 = -s**2 + 13*s - 33. Let m be k(9). What is the highest common factor of m and 39?
3
Suppose 72 = 8*y - 24. Let h be (-214 + 0)/2*-2. Suppose -4*i = 3*s - 332, s + i = 3*s - h. Calculate the highest common divisor of y and s.
12
Let w = 15 - -3. Let z(j) be the first derivative of -j**2/2 + 144*j - 3. Let r be z(0). What is the greatest common divisor of w and r?
18
Suppose 2*g = 5*p - 5, -18 = -5*p + 3*g - 13. Suppose -22 = 5*s - 67. What is the highest common divisor of s and p?
1
Let l = 1 - 1. Suppose -q + 4*i - 116 = -486, -q + 2*i + 366 = l. Suppose -u - q + 32 = -2*b, 5*u = 0. What is the greatest common divisor of b and 15?
15
Let w(q) = -9*q + 319. Let a be w(0). What is the greatest common divisor of 29 and a?
29
Let z(g) = g**3 + 8*g**2 + g + 5. Let u be z(-6). Suppose 3*l - 3*a - a = u, -4*a - 92 = -4*l. Calculate the highest common factor of 168 and l.
21
Suppose -4*a - t = -45, 2*t = a - 7 - 11. Suppose 5*j = -5*f + 30, -f - j + 12 = 2*f. Suppose 112 = f*o + 22. What is the highest common divisor of a and o?
6
Let c(n) = 3*n - 4*n + n**2 - 6 - 2*n. Suppose -2*p = -2*t - 16, 4*t - 2*p = -5 - 19. Let q be c(t). Calculate the highest common divisor of q and 11.
11
Suppose -4*q + 36 + 8 = 0. What is the greatest common factor of 77 and q?
11
Suppose -2*r = -r - 18. Calculate the greatest common divisor of r and 12.
6
Let v(o) = -15*o**3 - o**2 - 2*o - 1. Let d = -1 + 0. Let l be v(d). Calculate the greatest common divisor of l and 10.
5
Let m(k) = k**2 + 2*k + 1. Let b be m(3). Suppose -2*h - 3 = 1, 0 = 5*z + 2*h - b. Suppose -z*l - 3 = -5*l. What is the greatest common factor of l and 6?
3
Let u = 30 - -18. What is the highest common factor of 24 and u?
24
Let r(i) be the second derivative of 7*i**3/3 + 7*i**2/2 + 6*i. Let k be r(5). Calculate the highest common divisor of k and 7.
7
Suppose -3*f - m + 660 = 2*m, -3*f - 4*m + 660 = 0. Calculate the highest common divisor of 20 and f.
20
Suppose -6 = 3*o - 3, -4*o + 1252 = 2*g. Let c be 8/(-36) + g/(-9). Let i = c - -100. What is the greatest common divisor of i and 3?
3
Suppose -4*j + 3*h + 496 = 0, -2*j + 5*h = -275 + 13. What is the highest common divisor of j and 11?
11
Let k be 2/(3 + -1) - -1. Suppose -k*d + 3 = 1. Suppose -s + 6*s = 45. Calculate the greatest common divisor of s and d.
1
Let c be (-2)/3 + 112/6. Suppose 5*o = 0, o = -3*n + c + 12. What is the greatest common divisor of 10 and n?
10
Let o(n) = -2*n + 3. Let v be o(-3). Suppose 5 + 3 = 4*g. Suppose 2*y - j + 22 = 3*y, -34 = -g*y - 4*j. What is the greatest common factor of v and y?
9
Suppose 4*a - 20 = 2*p, -p + 10 = a - 4*p. What is the greatest common divisor of a and 10?
2
Let q = 251 - 107. Suppose 3*o - 9 = 6*o. Let h be o/(-1)*64/12. What is the highest common factor of q and h?
16
Suppose 0 = -4*r + 2*k - 42, -2*r - 19 = -0*r + k. Let n be -14*(r/4 - 2). What is the highest common factor of n and 21?
21
Let c(z) = -z + 20. Let h be 1*(-3 + 11 - 3). Suppose h*f = f. Let s be c(f). What is the highest common factor of 20 and s?
20
Let z(l) = -l**3 + 4*l**2 + 2*l + 3. Suppose t + 3*t = 16. Let n be z(t). What is the highest common factor of n and 121?
11
Let g = -2 + 9. Calculate the greatest common factor of g and 77.
7
Let k = -6 + 14. Calculate the highest common factor of k and 8.
8
Suppose -3*w + 84 = -345. Let z = w - 22. What is the highest common factor of 11 and z?
11
Let b be ((-6)/(-14))/1 - 1224/(-84). Calculate the greatest common divisor of 135 and b.
15
Suppose 0 = -5*w + 5, -3*r + w + 3 + 5 = 0. Let j be (-1)/r - (-6)/(-9). Let p be (-41)/(-2) + j/2. What is the greatest common divisor of p and 220?
20
Let r(p) = -p**2 + 6*p + 7. Let i be r(5). Let y be (-2)/7 - 3704/(-28). What is the highest common divisor of y and i?
12
Suppose f - 36 = -5*a, -a + 96 = 2*f + 3*a. Suppose -2*p - f = -6*p. What is the greatest common factor of 98 and p?
14
Let b be (-33)/22*-7*10. Calculate the greatest common divisor of 15 and b.
15
Let d = 41 - 120. Let a = d - -21. Let w = a - -154. What is the highest common divisor of w and 12?
12
Suppose 0 = -5*z + 5*h + 210, -3*h + 147 = -0*z + 4*z. What is the greatest common factor of 26 and z?
13
Let f = -82 + 138. What is the greatest common divisor of f and 84?
28
Suppose 2*t = 2*x - 6*x, 5*x = -2*t. Let p = t - -11. What is the greatest common divisor of 1 and p?
1
Let m(z) = z**3 + 7*z**2 + 5. Let d be m(-7). Calculate the greatest common divisor of d and 20.
5
Suppose -6 = -4*h + 2. Let g be 1/(h - (-27)/(-15)). Suppose 3*m + 2*o - 270 = 0, -5*m + g*o - 103 = -6*m. What is the highest common factor of m and 8?
8
Let y = 10 - 4. Let z(o) = 3*o**3 + o. Let l be z(1). What is the highest common divisor of l and y?
2
Let o(f) = 6*f - 12. Let x be o(8). What is the greatest common divisor of 9 and x?
9
Let t(f) = -f - 13. Let w be t(0). Let k = 49 + w. Let a = 71 - k. What is the highest common factor of 7 and a?
7
Suppose 22*k - 18 = 20*k. Suppose -4*z - 26 = -422. Calculate the greatest common factor of z and k.
9
Suppose 0 = -c + 6*c - 150. What is the highest common divisor of c and 75?
15
Suppose -5*b - 3*n = 3, 4*n = -2*b + 3 - 7. Suppose q + 53 = 3*q - i, -q - 4*i + 22 = b. What is the highest common factor of q and 13?
13
Let a = -1 + 4. Let j(q) be the third derivative of q**6/60 - q**5/30 - q**4/6 - q**2. Let p be j(a). Calculate the highest common divisor of p and 36.
12
Suppose -5*b + 2*b = 2*q - 48, -q - 4*b + 34 = 0. What is the highest common divisor of q and 72?
18
Let w = 26 - 18. Let o be 94 + -4 - (2 + 0). Calculate the highest common factor of w and o.
8
Let y(k) be the third derivative of 2*k**4 + k**3/6 + 3*k**2. Let z be y(1). What is the highest common factor of z and 7?
7
Let f = 9 + -7. Suppose 5*u = 7 - f. What is the highest common factor of 11 and u?
1
Suppose -2*g = 5*w - 10*w - 22, 0 = -4*w - 8. Suppose -2*q = -q - 5*t - g, t - 1 = 0. Calculate the highest common divisor of 99 and q.
11
Suppose 3*b = -4*d + 1392, -159 = -2*d - b + 539. Calculate the greatest common factor of d and 39.
39
Suppose -5*b + 10*b = -25. Let p = b - -5. Suppose -o + 9 = -p. What is the greatest common divisor of 9 and o?
9
Suppose -15*d + 12*d = -18. What is the highest common factor of d and 30?
6
Let n(m) = 2*m**3 - 8*m**2 - 8*m + 4. Let z be n(7). Calculate the highest common factor of 22 and z.
22
Let b be 30 - (5 + -3 + 3). Calculate the highest common divisor of 25 and b.
25
Suppose -3*i + m - 14 = 0, 0 = 3*m + 3. Let v be (-46)/i - (-5)/(-25). Calculate the highest common divisor of 45 and v.
9
Suppose 8*q = 16*q - 72. Let a(r) = -9*r. Let j be a(-4). Calculate the greatest common divisor of j and q.
9
Let m = 10 + 4. Suppose 5*v - 3*x - 779 = 0, 2*v + 5*x - x - 296 = 0. What is the highest common divisor of v and m?
14
Let t = 9 - 5. Let d be 3/((-3)/(-40)*t). What is the greatest common factor of d and 90?
10
Let g = 59 + 49. Suppose 5*s - 5*j = 80, -8 + 56 = 5*s + 3*j. What is the highest common factor of g and s?
12
Suppose -z - 5 = -8. What is the highest common divisor of 9 and z?
3
Suppose j - 5 - 5 = 5*c, -40 = -4*j - 4*c. Let h(u) = -u**3 - 5*u**2 + 8*u + 8. Let s be h(-7). What is the greatest common factor of s and j?
10
Suppose -2*l - 62 = -0*l. Let g = l - -48. Let j = -69 - -256. Calculate the greatest common factor of j and g.
17
Suppose -27 = -3*m + z, 3 = 2*z - 3. What is the greatest common divisor of 40 and m?
10
Let o be ((-7)/2 - 4)*-2. What is the greatest common divisor of 15 and o?
15
Let m(r) = r + 33. Let a be m(-15). What is the highest common factor of 12 and a?
6
Suppose -20 = -2*o + 6. Let x be ((-32)/10)/(6/(-30)). Let n = 29 - x. Calculate the greatest common divisor of o and n.
13
Let z be 89 + (1 - (-1 + 3)). What is the greatest common factor of z and 11?
11
Suppose 4*u = -m + 5, -2*u - 14 = m + m. Let x = m + 62. Calculate the greatest common factor of 34 and x.
17
Suppose -5 = -2*u + 37. What is the highest common divisor of u and 21?
21
Let p = 42 + -30. What is the greatest common factor of 30 and p?
6
Let v(b) = b + 4. Let q = -2 + 5. Let w be v(q). Suppose 0 = -g + 19 + 9. Calculate the greatest common factor of w and g.
7
Suppose 3*z - 18 = -0*z. Let k(o) = 13*o + 11. Let u(y) = -7*y - 6. Let p(a) = z*k(