 Calculate the remainder when 18223 is divided by y.
66
Let i(c) = c**3 - 21*c**2 + 17*c + 4. Let x be i(20). Let a = x + 95. What is the remainder when a is divided by 18?
3
Let y = -4 + 9. Suppose 0*p = -3*t + p, -y*p = -2*t - 13. Let a(f) = 139*f**2 - 3*f + 2. Calculate the remainder when a(t) is divided by 28.
26
Let t(o) = 3*o + 20. Suppose u = 6*u + 25. Let h be t(u). Suppose h*x = x + 316. Calculate the remainder when x is divided by 40.
39
Calculate the remainder when 421 is divided by -6 + (10/(-1) - -14 - (-88 - -3)).
6
Suppose 0 = 5*b - 2*k - 782, 12*k - 10*k - 324 = -2*b. Calculate the remainder when 1110 is divided by b.
4
Let h = 61 - 56. Suppose -5*b - 185 = -4*u, -2*u - 235 = -7*u + h*b. Suppose 0 = -z + 11*z - u. Calculate the remainder when 31 is divided by z.
1
Let t(d) = 34*d**2 + 444*d - 17. Calculate the remainder when t(-14) is divided by 115.
86
Let f(m) = m**2 - m - 50. Let o be f(8). Suppose o*s - 7*s + 33 = 0. Suppose -4*z + 5*a + 28 = -2, z + 5 = -5*a. What is the remainder when s is divided by z?
3
Let i = -4175 - -5711. What is the remainder when i is divided by 222?
204
Let h(y) = 10*y**2 - 12*y + 11. Calculate the remainder when 372 is divided by h(1).
3
Suppose 14*c - 17*c = 4*t - 410, 5*t - 511 = -3*c. Calculate the remainder when t is divided by 71.
30
Let x = -21 + 23. Suppose -4*c = 4*k - 296, -4*c = -0*k - x*k + 118. Let o = 318 + -300. Calculate the remainder when k is divided by o.
15
Let l be 63/12 + (-15)/(-20). Let a be 7 + (0 - (-4 + l)). Suppose -2*w = -r - 162, a*w + 4*r - 396 = 2*r. What is the remainder when w is divided by 41?
39
Let h = -138 - -152. Let f(b) = 5*b - 57. Calculate the remainder when (0 - 1)/((-2)/62) is divided by f(h).
5
Suppose 6*h - 6 = 8*h, 71 = 2*d + h. Suppose 2*z - 84 = -w + 3*z, -5*z = 20. Let o = w - d. What is the remainder when o is divided by 11?
10
Suppose -1472 = 75*k - 121*k. What is the remainder when 2365 is divided by k?
29
Calculate the remainder when (925/2 - 1) + 10/(-4) is divided by 156.
147
Suppose 3*m - 7*m - 1290 = -5*u, -5*u + 1290 = -m. Suppose h = 7*h - u. Calculate the remainder when h is divided by 10.
3
Let x(r) = 5*r**3 + 429*r**2 - 87*r + 70. What is the remainder when 1868 is divided by x(-86)?
152
Let r = -8 - 9. Let j = 22 + r. Let q = 201 - 199. What is the remainder when j is divided by q?
1
Let k = 14100 - 14021. Suppose 5*j + 33 = -5*n + 108, -3*j - 95 = -4*n. Calculate the remainder when k is divided by n.
19
Let v = -5 - -8. Suppose 12 = v*o, -48 = -3*a - 5*o + 2*o. Let t(s) = -s**3 + 6*s**2 + 9*s - 10. Calculate the remainder when a is divided by t(7).
0
Let q = 90 - 14. Let o = 22 + q. Let p = o + -91. Calculate the remainder when 22 is divided by p.
1
Let g(c) = c**2 + 75*c + 202. Calculate the remainder when 60 is divided by g(-73).
4
Let d = 5971 - 5589. What is the remainder when d is divided by 8?
6
Let n(p) = p**2 + 4*p - 24. Let d = -273 - -279. Suppose 282 = 4*c + 2*r - 4*r, -4*c - 5*r = -261. What is the remainder when c is divided by n(d)?
33
Suppose c - 8*c = -21. Suppose 2*l - 5*d - 21 = 0, 5*l = c*d + 63 + 18. Calculate the remainder when 17 + 91 + (-3)/1 is divided by l.
15
Suppose -5*i + 89 = 14. Let r = -33 - -239. Let y = r + -179. What is the remainder when y is divided by i?
12
Let a(q) = -37*q + 298. Let c be a(7). Suppose c*r + 36 = 40*r. Calculate the remainder when 123 is divided by r.
15
Let n(a) = -20*a**3 - a**2 - 2*a - 1. Suppose 5*o + 0*o + 225 = 0. Let i = 51 - o. What is the remainder when i is divided by n(-1)?
16
Let u = 1505 + -1503. Let a(v) = -v - 3. Let o be a(-6). Suppose 2*k - 4*h - 102 = -u*h, 0 = 5*k - o*h - 257. What is the remainder when 153 is divided by k?
49
Let u be (-1347)/9 + 1*4/(-12). Let q = -140 - u. What is the remainder when 34 is divided by q?
4
Let j(w) = w**3 + 40*w**2 + 194*w - 214. Calculate the remainder when 154 is divided by j(-34).
28
Let p = 2668 + -2631. What is the remainder when 39 is divided by p?
2
Suppose 0 = x - 118 + 34. Suppose -474 = -59*r + 54*r - 3*c, r + c - 94 = 0. Let h = r - x. Calculate the remainder when 22 is divided by h.
10
Let n = 416 + -488. What is the remainder when 18 is divided by n/12*(-3 - (-14)/6)?
2
Suppose 43 = -6*p - 35. What is the remainder when (13442/(-3))/p + (-2)/(-6) is divided by 12?
9
Suppose 77 + 2154 = 27*r - 4*r. What is the remainder when 440 is divided by r?
52
Suppose 93*n - 3588 - 29892 = 0. Calculate the remainder when n is divided by 33.
30
Let b(m) = -7*m + 14. Let k = -62 - -34. Let j be b(k). What is the remainder when 102 is divided by j/(-4)*16/(-24)?
32
Suppose -3*d = 5*x + 6, -7*d + 4*x = -12*d + 3. Suppose -b - d = -1. What is the remainder when (-3)/15 + (1236/(-15))/b is divided by 7?
6
Suppose 10*o - 361 + 81 = 0. Calculate the remainder when (o - -3)/((-1)/(-7)) is divided by 44.
41
Calculate the remainder when 543 is divided by 37996/(-13570)*3*(0 + 10/(-12)).
4
Let w be ((-4)/6 + -2)*4161/(-38). Let v = 308 - w. Suppose 242 = 5*f + q - 4*q, 0 = 5*f + q - 226. What is the remainder when f is divided by v?
14
Let m(r) = -259*r - 1509. Let z(w) = 3*w**2 - w - 6. What is the remainder when m(-6) is divided by z(-3)?
21
Suppose 5*t + 104 = 4*v - 74, -29*v + 2*t + 1085 = 0. Let x(r) = -r**3 - 3*r**2 - r + 1. Calculate the remainder when v is divided by x(-4).
16
Suppose 5*a - 5*w = -2100, 5*a + 1113 = -5*w - 997. Let g = a + 432. What is the remainder when 50 is divided by g?
6
Let c = 3059 - 1439. Suppose -6*n = -12*n + c. Let z = n + -173. Calculate the remainder when z is divided by 20.
17
Let i(n) = -2*n + 25. Let j be i(8). Suppose j*f - f + 24 = 0. What is the remainder when (1 + 3/6)*(-106)/f is divided by 14?
11
What is the remainder when 1275 is divided by -69*(260/(-150) - ((-162)/30 + 6))?
148
Let k(w) = w**3 + 67*w**2 - 66*w + 159. What is the remainder when 240 is divided by k(-68)?
10
Let l = 3244 + -2106. What is the remainder when l is divided by 7?
4
Suppose 0 = 15*h - 16*h + 23. Suppose -h*b - 6 = -26*b. Suppose -b*f - 10 = 0, 3*f = 3*i - i - 91. What is the remainder when i is divided by 16?
6
Let i(y) = 28*y + 2. Let l be i(-2). Let s(g) = -g**3 - 14*g**2 - 12*g + 1. Let d be s(-14). Let o = l + d. What is the remainder when o is divided by 29?
28
Calculate the remainder when 94 is divided by 8/(-6)*(-1824)/64.
18
Let s be -1*6/(8 - 2)*0. Calculate the remainder when 131 is divided by s/(-14) - (2 - 48).
39
Let l(q) = -23*q + 1354. Calculate the remainder when l(41) is divided by 85.
71
Let p be 4 + 1104/(-28) + (-30)/(-70). Let t(w) = -4*w**2 + 4*w. Let d be t(-5). Let l = p - d. Calculate the remainder when l is divided by 22.
19
Suppose -2*l - 255 = -6*l + 3*c, -4*l = 3*c - 249. Calculate the remainder when 3397 is divided by l.
58
Let g = -31 - -29. Let v be (-2 - -6)/((-2)/16*g). Suppose b - v = -b. Calculate the remainder when 46 is divided by b.
6
Suppose 11*p = 3*h + 14*p + 852, -4*h - p - 1121 = 0. Let s = -133 - h. What is the remainder when s is divided by 7?
6
Suppose -9*k = -13*k + h + 248, -5*h + 104 = k. Let f(d) = 4*d**3 + 2*d**2. What is the remainder when f(3) is divided by k?
62
Let k(d) be the second derivative of 9*d + 1/6*d**3 + 0 + 22*d**2 - 1/12*d**4. What is the remainder when 8 is divided by k(7)?
0
Suppose -7*h = -118*h - 156*h + 15486. Calculate the remainder when (-6)/4*458/(-3) is divided by h.
55
Suppose -8*r + 10*r - 2*c - 50 = 0, 0 = -5*r + 4*c + 122. Suppose -4*l + 0*l = -2*g + r, -5*g - 2*l + 103 = 0. Calculate the remainder when 33 is divided by g.
14
Let g(w) = 2*w**2 + 40*w + 13. Let q = -33 - -8. What is the remainder when g(q) is divided by 22?
21
Let b(i) = i**3 - 15*i**2 - i + 34. Let p(l) be the second derivative of -5*l**3/2 - 18*l. Let c be p(-1). Calculate the remainder when 54 is divided by b(c).
16
Let w be (-1296)/(-48) - (1 + 7). What is the remainder when 44 is divided by 332/16 + 5 + w/(-4)?
2
Let c = 8177 + -8146. What is the remainder when 234 is divided by c?
17
Let a(p) = 37*p**2 + 380*p - 1505. Calculate the remainder when a(4) is divided by 63.
40
Suppose -s + 2*j = -657, 0 = s + 4*j + 67 - 778. What is the remainder when s is divided by 325?
25
Let n(c) = c**3 - 24*c**2 - 106*c - 143. Calculate the remainder when 291 is divided by 