s the remainder when (-76272)/(-252)*1/2*(5 + 1) is divided by 69?
11
Suppose 1034 = 4*j + 2*m, 4*j - 467 = -5*m + 570. What is the remainder when j is divided by 13?
11
Let k = 30436 - 26772. What is the remainder when k is divided by 6?
4
Let s = -4957 + 4966. Let w = -120 - -207. What is the remainder when w is divided by s?
6
Let f be ((-3375)/(-100))/((-3)/(-8)). Suppose 94*a = f*a + 60. What is the remainder when 89 is divided by a?
14
Let b(i) = 5*i - 3. Suppose -4*o + 4*l = -2*o, 0 = -5*o - 2*l + 12. Calculate the remainder when b(o) is divided by (-30)/(-40) + 9/4.
1
Suppose -33 = -3*r - 63. Let g be (2 - r/(-3))/(26/(-2769)). Let q = -97 + g. What is the remainder when 223 is divided by q?
43
Suppose -5*d = -6*d + u + 3, -5*d = 5*u - 65. Suppose 0 = 2*j + 2*p - 20, -2*p + 19 = 5*j - 16. Calculate the remainder when -4 + d/(24/69) is divided by j.
4
Let v(k) = -k**3 + 5*k**2 - 3*k + 14. Let t be v(5). What is the remainder when (-150)/(-2)*t*3/(-1) is divided by -2 - (39*-1 - 1)?
35
Suppose 5*s - 2219 = -4*k, 2*k - 397 = s - 852. Calculate the remainder when s is divided by 112.
111
Suppose 0 = 5*k + 2*a - 32, 4*k + 17*a - 20 = 21*a. Suppose -3*b + 106 = -m, 6*m + 177 = 5*b + 4*m. Calculate the remainder when b is divided by k.
5
Let z(r) = -r**2 + 22*r - 16. Let m be z(21). Suppose -5*f = 2*u - 43, -m*f + 36 = -3*u - 12. Calculate the remainder when 104 is divided by f.
5
Let a(v) = 94*v**3 - 2*v**2 - 3*v + 4. Let g be a(1). Let k = 41 - g. Let d = k + 77. Calculate the remainder when 97 is divided by d.
22
Let z(o) = o**2 + o. Let y(h) = -8*h**2 - 4*h + 41. Let k(c) = -y(c) - 3*z(c). Calculate the remainder when k(8) is divided by 32.
31
Let y be 1/(1 + 4/(-3)). Let v = 61 + -35. Let j = v + y. Calculate the remainder when 112 is divided by j.
20
Let b = -78 + 112. Calculate the remainder when 12 is divided by (-187)/b*(-2 + 0).
1
Suppose 4*k + 221 = -z, 7*z - 108 = 2*k + 5*z. Calculate the remainder when (-165)/6*44/k is divided by 13.
9
Suppose -331 = -131*v + 1110. Calculate the remainder when 2349 is divided by v.
6
Let a = -339 - -320. Let u(o) = o**2 + 20*o + 50. Calculate the remainder when 86 is divided by u(a).
24
Let c(r) = 2*r**2 + 52*r + 4. Let n be c(-26). Suppose -3*w + 8*a = 4*a - 173, 4*w - n*a = 228. What is the remainder when w is divided by 25?
5
What is the remainder when (-16)/20 - 15717/(-65) is divided by 50?
41
Suppose -3*o - 25 = v - 70, 30 = 2*o + 5*v. Suppose 0 = 4*w + 1 + o, 4*g - w = 148. Let p = 45 - 26. What is the remainder when g is divided by p?
17
Suppose -616 = 184*n - 177*n. Let j = -53 - n. What is the remainder when 173 is divided by j?
33
Let g(z) = 8*z + 10*z - 13*z + 17. Let k be g(-4). What is the remainder when (-1)/(k*3/198) is divided by 4?
2
Suppose -3*q + q + 5 = t, -5*t = -25. Calculate the remainder when (-10)/(-15) - (-2)/6 is divided by (q - (-2)/8)*(9 + -5).
0
Let y = 13975 - 13863. Calculate the remainder when 331 is divided by y.
107
Let t be (0 - -795)/(9 - 168/20). Suppose 35*p - 30*p = t. What is the remainder when p is divided by 15?
10
Suppose 3*q + 22 = 8*q + 4*t, -3 = -3*q + t. Let p(r) = 1 - 4*r + 9 + 24*r. Calculate the remainder when p(q) is divided by 17.
16
Let y(h) = -2*h**3 + 29*h**2 - 42*h + 9. What is the remainder when y(7) is divided by 24?
18
Calculate the remainder when 30/(-25)*(-6 - 17479/21) is divided by 48.
46
Let o = -65 + 98. Let h be (285/45)/(4/(-324)). Let s = h - -741. Calculate the remainder when s is divided by o.
30
Let r be (-2 - -4)*((-36)/(-8))/3. Suppose 4*u + 172 = 900. Suppose t = -2*b + 45, -u = -r*t - 4*b - 41. What is the remainder when t is divided by 13?
12
Suppose 114*y = -18566 + 32347 + 39115. What is the remainder when 479 is divided by y?
15
Let n be 1*4 + (4 - -5508) + 1. What is the remainder when (-8)/44 - n/(-33) is divided by 17?
14
Suppose 3*r = -161*r + 49248 + 120656. Calculate the remainder when r is divided by 334.
34
Suppose 1 - 6 = 5*n + 5*o, -4*o - 14 = -n. Suppose -5*s - 25 = 0, n*s = 5*b + 3*s - 430. Calculate the remainder when b is divided by 48.
39
Suppose 25*x + 2*f = 24*x + 58, 173 = 3*x + 5*f. What is the remainder when 4311 is divided by x?
55
Let b(i) = -20*i + 3601. What is the remainder when 4793 is divided by b(178)?
37
Let q(v) = 2*v**3 - 14*v**2 + 26*v + 13. Calculate the remainder when 9115 is divided by q(5).
42
Suppose -2*h - 5*o + 5 = 0, -4*h + 3*o = 6 - 3. Suppose c + x - 37 = -4*x, h = 3*c - 4*x - 35. What is the remainder when 83 is divided by c?
15
What is the remainder when ((-33472)/(-14))/((-14)/(-49)) is divided by 28?
24
Suppose 3*g - 5*k - 2791 = 0, 4*g - 70*k + 66*k = 3740. Calculate the remainder when g is divided by 471.
0
Let h(q) = 15*q**3 - q**2 + 21*q - 20. Let u be h(1). Suppose -u*k = 2*k - 153. What is the remainder when 132 is divided by k?
6
Let z = 761 + -705. What is the remainder when 227 is divided by 24/z + (-1500)/(-28)?
11
Suppose 29 = m - 4*t, -61 = 228*m - 233*m - t. Let r = -2 - -8. Calculate the remainder when m is divided by r.
1
Suppose 6*a - 72 = 7*u - 9*u, -2*a = -5*u + 95. Let c(m) = -m + 23. Calculate the remainder when u is divided by c(14).
3
Let n = -24 - 3. Let w(s) = -49*s - 112. Let o be w(-4). Let k = o + n. Calculate the remainder when k is divided by 15.
12
Suppose 5*f + z + 85 = 790, 11*f - 1551 = -3*z. Calculate the remainder when 3793 is divided by f.
127
Suppose -7*m = -1601 + 145. Calculate the remainder when m is divided by 19.
18
Suppose 0 = -2*i + 132 + 88. Suppose 0*g - 10*g - 60 = 0. Let h(x) = -2*x**2 - 17*x - 16. Calculate the remainder when i is divided by h(g).
12
Let y = 19 - 9. Suppose -4*h - y = -86. Let o = 30 + 5. Calculate the remainder when o is divided by h.
16
Calculate the remainder when (-208 - -226) + 1*-4 is divided by 4.
2
Suppose -4*x = 12, 5*x - 63 = -t + 22. Suppose 8*g + t = 284. What is the remainder when 107 is divided by g?
15
Calculate the remainder when (-3)/(-30)*-4 + (-4912)/(-80) is divided by 0 - (-26 - (4 - 8)).
17
Suppose -5*d + 119 = 34. Suppose -276700*n + 405 = -276655*n. Calculate the remainder when d is divided by n.
8
Let x(d) = 2*d - 8. Let w be x(8). Suppose -w*l + 140 = -3*l. Suppose -2*b + 5*n + 7 = 0, -4*b - 3*n = -12 - 15. What is the remainder when l is divided by b?
4
Suppose 0 = -4*j + 154 + 22. Let q = j - -6. What is the remainder when 149 is divided by q?
49
Let f be ((-4)/(-6))/(1/(-3)). Let o(v) = 205*v + 824. Calculate the remainder when (-2 - (-14)/(-4))*f is divided by o(-4).
3
Let k(n) = -n**3 + 21*n**2 - 39*n + 59. Let i(h) = 27*h**2 - 6*h - 2. What is the remainder when k(19) is divided by i(1)?
2
Let o = 606 + -609. Let y be ((-2)/(-6))/((-3)/45). What is the remainder when 49 + (-12)/(-10)*y/o is divided by 9?
6
Let s(n) = 2*n**2 - 33*n - 84. What is the remainder when 262 is divided by s(19)?
9
Let z(b) = 2*b**2 + 10*b + 35. Let l(c) = 5*c**3 - 2*c**2 - 10*c - 8. Let f be l(-1). Calculate the remainder when z(f) is divided by 13.
9
Let b be (18/(-8))/((-2)/(-24)). Calculate the remainder when (-399)/b + 22/99 is divided by 6.
3
Suppose -82*g + 192 = 14*g. Let j = -2 - -6. What is the remainder when 76 is divided by -2*(g/j)/((-11)/143)?
11
Calculate the remainder when ((-6)/5)/((-3)/200) is divided by (27/(-2) - -4)/(13/(-26)).
4
Suppose -4 = -4*d, 8*v = 6*v + 5*d + 3. Suppose -2*f = -5*i - 30, v*f = -2*i + i + 60. Calculate the remainder when 161 is divided by f.
11
Let v = -21183 + 11319. Calculate the remainder when ((-4)/22)/(-1) + v/(-198) is divided by 28.
22
Suppose 0 = -21*k - 0*k + 15582. What is the remainder when k is divided by 68?
62
Let u(p) = p**3 + 11*p**2 - 5*p - 68. Let q be u(-11). Let n(b) = 3*b**2 + 17*b - 23. What is the remainder when n(q) is divided by 24?
23
Suppose 4*z = 4*i + 14 + 82, -z = -4*i - 39. What is the remainder when 75 is divided by z?
18
Suppose -3*q + 123 = -5*w - 94, -3*q + 167 = 5*w. What is the remainder when 3646 is divided by q?
62
Let i = -2224 - -2281. Suppose -4*j = j - 15. Suppose -j*b = -d, d + 4*d - i = -4*b. What is the remainder when 24 is divided by d?
6
Let x(l) = -26*l + 43. Let i(w) = -103*w + 168. Let q(b) = 2*i(b) - 9*x(b). What is the remainder when 119 is divided by q(4)?
58
Let n be (-10439)/(-104) - (-3)/(-8). Let