divided by s.
0
Let r = 1281 - 1267. Calculate the remainder when r is divided by (6 - 1)/1 - 1.
2
Suppose 22*y = 3*u + 27*y - 601, 4*u = 2*y + 836. What is the remainder when u is divided by 53?
48
Let w = -236 - -374. Calculate the remainder when w is divided by 73.
65
Let k be 1/(4 - 145/36). Let h = -27 - k. Suppose -5*v = -h*v + 124. What is the remainder when v is divided by 8?
7
Let q = 16 + 30. Suppose -52*j + 13*j = -19*j - 320. Calculate the remainder when q is divided by j.
14
Suppose -5*m - o + 71 = 0, m + 2*o + 0 - 16 = 0. Let d(v) = -v - 203. Let f be d(0). Let u = f + 243. What is the remainder when u is divided by m?
12
Suppose 54 = -0*r + 5*r - 4*m, -2*r = -3*m - 16. Let o = -75 + 100. What is the remainder when o is divided by r?
11
Let o = 8 + 37. Suppose 9*m - 63 = o. Calculate the remainder when 83 is divided by m.
11
Let h(w) = 3*w + 21. Let b be h(-9). Let y(k) = -k**3 - 5*k**2 + k + 5. Let c be y(b). Let r = -8 + c. What is the remainder when 51 is divided by r?
24
Suppose 11*p - 66 = 8*p. Suppose 4*g = -y - 73, -3*y + 13 = -g - 15. Let i = g - -27. Calculate the remainder when p is divided by i.
6
Let u = -19 + 57. Let t = u + 39. Calculate the remainder when t is divided by (-38 - -8)/(9/(-6)).
17
Let a(d) = 62*d**2 - 4*d + 1. Let b(j) = -185*j**2 + 11*j - 2. Let p(u) = -8*a(u) - 3*b(u). Calculate the remainder when p(-1) is divided by 10.
8
Suppose 2*h - 3*j - 107 = 0, -2*h + 2*j = -75 - 35. What is the remainder when 113 is divided by h?
55
Suppose 5*i = -8 + 63. Suppose -3*g - 4*x + 137 = 0, -2*g - 3*x + 55 + 37 = 0. Calculate the remainder when g is divided by i.
10
Let r = -883 + 1140. What is the remainder when r is divided by 11?
4
Let r be ((-2)/(-4))/(13/936). Let h = 32 + r. Calculate the remainder when h is divided by 14.
12
Suppose -2*t + 3 - 14 = -3*p, 5*t = -4*p + 7. Suppose 2*r = 3*c - 0*c + 8, 0 = p*r + 5*c - 12. What is the remainder when 14 is divided by r?
2
Suppose 2*g - 18*f + 14*f - 52 = 0, -g - 3*f = -1. Calculate the remainder when 252 is divided by g.
12
Suppose -20*v = -2108 - 1532. Calculate the remainder when v is divided by 37.
34
Suppose 12*j = 4*j + 5160. What is the remainder when j is divided by 36?
33
Suppose -3*s - 5*v + 339 = 61, 102 = s + 4*v. What is the remainder when s is divided by 20?
6
Suppose 0 = 2*x - 79 - 13. Suppose 112 = 4*r + 4*k, -2*k + 40 = 3*r - x. Calculate the remainder when 88 is divided by r.
28
Suppose -4*t = 3*y - 458, -5*t - 121 = 6*y - 7*y. What is the remainder when y is divided by 69?
8
Let k = 17 + 1. Suppose 5*d - 168 = -k. What is the remainder when 2 is divided by (-5)/2*(-24)/d?
0
Suppose a - 797 = -5*c, -300 = -a + 2*c + 525. Calculate the remainder when a is divided by 91.
89
Let g = 2 - -1. Suppose -39*x + 984 = -2058. Suppose -g*t + 0*t + x = 0. What is the remainder when t is divided by 15?
11
Suppose 2*q = 6*q - 112. Calculate the remainder when q is divided by 30/(6 + 28/(-4) - -3).
13
Suppose -16*v - 2*v + 468 = 0. Calculate the remainder when 37 is divided by v.
11
Let q = 1134 + -1106. What is the remainder when 232 is divided by q?
8
Let f be -1*2 + (-3)/(-3). Let z be (-27)/(-12) + f/4. Suppose z = -2*v + 26. What is the remainder when 21 is divided by v?
9
Suppose 3 + 13 = 4*c. Let y(d) = -d**3 + 7*d**2 - 5*d + 2. What is the remainder when y(4) is divided by 0/c + 6 + 2?
6
Let q = 84 - 80. Suppose q = -r + 10. What is the remainder when 21 is divided by r?
3
Let g(d) = -2*d**3 - d**2 + d + 7. Let r be g(3). Let m = r + 187. What is the remainder when m is divided by 34?
32
Suppose -2*j - 3*x = -26, 5*x - 28 = -2*j - 2. Let d = 14 - j. Calculate the remainder when 87 is divided by (-11)/(d/(-3 - -1)).
21
Let i(t) = 2*t + 17. Let u be i(-11). Let g = u + 6. What is the remainder when g is divided by (-18)/(-14) - 2/7?
0
Let y = -33 + 48. Calculate the remainder when ((-126)/27)/((-1)/6) is divided by y.
13
Let d = -282 - -296. Let w(t) = -5*t**2 - 9*t - 4. Let a(o) = 6*o**2 + 10*o + 4. Let k(n) = -4*a(n) - 5*w(n). What is the remainder when k(5) is divided by d?
12
Calculate the remainder when 103 is divided by -135*((-9)/27)/((-3)/(-3)).
13
Let y(z) = -z**2 + z + 21. Let r be -2 + -3 + 6 + 2. Suppose -r*b + 3*d + 111 = 0, -5*b - d + 120 + 89 = 0. What is the remainder when b is divided by y(0)?
20
Let h(a) be the third derivative of -1/5*a**5 + 1/120*a**6 - 11/24*a**4 + 0*a + 0 - 8/3*a**3 + 12*a**2. What is the remainder when 17 is divided by h(13)?
7
Let n = -249 + 318. Calculate the remainder when n is divided by 20.
9
Suppose 3*n - 5*k = 89, 2*k = -4*n + k + 134. Let o = n + -23. What is the remainder when (58*(-2 - -1))/(-2) is divided by o?
9
Let n(k) = 0 - 4 - 3 - 2*k + 2. Let t(l) = -3*l - 6. Let q(r) = 6*n(r) - 7*t(r). Calculate the remainder when q(6) is divided by 23.
20
What is the remainder when (-108)/(-378) + 3706/14 is divided by 14?
13
Suppose 0*i = 3*i - 150. Suppose -4*r - 5*s + 138 = 0, 15*r - 14*r = 4*s + 3. Calculate the remainder when i is divided by r.
23
What is the remainder when (3 + -2)/((-16)/(-672)) is divided by 14?
0
Let u be 43 + 2*4/(-2). Let a = -29 + u. Suppose 0*j + 57 = 3*j. Calculate the remainder when j is divided by a.
9
Suppose 4*b = 24 + 8. Suppose b*j - 234 = 14. What is the remainder when j is divided by ((-9)/(-6))/((-3)/(-16))?
7
Let o = 79 + -105. Let a = o - -32. Calculate the remainder when 21 is divided by a.
3
Let p(q) = -q + 16. Let a be p(9). Suppose -a - 59 = -3*u. Let z = u + -13. What is the remainder when z is divided by 6?
3
Let j = 18 + -13. Suppose j = q - 32. Let g = q - 18. What is the remainder when 55 is divided by g?
17
Let a = 69 - 7. Let l be ((-48)/(-12))/((-2)/a). Let c = 199 + l. Calculate the remainder when c is divided by 20.
15
Suppose -j - 1 = -7. Let q be (j/4)/((-14)/(-2128)). Suppose 5*s + q = 9*s. Calculate the remainder when s is divided by 20.
17
Suppose 2*r - 3*s + 46 = -2, 3*s = 12. Let y be (r/15)/((-4)/(-20)). What is the remainder when (35 - y/2) + 3 is divided by 11?
8
Let z = 37 + -39. What is the remainder when 57 is divided by -6*z/(4/5)?
12
Suppose 3 = -2*m + 5. Suppose t + m = -1. Let w(z) = 8*z**2 - 4*z - 4. Calculate the remainder when w(t) is divided by 19.
17
Suppose -3*l = -4*l + 33. Suppose -l = -d - 2*o + 5, 202 = 5*d + 4*o. Let b(s) = 15*s. Calculate the remainder when d is divided by b(1).
12
Suppose 2*p = 18 - 4. Let g = 8 + p. Suppose -3*i = -q + 5, 4*i + g = 3*q - 0*i. Calculate the remainder when 23 is divided by q.
3
What is the remainder when 4*2/(-4) + 19 is divided by (112/(-12))/(20/(-15))?
3
Let h(z) = -z**3 - 2*z - 3. Let t be h(-2). Suppose 4 = t*j - 392. What is the remainder when 263 is divided by j?
43
Suppose -204 = 2*j - 8*j. Suppose u = 4*u - 36. Calculate the remainder when j is divided by u.
10
Suppose -83 = -3*f - 493*v + 491*v, -4*f + v + 118 = 0. Suppose 2*x - 260 = 82. Calculate the remainder when x is divided by f.
26
Suppose 4*b - 336 = 3*y, 2*b + 2*y - 81 = 73. Calculate the remainder when b is divided by 21.
18
Let r(s) = -9*s + 2. Let a be r(-8). Let q = a + -52. Suppose -v = v - q. Calculate the remainder when 19 is divided by v.
8
Let t(b) = b**2 + 2*b + 10. Calculate the remainder when t(-3) is divided by 4.
1
Let n(i) = 8*i**2 - 87*i + 18. What is the remainder when n(12) is divided by 62?
2
What is the remainder when (4/(-6) - -2) + 894/18 is divided by 23?
5
Suppose 0 = r - 3*r. Let j = 86 + -81. Suppose -j*g + 8*b - 4*b + 36 = r, -2*b = -3*g + 22. What is the remainder when g is divided by 3?
2
Let x(z) = 36*z. Calculate the remainder when 135 is divided by x(1).
27
Let d(i) = 5*i**2 - 2*i + 2. Let f be d(-2). Suppose -5*a + 2*v = -66, 2*v - f + 8 = -2*a. Calculate the remainder when 46 is divided by a.
10
Suppose j + 16 - 96 = -5*a, 0 = -4*j. Suppose 0 = -4*o + a, 5 + 7 = m - 2*o. Calculate the remainder when 54 is divided by m.
14
Let s be ((-1)/(-2))/(4/(-40)). Calculate the remainder when 26 is divided by -1*(40/s + -1).
8
Let p(v) = -3*v**3 + 4*v**2 + 2*v + 3. Let m be p(-3). Suppose 0 = -6*s + 3*s + m. What is the remainder when s is divided by 8 - 5 - -5*2?
12
Let t(i) = 42*i**2 + 26*i - 13. What is the remainder when t(2) is divided by 15?
12
Suppose 5*y - 2*y + 45 = -5*k, y + 7 = -k. What is 