- 183. Let x be f(23). Calculate the remainder when 66 is divided by (x + -31)*(-18)/45.
6
Suppose -296*m - 128*m + 767472 = 48*m. Calculate the remainder when m is divided by 138.
108
Let x(y) = 40*y - 45. Let d be ((-52)/8 + 5)/(6/(-32)). Let p be x(d). Suppose -4*q + p - 103 = 0. What is the remainder when 214 is divided by q?
42
Let f(d) = -7*d + 244. Let p(q) = 7*q - 240. Let c(a) = 4*f(a) + 3*p(a). Calculate the remainder when 127 is divided by c(36).
3
Suppose -2563 = 32*h + 317. Let l be 2220/16 - (-2)/8. Let o = h + l. What is the remainder when 243 is divided by o?
47
Let z = -1993 + 2109. Calculate the remainder when z is divided by 14.
4
Suppose 24*x - 5340 = 12*x. Suppose 3*f + x - 568 = 0. Calculate the remainder when f is divided by 15.
11
Suppose -u - 37 + 52 = 0. Calculate the remainder when (127 - 0) + -1 + 1 is divided by (-5 - (-235)/u)*(5 - 2).
31
Let m(w) = 40*w - 40. Let j = -154 + 157. What is the remainder when m(j) is divided by 7?
3
Let c = 43 + -16. Suppose 106480 = 2*m + 119*m. Suppose -22*d = -c*d + m. What is the remainder when d is divided by 45?
41
Calculate the remainder when 823 is divided by (1425/855)/((-10)/(-1608)).
19
Calculate the remainder when 3142 is divided by ((-583)/33 + 20)*(8 + -2) + -2.
10
Suppose 20*k = 134 + 1226. Suppose -17 - 11 = -2*d. What is the remainder when k is divided by d?
12
Suppose -3*u - 20 = u + 3*l, l = u - 2. Calculate the remainder when 9 - (3 - (-4 + 9)) is divided by (-14)/u + (-1 - -2).
3
Let q(g) = g**3 + 4*g**2 - 3*g + 10. Let r be q(-5). Suppose 5*l - 108 - 72 = r. What is the remainder when 141 is divided by l?
33
Let j = 6706 - 6702. Calculate the remainder when 277 is divided by j.
1
Suppose -116*l + 2136 = a, 117*l = -4*a + 115*l + 228. What is the remainder when 2/9 - (-2545)/9 is divided by a?
43
Let r = 129 + -54. Suppose -16*p + r = 11. What is the remainder when 110 is divided by p?
2
Suppose -74*i + 95*i = 8106. Calculate the remainder when i is divided by 88.
34
Let a = -561 + 571. Suppose 18*i - 168 = a*i. What is the remainder when 98 is divided by i?
14
Suppose 49*y = 1446 - 724 + 2316. Calculate the remainder when 96 is divided by y.
34
Suppose -3*c + 7*c + t = 98, -4*t + 18 = -c. Suppose 4*b = 3*b - 3. Let y = 16 + b. What is the remainder when c is divided by y?
9
Let m(r) = -9*r**2 - 6*r**2 + 13*r + r**3 - 14 - 40*r - 2*r**3. Let j be m(-14). Suppose -6*i + j = 18. What is the remainder when 97 is divided by i?
22
Calculate the remainder when (-2 - 969)/(((-533)/26)/41) is divided by 75.
67
What is the remainder when (-89011)/(-369) + (-4)/18 is divided by 35?
31
Let k = 3372 - 3357. What is the remainder when 627 is divided by k?
12
Let v(o) = 13*o + 8. Suppose 16*s - 22*s - 378 = 0. Let u = s - -81. What is the remainder when v(2) is divided by u?
16
Let c(m) = -m**2 - 48*m + 150. Let u be c(-35). Let v = -447 + u. What is the remainder when v is divided by 23?
20
Suppose 3*k + 4032 = 6*o, 15*k = 19*k + 16. Calculate the remainder when o is divided by 3.
1
Let h be 3 - (-4 + 4) - -52. Let l = 54 - h. Let m(x) = -26*x**3 - 2*x - 1. Calculate the remainder when m(l) is divided by 10.
7
Suppose -34*h - 272 = -j - 31*h, 2*h + 1058 = 4*j. Calculate the remainder when j is divided by 14.
11
Suppose 8*f - 2*f = 36. Suppose k + f*k = 238. What is the remainder when 132 is divided by k?
30
Suppose 0 = 4*u - 7*p + 4*p, 0 = -u - 2*p - 11. What is the remainder when 76 is divided by 1*80/(u + 7)?
16
Let m = 308 + -296. Suppose -z + 113 = -m. What is the remainder when z is divided by 27?
17
Suppose 0 = 5*x - 3*i - 248, -4*x - 2*i + 96 = -2*x. Let d = -21805 + 21950. What is the remainder when d is divided by x?
47
Let y = 20395 + -17562. Calculate the remainder when y is divided by 109.
108
Suppose 32*s = 55*s - 6509. What is the remainder when s is divided by 90?
13
Suppose -7*a + 119 = 10*a. Suppose 2*s + 8 = 28. Calculate the remainder when s is divided by a.
3
Let m(x) = -x**2 - 52*x - 100. What is the remainder when m(-42) is divided by 68?
48
Let v(n) = 44*n - 53. Let j be v(3). Let c = 228 - j. Calculate the remainder when c is divided by 39.
32
Suppose -9*j = 12*j - 7140. Suppose 0 = -5*p - 2*l + j, 7*l + 320 = 5*p + 5*l. Calculate the remainder when p is divided by 36.
30
Suppose -192*q + 186*q = -1230. Let v = q - 176. Calculate the remainder when v is divided by 8.
5
Suppose -15*n + 20*n = -160. Let o = -55 + n. Let c = o + 140. Calculate the remainder when c is divided by 9.
8
Let l = -40 + 12. Let m be (-48)/14*l/8. Let c = 57 - m. What is the remainder when c is divided by 12?
9
Suppose 3*v = 205 - 46. Let d(u) = u**3 + 10*u**2 - 3*u - 12. What is the remainder when v is divided by d(-10)?
17
Suppose -4*m + 73 = -5*r - 119, r + 102 = 2*m. Calculate the remainder when 185 is divided by m.
26
Suppose 5*l - 244 = -2*j, -2*l - 2*j - 224 = -6*l. What is the remainder when 274 is divided by l?
14
Let t = -6061 - -6145. Calculate the remainder when 88 is divided by t.
4
Suppose 2*p + p = 45. Let s = -55 + 39. Let c(g) = g**2 + 14*g - 6. Calculate the remainder when c(s) is divided by p.
11
Suppose -16*q = -6639 + 2802 - 16883. Calculate the remainder when q is divided by 55.
30
Suppose 0 = 52*s - 139683 + 53103. What is the remainder when s is divided by 209?
202
Let t(r) be the second derivative of -10*r**3/3 - 22*r**2 - 21*r. Let x be t(-9). Let y = x - 55. Calculate the remainder when y is divided by 22.
15
Suppose 3*c + 2426 = 5*u - 1203, 0 = -2*u - 7*c + 1509. Calculate the remainder when u is divided by 174.
34
Let f = -20402 - -20464. What is the remainder when 874 is divided by f?
6
Calculate the remainder when 2349 is divided by (1/(15/18)*-5)/((-22)/154).
39
Let z = -148 + 144. Calculate the remainder when (-2)/(-6) - 780/(-9) is divided by (459/(-34))/(3/z).
15
Let j = 113 - -177. Suppose 228*g - 20 = 223*g. Suppose -4*q + g*x + 816 = 0, -3*q + 902 = -x + j. Calculate the remainder when q is divided by 23.
20
Calculate the remainder when 594/(-27)*2/(-4)*7 is divided by 12.
5
Let n = 16 + -4. Let j be -1 + (-512)/(-17) + (-10)/85. Suppose -32*a + j*a + n = 0. What is the remainder when 15 is divided by a?
3
Suppose 4*y - 210 = -0*o - 2*o, -3*y - 3*o + 150 = 0. Calculate the remainder when 36 is divided by 204/10 + (-22)/y.
16
Let g(o) = 5*o**2 - 10. Let i = -46236 - -46315. Calculate the remainder when g(8) is divided by i.
73
Let s(g) = -3*g**3 - 5*g**2 - 8*g + 5. Calculate the remainder when 225 is divided by s(-2).
0
Let p = -5 + 8. Let u(d) be the second derivative of -d**5/20 + d**4/3 - d**3/3 + d**2/2 + d - 263. Calculate the remainder when 9 is divided by u(p).
1
Suppose -16*h - 63 = 17. Let i(n) = -n**3 - 4*n**2 + 3. Let v be i(h). Suppose 26*o = v*o - 66. Calculate the remainder when 96 is divided by o.
30
Let x(n) be the third derivative of -n**6/12 - n**5/6 - 9*n**4/8 - 4*n**3/3 - 59*n**2. Calculate the remainder when x(-4) is divided by 11.
8
Let v(u) = -2*u. Suppose 0 = -5*c + 2*c + 12. Suppose -2*s - 126 = -c*t, 4*t - 4*s = 149 - 33. What is the remainder when t is divided by v(-10)?
14
Let z(f) = 3*f**3 - 205*f**2 - 101*f - 195. What is the remainder when z(69) is divided by 235?
8
Let d = -8954 - -9923. What is the remainder when d is divided by 188?
29
Let g = -40 - -42. Let w be -1*(1 - (g/(-1) - -7)). Suppose 0 = -i - m + 53, -3*m - 274 = -w*i - 76. Calculate the remainder when i is divided by 13.
12
Suppose 3*d = -4*k + 469 + 818, -4*k - 838 = -2*d. Suppose 428 = y + d. Calculate the remainder when (2/6)/((-1)/(-39)) is divided by y.
1
Suppose -350 = -6*z + 274. Suppose -10*j = -z - 76. What is the remainder when 503 is divided by j?
17
Suppose -11 = 3*p - 2*u - 438, 415 = 3*p + 4*u. Suppose n + 41*n = 504. Calculate the remainder when p is divided by n.
9
Suppose 4*b - 31892 = -115*b. What is the remainder when b is divided by 10?
8
Let t = 257 + -180. Calculate the remainder when 266 is divided by t.
35
Let v(p) = -1832*p + 5709. Calculate the remainder when v(3) is divided by 8.
5
Suppose -2*u - 4*m + 1592 = 15*u, -2*u - 4*m = -212. What is the remainder when 1194 is divided by u?
90
Let g(h) = h**3 + 4*h**2 - h - 4. Suppose 3*r + 4*r = 21. Calculate the remainder when g(r) is divided by 20.
16
Let l(n) = 48*n - 371