 -8. What is the highest common divisor of x and 21?
21
Suppose 0 = 5*a - 3*b - 289, 4*a + b - 109 = 2*a. What is the greatest common divisor of 8 and a?
8
Let h(q) = -q**3 + 2. Let g be h(-2). Calculate the greatest common factor of g and 70.
10
Suppose 5*v - 60 - 15 = 0. What is the highest common divisor of v and 6?
3
Let h be (-2 - 0)*(4 - 5). What is the greatest common divisor of h and 2?
2
Let k be ((-1)/(-1) - 0)/1. What is the greatest common factor of k and 1?
1
Suppose 16*h = 11*h + 455. Let r(i) = i**2 + 4. Let y be r(-3). Calculate the highest common factor of h and y.
13
Let t(p) = 2*p**2 - 7 + 4 + 0*p**2 + 3*p + p**3 - 8*p. Let v be t(-3). Suppose -g = 5*f - 5, v*f - 3 = -f - g. What is the greatest common factor of f and 6?
2
Suppose 40 = 4*q + 4*c, -3*q - 2*c + 30 = -0*q. Suppose 8*v - 4*v - 3*u - 308 = 0, 5*v + 4*u = 416. Calculate the highest common factor of q and v.
10
Let x(v) = v**3 - 3*v**2 + 4*v - 1. Let b be (-2 - -5)/(1 + 0). Let l be x(b). Calculate the greatest common divisor of l and 88.
11
Suppose -4*j = 5*l + 9, 0*l + 1 = -l - j. Let b = 7 + l. Suppose 0 = -b*r, -3*r + 5 = 2*x - 7. Calculate the greatest common divisor of x and 2.
2
Let h be (3 - 1)/((-1)/(-6)). Suppose 5*v = -5*g + 25, -3*v + v = -4*g + 2. Let z = h + v. What is the highest common divisor of 10 and z?
5
Let y = -70 - -111. What is the highest common factor of 328 and y?
41
Let j be (5 - 2)*(1 + 0). Suppose -j*k + 88 = -104. Calculate the highest common factor of 16 and k.
16
Suppose 0 = -2*m - t + 206, -5*t - 125 = -0*m - m. Let k(q) = -3*q - 4. Let d be k(-3). Suppose 92 = d*j + 17. Calculate the greatest common divisor of j and m.
15
Let i be 1*-11*(-8 - 0). Suppose 8*f + 32 = 12*f. Calculate the highest common divisor of i and f.
8
Let i(h) = h - 4. Let c be i(6). Let z be 0 - 1 - -146 - c. Suppose 5*a - 22 = 43. Calculate the greatest common factor of z and a.
13
Let w(d) = -43*d**3 + d + 1. Let s be w(-1). Calculate the highest common divisor of 215 and s.
43
Suppose -p - 104 = 2*q - 477, 5*p + 3*q - 1858 = 0. Let f = 551 - p. Calculate the greatest common factor of f and 18.
18
Suppose -5*y + 144 + 106 = 0. What is the greatest common divisor of 70 and y?
10
Let u = 127 + -41. Suppose 70 = 3*y - u. Suppose y - 10 = 3*b. What is the greatest common factor of b and 154?
14
Suppose 3*u - 2*m - 12 = 5, -5*u - 4*m = 1. Suppose -3*i - 4*n = -52, -u*n + 4 = -2*n. Calculate the greatest common factor of i and 3.
3
Suppose -w + 3*s + 127 = 0, w - 125 = 4*s + s. Let p = w - 90. What is the highest common divisor of 10 and p?
10
Let f = 27 + 86. Let n = 288 - f. Suppose -4*l = l - n. What is the greatest common factor of 5 and l?
5
Suppose -2*m - 16 - 13 = -q, 2*m + 161 = 5*q. Calculate the greatest common factor of 11 and q.
11
Let h(z) = -z + 4. Let i be h(7). Let a be 8/(-1 - 6/i). Calculate the highest common divisor of a and 16.
8
Let f be 4/12 + 10/6. Let o be f*(-2)/4*-3. Suppose o*w - 8*w + 31 = t, -5*t - 5*w = -55. Calculate the highest common divisor of 3 and t.
3
Let a be (-2)/13 - 22/26. Let z = 1 - a. Calculate the greatest common divisor of z and 3.
1
Let d(l) = -l**3 - 11*l**2 + l + 16. Let h be d(-11). What is the highest common divisor of h and 35?
5
Let j = 52 + -31. Calculate the highest common factor of j and 7.
7
Suppose 3*m + 2*f - 1 = 0, -4 = 3*f - 1. Let d be m + 33 - (1 - -1). Suppose 2*g - d = -2*g. Calculate the highest common divisor of g and 2.
2
Let y = -2 + 5. Let q = -8 + 11. Suppose 0 = 4*p + 2*o - 3*o - 19, q*p = y*o + 3. Calculate the highest common divisor of p and 66.
6
Suppose 8*c - 3*c + 10 = 0. Let h be c/(-6) + 20/3. Suppose u = -w + 5, -3*w = 6*u - h*u + 13. Calculate the highest common factor of u and 21.
7
Let s(w) = 5*w + 2. Let j(t) = -6*t - 1. Let x(m) = -3*j(m) - 4*s(m). Let h be x(-6). What is the greatest common factor of h and 63?
7
Suppose -4*h - 135 + 351 = 0. Suppose -h = 3*n - 207. Let q(x) = x**2 - 4*x + 5. Let w be q(6). Calculate the highest common divisor of n and w.
17
Let f = 25 - 12. Let i be 46 - 4/(-3 + 1). Suppose -3*k + 108 = -i. What is the highest common divisor of f and k?
13
Let a(l) = l + 3. Let v be a(-5). Let g = 0 - v. Suppose 0 = 4*p - g*p - 24. Calculate the greatest common divisor of p and 120.
12
Suppose 0 = t - 2*d - 4, 2*t + 4*d = 3*t + 2. Let w = -4 + t. Let c(l) = -3*l - 12. Let f be c(-10). Calculate the highest common divisor of f and w.
6
Suppose -2*c + 0*k + 176 = 4*k, k + 5 = 0. What is the greatest common factor of c and 14?
14
Let j = 213 + -143. Calculate the highest common divisor of j and 10.
10
Suppose -200 = -4*i - 4*f, f = 1 + 1. Calculate the greatest common divisor of i and 24.
24
Suppose 0 = 5*c + g + 69 - 249, -4*c + 165 = 5*g. Calculate the highest common factor of c and 5.
5
Let m = 17 - -13. What is the greatest common divisor of m and 75?
15
Let z be 1296/16 - 2*2. What is the greatest common divisor of z and 11?
11
Suppose 16 = -17*n + 21*n. Calculate the greatest common factor of n and 3.
1
Let s = 49 + -14. Calculate the greatest common divisor of s and 245.
35
Suppose -5 = -5*u + m + 53, 0 = -u + 3*m + 6. What is the greatest common divisor of 42 and u?
6
Let t = 16 + -12. Calculate the highest common factor of t and 4.
4
Suppose 5*p = 2*i - 40, 5*p = 5*i + p - 134. Calculate the greatest common factor of i and 6.
6
Suppose -14 - 42 = 2*z. Let j be (6/(-7))/(1/z). Let m be ((-10)/30 - (-20)/6) + 13. What is the greatest common divisor of j and m?
8
Let f be (8/(-20))/((-2)/20). What is the highest common divisor of 20 and f?
4
Suppose w = 3*q + 66, -2*w + 5*q + 76 + 54 = 0. Calculate the greatest common factor of w and 15.
15
Suppose -143 = -3*q - 20. Let w be (3 - q/(-3))*6. Let g(f) = -9*f - 5. Let o be g(-5). What is the highest common factor of w and o?
20
Suppose 5*l + 3 = 2*k, 3*l + 1 = k - 0. Let b be -8*(-2 + 1 - l). Let p = b - -2. What is the highest common divisor of 12 and p?
6
Suppose -2*d + 27 = 2*d - 5*o, 0 = -2*d + 3*o + 13. Suppose -3*p + 4 = -2*p. Calculate the highest common factor of p and d.
4
Suppose 169 = 3*j - 5*m, -5*m - 21 = -j + 22. What is the greatest common factor of j and 42?
21
Let x = 453 + -269. Let y = x + -80. What is the greatest common divisor of 13 and y?
13
Let w(m) = m**3 - 3*m**2 - m + 4. Let n be w(3). Suppose -q = 5*b + 22 - 6, 3*q - 8 = -b. What is the greatest common divisor of q and n?
1
Let p(q) = q**3 - q**2 + q - 1. Let g be p(1). Suppose g = -5*u + 60 - 20. Suppose -3*k + u*k = 240. What is the greatest common factor of 16 and k?
16
Suppose -15 = -5*b + t + 7, -5*b = -5*t - 10. Let l be 30 - (1 + -12 + 6). What is the highest common divisor of l and b?
5
Let f(h) be the second derivative of -1/12*h**4 + 0*h**3 + 48*h**2 + h + 0. Let b be f(0). What is the highest common divisor of 12 and b?
12
Let c = -4 - -1. Let g be c - (3 - (-48)/(-2)). Calculate the greatest common divisor of 2 and g.
2
Let b be ((-150)/(-175))/((-1)/(-7)). What is the greatest common factor of b and 6?
6
Let x(o) = -2*o - 6. Let h be x(-6). Suppose 5*f + h = -p, -5*p + 0*p - 3*f = 96. Let v = p + 66. What is the greatest common divisor of 9 and v?
9
Suppose 2*n + 0*n + 5*w + 2 = 0, 4 = 3*n + 4*w. Suppose -l = -n*l + 78. Suppose j - 2*j + 13 = 0. Calculate the greatest common factor of j and l.
13
Let o = -2 - -16. Let s(i) = 14*i**2 + i + 3. Let l be s(-3). Calculate the highest common factor of o and l.
14
Let b = -8 - -4. Let o(y) = 3*y**2 - 3*y - 5. Let i be o(b). Let u(d) = d**2 + 12*d + 22. Let a be u(-12). What is the highest common divisor of i and a?
11
Suppose -z = 3*z - 5*v - 136, -4*v = 2*z - 94. Let y be 141/5 + 2/(-10). Let d = z - y. Calculate the greatest common factor of d and 22.
11
Suppose -3*m + 9 = -3*z, -1 = -3*m + 2*z + 6. What is the highest common divisor of 9 and m?
1
Let l be -72*(-2 - (-1)/4). Let a(t) = 3*t**2 + 2. Let x be a(2). Calculate the highest common factor of x and l.
14
Let u(f) = -19*f + 6*f + 11*f - 2. Let k be u(-3). What is the highest common divisor of k and 4?
4
Let g be 2 - -16 - -1*1. Let m be (41 - 2)/((-12)/(-248)). Suppose t - 3*s = 212, 236 + m = 5*t + 3*s. What is the highest common divisor of g and t?
19
Let i(a) = -a - 4. Let l be i(-8). Suppose l*u + 5*v - 77 = 0,