+ s. Calculate the remainder when n is divided by 19.
16
Let f = 4133 + -4061. What is the remainder when 283 is divided by f?
67
Suppose -601 = 3*z + 9*z - 9265. What is the remainder when z is divided by 102?
8
Let n(o) = -1752*o + 10717. Let j(g) = -22*g + 3. Calculate the remainder when n(6) is divided by j(-3).
67
Suppose -3*n + 1227 = -3*k + 7*k, -818 = -2*n - 5*k. Suppose -2*a + q = -q - 274, 3*a - 5*q - n = 0. Calculate the remainder when a is divided by 20.
18
Suppose -1515 = -3*v + 2*p, -3*v = -3*p - 482 - 1036. Suppose -5*g = 3*m - 539, -3*m + 0*g + v = -4*g. What is the remainder when m is divided by 8?
5
Suppose -3*x + 13 = -23. What is the remainder when (-90)/10 + 28 + 15 is divided by x?
10
Let g be (-5*(-4)/(-20))/((-1)/467). Let l = g + -457. Calculate the remainder when 869 is divided by l.
9
Let y(u) = -5*u - 60. Let o be y(-13). Suppose 83 + 812 = o*k. What is the remainder when k is divided by 45?
44
Let s = 79 + -51. Let f be 8/(-32) - (-482)/8. Suppose -q = -3*w - 10, -4*q - 8*w = -10*w - f. Calculate the remainder when s is divided by q.
12
Suppose 2*n - 6 = 0, 0 = 3*w - n - 26 - 25. Calculate the remainder when -6*19/(-304) - 277/(-8) is divided by w.
17
Let g(r) = r**2 - 4*r - 51. Calculate the remainder when 224 is divided by g(-7).
16
Let x = -4729 + 4886. Calculate the remainder when 1577 is divided by x.
7
Let p = 101 + -29. Let m be (1/1*1)/((-3)/(-210)). Suppose -2*a = -5*a - 15, -a - m = -5*d. Calculate the remainder when p is divided by d.
7
Let y(w) = -2*w**2 - 4*w + 197. Calculate the remainder when 208 is divided by y(0).
11
Let w(a) = -6*a**2 + 10 + 10*a**2 - 5*a**2 - 8*a. Let z be w(-7). Suppose -2*l - 2*s + 34 = s, -4*s = l - z. Calculate the remainder when 98 is divided by l.
13
Let s = -79435 + 79461. Let t be (8/(-12))/(2/(-57)). Let a = -5 + t. What is the remainder when s is divided by a?
12
Calculate the remainder when -162*1*(45 + -46) is divided by 146.
16
Calculate the remainder when 200/160 + 14166/8 is divided by 48.
44
Suppose 155*p = -5*p + 4*p + 5628480. Calculate the remainder when p is divided by 57.
56
Suppose -2*p - 3*v + 17 = 0, -114 = -4*p + v - 73. Calculate the remainder when 2102 is divided by p.
2
Let m be (3 - 1)/6*6. Let x(v) = -9*v**2 - 2 - m*v + 11*v**2 + v**3 + 4*v**2. What is the remainder when 31 is divided by x(-6)?
1
Let d(h) be the second derivative of -7*h**3/2 - 6*h. Suppose -82 = -3*j - 5*o, -4*j - o = -0*o - 98. Calculate the remainder when d(-2) is divided by j.
18
Suppose 20017*w = 19986*w + 1364. What is the remainder when 131 + (2 - (-2 + 4)) is divided by w?
43
Suppose 432 = 3*r - 3*w, 4*r + 24*w = 23*w + 596. Calculate the remainder when 164 is divided by r.
16
Let r(h) = 2*h**2 - 18*h + 16. Suppose -5*c - 9 = 11, -2*c = -v + 8. Calculate the remainder when 415 is divided by r(v).
15
Let b(r) = -3*r - 43. Let d(a) = -3*a - 44. Let p(i) = 3*b(i) - 4*d(i). Let c be p(14). Suppose c*h - 190 = 84*h. What is the remainder when h is divided by 10?
8
Let v be (-12)/(-9) + 16/6 + -2. Let l be (-392)/42*(-3)/v. Suppose l*i - 196 = 7*i. Calculate the remainder when 52 is divided by i.
24
Suppose 115 = 5*b - 37*n + 32*n, -11*b + 5*n + 277 = 0. What is the remainder when 29617 is divided by b?
25
Suppose 136*q + 27*q = 18*q + 47270. Calculate the remainder when q is divided by 70.
46
Let j(x) be the third derivative of -x**5/60 - 5*x**4/24 + 5*x**3/3 + 3*x**2. What is the remainder when j(-5) is divided by (-1168)/(-192) + (-3)/36?
4
Let i = 4092 - 3960. Calculate the remainder when 280 is divided by i.
16
Let s be (268/402)/(194/(-198) - -1). What is the remainder when 118 is divided by (-6)/2 + 1 + -1 + s?
28
Let r(t) = -2*t**3 - t**2 - 6*t + 3. Let n be r(-4). Let o = n - -24. Calculate the remainder when o is divided by 33.
31
Suppose 0 = 5*k - y + 20, 4*y = 5*k + 5*y + 20. Calculate the remainder when k/72*8 - (-526)/9 is divided by 20.
18
Let p(h) = -h**2 + 52*h + 354. Let f be p(58). Calculate the remainder when 226 is divided by f - (-1 - -14) - -54.
38
Let f = 3824 + -3750. Calculate the remainder when f is divided by ((-4)/14)/(4/(-28)).
0
Let y(w) = 2*w + 2. Let c(s) = s**3 + 6*s**2 + 27*s - 135. Let x be c(6). What is the remainder when 49079/x - (-2)/27 is divided by y(2)?
5
Calculate the remainder when 269/3 + 4/(-6) is divided by 14*((-32)/72 - 3/((-378)/218)).
17
Let y = -36693 - -37337. What is the remainder when y is divided by 21?
14
Suppose 55*h - 36*h + 15*h - 1462 = 0. What is the remainder when 501 is divided by h?
28
Suppose 6*m + 65 + 1141 = 0. Let u(f) = 19*f - 53. What is the remainder when (-1)/3 - m/9 is divided by u(3)?
2
Let b(j) = -3*j + 27. Let i(h) = 45*h + 291. Calculate the remainder when b(-4) is divided by i(-6).
18
Let d = 31847 - 17449. Calculate the remainder when d is divided by 24.
22
Suppose 7 = 3*h + 28. Let s(r) = -24*r - 16. Let l be s(h). Let n = l - 150. What is the remainder when 4 is divided by n?
0
Suppose 2*c = -5*z + 520, -3*z = c - 298 + 36. Calculate the remainder when c is divided by 32.
26
Suppose 0 = -3*s + 6, -2*c = 2*s + 404 + 90. Let w = c - -281. Calculate the remainder when 122 is divided by w.
26
Let s be 77 - (-3 - -5)/((-8)/12). Let m(y) = y + 198. Calculate the remainder when m(0) is divided by (33/2 + -4)*256/s.
38
Let d be (3 + 1)/(-2)*-1. Suppose -2*m = -4*v - 34, 6*v + 80 = 4*m + d*v. Let g = m - 20. Calculate the remainder when 13 is divided by g.
1
Suppose -3*m + 34 = -8*y + 12*y, y + 59 = 3*m. Calculate the remainder when 4902/266 + (-2 - m/(-7)) is divided by 12.
7
Suppose -5*p + i = -189, 0*p - 75 = -2*p + i. What is the remainder when (17/(-15) - -1 - 78596/(-420)) + 0 is divided by p?
35
Let j(v) = -v**2 + 12*v + 32. Let t be j(15). What is the remainder when 31/((78/(-72))/t) is divided by 34?
32
Let o = -55 - -79. Let s(a) = -3*a - 17. What is the remainder when s(-14) is divided by o?
1
Let g(m) = 33*m + 63. What is the remainder when 2769 is divided by g(0)?
60
Let a(s) = -s**3 - 115*s**2 + 468*s - 316. Calculate the remainder when a(-119) is divided by 619.
17
Suppose -10*h + 56 = -34. Calculate the remainder when (46/h)/((-2)/(-18)) is divided by 24.
22
What is the remainder when (33/(-6))/(11/(-3256)) is divided by 51?
47
Let l = 16 + -5. Calculate the remainder when 94 is divided by l.
6
Let q(k) = 11*k + 429. Calculate the remainder when q(-12) is divided by 24.
9
Suppose -364 = 38*y - 24*y. Calculate the remainder when ((-78)/(-6))/y*740/(-2) is divided by 50.
35
Suppose -3*g - 71 = -4*g. Suppose -151 = -13*z - 21. Suppose 0 = z*s - 7*s - 54. Calculate the remainder when g is divided by s.
17
Suppose -2*b + 5 = -197. Let s(w) = w**2 + 4*w - 13. Let h be s(-6). What is the remainder when b is divided by (40 - -12)/(-1*(-3 - h))?
23
Suppose -49*y = -62*y + 624. What is the remainder when 767 is divided by y?
47
Suppose 4542 = 102*x - 6422 - 3010. What is the remainder when 828 is divided by x?
6
Suppose -2096 = -7*m - 227. Suppose 36*b - 489 = m. Calculate the remainder when 29 is divided by b.
8
Suppose -3*c + 5*d = -460, c = 4*d - 3*d + 152. Suppose 0 = -a - 4*a + c. Calculate the remainder when -3 + 61 - (1 + -1) is divided by a.
28
Suppose 10*v - 5 = 115. Suppose 7*a = v + 9. Calculate the remainder when 4 is divided by a.
1
Let i = 4029 - -2547. Calculate the remainder when i is divided by 253.
251
Let t(u) = 128 - 59 + 9*u - 47 + u**2. What is the remainder when 279 is divided by t(-7)?
7
Let m(u) = u**2 - 24*u - 22. Let o be m(26). Suppose -15*w + o = -9*w. Calculate the remainder when 138 is divided by w.
3
Suppose 5*y = 78 + 7. Suppose -269 = y*x - 1000. Calculate the remainder when 111 is divided by x.
25
Suppose r = 5*r - 236. Suppose -49 - r = -2*t. Calculate the remainder when 159 is divided by t.
51
Let t = -3 + -130. Suppose 4*o = 3*c + 256, -19*c + 72 = -20*c + 4*o. Let f = c - t. What is the remainder when 115 is divided by f?
33
Let a(o) = -o**3 - 81*o**2 + 244*o - 483. Calculate the remainder when 3212 is divided by a(-84).
188
Let z(m) = 8*m. Suppose -115*d + 11843 + 7116 = -6571. Calculate the remainder when d is divided by z(2).
14
Let t(l) = l - 25. Let g be t(26). Calculate the remainder when 330/(6/(3/g)) is divided by 57.
51
Suppose -4*u + 4*t + 268 = -0*u