
22
Let z be 65/(2 - 2 - 1). Let m(g) = g**2 - 33*g + 80. Let p be m(30). What is the remainder when 1/(p/z)*(5 + 1) is divided by 14?
11
Let n = -5712 + 5730. Let d = 2 + -2. Suppose -4*g = -s - 3*g + 6, 3*g = d. Calculate the remainder when n is divided by s.
0
Let r = -2389 - -2394. Calculate the remainder when 142 is divided by r.
2
Suppose -8*i = -68 + 388. Let g(t) = 5*t**2 + t - 1. Calculate the remainder when g(1) is divided by ((-2)/4)/(5/i + 0).
1
Suppose 185*r - 2*a = 188*r - 347, -2*r = 2*a - 228. Calculate the remainder when 2016 is divided by r.
112
Let t(s) = -2*s**3 + 5*s**2 + 12*s - 13. Let f be t(4). Let z(w) = w**3 + 14*w**2 + 15*w + 29. Calculate the remainder when 16 is divided by z(f).
1
Let h = 597 + -326. Let a(b) = b**2 - 24*b - 285. Calculate the remainder when h is divided by a(34).
51
Let o(n) = n**3 + 6*n**2 + 2*n. Suppose 3*p - 16 = -4*l - 0, 11 = 3*p - l. What is the remainder when o(-5) is divided by p?
3
Suppose 0 = -s - 6*r + 2*r - 14, 0 = -4*s - 2*r. What is the remainder when 122 is divided by (s + (-15)/9)/((-4)/(-300))?
22
Let a = -143 + 145. What is the remainder when (9/4 - a) + (-236)/(-16) is divided by 2?
1
Suppose 367 - 524 = -4*t + 3*h, -t = 2*h - 42. What is the remainder when 244 is divided by t?
4
Let x(o) = 2*o**3 + 10*o**2 + o + 2. Let j be x(-5). Suppose -35 - 5 = -4*i. What is the remainder when (-3*4/(-12))/(j/(-54)) is divided by i?
8
Suppose -4*c + 6*c - 5*c = 0. Suppose 4*w - 13 - 39 = c. Calculate the remainder when 23 is divided by w.
10
Suppose b + 446 = -5*c, 2*b - b = -3*c - 268. Suppose 0 = -v - 2*p - 88 + 21, 0 = -5*v - 3*p - 370. Let k = v - c. What is the remainder when k is divided by 8?
4
Calculate the remainder when (-68)/(-12) + -5 - (-638)/6 is divided by 115/13 + -9 - 470/(-13).
35
Let t = -15 + 49. Let w = t - -7. Suppose 0*x = x - w. Calculate the remainder when 163 is divided by x.
40
Let z(a) = -26*a**3 - 3*a**2 + 3. Let y be z(-2). Suppose -186 = -5*n + y. What is the remainder when n is divided by 5*(2 - -1*2)?
17
Suppose -8943*f + 8974*f - 19065 = 0. Calculate the remainder when f is divided by 56.
55
Suppose -2*k = -2*r + 222, -4*r = 276*k - 273*k - 458. What is the remainder when 1579 is divided by r?
110
Suppose -2*c - 9 = -5*c - 4*a, -5*c + 3*a = -44. Suppose 222 = -4*s + c*s. Calculate the remainder when s is divided by 11.
8
Let c be 9/((-8936)/1280 - -7). Suppose 6*n - c = -120. Calculate the remainder when 299 is divided by n.
59
Let h = 53 - -132. Let b = 217 - h. Calculate the remainder when 222 is divided by b.
30
Suppose -i + 3*a + 18 = 0, 2*a = i + a - 8. Let r(y) = 46*y - 587. Let c be r(13). Let o = c - i. Calculate the remainder when 30 is divided by o.
6
Let z = -4106 - -4168. Calculate the remainder when z is divided by ((-1)/(-3))/((-1)/(-66)).
18
Let c(x) = -485*x - 109. Let s be c(3). What is the remainder when 459 is divided by ((6/4)/((-51)/s))/1?
45
Suppose -12*t = -16*t + 8. Calculate the remainder when (8/t)/(45/540) is divided by 29.
19
Let o(z) = -4*z**2 + 67*z + 26. What is the remainder when 186 is divided by o(17)?
6
Suppose -9*c + 37*c = 2576. What is the remainder when 1286 is divided by c?
90
Suppose 114*q = 78*q + 1440. Let p = 453 - 216. What is the remainder when p is divided by q?
37
Suppose 11*v - 677 + 446 = 0. Calculate the remainder when 649 is divided by v.
19
What is the remainder when 0 - (20 + -15) - -1488 is divided by 9?
7
Suppose 172 = 4*r + 188, 5*r = 4*p - 1068. What is the remainder when p is divided by 53?
50
Suppose 3*p + 0*p = 87. Let m(r) = 2*r**2 - 14*r + 8. Let o(f) = -27*f + 115. Let y be o(4). What is the remainder when p is divided by m(y)?
5
Suppose 4*z + 6*i = 3*i, 0 = i. Suppose b + 2*j = -2 - 4, z = 3*b - 4*j - 12. Suppose w + 2*w - 276 = b. Calculate the remainder when w is divided by 19.
16
Let l(c) be the first derivative of c**3/3 + 13*c**2/2 + 13*c + 12. Let a be l(-12). Calculate the remainder when 41 is divided by (a - -8)/(3/3).
5
Suppose 371 = 37*t - 221. What is the remainder when 95 is divided by t?
15
Let l = -308 + 314. Calculate the remainder when l is divided by 64/30 + ((-4)/(-15))/(-2).
0
Let y be (6/(-4) + 2)/(11/3454). Suppose -9*z = -257 - y. Calculate the remainder when 319 is divided by z.
43
Let j be (-1)/(-3*(5210/5205 + -1)). Suppose 23*t = 1497 - j. What is the remainder when t is divided by 10?
0
Let b be -8 + (-993)/(-6) + 3/(-2). Suppose w - 2*w = 5*m - 650, b = m - 5*w. What is the remainder when m is divided by 28?
19
Suppose 672 - 276 = 9*a. Suppose -a + 72 = 4*m. Calculate the remainder when 78 is divided by m.
1
Let l(z) = 41*z + 13. Let m = -260 - -266. What is the remainder when l(m) is divided by 65?
64
Let c = -1 - -4. Suppose -21*w + 5 = -37. Suppose -4*m + w*m + 60 = v, -169 = -c*v + 5*m. Calculate the remainder when v is divided by 20.
18
Suppose 5*o + 3*y = 720, 12*y - 288 = -2*o + 11*y. Calculate the remainder when 129 is divided by (-54)/o + 166/16.
9
Let h = -41341 + 43314. What is the remainder when h is divided by 488?
21
Let q(l) = l**3 + 16*l**2 + 15*l + 2. Let u be q(-6). Let o = u + -247. Calculate the remainder when 37 is divided by o.
12
Let u(a) = a**3 - 19*a**2 - 18*a + 10. Let h be u(20). Suppose -h = -3*s + 3*o + 169, 2*o - 2 = 0. What is the remainder when s is divided by 42?
32
Let z(l) = -79*l + 14 + 15 + 76*l. What is the remainder when 75 is divided by z(7)?
3
Suppose -4*g = 5*k - 4 - 14, -g = -3*k + 4. Suppose 4*b = r - 25, 0 = r + g*b + 3 - 28. Calculate the remainder when r is divided by 10.
5
Suppose -25*l + 1794 = -2*l. What is the remainder when l is divided by 48?
30
Let n = 25 - 17. Suppose -p + 12 = 13*f - 11*f, 0 = p + 4*f - 6. Calculate the remainder when p is divided by 41/3 - n/12.
5
Let m(c) = -c**2 + 107 + 155 - 827*c + 871*c. Calculate the remainder when m(0) is divided by 22.
20
Suppose x + 0 + 4 = -3*z, -z - 20 = -2*x. Suppose 5*d = -2*a + 475, 4*a = -12 - x. Suppose d = 2*t + 67. What is the remainder when 57 is divided by t?
12
Let z = 47 + -32. Let y = 15 + -15. Suppose 5*b + 4*x - 38 = y, 5*b + 2*x - 4*x - 56 = 0. Calculate the remainder when z is divided by b.
5
Let o be (16/(-10))/(28/70). Calculate the remainder when ((-1002)/(-12) + o)*2 is divided by 7.
5
Let k(o) = o**3 + 5*o**2 + 6*o + 3. Let s be k(-4). Let h = 2 - -8. Calculate the remainder when 83 - (((-15)/s - -1) + 0) is divided by h.
9
Calculate the remainder when 244 is divided by (19547/88 - 10) + 3/(-24).
32
Suppose 5*w + 7*v - 8*v - 122 = 0, -3*w + 70 = v. What is the remainder when 689 is divided by w?
17
Let c(m) = -m**3 - 3*m**2 + 1. Let l be ((-3)/(-9))/(2 - 130/66). Suppose 110 = -y + l*y. What is the remainder when c(-5) is divided by y?
7
Let w(a) = 383*a - 1134. What is the remainder when 44 is divided by w(3)?
14
Let p = -5473 - -6064. Calculate the remainder when p is divided by 120.
111
Calculate the remainder when 130/(-117) + 16418/18 is divided by 907.
4
Let v = -216523 - -216554. Calculate the remainder when v is divided by -13*(2 + -4)/2.
5
Let f(l) = -l**3 - 8*l**2 + 17*l + 221. What is the remainder when f(-13) is divided by 176?
141
Let k = 2166 + -2152. Calculate the remainder when 468 is divided by k.
6
Suppose -3*u + 8 = -u - 2*w, 2*u - 11 = w. Let k(j) = j**3 - 7*j**2 + 4*j - 9. Calculate the remainder when k(7) is divided by u.
5
Let t = -2684 - -2757. Calculate the remainder when 8248 is divided by t.
72
Let v(t) = 3*t - 222. Let g(a) = -a + 112. Let x(r) = 9*g(r) + 4*v(r). Calculate the remainder when 76 is divided by x(-25).
31
Let d = -118 + 124. Suppose -3*g + 12 = -3. Calculate the remainder when 3 is divided by (6/g)/((d/(-5))/(-3)).
0
Suppose -5*l + 8*u - 11*u + 207 = 0, 5*u + 89 = 2*l. Suppose 11*i = 8*i + l. What is the remainder when 26 is divided by i?
12
Suppose 192*v + 3600 = 194*v. What is the remainder when v is divided by 82?
78
Suppose t = -i + 243, -131*i + 135*i + 2*t = 972. What is the remainder when i is divided by (-12)/(-8)*122/3?
60
Let p = 50 - 47. Suppose 2*i - 3*l = -p, 5*i - 3*l - 4 = -7*l. What is the remainder when 7 is divided by (-3 - (-2 + i))/((-5)/10)?
1
Let h = 613 + -586. Suppose -12 - 1 = -o + 2*d, -4*d = 12. What is the remainder when h is divided by o?
6
Let k(o) = o**2 + 17*o + 3*o**