5.
7
Let g(i) = i**3 + 12*i**2 - 15*i - 28. Let d be g(-12). What is the highest common divisor of d and 38?
38
Suppose -5*r + 5878 + 897 = 0. Suppose -8*f = -13*f + r. Suppose 4*t = 711 - f. Calculate the greatest common factor of t and 22.
22
Let h = 272 + -130. Let i = h - -53. What is the greatest common divisor of i and 78?
39
Suppose 216 - 76 = -5*d. Let u = d + 16. Let t be -3 + 11/((-11)/u). Calculate the highest common divisor of t and 3.
3
Let l(n) = 2*n**3 - 5*n**2 + 2*n + 2. Let s be l(3). Suppose 0 = s*j - 22*j + 30. What is the highest common divisor of j and 42?
6
Let a(x) = x**2 + 1 + 0 + 5*x + 4 + 5*x. Let k be a(-10). Let w = k + 6. Calculate the greatest common factor of w and 22.
11
Let r(f) = 12*f**2 + 3*f + 3. Let o be r(-2). Suppose 4*g = -i + 16, 4*g = -11*i + 8*i + 8. What is the greatest common divisor of g and o?
5
Let j = -5 - -3. Let g(a) = a + 2. Let w be g(j). Let f = 6 + w. Calculate the highest common divisor of f and 48.
6
Suppose -12*w = 14*w - 22100. Calculate the highest common divisor of 17 and w.
17
Let m(r) = -r**2 + 17*r - 36. Let x be m(13). What is the highest common factor of x and 752?
16
Suppose -z + 75 = 5*d, -5*d + 145 = -53*z + 55*z. What is the highest common factor of z and 15?
5
Let c = 804 + -750. What is the greatest common divisor of 297 and c?
27
Let d(j) = -j**2 + 6. Let l be d(0). Suppose l*x + 0*x = 132. Calculate the greatest common divisor of 11 and x.
11
Let u = 697 - 682. What is the greatest common divisor of u and 70?
5
Let a = -24 - -34. Suppose w = -4, -w = -q + 5*q - 360. Let p = q + -11. Calculate the greatest common divisor of p and a.
10
Suppose p - 3*i + 2 = 20, i - 10 = -p. What is the highest common divisor of 588 and p?
12
Let v(j) = -8*j - 7. Let x be v(7). Let i be (36/(-16))/(x/(-24) - 3). Calculate the highest common factor of 42 and i.
6
Let y be (-6)/(-4)*(-340)/(-3). Suppose 3*a = y + 40. Suppose 14 = 5*w + 2*q - 124, 5*w - 141 = q. Calculate the greatest common divisor of w and a.
14
Let m be (31/2)/(11/110) + -1. Suppose 0*z = -z - 7. Let c = 7 - z. Calculate the greatest common factor of c and m.
14
Let d be (65/10 - 1/2) + 596. Calculate the greatest common factor of 70 and d.
14
Let w(c) = 41*c**2 - 36*c + 13. Let q be w(9). What is the greatest common factor of 35 and q?
35
Suppose 74*f - 492 - 1284 = 0. Suppose -5*t + l + 26 = -0, 3*t + 3*l - 30 = 0. Suppose -t*y + y = -80. What is the greatest common factor of f and y?
8
Suppose 0 = -2*c - u + 19, -2*c = c - 4*u - 12. What is the highest common factor of 640 and c?
8
Let j(v) = v - 3. Let t be j(-7). Let l(x) = -12*x - 5. Let m be l(t). Calculate the highest common factor of 46 and m.
23
Let w be (2 - -1)/((-5)/(-75)). What is the highest common factor of 18 and w?
9
Let z(d) = d - d**2 - 2*d**2 + 2*d**2 + 5 + 11. Let c be z(0). What is the greatest common factor of c and 2?
2
Suppose -42 = -4*g + 2*g. Let l be (-4)/32 - ((-2331)/24 - 0). Let r = -55 + l. What is the highest common factor of r and g?
21
Let w(p) = -3*p**3 + 152*p**2 + 48*p + 223. Let s be w(51). What is the highest common divisor of s and 160?
10
Let k be (0/(-8))/(1 - 0). Suppose k*d = -d + 12. Let i = d + 2. What is the highest common factor of i and 7?
7
Let r = 20 + -3. Let n be (612/(-7))/(2/(-14)). Suppose 6*v - 10*v = -n. What is the highest common factor of v and r?
17
Let u(a) = -6*a + 10. Let q be u(5). Let g be (-85)/q*10 - 1/2. Calculate the greatest common divisor of 6 and g.
6
Let d(t) = -t**2 - 34*t + 14. Let z be d(-28). What is the highest common factor of 4 and z?
2
Let g(p) = p**2 - 11*p + 1. Let c be g(11). Let r be 302 + (c - 0) + 3. What is the highest common divisor of 34 and r?
34
Suppose -12*k = -14919 + 2859. What is the greatest common divisor of k and 15?
15
Let v(o) = -2*o + 14. Let s(n) = 3*n - 13. Let d(p) = 7*s(p) + 6*v(p). Let j be d(2). Suppose 44 = 4*l - 0. What is the highest common divisor of j and l?
11
Let s be 66 + -52 - (-44 - 0). Let f(q) = -144*q + 1. Let n be f(-1). Calculate the highest common divisor of n and s.
29
Let z = -498 - -519. What is the highest common divisor of z and 21?
21
Suppose -5*k = -14 - 21. Let b(r) = 2*r - 4. Let w be b(k). Suppose -2*j + 28 - w = 0. Calculate the highest common factor of j and 45.
9
Let x be 294 + (-5 - (-6 + -6))/(-1). Calculate the greatest common divisor of 14 and x.
7
Suppose -a + 6*a = -20, -5*a = -3*p + 230. Let l = p + -49. Let v = l + -20. Calculate the greatest common factor of v and 3.
1
Let n(a) = a**2 + 3*a + 4. Let u be n(-4). Suppose 4*r + 5*d - 519 = 0, -4*r - d = -15 - 492. Let h = -54 + r. Calculate the greatest common factor of h and u.
8
Suppose -60 = -3*m - 5*r - 62, 1 = 2*m + r. Suppose -5*y + 4*y + 2 = -g, -4*g + 10 = 5*y. What is the greatest common factor of m and y?
1
Suppose -18*j = -5*j - 3146. What is the highest common factor of 11 and j?
11
Suppose 5*s - 4*u - 98 = 0, 6*s + 70 = 10*s + u. Let k(v) = v**2. Let a be k(-9). What is the greatest common factor of a and s?
9
Suppose 0 = 195*t - 129*t - 10230. What is the highest common divisor of t and 31?
31
Let j be (1 + -2 + 2)*47. Let r = -24 + j. What is the greatest common divisor of 253 and r?
23
Let y be (-4)/(-3*(-1)/(-123)). Suppose -2*n + 77 + 89 = 3*w, -2*n - 4*w = -y. Let d = 151 - n. What is the greatest common factor of 26 and d?
13
Let o(s) = 2*s + 3*s - 3*s + 16 + 0*s. Let g be o(-6). Let j be ((-6)/g)/((-2)/32). What is the greatest common factor of j and 3?
3
Let r = 56 - -28. Let z be (3976/1562)/((-2)/(-11)). Calculate the highest common factor of z and r.
14
Let i(k) be the third derivative of k**5/15 - k**4/4 + k**3 - 4*k**2. Let y be i(3). What is the greatest common factor of 216 and y?
24
Let p be (2 + -2)/((-16)/4). Let b be (-2)/9 - 76/(-18). Suppose -2*u + 64 = -p*l + b*l, u + 66 = 5*l. What is the highest common divisor of 35 and l?
7
Suppose -15 = n - 4*n. Let d = 12 - n. Calculate the highest common divisor of d and 63.
7
Let h(c) be the first derivative of c**3/3 + 5*c**2/2 + 11*c + 3. Let m = 28 - 39. Let j be h(m). Calculate the greatest common divisor of j and 11.
11
Let t be (-2 + 1)*-3 + 2. Suppose 82*c - 50 = 77*c. What is the greatest common divisor of c and t?
5
Let w be (-8*144/27)/(2/(-3)). What is the greatest common factor of 56 and w?
8
Let c(l) = 4*l**2 - 86*l + 515. Let w be c(6). What is the greatest common factor of 65 and w?
13
Suppose -3*h + 3*t = -0*t - 120, 5*t = 2*h - 74. Let k = -65 - -102. Let q = 142 - k. Calculate the highest common divisor of q and h.
21
Suppose -j + 7 - 3 = 0. Suppose -2*g - 24 = -3*y, -2*y + 14 = -99*g + 97*g. Calculate the greatest common divisor of j and y.
2
Suppose 0 = -5*p + 25*i - 22*i + 2172, -3*i + 420 = p. What is the highest common factor of 112 and p?
16
Let k(w) be the second derivative of -23*w**4/12 + w**3/3 - 3*w**2/2 - 10*w. Let s be k(1). Let g = 29 + s. What is the highest common divisor of 10 and g?
5
Suppose 0 = -6*w - 30*w + 3888. Calculate the highest common factor of 297 and w.
27
Suppose -120 = -137*n + 134*n + 2*i, 5*n - 198 = 4*i. Calculate the highest common divisor of n and 1120.
14
Suppose -5*m = -4*o + 90, -45*o + 50*o = 5*m + 110. What is the greatest common divisor of 430 and o?
10
Suppose 6*w = -7*w + 1092. Calculate the highest common divisor of w and 48.
12
Suppose 0 = 2*y - y - 30. Let c = -2010 + 2100. What is the highest common factor of y and c?
30
Let n(r) = 32*r**3. Suppose 144 = 5*l - 5*m - 36, -l = 5*m - 30. Let x be (-10)/(-14) - (-10)/l. Let d be n(x). What is the greatest common divisor of d and 8?
8
Suppose 0 = 4*r + 2*x - 158, 1 = x + 2. Suppose 0 = -71*f + 73*f - 240. Calculate the highest common divisor of r and f.
40
Let v be (-20)/25*(-6 + 1). Let g = 12 - v. Suppose -3*r - r - s = -32, -4*s - g = -r. What is the greatest common divisor of r and 12?
4
Let d = 88 - 83. Suppose 1298 = d*q + 128. Calculate the greatest common factor of 26 and q.
26
Let k(n) = -n**3 + 12*n**2 + 7*n + 40. Let x be k(11). What is the greatest common factor of x and 14?
14
Let f(o) = o**3 - o**2 + o + 24. Let t be f(0). Let z = 36967 + -36811. What is the greatest common divisor of z and t?
12
Suppose 22*l - 800 = 17*l. Calculate the greatest common factor of l and 128.
3