s = -444 + 654. Suppose 84*k = 77*k + s. Calculate the remainder when k is divided by 8.
6
Let p(m) = -13*m**3 + 25*m**2 + 60*m - 67. Calculate the remainder when p(-3) is divided by (249/(-12))/(2/(-8)).
80
Let y(s) = s**2 + 10*s - 13. What is the remainder when 10361 is divided by y(-12)?
10
Let t be (-18)/(-3) - 5 - -6. Suppose -t*n = -2*n - 5, -2*j + 38 = -2*n. What is the remainder when j is divided by 16/(-24) - 92/(-12)?
6
Suppose -4*z + 5*x + 266 = 94, 3*z + 5*x - 59 = 0. Calculate the remainder when 6104 is divided by z.
32
Let y = -10783 - -10812. What is the remainder when 556 is divided by y?
5
Let j = 25 + -6. Suppose -12*z - 2*z = -141610. Calculate the remainder when j is divided by (z/(-45))/(-17) - (-4)/(-18).
6
Let a = 5042 - 5010. Let t(r) = r**3 + 5*r**2 - 2*r - 6. What is the remainder when a is divided by t(-4)?
14
Let x = -4742 + 4755. What is the remainder when 79 is divided by x?
1
Suppose -4*v = x - 55, -3*v = -3*x + 2*v + 165. Let t = 41 - 39. Suppose -19 - 5 = -t*o. Calculate the remainder when x is divided by o.
7
Suppose 154 = 13*o - 197. Let f(n) = -n**3 + 5*n**2 + 42*n - 15. Calculate the remainder when f(9) is divided by o.
12
Let c = -100 - -210. Let n = c - 105. What is the remainder when 13 is divided by n?
3
Let w(y) = -47*y**3 + 3*y + 3. Let n(h) = h**2 + 3*h - 5. Let j be n(-4). Suppose 0 = -2*x + 46 - 14. Calculate the remainder when w(j) is divided by x.
15
Let r = -499 - -129. Let o = -161 - r. What is the remainder when o is divided by 54?
47
Let o(q) = -q**3 + 11*q**2 + 13*q + 45. Calculate the remainder when (-34)/(-4)*(2 - -24) is divided by o(12).
50
Let c be (-39463)/(-133) - (-2)/7. Suppose 5*h - 58 = c. Calculate the remainder when 208 is divided by h.
66
Suppose 104*i - 202*i + 14210 = 0. Calculate the remainder when 4052 is divided by i.
137
Let k(z) = z**2 + 9*z + 9. Let n(h) = -57*h + 165. Calculate the remainder when k(13) is divided by n(2).
40
Let b = 32 - 220. Let d = b + 219. What is the remainder when d is divided by 16?
15
Let y(r) = -r**3 - r**2 - 9*r + 2. Let h be y(4). Let u be (h/4)/(21/(-28)). Suppose -2*f + u - 8 = 0. Calculate the remainder when f is divided by 6.
3
Let t(j) = -1 + 25 - 15 - 5*j**3 - j. Calculate the remainder when t(-4) is divided by 28.
25
Suppose -317*o + 250 = 294*o - 11359. Calculate the remainder when 23406 is divided by o.
17
Suppose -13*w = 6*w - 12*w - 3437. Calculate the remainder when w is divided by 180.
131
Let z = 54 - 44. Let i be (-1 + (-14)/(-10))*z. Let h(g) = g**3 + 5*g**2 - 4*g + 5. What is the remainder when h(i) is divided by 17?
14
Let m(v) = v**2 - 15*v - 54. Suppose -5*s = -10*s - 4*s + 513. Calculate the remainder when m(24) is divided by s.
48
Let q(b) = 3*b**2 + 19*b - 215. Calculate the remainder when q(9) is divided by 69.
61
Let b(v) = 31*v**2 + 952*v - 48. What is the remainder when b(-31) is divided by 124?
107
Calculate the remainder when (14/(-8) - -1)*-4*(-22068)/(-54) is divided by 24.
2
What is the remainder when 384 is divided by (-115)/69*24/(-10)?
0
Let r be (-136)/(-34) + (2 - (2 + 603)). Let q = 691 + r. What is the remainder when 187 is divided by q?
3
Let p(b) = b + 7. What is the remainder when 94 is divided by p(7)?
10
Suppose -l + 10 = -4*u, 17*u = 5*l + 21*u - 98. What is the remainder when 791 is divided by l?
17
What is the remainder when 272 is divided by 77/11 + -2 + 97?
68
Let j = -91 - -155. Let p(n) = n**3 - 24*n**2 + 1. Let d be p(24). Suppose -4*q + 43 = b, d = b - 5*q + 3. Calculate the remainder when j is divided by b.
18
Let l(n) = -n**2 + 28*n - 129. Let d(z) = -3*z - 37. Calculate the remainder when l(7) is divided by d(-16).
7
Suppose 2*n + 72*v - 75*v - 583 = 0, 4*n + 5*v - 1199 = 0. Let b = 53 - 42. What is the remainder when n is divided by b?
10
Let q be (-36)/6*-1 + -4. Suppose -174 = -q*l - 4*l. What is the remainder when 137 is divided by l?
21
Let m(g) = g**2 - 807*g + 6457. Let s = 5 - 8. Let c(r) = 2*r**2 - 1. Calculate the remainder when m(8) is divided by c(s).
14
Let u(j) be the third derivative of j**6/120 + 7*j**5/60 - 5*j**4/8 - 19*j**3/6 + 50*j**2. Let p = 1 - -7. What is the remainder when u(-8) is divided by p?
5
Let k = 28 + 3. Suppose 1422 = 22*c - 5*c + 181. Calculate the remainder when c is divided by k.
11
Let p(a) = 6*a - 10. Let t be p(4). Suppose 0 = c - y, 2*c - 11 - t = -3*y. Let f = -63 - -78. What is the remainder when f is divided by c?
0
Suppose -4*n - p - 4*p + 186 = 0, -5*p = 10. Suppose 3*o = -5*t + n, 7*t = 4*t + 6. Suppose -8 = 5*c - 118. Calculate the remainder when c is divided by o.
9
Suppose 3*l - 1151 = -884. What is the remainder when 159 is divided by l?
70
Let x = -8590 + 10439. Calculate the remainder when x is divided by 116.
109
Let l = -984 + 1114. Let n be (-2 + 1)*(-1 + -1). Suppose -4*v = 12, 5*y = -n*v + 127 + 87. What is the remainder when l is divided by y?
42
Calculate the remainder when 746 is divided by (-5 + (-1003)/51)*(-6)/4.
6
Let n = -29 + 59. Let i = -38034 + 38135. Calculate the remainder when i is divided by n.
11
Suppose 6*a - 443 = 241. Let i(g) = 21*g**2 + 99*g - 555. Calculate the remainder when i(6) is divided by a.
111
Let v = 2 + 12. Let r(l) = -8*l + l**2 - 24 + l + l + 0*l. Calculate the remainder when r(-9) is divided by v.
13
Let j(y) = 2*y + 1. Let w(f) = 14*f + 1. Let v(z) = -2*j(z) - w(z). Let p = -3 - -1. What is the remainder when v(p) is divided by 12?
9
Suppose d = 158 + 367. Let u(k) = k**3 + 13*k**2 - 113*k - 952. What is the remainder when d is divided by u(-16)?
85
Calculate the remainder when 221 is divided by -10*(-32)/15*(-51)/(-34).
29
Let d(c) = c**2 + 46*c + 378. Calculate the remainder when 1768 is divided by d(-38).
66
Let x be (0 - (-66)/(-5))/(156/520). Let l = x - -60. Calculate the remainder when (252/l*-1)/((-2)/16) is divided by 32.
30
Suppose 4*k + 5*x = 345, 5*x - 197 + 12 = -2*k. Let j be (-1 + 358)/(18/12). Suppose -j - 56 = -7*y. What is the remainder when k is divided by y?
38
Suppose w = 26*w - 300. Calculate the remainder when w is divided by (18/(-5) - -2)*10/(-4).
0
Suppose 5*r + 30 = 115. Suppose 2*n - r*n = -4110. What is the remainder when n is divided by 55?
54
Suppose -48*g - 3477 = -7125. Let s(h) = -h**3 + 14*h**2 - 22*h + 3. What is the remainder when s(9) is divided by g?
58
Suppose -11*w = -7*w - 2*u + 8, 5*w + u - 4 = 0. Suppose 0 = -3*d + 5*q + 42, w = -3*d - q + 52 + 8. What is the remainder when 246 is divided by d?
18
Suppose 4 = -5*o + 9. Let s = 110 + -102. What is the remainder when ((-2)/(-8)*6)/(3/s) is divided by o?
0
Let p(b) = 67*b + 806. Let i(g) = -20 + 36 + 13*g - 13 - g**2. Calculate the remainder when p(-11) is divided by i(11).
19
Let i = -83 - -129. Suppose -i*h - 20 = -41*h. What is the remainder when (-1 + -3)/(h*(-2)/(-212)) is divided by 27?
25
Let c = 36237 - 2778. What is the remainder when c is divided by 11?
8
Let o(z) = -115*z - 579. Calculate the remainder when o(-6) is divided by 60.
51
Let b(r) = r**3 - 16*r**2 - 14*r + 3. Let u = 2076 - 2056. Calculate the remainder when b(17) is divided by u.
14
Let b(q) = q**3 - 50*q**2 + 5*q - 124. What is the remainder when b(50) is divided by 99?
27
Suppose 3*f + 4*j - 14 = 12, -f - 5*j + 27 = 0. Suppose -2*q - 208 = f*q. Let x = 80 + q. Calculate the remainder when x is divided by 15.
13
Let o = 117 - 108. Let b(g) = 2*g - 14. Let p be b(12). Suppose -o*y = -p*y + 10. Calculate the remainder when 39 is divided by y.
9
Let f(w) = w**2 + 17*w + 32. Let b(x) = x + 7 - 2 - 6 + 16*x**2. Calculate the remainder when b(-2) is divided by f(-17).
29
Let u = 389 + -270. What is the remainder when u is divided by (1/(-1))/(((-4)/248)/1)?
57
Let g = 109 + -289. Let l = 231 + g. What is the remainder when l is divided by 13?
12
Calculate the remainder when (7 - 23)/((-8)/32 - 0) is divided by 55.
9
Calculate the remainder when 17178/7*(-22)/(-33) is divided by 39.
37
Let d be 10 + -1 + (9 - 4 - 9). Suppose d*h - 46*h + 205 = 0. What is the remainder when 13 is divided by h?
3
What is the remainder when (1/(1/(-158)))/(12/(-30)) is divided by 78?
5
Suppose 3 = 2*u - 1. Suppose 3 + 5 = 2*o + 5*b, 2*b - 16 = -4*o. Suppose -3*r - a = -56, o*a = -u + 22. What is the remainder when 49 is divided by r?
15
Let s be 12/((