
6
Let m(c) = -c**3 + 7*c**2 + 5*c + 2. Let b be m(5). What is the greatest common divisor of b and 7?
7
Suppose 3*c = -5*v - c - 7, 3*c - 12 = 2*v. Let w be (-12)/v*(-1 - -13). What is the highest common factor of w and 12?
12
Suppose 3*i = 2*i, 5*f - 4*i - 25 = 0. Let z = 23 + -13. Calculate the highest common divisor of z and f.
5
Suppose 22 + 26 = 4*t. What is the highest common factor of t and 18?
6
Let p = 15 + 102. Suppose 0 = 3*x + 130 - 31. Let j = x - -46. Calculate the greatest common divisor of j and p.
13
Let c = -30 - -6. Let k = c - -10. Let z = k - -56. Calculate the highest common factor of 14 and z.
14
Suppose -6*x = -4*x - 10. Suppose -35 + 155 = x*j. What is the greatest common factor of j and 60?
12
Let c = 70 - 33. Let k = c + -19. What is the greatest common factor of 12 and k?
6
Suppose -2*b + 24 = -6. Suppose -3*w + b = -15. What is the highest common factor of 10 and w?
10
Suppose -4*p + 11 - 3 = 0, 3*r + 52 = 5*p. Let j = -8 - r. Let c be 25*(0 - -1) + (9 - 4). What is the highest common divisor of j and c?
6
Let b = 70 - 66. What is the highest common divisor of 1 and b?
1
Let n be (-3)/(-2)*32/12. Suppose 3*d + n*t = 162 + 30, -d = 5*t - 75. What is the greatest common divisor of d and 12?
12
Suppose -2*d + 0*d + 104 = 4*z, 82 = d - 4*z. Suppose -4*s + 72 = -4*g, 0 = -3*s - s - g + d. Calculate the highest common divisor of 128 and s.
16
Let z(g) = -5*g**2 + 4*g**2 + g**3 + 2*g**2 - 2*g + 3*g**2 + 1. Let c be z(-4). What is the greatest common factor of c and 18?
9
Suppose 2*n - 5*n = -216. Let m(k) = -k**3 - 8*k**2 + k + 8. Let w be m(-8). Suppose w = -3*t + 24. Calculate the highest common factor of t and n.
8
Suppose -3*i = -404 + 173. What is the greatest common divisor of i and 11?
11
Let v = -17 + 3. Let m = -2 - v. Let s be -15*(12/(-10))/3. What is the highest common factor of s and m?
6
Let d be ((-20)/15)/((-1)/3). Suppose y - d = 10. What is the greatest common factor of 70 and y?
14
Let y(p) = -4*p - 1. Let v be y(-1). Let i(c) = c**2 + 1 + 5*c + 6*c - v*c. Let g be i(-9). Calculate the greatest common divisor of g and 50.
10
Let f be (3/5)/((-1)/(-10)). Suppose z = 5*z + 32. Let b = 28 - z. What is the highest common divisor of b and f?
6
Let g(b) = 3 + 6*b - 6 - 2*b - 14. Let j be g(7). What is the highest common factor of 55 and j?
11
Let b = -70 - -175. What is the highest common divisor of b and 15?
15
Suppose -286 = -10*q - 3*q. Calculate the greatest common divisor of q and 154.
22
Let y be ((-19)/4 - -3)*4. Let g(k) = k**2 - 2*k - 8. Let f be g(y). Suppose 5*t - 44 = 3*t. What is the greatest common factor of f and t?
11
Let z be 40/(-90) - (-444)/27. Calculate the greatest common divisor of 112 and z.
16
Let o = -10 - -24. Suppose 3*j + o = 5*j. Calculate the highest common divisor of 21 and j.
7
Let s(p) = p + 1. Let m be s(-4). Let x be (3/m + 1)/(-1). Suppose 0 = -2*b + 14 - x. What is the greatest common factor of 28 and b?
7
Let m be ((-8)/(-12))/(2/21). Let p be (-48)/(-21) + (-2)/m. Calculate the greatest common factor of p and 2.
2
Let t be -4*9*(-3)/6. Calculate the greatest common divisor of 144 and t.
18
Let u(v) = -v**2 + 6*v - 2. Suppose -5*j + f - 3 + 23 = 0, -4 = -j - 5*f. Let d be u(j). Calculate the highest common divisor of d and 18.
6
Suppose g + 52 = 3*j, 63 = 5*j + 2*g - 42. Suppose -3*p = -40 - 17. What is the greatest common factor of j and p?
19
Suppose 26 = 3*m + 179. Let o be -1*1 - (m - -4). Calculate the greatest common factor of o and 69.
23
Suppose h + 207 = 10*h. What is the highest common factor of h and 115?
23
Suppose -2*t = -3*u + t + 21, 0 = u - 5*t - 27. Calculate the highest common divisor of u and 10.
2
Let r be (-7)/4*(-8 - 0). Suppose -2*x + 14 = -2*p, 0 = 3*x - 2*p - 4 - 17. Let w = 9 - x. Calculate the highest common divisor of r and w.
2
Suppose 2*i - 3*f + 220 = 0, -5*f + 103 = i - 2*i. Let n = -65 - i. What is the highest common divisor of n and 6?
6
Let r(w) = -8*w - 4. Let j be r(-3). Let x = j + -12. Let l = -11 + 75. What is the highest common factor of l and x?
8
Suppose v - 9 = 6. Suppose 0 = -2*h + 3*f + 10, f = -f. Let p be (0 - v)*h/(-5). Calculate the highest common divisor of p and 105.
15
Suppose -4*v - 4*s + 17 + 7 = 0, 32 = 2*v - 3*s. What is the highest common divisor of v and 20?
10
Suppose 37 + 17 = 3*f. What is the greatest common factor of f and 72?
18
Let b(a) = 24*a**2 - 4*a - 3. Let n be b(5). Let p = n - 357. Calculate the greatest common divisor of 20 and p.
20
Suppose 0 = 2*b - 26 + 8. What is the highest common divisor of b and 72?
9
Suppose 31*b + 297 = 34*b. What is the highest common divisor of 9 and b?
9
Let h be ((-4)/(-8) + 0)*18. Let l(v) = 49*v + 1. Suppose 0*p + 2*p + t - 1 = 0, -3*t - 11 = -p. Let m be l(p). What is the greatest common factor of m and h?
9
Suppose -10*g = 7*g - 731. Calculate the highest common divisor of g and 473.
43
Let u(j) = 7*j**2 + 6*j**2 - 7*j**2 + j. Let l be u(-1). Suppose 4*p + 96 = l*m - 50, 3*p = 5*m - 142. What is the highest common factor of 65 and m?
13
Suppose 0 = r - 2*r, 2*g + 3*r + 78 = 0. Let j = -22 - g. What is the greatest common divisor of 136 and j?
17
Let v be 9/27 + (-418)/(-6). What is the greatest common factor of 10 and v?
10
Suppose -3*y - 6*y + 216 = 0. What is the greatest common factor of 96 and y?
24
Let l = -2 + 30. Calculate the highest common factor of l and 42.
14
Suppose 429 = 4*p + y, y - 2*y - 3 = 0. What is the greatest common divisor of p and 12?
12
Let b(k) = -5*k - 2. Let f be b(-1). What is the greatest common divisor of f and 15?
3
Let l(p) = 25*p**2 - p - 1. Let f be l(-1). What is the greatest common divisor of f and 5?
5
Suppose -2*m = f - 22, -2*f = m - 0*f - 17. Let a be 135/6*(-8 - -10). Calculate the greatest common divisor of a and m.
9
Suppose 30 = 4*q - 58. Let s(v) = v**2 + 4*v - 3. Let w be s(-5). Calculate the highest common divisor of q and w.
2
Let k(b) = -3*b + 1. Let y be k(-2). Let x(a) = 2*a - 6. Let l be x(y). What is the greatest common factor of 8 and l?
8
Let r(o) = 37*o**2 - 3*o + 3. Let x be r(-3). Suppose 5*u - 130 = x. What is the highest common divisor of u and 19?
19
Let g = 34 - 27. What is the greatest common factor of g and 35?
7
Let t = -48 - -74. What is the greatest common factor of 26 and t?
26
Suppose 0*d + 2*k - 71 = -d, 106 = d - 5*k. Suppose 0 = -0*u + u + d. Let g = 166 + u. Calculate the greatest common divisor of g and 17.
17
Let u(p) = -13*p**2 + 2*p - 1. Let k be u(-2). Let x = 95 + k. What is the highest common divisor of x and 95?
19
Let u be (-3 + 0)/(((-39)/2)/13). Let n be (-3)/3*(-3)/3. Let g be ((-1)/(-2))/(n/10). Calculate the greatest common factor of g and u.
1
Let g(v) = v**3 + v**2 + v. Let h be g(0). Suppose h = -2*b - b + 60. Let c = -35 - -37. What is the greatest common factor of c and b?
2
Let c(l) = -l**2 + 17*l - 15. Let z be c(16). What is the greatest common factor of z and 1?
1
Let o(y) = -y**2 + 5*y**2 - 5*y - 7 - 3*y**2. Let p be o(7). Let b be 18*3 - 4/(-2). Calculate the greatest common factor of b and p.
7
Suppose -c = 0, 3*w = -c + 7 + 20. Let b be (-112)/(-18) + (-2)/w. What is the highest common factor of b and 15?
3
Suppose -299 = -7*h + 37. What is the greatest common factor of h and 288?
48
Let j be (0 + (-15)/9)*-9. Calculate the greatest common divisor of 6 and j.
3
Suppose 62 + 170 = 8*d. Calculate the highest common factor of 319 and d.
29
Suppose -60 = 47*i - 51*i. What is the greatest common factor of 25 and i?
5
Suppose -3*n - 36 = -5*n. Let u be (-8)/36 - (-436)/n. What is the greatest common factor of 60 and u?
12
Let n = -9 - -29. Suppose -5*p + 3*p + n = 0. Let z = 1 - -1. Calculate the highest common factor of z and p.
2
Suppose w = -4*x + 154, 5*w + 0*w - 2*x = 770. What is the greatest common divisor of 22 and w?
22
Let c = -19 - -34. What is the highest common divisor of c and 5?
5
Let a be (-59)/(-3) - 4/(-12). What is the highest common factor of 4 and a?
4
Let a(g) = g**3 - 2*g**2 + 6*g - 16. Let f be a(3). Let b be 26/2 + -1 - 1. Calculate the greatest common divisor of b and f.
11
Let i(g) = g**3 - 4*g + 3. Let h be i(3). Let d be 8/(-10)*(-35)/(-14). Let z be -18*((-3)/6 + d). What is the greatest common divisor of h and z?
9
Let r be -1*(-6)/2*13