s divided by k.
68
Suppose -g - 4 = 0, 3*q + 0*g = -2*g + 277. Let x = q + -90. Calculate the remainder when (-178)/(-8) - 1/4 is divided by x.
2
Let c = 9316 - 9248. Calculate the remainder when c is divided by 5.
3
Suppose 4408 = 71*z + 5*z. Let k = 241 - 165. Suppose 7 - k = -3*h. Calculate the remainder when z is divided by h.
12
Let n be 4 + 115/(-30) + (-19)/6. Let t(d) = 3*d**2 + 11*d + 19. What is the remainder when t(n) is divided by 5?
3
Suppose -11*f = 19*f + f - 22041. Calculate the remainder when f is divided by 42.
39
Let y be (-9)/(-3) + (7 - (-2032)/8). Suppose -261*g = -y*g + 672. What is the remainder when g is divided by 4?
0
Let x = 2365 - 2356. Suppose -9 = -2*h - 3. Suppose 0 = -i - h + 18. Calculate the remainder when i is divided by x.
6
Suppose 14099 = 2*s - 10951. Suppose -9*r = -34*r + s. What is the remainder when r is divided by 72?
69
What is the remainder when 7 + 6 + 644 + -5 is divided by 176?
124
Calculate the remainder when 68 is divided by (-4)/(286/(-117) - -2).
5
Let j be 0 - -1 - (-4 + 2). Let o(k) = -3 + 2*k**j - 11*k + 29*k**2 - 31 + 3 - 4*k**3. What is the remainder when 42 is divided by o(14)?
9
Let d = -14857 + 16159. Calculate the remainder when d is divided by 57.
48
Let a(d) = -d**3 - 11*d**2 - 11*d - 9. Let b be a(-10). Let v(n) = 8*n**2 + 8*n - 9. Calculate the remainder when 90 is divided by v(b).
6
Suppose -4*p + 6*p - 236 = -0*p. Calculate the remainder when 180 is divided by p.
62
Suppose 832*m - 417*m - 675 = 390*m. What is the remainder when (3 - -2)*106/5 is divided by m?
25
Suppose 21*m - 20*m = 5. Suppose -3 = a - 30. Let x = -23 + a. Calculate the remainder when m is divided by x.
1
Let m(j) = -136*j - 1203. Calculate the remainder when 250 is divided by m(-10).
93
Suppose -7*o - 6*o = -1157. Let x = -25 + o. Calculate the remainder when x is divided by 18.
10
Suppose 17 = 2*v - 13. Let r = 981 + -803. Calculate the remainder when r is divided by v.
13
Suppose -8*d = -2*d - 414. Suppose -1904 = -5*z - 2*z. What is the remainder when z is divided by d?
65
Let q(s) = -90*s - 2050. Calculate the remainder when q(-48) is divided by 69.
62
Let b = 585 - 324. Let r = 408 - b. Suppose -g - 3*z + 22 = 0, -3*g - g + 97 = 3*z. What is the remainder when r is divided by g?
22
Let t = -281 + 287. Suppose 4*l - 53 = 111. Suppose t*j - 155 = -l. Calculate the remainder when 87 is divided by j.
11
Suppose 0 = 24*r - 20*r - 144. Let o(d) be the third derivative of d**5/60 + d**4/12 + 5*d**3/6 + 12*d**2. Calculate the remainder when o(9) is divided by r.
32
Let f = -61 + 61. Let a(d) = f*d**2 - 1 + 0 + 2 + 3*d**2. Calculate the remainder when a(2) is divided by 4.
1
Let h(s) = 6*s**2 + s + 1. Let n be h(2). Suppose 0 = 5*r - n - 13. Suppose 2*f - 8 = -p, r*f - p = 9*f - 6. What is the remainder when 11 is divided by f?
1
Suppose 3*v - 4*g - 1707 = 0, -v = 4*g - 7*g - 574. Suppose -338 = r - 4*r + 4*b, -5*b = -5*r + v. What is the remainder when r is divided by 29?
27
Let s = -10 + -55. What is the remainder when (25 - 22)*128/(-18)*-6 is divided by s*(2 + (-36)/15)?
24
Let i(k) = 30*k. Let l be i(5). Suppose -3*j + 3*o = 2*j + l, j - 5*o + 8 = 0. Let h = -30 - j. What is the remainder when h is divided by 2?
1
Suppose -15*g - 39 = -1464. Let a = g + 4. What is the remainder when a is divided by 22?
11
Let g(z) = -z**2 + 112*z - 1749. Calculate the remainder when 61 is divided by g(19).
7
Suppose -3534*d = -3528*d - 282. What is the remainder when 2438 is divided by d?
41
Let h = 12373 - 12008. Calculate the remainder when h is divided by 109.
38
Suppose -p + 2*z + 16 = 0, 4*p + 3*z + z - 64 = 0. Suppose k + 13 - p = 0. Calculate the remainder when ((-12)/(-10))/((-6)/(-160)) is divided by k.
2
Suppose 726*i = 712*i + 1170 + 7874. What is the remainder when i is divided by 13?
9
Let g(r) = 264*r**2 + 448*r - 2206. Calculate the remainder when g(5) is divided by 2210.
4
Suppose 3*c + 3012 = 4*y, 3*y + 4*c = 2008 + 226. Let t = y - 391. What is the remainder when t is divided by 72?
71
Suppose 17*l + 5*i = 15*l + 2455, -2*l = 2*i - 2428. Calculate the remainder when l is divided by 52.
9
Suppose 5*w + 98*p - 106 = 94*p, -w + 4*p = -26. Calculate the remainder when 1054 is divided by w.
20
Let y(k) = -35 + 11*k + 36 + 99 + 11*k. What is the remainder when 133 is divided by y(-3)?
31
Suppose 211 = -4*k - 5*s - 81, -3*k = 2*s + 219. Suppose -4*f = -3*w - 307, -6*w - 5 = -w. Let u = k + f. Calculate the remainder when 30 is divided by u.
0
Let n(s) = -10*s**3 + s**2 + s + 1. Suppose 64146 = 8*i + 64050. Calculate the remainder when n(-2) is divided by i.
11
Calculate the remainder when 18416 + (0 + -21)*(5 - 333/63) is divided by 83.
79
Suppose 77*z = -774 - 8405 + 87103. Calculate the remainder when z is divided by 13.
11
Let h(q) = 1 + q + 3*q**3 - 9 + 7 + 3 - q**2. Let c be h(-1). Let n(d) = 9*d**2 - 5*d + 2. Calculate the remainder when n(c) is divided by 50.
48
Let n = -149 - -640. Calculate the remainder when n is divided by 650/52 - 9/(-6) - -5.
16
Suppose 3*c = -2*j + 16, 5*c - 4*c = 3*j - 2. Suppose 0 = -c*z + z - 6, 2*s = 3*z + 52. Calculate the remainder when 132 is divided by s.
17
Suppose -4*h = 2*q - 44, -80 = -4*q + h + 17. Suppose -18*f - 440 = -22*f. What is the remainder when f is divided by q?
14
Suppose 0 = -2*f - 16 + 104. Suppose 0 = 8*h - 4 - f. Suppose 0 = c + 9*c - 340. What is the remainder when c is divided by h?
4
Suppose -5*m + 3*l - 126 = -8*m, 0 = 5*m - 3*l - 234. Suppose 0 = 34*c - 35*c + 13. Calculate the remainder when m is divided by c.
6
Let j = 9 - -16. Let n(i) = -20*i - 865. What is the remainder when n(-46) is divided by j?
5
Let j(n) = -378*n - 190. What is the remainder when j(-4) is divided by 148?
138
Suppose 0 = -11*l - 360 + 143 + 5684. Calculate the remainder when l is divided by 13.
3
Suppose 15 = -2*y + 5*v, y + 3 = -2*v + 18. Suppose 4*c + 3*a - 227 = 0, 4*c + y*a - 201 = 36. What is the remainder when 205 is divided by c?
46
Let i be (-73)/(-3) - 3/9. Let s be 2*(-116)/i*-3. Suppose 22*r + 245 = s*r. Calculate the remainder when 174 is divided by r.
34
Let d(n) = 3*n + 20. Let i be d(-8). Let u(r) = r**2 + 3*r + 6. What is the remainder when ((-36)/(-10))/((8/(-15))/i) is divided by u(-4)?
7
Let f(h) = -4*h + 30. Let d be f(6). Calculate the remainder when (-1 - 9/4)*-4 is divided by (d - 336/54) + (-56)/(-9).
1
Let a = -99 + 99. Suppose 3*u + 497 = t, 3*u + a*t = 5*t - 493. Let s = 305 + u. What is the remainder when s is divided by 48?
43
Let i = 41 - 41. Let v be (-44)/(-3) + i + 16/12. Suppose -v*o + 188 = -12*o. What is the remainder when 92 is divided by o?
45
Let b(c) = c**3 + 8*c**2 - 9*c + 2. Let y be b(-9). What is the remainder when (-7)/(-6)*(10 + -4) is divided by 3/y*(4 - 2)?
1
Suppose -24*w + 23*w = -4*o - 93, w + 2*o = 81. What is the remainder when 102 is divided by w?
17
Let j(c) = 5*c + 2. Let x(u) = -u**3 - 4*u**2 + 11*u + 26. Let k be x(-5). What is the remainder when k/18 + 2/(-27)*-1029 is divided by j(5)?
22
Suppose 9*g + 397 = 3*o + 4*g, 0 = 2*o - 2*g - 262. Calculate the remainder when o is divided by 52/(6 - (1 - -3)).
25
Calculate the remainder when 92 is divided by (2/3)/((140/375)/14).
17
Suppose -5*t + 3*o = -29, -5*t + 5*o - 8 = -33. Let p be (2 - (-3 + 0)) + -1. Let r(f) = f**2 + 7*f - 17. Calculate the remainder when r(p) is divided by t.
6
Let o = -115 + 120. Suppose o*t + 0*t - 205 = 0. What is the remainder when 201 is divided by t?
37
Suppose 1476*g - 1480*g = -376. Let k = 307 - 214. Suppose -8 = k*w - g*w. What is the remainder when w is divided by 3?
2
Calculate the remainder when 822 is divided by 11424/(-1008)*(1 - -2)/((-2)/12).
6
Suppose -2*j - 5*l - 11 = -j, 4*l + 24 = 3*j. Suppose -71 + 11 = -j*n. Calculate the remainder when 32 is divided by 5/n*21 - -2.
5
Let i(f) = 100*f**2 + 29*f - 52. What is the remainder when i(2) is divided by 144?
118
Let r(h) = -h**3 + 17*h**2 + 20*h - 32. Let q be r(18). Suppose -8*t = -q*t - 1252. What is the remainder when t is divided by 35?
33
Suppose -41*i - 994 + 6611 = 0. What is the remainder when 429 is divided by i?
18
Let a(s) = s**2 + 8*s + 10. Let u = -28 - -36. Suppose u*j - 176 = 120. Calculate the remainder when j is divided by a(-9).
18
Suppose 5*s - 209*s = 178*s