
Suppose 5*k + 3*m = 1 + 18, 0 = 5*k + 2*m - 21. Let j(c) = 6*c + 3. Let g = -2875 - -2940. Calculate the remainder when g is divided by j(k).
32
Let n(x) = 2*x**2 - 42*x - 533. Calculate the remainder when 1047 is divided by n(30).
4
Suppose 1365 = 2*z + 1331. Calculate the remainder when 117 is divided by z.
15
Suppose -5*y - 5*g + 0*g = -455, -5*g = 5. Suppose 27 = -89*w + y*w. Calculate the remainder when 96 is divided by w.
6
Suppose 134*h = 201*h - 2881. Calculate the remainder when 56542 is divided by h.
40
Suppose 207*s + 209 = 226*s. Suppose 8*i - s*i - 231 = -3*y, -5*i = -15. Calculate the remainder when y is divided by 30.
20
Let x = 25 - 13. Suppose 0 = -2*d - 5*r - 2 - 5, 2*r = -d - 2. Suppose 5 = j + 5*g, -j - d*g = 4 - 9. Calculate the remainder when x is divided by j.
2
Let p(c) be the second derivative of 2*c**3/3 + 19*c**2/2 - 5*c - 1. Let i = 11 - 11. Calculate the remainder when 75 is divided by p(i).
18
Suppose 12*x - 10*x - 34 = 0. Suppose 0 = 20*r - x*r - 39. Suppose 5*q = 257 + 43. Calculate the remainder when q is divided by r.
8
Let b = 5328 - 4487. What is the remainder when b is divided by 411?
19
Let j(p) = 1. Let u(v) = v + 109. Let c(y) = 2*j(y) + u(y). Calculate the remainder when c(-23) is divided by 13.
10
Suppose 20*n = 1734 - 631 + 2317. Calculate the remainder when n is divided by 8.
3
Suppose 3*m = -4*a + a - 39, -5*m = 2*a + 29. Calculate the remainder when 234 + a*(-2)/(-4) is divided by 79.
70
Let q(k) = 5*k**2 + 2*k + 5. Let p be q(-3). Let j = p + -20. Let y = j + -1. Calculate the remainder when y is divided by 9.
5
Let p = -26392 + 27020. What is the remainder when 648 is divided by p?
20
Suppose 6*t = -64 + 34. Let i be 4/(-3)*18/12. Calculate the remainder when 55 is divided by (3 + t/(-3))/(i/(-3)).
6
Suppose 6*z = -5*g + 160, -10 = 42*g - 47*g. Calculate the remainder when 369 is divided by z.
19
Let w(s) = -s**2 - 8*s - 11. Let l be w(-4). Suppose z - l = 1. What is the remainder when 15 is divided by z?
3
Let w(z) be the second derivative of z**5/20 + 11*z**4/6 - z**3/6 - 3*z**2 + 56*z. What is the remainder when 77 is divided by w(-22)?
13
Let i(s) = 8*s + 27. Let r = 11 - -3. Calculate the remainder when i(3) is divided by r.
9
Let z(s) = 2*s**2 - 25*s - 14. Let t(r) = r**2 - 106*r - 2348. Calculate the remainder when z(18) is divided by t(125).
22
Suppose -43*x - 5*w - 373 = -44*x, 0 = -3*x - 5*w + 1059. Let z = -165 + x. What is the remainder when z is divided by 28?
25
Let a be 254/5*(-30)/12. Let i = -88 - a. Calculate the remainder when 149 is divided by i.
32
Let j = 50 - -2. Let k = 47835 + -47821. Calculate the remainder when j is divided by k.
10
Suppose 3*p = k + 26, 3*k - p = p - 50. What is the remainder when -3 + (-1210)/k - (-3)/(-7) is divided by 6?
5
Let q(f) = 44*f - 62. Let z be q(4). Let p(h) = -2*h**3 - 3*h**2 - 3*h - 2. Calculate the remainder when ((-30)/(-2))/(190/z) is divided by p(-2).
1
Suppose 11*s + 22 + 44 = 0. What is the remainder when 4/s*6 - (-50)/2 is divided by 2?
1
What is the remainder when (-94)/(-141) - (-2 + 2 + 10955/(-15)) is divided by 140?
31
Let o(p) = 3*p**3 - 4*p**2 + 3*p - 1. What is the remainder when (-255)/(-2) - ((-28)/112 + (-2)/8) is divided by o(2)?
11
Let u(t) = 6*t - 112. Let g be u(19). Suppose 0 = -g*m + h + 1143, 2*h = m - 298 - 281. What is the remainder when m is divided by 44?
41
Suppose 0 = 2*n + 3*j - 11500, -64*n = -68*n - 4*j + 23008. What is the remainder when n is divided by 17?
10
What is the remainder when 748 is divided by 22/55*(-12)/(-8)*(-230)/(-6)?
12
Suppose 18*q = 23*q - 32*q + 216. Calculate the remainder when (-2 - 1)/(6/(-64)) is divided by q.
0
Let l = 2946 - 2901. Calculate the remainder when 627 is divided by l.
42
Let r be ((-48)/16)/((-9)/6). Calculate the remainder when (18/(-9)*-9)/(r/14) is divided by 13.
9
Let s(z) be the third derivative of z**6/120 + 2*z**5/15 - z**4/8 + z**3/2 - 40*z**2. Let w = 4 - 8. What is the remainder when s(w) is divided by 41?
38
Calculate the remainder when (-2*(-3)/(-2))/((-75)/(-10250)*-2) is divided by 192.
13
Let a = 69 - -401. Calculate the remainder when (-3)/(-9) + (a/(-15))/(-2) is divided by ((-2)/(-4) - 1)*-10.
1
Suppose -3*n - 18 = -33. Suppose 0*t + 3*o = 2*t - 5, -t - 1 = -n*o. Suppose -171 = -t*h - 5*b, -4 = 4*b - 0*b. Calculate the remainder when h is divided by 15.
14
Suppose -22*m + 18*m + 2*w = -772, 2*w = 2*m - 388. What is the remainder when 4606 is divided by m?
190
Suppose -r + 0*r + 25 = 2*y, -3*r - 5*y = -79. Suppose -2*n - 8*n = 590. What is the remainder when 74 is divided by (-22)/r - n/3?
17
Suppose -1908 = -2*g - 10*g. Let f = g - 101. Suppose -55*y + f*y - 27 = 0. What is the remainder when 33 is divided by y?
6
Suppose 426*b - 23573 = 238843. What is the remainder when 1241 is divided by b?
9
Let w(x) = -50*x - 234. Let r be ((-285)/6)/((-1)/2). Suppose 3*s = -z + r, -2*z + 55 = s + 3*z. What is the remainder when s is divided by w(-5)?
14
Let j(o) = 20*o**2 - o + 5. Let s be j(2). Suppose 4*r + 2*k = 760, 4*k - s = -3*r + 497. What is the remainder when r is divided by 9?
8
Let z = -14004 + 15273. What is the remainder when z is divided by 87?
51
Let l(o) = -o**3 - o**2 + 18*o + 4. Let g be l(9). Let k = g + 712. What is the remainder when 610 is divided by k?
66
Suppose 0 = -x - x + 588. Suppose -117*o + 119*o - x = 0. What is the remainder when o is divided by 51?
45
Let d(t) = 52*t - 1921. Calculate the remainder when 629 is divided by d(40).
152
Let c = -51 - -54. Let y(a) = 2*a**2 - 1 - 19*a + 7 - c*a**2 + 16. Calculate the remainder when y(-18) is divided by 21.
19
Let w = 272 + -269. Suppose 4*u - 47 = w*b, 6 = 10*u - 8*u + 2*b. What is the remainder when 53 is divided by u?
5
Let d(k) = k**2 + 59. Let v be d(0). Suppose -26*i + 59 = 302 + 485. Let m = i + v. Calculate the remainder when 61 is divided by m.
30
What is the remainder when (15/((-600)/4096))/(2/(-15)) is divided by 52?
40
Let b = 587 + 153. Suppose 67*z + 108 = 76*z. Calculate the remainder when b is divided by z.
8
Let t(v) = 2*v**3 + 4*v**2 - 5*v + 3. Suppose 10 - 20 = 2*b. Let a be t(b). Let q = -70 - a. Calculate the remainder when 155 is divided by q.
51
Let b(j) = -j**2 + 8*j - 11. Let v be b(3). Let n = v + 0. Suppose -138 = -t - 9*f + n*f, 3*f + 162 = t. Calculate the remainder when t is divided by 31.
29
Let t = -20785 + 24883. Calculate the remainder when t is divided by 24.
18
Let k(s) = s**2 - s - 15. Let z be k(-4). Suppose x - 57 = -3*x + 5*d, -z*d - 44 = -3*x. What is the remainder when 33 is divided by x?
7
Let y = -8 - -13. Suppose -2*t = d + 19, -y*d - 19 = 2*t - 4. Let p = t - -124. Calculate the remainder when p is divided by 29.
27
Let q(z) = -z**3 + z**2 + 5*z + 96. What is the remainder when q(0) is divided by 33?
30
Suppose 10*l = 11*l - 4*l. Suppose -4*b + 28 - 101 = -q, -3*b - 6 = l. What is the remainder when q is divided by 34?
31
Let o(v) = -v**3 + 18*v**2 - 44*v + 65. Let p be o(17). Let h = p - -424. What is the remainder when 59 is divided by h?
29
Let c = 18012 - 17983. Calculate the remainder when 492 is divided by c.
28
Suppose -5*c = -3*y - 180, 23 - 3 = -4*y. What is the remainder when 1086 is divided by c?
30
Let a = 260 - 117. Let h = 143 - a. Suppose -3*n = -5*i - 7, h = 2*n - 3*i - 5. What is the remainder when 5 is divided by n?
1
Suppose 0 = 4*r + 8*n - 12708, -12*r + 5*n + 9542 = -9*r. Calculate the remainder when r is divided by 30.
29
Let j = -833 + 482. Let v = -273 - j. Calculate the remainder when v is divided by 17.
10
Suppose -15904 = -84*b + 13*b. What is the remainder when 454 is divided by b?
6
Suppose 19 = 2*p - 3*f, -12 = -4*f - 0*f. What is the remainder when 31 is divided by p?
3
Let h = 86972 - 86753. Let y(o) = -o**3 + 7*o**2 - 7*o + 2. What is the remainder when h is divided by y(5)?
15
Suppose 40 = -9*k - 23. Let s(d) = -d**3 - 3*d**2 + 14*d + 7. Calculate the remainder when s(k) is divided by 56.
49
Suppose -11*l + 252*l - 252809 = 0. Calculate the remainder when 2113 is divided by l.
15
Suppose 32264 = 39*g + 15728. What is the remainder when 1275 is divided by g?
3
Let b be (-1)/((-3)/(-87) - 0). Let l = 65 + b. What is the remainder when l is divided by 136/14 + (120/(-224)*20 - -11)?
6
Let i = 36985 + 