a(m) = 117*m - 1806. What is the remainder when a(17) is divided by 23?
22
Suppose -2*t + 2*o = -4, 3 - 18 = -5*o. Suppose 16 = 3*p + p, -2*f - t*p + 944 = 0. What is the remainder when f is divided by 31?
28
Suppose -12*m = -7*m + 4*a - 11, -2*a + 1 = m. What is the remainder when 3926 is divided by m?
2
Let a = 49 - 51. Let f(y) = -6*y + 2. Calculate the remainder when 72 is divided by f(a).
2
Suppose -8 - 73 = -3*j. Let o = 51511 - 51490. What is the remainder when j is divided by o?
6
Suppose 7*l = 3*l + 84. Let g = -183 + 180. Let d = 84 + g. What is the remainder when d is divided by l?
18
Let z(u) = -4*u**3 - 168*u**2 - 10*u - 313. What is the remainder when z(-42) is divided by 35?
2
Suppose -135 = -y - 4*r, -5*r = 3*y - 4*y + 108. What is the remainder when y is divided by (406/464)/(2/16)?
4
Suppose 2*z - 94 = 4*l + 58, 134 = 2*z + 5*l. Suppose -19*b - z = -13*b. Calculate the remainder when 64 is divided by b/9*(-3)/8*34.
13
Suppose 127 = v - 0*v. Calculate the remainder when v is divided by 34 + 89/(3204/(-432)).
17
Suppose -11 = -20*m + 49. Suppose -320 = -m*g - 2*n, 4*g + 0*n - 426 = -3*n. What is the remainder when 429 is divided by g?
105
Suppose -4*i - m = 186, 2*m - 23 = 2*i + 65. Let w be (4 - -14)*i/(-6). Let h = w - 68. What is the remainder when h is divided by 12?
10
Let f = 76 + -351. Let m = 327 + f. Calculate the remainder when m is divided by 22.
8
Suppose -186*l + 274937 = 40*l - 70165. What is the remainder when l is divided by 45?
42
Suppose -444*y + 449*y = 3115. Suppose 3*o - y = -143. What is the remainder when o is divided by 41?
37
What is the remainder when 2815 is divided by (-57)/(-114) + 1/(-2) + (22 - 0)?
21
Suppose -4*c + 701 = -3*k, c + 4*c = 2*k + 871. Suppose -3*x + 97 + 9 = -4*d, -4*x - d + c = 0. What is the remainder when 419 is divided by x?
41
Let n = 18927 + -18801. What is the remainder when 1549 is divided by n?
37
Let d(h) = -13*h + 1. Let u be d(-3). Let v = -28 + u. Suppose 0 = 21*w - 110 - 37. What is the remainder when v is divided by w?
5
Let v = 4068 + -3395. Calculate the remainder when v is divided by 66.
13
Suppose -19*x + 16*x = -156. Suppose 0*d + 3*d + x = l, 0 = 4*d + 5*l + 82. Let f(j) = -j**2 - 21*j - 41. Calculate the remainder when f(d) is divided by 5.
3
Let f(r) = -r + 1. Let p be f(-4). Suppose 8*a - p - 3 = 0. What is the remainder when ((-16)/20)/(a/(-80)) is divided by 22?
20
Let v = 319 + -317. Let t(l) = 32*l + 35. Calculate the remainder when t(v) is divided by 25.
24
Let g = 5062 + -4824. Calculate the remainder when 668 is divided by g.
192
Let w = 5842 + -5761. Suppose 4*o = 3*q + 2 - 177, 0 = -5*q - 4*o + 281. What is the remainder when w is divided by q?
24
Suppose -4*a - 36 = 2*i - 0*a, -36 = 2*i + 2*a. Let s be (12/i)/((-88)/(-30) - 3). Let y = 29 + s. Calculate the remainder when y is divided by 10.
9
Let u = 12867 - 12815. Calculate the remainder when 29533 is divided by u.
49
Suppose -c = 2*c. Suppose c*s - 2*s = -16. Let b(j) = j**2 - 5*j + 5. Calculate the remainder when 113 is divided by b(s).
26
Suppose 4*q = 2*j + 36, -21 = -2*q + 13*j + 21. Let a(f) = 13*f + 1. What is the remainder when a(4) is divided by q?
5
Let z(v) = 11*v**2 + 18*v - 146. Calculate the remainder when z(6) is divided by 7.
1
What is the remainder when 264 is divided by 262/21 + (-876)/(-1022) + 4/6?
12
Let g be 4/(1/(-57) - 0). Let b = 497 + g. Suppose -x - 9*k + 7*k + 43 = 0, -3*k - 138 = -3*x. Calculate the remainder when b is divided by x.
44
Let m = -10369 - -10390. Calculate the remainder when (-32)/6*90/(-4) is divided by m.
15
Suppose 5 = -4*l + 13. Suppose -5*c = b - 38, c = -0*c + l. Let v(q) = -q**2 + 8*q + 3. Calculate the remainder when b is divided by v(7).
8
Suppose -42*l = -1185 - 1293. What is the remainder when 150 is divided by l?
32
Let d = -39 - -38. Let m be 54/(-42) - d*(-2)/(-7). Let s = m - -11. Calculate the remainder when 48 is divided by s.
8
Let g = -9843 - -9887. What is the remainder when 1801 is divided by g?
41
Let t(i) = 197*i - 298. What is the remainder when 129 is divided by t(2)?
33
Let p = 103 + -89. Let j(z) = -z**3 - 6*z**2 - 4*z + 7. Let h be j(-5). What is the remainder when p is divided by (-2 - -1)*-2*h?
2
Let c(s) = -s**3 + 21*s**2 - 74*s - 55. Calculate the remainder when c(14) is divided by 81.
38
Let h(v) = -v**2 - 4*v + 8. Let n be h(6). Let y = n + 127. What is the remainder when y is divided by (-4)/(-34) + (-24300)/(-1530)?
11
Let u = -246 - -265. Calculate the remainder when 1 - 5716/(-34) - 22/187 is divided by u.
17
Calculate the remainder when 140 is divided by (693/84)/(1/8).
8
Suppose -117 = -9*z - 4*z. Suppose 5*h = -0*u - u + 1, z = u + h. What is the remainder when 92 is divided by u?
4
Let f(t) = t**2 - 8*t - 3. Let c be f(8). Let l be ((-21)/3 - c)/2. What is the remainder when 48 is divided by 45/27*(-12)/l?
8
Let p = 137 + -127. Calculate the remainder when 202 is divided by (6/p)/((0 + 5)/425).
49
Suppose 3465 = 28*w - 12327. Calculate the remainder when w is divided by 41.
31
Suppose 4*b + c = 1, -5*b - 2*c = 1 - 0. Suppose -423*g + 261 + 110 = -1321. What is the remainder when 46/(((-2)/(-2))/b) is divided by g?
2
Let t(q) = 4*q**2 - 4*q + 5. Let b(w) = 14*w + 56. Let n(o) = -o**3 + 3*o**2 + 15*o - 48. Let d be n(3). What is the remainder when t(4) is divided by b(d)?
11
Suppose -352 - 88 = -22*m. Calculate the remainder when 273 is divided by m.
13
Suppose -732 = r - 4*u - 820, -4*r - 3*u + 314 = 0. What is the remainder when 126 is divided by r?
46
Let o be (0 + -3)/((-72)/96). Suppose 3*l - 22 = -u, -o*u + 3*l + 88 = l. What is the remainder when 87 is divided by u?
21
Let g be (-4)/1 + (-2)/(12/474). Let m = -75 - g. Suppose 4*b - 3*p = -m*p + 80, 0 = -5*p + 20. Calculate the remainder when 54 is divided by b.
9
Let b = -233 + 239. Let o(j) = j**3 - 3*j**2 + 13*j - 24. Calculate the remainder when o(b) is divided by 42.
36
Let f(s) = s**3 - 4*s**2 + s - 9. Calculate the remainder when f(5) is divided by (1 - -2 - 5)/((-21)/42).
1
Suppose -5*v = -4*u - 94, -4*v + 2*v + 86 = -6*u. Suppose 4*o - 2*i - 228 = 0, -i + 238 = 4*o + 2*i. Calculate the remainder when o is divided by v.
8
Suppose -7690*b + 7691*b - 67 = 0. Calculate the remainder when 2140 is divided by b.
63
Let k = -17210 - -17308. What is the remainder when k is divided by 25?
23
Let w(f) = 1711*f - 313. Calculate the remainder when w(1) is divided by 35.
33
Suppose 5 = 2*x - 7. Calculate the remainder when (-1 - 1) + 58 + (52 - (89 - 45)) is divided by x.
4
Suppose -7 = -2*r + 1, -r - 41 = -3*q. Suppose 13*l = q*l - 8. Suppose -238 = -l*k + j - 4*j, -4*k - 2*j = -240. What is the remainder when 120 is divided by k?
59
Suppose -5*d = -3*i - 302, -5*d = i + 4*i - 270. Let m = d + -41. Suppose 2*r = -t + 25, 3*r + 142 = 5*t + m. Calculate the remainder when 121 is divided by t.
21
Let f = -1794 - -2748. Suppose -9*r + 8*r = 5*b - f, 2*b + 5*r = 377. Calculate the remainder when b is divided by 48.
47
Let v(o) be the first derivative of 2*o**3/3 - o**2/2 + 24*o + 4. Calculate the remainder when v(8) is divided by 37.
33
Suppose 588*n = 563*n + 3050. Let g = -62 - -87. What is the remainder when n is divided by g?
22
Suppose 4*x + b - 9 = 3*x, 0 = 4*x - b - 11. Suppose -v + 35 = -2*a, 0*v = -4*v - x*a + 200. What is the remainder when 86 is divided by v?
41
Suppose -5*k + 7 = -3. Suppose 6*v + 2*w - 30 = 4*v, -37 = -k*v + 5*w. Calculate the remainder when v is divided by (-295)/(-60) - (-1)/12.
1
Suppose k + h = -3*h - 10, h - 5 = -4*k. Suppose 0 = k*p + 217 + 9. Let f = -86 - p. Calculate the remainder when f is divided by 17.
10
Let r(o) = -262*o + 7961. Calculate the remainder when r(27) is divided by 110.
7
Let t(r) = -111*r - 4. Let i(l) = 17*l**2 - 8*l + 1. Let u be i(2). Let y = u + -54. Calculate the remainder when t(y) is divided by 27.
26
Let o(r) = 2*r**2 + 2*r + 401. What is the remainder when o(-42) is divided by 52?
49
Let k = 27 - 36. Let f be (k/(-2))/(-3 - 42/(-12)). Suppose c + 40 = f*c. Calculate the remainder when 18 is divided by c.
3
Suppose 3*u + 10 = 19. Suppose k - 265 = -3*k + 3*s, 204 = 3*k + u*s. What is the remainder when k is divided by 35?
32
Suppose 1328*y + 10101 = 1365*y. Calculate the remainder when y is divided by