. Let c = z - 1. Calculate the remainder when c is divided by 23.
16
Suppose -d = -3*b + 36, d - 2 = b - 4*d. Calculate the remainder when (-3)/((-10)/(2640/18)) is divided by b.
5
Let f = 8916 - 8898. What is the remainder when 562 is divided by f?
4
Suppose -6*q = -2288 + 794. Let t = -138 + q. Calculate the remainder when t is divided by 38.
35
Suppose 0 = -p - k + 14, 0*p = -p + 2*k + 20. Let v = 100 - 24. Calculate the remainder when v is divided by p.
12
Let g = 3 + 1. What is the remainder when (-5 - -217) + (-110)/10 is divided by g?
1
Let i = 178 + -175. Calculate the remainder when 111 is divided by (-1 + i)/2 + 18.
16
Let z(r) = 9*r + 52. Let y be 34/51 - (34/6)/1. Calculate the remainder when 41 is divided by z(y).
6
Calculate the remainder when (7 + (-170 + -10)/9)*-5 is divided by 33.
32
Suppose -11*f = -20 - 2. Suppose 0 = 5*j - 10, 5*j + 24 + 0 = f*r. Calculate the remainder when 95 is divided by r.
10
Let q(h) = 7*h**2 + 2*h - 24. Let f(g) = 6*g**2 + g - 24. Let d(b) = -2*f(b) + 3*q(b). Calculate the remainder when d(3) is divided by 9*-3*8/(-6).
33
Suppose 3*l = -5*x - 48, 0 = 3*l - 4*x + 13 + 35. Let t be 117/4 + 2/(-8). Let n = t + l. Calculate the remainder when 23 is divided by n.
10
Let x(i) = -i**3 - 12*i**2 - 2*i - 24. Let q be x(-12). Suppose q = -10*h + 152 + 208. What is the remainder when 101 is divided by h?
29
Let s = 9993 - 9709. What is the remainder when 1144 is divided by s?
8
Suppose 28*t - 1229 - 3111 = 0. Calculate the remainder when 431 is divided by t.
121
Let c = -4667 + 5079. Calculate the remainder when c is divided by 21.
13
Let p(r) = 7*r + 54. Let f(u) = -u**3 - 3*u**2 + 12*u + 3. Let i be f(-5). Let a be p(i). What is the remainder when 6 - ((-3)/2)/(a/10) is divided by 7?
2
Suppose -z + 27 = 4*j, 12 = 4*j + 3*z + z. Suppose 20*m - 4469 = 1871. Suppose 0 = j*b - m + 117. Calculate the remainder when b is divided by 8.
1
Suppose -4*k = 5*a - 889, -k - a - 1075 = -6*k. Suppose -3*z - 4*s = -119 - 194, s = 2*z - k. Calculate the remainder when z is divided by 4.
3
Suppose 5*l - 84 = 4*h, 5*l + 6*h + 685 - 759 = 0. What is the remainder when 20525 is divided by l?
13
Let q = -5540 + 8162. Calculate the remainder when q is divided by 75.
72
Let a(i) = -21*i + 2650. Calculate the remainder when 98 is divided by a(125).
23
What is the remainder when (-3 - -8) + 6 - -210 is divided by 54?
5
Let h(k) = -42*k - 159. Let l be h(-4). Calculate the remainder when 129 is divided by l/(-117) - (-158)/26.
3
Let u = -32 - -53. Calculate the remainder when u is divided by 57/5 - 132/(-220).
9
Let p be (-12)/16 - 6834/(-24). Let b = 298 - p. What is the remainder when 404 is divided by b?
12
Suppose 0 = 127*s - 148*s + 24759. Calculate the remainder when s is divided by 4.
3
Let x = 432 + -416. Suppose -13*j + x*j = 69. What is the remainder when 228 is divided by j?
21
Let v(n) = -45*n - 263. Suppose 0 = -1159*a + 1162*a + 18. Calculate the remainder when 251 is divided by v(a).
6
Let v(w) = w**2 + 30*w + 238. What is the remainder when 880 is divided by v(-9)?
47
Suppose 8057*h - 1595 = 8046*h. What is the remainder when 590 is divided by h?
10
Suppose -l - 5*q = -8289, -1018*l + 5*q = -1022*l + 33126. Calculate the remainder when l is divided by 91.
89
Let s(j) = -4*j**3 + 52*j**2 - 41*j - 12. Calculate the remainder when 170 is divided by s(12).
26
What is the remainder when (7/(-5) + 10/50)/(36/(-521940)) is divided by 15?
13
Let p(o) = o**3 - 22*o**2 + 18*o + 167. What is the remainder when p(21) is divided by 22?
16
Suppose 5*v = -2*i + 5, -2*i - 3*i = -v - 26. Suppose -12 = 3*q, i*w + 2*q - 100 - 57 = 0. Calculate the remainder when 98 is divided by w.
32
Suppose 265*l - 1909 - 13461 = 0. Calculate the remainder when 532 is divided by l.
10
Let g(o) = -59*o - 1. Suppose -10*y - 7*y - 78413 = -79416. What is the remainder when g(-2) is divided by y?
58
Let i(r) = -7*r - 4. Suppose -11*d = -4*d - 147. Calculate the remainder when i(-6) is divided by 7/(d/9 - 2).
17
Suppose -415*v = 2*q - 412*v - 26, -30 = 2*q - 4*v. Calculate the remainder when 1804 is divided by q.
0
Let f be 12/30 - 6/15. Suppose 0 = 2*g - f*g - 172. Let h = -235 - -280. What is the remainder when g is divided by h?
41
Let m be (-36)/18 - (-2 + -154). Suppose 3*o = 5*q + 176, -3*o + 3*q + 14 + m = 0. Calculate the remainder when o is divided by 30.
22
Let s = -12256 + 12314. What is the remainder when 520 - (-2)/(2*1) is divided by s?
57
Let a(c) = 2*c**3 + 3*c**2 - 9*c + 41. Calculate the remainder when a(4) is divided by 0 + 4 + (11 - (-2 - -4)).
12
Let u(v) = -v**3 - 13*v**2 + 34*v + 156. Calculate the remainder when u(-16) is divided by 64.
60
Let l be 20/24*-2*-3. Suppose -l*z + 7 = 2*z. Calculate the remainder when (-1 - (z - 30)) + 0 is divided by 5.
3
Suppose -14*x = -6*x - 464. Let s(v) = 5*v**3 - 15*v**2 - 6*v - 11. What is the remainder when s(7) is divided by x?
57
Let b(g) = -12*g + 316. Let l be b(26). Suppose 0 = l*j + j - 3*w - 50, -4*j + 2*w + 42 = 0. What is the remainder when 100 is divided by j?
9
Let a be 2522/4 - 9/18. Let m be ((-26)/(-14) - 1)/(10/a). Let n = m + -49. Calculate the remainder when 24 is divided by n.
4
Let o(y) = 21*y + 90. Let k(m) = -19*m - 90. Let x(i) = -4*k(i) - 3*o(i). What is the remainder when 188 is divided by x(-4)?
36
Let w(l) = 24*l - 161. Let b(r) = -11*r + 81. Let u(k) = -5*b(k) - 3*w(k). Calculate the remainder when 187 is divided by u(3).
25
Let r(p) = -119*p + 217. What is the remainder when r(0) is divided by 66?
19
Suppose t = -2 - 3, -4*c + 3*t = -119. Let f = -46 + 119. What is the remainder when f is divided by c?
21
Suppose 0 = -7*o + o + 102. Suppose -266 = -o*b - 21*b. Suppose 13 = 2*s - 5*t + 2, s - 2*t - 6 = 0. Calculate the remainder when s is divided by b.
1
Let l(f) = 8*f**2 + 5*f - 2*f - 8*f**2 - 24 - f**3 + 23*f**2. What is the remainder when l(23) is divided by 24?
21
Suppose 0 = 4290*o - 4295*o + 250. What is the remainder when 287 is divided by o?
37
Suppose -4*f = 3*m - 27, 3*f + m = -0*m + 24. Let w = -6 + f. Suppose -2*s = g - 32, 4*g = 2*g + w*s + 85. What is the remainder when g is divided by 23?
15
Suppose 6*m - 756 = -m. Let j be (-24)/m + (-4)/(-18). Suppose a + a = -s + 75, j = -3*a. What is the remainder when s is divided by 11?
9
Let x = 9016 - 8976. Calculate the remainder when (43 + -5)/(1/2) is divided by x.
36
Suppose -z = 7*f - 1243, -f - 2*z + 185 = -0*z. Calculate the remainder when f is divided by 89.
88
Let h be (-111)/(-9)*(-21)/(-7). Suppose 3*o = -1 - 14, -4*o + h = 3*s. Calculate the remainder when 73 is divided by s.
16
Suppose -2*g - 9*g = 2299. Let n = g - -429. Calculate the remainder when n is divided by 56.
52
Let u(x) = 4*x + 126. Let t(m) = 2*m + 126. Let o(s) = -5*t(s) + 4*u(s). What is the remainder when o(23) is divided by 10?
2
Suppose 5*w - 9 - 11 = 0. Suppose 3*p - w*v - 43 = -10, -3*v = 4*p - 44. Let t(i) = 4*i - 2. What is the remainder when t(p) is divided by 9?
6
Suppose -2*g = -4*m - 622, -4*g + 1262 = -92*m + 87*m. What is the remainder when g is divided by 18?
17
Let w be ((-111)/2)/(3 + 21/(-6)). Suppose -4*x + w = 75. What is the remainder when 346 is divided by x?
4
Suppose 10*v - 5*v - 30 = 0. Suppose 0 = p - 10 + v. Calculate the remainder when 4 is divided by p.
0
Suppose -94 = -c - 247. Let y = 228 + c. What is the remainder when y is divided by (0 - 52/(-10))*10/2?
23
Let s(c) = 31*c + 33. Let o(f) = -2. Let m(l) = 6*o(l) - s(l). Calculate the remainder when m(-9) is divided by 59.
57
Let z = 379 + -378. Let j = 63 - 28. What is the remainder when j is divided by -3 + (2 - z) - (14 + -25)?
8
Let d = -1285 - -1297. Suppose -8 = -3*u - u. Calculate the remainder when 153 is divided by d*2/u - (-17 - -17).
9
Suppose 54*i + 10*i - 1620 = -26*i. What is the remainder when 448 is divided by i?
16
Let c = -11660 - -11864. What is the remainder when c is divided by 23?
20
Suppose -h + 15 = -3*z, -4*h - 10 = 2*z - 3*h. What is the remainder when 85 is divided by z*16*2/(-5)?
21
Suppose 7*a - 6*a - x = -5, 3 = 3*x. Let p(d) = d**2 + 6*d + 17. What is the remainder when (-75)/((45/(-6))/5) is divided by p(a)?
5
Suppose 2*a + 2*v - 4976 = 0, -67*a = -70*a - v + 7466. Calculate the remainder when a is divided by 78.
71
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