Let r(g) = -359*g + 69. What is the remainder when r(-2) is divided by 31?
12
Suppose 229*s - 147*s = 2624. Let k(c) = c**3 - c**2 - 5*c + 9. Calculate the remainder when k(6) is divided by s.
31
Let u(j) = 2*j**3 - 11*j**2 - 8*j + 28. Let m = 71 - 65. What is the remainder when u(m) is divided by 4?
0
Let f be ((-6)/5)/(78/(-2600)). Let z be f/7 + (-24)/(-84). Suppose 0 = 5*v - 4*j - 130, 4*v - 110 + z = 4*j. What is the remainder when 74 is divided by v?
22
Let u be (-10)/12*-2 - 30/(-9). Suppose -6*i + u*i + 35 = 0. Calculate the remainder when i is divided by 6.
5
Suppose 1617 + 12796 = 83*q + 718. What is the remainder when 986 is divided by q?
161
Let k(u) = 10*u - 13. Suppose -3*m + 44 - 32 = 0. Suppose 3*w - 3*c = 18, m*w - 11 = 2*w + c. Calculate the remainder when k(w) is divided by 19.
18
Suppose x + 1 = 2*c, 2 + 3 = 3*c + 2*x. Suppose -c = -5*j + 44. Calculate the remainder when 14/4*(-21 + 33) is divided by j.
6
Let d = 88 + -48. Let r = -199140 + 199499. Calculate the remainder when r is divided by d.
39
Let k(s) = -21*s - 960. Calculate the remainder when k(-56) is divided by 110.
106
Let x(l) = 11*l**2 + 2*l + 3. Let b = -5 + -36. Let r = b + 39. What is the remainder when x(r) is divided by 16?
11
Let j be 94 - 5/20*28. Calculate the remainder when 28*(6/(-1))/(-2) is divided by (19/3 + -6)*j.
26
Suppose 36 = i - 2*b - 68, -3*b = -2*i + 212. Suppose 92 = o - c - i, 2*c = -4*o + 804. Let z = o + -48. What is the remainder when z is divided by 31?
30
Let k(h) = -2*h**3 + 2*h**2 + 41*h + 751. What is the remainder when k(0) is divided by 698?
53
Let b(j) = -4*j + 86. Let c be b(29). Calculate the remainder when (c/9)/(2*3/(-9)) is divided by 4.
1
Let r(d) = -4*d - 16. Let w be r(-6). Suppose -4*o - z + 29 - 1 = 0, 0 = 2*o - 5*z - 36. Suppose -o*a = -32 + w. What is the remainder when 9 is divided by a?
0
Let l(a) = 632 - 335 + 21*a - 322. Calculate the remainder when l(9) is divided by 28.
24
Let x = 1910 - 1876. What is the remainder when 58 is divided by x?
24
Suppose -2*t = 5*s - 152, -8*t + 98 = 3*s - 0*s. What is the remainder when 844 is divided by s?
4
Let v = 27722 + -27422. What is the remainder when 868 is divided by v?
268
Let z = -2465 - -2531. Calculate the remainder when 1712 is divided by z.
62
Let q(g) = -13*g**3 - g**2 + g + 1. Let b = 52 + -48. Let y(w) = w**2 - w - 13. Let o be y(b). Calculate the remainder when 131 is divided by q(o).
11
Let t be (2200/48)/11*6. Suppose a - 5*c - t = -5, 0 = 5*a - 4*c - 121. Let g = 191 + -67. What is the remainder when g is divided by a?
24
Let p(u) = -u + 5. Suppose 0 = s + 5*w - 3*w + 163, -w = s + 167. Let m be (-6)/(-15) - s/(-15). Calculate the remainder when 62 is divided by p(m).
14
Let c = 79 - 39. Let u = 14415 + -14381. What is the remainder when c is divided by u?
6
Let y = -4378 - -4407. Calculate the remainder when 341 is divided by y.
22
Let m be 598/260 + 68/40 + -2. Suppose 5*y - 9 - 6 = 0. Suppose 0 = m*w - 3*h - 18, -y*w - 3*h + h = -14. What is the remainder when 58 is divided by w?
4
Suppose l - 51 = -2*b, -3*l + 130 = 4*b + b. Let j = 93 + -95. What is the remainder when -2*((-238)/16 + j)*4 is divided by b?
20
Let v(j) = j**3 - 11*j**2 - 5*j + 16. Calculate the remainder when 3894 is divided by v(12).
94
Let i(c) = -6*c**3 + c**2 + 49*c + 22. Calculate the remainder when i(-6) is divided by 28.
24
Suppose 0 = c + 5*y - 4, 32*c - 28*c + 3*y = 50. Let x = 2 - 2. Suppose 3*n - 110 + 35 = x. What is the remainder when n is divided by c?
11
Let g = 1803 - 1806. Let j = -43 - -13. Calculate the remainder when 139 is divided by (j/(-14) - g)/(2/14).
31
Suppose -4*k + 5*p + 39 = 0, -5*k + 106 = -3*p + 41. Let i(d) = 2*d**3 + 43*d**2 + 18*d - 1. Calculate the remainder when i(-21) is divided by k.
14
Let q = -16 - -40. Suppose 4*c - c = c. Suppose c = 35*g - 33*g - 28. What is the remainder when q is divided by g?
10
Suppose -29*p + 33*p - 175 = 3*k, -5*p - 3*k = -185. What is the remainder when 303 is divided by p?
23
Suppose -q = -55 + 52, 0 = n - q - 1627. Calculate the remainder when n is divided by 180.
10
Let d be (3/(-9))/(2/1218). Let z = 207 + d. What is the remainder when 28 is divided by z?
0
Suppose 2*y - 4*n - 2271 = -215, n = 5. What is the remainder when y is divided by 25?
13
Suppose 0 = -20*w + 12*w + 10*w - 276. Calculate the remainder when w is divided by 42.
12
Suppose 0 = 5*h + 15 - 70. Suppose 0 = -z + h + 3. Let q = -4019 + 4045. Calculate the remainder when q is divided by z.
12
Suppose -14*y = -285*y + 266393. What is the remainder when y is divided by 256?
215
Suppose -4*c = p - 0*p - 1323, 2*c - 6 = 0. What is the remainder when 3965 is divided by p?
32
Let o(q) = -8*q**3 - 3*q**2 + 5*q - 2. Let s be o(1). Calculate the remainder when (10 + 172/16)/((-2)/s) is divided by 21.
20
Suppose 0 = 20*b - 149 - 1111. Calculate the remainder when (100/(-12))/((-3)/b) is divided by 9.
4
Suppose -5 = -20*a + 144 + 311. Calculate the remainder when 1743 is divided by a.
18
Suppose -265 = -s - 4*s. Let k(u) = 44*u + 38. Let v be k(-19). Let a = -780 - v. Calculate the remainder when s is divided by a.
17
Let j(i) = -19*i**2 - 35*i - 1. Let v be j(-3). What is the remainder when 125 is divided by (-31)/(-62) + v*1/(-2)?
23
Suppose -55567 + 55309 = -3*h. Calculate the remainder when 98 is divided by h.
12
Let x(d) = d**2 - 78*d + 540. Calculate the remainder when x(-75) is divided by 16.
15
Let u(h) = 3. Let t(a) = -19*a + 57. Let s(p) = -t(p) - u(p). Calculate the remainder when 143 is divided by s(4).
15
Suppose 9*l + 10 = -62. Let m(v) = -22*v - 13. Let i = 17 + 16. Calculate the remainder when m(l) is divided by i.
31
Let t(s) = s**2 + 2*s + 2. Let n be t(-2). Suppose 0 = -26*k + 43 + 61. Suppose 0*g + 2*g + 6 = k*o, 2*g = n. What is the remainder when 5 is divided by o?
1
Suppose 482*r - 1024926 + 179980 = 0. What is the remainder when r is divided by 5?
3
Let m(z) = -33*z**2 - 2411*z - 117. Let b = 112 + 51. What is the remainder when b is divided by m(-73)?
18
Suppose -18*m - 41*m + 177 = 0. Suppose u = 2*o + 14, -2*u + o = -m*u + 26. Let t = 71 + 9. What is the remainder when t is divided by u?
14
Let q(o) = 7*o - 2. Let k(n) = 7*n - 3. Let c(z) = 5*k(z) - 4*q(z). Suppose 0 = -2*x + 6, -4*r + x + 3*x = 0. Calculate the remainder when c(2) is divided by r.
1
Let x = -29 + 41. Let u(y) = -y**3 + 8*y**2 - 12*y + 84. Let q be u(8). Calculate the remainder when (-219)/q - 24/(-32) is divided by x.
7
Suppose 6595 + 839 = 4*g - 5*z, -2*g - 5*z = -3762. What is the remainder when g is divided by 48?
42
What is the remainder when -3 - (33600/(-14) + -7) is divided by 86?
82
Suppose 37088 = -54*c + 115*c. Calculate the remainder when c is divided by 34.
30
Let o be (-124)/(-7) + 1 + 20/70. Suppose v + o = 2*s + 133, -3*s - 466 = -4*v. Let x = -113 + v. Calculate the remainder when 34 is divided by x.
4
Let t(c) be the third derivative of 0 + 24*c**2 + 5/4*c**4 + 0*c - 1/3*c**3. What is the remainder when t(3) is divided by 13?
10
Let g(c) = -2*c - 3. Let b = -54 + 50. Let i be g(b). Let u(f) = 17*f - 6. Calculate the remainder when u(i) is divided by 21.
16
Suppose 0 = -4*f + 14*f - 60. Let r be (-1128)/(-120) - f/(-10). Suppose w - 176 = -r*w. Calculate the remainder when w is divided by 3.
1
What is the remainder when (-1)/(1*3/(-204)) is divided by 15*112/70 - -1?
18
Let o = 756 + -735. Let m = 268 - 103. Let r = m - 83. What is the remainder when r is divided by o?
19
Let a = 25 - 17. Suppose 5*c = a*c. Suppose c = -0*v - 4*v + 200. What is the remainder when v is divided by 17?
16
Let v = 332 + -174. Calculate the remainder when v is divided by -1*(2/(-2) + -2)*17.
5
Suppose 0 = -5*v + 10, 0 = -5*a - 3*v - 31 + 3992. Calculate the remainder when a is divided by 220.
131
Let x = -6 - -11. Let s be ((-10)/(-8) + -1)*(12 + 4). Suppose -2*b - 23 = -25*i + 22*i, -s*b + 8 = 0. What is the remainder when i is divided by x?
4
Let b = 0 + 26. Suppose 2*q + 2*p = 92, 2*q - 59 = -3*p + 29. Calculate the remainder when q is divided by b.
24
Let q = 9 - -2. Suppose -3*f = s + 4*s + 293, 4*s + 230 = 2*f. Let v = -53 - s. What is the remainder when q is divided by v?
1
What is the remainder when (-2 - 0) + ((-2)/3)/(137/(-76035)) is divided by 6?
2
Let p be (