2
Let x = 9 - 5. Let c = 7 - 1. Calculate the highest common factor of x and c.
2
Let d = 171 + -61. Suppose 55 = -3*w - 65. Let k be (6/(-4))/(6/w). Calculate the highest common divisor of k and d.
10
Let k = 50 - 32. What is the greatest common divisor of k and 9?
9
Let d(g) = 49*g**3 - g**2 - g + 1. Let y be d(1). Let r(i) = -2*i + 38. Let w be r(16). Calculate the greatest common divisor of w and y.
6
Let k(l) = 3*l**2 + 4. Let p(o) = 1. Let d(y) = k(y) - 3*p(y). Let b be d(1). Let s(v) = 4*v. Let h be s(8). What is the highest common factor of h and b?
4
Let t = 50 - 30. Suppose -5*l - 4*z + 100 = 0, -l - 2*z = 3*z - t. Calculate the highest common factor of 4 and l.
4
Suppose 0*r - 2*r + 213 = j, -r - 4*j = -96. Let a(l) = 5*l**2 - 3 + l + l**3 - 3 + 3. Let x be a(-3). Calculate the greatest common divisor of r and x.
12
Let s(p) be the third derivative of -p**4/12 - 5*p**2. Let l be s(-2). What is the greatest common factor of 36 and l?
4
Suppose 0 = -5*k - 10, -5*r + 154 = -2*k - 0*k. What is the greatest common factor of 75 and r?
15
Suppose 17*k - 45 = 12*k. What is the greatest common divisor of 18 and k?
9
Let a be 1 + -2 - (2 + -27). Suppose -3*s + a = -36. Suppose 0 = 5*u + 2*o - 71, -2*u + s = 3*o - 5*o. Calculate the highest common factor of u and 26.
13
Let n(h) = 2*h**2 + 2*h - 5. Let j be n(-3). Let i = 19 + j. What is the highest common factor of i and 234?
26
Let k = -20 + 30. Suppose 4*b + b + 110 = 0. Let w = 47 + b. Calculate the highest common factor of w and k.
5
Let y(v) = 36*v. Let k = -8 + 11. Let s be y(k). What is the greatest common factor of s and 12?
12
Let w = -8 - -34. Calculate the greatest common factor of 65 and w.
13
Let l = 135 - 130. Calculate the highest common factor of l and 5.
5
Let x(c) = 23*c**2 + c. Let z be x(-1). Calculate the greatest common divisor of z and 2.
2
Let b(u) = -23*u - 2. Let d be b(-4). Let v = d + -24. Suppose -3*f + v = -312. Calculate the highest common divisor of f and 14.
14
Let j = 1 - -10. Let z(u) = 3*u**2 + 4*u + 7. Let b be z(-2). Calculate the greatest common divisor of j and b.
11
Suppose 0 = -5*g + 3*p + 47 + 30, -49 = -3*g - p. Let j = -5 - 0. Let c(w) = -w**2 - 5*w + 2. Let u be c(j). What is the greatest common factor of g and u?
2
Let g(o) = o**3 + 9*o**2 - 9*o + 12. Let s be g(-10). What is the greatest common divisor of s and 4?
2
Let t be (24/5)/(2/(-30)). Let k be t/(-7) - 18/63. Calculate the greatest common factor of k and 5.
5
Suppose h = -2*v + 4*v + 40, 5*h - 208 = 2*v. Calculate the highest common divisor of h and 70.
14
Let q(r) be the third derivative of r**4/4 + r**3/6 + r**2. Let g be q(2). What is the greatest common factor of g and 39?
13
Let h be (-366)/(-10) - (81/(-15) - -5). Calculate the highest common divisor of 74 and h.
37
Let z(u) = u**2 + 6*u - 4. Let c be z(-10). Calculate the greatest common divisor of c and 24.
12
Let y be (3 + -3)/1 + 3. Suppose n - w - 12 = 2*w, 0 = y*n + 5*w - 50. Calculate the highest common divisor of 15 and n.
15
Let m = -4 - -6. Let d be 228/14 + m/(-7). Let v(f) = 29*f + 2. Let j be v(6). Calculate the greatest common factor of d and j.
16
Suppose 5*y - 179 - 62 = -3*x, 0 = 2*x - 3*y - 148. Calculate the greatest common divisor of x and 11.
11
Suppose 5*u = 7*u - 16. What is the highest common divisor of 72 and u?
8
Let l(x) be the third derivative of x**4/24 - x**3/6 + 6*x**2. Suppose -g + 5*g - 12 = 0. Let o be l(g). Calculate the greatest common divisor of o and 4.
2
Let m = -13 - -15. Suppose m*c = -3 + 35. What is the highest common divisor of c and 24?
8
Let j(x) = x**2 - 2*x + 1. Let a(k) = k**3 + 2*k**2 + k - 2. Let t be a(-2). Let s = -6 - t. Let g be j(s). What is the greatest common divisor of g and 45?
9
Suppose -n = -m + 10, -3*m - 11 = 3*n - 59. Suppose -2*v + 81 = 3. What is the highest common divisor of m and v?
13
Let k(c) = c**2 - 10*c + 7. Let v be k(12). Let m = -22 + v. Let l(u) = 18*u**2. Let a be l(-2). Calculate the highest common factor of a and m.
9
Suppose 5*k + 11 - 31 = 0. Let n(o) = o**2 + 5*o + 6. Let w be n(-4). Let z be ((-1)/w)/(1/(-32)). Calculate the greatest common divisor of k and z.
4
Let a be 1/((-1282)/(-320) - 4). Suppose -4*h - 2*o + 6*o + a = 0, h + o - 48 = 0. Calculate the greatest common divisor of 11 and h.
11
Suppose 4*k - 28 = 12. What is the greatest common divisor of 80 and k?
10
Suppose -4*k + 4*n + 3 = -5, 3*k + 4*n = 34. Let o be 19/1 - (3 - 2). Suppose -o = a - 2*a. Calculate the highest common divisor of a and k.
6
Let g = -36 - -12. Let r = g - -220. Let o be (-4)/(-6) - r/(-3). What is the highest common factor of 6 and o?
6
Let w(b) = 2*b + 6. Let f be w(12). Calculate the highest common divisor of 15 and f.
15
Let o be 9 - (-3 - -2)*-2. Let n(u) = 34*u + 1. Let t be n(1). What is the greatest common factor of t and o?
7
Let m(p) = -p + 5. Let c be m(-12). Calculate the highest common divisor of c and 136.
17
Suppose 6*f + 4*u - 292 = f, -221 = -4*f + u. Let s(k) = -k**3 + 9*k**2 - 3*k + 7. Let n be s(7). Calculate the greatest common divisor of n and f.
28
Let u be 1*(-2 - -2) + 5. Let l(o) = 21*o - 1. Let t be l(u). Suppose 6*c - 5*c - 13 = 0. What is the greatest common divisor of t and c?
13
Suppose 0*y - 5*z + 7 = -2*y, 0 = 3*y + 4*z - 24. Suppose y*f + 0*j - 124 = -j, -4*f - 3*j = -132. What is the greatest common divisor of 20 and f?
10
Let g = -67 - -94. What is the highest common factor of 9 and g?
9
Let i(w) = -9*w - 5. Let m be i(-5). Suppose 3*r = -2*r + m. What is the highest common factor of r and 88?
8
Suppose -3*f = 3*z - 4*f - 19, -2*z = f - 11. What is the highest common divisor of z and 60?
6
Suppose 0 = 2*i - 6*i - 3*u + 480, 120 = i - 5*u. Calculate the greatest common divisor of 24 and i.
24
Let f = 186 - 164. Calculate the greatest common factor of 22 and f.
22
Suppose 2*m - m - 3*v = -63, -4*v = -m - 68. Let g = m - -235. Calculate the greatest common factor of g and 17.
17
Suppose 4 = -4*u + 2*u. Let q(m) = -4*m**3 - 3*m - 1. Let f be q(u). Suppose 2*n = -3 - 1, 5*n + f = 3*w. What is the highest common divisor of 27 and w?
9
Suppose 3*g - 12 = -3. Let x(s) = 18*s**2 - 2*s - 4. Let z be x(g). Suppose 3*w - 64 = z. Calculate the greatest common divisor of w and 9.
9
Let o(p) = 7*p**2 + 4*p + 3. Let m be o(-2). What is the greatest common divisor of m and 92?
23
Suppose 0 = -3*v + 15 + 12. Calculate the greatest common divisor of 153 and v.
9
Let t = -8 + 30. Suppose -q = -2*q + 241. Suppose 0 = -5*z + v + q - 76, 0 = -z - 4*v + 33. What is the highest common factor of t and z?
11
Suppose -3*r = r - 20. Let a = -23 + 175. Suppose -4*c + a = 3*n, n + r*c + 182 = 5*n. Calculate the highest common divisor of 6 and n.
6
Let o(z) = 4*z - 4. Let v be o(3). Suppose 5*h + 5*l = 37 + v, h - 4*l = 19. What is the greatest common factor of h and 22?
11
Let g(i) = -i**2 + 3*i. Let o be g(3). Suppose o = 3*d - 81 - 54. Let t(k) = 4*k - 9. Let n be t(6). What is the greatest common factor of d and n?
15
Let s be (-378)/(-72)*(-32)/(-3). What is the greatest common factor of 14 and s?
14
Suppose -19 = -p + 23. Let n = p - 30. Calculate the highest common factor of n and 60.
12
Let s = -1 - -4. Let a be 1/s + (-392)/(-12). Suppose -j + 4*j - a = 0. What is the greatest common factor of 88 and j?
11
Let z = 54 + -27. Let q = 95 + -86. Calculate the highest common factor of q and z.
9
Let w = -38 - -23. Let i be (-78)/(-5) - 6/w. What is the highest common divisor of 16 and i?
16
Suppose -5*b = -2*v - 234, -447 + 3 = 4*v + 2*b. Let o = -77 - v. Calculate the highest common factor of 14 and o.
7
Let t(k) = k**2 - 9*k - 4. Let o be t(10). What is the highest common divisor of 9 and o?
3
Suppose -4*u + 132 = -260. Calculate the highest common divisor of u and 28.
14
Let w be 6/(-4)*6/9. Let h be (w - (-1 + 0)) + 16. Let f = 135 - 71. Calculate the greatest common factor of f and h.
16
Let c be 8 + -13 + (187 - -1). Calculate the greatest common factor of c and 61.
61
Suppose 2*u = 80 + 16. Suppose 0 = -5*l + 2*j + 50, -80 = -5*l - 4*j - 0*j. Calculate the greatest common divisor of u and l.
12
Suppose 2*d - 4*d - w = 203, -4*d - 4*w = 412. Let t be (-9)/(-1)*d/(-12). What is the greatest common divisor of 15 and t?
15
Suppose 100 = 12*s - 8*s.