7. Let b(t) = t + 27. Let i be b(-15). Let y = i - a. What is the highest common factor of 1 and y?
1
Let l(h) = -3*h - 3. Let k be l(-4). Let p = -16 - -21. Suppose 19 = 4*u - p. Calculate the highest common factor of k and u.
3
Let q = 39 - -105. Calculate the greatest common factor of q and 18.
18
Let j be (-5 + 3 - -4) + 1. Suppose 0 = -m + j + 7. Let v = m + -8. What is the highest common divisor of 8 and v?
2
Let y(g) = 2*g - 4. Let c be y(4). Let p(j) = -j**3 + 4*j**2 + 2*j - 2. Let m be p(c). What is the highest common divisor of m and 4?
2
Let f be ((-9)/15 - -1)*-5. Let q be f/(-5)*(2 - -203). Let s = -2 + q. What is the highest common divisor of s and 10?
10
Suppose 41 = 6*h - 205. Calculate the greatest common divisor of h and 164.
41
Let k = -53 + 37. Let h = -12 - k. Calculate the greatest common factor of 1 and h.
1
Let k = -54 + 104. Calculate the highest common factor of 10 and k.
10
Let l be (-98)/(-21)*(-18)/(-7). Let i(z) = 4*z - 8. Let p be i(l). Suppose 6*y - 10*y + p = 0. What is the greatest common divisor of y and 100?
10
Let m(d) = d + 7. Let a be m(8). What is the highest common divisor of a and 5?
5
Let x be 1 + ((-1)/(-1) - -8). Suppose 96 = x*v - 7*v. What is the highest common factor of v and 8?
8
Let m be (-12)/(-8)*(1 + 1) - -65. What is the greatest common divisor of m and 17?
17
Let d = 6 - -346. Calculate the greatest common factor of 44 and d.
44
Let c(a) = -a**2 + 10*a + 13. Let f be c(11). Suppose 84 = f*s - 0*s. What is the highest common factor of s and 6?
6
Let j = 372 - 156. Suppose 9*f = 5*f + 96. What is the highest common factor of j and f?
24
Suppose -4*g + g + 12 = 0. Suppose -u + g*u = 120. What is the greatest common divisor of u and 10?
10
Suppose 0 = -5*m - 2*w + 266, m + 101 = 3*m - w. Let h = -33 + m. What is the highest common divisor of 57 and h?
19
Let l(x) = x**3 + 3*x**2 - 3*x. Let t = -5 - -8. Suppose 4*c = 3*c + t. Let s be l(c). Calculate the greatest common factor of 9 and s.
9
Let n(p) = p**2 - 9*p + 30. Let r be n(6). What is the highest common factor of 20 and r?
4
Let h(y) = 6*y**3 - 2*y**2 - 10*y + 7. Let z be h(4). Calculate the highest common divisor of 29 and z.
29
Suppose 3*l = -l - n - 5, 0 = 5*n + 25. Let a(x) = l*x**2 + 2*x - 3*x + x**2. Let k be a(-6). Calculate the greatest common divisor of k and 7.
7
Suppose -q = q - 10. Suppose q*u = 443 - 58. Let b(t) = t**2 + 2. Let s be b(3). Calculate the highest common factor of s and u.
11
Let w be 13*(-1 - 0)*-2. Suppose -5 + w = 3*d. Suppose 4*b - 8 - 20 = 0. What is the greatest common factor of d and b?
7
Suppose -2 = -3*p + 34. Calculate the greatest common divisor of p and 108.
12
Suppose -3*u - 13 = -34. Let y(v) = -v**3 - 7*v**2 - 4*v + 7. Let b be y(-6). Let o = b + u. Calculate the greatest common factor of 5 and o.
1
Let g be (-2)/(-6)*(56 + 7). What is the greatest common divisor of 7 and g?
7
Let j(v) = -v**2 - 3*v + 4. Let s be j(0). Calculate the greatest common divisor of 16 and s.
4
Suppose d - 7 = -0*d. Let x be (-298)/(-8)*20/5. Let o = x + -100. Calculate the highest common divisor of d and o.
7
Let r = -15 - -5. Let i(c) = -c**2 - 10*c + 8. Let t be i(r). Suppose 0 = -0*a + a - 72. Calculate the greatest common divisor of t and a.
8
Let o(w) = 3*w**2 - w - 2. Let f(g) = g**2 - g - 4. Let h be f(3). Let l be o(h). Calculate the greatest common divisor of l and 8.
8
Let d be (-57)/3 - 3/(-1). Let x = d + 34. Calculate the greatest common factor of x and 18.
18
Let q = 22 - 10. Let b be (-23)/(-6) + 2/q. Suppose -4*l + 176 = -0. Calculate the greatest common factor of b and l.
4
Suppose 3*u - 4*u + 475 = 5*a, -285 = -3*a - 3*u. Suppose 3*k = z + 115, 2*z = 5*k - a - 95. Calculate the highest common factor of 20 and k.
20
Let n be -1 + 0/2 + 66. What is the greatest common divisor of 13 and n?
13
Suppose 0*s - 5*s + 5*v + 85 = 0, 81 = 5*s - 4*v. Suppose -3*d = -s - 35. Let t = d - 11. Calculate the highest common factor of 35 and t.
5
Let q(o) = -2*o**2 + o + 21. Let d be q(0). What is the greatest common divisor of 84 and d?
21
Suppose -5*u = -5*a - 430, 2*u = 3*u - 2*a - 90. What is the highest common factor of 205 and u?
41
Let p = -3 - -27. Calculate the greatest common factor of 12 and p.
12
Let w be 26/8 - (-2)/(-8). Suppose w*c + 31 = 4*t, 4*c - 4*t = -5*t - 73. Let g be (15 + -1)/((-2)/c). What is the greatest common divisor of g and 17?
17
Let d(u) = -u - 11. Let w be d(-5). Let k = 4 + w. Let l be ((-1)/(-2))/(k/(-72)). What is the highest common divisor of l and 144?
18
Let r(j) = 2*j**2 - j. Let z = 2 - 0. Let c be r(z). Calculate the highest common divisor of 4 and c.
2
Let y be 6*(1 - -2) - -3. Let f = -12 + y. Calculate the greatest common factor of 18 and f.
9
Let f be 5 - (1 - 3/3). Let x be (-1596)/(-20) - (-1)/f. Let h be 2*2 - (8 + -36). What is the greatest common factor of x and h?
16
Let i(u) be the second derivative of -u**5/20 + u**4 - 5*u**3/3 - 9*u**2/2 + 4*u. Let r be i(11). What is the greatest common divisor of r and 18?
2
Suppose 20 = 4*b - s - 0*s, 4*s + 20 = b. What is the greatest common divisor of 36 and b?
4
Let q(h) = -3*h + 5. Let b be q(4). Let y = -2 - b. What is the greatest common divisor of 45 and y?
5
Let g be (-58)/(-6) + (-4)/6. Let k = 8 + -5. Suppose 3*l = -4*y + 7, k*l - 3*y - 51 = -l. Calculate the highest common factor of g and l.
9
Suppose -26*a + 20 = -21*a. Calculate the greatest common factor of 28 and a.
4
Suppose -2 = 3*t - 32. What is the greatest common divisor of 15 and t?
5
Suppose 11*z - 154 = 9*z. Calculate the greatest common divisor of z and 7.
7
Let s(a) = a + 1. Let h be s(2). Let r be (0 - -3)*76/(-1). Let l be r/(-9) + 2/h. What is the highest common factor of 39 and l?
13
Suppose -5*x + 2*x + b + 627 = 0, 418 = 2*x - 3*b. Calculate the greatest common factor of x and 19.
19
Let t = 27 + -14. Let d = 25 - t. Suppose -v - v = -d. Calculate the greatest common factor of v and 30.
6
Suppose -13*b + 26 = -12*b. Calculate the greatest common factor of 13 and b.
13
Let a(q) = -q - 2. Let k be a(-3). Let s(x) = 23*x**3 - 2*x**2 + 2*x - 1. Let r be s(k). Let c be (1/2 + 0)*66. Calculate the highest common divisor of c and r.
11
Let t(w) = w**2 - 11*w + 13. Let l be t(11). Let p be 14/(-35) - (-1044)/10. Calculate the greatest common factor of p and l.
13
Suppose -3*m - 717 = 138. Let y be ((-4)/(-5))/((-3)/m). Suppose 4*j + 40 = 116. Calculate the highest common divisor of j and y.
19
Let t = 162 + -130. Let a be 10*(1 - 2/10). Calculate the highest common factor of a and t.
8
Let v = -108 - -158. Suppose -3*c + v = -1. Calculate the greatest common divisor of 136 and c.
17
Let k be (1 + 12)/((-1)/(-9)). Suppose -c = 2*c. Suppose -2*m - 4 + 30 = c. What is the greatest common factor of m and k?
13
Let b(j) = -23*j + 5. Let l be b(-3). Suppose 3*v + 326 = 2*d + 2*d, d + 3*v = l. What is the greatest common divisor of d and 10?
10
Let j(q) = q**2 - 5*q + 34. Let z be j(-10). Calculate the greatest common divisor of z and 46.
46
Let d be 1/(((-15)/(-9))/5). Let o(a) = -8*a - 1. Let f be o(-5). Suppose -d*m - 15 = -f. What is the greatest common factor of 56 and m?
8
Let b be -3 + 1 + 1 + 7. What is the greatest common factor of b and 3?
3
Let w be ((-4)/(-14))/1 + 2054/14. What is the greatest common divisor of w and 21?
21
Let f(r) = -r**3 + 2*r**2 - 5*r - 22. Let t be f(-3). Calculate the greatest common factor of t and 266.
38
Suppose -5*n = -d + 18, 5*d - 118 = -6*n + 3*n. What is the greatest common factor of d and 184?
23
Let h be ((-10)/(-5))/(2/(-7)). Let a = h - -17. Calculate the greatest common divisor of a and 2.
2
Suppose -3*k = 2*s - 241, 0 = 4*s - 6*s + 5*k + 217. Suppose 3*p - s = -0*p - 5*z, -3*p + 136 = -5*z. Calculate the highest common divisor of p and 28.
14
Let q(u) = u**3 + 6*u**2 + 7. Let v be q(-5). What is the greatest common divisor of 80 and v?
16
Suppose c + 3*l + 3 = 0, -3*c + 0*l + 2*l = -24. Let o be 20/c*(-18)/(-10). Calculate the greatest common factor of 6 and o.
6
Suppose 2*k - 5*k + z - 426 = 0, -3*z = -9. Let g = -6 - k. What is the highest common factor of 15 and g?
15
Suppose 2*w - 13 = -3. Let g be -1 + ((-2)/(-2) - -2). Suppose 5*d + 5*r = w, -g = -r - 4. Calculate the highest common factor of d and 2.
1
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