
Let y(u) = 2*u**3 - 4*u**2 - 2*u - 5. Suppose 5*s - 8 = 17. Let c be y(s). What is the highest common factor of 15 and c?
15
Let j(o) = 0*o - 4*o + 6*o + 0*o. Let v be j(9). What is the greatest common factor of 162 and v?
18
Let b(i) = i**2 - i. Let w be b(-4). Suppose 3*d + 3*z = d + w, 9 = d + z. Calculate the greatest common factor of d and 14.
7
Let k(f) = 32*f**2 + f - 1. Let o(n) = n - 2. Let u = 7 - 4. Let s be o(u). Let a be k(s). What is the highest common factor of a and 8?
8
Let x = 18 + -8. Let r be (-6)/(-12) - (-6)/4. Let z be (15/r)/(-3)*-8. Calculate the highest common divisor of z and x.
10
Suppose -6*z = -282 + 114. What is the greatest common divisor of 4 and z?
4
Let j = 10 + 6. Suppose 9*y - 96 = 7*y. Calculate the greatest common divisor of j and y.
16
Let y(m) = 80*m + 1. Let c be y(1). What is the highest common divisor of 9 and c?
9
Let u be 5/(1/(-24)*-3). Let k be (-6)/(-4)*u/15. Calculate the highest common factor of k and 6.
2
Suppose -5*m = -106 + 21. Suppose 23*y = 25*y - 34. Calculate the greatest common factor of y and m.
17
Let p(b) = -b**2 - 8*b + 4. Let n be p(-8). Let d = 20 + -10. Suppose 0 = a + 3, -n*a + 8 = 5*z - d. What is the greatest common divisor of 3 and z?
3
Let d(m) = -9*m**2 + m. Let g be d(-1). Let u be 3/(-15) + (-2)/g. Suppose u*y + 24 = 3*j - 5*y, 24 = 3*j + y. What is the greatest common divisor of 12 and j?
4
Suppose -2*h = g - 0*g - 40, -5*h - g = -97. Suppose 0*f = -5*f + 15. Let n be 574/6 + (-2)/f. Calculate the highest common divisor of h and n.
19
Suppose -4*w - 109 = 5*f, 0 = f - 5*f - 4. Let c = -4 - 1. Let b = c - w. What is the highest common divisor of 147 and b?
21
Let w(o) = 3*o - 24. Let j be w(14). Calculate the greatest common factor of 66 and j.
6
Suppose -2*v = -3*b - 83, 129 = 3*v + 2*b - 5*b. Calculate the greatest common divisor of v and 23.
23
Let w = 1 + 5. Calculate the greatest common divisor of w and 4.
2
Suppose 0 = -4*n + 8, 4*k + n = -2*n + 690. Suppose 6*a + x - 73 = 2*a, -4*a + 2*x + 82 = 0. What is the greatest common factor of a and k?
19
Let x be 1 + (0 - 2) + 7. Let z be (-32)/(-6) - 3/9. Suppose x*g - z*g = 77. Calculate the highest common divisor of g and 11.
11
Suppose 375 = 13*a + 2*a. Calculate the highest common divisor of a and 75.
25
Suppose 0*h = 5*p + 5*h - 250, -h - 115 = -2*p. What is the highest common factor of p and 5?
5
Let j(h) = h - 2. Let p be j(6). Suppose -11 = -p*n + 37. Suppose 4*f - 30 = 3*f. Calculate the highest common factor of f and n.
6
Let m(d) = -d**3 + 6*d**2 + 8*d - 4. Let n be m(7). Suppose -n*i + l - 24 = -120, 0 = i - l - 30. What is the highest common divisor of 22 and i?
11
Let q = 21 - 39. Let p = 21 + q. Calculate the highest common divisor of 3 and p.
3
Let k be (80/64)/(2/16). What is the highest common divisor of 2 and k?
2
Suppose -4*b + 5*b - 33 = 5*j, -2 = 2*j. Calculate the greatest common factor of 70 and b.
14
Suppose 20 = 2*s - 0. Calculate the greatest common factor of s and 30.
10
Suppose v = -5*c + 5*v + 9, 2*v + 1 = -c. Calculate the greatest common divisor of c and 5.
1
Let r = -82 - -86. What is the greatest common factor of 104 and r?
4
Suppose -b + 39 = 2*b. Suppose 4*z - 4 = 0, 4*s - 2*z = -14 + 116. Calculate the greatest common divisor of b and s.
13
Let o be -1*(-5)/((-15)/(-24)). Let g(m) = 14*m - 9*m**2 + m**2 + m**3 - 4*m - o. Let z be g(7). Calculate the highest common divisor of 13 and z.
13
Let n = 47 - 24. What is the highest common factor of n and 23?
23
Let z(c) = c + 2. Let t be z(3). Let i be ((-64)/(-11) - -4) + (-2)/(-11). What is the greatest common divisor of t and i?
5
Suppose 3*q + 3*j = 9, -4*q - j + 18 = -0. Suppose 3*b + 2*a - 6 = 0, -11 + 1 = -q*b + a. Suppose g - 60 = -b*g. What is the highest common divisor of 2 and g?
2
Suppose -5*b = -u + 90, -u - 2*b + 95 = 26. Calculate the greatest common divisor of u and 15.
15
Suppose -5*t + 25 = 210. Let c = -25 - t. Calculate the greatest common factor of c and 36.
12
Let v(f) = 5 - 3 + 3*f + f**3 - 4*f**2 - 4*f**3 + 4*f**3. Let h be v(4). What is the greatest common divisor of h and 14?
14
Let u be (-320)/(-15) - 2/(-3). Suppose -3*i = 3*y + 5 - 23, 3*y = -i + u. Let w be 8*(-3)/(6/(-4)). Calculate the highest common factor of w and y.
8
Suppose -h = 2*h - 3*x - 351, 0 = -3*h + 5*x + 347. Let c be h/3 - 6/(-18). Calculate the highest common divisor of 8 and c.
8
Let a(h) = h**2 + h + 196. Let u be a(0). Suppose -29 = -o + 5*q, -6*q + 2*q = -4*o + u. Let m = -9 - -15. What is the highest common factor of o and m?
6
Let k(l) = l**2 - 9*l + 13. Let d be k(9). Calculate the highest common divisor of 13 and d.
13
Let i = -16 + 26. Calculate the greatest common divisor of i and 15.
5
Let k = -9 + 9. Suppose -6*p + 3*p + 324 = k. Calculate the highest common factor of p and 12.
12
Suppose 13 = -s - 4*t, 3*s - 4 = s - 2*t. Suppose -3*g + 61 - 13 = 0. Let d = 65 - g. What is the greatest common factor of d and s?
7
Suppose 2*m = 3*o + 84, o + 168 = 4*m - 0*o. Suppose 2*k = -k + m. Calculate the greatest common divisor of 98 and k.
14
Let s be (-1)/((4/(-7))/4). Let d(w) = 4*w - 7. Let k be d(s). Calculate the greatest common divisor of k and 14.
7
Let u be (-1652)/(-56)*(0 + 10). Calculate the highest common divisor of u and 118.
59
Let x(y) be the third derivative of -17*y**4/12 + y**3/6 + y**2. Let h be x(-1). Suppose 5*t = -185 + 210. Calculate the greatest common divisor of h and t.
5
Suppose 4*g + 0*g - 4 = 4*q, 2*g + 5*q - 37 = 0. Suppose -4*w - 4 = 0, -2*w = -3*x - g*w - 1. Let t = 10 + -6. Calculate the greatest common factor of t and x.
1
Suppose -4*x = -3*x - 121. Let a = -11 - -8. Let v = 8 - a. Calculate the highest common divisor of v and x.
11
Let b = 5 - 3. Let c be -522*(3/2 - b). Suppose 4*v + 45 = -4*z + 313, c = 4*z - 3*v. Calculate the greatest common factor of z and 6.
6
Let n be -1 - 1 - (-2 + -26). What is the highest common divisor of 78 and n?
26
Suppose -330 = -2*f - 3*f. What is the greatest common divisor of 6 and f?
6
Let r = 82 - 69. Calculate the greatest common divisor of r and 65.
13
Let o be (-1)/2 - 516/(-24). What is the highest common divisor of 147 and o?
21
Let q(s) = -3*s**2 + 2*s + 1. Let l be q(-1). Let i(n) = n**2 + 3*n + 2. Let w be i(l). Calculate the greatest common divisor of w and 24.
6
Suppose 47 = 4*d - 13. Let w be 1 + -1 + 7 + 3. Calculate the highest common factor of d and w.
5
Let u(r) = 38*r - 1. Let w be u(1). Let t = 79 - w. Suppose -12*z + 24 = -8*z. What is the highest common factor of t and z?
6
Let d be 572/(-88)*(2 + -2*20). Calculate the highest common factor of d and 13.
13
Let u(j) = -2*j + 10. Let o be u(0). Suppose o = 5*y - 3*y. Calculate the greatest common divisor of 5 and y.
5
Let v be 1080/48 - 2/(-4). What is the greatest common divisor of 368 and v?
23
Let d be (1/1)/((-1)/(-11)). Suppose -5*g - 2*x + 350 = -31, -10 = 5*x. Calculate the highest common divisor of g and d.
11
Let m be 368/60 + -6 - (-1496)/30. Calculate the highest common divisor of 25 and m.
25
Suppose -10 = -2*n + f, 4*n - 2*f - 16 = -f. Let z(x) = x + 9. Let u be z(-8). Calculate the greatest common factor of n and u.
1
Suppose j - 1 - 2 = 0. Let h = -3 + 6. Suppose -16 = -5*a + 9, -h*a = -o + 12. Calculate the greatest common divisor of o and j.
3
Let u = -8 - -15. Let m be (-1)/(-4) + 695/4. Let y = m + -111. Calculate the highest common factor of u and y.
7
Suppose 0 = -3*z + 2*n - n + 28, 3*z = 3*n + 30. What is the greatest common factor of z and 9?
9
Suppose -38 = -3*w + 151. Suppose 7 = -n + 2*n. Calculate the highest common factor of n and w.
7
Suppose 2*h - 3*a - 4 = 0, h = 3*a - 4*a + 2. Let z = h - -11. Let l = 24 - z. What is the greatest common divisor of l and 55?
11
Let g = -36 - -28. Let x be (-51)/(-15) - g/(-20). Calculate the highest common divisor of 12 and x.
3
Suppose -3*l = -5*l - 4*n + 216, -l = -3*n - 113. What is the greatest common factor of 10 and l?
10
Let h be ((-924)/16)/((-9)/24). Suppose -5*p + h + 126 = 0. What is the greatest common factor of p and 7?
7
Let f = -26 - -37. Let p(r) = 8*r - 6. Let s be p(6). Suppose 0 = -5*t + 3*z + s - 2, -2*t - 3 = -5*z. Calculate the highest common factor of f and t.
11
Suppose 2*v + 3*v - 825 = 0. Let w(q) = q**2 + 2*q.