e 5*f + 2*u = 5*u + 105, -3*f + 4*u + 52 = 0. What is the highest common divisor of f and 12?
12
Suppose u + 0 = 2. Let n be 6 + (2 - 6/u). Calculate the greatest common divisor of 25 and n.
5
Suppose 0 = 2*a + a - 54. Suppose 5*k = -a + 138. Calculate the highest common divisor of k and 36.
12
Let w(j) = -164*j + 2. Let z be w(1). Let c = z - -349. What is the greatest common factor of 17 and c?
17
Let b(w) = w**2 + w + 3. Let l be b(-7). Suppose -5*u + 261 = 4*o - 2*u, -2*o - 5*u = -141. Let c = o - 45. Calculate the highest common factor of l and c.
9
Let g(f) = -2*f - 2. Let l be g(-4). What is the highest common factor of l and 6?
6
Let k(d) = -4*d - 1. Let h be k(-6). Suppose -3*a + 2*x + 197 = 0, 0*x - 74 = -a - x. Calculate the highest common factor of a and h.
23
Suppose -1008 = -18*v + 14*v. What is the highest common divisor of v and 28?
28
Suppose 5*k - 4*f - 15 = -0*f, 5*k + 2*f = 15. Calculate the highest common divisor of 15 and k.
3
Suppose 3*d + 0*d - 22 = -2*z, -2*d + 13 = z. Let u be ((-6)/9)/(z/(-90)). Let w be 95 - 0 - (1 + -2). What is the greatest common divisor of u and w?
12
Suppose 15 = 5*h - 5*a, 0 = -3*h + 6*h - a - 9. Suppose 3*z = k + z - 8, -29 = -h*k + z. Suppose 6*r - r = k. What is the greatest common factor of r and 3?
1
Let u(l) = -l**2 + 4*l - 2. Let s be u(3). Let k be (-6)/4*s*-4. What is the greatest common divisor of 12 and k?
6
Let h = 5 + -3. Let w be 1 + 0/(0 - -3). Suppose -9*a = -4*a - 2*q - 52, 0 = -q - w. What is the highest common divisor of a and h?
2
Suppose 5*v = -4*m + 8, -2*v - 1 + 6 = m. Suppose 50 = -v*i + 498. What is the greatest common factor of i and 14?
14
Let t(y) be the third derivative of y**4/8 - 4*y**3/3 + y**2. Let v be t(6). What is the greatest common factor of v and 70?
10
Let w(z) = 3*z**2 + 16*z - 8. Let j be w(-7). What is the greatest common divisor of 9 and j?
9
Let s = -61 + 94. Let a be 4/14 - (-290)/14. Let p = s - a. Calculate the highest common divisor of 96 and p.
12
Let v be -1 + (-20)/(4/(-2)). Let l be 1006/6 + 1/3. Suppose 5*r - 12 - l = 0. What is the highest common factor of v and r?
9
Let r(d) be the second derivative of 13/10*d**5 - 1/2*d**2 + 0 + 0*d**4 + 1/3*d**3 + 4*d. Let l be r(1). Calculate the greatest common divisor of 9 and l.
9
Let l = -117 + 67. Let x be 20/25*l/(-4). What is the highest common factor of 30 and x?
10
Let l(b) = b + 13. Let u be l(-11). Suppose -u*t + 175 = 3*t. What is the greatest common factor of 7 and t?
7
Suppose 2 = 2*l - 3*l + 5*i, -4*i + 48 = 5*l. Suppose 0*d + l = 2*d. What is the greatest common factor of d and 32?
4
Suppose -5*m + 7*m = 460. What is the highest common divisor of m and 92?
46
Let f = -1 + 3. Let w be 151*f - (2 - 0). Suppose i + 3*i - w = 0. Calculate the greatest common divisor of i and 15.
15
Suppose -123 = -3*g + g - 5*v, -3*g + 5*v = -147. What is the highest common factor of 594 and g?
54
Let u be (-3 - -2) + 3 + -1. Calculate the greatest common factor of u and 1.
1
Suppose -t + 2*t - 3 = 0. Suppose t*f - 30 = -0*f. Let s be f/3 - (-2)/3. What is the greatest common factor of s and 44?
4
Let w be 1/(((-15)/(-6))/5). Calculate the highest common divisor of 4 and w.
2
Suppose -15 = -2*f + 1. Let g(x) be the third derivative of x**6/120 + x**5/20 - x**4/4 - x**2. Let u be g(4). What is the highest common divisor of u and f?
8
Let a(r) = 51*r + 1. Let m be a(-3). Let x be m/(-10) + 3/(-15). Calculate the highest common divisor of x and 75.
15
Suppose 56 = 4*q - 80. What is the greatest common divisor of q and 68?
34
Let z be (-3)/(2*3/(-30)). Let p = z - 4. Calculate the highest common divisor of 44 and p.
11
Let g(r) = -11*r - 1. Let i be g(-16). Calculate the highest common divisor of i and 25.
25
Suppose -y + 28 = -0*y. Suppose -20 = -4*i + y. Suppose 2*v + 5*o = i - 5, 2*o = -5*v + 7. What is the highest common divisor of v and 11?
1
Let i = -12 + 46. Let p = 67 - i. What is the highest common divisor of 3 and p?
3
Suppose -64 = 23*x - 27*x. What is the greatest common divisor of x and 40?
8
Let d(z) = z + 98. Let x be d(0). Suppose 18*m - 112 = 10*m. Calculate the greatest common factor of x and m.
14
Let i(s) = 10*s + 5. Let x be i(4). Suppose 0*o = -5*o + x. Let z(q) = 5*q + 6. Let m be z(6). Calculate the highest common factor of o and m.
9
Let q be (3 + 1)*(-1 + 2). Suppose q*u + 1 + 9 = 3*x, -u + 2*x = 5. Let r be (9 + -1)*(u + 2). What is the greatest common divisor of 32 and r?
8
Let c(b) = b**3 - b**2 - b + 2. Suppose -8*z = -3*z. Suppose 3*n + z*g + 5*g = -5, n = 3*g + 3. Let k be c(n). What is the greatest common factor of 6 and k?
2
Let p(r) = 2*r**2 - 7. Let m be p(6). Calculate the highest common divisor of m and 13.
13
Let w be 6/10 + (-792)/(-30). Suppose w = 3*i + 9. What is the highest common factor of 48 and i?
6
Suppose 2*o = 3*o - 7. Calculate the greatest common factor of 1 and o.
1
Suppose -5*v + 343 = -97. Let m be 173/3 - (-1)/3. Let k = v - m. What is the highest common divisor of 45 and k?
15
Suppose 39*q - 37*q - 32 = 0. What is the greatest common divisor of 4 and q?
4
Let g(k) = -k**2 + 10*k - 3. Let v be ((-2)/(-3))/(6/63). Let w be g(v). What is the greatest common divisor of w and 45?
9
Suppose 4*d + 0*d - 5*x = 47, -d = 4*x - 17. Let t = -3 + d. Suppose 81 = 4*v + 1. What is the greatest common divisor of t and v?
10
Let w be (-1)/(8/3 - 3). Suppose w*k + 0 = 9. Suppose -6*p - 4*i = -k*p - 54, 0 = -2*p + 5*i + 36. What is the greatest common divisor of p and 45?
9
Suppose 3*u - 652 = 23. Suppose -j = 2*j - u. What is the highest common factor of 15 and j?
15
Let p(h) = 7*h**2 + 2*h + 3. Let o be p(-2). Calculate the greatest common divisor of 36 and o.
9
Suppose t = 7*t - 1188. Calculate the highest common divisor of t and 18.
18
Let r(m) = m**3 + 9*m**2 - 3*m. Let l be r(-9). Calculate the highest common factor of 297 and l.
27
Let s be 3 + 0 + 27 - 4. What is the highest common divisor of s and 13?
13
Let v(t) = t**2 - t. Let c be v(3). Calculate the greatest common factor of 48 and c.
6
Let v(p) = -92*p**3 + 2*p**2 - 2*p + 1. Let o be v(1). Let k be (-1)/5 - o/5. Let x = 29 - k. What is the highest common factor of 1 and x?
1
Let f = -6 + 4. Let y be f/((-4)/(-14)) + -2. Let k = y - -21. What is the highest common divisor of 132 and k?
12
Suppose 10*i - 5*i = 85. What is the highest common divisor of 153 and i?
17
Suppose 0 = -3*g + 7 + 5. Suppose 0*r = b + r - g, -5*r - 1 = -2*b. Suppose b*h - o = 26, 0*h = -h - 5*o - 18. What is the highest common divisor of h and 7?
7
Let l be 1773/7 - (32/14 - 2). Calculate the greatest common factor of l and 23.
23
Suppose 4*a + 20 = 2*j, -5*j - 3*a + 3 = -8. What is the highest common divisor of 40 and j?
4
Suppose 2*t + t + 6 = 0. Let v be 114/4 + 1/t. Calculate the highest common factor of 42 and v.
14
Let h = 4 + -4. Suppose h*o - 4*o = 72. Let q be (8/3)/((-1)/o). Calculate the highest common factor of 16 and q.
16
Suppose 4*g = -4*y + 68, 0 = -2*g + 1 + 7. Suppose 5*t - 4*t - 56 = 0. Suppose 290 - t = 2*r. What is the greatest common factor of y and r?
13
Let s(i) = -13*i - 83. Let h be s(-8). What is the greatest common divisor of 84 and h?
21
Let j be 8 - ((-2)/(-2) - 0). Let c(x) = x**2 - 8*x + 9. Let y be c(j). Suppose -y*z + 18 = z. Calculate the highest common factor of 3 and z.
3
Let w = -25 - -37. What is the greatest common factor of 3 and w?
3
Suppose 1 = -3*q + 3*m - 5, 0 = -5*q - 3*m + 30. Let i be -1*(0/q + 0). Suppose -2*p - p + 45 = i. Calculate the greatest common factor of p and 165.
15
Let r(j) = -j**3 + 43*j**2 - 43*j + 146. Let w be r(42). Let o be ((-7)/(-5) + -1)*65. What is the greatest common factor of o and w?
26
Let g = 20 + -8. Let m(w) = -2*w. Let k be m(-6). Calculate the highest common factor of g and k.
12
Suppose -4*v + 219 = 3*j - 246, -4*j = 5*v - 580. What is the highest common factor of v and 10?
10
Suppose -3*t - 2 = -t. Let b be (9/(-3))/t - -76. Let f = b - -6. What is the greatest common divisor of 17 and f?
17
Let j be -115*((-16)/(-30))/(13/(-39)). Calculate the highest common factor of j and 23.
23
Suppose -5*c - 20 = 5, 4*u = c + 29. Let o be -15*(128/u)/(-4). Calculate the highest common factor of o and 10.
10
Suppose q - 14 + 4 = 0. Suppose 0 = 3*n - 4*l - 228, -26 -