.
7
Let u(k) = -10*k - 20. Let r be u(10). Let n be ((-8)/12)/(-2 - r/63). What is the greatest common divisor of n and 77?
7
Suppose -b = 2*b - 12, -3*b = -n - 9. Suppose 0*p = -p + n. Suppose 4*u + 3*y = 204, -4*u = p*y + y - 208. Calculate the greatest common factor of 12 and u.
12
Suppose 0*u + 100 = u. Suppose 3*m + 44 + 41 = 4*t, m + 70 = 3*t. Calculate the greatest common divisor of t and u.
25
Let c = 89 + -8. Let b(p) = -17*p**3 + p**2 - 3*p - 2. Let n be b(-2). Suppose -n = -4*a - 36. What is the highest common divisor of a and c?
27
Suppose g - 5 = -5*u, -3*u + 2*g = -0*g - 3. Let p = 3 + u. Calculate the highest common factor of p and 44.
4
Let b(m) = -m**2 - 16*m + 37. Let h be b(-17). What is the greatest common divisor of h and 220?
20
Suppose -3*c + 780 = 90. Let m be 2/1 - 4/2. Suppose m = f + f - c. Calculate the highest common divisor of f and 23.
23
Let y be -1 + (1*-1)/((-5)/(-1930)). Let z = 611 + y. Calculate the highest common divisor of 32 and z.
32
Suppose 0 = 2*p - 0*p - 192. Suppose p = -15*h + 18*h. Let q = 21 + -17. Calculate the greatest common divisor of q and h.
4
Let c = -5 + 9. Suppose r + r - 65 = 5*w, -4*r + 5*w + 155 = 0. Let o be 2260/r - c/18. What is the greatest common divisor of o and 20?
10
Let w(h) = h**2 + 5*h + 18. Let m be w(-9). Suppose -3*f + 4*g = -16 - m, -2*g + 64 = 4*f. Calculate the highest common divisor of f and 162.
18
Let t = 1268 - 1253. Let l(y) = 4*y - y - 1 - 2. Let g be l(2). Calculate the highest common divisor of g and t.
3
Let c = 785 - 750. Calculate the highest common divisor of 30 and c.
5
Let l = 2958 - 2355. Calculate the highest common divisor of 9 and l.
9
Let c(l) = l**2 + 39*l + 53. Let r be c(-38). Calculate the greatest common divisor of 20 and r.
5
Suppose -12*j + 9*j = -90. What is the highest common divisor of 480 and j?
30
Suppose 12 = 2*q - 0. Suppose q*v - 264 = 6. Let r be 2/5 + (-46)/(-10). Calculate the greatest common divisor of v and r.
5
Let y be (-2)/9 + 9232/72. Suppose 64 = 108*g - 104*g. Calculate the greatest common divisor of y and g.
16
Let z = 599 - 295. What is the highest common divisor of 19 and z?
19
Let u = 15 + -22. Let n = u - -14. Calculate the greatest common factor of n and 77.
7
Let s(i) = 3*i**2 - 12*i + 16. Let k be s(8). Calculate the greatest common divisor of k and 40.
8
Let n(j) = -11*j + 2*j + 4*j + j - 26. Let w be n(-13). What is the greatest common factor of 52 and w?
26
Let y(j) be the first derivative of -5*j**2/2 - 4. Let f be y(-4). Suppose -3*z = -z - f. Calculate the highest common factor of 15 and z.
5
Suppose -5*o + 4*b - 3854 = 0, -o + 6*o - b = -3851. Let f be 4/14 - o/49. Suppose 16 = 15*y - 7*y. What is the highest common divisor of f and y?
2
Suppose 4*s + 20 = 0, 0 = 2*z + 3*s - 2*s - 29. Calculate the greatest common factor of 1 and z.
1
Suppose -2*c + c + 12 = 0. Let q be (-6)/9 - 140/(-12). Suppose q + 117 = 4*m - 4*u, -m = 2*u - 44. Calculate the highest common divisor of m and c.
12
Let u = -3 - -5. Let x(f) = f - 5*f + 0*f - u*f. Let l be x(-2). Calculate the highest common factor of l and 3.
3
Suppose 25 = v - 5*h, -4*h - 52 = -5*v + 10. Let p = 24 + 86. What is the greatest common divisor of v and p?
10
Let q be (460/50)/((-4)/(-10)). Suppose -5*g = 2*u - g - 310, 3*u + 4*g = 471. Calculate the highest common factor of u and q.
23
Let c = 31 - 16. Let o be (-2 + c/6)*-46. Let j = 63 + o. What is the greatest common divisor of j and 4?
4
Let c be (-3 + (-3)/6)*-20. What is the highest common divisor of c and 14?
14
Suppose -r + 3*r + 5*u = 7, -5*r = -u - 31. Let z = 4 + 16. Let x = z - r. What is the highest common factor of x and 14?
14
Let z(h) = -h**2 - 33*h + 1. Let n be z(-16). Calculate the highest common divisor of n and 21.
21
Let f(t) = 2*t**3 - 7*t**2 + 14*t. Let z be f(4). What is the greatest common divisor of 9 and z?
9
Suppose 2*k + 5*n - 6 = -3, 3*k + 3*n = 0. Let d be k + 0 + 1 + -156. Let x be (-1)/(d/51 + 3). What is the highest common factor of x and 136?
17
Let b = 132 - 76. Suppose 4*o + 199 = 5*c + 543, 2*o + 2*c - 154 = 0. Suppose 235 = 11*n + o. Calculate the highest common factor of b and n.
14
Let j be -56 + (-3)/15*-5. Let y = j + 69. What is the greatest common factor of 70 and y?
14
Let d(x) = x**2 - 6*x + 10. Let f be d(4). Suppose -5*v - f*m - 16 + 56 = 0, 0 = 5*v - 4*m - 10. Calculate the highest common divisor of 3 and v.
3
Let q = -15 + 9. Let z be 36/(-2)*4/q. Let a(f) = -38*f - 20. Let h be a(-1). What is the greatest common factor of h and z?
6
Let u(c) = c - 4. Let s = -1 + 6. Suppose -s*f = -2*f - 4*a - 40, -3*f = -3*a - 39. Let n be u(f). Calculate the highest common divisor of n and 20.
4
Let t be ((-1)/(-2))/((-7)/(-434)). Suppose -18 = -r + t. Let q = 95 + r. Calculate the highest common divisor of q and 18.
18
Suppose -2*r + 3*t - 4*t = -55, 0 = -5*t - 25. Calculate the highest common divisor of 30 and r.
30
Let a(s) = s**2 - 22*s + 5. Let i be a(12). Let c = 213 + i. Calculate the highest common factor of 28 and c.
14
Let s be 56/7*45/24. What is the highest common divisor of 87 and s?
3
Let n be 1 + ((-1)/(-1) - -85). Let c = n + -10. Suppose -8*l + c = -l. Calculate the highest common divisor of 66 and l.
11
Suppose -4*p + 3*j = -43 - 55, 3*p - 80 = -j. What is the greatest common factor of p and 481?
13
Let a(c) = c**3 - 5 + 3*c - 5*c + 0*c - 8*c**2 - 6*c. Let l be a(9). Suppose -12 = -3*m, -l*w + w = m - 136. What is the highest common factor of 66 and w?
22
Let u(f) = -41*f**2 + 16*f + 12. Let s be u(8). Let h be 4/10 - s/90. Calculate the greatest common factor of 224 and h.
28
Let q be (53 - (-2)/2)*(-6 + 7). Suppose -x + 4 = 2. Suppose 2*y - y - 24 = -x*g, -5*g - 3 = -y. What is the greatest common divisor of q and y?
18
Let o = 4143 + -369. What is the highest common divisor of 74 and o?
74
Let i(y) = 2*y**2 + 18*y + 8. Suppose 0 = -4*q - 6*g + 4*g - 42, -4*q + g = 33. Let r be i(q). Calculate the highest common factor of 88 and r.
8
Suppose 4*h + 20 = 9*h. Let c be 14*2 - 0*(-2)/10. Calculate the highest common divisor of h and c.
4
Let r(j) = 113*j**2 + j. Let l be r(-1). Let b be (-12)/8 + 15/5 - (-58)/4. What is the highest common divisor of b and l?
16
Suppose -4*i + c = -123, 5*c = -0*c - 15. Let s = -120 + 126. Calculate the greatest common factor of s and i.
6
Suppose 0 = -102*s + 12237 + 7959. What is the greatest common factor of 308 and s?
22
Suppose -11029*i = -11039*i + 660. What is the highest common factor of i and 132?
66
Suppose -2*y + 82 - 38 = 0. Let k(w) = -8*w + 5. Let t be k(-7). Let s = t - 6. Calculate the highest common factor of s and y.
11
Let y be 4/32 + 5187/104. Calculate the highest common factor of 70 and y.
10
Let f be 1 + (3 - -3 - 2). Suppose 5*h = 6*h - f. Let y = h + -2. Calculate the highest common divisor of 1 and y.
1
Suppose -2*j + 5*l + 11 + 274 = 0, 5*l + 545 = 4*j. What is the highest common factor of 110 and j?
10
Let d be 272/(-51)*6/(-8). Suppose -d*b + 31 = -73. Calculate the highest common factor of 104 and b.
26
Suppose -2*o = o - 15. Suppose 0*m - 3*m - 3 = 3*w, o*w = -4*m - 1. Calculate the greatest common factor of w and 15.
3
Let g be ((-7)/((-7)/(-3)))/(9/(-12)). Let m be g - (4 + -6 + 2). Let f = -3 - -7. What is the highest common divisor of f and m?
4
Suppose -195 = -14*n + 785. Calculate the highest common factor of 14 and n.
14
Suppose 19*d - 22*d - 21 = 0. Let y be 1/d + (-198)/(-14). What is the highest common divisor of 28 and y?
14
Let y be ((-380)/(-171))/(5/((-90)/(-4))). Calculate the greatest common factor of 50 and y.
10
Suppose -47 = -5*o - 5*u + 43, 5*u + 42 = o. Let a(z) = -449*z - 2190. Let y be a(-5). Calculate the greatest common factor of y and o.
11
Suppose -h + g = -26, -132 = -4*h + 5*g - 8*g. Let t(j) = j**2 + 3*j + 2. Let c be t(3). Calculate the highest common factor of h and c.
10
Suppose -2*t + 0*u + 4*u + 20 = 0, 2*t = 2*u + 14. Let f be (-13 - -17)/(2 - (5 - 4)). What is the highest common factor of t and f?
4
Suppose 0 = -3*o - 2*r - 81, -o = 2*r + 3*r + 14. Let j = o - -37. Let x(g) = 3*g + 12. Let y be x(j). Calculate the highest common factor of y and 24.
12
Suppose 0 = 5*j + f - 20, 32*f - 37*f + 19 = -2*j. Calculate the greatest common factor of 9 and j.
3
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