- 16. Let v be (2/y + (-8)/24)*-63. Calculate the highest common divisor of 63 and v.
21
Suppose 3*o + 140 = o. Let v = o - -112. What is the greatest common divisor of v and 63?
21
Let o(y) = 14*y**2 + 4*y + 13. Let i be o(-2). Calculate the highest common divisor of i and 549.
61
Let j = -129 - -129. Let a be ((-36)/(-21))/(j - (-4)/14). Calculate the highest common divisor of a and 4.
2
Let g be (-4 + 6)*(-1125)/(-30). What is the greatest common divisor of g and 425?
25
Let u be 4/3*-10*9/12. Let k(h) = -8*h - 11. Let f be k(u). What is the highest common factor of 23 and f?
23
Let t = 133 + -113. Suppose -35 = -p - 2*q - 3*q, -q - 59 = -2*p. What is the greatest common factor of p and t?
10
Suppose 54*r + 528 = 65*r. What is the greatest common divisor of r and 1008?
48
Suppose -19 = -5*j + 3*x, -7 = -3*j - 4*x + 16. Suppose o + j*v = 8, 0 = o - v + 4*v - 16. What is the greatest common divisor of o and 7?
7
Let l = -6 + 8. Suppose r = -4, 0*r - 80 = -c + l*r. Let h(p) = -p**2 - 10*p + 8. Let b be h(-10). Calculate the greatest common factor of b and c.
8
Let t = 29 - -34. Let r = -5675 - -5684. What is the greatest common factor of t and r?
9
Suppose 3*v - 11 = -5*r, -5*r + 25 = -5*v - 10. Suppose 5*x + 105 = r*s, x - 132 = -4*s - 3*x. Calculate the greatest common factor of s and 20.
10
Let w(u) = 9*u**2 + 76*u - 3. Let x be w(-9). What is the greatest common factor of x and 91?
7
Let a be ((-7)/4 - 3)*-4. Suppose 3*r - r - 291 = -3*y, -y + 2*r + 97 = 0. Let m = y + -59. Calculate the greatest common factor of m and a.
19
Let s = -120 + 126. Let v be 68/s*(-45)/60*-4. What is the greatest common divisor of 374 and v?
34
Let h be (-336)/(-126)*(2 + 1). What is the highest common divisor of h and 3?
1
Let i(b) = -8*b + 4. Let s be i(-2). Suppose -2*l + s = 2*l. Calculate the greatest common factor of 2 and l.
1
Let x(w) = -w**2 + 28*w + 106. Let m be x(29). Suppose p + 2*j = -0*j + 5, -p + 3*j + 20 = 0. Calculate the greatest common factor of p and m.
11
Suppose -8*j + 4*j = -4. Suppose -5*a - 9 - j = 0. Let z be (-32)/12*(-4 + a). What is the highest common divisor of z and 32?
16
Suppose -8*i + 67 = 27. Suppose i = 5*p - 90. Calculate the greatest common factor of p and 19.
19
Let r(s) = -s**2 - 12*s - 16. Let g be r(-10). Suppose 0 = b - 2*b - 2*f, -g*f = 12. What is the highest common divisor of b and 48?
6
Suppose 48 = 4*a - 4*c, 5*a = -4*c + 37 + 50. Suppose 2*z - 12 = -0. Calculate the highest common divisor of z and a.
3
Suppose 0 = 2*d + 3*n - 15, -d - 3*n + 25 = 2*n. Suppose 486 = 5*a + 2*r, -3*r = -d*r - 9. What is the highest common factor of 12 and a?
12
Let q(v) = -v + 15. Let f = 56 + -51. Let a be q(f). What is the highest common factor of a and 4?
2
Let u(c) = 59*c - 1. Let m be u(2). Let p(d) = -6 + 41*d + 1 - 50*d - 4*d**3 + 3*d**3 - 7*d**2. Let t be p(-6). Calculate the highest common factor of m and t.
13
Suppose 5*q - 4*q - 49 = 0. Let f = 963 - 620. Calculate the greatest common divisor of f and q.
49
Suppose -2*b + 24 = -3*r, -69 = -5*b - 13*r + 16*r. What is the greatest common divisor of 35 and b?
5
Let o = 852 - 387. Calculate the greatest common factor of o and 60.
15
Suppose -5*j = 2*j + 112. Let n(v) = v**2 + 13*v + 24. Let c be n(j). Let y be (-84)/(-10) + 2/(-5). Calculate the greatest common divisor of c and y.
8
Let x = 61 + -103. Let a = -27 - x. Let w = 9 + -6. What is the highest common factor of a and w?
3
Let r(b) = 2*b**2 + 4*b + 2. Let f be r(4). Let j = 95 + -59. Let i be (-88)/(-9) + 8/j. Calculate the greatest common factor of i and f.
10
Suppose -z + 2 = -2. Suppose r - 2*g - 8 = -0*r, -z*r + 3*g = -7. Let d be ((-8)/(-4))/(r/(-16)). Calculate the highest common factor of d and 16.
16
Let f be (-3 - (-22)/6) + 20/6. Let o be (-4 - (-5 + 0)) + -1 + f. Suppose 9*q = 4*q + 40. Calculate the greatest common factor of o and q.
4
Let x = -33 + 46. Suppose f - 12 = x. Suppose f = 4*a - 35. Calculate the highest common factor of 135 and a.
15
Suppose 0 = -13*f + 9*f + 12, -4*v + 4*f + 124 = 0. Suppose -133 = -p - 48. Calculate the highest common factor of v and p.
17
Let g(d) = d**2 + 4*d. Let t be g(-3). Let j = 0 - t. Suppose -4*u - 3*a + 96 = 0, -72 = u - 4*u - a. What is the greatest common factor of j and u?
3
Suppose 7*i + 170 - 450 = 0. What is the greatest common factor of 312 and i?
8
Suppose -11*c = -6 - 71. Calculate the highest common divisor of 161 and c.
7
Suppose 24*o - 122 - 358 = 0. What is the greatest common divisor of o and 10?
10
Suppose -3*s - 10 + 157 = 0. What is the greatest common divisor of s and 196?
49
Let b = -4 + 7. Let q(y) = 5*y**2 - 8*y - 4. Let f(r) = -r**2 - 1. Let z(d) = 4*f(d) + q(d). Let o be z(10). What is the greatest common factor of o and b?
3
Suppose 0 = -5*u + 10562 - 10202. Let y(w) = w**2 - 4*w + 3. Let l be y(5). What is the highest common divisor of l and u?
8
Let s = 342 + -306. Let w(t) = t + 6. Let h be w(6). Calculate the greatest common factor of s and h.
12
Suppose -3*v + 42 = -4*r, -5*v - 3*r + 41 = -0*v. Let h be v/35 + (-108)/(-14). Let k be (1 + 0)/((-5)/(-40)). What is the greatest common divisor of k and h?
8
Suppose -159 + 642 = 7*o. What is the greatest common factor of 345 and o?
69
Let p be 2*(-56)/(-16) - -44. What is the highest common divisor of 1632 and p?
51
Suppose -19*v + 22*v + 1231 = 5*j, -j = 3*v - 257. Calculate the greatest common factor of j and 32.
8
Suppose -2*a + 92 = 3*s, a - 5 = s - 29. Let r be 3*(0 + 8/6). Suppose -r*b = -3*b - s. What is the greatest common divisor of 4 and b?
4
Let n be (-1)/((-2)/(-6)*-1). Suppose -n*m + 4 = -2*m. Suppose 5*k + 2*k = 84. Calculate the highest common divisor of m and k.
4
Let l be 22/55 + (-92)/5. Let h be 7*(4/l - 300/(-378)). Calculate the highest common divisor of 28 and h.
4
Let j be (-14)/3*(-9 + -3). Calculate the highest common divisor of j and 40.
8
Let t(r) = -2*r**3 - 3*r**2 + 28*r - 36. Let w be t(-6). Calculate the greatest common factor of w and 560.
40
Suppose 2*h + 3*s = 4*h - 22, 12 = -3*s. Suppose h*b = 4*t - 59, 0*b - b + 5 = 0. What is the greatest common divisor of 3 and t?
3
Suppose 4*g + 3*u - 17 = 3*g, -4*g = 2*u - 18. Suppose g*c - 10 - 57 = j, 3*c - 93 = -j. What is the highest common factor of c and 4?
4
Let v(d) = -9*d - 11. Let f be v(-7). Calculate the highest common factor of f and 26.
26
Let d = 915 + -307. What is the highest common factor of d and 114?
38
Let g be (-76 - 0)/(2 + -3). Let w be (1 + 4)/(-25) - (-4862)/85. Calculate the greatest common factor of w and g.
19
Let m(c) = -66*c**3 - c - 1. Let i be m(-1). What is the highest common factor of i and 165?
33
Suppose -r + 466 = -3*r. Let w = r + 354. Let x = -24 + 35. Calculate the greatest common divisor of x and w.
11
Let u be 1*37 + -16 + 18. Let g = 79 - u. What is the highest common factor of g and 8?
8
Suppose -12 = -v - 2*v. Let f(s) = s**3 - 5*s**2 + 6*s - 4. Let p be f(v). Suppose p*u - 34 = -10. What is the highest common divisor of 3 and u?
3
Suppose 3*o + 2*a - 362 = -2359, 0 = -2*a - 8. Let i = -468 - o. What is the highest common factor of i and 15?
15
Suppose -3*f - 13*t + 17*t + 13 = 0, -2*f + 2*t + 12 = 0. Calculate the highest common divisor of 77 and f.
11
Let r(h) = h**2 - 4*h + 8. Let y be r(-7). Suppose 64 = 2*m + j, -m + 3*j - 6*j = -22. Calculate the highest common divisor of y and m.
17
Let y(q) = 2*q + 49. Let x be y(3). What is the greatest common factor of 77 and x?
11
Let f = -37 - -94. Let w = 103 - f. Suppose -61*a + 59*a + 230 = 0. Calculate the highest common factor of a and w.
23
Let y be 4/(-2) + 64/8. Suppose 0 = -2*s - y*s + 3136. Calculate the highest common factor of 49 and s.
49
Suppose -12*t + 132 = -120. Calculate the greatest common factor of 63 and t.
21
Let j = -528 - -543. Calculate the highest common factor of j and 2.
1
Let q(w) = -w**2 + 10*w + 2. Let s be q(10). Suppose 42 = s*l + l. Suppose -n - 252 = -3*n. Calculate the greatest common factor of n and l.
14
Let s(t) = -t**3 + 8*t**2 - 3*t - 16. Let y = -64 + 71. Let r be s(y). What is the greatest common divisor of r and 48?
12
Let d = -50 + 15. Let x be (24/28)/((-10)/d). What is the highest common factor of x and 12?
3
Let x(b) = 30*b + 711. Let j be x(-21). Calculate the greatest common