a. Suppose -5*i = m - 13, m = i + 4*i - a. What is the highest common divisor of m and 2?
1
Let l(c) be the first derivative of c**4/4 + 7*c**3/3 - 5*c**2 - 7. Let q be l(-7). Calculate the highest common divisor of q and 7.
7
Suppose -4*b = -3*b - 64. What is the greatest common factor of b and 8?
8
Let x(t) = -t + 5. Let k be x(0). Let w(p) = p - 7. Let d(s) = s - 8. Let g(j) = -3*d(j) + 4*w(j). Let z be g(k). What is the highest common divisor of z and 5?
1
Suppose -4*c + 4*n + 142 = 3*n, -2*n = -5*c + 176. Let j(l) = -34*l - 180. Let s be j(-6). What is the highest common divisor of s and c?
12
Suppose 0 = d + 3*d. Suppose -5*a + 2*o + 186 = d, -4*a = 5*o - 172 + 43. Calculate the greatest common factor of a and 90.
18
Let w(l) = l**2 - 4. Let t be w(3). Suppose -r - 2*j - 94 = -0*r, t*r - j = -525. Let g be (3 - r - -2) + 3. What is the highest common factor of g and 14?
14
Let w be ((-3)/9)/(2/(-12)). Let j be (38/4)/((-2)/4). Let h = j + 37. What is the greatest common factor of w and h?
2
Let a be (-12)/30 - 1/(5/(-17)). Calculate the highest common factor of 24 and a.
3
Let p(d) = -d**3 + d**2 + 2*d + 1. Let t be p(2). Let k(c) = 67*c**3 - 2*c + 1. Let o be k(t). Calculate the highest common factor of o and 6.
6
Suppose -5*m = -2*r - 11, 2*r - 3*r + 11 = 3*m. Calculate the greatest common factor of 3 and m.
3
Let q(x) = x**3 - x + 2. Let t be q(-2). Let d be t/8 - 21/(-2). Calculate the highest common divisor of d and 70.
10
Suppose 4 = -2*v, 4*p + 2*v - 140 - 8 = 0. What is the greatest common divisor of p and 38?
38
Suppose -3*a + 26 = -5*p, p - 3 = -a - 5. Suppose -a*w = 3*f - 80, -2*f = -w + 25 + 15. Calculate the highest common divisor of 5 and w.
5
Let h(c) = c**3 - 7*c**2 + c + 5. Let p be h(7). Calculate the highest common factor of 30 and p.
6
Let f = -1 - -3. Suppose 0 = f*g - 4*s + 2*s - 116, -g + 70 = 5*s. Calculate the highest common factor of g and 15.
15
Let p be (-75)/(-9) - ((-2)/3 - -1). What is the greatest common factor of 80 and p?
8
Suppose 12 = 3*b - 4*a, -3*b + 0*a + 12 = -3*a. Let j(t) = t**3 + 4*t**2 - 2*t - 2. Let y be j(-4). What is the greatest common factor of y and b?
2
Suppose -27 + 9 = -3*w. Let s = w - 3. Let m = s - -1. Calculate the greatest common divisor of 4 and m.
4
Let j = 23 - -43. Calculate the greatest common factor of j and 22.
22
Let u = 1 - -6. Let c be ((-9)/2 + 0)*2. Let b be c/(1 - (-8)/(-7)). Calculate the highest common factor of b and u.
7
Suppose -2*r + 144 = r. Suppose 2*m + 2*m = r. What is the greatest common factor of 6 and m?
6
Let s be 163/(-7) - (-18)/63. Let d = 26 + s. What is the highest common divisor of 2 and d?
1
Suppose 0 = -16*y + 11*y + 65. What is the greatest common factor of 91 and y?
13
Suppose 3*k - 33 = p + 22, -2*k + 30 = -2*p. Suppose -b + k = 3. Calculate the highest common factor of b and 85.
17
Let o(b) = b**3 - b**2 + b + 13. Let g be o(0). What is the highest common factor of g and 13?
13
Let r(z) = z**2 + 3. Let t = -6 + 10. Suppose 4*o + 4 = 3*h, 2*o - h + 0*h = -t. Let m be r(o). Calculate the greatest common factor of m and 114.
19
Let d be (28/6)/(1/3). Let i = d - 10. Suppose 0 = 2*w - y - 31, i*w = 3*w - 2*y + 13. What is the greatest common factor of 3 and w?
3
Let c(g) = -4*g - 1. Let w be c(-6). Suppose -q = m - 21, -m - 3*q + 4*q + w = 0. Suppose -77 = 4*y - 297. Calculate the highest common divisor of m and y.
11
Let k = -222 - -397. Suppose -3*o = y - 167, -3*y + k - 52 = 2*o. What is the greatest common divisor of 18 and o?
18
Let k(d) = -d. Let b be k(1). Let z be b + (-2)/6*0. Let w be 90 - (z + 3)/(-2). Calculate the highest common divisor of 13 and w.
13
Let t(v) = v**2 + 1. Let f(r) = -4*r**2 + 4. Let y(j) = f(j) - 6*t(j). Let h be y(-2). Let s = 43 - h. Calculate the highest common divisor of 34 and s.
17
Suppose -x - 2*l = -11, -2*l + 2 = -3*x + 3. Let w be (-3)/3*(-1 + -1). Let r = x - w. Calculate the greatest common factor of r and 8.
1
Let u(r) = -4*r + 4. Let v be u(6). Let q be v/(-14) + (-15)/35. Calculate the highest common factor of q and 5.
1
Let u(s) = 38*s**2 - 2*s + 2. Let n be u(1). What is the greatest common factor of 38 and n?
38
Let a(z) = -z**2 + z + 2. Let f(d) = -d - 2. Let l be f(-8). Suppose -2*n = -l*n. Let h be a(n). Calculate the highest common factor of 18 and h.
2
Let p be (-4 - -5)*3 - 1. What is the greatest common divisor of p and 18?
2
Let m(n) = -n**3 + 6*n**2 - 4*n + 5. Let h be m(3). Calculate the highest common factor of 8 and h.
4
Let w = 5 + -1. Suppose -28 = 5*f - 4*h, 0 = w*f - h - 6 + 24. Let q(o) = -13*o + 2. Let j be q(f). What is the greatest common factor of 6 and j?
6
Let z = -1 - -8. Let o = z + -5. Suppose c - 3*y = 28, 0 = -c + o*c + 4*y - 28. Calculate the greatest common divisor of 7 and c.
7
Let v(l) = -3*l - 8. Let k be v(-7). Let m = k + -8. Let r = 21 - m. What is the greatest common divisor of 112 and r?
16
Let a(o) = -6*o**3 + o**2 + o + 1. Let n be a(-1). Let z be 4/(-10) - (-214)/10. What is the greatest common factor of z and n?
7
Let x = 436 + -422. Let v(s) = 9*s + 1. Let n be v(3). What is the highest common divisor of n and x?
14
Suppose -b = -3*l - 21, 6*b - 50 = 3*b - 4*l. Let r = 152 - 226. Let x be (-2)/4 + r/(-4). Calculate the highest common factor of x and b.
18
Let o be (-725)/(-35) - (-2)/7. Suppose -4*x + 24 = -i - 69, 4*i + 4*x + 392 = 0. Let j = -34 - i. What is the highest common divisor of j and o?
21
Suppose -4*i = -19 - 5. Let k be ((-2)/1)/((-2)/42). What is the highest common factor of i and k?
6
Suppose 0 = 3*s + 43 - 118. Calculate the greatest common factor of s and 175.
25
Let r = 94 + -66. Let z(g) = -2*g - 1. Let y(l) = 5*l + 3. Let o(b) = 2*y(b) + 7*z(b). Let q be o(-2). Calculate the greatest common factor of q and r.
7
Let j(d) = d**3 + 2*d**2 - d + 2. Let v be j(-2). Let p = v + -1. Suppose 4*w - g + 2*g = 51, p*g - 9 = 0. What is the greatest common factor of 8 and w?
4
Let j(u) = -u**2 + 13*u - 10. Let i be j(8). Let c(g) = 16*g**2 - g - 2. Let h be c(2). What is the highest common divisor of h and i?
30
Let d = -43 - -31. Let h = d - -30. Suppose -3*m + 6 + h = 0. What is the highest common divisor of m and 8?
8
Suppose -3*x + 2*w + 58 = x, 4*w = -3*x + 38. Calculate the highest common factor of x and 49.
7
Suppose 4*j + 0*l - 80 = -4*l, -2*l + 88 = 5*j. What is the highest common divisor of 16 and j?
16
Suppose 0 = o - 2 + 1. Let l = o + -4. Let s be (l - -2)/(0 + -1). Calculate the highest common factor of s and 8.
1
Suppose 0 = -4*x - 20 + 56. Let y = -7 + 13. Let z = y + x. What is the highest common factor of 5 and z?
5
Let q(p) = 9*p**2 + 7*p - 4. Let n be q(-4). What is the greatest common divisor of n and 14?
14
Suppose -2*q - 6 = 2. Let t = 2 + q. Let s be t/(-2) + 2 + 61. Calculate the greatest common divisor of 8 and s.
8
Suppose -4*j + 2*b + 3*b + 332 = 0, 2*b + 80 = j. What is the greatest common factor of j and 8?
8
Let m(q) = 2 + 3*q**2 - 9*q**2 - q**3 - 5*q + 1. Let f be m(-5). Let r be f - 2 - 2*-93. Calculate the greatest common factor of 17 and r.
17
Let h(m) = 7*m - 5. Let n be h(2). Let j = 4 - 5. Let s = 28 + j. Calculate the highest common factor of s and n.
9
Let u(m) = -19*m + 1. Let n be u(-1). Let y(l) = -l - 8. Let o be y(-13). Calculate the greatest common divisor of n and o.
5
Let j = -123 + 125. What is the greatest common divisor of j and 50?
2
Let w(q) = -5 + 4 + 0*q - 7*q. Let c be w(-3). Suppose 0 = -4*x + 186 + 134. Calculate the highest common divisor of x and c.
20
Let v(o) = o**3 - 3*o**2 - 2*o + 4. Let c be v(5). Let j(l) = -l + 43. Let s be j(32). What is the greatest common divisor of c and s?
11
Suppose 0 = 9*y + 88 - 223. Calculate the highest common divisor of 165 and y.
15
Let t = 8 + -5. Suppose 8 = t*u + 2. Calculate the greatest common factor of 22 and u.
2
Let g(l) = 6*l + 12. Let m be g(7). What is the highest common divisor of 6 and m?
6
Let v(n) = 10*n + 1. Suppose 3*j = -3*w + 4*w - 7, 0 = -2*w + 2*j + 6. Let x be v(w). Calculate the greatest common factor of x and 44.
11
Suppose 4*w - 265 = 43. Calculate the greatest common divisor of w and 7.
7
Suppose 0 = 3*h + z + 2*z - 27, -2*z + 34 = 4*h. What is the greatest common divisor of h and 200?
8
Let j(a) = -a**2 - 9*a - 5. Let o be