-c**5/20 - 11*c**4/12 + 5*c**3/3 + 16*c**2 + c + 12. Calculate the remainder when f(-12) is divided by 3.
2
Suppose 1634 = -14*n + 23*n - 4873. What is the remainder when n is divided by 23?
10
Let j = 5142 + -5053. Let g(t) = -t**2 - 13*t - 4. What is the remainder when j is divided by g(-10)?
11
Let y(f) = -12*f - 2. Let j(a) = 35*a + 5. Let g(l) = 3*j(l) + 8*y(l). Suppose 8 = c + 4. What is the remainder when 103 is divided by g(c)?
33
Let i = 8343 - 8311. What is the remainder when 9501 is divided by i?
29
Let s(t) = t**3 + 34*t**2 + 35*t + 75. Let x be s(-33). Calculate the remainder when 77 is divided by 10/(-2)*-1 - x/(-3).
5
Suppose 8*x = 9*x - 4. Let s(r) = -r**3 + 17*r**2 - 28*r - 15. Calculate the remainder when s(15) is divided by x.
3
Suppose f = 3*f + 3*u + 154, 3*u - 68 = f. Let i = f + 97. Suppose 5*t = -2*r + i, 3 = 2*t + 2*r - 11. Calculate the remainder when 14 is divided by t.
2
Suppose 317 = 3*i - 4*m, 3*i - 207 - 109 = 5*m. Calculate the remainder when 1888 is divided by i.
69
Suppose 5*g = -486324 + 487524. Suppose -2*j = -26 - 28. What is the remainder when g is divided by j?
24
Let s(a) = -2*a**2 - 60*a - 356. Let u(g) = g + 12. Let w = 1 - 1. Calculate the remainder when s(-10) is divided by u(w).
8
Let f = 22403 - 20543. Calculate the remainder when f is divided by 169.
1
Let w = -9728 + 10291. Calculate the remainder when w is divided by 115.
103
Let s = -2012 + 2110. What is the remainder when 484 is divided by s?
92
Suppose -280 = 8*q - 0*q. Let o(w) = -2*w**2 - 7*w + 6. Let x be o(4). Let p = q - x. What is the remainder when 55 is divided by p?
17
Let v(g) = -2*g + 39. Let u be v(19). Let o be (3/9)/((-2)/(6*u)). Calculate the remainder when 16 is divided by -2 - (-4 + o - 0).
1
Suppose 0 = 3*f - 4*f - 1. Let t be (1 - 2) + 2 - f. Suppose 195 = 3*q + 3*h, 4*q = 6*q - t*h - 118. What is the remainder when q is divided by 22?
18
Let p be 528/(-84) + (-2)/(-7). Let l be 10*(12/(-4))/p. Suppose -3*b = -l*b + 16. Calculate the remainder when 38 is divided by b.
6
Suppose -21*l = -15 + 36. Calculate the remainder when (1060/15)/(10/15) - l is divided by 39.
29
Suppose 6*z = -42*z - 311 + 983. What is the remainder when 2/10 + 958/10 is divided by z?
12
Let m(l) = 3*l**2 + 4*l - 3. Let n(t) = -2*t**2 - 3*t + 4. Let g(f) = 3*m(f) + 4*n(f). Calculate the remainder when 79 is divided by g(0).
2
Let j(u) = 97*u - 3014. Calculate the remainder when j(51) is divided by 17.
12
Suppose -16 = -9*w - 52. Let v be 997 - (4 + w + 3). Suppose -v = -11*q + 579. Calculate the remainder when q is divided by 29.
27
Let z(x) = -11*x - 7. Let k be z(2). Let n = k - -26. Let y(r) = -2*r**3 + 2*r**2 + 6*r + 4. What is the remainder when y(n) is divided by 10?
8
Let f(u) = -96*u + 6. Let j = 429430 + -429415. Calculate the remainder when f(-6) is divided by j.
12
Let p = 9561 + -9503. What is the remainder when 199 is divided by p?
25
Let d(q) = -322*q - 386. Calculate the remainder when d(-4) is divided by 23.
5
Let u(v) = 10*v**2 - 58*v + 13. Let z be u(9). Suppose 0 = -6*p - 67 + z. Calculate the remainder when 153 is divided by p.
36
Let b = -215 - -211. Suppose t = 2*t - 16. Calculate the remainder when 130 is divided by 0 + b/t + (-356)/(-16).
20
Let d = 45 + -83. Let x = d + 56. What is the remainder when (-5 - 3/(45/(-70)))/(2/(-318)) is divided by x?
17
Let s(y) = 24*y - 5. Let c = 63101 - 63088. What is the remainder when s(7) is divided by c?
7
What is the remainder when (32/72)/((-16)/24) + (-2787)/(-9) is divided by 122?
65
Let o(d) = -d**3 + 3*d**2 + 3*d + 1. Suppose 4*v + 15 = 404*b - 403*b, 5*v = -2*b + 121. What is the remainder when b is divided by o(3)?
3
Suppose v - 2*j - 43 = 0, -5*v - 1132*j + 1137*j + 200 = 0. Let u = 52 - 121. What is the remainder when (3 - 4)*u/1 is divided by v?
32
Let z be 6/30 - 2/10. Suppose 2*t + 4*i = 30, -3*i + 51 = -2*t + 5*t. Suppose j + z = t. What is the remainder when 55 is divided by j?
17
Suppose 21*f - 28 = 77. What is the remainder when 144 + (4 - -1) - f is divided by 37?
33
Let b be 1*((3 - -1) + -8). Let c be b + (-3)/(9/(-12)). Suppose c = j - 4. Calculate the remainder when 8 is divided by j.
0
Suppose 8*w + 6*h = 13*w + 9, 4*h = -2*w + 22. Let v be (((-2)/(-1))/2)/(-1). What is the remainder when (2/(-6))/(v/9) is divided by w?
0
Let t = -3908 - -4634. Calculate the remainder when t is divided by 8.
6
Suppose 3*r - 159 = -4*k - 12, -3*r + 4*k + 123 = 0. Calculate the remainder when 165 is divided by r.
30
Suppose 8*w + 6 = 5*w. Let i(q) = 5*q**2 - 4. What is the remainder when i(-4) is divided by (-84)/48*-2*(4 + w)?
6
Let f(y) = y**2 - 11*y + 40. Let q = 72 - 62. Calculate the remainder when f(q) is divided by 7.
2
Calculate the remainder when 104 + (-75)/(-2 - -27) is divided by 61.
40
Suppose 5*h - i = 390, 0*h + 2*i + 87 = h. Suppose -r - 5*s + h = -4, 2*r + s - 198 = 0. Let g = r + -86. What is the remainder when 43 is divided by g?
13
Let k(s) = s**3 - 3*s**2 + 2*s. Suppose 88*n + 302 = 2062. Calculate the remainder when n is divided by k(3).
2
Let b = 1361 + -1223. Suppose 0 = -2*o - o - 21. Let y(d) = -4*d - 8. Calculate the remainder when b is divided by y(o).
18
Let w = 111 + -21. Calculate the remainder when w is divided by ((-1001)/4)/(-11) - (-4)/16.
21
Suppose 401 = -6*i + 1043. Calculate the remainder when i is divided by 5.
2
Let x = 5543 - 5394. Calculate the remainder when x is divided by 145.
4
Let h be 20/4*(3 - 4). Let t be 16/20*2*h. Let v(s) = s**3 + 7*s**2 - 12*s - 8. What is the remainder when 47 is divided by v(t)?
23
Suppose -5097 = -5*h + 455 - 1267. Calculate the remainder when h is divided by 51.
41
Let r(d) = -6*d**2 + 4*d - 1. Let n be r(1). What is the remainder when (n + 11)/((-3)/(-48)) is divided by 10?
8
Let w be (-177)/(-1)*(-5)/15. Let y = -43 - w. Suppose 2*k - 135 = -k. What is the remainder when k is divided by y?
13
Suppose -5*m + 4*p = 102 - 141, p = 4. What is the remainder when 12626 is divided by m?
9
Suppose 295*c - l - 5569 = 291*c, 4*c = 4*l + 5560. Calculate the remainder when c is divided by 45.
43
Let f be 2/9 - (-878)/18. Let n = f + -21. Suppose 17*s + 660 = 23*s. What is the remainder when s is divided by n?
26
Let s = -264 - -373. Suppose -112 = -16*z + 112. Suppose -9*i = -238 - z. What is the remainder when s is divided by i?
25
Suppose 64*p = -17*p + 2*p + 60751. What is the remainder when p is divided by 77?
76
Suppose m + 136 = 35*m. Suppose -m*j = -2*p + 40, 0*p + 50 = 4*p + 2*j. Calculate the remainder when 29 is divided by p.
1
Suppose -2*w - 5*c + 18 = 0, 30*w - 28*w + c = 34. Suppose 4*z + 11 = 2*x - 211, 5*x - 544 = -z. What is the remainder when x is divided by w?
14
Let d be (-1)/(-2 + 0)*22. Suppose i + 3*i - 32 = 0. Suppose 0 = d*t - i*t - 141. Calculate the remainder when t is divided by 18.
11
Let q = -11018 + 11039. What is the remainder when 122 is divided by q?
17
Suppose 2*b + 290*x - 292*x = 34, 0 = x + 4. What is the remainder when 252 is divided by b?
5
Let y(z) = -61*z + 1164. What is the remainder when 504 is divided by y(17)?
123
Suppose -6236*u + 6239*u - 5*d = 106, 0 = -2*u + 3*d + 66. Suppose 4*v + 148 = 3*h, -2*v = -4*h + 6*h - 94. Calculate the remainder when h is divided by u.
0
What is the remainder when 475/(-15)*(-1188)/180 is divided by 35?
34
Let k be (-6)/36 + (5855/6)/5. Suppose -24*a + 21*a = -k. What is the remainder when a is divided by 17?
14
Suppose -512*i + 9134 = -165*i + 1153. Calculate the remainder when 115 is divided by i.
0
Suppose 3*x - 8*i + 13*i - 20 = 0, 2*x + i - 18 = 0. Calculate the remainder when 117 is divided by x.
7
Let f = 898 - 867. Calculate the remainder when 1048 is divided by f.
25
Let j be ((-7)/(126/264))/((-2)/45). Let t = j - 301. Let g = -8 - -122. What is the remainder when g is divided by t?
27
Let q = 2 - 2. Suppose i - 3*b - 389 = q, b - 544 = -2*i + 241. Let r = i - 237. What is the remainder when r is divided by 26?
25
Suppose 0 = 5*x - 0*x - 10. Suppose 0 = x*n - 4 - 32. Let a = -5603 - -5691. Calculate the remainder when a is divided by n.
16
Suppose 2 = y + 7, -5*n - 2*y + 1005 = 0. Let s = -124 + n. What is the remainder when s is divided by 27?
25
What is the remainder when -3 + 8 - -951*10/15 is divided by 195?
54
Let f = -1622 - -