te the remainder when o is divided by 9.
7
Let c = 220 - 186. Suppose -4*n + 54 = -c. What is the remainder when 56 is divided by n?
12
Let s(t) = 43*t**3 + t**2 + t - 1. Suppose -44*u = -u - 18877. Calculate the remainder when u is divided by s(1).
43
Suppose -1473*k = -1475*k - 2*g + 122, -242 = -5*k + 4*g. Let c(d) = -d**2 + 9*d - 1. Let o be (0 - (-2)/6)*15. What is the remainder when k is divided by c(o)?
16
Let r(y) = 38*y**2 - 22*y + 17. Let d be r(5). Let h = d - 824. Calculate the remainder when 88 is divided by h.
22
Suppose -o + 1 + 3 = 3*t, 4*t + 51 = 3*o. What is the remainder when 105 is divided by (4/(12/o))/((-2)/(-18))?
27
Let x = 274 + -92. Let u = 188 - x. What is the remainder when 13 is divided by u?
1
Suppose 87*a - 90*a = -822. What is the remainder when 309 is divided by a?
35
Let f = 15590 - 14057. What is the remainder when f is divided by 33?
15
Suppose 23*a - 42*a + 15550 = 31*a. What is the remainder when 932 is divided by a?
310
Let s = -497 + 501. Suppose -3827 = -s*z + 4*q - 3*q, 2*z - 5*q - 1927 = 0. What is the remainder when z is divided by 29?
28
Suppose 4*s = 4*b - 8, -4*b - 3*s + 1 + 7 = 0. Let o(z) = -330*z**2 + 1324*z - 8. What is the remainder when 1 + ((-2)/b - -35) is divided by o(4)?
3
Calculate the remainder when 175 is divided by 5584/2288*11 - 4/(-26).
13
Let b be (-1)/(-5) + (-1014)/(-5). Suppose b = 2*t + 31. What is the remainder when t is divided by (-116512)/6620*(-10)/4?
42
Let a = -138 - -133. Let x be (-2)/a + 192/(-30). What is the remainder when (-586)/x + (-18)/27*1 is divided by 20?
17
Let u(n) = -n**2 + 11*n - 2. Let f(z) = -z. Let v(h) = -27*h + 32. Let g(i) = 4*f(i) - v(i). What is the remainder when g(9) is divided by u(9)?
15
Suppose -113*j + 117*j = 4*o - 80, 5*j - 50 = -5*o. Calculate the remainder when 2200 is divided by o.
10
Let l(b) = -b**3 - 4*b**2 - 2*b + 3. Suppose i = 3*g - 11, -5*g + 35 = -5*i - 0*i. Let o = 30 - g. Calculate the remainder when o is divided by l(-4).
6
Suppose 0 = -p - x - 480, 2*x = -5*p + 6*x - 2418. Let l = -455 - p. What is the remainder when l is divided by 10?
7
Let q = -1098 + 1662. Suppose -q = -22*y - 146. Calculate the remainder when 90 is divided by y.
14
Suppose 3*i + 4 = 16. Suppose 155 - 761 = -2*z - 5*m, i*z - 1156 = 4*m. What is the remainder when z is divided by 27?
23
Let m = -7550 - -8134. What is the remainder when m is divided by 47?
20
Calculate the remainder when 117 is divided by (-10)/(-35) - (4 - (-1506)/(-21)).
49
Let f(t) = -11*t**2 + 29*t - 11*t**2 + t**2 + t**3 + 18. Let a be f(20). Calculate the remainder when 12 is divided by a/27 + 2/3.
4
Let q(v) = 20*v + 4*v + 8 - 9*v. Let r be q(3). Let c = r + -45. Calculate the remainder when c is divided by 3.
2
Suppose 3*j - q + 143 = 3151, 4*j - 2*q - 4008 = 0. Calculate the remainder when j is divided by 14.
10
Calculate the remainder when 29/(2842/112) + 3639/7 is divided by 72.
17
Suppose 5*b + 26 = 3*p, 3*p + p + 2*b = 52. Let m(t) = 4*t**3 - 4*t**2 + 3*t + 1. Calculate the remainder when m(3) is divided by p.
10
Suppose 581 = 4*l + a, 0 = -7*l + 9*l + 4*a - 294. Suppose -143*o = -l*o + 8. What is the remainder when 250/4*4/5 is divided by o?
2
Let z(u) = -2*u + 5. Let x be z(0). Suppose 2*o - h = x*o - 78, -4*h = 0. Calculate the remainder when 76 is divided by o.
24
Suppose 12*s + 21803 - 21935 = 0. What is the remainder when 732 is divided by s?
6
Let j(r) = r**2 + 6*r - 14. Suppose -14 = -5*b + 21. What is the remainder when j(b) is divided by (-32)/(-2) + 144/(-48)?
12
Suppose -6 = -2*i, a + 1609*i - 1612*i - 220 = 0. Calculate the remainder when a is divided by 220.
9
Let i = -46 + 327. Suppose -5*x - 10 = 0, -5*a + i = 3*x - x. Calculate the remainder when 511 is divided by a.
55
Suppose 3 = 4*b + 11, -b = -5*f + 27. Suppose 0 = f*a + 61*n - 57*n - 90, -5*n = 2*a - 36. Calculate the remainder when 69 is divided by a.
15
Suppose 0 = -5*d + 4*v - 1, -20 = -4*d - 2*v - 0*v. Suppose 10 - 373 = -d*r. What is the remainder when r is divided by 41?
39
Let l be 12/(4 - (-6636)/(-1660)). Suppose -5*d + l = d. Suppose 0 = -4*o + 9*o - d. What is the remainder when o is divided by 42?
40
Let n = 21698 + -21686. Calculate the remainder when 860 is divided by n.
8
Suppose -t - 4*t + 10 = 0, -4*t - 1012 = 5*a. Let k = -176 - a. What is the remainder when 44 is divided by k?
16
Let t = -600 - -145. Let s = t - -481. What is the remainder when 519 is divided by s?
25
Suppose h - p = 13, -35 - 7 = -3*h + 4*p. Let u(w) = h*w**3 + 3*w**3 - w**2 + 2*w**2 + 0*w**3 + 2*w - 2. Calculate the remainder when 109 is divided by u(1).
11
Let t(j) = 2*j**2. Let y(f) = 9*f**2 - 6*f - 8. Let a(s) = -3*t(s) + y(s). Suppose 5*q = q - 12. Calculate the remainder when a(q) is divided by 8.
5
Let f(t) = -t**3 + 15*t**2 - 29*t + 95. What is the remainder when 440 is divided by f(13)?
48
Let f(t) = 324*t - 470. Calculate the remainder when 3911 is divided by f(2).
173
Suppose 0 = -2*n + 7*n - 30. Let w be 423/n - 2/4. What is the remainder when -5 - w/(-15) - 362/(-6) is divided by 16?
12
Let q = 4 + 87. Calculate the remainder when 127 is divided by q.
36
Suppose -5*u = 2*r - 49, 12*r + 5*u = 9*r + 81. Let b be ((-2 - -3) + 43)*6/(-8). Let n = 44 + b. What is the remainder when r is divided by n?
10
Suppose 2*t + 28 = 2631*u - 2630*u, 5*u - 2*t - 108 = 0. What is the remainder when 48 is divided by u?
8
Let n = 20 - 4. What is the remainder when (-151 + 149)*-23*2 is divided by n?
12
Let c(o) = -7*o**2 - 448*o + 494. What is the remainder when 146 is divided by c(-65)?
29
Let q(x) = 0*x**2 + 3*x**2 - 6*x**2 + 11 + 4*x**2 + 15*x. Suppose 71 = -3*z + 20. Calculate the remainder when q(z) is divided by 35.
10
Let u(x) = x**2 - 11*x - 10. Let o be u(12). Suppose 6*z - o*z - 368 = 0. Let s = -6838 - -6862. What is the remainder when z is divided by s?
20
Let g(u) = 68*u**2 + 67*u**2 - 79 - 136*u**2 - 23*u. Suppose 3*h + 8 = 53. Calculate the remainder when h is divided by g(-5).
4
Let k(a) = 3*a + 21. Let y be k(-7). Suppose y = -7*h - h - 40. Let b(c) = -c + 2. Calculate the remainder when 48 is divided by b(h).
6
Suppose -12*w - 4176 = -28*w. Calculate the remainder when 275 is divided by w.
14
Suppose 5*f - 9*f + 508 = 4*h, 5*h - 675 = 3*f. What is the remainder when h is divided by 29?
16
Suppose 164*g + 61066 - 1970842 = 32*g. Calculate the remainder when g is divided by 53.
52
Calculate the remainder when 273 is divided by (994/(-72))/((-71)/568) - 4/9.
53
Suppose 0 = -4*p + 40*w - 35*w + 3518, w + 6 = 0. What is the remainder when p is divided by 9?
8
Let t be ((-128)/(-4))/((-1)/2). Let b = -39 - t. Let i(j) = 42*j**2 - 1718*j - 122. Calculate the remainder when i(41) is divided by b.
17
What is the remainder when 13278 is divided by ((-455)/5)/13 + 167?
158
Suppose -2*p + 5*b = -419, 443 = 16*p - 14*p + 3*b. Calculate the remainder when p is divided by 4.
1
Suppose 101*j + 16 = 99*j. Calculate the remainder when j/28 - 611/(-7) is divided by 18.
15
Suppose -17*q = 6103 - 595. Let s = q + 349. Calculate the remainder when s is divided by 8.
1
Suppose -9*x + 436 = 112. Suppose 1277 + 1999 = x*a. What is the remainder when a is divided by 31?
29
Let p = -26552 + 26981. Calculate the remainder when p is divided by 93.
57
Suppose 13*l = 10*l - 2*s + 56, 0 = -l - 4*s + 22. Suppose -l*k - 18120 = -42*k. Calculate the remainder when k is divided by 18.
17
Suppose 5*n = 3*v + 218, 13*n + 4*v = 9*n + 168. Calculate the remainder when 2020 is divided by n.
42
Suppose -5*q - 5 = 5*m - 240, 0 = -3*q - 5*m + 149. Suppose -4*s + 2*s = 34. Let h = -6 - s. Calculate the remainder when q is divided by h.
10
Let g = -16597 + 16887. Calculate the remainder when 657 is divided by g.
77
Suppose -35*w + 76220 = 362*w - 27*w. Calculate the remainder when 424 is divided by w.
12
Suppose 0 = t - 2, -2*a + a = t - 23. Suppose -33 = -3*d - 3*r, 13*r = -5*d + 14*r + 37. What is the remainder when 0 + a*6/9 is divided by d?
6
Suppose 101*w + 540 = 10438. Calculate the remainder when 889 is divided by w.
7
Let z = 17256 - 13829. Calculate the remainder when z is divided by 118.
5
Let y = 1062 - 1643. Let n = -346 - y. What is the remainder when n is divided by 60?
55
Let p(u) = u**2 - 2*u - 24. Let c be p(-14). Suppose -196 = -