t n be p(10). Let b = n - -300. Calculate the remainder when 55 is divided by b.
5
Calculate the remainder when 29429 is divided by ((-169)/(-39))/(10/30).
10
Suppose -o = -2*o. What is the remainder when ((-58)/(-2))/(1 - o) is divided by (81 + 16969/(-213))*2*3?
5
Let h(u) = 360*u - 1753. What is the remainder when h(5) is divided by (16 - 2)*4/2?
19
Let l(q) = 72*q + 39. Let j be l(-4). Let w = j - -263. What is the remainder when 39 is divided by w?
11
Let o = 5001 - 4762. What is the remainder when o is divided by 114?
11
Calculate the remainder when 1490 + 0 - (-30 - 1 - -33) is divided by 1480.
8
Let u(k) be the second derivative of -k**4/4 + 79*k**3/6 - 7*k**2/2 - 2*k - 106. Calculate the remainder when (-27)/2*(-16)/6 is divided by u(26).
17
Let z = 2064 + -2022. What is the remainder when 524 is divided by z?
20
Suppose -a - 3*w = 14, 4*w = -2*a - 24 + 4. Let l(b) = -6*b**3 - b**2. What is the remainder when l(a) is divided by 8?
4
Suppose 0 = -5*s + 3*r + 83, 2*r = -3*s - 2*r + 44. Let n(v) = -v**2 - 94*v - 2041. What is the remainder when n(-52) is divided by s?
15
Let h(b) = -b**2 - 9*b + 6. Suppose -33*r - 9 = -36*r. Suppose r*c - 4*c = 4*k + 11, -4*c + 11 = 5*k. Calculate the remainder when h(-5) is divided by c.
8
Let w(v) = -3*v + 89. Let g be -87*(4/6 - 1) - -2. Suppose -g*n - 168 = -37*n. Calculate the remainder when 24 is divided by w(n).
4
Let l = 655 - 196. Suppose 3*s = p - 153, -2*s + s = -3*p + l. Calculate the remainder when p is divided by 39.
36
Let m(b) be the first derivative of -7*b**4/2 - 7*b**3/3 + b**2/2 + 3*b + 2. Suppose -76*r - 8 = -72*r. Calculate the remainder when m(r) is divided by 8.
5
Let g(v) be the second derivative of -19*v**3/2 - 18*v**2 - 46*v + 2. Calculate the remainder when g(-3) is divided by 14.
9
Suppose 0 = -3*f + 4*g - 568, -2*g - 376 = 2*f - 6*g. Let a = -98 - f. Suppose -a = -5*m + 31. Calculate the remainder when m is divided by 8.
1
Let h(z) = -z**3 - 31*z**2 + 68*z + 324. What is the remainder when 550 is divided by h(-33)?
34
Suppose -47*o - 11535 - 10273 = 0. Let i = 478 + o. Suppose 4*p - 15 = s, p + 3*s + 2 = 9. What is the remainder when i is divided by p?
2
Suppose 9*m - 12*m = -87. Suppose 4*h - 2*c = 6*h - 80, 0 = -4*h + c + 160. What is the remainder when h is divided by m?
11
Let a(g) = g**3 + 42*g**2 - 48*g + 162. Calculate the remainder when a(-43) is divided by 127.
123
Suppose 3*t - 7*t = 4*v - 56, 5*v - 54 = -4*t. What is the remainder when 67/(-1)*(-16)/t is divided by 25?
17
Suppose 0 = -h - 12*h + 522 - 93. What is the remainder when 154 is divided by h?
22
Let j be -358*2/(8/(-10)). Suppose 0 = -43*c + 48*c - j. Calculate the remainder when c is divided by 31.
24
Let g = -17498 + 19104. Calculate the remainder when g is divided by 523.
37
Let n be (3042/(-195))/(4/(-30)). Let x = -72 + n. What is the remainder when x is divided by 12?
9
Let a(f) = -f - 6. Let y be a(1). Let x(j) = -7*j - 37. Calculate the remainder when 118 is divided by x(y).
10
Let h(x) = -2*x**2 - 42*x - 58. Let y be h(-18). Let d = y - 22. Let u(l) = l**3 + 10*l**2 - 4*l - 7. Calculate the remainder when u(-9) is divided by d.
26
Suppose 26*u = 31964 + 7114. What is the remainder when 60 is divided by u/135 - (-4)/(-30)?
5
Let l be (1 - -11)*(-869)/(-33). Let j = -280 + l. What is the remainder when 321 is divided by j?
33
Suppose 18295 + 1125408 - 33087 = 236*g. What is the remainder when g is divided by 2349?
8
Calculate the remainder when -40*((-6)/24)/((-10)/(-420)) is divided by 47.
44
Suppose 2*t + m - 957 = -2*m, -5*t = 2*m - 2409. Calculate the remainder when t is divided by 3 + 79 + 56/72*-27.
56
What is the remainder when 20 is divided by (-221)/(-26)*8/17?
0
Let t = 60 + -12. Suppose m - i = 24, 5*i = -2*m + 3*i + t. Calculate the remainder when m is divided by 16 + (-3 - 18/6) + -3.
3
What is the remainder when 1/(-16) + (-101067)/(-944) is divided by (-20 + 0)/(18/(-27))?
17
Let w be 30/(-7)*(-812)/(-174). Suppose o - 12 = 2. What is the remainder when o is divided by (-2 - w/(-15))*15/(-10)?
4
Suppose -8 = 4*b - 0. Let q be b/3 + 88/33 - 0. What is the remainder when 75 is divided by 16 - -3*(-2)/q?
10
Suppose 0 = 71*s - 57*s - 2296. Suppose 0 = -8*c + 10*c - s. Calculate the remainder when 245 is divided by c.
81
Let p(k) = -6*k - 7. Suppose 162 = 5*j - 108. Let a = j + -56. What is the remainder when 23 is divided by p(a)?
3
Suppose 2*k = 4*i + 8, 2*k + 2*i = -k + 36. Suppose -k*r + 209 = 59. Calculate the remainder when 73 is divided by r.
13
Suppose -71*k + 78*k = 0. Suppose k = 6*h + 440 - 518. What is the remainder when h is divided by 7?
6
Let q be (-4)/((-12)/171) + -10 + 9. Suppose -4*g + 14 = -5*c + q, 5*c = -4*g + 18. Calculate the remainder when (138/(-8))/((-6)/(-4))*-2 is divided by c.
5
Let d be (-3)/(-2)*68/(-51). What is the remainder when 10/(-4)*((-908)/10 - d) is divided by 32?
30
Let c = 15990 + -13702. Calculate the remainder when c is divided by 5.
3
Suppose -5*h + z + 2912 = 0, -5*z + 4 + 11 = 0. Calculate the remainder when h is divided by 13.
11
Let s = 794 + -485. Let k(a) = -9*a - 681. Calculate the remainder when s is divided by k(-77).
9
Suppose -2*v = -4*v + 18. Let d be 3*(48/v)/(-4). Calculate the remainder when (-3)/d + (-779)/(-76) is divided by 3.
2
Let v(y) be the third derivative of 5*y**4/24 + 16*y**3/3 + 52*y**2. Calculate the remainder when 19 is divided by v(-5).
5
Suppose -4*r + 278 + 105 = -5*p, 0 = -3*r + 2*p + 282. Let u = r + -96. Calculate the remainder when 24 is divided by 8 - (8/u + -1).
2
Suppose n = 0, -n + 79 + 21 = 5*x. What is the remainder when 184 is divided by x?
4
Suppose -15*m = -7*m - 608. Suppose -3*s + m = s. What is the remainder when 90 is divided by s?
14
Calculate the remainder when 435 is divided by (-4)/(32/(-1476))*(-19)/(114/(-4)).
66
Suppose -7*q + 15 = -2*q. Suppose q - 47 = -4*d. Let r(g) = g**3 - 7*g**2 + 9. What is the remainder when d is divided by r(0)?
2
Let z = 8518 + -7820. What is the remainder when z is divided by 25?
23
Let g = 35458 + -12561. Calculate the remainder when g is divided by 37.
31
Let b(o) = o + 22. Let m = -52 + 61. What is the remainder when b(12) is divided by m?
7
Let t(r) = r**3 + 32*r**2 + 51*r + 74. What is the remainder when t(-30) is divided by 20?
4
Let b = -7222 - -7328. Calculate the remainder when b is divided by 59.
47
Let g = 442 + -437. Suppose 2370 = g*h + h. Calculate the remainder when h is divided by 36.
35
Let i(g) = 9*g - 175. Let v be i(20). Calculate the remainder when 102 is divided by ((-1)/2)/(v/(-290)).
15
Suppose -9*x = 1 - 10. Let t be (x + -2)*(-8 - -8 - 1). Let b = t + 98. What is the remainder when b is divided by 10?
9
Let c = 3987 + -3977. Calculate the remainder when 1439 is divided by c.
9
Let q(c) = 3*c**2 + 10*c - 9. Let m be q(-7). Let n(w) = 24*w + 32*w**2 + 35*w**2 + 19 - w - m*w**2. Calculate the remainder when n(20) is divided by 27.
25
Suppose q + 0*q = -5, 4*b - 2*q = 54. Let w(t) = -2*t**3 - 54*t**2 - 5*t - 86. Calculate the remainder when w(-27) is divided by b.
5
Suppose -4*j + 5*m = -11, 5*m - 13 - 8 = -4*j. Suppose 4*l - 248 = -4*c, l = 3*l - j*c - 94. Calculate the remainder when 111 is divided by l.
54
Let u = -14 + 19. Suppose 4*w - 48 = -4*y, y = u*y - 4*w - 16. What is the remainder when 36 is divided by y?
4
Let l(u) = u**3 - 23*u**2 + 19*u + 30. Let j be l(22). Suppose 8*q = 3*q - 15. Calculate the remainder when 110 is divided by (q/(j/28))/((-1)/(-12)).
26
Let c(j) = j + 9. Suppose -253 = -5*y - 6*y. Suppose y = 4*r + 4*m - 5*m, -4*r = -5*m - 19. What is the remainder when c(0) is divided by r?
3
Suppose 5*t - 2*t = 3*p - 9, 0 = -2*p + 6. Suppose -27*k + 57 + 2049 = t. Calculate the remainder when k is divided by 3.
0
What is the remainder when (-275)/(-25) + 87*(-532)/(-6) is divided by 28?
25
Calculate the remainder when ((-910)/(-28))/(-13)*-14 is divided by 21.
14
What is the remainder when 47 is divided by ((-210)/(-36))/(-35)*-102?
13
Suppose 4*h - 9050 = 5*l, h - 4*l = 1232 + 1036. What is the remainder when h is divided by 73?
70
Suppose 0 = 3*h - 7*n + 10*n - 27, -2*h = 5*n - 33. What is the remainder when 750 is divided by h?
2
Let y(c) = 13*c - 2. Let t be y(-3). Let q be ((-11)/(-22))/((-2)/92). Let a = q - 