9
Suppose -12 = -g + 7. What is the highest common divisor of g and 209?
19
Let o = -7 - -5. Let i(y) = -1 - 3*y**2 - 2*y**3 - 2*y - 3 + 2. Let z be i(o). Calculate the greatest common divisor of z and 9.
3
Let p(v) = v**2 + 2*v - v + 4*v**2 - 4 - v**3. Let u be p(5). Calculate the highest common factor of u and 5.
1
Suppose -4*w = -5*i - 37, 5*w - 1 - 24 = 2*i. Suppose -r + 91 = 4*l, -12 - w = 3*r. Calculate the greatest common factor of l and 8.
8
Let m = 17 - 8. Suppose 16 = 3*l + 4*f - 0, 5*f - 20 = 4*l. Suppose l = 4*h - 11 - m. Calculate the highest common factor of h and 35.
5
Suppose 3*r - 54 + 39 = 0. Let x be 1 + -2 + 2 - 1. Suppose -3*l + 3*i + 78 = x, l + i = -i + 23. What is the greatest common divisor of r and l?
5
Let j(k) = k**3 - k**2 + k + 8. Let p be j(0). Let d = p + 2. Suppose -3*l + 56 = l - 4*n, -l + 3*n = -d. Calculate the highest common divisor of 96 and l.
16
Let q(c) = c**3 - 2*c**2 - c + 5. Suppose -5*v = -5*u + 5, 2*u = 3*u - 2*v + 3. Let d be q(u). What is the highest common factor of d and 25?
25
Suppose 5*w = 4*p - 21, p - 4*p = 2*w - 10. Let b(d) = -d + 3. Let i be b(5). Let z be (1/w - i) + 0. Calculate the highest common divisor of 2 and z.
1
Let s be 87 + -1 - (0 + 0). Let l be 2/8 - s/(-8). Suppose -11*x + 88 = -9*x. Calculate the greatest common divisor of l and x.
11
Let y = 21 - -63. Calculate the greatest common divisor of 12 and y.
12
Let d = 124 - 98. What is the highest common divisor of d and 26?
26
Let q(i) = -2*i**3 - 3*i**2 + 17*i + 1. Let v be q(-5). What is the greatest common factor of 52 and v?
13
Suppose -86 = -3*b - 2*y, -6*y + 2*y + 16 = 0. Calculate the greatest common divisor of 104 and b.
26
Let r be (-2)/(-9) - 856/(-36). What is the highest common factor of 6 and r?
6
Let r be -1*33/(-6)*-2. Let s = r + 20. Suppose 307 = 3*j + 91. Calculate the greatest common factor of s and j.
9
Let o(i) = i - 1. Let j be o(3). Suppose r = -2*s + j, -2*r = 4*s + 2*r + 4. Let g = s + -2. What is the greatest common factor of 9 and g?
1
Suppose -184 = -5*z + 176. Calculate the greatest common factor of 54 and z.
18
Let b(f) = f**3 - 2*f**2 - 6*f + 3. Let n be b(4). Suppose -2*d = 3*d + 65. Let i = -2 - d. Calculate the highest common factor of i and n.
11
Let f(b) = -b**3 + 8*b**2 - b + 8. Let u be f(8). Suppose u = x - 16 - 5. Calculate the greatest common factor of x and 14.
7
Let g(s) = -2*s**2 + s + 5*s**2 - 1 - 3*s. Let u be (-1 + 3)*(0 + -1). Let d be g(u). Calculate the highest common divisor of 105 and d.
15
Let y(f) = -2*f - 14. Let r be y(-8). Let d be ((-15)/9)/(r/(-6)). Suppose 3 = 3*n - 0*n. What is the greatest common factor of n and d?
1
Let x = 15 + -15. Suppose 2*v - 64 = -x*v. What is the greatest common factor of v and 128?
32
Suppose -57 = -q - 0*q - a, -3*a - 242 = -4*q. Suppose 2*o + o = -15, 2*n = -2*o - 84. Let g = n + q. What is the greatest common factor of g and 44?
22
Suppose 5*p + 6 = i + 2*p, -5 = 5*p. Let y be i/12 + 606/8. What is the highest common factor of 19 and y?
19
Let b(r) = -29*r**3 + 2*r**2 - 1 - 2*r**2 + 2*r**2. Let n be b(-1). Calculate the greatest common factor of n and 15.
15
Let m(o) = 4*o + 1. Let j be m(-2). Suppose 5*s + 40 = 2*k, -2*k + 3*s + 32 = -0*k. Let g = k + j. What is the greatest common factor of 27 and g?
3
Let r = 184 + -96. Let s be 3/(-6) - 51/(-6). Calculate the greatest common factor of s and r.
8
Let x = 60 + -42. Suppose -a = 3*g - 525, g + 2*a = -2*g + 522. Suppose -3*l = -3, -972 + g = -4*o - 4*l. Calculate the highest common divisor of x and o.
18
Let o = 12 - 6. Suppose -2*g + 9 = -v, 3*g = -3*v + 3 + o. What is the highest common divisor of 20 and g?
4
Let r(p) be the first derivative of p**3/3 + 5*p**2/2 + 5*p - 2. Let s be r(-6). What is the greatest common divisor of s and 22?
11
Let p(w) = w**2 + 5*w + 2. Let t be p(-7). Suppose 2*h + 225 = 7*h. Suppose 0*y + 5*c - h = -5*y, 5*c + 3 = y. Calculate the highest common factor of y and t.
8
Let q = -3 + 3. Suppose -3 = 4*t - 5*t. Suppose q*b - t*b = -36. Calculate the greatest common factor of b and 36.
12
Suppose 0 = 5*k - 2*i - 118, -3*k - 6 + 60 = 3*i. Calculate the greatest common divisor of k and 242.
22
Suppose 0 = -r + 2. Let j(g) = 3*g**3 + 3*g**2 - 4*g + 2. Let t be j(r). Suppose 4*w + w = t. What is the highest common divisor of 30 and w?
6
Suppose -4*f = -0*f - 96. Calculate the highest common divisor of f and 12.
12
Suppose 3*f = 4*f - 8. Suppose -u + f = u. Calculate the greatest common factor of u and 12.
4
Suppose -52*k + 56*k = 8. What is the highest common factor of k and 14?
2
Let w(x) = x**2 - 9*x + 8. Let b = 39 + -25. Let m = 24 - b. Let f be w(m). What is the highest common divisor of f and 9?
9
Let a = 144 + -102. Let m = a - 25. Let k = -83 - -202. Calculate the greatest common divisor of k and m.
17
Suppose b - 15 - 29 = -5*w, -2*b + 24 = 2*w. Let l(m) = -9 + 17 - 8 + 2*m. Let r be l(2). Calculate the highest common divisor of w and r.
4
Suppose 3*x - 278 = 292. Let j = x - 136. What is the highest common divisor of j and 18?
18
Suppose 6*c - 244 - 44 = 0. Calculate the highest common divisor of 16 and c.
16
Let t(b) = b**3 + 5*b**2 + b - 4. Let q(k) = -k**3 - 3. Let f be q(0). Let i be t(f). Calculate the greatest common factor of i and 11.
11
Let b be 72 - (3 + 3 + -2). What is the greatest common factor of 17 and b?
17
Suppose -o - 3*u + 12 = 0, -4*o + 0*o - 2*u = -28. Let h be (o/(-2) - 0) + 14. Calculate the greatest common divisor of 11 and h.
11
Suppose -o - 8 = -2*o. What is the greatest common factor of 40 and o?
8
Let d = -44 + 83. Suppose -3*p - 3*q = -d, 0 = -5*p + p - 3*q + 50. Let t(z) = 2*z**2 + z + 5. Let a be t(-4). What is the highest common divisor of p and a?
11
Suppose 45 = -0*v + v. Calculate the greatest common factor of v and 18.
9
Let u(c) = c**2 + c. Let k be u(0). Let a be (-3 + k + -9)*1. Let z = -6 - a. What is the greatest common divisor of 12 and z?
6
Let w = 4 + -2. Let o be 4/(-14) + 204/(-21). Let u = -4 - o. What is the highest common divisor of w and u?
2
Let c = -6 + 19. Calculate the highest common factor of 26 and c.
13
Let v be (-6)/4*(-10)/5. Calculate the greatest common factor of v and 33.
3
Suppose s - 8 = -3*m, 6*s - 6 = m + 2*s. Suppose -2*c - 78 = -5*l, -2*l + 0*l + 4*c = -44. What is the highest common divisor of l and m?
2
Let l(k) = 5*k - 15. Let y be l(11). Calculate the highest common factor of 5 and y.
5
Suppose -5*n - 161 = -631. Suppose 5*z = -b + 167, -3*b + 5*b + 142 = 4*z. Let k = z + n. Calculate the greatest common divisor of k and 16.
16
Let g be 20*(1 + (-2)/4). Let r be 369/45 + (-2)/g. What is the highest common factor of 12 and r?
4
Suppose 4*q - o = -35, -o = 5*q + 20 + 26. Let t(f) = -11*f - 3. Let z be t(q). Calculate the greatest common divisor of 12 and z.
12
Let g be 4 - (-319 + 4) - 4. Calculate the greatest common divisor of 15 and g.
15
Let k(t) = -t + 61. Let g be k(6). Calculate the highest common divisor of 220 and g.
55
Suppose -l = -6*l - 55. Let j = l + 13. Suppose 0 = d + 3*d - 88. Calculate the highest common factor of j and d.
2
Let c be (-9 + 7)*(-4)/1. What is the greatest common factor of c and 32?
8
Suppose h + 5*l = 73 + 96, -4*l - 394 = -2*h. Let v be (27/(-6))/(2/(-12)). Calculate the highest common factor of h and v.
27
Let g(a) = 9*a**2 - a. Let v be g(-3). Suppose -p - 3*p = -2*i - 18, -5*i + p - 90 = 0. Let m = 31 + i. What is the greatest common divisor of m and v?
12
Suppose 3*a + 0*a - 24 = 0. What is the highest common factor of 16 and a?
8
Suppose -5 = 3*r - 2*r, -3*t = 4*r - 100. Calculate the greatest common factor of 8 and t.
8
Let c(y) = 2*y + 3. Let p be c(-3). Let q = 27 + p. Suppose -s = 5*l + s - 24, 2 = s. What is the highest common factor of q and l?
4
Let p be -9*(-3)/(-18)*4. Let w be (-27)/p*(-8)/3. Let a = -3 - w. Calculate the greatest common divisor of 45 and a.
9
Suppose -z + 25 = w - 20, -3*z + 135 = 2*w. Calculate the greatest common factor of z and 5.
5
Suppose 2*m - 34 = -5*u + 6*u, 5*m - 4*u = 91. What is the highest common divisor of m and 15?
15
Let b = 33 - 27. What is the greatest common divisor of b and 6?
6
Suppose 2*u - 30 = -4*y, -y + 5*u - 15 = y. Suppose -y*g = -157 + 37. What is the highest common factor of 6 and g?
6
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