 = 180*z - 5386 - 4064. What is the remainder when z is divided by 53?
1
Let d(r) = 2*r**3 - 2*r**2 + 8*r - 2. Let k = -124 - -153. Calculate the remainder when d(3) is divided by k.
0
Suppose r + t - 81 = 0, r - t - 2 = 75. Calculate the remainder when 467 is divided by r.
72
Let l = 21 - 15. Let k be (l/21)/(4/(-28)). Calculate the remainder when 56 is divided by 11 + ((-2)/1 - (k + 1)).
6
Let u = 4152 + -3991. Calculate the remainder when u is divided by 33.
29
Let l = 3004 - 2604. What is the remainder when l is divided by 96?
16
Suppose 3*x - 350 = 2*s, -3*s + 3 = 6. Let t = -77 - -89. What is the remainder when x is divided by t?
8
Suppose c + 8*c = 36. Calculate the remainder when 1/c + 4199/68 is divided by 18.
8
Let u be 5 + -5*(-18)/30. Suppose u*g - 246 = 490. What is the remainder when 272 is divided by g?
88
Let n = 3072 + -2805. What is the remainder when n is divided by 70?
57
Suppose -4*a + 290 = -3*d - 214, 0 = a - 4*d - 113. Calculate the remainder when 799 is divided by a.
25
Let l = 170 + -162. Suppose 5*s + 5*k = -5, -2*s = -6*s - 5*k - l. What is the remainder when 52 is divided by s?
1
Suppose 1980 = 5*b - 3*o, -2*o + 2348 = 114*b - 108*b. Calculate the remainder when b is divided by 44.
41
Suppose -3 = 8*n - 43. Suppose n*k - 5*m - 240 = 0, 0 = -k - k - 2*m + 84. What is the remainder when 161 is divided by k?
26
Let m(i) = -4*i**3 - i**2 + i - 2. Let k = -21 - -25. Suppose -3*o = -2*o + 2, -s + 21 = -k*o. Calculate the remainder when m(-2) is divided by s.
11
Let d(j) = 6*j + 11. Let c(u) = u + 12. Let x be c(0). Calculate the remainder when d(x) is divided by 18.
11
Suppose 2*n + 34 = 3*p, 10*n = 4 + 6. What is the remainder when 57 is divided by p?
9
Let m(n) = 5*n**2 - 12*n - 9. Let q = -158 + 163. Calculate the remainder when m(q) is divided by 9.
2
Suppose 5*i + d - 6 = 0, 4*i + 9 - 5 = -3*d. Calculate the remainder when 58 is divided by 14/(-21)*(-47 + i).
28
Let o be -3 - (-104)/24 - (-8)/(-6). Let r(l) = l**2 + 5*l + 88. Calculate the remainder when r(o) is divided by 23.
19
Calculate the remainder when 151 is divided by -94*(-15)/120*4.
10
What is the remainder when (4/(-8))/(18/3972*9/(-27)) is divided by 38?
27
Let l(q) = 3*q**3 - 48*q**2 + 47*q - 22. Calculate the remainder when 375 is divided by l(15).
7
Suppose -j = -8*j + 21. Suppose -353 = j*x - 476. What is the remainder when 244 is divided by x?
39
Let h(y) = -33*y + 1992. Calculate the remainder when h(4) is divided by 1850.
10
What is the remainder when 430 is divided by (-136 + 121)*(-8)/6?
10
Suppose -25*s + 72 = -178. Suppose -10 = 2*b, -4*u - 5*b + 8 = -71. Calculate the remainder when u is divided by s.
6
Suppose 5*r = 5*b + 13 - 3, 5*r = -b + 28. What is the remainder when ((-2)/12)/((20/r)/(-2328)) is divided by 20?
17
Suppose 60607 = 5*t + 54282. Calculate the remainder when t is divided by 14.
5
Suppose -1382*h + 1495*h = 57743. Let j(u) = u**3 + u**2 - 7*u + 5. Calculate the remainder when h is divided by j(4).
55
Suppose -34*b - 214*b = -14384. Calculate the remainder when b is divided by 15.
13
Suppose 14*f = 16903 + 6281. What is the remainder when f is divided by 13?
5
Let q = 7954 + -7919. What is the remainder when 1503 is divided by q?
33
Let f(z) = -3 - 3*z - 6*z + 5*z**2 - 3*z - z**2. Calculate the remainder when f(7) is divided by 8.
5
Suppose -71*q + 928 = -3*q - 10*q. Calculate the remainder when 5464 is divided by q.
8
Let g be 36/15 + -2 + 273/5. Suppose 0 = -6*i + i + g. Let s = 17 - -7. What is the remainder when s is divided by i?
2
Let p(j) = 7*j**2 + 615*j + 2457. Let c be (1 - 2) + (4 - 2). Calculate the remainder when p(-4) is divided by (54/(-10) + c)*-5.
21
Suppose 5*x = 5*r - 30, -5*r + 12 = -0*r + 4*x. Suppose -18*h = -21*h - 9, 7 = -a - r*h. What is the remainder when 9 is divided by a?
4
Suppose -57*z - 357 = -58*z + 5*k, -1204 = -3*z - 4*k. Calculate the remainder when 1208 is divided by z.
32
Suppose 4*y - 2*f + 57 = 13, 5*y + 5*f + 25 = 0. Let b(q) = q**2 + 13*q + 20. Let d be b(y). What is the remainder when 3 is divided by 40/d*(-2)/5?
0
Suppose 20 = -27*o + 22*o. Let r be ((-215)/o)/((-7)/(-56)). Suppose 0 = -17*l + 12*l + r. What is the remainder when l is divided by 30?
26
Let n be -3 - 66*(-12)/6. Let a = -105 + n. Calculate the remainder when 190 is divided by a.
22
Calculate the remainder when 952 is divided by ((-475)/570 - 14/(-24))/((-2)/7472).
18
Suppose -122*s - 73*s + 2982 = 18*s. Calculate the remainder when 3835 is divided by s.
13
Suppose 0 = 8*y + 65 - 81. Suppose 3*m = -k + 23, -y*k + 11 = 13. Calculate the remainder when 155 is divided by m.
3
Suppose a - j - j - 37 = 0, 0 = -4*a + 4*j + 160. Let x = a - 5. Calculate the remainder when x is divided by 20.
18
Let n(s) = s**3 + 21*s**2 + 66*s - 31. Let g be n(-17). Suppose -5*b + 1405 = a, -g*b + 340 = -3*a - 521. What is the remainder when b is divided by 76?
54
Let n = -2187 - -2214. What is the remainder when 229 is divided by n?
13
Suppose -656 = -1111*c + 1070*c. Calculate the remainder when (-1 - -2)*(-2 - -39) is divided by c.
5
Let l = 0 + 6. Suppose -l*d = -d - 270. Let s = -601 + 620. Calculate the remainder when d is divided by s.
16
Let u(v) = 7*v**2 + 6*v - 3. Let h(r) = -r**3 + 17*r**2 + r + 7. Let w = -387 + 404. What is the remainder when u(-6) is divided by h(w)?
21
What is the remainder when 179 is divided by 0 + (9 - (-8 - -12))?
4
Let q = -10 - -14. Suppose 97 = 2*t + u, 4*u + u = q*t - 201. What is the remainder when t is divided by (196 - 191) + 1*8?
10
Calculate the remainder when 138/42 + -3 - 21150/(-63) is divided by 100.
36
Let n = 7 - 11. Let t(k) = -13*k - 2. Suppose 21*m = -111*m + 1056. What is the remainder when t(n) is divided by m?
2
Suppose 0 = 20*x - 6*x - 3360. What is the remainder when 684 is divided by x?
204
Let d(g) = -3*g**3 - 5*g**2 + 9*g + 36. Let b be d(-3). Suppose 34 + b = s. What is the remainder when s is divided by 16?
15
Let q be (10/3)/((-52)/(-78)). Suppose -94 = -q*x - 19. What is the remainder when 74 is divided by x?
14
Let t = -3 - -17. Suppose t*j = j + 91. Suppose -v + j = -26. What is the remainder when v is divided by 18?
15
Let v = -10470 - -16707. What is the remainder when v is divided by 130?
127
Let y = 316 + -314. Calculate the remainder when 55 is divided by 80/4 - (8 - 6/y).
10
What is the remainder when (-2)/(-2) + (-820 - 0)/(-20) is divided by (-5)/10 + 19/2?
6
Suppose -35480 = -65*g + 6250. What is the remainder when 1292 is divided by g?
8
Let s(k) = 313*k + 642. Calculate the remainder when 3101 is divided by s(-2).
13
Let j(m) = -m - 5. Let i be j(-6). Let a = 7663 - 7674. What is the remainder when a + 70 + (4 - i) is divided by 22?
18
Let n be 8/(-2) + (-1)/((-5)/20). What is the remainder when 35 is divided by (1 - 15/(n + 5))*-1?
1
Suppose -d - a = -8, 0 = 4*d + 6*a - a - 35. Suppose 4*g - 693 = -0*j + d*j, -2*g + 329 = j. Calculate the remainder when g is divided by 21.
20
Suppose 12*x = 9*x + 18, -5*u - 4*x = -209. What is the remainder when u is divided by 24?
13
Suppose -15 = -4*g + 5*g - 5*h, -15 = -2*g + h. Calculate the remainder when 409 is divided by g.
9
Let l = -52724 + 52917. Let c = 35 - 13. Calculate the remainder when l is divided by c.
17
Suppose 2*o + 44*b = 346, 34*o - 32*o - 111 = 3*b. What is the remainder when 198 is divided by o?
9
Let l be (4 - (3 - -1)) + (4 - 2). Calculate the remainder when -394*(l + (-4)/(-8) - 3) is divided by 9.
8
What is the remainder when 2363 is divided by 970/90 + ((-188)/(-36) - 5)?
9
Suppose 0 = -177*q - 106*q + 10228 + 37316. Calculate the remainder when 189 is divided by q.
21
Suppose -5*i = r + 4*r - 135, 0 = 3*r + 6. What is the remainder when (14/(-105)*-9)/((-1)/405*-6) is divided by i?
23
Suppose 8*h = -3*t + 3*h - 5, -5*t = -4*h - 41. Suppose 3*c - 5*c = -44. Suppose -449*v + c = -448*v. Calculate the remainder when v is divided by t.
2
Suppose -5*q + 4*t + 13929 = 0, 4 = -73*t + 69*t. Calculate the remainder when q is divided by 17.
14
Let r(n) be the second derivative of -n**3/6 + 4*n**2 - 12*n. Let y(m) = 3*m + 156. What is the remainder when y(-37) is divided by r(-5)?
6
Let v = 749 - 773. Let l(s) = -s**3 - 26*s**2 - 44*s + 127. What is the remainder when 48 is divided by l(v)?
17
Suppose 6*i =