
Suppose 754*n + 140 = 768*n. What is the greatest common factor of n and 335?
5
Let o = 33 + -21. Let d(z) = 37*z - 60. Let q be d(o). Calculate the highest common divisor of 24 and q.
24
Suppose 1271 - 95 = 21*a. Calculate the greatest common factor of 136 and a.
8
Let t(u) = -2*u + 1. Let m be (-2 - (-1 - -5)) + 2. Let d be t(m). Let r be 56/(-126) + 1960/36. Calculate the greatest common factor of d and r.
9
Let q be (-4 - -5)*3/3. Let w be (7 + 3)*(-1)/q. Let f(x) = -x**2 - 11*x + 1. Let p be f(w). What is the highest common divisor of 22 and p?
11
Suppose -4*z + 2*f + 110 = 0, 2*f + 90 = 3*z - f. Let r = 29 - z. Calculate the highest common divisor of 20 and r.
4
Suppose 277 = 2*m - 75. Suppose 4*p - 8*p = -540. Let j = p - 113. What is the greatest common factor of m and j?
22
Let d(m) = 4*m - 3*m + m**3 + 7*m**2 - 10 + 2. Let g be d(-6). Let s = 54 - 21. Calculate the highest common divisor of s and g.
11
Suppose -n + 4*n = 27. Suppose -5*t - 12 = -n*t. Let a be t*4 + 0 + 0. Calculate the greatest common factor of 108 and a.
12
Let a = 130 - 51. Let n = a + -31. What is the greatest common divisor of n and 6?
6
Suppose 4*h - 21 = 5*q + 40, 2*h = -2*q + 44. Suppose 0 = 2*l + 3*l - 185. Suppose 58 = 5*o - l. What is the highest common divisor of h and o?
19
Let i = -179 + 998. Calculate the highest common divisor of 91 and i.
91
Let p(q) = -q**3 - 2*q**2 - q + 66. Let y be p(0). What is the highest common divisor of 165 and y?
33
Let y be (-39)/65 - 208/(-5). Suppose -y = -3*h + 4*j, 4*h + 5*j - 50 = h. Let g = -7 + 13. What is the highest common divisor of g and h?
3
Suppose -3*x + 366 = 2*o + o, o + 2*x - 120 = 0. Let n = o - 110. Calculate the greatest common divisor of n and 21.
7
Suppose 0 = -3*v - 4*n - 427, 10*v - 15*v - n - 689 = 0. Let z = 172 + v. Calculate the highest common factor of z and 10.
5
Let z(j) = -j**2 - 9*j - 3. Let m be z(-8). Suppose 2*y - m*y = -15. Let u be (y - 6)/((-1)/19). Calculate the highest common divisor of u and 171.
19
Let w be -2 + -5*(-24)/20. Let j(f) = -f + 14. Let h be j(2). Calculate the highest common divisor of w and h.
4
Let b be 252/15*30/9. Calculate the highest common factor of 112 and b.
56
Let i be (-57)/(-11) + (-3 - 93/(-33)). Suppose -d + i = 0, 2*d + 160 = f + 4*f. Calculate the highest common divisor of f and 17.
17
Let o = 95 + -68. Let h = 6257 + -6221. Calculate the highest common factor of o and h.
9
Suppose 0 = 5*c - w - 1003, -2*c + 0*w + 404 = w. Calculate the highest common factor of 335 and c.
67
Let h = 0 - 0. Suppose u = -h*u + 2. Suppose u*r + 5*m - 9 = 39, 3*m - 12 = 0. Calculate the greatest common factor of 2 and r.
2
Let o = 26 + 6. What is the greatest common factor of 448 and o?
32
Let d = -4 + 10. Suppose 0 = d*i - i - 270. Suppose -i = -5*j + 6. What is the highest common divisor of 12 and j?
12
Suppose -5*o = 10, 3*q - 4*q - 12 = 5*o. Let g be (2 - 0/(-3))/(q/(-2)). Suppose -4*c + 2 = -2*c. Calculate the greatest common divisor of g and c.
1
Suppose -610 - 286 = -14*f. What is the highest common divisor of f and 48?
16
Suppose 29*z - 24*z = 1530. Calculate the highest common divisor of 34 and z.
34
Let j(l) = -l**2 + 6*l + 6. Let z be j(6). Suppose -h - 7 = -5. Let k be (-3*(-2)/(-12))/(h/24). What is the greatest common divisor of k and z?
6
Suppose 4*d - 5 = m + 13, 0 = 3*d - 2*m - 16. Suppose 0*j - 3*y = -3*j + 15, -j + d*y = -17. What is the highest common factor of 7 and j?
1
Let m be -5 - (-9010)/40 - (-3)/(-12). Calculate the highest common divisor of m and 132.
44
Let p be 686/196*(1 - 1 - -2). Suppose 3*x = 5*g + 173, -3*g + 284 = 5*x - p*g. What is the highest common divisor of 8 and x?
8
Let x be ((-98)/(-35))/((-6)/(-45)). Calculate the greatest common divisor of 6 and x.
3
Suppose 3*l = -l - 3*m + 243, 0 = -2*l - m + 121. Calculate the greatest common factor of l and 15.
15
Let p(n) = 24*n**2 - 6*n - 3. Let r(x) = x**2 + x. Let w(t) = p(t) + 6*r(t). Let j be w(-2). What is the greatest common factor of 9 and j?
9
Let v = -28 + 14. Let j be 1*20*(-7)/v. Calculate the greatest common divisor of j and 110.
10
Suppose -3*q = -4*z - 46, -2*q + 2*z + 29 = -1. Let j be (((-28)/(-3))/(-4))/((-1)/18). Calculate the greatest common divisor of j and q.
14
Let b be (-3)/(-5) + (-561)/(-165). Calculate the highest common factor of b and 1.
1
Let q = -52 + 85. Let k = -15 + q. What is the greatest common divisor of k and 36?
18
Suppose -4*g + 2662 = 3*w, -5*w - 3310 = 3*g - 8*g. What is the highest common factor of g and 8?
8
Let s = 707 + -473. What is the greatest common factor of s and 26?
26
Let r(c) = 17*c - 67. Let o be r(7). What is the greatest common factor of 364 and o?
52
Let q = 2 + 2. Suppose 3*m + 12 = q*m. Suppose -8 = -p + 28. What is the greatest common divisor of m and p?
12
Let q(c) = 2*c - 9. Let w be q(-13). Let y = 120 + w. Calculate the greatest common divisor of y and 34.
17
Let c(w) = 62*w**2. Let f be c(-2). Let x = f + -133. What is the highest common factor of x and 46?
23
Let j(v) = 10*v**2 - 2*v - 4. Let c be j(2). Suppose -n = -9*n + c. What is the highest common factor of 36 and n?
4
Let h(x) = -x**3 - 10*x**2 - 10*x + 11. Suppose -3*d - 35 + 8 = 0. Let t be h(d). Let u = 4 - 0. Calculate the highest common divisor of u and t.
4
Let w(y) = 3 - y - 1 + 10*y**2 + 9*y**2. Let h be w(1). Calculate the highest common factor of h and 10.
10
Let m = -9 + 13. Suppose -4*n - m*z + 148 = -0*z, 2*z = 10. Let j be -5*20/(-25) + 0. Calculate the highest common factor of n and j.
4
Let x = 32 - 24. Suppose -x = -5*z + 27. Calculate the highest common factor of 63 and z.
7
Let v be (-27)/(-10 - 11209/(-1122)). What is the greatest common divisor of v and 18?
18
Let l(b) = -5*b + 4. Let n = 48 + -56. Let t be l(n). Calculate the highest common factor of 11 and t.
11
Let i(d) = 3*d - 16. Let h be i(9). Suppose -h*n + 95 = -6*n. Let b = n - -25. What is the highest common factor of 11 and b?
11
Suppose 396 = 467*v - 456*v. What is the greatest common factor of v and 864?
36
Let z(r) = -r**3 + 37*r**2 - 68*r - 30. Let s be z(35). Calculate the highest common divisor of s and 24.
8
Let x = 401 - 214. What is the greatest common factor of x and 22?
11
Let y(k) = k**2 + 5*k - 3. Let b be y(-6). Suppose 36 - 6 = b*w. Suppose -80 = 3*x - 5*x. What is the highest common factor of w and x?
10
Let h(d) = -d**3 + 4*d**2 + 6*d - 3. Let k be h(5). Let z be 0 - 6/(3 - 6). Let t be (3 - k)*(-1 + z). Calculate the greatest common divisor of 1 and t.
1
Suppose -147*i = -167*i + 1180. Calculate the greatest common divisor of i and 295.
59
Let y(n) = 7*n - 6. Let m(u) = -u + 11. Let d be m(7). Let g be y(d). Let x be ((-154)/(-35))/((-1)/(-5)). What is the highest common factor of x and g?
22
Let j(i) = 24*i**2 - 1. Let d be j(1). Calculate the greatest common divisor of 207 and d.
23
Let j(m) = -m**3 + 16*m**2 + 7*m - 13. Let q(y) = y**3 + 3*y**2 - 2*y. Let c be q(2). Let d be j(c). What is the highest common factor of d and 33?
33
Let m(w) = -4*w**3 - 25*w**2 - 8*w - 7. Let t be m(-6). Suppose -t*r + 10*r - x = 130, -2*x = 0. Calculate the greatest common divisor of 39 and r.
13
Let u = -16 - -17. Let f(t) = t + 2. Let s be f(3). Suppose 1 = 2*q - s. Calculate the highest common divisor of u and q.
1
Suppose 0 = b - d - 4, 5*d - d - 40 = -4*b. Suppose -207 = 4*x + 4*h - 371, -5*x + 163 = -2*h. What is the greatest common factor of x and b?
7
Let x = 59 - 22. Let p = 112 - -184. Calculate the greatest common divisor of x and p.
37
Let y be (436 + -28)*(-1 - 5/(-3)). What is the greatest common factor of y and 48?
16
Let v(i) be the third derivative of 7/2*i**3 + 0*i + 2*i**2 + 0 + 1/8*i**4. Let a be v(-5). Calculate the greatest common factor of 6 and a.
6
Let q = 177 - 147. Calculate the highest common factor of q and 255.
15
Let x be (-32)/40*(-10)/(-4)*-169. What is the greatest common divisor of x and 26?
26
Let o = 3 - -67. What is the highest common divisor of 154 and o?
14
Suppose -5*o = 3*q - 53, q - 60 = -3*q + 4*o. Let r(h) = -h**3 + 27*h - 8. Let u be r(5). What is the greatest common divisor of q and u?
2
Let a(r) = -2*r**2 - 45*r - 189. Let b be a(-16). Calculate the greatest common factor of b and 931.
19
Let x = 36 + -15. Let z be 3 + 8 + (2 - -1