der when u(21) is divided by 31?
27
Suppose -93 = -4*q - 5*y, -4*q + 41*y - 38*y + 117 = 0. What is the remainder when 3076 is divided by q?
25
Suppose 7 + 5 = -4*z. Let y = z - -122. Suppose 0 = -4*x - 4 + 124. What is the remainder when y is divided by x?
29
Calculate the remainder when 69 is divided by 2674/(-573) - 220/(-6).
5
Suppose 5*a - 40 = -15. Suppose 3*l = r + 136, a*l + r + 45 - 269 = 0. Calculate the remainder when 84 is divided by l.
39
Let y(c) = -151*c - 6605. Calculate the remainder when 1456 is divided by y(-44).
13
Suppose 0 = 7*j - 43*j + 426 + 330. Let l(y) = 12*y - 4. What is the remainder when l(7) is divided by j?
17
Suppose -2*y + 239 = -1. What is the remainder when 28448/y - (-2)/(-30) is divided by 24?
21
Let y(d) = -24*d + 17. Let v(b) = 127*b + 2252. What is the remainder when v(-15) is divided by y(-4)?
8
Let f = 489 - 471. Let d(m) = 8 - 2*m**2 + 8*m + 5*m**2 - m**2. Calculate the remainder when d(-7) is divided by f.
14
Let l be -4 - (-6 + 0) - 168. Let a = l + 198. Calculate the remainder when 158 is divided by a.
30
Suppose -13*z = -20*z + 28. Suppose c + 2*k = 3*k + 20, -z = -c - 3*k. Calculate the remainder when c is divided by 2.
0
Let l(c) = -32*c + 452. What is the remainder when 393 is divided by l(14)?
1
Suppose 58*j - 48*j = 1780. What is the remainder when j is divided by 354/14 + 40/(-140)?
3
Let q = 8003 - 7610. Calculate the remainder when q is divided by 122.
27
Let j(b) = b**3 - 11*b**2 - 9*b - 31. Let h be j(12). Suppose -3*y - 94 = -5*r, r + h*y = 23 + 7. Let f = 2 + 6. Calculate the remainder when r is divided by f.
4
Let a = -75 + 92. Let k(i) = -i + 8. Let w(y) = -9. Let s(m) = -2*k(m) - 3*w(m). Calculate the remainder when s(11) is divided by a.
16
Suppose 0 = 3*a - 8*a + 3*d - 24, 4*a + 6 = -2*d. What is the remainder when 136 is divided by a/7 - (-1818)/126?
10
Let o(h) = -400*h - 3423. What is the remainder when o(-14) is divided by 22?
21
Suppose -342*q - 8619 = -393*q. What is the remainder when 364 is divided by q?
26
Let s(j) = 23*j - 6. Let y(z) = -z**3 - 7*z**2 - 6*z + 1. Let v be y(-6). Suppose c + v = 2. What is the remainder when s(c) is divided by 5?
2
Suppose 4*y = 4*t - 724, 0 = -23*t + 26*t + 2*y - 553. Calculate the remainder when 570 is divided by t.
21
Suppose 5 + 15 = -4*a - 2*p, 5*a - 2*p = -34. Let c(o) = o**2 - 18*o - 32. What is the remainder when c(a) is divided by 32?
16
Suppose 7*i - 1518 = -3*q - i, 5*i = q - 529. Calculate the remainder when q is divided by 168.
10
Let i(b) = -35*b - 268. Suppose 4*p - 1236 = -2*k, -3*p + 473 + 451 = 3*k. What is the remainder when p is divided by i(-8)?
10
What is the remainder when 277 is divided by 13 + -15 - (-151 - -11)?
1
Suppose -30*t - 10*t + 784 = -12*t. Let f(x) = -3*x**2 - 2*x**3 - 1 - 4 + 4*x + 3*x + 3*x**3. Calculate the remainder when f(5) is divided by t.
24
What is the remainder when (2*(-14)/(-8))/(-52 + (-715350)/(-13756)) is divided by 31?
27
Suppose -1761 - 2299 = -28*a. Calculate the remainder when 277 is divided by a.
132
Suppose 3*q - 3*s - s - 8 = 0, 0 = 5*q - 3*s + 5. Let o = q - 38. Let n = -17 - o. What is the remainder when 72 is divided by n?
22
Suppose n - 2 = -4*x - 3, 4*n - x - 47 = 0. Let a(z) = z**3 - 6*z**2 + 8*z. Let c be a(2). What is the remainder when 18 - (-1 + (c - 1 - -1)) is divided by n?
8
Let x(s) = 205*s**2 + 439*s - 1347. Calculate the remainder when x(3) is divided by 183.
168
Let x = -149 + 155. Let p(u) = 25*u - 73. Calculate the remainder when p(x) is divided by (-4)/(-18) - (-70)/9.
5
Suppose -3*r - 6 = -0. Let d be -4 + -1 - 8/r. Calculate the remainder when 45 is divided by ((-40)/20)/(d/6).
9
Suppose -38*d + 12*d = -910. Suppose d*a - 1862 = -462. What is the remainder when 396 is divided by a?
36
Let o(l) = l**3 - 7*l**2 + 10*l. Let t be o(5). Suppose y + 3*g = -y + 405, t = 3*y + 3*g - 603. What is the remainder when y is divided by 30?
18
Suppose 497*f = 4*y + 495*f - 330, 25 = 5*f. Calculate the remainder when 11304 is divided by y.
84
Let z = -18 - -17. Let q be (5 - 2)*1/z. What is the remainder when 102 is divided by q/(-12) - 177/(-12)?
12
Let h be (-3)/(-9)*3*3. Suppose 4*p - 93 = 2*p - 5*y, 4*p - 151 = -h*y. Calculate the remainder when 66 is divided by p.
32
Let n(j) = j**3 + 16*j**2 + 37*j - 13. Let b be (17/2 - 10)*(-26)/(-3). What is the remainder when 45 is divided by n(b)?
6
Suppose r + 3355 = 3*w, 3*w - 4*r = 1372 + 1968. Suppose -7*c + 12*c = w. What is the remainder when c is divided by 45?
44
Suppose -5*t - v = -11, -t - 13 = 5*v - v. Suppose 4*o = -t*k - 12 - 0, 4*o - 4 = k. Suppose -h = -6 - o. What is the remainder when 38 is divided by h?
2
Let o be 0 + 3 - (-5 + 5 + 3). Suppose -5*b + l + o*l + 159 = 0, 101 = 3*b + 5*l. Calculate the remainder when 61 is divided by b.
29
Let d = 1726 - 1716. What is the remainder when 1215 is divided by d?
5
What is the remainder when (-200)/24*1056/(-55) is divided by 6?
4
Suppose 2*g = 6 + 20. Suppose 0 = -4*y - 0 + 8. Suppose -g = -5*a + 7, -112 = -y*n + 2*a. What is the remainder when n is divided by 31?
29
Suppose 0 = 2*l - 196 - 192. Suppose -11*z + 108 = -46. Calculate the remainder when l is divided by z.
12
Let g(l) = -l**3 - 29*l**2 + 29*l + 65. Suppose -3*h = 2*n - 54, h + 65 = 5*h + 5*n. What is the remainder when g(-30) is divided by h?
15
Suppose 55*j + 17*j = 76536. Calculate the remainder when j is divided by 38.
37
Let f(z) = -z**2 + 18*z + 13. Let s(v) = -2*v**3 - 18*v**2 + 2*v + 36. Let i be s(-9). Calculate the remainder when 257 is divided by f(i).
10
Let j(k) = 52 + 3*k - 18*k + 7*k. Let x be j(9). Let s(f) = 3*f + 85. Calculate the remainder when 48 is divided by s(x).
23
Let o = 1149 - 1146. What is the remainder when 241 is divided by o?
1
Suppose -34*t = -27*t - 189. What is the remainder when (-5 + 1)/(-2*2/48) is divided by t?
21
Let m be (3/15*0)/1. Suppose 12 = 3*g, -4*u + g + 0*g - 4 = m. Suppose 5*s + 3*f - 88 = u, 0*s + 21 = s + 4*f. Calculate the remainder when 49 is divided by s.
15
Let r(l) = -3*l**2 - 72*l - 299. Suppose 3*n + 5*j - 175 = 0, -5*n + 2*j = -2*j - 230. What is the remainder when r(-17) is divided by n?
8
Let c(q) = 176*q**2 - 17*q + 38. What is the remainder when c(3) is divided by 7?
3
Suppose 2155 = 5*u - j + 5230, 2*j = 0. Let o = -362 - u. Calculate the remainder when o is divided by 51.
49
Suppose 23*v - 21*v = -5*a + 2367, -2*a + 962 = -3*v. What is the remainder when a is divided by 83?
60
Let p = 7290 + -6234. Calculate the remainder when p is divided by 48.
0
Let g(x) = -4*x + 9. Let w be g(4). Let q = 42 - 25. Calculate the remainder when (w - 3)*(-9 + -1) is divided by q.
15
Let c = -1731 + 1835. What is the remainder when 623 is divided by c?
103
Let y(u) = u**2 - 164*u + 6843. Suppose -16 = 2*x - 4*x - 4*p, 5*p = -25. Calculate the remainder when y(82) is divided by x.
11
Let i be 96 - -6*(-1)/(-2). Suppose i = 2*l + g, -314 = -4*l + g - 101. What is the remainder when l is divided by 14?
10
Let z(c) = 6*c**2 + 247*c + 738. Suppose -4*g + 6 = -2. Suppose 5*o = g*i - 44, 15 + 51 = 3*i + 3*o. Calculate the remainder when z(-3) is divided by i.
7
Suppose 13*i - 45 = 46. What is the remainder when (10/(-35)*i)/((-2)/18) is divided by 14?
4
Suppose -2*b = -w + 20, 29 + 91 = 4*w + 2*b. What is the remainder when 245 is divided by w?
21
Suppose -2*n + 1 = 17, -3*w + 2*n = -3082. Calculate the remainder when w is divided by 226.
118
Suppose -2*x + 114*j - 116*j = -12096, -4*j = -x + 6058. What is the remainder when x is divided by 68?
66
Let m = 113 + 58. Let v be m + 4 + -5 + 2 - 1. Suppose 4*k = -3*f + v, 4*k + 35 - 212 = -f. What is the remainder when k is divided by 8?
5
Let j(b) = 10*b + 18. Let o = 73 - 87. Let d be j(o). Let f = d - -141. Calculate the remainder when 92 is divided by f.
16
Let p(r) = 5*r**2 + 292*r + 221. Calculate the remainder when 548 is divided by p(-58).
23
Let b(q) = -6*q + 1. Let v(n) = 2*n + 4. Let a be v(-4). Let k(p) = -3*p**2 - 117*p + 7. Calculate the remainder when b(a) is divided by k(-39).
4
Let b(c) = -c**2 + 8*c - 8. Let g be b(6). Let h = -1302541 - -1302627. Calculate the remainder when h is divided by (-29)/g*-4*1.
28
Let c = 52 - -14. Let i = c + 53. Suppose 2*a + 27 - i = 0. Calculate the remainder when a is d