e the remainder when s(-9) is divided by 110.
100
Let c = 7 - 2. Suppose -v = -c*v + 20. Suppose 4*s + 2*u - 70 = 0, -89 = -5*s + 3*u - 7*u. Calculate the remainder when s is divided by v.
2
Let z(w) = w - 2. Calculate the remainder when 73 is divided by z(17).
13
Suppose -3*b - 2*k = -470, -b - 5*k = -4*b + 505. Calculate the remainder when b is divided by 55.
50
Let n = -22 + 126. Let g = 158 - n. Calculate the remainder when g is divided by 14.
12
Let z(i) = i**3 + 3*i**2 - i - 4. Let h be z(-2). Suppose h*c + 1 = -j, 3*j - j + 8 = -c. Calculate the remainder when c is divided by 2.
0
Let g(d) = d**3 + 14*d**2 + 13*d + 1. Let z be g(-13). Suppose 2*q = -6 - 4, 3*o = 2*q + 22. Calculate the remainder when (16/(-40))/(z/(-35)) is divided by o.
2
Let w(z) = z + 1. Let b(v) = -v**2 - 12*v + 28. Let t(o) = -b(o) - 6*w(o). Calculate the remainder when t(7) is divided by 30.
27
Let a(w) = w**2 - 3*w - 7. Suppose -5*k = 3*r - 324, 5*k = -5*r + 47 + 283. Calculate the remainder when k is divided by a(6).
8
Suppose -4*y - 10*s + 13*s = -49, 5*y + 4*s = 38. What is the remainder when 66 is divided by y?
6
Let t(n) = n**3 + 4*n**2 - 8*n + 10. Let s be t(-7). Let x = s + 178. Calculate the remainder when x is divided by 26.
19
Let x(n) = n**3 - n**2 + n + 17. Let s = 14 - 14. Calculate the remainder when 65 is divided by x(s).
14
Calculate the remainder when 129 is divided by 9*(-1 - 0)*(-98 - -93).
39
Suppose 2*s + 3*r - r = 14, -5*s + 31 = 3*r. Let c = s + 6. Calculate the remainder when c is divided by 8.
3
Let u = -799 - -813. Suppose 0 = w - 11 + 2. What is the remainder when u is divided by w?
5
Suppose -2*f + v + 59 + 115 = 0, -5*f = v - 428. Suppose j - 65 = -3*l + 2*j, -5*l - j + 111 = 0. What is the remainder when f is divided by l?
20
Let o(c) = -c**3 - 13*c**2 + 269*c - 3. Let h = -1 - -2. What is the remainder when o(11) is divided by (-9 + 2)/(h/(-2))?
10
Let l = 16 + -24. Let u(v) = v**2 + 11*v + 19. Let i be u(-10). Let x = i - l. What is the remainder when x is divided by 5?
2
Let c = -5 + 7. Let b = c - -4. Suppose 2*w = -5*n - 0*w + 55, -n + 2*w = -11. Calculate the remainder when n is divided by b.
5
Let c(u) = -u**2 + u + 9. Let o be c(0). Let z = o - -3. Let s(r) = r**3 - 11*r**2 - 10*r - 14. What is the remainder when 79 is divided by s(z)?
9
Suppose -2*f - 5*z + 2334 = 2*f, 4*f - z = 2346. Calculate the remainder when f is divided by 49.
47
Let j = -13 + -54. Suppose k + 9 = -2*k, 4*o = 3*k + 273. What is the remainder when o is divided by 10/15 - j/3?
20
Let b = 20 - 2. Suppose 3*o = 18 + b. What is the remainder when 18/o*(-68)/(-3) is divided by 12?
10
Let t(a) = -7*a**3 + a**2 + 2*a + 1. Let i be t(-1). Let q = i - 9. What is the remainder when 2/(-4)*(q + -74) is divided by 20?
18
Let n be ((-20)/14 - -2)*7. Suppose -3*u - n*v + 9 = 0, 2*v - 3 = -u + 3*v. Calculate the remainder when 7 is divided by u.
1
Let t = -72 + 81. What is the remainder when 48 is divided by t?
3
Suppose 60 = -76*u + 80*u. Let d = u - 1. Calculate the remainder when 53 is divided by d.
11
Let k be 4*((-25)/(-10))/(-5). What is the remainder when (0 - k)*39 + 53 + -52 is divided by 25*(-1 - (-9)/5)?
19
Suppose 154 = z + 144. What is the remainder when 38 is divided by z?
8
Let f = 0 - -4. Let h(p) = 2*p + 11. Let v be h(-5). What is the remainder when v*-11*(-2 - -1) is divided by f?
3
Let p(n) = 36*n - 60. Let j be p(11). Suppose j = -4*g + 12*g. What is the remainder when 124 is divided by g?
40
Let p = -26 - -31. Suppose -h - 3*h - 5*w + 75 = 0, w = 2*h - 41. Let n = h - 16. Calculate the remainder when p is divided by n.
1
Suppose 0 = -7*k + 5*k + 34. Calculate the remainder when 133 is divided by k.
14
Suppose -2*j + 4*v = -98, -3*j - 3*v = -8*j + 217. Suppose 11*y - 114 = -367. Let b = y + j. Calculate the remainder when 35 is divided by b.
17
Let w = 29 - 21. Let f(v) = -v**3 - 7*v**2 + 4*v - 3. Suppose -3*y - 24 = -a, 2*y - 5 = -2*a - 21. Calculate the remainder when f(y) is divided by w.
5
Let d(g) = -g + 5. Let u be d(-7). Let p be (u/18)/(1/12). Let t = p - -4. Calculate the remainder when t is divided by 5.
2
Let t(z) = 8*z**2 + 3*z + 7. Calculate the remainder when 326 is divided by t(-3).
46
Let p(d) = -d**3 - 2*d**2 - 4*d + 32. Calculate the remainder when 114 is divided by p(0).
18
Suppose -7*q = -11*q + 112. Calculate the remainder when 221 is divided by q.
25
Let q be (-4)/(-6)*(-11 - -14). Suppose -3*g + 2*g - 19 = -t, 0 = -q*t - g + 50. What is the remainder when 65 is divided by t?
19
Let j(i) be the first derivative of i**4 + 2*i**3 - i**2/2 - 2. What is the remainder when j(3) is divided by 40?
39
Suppose 3 = -3*h - 12, 0 = 2*a - 3*h - 119. Suppose 26 = 4*m - 5*l, -7*l + 55 = 5*m - 2*l. What is the remainder when a is divided by m?
7
Let j(l) = 3*l - 23. Let s be j(9). Suppose 2*d - 34 = -0*d + s*m, 0 = -4*d - 4*m + 8. Calculate the remainder when 82 is divided by d.
5
Let q = -30 - -44. Let d = -14574 + 14753. What is the remainder when d is divided by q?
11
Let k be (-2*(1 + 2))/(6/(-6)). Suppose -4*j + 3*j + k = 5*i, -j - 2*i = -12. What is the remainder when 77 is divided by j?
13
Let y(b) = -b**2 + 25. What is the remainder when y(0) is divided by ((-11)/22)/((-1)/24) - -2?
11
Suppose -18 = -12*v + 11*v - 2*u, 5*v - 50 = -2*u. What is the remainder when 19 is divided by v?
3
Let l be (10/(-6))/(7/6 - 1). Calculate the remainder when 2 is divided by 12/8 + (-5)/l.
0
Let r be 18/6 + 2*3. Let s(t) = -t**3 + 14*t**2 - 11*t + 9. Let b be s(r). Suppose 4*l - d = b, l + d = 20 + 60. What is the remainder when l is divided by 20?
19
Suppose -5*g + 0 = p + 6, -p - 4 = 4*g. Suppose -3*q + 5*r = -2*q - 11, -3*q + 4*r + 11 = 0. Let x = 14 - q. Calculate the remainder when x is divided by p.
1
Let c = 5357 + -3094. What is the remainder when c is divided by 103?
100
Suppose -4*g = 3*g - 35. Suppose 4*i - 4 - 26 = -f, 0 = -f - 5*i + 33. Suppose a - g = f. Calculate the remainder when 44 is divided by a.
21
Let r(y) = -7*y - 243. Calculate the remainder when 183 is divided by r(-40).
35
Let u be 40/4*3/(-2). Let g = u - -15. Suppose g = -r - r + 38. Calculate the remainder when 53 is divided by r.
15
Let g(p) be the second derivative of 1/2*p**3 + 0 - 3/10*p**5 + 0*p**4 + 2*p + p**2. What is the remainder when g(-2) is divided by 15?
14
Suppose -813 = -68*a + 343. Suppose -56 - 9 = -w - s, 3*w - 195 = -5*s. Calculate the remainder when w is divided by a.
14
Suppose 0 = 4*k - 5*k + 12. Suppose -4*j = -k, -5*j = 4*b - 17 - 54. What is the remainder when 24 is divided by b?
10
Let j(h) = h**2 + 5*h + 3. Let m be j(-5). Let k = -3229 - -3264. Calculate the remainder when k is divided by (19 - 1)/(m/2).
11
Let w be (-2 - (-1 - 0))*-4. Suppose -w*i = 12, 0 = 2*u - 3*u - 4*i - 29. Let a = -4 - u. Calculate the remainder when 35 is divided by a.
9
Let n(w) = -w**2 - 8*w + 6. Let p be n(-8). Suppose p*a = a. What is the remainder when 3/(-6)*a + 17 is divided by 5?
2
Let x(s) = 55 - 92 - 4*s**2 + 3*s**2 + 16*s + 4*s. Calculate the remainder when 148 is divided by x(15).
34
Let w = 11 - 7. Suppose 5*v - w*v + 4 = 0. Let i = 23 + v. Calculate the remainder when 35 is divided by i.
16
Suppose -2*r - 11*r + 2977 = 0. What is the remainder when r is divided by 26?
21
Suppose 0*v = 9*v - 360. Suppose -h - 3*y + v = 0, 4*h + 5*y + 25 = 6*h. What is the remainder when h is divided by ((-12)/(-10))/((-3)/(-10))?
1
Let k(x) = -x**2 - 5*x + 6. Let h be k(-8). Calculate the remainder when 31 is divided by 24/(-9)*h/12.
3
Let o = 1 + 2. Suppose -4 = -3*i - 4. Let g = i + 12. Calculate the remainder when g is divided by o.
0
Let u(m) = -2*m**2 - 34*m - 7. Let v(z) = z**2 + 2*z + 4. What is the remainder when u(-16) is divided by v(-3)?
4
Suppose 0 = -2*c + 2*v + 308, 9*c - 2*v = 4*c + 761. Calculate the remainder when c is divided by 14.
11
Let i(o) = o**2 - 7*o - 5. Let f = 4 - 9. What is the remainder when i(f) is divided by 19?
17
Let n(w) = -6*w - 4. Let t be n(-1). Let q(c) be the third derivative of c**6/60 - c**3/6 + c**2. What is the remainder when 44 is divided by q(t)?
14
Let p(x) = -10*x - 67. Calculate the remainder when 200 is divided by p(-7).
2
Let u be (-70)/(-30) - (-1)/(-3). Let w(k) = 4*k. Suppose -3*v - j + 11 = 0, 2 = 3*j - 4. Calculate