ulate the remainder when x is divided by 22.
17
Let o(k) be the third derivative of 23*k**5/20 + 11*k**4/12 + 11*k**3/3 - 150*k**2. Calculate the remainder when o(-1) is divided by 26.
17
Suppose 0 = -4*w - 2*g - 1321 - 2121, w + 874 = 4*g. What is the remainder when 11/(-22) + (-4)/16*w is divided by 31?
29
Let d = 372 + -223. Let t = 540 - 318. Let g = -171 + t. What is the remainder when d is divided by g?
47
Let o be 105/30 - (-2)/(-4). Calculate the remainder when 39 is divided by (4 - o)*-7*3*-1.
18
Let a(n) = -32*n + 61. Let d be a(2). Let f(b) = -24*b - 20. Calculate the remainder when 518 is divided by f(d).
50
Let i(r) = r**3 + 12*r**2 + 32*r - 4. Let l be i(-6). Let c = -22 + 37. What is the remainder when 932/16 - (-2 + l/16) is divided by c?
14
Suppose -1537*u + 2937 = -1504*u. Calculate the remainder when 274 is divided by u.
7
Calculate the remainder when 815 is divided by (153244/98)/26 - 2/14.
35
Suppose 1455 = 38*z - 4625. Suppose -23*j = -z - 162. Let a(k) = -k**2 - 14*k + 4. Calculate the remainder when a(-8) is divided by j.
10
Let f(m) = -104*m + 32. Let v be f(-7). Suppose -4*p + 380 = 3*i - i, 0 = -4*i - p + v. Calculate the remainder when i is divided by 16.
14
Suppose 0 = -22*z - 5*z + 19544 + 41287. Calculate the remainder when z is divided by 46.
45
Suppose -2*y + 31*u + 196 = 29*u, -4*y + 380 = -u. What is the remainder when 3101 is divided by y?
93
Suppose g - 67 = -5*w, -5*w - 113 = -3*g + 68. Suppose x + 426 = g. Calculate the remainder when ((-3)/(-2))/((-6)/x) is divided by 23.
22
Suppose -3*f = -4*z - 504, f - 4*z = 4*f - 528. Let r = -59472 + 59497. Calculate the remainder when f is divided by r.
22
Calculate the remainder when 222804/24*48/72 is divided by 12.
9
Let v = 11259 - 11239. Let m = 118 + -50. What is the remainder when m is divided by v?
8
Let c = -42 - -60. Suppose 2*d = -5*l + 28, 2*d - 12 = 3*l - 0*l. Suppose 0 = 69*j - 68*j - d. Calculate the remainder when c is divided by j.
0
Suppose -3*y - 5*q + 9 = 59, 0 = -3*y + 3*q - 90. Suppose -2*w + 5*w - 6 = -4*d, -2*w + 4*d = 16. Calculate the remainder when 5 is divided by (60/y*20/6)/w.
1
Let p(h) = -3*h + 15 - 5669*h**2 + 0*h + 5677*h**2. Suppose -o = -0*o - 4. Calculate the remainder when p(o) is divided by 33.
32
Suppose h = -h + 92. Let s be 7/(-28)*0 + 270. Let o = s + -254. What is the remainder when h is divided by o?
14
Suppose 96547 = 106*m + 105*m - 80*m. What is the remainder when 3690 is divided by m?
5
Let c(g) = 1081*g - 2909. What is the remainder when c(3) is divided by 31?
24
Suppose 4*g - k = 24, -5*g - 15 = -4*k - 45. Suppose 84 = -b + 5*b. What is the remainder when ((-1036)/(-49))/(g/b) is divided by 19?
17
Let v = 30149 + -30061. Suppose -5*a = 2*l - 59, -4*a - 2*l + 22 + 24 = 0. Calculate the remainder when v is divided by a.
10
Let v = -2034 + 2246. What is the remainder when v is divided by 36?
32
Let n(q) = -q**2 - 8*q - 17. Let c be n(-2). What is the remainder when 50 is divided by (-119)/c - 8/10?
4
Let x be (2 + -3)*(4 + -3). Let y be 1 + 0 + (-3 - x - -4). Suppose 220 = y*w + 70. Calculate the remainder when w is divided by 13.
11
Suppose 155 = 10*w - 1435. What is the remainder when w is divided by -5*(-6 + -3) + -5?
39
Suppose 0*k + 4*k - 116 = 0. Suppose k*b = 24*b + 225. Let z(h) = -2*h**3 - 5*h**2 - 7*h - 14. Calculate the remainder when b is divided by z(-3).
13
Suppose 86708 = 91*r - 305733 + 110250. What is the remainder when r is divided by 238?
7
Suppose 19*m + 4854 + 2246 = 44*m. Calculate the remainder when m is divided by 47.
2
Let z be ((-5)/4)/((-5)/(-20)). What is the remainder when 173 is divided by -12*((-5 - -5) + z)?
53
Let v = 64 - 51. Let d be 33/(-22)*v*1*-2. Suppose -2*w + d + 61 = 0. Calculate the remainder when w is divided by 13.
11
Suppose -3*p - 5086 = -5131. Calculate the remainder when 2484 is divided by p.
9
Let n be -21*(8 + -4 + -45). Suppose -15*u + 3081 - n = 0. Calculate the remainder when u is divided by ((-5)/2)/((-2)/24).
28
Suppose 4*j = 5*p + 43 + 2683, -5*p = 4*j - 2786. Calculate the remainder when j is divided by 227.
8
Let i(q) = q**3 - 8*q**2 - 18*q - 16. Calculate the remainder when i(10) is divided by 4*2 - (18 - 14).
0
Let h(n) = 3*n**2 - 5*n + 3. Let q(r) = -r**2 + 10*r - 10. Let d be q(4). Suppose -1 = -5*a + d. What is the remainder when 67 is divided by h(a)?
7
Let s = -471 + 687. Let d = s + -197. Calculate the remainder when 90 is divided by d.
14
Let f = 467 + -456. What is the remainder when (111/(-6))/(f/(-88)) is divided by 22?
16
Let n be -4 + 206 + 0 + 9 + -10. Suppose -205*s + 308 = -n*s. Calculate the remainder when s is divided by 28.
21
Suppose 5088*u - 1953 = 5057*u. Let a = 54 + -94. Let h = u + a. What is the remainder when h is divided by 8?
7
Suppose -28 = 2*y - 34. Suppose -5*a - 4*d = -d - 117, 21 = a + y*d. Calculate the remainder when 92 is divided by a.
20
Let l(x) = 4*x - 17. Let c be l(5). Suppose -v - 20 = 2*g - 7*g, 0 = v - 5. Calculate the remainder when g is divided by (-36)/(-30)*10/c.
1
Suppose 2*v - 3*r = -7*r + 252, -v + r + 138 = 0. Suppose -266 + v = -6*i. What is the remainder when 636 is divided by i?
20
Let w = 17393 + -17370. What is the remainder when 1049 is divided by w?
14
Let o(n) = n**3 - 26*n**2 + 107*n + 45. Calculate the remainder when o(21) is divided by 29.
0
Suppose 0 = 12*i + 23 - 311. Let w = 9 - i. Let o = w - -38. Calculate the remainder when o is divided by 14.
9
Let b = -18 + 12. Let p(n) = 2*n**2 + 6*n - 1. Let m = -1378 + 1390. What is the remainder when p(b) is divided by m?
11
Let q(z) = z**3 + 28*z**2 + 128*z + 51. Calculate the remainder when q(-21) is divided by 440.
10
Let r(h) = -3*h + 39. Let l be r(12). Let g(m) = 3 + 6*m**3 - 2*m**2 - 7*m**3 + 0*m**2 - l*m**3. What is the remainder when g(-3) is divided by 20?
13
Let l(j) be the first derivative of j**3 + 3*j + 442. Suppose 3*m - 6*m = -3*g - 12, 3*g = -2*m - 7. Calculate the remainder when l(g) is divided by 16.
14
Suppose -5*c + 196 + 136 = 2*g, -c + 2*g + 64 = 0. Let t = 101 - c. Calculate the remainder when t is divided by 6.
5
Suppose 0 = -12*m - 2*j + 262, -3*j = 164*m - 169*m + 136. What is the remainder when (-426)/(-4) + 5/(-10) is divided by m?
14
Let k = 81 + -55. Let p = -41 - -47. Let j = p + 3. Calculate the remainder when k is divided by j.
8
Let w = -2 + 6. Suppose 0 = n - 5*s - 5, -3*s + w*s - 47 = -3*n. Let f = -39 - -67. Calculate the remainder when f is divided by n.
13
Calculate the remainder when 388 is divided by ((19/38)/((-15)/54))/((-3)/5).
1
Let y = -6869 + 7737. What is the remainder when y is divided by 110?
98
Let j(s) = 40*s**2 - 13 - 14*s + 77*s**2 - 57*s**2. Calculate the remainder when j(-3) is divided by 57.
56
Let r = 2446 - 1898. Let y = 127 + -103. Calculate the remainder when r is divided by y.
20
Let v(s) be the third derivative of s**6/30 - s**4/8 + s**3/3 + 13*s**2. Let j be v(-2). Let m = -16 - j. Calculate the remainder when 31 is divided by m.
7
Suppose 0 = -z - 4*g + 33, -47 = -18*z + 14*z + g. Calculate the remainder when z is divided by (0 - 1)/((-2)/14).
6
Suppose -5*f + 12*b - 16*b + 93 = 0, 4*f = -5*b + 69. What is the remainder when 206 is divided by f?
17
Suppose -4*v = 2*t - 62, 22*v - 112 = -4*t + 26*v. What is the remainder when 122 is divided by t?
6
Suppose -58 = -3*i + 4*k + 13, -5*i - 3*k + 70 = 0. Suppose 46*r + 37*r - 52 = 529. Calculate the remainder when i is divided by r.
3
Let h = 63 + -41. Suppose u = 4*f - 1111 - 38, 3*f - 853 = -u. Let m = f - 272. Calculate the remainder when h is divided by m.
8
Let i be -3 + 2 - (84/(-2) + 5). Suppose -4*d + 2*z - 3*z = -39, -i = -4*d - 4*z. What is the remainder when (-225)/(-6) + (-2)/4 is divided by d?
7
Let b(t) = t + 1025. Calculate the remainder when b(79) is divided by 31.
19
Let r(t) = 159*t + 1230. Let a be r(-7). Let n = -71 - -150. Let d = a - n. What is the remainder when d is divided by 13?
12
Suppose -17*w - 186219 = -34*w - 40*w. What is the remainder when w is divided by 412?
383
Let x = -9754 + 9774. Calculate the remainder when 836 is divided by x.
16
Suppose 7*y + 16*y = -y + 2616. Calculate the remainder when 249 is divided by y.
31
Suppose 713 + 509 = 47*m. Calculate the remainder when 244 is divided by m.
10
Let p =