test common factor of m and r.
17
Let b = 8 - 5. Suppose 4*d + b*j = 483, 0 = -2*d + d + 4*j + 116. Let s be ((-7)/((-7)/d))/1. What is the greatest common factor of s and 15?
15
Let o(j) = 5*j**2 - j. Let q be o(2). Let a be (q/(-5))/(1/(-5)). Calculate the greatest common divisor of 72 and a.
18
Let o(s) = s + 4. Let c be o(4). Let y be (1/(-3))/(7/(-21))*-3. Let d = c + y. What is the highest common factor of 5 and d?
5
Let u(q) = 13*q - 4. Let y(l) = -25*l + 8. Let k(c) = -7*u(c) - 4*y(c). Let n be k(6). Suppose 7*w - 80 = 3*w. Calculate the greatest common factor of w and n.
10
Suppose 315 = 3*d - l, -400 = -4*d - 2*l + 30. Let c be 4/10 + d/10. Calculate the highest common divisor of c and 1.
1
Let c be (-2)/(-5) - (-36)/(-15). Let n be (14/5)/(c/(-30)). Suppose -p - 4*p + 30 = 0. Calculate the greatest common factor of p and n.
6
Suppose -3*q = -5*q + 1588. Let u be q/9 - 10/45. Calculate the greatest common divisor of 11 and u.
11
Let y be (-2)/(-6) + (-88)/(-6). Suppose -k = 3*a + 540, -3*a = a. Let u be ((-9)/12)/(3/k). What is the highest common divisor of y and u?
15
Let t = -2 + 6. Suppose t*o - 5 = -1. What is the highest common divisor of 4 and o?
1
Suppose -2*x = 5*d - 95, 3*d + x = 2*x + 68. Let l = d - 15. Let w = l + 34. Calculate the highest common factor of w and 5.
5
Suppose 2 + 13 = 5*y. Suppose -y*k + 71 = 4*i, 66 + 4 = 5*k - 3*i. Calculate the highest common divisor of 136 and k.
17
Suppose -2 = 3*h - 11. Let p(m) = m**2 - 4*m - 1. Let f be p(5). Suppose -4*x = y - 25, h*x + f*y + 5 = 27. Calculate the highest common divisor of 9 and x.
3
Suppose 5*g + 4*p - 498 - 318 = 0, 336 = 2*g + 4*p. Calculate the highest common divisor of g and 40.
40
Let c(s) = 2*s**3 + 2*s**2 - s + 1. Let x be c(3). What is the highest common factor of 10 and x?
10
Let j(s) = s**3 - s**2 - s - 1. Let w(o) = -o + 7. Let t be (-37)/(-7) + (-4)/14. Let v be w(t). Let z be j(v). Calculate the highest common factor of z and 4.
1
Let n(o) = o**3 + 9*o**2 - 3*o - 8. Let d be n(-9). Calculate the greatest common divisor of 19 and d.
19
Suppose -3*s = 7 - 31. What is the highest common factor of s and 16?
8
Let n be (-12)/(2 - (-2 + 3)). Let y = 111 + n. What is the greatest common factor of 11 and y?
11
Let q be (8 + 0)/(0 - -2). What is the greatest common divisor of q and 10?
2
Let u(p) = -p**2 - 8*p + 2. Let b be u(-6). Suppose 0 = 4*j - 5*k - 127, k = -5*j - 4*k + 125. Let c = 28 + j. Calculate the highest common factor of c and b.
14
Let v(c) be the second derivative of c**4/12 - c**3 - 5*c. Let b be v(8). What is the greatest common divisor of 144 and b?
16
Suppose 2*o + 144 = 2*b, -20 = b + 2*o - 86. Calculate the greatest common divisor of b and 20.
10
Let z(m) = 3*m. Let u be z(8). What is the highest common factor of u and 36?
12
Let q = -18 - -28. What is the greatest common factor of q and 10?
10
Let g be (4 + -3)*(1 + 14). Suppose b + 3*p = -3*b + 20, 3*b = 2*p + g. Suppose 0*c + 55 = b*c. What is the highest common divisor of 1 and c?
1
Let k(t) = 28*t. Let c be k(1). Calculate the highest common divisor of c and 14.
14
Suppose 0 = 3*i - 5 - 4. Suppose 7*w - i*w + 14 = d, 0 = -4*w. What is the greatest common factor of 42 and d?
14
Suppose 2*v = -8, 0*p + 2*p - 16 = -v. Calculate the greatest common factor of p and 10.
10
Suppose -d + 48 = 3*d. Let u(w) = 3*w - 16. Let a be u(d). What is the greatest common divisor of a and 160?
20
Let m(i) = -i**3 - 6*i**2 - 4*i + 4. Let h be m(-6). Suppose 0 = 30*g - 38*g + 112. What is the greatest common divisor of h and g?
14
Let j(r) = r**3 - 6*r**2 + 7*r - 5. Let t be j(5). What is the highest common divisor of t and 2?
1
Suppose 5*z - 3*p - 21 = z, -3*p = 3*z. Calculate the greatest common divisor of 3 and z.
3
Suppose 2*b - 4*r - 20 = 0, -3*b = 2*r + 2*r - 40. Let h(y) = -5 + 2*y - 7 + 4 + 16*y - y**2. Let c be h(10). Calculate the greatest common divisor of c and b.
12
Let k be (5/4)/(3/276) - -2. Calculate the greatest common factor of k and 13.
13
Let r(p) = 2*p**2 + 2*p - 4. Let v be r(2). What is the greatest common divisor of 64 and v?
8
Suppose 3*a - 33 + 3 = 0. What is the greatest common factor of a and 10?
10
Suppose 5*s = -2*b - 30, 5*b + 6 = -s - 0*s. Let k = s + 9. Calculate the highest common factor of 15 and k.
3
Let h(k) = -11*k**3 + k. Let u be h(-1). Suppose -s - 3*v - 105 = s, -u = -2*v. Let p be ((-8)/6)/(2/s). Calculate the highest common factor of 10 and p.
10
Let w be 2/(-14) - (-850)/70. Calculate the greatest common factor of w and 108.
12
Let w be (-1)/1*-3 + 1. Suppose -4*s = w*j - 472, -4*j + 466 = s + s. What is the greatest common divisor of j and 23?
23
Let g = 107 + -71. What is the greatest common factor of g and 9?
9
Suppose 0 = -3*p - 15, -b = 3*b + 4*p - 76. Let k = 76 + -40. What is the highest common factor of b and k?
12
Suppose -2 + 9 = 2*t - i, -17 = -4*t - i. Suppose 693 = t*v - v. What is the highest common factor of v and 21?
21
Let r be (-32)/6*(-3 - (-45)/(-2)). Calculate the highest common factor of r and 17.
17
Let d(a) = -a - 5. Let w be d(-9). Suppose -8 = -w*v + 4*l, 5*v + l = -12 - 8. Let x = v + 11. Calculate the highest common divisor of x and 24.
8
Let d be (-249)/(-13) - 2/13. Calculate the greatest common divisor of 95 and d.
19
Suppose -9*r - 48 = -13*r. Suppose 0 = -4*g + 59 + 13. Calculate the highest common divisor of r and g.
6
Let h(l) = 8*l - 8. Let f be h(8). Let w = 12 + -5. What is the greatest common factor of w and f?
7
Let g(m) = -14*m - 1. Let z be g(-2). Suppose 0 = h - 4*h + z. Let u = h - -7. Calculate the highest common factor of 64 and u.
16
Let r be (-2)/((-72)/(-33) - 2). Let p be (-2 - r)*2/3. Let x be ((-108)/30)/(6/(-15)). Calculate the greatest common divisor of x and p.
3
Let z = 15 + -16. Let n be (10 - -198) + z/(-1). Calculate the greatest common divisor of n and 19.
19
Let k(l) = -l**3 + 7*l**2 + 8*l + 9. Let x be k(7). Suppose 27 = -4*a - 5. Let c be (-210)/a + (-2)/8. Calculate the greatest common divisor of c and x.
13
Let a be -3 - -4*(-2)/(-4). Let r = a + 2. Let o be 3 - r - (-22)/1. What is the highest common divisor of 12 and o?
12
Suppose -16 = -3*p - p, 2*u + 2*p - 26 = 0. Suppose 2*w = 3*w - u. Suppose -k + 21 = 3*m, -5*k + m = 2*m - 49. What is the greatest common factor of w and k?
9
Let y(a) = -a**3 + 7*a**2 - 5*a + 7. Let i be y(5). Let n(s) = s**3 + 9*s**2 - 11*s - 2. Let m be n(-10). What is the highest common divisor of m and i?
8
Suppose 0 = m + m - 196. Let h = -18 + m. What is the greatest common divisor of 20 and h?
20
Let v be -3 - 5*(-3 - -2). Suppose 4*g + 27 - 107 = 0. Calculate the highest common divisor of g and v.
2
Let r(w) = 2*w**2 + 4*w + 2. Let h be r(4). Suppose 3 = -3*f + 9. Let s be f/(-7) + 216/21. What is the highest common factor of s and h?
10
Let l = 241 + -181. Let a = -12 + 32. What is the highest common divisor of a and l?
20
Let l(w) = w**3 + 8*w**2 + 3*w + 9. Let a be l(-6). What is the greatest common divisor of a and 21?
21
Let p be (-16)/(-24) + (-92)/(-6). Let m = 48 - 0. What is the highest common factor of m and p?
16
Suppose -4*v + 6*v - 24 = 0. What is the highest common divisor of 12 and v?
12
Let v(x) = -x**3 + 16*x**2 + x + 22. Let l be v(16). Calculate the highest common divisor of l and 57.
19
Let t(z) = -z**3 + 4*z**2 + 3*z - 8. Let f be t(3). Calculate the greatest common factor of f and 30.
10
Let m = 30 + -9. Calculate the highest common divisor of 21 and m.
21
Suppose -45 = -3*u - 2*u. Suppose 0 = -8*j + u*j - 185. What is the highest common divisor of 37 and j?
37
Let l(w) = 11*w**3 - 1. Let m be l(1). Let b(f) = -f**2 - 4*f - 1. Let x be b(-3). Suppose -3*p + 350 = x*p. What is the greatest common divisor of m and p?
10
Suppose 5*f - f = -5*j - 481, -4*f + 449 = -5*j. Let m be -6*(2 + j/9). What is the greatest common divisor of 20 and m?
10
Let o(i) = -i**2 - 14*i + 18. Let j be o(-15). Suppose 2*z - 104 = j*t, -z + 96 = z - 5*t. What is the highest common factor of 145 and z?
29
Let d = -30 - -54. Let r be ((-6)/15)/((-3)/180). What is the greatest common divisor of d and r?
24
Let c = 4 + 3. Suppose 4*a = 4*n, 5*n - c = 3. Suppose -2*v = a*v - 616. Calculate the highest common divisor of 14 and v.
14
Suppose -4*t + 23 = -1. Suppose t*w -