17*n + 148 + 379 = j. Calculate the remainder when n is divided by 22.
9
Let p(g) = 16*g**2 - 440*g - 667. Let z(d) = 3*d**2 - 4*d + 8. Calculate the remainder when z(6) is divided by p(29).
5
Suppose z = -3*z + 100. Let m = -163006 - -163301. Calculate the remainder when m is divided by z.
20
Suppose 0 = -3*d + 5*t + 118, -19*d + 24*d - 176 = -2*t. Suppose 7*w - 10*w + d = 0. Calculate the remainder when 70 is divided by w.
10
Suppose -25*r + 19*r = -12*r + 48. What is the remainder when 2253 is divided by r?
5
Let y(i) = i**3 - 12*i**2 - 2*i + 15. Suppose 63*c - 64*c = -12. Let o be y(c). What is the remainder when 56 is divided by -2 - (212/(-12) - 6/o)?
11
Let x = -1765 + 1860. What is the remainder when x is divided by 39?
17
Suppose 108 = q - 2*z, 57*z = -2*q + 54*z + 223. Calculate the remainder when q is divided by (1 - 0)*(-111)/(-3).
36
Calculate the remainder when 0 - (2 - (1032 - (-16)/8)) is divided by 65.
57
Suppose 18*c = 17*c + 72. Suppose 0 = 5*u + 5*v - 155 - 55, -4*v = -2*u + c. Let t = -28 + u. Calculate the remainder when 22 is divided by t.
10
Let v(l) = 20*l**2 + 2*l. Let n = -45156 + 45165. Calculate the remainder when v(3) is divided by n.
6
Let v(g) = -g**3 - 9*g**2 + 12*g + 5. Suppose 4 = o, y - o = -0*y + 40. Suppose -8*x + 4*x = y. Calculate the remainder when v(x) is divided by 39.
37
Suppose 0*x = 4*x - 124. Let j = 45 - x. Suppose 0*o + o = j. Calculate the remainder when 53 is divided by o.
11
Suppose 5 = -5*w + 5*t, -2*w + 7*t - 11*t + 4 = 0. Suppose 5*x + w*a = 2*a + 1116, -a + 226 = x. What is the remainder when x is divided by 39?
29
Suppose -115*a = -110*a - 20. Suppose 2*v - 122 = -a. What is the remainder when 353 is divided by v?
58
Suppose 0 = -20*p + 574 - 54. Suppose 4*m = 4*s - 52, -m = 6*s - 4*s - p. Calculate the remainder when 125 is divided by s.
8
Let o = 12860 - 12844. Suppose 4*u = -z + 36, 0*u + 15 = -3*u. Calculate the remainder when z is divided by o.
8
Let r = 17398 - 17059. Let x(c) = c**3 - 5*c**2 - 8*c + 7. What is the remainder when r is divided by x(7)?
45
Let n = -8870 + 9332. What is the remainder when n is divided by 226?
10
Let f = 202 + -199. Suppose 48 = -14*y + 18*y - 2*l, 41 = f*y - 4*l. What is the remainder when 30 is divided by y?
8
Suppose -1878 = 44*q - 5398. Calculate the remainder when 145 is divided by q.
65
Let d = -146 - -137. Let r(j) = -j**2 - 6*j + 48. What is the remainder when 167 is divided by r(d)?
20
Let u(o) = -25*o + 140. Let w be u(6). Calculate the remainder when 36 is divided by ((-8)/w)/(34/510).
0
Suppose -5*w = n - 114, 4 = n + w - 102. Suppose 5*m - n = -3*y + 2, -2*y = m - 66. What is the remainder when 74 is divided by y?
10
Let l be (20/(-25))/((-4)/20). Suppose 0 = -2*m - 4*b + 208, l*m = 4*b - 0*b + 380. Let d = -61 + m. Calculate the remainder when d is divided by 19.
18
Let u = -43 + 48. Let k(d) = -9*d**2 - 14*d + 4. Let c(g) = 4*g**2 + 7*g - 2. Let r(p) = u*c(p) + 2*k(p). Calculate the remainder when r(-7) is divided by 6.
5
Let c(z) = 220*z + 21. Calculate the remainder when 1425 is divided by c(0).
18
What is the remainder when 2154 is divided by ((-320)/(-140) - -2)/(3/126)?
174
Suppose 5*x - 3*m - 47 = 0, 4*m - 7 = -3*x + 27. Suppose 0 = 4*c + 1036 - 156. Let h = 258 + c. What is the remainder when h is divided by x?
8
Suppose -2*z - 1128 = 4*z. Let o = 37 - z. Suppose 6*q - 15*q + o = 0. Calculate the remainder when 95 is divided by q.
20
Let j(h) = h**3 + 38*h**2 + 73*h - 108. What is the remainder when j(-20) is divided by 62?
52
Let d be 211 - ((-221)/(-34) - 5/2). Let u = -113 + d. Calculate the remainder when u is divided by 51.
43
Suppose 96 = 136*y - 132*y. What is the remainder when 47 is divided by y?
23
Suppose -2*w + 609 = 3*g, -g - 389 = -5*w + 1108. Calculate the remainder when w is divided by 34.
28
Suppose -f = -6, 30 = -o - f + 78. Calculate the remainder when 1 - 2 - (0 + -83) is divided by o.
40
Let k(c) = c**3 - 8*c**2 - 55*c + 7. Let z be k(11). Let b = -228 - z. What is the remainder when 96 is divided by b?
5
Let j = 9360 - 8531. What is the remainder when 833 is divided by j?
4
Let j(x) be the third derivative of 3*x**5/20 + 13*x**3/3 - 3*x**2 + x. Calculate the remainder when j(-6) is divided by 88.
86
Let d = -52 + 92. Suppose -26 = -3*x + 12*l - 8*l, -x + 4*l + 6 = 0. Calculate the remainder when (-22)/55 - (-1574)/x is divided by d.
37
Suppose -4*i + 2*i = -18. Suppose 0*f - 162 = -i*f. Calculate the remainder when f is divided by 12.
6
Let x(u) = -170*u + 542. What is the remainder when 124 is divided by x(3)?
28
Let z(i) = 94*i - 1604. What is the remainder when z(33) is divided by 30?
28
Let m = 46 - -70. Suppose 13 = 2*c + 3*b - 17, 0 = -3*c + 4*b + 11. Let o = c + 30. Calculate the remainder when m is divided by o.
38
Suppose 0 = -4*p + 61 + 47. Suppose 0 = 3*v - 2*l - 0*l - 67, 2*l = -v + 9. Suppose v*o + 36 = 21*o. Calculate the remainder when p is divided by o.
9
Let q(k) = -30*k**2 - k - 7. Let l(v) = -90*v**2 - 20. Let p(d) = 3*l(d) - 10*q(d). What is the remainder when 88 is divided by p(-1)?
28
Let i(l) = 9*l + 141. Let o(k) = -k**2 - 2*k + 20. Let v be o(-5). Suppose h + v = 12. Calculate the remainder when i(-13) is divided by h.
3
Let r = -12124 + 12331. Calculate the remainder when r is divided by 64.
15
Let i(q) = 18 + 2*q - 42 + 101. What is the remainder when 426 is divided by i(-8)?
60
Let p = -685 + 1240. Calculate the remainder when 217 is divided by ((-74)/p - (-38)/(-15))*-39.
9
Suppose 6*c - 12*c = -12. Suppose -c*i - 3*i - j = -105, 2*i - 39 = -j. Calculate the remainder when 106 is divided by i.
18
Let c(d) = d**3 - 4*d**2 + d - 46. Calculate the remainder when 169 is divided by c(6).
9
Let p(a) = 88*a**3 - 8*a**2 + 12*a - 8. Calculate the remainder when 2068 is divided by p(2).
4
Suppose 4140 = -218*o + 238*o. Let h(x) = 2*x**2 - 4*x + 4. Let t be h(4). Suppose t*q + o = 23*q. Calculate the remainder when q is divided by 12.
9
Let b = -61 + 115. Let x be 1/(4/(-10))*12/10. What is the remainder when b is divided by 7 - -2 - x/1?
6
Suppose y - 2*p + 77 = 169, 3*y - p - 231 = 0. What is the remainder when y is divided by 24 + -2*(-2)/4?
24
Let o be (-2)/15 + 0 - (-2288)/(-390). What is the remainder when 112 is divided by ((-1)/(3/o))/((-7)/(-140))?
32
Let v(s) = -s**3 + 11*s**2 - 15*s - 30. Let b be v(8). Suppose -90*y - b = -93*y. What is the remainder when 82 is divided by y?
12
Suppose -12578 = -13*h + 961 + 2178. What is the remainder when h is divided by 15?
9
Suppose 3321 = 179*v + 78 - 1411. What is the remainder when v is divided by 25/(-20)*2*-10?
1
Let n = -14151 + 14161. What is the remainder when (0 - -1) + 1 + 27 is divided by n?
9
Suppose 12 = -2*i + g + 56, -4*i + 92 = -4*g. Suppose -2*d + 234 = -4*n, -4*d - 4*n - i = -477. What is the remainder when d is divided by 30?
25
What is the remainder when 184/(-32) + 5 - (-25802)/56 is divided by 116?
112
Let m = -18680 - -19775. What is the remainder when m is divided by 298?
201
Suppose -29*w + 2088 = 2*w + 41*w. Calculate the remainder when 1969 is divided by w.
26
Let x be ((-15)/25)/(2/(-380)). Suppose 63*g - 66*g + x = 0. Calculate the remainder when 187 is divided by g.
35
Let y = -28678 - -28700. What is the remainder when 8929 is divided by y?
19
What is the remainder when (13 - 12)*(482/8)/(2/8) is divided by 61?
58
Suppose -2*p - 1 - 1 = 3*n, 3*p + 4*n = -1. Calculate the remainder when p is divided by (236/(-32) + 7)*40/(-3).
0
Let h be (4 + 414/(-27))*-33. Suppose -79*y = -62*y - h. Calculate the remainder when y is divided by 5.
2
Suppose 6706 = 130*a - 22*a + 1738. Calculate the remainder when 409/4 - (-2)/(-8) is divided by a.
10
Let b = 18 - 13. Suppose 100 = 5*q + b*n, -3*q + 20 = -6*n + n. Suppose -l + 41 = w, 23*w - 18*w - 212 = 2*l. What is the remainder when w is divided by q?
12
Suppose 1598 = 5*t + 2*v, 11*t + v = 5*t + 1905. Calculate the remainder when t is divided by 1/2 - 182/(-4).
40
Let n = -12 + 15. Suppose n*i = -i + 1820. Suppose 4*d + i = 3*v, 304 = 3*v - v - 3*d. Calculate the remainder when v is divided by 38.
35
Suppose 0 = -5*p - 2*i + 54, 2*p - 18 = i - 0*i. Suppose -652 + 400 = -3*c. What is the remainder when c is divided by p?
4
Let b be (-24)/156 - (-67)/13. Suppose -b*w - 5*t