1. Let q be n(-2). What is the greatest common divisor of q and 77?
11
Let s = -7 - -7. Suppose -4*q + k = -20, -2*k - k = s. What is the greatest common factor of q and 55?
5
Let x(d) = d**3 - 5*d**2 - 3*d - 4. Let r = -12 + 18. Let y be x(r). Suppose 9*t = 4*t + 350. Calculate the highest common divisor of y and t.
14
Let i be ((-42)/4)/(2/(-8)). Calculate the highest common factor of 6 and i.
6
Suppose -3*d = 2*d - j - 16, -5*j - 2 = d. Let c = 2 + 7. Calculate the greatest common divisor of c and d.
3
Suppose d + 3*d - 52 = 0. What is the greatest common divisor of 13 and d?
13
Suppose 0 = 2*a + b - 23, -2*b + 42 = 3*a + 2*b. Let j(p) = p**2 - 9*p + 2. Let r be j(9). Suppose z = a + r. Calculate the greatest common factor of z and 132.
12
Let k = 4 - -4. Let n = -4 + 6. Calculate the greatest common factor of n and k.
2
Suppose 0 = -5*k - 2*n + 884, -710 = -4*k - n - 2*n. Suppose 3*l + 5*f - 53 = 0, -2*l + 4*f = f - 29. Calculate the highest common divisor of l and k.
16
Let n(y) = y**2 + 21*y - 53. Let i be n(-24). What is the highest common divisor of 57 and i?
19
Suppose 16*r - 15*r = 10. Calculate the greatest common divisor of r and 80.
10
Let s be (4 - -1)*(-24)/(-20). Suppose 2*p + 4*d = d - 232, 4*p + 4*d = -464. Let c be p/(-20) - (-2)/10. Calculate the highest common divisor of c and s.
6
Let y = -2 - -3. Let v = 7 + -2. Suppose 0 = -3*b - v*m + 38, 4*b - 13 - 27 = 4*m. Calculate the highest common divisor of y and b.
1
Let x be 9/6*(-12)/9 + 19. What is the greatest common divisor of 17 and x?
17
Suppose u - 9 = -2*x - 0*u, 3*x + 5*u = 31. Suppose 5*j - 54 = 2*o, -x*j - j + 2*o = -30. What is the highest common factor of j and 30?
6
Let c be (-34)/6 + (-6)/(-9). Let p(v) = -v**2 - 5*v + 6. Let r be p(c). Let g be 40 + r/(-3) - 2. Calculate the highest common factor of g and 18.
18
Suppose 10 = 4*h - 14. Calculate the highest common factor of 9 and h.
3
Let n(t) be the second derivative of -t**5/20 - t**4/3 + 2*t**3/3 + 3*t**2 + t. Let r = -12 - -7. Let a be n(r). What is the highest common divisor of a and 77?
11
Let c(w) = 10*w**2 + 3*w. Let q be c(-2). Suppose -5*a + 51 + q = 0. Calculate the highest common factor of a and 119.
17
Let i = 45 + 0. Suppose -7*c + 8*c + 15 = 0. Let a(x) = -x**2 - 17*x - 12. Let r be a(c). Calculate the highest common factor of r and i.
9
Let t = -7 - -112. What is the greatest common divisor of t and 35?
35
Let x(k) = k**3 + k**2 - 4. Let d be x(3). Suppose -d = 4*t - 88. Calculate the greatest common divisor of t and 35.
7
Suppose g + 1 + 4 = 0, u - 4*g = 56. Let c = 113 - u. Calculate the greatest common factor of c and 11.
11
Suppose 0*w = -3*w. Let c be (-64)/(-28) + (-2)/7. Let n = c + w. What is the greatest common divisor of 4 and n?
2
Let y be 14/4*2/(-1). Let v(o) be the third derivative of -o**4/24 - 2*o**3/3 + o**2. Let k be v(y). Calculate the highest common divisor of k and 30.
3
Suppose -2*b + 9*b = 273. Calculate the greatest common divisor of 26 and b.
13
Let v be 44/(-6)*(-6)/4. Let f = 68 - -9. Calculate the greatest common factor of v and f.
11
Let u(s) = -5*s + 2. Let d be u(-3). Let k be (-84)/112 + (0 - 207/(-4)). Let r = k - d. What is the greatest common divisor of r and 85?
17
Let w be 7/(3/(-1 + 4)). Suppose -33 = -4*s - 5. What is the greatest common divisor of s and w?
7
Let y be (0/4 - -24) + 2 + -1. What is the greatest common factor of 10 and y?
5
Suppose -4*s + 53 = 3*n, 4*s - 18 = -n + 37. Suppose 5*j = -2*p + 2 + 58, -2*j = 4*p - 136. What is the highest common divisor of p and s?
7
Let d(m) = 3*m**2 - 4*m + 4. Let z be d(4). Calculate the highest common factor of z and 9.
9
Let s be (0 - -1)*(1 - 0). Let d = 5 + -5. Suppose -2*v + 23 = 4*k - 5*v, d = -2*k - 5*v + 31. What is the highest common factor of k and s?
1
Suppose -5*d + 25 = -25. What is the greatest common factor of d and 90?
10
Suppose -3*s + c = -29, -2*s + 5*c = -s + 9. What is the highest common divisor of 77 and s?
11
Let h be (48/28)/(-2)*-14. Let q be (9/3)/3*6. What is the greatest common divisor of q and h?
6
Suppose -5*r - 4 - 21 = -3*w, 2*w - 3*r = 17. Let j be (-20)/((-3 - -1) + 0). What is the highest common factor of w and j?
10
Let w = -61 - -73. What is the highest common divisor of w and 12?
12
Let m be (1 + 1)/((-3)/(-126)). Let d be (-1 + 2 - 1) + m. Suppose 21 = -2*v - 4*g + 77, 3*v = 4*g + d. What is the highest common factor of v and 7?
7
Suppose -g + 3*l = -2*l + 3, 4*l - 60 = -4*g. Suppose 6 = 5*f + 2*p, -3*p = 5*f - 2*p - 8. Calculate the greatest common factor of g and f.
2
Let h(b) = -b**3 - b**2 - 2*b - 1. Let i be h(-1). Let j be 64/(-20)*-5*i. What is the highest common divisor of j and 112?
16
Let g = 12 - -27. What is the greatest common factor of 26 and g?
13
Let i be 11/44 - (-14)/8. Suppose 5*w - i*c - 242 = 0, 1 = -2*c + c. Calculate the highest common factor of 12 and w.
12
Let h be 1*-10*(-2 + 1). Let c(f) = f**2 - 8*f - 13. Let r be c(h). Calculate the greatest common factor of r and 56.
7
Let b = -40 - -68. Suppose 2 = 2*j - b. Calculate the highest common factor of 75 and j.
15
Let o = 49 - 34. Let m = -34 - -79. What is the greatest common divisor of o and m?
15
Let q = 262 - 139. What is the highest common factor of q and 82?
41
Let y(d) = d + 14. Suppose 4*g - s + 58 = s, -3*g = -3*s + 48. Let w be y(g). Suppose 4 + w = 5*q. What is the highest common divisor of q and 4?
1
Suppose -5*u - 3*h = -300, 3*u + 0*h - 174 = -3*h. What is the highest common factor of 7 and u?
7
Let w(a) = -8*a**3 + a + 1. Let q be w(-1). Suppose 3*d = 4*v - 3 - 6, v + 5*d - q = 0. Suppose v*l - 4 = 2*l. What is the highest common factor of l and 12?
4
Suppose -q + 5*q = 24. Let k be 100/q - (-4)/(-6). Calculate the greatest common factor of 112 and k.
16
Suppose 2*w = -10, -9 + 22 = -2*q - 3*w. Let c(v) = -v**2 - 9*v - 8. Let n be c(-9). Let s = -5 - n. What is the highest common factor of s and q?
1
Let t = 34 - 28. Calculate the highest common divisor of t and 4.
2
Let u = -5 + 13. Suppose -w + 4 = -2*n, 27 = 5*w + 2*n - 5. Let h(t) = -t**3 + 8*t**2 - 8*t + 8. Let m be h(w). What is the highest common divisor of m and u?
8
Suppose -10*y + 47*y = 370. Let j be (1*-2)/2 + 3. Calculate the highest common factor of j and y.
2
Suppose -f - 223 = -4*v, 2*v - 95 = -5*f - 0*f. What is the greatest common divisor of v and 11?
11
Let x be (-1 + 4)*4 - 0. Let m be 5 + (5 - 56/(-4)). Calculate the greatest common divisor of m and x.
12
Suppose 0 = 2*q - 26 - 86. What is the greatest common factor of q and 84?
28
Let b = 106 - 94. Calculate the greatest common divisor of 30 and b.
6
Let v(q) = q**2 - 1. Let g(w) = -3*w**2 + w + 2. Let t(d) = -g(d) - 2*v(d). Let i be t(-1). Suppose 0*l = -l + 1. What is the highest common divisor of l and i?
1
Suppose -27 = -0*s + 3*s. Let x = s - -18. What is the highest common divisor of 3 and x?
3
Let o be (-6)/1*(-52)/6. Let d be ((-618)/24 - (-2)/(-8))/(-1). What is the highest common divisor of d and o?
26
Let v(y) = y**3 + 8*y**2 - 2*y + 14. Let x be v(-5). Calculate the highest common divisor of x and 33.
33
Let l = 117 + -82. Calculate the highest common divisor of 5 and l.
5
Let a be ((-6)/(-5))/(6/15). Suppose -56 = -c - a*c. Let l = 33 + -19. Calculate the highest common divisor of l and c.
14
Let x be (33/(-6))/((-5)/20). Suppose 3*g - x = 2. What is the highest common divisor of 8 and g?
8
Suppose -g - 5*g = -30. Suppose -x + 47 - 5 = 0. Let u = x - 17. Calculate the greatest common divisor of g and u.
5
Suppose 0*z - 4*z = -k + 7, 4*k - 85 = -3*z. Suppose 0 = -2*w - 3*y + 33, k = 4*w - 3*w + y. Calculate the highest common divisor of w and 6.
6
Suppose b + b + 8 = 0. Let w be (-9 - 0)/((-12)/(-8)). Let r = b - w. Calculate the greatest common factor of r and 18.
2
Let f(n) = n - 2. Let h be f(3). Let l be (0 - (-12)/4) + (-1 - -1). Calculate the greatest common divisor of l and h.
1
Suppose 0 = 4*f + 3*f - 126. Calculate the highest common factor of 18 and f.
18
Let i(b) = 3*b**3 + b**2 - b + 1. Let w be i(3). Let c(n) = -n + 2 + 0*n - 1. Let a be c(-7). What is the greatest common divisor of a and w?
8
Let z be (2 + -2)*(-3)/(-6). Suppose -f + 3*f - 30 = z. What is the greatest common factor of f and 3?
3
Let s = 262 + -136. Calculate the gr