
13
Let u = 12 + -6. Suppose -n + 4*t = u, 5*t + 2 = n + 12. Let j(c) = -c**3 - 11*c**2 - 7*c + 49. Calculate the remainder when j(-10) is divided by n.
9
Suppose 2*z + 0*z - 14 = -4*u, 0 = -5*z - 3*u + 35. What is the remainder when 33 is divided by z?
5
Let c = 340 + -328. Let l = 5 + -2. What is the remainder when c is divided by l?
0
Suppose -31*g - 286 = -44*g. Calculate the remainder when 3880/56 + -1 + 10/14 is divided by g.
3
Suppose 11*i - 442 = 20. Suppose 4*s = -4*s + 120. What is the remainder when i is divided by s?
12
Let p = -546 + 569. Calculate the remainder when 0 - 4/((-8)/270) is divided by p.
20
Suppose 0 = 6*k - 10*k + 12. Suppose -2*h = -4*w + 64, k*h - 5*h - 49 = -3*w. What is the remainder when 55 is divided by w?
10
Let f be 4*1 - (1 + 1). Suppose -v - v + 8 = 4*w, f*w = -2. What is the remainder when 27 is divided by 1*3/v*14?
6
Let s(u) = 2*u**3 + 42*u**2 - 44*u + 11. What is the remainder when 328 is divided by s(-22)?
9
Suppose -7*q = -2*q - 10. Suppose -r = q*r - 903. Calculate the remainder when (r/14)/((-2)/(-4)) is divided by 22.
21
Suppose 5*k - 26 = -2*m - 0*k, -4*m = -2*k - 28. What is the remainder when 21 is divided by m?
5
Let q(w) = w**2 - 59*w - 463. What is the remainder when q(-41) is divided by 14?
11
Suppose -47*t + 45 = -42*t. What is the remainder when (8 - 7)*(-104)/(-2) is divided by t?
7
Suppose -o - 20 = -23, 2*o = g - 27. Calculate the remainder when 48 is divided by g.
15
Let b be -3*((-33)/9 - 1). Suppose 6*r = b + 58. What is the remainder when r is divided by 5?
2
Let u(f) = -6*f**3 + 2*f**2 - 1. Let i be u(-2). Suppose 6*c - i = 5*c. Calculate the remainder when c is divided by 19.
17
Suppose -5*n + 2*n = 3*g - 39, 4*g + 38 = 5*n. Suppose -12 = -2*p + 4*d - 0, 0 = -5*p - 5*d + 15. What is the remainder when n is divided by p?
2
Suppose 9 = 6*r - 5*r. Suppose -13*y = -r*y - 136. Let h = -20 - -38. What is the remainder when y is divided by h?
16
Let n = -188 + 270. Let i = n + -44. Calculate the remainder when i is divided by 14.
10
Let w be 9 + 12/3 + -8. Suppose 2*l = -2*u - 4, 3*l - 6*l + w*u + 26 = 0. Calculate the remainder when 9 is divided by l.
1
Suppose m + 71 = 3*y, -5*y + 75 + 30 = -5*m. Calculate the remainder when 248 is divided by y.
23
Suppose -178*m = -191*m + 39. What is the remainder when 73 is divided by m?
1
Let w = -92 - -172. What is the remainder when w is divided by 1 - -30 - (-48)/(-12)?
26
Let s be -6 + 28 + (-6)/3. Let j be (10/s)/(1/(-6)). Calculate the remainder when 68 is divided by (-2 - -3)/(j/(-69)).
22
Suppose 4*r - 16 = 4*s, 8*r - 3*r + 4*s + 25 = 0. Let p = r - -13. Let k(i) = -54*i + 5216. What is the remainder when k(96) is divided by p?
8
Let w(k) = -k**3 + 10*k**2 + 16*k - 19. Calculate the remainder when w(10) is divided by 41.
18
Let x(f) = -f**2 + 23*f - 85. Calculate the remainder when x(18) is divided by 5.
0
Let p = 31 + 38. Suppose -44 + 4 = 8*j. Calculate the remainder when p is divided by (j - -26)/(3/2).
13
Let i(h) = h**2 - 11*h - 41. Let k = 21 - 10. What is the remainder when i(15) is divided by k?
8
Let u(k) = -11*k + 44. Suppose -t - 43 = -2*t. Calculate the remainder when t is divided by u(3).
10
Suppose 4*d - 3*v = 630, d + 5*v - 646 = -3*d. What is the remainder when d is divided by 27?
24
Let w(x) = -x**2 + 7*x - 5. Let c be w(5). Suppose q + 336 = c*q. What is the remainder when -4 + 1 + q/2 is divided by 14?
11
Suppose -3*h + 23 = 5*b - 14, 7 = 3*b - 2*h. Let u(o) = 2*o - 1 - 3 - b + 4. What is the remainder when 35 is divided by u(7)?
8
Suppose 0 = -2*v + v - 1. Let x(u) = 2*u**3 - 2*u**2 + 1. Let l be x(v). Calculate the remainder when 58 is divided by -24*(30/8)/l.
28
Suppose -5*j - 35 = 2*i, j + j + 38 = 4*i. Let w = j + 30. Suppose -3*m = -5*m + 3*z + w, 16 = -3*m - 5*z. What is the remainder when 3 is divided by m?
0
Suppose 2*x - 5*u = 27, 0 = -3*x - 3*u + 4*u + 47. Suppose 0 = l + f, -4*f - 7 - 5 = l. Suppose -15 = l*h - 51. What is the remainder when x is divided by h?
7
Let d(u) = 3*u**2 - 60*u - 61. What is the remainder when 356 is divided by d(21)?
0
Suppose -11 = -2*p + p. Let i = -4384 + 4412. What is the remainder when i is divided by p?
6
Calculate the remainder when 6 - 284/(-6)*147/14 is divided by 22.
19
Suppose -13*r + 333 = -434. What is the remainder when r is divided by 26?
7
Let q = 38 + -35. Suppose 0 = 2*t + 4*s - 68, -7*t + 144 = -q*t + 4*s. Calculate the remainder when t is divided by 13.
12
Let p(b) = 479*b - 3. Let m be p(1). What is the remainder when ((-6)/(-2))/(42/m) is divided by 20?
14
Let y(i) = 6*i - 3. Let z(u) = -u**2 - 5*u - 2. Let w be z(-4). What is the remainder when 25 is divided by y(w)?
7
Let v = 385 + -196. Suppose 6*m = 15*m - v. Suppose -7 - 4 = -t. What is the remainder when m is divided by t?
10
Let f(w) = -w + 20. Let s be f(15). Suppose 0*o = 4*o - 3*n - 135, -137 = -4*o + s*n. Calculate the remainder when 163 is divided by o.
31
Suppose 2*k - 4*u = -2*k + 5212, 0 = -10*k - 3*u + 12978. What is the remainder when k is divided by 21?
18
Let t be (6/9)/((-6)/(-9)). Suppose 1 + t = r. What is the remainder when 2 is divided by r?
0
Let a be (-24)/156 - 264/(-26). Calculate the remainder when (-13981)/(-55) + (-2)/a is divided by 51.
50
Let n = 12 - 16. Let g = 36 + -19. What is the remainder when g is divided by (-4)/n*7 + 2?
8
Let o(t) = t**2 - 3*t**3 + 118 + 2*t**2 - 125. Let w(f) = f**3 - f**2 - 1. Let p(g) = -o(g) - 2*w(g). Calculate the remainder when 43 is divided by p(0).
7
Suppose -20 = -5*w, -3*m + 4*m - 3*w - 2 = 0. Calculate the remainder when 52 is divided by m.
10
Suppose 4*c - p = 46, -13 = -2*c - 5*p + 43. Let n = 20 - 2. Calculate the remainder when n is divided by c.
5
Let n(u) = -u - 4. Let t be n(0). Let v = -3 - t. Let j = v + 14. What is the remainder when 28 is divided by j?
13
Let w(o) = 1. Let r(l) = 6*l - 9. Let p(a) = -r(a) - 12*w(a). Suppose 3 = -2*z - 3. Calculate the remainder when p(z) is divided by 4.
3
Suppose 38*a = -7*a + 31545. Calculate the remainder when a is divided by 88.
85
What is the remainder when 0 + 9/27 - 5194/(-6) is divided by 79?
76
Let z(n) = -n**2 + 12*n + 31. Calculate the remainder when z(13) is divided by 13.
5
Suppose -5*y = -3*y + 3*s - 18, -5*s = 0. Calculate the remainder when y is divided by 2 + 0 - (1 + -4).
4
Let v = 212 + -30. Suppose -5*p - 5*q + 460 = 0, -4*p + 2*q + v + 174 = 0. Calculate the remainder when p is divided by 31.
28
Let k = 65 - 59. Let i = 15 - k. What is the remainder when 43 is divided by i?
7
Let o(n) = 2*n**2 + 49*n - 47. Calculate the remainder when 109 is divided by o(-26).
16
Suppose -4*n - 139 = -2*k + 679, -5 = -n. What is the remainder when k is divided by 21?
20
Suppose x = -3*x + 28. Suppose -103 = x*v - 432. Calculate the remainder when v is divided by 25.
22
Let n(m) = 2*m**3 + 3*m**2 - 4*m + 3. Let t be (-129)/(-6) + 4/(-8). Suppose -2*j + t = -205. What is the remainder when j is divided by n(2)?
21
Calculate the remainder when (-23902)/(-57) + 5/(-15) is divided by 131.
26
Suppose -3*t - 5*a = -112, 4*t - 41 = 3*t + 2*a. Calculate the remainder when t is divided by 8.
7
Let o = -444 + 467. Let s(i) = -i**3 - 7*i**2 + 2*i - 4. What is the remainder when s(-8) is divided by o?
21
Let i = -14122 - -14132. Calculate the remainder when 3*((-128)/(-6) - 2) is divided by i.
8
Suppose 0 = 25*w - 58 - 642. What is the remainder when 128 is divided by w?
16
Let d = 4 + 16. Let l = -87 + 15. Let g = -65 - l. Calculate the remainder when d is divided by g.
6
Let c(n) = -3*n**2 - 14*n + 3. What is the remainder when 29 is divided by c(0)?
2
Let y(k) = 2*k**2 - k**2 + 1 - 5*k - 1 - 2. Let p be y(5). What is the remainder when 86 is divided by (55/(-20))/(p/16)?
20
Let o = -85 + 86. Let m(u) = 24*u**3. What is the remainder when 68 is divided by m(o)?
20
Suppose -9*y = -17 - 1. Suppose z - 2*z = -2, 36 = y*b + 5*z. What is the remainder when b is divided by 6?
1
Suppose -j - 141 = -4*j. Calculate the remainder when j is divided by 4*3/(-6)*-8.
15
Let r(s) = -s**2 - 2*s + 2. Let g be r(-3). Let n be -8 + 6 + 9 + g. Suppose 0 = -h - h + n. What is the remainder when 9 is divided by h?
0
Suppose 69 - 240 = 3*z. Let x = -34 - z. Calculate the remainder when x is divided by 5.
3
Suppose -4*d = -v