uppose 2*w - 423 = 3*r, 8*r + 413 = 2*w + 3*r. Let k = 316 - w. What is the remainder when k is divided by 52?
45
Let p(j) = 34*j**2 + 1257*j + 109. What is the remainder when 247 is divided by p(-37)?
101
Let f(z) = 1 + 4*z - 8*z + 5*z + 0. Let s be f(4). Let j = s - -63. What is the remainder when j is divided by 14?
12
Let i(d) = 3*d**2 + d - 7. Let h = 7070 + -7021. What is the remainder when i(-6) is divided by h?
46
Suppose -302*i + 94*i - 23271 + 141831 = 0. Calculate the remainder when i is divided by 281.
8
What is the remainder when 246 is divided by (-35)/(-25)*(1 + (-36)/(-4))?
8
Let b(k) = 4*k + 8. Let x be b(-3). Let l be -2 - x - 9/(-3). Suppose l*t + 4*v = -0*v + 79, -2*v = 8. Calculate the remainder when 93 is divided by t.
17
Suppose 0 = -37*q + 38*q. Suppose d + 1 = -q*d, -28 = -2*n - 2*d. Calculate the remainder when 119 is divided by n.
14
Let i(a) = -1441*a - 8199. Calculate the remainder when i(-16) is divided by 39.
37
Let y = 172 - 184. What is the remainder when (-3)/y + (-1676)/(-16) is divided by 11?
6
Suppose -18*l = 139598 - 140030. Let k be (-1221)/(-5) - (-2)/(-10). Let h = k + -125. What is the remainder when h is divided by l?
23
Let c(j) = j**2 + 23*j - 3659. Calculate the remainder when 1221 is divided by c(52).
16
Let y = 852 + -789. Let x(m) = 15*m**2 - 3*m - 2. Calculate the remainder when x(-4) is divided by y.
61
Let f = -4982 - -5024. Calculate the remainder when f is divided by 3/8 + 879/24.
5
Let g = 12 + 2. Let z(i) = i. Let t(k) = 51*k**2 - 4*k + 3. Let h(s) = t(s) + 2*z(s). Calculate the remainder when h(1) is divided by g.
10
Suppose 0*d - 3*d = 252. Let b = d + 87. Suppose b*a - 76 = -2*t - 23, 0 = -4*a + 20. What is the remainder when t is divided by 8?
3
What is the remainder when 78 is divided by ((-5)/(-1)*(-986)/170)/(-1)?
20
Let i(r) = -2*r - 8. Suppose -12 = -a + 3*a. Let z be i(a). Suppose 28 = -z*m + 6*m. Calculate the remainder when 34 is divided by m.
6
Suppose 14*c + 7859 - 36097 = 0. Suppose -7*r - 610 = -c. What is the remainder when r is divided by 54?
39
Let p(d) = d**2 - 27*d - 88. Let a(g) = -1. Let s(k) = -5*a(k) + p(k). Let w(m) = -4*m + 2. Calculate the remainder when s(32) is divided by w(-2).
7
Let y(c) = 2*c**3 + 108*c**2 + 77*c - 10. Calculate the remainder when y(-53) is divided by 506.
9
Suppose 89*q - 663 = -80*q + 152*q. Calculate the remainder when q is divided by 29.
10
Suppose 949*h - 950*h = 3*l + 3, 27 = -3*l - 5*h. Calculate the remainder when (-4)/(1/2 + -1) is divided by l.
0
Suppose -5633 + 23280 = 135*c - 2063. What is the remainder when 1742 is divided by c?
136
Suppose -3*z = 2*i - 110, -5*i + 3*z + 270 = 8*z. Calculate the remainder when (-3 + 2)*-15 + 658 is divided by i.
49
Let z(d) = 14*d**2 - 206*d + 3282. Calculate the remainder when z(48) is divided by 202.
198
What is the remainder when 12886 is divided by (-2)/3*54*(15 + -17)?
70
Let q be 6409/(-87) - 8/6. Calculate the remainder when (-4 - 192/(-10))*q/(-6) is divided by 42.
22
Let t = -2179 + 2184. What is the remainder when 332 is divided by t?
2
What is the remainder when 715 is divided by ((-1344)/98)/(2/(-7))?
43
Let o(h) be the third derivative of h**4/6 + 47*h**3/6 - 6*h**2. Let g be o(-10). Suppose -1416 = c - g*c. What is the remainder when c is divided by 34?
32
Let m = 642 - -216. Calculate the remainder when m is divided by 72.
66
Suppose -3*z - 3*z - 392 = -14*z. What is the remainder when 321 is divided by z?
27
Suppose 36*d - 8 + 224 = 0. Calculate the remainder when 79 is divided by (37/4)/(d/(-24)).
5
Let l = 22432 - 22411. Calculate the remainder when 10792 is divided by l.
19
Let r(o) = 34 - 36 - 10*o**3 - o + 0*o. Let t be r(-1). What is the remainder when 45 is divided by 30/t*(-3 - (-102)/10)?
21
Suppose 42*t + 966 = 203*t. Calculate the remainder when 129 is divided by t.
3
Let v be (1/(-1) + -1)/((-14)/56). Calculate the remainder when 219 is divided by (-3)/(-2) - v/(144/(-279)).
15
Let p(r) = -68 + 120 - 7*r - 71. Let l be p(-2). What is the remainder when 45 is divided by (l - -17) + 4/1?
13
Let v = -21974 - -22618. What is the remainder when v is divided by 167?
143
Suppose 5*z - 2*d = 260, 0 = d + 2*d. What is the remainder when z is divided by ((-432)/(-6))/(-3)*15/(-12)?
22
Suppose 2*k + 2*b - 2 = 2, 2*k + 4*b = 4. Suppose 5*o - k*o = 0, -2*o = 5*h - 825. What is the remainder when h is divided by 56?
53
Let u be (2 - 6)/(48/(-36)). Suppose u*k = -5*s + 741, -4*s + 4*k + 398 + 182 = 0. Calculate the remainder when s is divided by 37.
36
Let g = -143177 - -143229. What is the remainder when g is divided by ((-124)/6)/(4/(-6))?
21
Suppose 21107*y = 21126*y - 7144. What is the remainder when y is divided by 47?
0
Let t(q) = 10*q + 0*q**3 - 26 + q**3 + 1263*q**2 - 1251*q**2. What is the remainder when 737 is divided by t(-10)?
71
Let m(y) = -24*y + 242. What is the remainder when 8839 is divided by m(3)?
169
Let s(k) = -k**3 - 12*k**2 - 8*k + 1. Let l = -22 - -8. Let u be s(l). Suppose u - 45 = 5*v. What is the remainder when v is divided by 24?
20
Let a(u) = 6*u**2 - 3*u + 2. Let w be a(1). Suppose 0 = 3*o - 4*m - 91, 0 = -w*o + 9*o + 3*m - 163. What is the remainder when 144 is divided by o?
33
Let x(b) = -3*b + 21. Let y be x(-8). Suppose 2*m = 3*u - 69, 4*m + 2*u = -0*m - 146. Let g = m + y. What is the remainder when 43 is divided by g?
7
Suppose 0 = 3*s - 2*g + 258, -5*s - 5*g + 2*g = 430. Let x = s - -102. What is the remainder when 91 is divided by x?
11
Suppose -2628 + 5334 = 43*h - 11527. Calculate the remainder when 377 is divided by h.
46
Let q be (-4 + (5 - 76))*1. Let l = -51 - q. What is the remainder when 51 is divided by l?
3
Let n = 5284 - 2999. What is the remainder when n is divided by 84?
17
Let b = -9152 - -9563. What is the remainder when b is divided by 114?
69
Suppose -t - 8 = 3*u, 2*u - 62 = -3*t - 51. Calculate the remainder when 2791 is divided by t.
5
Let h(f) = 2*f**3 - 6*f**2 + 8*f + 3. Suppose -15 = 19*y - 24*y. Calculate the remainder when (-4)/(-6)*(-159)/(-2) is divided by h(y).
26
Let n be -23 - -22 - (-2)/(4/1254). Suppose 4*d - n = 370. Calculate the remainder when d is divided by 28.
25
Let r = -6 + 17. Let b(z) = -2*z + 24. Let f be b(r). Suppose -53 = -i + 5*n, f*i - 2*n - 31 - 51 = 0. What is the remainder when 188 is divided by i?
36
Let r be (63/6)/(-7)*-2. Suppose r*h + 204 = -3*s, -2*h + 128 = s - 3*s. What is the remainder when 88 is divided by (-1562)/s + (-2)/3?
19
Suppose -5433 - 799 = -38*p. Suppose 2*m = -3*j + 80, -j = -0*j + 2*m - 24. Calculate the remainder when p is divided by j.
24
What is the remainder when 288 is divided by (-1353)/(-9) + -10*8/(-48)?
136
Let o be (1 - 0) + 2/1. Suppose -2*q + 9 = o*a + q, 3*q - 21 = 3*a. Calculate the remainder when 318*(-1)/a - 4/(-2) is divided by 41.
38
Let u(k) = -1. Let r(q) be the second derivative of q**3 + q**2 + 12*q. Let b(s) = r(s) + 5*u(s). Calculate the remainder when 40 is divided by b(4).
19
Let d = -8964 - -9006. What is the remainder when d is divided by 22?
20
Let b be (4 - -4)/((-4)/(-2)) - -10. Suppose 6*l + 44 = b. Let k = l + 27. What is the remainder when 42 is divided by k?
20
Let t = 110 - 32. Suppose 176 = 4*p - 2*s, 35*p = 34*p + 3*s + 54. Calculate the remainder when t is divided by p.
36
Let n(x) = 46*x**2 + 318*x - 18. Calculate the remainder when 784 is divided by n(-7).
4
Let s(k) = k**3 - 5*k**2 + 4*k + 5. Let x be (-1)/2 - (81/(-6) + 3). Suppose -66 = -x*h - h. What is the remainder when s(5) is divided by h?
1
Let k(n) = -133*n. Let t = 119 - -11. Suppose -5*l + t = -5*h, -15*l - 86 = -18*l - 5*h. Calculate the remainder when k(-1) is divided by l.
25
Suppose -78*g + 38*g + 38*g = -712. What is the remainder when g is divided by 78?
44
Suppose -5*t = -6717 - 18049 + 4461. What is the remainder when t is divided by 6?
5
Let i = 12165 - 12087. Calculate the remainder when 3352 is divided by i.
76
Let n = -4890 - -5249. What is the remainder when n is divided by 29?
11
Let b(r) = 3*r**3 - 301*r**2 + 100*r + 41. Calculate the remainder when 160 is divided by b(100).
37
Suppose 6*x = -409 - 137. Let c be ((-1)/(-4) - -1)*124. Let f = x + c. Calculate the remainder when f is divided by 24.
16
Let k(y) = -y**3 + 4. Let o be k(0). Suppose 0*n - 