let r be ((-33)/(-55))/(30/100). Calculate the highest common factor of r and 194.
2
Let s be 9/3 + 7 - 6 - -2. Suppose -36 = -2*x + 4*p, 0*x - 4*p - 12 = -x. Calculate the highest common divisor of x and s.
6
Let o(l) = 7*l**2 - 3*l + 1. Let q be o(2). Let m be 44*8/((-320)/(-230)). What is the greatest common divisor of q and m?
23
Suppose -1 = -z + 4. Suppose -z*v + 85 = 5*u, 2*v - 6*v = u - 83. Calculate the greatest common divisor of 99 and v.
11
Let i = 1010 - 75. What is the highest common divisor of 110 and i?
55
Suppose 82*y = 83*y - 14. What is the greatest common divisor of 434 and y?
14
Suppose -4*c + 360 = w, -c + 90 = -0*c + 2*w. Suppose 0 = 4*j + 2*d - 141 + 19, -2*j = -3*d - 57. What is the greatest common factor of j and c?
30
Let k be (72/28 - 0)*(-28)/6. Let t(x) = -x**3 - 12*x**2 + 16. Let g be t(k). What is the highest common divisor of 40 and g?
8
Suppose -c = 4*w - 615, -4*w + 3*w - 4*c = -165. Let j be ((-25)/150 + (-206)/(-12))*1. Calculate the highest common divisor of w and j.
17
Suppose 1 - 25 = -n. Let k be (6/12 - (-15)/6) + n. Calculate the greatest common factor of 18 and k.
9
Suppose 0 = -5*g + 2*l + 61, 5*l + 4 = -g - 0*g. Let w = g - 7. Let b(u) = u**2 - 5*u + 6. Let s be b(w). Calculate the greatest common factor of s and 14.
2
Suppose 2*n = 5*t + 596, -1678 = -5*n - 3*t - 157. Suppose 4*k + 63 = n. Calculate the greatest common factor of k and 40.
20
Let v be ((-6)/(-5))/((-15)/(-50)). Suppose 2*y + j - 98 = v*j, 2*j + 142 = 3*y. Calculate the highest common factor of 69 and y.
23
Suppose -7*d = -3*d + 12. Let f be d*(44/(-48) + (-1)/(-4)). Calculate the greatest common divisor of f and 4.
2
Let z be -5 - (6/(-4))/((-3)/(-148)). What is the greatest common factor of 552 and z?
69
Suppose 0 = -3*d - 5*r + 107, 10*d + 158 = 14*d - r. What is the greatest common factor of d and 3?
3
Let j = 1631 + -1590. What is the greatest common divisor of 205 and j?
41
Let q be (-4)/6 + 85/15. Suppose -q*n = -69 - 56. Suppose -5*k + 5*z + 568 = -417, -5*z - 385 = -2*k. Calculate the greatest common divisor of n and k.
25
Suppose 10 - 46 = -2*m. Let o(v) be the first derivative of -9*v**2/2 - 9*v - 2. Let c be o(-7). Calculate the greatest common divisor of c and m.
18
Suppose 0 = -3*x - x. Suppose x = 4*n + 30 + 122. Let s = n - -119. Calculate the highest common factor of 27 and s.
27
Let z = -643 - -654. Calculate the greatest common factor of 55 and z.
11
Suppose 47 + 43 = 6*u. Suppose -4*h + 4*s - 104 = 0, -2*h + 4*s - 23 = -h. Let m = u - h. What is the greatest common divisor of 14 and m?
14
Suppose s - 34 = -4*a, -s = -29*a + 28*a - 14. Calculate the greatest common factor of s and 54.
18
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