5 - p. Let v = 509 - z. What is the remainder when v is divided by 36?
34
Let f = -19713 + 20192. What is the remainder when f is divided by 32?
31
Suppose 6687 = 27*u + 18. Calculate the remainder when u is divided by 73.
28
Let c(q) = 25*q**3 + 10*q**2 - 23*q - 5. Suppose 0 = -2*y + 7*y - 90. Calculate the remainder when c(2) is divided by y.
9
Let j(m) = m**2 - 6*m - 13. Let p be j(8). Suppose -330 = -2*b + 4*h, 0*h + p*h = b - 160. Calculate the remainder when b is divided by 20.
15
Let l(x) = 949*x - 82492. Let n(t) = 5*t**2 - 2*t + 1. Calculate the remainder when n(-5) is divided by l(87).
65
Let g = -760 + 728. What is the remainder when 62 is divided by (104/g)/(6/(-72))?
23
Let v = 341 + -331. Let z = 27 - 47. Let y = -16 - z. What is the remainder when v is divided by y?
2
Let a = 1900 + -1883. Calculate the remainder when 2209 is divided by a.
16
Suppose -18*r - 19*r = 24*r - 80825. What is the remainder when r is divided by 78?
77
Let q = 2 + 12. Let o(x) = -x**2 + 64*x + 366. Calculate the remainder when o(69) is divided by q.
7
Let x(f) = -183*f**2 - 4*f - 14. Let u be x(-4). What is the remainder when 300 is divided by 6/(-7)*u/66?
34
Let w(y) = -14*y**2 - 29*y + 6. Let f(u) = -13*u**2 - 25*u + 5. Let q(h) = -6*f(h) + 5*w(h). What is the remainder when 290 is divided by q(2)?
38
Suppose -47 = j + 3*v - 196, -845 = -5*j + 5*v. What is the remainder when j is divided by 67?
30
Let n(k) = -31*k + k**2 + 24*k + 5*k + 28. What is the remainder when 224 is divided by n(-6)?
72
Let r(j) = -j**3 + 11*j**2 - 8*j - 7. Let w be 56/196 - ((-183)/7)/3. What is the remainder when r(w) is divided by 15?
8
Suppose -5*s = -25, -3*u - s - 7 = -0. Suppose -10*q + 525 = 5*q. What is the remainder when q is divided by (-2)/(1/38*u)?
16
Let c be (12 + -7 + -6)*317. Let o = 504 + c. Calculate the remainder when o is divided by 48.
43
Suppose 14 = 4*d + 5*y - 12, -4 = -3*d + 4*y. What is the remainder when 552 is divided by d?
0
Suppose -4*s + 804 = -s. Let b(h) = 13*h**2 + 188*h - 527. What is the remainder when s is divided by b(-17)?
30
Let l(p) = -11*p - 1. Suppose -5*s - h + 98 = 42, -4*s - h = -46. What is the remainder when l(-10) is divided by s?
9
Let z(x) = -x**2 - 27*x + 52. Let a(o) = o**2 - o. Let v(s) = -2*a(s) - z(s). What is the remainder when v(20) is divided by 22?
18
Suppose -5*m = 3*f - 222, -3*m = -2*f + 88 + 41. Let k be 5/(-10)*0 - (-1 + 3). Let h(q) = 7*q**2 + 10*q + 11. What is the remainder when f is divided by h(k)?
12
What is the remainder when 280 is divided by 63*((-48)/(-40))/((-28)/(-20))?
10
Suppose 0 = 25*f - 14*f + 55. Calculate the remainder when f + (198 - 2) + -7 is divided by 77.
30
Let k = 4528 - 4489. Calculate the remainder when 133 is divided by k.
16
Suppose -2*y - 2*y = -2*j - 12, -3*j + 4*y = 6. What is the remainder when 863 is divided by j?
5
Let z = -7946 - -8105. Calculate the remainder when 161 is divided by z.
2
Suppose -3*g - 2*g - 753 = -4*i, 0 = -g - 4*i - 141. Let h = g + 220. What is the remainder when 1418 is divided by h?
69
Suppose -5*p + 5*b + 15 = 0, 0 = -0*p - 3*p + b + 11. What is the remainder when 38 is divided by 1/(-1) - (p + 4 - 25)?
6
Suppose -21*u + 1116 = -459. What is the remainder when 180 is divided by u?
30
Suppose -2*d + 5*y + 3827 + 826 = 0, -3*d - y = -6971. What is the remainder when d is divided by 15?
14
What is the remainder when 2/(32/(-124))*((-22 - -14) + -812) is divided by 10?
5
Let n be -2*-3*(-5)/(-10). Let v be -5 + 2 + -3 + 6. Suppose 100 = 2*i + z, 5*z = -n*i - v*z + 136. Calculate the remainder when i is divided by 27.
25
Suppose -20*j = -15*j - 355. Let i = j - 67. Suppose 0 = -6*p + p - 5*d + 510, -i*p + 435 = -5*d. Calculate the remainder when p is divided by 27.
24
Let m be (-4)/(-10) + 3876/60. Suppose 97 = 3*r - m. Calculate the remainder when r is divided by 20.
14
Suppose 5*n - 40 = -11*w + 6*w, 5*n = 4*w - 5. Suppose -n*a + 141 = -0*a. Let g = 12 - 0. What is the remainder when a is divided by g?
11
Let l = 2469 + -2465. What is the remainder when 292 is divided by l?
0
Suppose j = -4*i - 2, -3*j + 2 = -2*j. What is the remainder when ((i - -2) + -2)*-62 is divided by 17/2*2 - (-360)/(-90)?
10
Let s = -31 - 16. Let c = s - -49. Suppose 0 = -c*g - 4*r + 54, -2*r = -7*r + 25. Calculate the remainder when 31 is divided by g.
14
Let u(y) = y**3 - 8*y**2 - 59*y + 623. Calculate the remainder when u(9) is divided by 10/15 - (-224)/6.
21
Let b = -29021 - -29110. What is the remainder when 214 is divided by b?
36
Let k = -257 + 80. Let m = k + 206. Let i(z) = -z**3 + 4*z**2 - z - 2. What is the remainder when m is divided by i(3)?
1
Suppose 5 = 2*h - 3. Suppose 3*f = 5*l - 490, 0 = -h*l + 8*l + 2*f - 392. Calculate the remainder when l is divided by 25.
23
Suppose -3*g - 32 = m - 44, 3*m - 22 = -2*g. Suppose -z - 3*z + 100 = 0. Suppose 2 - z = -v. Calculate the remainder when v is divided by m.
5
Let d(a) = 2*a**2 - 7*a - 11. What is the remainder when d(9) is divided by 3/((-9 - (-10 - -3))/6) - -24?
13
Suppose -n - 29007 + 29194 = 0. What is the remainder when n is divided by 38?
35
Let f = 1388 + -970. Let m = 434 - f. What is the remainder when 5*(1 + (-106)/(-10)) is divided by m?
10
Let s(r) = -2*r + 5. Let m(l) = l + 2. Let o be m(7). Let k be 1/2 - o/2. What is the remainder when 24 is divided by s(k)?
11
Suppose -5*y - 28 + 46 = 3*t, 2*y - 38 = -4*t. What is the remainder when 441 is divided by t?
1
Suppose -v + 6 = -3*x, -6*x - 5 = -x. Suppose 4*r - 8 = -2*y + 70, 2*r + v*y = 41. Calculate the remainder when 49 is divided by r.
11
Suppose -85*o = -96*o + 44. Suppose 30 = a - 4*s - 50, -216 = -3*a + o*s. Calculate the remainder when a is divided by 18.
14
Let d = -21 + 36. Let c(u) = 752*u**2 + 5*u - 1. Let l be c(1). Suppose -2*m + 20*m = l. Calculate the remainder when m is divided by d.
12
Let g(j) = 5*j**2 - j + 120. Suppose -3*c - 2 = 3*q + 1, q - 5*c - 5 = 0. Calculate the remainder when g(q) is divided by 18.
12
Let g(n) = -221*n - 1980. Calculate the remainder when 1555 is divided by g(-9).
7
Suppose 2 = -s - 5*k, -5*s + 14 = -s - 2*k. Let o = 239 + -236. What is the remainder when ((-169)/o)/(-13) - 2/(-3) is divided by s?
2
Suppose -4*k + 4*l + 328 = 0, k + l = 4*k - 256. What is the remainder when 318 is divided by k?
57
Let h = 24 + -22. Let f(x) = -20*x - 5. Let r(p) = -2*p. Let m(d) = h*r(d) - f(d). What is the remainder when 368 is divided by m(3)?
50
What is the remainder when 231 is divided by 4 + (-11 - (-8 + -7))?
7
Let z(c) = -6 - 7 + 6*c**2 + 7*c + c**3 + 20. Let v be z(-3). Suppose v*f - 10*f = 78. Calculate the remainder when f is divided by 10.
6
Let d = 233 + -20. Let s = d + -187. Calculate the remainder when 18/(((-2)/5)/(-1)) is divided by s.
19
Let i = 13053 - 12313. What is the remainder when i is divided by 19?
18
Let d be (-6)/6 + -7 + 14. Suppose -d*p + 682 = 94. What is the remainder when p is divided by 9?
8
Let h(u) = 1169*u - 59606. Suppose 0*c = 3*c - 5*j - 33, 3*c = -4*j + 6. Calculate the remainder when h(51) is divided by c.
1
Suppose 2*n = z - 71, -4*n + 9 - 1 = 0. Let o(w) = -3*w - 9. What is the remainder when 0 + 1 + (-4)/((-12)/z) is divided by o(-6)?
8
Let b = -2235 + 2631. Calculate the remainder when b is divided by 282.
114
Let k = 2158 + -2098. Calculate the remainder when 176 is divided by k.
56
Suppose 0 = 3*y - 2*n + 5*n - 3, 2*y - 3*n = 2. Let h be y/3 - (-2)/(-6). What is the remainder when 29 is divided by h + 4/4 + 16?
12
Suppose 4*b - q - 728 = 0, 31 - 405 = -2*b + 3*q. Suppose -765 = -22*h + b. What is the remainder when 180 is divided by h?
8
Let a be (-4)/(-72)*-32 + (-2)/9. What is the remainder when 45 is divided by 9 + (a/8)/(10/(-120))?
9
Let o = 47 + -42. Suppose -9*d - o + 113 = 0. Suppose 17*h - 85 = d*h. Calculate the remainder when 63 is divided by h.
12
Suppose -8 = -t + 21. Suppose -5*l - 90 = -5*s, -4*s = -3*l - 3*s - 46. Let o(y) = -y**3 - 15*y**2 - 10*y + 74. What is the remainder when t is divided by o(l)?
11
Suppose 0 = 99972*l - 99986*l + 602. Calculate the remainder when (3 + 175)*1/2 is divided by l.
3
Suppose -3*i - 50 = 2*i. Let d be (-2 - -15)/(i/(-90)). Suppose 0 = -u + d + 50. What is the remainder when u is divided by 34?
31
Let a(z) = 6*z**2 + 7*z - 36. What 