/6. What is the highest common factor of h and n?
5
Suppose 3*z + 4*h + 147 = 0, -4*z = -z - 3*h + 168. Let j = z + 74. What is the highest common divisor of 21 and j?
21
Let f = -4 + 7. Let r = 56 + -40. Let g = r - 14. What is the greatest common factor of f and g?
1
Suppose 0 = -4*p - 2*q + 494, -3*p + 3*q + 176 = -199. Let a be 1/(-3) + p/12. What is the highest common divisor of 20 and a?
10
Let t be ((-6)/(-21))/((-43)/(-7) + -6). Calculate the greatest common divisor of t and 6.
2
Let x(n) = 2*n**2 - 10*n + 9. Let f be x(7). Suppose 4*d - 67 = f. Calculate the greatest common factor of d and 13.
13
Suppose o - 32 = 12. Let u = o - 31. Calculate the greatest common divisor of u and 13.
13
Let c = -6 + 11. Let d be (-8)/(-2*1) - 1. Suppose -5*x + 3*a = -190, d*x + 2*a = -a + 90. What is the highest common divisor of x and c?
5
Suppose -10 = -2*m - 2*q, -m + 3*m - 4*q = -20. Suppose -v = -3 - m. Let i = 1 - -2. What is the greatest common factor of i and v?
3
Suppose 0 = -4*x + 40. Let k(g) = 10*g. Let v be k(1). Calculate the greatest common factor of x and v.
10
Suppose 0 = t + 2*t + 6. Let o be (-14)/2*t/2. Calculate the highest common divisor of o and 56.
7
Let c be 0/1 - 120/(-2). Suppose 2*r + c = -4*n - 2*r, -2*n + 2*r - 50 = 0. Let s be (-8)/n + (-418)/(-5). What is the greatest common factor of s and 12?
12
Suppose 3*o = 2*z + 7*o - 40, -3*z + o = -32. Calculate the greatest common divisor of 12 and z.
12
Let y be -7*1/(3/(-3 + -6)). Calculate the greatest common divisor of y and 14.
7
Let v(c) = c**2 - 2*c - 3. Let z be v(-3). Let p(d) = 14*d - 20. Let h be p(4). Calculate the greatest common divisor of h and z.
12
Suppose -3*v + 22 = 2*i, 2*v + 1 = 6*v - 3*i. Calculate the highest common divisor of 4 and v.
4
Suppose m + 3*h - 15 = -2*m, 0 = 2*m - 2*h - 10. Calculate the highest common factor of 45 and m.
5
Suppose 0*r + 2*p + 226 = 2*r, -5*r + 568 = -4*p. Let m = -48 + r. Let h be 17 - (-2 + 3 - 1). Calculate the highest common divisor of m and h.
17
Suppose 0 = -4*h - 3*u + 1, 2*u = 4*h + 6*u. Let f be (-26)/((-2)/h) - 2. Suppose -3*g = -5 + 2. What is the highest common divisor of f and g?
1
Let l(u) = 3*u - 2. Let w be l(3). Let m be (w/2)/(9/90). What is the highest common factor of m and 14?
7
Suppose q - 1116 = -5*b + 5*q, -2*q = -5*b + 1108. What is the greatest common factor of b and 20?
20
Suppose 3*i = -2*f - 37 + 319, 2*f - 298 = 5*i. What is the highest common factor of f and 16?
16
Let s(q) = q**3 + 17*q**2 - 3*q - 23. Let g be s(-17). What is the highest common factor of g and 42?
14
Let j(o) = -2*o - 4. Let z be j(-3). Suppose -2*v + 68 = 2*v + z*x, -70 = -5*v + 5*x. What is the highest common factor of 2 and v?
2
Let y be 4/((1 - 2)/(-1)). Let f be (42/8)/((-6)/(-32)). What is the greatest common divisor of f and y?
4
Suppose 2*v + 4*g - 32 = 0, 13 - 1 = 4*g. Suppose -o = -p + 6*p - 78, 4*p = o + 57. Calculate the highest common factor of p and v.
5
Suppose -94 = -2*y - d, -5*y + 229 = 16*d - 12*d. What is the highest common divisor of 343 and y?
49
Let i = 6 + 0. Let t be 12/(-4)*32/i. Let v = 26 + t. What is the highest common divisor of v and 2?
2
Let h(u) = 4*u**2 + 9*u + 5. Let b be h(-5). What is the greatest common factor of b and 20?
20
Let u = -22 + 32. Let f(q) = 2*q**2 - 2. Let v be f(6). Calculate the greatest common divisor of v and u.
10
Suppose -2*y = -4*y + 110. What is the greatest common factor of y and 5?
5
Suppose 0 = 2*c + 3*f - 11, -c + 2*c - 13 = f. Let k be 4/((-1)/(7/(-2))). Let x be k/3 + (-8)/(-24). Calculate the highest common divisor of c and x.
5
Suppose -4*d + 7 = -17. Suppose 2*t + 28 = d*t. Calculate the highest common factor of 35 and t.
7
Let x(i) = i**3 - 3*i**2 - i - 3. Let m be x(5). What is the highest common divisor of m and 6?
6
Let u(v) = -46*v - 34. Let y be u(-6). What is the greatest common factor of 22 and y?
22
Suppose -5*d + 9 = -0*l + l, 5*l + d - 117 = 0. What is the greatest common factor of l and 168?
24
Suppose 7*x + 0*x = 2079. Calculate the greatest common divisor of 27 and x.
27
Let f(v) = v**2 - 11*v - 14. Let k be f(17). Calculate the greatest common factor of k and 22.
22
Suppose -2*f = 2*f - 8. Suppose 3*m - 3*a + 0*a - 306 = 0, -f*a + 286 = 3*m. Calculate the highest common divisor of 14 and m.
14
Suppose 2 = 3*s - 7. Let l = -1 + s. Let u be (-29)/(-9) + l/(-9). What is the greatest common factor of 1 and u?
1
Suppose 0 = -2*y - 2*y + 24. Let r be (6/5)/(y/45). What is the highest common divisor of r and 63?
9
Suppose -5*z + 3*z + 4 = 0. Suppose -z*i + 4*i = 170. Let n be ((-3)/9)/(3/(-306)). Calculate the greatest common factor of n and i.
17
Suppose -5*i + 21 = 2*a - 55, -5*a + 1 = -i. What is the greatest common factor of i and 70?
14
Suppose -72*u + 70*u = -38. Calculate the highest common divisor of u and 19.
19
Let f(g) be the second derivative of -g**5/20 - g**4/6 + 5*g**3/6 - 3*g**2/2 - g. Let k be f(-4). What is the greatest common divisor of 81 and k?
9
Let g(m) = 1066*m - 1. Let n be g(1). Suppose -5*j - u = 2*u - 1057, 5*u - n = -5*j. Suppose 0 = 7*b - 134 + 1. What is the highest common factor of b and j?
19
Let n be (-2)/6 - (-33)/(-9). Let a = -4 + 6. Let s be 1*a/n*-2. What is the greatest common divisor of 9 and s?
1
Let z(p) = -p**2 + 13*p - 2. Let t be z(6). Calculate the greatest common divisor of t and 8.
8
Suppose 0 = -3*i - 0*i + 30. What is the highest common divisor of 30 and i?
10
Let q = -6 + 12. Let g(t) = 1 + 4*t - 3*t + 0. Let p be g(q). Calculate the highest common divisor of p and 77.
7
Let g(t) = 18*t**2 - 2*t - 1. Let z be g(-1). Let a = z - 5. Calculate the greatest common divisor of a and 21.
7
Let p = 16 + -12. Suppose f - p = 6. What is the highest common factor of 110 and f?
10
Let k = 60 - 39. Calculate the highest common divisor of k and 14.
7
Let f be (-2)/(-5) - 999/(-15). Suppose -15 + f = 4*q. What is the greatest common divisor of q and 26?
13
Let q be ((-100)/(-5))/((-1)/3*-2). What is the greatest common divisor of q and 30?
30
Suppose 0 = c + 1 - 6. Suppose -2*i - 171 - 144 = -c*r, 4*i - 252 = -4*r. Calculate the greatest common factor of r and 9.
9
Let z(r) = -5*r + 3. Let x be z(-1). What is the greatest common divisor of 2 and x?
2
Suppose -28 = -4*b - 3*v, -3*b - 5*v + 21 + 11 = 0. Let n = 7 + -5. Let k = 8 + n. What is the greatest common divisor of b and k?
2
Suppose -1 - 26 = 3*l. Let p = l + 12. Calculate the highest common divisor of 9 and p.
3
Let v(p) = -p**2 - 4*p + 3. Let n be v(-4). Let i be 10/15*n/2. Calculate the highest common divisor of 5 and i.
1
Suppose -4*w = -k + 4*k - 55, -10 = -2*w + 2*k. Calculate the highest common divisor of w and 25.
5
Let f = 43 - 25. Calculate the highest common factor of 36 and f.
18
Let y = 12 + -4. Calculate the highest common factor of y and 56.
8
Let l(x) = -x + 13. Let r be l(9). Suppose 3*w + t - 291 = -t, -w = -r*t - 111. What is the greatest common divisor of 9 and w?
9
Suppose -4*x + 32 = -0*x. Let r = x + 2. Calculate the highest common factor of r and 10.
10
Suppose 0 = 6*l - l - 35. Suppose -5*v + 158 = -17. What is the greatest common divisor of l and v?
7
Suppose 5*n - 4*v - 642 = 0, 4*n = -4*v + 525 - 33. Calculate the highest common divisor of n and 18.
18
Suppose -3*d + 15 = 0, 0 = -5*r + r + 2*d + 38. Calculate the greatest common factor of 12 and r.
12
Suppose 2*s + 15 = 5*s. Let j = -4 + 9. Calculate the greatest common divisor of s and j.
5
Suppose -3*j + 72 = 18. What is the greatest common factor of j and 162?
18
Let l(y) = -35*y**3 + y - 1. Let x be l(1). Let d be 6/(-33) + x/(-11). Calculate the greatest common factor of 33 and d.
3
Let k be 68*4/(-1 - -3). What is the highest common divisor of k and 17?
17
Suppose 4*l - 48 = -0*l. Let u(w) = 3*w - 4. Let v be u(3). Suppose v*y - 163 - 377 = 0. Calculate the highest common divisor of l and y.
12
Let q = -7 + 22. Suppose 5*m = -q, -m = 5*y - 2*m - 78. What is the greatest common divisor of 150 and y?
15
Let b = 32 + -20. Let c be (4 - 2)/(2/4). Calculate the highest common factor of c and b.
4
Let g = -31 - -51. What is the greatest common factor of 20 and g?
20
Let f be (3/9)/((-2)/(-24)). Suppose f*v - 50 = -10. Suppose -2*i - 350 = -5*h + i, i = 0. Calculate the greatest co