der when p(-8) is divided by n(31)?
3
Let x(j) = 10*j**3 + j**2 - j. Let q = -370 + 371. What is the remainder when 41 is divided by x(q)?
1
Suppose -4*o + 4*w - 107 = -327, 5*w = -o + 25. Calculate the remainder when 129 is divided by ((-36)/10)/(5/(o/(-3))).
9
Suppose f + 5*b = 16 + 40, f - b = 62. What is the remainder when 902 is divided by f?
48
Suppose l + 249 = 3*h, 72*l + 6 = 74*l. What is the remainder when h is divided by 43?
41
Let z = 1385 - 985. Let j = -375 + z. What is the remainder when j is divided by 8?
1
Let k = -23980 - -23997. Calculate the remainder when 7204 is divided by k.
13
Suppose 0*z = 4*z + 16, -3*h + 2*z - 577 = 0. Let f = h + 216. What is the remainder when 146 is divided by f?
20
Suppose -2*a - 302 = 3*m, 3*m + 161 = -5*a - 135. Let j = -41 - m. Calculate the remainder when 424 is divided by j.
58
Let g(u) = -25*u + 8. Let x = -42009 - -42016. Calculate the remainder when g(-6) is divided by x.
4
Let n = 45 - 41. Suppose 0 = -4*a + 4 + n. Suppose a*y + 7 = 35. What is the remainder when 26 is divided by y?
12
Let d be 100*10 - (5 + -1 + 1). What is the remainder when (d/30)/(15/90) is divided by 304/6 + 2/(-3)?
49
Suppose -3*b - b = -216. Let g = -49 - -63. Calculate the remainder when b is divided by g.
12
What is the remainder when (2*1)/((-4)/(-320)) is divided by (-15)/(-20) - (-1353)/132 - -13?
16
Let o = -182 - -186. Suppose -4*d = o*v - d - 103, 4*d - 20 = 0. What is the remainder when v is divided by 16?
6
Let g(r) = -7*r - 31. Let b(l) = 20*l + 93. Let v(n) = 6*b(n) + 17*g(n). Let p = 114 + -62. Calculate the remainder when p is divided by v(-20).
8
Let h be (918/36)/(3/(-6)). Let b = 3 - h. Suppose 0 = -5*i + 4*i + 7. What is the remainder when b is divided by i?
5
Let p = 370 + -258. Suppose -113 + 573 = 20*m. Calculate the remainder when p is divided by m.
20
Let b be (82/3)/(10/90). Suppose -160 = -29*i + b. What is the remainder when i is divided by 5?
4
Suppose 10 + 12 = 11*g. Suppose 3*l - l - g*j - 12 = 0, 0 = 4*l + 3*j - 52. Suppose 1045 = i + l*i. What is the remainder when i is divided by 32?
31
Let k(x) = x**2 - 9*x - 47. Let s be k(-4). Suppose 409 = s*j + 2*w, -4*w = j + 15 - 86. What is the remainder when j is divided by 12?
11
Let g be (12/4)/(1 - 4/7). Suppose 0 = -g*b + 365 - 64. Suppose w + 6*r - 18 = 2*r, -2*w + 5*r = -49. Calculate the remainder when b is divided by w.
21
Let q be 3*(-2)/2 + 38. Suppose 30*t = q*t + 40. Let u = t + 19. What is the remainder when 54 is divided by u?
10
Let h be (-48)/(-3)*3/4. Let y = h + -3. What is the remainder when 39/(28*72/2688) is divided by y?
7
Suppose 25*l = 29*l + 220. Let n = l - -59. Suppose -n*o + 9*o - 95 = 0. Calculate the remainder when 94 is divided by o.
18
Suppose 0 = -34*d + 2933 + 38513. Let s = d + -980. What is the remainder when s is divided by 40?
39
Suppose 3*p - 4*i - 3653 = -786, 5*p + i - 4809 = 0. What is the remainder when p is divided by 55?
26
Let p(u) = 8*u - 232. Let d(l) = -2*l + 58. Let w(x) = 9*d(x) + 2*p(x). Calculate the remainder when 96 is divided by w(11).
24
Let o(d) = 39*d - 347. Calculate the remainder when 2414 is divided by o(12).
115
Suppose 3*d - 12 = -3*d. Let n(v) = 19*v**2 + 11 - 26*v + 16*v**2 - 30*v**2. What is the remainder when n(5) is divided by d?
0
Let a(p) = 10*p**2 + 6*p + 2. Let w be a(7). Suppose -22*n = -w - 2964. Calculate the remainder when n is divided by 18.
15
Let f be 8/(-60)*-18*185/2. Suppose 2*z - f = -2*a, -2*z + z - 4*a + 108 = 0. What is the remainder when z is divided by 24?
16
Let t(x) = -x**3 - 22*x**2 + 57*x + 1645. Calculate the remainder when 31 is divided by t(-21).
3
Let q be ((-18)/8)/(9/24). Let a be (q/15)/(1/(-30)). Calculate the remainder when (-3)/(-1)*a + -4 is divided by 9.
5
Suppose -3*u - 6*i = -i - 356, -2*i - 16 = 0. Calculate the remainder when 427 is divided by u.
31
Let i(o) = o**3 + 10*o**2 + 86*o + 1077. What is the remainder when 433 is divided by i(-11)?
3
Let o(y) = -2*y. Let p(l) = -2*l + 10. Let b be p(0). What is the remainder when ((-132)/b)/(12/(-30)) is divided by o(-6)?
9
Let i = -925 - -1547. Calculate the remainder when i is divided by 65.
37
Suppose -2*f + 3*y + 2*y + 320 = 0, 473 = 3*f - 4*y. Let a = 771322 + -771266. What is the remainder when f is divided by a?
43
Suppose 9154 - 2206 = 12*r. Let t = -342 + r. Calculate the remainder when t is divided by 10.
7
Suppose 99 = 3*x - 0. Let b be (-1)/(9/(-6))*-3. Calculate the remainder when b + 0 - (-88 - -24) is divided by x.
29
Let s = 59233 - 59212. Let c(l) = 45*l**2 + l - 1. Calculate the remainder when c(-2) is divided by s.
9
Let q(h) = -66*h - 90. Let f be q(-9). Suppose s - f = -4*p, 5*p = -4*s - 276 + 906. Calculate the remainder when p is divided by 44.
38
Suppose -2*r = -4*t + 2, 71 = -r + 3*t + 65. What is the remainder when 260 is divided by r?
8
Suppose 0 = 18*f - 21*f - 15, -3*f + 1569 = 3*k. Calculate the remainder when k is divided by 172.
12
Let m(t) = 2*t**2 + 17*t + 71. Let p be m(-7). Let l be 654/(-14) - 6/21. Let a = l + p. What is the remainder when 15 is divided by a?
0
Suppose -158*l + 51*l + 102114 = -80*l. What is the remainder when l is divided by 43?
41
Let n(x) = x**2 + 3*x - 65. Let h be n(-10). Suppose -3*r + k = -2369, -h*k = -3*r - 0*r + 2377. Calculate the remainder when r is divided by 79.
78
Suppose p - 88 = -s, 6*p = 4*s + 2*p - 328. What is the remainder when s is divided by 11*(-6)/((-12)/2)?
8
Suppose 0 = -75*p + 122*p - 206847. What is the remainder when p is divided by 31?
30
Let u be (-1)/(-2)*(3 - 7). Let v be (u - -7)*(-2 + 1). What is the remainder when 46 is divided by 12 + 3 + 15/v?
10
Suppose 9 = -3*t - 3, 2*o = -t + 300. Let l = o - 142. Calculate the remainder when 18 is divided by l.
8
Let y(t) = t**2 + 25*t + 157. What is the remainder when 13356 is divided by y(-26)?
180
Let v(a) = -a**3 - 3*a**2 - 3*a + 7. Let r be v(0). Suppose -w - 91 = -5*m, -3*w = 5*m - r*w - 79. What is the remainder when 39 is divided by m?
1
Let c = 8418 + -8384. What is the remainder when 2306 is divided by c?
28
Let b(m) = -m**3 - m**2 - 5*m - 20. Let g be b(-4). Let x(n) = -2*n**2 + 99*n - 107. What is the remainder when 71 is divided by x(g)?
34
Calculate the remainder when 2435 is divided by (4401/(-45))/((-27)/45).
153
Suppose 0 = -2*p + 4*y + 76, 3*p + 3*y - 192 + 87 = 0. Let d(u) = -6*u**3 - 2*u**2 + 4*u. What is the remainder when d(-3) is divided by p?
24
Suppose -o - 56 = -a, 0 = -4*a + 2*o + 3*o + 224. Let q = 25 + a. Suppose -9 = -f + 8. Calculate the remainder when q is divided by f.
13
Suppose 2*n - 1282 = -b + n, -3*n + 2562 = 2*b. What is the remainder when b is divided by 43?
37
Suppose -4703*j + 4708*j = -3*y + 947, 5*j = 5*y + 835. Let n = 131 + -72. Calculate the remainder when j is divided by n.
4
Let n(w) = -10*w**3 + 3*w**2 + 8*w**3 + 4*w + 0 + 7. Calculate the remainder when 77 is divided by n(-2).
23
Calculate the remainder when 2670 is divided by 80/60*(-15)/(-2) - -4.
10
What is the remainder when 146 is divided by -2 + (12 - -15) + -4 + 1?
14
Let n(b) = -b**2 - 25*b - 36. Let o be n(-23). Let u be (38 + o)/(3/(-2)). Calculate the remainder when 47 is divided by u/16 + ((-36)/(-2) - 0).
15
Let y(w) = w**3 - w**2 + 2*w - 1. Let r be -23 + 26 - (1 - 15). Suppose r*l - 25*l + 104 = 0. What is the remainder when l is divided by y(2)?
6
Let m(w) = 31*w + 414. What is the remainder when 29 is divided by m(-13)?
7
Suppose 4*t - 22 + 61 = 5*p, -2*p + 17 = -3*t. Calculate the remainder when 1707 is divided by p.
6
What is the remainder when 3533 is divided by (116/18 - 56/(-36)) + -1 + 53?
53
Let h(l) = -105*l**2 - 7*l + 52. Let a(d) = -d + 23. Calculate the remainder when h(0) is divided by a(0).
6
Suppose -2*v - 20*g + 16*g - 8 = 0, v = 5*g + 24. Suppose 4*j - 60 = -4*t, -v*j + 3 = -1. Suppose 1 = d - 23. Calculate the remainder when d is divided by t.
10
Let h = 274 - 262. Let l = 36 - 21. Suppose 5*z = u + 11, -h*z + l = 3*u - 15*z. What is the remainder when 32 is divided by u?
5
Let z = 159 - 223. Let x = -40 - z. Suppose -y = 2*y - 207. Calculate the remainder when y is divided by x.
21
Let m be ((-4)/(-5))/(5 + (-745)/150). Suppose 16 - m = 2*u. Calculate the remainder when 27 - (u/6)/((-8)/12) is divided by 7.
5
Calculate th