.
11
Let r = 22 + -14. Let q be (-3)/9*-2*12. What is the highest common factor of q and r?
8
Suppose -z = -5*k + 15, 30 - 6 = 2*k - 4*z. Let r(v) = 3*v**3 - v + 1. Let i be r(k). Let b = 258 + -97. What is the highest common factor of b and i?
23
Let w be (4 + -2)/1 + -138. Let y be w/(-5) - 7/35. Calculate the greatest common factor of y and 9.
9
Suppose 961 - 70 = 3*w. Calculate the highest common factor of w and 33.
33
Let f be 3/2*(-2 + 4). Let s be (-2 + 2)*(-1)/3. Suppose f*l + 23 - 149 = s. Calculate the highest common factor of l and 21.
21
Let m(j) = -j**2 + 2 - 2 - 5*j - 4 + 5. Let w be m(-5). Calculate the highest common factor of 11 and w.
1
Let h be 4/(-6) - (-168)/9. Suppose -2*u = 2*o - 0*o + 10, -u - 15 = 3*o. Suppose 0 = -t - u*t + h. What is the highest common divisor of t and 126?
18
Suppose 0 = -5*m + 11*m - 12. What is the greatest common factor of m and 3?
1
Suppose 6*q - q = 5. Let i be ((-2)/3)/q*-6. Let h(a) = a**3 - 4*a**2 + 4*a + 4. Let t be h(i). Calculate the greatest common divisor of t and 10.
10
Let m be 138/9 - 1/3*1. What is the highest common divisor of 165 and m?
15
Suppose 2*b - 3*b + 9 = 0. Calculate the highest common factor of 72 and b.
9
Suppose 4 = 2*l, -3*l - 6 - 42 = -3*t. What is the highest common factor of t and 18?
18
Let g(c) = -2*c + 14. Let o be g(6). Calculate the greatest common divisor of 1 and o.
1
Suppose 2*d - 6 = d. What is the highest common divisor of 6 and d?
6
Suppose 2*b + 3 = 33. Suppose -4*x + b = -x. What is the highest common divisor of x and 15?
5
Let u(l) = -l**3 - 7*l**2 - 9*l + 12. Let o be u(-5). What is the highest common factor of o and 56?
7
Let h = -51 + 57. What is the highest common factor of 48 and h?
6
Suppose 2*r + 3*f = 7, 0 = 5*r - r - f - 7. What is the highest common divisor of 12 and r?
2
Let k(s) = -17*s + 4. Let v be k(-12). Calculate the highest common factor of 13 and v.
13
Suppose -4*i + 2 = 4*h - 310, -3*i = -4*h + 305. Let b be -10*(1/(-2) - -1). Let v(u) = -u + 2. Let y be v(b). What is the highest common factor of y and h?
7
Suppose 78 = -5*p + 228. What is the highest common factor of p and 150?
30
Suppose -2*n - 124 = -4*s, -3*n + 0*n + 38 = s. What is the highest common factor of 16 and s?
16
Suppose -2*c - 10 = -80. Let u = -15 - -15. Suppose u = -3*v - 6, 0 = -9*l + 4*l - 2*v + 21. What is the greatest common divisor of l and c?
5
Suppose 3*s + 63 = 1533. Suppose -130 = 5*c + 3*v - s, -5*v + 216 = 3*c. What is the highest common factor of c and 48?
24
Let y(c) = 9*c - 29 + 3 + 17. Suppose g = 3*i - 6, g + 4*i + 0*i - 22 = 0. Let z be y(g). What is the greatest common divisor of 5 and z?
5
Let p = 18 - 3. Let h = -16 - -31. What is the greatest common divisor of h and p?
15
Let m(z) = -3*z**3 - 3*z**2 - 4*z - 1. Let o be m(-5). What is the highest common divisor of o and 29?
29
Let a = -351 - -193. Suppose 4*t + 0*t = -8. Let q be t/11 - a/22. What is the greatest common factor of q and 1?
1
Let f(n) = -n**2 - 6*n + 8. Let z be f(-6). Let c(v) = -4*v**2 - 2*v + 1. Let p be c(1). Let r = z + p. Calculate the highest common factor of 6 and r.
3
Let x be ((-16)/(-20))/(4/10). Suppose -4*k = w + 9, x*w = 5*w - 4*k - 53. What is the greatest common factor of w and 1?
1
Suppose 9 = y - 4*b - 5, -3*y = b - 42. Calculate the highest common divisor of 2 and y.
2
Suppose -4*p = 5*b - b - 36, p + 3*b = 17. Suppose -p*x = -9 + 4. Let c be (1/(-2))/1*-2. Calculate the highest common factor of x and c.
1
Let p(x) = 2*x - 1. Let b(d) = d - 1. Let f(w) = -5*b(w) + 2*p(w). Let k be f(6). Let j be (-3)/((-1)/(-5)*k). What is the greatest common divisor of 2 and j?
1
Suppose 50 = i - 3*q, 3*q + 0*q = -i + 80. Calculate the highest common divisor of i and 52.
13
Let r be -7*2/(-2)*1. Let x = 40 + -19. What is the greatest common factor of r and x?
7
Let h be 1/((10/288)/5). Let w be h/40 - (-4)/10. Calculate the greatest common divisor of w and 8.
4
Suppose -3*r - 2*r = 15, 5*r = -2*b + 23. What is the highest common divisor of b and 133?
19
Suppose -12 = g - 4*g. Let s(w) = -w**3 + 6*w**2 - 4. Let t be s(g). What is the highest common factor of t and 14?
14
Let a be 12/(-8)*2 + 3. Suppose -3*s + a*s + 78 = 0. Calculate the highest common divisor of 208 and s.
26
Suppose -14*k + 12*k + 44 = 0. What is the greatest common divisor of k and 11?
11
Suppose -2255 = -8*b + 3*b. Let a = 671 - b. Calculate the greatest common divisor of a and 20.
20
Let f = 13 - 4. What is the highest common divisor of 1 and f?
1
Let j(s) = s**3 + 4*s**2 - 8*s - 5. Let h be j(-5). Suppose 5 - h = -r - 2*b, 0 = -4*b + 8. Let m = 10 + -5. What is the greatest common divisor of r and m?
1
Let y be (-33)/(-3) + -3 + 1. What is the greatest common factor of y and 3?
3
Suppose 0 = 4*k + 5*l - 435, 548 = 5*k + 6*l - 4*l. What is the highest common divisor of k and 10?
10
Let m = -18 + 10. Let f(v) = -92*v - 5. Let i be f(m). Suppose i - 191 = 4*n. Calculate the greatest common factor of n and 15.
15
Let s(f) = 9*f - 2. Let b be 2/6*(-150)/(-5). Let i be s(b). Calculate the highest common divisor of 8 and i.
8
Let i be 2/(-1*4/(-6)). Suppose -2*j = -j + 2. Let t be (-12)/(2*j/4). What is the greatest common factor of i and t?
3
Suppose 19*a - 14*a = 0. Suppose -2*d + 378 = -a*d. Calculate the highest common divisor of 21 and d.
21
Suppose -5*m - 174 = -11*m. Calculate the greatest common divisor of 232 and m.
29
Suppose -3*c - 2*c = -4*l - 88, -c + 5*l = -26. Let o(b) = -b**3 - 4*b**2 - 4*b - 1. Let u be o(-3). What is the highest common factor of c and u?
2
Let n be -3*(9 + (-2 - 0)). Let v = n + 34. Calculate the greatest common divisor of 117 and v.
13
Let q = 80 + -40. Let d = 1 - 1. Suppose d = 2*n - 13 - 3. Calculate the highest common factor of q and n.
8
Let a = -88 - -101. Calculate the greatest common factor of a and 117.
13
Let p(s) = -s**3 - 12*s**2 + 2. Let l be -9 + (0/(-1) - 3). Let b be p(l). Let q(m) = 42*m + 1. Let a be q(b). What is the greatest common divisor of 34 and a?
17
Let s(n) = 5*n + 1. Let r be s(1). What is the greatest common factor of 54 and r?
6
Let x = 2 - 0. Suppose 7 = x*w - 3. Let i = 8 - w. Calculate the highest common factor of 27 and i.
3
Let b(o) = o**2 - o - 1. Let y be b(3). Let t be (-5 - 0)*5/(-1). Calculate the greatest common divisor of y and t.
5
Let o(k) = 2*k**2 - 17*k + 8. Let h be o(16). What is the greatest common divisor of 31 and h?
31
Suppose 15 + 5 = 5*d + 2*u, -2*d + 2 = 2*u. What is the greatest common divisor of 66 and d?
6
Let r be (-6)/8 - (-93)/12. Calculate the highest common factor of 21 and r.
7
Let x be (3*(-2)/3)/(-1). Suppose -4*m + 12 = 0, 0 = q - m + x*m - 15. Calculate the highest common factor of 132 and q.
12
Suppose -7*d - 1080 = -12*d. What is the greatest common factor of d and 24?
24
Suppose 4*l - 38 = 5*o, 5*l - 70 = -0*l - 5*o. Suppose -3 = 4*f - 15. Suppose 0 = -v - f*v + 24. What is the highest common divisor of v and l?
6
Let z(b) = -b + 10. Let w be z(7). What is the greatest common divisor of w and 15?
3
Suppose 4*z + 4*m = 24, -m = -5*z + m + 2. Suppose 19 + 6 = 5*d. Calculate the highest common divisor of z and d.
1
Let w be ((-1 - -2) + -97)/(-1). Calculate the highest common factor of 24 and w.
24
Let m be 12 - (-3)/9*0. Let x be -2 + (4 - (-1 - 0)). Suppose 3*r - 4*b = 52, -116 = -4*r - x*b - b. What is the greatest common divisor of r and m?
12
Suppose -2*x - 2*x = 0. Suppose 0 = -2*a - x*a + 124. Let d = a + 1. What is the highest common divisor of 7 and d?
7
Let b be 4 - (4 + -3)*-16. What is the greatest common factor of b and 140?
20
Let r be ((-2)/(-2))/((-3)/(-9)). What is the greatest common divisor of r and 21?
3
Let s be (-1)/((-16)/(-6) + -3). Suppose -k - s = -5. Suppose -14 = -4*b + 50. Calculate the greatest common divisor of k and b.
2
Suppose 3*a + 13 = 43. Suppose b - 1 - 1 = 0. Let n be 10/(2*b/40). Calculate the highest common divisor of n and a.
10
Suppose 0 = 3*a - 147 + 15. What is the highest common divisor of a and 11?
11
Suppose 3*x + 226 - 34 = 5*n, -4*x - 160 = -4*n. Let y = -20 + n. What is the greatest common factor of y and 4?
4
Suppose 0*v - 10 = -3*f - v, 0 = 3*f - 4*v + 10. Suppose -4*q + 5*q = -f*p + 75, q - 2*p = 79. Calculate the highest common factor of q and 7.
7
Let