 -7*r - 216. Let w = r - -28. What is the remainder when 23 is divided by w?
1
Calculate the remainder when 235 + 5 - (-3 - 0) is divided by 3*(-2)/(-6)*41.
38
Suppose 32 - 239 = -5*z - k, -133 = -3*z - 5*k. What is the remainder when z is divided by 23?
18
Let u = -19214 + 19263. What is the remainder when 1846 is divided by u?
33
Let m = -86 + 194. Suppose 9*n = 3*n + m. What is the remainder when (-72)/(-162) + 892/18 is divided by n?
14
Suppose -678 = -2*v + 2*r, v - 1362 = -3*v - 2*r. Calculate the remainder when v is divided by 144.
52
Suppose -24*u + 284 + 13 = -183. What is the remainder when 3878 is divided by u?
18
Let y be (-1 - (-9)/(-3) - -91) + 1. Suppose 82*a - 93*a = -y. What is the remainder when 31 is divided by a?
7
Let y = -450 - -461. Calculate the remainder when 1118 is divided by y.
7
Let p = 26807 + -25686. What is the remainder when p is divided by 45?
41
Let o be (2/3)/((-2)/(-489)). Suppose 50 + o = 3*m. Let r(u) = u**3 - 10*u**2 - 4*u - 52. Calculate the remainder when m is divided by r(11).
21
Suppose 1641 - 219 = 6*u. Let y(z) = -z**3 - 5*z**2 - 9*z. Let d be y(-6). Let w = u - d. Calculate the remainder when w is divided by 15.
12
Let x be 36/10 + 18/45. Suppose 5*s = x*y - 11, -5*y + s = 3*s - 55. Calculate the remainder when 67 is divided by y.
4
Let w(v) = v**2 - 21*v + 182. Calculate the remainder when 2868 is divided by w(9).
56
Let y = -349 + 448. Let t = 2 + -6. Let a = t - -29. What is the remainder when y is divided by a?
24
Suppose -4*c = c + 90. Calculate the remainder when ((-24)/c)/((-4)/(-186)) is divided by ((-70)/(-50) + 184/(-10))/(-1).
11
Suppose 0 = -4*a + 11*a - 259. Let k(c) = -56*c**3 + c**2 + 8*c + 6. Calculate the remainder when k(-2) is divided by a.
35
What is the remainder when 126*(-28)/(-8) - (-13 + 8) is divided by 47?
23
Suppose 21*n + 50 = 2705 + 4023. What is the remainder when 325 is divided by n?
7
Let c(w) = w**3 + 9*w**2 + 8*w + 4. Suppose -783*v + 10293 = -69*v - 7557. Calculate the remainder when c(-7) is divided by v.
21
Suppose -2*n - 5*d + 6879 = -4910, -2*n + 11733 = -3*d. Calculate the remainder when n is divided by 140.
137
Suppose 0 = -148*s + 4*s + 10*s + 9112. Suppose -5*c + 940 = 3*o, -3*o = -2*c - o + 376. What is the remainder when c is divided by s?
52
Suppose -44 = -5*g + g. Calculate the remainder when (-4734)/(-4)*(-3024)/(-13608) is divided by g.
10
Let k = 86 - 85. Let s = -7 - -18. Calculate the remainder when 43/((-12)/18 + k) is divided by s.
8
Let k(n) = n**2 - 7*n + 6. Suppose -p = m - 14, -3*m + 2 = -2*p + p. Let i be k(p). Let s = i - 15. What is the remainder when s is divided by 6?
3
Let x = -1915 - -1944. What is the remainder when 46 is divided by x?
17
Let k = 1978 - 1887. Calculate the remainder when 456 is divided by k.
1
Suppose 7*i - 9 = 5. Suppose i*a - 40 = -3*s + a, 2 = -a. What is the remainder when (-54)/(-2 - 0) + 21 + -21 is divided by s?
13
Let o(s) = s**2 - 12*s - 19. Let x be (2/6*-4)/(4/12). Let m be (x + (-48)/9)*3/(-2). What is the remainder when 25 is divided by o(m)?
7
What is the remainder when (6 + 20/(-3))/(9/((-14796)/8)) is divided by 45?
2
Suppose -16*i = -2*r - 8*i + 1014, 0 = r - 2*i - 517. Calculate the remainder when r is divided by 128.
15
Suppose -17*g - 7052 = -126*g - 63*g. What is the remainder when 132 is divided by g?
9
Suppose 2*q - 33 = -q - 3*i, -22 = -2*q + 4*i. Let v(n) = -3*n + 72. What is the remainder when v(q) is divided by 9?
3
Suppose -20*w = -1307 - 1673. What is the remainder when w is divided by 22 + (0/1 - -3)?
24
Let k(h) = h**3 + 8*h**2 + 10*h - 8. Let w = 86 + -92. What is the remainder when (0 - 0) + 24 + -5 is divided by k(w)?
3
Suppose -4*c - 85 = -2*g + 277, 0 = -g + 3*c + 185. What is the remainder when g is divided by (2/(-4))/((-10514)/700 - -15)?
23
Suppose 0 = -2*n - 23 + 129. Let h = 42 + -92. Calculate the remainder when n is divided by h/20*24/(-5).
5
Let y(r) = -414*r - 1985. What is the remainder when 103 is divided by y(-5)?
18
Let u be (32/12 + (-5 - -2))*-12. Suppose 71 = u*j + 5*q, -j + 2*q + 4 + 4 = 0. Let d(s) = 4*s**2 + s + 1. What is the remainder when j is divided by d(-1)?
2
Calculate the remainder when (-5)/(-6) - (31/155)/(24/(-18740)) is divided by 33.
25
Suppose 35851 = -14*p + 38343. Calculate the remainder when 350 is divided by p.
172
Let n(w) = -w**3 - 3*w**2 + 170*w - 16. Calculate the remainder when 578 is divided by n(11).
98
Suppose 0 = 6*i + 1894 + 2222. What is the remainder when (-5)/(-2)*(1 - -5) is divided by i/(-147)*(36/7)/3?
7
Calculate the remainder when 524 is divided by (13 + 2)/(715/175 + -4).
174
What is the remainder when 405 is divided by (-20)/9*14193/(-166)?
25
Suppose -4*m = -13*m - 4*m. Suppose m = -p - 3*p - 3*x + 67, 0 = -5*p + x + 60. Calculate the remainder when 233 is divided by p.
12
Let s = -859 + 895. Calculate the remainder when 1833 is divided by s.
33
Let q(a) = a**2 + 2*a. Let s be q(5). Let l = -234 - -324. Let h = l - s. Calculate the remainder when h is divided by 7.
6
What is the remainder when 79 is divided by (-3)/27 - (-15336)/243?
16
Let s be (28/1)/4 + 226. Suppose 0 = -3*z + s - 170. What is the remainder when 70 is divided by z?
7
Let n(w) = -18*w**3 + 11*w**2 - 2*w - 3. Calculate the remainder when n(-2) is divided by 63.
0
Suppose f + 25 = -4*f, 5*q - f = 15. Suppose q*u = -3*b - 35, 5*b - 2*b = -4*u - 55. Let n = 10 - u. Calculate the remainder when 53 is divided by n.
13
Let p(c) = 7*c**3 - 5*c**2 + 14*c - 11. Let y be p(3). Suppose y = 6*h - 233. Suppose 37 = t + 14. What is the remainder when h is divided by t?
22
Suppose -6984 + 4785 + 61853 = 7*z. Calculate the remainder when z is divided by 208.
202
Let d = -39 + 64. Let p = d + -31. Calculate the remainder when 72 is divided by 5 - 8 - p*(5 - 2).
12
Let q(z) = 1 + 2*z**3 + 5*z**2 - z**3 + 1 - 14*z - 3. Suppose 0*u + 2*u + 34 = 2*h, -3*h + 2*u + 46 = 0. Calculate the remainder when q(3) is divided by h.
5
Suppose -5*y + 2*l - 293 = -808, l - 5 = 0. What is the remainder when y is divided by 41?
23
Suppose 718 - 174 = 98*r - 64*r. Let x(c) = -59*c**3 - c**2 - c - 1. What is the remainder when x(-1) is divided by r?
10
Suppose 2*f = -2*g - 409 + 2479, -2*f + 5169 = 5*g. What is the remainder when g is divided by 343?
4
Let h(q) = -q + 8. Let n be h(6). Suppose -3*d - n*l = -144, -5*d + 7*l = 2*l - 265. Let a = -152 - -163. Calculate the remainder when d is divided by a.
6
Suppose 1430 = -873*t + 886*t. What is the remainder when 1755 is divided by t?
105
Let z(j) = -1794*j - 14153. What is the remainder when z(-9) is divided by 494?
17
Let y be 0/(-1)*(1 + 5 - 7). Suppose o = 1, y = 4*r - 4*o + 53 - 281. Let a = 105 - r. What is the remainder when a is divided by 24?
23
Suppose -1388 = 209*k - 213*k. What is the remainder when k is divided by 107?
26
Calculate the remainder when 74*(6 + 1134/12) is divided by 15.
12
Suppose 0 = -20*l + 22*l - 6. Let k(y) = -y**2 - 7*y - 1. Let f be k(-6). Suppose l*r - f = 1. What is the remainder when 2 is divided by r?
0
Suppose 3*h - 3217 = -739. Suppose -3*r = -4*k - h, 2*r + 6*k - 10*k = 552. Calculate the remainder when r is divided by 25.
24
Suppose -4*n + 27*t + 1020 = 25*t, 4*n + 2*t = 1044. Suppose 0 = -4*o + o - 4*i + 164, 0 = -o + 2*i + 48. What is the remainder when n is divided by o?
50
Let l(q) = -q**3 + 78*q**2 - 69*q - 537. Calculate the remainder when 395 is divided by l(77).
0
Let u(a) = 79*a - 7160. Calculate the remainder when u(94) is divided by 5*-18*(-1)/10.
5
Suppose 20 = 7*d - 2*d. Let w be (12/42)/((-1)/(-14)). Suppose d*h + w = c, 0*h - 5*h + 100 = 4*c. Calculate the remainder when c is divided by 9.
2
Let s(a) = -a**3 - 2*a**2 + 4*a - 3. Let w be s(2). Let j = w - -24. Let y(z) = -z**3 - 7*z**2 - 6*z + 8. What is the remainder when j is divided by y(-6)?
5
Let t = -4124 - -4137. What is the remainder when 476 is divided by t?
8
Let r(b) = -b**3 + 13*b**2 - 9*b + 31. Let c be r(7). Let v = -247 + c. Calculate the remainder when 115 is divided by v.
10
Let x be 3/(-2) - (-91)/14. Suppose 0 = -v - x*k + 50, -4*v = k - 162. What is the remainder when v is divided by 24?
16
Let w(l) = 12*l**3 + 72*l**2 - 42*l - 241. What is the remainder when 916 is divided by w(-6)?
3
Suppose 995*r = 994*r + 138.