586 = -122*c + 127*c + 4*f, 2*f - 476 = -4*c. Calculate the remainder when 1585 is divided by c.
121
Let a = 186 - 185. Let d(j) = j**3 - 24*j**2 - 21*j - 16. Calculate the remainder when d(25) is divided by 6 + (-8)/a - -24.
18
Let g be 8/10*3*4240/159. Suppose 0 = -m + g - 27. Let x(r) = 23*r - 3. Calculate the remainder when m is divided by x(1).
17
Let a(p) = p**2 + p - 12. Let l be a(0). Let c be 1 - -3*8/l. What is the remainder when (18/(-15) - c)*-25 is divided by 2?
1
Suppose p = -2, 3*y - 7*y + 1238 = -p. Suppose -y - 56 = -5*t. What is the remainder when t is divided by 31?
11
Let u(v) = -v**3 - 21*v**2 - 18*v + 101. Calculate the remainder when 1398 is divided by u(-20).
56
Let a(j) = j**3 - 32*j**2 - 159*j - 113. Calculate the remainder when a(37) is divided by 23.
21
Let u(d) = -32*d - 109. Let s = 19 + -5. Calculate the remainder when u(-5) is divided by s.
9
Suppose 4*a - 28 + 8 = 0, -5*m = 5*a - 100. Suppose m*g = 275 + 115. What is the remainder when 153 is divided by g?
23
Let s(w) = w + 5. Let r be s(0). Suppose -r*o + 2*x = -85, 2*o - 4*x + 3*x - 34 = 0. Calculate the remainder when o is divided by (144/(-270))/(87/(-1305)).
1
Let h(b) = b**3 + 20*b**2 - 97. Let p be h(-19). Let k = 338 - p. Calculate the remainder when k is divided by 25.
24
Suppose 1788 = 2*p + 4*j, -5*j + 900 = 15*p - 14*p. Let v = p - 796. Let x(o) = o**3 + o**2 + 50. Calculate the remainder when v is divided by x(0).
44
Let p(g) = -3*g + 21. Let b(i) = i - 5. Let s(x) = 9*b(x) + 2*p(x). Let q be s(10). What is the remainder when 12/(-54) - (-519)/q is divided by 10?
9
Let z(i) = i**3 + 33*i**2 - 109*i - 390. What is the remainder when z(-35) is divided by 89?
85
Suppose 0*d - 2*d + 4*r - 168 = 0, 4*d - 2*r = -312. Let z = d + 118. Suppose -46*u = -z*u - 64. Calculate the remainder when 30 is divided by u.
14
Suppose 0 = 9*s - 4*s - 385. Let a = 84 - s. Let n(i) = 8*i + 11. Calculate the remainder when n(a) is divided by 23.
21
Let f(c) = c**2 - 14*c + 48. Let t be f(8). Suppose t = -w + 4*h, -4 = -13*h + 11*h. Suppose -l - 20 = -5*l. Calculate the remainder when w is divided by l.
3
Let j = -21 - -88. Let h = j - 28. Suppose 3 = -x, 4*g = -0*x + x + h. Calculate the remainder when 50 is divided by g.
5
Suppose -2 = 2*s - 2*k, -s - 44*k - 4 = -46*k. Suppose 16 = -h + s*n + 67, 46 = h - 3*n. Calculate the remainder when h is divided by 14.
5
Suppose 0 = 5*g + 5*o - 65, -2*o + 2 = -g + 2*o. Suppose 3*l + 3*a - 276 = 0, -256 = -43*l + 40*l + a. Calculate the remainder when l is divided by g.
7
Let b = -3877 + 3909. What is the remainder when 434 is divided by b?
18
Let b(t) be the first derivative of t**3/3 - 6*t**2 + 51*t + 19. Calculate the remainder when 96 is divided by b(12).
45
Suppose -105*q - 290 = -176*q + 917. Calculate the remainder when 15312 is divided by q.
12
Let t = -12667 - -14203. What is the remainder when t is divided by 761?
14
Let h(o) = 8*o**2 - 13*o + 31. Suppose 0 = -46*t + 39*t + 28. Calculate the remainder when h(t) is divided by 29.
20
Suppose 5*y + 5777 - 5872 = 0. Let u(r) be the third derivative of r**5/60 - 3*r**4/4 + 23*r**3/6 - 3*r**2. What is the remainder when u(y) is divided by 15?
12
Let m(s) be the second derivative of s**3/6 + 17*s**2/2 + 19*s. Calculate the remainder when 205 is divided by m(-3).
9
Let i(n) = 7 + n**3 - 13*n - 11*n**2 - 2 + 9. Suppose -3*p + 0*x - 2*x = -40, -5*x = -3*p + 26. What is the remainder when i(p) is divided by 1?
0
Let o = -15738 + 15748. What is the remainder when 74 is divided by o?
4
Let j(l) = -3*l - 22. Let w be j(-8). Suppose 0 = -w*d - 0*d - 30. Let z = d - -54. Calculate the remainder when z is divided by 15.
9
Suppose -23*k + 12 = -19*k. Suppose -k*n + 4*n + 171 = 2*a, n = 3*a - 258. Let g = 160 - a. What is the remainder when g is divided by 38?
35
Let w(h) = -8*h**2 + 34*h - 5. Let d be w(7). Let o = d - -210. Calculate the remainder when 659 is divided by o.
47
Let m = -14663 - -16308. What is the remainder when m is divided by 52?
33
Suppose -1809 - 578 = -11*k. Let b = k + -154. Calculate the remainder when b is divided by 19.
6
Suppose 2*g - 4 + 26 = 0. Let j(k) = k + 32. Calculate the remainder when (-2)/(-2) - (-55 + -3) is divided by j(g).
17
Let s = 24 + -10. Suppose 5*h + 2*h = -3*h + 370. What is the remainder when h is divided by s?
9
Suppose 0 = -65*t + 68*t - 6*r - 249, 4*t = -4*r + 368. What is the remainder when 354 is divided by t?
87
Let y(t) = -14*t**2 + 0*t**3 + 64*t - 47*t - 45 + t**3. What is the remainder when y(13) is divided by 7?
0
What is the remainder when 376 is divided by ((5/(-2))/5)/(2/(-76) - 0)?
15
What is the remainder when 5070/10 + 4/(5 + (-33)/6) is divided by 5?
4
Suppose 5450 = 15*q + 16*q - 3261. Calculate the remainder when 1397 is divided by q.
273
Suppose -32 = x - 3*x. Let g = -253 + 296. Calculate the remainder when g is divided by x.
11
Suppose -17*z + 9*z = -1360. Suppose -i + 5*j + 22 = -13, -4*i + z = -5*j. Suppose -6*p + 2*p = -96. What is the remainder when i is divided by p?
21
Let l(k) = -6*k**2 - 258*k - 507. Calculate the remainder when l(-38) is divided by 175.
108
Let g = 2 + 28. Let x(i) be the second derivative of -3*i**5/20 + i**4/4 - 5*i**3/6 - 2*i**2 - 110*i. Calculate the remainder when x(-3) is divided by g.
29
Let i(m) be the first derivative of -2*m**2 + 19*m - 32. Suppose k + 108 = 5*k. Calculate the remainder when k is divided by i(3).
6
What is the remainder when 389 is divided by 14/7*11/((-11)/(-2))?
1
Suppose p + 139 = -5*m, -p + 3*m - 213 = p. Calculate the remainder when 112 is divided by (p/(-4))/((-57)/(-76)).
36
Suppose 1495 = 6*x - 4830 + 7. Calculate the remainder when x is divided by 106.
99
Suppose -20 = -9*n + 4*n. Let z be 1*((-4 - -4) + -2) - -30. Calculate the remainder when 182 is divided by (-646)/(-14) - n/z.
44
Suppose 6*m + 4736 - 4808 = 0. Calculate the remainder when 3179 is divided by m.
11
Let v be (-2)/2*-2 - (1 + -2). Let g(b) = 6 + 16 + 9 - b - v. Calculate the remainder when 30 is divided by g(17).
8
Let r(w) = 9*w - 103. Let s be r(12). Let m(i) = -i**3 + 8*i**2 + 3. What is the remainder when m(s) is divided by 8?
6
Let g = 17703 + -13898. Calculate the remainder when g is divided by 22.
21
Let x = -330 - -312. What is the remainder when x/(-3)*(7 - -1)/4 is divided by 4?
0
Let y be (-10)/(-1) + -6 + -185. Let q = y + 194. Calculate the remainder when q is divided by 7.
6
Suppose 5*m - 4*p - 15 = p, -3*m - 12 = 4*p. Let s = 3 - m. Suppose -2*n + 5*r + 28 = r, -n - s*r = 1. What is the remainder when 69 is divided by n?
5
Let m = -2296 - -8958. What is the remainder when m is divided by 66?
62
What is the remainder when ((-1 - -1) + 1)*916 is divided by 7?
6
Let i(o) = -17*o - 1. Let z be i(3). What is the remainder when 102 is divided by (-13)/(z/168) - (7 + -6)?
20
Suppose o - 31 = 1417. Suppose -6*k + 1210 + o = 0. Suppose -64 = -5*q - i + k, 4*i + 497 = 5*q. Calculate the remainder when q is divided by 51.
50
Let f(d) = -6*d**3 - 10*d**2 - 15*d - 17. Calculate the remainder when f(-7) is divided by 21.
18
Let b(u) = -26*u**3 + 5*u**2 - 8*u + 1. Let p(c) = 14*c**3 - 2*c**2 + 3*c. Let f(l) = 2*b(l) + 5*p(l). Calculate the remainder when f(1) is divided by 7.
5
Let i(h) = -10*h**3 - 2*h - 8. Let u = 48 - 20. Suppose 32 = 3*k - u. What is the remainder when i(-2) is divided by k?
16
Let k(y) = -21*y**2 + 316*y + 56. What is the remainder when k(14) is divided by 174?
16
Calculate the remainder when 380 is divided by (11 + -20 + (-2)/(-1))/(2/(-106)).
9
Let i be (-227 - 5/(-5)) + -7. Let f = -204 - i. What is the remainder when 40 is divided by f?
11
Suppose -880 = -415*n + 399*n. Calculate the remainder when 330 is divided by n.
0
Let d(u) be the first derivative of u**4/4 + 7*u**3/3 - 5*u**2 - 28*u - 262. Suppose -4*z - 14 = 14. What is the remainder when d(z) is divided by 23?
19
Suppose -65*s + 60*s = 4*t - 1004, -t + 1220 = 6*s. What is the remainder when 578 is divided by s?
170
Suppose 5*g - 62 = 78. Suppose 2*i = 16 - 10. Calculate the remainder when 54 - -3 - i - (-2 - -2) is divided by g.
26
Let a(o) = -o**2 + o - 1. Let t be a(2). Let h(s) = -17*s + 2. Suppose 7*b + 3767 = 3893. What is the remainder when h(t) is divided by b?
17
Suppose -4*x - w = -189, 185 = 2*x 