5). Let z(g) = -g**3 + 10*g**2 + g - 6. Calculate the remainder when z(u) is divided by 50.
44
Let y = -8 + 3. What is the remainder when y - (-6 - 6) - -43 is divided by 18 - (0 - -1*1)?
16
Let j = 3499 - 3347. Calculate the remainder when j is divided by 36.
8
Let t(q) = -5*q**2 + 130*q + 21. Let v = 13 + -1. What is the remainder when t(26) is divided by v?
9
Let s be 1/7 + (-91)/(-49). Let r(a) = 313*a**s - 9*a - 314*a**2 - 8 - a. Calculate the remainder when r(-8) is divided by 5.
3
Let k = 3044 - 2991. Calculate the remainder when 102 is divided by k.
49
Suppose 4*y - 73 = -j + y, 5*j - 352 = -2*y. Let f = 59152 + -59016. What is the remainder when f is divided by j?
66
Calculate the remainder when 374 is divided by (4/(-8))/((-3)/(-30))*(-336)/40.
38
Suppose -n - 979 = 4*n - 3*l, 2*n = l - 392. Let z = 210 + n. Let m(y) = -22*y. Calculate the remainder when m(-1) is divided by z.
9
Suppose -2*n + 100 = 2*d + 8, -4*d - 221 = -5*n. Calculate the remainder when 157 is divided by n.
22
Let j(t) = -27*t**2 - t + 139. What is the remainder when j(0) is divided by 137?
2
Let x = -204 + 218. Let v(u) = -u**2 + 6*u + 4. Let y be v(6). Suppose 5*b = y*b + 208. What is the remainder when b is divided by x?
12
Suppose 21*b - 23*b - 5*d = -137, 0 = 2*b - 3*d - 97. Calculate the remainder when b is divided by 40.
16
Suppose -55*o + 34*o = -38*o + 833. What is the remainder when 138 is divided by o?
40
Suppose -f + 5*s - 7*s + 14 = 0, 4*s = -4*f + 36. Suppose 0 = -4*n - f - 12. What is the remainder when (-2)/(-8) - 179/n is divided by 23?
22
Let b(z) = z**2 - 4*z - 155. What is the remainder when b(-17) is divided by 53?
43
Calculate the remainder when (2/22)/(2/83686) - 47/(-517) is divided by 127.
121
Suppose 4*a = 3*k - 692, 3*k + 2*k - 1157 = 3*a. Let r = k + -160. Calculate the remainder when r is divided by 19.
15
Let k(n) = 37*n - 78. Let h = -626 - -632. Calculate the remainder when k(h) is divided by 25.
19
Let i be 12 + -5 - (10 + -1). What is the remainder when 113 is divided by i/((-7)/448*4)?
17
Let i(j) = 1245*j - 4234. What is the remainder when i(4) is divided by 182?
18
Suppose -20*v + 21*v = -18*v + 741. Let p be 2/(1/(0 + 1)). Suppose 0 = -p*z + 28 + 200. What is the remainder when z is divided by v?
36
Let w be 1 + (-8 + -2)*(-7)/(-2). Let u = -6 - w. Suppose 0 = -5*c + 27 + u. Calculate the remainder when 15 is divided by c.
4
Suppose -38*v + 3*v = 32*v - 22780. What is the remainder when v is divided by 158?
24
Let x = 4187 + -4153. Calculate the remainder when 45 is divided by x.
11
Let y(h) = -h**2 + 322*h + 4379. Calculate the remainder when 2373 is divided by y(-13).
21
Let b(w) = 26*w + 176. What is the remainder when b(-6) is divided by 19?
1
Suppose -5*y + 4*f = 0, -3*f = -5*y + 2*f. Suppose y = 82*b - 86*b - 16. What is the remainder when 17 is divided by 4/((-5 - -6)/((-10)/b))?
7
Let f = 176 - 130. Suppose 2*h - 22 = -2*j + 194, 6 = -3*j. What is the remainder when h is divided by f?
18
Let z(d) = d**3 + 5*d**2 - 5*d - 7. Suppose 2*q - 3*q - 2*l + 20 = 0, 0 = -3*q + 2*l + 20. What is the remainder when z(-5) is divided by ((-56)/(-40))/(q/50)?
4
Suppose -27 - 9 = -9*t. What is the remainder when (-580)/(-6) + 2/(-3) is divided by 25/2 - ((-26)/t - -5)?
12
Let u be -6*(-3 - 10/(-3)). Let j be u + 1/((-1)/4). Let f(k) = k**2 + 7*k + 40. What is the remainder when 100 is divided by f(j)?
32
Let x be ((-8)/(-4) - 6) + -212. Calculate the remainder when 107 is divided by (-5112)/x + 2/6.
11
Suppose 27*m = 53*m - 48*m + 682. What is the remainder when 1165 is divided by m?
18
Let u = 901 - 276. Suppose -3*o = -g + 3*g - 311, -4*g = 5*o - u. Calculate the remainder when g is divided by 23.
22
Let k = 66 - 49. Suppose 19*i = k*i + 2. Let m(y) = 29*y**3 - 3*y + 1. Calculate the remainder when m(i) is divided by 6.
3
Suppose 4*h + 116*y = 117*y + 268, 3*y - 252 = -4*h. Calculate the remainder when 283 is divided by h.
19
Let b(s) = -9*s**2 + 21*s - 19. Let r be b(6). Let g = r + 288. Calculate the remainder when g is divided by 31.
9
Suppose 31*x + 64 - 250 = 0. Let h(d) = d**2 - 9*d + 44. Calculate the remainder when 189 is divided by h(x).
7
Suppose -o = 51*o - 3068. What is the remainder when 224 is divided by o?
47
Suppose 69*k = 31*k + 33*k + 130. What is the remainder when 1034 is divided by k?
20
Let p(u) = -u**3 + 23*u**2 - 22*u - 17. Let h(v) = -v**3 + 22*v**2 - 23*v - 18. Let r(s) = 4*h(s) - 3*p(s). What is the remainder when r(17) is divided by 29?
28
Let c = -17 + -8. Suppose 21*u + 26 - 89 = 0. What is the remainder when (c/4)/((-3)/12) is divided by u?
1
Suppose 2*m = -m - 30. Let b = 14 + m. Let f(k) = -2*k**2 + 9*k + 32. What is the remainder when f(6) is divided by b?
2
Let j = -3431 + 3586. Calculate the remainder when j is divided by 40.
35
Suppose -5*h = -3*h + 2*g - 102, -3*h + 150 = 2*g. Suppose h + 2 = 5*r. What is the remainder when 27 is divided by r?
7
Let g be -1*-2*(-5)/2*-1. Suppose -3*a + g*a = -5*o + 55, 0 = -2*a - o + 35. What is the remainder when 86 + 4/2 + 0 is divided by a?
13
Let j(p) = 262*p**3 + p. Let d be j(-1). Let a = d + 277. What is the remainder when 38 is divided by a?
10
Suppose -5*d = 0, 10*h - 85 = 5*h - 2*d. Suppose 18*j + 3*l - h = 17*j, -5*l = -4*j + 34. What is the remainder when 30 is divided by j?
8
Let o = 7854 - 3160. What is the remainder when o is divided by 77?
74
Suppose 5*u - 75 = -250. Let d(o) = o**3 + 36*o**2 + 36*o + 42. Calculate the remainder when 31 is divided by d(u).
3
Suppose 2*w + 5*u = 25, -5*w - 4*u - 5 = -59. Let m(o) = o**2 - 2*o + 23. What is the remainder when m(w) is divided by 27?
22
Calculate the remainder when 4254/(-15)*(0 + -1) - 345/575 is divided by 126.
31
Suppose -2*h = -3*k - 1278 + 3842, -h = -5. Calculate the remainder when k is divided by 98.
74
Suppose -876*h + 799*h + 86856 = 0. Calculate the remainder when h is divided by 94.
0
Let c(t) = -t**3 - 7*t**2 - 29*t - 18. Calculate the remainder when 4 + (2 - -89) + 2 is divided by c(-4).
47
Suppose -5*r - z = -99, -4*r + 130*z - 126*z = -108. Calculate the remainder when 956 is divided by r.
11
Let q(g) = g**3 + 3*g**2 - 21*g - 15. Let n be q(-6). Suppose -n*b + 5*b - 66 = -5*f, 4*b - f = 132. What is the remainder when 230 is divided by b?
32
Let g be 8/(-2) + 4 + 9/3. Suppose -3*a + g + 111 = 0. What is the remainder when a is divided by 7?
3
Calculate the remainder when 753 is divided by ((-290)/2001*-23)/((-2*1)/(-60)).
53
Suppose 0 = -5*l + 1704 - 474. Let n = -225 + l. What is the remainder when n is divided by 6?
3
Let f(a) = -79*a - 388. Calculate the remainder when 685 is divided by f(-6).
83
Let b(h) = 8*h**2 + 8*h - 10. Let t be b(4). Suppose -t = 4*a + 46. Let f = a - -113. Calculate the remainder when f is divided by 13.
12
Let f = 0 - 3. Let z be (-5 + (5 - 3))*2/f. Suppose -u + 5 = 0, 0 = -4*s - 0*s - z*u + 50. Calculate the remainder when 25 is divided by s.
5
Suppose -512 = -23*g + 63. What is the remainder when ((-3)/(-9))/((150/792)/g) is divided by 9?
8
Suppose 3*a + 12 = 0, -7*q - a = -1331 - 926. What is the remainder when 693 is divided by q?
47
Suppose r = 5*x + 2504, 5*x + 987 = -r - 1509. Let d be 24/(-108) - x/(-18). What is the remainder when 64 is divided by (d/70)/(376/190 + -2)?
7
What is the remainder when (-8 - (5 - 18)) + 98 is divided by 68?
35
Calculate the remainder when (32*49/(-3920))/((2/20455)/(-1)) is divided by 25.
16
Suppose 18*k - 738 = -290 + 326. What is the remainder when 456 is divided by k?
26
Suppose -2*k = -35*k + 667 + 1511. Calculate the remainder when 245 is divided by k.
47
Suppose -t + 5 = -5*w, -46*t + 64 = -42*t + 2*w. What is the remainder when 83 is divided by t?
8
Suppose 5*r = 19*p - 18*p + 39710, 4*p = -20. Calculate the remainder when r is divided by 38.
37
Let l be 40/(-12)*(-54)/45. Suppose 22 + 10 = l*t - 2*j, j - 4 = 0. What is the remainder when 97 is divided by t?
7
Let y(m) = 1178*m + 22406. Let c = -6 + 9. Suppose -c*w = -485 - 7. Calculate the remainder when w is divided by y(-19).
20
Suppose -3*t - 2 = -0*t + f, 5*t = -f - 6. Let i be 12 - 1/(-3*t/12). Suppose -3*w = -i*w + 308. What is the remainder when w is divided by 13?
5
Let x(l) = -2*l - 20. Let p be x(-11). Suppose -3*t + 37 = 4*u - 9*u, p*t + 5*u + 17