01. Calculate the greatest common factor of 26 and b.
26
Let u(x) = x**2 - 4*x + 3. Suppose 5*v - 15 = -0*v, f - 4*v + 3 = 0. Let r be u(f). Calculate the greatest common factor of 6 and r.
6
Suppose -44*j + 45*j - 45 = 0. Calculate the greatest common factor of 30 and j.
15
Let c(v) be the third derivative of -v**4/4 + v**3/3 + 2*v**2. Let n be c(-3). What is the highest common divisor of n and 2?
2
Suppose 0 = 2*m - 4*t - 30, 10 = -0*t + 5*t. What is the greatest common factor of 171 and m?
19
Let c = -2 + 0. Let v be 2/(c/(4/(-2))). Calculate the greatest common divisor of v and 5.
1
Suppose 0 = 2*u - 5*f + 634, -4*u + 2*f = 1057 + 243. Let z = 516 + u. What is the greatest common factor of 27 and z?
27
Suppose j - 183 = 2*k - 49, k = 4*j - 53. Let o be -1*(-158 - (-2 - -3)). Let l = o + k. Calculate the greatest common divisor of 15 and l.
15
Let w = 380 + -240. Calculate the highest common factor of 56 and w.
28
Let q(l) = -l**3 + 13*l**2 + l + 5. Let g be q(13). Suppose -7*m - 20 = -3*m. Let o = 7 + m. Calculate the highest common factor of g and o.
2
Let k be 6/(-1 + (-18)/(-14)). What is the greatest common divisor of 14 and k?
7
Let i = -17 + 21. Let f be 6/i*196/3. Calculate the highest common factor of f and 14.
14
Let q = 66 + -27. What is the greatest common factor of q and 13?
13
Suppose 110 = -3*i + 353. Calculate the greatest common divisor of 54 and i.
27
Suppose -3*y + 183 = -c, 0 = y - 2*c - 46 - 20. Calculate the highest common factor of 15 and y.
15
Let z = -6 + 2. Let w = -2 - z. Let a(c) = c. Let v be a(5). What is the highest common divisor of w and v?
1
Let d = -10 + 10. Suppose d = 2*q + 3*q - 50. What is the greatest common divisor of 90 and q?
10
Let z(w) = w - 3. Let t be z(5). Suppose -3*n = -t*g + 18, 2*n + 30 = 4*g - 6. What is the highest common factor of g and 45?
9
Let m(a) = 2*a**2 - a + 2. Let n be m(-2). What is the greatest common divisor of n and 72?
12
Suppose -b + 4 = -8. Suppose x - 4*k + 4 = -k, 2*x - b = -4*k. Calculate the greatest common divisor of 2 and x.
2
Let f = 3 + 8. What is the greatest common factor of 44 and f?
11
Let w be (-37)/(-5) + (-2)/5. Let b(i) = -14*i + 7. Let n be b(5). Let k = 126 + n. What is the greatest common divisor of k and w?
7
Let z(b) = b**2 + 2*b - 5. Let c be z(-4). What is the greatest common factor of c and 27?
3
Suppose -3*x - x + 3*s = -384, 0 = 4*x - 4*s - 384. Let j = x - 16. Calculate the highest common factor of 10 and j.
10
Let v be (3*1)/((-11)/22). Let n(c) = c**3 + 7*c**2 + 6*c + 1. Let r be n(v). What is the highest common divisor of r and 3?
1
Let o be -1*(-5 - (-2 + 2/(-1))). Calculate the greatest common divisor of o and 4.
1
Suppose -2*y - 2 = -26. Let q = y - 11. What is the highest common factor of 7 and q?
1
Let m(i) = i**3 - 6*i**2 + 5*i. Let h be m(5). Suppose h*u - 2*u = -16. What is the highest common factor of u and 88?
8
Let l(d) = 17*d**3 - 2*d**2 + 2*d - 1. Let j be l(1). Let m = -3 - -7. Suppose -7*i = -2*i - m*v, v - 21 = -4*i. What is the highest common divisor of i and j?
4
Let x = 66 + 30. Let v be 3/(-12) + 276/16. Let f = -5 + v. Calculate the greatest common divisor of x and f.
12
Let x = 35 + 14. Calculate the highest common factor of x and 49.
49
Suppose 4*k - 16 = -0. Let d be 0/2 + 108/3. Calculate the greatest common divisor of d and k.
4
Suppose -4*n + n = 66. Let b = 74 + n. Suppose -2*c + b = 2*c. What is the greatest common divisor of 117 and c?
13
Suppose -u = f - 3*u - 10, -2*f - 2*u = -50. What is the greatest common factor of 10 and f?
10
Suppose -3*f + 4*z + 20 = 0, 0*f - 4*z + 4 = -f. Calculate the greatest common factor of 2 and f.
2
Suppose 4*h = 3*h - d + 127, -h - 4*d + 130 = 0. What is the greatest common factor of 14 and h?
14
Suppose -4*v - 5*r = -180, 5*v - 4 = -3*r + 221. What is the highest common divisor of 18 and v?
9
Suppose -2*g - 57 = 7. Let j be g/3*(-27)/6. Calculate the greatest common factor of j and 16.
16
Let b(l) = l**2 + 1. Let g be b(1). Suppose q - 1 - 3 = 0. Suppose -q*t + 12 = -0*t. What is the highest common divisor of g and t?
1
Let r be 39/15 + (-4)/(-10). Suppose 4*x + x = -w, r*w + 2*x = 0. Suppose -d + 6 + 6 = w. What is the highest common divisor of 60 and d?
12
Suppose v = -c + 37, -5*v + 3*c + c = -140. Suppose -4*z + 4 = -v. Suppose z = o - 3*y - 1, 4*y + 12 = 0. Calculate the greatest common factor of o and 8.
1
Let f(z) = -z**2 - 2*z + 20. Let r be f(0). What is the greatest common factor of r and 10?
10
Let o(l) = 29*l**3 - l**2 + 4*l - 2. Let k be o(1). What is the greatest common divisor of k and 50?
10
Suppose 0 = n - 2*a - 298, a + 694 + 463 = 4*n. Calculate the highest common factor of 36 and n.
36
Suppose 2*s = -7*d + 3*d + 40, 0 = 3*s + 12. Calculate the greatest common factor of 96 and d.
12
Let l = -18 + 25. Let n(w) = -w**3 + w**2 - 7. Let h be n(0). Let j = l - h. Calculate the greatest common divisor of j and 42.
14
Suppose -3*y - f + 75 + 70 = 0, -3*f = y - 35. Let g(n) = 4*n - 1. Let k be g(1). Suppose k*a - 60 = -0*a. Calculate the greatest common divisor of y and a.
10
Suppose i - 7 = 4. Calculate the highest common factor of 88 and i.
11
Let h(m) be the second derivative of 1/3*m**3 + 2*m + 0 + 0*m**2 + 13/4*m**4. Let n be h(-2). What is the highest common divisor of n and 19?
19
Let h(b) = b**3 - 12*b**2 - 26*b - 15. Let t be h(14). What is the greatest common divisor of 13 and t?
13
Let a(g) = g - 7. Let s be 1/((-3)/6) - -7. Let w be a(s). Let k be 17*-1*(1 + w). What is the highest common divisor of 153 and k?
17
Let k = -59 + 94. Suppose -5*r + k = -0*r. Let q = 28 - -49. Calculate the highest common divisor of r and q.
7
Let g be (-6)/9 - 184/(-6). Let x(c) = -2*c - 12. Let z be x(-9). What is the greatest common divisor of z and g?
6
Let a(u) = -1 + 6*u - u - 3*u. Let c be a(3). Let g(y) = -y**3 + 4*y**2 - y - 1. Let d be g(3). Calculate the highest common factor of c and d.
5
Suppose -9*z + 780 = -120. Let n(r) = 3*r**2 - r + 1. Let t be n(3). Calculate the highest common factor of t and z.
25
Suppose -6*h = -16 - 62. What is the highest common divisor of 65 and h?
13
Let o(l) = -3*l - 6. Let d be o(-5). Let v = 312 + -222. Calculate the highest common divisor of v and d.
9
Let u = -5 - -7. Let y be (u - -2 - 3)*3. Suppose -5*o + 113 = y*f, -4*f + 45 = 2*o - 3*f. Calculate the highest common factor of o and 33.
11
Suppose -6 = -4*u + 5*h + 59, 4*h - 71 = -5*u. Let w = u + 9. Let j be (-1)/((-26)/24 + 1). What is the greatest common divisor of w and j?
12
Let q be 2*(-2 - (-3)/3). Let d be (q + 1)*20/(-2). Calculate the greatest common factor of 25 and d.
5
Suppose -57 = 13*u - 16*u. Calculate the highest common divisor of u and 19.
19
Suppose -3*t - 24 = -7*t. Let r be -6*(-2 + -1)*1. Calculate the greatest common divisor of r and t.
6
Let a(n) = 2*n**2 + 8*n + 7. Let o = 7 - 3. Let z = -9 + o. Let b be a(z). What is the greatest common divisor of 17 and b?
17
Let x(p) = 2*p**2 - 3*p + 1. Let w be x(-5). Suppose 2*y - w = -y. What is the greatest common divisor of y and 11?
11
Suppose 4*o - 453 = 5*t, -1 + 3 = -2*t. Let a be (2 - -12) + (1*-1 - -1). Calculate the highest common factor of o and a.
14
Let v(z) = z**3 - 2*z**2 - 3*z + 2. Let y be v(3). Let k be 2*-13*y/(-4). Let q = 56 + -30. Calculate the highest common divisor of q and k.
13
Let i = 3 + 7. What is the highest common divisor of i and 50?
10
Suppose -197 = -3*w + 127. What is the highest common divisor of 12 and w?
12
Suppose 3*b - 184 = -2*y, b - 2*y - 58 = -y. Let g = 83 + -71. Calculate the highest common divisor of b and g.
12
Suppose 6*h - 3*h = 108. Calculate the highest common divisor of 180 and h.
36
Let h(k) = 8*k - 6. Let t be h(7). Calculate the highest common divisor of t and 20.
10
Let m = 42 - 15. Suppose 12*g - 7*g - 15 = 0. Calculate the greatest common factor of m and g.
3
Let v be (-9 - -17)*14/8. Calculate the greatest common factor of 21 and v.
7
Suppose 0 = -q + 2*q - 56. What is the highest common factor of q and 7?
7
Let o be (-4)/(-8)*24/2. Let k(p) = p**2 - 5*p. Let u be k(6). Suppose 6 = 4*i - u. Calculate the highest common factor of o and i.
3
Let w = 29 - -1. What is the highest common divisor of w and 3?
3
Let p(n) = n**3 - n + 2. Let r be p(-2). Let x b