
13
What is the remainder when 728 is divided by -5 - (92/(-14) - 153/357)?
0
Let b be ((-25 - -24) + 9)/(1/(-10)). Let a = 206 + -106. Let t = b + a. What is the remainder when 78 is divided by t?
18
What is the remainder when ((-7980)/(-14))/(4 + 2 - 4) is divided by 98?
89
Suppose y + 43*y = 27*y + 442. Calculate the remainder when 79 is divided by y.
1
Let j(o) = 1146*o + 4606. What is the remainder when 599 is divided by j(-4)?
5
Let r = 156 + 27. Let v = r - 60. Calculate the remainder when v is divided by 21/49 + 642/21.
30
Suppose y + 508 = o, -39*o = -44*o - y + 2558. What is the remainder when 514 is divided by o?
3
Let a(u) = u**2 - u + 88. Let r be a(0). Suppose -7*w + r + 10 = 0. What is the remainder when 20 is divided by w?
6
Let o = 8061 - 7476. What is the remainder when o is divided by 165?
90
Let f(c) = c + 1. Let r be f(-6). Let g(a) = a**3 - 21*a**2 + 2*a + 45. What is the remainder when g(21) is divided by 20/r*(-45)/12?
12
Calculate the remainder when 376 is divided by 1*((-2)/3 + 48/18).
0
Let q = -11298 - -11321. What is the remainder when 13246 is divided by q?
21
Let z(d) = 10*d**3 - 21*d**2 - 5*d - 5. Calculate the remainder when 849 is divided by z(3).
56
Let c(g) = 18 - 2*g**2 - 10*g**2 - 5*g**2 + 21*g**2 - 33*g. Calculate the remainder when 90 is divided by c(9).
0
Suppose 50*c - 45*c - 5 = 0, -4*u + 73 = c. Calculate the remainder when 57 is divided by u.
3
Suppose 175 - 1651 = -41*i. Suppose 5*o - 529 = 2*r, 0*o + 122 = o + 5*r. Calculate the remainder when o is divided by i.
35
Let h(d) = -6*d + 10. Let p(i) = -5*i + 10. Let j(u) = -6*h(u) + 7*p(u). Suppose -3*w + 28 = -74. Calculate the remainder when w is divided by j(9).
15
Suppose 5*q - 8197 = -2038 + 1906. What is the remainder when q is divided by 268?
5
Let l be (9/(-27) + 19/(-6))*-2. Suppose -5*y - 3*x - 11 = 0, l*y - 2 = 3*y + 3*x. Calculate the remainder when 3*y + -8 + 37 is divided by 4.
2
Let i(r) = -r**3 + 6*r**2 + 3. Let x be i(6). Let o(v) = 11*v + 2*v**x + 3*v - 10 - 3*v**3 + 10*v**2. What is the remainder when o(11) is divided by 6?
5
Let d be (-5)/(-7 - (-4 - 2)). Suppose -50 = -d*m + 5*w, -w = -3*m + 3 + 19. Calculate the remainder when 41 is divided by m.
5
Suppose 0 = 5*y + 376 - 76. What is the remainder when ((-9)/(-7 + -2) - (-1 + -77))*1 is divided by ((-24)/(-10))/((-9)/y)?
15
Let q(u) = 33*u + 2127. What is the remainder when q(-64) is divided by 11?
4
Let j = -8048 + 8697. What is the remainder when j is divided by 240?
169
Let h(u) = 28*u**3 - 3*u**2 + 2*u + 1. Let x be 2 - (2 - -2) - -4. Calculate the remainder when h(x) is divided by 45.
37
Suppose 2*z = 2*j, 4 = -z + 2*j - 0. Let r = 9356 - 9348. What is the remainder when r is divided by (-6)/z*(-8)/6?
0
Let t(q) = 2*q**2 + 14*q. Let u be t(-11). Suppose -s + u = s. What is the remainder when s is divided by 60/10*(-6)/(-4)?
8
Let d = -4 - -7. Let y be -1 - -4 - (-1)/(d - 4). Suppose -4*s = 0, 7*l - y*s = 2*l + 55. What is the remainder when 42 is divided by l?
9
Let a(l) = -25*l - 238. Let n be (2 + -11)*2/(-6). Suppose n - 83 = -5*k. What is the remainder when k is divided by a(-10)?
4
Suppose 4*o - 2*t = 96 - 26, -2*o - 4*t = -10. What is the remainder when 202 is divided by 34*4/(-6)*o/(-10)?
32
Let c(p) = -29125*p + 349537. Suppose -5*n + 441 = -4*n. Calculate the remainder when n is divided by c(12).
34
Let k be ((-12)/(-33))/(4/22). Let p(x) = 3*x + 14. What is the remainder when k - (-27)/(-6)*-22 is divided by p(4)?
23
Let i = -53289 - -53356. Let m = -1 + 4. Suppose z - 10 = -m*o, 3*z - 5*o + o = 30. What is the remainder when i is divided by z?
7
Let b = -20 + 18. Let v be 36/12*(80/(-6) - b). Let d = 66 + v. What is the remainder when d is divided by 7?
4
Let i(o) be the second derivative of 34*o**3/3 - 49*o**2 + 216*o. Calculate the remainder when i(4) is divided by 35.
34
Let q be (-8 - 10/(-2)) + 150/30. Let s(d) = 191*d**3 - d. Let k be s(1). Suppose q*p - k = -3*p. Calculate the remainder when p is divided by 11.
5
Let v(p) = 17*p**2 - 2*p**3 - 69 + p**3 + 95*p + 9 + 8*p**2. Calculate the remainder when v(28) is divided by 34.
10
Suppose 14*c - 7774 = 22*c - 21*c. What is the remainder when c is divided by 49 + (-2 + 3)/1?
48
Let s(r) = 7*r - 71. Let m(h) = -14*h + 144. Let o(l) = 6*m(l) + 11*s(l). Calculate the remainder when 78 is divided by o(9).
18
Suppose 10 = 3*i - 2*f, 3*f - 4*f + 10 = i. Calculate the remainder when i is divided by 2.
0
Suppose 395*q - 387*q - 1808 = 0. Calculate the remainder when 477 is divided by q.
25
Let g(t) = t**2 + 38*t + 112. Let d = -7 + 69. Calculate the remainder when d is divided by g(-35).
6
Calculate the remainder when 14/(-4)*(-27)/42*(-1760)/(-33) is divided by 38.
6
Suppose 14*j - 9*j - 15 = 0, -3*n + 81 = 2*j. Calculate the remainder when 346 is divided by n.
21
Let k(a) = -17*a**3 + a**2 + 5*a + 8. Let j(f) = f**2 - 4*f + 1. Let l be j(3). What is the remainder when k(l) is divided by 36?
30
Suppose -15600 = -177*w + 102*w. What is the remainder when w is divided by 111?
97
Let k(i) = 4*i**2 + 21*i + 65. Let x(s) = -20*s**2 - 105*s - 326. Let g(f) = 11*k(f) + 2*x(f). Calculate the remainder when g(-4) is divided by 13.
4
Suppose -2*f + 1087 = u, -5*f - 10*u + 2700 = -5*u. Calculate the remainder when f is divided by 523.
24
Suppose 60*n = -12*n + 3*n + 138. Suppose -10 = -r - r. Suppose -r*t + t + 36 = 0. What is the remainder when t is divided by n?
1
Let y be (1/(-1))/(4/(-16)). Suppose -4*s - s + 8 = -3*p, -y*s - 5*p = -36. Calculate the remainder when 104 is divided by (3 + -3 - -17) + s.
20
Let i(d) = 2*d**3 + 1. Let l(p) = -p + 4. Let o(k) = 11*k - 118. Let j be o(11). What is the remainder when i(1) is divided by l(j)?
0
What is the remainder when (21/6)/((102/300)/17) is divided by 82?
11
Calculate the remainder when (4/(-30))/((-372)/1674)*(-1 + 12806) is divided by 17.
16
Let c(o) = 6*o + 37. Let x be c(-6). Suppose x = 3*d - 4*d + 3*r, -4*r - 16 = 0. Calculate the remainder when -1*4/4*d is divided by 7.
6
Let k(g) = 3*g**2 + 10*g - 423. What is the remainder when 767 is divided by k(-14)?
17
Suppose 0 = -4*h + u + 2*u + 246, -5*u = h - 50. Calculate the remainder when h is divided by -4*((-252)/(-16))/(-9).
4
Let u = -169 - -379. Let d = u + -115. What is the remainder when d is divided by 16?
15
Suppose 207 = 15*u - 12*u. Suppose -6*r + 3*r - 73 = -o, 4*r + u = o. Let c = 112 - o. What is the remainder when c is divided by 18?
9
Let w = 19254 - 17489. Calculate the remainder when w is divided by 13.
10
Suppose 5*k + 10 = 0, 69*h - 2966 = 65*h + 5*k. What is the remainder when h is divided by 149?
143
Suppose 21*b = -4066 - 2969. Let c = 339 + b. What is the remainder when 8 is divided by c?
0
Let n be ((-210)/(-49) + -4)*49. Suppose n - 44 = -2*p. Calculate the remainder when 132 is divided by p.
12
What is the remainder when 1145 is divided by (-36)/20*((-196)/3 + (-12 - -19))?
95
Let r(b) = 19*b - 119. Let g be r(8). What is the remainder when 38 is divided by ((-30)/(-4))/(g/22)?
3
Let a(d) = d**3 + 45*d**2 - 50*d - 152. Let k be a(-46). Suppose -28*v - 68 = -k*v. What is the remainder when v is divided by 4?
1
Let f(w) = -2*w**2 - 4*w**2 - w**3 + 9 - 12*w - w - w**2. What is the remainder when 37 is divided by f(-4)?
11
Suppose -3*g + 2*k + 7 + 3 = 0, 10 = -2*k. Suppose g = j - 12*j + 517. What is the remainder when j is divided by 30?
17
Let r = 86 + -82. Let l = -10 + r. Let b(f) = f**3 + 5*f**2 - 9*f - 8. What is the remainder when 11 is divided by b(l)?
1
Suppose -14*y + 100 = -19*y. What is the remainder when 93 is divided by y/(-2) - (-9 + 2 - -5)?
9
Let b = -277 - -257. Let u = -6 + 89. Let x = b + u. What is the remainder when x is divided by 13?
11
Suppose 2*f - 3 = 23. Let w be 7 - f - 4*-1. Calculate the remainder when (-17 - -14)*5*w is divided by 4.
2
Let p(z) = -1950*z + 577. What is the remainder when p(0) is divided by 25?
2
Suppose k - 4*o = -15, 0*o + 5*o - 22 = -2*k. Let j be (-23 + 13)/((-5)/2). Suppose j = -19*g + 23*g. What is the remainder when g is divided by k?
0
Let q(x) = 2*x**2 - 125*x - 390. Calculate the remainder when q(92) is divided by 40.
38
Let m = -2704 - -2737. Calculate the remainder when 945 is divided by m.
21
Suppose 8*m - 12*m = 3*y - 90, 0 = -3*y + 5*