15 = 0. Calculate the remainder when 63 is divided by f.
11
Suppose -5*k + 5*u - 40 = 0, -u + 54 = 2*k + 4*u. What is the remainder when k is divided by (1 - 1 - -1) + 1?
0
Let j(h) = h**2 + 47*h - 234. Let q(g) = -6*g - 2. Calculate the remainder when j(5) is divided by q(-2).
6
Let t(x) = -x**2 - 15*x - 32. Let j be t(-12). Suppose 0*u - u = -j*c - 25, 0 = -2*c. What is the remainder when ((-276)/2)/(-3) - -2 is divided by u?
23
Let k = -452 + 228. What is the remainder when 140 is divided by 3/(-18)*-4 + k/(-6)?
26
Let z = 35 - 9. Let j = 1 - -1. Suppose d = -2*f + 80, -f - j*f + 82 = d. Calculate the remainder when d is divided by z.
24
Suppose t + t - 6 = 0. Suppose -17*s - 212 = -19*s. Suppose 42 = d + t*n, n + s = 3*d + 6*n. Calculate the remainder when 132 is divided by d.
24
Let c = -8 - 1. Let y(t) = 19 - 7*t**2 + 10*t - t**2 - t**3 - 5. Calculate the remainder when y(c) is divided by 4.
1
Suppose 0*o + o = 12*o. Suppose -5*b - 3*z + 36 + 10 = 0, o = -4*b + 4*z + 56. Suppose 3*r - 10 - b = 0. What is the remainder when 27 is divided by r?
6
Suppose 79 = p + 41. Let c = p - 45. Let n(f) = -f**3 - 6*f**2 + 2*f - 5. Calculate the remainder when n(c) is divided by 8.
6
Suppose -9*l + 6612 = 38*l + 10*l. What is the remainder when l is divided by 34?
14
Suppose -4*x - 52 = -5*k, 0 = -k + 2*k - 2*x - 14. Suppose -28*u + 1308 = -512. Suppose -u = -55*t + 50*t. What is the remainder when t is divided by k?
5
Let x = -111 + 135. Suppose -x*c + 1142 = 326. Calculate the remainder when 67 is divided by c.
33
Let w(z) = -264*z + 1863. Calculate the remainder when 490 is divided by w(7).
10
Let t = -54 + 74. Suppose 5*q = 3*b + 397, -19*q + t*q - 5*b - 75 = 0. What is the remainder when q is divided by 14?
10
Let b(j) = j + 12. Suppose 4*t = 78 + 114. Let q be (-36)/t - 47/(-4). What is the remainder when b(q) is divided by 8?
7
Suppose 63 = 2*l - 45. What is the remainder when l is divided by -32*(-11)/(-22) + (28 - 4)?
6
Let v(p) = 3*p**2 + 7*p + 9. Let x be v(-3). Suppose 3*b - 4*d - d = 57, -b = -3*d - x. Suppose -30 = -2*t + 50. Calculate the remainder when t is divided by b.
16
Let k = 180 - -60. Suppose -k = -78*l + 72*l. Calculate the remainder when l is divided by 8.
0
What is the remainder when (-90)/(-2)*(712/20 - 14) - -1 is divided by 60?
13
Let b(v) = 2*v**2 - 67*v - 304. What is the remainder when 908 is divided by b(38)?
34
Let g be (-14)/70 + (4/5)/(-1). Calculate the remainder when 173 is divided by 11 - 0/(g - 1).
8
Let k = 23 + 6. Let v = 2293 + -2278. What is the remainder when k is divided by v?
14
Suppose -19*r + 223 = -22 - 78. What is the remainder when 213 is divided by r?
9
Let n = -39 + 90. Calculate the remainder when n is divided by (-2344)/(-80) - 9/30.
22
Calculate the remainder when 87/(-174) + 6732/8 is divided by 15.
1
Let a(r) = 30*r + 201. Let p be (-255)/45 + 5/3. Calculate the remainder when 319 is divided by a(p).
76
Let w(l) = -l**3 - 16*l**2 + 35*l - 12. Let r be w(-18). Let i(v) = 47*v + 2. Calculate the remainder when i(2) is divided by (-315)/(-42)*16/r.
16
Suppose -4*o + 224 = -5*m, -3*m + 195 = -2*o + 5*o. Let d = 37 - o. What is the remainder when 30*35/63*d/(-10) is divided by 7?
5
Suppose -302 - 6994 = -192*v. What is the remainder when 2391 is divided by v?
35
Suppose -2*r + 504 = -c + 3*c, -r = 4*c - 999. Let n = c - 231. What is the remainder when 208 is divided by n?
10
Suppose 7184 = -64*w + 80*w. Let m = w + -325. What is the remainder when m is divided by 55?
14
Calculate the remainder when 2406 is divided by (-9)/6*4648/(-84).
82
Let w(l) = 2*l**2 + 11*l + 5. Suppose -26418 = -100*u - 2*u. Calculate the remainder when u is divided by w(-7).
25
Let s(v) = 9*v**3 - 9*v**2 + 40*v + 9. What is the remainder when s(5) is divided by 3?
2
Let b(q) = 7*q - 63. Let r(o) = 3*o - 31. Let u(s) = 6*b(s) - 13*r(s). Calculate the remainder when u(3) is divided by 12.
10
Suppose 5*k - 5*f = -22 - 18, -5*f = 4*k - 4. Let d = k + 19. Suppose 0 = 3*u - 15, 5*u - 154 = -2*l - l. What is the remainder when l is divided by d?
13
Suppose -2*f = 2*m - 14, -2*f + 0*m = -4*m - 14. Suppose 195 + 288 = f*g. Suppose -2*z + g = -29. What is the remainder when z is divided by 26?
23
Let v = -2506 - -2557. What is the remainder when 1987 is divided by v?
49
Suppose -3*u + 60 = -4*y, 2*u - 45 = -u - y. Suppose 17*a - 250 = 4*a + 153. What is the remainder when a is divided by u?
15
Let g be -2 - (-1)/((-6)/(-12)). Suppose 0 = -g*b - 4*b + 76. Calculate the remainder when 151 is divided by b.
18
Let i(m) = -1 + 41*m - 5 + 4. Suppose -19 = h - 50. Calculate the remainder when i(3) is divided by h.
28
Suppose 14*x = 126 + 266. Calculate the remainder when 10/4*1008/60 is divided by x.
14
Suppose -14205 = -44*c + 18575. Calculate the remainder when c is divided by 22.
19
Let j(h) = 17*h + 271. Let z be j(31). Let k = z + -501. What is the remainder when k is divided by 23?
21
Let c(k) be the third derivative of k**5/60 + 23*k**4/24 - 61*k**3/6 - 2*k**2 - 29*k. Calculate the remainder when 101 is divided by c(-26).
16
Let q be -1*3*-5*1. Suppose 5*g = m - 26, 0 = -3*g + 8*g + q. Suppose 18 = -10*z + m*z. Calculate the remainder when 106 is divided by z.
16
Suppose 0 = z + 16 - 24. Suppose -13 = -4*k + 3*k - 5*v, 2*v + 11 = 5*k. What is the remainder when z is divided by k?
2
Suppose -225*i = -220*i - 150. Calculate the remainder when 498/(-24)*(-4)/1 is divided by i.
23
Let s(r) = -r**3 + 16*r**2 + 35*r + 18. Let v be s(18). Suppose -t + 120 = 2*u, 3*u + 30*t - 28*t - 182 = v. Calculate the remainder when u is divided by 24.
10
Suppose 339*l = 249*l + 7110. Let q(j) = -j**3 + j**2 - 4*j - 3. What is the remainder when l is divided by q(-3)?
34
Suppose -4*o - 5*l = -273, 38*o = 40*o + l - 141. Calculate the remainder when 1007 is divided by o.
71
Suppose 338*j - 336*j - 52 = 0. Calculate the remainder when 472 is divided by j.
4
Suppose 3*z + 3 - 1 = -5*c, 0 = -4*z + 2*c + 6. Suppose -5*m - 65 = 5*s - 215, 0 = 3*m - 26 + 8. What is the remainder when z/(2/(-4)) + 93 is divided by s?
19
Suppose 331 = -16*v + 203. Let j = 83 + v. What is the remainder when j is divided by 41?
34
Suppose -26 + 154 = 16*f. Let o(q) = -q**2 - 5*q + 1. Let z be o(-4). Suppose z*y = 2*y + 87. What is the remainder when y is divided by f?
5
Let c(w) = 31*w + 327. What is the remainder when c(-8) is divided by 73?
6
Calculate the remainder when (5/(-3) + 2)*73/(219/8784) is divided by 142.
124
Let o(f) = 54*f + 36. Let g(x) = 7*x - 1. Let v(m) = -4*g(m) + o(m). Calculate the remainder when 63 is divided by v(-1).
7
Let t be (-6)/(-4)*64/(-72)*-3. Suppose 3*b - 13 = -t*h + 19, 3*b = 3*h - 3. What is the remainder when 79 is divided by h?
4
What is the remainder when 4209 is divided by 51/34 - (116/(-8) + -3 + 1)?
15
Suppose 15090*z + 20995 = 15103*z. Calculate the remainder when z is divided by 17.
0
Suppose 0 = 259*b - 536*b + 263*b + 3206. What is the remainder when 712 is divided by b?
25
Suppose 1678 = 5*v - 2*r, 2*v + 172 = 5*r + 860. Let i = v - 285. What is the remainder when 144 is divided by i?
46
Let z = 544 - 544. Suppose z = 280*w - 268*w - 348. What is the remainder when 35 is divided by w?
6
Let k = -1730 + 2079. What is the remainder when k is divided by 89?
82
Let b(o) = 734*o - 4151. Calculate the remainder when 1259 is divided by b(6).
247
Let c(i) = -5*i - 8. Let y(s) = 29*s + 48. Let b(n) = 34*c(n) + 6*y(n). What is the remainder when 28 is divided by b(-2)?
4
Suppose -3*i + g + g = -45, 40 = 2*i + 2*g. What is the remainder when -11*8/(-176)*(162 + 0) is divided by i?
13
Suppose -5*f - 2*u + 56 = 0, f - u - 9 = -2. What is the remainder when f is divided by 2?
0
Suppose -216*i + 217*i = 211. Let l = -143 + i. Calculate the remainder when l is divided by 15.
8
Let r = 10 + 47. Let d(j) = 13*j - 7. Calculate the remainder when d(9) is divided by r.
53
Suppose -646*n + 5*c = -651*n + 310, 0 = -5*c + 20. Calculate the remainder when 327 is divided by n.
37
Let m = -115 + 239. Suppose -4*p + 4*v = -m, -3*p - 21 = 3*v - 138. What is the remainder when p is divided by 14?
7
Let v be ((-46)/(-8))/(13/936). Let n = 476 - v. What is the remainder when 182 is divided by n?
58
Suppose 2*t - 16 = -5*p, 80*p = -t + 81*p + 15. What is the rema