culate the remainder when q is divided by 8.
7
Let k(n) = -n**2 + 8*n - 7. Suppose 4*i - 3*y = -60, -5*y + 16 = -2*i - 0*i. Let c = i + 24. Calculate the remainder when 9 is divided by k(c).
4
Let k(m) = -m**3 + 23*m**2 + 32*m + 59. What is the remainder when k(24) is divided by 62?
3
Suppose 2*u = -5*p + 11 - 4, -u - 16 = -4*p. Calculate the remainder when (-2)/4 + (-194)/u is divided by 18.
12
Let d(m) = m**2 - 8*m - 11. Let y = 8 - -4. What is the remainder when d(y) is divided by 19?
18
Let k(r) = r**3 - 9*r**2 + 3*r - 20. Let a be k(9). Suppose 1140 = a*n + 3*n. Calculate the remainder when n is divided by 23.
22
Suppose -x + 132 - 89 = 0. What is the remainder when 1416 is divided by x?
40
Let q(y) = y**3 - 5*y**2 + 3*y - 6. Let h be 5/(5 + -3 + -1). Suppose 5*u - 3*r = 26, -u - 3*r = -r. Calculate the remainder when q(h) is divided by u.
1
Calculate the remainder when 12/((-48)/20) + 1*33 is divided by 15.
13
Suppose -55*p = -44*p - 4763. What is the remainder when p is divided by 109?
106
Calculate the remainder when (-1)/(-3 + 202/(-201) + 4) is divided by 51.
48
Suppose -4*k - 16 = -2*k - 2*l, 0 = k - 5*l + 16. Let u = 13 + k. Let c = -21 - -34. Calculate the remainder when c is divided by u.
6
Let x(q) = q**2 + 7*q + 4. Let v be x(-6). Let n = v - -7. Suppose -5*d = -2*b + 46, 12*b + d + 115 = 17*b. Calculate the remainder when b is divided by n.
3
Suppose -12*r + 24*r - 504 = 0. What is the remainder when 208 is divided by r?
40
Calculate the remainder when (2 + 10/(-3))*(-3276)/42 is divided by 51.
2
Suppose -c = -13 - 65. Let p be (-18)/5 - 4/10. What is the remainder when ((-10)/15)/(p/c) is divided by 5?
3
Let f = -12 - -27. Let o(l) = -l**3 - 31*l**2 + 25*l - 53. Let d be o(-32). Let u = d + -129. Calculate the remainder when u is divided by f.
12
Suppose 6*j = 4 + 2. Calculate the remainder when 6/4*(7 - j) is divided by 6.
3
Suppose 16 = -4*h, -4*u + 0*h - 32 = h. Let i = u + 18. Suppose 0 = -4*x + 8*x - 24. Calculate the remainder when i is divided by x.
5
Let i(b) = 10*b + 11. Let y be (-6)/54 + (-2)/(-18). What is the remainder when 20 is divided by i(y)?
9
Suppose 1544*s + 261 = 1553*s. What is the remainder when s is divided by 27?
2
Suppose -9*o + 7*o = -3*i - 43, 0 = 5*o + 5*i - 70. Calculate the remainder when 44 is divided by o.
10
Suppose -18 - 22 = -2*x - 4*t, 4 = 2*t. Calculate the remainder when 49 is divided by x.
1
Suppose -2 = -3*w + 22. Let m = -1372 + 1394. What is the remainder when m is divided by w?
6
Let n(h) = -4*h + 69. Calculate the remainder when 1032 is divided by n(0).
66
Let x = -96 - -85. Let i(w) = -w**2 - 14*w + 19. What is the remainder when i(x) is divided by 9?
7
Let b be 3731/(-52) - (-1)/(-4). Let j = 190 + b. Calculate the remainder when j is divided by 30.
28
Suppose -110 + 25 = -5*j. Calculate the remainder when 40 is divided by j.
6
Let n = -1162 - -1320. Calculate the remainder when n is divided by 59.
40
Suppose -6 = -u + 4*u. Let q(a) = 14*a**2 + 2*a - 2. What is the remainder when q(u) is divided by -3 + (-2 - 9*-2)?
11
Let s(m) = 22*m - 25. What is the remainder when 67 is divided by s(2)?
10
Suppose l - 12*z - 147 = -10*z, -l = 2*z - 143. Calculate the remainder when l is divided by 41.
22
Suppose -4*q + 13 = -11. Suppose q*y = y + 125. Suppose 4*t = y + 31. What is the remainder when 39 is divided by t?
11
Let l(t) = -2*t**2 - 79*t + 106. Calculate the remainder when l(-39) is divided by 22.
13
Suppose 0 = 4*v + 3*i - 0*i + 18, 0 = i - 2. What is the remainder when (117 - 1)*(-3)/v is divided by 20?
18
Let b(z) = 7*z - 3. Let j be b(1). Suppose 0 = j*w - 20, 2*v + 3*w + 160 = 7*v. What is the remainder when v is divided by 18?
17
Let x(c) = c + 6. Let t be x(-3). Suppose 8 = -t*u + u. Let n(d) = 2*d**2 - 2*d + 4. What is the remainder when n(u) is divided by 23?
21
Suppose -72*o + 1196 + 964 = 0. Calculate the remainder when 51 is divided by o.
21
Let l = 245 + -199. Calculate the remainder when 145 is divided by l.
7
Let h(o) = -2*o**2 + 1 + 7*o**2 + 2*o**2 + o**2. What is the remainder when 88 is divided by h(-1)?
7
Let h = -3 + 26. Suppose p + 3 + 20 = 0. Let u = -15 - p. Calculate the remainder when h is divided by u.
7
Suppose 3*n - 25 - 44 = 0. Calculate the remainder when 74 is divided by n.
5
Let w(j) be the second derivative of 7*j**4/12 + 4*j**3/3 + 7*j**2/2 + 10*j. What is the remainder when w(-3) is divided by 24?
22
Let b(n) = -n**3 + 25*n**2 + 55*n - 19. What is the remainder when 68 is divided by b(27)?
4
Suppose 4 = 4*u - 24. Let s = -6 - -5. Let a(p) = -27*p. What is the remainder when a(s) is divided by u?
6
Let o(w) = 5*w**2 - 2*w + 3. Suppose 161 + 56 = 2*r - t, r - t - 110 = 0. Calculate the remainder when r is divided by o(-2).
26
Suppose 3*l - 79 = -4*a, -32 - 63 = -5*a - 5*l. Suppose -18*x - 305 = -23*x - 5*o, -4 = 2*o. Calculate the remainder when x is divided by a.
19
Suppose -3*t - 19 = 5. What is the remainder when 126 is divided by (12/8*t)/((-6)/16)?
30
Suppose 0 = 35*a - 40*a - z + 73, 38 = 2*a - 4*z. Calculate the remainder when 278 is divided by a.
8
Suppose a - 2*x - 20 = 0, 3*a - 4*x - 70 = -2*a. Suppose -3*m + 6*m - 234 = 0. What is the remainder when m is divided by a?
8
Suppose -10*w = -6*w - 24. Suppose -w = -3*k, 2*k - 6*k - 7 = -f. What is the remainder when 104 is divided by f?
14
Let i(v) = v**3 - 3*v**2 + 3*v + 4. Calculate the remainder when i(4) is divided by (3 - 12)/(15 + -16).
5
Let p(z) = z**3 - 20*z**2 - z + 92. Calculate the remainder when 238 is divided by p(20).
22
Suppose -12*v = -14*v + 3*r + 191, 0 = -5*v - 5*r + 415. Calculate the remainder when 186 is divided by v.
10
Let t = 197 + -96. Suppose 0 = -4*w - 0*f - 3*f + 95, -4*w - f + t = 0. What is the remainder when w is divided by 7?
5
Suppose 2*v - 14 = -3*a - 1, 4*v = -4*a + 24. What is the remainder when 16 is divided by 32 - 22 - a*-2?
4
Suppose 90 = 4*q - 202. Suppose 4*c - q = -n, 3*n = 3*c + c - 69. What is the remainder when c is divided by 10?
8
Suppose 3*n + 480 = 5*n - 5*q, -4*n + 996 = -q. Calculate the remainder when n is divided by 63.
61
Let n(i) = -19*i + 420. What is the remainder when n(17) is divided by 14?
13
Suppose -217 - 215 = -8*a. Suppose 0 = -3*d - 0 + a. Calculate the remainder when 70 is divided by d.
16
Let a(d) = 4*d + 6. Suppose -5*f - 3*b - 2*b + 55 = 0, 0 = -2*f + 4*b - 8. Suppose -f = -5*g + 64. Calculate the remainder when a(5) is divided by g.
12
Suppose 0 = -2*a - 5*q + 189, 3*a + 3*q = 4*q + 292. Calculate the remainder when a is divided by 23.
5
Suppose 11*a = 819 - 82. Calculate the remainder when 267 is divided by a.
66
Let b = 1454 + -1416. Calculate the remainder when (1 + 1)*151/2 is divided by b.
37
Let j(r) = r**3 - 4*r**2 - 2*r + 5. Let i(q) = q - 9. Suppose -5*o = 3*z - 43, -o - 27 = -5*z + 54. What is the remainder when j(5) is divided by i(z)?
6
Let o = -670 + 692. Let c = -66 + 109. Calculate the remainder when c is divided by o.
21
Let o(u) = -u**3 - 4*u**2 - 9*u. Calculate the remainder when o(-5) is divided by 25.
20
Suppose -n + 6 = -2*t, -5*n - 3*t - 2*t = 0. Let y = 17 - n. What is the remainder when 41 is divided by y?
11
What is the remainder when 0 + (15/5 - -140) - -2 is divided by 22?
13
Suppose 5*c - 61 = -1. Let o(v) = -5*v**2 + 2*v + 2. Let r be o(-1). What is the remainder when r - -3 - 5/(5/(-48)) is divided by c?
10
Let x(a) = 2*a**2 - a - 4. Let c(z) = -z**2 + 2*z + 2. Let p be c(0). Suppose p*t + 6 = -t. What is the remainder when 16 is divided by x(t)?
4
Let g(d) = -201*d + 106*d + 115*d - 2*d**2 - 10. Calculate the remainder when g(8) is divided by 4.
2
Let b be 2 + (3 - 5) + -42. Let o = b + 60. Calculate the remainder when 70 is divided by o.
16
Suppose -3 = 3*g, 5*m = 4*g - 7*g + 7. Suppose -m*n - b = 2*b - 1, -3*b = n + 7. Calculate the remainder when 21 is divided by n.
5
Let y be (30 + 0/2)/(7/(-21)). Calculate the remainder when (6/9)/((-5)/y) is divided by 2.
0
Suppose -5*v - 2 = -22. Suppose -2*x = h - 74, v*h + 0*h - 23 = -x. Let m = 55 - x. Calculate the remainder when m is divided by 6.
4
Suppose -33*v - 399 = -498. Let z(w) = 5*w**2 + 2*w - 4. What is the remainder when z(-3) is divided by v?
2
Let s be 1 + (4 + (-16)/4)/1. Calculate the remainder when 13 is divided by 9*6/9 - s.
3