8.
17
Suppose 5*f + w + 155 = 42, -4*w = -8. Let k = f - -65. What is the remainder when k is divided by 11?
9
Let n(v) = -3*v. Suppose f = -0 - 5. Let r be 22/(-3) + f/(-15). What is the remainder when n(r) is divided by 11?
10
Let t = -26 + 32. Let a = t + 3. Suppose 4*l = -a + 33. Calculate the remainder when l is divided by 2.
0
Let g(n) = -16*n - 1. Let d be g(-1). Let h = 1 + d. Let x = -5 - -11. What is the remainder when h is divided by x?
4
Suppose 5*y - 50 = -5*h - 0*y, -3*h + 2*y + 30 = 0. Let p = 171 + -113. Calculate the remainder when p is divided by h.
8
Let k be 4/2 - (3 - -93). Let w = k - -158. Calculate the remainder when w is divided by 13.
12
Let i(x) = x**3 + 43*x + 30. Calculate the remainder when 107 is divided by i(0).
17
Let o(s) = -2*s - 4. Let k be o(-4). Suppose -12 = 4*y, y + 0*y = -k*v + 17. Let w = -79 + 91. What is the remainder when w is divided by v?
2
Let q(f) be the third derivative of f**5/60 - 3*f**4/8 + 2*f**3 + 6*f**2. What is the remainder when q(8) is divided by 2?
0
Let w = -2696 - -2697. Let j be (4/6)/(2/3). Calculate the remainder when w is divided by (0 - j)*1*-1.
0
Suppose 0 = 45*p - 68*p + 1748. Calculate the remainder when p is divided by 7.
6
Let n = -19 - -42. Suppose 5*p = -n - 97. Calculate the remainder when 1 is divided by (36/p)/(3/(-2)).
0
Let f = 127 + 232. What is the remainder when f is divided by 60?
59
Let y be 2*(-32)/(-24) - 2/(-6). Suppose 0 = 3*r - 6, -c - y*r + 26 = -10. Calculate the remainder when 148 is divided by c.
28
Suppose 4*b = b - 18. Calculate the remainder when 65 is divided by (b/9)/(-3 - 97/(-33)).
10
Suppose 0 = 2*z + 8, -z = -2*o + 184 + 34. Calculate the remainder when 315 is divided by o.
101
What is the remainder when ((-10)/4)/((-43)/2150) is divided by 19?
11
Let o(b) = 49*b - 128. Calculate the remainder when o(7) is divided by 54.
53
Let y = 45 - 26. Suppose -4*j = -q - 63, -5*j = -3*q + 4*q - 90. Suppose -3*o = 2*z - j - 5, -z + 11 = 4*o. What is the remainder when y is divided by z?
8
Let t = 47 - 42. Calculate the remainder when t is divided by 1.
0
What is the remainder when 313 is divided by 94 - (-6 + 9) - -11?
7
Suppose 2*t = -0*z - z + 31, 4*z - 3*t = 80. What is the remainder when 1009 is divided by z?
20
Suppose -2*z + 0*z = -0*z. Suppose 5*s - 6*q - 240 = -q, z = 5*s - q - 220. What is the remainder when 83 is divided by s?
40
Suppose -95*a + 6160 = -51*a. Calculate the remainder when a is divided by ((-3)/2)/((-1)/12).
14
Let q = 1733 + -1672. Suppose -5*f + 0*f = -80. Calculate the remainder when q is divided by f.
13
Suppose 30 = -4*i + 94. Calculate the remainder when 47 is divided by i - -1 - 52/13.
8
Let i = -133 - -139. Suppose 32 = i*y - 826. What is the remainder when y is divided by 30?
23
Suppose -3*a - 2*f = -334, 2*a + 566 = 7*a + f. Calculate the remainder when a is divided by 23.
22
Suppose 129*h - 123*h - 2946 = 0. What is the remainder when h is divided by 99?
95
Let x(m) = -m + 18. Let n(c) = -c**2 - 5*c - 1. Let s be n(-4). Suppose j = s*j - 52. Calculate the remainder when j is divided by x(9).
8
Suppose -c = -i + 5, 5*c + 15 = -30*i + 33*i. Let x = 0 - -3. Suppose 34 = -z + x*z. What is the remainder when z is divided by i?
2
Suppose 3*x + 3*b = 4*x - 99, -b = 5*x - 463. What is the remainder when 365 is divided by x?
86
Let d = 196 + -195. Calculate the remainder when 8 is divided by d.
0
Suppose 0 = 7*p - 3*p - 172. Let f(d) = -d - 4. Let u be f(-4). Suppose u = -5*z - 5*g + 95, 6 = 2*g - 2. What is the remainder when p is divided by z?
13
Let y(l) = -5*l**3 - 7*l**2 + l + 9. Let p = 7 + -1. Let m(j) = j**3 - j - 1. Let f(k) = p*m(k) + y(k). What is the remainder when 105 is divided by f(8)?
24
Let k be 0 + (5 - (-12)/(-4)). Suppose -x + 6*x - 3*p + 6 = 0, 3*x - k*p = -3. Calculate the remainder when 9 is divided by -9*(-3)/9 - x.
3
What is the remainder when (-28)/((96/(-18))/8) - -3 is divided by 7?
3
Let h(o) = o**2 - o - 7. Calculate the remainder when -3*152/(-12) + -2 is divided by h(5).
10
Let f = -13 + 11. Let y(n) = -19*n**3 - 2*n**2 + 4*n + 5. Calculate the remainder when y(f) is divided by 36.
33
Suppose 4*f - 68 = -0*f. Let k = -121 - -168. What is the remainder when k is divided by f?
13
Suppose -7*z - 20*z + 216 = 0. Calculate the remainder when 719 is divided by z.
7
Let d = 17 + -18. Calculate the remainder when 0 - (-1 + d + -5) is divided by 3.
1
Let p be (-300)/(-38) - (-6)/57. Suppose 3*b - p = 3*a + 10, -5*b - a + 54 = 0. What is the remainder when 4*b + -1 - -1 is divided by 21?
19
What is the remainder when -9 + (-4)/(28/(-3843)) is divided by 68?
64
Let k = -89 - -165. What is the remainder when k is divided by 103/4 + (-27)/(-108)?
24
Suppose 0 = 45*r - 697 - 158. What is the remainder when 1041 is divided by r?
15
Let f be (2 + -2)*(-1)/1. Suppose -4 = -y - n, -59 = -5*y + 2*n - 11. Suppose -g + 11 + y = f. What is the remainder when 56 is divided by g?
18
Let a = 17 - 24. Let f be 14/(-4)*20/a. Let g = -7 + f. What is the remainder when 9 is divided by g?
0
Let j = -22 - -47. Suppose -2*l + 15 + j = -2*k, -2*l + 5 = 5*k. What is the remainder when 72 is divided by l?
12
Suppose 4*p = z + 113, 5*p - 4*z = -z + 136. Calculate the remainder when 89 is divided by p.
2
Let l(s) = 2*s**2 - 10*s + 16. Calculate the remainder when 27 is divided by l(4).
3
What is the remainder when 32 is divided by (-2)/(-8) + 1107/164?
4
Let q be (-40)/8*(-3)/(-5). Let z be 2/q + 172/6. Suppose -g + z = g. What is the remainder when 39 is divided by g?
11
Let k be 5/((-10)/152)*(0 - -2). Let c = k - -309. What is the remainder when c is divided by 40?
37
Suppose 46*t + 96 = 47*t + 2*g, -232 = -2*t + 4*g. What is the remainder when t is divided by 9?
7
Suppose 0 = -5*g + 5, -4*a + 277 + 132 = -3*g. What is the remainder when a is divided by 28?
19
Suppose -11*h = -13*h - 4. Let y be h/4 - (-99)/2. Let j = y - 22. Calculate the remainder when j is divided by 10.
7
Let d(o) = o**3 + 2*o**2 - 5*o + 6. Let z be d(-3). Suppose 3*y = z*y - 1107. What is the remainder when y is divided by 33?
24
Let n(i) = i**3 - 2*i**2 + 2*i. Let y be n(2). Suppose y*g = g. Suppose g = -4*x - 0*x + 20. Calculate the remainder when 14 is divided by x.
4
Suppose 6*a - a - 77 = 3*o, -a + 2*o = -14. Let j = a + -9. What is the remainder when 13 is divided by j?
6
Let g(n) = 55 + n - 4*n**2 + 5*n**2 + 0*n**2. Let v be 0/(1/(3/6)). What is the remainder when g(v) is divided by 19?
17
Let c(y) = 6*y**2 + y - 1. Let n be (10/40)/((-1)/4). What is the remainder when c(n) is divided by 2?
0
Let b(f) = -f**2 - 13*f - 9. Let u be -8 + 4 + (-1 - -3). What is the remainder when 11 + 4/2 + u is divided by b(-12)?
2
Let y = 691 - 386. Calculate the remainder when y is divided by 28.
25
Suppose -6*z = -6 - 18. Suppose -8 = -z*o - 0. Suppose -170 = -4*b + d, 2*d + 84 = o*b + d. Calculate the remainder when b is divided by 15.
13
Let h be (-318)/4 + (-16)/32. Let s = 127 + h. Calculate the remainder when s is divided by 25.
22
Let i = 142 - 116. Suppose q + 1 = 2*d, 2*d = -2*q - d + i. What is the remainder when 21 is divided by q?
0
Calculate the remainder when 28 is divided by 4 - (210/(-27) + 24/(-108)).
4
Let r(t) = 5*t + 3. Suppose 2 = -m + 9. What is the remainder when r(m) is divided by (5/10)/(3/78)?
12
Let y = 1 + -1. Suppose y = -2*m + 2 + 8. Suppose -44 - 6 = -m*d. Calculate the remainder when 37 is divided by d.
7
Suppose 4*t = 10*t - 6. Suppose -11 = -5*d - t. Calculate the remainder when 4 is divided by d.
0
Let r = -186 + 84. Let f = r - -166. Calculate the remainder when f is divided by 34.
30
Let k(s) = s**3 + 9*s**2 + 8*s + 8. Suppose -3*v = w + 5, w - 3*v = 5*w + 29. Let r be k(w). Let z = -6 + r. Calculate the remainder when 3 is divided by z.
1
Let x be 10380/108 - 2/18. Suppose 0 = 9*p - 5*p - x. Calculate the remainder when p is divided by 7.
3
Let j(p) = p**3 + 30*p**2 + 37*p + 37. What is the remainder when j(-28) is divided by 26?
23
Suppose 10*c = 2*c - 1920. What is the remainder when (-6)/(-4)*c/(-18) + 1 is divided by 8?
5
Suppose 10*b = 8*b + 38. Suppose -b = -3*p + 11. Suppose 5*g - p = -3*f, -g = -3*g - 2. What is the remainder when 14 is divided by f?
4
Suppose 26 = 2*s - 30. Suppose -f = 16 + 14. What is the remainder w