x - 8*x = -p. Calculate the highest common divisor of x and 7.
7
Suppose 4*y + 0*y - 98 = -t, 0 = 2*y + 6. Calculate the highest common factor of t and 275.
55
Let s be 2/(-2)*(-16 + 11). Suppose 151 = r - 5*i, r + 3*i + 553 = s*r. What is the greatest common divisor of 34 and r?
34
Let g be 3 - (-1)/(1/3). What is the highest common divisor of 42 and g?
6
Let p be ((-1)/3)/(3/(-27)). What is the highest common divisor of 24 and p?
3
Let r = 1 - 7. Let c(d) = 6 - 2*d + d - 1. Let v be c(r). What is the highest common divisor of 88 and v?
11
Suppose -3*o = -35 - 10. Suppose -3*h + 9 = -p, 5*p - 24 = -3*h + 21. Let a be 74/10 - p/o. What is the highest common divisor of a and 56?
7
Let m = 238 - 233. Let x be 2 + (2 - 2 - -38). What is the greatest common divisor of m and x?
5
Let h be (-2)/(-6) - 132/(-9). Let d be h*(-4)/(-3) + 1. What is the greatest common divisor of d and 21?
21
Let u(q) = q**2 - q + 18. Suppose 0 = -k - 2*k. Let i be u(k). Let h(f) = -3*f. Let w be h(-6). Calculate the greatest common factor of w and i.
18
Let v(i) = 32*i**2 - i - 1. Suppose -2*p - 20 = -4*j, 2*j - 13 = 3*p + 1. Suppose -o + j = -5*o. Let l be v(o). What is the highest common divisor of 4 and l?
4
Let p(v) be the first derivative of 5*v**3/3 + v**2/2 + 6*v + 2. Let j be p(6). What is the greatest common factor of j and 24?
24
Let x(p) = p**3 + 6*p**2 + 5*p + 3. Let h be x(-5). Let z be (-10)/(-1) - (5 - h). Calculate the greatest common factor of z and 40.
8
Let c(q) = 3*q + 53. Let r be c(-13). Calculate the greatest common factor of 98 and r.
14
Suppose -2*z + 675 = 3*z. Suppose 3*x - z = -0*x. Suppose 5*t - 29 = -2*a, -4*t - 4*a + 2 + 26 = 0. Calculate the highest common divisor of t and x.
5
Let a be (-2)/((-2)/17 - 18/(-1020)). Suppose p - 2*p = -50. Calculate the highest common divisor of a and p.
10
Let s = -4 - -19. Let a(g) = g**2 + 2*g. Let w(k) = -k**3 + 7*k**2 - k + 2. Let o be w(7). Let y be a(o). What is the highest common divisor of y and s?
15
Let p(x) = -201*x - 1. Let j be p(-2). Let d = -269 + j. What is the highest common divisor of 12 and d?
12
Let o(z) = z**3 - 10*z**2 + z + 7. Suppose 55 = 5*c - t, -4*c = -3*c + 4*t + 10. Let i be o(c). What is the greatest common factor of i and 34?
17
Suppose -4*z + z = 3*u + 27, -5*z - 43 = 4*u. Let x be (z - (1 - -1))*-4. Suppose 5*o = -5, -d = -5*d + 2*o + 18. What is the highest common factor of x and d?
4
Let o be 3*(2 + (-2 - 1)). Let g(y) = -y**2 - 6*y - 4. Let q be g(o). Suppose -q*d + 4*d = -24. Calculate the highest common factor of 60 and d.
12
Let i = 117 + -99. What is the highest common divisor of 18 and i?
18
Let u be 309/(-15) + 6/(-15). Let k = 46 + u. What is the greatest common factor of 100 and k?
25
Let i(d) = 3*d - 12. Let p be i(8). Calculate the highest common divisor of 12 and p.
12
Suppose -1828 = -4*j + 5*l, -3*j - l - l + 1394 = 0. Suppose 0 = 4*u - v - 364, -u - j = -6*u + 3*v. What is the highest common divisor of u and 18?
18
Suppose 3*h - 10 = -a, h - 20 = 4*a - 8. Calculate the highest common factor of 16 and h.
4
Let g = 7 - 4. Suppose 2*c - 3*c + 3 = -z, -g*z - 13 = -5*c. Suppose 5*p - 638 = c. What is the greatest common divisor of p and 16?
16
Let b be 5 - 1 - 21/(-3). What is the greatest common divisor of 121 and b?
11
Suppose -5*q + 43 = 2*d, 0 = -q - 3*d + 7*d - 9. Suppose p - 12 = 3*v, 2*v = p + q*v - 28. What is the highest common factor of p and 54?
18
Suppose -4*i = i. Suppose -h + 2 + 1 = i. What is the highest common factor of 2 and h?
1
Let h = 61 + -38. Suppose 0 = 4*t + h + 85. Let v be (-212)/(-18) - 6/t. What is the greatest common factor of v and 12?
12
Suppose 53 + 37 = 3*a. What is the greatest common divisor of a and 12?
6
Let h = -16 + 31. Let v = 21 - h. Calculate the highest common factor of 6 and v.
6
Let r(n) = 4*n**2 - 25*n + 4. Let s be r(7). What is the greatest common divisor of s and 100?
25
Let m(y) = y**2 - 4*y - 22. Let d be m(-4). What is the greatest common factor of d and 2?
2
Suppose -3 + 1 = 2*d + 4*c, d - 4 = -c. Calculate the greatest common factor of 27 and d.
9
Let y be (-8 - -2)/((-6)/(-4)). Let p be 1 + 10 + y + 4. Calculate the highest common factor of p and 121.
11
Let w = 27 + 1. Suppose 0 = 3*p - 35 - w. Let g = 32 + 52. What is the greatest common divisor of p and g?
21
Let q be ((-1)/(-3))/(1/3). Let s = 54 + -51. What is the highest common divisor of s and q?
1
Let v = 37 + -20. Suppose 0*p - 4*p = -16. Let i be (1 - -1)/(p/34). What is the highest common divisor of v and i?
17
Let z = -16 + 61. What is the greatest common factor of 15 and z?
15
Let l = -76 - -84. Calculate the highest common factor of l and 1.
1
Suppose 2*r + 4*m = 23 + 1, 0 = -2*r + 5*m - 12. What is the greatest common factor of 44 and r?
4
Suppose -6*h + 3*h - 15 = 0, 5*y - 115 = -3*h. What is the greatest common factor of 39 and y?
13
Suppose 0*o - o = -4. Suppose 2*n + 24 = 2*g + 6*n, -o*n - 24 = -4*g. Calculate the highest common divisor of g and 12.
4
Let m(w) = 6*w - 24. Let y be m(10). What is the highest common divisor of 4 and y?
4
Suppose 0 = 5*l - 13 + 108. Let c = -2 - l. Calculate the highest common factor of c and 85.
17
Let y(l) = -8*l - 4. Let c be y(-1). What is the greatest common divisor of 56 and c?
4
Suppose 5*u - 4*u - 34 = 0. Suppose -3*v - 5*o = -u, -4*o + 7*o + 2 = v. Suppose -3*h = -6*h + 3. Calculate the highest common factor of h and v.
1
Let b(t) = t**2 + 3*t + 5. Let o be b(-2). What is the greatest common factor of 1 and o?
1
Let c(m) = m**2 - 6*m + 14. Let p be c(14). Calculate the greatest common divisor of 18 and p.
18
Let u be 70*((-6)/2)/(-6). Let q = u - 21. Let j = -133 - -231. What is the greatest common factor of j and q?
14
Let s(w) = -5*w - 4. Suppose 2*z + 2*z = 12. Suppose b - z*b = 16. Let m be s(b). Calculate the greatest common factor of 9 and m.
9
Suppose -3*n = -2*f - 2*f + 4, -f = n - 8. Suppose 5*t - 16 = -4*w + 126, -37 = -2*t + 5*w. Let r = t - 6. What is the highest common divisor of r and f?
4
Let k(m) = m**3 - m**2 - m. Let v be k(0). Suppose h - 20 = 4*q, -2*h + 36 = -4*q - v*q. Let i be 18/(-3)*(-4)/3. What is the highest common factor of h and i?
8
Let m(r) = -r**2 - 6*r - 6. Suppose 5*n - 2*w + 28 = -6*w, 5*w = -10. Let q be m(n). Let f = q + 1. What is the highest common divisor of f and 3?
3
Let v = 5 + 1. Suppose -v*m = -9*m + 36. Calculate the highest common divisor of 8 and m.
4
Suppose 3*x = 3*b - 9, 0*b = b - 2. Let d = x + 4. Suppose -2*c = -3*g + 318, d*g + 4*c - 171 = 165. Calculate the highest common factor of 12 and g.
12
Suppose -19*y + 21*y = 120. Calculate the highest common factor of y and 24.
12
Suppose 302 - 32 = 9*k. What is the greatest common divisor of k and 210?
30
Let g(z) = -12*z + 13 - 30 - 3*z**2 + 2*z**2. Let l be g(-8). What is the greatest common factor of 30 and l?
15
Let u be -30*((-12)/(-5))/(-6). Suppose 20 = -8*d + u*d. Suppose -2*c = r - 48 - 31, -4*c = -4*r - 164. Calculate the greatest common divisor of d and c.
5
Let f(h) = 4*h + 10. Let x be f(-7). Let d = -11 - x. What is the greatest common divisor of 35 and d?
7
Let y(u) = u. Let h be y(5). Suppose 3*f = -2*g + h*f + 22, f = -3*g + 17. Let v = -4 + g. What is the greatest common factor of 6 and v?
3
Let w(s) = -8*s**2 - 7*s - 2. Let n be w(6). Let q be n/(-10) - (-9)/(-45). Suppose -3*o - q = -168. Calculate the greatest common divisor of 9 and o.
9
Let p(l) = 4*l - 9. Let r be p(4). What is the greatest common divisor of 56 and r?
7
Suppose g + 2*i - 20 = -3*g, 3*i - 18 = -2*g. Suppose -5*n + 32 = -2*n + x, g*x + 4 = n. What is the highest common divisor of 2 and n?
2
Suppose -t + 6 = t. Suppose -t*u + 37 = 4. Calculate the highest common divisor of 11 and u.
11
Suppose 2*z = -0*z. Let m(r) = 2*r**2 - 1. Let q be m(-1). Suppose -p + q + 19 = -4*t, z = p + 2*t + 4. Calculate the greatest common divisor of 4 and p.
4
Suppose 3*d - 27 = 9. Suppose -4*c + 0*c + 192 = 0. Calculate the greatest common divisor of c and d.
12
Let c = -84 + 122. Let t be -9 - (-70 - (-12 + 8)). Calculate the highest common divisor of t and c.
19
Let k be 24/(-14)*(-84)/8. Let b = 22 - 10. Calculate the highest common divisor of b and k.
6
Suppose 0 = -8*f + 97 + 111. Calculate the highest common divisor of f and