
1
Suppose 2*a = 4*m - 92, a + 118 - 24 = 4*m. Let t = 33 - m. What is the highest common divisor of 1 and t?
1
Let a = -132 - -136. Suppose -a = -2*n + u + 32, 3*u = 3*n - 54. What is the highest common factor of n and 45?
9
Suppose 0 = 5*q - 3*u + 10, -q - u = u + 15. Let y(r) = r**3 + 8*r**2 + 9*r + 2. Let z be y(q). What is the highest common divisor of z and 32?
32
Let a = 20 - 34. Let u = 50 + a. Let y = 10 + -6. Calculate the greatest common divisor of u and y.
4
Suppose -2*s - 710 = -2*y, 2*y - y = -s + 365. Let f be (y/(-126))/(4/(-14)). What is the highest common divisor of f and 5?
5
Let u(z) = -z**3 + 7*z**2 - 10*z + 9. Let t be u(6). Let v = 16 + t. Let l = v + 15. Calculate the greatest common factor of 80 and l.
16
Let t(g) = g**3 - 7*g + 0*g - 4*g**2 - 4*g + 8 - 11*g**2. Let x be t(16). Calculate the greatest common divisor of 8 and x.
8
Suppose 2*x = 3*u + 4*x - 334, 337 = 3*u - x. Let y be -14*(6/12)/(2/(-4)). Calculate the highest common factor of u and y.
14
Suppose -5*i - 4 + 14 = 0. Suppose -54 = -5*g - 3*u, -g - 3*u + 4 = -i. Let z = -1 - -4. Calculate the greatest common factor of g and z.
3
Let l be (712/24)/((-2)/(-102)). Suppose 6*k - l + 5137 = 0. Let j be 2/(-3 + k/(-200)). What is the highest common divisor of 10 and j?
10
Suppose 6*t = 3*t + 48. Let x = 20 - t. Suppose -4*a + 51 + 5 = x*y, 0 = 2*a - 3*y - 18. What is the greatest common factor of 6 and a?
6
Let j = -2304 + 2311. Suppose -3*r - 1 = -4*r. What is the highest common factor of j and r?
1
Suppose b + 144 = 396. Suppose 2*h = -2*h + b. Suppose -t + 4*j = -38, -3*t - j + 100 = -27. Calculate the greatest common divisor of t and h.
21
Suppose 25*q = 279 + 71. Calculate the greatest common divisor of q and 224.
14
Suppose -3*y + 18 + 33 = 0. Suppose -h = -38 - 42. Let b = h + 107. Calculate the highest common divisor of y and b.
17
Let o(c) = -c**2 + c + 2. Let b be o(-1). Let w be b + 1*49*(6 + -5). Calculate the highest common divisor of w and 7.
7
Let q be (-4*(-292)/(-20))/(6/(-15)). Suppose j = -y + q, 2*j - 2*y + 3*y - 296 = 0. What is the greatest common factor of 15 and j?
15
Let v be (2 + (-1)/(-2))*38. Let q be 2*6/42 + (-1320)/(-35). What is the highest common divisor of q and v?
19
Suppose -12*r = -11*r + 155. Let q = r + 169. Suppose 2*s + 4 = 2*l, -l + 3*s - 8 = -0*l. Calculate the highest common factor of l and q.
7
Let o = -26 + 234. Calculate the greatest common factor of 156 and o.
52
Let x(s) = 13*s - 168. Let p be x(42). Calculate the highest common factor of 56 and p.
14
Suppose 5*j - 4*h - 630 = 0, -3*j - 2*j - 2*h + 630 = 0. Let x(y) = y**2 - 142*y + 830. Let w be x(6). Calculate the greatest common divisor of w and j.
14
Let x(f) = -f**3 + 8*f**2 - 8*f + 16. Let i be x(7). Suppose -12*n = -i*n - 45. Let c = n - 14. What is the greatest common divisor of c and 4?
1
Let d = -25 + 28. Let a be d/6*4 - (2 + -48). Calculate the greatest common factor of 6 and a.
6
Let r = -82 + 87. What is the greatest common factor of r and 20?
5
Let i(b) = 2*b**3 + b**2 - 6*b + 4. Let m = 3 + 6. Suppose -4*y = -y - m. Let f be i(y). Calculate the greatest common divisor of f and 7.
7
Suppose 20*g - 28*g = -400. What is the highest common divisor of 90 and g?
10
Let a = 5657 - 5641. Suppose -t = t - 5*f - 73, 0 = -4*t + 2*f + 106. Let z = t - 8. What is the greatest common divisor of a and z?
16
Let i be 12/3 + -3 + 1. Let j be (18/6)/(2/i). Let k(o) = o**2 - o + 7. Let z be k(5). Calculate the highest common divisor of j and z.
3
Suppose 5*z - 210 = -5*m, -z = 4*m + 4 - 49. Suppose 703 = 4*b - 773. What is the highest common factor of z and b?
41
Let z be (1 - -1)/(2/11). Suppose -4*b + 264 = -2*b. Suppose -4*u = -3*f - 0*f + b, 5*f + 2*u = 220. Calculate the greatest common divisor of f and z.
11
Suppose c + x = -0*x + 5, -4*c = -2*x - 14. Suppose -25 = 4*d + d, -d = -c*v - 619. Let w = -104 - v. Calculate the greatest common divisor of w and 13.
13
Let l be (-12)/(-9)*((-321)/(-6) - 1). Let x be 0 + l/25 - (-2)/10. Calculate the greatest common divisor of 24 and x.
3
Let i(o) = o**3 + 13*o**2 + 11*o - 3. Let n be i(-12). Suppose 198 = n*r - 6*r. Calculate the greatest common factor of r and 6.
6
Let r = 125 + -57. What is the highest common divisor of r and 4?
4
Let v(n) = 40*n**2 - 14. Let i be v(-5). What is the greatest common divisor of 58 and i?
58
Let l = -421 - -453. Calculate the highest common divisor of 160 and l.
32
Let u be -2 + (-114)/((-3)/3). Let y = -12 - -16. Suppose 0 = y*b - 3*b - 16. What is the highest common divisor of u and b?
16
Suppose -3 = -3*p + 9. Suppose 12 = -3*q, -q + 236 = p*s + 3*q. Calculate the highest common divisor of s and 21.
21
Let i = 24 - 13. Suppose 2 = -3*v + i. Suppose -q + v*f + 35 = 5, 3*q = -3*f + 30. Calculate the greatest common divisor of q and 5.
5
Let k be 1/(1 + 0)*121. Let a(l) = -2*l + 1. Let t be a(-5). What is the greatest common divisor of k and t?
11
Let y be (7/7)/(5 + -6)*-70. Calculate the greatest common divisor of y and 455.
35
Suppose 6*v - 3*v + 3*k = 33, 0 = -5*v - 4*k + 50. Suppose -v*s = -144 - 288. Calculate the highest common divisor of s and 108.
36
Suppose -x = -3*m - m - 16, 0 = -5*x + 4*m + 32. Suppose 38 = 2*s - 26. What is the highest common divisor of x and s?
4
Let d be 4/(-12) + (-480)/(-9). Suppose 667 = 7*n - 817. What is the greatest common factor of d and n?
53
Let n(r) = r**2 + 13*r + 24. Let l be n(-18). Suppose -b - 2*y - y + l = 0, -3*b + 350 = 5*y. What is the highest common factor of b and 20?
20
Suppose 19*d - 25*d = -288. Let l = d - 38. Calculate the highest common factor of l and 4.
2
Suppose -3*l - 4*m - 248 = 0, 5*l + 0*m = 3*m - 452. Let r be l/(-14) + 2/(-7). Calculate the greatest common factor of 30 and r.
6
Suppose 18*q = 17*q - 5*u + 952, 4*u - 20 = 0. Calculate the greatest common divisor of 9 and q.
9
Suppose -47*u + 3821 - 625 = 0. What is the highest common factor of 8 and u?
4
Suppose 26 = j + m, -m = 3*j + 36 - 124. Calculate the highest common factor of 155 and j.
31
Let j be 6/10 + ((-584)/(-10) - 8). What is the greatest common factor of j and 17?
17
Let o(k) = -k + 8. Let f(h) = 2*h + 27. Let j be f(-12). Suppose -y = -j*y - 20. Let v be o(y). Calculate the highest common divisor of v and 6.
6
Let n(k) = -2*k - 27. Suppose -7*o - 46 = 80. Let s be n(o). Calculate the greatest common factor of 27 and s.
9
Suppose 240 = -2*w + 7*w. Suppose y = -3*y + w. Let k(j) = 30*j**2. Let r be k(1). Calculate the highest common factor of y and r.
6
Let l be (5 - 16)*(3 + -11). What is the greatest common factor of l and 176?
88
Suppose 3*s - 47 = -4*a - a, 0 = 2*s - 4*a - 2. Calculate the highest common factor of s and 117.
9
Let f = -116 - -119. Calculate the highest common divisor of f and 1.
1
Let w = 86 + 2. Calculate the greatest common factor of w and 44.
44
Suppose -5*d + 8*k = 10*k - 1000, -2*k - 782 = -4*d. Calculate the highest common factor of d and 22.
22
Let w(z) = 3*z - 15. Let k(q) = 2*q**2 - 5*q + 3. Let s be k(3). Let u be w(s). Suppose 0 = -b + u*b - 104. Calculate the greatest common factor of 13 and b.
13
Suppose -1492 = -19*x - 48. Suppose 3*r = -5*l + 191, -r + l + 167 = 2*r. What is the greatest common divisor of r and x?
19
Let f(a) = 4*a + 107. Let v be f(-14). Calculate the greatest common divisor of v and 2907.
51
Suppose 7*j - 4 = 5*j. Let x = 238 - j. Suppose 16 = 7*s - x. What is the greatest common divisor of 36 and s?
36
Suppose 8*t = 2*t + 2544. Calculate the greatest common divisor of t and 8.
8
Let g(x) = 5*x + 3. Let k be g(0). Calculate the highest common divisor of 3 and k.
3
Let r(x) = 7*x + 7. Let v be r(7). Suppose v = 2*a + 2*a. Let j(d) = -5*d - 12. Let s be j(-8). What is the highest common divisor of s and a?
14
Let c = -655 - -663. What is the highest common factor of 20 and c?
4
Let b = -36 + 55. Let n = b + -14. Suppose -n*o + 12*o - 343 = 0. What is the highest common divisor of o and 7?
7
Let p = 4 + -4. Suppose p = -2*h + 2*d + 8 + 8, 4*d = -4*h - 8. Suppose -3*k + 5*f = 2*k, h*k + f = 12. What is the highest common divisor of k and 24?
3
Let n = -503 - -512. What is the greatest common divisor of n and 7?
1
Suppose 26*p - 20*p = 858. Calculate the highest common factor of 11 and p.
11
Let i = -44