4*k + 4. What is the remainder when t is divided by 55?
47
Suppose 241*n = 249*n - 56. What is the remainder when (-15060)/(-100) + 6/(-10) is divided by n?
3
Suppose -n - 3032 = 3*n + m, 3*n + 2289 = 3*m. What is the remainder when 52 is divided by (7 - n/(-55))/(4/(-10))?
1
Let w = 19322 + -18569. What is the remainder when w is divided by 166?
89
Suppose 0 = 13*d + 5*d - 11014 - 10856. Calculate the remainder when d is divided by 32.
31
Suppose c - 79 = -4*z, -23*c + 124 = -22*c - 5*z. Calculate the remainder when 180 is divided by c.
81
Suppose -35*i + 32*i + h = -51, 4*i + 2*h - 78 = 0. Suppose -2*o = -3*o, -5*m = 4*o - 35. Let x = m + 26. What is the remainder when x is divided by i?
15
Let u(y) = 6*y**2 + y + 3. Let o(x) = 2*x**3 + 46*x**2 + 212*x - 502. Calculate the remainder when o(-13) is divided by u(3).
2
What is the remainder when ((-3)/(-4) + 12/48)*283/1 is divided by 159?
124
Suppose 6*i - 269 + 95 = 0. Suppose -i = -3*x - 5. Let w = 107 - 70. Calculate the remainder when w is divided by x.
5
Suppose -c + g + 32 + 12 = 0, -2*g = -c + 45. Let d(w) = -13*w + 491. Let i be d(41). Let z = c + i. Calculate the remainder when z is divided by 1.
0
What is the remainder when 118/(1450/90 - 16) is divided by 19?
17
Let s = -7073 - -7115. Calculate the remainder when 836 is divided by s.
38
Suppose 19*z - 55520 = -19800. Calculate the remainder when z is divided by 33.
32
Suppose 4 = -p, -2*v - 3*v + 541 = -4*p. Suppose 18*x + 3*x - v = 0. What is the remainder when 49 is divided by x?
4
Suppose -164*m = 2*w - 168*m - 188, -412 = -4*w - 4*m. What is the remainder when w is divided by 56?
44
Suppose 218*r - 110*r - 103464 = 0. Calculate the remainder when r is divided by 312.
22
Let o(k) = -98*k - 137. Calculate the remainder when o(-15) is divided by 56.
45
Suppose 0 = -11*v - 2*v + 4342. Let q = -252 + v. Calculate the remainder when q is divided by (0 - -24) + (-3 - -2).
13
Suppose 2*o - 3*w = 45 + 4, 4*w - 65 = -5*o. Let i = -356 - -364. What is the remainder when 4 - (i - 14)*(-21)/(-2) is divided by o?
16
Let m be (3 - 28/1)/(3/6). Let i = 6 - m. What is the remainder when i is divided by 21?
14
Let g = -755 - -771. Suppose -5*v + 73 = 2*q, g*v = 13*v - 3*q + 42. Suppose 6 = 3*s - s. What is the remainder when v is divided by s?
0
Suppose -4*t + q = -10, -q + 5*q = -8. Suppose t*o - o = 0. Suppose -3*z = 20 - 8, o = d - 2*z - 51. Calculate the remainder when d is divided by 15.
13
Let n(t) = -t**3 - 5*t**2 - 3*t + 7. Let a be n(-4). Suppose -5*h = 3*o + 39, o - a = 2*h + 6. What is the remainder when 67/(-2)*(-2)/(-3)*h is divided by 34?
32
Suppose 16*x - 23 = 15*x. Let q(r) = r**3 + 15*r**2 + 8*r - 15. Calculate the remainder when q(-12) is divided by x.
22
Let w = 95 - 82. What is the remainder when w*-4*143/(-22) is divided by 10?
8
Let m(r) = -63*r**3 + r**2 + 3*r + 2. Suppose 5*s = 2*n - 7, 0 = -5*s - 16*n + 13*n - 2. Calculate the remainder when 250 is divided by m(s).
61
Let h(f) = -f**2 + 29*f + 1331. Calculate the remainder when h(51) is divided by 7.
6
Let c = 136 - -281. Calculate the remainder when c is divided by 14.
11
Suppose 0 = -8*p + 608 + 1072. Calculate the remainder when p is divided by 83.
44
Let n(f) = -f**3 + 10*f + 10. Suppose -3*a + 23 = 41. What is the remainder when n(a) is divided by 24?
22
Let b(q) = -314*q + 1624. Calculate the remainder when b(-5) is divided by 15.
14
Let m = 1211 - -184. Suppose 9*y - m = 1206. Calculate the remainder when y is divided by 58.
57
Suppose -v + 2*y + 203 = 0, -3*v + 602 = -2*y - 5*y. Suppose -5*s = t - 56, 3*t - 168 = -2*s - 0*s. What is the remainder when v is divided by t?
49
Suppose 0 = -5*f - m + 106, f - 87*m + 83*m - 38 = 0. Calculate the remainder when 899 is divided by f.
19
Let x be 5/(-50)*4 - 118/5. Let s = 63 + x. Let g(l) = -8*l**3 - 4*l**2 - 3*l + 3. What is the remainder when g(-3) is divided by s?
36
Suppose 0 = -2*s + 33 + 31. Let g = 384 + -661. Let q = g - -287. What is the remainder when s is divided by q?
2
Let h = 17 + -17. Suppose h = 8*l - 13*l + 35. Calculate the remainder when (50/(-8))/(1/(-4)) is divided by l.
4
Let s = 2 - -8. Suppose 3*o + 0*o = -a + 45, -3*o + 39 = 3*a. Calculate the remainder when o is divided by s.
6
Let f(a) = -a**3 + 4*a**2 - 3*a + 28. What is the remainder when 144 + (-7)/3 + 6/18 is divided by f(4)?
14
Suppose -2*s = 7*s - 11349. Suppose -60*p = -47*p - s. What is the remainder when 184 is divided by p?
87
Suppose 3*p - 8 = 1, -p = -2*y + 1. Suppose -3*r + 60 = y*m + 2*m, 0 = 2*m - r - 40. Calculate the remainder when 48 is divided by m.
12
Let w = 1931 + -1912. What is the remainder when 190/7 + -4 + (-135)/(-35) is divided by w?
8
Suppose 108 = 5*u + 7*u. What is the remainder when ((-4662)/(-35))/u + (-5)/(-25) is divided by -2 + (1 - 0) + 4?
0
Let m(x) = 59*x**2 - 998*x - 20. Calculate the remainder when m(30) is divided by 174.
172
Suppose -3*o + 2 = 10*h, -4*o = -179*h + 184*h - 61. Let d(c) = 3*c**3 + 3*c - 2. What is the remainder when d(3) is divided by o?
16
Let t = 13540 - 13407. What is the remainder when t is divided by (-1 + 24)/((-2)/(-4))?
41
Suppose 194*i - 312930 + 10807 = 41257. What is the remainder when i is divided by 48?
42
Let m = -48052 + 48099. Suppose 4*g - 5 = 3*n, -n + 14 = -2*g - 5*n. What is the remainder when m is divided by 17*(1 + 1 + g)?
13
Let d(m) = 163*m**2 - 480*m - 3. Calculate the remainder when d(4) is divided by 78.
61
Suppose -4*l + 2*l - 4*v + 24 = 0, -3*l - v + 36 = 0. Suppose -293 = -5*j + 3*k, -k = l*j - 9*j - 173. What is the remainder when j is divided by 21?
16
Suppose 0 = 158*p + 399 - 1979. What is the remainder when 6316 is divided by p?
6
Suppose 3*b - 6 = 0, -3*g - 6*b + 141 = -3*b. What is the remainder when 195 is divided by g?
15
Let p be 0/(-2) - (-6 + 8 + -4). Suppose -3*y - 82 = -5*j, -5*y + 30 = p*j - 9. Calculate the remainder when 115 is divided by j.
13
Let v(g) = 20*g - 43. Let d be v(7). Suppose -117*b + 560 = -d*b. Calculate the remainder when 195 is divided by b.
27
Suppose 10*n = 920 + 40. Suppose n = 3*v + 285. Let q = -44 - v. Calculate the remainder when q is divided by 7.
5
Suppose 2*v - 2 = -10, q - 80 = 3*v. Suppose 10*c + q = 12*c. What is the remainder when 168 is divided by c?
32
Suppose 0*s - 4*h + 12 = -2*s, 5 = 5*h. Let j(g) = g**3 + 8*g**2 - g - 11. Calculate the remainder when j(s) is divided by 12.
9
Let v(p) = -p**3 - 2*p**2 - 4*p - 10. Suppose -40 = 2*g - 32. Calculate the remainder when 265 is divided by v(g).
37
Let a = 64 - -69. Suppose -5*f + 32 = v - 120, -5*f + 142 = -4*v. What is the remainder when a is divided by f?
13
Let z be (-1 + 16)/(0 + 3/(-62)). Let l = z - -405. Calculate the remainder when l is divided by 29.
8
Suppose -382*a = -381*a - 19. What is the remainder when 847 is divided by a?
11
Suppose 22*y - 23*y - 992 = -4*l, -5*l + 1240 = 2*y. Suppose -3*g + 7*g + 3*i = l, 3*i + 272 = 4*g. Calculate the remainder when g is divided by 27.
11
Let r = -6699 + 6726. What is the remainder when 1670 is divided by r?
23
Let a be (3/6 + -1)*4. Let v = 63 + -48. What is the remainder when (-29)/(1/a*2) is divided by v?
14
Let v = 0 + 9. Let s = -379 + 129. Let n = s + 274. What is the remainder when n is divided by v?
6
Let s = 22450 + -21602. Let g(p) = 3*p - 4. Calculate the remainder when s is divided by g(9).
20
Suppose -73*g + 24 = -67*g. Suppose x - 25 = -g*f, 4*x - 4*f = 30 + 30. Calculate the remainder when 118 is divided by x.
16
Let w(c) = 12*c**2 - 21*c + 24. What is the remainder when w(9) is divided by 81?
78
Let a = 148 + -6. Let b = 108 - 71. Suppose b = -5*p + a. What is the remainder when p is divided by 11?
10
Let u(j) = -8*j + 413. Let n be u(51). Suppose 18*x = n*x + 3432. What is the remainder when x is divided by 2 - 2/2 - -52?
52
Let w be 10/5*(-227)/(-4)*-2. Let f = 241 + w. Suppose 0 = 2*s - k - 3, -2*k - 10 = -5*s. What is the remainder when f is divided by s?
2
Let h(d) = d**2 - 22*d - 46. Let l be h(24). Calculate the remainder when 25 is divided by (-265)/(-106)*1/(l/4).
0
Suppose -3*f = -3*a - 1875, -3*f - 9*a + 1869 = -14*a. Let s = 690 - f. Calculate the remainder when s is divided by 21.
20
Calculate the remainder when 10268 is divided by (-10)/((-15)/(-18)*(-51)/68).
12
Let o(u) = 3*u