be the first derivative of 1/2*x**2 + 1 + 31/4*x**4 + 0*x + 0*x**3. Let a be v(1). Calculate the greatest common factor of 48 and a.
16
Let s be ((-5)/(-10))/((-2)/(-84)). Let n be (-96)/(-36)*6/8. Suppose 0 = 5*u - x - 16, -2*u + u - x = -n. Calculate the highest common factor of s and u.
3
Suppose d = -2 + 5. Let a(k) = -8*k**3 - 17*k**3 - k - 3 + 2 - 15*k**d. Let i be a(-1). What is the greatest common factor of 20 and i?
20
Let n = -2 - 6. Let s = 35 + n. Let f be 4 + -8 + s + 1. What is the highest common divisor of 168 and f?
24
Suppose 4*w - 31 = -19, 0 = 4*i + 2*w - 158. What is the highest common factor of i and 209?
19
Suppose w - 68 = -53. Calculate the greatest common divisor of 75 and w.
15
Let c(f) = f**2 + f - 1. Let g be c(2). Let n = 50 + -30. What is the highest common factor of g and n?
5
Let j be (4/(-1))/2 + -1. Let r be (-38)/(-10) + j/(-15). Suppose -6*b - 68 = -2*i - 2*b, -2*b = -r*i + 154. Calculate the highest common factor of i and 4.
4
Let y(p) be the third derivative of p**6/120 - p**5/4 - 7*p**4/12 - 10*p**3/3 - 15*p**2. Let u be y(16). Calculate the highest common factor of 84 and u.
12
Suppose -9 = 3*s, 3*s + 105 + 84 = 3*w. Let t be (5/(-2))/(1780/360 + -5). What is the highest common factor of w and t?
15
Let g be 9*4*5/90. Calculate the highest common divisor of g and 18.
2
Let z(v) = -v**3 - 15*v**2 + 5*v - 8. Let k be z(-16). What is the highest common divisor of 24 and k?
24
Let d be (22/(-8) + 2)*-4. Suppose 4 = -d*y - 2. Let j(b) = b**2 + 2*b + 2. Let q be j(y). What is the highest common divisor of q and 14?
2
Let g(v) be the second derivative of -2*v**3 - 13*v**2 + 3*v - 2. Let p be g(-5). What is the highest common factor of p and 374?
34
Suppose 0 = 69*n - 77*n + 96. What is the highest common divisor of n and 21?
3
Let m = 87 - -89. What is the highest common factor of m and 22?
22
Suppose 4*t + t - 250 = 0. Suppose -1646*v + 1645*v = -125. What is the greatest common factor of t and v?
25
Let q(j) = 16*j**2 - 64*j + 19. Let c be q(11). What is the greatest common divisor of c and 9?
9
Let z(i) = 14*i + 12. Let a be z(6). Suppose -91 - 65 = -13*k. What is the greatest common divisor of k and a?
12
Let g(h) = h**3 + 8*h**2 + h + 13. Let a be g(-8). What is the greatest common divisor of a and 1?
1
Suppose -d - 15 = -5*s, 15*d - 10*d = 5*s - 35. Suppose 184 = 3*n + 46. Calculate the greatest common divisor of n and s.
2
Suppose 4*z - 31 = -3*y, 8 = -4*z + 6*z. Suppose 2*d + 4*k = 2*k + 20, -5*d + k = -50. What is the highest common divisor of y and d?
5
Let b(v) = -v**2 + 36*v + 87. Let t be b(38). Calculate the greatest common factor of t and 99.
11
Let b(h) = -h**3 - 6*h**2 + h + 20. Let r be b(-6). Let w = -75 + 110. Calculate the highest common factor of w and r.
7
Let c(k) = k**3 + 15*k**2 - 16*k + 16. Let f be c(-16). Let y(t) = -16*t - 92. Let a be y(-7). Calculate the greatest common factor of f and a.
4
Let j be 1/(2*(-1)/(-10)). Suppose -j*u + 2*u = -120. Suppose -2*i + u = 2*s, 4*i + s - 3*s = 92. What is the greatest common factor of i and 2?
2
Let w be 12*(-3)/(-12) - -29. Calculate the highest common factor of w and 544.
32
Let m be 4 - (-2 + -1)*5. What is the highest common factor of m and 152?
19
Suppose g = -0*g + 12. Let c(j) = -3*j**3 + 2*j**2 - 1. Let k be c(-1). Suppose z - k = -1. Calculate the highest common factor of z and g.
3
Let d(m) = -3*m**2 - 3*m + 2. Let k be d(1). Let s(n) = 5*n**2 - 6*n + 4. Let a be s(k). Calculate the greatest common divisor of a and 27.
27
Let a = -46 + 71. Let j = 1325 + -1305. What is the highest common factor of a and j?
5
Let z be 13 - ((-4 - 5/(-5)) + 3). Calculate the highest common divisor of z and 65.
13
Let i = 16 + -5. Suppose -5*r - 38 = -p - i, -33 = -2*p + 3*r. What is the greatest common factor of 3 and p?
3
Suppose -k = -1 - 1. Let d(q) = -q**3 + 10*q**2 + 4*q - 25. Let g be d(10). Let r be ((-108)/g)/((-2)/5). What is the greatest common divisor of k and r?
2
Let v = 2188 - 1502. Calculate the highest common divisor of v and 196.
98
Suppose 5*g + 4*t - 195 = 0, 5*g - t - t - 195 = 0. Let r = g + -29. What is the greatest common factor of r and 70?
10
Let a = -198 - 37. Let o = 359 + a. Let w(n) = -n**2 - 16*n + 31. Let g be w(-16). Calculate the greatest common divisor of o and g.
31
Let r be 3 + (-108)/(-1) + -1. Let o(l) = -l - 16. Let z be o(-5). Let c be (-658)/z - (-20)/r. What is the highest common factor of 24 and c?
12
Let h(a) = a**2 + 4*a - 3. Suppose 12 = 5*z - 3*z. Let p be h(z). What is the highest common factor of p and 19?
19
Suppose 3*y - s - 5479 = 0, 15*y - 5*s - 9135 = 10*y. What is the greatest common factor of y and 22?
22
Suppose -3*i + 11 + 37 = 0. Calculate the highest common factor of 416 and i.
16
Let h be ((-3)/(-12))/((-5)/(-2740)) - -3. Suppose -n + 4*k + 242 = 0, -5*k - 100 = -n + h. Calculate the greatest common divisor of n and 25.
25
Suppose -179 + 329 = 25*l. Calculate the highest common factor of l and 402.
6
Suppose u - 153 = 29. Calculate the highest common factor of u and 273.
91
Let b = -1275 - -1770. What is the greatest common factor of b and 270?
45
Let n(j) = 2*j**2 + 2*j - 1. Let a be n(-3). Let w be (1 - 0)*(a - 9). Suppose -w*x + 3 = 1. Calculate the highest common divisor of x and 1.
1
Suppose 3*t = 1 + 8. Let i(s) = 2*s - 5. Let v be i(4). Let f be (18 + 0)/(v - 1). What is the greatest common divisor of f and t?
3
Let i(p) = 41*p + 200. Let o be i(-4). Calculate the greatest common divisor of 816 and o.
12
Let o be 2*(-194)/(-16) + (-120)/(-160). What is the highest common divisor of 10 and o?
5
Suppose n + 4 = 6. Suppose 5*y = -4*a + n*y + 209, -3*a + 143 = 5*y. What is the greatest common divisor of a and 8?
8
Let c(a) = a - 1. Let h be c(2). Let l be 6/9*(28 - h). Let s be (5 - -1)*-24*20/(-16). What is the greatest common factor of l and s?
18
Let h be (-10)/(1/(-4)*-1). Let d = 29 - 55. Let v = d - h. What is the highest common factor of v and 28?
14
Suppose 0 = 5*z - 115 - 130. Suppose -40*v + 36*v + 28 = 0. What is the greatest common divisor of z and v?
7
Let z be (-11 + 1)/((-23)/((-19780)/(-8))). What is the greatest common factor of z and 43?
43
Let d be 23 + (40/12)/(-5)*3. What is the highest common factor of 14 and d?
7
Let z = -1252 + 2116. What is the highest common factor of z and 54?
54
Let n be 35*(36/(-30))/(-2). Let k be (-2)/9 - 55/(-45). Let q be 0 - 0/k - -231. What is the greatest common divisor of q and n?
21
Suppose 8*h + 204 = -84. Let x be (0 - h/10)*40/16. What is the greatest common divisor of x and 81?
9
Let q be 5/(20/24) - -4. Let n be 2 + (-14)/q + 9144/60. What is the greatest common divisor of 17 and n?
17
Let b = 777 + -315. Let o = -327 + b. What is the greatest common divisor of o and 15?
15
Let l(f) = 6*f - 2. Let h be l(1). Suppose x = -h*o - 10 + 128, 5*o - 494 = -4*x. What is the greatest common divisor of x and 14?
14
Let m = -259 - -329. What is the highest common factor of m and 630?
70
Let c be (-2 - 392*3/(-18)) + (-4)/(-6). Let j = -17 - -65. What is the highest common divisor of j and c?
16
Suppose 0 = 2*g + 2, 73*t + 3*g + 689 = 75*t. Calculate the greatest common factor of t and 98.
49
Suppose 0 = -y + 2 - 0. Let c be 3 + 164/(-6 + y). Let j = -8 - c. What is the highest common divisor of j and 6?
6
Let x be 177 + 2 + -2*(-2)/4. Calculate the greatest common divisor of 45 and x.
45
Suppose 17 = -12*j + 77. Suppose 5*n = -5*w - 0*w + 175, -j*w = n - 175. Calculate the greatest common divisor of w and 14.
7
Suppose -264 = -332*m + 321*m. Calculate the greatest common factor of 984 and m.
24
Suppose -134*k = -143*k + 1404. What is the highest common factor of 507 and k?
39
Suppose 11*u + 139 - 392 = 0. Let z = 117 + u. Calculate the greatest common divisor of z and 20.
20
Suppose 5*n = -0*n - 5*b + 90, 2*b + 44 = 3*n. What is the greatest common divisor of 152 and n?
8
Suppose 0 = -6*r - 0*r - 1218. Let i = r - -343. What is the highest common divisor of 56 and i?
28
Let l(b) = b**2 - 10*b - 22. Let n be l(-3). Let d = 8 - 3. Suppose -d*f = a - 141, f - 412 = -3*a - 3*f. Calculate the greatest common divisor of a and n.
17
Let u = 2098 - 1477. What is the highest common divisor of 27 and u?
27
Let k(c) = -c**2 - 9*c. Let o be k(-8