2. Let z = 49 + j. What is the highest common divisor of 24 and z?
8
Let f(r) = r**3 - 3*r**2 + 4*r + 5. Let a be f(5). Let c be (-4)/10 + 10530/a. What is the highest common divisor of c and 56?
28
Let j(v) = -6*v**3 - 1. Let u be j(-1). Suppose -8 = z + u*l, -2 - 12 = -3*z + 4*l. What is the highest common divisor of z and 8?
2
Let t = 18 - -6. Suppose w + 3*w + 11 = g, 1 = -3*g - 5*w. Suppose g*q - 7*q + 144 = 0. Calculate the greatest common divisor of q and t.
12
Suppose j = -2*j + 30. What is the greatest common divisor of j and 5?
5
Suppose j - 7*j + 24 = 0. Calculate the greatest common divisor of 16 and j.
4
Let b be 2/(-7) - (-4628)/28. Suppose -y + 3*a = a - 11, -4*a + 8 = 0. What is the highest common divisor of y and b?
15
Suppose -4*l = -q - 2*q - 57, 4*l = -4*q + 92. What is the highest common divisor of 63 and l?
9
Let p(a) = a**3 + 4*a**2 + a + 2. Let v be p(-2). Suppose -3*b = v - 47. Calculate the highest common divisor of b and 65.
13
Let y(d) = 2*d**3 - 7*d**2 + 7*d + 2. Let s be y(5). Let m be -3 - -1 - -2 - -14. Calculate the greatest common factor of m and s.
14
Let v(p) = 5*p**3 - 3*p**2 + p - 2. Let q be v(2). Let t = -6 + -4. Let m = 17 + t. Calculate the highest common factor of q and m.
7
Let d be (0 - -2)*-1*-15. Calculate the highest common factor of d and 6.
6
Let q(g) = -g**2 + 2. Let s be q(0). Suppose 92 = s*t - 2*l, 134 = 3*t + 4*l - 3*l. What is the highest common factor of 9 and t?
9
Let c = -222 - -240. Let f be -4*(-2 + (-77)/2). Calculate the greatest common factor of c and f.
18
Let w(h) = h**3 + 9*h**2 + 7*h + 7. Let x(b) = b**3 + 9*b**2 - 8. Let j be x(-9). Let q be w(j). What is the greatest common divisor of 15 and q?
15
Suppose 7*a = 2*a. Suppose -27 = -a*z - 3*z. What is the highest common divisor of z and 72?
9
Let l be (-2)/8 + 61/4. Let s = 15 + -9. Let p be (-51)/(-9) - (-2)/s. What is the highest common divisor of p and l?
3
Let h(z) = 4*z**2 + 7*z - 8. Let o be h(-4). What is the highest common divisor of o and 280?
28
Let g(r) = 5*r - 42. Let x be g(17). What is the greatest common factor of x and 473?
43
Let p = -67 + 89. Calculate the greatest common divisor of p and 22.
22
Let z be (4/(-4))/(1/(-2)). Suppose z*y - 16 = -2*s, -5*y - 6 = -s + 32. Let r = -30 - -69. Calculate the highest common divisor of s and r.
13
Let a(w) = 37*w + 1. Let c be a(2). Suppose 2*i - c = -3*i. What is the highest common factor of i and 10?
5
Suppose 167 = 3*z - 25. Let r be (-42)/(-56) - (-490)/8. Suppose 3*a = z + r. Calculate the greatest common factor of 28 and a.
14
Suppose w - 29 = 17. Suppose w + 62 = s. Calculate the highest common divisor of s and 12.
12
Let n be (-22)/(-10) - (-2)/(-10). Let x = n + 2. Suppose 2*l = -10, -2*c + x*c - 3*l = 25. What is the highest common divisor of c and 10?
5
Let v(g) = 5 - 2 - 3*g - 2 + 6 + 2*g**2. Let t be v(5). Calculate the highest common divisor of t and 6.
6
Let c(p) = -p**2 + 10*p + 13. Let w be c(11). Let g be (2/4)/(w/4). What is the highest common factor of 1 and g?
1
Let t = -3 + 4. Suppose 0 = u + t - 5. Calculate the greatest common divisor of u and 4.
4
Let f = 37 - 21. What is the highest common divisor of f and 8?
8
Suppose -60 = -3*g + 2*g. Let i = 18 - 3. Let z be ((-8)/5)/((-1)/i). Calculate the highest common factor of z and g.
12
Suppose 7 = 2*k - 3. Suppose 100 = k*j + b, -4*j + 0*b = -2*b - 80. Calculate the greatest common factor of j and 10.
10
Let w = 121 - 86. Suppose -3*l + 27 = l + v, 0 = 2*l + 5*v - 9. Calculate the greatest common factor of w and l.
7
Suppose 0 = 3*l - 193 + 1. Suppose 3*u = l - 19. Let h be ((-20)/25)/((-1)/u). Calculate the greatest common divisor of h and 48.
12
Let r = 11 - -2. Let w(x) be the second derivative of 26*x**3/3 - x. Let p be w(2). What is the highest common factor of r and p?
13
Suppose 8 = b - 0. Calculate the greatest common divisor of 56 and b.
8
Let t be (-1)/((3/(-87))/(-1)). Let v = -5 - t. Calculate the highest common factor of v and 24.
24
Let f(v) = 17*v**3 - 2*v**2 + 2*v - 1. Let d be f(1). Calculate the highest common factor of 144 and d.
16
Let q be (-14)/4*2*(4 + -22). Let a(l) = l + 14. Let y be a(0). Calculate the greatest common divisor of q and y.
14
Let y(q) = q + 22. Let n be y(-11). Let l = 2 + -1. Suppose -z + 34 = l. What is the highest common factor of z and n?
11
Let s(m) = -2*m**3 - 6*m**2 - m - 5. Let r(q) = q**2 + 1. Let d(p) = 3*r(p) + s(p). Let t be d(-2). Calculate the highest common factor of 1 and t.
1
Suppose -2*l - 376 = 5*c - 1176, 480 = 3*c - 3*l. Calculate the greatest common divisor of 64 and c.
32
Suppose -67*n + 21 = -66*n. Calculate the highest common divisor of n and 105.
21
Suppose -o = -0*o - 3*t - 30, 0 = -4*o - 2*t + 176. Let c = -22 + o. What is the greatest common factor of c and 5?
5
Let o = -13 + 25. Suppose -4*k + 10 = -4*p + 2*p, 3*k - 3*p - 6 = 0. Let t = 9 - k. Calculate the greatest common factor of o and t.
6
Let r be 8/4 + 2*(64 + 1). Calculate the highest common divisor of r and 12.
12
Let k = 19 + -7. Suppose 0*z - z + 46 = -y, 3*y = -k. Suppose 12 = p + 5*f, 4*f + 2 = 6. What is the highest common divisor of p and z?
7
Suppose 110 = 3*d - 4*o, -2*d + 2*o = 3*d - 160. What is the highest common divisor of d and 12?
6
Let i be 6*(-2 + 4/6). Let n be i/(-5)*(-3 + 13). Let t(s) = -s**3 + 10*s**2 - 11*s + 8. Let o be t(8). What is the greatest common divisor of o and n?
16
Let h = 10 - -8. Let a be (-8)/(-1) - (0 - -2). What is the highest common divisor of a and h?
6
Suppose 5*n = 69 + 181. What is the greatest common divisor of n and 10?
10
Let h = 35 + -13. Calculate the greatest common divisor of 286 and h.
22
Let b(m) = 2*m**2 + 3*m - 4. Let y be b(3). Let l = y - 11. Let c = 34 - -62. What is the greatest common factor of c and l?
12
Suppose -5*p + 2*o = -638, 4*p + 4*o - 166 = 322. Let d = -10 - -15. Suppose -d*b - 49 = -139. Calculate the greatest common factor of b and p.
18
Suppose -4*m = -0*m - 8. Let o be (-7 - -12)*(m + -1). Calculate the highest common divisor of o and 1.
1
Let m(u) = -15*u + 34. Let q be m(-8). What is the highest common divisor of q and 22?
22
Let n = -10 - -13. Let m be 2 + 9 - 0/n. Let a be 1 + 0/(-2) + 21. Calculate the highest common divisor of m and a.
11
Let t = 103 + -99. Calculate the greatest common factor of t and 32.
4
Suppose 4*y + y = -5*p + 130, -y + 50 = 2*p. What is the greatest common factor of p and 12?
12
Let t be 2/(-12) + 55/6. Suppose -n + t = -0*n. Calculate the greatest common divisor of 27 and n.
9
Let n(f) = -10*f + 1. Let s be n(-1). Calculate the highest common factor of 55 and s.
11
Let z = -35 - -44. Suppose 3*s - s + 16 = 2*l, 35 = 5*l - 4*s. Suppose 5*j = 4*n - 87, -l*j = -0*j + 9. Calculate the greatest common divisor of z and n.
9
Suppose 119 = 3*h - 2*i, i - 48 = 2*h - 3*h. Let v = h + -25. Calculate the highest common factor of v and 144.
18
Let s be 16/(-6)*(-15)/2. Let t = s - 7. Suppose -2*l = 5*j - 57, -j + 5*l - 3 + 36 = 0. Calculate the highest common divisor of t and j.
13
Let z be ((-6)/5)/((-3)/170). Let u(d) = d**2 + d - 3. Let n be u(4). Calculate the greatest common divisor of z and n.
17
Suppose b = -2*b. Let v be 1/(1/22) - b. Suppose 6*c - 2*c = 2*s - 38, -2*c + 3 = s. What is the greatest common divisor of v and s?
11
Let p be ((-20)/6)/((-2)/30). Suppose -2*w = -3*x + w + 81, 5*x - 147 = -w. Let k = x + -9. Calculate the highest common factor of k and p.
10
Let m(b) = -13*b - 3. Let d be m(-3). Let x be 1526/63 + (-4)/18. What is the greatest common divisor of x and d?
12
Let m(p) = 2*p**3 + 6*p**2 + 8*p - 2. Let o be m(6). Let w = o - 496. Let r = 474 - 452. Calculate the greatest common factor of r and w.
22
Let j = -25 + 37. Calculate the highest common factor of 8 and j.
4
Suppose o + 138 = 6*o - 3*j, -o + j + 26 = 0. What is the highest common factor of o and 270?
30
Let m(l) = -l**2 - 9*l + 2. Let w be m(-9). Let j(u) = -6*u**3 - 2*u**2 + 1. Let b be j(-1). What is the highest common factor of b and w?
1
Suppose 18*r = 7*r + 66. Calculate the greatest common factor of 9 and r.
3
Let s(i) = i**2 + 9*i + 9. Let l be s(-8). Suppose 2*d + 2*w = 3*w + 11, d + w = l. Calculate the greatest common divisor of d and 20.
4
Suppose f - 140 = 36. Let z be ((-132)/