
Suppose d = 3*d - 2*g - 214, 4*d - 427 = 5*g. Let r(t) = t**2 + t. Let a = -13 - -9. Let p be r(a). Calculate the highest common factor of p and d.
12
Let s be 2/3 + 60/18. Suppose -s*b = 4*d, 0*d - 4 = 3*b + d. Let t = b + 9. Calculate the greatest common divisor of 35 and t.
7
Suppose -w - w + 38 = 0. Let s(a) = a**2 + 3*a + 1. Let o be s(-4). Let y = w + o. What is the highest common divisor of 60 and y?
12
Let t(d) = -d**3 - 9*d**2 - 9*d - 7. Let a be ((-3)/(-2))/((-6)/32). Let h be t(a). Calculate the greatest common factor of 10 and h.
1
Suppose 4*c - x + 6*x = -56, 3*x - 31 = c. Let z = -4 - c. Let n be 3 - 2/(1 - 2). Calculate the greatest common factor of z and n.
5
Suppose -2*s + 50 = 3*s. Let u(w) = w**2 - 7*w - 6. Let g be u(s). Calculate the greatest common divisor of 16 and g.
8
Let h = 9 + -5. Suppose -9 = -7*u + h*u. Suppose -78 = -4*d - 2*c, d = 2*c - c + 24. Calculate the greatest common divisor of d and u.
3
Suppose -2*h + q = -6 + 2, 0 = -4*h - 3*q - 2. Suppose 0 = d - 1 - h. Calculate the greatest common factor of d and 3.
1
Let w = 115 + -91. Calculate the highest common factor of 192 and w.
24
Suppose 4*o - 11 = -3. Let a(j) = 6*j - 1. Let f be a(o). Calculate the greatest common divisor of 99 and f.
11
Let o(b) = -2*b**2. Let r be o(1). Let d be (-2)/(2 - (r + 2)). Let l be ((0 - -2) + d)*7. Calculate the highest common divisor of l and 7.
7
Let c(k) = 10*k - 6. Let g be c(3). Calculate the highest common divisor of g and 3.
3
Let l = 47 + -31. Let t(s) = -2*s**2 + 1 + 0*s**2 + 0*s**3 + s**3 - s + 1. Let m be t(3). What is the highest common divisor of m and l?
8
Let u = 15 - 8. Suppose 5*c + 21 = -d, -2*d + 2*c - u = 5*c. Suppose -231 = -7*f - 7. What is the greatest common factor of f and d?
4
Suppose 19 = 4*y + 11. What is the highest common divisor of 16 and y?
2
Suppose -6*d = 2*i - 2*d + 2, -4 = -2*i - 2*d. Let v be 2/(-10) - (-56)/i. Suppose 7*q + 55 = 12*q. Calculate the greatest common divisor of v and q.
11
Suppose 18 - 6 = -c. Let f be c/9*6/(-4). Suppose 2*o - 4*o - 3*g = -27, 2*o = f*g + 42. Calculate the greatest common factor of 12 and o.
6
Suppose 2*k - 324 = -16. Calculate the highest common factor of k and 22.
22
Let t = 13 - 4. Let q be (-4)/(-14) - 1382/(-14). Calculate the greatest common factor of q and t.
9
Let b = 119 + -63. Calculate the greatest common divisor of 28 and b.
28
Let n be -1*(-10 - -3) - 3. What is the greatest common divisor of n and 32?
4
Let y = -175 + 177. Calculate the highest common divisor of 18 and y.
2
Let u = 6 + -7. Let d be 36*(u - (-10)/6). Calculate the highest common factor of d and 24.
24
Suppose 0 = -3*l + 7*l. Suppose -5*b + 2*f + 30 = 0, l*b + 30 = 5*b + 3*f. Let q(n) = 3*n. Let g be q(5). Calculate the highest common divisor of b and g.
3
Let w(y) = 4*y - 5*y + 0*y. Let h be w(-2). Let v be 5 + -1 + h + -1. Calculate the greatest common factor of 5 and v.
5
Let a = 17 + -15. Suppose 5*v - a*y = 30, 12 = v + v + 2*y. Let p(z) = 53*z**2 + 2*z - 1. Let s be p(1). Calculate the highest common divisor of v and s.
6
Suppose 5*g - 10 = 10, -g = -3*w + 23. Calculate the greatest common divisor of 27 and w.
9
Let i(v) = 0*v - 5*v + v + 1. Let h be i(1). Let y be 0*h/(-6) + 3. Calculate the greatest common factor of y and 27.
3
Suppose -2 = r - 3*r. Let n be -1*(0 - r) - -14. Let p be ((-35)/10)/(2/(-60)). Calculate the greatest common factor of n and p.
15
Suppose 3*m + 180 = 8*m. Let q be (-1*1)/((-2)/m). Let k = -10 + q. Calculate the highest common divisor of k and 8.
8
Let i be ((-21)/(-9) - 3)*-18. What is the highest common factor of i and 132?
12
Let z(b) = b**2 + 5*b - 3. Let o be z(-6). What is the highest common divisor of 33 and o?
3
Let q be (6/(-9))/(2/(-6)). Let o = q + 30. What is the greatest common divisor of o and 8?
8
Let a = 2 + -2. Suppose 4*u - 16 = a, -2*c - u = -0*u - 94. What is the highest common divisor of 18 and c?
9
Let g be (-12)/2*(-1)/2. Let v be (-3)/(-12) + g/4. Calculate the greatest common factor of 4 and v.
1
Suppose -5*b + 2*a + 6 + 16 = 0, -2 = 2*a. Calculate the highest common divisor of 2 and b.
2
Suppose 40 = -2*x + 2*l + 338, -5*x + 710 = 2*l. What is the greatest common divisor of x and 16?
16
Suppose -5*i = -s - 495, -i + 0*i = 2*s - 99. Suppose 5*l - 326 = i. Calculate the greatest common divisor of 17 and l.
17
Suppose -4*r - 398 = 4*q - 978, -3*q = 2*r - 430. Calculate the greatest common factor of q and 14.
14
Let t(s) = 3*s**2 + 8*s - 47. Let d be t(4). What is the highest common factor of d and 99?
33
Suppose -4 = -4*n, 2*k - n = 4*n - 29. Let c be ((-4)/8)/(2/k). Calculate the highest common factor of 2 and c.
1
Let m be (-2 - -3)/((-1)/(-27)). Calculate the greatest common factor of m and 9.
9
Let i be (-6)/15 + (-194)/(-10). Let s = -6 + i. Suppose 0 = 2*c - 51 + s. Calculate the highest common factor of c and 57.
19
Let g(t) = 14*t - 1. Let n be g(5). Let h = 48 + n. Let m = 11 - -2. Calculate the highest common divisor of m and h.
13
Let g(v) = -v**3 + 8*v**2 + 10*v - 3. Suppose 0 = -4*x - x + 45. Let l be g(x). Calculate the highest common divisor of 30 and l.
6
Suppose -5*z = -3*h + 503, -2*h - 3*z = -0*z - 367. Let n be (-6 - 0)/(12/8). Let d be 348/22 - n/22. What is the greatest common factor of h and d?
16
Suppose 3*y + 3 = d - 2, 0 = 5*d - 4*y - 25. What is the greatest common divisor of d and 35?
5
Suppose 0*r = -2*r. Suppose -t + 3*t - 84 = r. Let i be t + (-1 - -2)*3. What is the greatest common divisor of 9 and i?
9
Suppose -m - 2*m + 3 = 0. Suppose 4*p = -5*u + 36, 4*p - 2*u = 38 - 2. Calculate the greatest common divisor of m and p.
1
Let i = 0 - -1. Let n = i - -15. Calculate the greatest common divisor of 48 and n.
16
Suppose -4*j + 23 = -l + 2*l, 2*l = -3*j + 21. What is the highest common factor of j and 55?
5
Suppose -2*h = -4 - 0. Suppose 3*v - 161 = h*d, 3*v + 0*v - 163 = d. What is the greatest common divisor of v and 22?
11
Let l(s) = 10 - 10*s + s**3 - 6*s**2 + 6*s - 3*s. Let g be l(7). What is the greatest common divisor of g and 10?
10
Let k = 253 + -246. Suppose 6*c - 4*c - 22 = -2*m, 0 = c + 2*m - 8. Calculate the greatest common factor of k and c.
7
Suppose -2*p + 66 = 4*z, -2*z + p - 5*p + 48 = 0. Calculate the highest common factor of 14 and z.
14
Suppose 0 = -d - 2*c - 11, 3*c + 31 = -5*d - c. Let f = -61 - -41. Let t be (-75)/f*(-8)/d. What is the greatest common factor of t and 15?
5
Suppose -7*v = -3*v - 252. Let p(s) be the first derivative of 2*s**3/3 - s**2 - 3*s + 2. Let w be p(3). What is the highest common factor of w and v?
9
Let x = -70 + 72. Calculate the highest common divisor of x and 26.
2
Suppose 5*b + 4*h = 241, -4*h = -h - 12. Let r = 9 + -3. Suppose -z - 48 = -3*j, j + 5*z - r = 2*z. Calculate the highest common divisor of j and b.
15
Let s(q) = -q**2 - q. Let i be s(2). Let t = 122 - 83. Let n = t - i. Calculate the highest common factor of 18 and n.
9
Let l(m) = -4*m + m**2 + 2*m + 5*m + 2. Let y be l(-4). What is the highest common factor of 48 and y?
6
Let m(j) = j**2 + 7*j + 3. Let a be m(-7). Suppose -a*o + 2 = -o. What is the greatest common factor of o and 9?
1
Let z be (17/4)/((-1)/(-4)). Let y = -27 + 61. Suppose q + y = 2*q. What is the highest common factor of q and z?
17
Let f = 64 + -19. What is the greatest common factor of f and 9?
9
Let r be (6/4)/(1 + (-28)/40). Let u = -79 - -119. Calculate the greatest common factor of r and u.
5
Let s be 18 - (-4)/(4/2). What is the greatest common factor of 160 and s?
20
Let t = -185 + 315. Let u(d) = d**2 + 4. Let j(r) = -2*r - 5. Let l be j(-4). Let a be u(l). What is the greatest common divisor of t and a?
13
Suppose 1 = -2*y + 9, -4*t + 5*y + 40 = 0. Calculate the highest common factor of t and 10.
5
Suppose -4*p + 32 = 4*t - 144, 0 = -t + 2*p + 44. Calculate the highest common factor of t and 110.
22
Suppose 8*k - 3*k = 2*n, 5*k = 3*n - 5. Let m(v) = 3*v + 1. Let c be m(5). Calculate the greatest common divisor of c and k.
2
Let v be (3/(-9) - 2)*-48. What is the highest common divisor of v and 14?
14
Let a be 2/2 + 0 + 14. Suppose 13*h = 9*h + 420. What is the greatest common divisor of h and a?
15
Suppose 4*w - 47 = 45. Suppose -j + 23 = -5*t, 0 = -j + 4*t + w. What is the highest common factor of 4