8 is divided by z(-12).
65
Suppose -2*p - 2*d = -872, 5*p - 53*d = -52*d + 2216. Calculate the remainder when p is divided by 14.
8
Suppose -5*a + 6 - 21 = 5*t, 3*t + 4*a + 14 = 0. Suppose 40 = t*x + 12. What is the remainder when 107 is divided by x?
9
Let r = 440 - 734. Let k = -266 - r. What is the remainder when 102 is divided by k?
18
Let v(q) = -130*q - 19. Let j be 13/(-26)*(3 + -1). Calculate the remainder when v(j) is divided by 40.
31
Let i(p) = 23*p**3 - 8*p**2 - 21*p + 67. What is the remainder when i(5) is divided by 12?
9
Let f = 7978 + -7319. Calculate the remainder when f is divided by 115.
84
Let r(m) = -2*m - 27. Let s be r(-14). Suppose 25 = 5*u, -p + 5*u = -s + 11. Calculate the remainder when ((-477)/(-30))/((-18)/p)*-8 is divided by 55.
51
Let a = -1427 + 2171. Let n be ((-3)/6)/((-6)/a). Let c = -22 + n. What is the remainder when c is divided by 21?
19
Suppose 0 = 4*p + 20, b + p - 56 = 4*p. Suppose 0 = r - 5, -56*z = -57*z + 2*r + 149. What is the remainder when z is divided by b?
36
Let m = -351 + 349. Calculate the remainder when 123 is divided by m + (-1947)/(-44) + (-2)/8.
39
Let i(y) be the second derivative of y**4/12 - y**3/2 - 5*y**2/2 + 10*y. What is the remainder when 4 - ((-1 - 35) + 15 + -12) is divided by i(6)?
11
Suppose -444 + 12 = 24*k. Let y = 130 + k. Calculate the remainder when y is divided by 39.
34
Let n(t) = t**3 + 9*t**2 - 47*t - 28. Let v be n(-13). Let u = -65 - v. Calculate the remainder when 99 is divided by u.
15
Suppose -14*t - 107 = -611. Calculate the remainder when 316 is divided by t.
28
Let a be -2*(-5)/2 - 2. Suppose 160 = 20*w + 20. Calculate the remainder when w/(a - 70/25) is divided by 18.
17
Suppose 4*y - 45 = -i, -2*y - 4*i - 4 + 16 = 0. Let a(r) = 2*r**2 - 381*r + 4988. What is the remainder when a(178) is divided by y?
10
Suppose s = -5*t + 1312, -3*t = 32*s - 35*s + 3972. What is the remainder when s is divided by 27?
26
Let a be 440/16 + 6/(-4). Let z = a - -43. Calculate the remainder when z is divided by 15 - 1/(2 + -1).
13
Let k(p) = p**2 - 14. Let n be k(5). Suppose n*r - 775 = 6*r. What is the remainder when r is divided by 53?
49
Let f be -2 + (2/1 - -53). Suppose 86*h - 4233 = -5*h + 3229. Let z = h - f. Calculate the remainder when 173 is divided by z.
28
Let v(x) = -x**3 + 15*x**2 - 25*x + 2. What is the remainder when 486 is divided by v(5)?
105
Let l(j) = -4*j**3 + 4*j**2 + 72*j + 5. Let b(u) = -u**3 - 5*u**2 - 5*u + 6. Calculate the remainder when b(-6) is divided by l(-4).
35
Let v = 267 - -8. Suppose -4*b + v = 7*b. Suppose 193 = 2*s - 5*j, -s = j - 89 - b. Calculate the remainder when s is divided by 14.
11
Let i(d) = 53*d**3 + 3*d**2 - 3*d. Calculate the remainder when i(2) is divided by 56.
38
Let d be 78/4*2 - (-1 - -1). Let g = d - 18. Calculate the remainder when 59 is divided by g.
17
Let n be -4 - (-2 - (-5 + 7)). Suppose 5*v + 2*w - 55 = n, -v + w + 33 = -3*w. Calculate the remainder when v is divided by 2.
1
Suppose 3*w + 6 = f, f - 5*f - 26 = -2*w. Let z(p) = -8*p - 52. Calculate the remainder when 218 is divided by z(f).
18
Let d(s) = -s**2 + 10*s + 14. Let j be d(7). Let r(h) = 32*h - 9. Let k be r(2). Let c = k - j. Calculate the remainder when 78 is divided by c.
18
Let f = -24 - -40. Suppose 3*i = 4*q + 2, 3*q - 2*q - 11 = -5*i. Calculate the remainder when f is divided by i.
0
Let s = -27 - -7. Let z = s + 33. Let g = 12 - -63. Calculate the remainder when g is divided by z.
10
Suppose -459*f = -915*f + 493*f - 7918. Calculate the remainder when f is divided by 6.
4
What is the remainder when 2129 - (7/2 + -2)*(-96)/(-36) is divided by 23?
9
What is the remainder when 203335/(-10)*(8 - (-1104)/(-132)) is divided by 43?
41
Suppose 3*x - 2*r - 11 = -0*r, 5*r = -4*x + 7. Suppose x*h - 178 = 2*h. What is the remainder when h is divided by 20?
18
Let s(q) = -q + 24. Let g be s(22). Calculate the remainder when 20 is divided by 13/2 + 1/g.
6
Suppose -202 = -37*g - 21*g + 30. What is the remainder when 17 is divided by g?
1
Calculate the remainder when 131 is divided by (1 + -2)/(2608/(-520) - -5).
1
Let h be 23*-116*11/(-44). Let i = h + -537. What is the remainder when i is divided by 48?
34
Let m = -7 + -27. Let j = m + 41. Suppose -6 = -j*z + 5*z. What is the remainder when 12 is divided by z?
0
Suppose -3*y - 236 = y. Let m be y - 3/9*0. What is the remainder when (-3)/(-6)*-4 - m is divided by 15?
12
Suppose 12 = -c + 4*z + 54, 4*z = 5*c - 178. Suppose -48 = -3*p - 264. Let s = -60 - p. What is the remainder when c is divided by s?
10
Suppose 5*c - 32 = x + 3*x, 3*c + 2*x - 6 = 0. Let d(k) = -59*k - 80. Calculate the remainder when d(-3) is divided by c.
1
Calculate the remainder when (214208/24)/2 - (-5)/(15/(-2)) is divided by 22.
18
Suppose 95 = 6*b - 133. Let u(a) = a**2 - 15*a - 25. Let q be u(17). Suppose -q*l = -214 - b. What is the remainder when l is divided by 11?
6
Let q(o) = -49*o - 480. Let d = 2 + 1. Suppose -3*g + 26 = -2*g - 2*w, -89 = -d*g - 5*w. Calculate the remainder when g is divided by q(-10).
8
Let a(l) = 203*l**2 - 8*l - 29. Calculate the remainder when a(-4) is divided by 105.
101
Let m = 69 - -121. Suppose -2*c = 17*c - m. What is the remainder when 307 is divided by c?
7
Suppose -49*y + 35186 = -13587 + 8005. Calculate the remainder when y is divided by 8.
0
What is the remainder when 260 is divided by ((-48)/(-30) + -10)/(9/(-15))?
8
Suppose -2*q + 54 + 76 - 10 = 0. Calculate the remainder when 340 is divided by q.
40
Let u = 28507 - 27290. Calculate the remainder when u is divided by 303.
5
Let m(i) be the third derivative of i**5/20 - 4*i**4/3 - 29*i**3/6 - 58*i**2. Calculate the remainder when m(15) is divided by 43.
37
Let c = -18682 - -19538. What is the remainder when c is divided by 243?
127
Suppose -27 = 3*c - 6*c. Let l = 20 - c. Let a(d) = 4*d**2 - 8*d + 9. What is the remainder when a(4) is divided by l?
8
Suppose 36 - 12 = 2*g. Let i = -64 + 64. Suppose i = -31*p + 36*p - 290. Calculate the remainder when p is divided by g.
10
Suppose 5*f - 4*x - 116 = f, 3*x = -f + 9. Let j(d) = 14*d - 309. What is the remainder when -1 + 51 - 0/(-1) is divided by j(f)?
23
Let y(t) = -3*t + 96. Suppose s - 2 = -1. Let h = 18 - s. Calculate the remainder when y(11) is divided by h.
12
Let n be 20972/42 + (-1 - (-5)/3). Let a = 725 - n. Suppose -a = -8*i - 57. What is the remainder when i is divided by 12?
9
Suppose -93 = 5*p - 2*s, 4 = p + 5*s + 1. Calculate the remainder when p + 282 + 6/1 is divided by 91.
89
Let s = -10655 - -10805. Suppose 2*c + c - 114 = 0. Calculate the remainder when s is divided by c.
36
Suppose 4*k - 2*k - 5*n - 90 = 0, 3*n = -2*k + 58. Suppose 95 = m - 43. What is the remainder when m/(20/8 - (-3)/(-2)) is divided by k?
33
Let m = -262 + 731. Let f = m - 444. Suppose p - i - 76 = 0, -2*p - 4*i + 134 = -0*i. What is the remainder when p is divided by f?
23
Suppose 0 = 19*d - 16913 + 2112. Suppose -8*r - 291 = -d. Calculate the remainder when r is divided by 26/(-4*(-2)/4).
9
Let s = 49 - 31. Let w = 23 - s. Let t = w - -12. Calculate the remainder when 50 is divided by t.
16
Let x(u) = -u**3 - 85*u**2 - 160*u + 509. What is the remainder when 6478 is divided by x(-83)?
10
Let r(l) = -2*l**2 - 4*l - 5. Let s be r(4). Let i = s + 99. Suppose 11*y - i = 86. Calculate the remainder when 45 is divided by y.
9
Let f(t) = -t**2 + 18*t - 7. Let n = -47 - -61. What is the remainder when f(n) is divided by 38?
11
Suppose -4*w - 700 = -9*w. Let x(i) = -2*i**3 - 17*i**2 - 10*i - 5. What is the remainder when w is divided by x(-8)?
8
Suppose -3*t - 325*p = -327*p - 28, -3*t - 3*p + 18 = 0. Suppose 3*s - 284 = 112. Calculate the remainder when s is divided by t.
4
Suppose 5*k + 0*k - 19 = -3*i, 0 = 3*i + 2*k - 4. Let z be (1 - 0)*(-6 - 6)/i. Suppose -3*n + z*n = 66. What is the remainder when 76 is divided by n?
10
Let k(c) = 2*c**3 - 100*c**2 + 122*c + 234. What is the remainder when k(49) is divided by 1396?
14
Suppose -57 = -2*j + 87. Suppose -26*m - j = -32*m. What is the remainder when 165 is divided by m?
9
Suppose 2*m + 4*w = 6, 6 = 2*w - 4. Let j(b) = b**2 - 4*b - 31. Let f be j(m). Let x = -24 + f. Calculate the remainder when x is divided by 13.
9
Let t = 165 + -75. Let r = 3415 - 3399. Calculat