y r.
56
Suppose -7*v = -3*v - 1548. Suppose -36 = -4*x + 4*u, -8*x + 32 = -4*x - 2*u. Suppose -x*r = -16*r + v. What is the remainder when 126 is divided by r?
40
Suppose -844 = -3*i - 4*d, -3*d + 8*d = 2*i - 555. Calculate the remainder when i is divided by 28.
0
Suppose 0 = 4*t - 28*v + 31*v - 65327, 0 = -4*t - 4*v + 65320. What is the remainder when t is divided by 20?
17
Let z = 43 + -31. Let w be ((-40)/z)/(0 + 2/33). Let n = w + 64. Calculate the remainder when 24 is divided by n.
6
Suppose 5*k + 18*c - 23*c = 715, -5*k + 742 = 4*c. What is the remainder when 487 is divided by k?
49
Suppose 2*o - 117 + 3 = -2*c, 4*c + 5*o = 233. Let j = -1820 + 1903. What is the remainder when j is divided by c?
31
Suppose -26*b + 9*b + 11983 = -12208. Calculate the remainder when b is divided by 288.
271
Suppose 102*u = 4*a + 98*u - 56, 40 = -a - 5*u. Calculate the remainder when 1096 is divided by a.
1
Let y(w) = -w + 20. Let f be y(6). Suppose f*b - 1791 = 15. Let l(c) = c**2 - c + 33. What is the remainder when b is divided by l(0)?
30
Suppose -5*l - 233 = -5*j + 127, 148 = 2*j + 2*l. Suppose -16 + 216 = -4*x. Let q = -35 - x. Calculate the remainder when j is divided by q.
13
Let u = -11792 - -13955. Calculate the remainder when u is divided by 241.
235
Let a = -1299 + 2403. Calculate the remainder when a is divided by 365.
9
Suppose -5*w = 2*b + 25, -10*w + 9*w - 51 = 5*b. What is the remainder when 381 is divided by ((-8)/b)/((-10)/(-300))?
21
Suppose 5*t - 220 = 10*t. Let i = 897 - 881. Calculate the remainder when 3/9*-3 - t is divided by i.
11
Let m = -8456 + 11358. What is the remainder when m is divided by 12?
10
Suppose -9*g + 5814 = -2844. Suppose 1085 - g = m. What is the remainder when m is divided by 34?
21
Suppose -481*z + 482*z = 5*f - 180, 0 = 4*f - 3*z - 144. What is the remainder when 81 is divided by f?
9
Let h = 54 - 49. Suppose -h*s - 2*s + 77 = 0. Let n = 2 + s. Calculate the remainder when n is divided by 5.
3
Let n = -2215 + 2879. Calculate the remainder when n is divided by 12/((-18)/(-3)) - -5.
6
Let m(l) = 7*l - 29. Let k be m(5). Let t be k/(-9)*-3 - -1. Suppose 62 = t*w + 2*p, -p = 4*w - 7*w + 77. Calculate the remainder when 59 is divided by w.
11
Let y = -3420 + 3441. What is the remainder when 1656 is divided by y?
18
Let r(c) = 22*c + 17. Suppose 3*g = -5*y + 909, 2*y - 5*g = y + 165. What is the remainder when y is divided by r(2)?
58
Suppose 4 = 4*p - 4*x, 1 = p - 4*x + 3. Suppose 5*y - 21 = -3*j + p*j, 5*j = 2*y + 159. Calculate the remainder when 78 is divided by j.
16
Let q(t) = -7 - t**2 - 9 - 11*t - 1 + 41*t. Let s be q(20). Suppose 238 + 18 = 4*j - 2*c, 3*j + 3*c - s = 0. Calculate the remainder when j is divided by 16.
15
Suppose -3*w = 2*i - 29, 2*w + i - 10 = 9. Let c(o) = 3*o**2 - 17*o - 23. Calculate the remainder when 184 is divided by c(w).
50
Suppose -145 = -7*i + 2*i. Suppose -921*p + 16458 = -895*p. Calculate the remainder when p is divided by i.
24
Let q = 3691 - 3639. Calculate the remainder when q is divided by 4.
0
Suppose 3*n - 28 = p, 4*n + 3*p - 5 - 28 = 0. Suppose -c = -5*y - 40, -4*c + 112 = -n*y + 5*y. What is the remainder when 46 is divided by c?
21
Let l(i) = i**3 + 14*i**2 - 23*i + 8. Let d be l(-16). Let n = d - -241. Calculate the remainder when n is divided by 10.
5
Let n(f) = -f**3 - 44*f**2 - 89*f - 162. Suppose -5*a + 740 = -2*u, 5*a - 2*a + 4*u - 444 = 0. What is the remainder when a is divided by n(-42)?
4
Calculate the remainder when 12956 is divided by (2772/(-315))/((-8)/20).
20
Let g = 6029 + -5802. Suppose 5*v = -4*q + 23, 2*v - 1 - 9 = -2*q. What is the remainder when g is divided by v?
2
Suppose -35 = -2*f + 47. Suppose 1391 = f*h - 6973. Calculate the remainder when h is divided by 108.
96
Let j = 97 + -88. Calculate the remainder when ((-3)/(-3) - -158) + -6 + 8 is divided by j.
8
Let r = 262 + -259. Let z(k) = -k**2 + 3*k + 9. What is the remainder when 26 is divided by z(r)?
8
Let v(y) = 2*y**2 - 7*y + 9. Let n be v(-8). Let c = 286 - n. Suppose -6*g + 9*g = c. What is the remainder when g is divided by 16?
15
Let n = -26748 + 26774. Suppose -t + 10 = -38. Calculate the remainder when t is divided by n.
22
Suppose 6*w = 1545 - 117. Suppose -38 + w = -4*q. Let s = -39 - q. Calculate the remainder when 107 is divided by s.
8
Suppose 3*u = 4*q - 3, u = -5*q + 3*u + 2. Suppose -i - 5*k + 35 = q, 0*k + 105 = 3*i - k. Calculate the remainder when i is divided by 25.
10
Let g(l) = l**2 - 5*l + 12. Let m be g(10). Let a = 70 + -67. Suppose 5*p = -u + 86 + m, a*u = -p + 472. What is the remainder when u is divided by 40?
38
Let z = -72 - 4. Let g = z - -125. What is the remainder when g is divided by 17?
15
Suppose 3*f - 6 = 0, 4*f - 106 = -3*s + 25. Suppose 0 = -8076*x + 8190*x - 10602. Calculate the remainder when x is divided by s.
11
Let j(z) = -4*z + 26. Suppose -4*i + 7*i + 30 = 0. Let k be j(i). Suppose -4*g + k + 58 = 0. What is the remainder when g is divided by 12?
7
Let r(n) = n**3 + 15*n**2 + 11*n - 31. Let j be r(-14). Let q(d) = -d**2 + 9*d + 34. Suppose 2*c + 1 = 7. What is the remainder when q(j) is divided by c?
0
Let u = 34591 + -34585. Suppose 172 = -2*h - 2*h. Let b = h - -70. What is the remainder when b is divided by u?
3
Calculate the remainder when 353 is divided by (107920/(-30))/19*(-6)/8.
69
Let b = -71 - -253. Suppose -5*c + b = -3*c. Let o = 7407 + -7383. Calculate the remainder when c is divided by o.
19
Let o = -8 - -57. Suppose p + p - 90 = 4*a, -p = -3*a - o. Let m = 343 - 233. What is the remainder when m is divided by p?
36
Let o(u) = -64*u**3 + 2*u**2 - 6*u + 6. Let s be o(2). Calculate the remainder when ((-4)/(-6))/(((-32)/s)/8) is divided by 8.
5
What is the remainder when (-48)/22 + 2 - (-3)/((-165)/(-26300)) is divided by 37?
34
Let b = -75 - -120. Let n = b - -46. Suppose -3*f + 398 = -n. Calculate the remainder when f is divided by 41.
40
Let y(z) = 3*z + 5. Let c = -168 - -184. What is the remainder when y(c) is divided by 22?
9
Calculate the remainder when 1567 is divided by (((-106)/10)/(-1))/(693/10395).
136
Suppose 0 = -k, -4*q - 37 + 1247 = q + 2*k. Calculate the remainder when q is divided by 81.
80
Let m(z) = -3*z + 21. Let t(w) = -2*w + 14. Let g be 4/14 + (69/(-21) - 2). Let n(d) = g*m(d) + 7*t(d). What is the remainder when 14 is divided by n(11)?
2
Suppose -6 = -19*q + 16*q. Suppose 18 = q*s - 2. Calculate the remainder when 16 is divided by (-600)/48*(2/s + -1).
6
Let d(l) = -29*l - 1533. What is the remainder when 1919 is divided by d(-57)?
119
Let a(b) = b**3 - 56*b**2 - 108*b - 425. What is the remainder when a(58) is divided by 18?
3
What is the remainder when (24/(-40))/((-36)/2220) is divided by 33?
4
Suppose 4*g - 2157 = 5*i, -2*g - 689 = -3*i - 1766. Let a = 566 - g. What is the remainder when 27 is divided by a?
4
Suppose 4*d - 25 = m, -19*d + 18*d - 41 = 5*m. What is the remainder when ((-12)/(-7))/(m/(-1071)) is divided by 30?
24
Let j(h) = -5*h. Let g be j(2). Let b = g + 16. Suppose -1514*m + 27660 - 3969 = -533. Calculate the remainder when m is divided by b.
4
Let g = -60 - -65. Suppose -5*h - 415 - 115 = -g*j, -j = -3*h - 96. Calculate the remainder when j is divided by 19.
16
Let m(i) = i**2 + 29*i + 157. Calculate the remainder when 8 is divided by m(-22).
2
What is the remainder when (-342674)/(-300) - 37/222 - (-4)/(-50) is divided by 379?
5
Suppose 130*m = 262*m - 125*m - 5271. What is the remainder when m is divided by 14?
11
Let w = 780 + -749. Let n(d) = d**2 - 4*d + 1. Let m be n(5). Calculate the remainder when (-1 - (-3)/m)*-180 is divided by w.
28
Suppose 12*s + 57 = 15*s. Suppose -s - 1 = 5*q. Calculate the remainder when (-2)/(-4) + (-234)/q is divided by 6.
5
Let f(c) = c**2 - 9*c - 24. Let o be f(-11). Suppose -5*z - 5*x = -2*z - 124, -5*z + o = 3*x. What is the remainder when z is divided by 16?
6
Let m(w) = -67*w + 132. Let t be m(-5). Let p = t - 424. What is the remainder when 85 is divided by p?
42
Suppose -688*l + 730*l - 882 = 0. Calculate the remainder when 1732 is divided by l.
10
Suppose -586 = -3*y + 6*d - 5*d, 2*y - 400 = -4*d. Calculate the remainder when 737 is divided by y.
149
Suppose -3*v + 6066 = -3*o, 0 = -4*v - 3552*o + 3548*o + 8064. What is the remainder when 6063