Calculate the remainder when 31 is divided by z(-8).
12
Let x = -1 + 2. Suppose 45 = 5*f + k - 9, 4*f - 2*k - 32 = 0. Calculate the remainder when 59 is divided by (-916)/(-40) + x/f.
13
Let v(p) = -p**2 - 22*p + 50. Let i = 23 + -13. Calculate the remainder when 134/i - (-9)/15 is divided by v(-24).
0
Let q(y) = y**3 + 8*y**2 - 2*y + 4. Let h be (-8)/44 - 7/((-77)/24). What is the remainder when (-24)/4 + h - -62 is divided by q(-8)?
18
Let v(n) = 3*n - 17. Let r be v(19). Suppose 44*k = r*k + 368. Let i = 98 + -50. What is the remainder when k is divided by i?
44
Let w(x) = 20*x**3 - 4*x**2 - 3*x + 1. Let o be w(-1). What is the remainder when 45 is divided by (-1)/(-5) - (696/o)/6?
3
Suppose -12*a + 10*a = -158. Let h(w) = 5*w**3 - 3*w**2 + 2. Let s be h(-2). Let c = -23 - s. What is the remainder when a is divided by c?
25
What is the remainder when 496 is divided by 15/(-9) + (-2)/13 + 922/78?
6
Calculate the remainder when 3/((-6)/20) - -780 is divided by 155.
150
Suppose -1623 + 17 = -22*a. Calculate the remainder when 372 is divided by a.
7
Suppose -13*u - 1469 = -24*u + 2260. What is the remainder when u is divided by 156?
27
Suppose 5*i = -4*g + 5, 1167*g + 172 = 1177*g - 2*i. Let r = -7 + 15. What is the remainder when g is divided by r?
7
What is the remainder when 437 is divided by (-868)/(-16)*(-92)/(-161)?
3
Suppose -c = 4*c - 120. Let s be 222*(4 - (-21)/(-6)). Suppose -t + s = 20. Calculate the remainder when t is divided by c.
19
Let f = -235 - -283. Suppose -19*c + f*c - 2639 = 0. What is the remainder when c is divided by 25?
16
Suppose -24*m + 25*m = -i, 5*i = 2*m - 35. Let x(o) = o**3 + 5*o + 21 + 0*o**3 + 7*o**2 + 4*o. What is the remainder when 101 is divided by x(i)?
23
Let q(w) = -60*w + 15076. Calculate the remainder when q(118) is divided by 1598.
6
Suppose 167*y - 82*y - 17255 = 0. What is the remainder when 981 is divided by y?
169
Suppose -6*z + 0*z = 462. Let g = z - -244. Calculate the remainder when g is divided by 7/(-4*(-2)/48).
41
Suppose -577*j + 4029 + 3207 = -175*j. Suppose -20 = -5*l, -5*c + l + 215 = -4*l. What is the remainder when c is divided by j?
11
Let i = -453 - -456. Calculate the remainder when 85 is divided by (1 - i - 0)*(-1341)/298.
4
Let c be (2/(-2))/((-20)/6940). Suppose 5*b - c = 293. Calculate the remainder when b is divided by 13.
11
Let d = 410 - 235. Let j = d - 154. What is the remainder when j is divided by 5?
1
Let o(z) be the first derivative of z**4/4 - 35*z**3/3 - 16*z**2 - 117*z - 327. Calculate the remainder when o(36) is divided by 6.
3
Suppose -1523*x = -1550*x + 675. What is the remainder when 723 is divided by x?
23
Let v(x) = -5*x - 40. Let i be v(-8). Let g(r) = -r**3 - 2*r**2 + r + 50. Calculate the remainder when 97 is divided by g(i).
47
Suppose a - 3*r + 9 = 0, 841*a + 2*r = 838*a + 39. Let g be 2/(-6) - 846/(-27). Suppose g - 167 = -4*l. Calculate the remainder when l is divided by a.
7
Let u(b) = 6*b + 24. Let g be u(-4). Suppose -h = -2*o + 163 + 233, h = g. What is the remainder when (2/(-2))/((-18)/o) is divided by 3?
2
Let d = -1527 + 1552. Calculate the remainder when 7294 is divided by d.
19
Let p(g) = 5*g**2 + 11*g - 51. Let v(n) = 7*n**2 + 17*n - 76. Let c(q) = 8*p(q) - 5*v(q). Calculate the remainder when c(5) is divided by 19.
17
Suppose -431*t - 17 = -432*t + 5*l, 0 = -t + 4*l + 14. What is the remainder when (-1)/4 + (-735)/(-12) is divided by t?
1
Suppose -5*k + 4*h - 3*h + 499 = 0, 5*k + h = 501. Let z be 1/(-10) + (-290)/k. Calculate the remainder when 76 is divided by (-3)/2*(-4 - (-10)/z).
10
Let v(f) = 3*f**2 - 25*f + 125. What is the remainder when v(9) is divided by 43?
14
Suppose 6*i + 3*t = 5*i + 12, 2*i - 5*t = -31. Let k = i + 26. What is the remainder when 89 is divided by k?
20
Let b(f) = 166 - 11*f - 197 - 3*f. What is the remainder when b(-5) is divided by 22?
17
Suppose -c - 45 = -2*k, -3*c - 3 + 48 = 3*k. Suppose -5*u - x + 177 = 0, 2*u = 3*x + 60 + 21. What is the remainder when u is divided by k?
16
Let d = -69 + 73. Suppose -34 = d*b - 90. What is the remainder when 1640/28 - (8/b)/1 is divided by 20?
18
Let i(n) = -3*n - 78. Let h be -2 - ((-16)/(-64) + 230/8). Calculate the remainder when 313 is divided by i(h).
13
Let h(a) = 58*a**2 + a + 3. Let w = 422 - 423. What is the remainder when 237 is divided by h(w)?
57
Let k(b) = 106*b**2 - 1750*b + 47. Calculate the remainder when k(17) is divided by 26.
21
Let h be (0/2)/(-2) - -37. Let j be 28 + -1*(8 + -7). Suppose 4*x - h = j. What is the remainder when 25 is divided by x?
9
Let j(h) = 3*h**3 - h**2 - 2. Let a(u) = -8*u**3 - 3*u**2 - 10*u - 9. Let w(g) = a(g) + 3*j(g). Calculate the remainder when w(8) is divided by 5.
3
Suppose 42*o - 41*o + 3*l - 2181 = 0, 0 = -3*o - 5*l + 6543. Calculate the remainder when o is divided by 24.
21
Let m(p) = 43 - 3*p + 41 - 118 + 41. Calculate the remainder when 63 is divided by m(-3).
15
What is the remainder when 243 - (-4)/(56/(-70)) is divided by 44?
18
Suppose 2*k - 164 = -2*k. Let v = 60 - k. What is the remainder when 55 is divided by v?
17
Let v(p) = p**2 - 16*p + 11. Suppose -55 = 4*x + 3*i, 5*i = x + i + 9. Let c = 3 - x. Calculate the remainder when 29 is divided by v(c).
7
Let d(u) = u**3 + 27*u**2 + 22*u. Suppose 3*o + 104 = -o. Let a be d(o). What is the remainder when (-1 + -5 - -2) + a is divided by 35?
30
Let v be 16 + -5 - (-3 - -1). Suppose -u + 250 = 5*z, 12*u + 50 = z + v*u. Calculate the remainder when 198 is divided by z.
48
Let s(w) = w**3 + 10*w**2 - 14*w + 1. Let q be s(-11). What is the remainder when 127 is divided by 2*q*((-3)/2 - -2)?
25
Suppose -989 = -6*x - 168 - 245. Suppose 53 + 17 = 5*l. What is the remainder when x is divided by l?
12
Suppose -3*w = 27*t - 4*w - 8826, -4*w = -12. What is the remainder when 645 is divided by t?
318
Suppose 10*b - 8*b + 32 = 0. Let w = b + 41. Suppose 4*k = -18*k + 154. What is the remainder when w is divided by k?
4
Let m(p) = -505*p + 145. What is the remainder when 1126 is divided by m(0)?
111
Suppose 0 = -2*d + 2*n - 712, -4*d + 4*n - 2*n - 1428 = 0. Let c = d - -380. Calculate the remainder when 51 is divided by c.
7
Suppose 5*t = -f + 3*f + 107, 4*f + 249 = 3*t. Let h = 91 + f. What is the remainder when 61 is divided by h?
11
Let q(j) = 18*j**3 + 3*j**2 - j. Suppose 2*d = a + 8 + 1, 3*d - 15 = 0. What is the remainder when (4/((-12)/21))/((-2)/16) is divided by q(a)?
16
Suppose 9 = -3*a, 2*f - 3*a = f + 554. What is the remainder when f is divided by 14?
13
Suppose -m - g = -1, 0 = 2*m - 2*g - 0*g - 6. Suppose -m*w = -3*f + 165, -4*w + f = 193 + 112. Let c = w + 118. What is the remainder when c is divided by 25?
18
Let k = -302 - -286. Calculate the remainder when 244 is divided by (-328)/k*(4 + -2).
39
Suppose 0 = 75*v - 74*v - 5*t - 189, -15 = 3*t. Calculate the remainder when 433 is divided by v.
105
Let i = -81 - -249. Suppose -206 = -17*d + i. Let o = -151 + 256. What is the remainder when o is divided by d?
17
Suppose -2*n + 5*g + 18 = -36, 3*n = -2*g + 100. What is the remainder when n is divided by 19 + -5 - -12*7/21?
14
Let a(d) = 23*d**2 - 15*d - 16. Let o be a(-1). Let f(i) = i**3 - 20*i**2 - 31*i - 28. Calculate the remainder when f(o) is divided by 52.
50
Let d(c) = -c**3 - c**2 - c + 77. Let p = 162185 - 162176. What is the remainder when d(0) is divided by p?
5
Let y = 10892 + -10795. What is the remainder when 978 is divided by y?
8
Let i(g) = -g**2 + 9*g + 5. Suppose t = 2*d - 200, -t = 38 - 24. What is the remainder when d is divided by i(7)?
17
Calculate the remainder when (-64)/224 + (16092/21)/1 is divided by 202.
160
Suppose -5*u = -4*y - 45, -u - 4*u + 30 = -y. What is the remainder when ((-2)/y)/(3/(25 - -5)) is divided by 4?
0
Let s(z) = -z**2 + 2*z + 19. Let d be s(6). What is the remainder when (-5 - -159) + d + (-5 - -5) is divided by 9?
5
Calculate the remainder when (7 - 15 - (-6 - 8820/(-6)))/(-1) is divided by 38.
28
Let l = 3806 - 3067. What is the remainder when l is divided by 184?
3
Let t = 7 + 11. Suppose 0 = 42*l - 7967 - 223. Calculate the remainder when l is divided by t.
15
Suppose -491 + 4511 = -30*k. Let r = k - -152. Calculate the remainder when 5/(10/4) + 43 is divided by r.
9
Let p = -98 + 96. What is the remainder when