t o(c) = 12*c**2 - 3*c + 3. Let z be o(1). Calculate the highest common divisor of l and z.
3
Suppose 0 = -5*z + 2*z + 96. Let i(t) = -t**3 + t**2 - t + 8. Let x be i(0). Calculate the greatest common divisor of z and x.
8
Let o(f) = -32*f**3 + 2*f**2 + 3*f + 1. Let k be o(-1). Calculate the greatest common factor of 16 and k.
16
Let x = 8 + -5. Suppose -3*q - 30 = -q. Let l = q - -18. Calculate the greatest common factor of l and x.
3
Suppose 1 + 24 = 5*x. What is the highest common divisor of 45 and x?
5
Let c = -9 + 21. Calculate the greatest common factor of c and 3.
3
Let f be (-2 + 3 + 11)/1. Calculate the greatest common factor of f and 108.
12
Suppose -5*x + 32 = 2. Let j = 5 + 4. Let m = 15 - j. Calculate the highest common divisor of x and m.
6
Let r = 1 - -3. Suppose 4*n - 36 = -3*l, 0 = 2*l - l + r*n - 20. Let x(g) = 5*g + 6. Let c be x(10). Calculate the greatest common factor of c and l.
8
Let p(a) = a**3 - a**2 - a + 13. Let n be p(0). Calculate the greatest common divisor of 52 and n.
13
Let m(s) be the second derivative of -s**4/12 - s**3 + 2*s**2 + 3*s. Let a = 6 - 12. Let p be m(a). What is the highest common divisor of 4 and p?
4
Let b = -798 + 1120. Suppose 42 = -4*y + b. What is the greatest common factor of 28 and y?
14
Let b(p) = p + 6. Let m be b(-6). Let l = m - -4. What is the highest common factor of l and 24?
4
Suppose 2 - 6 = o. Let r = 84 + o. What is the highest common factor of r and 16?
16
Let n(w) = -2*w**3 + 3*w**2 + 3*w. Let o be n(-3). What is the highest common factor of 108 and o?
36
Let s be 8/(-2) - -75 - -1. Suppose -5*g + 49 = 5*z - 6*z, -5*g + 53 = -2*z. What is the greatest common divisor of s and g?
9
Suppose q - 60 = -4*q. What is the greatest common factor of 8 and q?
4
Suppose 4*t - 9 - 3 = 0. Suppose -t*u + 180 = -0*u. What is the greatest common divisor of u and 24?
12
Let y be (-2 + 2)/((-8)/4). Suppose -3*s = 5*l - 41, -2*l = -y + 10. What is the highest common factor of 11 and s?
11
Suppose 5*q - 8 = -4*z, -4*z = 3*q - 21 + 5. What is the greatest common divisor of z and 49?
7
Suppose -2*x + 5*j + 470 = x, -612 = -4*x + 3*j. Suppose 0 = 5*h - 0*h - x. Calculate the highest common factor of 75 and h.
15
Suppose 28 + 32 = 5*i. What is the highest common divisor of i and 84?
12
Let p be (-74)/(-3) + 2/(-3). Suppose 2*d = 4*u - p, 0*d = d - 5*u + 21. Let k be 6/4*(-40)/d. Calculate the greatest common factor of k and 5.
5
Let z(g) = -g - 1. Let d be z(-6). Suppose d*o = o + 28. Let y(t) = t**2 - t - 2. Let f be y(-5). Calculate the greatest common divisor of f and o.
7
Let u = -59 - -103. Suppose -n + 6*n = -5*v, 0 = 4*v + 16. Let g be -1 - (-15)/(-1 + n). What is the highest common factor of u and g?
4
Let f = -25 - -31. What is the greatest common factor of 66 and f?
6
Let i be 69/2 - (-2)/4. Suppose 0 = -4*v + 11*v - 49. What is the highest common factor of i and v?
7
Let w = -4 + 8. Suppose -4*o = -2*d + 88 - 22, 0 = 3*d - w*o - 93. Let j = 3 + 0. What is the greatest common factor of d and j?
3
Let a = -16 + 21. Let f = -37 + 82. Calculate the greatest common divisor of f and a.
5
Suppose -42 = -10*r + 168. Let c = -2 - -2. Suppose c = 5*t + 4*f - 66, -5*f = 5*t - 43 - 22. What is the highest common factor of r and t?
7
Let m(z) = -z + 1. Let a be m(-8). Let s be 6/(-9) + 11/3. Suppose s*w - d - 51 = 0, -4*w + 5*d = -68 + 11. Calculate the highest common factor of a and w.
9
Let d(h) = -h**2 - 6*h - 4. Let m be d(-4). Suppose f + m = 3*f. Suppose 13 - 1 = f*v. Calculate the greatest common divisor of v and 30.
6
Let i(b) = -b**3 - 4*b**2 - 4*b + 5. Let z be i(-4). Let f = 4 - 1. Calculate the highest common factor of z and f.
3
Suppose -j + 76 = 3*j. Suppose -3*r + 2*s = -2028, -r + 0*r + 3*s + 676 = 0. Suppose 4*w + 68 - r = 0. What is the highest common factor of j and w?
19
Let t = -44 - -59. Let o(v) = -11*v - 2. Let m be o(-7). What is the greatest common divisor of t and m?
15
Let t = 151 - 46. What is the highest common factor of 42 and t?
21
Suppose 0 = -k - 4*k + 150. What is the greatest common divisor of k and 5?
5
Suppose 16 = 8*r - 4*r. Calculate the highest common divisor of r and 44.
4
Let p be (-13)/(-4) + (-6)/(-8). Suppose w - 13 = -3*j, -2*w = 2*w - 2*j + p. Let b be (1 + w)/((-8)/(-132)). Calculate the greatest common divisor of 11 and b.
11
Let u = -57 - -113. Let n = 6 - 4. Suppose n*c + 31 = 3*d + 7*c, -5*d + 29 = -3*c. Calculate the greatest common factor of u and d.
7
Let z(h) = 7*h - 20. Let k be z(4). Calculate the highest common divisor of 20 and k.
4
Let x = 32 - 18. Let p(b) = 2*b - 6. Let c be p(5). Let y be 424/6 - c/6. What is the greatest common divisor of x and y?
14
Let i be (1/2)/(6/(-264)). Let s = i + 13. Let u be s/3*(-13)/3. Calculate the greatest common factor of 52 and u.
13
Let u = 20 - 12. Suppose -3*l = -8*l + 200. Calculate the greatest common factor of l and u.
8
Suppose -5*h = 5*k - 5, -3*h + 4 = 2*k - 0. Let r = 8 - h. Calculate the greatest common divisor of r and 9.
3
Let q = 3 + -5. Let p be ((-40)/12)/(q/45). What is the highest common divisor of p and 15?
15
Let s be 4 + (2 - 3 - 3). Suppose p - 5*v = 26, s*p = -2*p - 3*v. What is the highest common divisor of 18 and p?
6
Let x = 5 + -1. Suppose -u = -b - 7, 0*u + 26 = x*u - 5*b. Calculate the greatest common divisor of 9 and u.
9
Let p(g) = -g**3 - 12*g**2 - 6*g + 13. Suppose -7*w - 72 = -w. Let u be p(w). Calculate the greatest common factor of 34 and u.
17
Suppose -15*v = -10*v - 15. What is the highest common divisor of 33 and v?
3
Let f = 9 - 4. Suppose 9 = -0*y + 9*y. Calculate the greatest common divisor of f and y.
1
Suppose -11 = -4*r + 9. Let h(m) = 16*m + 7. Let l(s) = -5*s - 2. Let u(b) = 3*h(b) + 8*l(b). Let i be u(r). What is the highest common factor of 5 and i?
5
Let m(z) = -z**3 - 5*z**2 - z - 1. Let c be m(-5). Suppose 4*x = j + 55, 4*j + 53 = c*x + j. Calculate the greatest common divisor of x and 154.
14
Suppose 0 = 5*p - 0 + 170. Let x = p + 76. Calculate the highest common divisor of 6 and x.
6
Let y = 156 - 148. Calculate the greatest common factor of y and 1.
1
Let k(d) = d**2 - 5*d + 5. Let l be k(4). Suppose 3*f = -l + 37. What is the greatest common divisor of 60 and f?
12
Let f(l) = 18*l - 2. Let m be f(4). Suppose 0*n = 2*n - m. Suppose -17 = -5*c + 53. Calculate the greatest common factor of n and c.
7
Suppose g = c - 28, 7*c + 4*g - 176 = 2*c. What is the highest common factor of 80 and c?
16
Let y(k) = 3*k. Suppose 0 = -4*z - z - 4*t + 6, -z - t = -1. Let d be y(z). Calculate the highest common divisor of d and 6.
6
Let i(o) = 3*o**2 - o - 2. Let c be i(-3). What is the highest common divisor of 7 and c?
7
Suppose -36 = -5*w + 4*d + 7, w - 15 = 4*d. Suppose -5*o - 2*f - 3*f = -140, 112 = 4*o - f. What is the greatest common factor of w and o?
7
Suppose -4*a + 5 = -3, 0 = -3*d + 5*a + 2. What is the highest common divisor of d and 20?
4
Suppose 3*c - 42 = 198. Calculate the greatest common factor of c and 32.
16
Let i(c) = -c**3 + 8*c**2 - 6*c. Let q be i(7). Calculate the highest common factor of q and 35.
7
Let g be 1 + 22 - -4*3/(-12). Let u be ((-22)/(-3))/(2/6). Suppose f - u = -f. Calculate the highest common divisor of g and f.
11
Suppose 80 = 4*s + 5*y - 2*y, s - 2*y - 20 = 0. Calculate the greatest common factor of s and 30.
10
Let v = -6 + 11. Let h(k) = k + 6. Let n be h(-4). Suppose -4*o = n*b - 28, 2 - 1 = o - b. Calculate the highest common factor of v and o.
5
Suppose -24 = -p - 0*p. Suppose 3*q - 2*u - 82 = 2*u, 3*q + 2*u - 58 = 0. Let j = q + -14. Calculate the highest common factor of p and j.
8
Suppose 35 = -x + 95. Let v be (2/3)/((-6)/(-180)). Calculate the greatest common factor of v and x.
20
Let y(b) = b + 9. Let r be 18/(-5) + (-8)/20. Let w be y(r). Suppose w*h - 7 + 27 = 0, 4*h = l - 72. What is the highest common divisor of l and 7?
7
Let b be 11/(-4) - (-5)/(-20). Let j be b - -3 - -1*8. Let u be 3*3 + -1 + 0. What is the highest common factor of u and j?
8
Let i = 26 - 16. What is the greatest common divisor of 20 and i?
10
Let n be (-10)/15 + 4/6. Suppose n = -5*o + 9 + 1. Let x be (o - -1)/(3/8). What is the greatest common divisor of x and 40?
8
Let p = 13 + 11. Calculate the greatest common divisor of 12 and p.
12
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