Let u be (z/5 - 0) + (-8)/(-20). Calculate the remainder when (2665/(-2))/(-13) - u/(-4) is divided by 36.
30
Let b(t) = -71*t - 1391. Calculate the remainder when 1123 is divided by b(-20).
21
Let t be (0 - 0)/((-1 - -2)*2). Suppose -4*y + 21 + 51 = t. Calculate the remainder when 36 is divided by y + (-1 + 4 - (-7 + 9)).
17
Suppose -3*v = -5*y - 3589, 0 = y + v - 4*v + 725. Let q = 767 + y. What is the remainder when 507 is divided by q?
48
Suppose -8*z + 324 = -5*z - 2*d, 0 = -z + d + 108. Calculate the remainder when z is divided by 90.
18
Let b(w) = -2*w**3 + 3*w**2 + w + 1. Let l be b(3). Let i(y) = 39 - 157*y + 39*y + 116*y. Calculate the remainder when i(l) is divided by 11.
8
Let x = -1000 + 865. Let y = x + 448. Calculate the remainder when y is divided by 45.
43
Suppose 9*t = 3140 + 18874. Calculate the remainder when t is divided by 2439.
7
Suppose 954 = 44*a - 67 - 299. What is the remainder when 32 is divided by a?
2
Let q(c) = c**3 - 3*c**2 + 21*c - 142. Suppose o - z = 12 + 106, -4*o + 2*z = -464. Suppose 4*g = -38 + o. Calculate the remainder when q(6) is divided by g.
16
Let z be (4/6)/(2/96). Suppose 2*i = -m + i + z, -4*m = i - 113. Suppose -2*k + 7*k = -5*n + 5, -n + 19 = 4*k. Calculate the remainder when m is divided by k.
3
Let k = -217 + 446. Let t = k + 335. Suppose -3*x + t - 159 = 0. What is the remainder when x is divided by 6?
3
Suppose 126 + 72 = -11*f. What is the remainder when ((-6)/f)/((-2)/12) + 35 is divided by 17?
16
Suppose 4*y - 228 + 54 = -2*x, -4*y = -2*x + 198. What is the remainder when x is divided by 49?
44
Suppose -u + 4*n + 11 = 0, 0 = -4*u + 3*u - 4*n + 51. Let o(x) = -3 - u - 4*x - 8. Calculate the remainder when 27 is divided by o(-14).
13
Let y = -24851 - -25362. Calculate the remainder when y is divided by 478.
33
Suppose 2*t + t - 90 = 0. Suppose -5*j - 7*j = -96. What is the remainder when t is divided by 15/9 - j/(-6)?
0
Let b(t) = 13*t + 23. Let s(a) = 4*a + 8. Let q(f) = -6*b(f) + 17*s(f). Let v be q(-13). Suppose -v - 346 = -6*g. What is the remainder when g is divided by 20?
19
Let y(j) = -5*j + j - 11 + 6 + 3. Let w(f) = f**2 - 7*f - 3. Let x(s) = 2*w(s) - 5*y(s). Calculate the remainder when 14 is divided by x(-3).
2
What is the remainder when (-42 - -3052) + (-35)/5 is divided by 16?
11
Let k be (387/(-27) - -11)/(5/(-6)). Suppose 0*d + 5*d + 10 = 0, y - k*d - 15 = 0. What is the remainder when 125 is divided by y?
6
Let z = 2664 - 2300. Calculate the remainder when z is divided by 54.
40
Suppose 5*m - 4*j - 10 = 2*m, -3*m = 5*j - 55. Suppose m*w - 31 = 79. Calculate the remainder when 141 is divided by w.
9
Suppose 12482*h - 12488*h + 174 = 0. Calculate the remainder when 544 is divided by h.
22
Suppose -5 = -i + 4. Suppose -47*y - 132 = -508. What is the remainder when i is divided by y?
1
Let b = 386 + -378. Let c(q) = 4*q - 22. What is the remainder when c(9) is divided by b?
6
Let o = -196 - -199. Suppose 0 = -4*g + 3*t + 1401, -o*t + 563 + 1222 = 5*g. Calculate the remainder when g is divided by 17.
14
Suppose 336 = 3*r - 6*q + 2*q, -q - 461 = -4*r. Suppose -4*t + 5 = -l, l + 1 - 32 = -5*t. What is the remainder when r/(-145)*(0 - 80) is divided by l?
9
Suppose 20*q = 32*q - 168. Let k(u) = u**2 - 20*u + 112. Calculate the remainder when 106 is divided by k(q).
22
Let j = -12 - -95. What is the remainder when j is divided by 6*3 - 23/(529/(-230))?
27
Suppose 0 = -19*z + 70 - 13. Suppose -z*u + 113 = 50. Let d(j) = j**3 - 5*j**2 + 2*j - 1. Calculate the remainder when u is divided by d(5).
3
Suppose 2*b = -24*b - 1976. Let n = b + 98. Calculate the remainder when n is divided by 15.
7
Let b be ((-3*40)/(-6))/1. Suppose -2*x = a - b, 0 = x + 72*a - 77*a - 21. Calculate the remainder when 152 is divided by x.
9
Let h = -51 - -53. Let k(z) = -z**3 - 7*z**2 - 14*z + 34. Calculate the remainder when k(0) is divided by h.
0
Suppose -16*f - 646 - 1370 = -128*f. What is the remainder when 8423 is divided by f?
17
Let j = 104958 - 104910. Let q = 128 + 16. What is the remainder when q is divided by j?
0
Suppose -32*w - 16*w = 87*w - 1691145. Calculate the remainder when w is divided by 108.
107
Let y(g) = -3*g - 1. Let a(k) = -k**3 - 35*k**2 + 34*k - 70. Let c be a(-36). Suppose -78 = c*w - 8*w. Calculate the remainder when w is divided by y(-2).
3
Let t(j) = -j**3 + 3*j**2 + 3*j + 3. What is the remainder when (-17)/(629/1850) + 107 is divided by t(3)?
9
Let a = 42 + -27. Let x be a*18/75 + 4/10. Suppose d + x = -0*i + 5*i, 2*d + i - 14 = 0. What is the remainder when 9 is divided by d?
3
Calculate the remainder when 482 is divided by ((-4455)/220)/(-2*(-2)/(-48)).
239
Let n = -15601 - -75631. What is the remainder when (1 - 3/7) + n/322 is divided by 19?
16
Suppose 0 = -2*h - 47*i + 40*i + 1711, -i - 3287 = -4*h. Calculate the remainder when h is divided by 164.
4
What is the remainder when 267 is divided by (52683/136)/3 - (-2)/(-16)?
9
What is the remainder when ((-328)/(-14))/(8/56) is divided by 94?
70
Let b(z) = -2*z**2 - 34*z - 16. Let k be b(-15). Suppose -15*l + 10 = -16*l - 5*f, -f = -4*l + k. What is the remainder when 107 is divided by l?
7
Suppose u + 124 = 3*u - 2*t, 310 = 5*u + 3*t. Let m = u - 73. Let v(g) = g**2 + 7*g - 25. Calculate the remainder when 73 is divided by v(m).
16
Suppose 206*j - 98*j - 106*j = 34. Calculate the remainder when 1104 is divided by j.
16
Suppose 7*v - 367 = -325. Suppose v*u = 5*u + 10. What is the remainder when u is divided by 1?
0
Let k(n) = 4*n**3 - 224*n**2 - n + 62. Calculate the remainder when 1084 is divided by k(56).
4
Let x = -1 - -3. Suppose -4 = -2*s, -5*s + 60 = u - 9. What is the remainder when u is divided by 22 + 1/x*-4?
19
Suppose 0 = 4*m - 3*j - 53, 0*m + 2*m + 3*j - 31 = 0. Suppose 40*y = 24*y + 384. What is the remainder when y is divided by m?
10
Let z = 924 + -600. Suppose -7*k = -8*k + z. Suppose 0 = 6*q - 2*q - k. Calculate the remainder when q is divided by 14.
11
Let z be 390/12 + -1 - 1/2. Suppose -z + 127 = 2*s. Calculate the remainder when s is divided by 15.
3
Suppose 0 = o - 27 + 4. What is the remainder when (-8)/((-240)/(-18))*6550/(-30) is divided by o?
16
Calculate the remainder when 3229 is divided by 5/(-9) - -1 - 185954/(-981).
189
Suppose 51 + 357 = 5*d - 142. What is the remainder when 322 is divided by d?
102
Let w = -7938 - -8428. Calculate the remainder when w is divided by 80.
10
Suppose 3*n - 3*s + 2*s - 371 = 0, 5*s = -5*n + 645. Suppose 8*d - 2*t - 44 = 7*d, 5*t = 3*d - 126. What is the remainder when n is divided by d?
29
Let x be (27/(-6))/(1/(-2)). Let z = x - 0. Suppose 183408 = -36*b + 183660. Calculate the remainder when z is divided by b.
2
Let t(i) = -i**3 + 10*i**2 - 3*i + 18. Let n be t(10). Calculate the remainder when (-1653)/(-6) - (-6)/n is divided by 8.
3
Let x be (-33)/(-1)*((-4)/3)/(-2). Let f = x + 5. Calculate the remainder when f is divided by 11.
5
Suppose 0*y = -2*y + 4, -5*x = 5*y - 195. Suppose -391 = -x*f + 423. Calculate the remainder when 790 is divided by f.
20
Suppose -60*z = -30*z + 22*z - 4108. Calculate the remainder when 311 is divided by z.
74
Let t = 419 - 354. Suppose 56*q = t*q - 225. Let i(b) = -6*b**3 - 3*b**2 + 5*b + 4. Calculate the remainder when i(-3) is divided by q.
24
Suppose -12 = -8*z + 20. What is the remainder when 154 is divided by (-17)/z + 4 - (-49)/4?
10
Calculate the remainder when (-5)/2 + (-57638)/(-92) is divided by 341.
283
Let p = 41 + 18. Suppose -3*j + p = 2*i + 2*j, -4*j = 5*i - 122. What is the remainder when (-2)/3 + 393/9 is divided by i?
21
Let a = -2075 - -2343. Let o = 50 + -35. Calculate the remainder when a is divided by o.
13
Let k = -7622 + 7774. Calculate the remainder when k is divided by 14.
12
Suppose 2437*y - 2409*y - 3780 = 0. Calculate the remainder when 1100 is divided by y.
20
Suppose 3*j - 2*p = 7*j - 44, j - 3*p = 4. Let o = 72 + -70. Calculate the remainder when 38*((-4)/o - -3) is divided by j.
8
Let p be (-13)/((-130)/(-8))*5/(-2). Let y(m) = -p*m - 5*m + 3*m + m - 9. Calculate the remainder when 43 is divided by y(-8).
13
Let q(f) = f**3 + 7*f**2 + 5*f. Suppose -4*b + 13*b - 567 = 0. Calculate the remainder when b is divided by q(-6).
3
Let r(u) = 42*u**2 + 4*u - 24. Let l be r(3). Suppose -285 = b - l. 