a) = -16*a - 186. Let l(x) = 4. Let w(p) = c(p) + 4*l(p). What is the remainder when 128 is divided by w(-12)?
18
Suppose -3*r + 23 = 8. Suppose -d = -l - 256, 3*l - 774 = -3*d + 8*l. Suppose -r*a = -d + 73. What is the remainder when a is divided by 13?
10
Calculate the remainder when 7558 is divided by 1347/45 - 212/(-3180).
28
Suppose 4*v + 32 = 2*m, 3*m - 56 = -0*m + 2*v. Suppose 5*s + i + 962 = 2*s, 2*s + 4*i = -648. Let p = -281 - s. Calculate the remainder when p is divided by m.
19
Suppose -12*p - 4263 + 1154 + 17413 = 0. What is the remainder when p is divided by 52?
48
Let m be (-3256)/33 - 6/(-9). Let z = -82 - m. Calculate the remainder when z is divided by 3.
1
Let k = 5781 + -5503. Calculate the remainder when k is divided by 128.
22
Let i(a) = -12*a**2 - 54*a + 88. Let g(u) = 7*u**2 + 27*u - 44. Let l(d) = 7*g(d) + 4*i(d). Calculate the remainder when 101 is divided by l(26).
11
Suppose -145 = -5*k - 3*n, 165 = 4*k + 5*n + 36. Let y be (-3 + -5)*(-4 + (-18)/(-4)). What is the remainder when (-2 - 32)/(0 - y/(-6)) is divided by k?
25
Let p(l) = l**3 + l**2 + 17*l + 38. Let w be p(-2). Suppose -3*z + 4*n + 288 = 7*n, w = 5*z - 3*n - 448. Calculate the remainder when 180 is divided by z.
88
Suppose 25 = 5*g, 2*t - 5*g - 15 = -6*g. Suppose -7*l = -3*b - 5*l + t, -4*b = -4*l. What is the remainder when 16 is divided by b?
1
What is the remainder when 632 is divided by (-12)/9 + ((-2926)/33)/(-14)?
2
Let k = 9596 + -9582. What is the remainder when 14025 is divided by k?
11
Let o(n) = n**3 - 4*n**2 + 22*n - 45. What is the remainder when 12*2/(-8)*-14 is divided by o(3)?
6
Let i = 170 + -44. Let c = -13 + i. Let s(l) = 4*l**3 + 174*l**2 + 85*l - 20. Calculate the remainder when c is divided by s(-43).
21
Suppose 1242*o - 440856 = 392*o - 1034*o. Let b(d) = -d + 5. What is the remainder when o is divided by b(3)?
0
Suppose 0 = -8*g + 7*g + c - 7, -2*g - c = -1. Calculate the remainder when g/4*212*-1 is divided by 36.
34
Let n(y) = -y**3 - 5*y**2 - 6*y - 6. Let i(k) = 191*k - 26. What is the remainder when i(1) is divided by n(-5)?
21
Let o be ((-2)/(-4))/((-3)/12). Suppose -2*q + 18 = -5*n, -n - 2*q + 12 - 6 = 0. Calculate the remainder when (32/(-10))/(o/(-20)*n) is divided by 6.
4
Suppose 3*z + z = -3*c + 7, 3*c = 4*z + 23. Let x(i) = -31*i + 13. Let r be x(z). What is the remainder when 6 + r/(-10) - (-370)/4 is divided by 23?
22
Let s(t) = 2424*t + 1034. What is the remainder when s(3) is divided by 30?
26
Let l = -230 + 210. Let g(h) = -h**3 - 21*h**2 - 24*h - 50. What is the remainder when 55 is divided by g(l)?
25
What is the remainder when 143 is divided by 762/(-18)*((-15)/9 + (-68)/51)?
16
Suppose 4*y + 188 + 30 = o, 5*o = -2*y + 958. Calculate the remainder when 1750 is divided by o.
4
Suppose 73 = 11*b - 125. What is the remainder when -1*(-276)/4 + -4 is divided by b?
11
Let a(i) = 4*i**2 + 3*i - 2*i**2 - 17 + 15 - i**3 + 5*i**2. Let k be a(7). Suppose 217*q = 218*q - k. Calculate the remainder when 47 is divided by q.
9
Suppose -31 = p - 5*z, -5*p + 3*z = -0*p + 45. Calculate the remainder when p/45 + (-7328)/(-60) is divided by 41.
40
Suppose -1691*u = -54508 - 2986. Suppose -141 = -4*a + 187. Calculate the remainder when a is divided by u.
14
Let i(c) = 4*c + 70. Let l be i(-18). What is the remainder when 17 is divided by ((l + 7)/(-5))/(2/(-12))?
5
Suppose -6*y + 3473 = -2*a + 1171, 1542 = 4*y - 5*a. What is the remainder when y is divided by 5?
3
Let w be (435/9)/5 + 8/(-12). Let k(t) = t**2 - 11*t + 13. Let p be k(w). Calculate the remainder when (2 + 147/(-9))/(p/15) is divided by 11.
10
Let l(g) = g**3 - 7*g - 5. Let z be l(4). Suppose 2*r + 10 = -3*m + z, 4*r = 4*m - 8. Suppose -18 = 23*q - 29*q. What is the remainder when m is divided by q?
2
Suppose 2*i - 2*z = -116 + 214, -z = -5*i + 257. Calculate the remainder when 1507 is divided by i.
51
Suppose 6185 - 20960 = -75*o. Calculate the remainder when 1159 is divided by o.
174
Suppose -14*g + 237 = -57. Suppose -g = -b + 16. Calculate the remainder when b is divided by 8.
5
Suppose -2*u = 5*t - 35, -6*u + 7*u = -5*t + 35. Suppose l - 23 = -2*i, -l + 29 = -t*i + 6*i. Calculate the remainder when 79 is divided by l.
25
Let c(x) = 3*x**2 - x. Let k = -377 - -196. Let f = 227 + k. What is the remainder when f is divided by c(3)?
22
Let l be 34 + -2*1/(-2). Let t = -25 + l. Let h(x) = x**3 - 10*x**2 + 2*x - 11. What is the remainder when 60 is divided by h(t)?
6
Let t = 5 + 2. Let h = 67829 + -67740. What is the remainder when h is divided by t?
5
Let m(u) = -5*u + 9. Let v be m(13). Suppose 0 = -2*f - 4*y - 174, -4*y = y + 20. Let d = v - f. What is the remainder when 86 is divided by d?
17
Suppose -2*z - 2*z + 4*m + 60 = 0, -10 = 2*m. What is the remainder when 0 - ((-4)/26 + 1550/(-65)) is divided by z?
4
Let u(t) = t. Let i be u(5). Let p(q) = q - 49. Let m(y) = -y - 24. Let h(x) = -5*m(x) + 3*p(x). What is the remainder when h(i) is divided by 5?
3
Suppose 2*w - 13 - 21 = 0. Let t be -18*((-23)/15 + (-4 - -18)/70). Suppose -63 = -t*z + w*z. Calculate the remainder when 14 is divided by z.
5
Let d(l) = -4*l + 16. Let z(s) = 2*s**2 - 23*s + 43. What is the remainder when d(-2) is divided by z(2)?
4
Suppose 0 = -o - o + 10. Suppose -328 = -3*v - 2*k + 263, 0 = o*v - 4*k - 985. What is the remainder when v is divided by 738/54 + -14 - (242/(-6))/1?
37
Let g(i) = 3*i**3 - 6*i**2 - 6*i + 5. Suppose -15*o + 884 + 3721 = 0. What is the remainder when o is divided by g(4)?
76
Let k(p) = -4 - 35*p**2 - 2 + 2*p - 5*p + 3 - p**3 - 9. What is the remainder when k(-35) is divided by 24?
21
Suppose -16 = -4*y, 4*u + 246*y - 251*y - 120 = 0. Calculate the remainder when 196 is divided by u.
21
Suppose -32*s + 86623 = 7519. Suppose -50*v + 58*v - s = 0. What is the remainder when v is divided by 26?
23
Let o(u) = 16*u + 3. Let d be o(-2). Let z = -1 - d. Calculate the remainder when 67 is divided by (-3)/21 - 54*(-12)/z.
21
Suppose -97 = -2*p + 15. Suppose -84 = 2*m - 2*w, -7*m - 5*w - 20 = 274. Let x = p + m. Calculate the remainder when 67 is divided by x.
11
Let z = -7 + -2. Let a(k) = -k - 205. Let w(h) = 24. Let d(i) = a(i) + 10*w(i). Calculate the remainder when d(z) is divided by 12.
8
Suppose -4*h = -36 + 28. Suppose -3*z + 10 = 4*q - 3*q, q = -h*z + 13. Calculate the remainder when 124 is divided by q.
10
Suppose -j = 9*j - 10. Suppose 2*t - 5*h + j = -8, 2*t + 2*h + 16 = 0. Let a = t - -18. What is the remainder when 41 is divided by a?
8
Let f(l) = 130*l - 48. What is the remainder when 849 is divided by f(2)?
1
Let x(f) = f**3 - 6*f + 4. Let b be x(2). Suppose 24 = -b*y - 3*y. What is the remainder when 66 is divided by y/((-4)/2) - (-30 + -1)?
31
Suppose 2*a + a - 15 = -v, -3*a = -v - 15. Suppose -4*r = -2*q + 3*q - 41, v = -r - q + 8. What is the remainder when 23 is divided by r?
1
Suppose k - 116*v + 13 = -120*v, v = -4*k + 8. Suppose -5*a = 15, 39 = 3*o + o + k*a. What is the remainder when 100 is divided by o?
4
Suppose -6 = 4*f - 22. Suppose -112 = f*b - 6*b. Calculate the remainder when b is divided by 29.
27
Calculate the remainder when (-1907304)/(-315) - (322/(-105) + 3) is divided by 53.
13
Suppose -6*l - 225 = -551 - 394. What is the remainder when l is divided by 22?
10
Suppose 39*y - 156*y + 399201 = -84*y. What is the remainder when y is divided by 23?
22
Let c(i) = -57*i + 7. Let h be c(-1). Suppose b - h = -22. Let w(j) = j**2 + 3*j - 6. What is the remainder when b is divided by w(-7)?
20
Let x = 18407 - 18158. What is the remainder when x is divided by 47?
14
Suppose 2*n = -12*n + 42. Suppose -n*a + 266 = 26. Calculate the remainder when a is divided by 41.
39
Let h = -14957 + 15127. Calculate the remainder when h is divided by 44.
38
Suppose -73*q = 307*q - 43320. Calculate the remainder when 140 is divided by q.
26
Let r(p) = 2*p**2 - 2*p + 8. Let a be r(-5). Suppose -50 = f - a. Suppose -3*w = 2*w - 340. What is the remainder when w is divided by f?
14
Suppose 0 = -3*j + s + 34, 4*j - j - 114 = -15*s. Calculate the remainder when (144/10)/3*10 is divided by j.
9
Suppose -5*z - 89 = -4*c, 19*c - 20*c + 5*z + 11 = 0. Calculate the remainder when 459 is divided by c.
17
Suppose 2*j - 172*h - 7 = -167*h, -3*j + 2*h = -16. What is the remainde