
21
Let s(j) be the third derivative of -j**5/60 - j**4/3 + j**3/6 + 2*j**2. Let i be s(-7). Calculate the highest common divisor of 4 and i.
4
Let i be 21 + (-9)/3 + 1. Let p(t) = t**3 - 3*t**2 - 3*t - 4. Let b be p(7). What is the highest common divisor of i and b?
19
Suppose 2*b - w - 10 - 9 = 0, -2*w + 2 = 0. Let r(p) = p**3 + 5*p**2 + p - 2. Let m be r(-4). Calculate the greatest common divisor of b and m.
10
Let y(u) = -15*u - 1. Let v be y(-3). Calculate the highest common factor of v and 4.
4
Let g(n) be the second derivative of n**5/20 + 7*n**4/12 - 11*n**3/6 - 6*n**2 - n. Let w be g(-8). Calculate the greatest common factor of w and 84.
12
Let i = 213 + -93. Calculate the highest common factor of i and 300.
60
Suppose 0 = -8*l + 9*l - 20. Calculate the highest common factor of 220 and l.
20
Let f = 13 + 12. What is the greatest common factor of f and 5?
5
Suppose 0 = 5*g + 4*u - 25, 4*g - g - 15 = 5*u. Suppose -g*v - 48 = -7*v. Calculate the highest common factor of 60 and v.
12
Suppose -b - 2*b = -4*j - 327, -5*b + 25 = 0. Let y be (j/(-15))/(1/10). Calculate the greatest common divisor of y and 13.
13
Suppose -4*q + q = -384. Suppose -48 = -2*i + q. Calculate the highest common divisor of 11 and i.
11
Let g(n) = n**2 - 5*n - 1. Let y be g(6). Let m be 90/8 - (-5)/(-20). Let c be m/2 + 1/(-2). What is the highest common divisor of y and c?
5
Let v(f) = f**3 + 7*f**2 - 8*f + 3. Let q be v(-8). Suppose 0 = 4*k - q + 7. Let l be -18*(-2)/4 - k. Calculate the greatest common divisor of l and 5.
5
Let d(z) = z + 7. Let m be d(5). What is the greatest common divisor of m and 36?
12
Let y be (-1 + 9/(-15))*2970/(-12). What is the greatest common divisor of 36 and y?
36
Let c(r) = -17*r + 3. Let n be c(-1). Calculate the highest common divisor of n and 80.
20
Let t(p) = -p**2 + 6*p + 6. Let h be t(5). Let x(c) = -2*c**2 - 7*c - 5. Let r be x(-4). Let i = 20 + r. Calculate the highest common divisor of h and i.
11
Let f(q) = -2*q**3 - 2*q**2 + q + 3. Let z be f(-3). Let m be (-105)/(-14)*24/15. What is the highest common factor of z and m?
12
Suppose -4*a - 2 = -0*b + 2*b, -4*a + b = -1. Let d(c) = c + 42. Let t be d(a). Suppose -4*k = -8*k + 252. Calculate the greatest common divisor of t and k.
21
Suppose -b = -11 - 13. Let v = 250 + -144. Suppose -w = 3*j - v, -2*j + 50 = 4*w - 14. Calculate the highest common divisor of b and j.
12
Let k = 4 - 1. Let r = -12 + 18. Let m be 208/k + 4/r. Calculate the highest common factor of 14 and m.
14
Let m(u) = -u + 2*u + 2*u - 2*u + 12. Let q be m(-6). What is the greatest common factor of q and 30?
6
Let j be (8/(-1))/((-5)/960*6). What is the highest common factor of j and 32?
32
Let y = 0 - -1. Let i be 2 - 5 - -8 - 2. Suppose 3*k + i - 30 = 0. Calculate the highest common divisor of y and k.
1
Let o(c) be the second derivative of -3*c - c - 5*c + 7*c + 3*c**3. Let u be o(4). What is the highest common factor of 9 and u?
9
Suppose 0 = 2*b - 507 + 7. Suppose 0 = -5*s + 3*s + b. What is the highest common divisor of s and 50?
25
Let p = 45 + -19. What is the highest common divisor of p and 39?
13
Let j(t) = -t**3 - 7*t**2 - 10*t - 7. Let r be j(-6). Let b = r - 4. Suppose h - 455 = -4*h. What is the highest common divisor of b and h?
13
Let g(x) = -x**2 + 12*x - 14. Let n be 6/9*(-63)/(-6). Let d be g(n). What is the highest common divisor of d and 168?
21
Let z be 25 - (-2 - -2 - -2). Calculate the greatest common divisor of 92 and z.
23
Suppose 3*d + d = 16. Suppose -d*j + 749 = 173. What is the highest common divisor of 16 and j?
16
Let r be 8/10*(-125)/(-10). Let w be (3/(-6))/((-4)/40). Suppose 3*b + 150 = w*d + b, -150 = -5*d + 5*b. What is the highest common divisor of r and d?
10
Suppose 4*v + 4*b - 88 = 0, -8*b + 7*b = -5*v + 110. Calculate the greatest common factor of 88 and v.
22
Let j(v) = -38*v - 3. Let w be j(4). Let i = w - -35. Let s be (i/14)/((-6)/84). Calculate the highest common divisor of 15 and s.
15
Let p(t) = t**2 - 20*t - 48. Let g be p(23). Calculate the highest common factor of 28 and g.
7
Let u be (54/(-4))/((-17)/238). Calculate the greatest common factor of u and 21.
21
Let t(f) be the second derivative of f**3/2 + f**2 - 6*f. Let h be t(3). Calculate the greatest common divisor of h and 11.
11
Let y = 2 - -1. Suppose y*c + 52 = 7*c. Calculate the greatest common factor of 52 and c.
13
Let p(g) be the first derivative of 27*g + 1/2*g**2 + 1/3*g**3 + 2. Let l be p(0). What is the greatest common factor of l and 3?
3
Suppose -k = -5*k + 12. Suppose -3*b - 36 = -0*b. Let r = b + 15. Calculate the highest common factor of r and k.
3
Suppose 0 = 2*k + 3*c + 47, -k + 0*k + c - 31 = 0. Let i = k - -45. What is the greatest common factor of i and 153?
17
Suppose 0 = -l - 5*r + 55, -3*r + 50 = 2*l - 5*r. What is the greatest common divisor of 20 and l?
10
Let u(m) = m**2 + 1. Let f be u(0). Let b be (4/(-6))/(f/(-15)). Calculate the greatest common factor of 40 and b.
10
Let k = -54 + 124. Suppose -l - 4*l + k = 0. Suppose -2*z + n + 112 = 0, 0*n + 5*n = z - 56. What is the greatest common factor of z and l?
14
Suppose 4*k - 280 = -k. Let p be (2/(-5))/(1/(-20)). Calculate the greatest common divisor of k and p.
8
Suppose -4*i = -13 + 1. Suppose -4*p = h - 45, 2*p - i*p - 10 = -4*h. Let s = -219 + 329. Calculate the greatest common divisor of p and s.
10
Let y(w) be the first derivative of 3 + 10/3*w**3 + 1/4*w**4 + 5*w**2 + 6*w. Let n be y(-8). Calculate the highest common factor of n and 6.
6
Let z be (0 + (-15)/(-9))*3. Let k = -5 + z. Suppose 5*g = -3*b + 32, k*g + g + 72 = 5*b. What is the greatest common divisor of 42 and b?
14
Suppose w = 5*k - 7 + 27, -4*w + 2*k + 62 = 0. What is the highest common divisor of 5 and w?
5
Let p be (0 - -9)/((-3)/(-4)). Let z(m) = 2*m**2 + 6*m. Let s be z(6). What is the greatest common divisor of s and p?
12
Let n = 71 - 52. Calculate the highest common factor of n and 1.
1
Suppose s + 825 = 4*s. Calculate the highest common divisor of s and 25.
25
Let r be (-12)/(-8) - (-1)/2. Let k = 29 + r. What is the highest common divisor of k and 279?
31
Let l be 3/(-12)*-3*4. Let k = l + 0. Suppose 0 = u - 1, -4*f + 7*u + 116 = k*u. Calculate the greatest common factor of f and 10.
10
Let i = -7 - -14. Calculate the greatest common factor of 42 and i.
7
Suppose 4*f + 183 = 3*u, 28 + 269 = 5*u - 4*f. What is the highest common divisor of u and 38?
19
Let g = -25 + 33. Let i(o) = -5*o + 1. Let r be i(-3). What is the highest common factor of g and r?
8
Suppose 3*a = -a - 4*q + 36, -2*a + 3 = -3*q. Calculate the greatest common divisor of a and 24.
6
Suppose 93 = 2*v - 277. Let d = v + -77. Let r = 10 - -2. What is the highest common divisor of r and d?
12
Suppose 2*m - m = 0. Suppose v - 35 = 5*w, 2*v + w = -m*v + 70. What is the highest common factor of v and 7?
7
Let g be (-27 - -1)/(15/((-105)/14)). Let w = 0 - -65. Calculate the highest common factor of g and w.
13
Let j(p) = p**3 + 6*p**2 - 11*p - 18. Let h be j(-7). What is the highest common factor of h and 110?
10
Let k = 48 + -24. Let p be 344/k + (-4)/(-6). Calculate the greatest common divisor of 30 and p.
15
Suppose -14 - 14 = -2*l. Suppose -y = -4*o - 74, -2*y = -y - o - 71. Calculate the greatest common divisor of l and y.
14
Let b = -20 + 2. Let n = 36 + b. Suppose t + 2 - 11 = 0. What is the highest common divisor of t and n?
9
Let s be (-20)/(-70) + (-26)/(-7). Suppose 3*l + 219 = 2*z, -s*l = -5*z - 9*l + 535. Suppose 0 = -2*g - 0*g + 24. What is the greatest common factor of z and g?
12
Let z = -6 + 6. Suppose -x = -z*x - 4*a - 215, 1159 = 5*x + a. What is the highest common factor of 21 and x?
21
Suppose 3*j = 2*r + 8*j - 23, -69 = -5*r - j. Calculate the highest common factor of 126 and r.
14
Suppose c - 68 = -2*c + 2*n, 4*c = -2*n + 86. Calculate the greatest common divisor of c and 2.
2
Let p be 0 - (-168)/1*1. Calculate the highest common divisor of p and 24.
24
Suppose -3*z + 2*d + 3*d - 19 = 0, z = 5*d - 23. Suppose z*n - 21 + 5 = 0. What is the highest common divisor of 1 and n?
1
Suppose -49 = -2*l - 9. Suppose 4*k = b + 207, -2*k + l + 88 = 4*b. What is the greatest common divisor of k and 13?
13
Let z = 7 - 7. Suppose z = -3*g + 4*g - 60. Calculate the greatest comm