0 = -4*n + 4*c, 2*c + 325 - 109 = 5*n. Let b = -753 - -717. Let l = b + n. What is the remainder when 22 is divided by l?
4
What is the remainder when 457 is divided by (-3)/(-3*24/(-18) - 4175/1040)?
41
Suppose 14*f - 21785 = 37*f - 64841. Calculate the remainder when f is divided by 33.
24
Suppose 2918 = 5*m - w + 5*w, -3*m - 4*w = -1754. Let y = 669 - m. Calculate the remainder when y is divided by 10.
7
Suppose 4*r = -3*u + 198, 2*r - 106 = -0*r - 5*u. Suppose 0 = -10*x + 7461 - 1781. Suppose -7*i + x = -3*i. Calculate the remainder when i is divided by r.
46
Let h = -3758 - -4482. What is the remainder when h is divided by 55?
9
Suppose 0*t - 4*t - 504 = 0. Let z = t - -216. Let v(a) = -28*a + 303. What is the remainder when z is divided by v(10)?
21
Suppose -4*u = -5*k - 3160, -4*u - k = 277 - 3461. Calculate the remainder when u is divided by 38.
35
Let n = 4556 + -3187. Calculate the remainder when n is divided by 68.
9
Let l(t) = -t**3 + 8*t + 3. Let x be l(0). Suppose -10*k + 8*k = i - 15, x = -3*i. What is the remainder when 269 is divided by k?
5
Suppose -6*f + d - 6*d + 466 = 0, d - 2 = 0. What is the remainder when 169 is divided by f?
17
Let y(a) = 28*a + 2041. What is the remainder when y(-67) is divided by 42?
39
Suppose 7*j = 14*j - 553. Suppose -17*v - 27*v = -176. What is the remainder when j is divided by v?
3
Let i = 10372 + -9723. What is the remainder when i is divided by 158?
17
Let s = 99 - 64. Let h be (-6)/((-30)/125) - 3. Let w = h + 81. What is the remainder when w is divided by s?
33
Suppose -333*o + 5 = -332*o. What is the remainder when 1688 is divided by o?
3
Suppose 14*u + 167 = 590 + 1131. Calculate the remainder when 412 is divided by u.
79
Suppose -3 = 3*x - 5*d, 4*x + 3*d + 28 = -5. Calculate the remainder when (x/9)/2 - 8568/(-27) is divided by 8.
5
Suppose -18*o - r = -2244, 12*o - 11*o - 107 = -3*r. Calculate the remainder when o is divided by 108.
17
Let y be 82/(-2)*-1*(0 - -1). Let l = 43 - y. Let n = -22 + 23. Calculate the remainder when l is divided by n.
0
Suppose r - 70 = -2*t, 6*r = 2*r - 4*t + 268. Suppose -3*a - 6 = -24. Let u(m) = m**2 - 14*m + 70. What is the remainder when r is divided by u(a)?
20
Let s be (-160)/128 + 158/(-8). What is the remainder when 132 is divided by 2*s/6*(-45)/21?
12
Suppose 0 = -3*v + v + 102. Let w(k) = -k**2 - 38*k - 95. Let b be w(-26). Let j = 243 - b. Calculate the remainder when v is divided by j.
25
Let n = 66 - 71. Let t(s) = 2*s**2 + 9*s - 2. Let y be t(n). Suppose y*x = -270 + 648. Calculate the remainder when x is divided by 26.
22
Let r(a) = 4*a + 48. Let s(u) = 22*u. What is the remainder when s(4) is divided by r(-5)?
4
Suppose 3*j + 4*u = -895, 139 = -3*j + 5*u - 774. Calculate the remainder when (186/(-217))/(2/j) is divided by 12.
9
Suppose -6*v = 4*p - 2*v - 60, -4*p - 11*v + 60 = 0. Calculate the remainder when (5313/42)/((-1)/(-2)) is divided by p.
13
Let i(y) = 14*y + 1026. Calculate the remainder when 104 is divided by i(-70).
12
Let b = -104 + 111. Let d(q) = -16*q + 16. Let s be d(-7). Suppose -s = -5*z + z. What is the remainder when z is divided by b?
4
What is the remainder when 2136 is divided by (289 - 320)/(1 + (-4)/2)?
28
Suppose 6*x + 157 = h + 2*x, -5*h - 2*x = -829. Suppose 5*c = 0, 13*a + h = 18*a - 3*c. Calculate the remainder when 63 is divided by a.
30
Suppose -2*c + 54 = -42. Suppose -4*b + 84 = 4*r, -2*r - 4*b + c = 16. What is the remainder when r is divided by 36/(-15)*(-4 + 6/4)?
2
Suppose 902*r = 1176*r - 2780004. What is the remainder when r is divided by 59?
57
Let h(g) = g**3 - 31*g**2 + 79*g - 603. What is the remainder when 1331 is divided by h(29)?
5
Let q(t) = -t**3 - 25*t**2 + 8*t - 503. Calculate the remainder when q(-29) is divided by 94.
91
Let o = -27 - -30. Suppose p - 6 = -o*r + 3*p, 4 = 2*r - 3*p. Let s = 25 - 11. What is the remainder when s is divided by r?
0
Suppose 0 = 3*o - 3*p - 29307, 0 = -10*o + 6*o + 3*p + 39077. Calculate the remainder when o is divided by 362.
358
Suppose -5*s = 2*b - 1940, -3*b = -4*s + 2125 - 596. What is the remainder when s is divided by 385?
1
Suppose -g = 2*g - 45. Let d be 8 + -13 + (6 + -3 - -37). Calculate the remainder when 86 + 14/d*-5 is divided by g.
9
Let v be (-394)/((-3)/15 + (-195)/(-225)). Let m = -571 - v. What is the remainder when (-21 - -2)*(1 - 5) is divided by m?
16
Suppose -15 = 3*j - 21. Suppose j*m - 297 + 89 = 0. What is the remainder when m is divided by 22?
16
Suppose -108*j + 111*j = 5*p + 1423, -3*p - 881 = 5*j. Let n = 300 + p. What is the remainder when n is divided by 12?
1
Suppose 43 = 10*d - 147. Suppose 0 = 20*o - d*o - 12. Calculate the remainder when 443 is divided by o.
11
Let a(g) = g**2 + 2*g. Let o(m) = -7*m - 19. Let s(y) = 6*a(y) + o(y). Calculate the remainder when s(6) is divided by 38.
37
Let b(a) = 372*a + 3359. Calculate the remainder when 60 is divided by b(-9).
5
Let g(k) = 2*k**2 - 81*k - 86. What is the remainder when g(44) is divided by 56?
54
Let o(g) = 52*g**3 + 6*g**2 - 48*g - 2. Calculate the remainder when o(4) is divided by 14.
10
Let i(a) be the first derivative of a**2 - 112 + 2*a**2 + 100 + 9*a. Calculate the remainder when i(9) is divided by 22.
19
Let f be 4/(-1 + (-9)/(-5)). Suppose f*k + 11 = u, -u - k + 17 = -6*u. What is the remainder when ((-36)/8 - u)*(-1 + -253) is divided by 8?
7
Suppose 20*m + 7*m + 81 = 0. Let q(p) = 2*p**2 - 5*p - 11. Suppose -4*l = -5*r - 369, 0*l = -l - 3*r + 71. What is the remainder when l is divided by q(m)?
20
Suppose 5*q - 73 = 2*b, 55*q = 58*q - 3*b - 51. Calculate the remainder when 5615 is divided by q.
12
Let a(t) = t**3 + 15*t**2 - t - 10. Let j be a(-15). Suppose -j*g - 177 = -582. Suppose 3*v = -2*v + 210. Calculate the remainder when g is divided by v.
39
Let f(a) = -a**3 + 27*a**2 + 6*a - 106. What is the remainder when 833 is divided by f(27)?
49
Suppose 0 = 5*f - 4*f - q - 332, -2*f - 5*q = -643. Let j = 25 + -14. What is the remainder when f is divided by j?
10
Let f(j) = -13*j + 85. Calculate the remainder when 2951 is divided by f(1).
71
Suppose 7*j = 2*j - 125. What is the remainder when 101 is divided by 18*4/((-120)/j)?
11
Let u = 3135 - 3055. What is the remainder when u is divided by 44?
36
Calculate the remainder when (-424)/((-30)/(-12) + -6*(-2)/(-4)) is divided by 49.
15
Let v be 1/(-4 + 0 - 60/(-16)). Let y be (792/(-45))/(v/30). Let t = y - 80. What is the remainder when t is divided by 23?
6
Suppose -b + 6*b + 45 = q, 5*q = -3*b + 113. Let g(h) = 4*h**2 + 26. Let s be g(8). Suppose -16*d + s = 74. Calculate the remainder when q is divided by d.
12
Let d(k) = 13*k**2 - 309*k - 4734. What is the remainder when d(-16) is divided by 6?
4
Let a = -34 - -35. What is the remainder when 131 is divided by -1*(105/a)/(-5) + 1?
21
Let f(y) = -28*y**2 - 2. Let a be f(2). Let g = 113 + a. Let x(o) = 162*o**2 - 8*o - 8. Calculate the remainder when x(g) is divided by 41.
39
Let k(g) = -2*g**2 + 104*g - 1296. What is the remainder when 759 is divided by k(24)?
39
Suppose 5*p + 113 - 16 = 3*v, 5*v = -4*p + 211. Calculate the remainder when 879 is divided by v.
21
Let n = 469 - 470. Let y(k) = -197*k - 4. What is the remainder when y(n) is divided by 49?
46
Let m = 259 + -257. Suppose -m*a + 5*a - 3*c = 333, 541 = 5*a + 2*c. Let p = 13 + 3. What is the remainder when a is divided by p?
13
Let z = 16873 - 16863. What is the remainder when 4187 is divided by z?
7
Calculate the remainder when (-6315)/(-842)*(320/6)/2 is divided by 151.
49
Let n be 0 + (-21)/(-2 - 5). Suppose 2 + 13 = 5*q. Suppose -3*o - 1 - 1 = -j, 0 = q*j + n*o - 42. What is the remainder when j is divided by 9?
2
Suppose -3*h = 5*k - 145, -48*h - 190 = -4*k - 43*h. What is the remainder when 1206/10 - (-6)/15 is divided by k?
16
Let g(u) = -u**3 - 4*u**2 + 25*u - 38. Calculate the remainder when 985 is divided by g(-8).
13
Let z = 343 - 148. Suppose g - 3*u - 12 = 0, -8*g = -9*g + 2*u + 10. Suppose g*s = s + z. Calculate the remainder when s is divided by 14.
11
Let y(m) = m**3 + 2*m**2 - m + 15. Let f be y(-4). Let p = f - -85. What is the remainder when p is divided by 7?
2
Suppose -4*i + 684 = 4*n, 2 + 8 = -2*n. What is the remainder when 1046 is divided by i?
166
Suppose 0 = 5*s + d - 92, -19*s