
Suppose 4*t + t = 30. Suppose 0 = 3*h + 2*c - 10, 7*h - 3*h + 3*c - 14 = 0. Let x = 56 - h. Calculate the greatest common factor of x and t.
6
Suppose -3*f = g - 12, -2*f - 4*g - 3 = -11. Suppose -k - f*h + 27 = 0, k - h = 3*h + 11. Suppose 91 + k = 2*p. What is the highest common divisor of 11 and p?
11
Let q be (3 - (1 + 2)) + 25. Calculate the greatest common divisor of q and 200.
25
Let k(j) = -j**3 + 8*j**2 - 4*j - 1. Let x be k(7). Let z = 13 - x. Let c = z + 14. What is the greatest common divisor of 7 and c?
7
Let i be 16/(-12)*258/(-4). Calculate the greatest common factor of 43 and i.
43
Suppose 3*j + 0*j + 18 = c, -4*c + j = -39. Calculate the highest common divisor of c and 63.
9
Let g(d) = 6*d + 8*d - 8*d + 6. Let x be g(7). Suppose 0 = 4*y - 3 - 45. Calculate the greatest common factor of x and y.
12
Suppose 0 = 4*z + z. Suppose 2*o - 22 - 14 = z. Suppose q - 72 = -3*q. What is the highest common factor of o and q?
18
Suppose -3*j - 12 = 4*a - 0*a, 2*j = 4*a + 12. Suppose j = 3*i - 0*i - 3*s - 15, -19 = -2*i + 5*s. What is the highest common divisor of i and 1?
1
Let a(q) = -q - 8. Let j be a(-7). Let s = 3 + j. Suppose 2*y = 4*k + 38, -2*k - s = -2*y + 36. Calculate the greatest common divisor of 133 and y.
19
Suppose u = 5*r + 18, 0*r + 5*u = 2*r + 21. Let v(h) = -h**2 - 4*h. Let i be v(r). Calculate the greatest common factor of i and 1.
1
Let h = 176 - 124. Calculate the highest common factor of h and 13.
13
Suppose 0 = 2*h - 32 - 32. Calculate the greatest common factor of h and 8.
8
Suppose -i - 40 = -u - 0*u, 5*u - 180 = -5*i. Let t(g) = 31*g + 2. Let c be t(3). Calculate the highest common factor of c and u.
19
Let p(n) = n**3 + n**2 - n + 11. Let o be p(0). Let m(c) = -3*c + 1. Suppose -r - 9 = -2. Let t be m(r). Calculate the greatest common divisor of t and o.
11
Suppose 35 = 2*c + a, -3*c - 3*a + 49 = 2*a. Calculate the highest common factor of c and 72.
18
Suppose -55 - 53 = -5*c + 3*f, 0 = 4*c - 2*f - 88. Calculate the greatest common factor of c and 36.
12
Suppose -2*i + 0*m + 26 = 4*m, -i + 4*m = -37. Calculate the greatest common factor of i and 42.
21
Let w be (-11)/(-4) + (-15)/20. Suppose w*j - 3*j = -5. What is the greatest common divisor of j and 15?
5
Let p(c) = 11*c**2. Let n be p(-2). What is the greatest common factor of n and 4?
4
Let l = -52 - -29. Let g = -10 - l. What is the highest common divisor of 39 and g?
13
Let j(n) = n + 2. Let k be j(2). Suppose 2*i + 2 = -5*g, 3*i + k*g = -2*i + 29. What is the highest common factor of 3 and i?
3
Let r be 1/(-1) + (88 - -2). Let h = r - 26. Suppose 0 = -w + 91 + h. What is the highest common factor of w and 14?
14
Suppose -t - 2*h + 2 = 3, 0 = -5*t - 4*h + 19. Let l(u) = u + 21. Let p be l(0). Calculate the greatest common divisor of t and p.
7
Let t(o) = -o - 1. Let b be t(-3). Suppose 0 = -4*x - x - 20. Let v be (x - -3)/(3/(-48)). Calculate the greatest common divisor of v and b.
2
Suppose 38 = -n + 3*n - 5*v, 4*n + 3*v - 24 = 0. Calculate the greatest common factor of n and 3.
3
Suppose 0 = -6*s + 2*s. Let g(a) = -a**3 + 5*a**2 - 7*a + 6. Let v be g(4). Let h = s - v. What is the highest common factor of h and 24?
6
Suppose -8 = -3*k + d, -k + 3*d = 2*d. What is the greatest common divisor of k and 20?
4
Let m = 23 - 10. Calculate the highest common factor of 2 and m.
1
Let t = 9 + -17. Let d be -3*(t + (-1 - 1)). What is the highest common factor of 45 and d?
15
Suppose 0 = -5*z + 2*z - 156. Let r be (16/3)/((-4)/(-66)). Let m = r + z. What is the highest common factor of m and 24?
12
Let s be (-2)/10 - (-246)/30. Let m = s - 5. What is the highest common factor of 3 and m?
3
Suppose 5*n = 3*u + 82, 3*u - 2*n = -44 - 50. Let o = -21 - u. Calculate the greatest common divisor of 26 and o.
13
Let u(x) = -5*x**2 + 4*x + 6. Let z be u(10). Let y = z + 860. Let g = y + -235. What is the greatest common factor of 19 and g?
19
Let d(l) = -6*l**3 - 2*l**2 - 2*l - 1. Let a be d(-1). Let g = a - -2. Let o = -5 + g. What is the greatest common divisor of 5 and o?
1
Let x be 1/(-1) - (-58 - 3). What is the greatest common divisor of x and 90?
30
Let c = 25 + -52. Let n = -15 - c. Let x = 2 - -34. What is the greatest common factor of n and x?
12
Let j = 21 - 3. What is the highest common divisor of 144 and j?
18
Let x(w) = -6*w + 18. Let f be x(-6). Calculate the greatest common factor of f and 27.
27
Suppose -5*s + 3*z + 109 = z, s - 4*z - 11 = 0. What is the greatest common divisor of s and 92?
23
Suppose a - 12 - 247 = 0. Let u = a - 72. Calculate the greatest common factor of 17 and u.
17
Let x = 17 + -12. Let h be (-2)/(-2) - -3*x. Let g = 4 - 2. Calculate the greatest common divisor of h and g.
2
Let y be (2 - 0)*(-1)/(-1). Suppose 3*i - 4*l - 41 = 0, y = 2*l + 12. What is the highest common factor of i and 35?
7
Let b(j) = -2*j - 30. Let q be b(-21). Calculate the greatest common factor of 132 and q.
12
Let l be 10 - (-1*1 - -2). Suppose -16 - 74 = -5*p. Suppose h = 63 - p. What is the highest common divisor of h and l?
9
Suppose o = -o + 224. Let v(m) = 30*m**2 + m. Let z be v(1). Let b = -15 + z. What is the greatest common factor of b and o?
16
Suppose 0*g - 2*g - 10 = 0, 0 = -3*h + 3*g + 36. What is the highest common divisor of 70 and h?
7
Let l = -2 + 32. What is the highest common divisor of 5 and l?
5
Let n = 0 - -3. Let k be (-3)/((-1)/((-11)/(-1))). Calculate the greatest common factor of n and k.
3
Let i(t) = -t + 4 + t - t + t**3. Let s be i(0). Suppose 7*h - 2*h - 160 = 0. Calculate the greatest common divisor of s and h.
4
Suppose 0 = 9*o - 8*o - 4. Let t(l) = 31*l**3 + 2*l**2 - 1. Let p be t(1). Calculate the greatest common divisor of o and p.
4
Let z = -75 + 165. Suppose 0 - 10 = -5*l. Suppose l*i - 30 = -i. What is the greatest common factor of z and i?
10
Let b = 74 + -62. What is the highest common factor of b and 18?
6
Suppose 921 = 3*s + 192. Let w = -20 + 47. What is the greatest common divisor of w and s?
27
Suppose 5*j - 56 = 24. Suppose -2*r - j = -3*r. What is the highest common divisor of r and 4?
4
Let z = -68 - -88. Calculate the highest common factor of z and 180.
20
Let t be (8/10)/(10/50). What is the highest common factor of 44 and t?
4
Let h = -33 + 65. Calculate the highest common divisor of 16 and h.
16
Let l = 133 + -93. Calculate the highest common factor of l and 8.
8
Suppose -4*q = -4, -3*m + 4*q - 12 = -5*m. Let n be (-2)/(-3) - (-10)/3. Suppose n*c = 2*c + 32. What is the greatest common divisor of m and c?
4
Suppose -f = j + 3*j - 36, -46 = -5*j - f. Suppose -y = -0*y. Suppose 3*t + y*t - 270 = 0. What is the highest common divisor of t and j?
10
Let k = 6 - 4. Suppose -2*p + 80 = k*a, 3*p + 176 = 5*a + 2*p. What is the highest common factor of a and 9?
9
Let o(a) = 2*a - 6*a**2 + 74*a**2 - a - 7*a**2. Let l(x) = x**2 - 4*x + 2. Let m be l(3). Let c be o(m). What is the greatest common factor of c and 15?
15
Let y = -1 - -1. Suppose y = -6*z + 2*z + 16. Let n be 1*8*(z - 3). Calculate the highest common factor of 12 and n.
4
Let h(i) = -2*i**3 - i**2 - 3*i - 3. Let d be h(-3). Calculate the greatest common divisor of d and 17.
17
Let r = 98 - 59. Calculate the highest common factor of r and 65.
13
Suppose -4*q = b - 23, 4*b - 64 = -4*q + 2*q. Calculate the highest common factor of 30 and b.
15
Suppose -3*i + 75 + 9 = 0. Suppose 4*d = 2*r - i, 4*r - d - 6 = -3*d. Suppose 0 = r*j - 19 - 9. What is the highest common factor of j and 42?
7
Suppose -5*o + 10*o - 810 = 0. Calculate the highest common factor of o and 18.
18
Suppose 0 = -s + 2 + 15. Calculate the greatest common divisor of s and 119.
17
Let z be 2/11 + 708/(-22). Let w = z + 109. Suppose -10 = -s + 1. What is the greatest common divisor of w and s?
11
Let z be (192/28)/(2/112). Suppose -n - z = -5*n. Suppose -4*c = -8*c + n. What is the greatest common factor of c and 36?
12
Suppose -4*h + 30 = -h. Let m(f) = -7 - 2 + 11 + 11*f - 7 - f**2. Let c be m(h). What is the greatest common divisor of 10 and c?
5
Let d be 1 - (0 + 6/(-3)). Suppose d*i + 5 = -1. Let h be 2 + 0 + (20 - i). Calculate the highest common divisor of h and 4.
4
Let c(g) = 2*g**2 - 12*g + 7. Let l be c(9). Let o be l + 6/(5 + -2). What is the greatest common factor of o and 7?
7
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