
11
Suppose 2*z + 7 - 19 = -h, 0 = 2*h - 2*z - 18. Calculate the greatest common divisor of h and 5.
5
Let k(f) = -37*f**3 - 2*f**2 - 2*f - 1. Let i be k(-1). What is the greatest common factor of i and 324?
36
Suppose -o = -3*q + 10, 2*o - 35 = -o - 4*q. Suppose o = f - 15. Calculate the highest common factor of f and 5.
5
Let c(s) = 2*s**2 + 15*s + 7. Let f(v) = -3*v**2 - 23*v - 11. Let i(o) = 7*c(o) + 5*f(o). Let h be i(-7). What is the greatest common divisor of h and 45?
15
Let h(d) = 6*d**2 + 6*d + 5. Let f be h(-4). Let l = -6 - -11. Suppose 0 = l*p + 5*q - 80, 2*p = -3*q + 2*q + 27. What is the greatest common factor of p and f?
11
Suppose 5*p - 45 = 5. What is the highest common factor of p and 2?
2
Suppose 2*h + 18 = 5*w - 11, 6 = 2*h. Let j = -7 + w. Suppose 3*t - 2*l - 250 = j, -2*t + 105 = -t - 5*l. Calculate the highest common divisor of 32 and t.
16
Let x(p) = -p**3 - 7*p**2 - 7*p - 2. Let v be x(-5). Let o be ((v - 1) + 1)*-1. Calculate the highest common factor of o and 51.
17
Let y = -2 - -5. Calculate the greatest common factor of 12 and y.
3
Let g(w) = w**3 - 9*w**2 - 8*w + 13. Let j be g(10). What is the greatest common factor of j and 55?
11
Let k = 258 - 104. Suppose 4*q - 36 = 20. What is the greatest common divisor of k and q?
14
Let y(p) = -3*p - 8. Let d be y(11). Let h = d - -69. Calculate the highest common divisor of 196 and h.
28
Suppose -3*h = -38 - 34. What is the greatest common factor of 8 and h?
8
Let p = -1 - -10. Let r = 111 - 39. Calculate the greatest common factor of r and p.
9
Let z(h) = h**3 - 4*h**2 - 14*h - 5. Let y be z(7). Calculate the highest common divisor of 66 and y.
22
Suppose 3*v = -n - 4*n + 359, 295 = 4*n + 5*v. Let x = 21 - -6. Let z = x - -1. Calculate the highest common divisor of n and z.
14
Let a = -70 + 115. Suppose 8*w = 109 + 131. What is the highest common factor of a and w?
15
Let g(z) = z + 3. Let x be g(-5). Let n be (-1)/(-2)*(10 - x). Let o be (-3 - 6)*(-6)/9. What is the greatest common factor of n and o?
6
Let z be 78 - (-2 - (-4)/2). Suppose -u = 2*u + z. Let r be (-21)/(u/(-16) + -2). What is the greatest common divisor of r and 14?
14
Suppose -2*r + 4*r = 0. Suppose 2 = z + 7. Let j = r - z. What is the greatest common divisor of j and 5?
5
Suppose -2 = -2*y - a - 5, 0 = y + a + 3. Suppose 0*o + 4*o - 32 = y. Suppose 2*l = -0*l + 112. Calculate the greatest common factor of l and o.
8
Suppose -5*y + 5 = -35. Let r(o) = o - 3. Let c be r(y). Let f(u) = 3*u + 7. Let v be f(c). Calculate the highest common factor of v and 2.
2
Suppose 24 = -2*n + 3*n. Calculate the greatest common divisor of n and 3.
3
Let k = 29 + -26. Calculate the greatest common factor of 3 and k.
3
Let j(p) = 74*p**2 - 3*p - 2. Let h be j(-1). Calculate the highest common divisor of h and 30.
15
Suppose 0 = -p + 5*p - 3*n - 16, -p + 3*n = -4. Suppose 0 = 2*l - 4*k - 22, -5*l + p*l - 3*k = 14. What is the highest common factor of l and 1?
1
Let k = -21 - -10. Let w = k + 14. What is the highest common divisor of w and 21?
3
Let x = 69 - 5. Calculate the greatest common factor of x and 8.
8
Suppose 4*o - 130 = -22. Let a(m) = m**3 - 3*m**2 + 4*m - 5. Let y be a(4). What is the highest common divisor of o and y?
27
Let v = 134 + -94. Calculate the highest common factor of v and 16.
8
Let d = 3 - -1. Suppose 0 = d*u - 84 - 252. What is the highest common factor of u and 21?
21
Let w = 0 + 2. Let r = 6 + -3. Calculate the highest common divisor of r and w.
1
Let u be ((-5)/(-15))/(1/3). What is the greatest common factor of u and 3?
1
Suppose -w + 3*i + 73 = 0, -w + 29 = 5*i - 36. Calculate the highest common factor of 7 and w.
7
Let z(s) = -s - 4. Suppose -28 = 4*x - 0. Let q be z(x). Suppose -a + 33 = 9. Calculate the highest common divisor of q and a.
3
Let l be (-10)/2 - (-2 + 1). Let r be (-4)/(l/9) + 0. Calculate the highest common divisor of 99 and r.
9
Let x be (-4)/2*(25/(-10) - 0). Calculate the highest common divisor of 2 and x.
1
Let i(d) = -d**3 + 8*d**2 - 8*d - 8. Let f be i(7). Let y = 23 + f. Calculate the highest common factor of 8 and y.
8
Let w = -73 - -89. Calculate the greatest common factor of w and 40.
8
Let n be (-6)/2*-5 + 0. What is the greatest common divisor of 30 and n?
15
Let j be (-4)/(-18) + (-7)/(-9). Let q be j/((-2)/(-1 + -1)). Calculate the highest common factor of q and 1.
1
Suppose -5*z - 13 + 317 = -h, -2*h + 172 = 3*z. Calculate the highest common factor of 90 and z.
30
Let z = 14 - 10. Suppose 4*b = 3*w - 5, 0*b - z*b + 4*w = 0. Let j = 8 + b. What is the highest common factor of 12 and j?
3
Let j = -2 + 4. Suppose -j*c + 28 = -3*n, -9 = -c - 0*n - n. What is the highest common divisor of c and 121?
11
Suppose -u + 3*u = -y - 6, 8 = 4*u - 3*y. Let c be 7 + 5 - (u - 1). Suppose 3*v - 10 = c. Calculate the highest common divisor of 8 and v.
8
Let d = -22 + 31. Suppose 5*u - 20 = -5. What is the highest common divisor of u and d?
3
Let l = -29 - -48. Let k be 6/(1 + 5/(-2)). Let n(u) = 5*u**2 - 4. Let t be n(k). Calculate the greatest common factor of l and t.
19
Let i(h) = -h**3 + 5*h**2 - 3*h - 2. Let a be i(3). Calculate the highest common factor of a and 1.
1
Let v be 32/(-40) + 679/5. What is the greatest common factor of v and 54?
27
Let j = 65 - 64. Calculate the greatest common divisor of 3 and j.
1
Suppose v + 3*r = 4*v - 264, 0 = 3*v + 2*r - 264. Calculate the greatest common divisor of 8 and v.
8
Let x = -15 - -14. Suppose -2 = w - 3*u - 5, -3*u - 21 = -4*w. Let z be (w/x + -1)/(-1). Calculate the greatest common factor of 28 and z.
7
Let w = 60 + -39. Let b(f) = -15*f**3 - 2*f**2 + 1. Let m be b(-1). Calculate the greatest common factor of w and m.
7
Suppose 7*j - 223 + 6 = 0. Calculate the greatest common factor of j and 248.
31
Let m be (-2)/7 + 32/14. Let c(v) = v**3 + 6*v**2 - 2*v + 2. Let d be c(-6). What is the highest common factor of m and d?
2
Let h be (-6)/(2 + (-14)/4). Suppose 3*u - h*u = -10. Calculate the highest common factor of u and 30.
10
Suppose 3*v - 3*g + 2*g = 25, 0 = 3*g - 6. What is the greatest common factor of v and 72?
9
Let x(f) = f**3 - 5*f**2 - 4*f - 4. Let a be x(6). Let q be 3*((-20)/(-12) - 1). Calculate the greatest common divisor of q and a.
2
Let i(v) = -v**3 + 6*v**2 + v + 16. Let j be i(6). Suppose -27 - 39 = -2*g. Calculate the highest common divisor of j and g.
11
Let a be (-64)/(-2 + 6/4). Suppose 4*n - 416 = -a. Let i(d) = -d + 1. Let j be i(-8). What is the highest common factor of n and j?
9
Suppose -5*v + 504 = -v. What is the greatest common factor of 14 and v?
14
Suppose 3*g - 2*u - 250 = 0, -5*g = -3*g + 3*u - 145. Calculate the highest common factor of g and 10.
10
Let g = 0 + -2. Let h be g/(-1) + (-46)/(-1). Let x(r) = r**2 + 8*r + 4. Let q be x(-10). Calculate the highest common divisor of q and h.
24
Let q = -402 - -1187. Let w = -416 + q. Suppose -115 - w = -4*u. What is the greatest common divisor of 11 and u?
11
Let f = -3 - -7. Suppose 128 = 3*d - f*l, -l = d - 10 - 28. What is the highest common factor of d and 16?
8
Suppose 0*b - 864 = -6*b. What is the greatest common divisor of b and 16?
16
Suppose 0*c + 11 = -5*p - 3*c, 4*p - 3*c = -25. Let m(f) be the first derivative of -f**2 - 2. Let q be m(p). What is the highest common factor of q and 56?
8
Suppose -4*r + r = -39. Let f be 2529/39 + (-4)/(-26). Calculate the highest common divisor of f and r.
13
Let w(z) be the third derivative of -z**5/60 - 5*z**4/12 - 2*z**3 + 4*z**2. Let f be w(-8). Calculate the greatest common factor of f and 1.
1
Suppose -5*k + 0*k + 552 = 2*y, 0 = 3*y + 5*k - 818. Calculate the highest common divisor of 19 and y.
19
Let a be 4/(-12) + (-66)/(-9). What is the greatest common factor of 98 and a?
7
Let u be (-1)/(5*8/(-80)). Suppose -16 = -0*d - 2*d. Calculate the greatest common divisor of u and d.
2
Let y(a) = a**3 - 5*a**2 - 3*a - 7. Let q be y(6). Let d = -286 + 407. What is the highest common divisor of d and q?
11
Let t = 8 - 5. Let j = 60 - 33. What is the greatest common factor of j and t?
3
Let h = 13 - 13. Suppose h = -3*m - 55 + 307. What is the highest common factor of 21 and m?
21
Let t be -2 + 14*1/1. Suppose 2*c - c = -l - 3, -3*c = 4*l + 7. Suppose -z - l*z = -t. What is the highest common factor of 