 0, 0 = -z + 1 + 1. Suppose -r = 17 - n. Calculate the remainder when r is divided by 8.
5
Suppose 47*z - 6*z = 1804. Calculate the remainder when z is divided by 20.
4
Let k = -131 - -205. What is the remainder when k is divided by 30?
14
Suppose 5*z = -4*c + 234, -5*z - 5*c = -0*z - 230. Let d = -2366 - -2379. Calculate the remainder when z is divided by d.
11
Let c(z) = 80*z + 324. Calculate the remainder when c(0) is divided by 155.
14
Let a(b) = -b**3 - 5*b**2 - 5*b + 1. Let q be a(-4). Suppose 729 = q*t + 4*t. Calculate the remainder when t is divided by 28.
25
Suppose 4*i - 2464 = -3*s, -17*i = -13*i - s - 2448. Calculate the remainder when i is divided by 56.
53
Let v = -13 + 39. Let o = 82 + 88. Let b = o - 95. What is the remainder when b is divided by v?
23
Suppose 52*l - 59*l + 161 = 0. What is the remainder when 64 is divided by l?
18
Let a be (-8)/12*(-6)/8*6. Suppose 0 = 4*k - a*k - 12. What is the remainder when 21 is divided by k?
9
Suppose -y = -5*y + 12. Suppose -20*h - 774 = -2894. Suppose y*f + 13 = h. What is the remainder when f is divided by 17?
14
Let k(o) = 2*o**3 - 11*o**2 - 5*o - 6. Let q be k(6). Suppose -725 = -5*s + 5*g, -3*s = -q*s + 4*g - 449. Calculate the remainder when s is divided by 37.
36
Let x = 4 - -1. Suppose 3*d - 3*u = -u + 6, 9 = d - 3*u. Suppose -4*s - 14 = -g - 65, s + g - 19 = d. Calculate the remainder when s is divided by x.
4
Let d(q) = -q + 2. Let v be d(-4). Suppose n - v = -3. Calculate the remainder when 29 - (n - 4) - -2 is divided by 11.
10
Let z(b) = 2*b + 111. Calculate the remainder when 143 is divided by z(-23).
13
Let l be (3 - 3) + (-4 - -2). Calculate the remainder when 90 is divided by (-89)/l + 3 - (-2)/(-4).
43
Suppose 2*o - 21*i = -18*i + 858, 4*i = 5*o - 2131. What is the remainder when o is divided by 17?
15
Suppose -43 = -36*a + 461. Calculate the remainder when 94 is divided by a.
10
Let t = -621 - -632. What is the remainder when 28 is divided by t?
6
Suppose -4*w + 8*w - 68 = 0. Suppose -3*k = -15, -t + 27 = 4*k - w. Calculate the remainder when t is divided by 13.
11
Suppose 2*p - 48 = -p. Suppose -3*g = -310 - 173. Suppose 5*r - g = 64. Calculate the remainder when r is divided by p.
13
Let u(a) = a**3 - 27*a**2 - 27*a - 28. Let o be u(28). Suppose 273*d - 274*d + 7 = o. Calculate the remainder when 24 is divided by d.
3
Suppose 18*t - 2257 = -19*t. Calculate the remainder when t is divided by 12.
1
Suppose 0 = -5*l, r = 2*l - 4*l - 64. Let z = -30 - r. Let g = z + -19. Calculate the remainder when 29 is divided by g.
14
Let o(j) = 2*j**2 + 5*j - 7. Suppose -3*b + 6*b = 0. Suppose 5*l - 5*m - 130 = b, 4*m + 0 = -12. What is the remainder when o(5) is divided by l?
22
Let r(q) = -q**3 + q**2 - 2*q + 14. What is the remainder when 39 is divided by r(0)?
11
Suppose -50 = -10*x + 10. Suppose 34 = 3*i - 14. Calculate the remainder when i is divided by x.
4
Suppose -15 = -5*v + 2*v. Let u = 1 - v. What is the remainder when 38 is divided by ((-4)/(u/(-13)))/(-1)?
12
Let x(p) = -p**3 - 13*p**2 + 11*p - 6. Let g be x(-14). Let r = g + -20. Calculate the remainder when r is divided by 10.
6
Suppose 0 = -t - 2*r + 209, -16*t + 13*t + 671 = -5*r. What is the remainder when t is divided by 109?
108
Let o be (-4)/(-2) + (-3)/4*-4. What is the remainder when ((-387)/45)/((-1)/o) is divided by 5?
3
Suppose 3*h + 3*t = 7*h - 327, 423 = 5*h + t. Suppose 0 = -5*l - 2*j + h + 119, 0 = 2*l - j - 83. Calculate the remainder when l is divided by 14.
13
Let d(w) = -5*w - 2. Let h be d(-1). Suppose 2 = j + 4, -4*j + 4 = h*k. Suppose 3*s = -k + 67. Calculate the remainder when 41 is divided by s.
20
Suppose 2*k - 3*h + 32 = 208, -5*k = -h - 427. Calculate the remainder when k is divided by 43.
42
Let l be 6/(-9) + (-1158)/(-9). Let w = l + -89. Suppose 0 = 3*u - i - 28, -2*i - 6 = -u - 0*i. Calculate the remainder when w is divided by u.
9
Let m = 58 - 19. What is the remainder when -1*8/(-12)*m is divided by 7?
5
Let q(c) = -4*c + 94. Calculate the remainder when 255 is divided by q(22).
3
Suppose -2*m - 4*b = -320 - 526, -2*b + 4 = 0. Calculate the remainder when m is divided by 14.
13
Let c(r) = 2*r - 1. Let b(y) = -5*y + 22. Let n(x) = -b(x) - 5*c(x). Calculate the remainder when 48 is divided by n(-6).
9
Suppose -h + 28 = 5*b - 0*h, 4*h = 2*b + 2. Suppose 5*z + 102 = 2*s, -3*s + b*z = 64 - 212. Calculate the remainder when s is divided by 16.
14
Suppose -5*f + 135 + 25 = 0. Let b be f/(4/1) - 0. Calculate the remainder when 82/b + (-6)/(-8) is divided by 4.
3
Suppose -18*t + 63 = -15*t. Suppose x = -i + 1, -3*i + 4*x + 36 = -2. Calculate the remainder when t is divided by i.
3
Suppose -2*h + 11 = 3. Calculate the remainder when 2 - (-20)/(-4 + 9) is divided by (-4 + 12)*2/h.
2
Suppose -28*x - 15*x - 780 = -58*x. Suppose 2*g = 2*a + 37 - 339, -759 = -5*a + 4*g. What is the remainder when a is divided by x?
51
Let m(v) = v**3 + 6*v**2 + 2*v - 6. Suppose 4*t = 20, -4*t + 10 = -4*q - 2*t. Suppose q = b + 7 - 2. What is the remainder when 14 is divided by m(b)?
5
Let g(n) = 14*n**2 + 81*n - 1. Calculate the remainder when 34 is divided by g(-6).
0
Suppose 34*l = -756 + 2796. What is the remainder when l is divided by 35?
25
Suppose -6*g = -25 - 11. Let a = 27 + -18. Calculate the remainder when a is divided by g.
3
Suppose 0*l = 2*l + y + 3, 4*l - 4*y - 24 = 0. Let i be ((-2)/4)/(l/(-4)). Let p = i + 1. What is the remainder when p is divided by 1?
0
Let i(v) = v + 2. Let f be i(0). Suppose 15 = b - f. What is the remainder when b is divided by 7?
3
Let y = -52 + 46. What is the remainder when 0 - (-1 - -57)/(-2) is divided by ((-20)/y)/((-4)/(-18)) + 0?
13
Let z = 46 + -44. Suppose 5*v = 2*h - 149, z*h - v - 62 - 75 = 0. Let m(b) = b**3 - 4*b**2 - 9*b + 5. Calculate the remainder when h is divided by m(6).
21
Let c(i) = 3*i**2 - i - 1. Suppose -3*a - 4*u - u + 11 = 0, -3*a - 2*u - 1 = 0. What is the remainder when ((-226)/4)/(3/(-6)) is divided by c(a)?
26
Let l(u) = -84*u + 242. Calculate the remainder when l(-23) is divided by 87.
86
Let o = 40 + 22. Let a = o + -42. Calculate the remainder when ((-8)/(-12))/((-6)/(-531)) is divided by a.
19
Let i(b) = 3*b - 5. Let t be i(4). Let o be 5700/84 + 1/t. Suppose o = 4*u - 0*u. What is the remainder when 48 is divided by u?
14
What is the remainder when 181 is divided by (8/(-24))/((-174)/171 - -1)?
10
Let t = 2 + -2. Suppose 8*j - 48 = 6*j. Suppose t*s - 4*s + 5*i + j = 0, 4*s - 52 = -2*i. Calculate the remainder when 30 is divided by s.
8
Let k(j) = 2*j**2 + 8*j + 5. Let r be k(7). Suppose -4*h = 5*u + r, -4*h - 2*u = -0*u + 150. Calculate the remainder when (h/54)/((-2)/39) is divided by 3.
1
Suppose -530 = -4*h - 2*t, -h - 2*h + t + 410 = 0. What is the remainder when h is divided by 36?
27
Suppose -3*a + 3*g + 75 = 0, 2*g + 103 = 5*a - 25. Let o be 1 - (-1)/((-3)/(-18)). Suppose 2*l = l + o. What is the remainder when a is divided by l?
5
Let d(y) = 22*y + 17. Calculate the remainder when 29 is divided by d(0).
12
Let k be (0/(-7 + 4))/1. Suppose -4*r + 11 + 9 = k. Suppose 5*p - 7 - 18 = 0. Calculate the remainder when p is divided by r.
0
Suppose 4 = -k + 66. Let b = k - 22. Suppose 0 = 4*p + 4*f - b, f = -4*p + 5*f + 16. What is the remainder when 11 is divided by p?
4
Let i be (4/(-6))/(16/(-24)). Calculate the remainder when 16/i*(-2)/(-4) is divided by 2.
0
Suppose 0 = -15*p + 13*p + 82. Calculate the remainder when 64 is divided by p.
23
Suppose -50 + 92 = 3*q. What is the remainder when q is divided by 4?
2
Let f = 342 + -305. Let g = -18 + 31. What is the remainder when f is divided by g?
11
Let u(y) = -39*y - 101. What is the remainder when 191 is divided by u(-3)?
15
Suppose -3*f - 271 = -2*w, -w + f + 56 = -80. What is the remainder when w is divided by 42?
11
Let k = 39 - 34. Suppose k = j + b, 8 = j + 2*b + 2*b. Let f(y) = -y + 6. Calculate the remainder when j is divided by f(3).
1
Let p(b) = -3*b**2 - b - 5. Let c be p(-2). Let h = -3 - c. What is the remainder when 33 is divided by h?
9
Let j = -1789 - -4819. Calculate the remainder when 75 is divided by (-2)/(-16) - j/(-80).
37
Suppose -5*g + 9 = -4*m, 2*m - 3*g + g = -4. What is the remainder when (2*12 - 2)/2 is divided by (-1)/((-1)/(-7)*m)?
4
What is the remainder w