o*n + 12 = 0. Suppose 2*c = -7*c + 35 + 37. Calculate the remainder when c is divided by n.
2
What is the remainder when 649 is divided by (35/(-20) + (-4326)/56)*(1 - 2)?
17
Suppose 55*d = 52*d, -4*u = 4*d - 4452. Calculate the remainder when u is divided by 18.
15
Let m(p) = 20*p**2 + p + 1. Let s be m(-2). Suppose k - s = -9. Calculate the remainder when k is divided by 19.
13
Let l(y) = -2*y**2 - 21*y - 12. Let p = -54 + 46. Calculate the remainder when 81 is divided by l(p).
25
Let r(q) = -q**3 + 4*q**2 + 3*q. Let l(v) = 6*v + 5. Let d(u) = -2*u**3 - 3*u**2 - 6*u - 9. Let p be d(-2). What is the remainder when l(p) is divided by r(4)?
11
Suppose 0 = 42*j - 311 - 67. Suppose 4*q - 14 = h, -4*q + 14 = -2*q - 4*h. Suppose -7*r + 56 = -q*r. Calculate the remainder when r is divided by j.
5
Let i(f) = f**2 - 18*f + 71. Let c = -599 - -612. Calculate the remainder when 10 is divided by i(c).
4
Let h = -8065 + 8421. What is the remainder when h is divided by 21?
20
Let o = 5754 + -4695. What is the remainder when o is divided by 270?
249
Let v(u) = 6*u**2 + 5*u - 2. Suppose 3*q = -17 - 1. Let k(g) = g**3 + 7*g**2 + 4*g - 10. Let f be k(q). Calculate the remainder when v(f) is divided by 19.
13
Let h(b) be the first derivative of -b**3/3 + b**2/2 + 4*b - 2. Calculate the remainder when 6800/(-1632)*(-12)/5 is divided by h(0).
2
Let w(b) = b**3 - 11*b**2 + 45*b - 19. Calculate the remainder when 242 is divided by w(6).
29
Let m = 9 - 7. Suppose -2 = -3*g + 7, -3*g + 37 = 4*c. Suppose -2*q - m*w = -120, 3*w = 2*q + c*w - 120. What is the remainder when q is divided by 32?
28
Suppose -136*y + 151*y - 25485 = 0. What is the remainder when y is divided by 132?
115
Suppose h + h - 1342 = 5*n, n = 3*h - 271. Let a = -230 - n. What is the remainder when 115 is divided by a?
1
Let w = -317 - -479. Suppose 5*n + 2*u = -257, u - 1 = 3*n + w. Let l = n + 69. Calculate the remainder when l is divided by 9.
7
Let o be (4/(-20))/((-2)/10). Let c(r) = 21*r - 2. Calculate the remainder when 54/(9/12*2) is divided by c(o).
17
Calculate the remainder when (-1*1)/(-12 - (-45459)/3789) is divided by (((-470)/6)/5)/(4/(-12)).
45
Suppose 3*u - 15*u - 61750 = -37*u. Calculate the remainder when u is divided by 155.
145
Let f = 15 - 27. Let c = f + 28. Calculate the remainder when -1*(-76 + 9/(-3)) is divided by c.
15
Let h = -50743 + 50942. Calculate the remainder when h is divided by ((-150)/9)/(1/(-3)).
49
Suppose -2*c - 149 = -5*o, -3*c = 3*o - 140 + 17. Suppose -b = -0*b + k - 43, -b - 2*k = -44. Calculate the remainder when b is divided by o.
9
Suppose 3*f - 195 = 4*d + 1373, 5*f - 5*d = 2615. What is the remainder when f is divided by 131?
0
Let z(w) = -5*w**3 - 6 - 7*w**3 + w**3 + 3*w**2 + 16*w**3 + w - 2*w**3. What is the remainder when 798 is divided by z(2)?
30
Suppose -5*y - t = 99, 0*t - 3*t = 4*y + 77. Let l = -183 + 315. Calculate the remainder when l is divided by y/(-30) + -25*(-4)/3.
30
Suppose 0 = 5*x + 3*d - 1, 0 = -3*x - d + 4*d - 9. Let j be ((-280)/80)/(x - (-1)/2). Calculate the remainder when 34 + 1 + j/(-7) is divided by 6.
4
Suppose 27*c = -368*c - 262*c + 26280. Let v(r) = -r**3 + 8*r**2 + 4*r - 3. Calculate the remainder when v(-6) is divided by c.
37
Let h = -31732 - -33337. Calculate the remainder when h is divided by 345.
225
Suppose 12*b = 50*b - 2470. Calculate the remainder when 187 is divided by b.
57
Suppose -92*c + 167*c + 693 = 82*c. What is the remainder when 343 is divided by c?
46
Suppose -7*n = -14*n + 21. Suppose -304 = -5*y - 0*y + n*t, 10 = 5*t. Suppose 5*w - 26 = 3*w. Calculate the remainder when y is divided by w.
10
Let v = 1 + 2. Let c(u) = -17*u - 93. Let m be c(10). Let r = m - -276. What is the remainder when r is divided by v?
1
Let h be (-2 - -7)*182/35. Let d = 26 - h. Suppose d = -10*a + 6*a + 156. What is the remainder when a is divided by 10?
9
What is the remainder when 147 is divided by 34 - -1 - (4 - (17 + -9))?
30
Suppose 4*g - 5*n - 7 = 6, -5 = 5*n. Let v(o) = 11*o + 9. Let k be v(15). Calculate the remainder when k/21 - (-8)/(-28) is divided by g.
0
Suppose 33600 = 205*t + 5*t. Calculate the remainder when t is divided by 4.
0
Let o(n) = -46*n + 275. Let k be o(11). Let q = k - -250. What is the remainder when 47 is divided by q?
9
Suppose -3*x = 2*j - 56, 0 = -0*j + 4*j - 4*x - 112. Let c = j - 31. What is the remainder when 14 is divided by 1/c - (-26)/6?
2
Suppose 4*i + 5*v - 3324 = 0, 4*i - 1974 = 5*v + 1310. Calculate the remainder when i is divided by 46.
44
Let y(z) = -z**3 - 18*z**2 - 58*z - 19. Let g be y(-14). Suppose 64 + 80 = g*n. Calculate the remainder when 574 is divided by n.
14
Let n(r) = r**3 - 49*r**2 - 4*r + 319. Calculate the remainder when n(49) is divided by 51.
21
Suppose 0 = -j + 13 + 15. Suppose -5*c = -12*c + j. Suppose 2*x = 0, 0 = -c*m - 3*x + 146 - 18. Calculate the remainder when 157 is divided by m.
29
Let u be 3 - (-3)/(3/2). Suppose -12 = -u*k - 3*i, -5*k - 8 = 5*i - 28. Let h(l) = 3*l**2 + l + 13. Calculate the remainder when 37 is divided by h(k).
11
Let m(a) = a**2 - 17*a + 36. Let t be m(20). What is the remainder when 122 is divided by (-573)/(-18) + 16/t?
26
Let g = 2965 + -2936. What is the remainder when 33202 is divided by g?
26
Let y = -250872 + 251005. Suppose -6*n = -2*n - 4. What is the remainder when y is divided by (15/(-1))/(n/(-3))?
43
Let q = 8322 - 8306. What is the remainder when 25 is divided by q?
9
Let t(h) = 17*h**3 - h**2 + 5*h - 10. Calculate the remainder when t(3) is divided by 59.
42
Let c = 8402 + -8218. Calculate the remainder when 533 is divided by c.
165
Suppose 54 = r - 8*d + 3*d, -2*d = 5*r - 243. Suppose -4*n = n - c - 49, 2*n - 5*c = 15. What is the remainder when r is divided by n?
9
What is the remainder when ((-11809)/(-14) + 5)*2 is divided by 27?
23
Let z = 1316 + -507. Suppose -5*m - 4*j = -865, 5*m = 4*j + z + 96. Calculate the remainder when m is divided by 9.
6
Suppose -5729 - 6726 = -5*r. What is the remainder when r is divided by 4?
3
Let h(k) = -7*k**2 + 185*k - 670. What is the remainder when 352 is divided by h(20)?
122
Let t be 67*(-34)/(-6) + 16/(-24). Let d = t - 277. Suppose -5*h = -3*g + 39, -h - 23 - 42 = -5*g. What is the remainder when d is divided by g?
11
Let f = -15 - -17. Suppose -4 = -x + f. Suppose x*o - 8*o = -54. Calculate the remainder when 80 is divided by o.
26
Let t = 42 - 24. Suppose 27*k = 10227 - 9417. What is the remainder when k is divided by t?
12
Let k(q) = -q - 3. Let o be k(-6). Suppose 0 = -5*n - o + 143. Let a(h) = -7*h**3 + 9*h**2 + 6*h + 2. Calculate the remainder when a(-2) is divided by n.
26
Let f(v) = v**2 - 2*v + 21. Let j be (6 - 7)/((-2)/10). What is the remainder when f(j) is divided by -6*(2 + 11/(-3))?
6
Suppose -c = 5*k - 16, -4 = -4*c - 7*k + 2*k. What is the remainder when (6/(-9) - 2)*(-1 - 11) is divided by (-4 - (1 + c))*-17?
15
Let i(r) = 10*r**2 - r - 4. Let z = 97 + -93. Let g be (z + -3)/(7/14). Calculate the remainder when 101 is divided by i(g).
33
Let i = -154 + 180. Suppose -9*y + i*y - 272 = 0. What is the remainder when 58 is divided by y?
10
Suppose -3*a - 612 = -6*a. Let c = -6757 - -6798. Calculate the remainder when a is divided by c.
40
Let q be (-10 + 11)*5/((-10)/(-4)). Suppose -4*d + q*n = -105 + 23, -d + 3*n = -18. What is the remainder when 51 is divided by d?
9
Let b(p) = -p**3 + 4*p**2 + 15*p - 18. Let u be b(6). Suppose u = -2*v + 122 - 108. What is the remainder when 7 is divided by v?
0
Suppose -4*n - 2 = m - 100, 0 = 3*n + 5*m - 116. Suppose 4*j = -4*u + 2532, -2*u + 3*j = 2*u - 2553. What is the remainder when u is divided by n?
20
Suppose 12*g = -15*g - 946 + 3376. What is the remainder when g is divided by 46?
44
Let p(r) = 3*r**2 + 922*r + 6409. Calculate the remainder when 407 is divided by p(-7).
101
Let g = 38 + -4. Let i(z) = -2*z**3 + 30*z**2 - 4*z + 58. Let r be i(15). Let d(l) = l**3 - 2*l**2 - 13*l - 1. What is the remainder when g is divided by d(r)?
7
Let j(x) = -113*x - 61. Let q be j(-5). Suppose 7*c = -c + q. Calculate the remainder when 248 is divided by c.
59
Let l(s) be the first derivative of -s**4/4 + 8*s**3/3 - 4*s**2 + 14*s + 139. Calculate the remainder when 31 is divided by l(7).
3
Suppose -8 = -2*a - 4*v, -5*a - 4*v = 