4. What is the greatest common divisor of a and 9?
9
Suppose -34 - 74 = -3*h. Calculate the highest common divisor of h and 54.
18
Let r = -4 - -7. Let b be (-3)/3*(-12)/r. Suppose 5*w = 11 + 69. Calculate the highest common divisor of b and w.
4
Let h = -4 - -7. Calculate the greatest common factor of h and 2.
1
Suppose -2*s = -4*s + 8. Let z = 65 - 30. Let u be 2/s + z/2. Calculate the highest common factor of u and 27.
9
Let s be 6/27 - 2505/(-27). Suppose -q - 105 = -2*x, -2*x = -4*q - q - s. Suppose -4*g = -46 - x. What is the greatest common factor of 10 and g?
5
Suppose 3*i + 4*i = 21. What is the greatest common factor of i and 9?
3
Let h(k) = k**3 + 7*k**2 + 3*k + 6. Let c be h(-6). Suppose -2*m + 2*v + 0 = -88, 4*m - 5*v - 172 = 0. Calculate the greatest common factor of c and m.
24
Let m be 1/(-2)*-4 - 15. Let a = 1 + m. Let o be -2*1 - 1*a. What is the greatest common factor of o and 70?
10
Suppose 0 - 2 = -2*b. Suppose -7 = -4*j - x, -2*j + 3*j + 2*x = 0. Let y = j + 5. Calculate the highest common factor of b and y.
1
Let v(y) = -3*y + 2. Let o(j) = j**2 - 6*j - 1. Let r be o(5). Let s be v(r). Calculate the greatest common factor of s and 30.
10
Suppose l + 151 = 3*c, 0 = 4*c + 5*l - 98 - 116. Suppose 3*d - c = 6. Suppose -t + d = -26. What is the greatest common divisor of 18 and t?
9
Let v(o) = o + 4. Let y be 4/20 - 3/15. Let p be v(y). Calculate the greatest common factor of p and 10.
2
Let t(y) = 2*y**3 - 3*y**2 - 5*y + 2. Let f be 1/4*-2*-2. Suppose f = -b + 4. Let j be t(b). What is the highest common factor of j and 35?
7
Let c = 69 - 57. What is the greatest common factor of c and 9?
3
Let h(b) = -6*b + 14. Let q be h(-3). Calculate the greatest common factor of 8 and q.
8
Suppose -4*n + 2*q + 0*q + 28 = 0, 2*q + 35 = 5*n. Calculate the highest common divisor of 77 and n.
7
Let g = 38 + -24. What is the highest common divisor of 21 and g?
7
Suppose 0*d - 45 = 5*b - d, 0 = -4*d - 20. Let w = -4 - b. What is the greatest common factor of w and 54?
6
Let o be (-2)/(-3) + (-140)/(-6). What is the highest common divisor of o and 6?
6
Let u(r) = r**3 + 5*r**2 + 3*r - 1. Let z be u(-3). What is the greatest common factor of 4 and z?
4
Let l(t) = -2*t - 4*t + 8*t - 15. Let m be l(10). Calculate the greatest common factor of 10 and m.
5
Suppose 0 = a - 13 - 18. Let l = a - 11. Calculate the highest common factor of 5 and l.
5
Let f(p) = 39*p - 3. Let h be f(4). Let z(j) = j**2 - j - 3. Suppose 3*k = -2*k - 20. Let i be z(k). What is the highest common factor of i and h?
17
Suppose -68 = -4*k + 4*u, -5*k + 4*u = -53 - 34. Let f = k - -45. What is the highest common factor of 8 and f?
8
Let c(u) = -2*u + 1. Let m be c(-5). Let x(t) = 12*t**2 + 69*t - 7. Let j be x(-6). What is the greatest common factor of m and j?
11
Let g be (-4)/(-6) - (-80)/(-3). Let b = 14 - g. What is the highest common factor of b and 5?
5
Let j be 1/3*-3 + 7. Suppose 2*b - 12 - j = 0. What is the greatest common factor of b and 36?
9
Suppose 4*x = 19 + 1. Suppose 0 = x*h - 7*h + 110. Calculate the greatest common factor of 22 and h.
11
Let g(w) = -2*w**2 - 6 + 4*w**2 + 8*w - w**2. Let b be g(-10). Suppose 2*m - b = 2*l, 7*l + 19 = m + 3*l. Calculate the greatest common divisor of m and 12.
3
Suppose 0 = -3*c - 2 + 110. Let b be (0 - -1)*(53 - -1). What is the highest common factor of c and b?
18
Let r be (-4)/(-16) + (-39)/(-4). Suppose 2*d = -d - 4*y + 95, 3*d + y = 80. What is the highest common divisor of d and r?
5
Let p(g) = -g**3 - 5*g**2 + g + 2. Let x be p(-5). Let w be (-8)/x*(1 - -2). Let i be w - -1*3/(-3). What is the greatest common factor of 56 and i?
7
Suppose -d + 4*a = 23, d + a + 0*a + 13 = 0. Let j = 36 + d. What is the greatest common factor of 3 and j?
3
Suppose 0 = 3*s - s + 3*m - 22, -4 = -m. What is the greatest common divisor of 35 and s?
5
Let f = -72 - -104. Calculate the highest common factor of 4 and f.
4
Suppose -2*s = -40 - 32. Let g = -5 - -8. Let v(m) = -m**3 + 3*m**2 + m + 1. Let l be v(g). What is the highest common divisor of s and l?
4
Let o = -875 - -876. Let u(l) = l**3 + 6*l**2 - 2*l - 5. Let h be u(-6). Calculate the highest common factor of o and h.
1
Let l be (0 - 1) + (-7)/((-7)/13). Suppose 3*k - 5*t = -2 - 3, -2*k - 3*t = -22. Suppose -220 = -k*p - 40. Calculate the highest common divisor of p and l.
12
Suppose 0 = 4*u + 5*g - 2 - 0, 5*u + 3*g = -4. Let v be u/6 + 127/3. Let l = 6 - 0. What is the greatest common factor of v and l?
6
Suppose -2*g + g - 3*v + 52 = 0, -90 = -2*g + v. What is the greatest common divisor of g and 23?
23
Let n be 342/26 - 2/13. What is the highest common divisor of n and 91?
13
Suppose -q + 4*t = -10, 0*q + 3*q - 14 = 4*t. Let i(n) = 0*n - 2 - 6*n - 6 + q*n**2. Let z be i(8). Calculate the highest common factor of z and 8.
8
Suppose -p - 13 = -2*p. Calculate the greatest common factor of 52 and p.
13
Suppose 3*x + 3*f - 71 - 199 = 0, -x = -5*f - 108. Calculate the greatest common factor of 62 and x.
31
Suppose 6*m = m + 180. What is the greatest common factor of 396 and m?
36
Let n(o) = o**2 + 2*o + 36. Let t be n(7). Calculate the greatest common factor of t and 22.
11
Let z = 201 + 405. Suppose 5*k + 2*w = 994, 3*k - 4*w = -2*w + z. Calculate the highest common factor of 25 and k.
25
Let j be (-1 - -14) + -9 + 7. Suppose 2*i + 0*u + 4*u = 212, -5*i - 5*u = -540. Suppose 0 = g + g - i. Calculate the highest common factor of g and j.
11
Let i = 70 + -48. What is the highest common divisor of 2 and i?
2
Let q(x) = 2*x**2 + x + 1. Let b be q(1). Suppose -3*f + b = -2. Calculate the highest common factor of f and 1.
1
Let b(q) = -3*q**3 - 2*q**2 - q. Let g be b(-1). Let z be (-1)/(129/(-63) + g). What is the greatest common factor of 231 and z?
21
Suppose -2*p - 1 = -5. Suppose -p*g + 0*g = -6. Let k be 16/g + 5/(-15). Calculate the highest common factor of 40 and k.
5
Let a = 7 + -4. Suppose -a = 2*f + 3*h - 17, -3*h + 4 = f. Suppose 9*w = 4*w - 4*s + 17, -15 = -w + 5*s. Calculate the highest common divisor of w and f.
5
Suppose 0 = -2*q - 3 + 1. Let z be ((-1)/2)/(q/2). Let r be z*-4*(-1 + -5). What is the highest common factor of r and 8?
8
Let p = -27 + 38. Calculate the highest common factor of 77 and p.
11
Suppose -2*l - 16 = 2*n, -2*l + 0*n - 16 = -n. Let i(g) = -g**3 - 7*g**2 + 2*g + 6. Let p be i(l). What is the highest common factor of 18 and p?
18
Let l(f) = 9*f - 3. Suppose -2*c + 12 = 2*c. Let y be l(c). What is the greatest common divisor of y and 8?
8
Let b be 6/(-2)*2/6. Let i be 2 + -1 + b + 8. What is the greatest common factor of i and 1?
1
Let f(r) = 2*r - 3. Let x be f(10). What is the highest common factor of x and 34?
17
Let w be 2/3 + 2/6. Let l be 12/(-18)*(w - 28). Let b = 41 - 23. Calculate the highest common factor of l and b.
18
Let b = 133 - 126. Calculate the highest common factor of b and 14.
7
Suppose d + 5*y - 32 = 0, -3*y + 48 = -0*d + 3*d. What is the greatest common divisor of d and 54?
6
Suppose 0*q + 363 = 3*q. Let y be 0/(-3 - -2) + q. Let m(z) = 3*z**2 + z + 1. Let f be m(-2). What is the greatest common factor of y and f?
11
Let c(p) = 2*p**2 - 6*p - 3. Let k be c(6). Suppose k + 7 = 5*n. What is the greatest common divisor of n and 2?
2
Let v = 12 - 10. Suppose 66 = v*f + f. What is the highest common factor of f and 33?
11
Let r = 7 - 5. Suppose -5*w + 70 = 4*u + u, 52 = r*u - 4*w. Suppose 0 = -0*b + b - u. What is the highest common divisor of 2 and b?
2
Suppose 3*f - 4*k - 43 = 0, -12 = f - 5*k - 30. Suppose 3*p = w + f, w - 3 = -3*p + 8. Calculate the greatest common divisor of 44 and p.
4
Let x be -530*((-88)/(-20) + -2). Let w be (-2)/(-8) + x/(-32). Let t = 4 + 4. Calculate the greatest common factor of t and w.
8
Let t be (-31)/(-6) - (-9)/(-54). Suppose 5*c - 154 + 29 = 0. Suppose 3*j = t + c. Calculate the greatest common divisor of 10 and j.
10
Let n be -2*(1 - 2)*5. Let x(h) = -3*h + 1. Let z be x(-1). Suppose 3*b = -2*b - p + 451, -4*b + z*p = -356. What is the highest common divisor of b and n?
10
Suppose 52 = 2*q + 2*q. Suppose 4*t + 55 + q = 0. Let f = -10 - t. Calculate the highest common divisor of f and 14.
7
Suppose 0 = -w - y + 18, -2*y + y = 4*w - 69. Suppose 0 = s + 3*i - w, 2*s = -i - 4*i + 29. Calculate the greate