t d(g) = 3*g**2 + 9*g - 6. Let b be d(-8). Let f be b/4*12/9. Suppose -3*t = 4*q - f, 0 = -t - 2*t + 6. What is the highest common factor of q and 1?
1
Let w be 4/(4/9) + 1. Calculate the highest common factor of w and 20.
10
Suppose 0 = -3*y - w + 46, -y + 26 = y + 3*w. Let n be (1 + -21)*12/(-15). What is the greatest common divisor of n and y?
16
Suppose 5*c - 4 = -34. Let f be (-66)/(5/(45/c)). What is the highest common factor of 11 and f?
11
Let f(n) = -n**3 + 5*n**2 - 4*n - 1. Let t be f(3). Let j = 3 + t. Let a be 1/(-1 - (-10)/j). What is the highest common factor of a and 4?
4
Let v(c) = 12*c - 1. Let i be v(1). What is the greatest common divisor of 88 and i?
11
Let g be (-33 + -1)*(-2)/4. Calculate the greatest common factor of g and 34.
17
Suppose -5*p = 5*t + 25, -2*t + 5*p = p - 8. Let x be (-10)/55 + t/(-11). Suppose -20 = -j - x. What is the greatest common divisor of j and 180?
20
Let f(t) = -7*t**2 + 2*t. Let l(g) = g. Let k(w) = -f(w) + 3*l(w). Let p be k(-1). Suppose -4 = -4*d - 0*d. Calculate the highest common factor of p and d.
1
Suppose 87 = 5*s + z - 24, -4 = z. Calculate the greatest common divisor of s and 115.
23
Suppose 40*p - 47*p = -77. Calculate the highest common divisor of 2 and p.
1
Let w = 29 + -20. Calculate the highest common factor of w and 9.
9
Suppose -4*w + 5*w - 2 = 0. Calculate the greatest common factor of w and 2.
2
Let s(q) = -3*q + 7. Let x be s(0). Calculate the highest common divisor of x and 14.
7
Let q(w) = w**3 - 4*w**2 + w - 2. Suppose 10 = 2*p + 2. Let x be q(p). What is the highest common divisor of x and 10?
2
Let g(h) = 12*h - 4. Let y be g(3). Suppose -4*l + 2 = p - 2, 0 = -3*l. What is the highest common divisor of p and y?
4
Let p = 9 + 11. Calculate the greatest common factor of 4 and p.
4
Suppose -3*p + 2*t + 1 = -0*p, 3*p + 34 = -5*t. Let b(w) = -3*w. Let a be b(p). What is the highest common divisor of a and 27?
9
Let m be (-80)/(-12) + 1/3. Let s be 1/((7/54)/m). Calculate the greatest common factor of s and 6.
6
Let h(d) = 9*d - 9. Let r be (-6 - -10)/((-4)/(-6)). Let y be h(r). Let l be 27/5 - 4/10. Calculate the highest common factor of l and y.
5
Suppose -3*m - 111 = -6*m. Let j = -4 + m. Let v(q) = -q**3 - 5*q**2 - q - 2. Let b be v(-5). Calculate the highest common factor of j and b.
3
Let t = 74 + -70. Let f(i) = -i**3 + 6*i**2 - i. Let y be f(4). Calculate the greatest common divisor of y and t.
4
Suppose -40 = 4*o - 128. Calculate the highest common divisor of 2 and o.
2
Let d(j) = 7 + 5*j**3 - 2*j**3 - j**3 - j + 5*j**2 - 3*j**3. Let z be d(5). Suppose 57 + 111 = z*v. What is the highest common factor of 12 and v?
12
Let t be ((-8)/5)/(2/(-5)). Suppose -2*b - t*p = -24, -2*b = -b - 2*p + 8. Suppose 3*i = b*i + 54. Calculate the highest common factor of 6 and i.
6
Let i = 103 - 18. What is the highest common factor of 34 and i?
17
Let j = 14 - 6. Suppose -5*a + 23 = -2*s, 2*a - 14 - j = 4*s. Suppose -55 = -5*o + 3*g, 5*o - g - 60 = a*g. What is the highest common factor of 56 and o?
8
Let l = 8 + -11. Let x(n) = -3*n - 3. Let s be x(l). What is the highest common factor of 6 and s?
6
Suppose 2*c + 43 = 3*p, 2*c - 6 = -p - 5. Calculate the greatest common factor of p and 11.
11
Let w(u) = -u**2 + 22*u - 22. Let q be w(16). What is the greatest common divisor of 37 and q?
37
Suppose -4*q - 12 = 0, -z - q = -2*q - 9. What is the highest common factor of 66 and z?
6
Let t be (-4)/(-6)*(-7 - -196). Calculate the highest common divisor of t and 14.
14
Suppose 0 = 2*o - 17 + 3. Calculate the highest common divisor of 14 and o.
7
Suppose 5*t + 34 = 7*t. Suppose 35 = -3*z + 965. Let w be (-2)/9 - z/(-18). Calculate the highest common divisor of t and w.
17
Suppose 7*m - 135 - 810 = 0. Calculate the greatest common factor of m and 15.
15
Suppose 4*b - 9 = -3*h - 0, 3*b - 9 = 0. Let w be 0 + (-2 - h - -6). Let x be (6 + -1)/((-1)/(-3)). What is the greatest common factor of w and x?
5
Suppose -5*p - 8 = 2. Let w(s) = s**2 + s - 2. Let k be w(p). Let c = k + 2. What is the highest common factor of c and 8?
2
Let o = 3 + 5. Let s be ((-408)/(-510))/(2/20). What is the highest common divisor of o and s?
8
Let r(g) = 7*g**3 - 4*g**2 - 3. Let d be r(3). Calculate the greatest common factor of d and 25.
25
Suppose 2*k + 3*k - 421 = -4*r, 0 = 3*k + 2*r - 251. Calculate the greatest common divisor of 9 and k.
9
Suppose 22 = -2*d + 70. Calculate the highest common divisor of d and 120.
24
Let o = 5 - 3. Suppose w - 3*w - 4*a - 10 = 0, o*w - 25 = 3*a. Suppose w*b - 35 - 25 = 0. Calculate the highest common factor of b and 84.
12
Let h = 17 - -7. Calculate the highest common factor of h and 60.
12
Let a = -6 + 36. Calculate the highest common factor of 30 and a.
30
Suppose 0*c - 220 = -4*c. Let u = -2 + 2. Suppose p + u = 5. What is the greatest common divisor of c and p?
5
Suppose 13 = 3*d - 2*d + 3*i, -12 = -4*d - 4*i. Let c be -4 + 7 - d/1. Suppose c*k = 8*k - 108. Calculate the highest common factor of k and 12.
12
Let l be 1*(6/(-2) + 40). Suppose -5*t - 8 = l. Let k be t/(1 + 69/(-66)). Calculate the greatest common factor of 22 and k.
22
Let j(g) = -3 + 3 + 4 + 6*g + g**2 + 2. Let d be j(-6). Calculate the greatest common divisor of 6 and d.
6
Suppose -4*k + 99 = 19. Let m(f) = f**2 + 0*f**2 - 2*f + 3 - 10. Let r be m(5). What is the greatest common divisor of k and r?
4
Let h = -35 + 93. Calculate the greatest common factor of 29 and h.
29
Let h be 3*4*(-1)/2. Let f = 222 + h. What is the highest common factor of 24 and f?
24
Let y be (-12)/(-1) - (1 - 3). Let f(b) = -3*b + 4*b - 1 - 7*b + 2*b**2. Let i be f(6). What is the highest common divisor of i and y?
7
Let g be 2/6 - 185/15. Let h = g - -28. Calculate the greatest common factor of h and 32.
16
Suppose -3*h = -0*h - 108. Let q(m) be the second derivative of -m**3/3 + 3*m**2/2 - m. Let y be q(-3). What is the greatest common factor of y and h?
9
Suppose 0 = -5*w + 3*t + 225, 0 = -2*w - 2*w - 2*t + 158. What is the greatest common factor of 21 and w?
21
Let k = 4 - -10. Suppose -3*a + 0*o - o = -425, -a + o + 135 = 0. What is the greatest common factor of a and k?
14
Let s be 152/2 - 19/(-19). Calculate the greatest common divisor of s and 7.
7
Let f(i) = -i**3 - i**2 + i + 1. Suppose h + 3*l - l = 0, 4*l = -h. Let q be f(h). Let j be 8/(-12) + (-34)/(-6). What is the highest common divisor of j and q?
1
Let h be 252/5 - (-26)/(-65). What is the highest common factor of h and 150?
50
Let w be (0*(-3)/(-6))/2. Suppose w*q = -q + 44. What is the greatest common divisor of q and 4?
4
Let k(f) = 11*f**2 - 5*f + 4. Let z be k(3). What is the highest common divisor of 22 and z?
22
Let z = 48 + -80. Let k = -23 - z. What is the highest common divisor of 9 and k?
9
Let c = 4 + 20. Let b(z) = -2*z**2 + 12*z - 7. Let y be b(5). Suppose -y*o - 6 = -2*j + 3, -o - 55 = -5*j. Calculate the greatest common factor of j and c.
12
Let p = -8 + 13. Suppose 21 = 3*c + 3*r, 3*c + p*r = c + 20. Let m = 17 - c. Calculate the highest common divisor of m and 84.
12
Let c = 1 + 5. Let g(x) = -2*x - 7. Let a be g(-5). Calculate the highest common divisor of c and a.
3
Let b = -1 + 3. Suppose b*u + 4 = 4*u. Suppose w + 40 = u*w. Calculate the highest common factor of 5 and w.
5
Suppose -5*c = -z - 900, -360 = -2*c - z + 2*z. What is the greatest common divisor of c and 20?
20
Let n be ((-4)/8)/((-4)/264). What is the greatest common divisor of 11 and n?
11
Suppose -l = -5*l. Suppose -5*q - 1 - 4 = 0. Let w be ((-2)/(-2))/(l - q). Calculate the highest common divisor of 9 and w.
1
Suppose 0 = 5*p + 2*m - 12, -7 = -3*p - 5*m + 4. Suppose -h = p, 2*n - 2*h = -3*h + 118. Calculate the highest common divisor of 12 and n.
12
Let u(c) = -3*c + 1. Suppose -5*k = -4*i - 28, k - 2 = 2. Let x be u(i). Calculate the greatest common divisor of 35 and x.
7
Let m(s) = -s**2 + 11*s - 12. Let r be m(8). Calculate the highest common divisor of 60 and r.
12
Let g(u) = u**3 - 8*u**2 + 8*u + 6. Let n be g(7). What is the highest common divisor of 78 and n?
13
Let d(x) = -21*x. Let c be d(-1). Let l = c - 4. Let h = 0 + 17. Calculate the greatest common factor of l and h.
17
Suppose 3*s + 8 + 1 = 0. Let t be (s + 9/5)*-30. Suppose -5*c + 20 = -0*c. Calculate the highest c