 8. Calculate the remainder when f is divided by 3.
0
Suppose p = 53 - 38. Let m(x) = x - 5. Let l be m(4). What is the remainder when p is divided by (-39)/(-5) - l/5?
7
Suppose 0 = 4*c - 9*c + 25. Suppose c*y - y = -216. Let q = y - -103. What is the remainder when q is divided by 13?
10
Suppose 2*f = 3*t - 39, -5*t = -0*f - 4*f - 67. Calculate the remainder when 38 is divided by t.
5
Let y(u) = 3*u + 157. Calculate the remainder when 239 is divided by y(-10).
112
Let p = -2136 + 2283. Calculate the remainder when p is divided by 1/(-2)*15*-4.
27
Let l = -12 + 19. Let q(o) = 19*o + 1. Let r be q(2). Suppose -3*z = -6*z + r. Calculate the remainder when z is divided by l.
6
What is the remainder when 139 is divided by 58/3*(-96)/(-64)?
23
Let q(b) = 112*b - 1. Let v = -803 - -841. Calculate the remainder when q(1) is divided by v.
35
Let k = 45 - 75. What is the remainder when 17/((-17)/k) + 4 is divided by 9?
7
Let l = -1015 - -1057. Let x(a) = 6*a - 1. What is the remainder when l is divided by x(2)?
9
Let o = 8 + -4. What is the remainder when 134 is divided by 17 - (o + -2) - 4/(-2)?
15
Suppose 2*c - 7*c = -260. Let y(x) = 4*x**2 + 9*x + 5. What is the remainder when c is divided by y(-3)?
10
Suppose -24*p + 55*p - 465 = 0. What is the remainder when 41 is divided by p?
11
Suppose -2*l + 9 = f - 14, -l - 92 = -4*f. Let c = 68 - 52. Suppose 2*h + 24 = 3*v - 3*h, v = -h + c. Calculate the remainder when f is divided by v.
10
Suppose -z = f - 221, 2*f = 4*z - 0*f - 866. Calculate the remainder when z is divided by 6.
2
Let s = 15 - 10. Let p = -317 - -349. What is the remainder when p is divided by s?
2
Suppose -q - 5*d - 15 = 0, -55 = -5*q - 0*q + d. Suppose -b + 3 = -1. Calculate the remainder when q is divided by b.
2
Let c = 28 - -25. Let i = -38 + c. Calculate the remainder when 72 is divided by i.
12
Suppose o - 460 = -3*o. Let t(k) = 4*k - 26. Let w be t(10). Let f = 15 + w. What is the remainder when o is divided by f?
28
Suppose -14*g + 4*t = -11*g - 78, -5*g + 95 = 5*t. Calculate the remainder when g is divided by 9.
4
Suppose -3*b = b. Let a be 0 + (0 - (-1 - 1)). Suppose b = -j - 5*m + 61, -4*j + 2*j + a*m = -62. What is the remainder when j is divided by 13?
10
Let m(x) = -3*x**2 + 4*x + 4. Let f be m(-3). Let y = f - -59. Let o = -8 + 17. What is the remainder when y is divided by o?
6
Let v(c) = -19*c - 156. What is the remainder when v(-10) is divided by 6?
4
Suppose 4*l - 182 = 226. Suppose 4*x + 3*h = 107, -h = -2*x + x + 25. Calculate the remainder when l is divided by x.
24
Suppose 5*y = p + 181, -4*y + 4*p = -6*y + 68. Let a = 89 - -52. Calculate the remainder when a is divided by y.
33
Suppose 317 = 20*i - 823. What is the remainder when 509 is divided by i?
53
Suppose -4*h = 4*n + 24, 4*h + 0*n + 5*n = -24. Calculate the remainder when 18 is divided by ((-3)/h)/(0 + (-3)/(-30)).
3
Let r(o) = -o**2 + 7*o + 14. Calculate the remainder when r(6) is divided by 5.
0
Let l(q) = 3*q**2 + 63*q + 217. What is the remainder when l(-19) is divided by 88?
15
Suppose 4*t - 3*k = -0*k - 7, -t - 10 = 2*k. What is the remainder when (t + 216)/4 + -1 is divided by 15?
7
Suppose 6*g = 3*g - 4*q + 930, -2*g + 620 = 2*q. Calculate the remainder when g is divided by 24.
22
Let p = -114 + 119. Let f(l) = l + 10. What is the remainder when f(7) is divided by p?
2
Suppose 2*d + 3*d - 4*q = 34, -d + 6 = -q. Suppose o = k - 4, -15 = -5*o + d. What is the remainder when k is divided by 3?
0
Let u(h) be the second derivative of h**4/12 - 2*h**2 - h. Let s(z) = z**3 - 6*z**2 - 6*z + 1. Calculate the remainder when s(7) is divided by u(3).
3
Let r(z) = 16*z**2 + 29*z - 11. Let j(m) = 3*m**2 + 6*m - 2. Let f(k) = 11*j(k) - 2*r(k). Let u = -59 + 62. Calculate the remainder when f(-9) is divided by u.
0
Let n = 4320 - 3074. What is the remainder when n is divided by 13?
11
Suppose m = 2*j - 494, 0 = m - 3*m. Calculate the remainder when j is divided by 48.
7
Calculate the remainder when 194 is divided by (49/(-21))/((-6)/72).
26
Let j = 826 - 809. What is the remainder when 641 is divided by j?
12
Suppose 0*p + 2*p - 18 = 0. Suppose 0*c + 5*l - 6 = -c, 0 = 4*l + 16. What is the remainder when c is divided by p/(-2)*(-2 + 0)?
8
Let v = -39 - -60. Calculate the remainder when (2/14 - (-5)/14)/((-15)/(-1110)) is divided by v.
16
Suppose b + 0 - 12 = 0. Let z(k) = k**3 - 7*k**2 - 9*k + 8. Let n be z(8). Suppose -d + 51 + 8 = n. What is the remainder when d is divided by b?
11
Let l = 2428 + -1039. Calculate the remainder when l is divided by 87.
84
Let j(x) = 41*x + 207. Suppose -4 = -4*r, -2*i - r + 3 = -0*r. Let b = i - 0. Calculate the remainder when j(-5) is divided by b.
0
Suppose 20*z - 36 = 18*z. Suppose -3*b + 6*b = z. What is the remainder when 21 is divided by b?
3
Let o(i) = 3*i + 55. Calculate the remainder when 986 is divided by o(7).
74
Let o(b) = 13*b + 15. Suppose 0 = -7*j - 43 + 253. Calculate the remainder when o(8) is divided by j.
29
Let a(v) = -18*v - 1. Let c(t) = 2 + 0*t**3 - 12*t**3 + 5*t**3 + 2 - 3*t**2. Calculate the remainder when c(-2) is divided by a(-1).
14
Let a(w) = w**2 + 102. Let i(s) = 15*s + 4. Let g be i(-2). Calculate the remainder when a(0) is divided by g*1*(1 + (-2)/1).
24
Let o(i) = -i**3 - 6*i**2 + 9*i + 12. Let j be o(-5). Let d = j + 68. Calculate the remainder when 69 is divided by d.
9
Let k = -736 + 1239. Calculate the remainder when k is divided by 39.
35
Let a(d) = -4*d**3 + 2*d**2 - 5*d + 5. Let g be a(3). Let t = 8 - g. What is the remainder when t is divided by 22?
20
Suppose -x - 5*p - 79 = -296, 0 = 4*x - 3*p - 983. What is the remainder when x is divided by 46?
12
Let x be 0*((-21)/(-14))/((-6)/(-4)). Suppose x = -7*b + 224 - 35. Calculate the remainder when b is divided by 45/6*8/6.
7
Let f(h) = 3*h + 35. What is the remainder when f(-6) is divided by ((-56)/(-12))/1*3?
3
Suppose 4*z = i - 139, 6*i - 8*i + 3*z + 283 = 0. Calculate the remainder when i is divided by 5.
3
Let y(n) = n**3 + 6*n**2 + 7*n + 12. Let j be y(-5). What is the remainder when (-2 - (-124 + (-6)/2)) + j is divided by 32?
31
Suppose -x = 7*x + 40. Let k(h) = 3*h**2 + 13*h + 4. What is the remainder when k(x) is divided by 5?
4
Calculate the remainder when (34/8)/((-5)/(-20)) is divided by (3/(3/(-2)))/((-31)/155).
7
Let a(d) = 2*d**2 - 9*d - 9. Suppose 0 = -12*s + 7*s + 35. Calculate the remainder when 74 is divided by a(s).
22
Let r be (4/4)/(1/(-2)). Let l(c) = -c**3 + 2*c**2 + 4*c + 3. What is the remainder when 7/(84/(-40))*(-96)/10 is divided by l(r)?
10
Suppose 2*b + 52 = 48, -2*k = -2*b - 32. Let s(y) = -y**2 - 5*y + 2. Let z be s(-6). Calculate the remainder when 237/6 - 2/z is divided by k.
12
Let r = -1750 - -2058. Calculate the remainder when r is divided by 62.
60
Suppose 18*p = 22*p - 3*q - 749, -3*q + 779 = 4*p. Calculate the remainder when p is divided by 50.
41
Let r(c) = -c**3 + 7*c**2 - 4*c + 1. Let j be r(6). Let g = 16 - j. Calculate the remainder when (-560)/(-30) + 1/g is divided by 7.
5
Suppose -3*f = -3*a - 6*f + 9, -5*a = 2*f - 18. Let z(p) = 5*p - a*p - p - 1 - 5*p. Calculate the remainder when z(-6) is divided by 11.
7
Suppose 3*h = -0*h - 24. Let q = -5 - h. What is the remainder when 6 - q - -1*9 is divided by 7?
5
Suppose 4*d - q - 35 - 32 = 0, 0 = 2*d + 2*q - 26. What is the remainder when 73 is divided by d?
9
Let x = 61 + -30. Let s(l) = -11 - 9*l**2 + 0*l + 0*l - l**3 + 2*l**3 - 3*l. What is the remainder when s(10) is divided by x?
28
Suppose 0 = 3*n + 5*i - 102, 3*i - 31 = -22. Calculate the remainder when n is divided by 16.
13
Suppose 3*b + g - 122 = 0, -32 = b + 5*g - 82. What is the remainder when b is divided by 14?
12
Suppose 0 = 3*j - 1378 - 2072. Calculate the remainder when j is divided by 24.
22
Suppose 4*u + 5*q - 34 = 0, -u + 3*u - 2 = 5*q. Suppose -h = 5*a - u*a, -a + 18 = 5*h. Suppose -2*i + i = -a. What is the remainder when i is divided by 2?
1
Suppose -3*n + 186 = -273. Let l = -96 + 109. Calculate the remainder when n is divided by l.
10
Let d(c) = c**3 + c**2 + c + 93. Let x be d(0). Let a = 108 - x. What is the remainder when 43 is divided by a?
13
Let a(u) = -u**3 - 6*u**2 - 6*u. Let t be a(-4). Calculate the remainder when (4/2)/((-6)/2256*t) is divided by 49.
45
Let