. Suppose w*t - 2 = t. Let j(d) = 2*d - 2. Let f be j(t). Calculate the highest common divisor of 10 and f.
2
Suppose n = 4*n - 2*y - 150, -3*y = n - 50. What is the highest common divisor of 50 and n?
50
Suppose 4*w - 251 = -71. Suppose -w = -5*z + 55. Calculate the highest common divisor of z and 30.
10
Suppose -4*i + 10 = -5*r, 2*i + 4*r - 11 = 7. Let a be (-10)/(-14) + 2/7. Calculate the highest common divisor of i and a.
1
Let h(w) = -11*w**2. Let c(r) = 12*r**2 + r + 1. Let m(u) = -4*c(u) - 5*h(u). Let s be m(4). What is the greatest common factor of 23 and s?
23
Suppose -3*d + 3370 = -8*d. Let p be 8/(-28) + d/(-7). Let n(i) = i**3 - 11*i**2 + i + 1. Let y be n(11). Calculate the greatest common divisor of y and p.
12
Let s(p) = 2 - 6 - p - 5. Let l be s(-5). Let t be ((-6)/9)/(l/42). Calculate the highest common factor of 1 and t.
1
Let w be (30/9)/(4/6). Suppose 4 = 2*s, -4*r - w*s - 15 = -121. Calculate the greatest common factor of r and 8.
8
Let q = 8 + -10. Let z be (-96)/(q + -1) - -1. Calculate the highest common factor of z and 3.
3
Let u = 25 - 13. Calculate the greatest common factor of u and 96.
12
Let c be (4 - (-4 + 8)) + 185. Suppose 2*m - c = 175. What is the greatest common factor of m and 30?
30
Let q = 301 - -7. Let s be 0/1 + q/2. What is the highest common factor of s and 14?
14
Suppose 0 = 3*b - 8 - 7. Suppose b*l = 2*l. Suppose -4*j - 7*s + 3*s + 16 = l, -8 = j + 4*s. Calculate the highest common factor of j and 12.
4
Suppose -97 = -m + 67. Let f be m/6 + (-2)/(-3). Suppose -2*n + 32 = -f. What is the highest common divisor of 10 and n?
10
Let b = -41 - -67. Let s(c) = c**2 - 3*c + 3. Let p be 85/15 + 6/(-9). Let y be s(p). Calculate the greatest common divisor of b and y.
13
Let r be 0 - 0/(-2 + 4). Let u = r + 3. What is the greatest common factor of 33 and u?
3
Let m be 6/8 - 3555/(-12). Calculate the greatest common factor of m and 27.
27
Suppose 2*c = 5*o + 70, -2*c - 22 = -3*c - 4*o. Calculate the greatest common factor of c and 15.
15
Suppose 104 = 11*k - 83. Calculate the greatest common factor of 17 and k.
17
Let k be (-12)/((-1)/((-22)/(-3))). Suppose -7 = -u + v, 5*v - 22 = -3*u + 7. Calculate the greatest common divisor of k and u.
8
Suppose 5*m + 56 = 3*m. Let r = 98 + m. Calculate the highest common divisor of 28 and r.
14
Let w(i) = 2*i + 45. Let o be w(-21). What is the greatest common divisor of 87 and o?
3
Suppose -5*i - 143 = -3*w + 80, -2*i = -w + 76. Let k = w - -18. What is the highest common factor of 21 and k?
21
Suppose -9*q + 3*q = -6. Calculate the greatest common factor of q and 3.
1
Let z(q) be the third derivative of 7*q**5/60 - q**4/24 - 9*q**2. Let d = -7 - -10. Let r be z(d). Calculate the greatest common factor of 15 and r.
15
Let m be (-3)/6 - (-14)/4. Let x = 0 - m. Let a(n) = -2*n**3 - 3*n**2 - 3*n - 4. Let r be a(x). Calculate the highest common divisor of r and 8.
8
Suppose -h + 11 = -4*w - 5, -5*w + 14 = 3*h. What is the greatest common divisor of 24 and h?
8
Suppose -4*x = h - 12, -2*h - x = 1 - 25. Calculate the greatest common divisor of 60 and h.
12
Let m be (-12)/((-16)/(-6) - 3). Calculate the highest common divisor of 9 and m.
9
Let j(f) = 17*f**2 + f. Let b be j(2). Let z be 7/(b/12)*110. Calculate the greatest common factor of z and 12.
12
Suppose i + 4*p - 53 = 0, -2*i = -3*p + 7*p - 102. What is the highest common factor of i and 196?
49
Let z(j) = j - 3. Let w be z(11). Let b = w + 8. Suppose b + 68 = 4*m. Calculate the greatest common factor of 231 and m.
21
Suppose u + 21 = 5*p, 0 = 5*p + 7*u - 2*u - 45. Let x = p + -3. Let b be (-2 - x/(-3))*-3. What is the highest common factor of 20 and b?
4
Suppose 2*j - 3*s = 3*j - 16, -5*j + 5*s + 40 = 0. Calculate the highest common divisor of 40 and j.
10
Let l be 76/6 - (-10)/30. Let t = 1 + l. What is the greatest common factor of 98 and t?
14
Let w(v) = v**2. Let q be w(1). Let j = -4 + 8. Calculate the greatest common factor of j and q.
1
Suppose -4*v - 72 = -5*b + b, -2*b - 3*v + 46 = 0. Suppose -5*u = 5, -3*u + 15 = 4*q - 2*u. Calculate the highest common factor of q and b.
4
Let c = 133 + -26. Suppose -t + 5*n + 67 = 0, 0 = -t - 4*n + n + c. Let u be t/6 - (-8)/12. Calculate the highest common factor of u and 144.
16
Suppose q + 3*n = -4, 4*q - 3*q - 17 = 4*n. Let u be 0 - (3 + -2) - 11. Let b be (u/q)/(1/(-5)). What is the highest common divisor of 108 and b?
12
Let v(w) = 2*w**2 - 2*w - 2. Let q be v(-1). Calculate the greatest common factor of q and 14.
2
Suppose -4*y = 27 - 307. Suppose -p + 10 = p. Suppose p*m - 3 = 32. What is the highest common divisor of m and y?
7
Suppose -69 = -o - 67. What is the greatest common factor of 22 and o?
2
Let f(x) = -7*x + 1 - 100*x**2 + 101*x**2 + x. Let p be f(7). What is the highest common divisor of p and 12?
4
Suppose -4*d - 5*c + 15 = 0, d - 4*c - 40 = -d. Let v(z) = z + 14. Let n be v(-8). Let a be 4*n - (-3 + 2). What is the highest common factor of a and d?
5
Let f = -73 + 89. Let q(o) = -4*o + 4. Let g be 5/2*(-2 - 0). Let m be q(g). What is the greatest common factor of f and m?
8
Suppose -5*m - 2*p = -38, -3*m = -4*p + 5*p - 23. Let q(x) = -x**3 + 8*x**2 + 2*x - 9. Let s be q(m). What is the greatest common factor of s and 21?
7
Let y = -34 + 55. Suppose -4*f - 3*k + 249 = 0, -5*f - 4*k = -0*k - 311. Calculate the highest common divisor of f and y.
21
Let r be (-15)/(-9) + 2/6. Let z(j) = j + 2. Let n be z(4). Suppose -n = -2*i + 4*i + 3*v, -3*v - 21 = -3*i. Calculate the highest common factor of r and i.
1
Suppose -5*v = -3*b - 20, b - 2*b - 16 = -4*v. Suppose -191 = -v*s - 3*d, -2*s - d + 62 = -31. Calculate the greatest common divisor of 11 and s.
11
Suppose 2*c + 4*y - 27 - 21 = 0, 4*c = -3*y + 111. Let f(n) = n**2 - 2*n - 4. Let d be f(-4). What is the highest common factor of c and d?
10
Suppose 0 = 2*b + 3*l - 60, -3*l + 32 - 188 = -4*b. Let i be (-4)/((-64)/108)*8. What is the greatest common factor of b and i?
18
Suppose -5*q - 11 = -n + 3, -24 = -n - 5*q. What is the highest common divisor of 152 and n?
19
Let a = 75 - -9. What is the greatest common divisor of a and 56?
28
Let b be (1/2)/((-2)/(-4)). Let r be -1*1*(-18 - b). Suppose 21 = 5*i - r. Calculate the highest common divisor of i and 4.
4
Suppose -3*u = 2*i - 22 - 16, -3*i = -u + 9. Let m be ((-48)/(-20))/((-6)/45). Let h = u - m. Calculate the greatest common factor of h and 12.
6
Suppose -v = 1 - 4. Let p(f) = 5*f - 4. Let h be p(v). Calculate the greatest common divisor of h and 44.
11
Let g(c) = -c + 6. Let z be g(-8). What is the greatest common factor of z and 42?
14
Let b be (3/9)/((-3)/(-54)). What is the greatest common divisor of b and 2?
2
Let l be ((-9)/6)/((-1)/2). Let g be l/1 + -3 - -12. What is the greatest common divisor of g and 8?
4
Suppose 4*m = 3*b - 177, -4*b + 3*b + 213 = -5*m. Let y(l) = l**2 - l - 1883. Let v be y(0). Let h be 1/6 + v/m. What is the greatest common factor of 15 and h?
15
Let z(w) = 2*w**2 + 3. Let x be z(4). What is the highest common divisor of 7 and x?
7
Let d be (-5)/(-2 - (-30)/16). What is the highest common factor of 100 and d?
20
Let y be ((-18)/(-54))/(1/54). What is the highest common factor of y and 2?
2
Let d be 5/((-15)/(-2)) - (-284)/6. Calculate the greatest common factor of d and 36.
12
Let y = 75 - -142. What is the greatest common factor of y and 31?
31
Suppose -4*c + 15 = -c. Let q = -5 + 10. Suppose -2*p = -3*l - 6*p + 55, q*l + p - 120 = 0. What is the greatest common divisor of l and c?
5
Let y(l) = 2*l**2 + 18*l - 14. Let a be y(14). What is the greatest common factor of a and 70?
70
Let z(a) = 2*a**2 - 6. Let o be z(6). Let m be (o - -2) + (-10)/(-5). What is the greatest common divisor of m and 28?
14
Let f(z) = -z**2 + 12*z + 5. Let l be f(9). Let g(s) = -s + 8. Let c be g(0). What is the highest common divisor of c and l?
8
Suppose 3*y = -5*n - 21, n + 3 = y + 2. Let g be ((-50)/15)/(y/3). What is the greatest common divisor of g and 25?
5
Suppose 2*w + 10 = -c + 3*c, -5*w + 45 = 5*c. Let q be 3 + 0 + (-2 - 0). Let r be -2 + q - -10*5. What is the greatest common factor of c and r?
7
Let u = 4 - 0. Suppose u*h = 2*h + 22. What is the greatest common factor of 88 and h?
11
Let u(g) = g**2 - g + 2. Let p be u(4). Suppose 6*