Let b = 3441 - 3432. Let t(a) = -a**2 - 5*a + 5. Let l be t(-5). Suppose -2*i = 3*v - 187, 4*v + 0*i = l*i + 211. What is the remainder when v is divided by b?
5
Suppose -5*s = -20*f + 18*f + 893, 2*s = -5*f + 2160. Calculate the remainder when f is divided by 22.
16
Suppose -2*u - 2*c + 2890 = 0, 2*u - c - 2491 = 381. Calculate the remainder when u is divided by 36.
35
Let z = -8130 - -8241. What is the remainder when 3995 is divided by z?
110
Suppose -4*v - 158 = -2*j - 0*v, 4*j - 4*v - 336 = 0. Suppose -5*d + j + 301 = 0. Let m = 454199 + -454178. What is the remainder when d is divided by m?
15
Let z(j) = 22*j**2 - j - 1. Let a be z(-1). Suppose -2*q - a = -0. Let b = q + 29. Calculate the remainder when 107 is divided by b.
17
Let c(h) = 2*h**2 - 65*h + 91. Let v be c(31). What is the remainder when (v/(-5))/(7/3045) is divided by 25?
24
Suppose 0*a - 5*a + 50 = 3*q, -5*q = 0. Suppose 0*c + 3*c + 5*r - 448 = 0, 2*c = 3*r + 286. What is the remainder when c is divided by (a/4)/(-1)*(-296)/20?
35
Let i(h) = -54*h**3 - 2*h**2 - 2*h - 1. Let d = 5 - 6. Let o(p) = -2*p**2 + 64*p + 304. Calculate the remainder when i(d) is divided by o(36).
5
Let n = -250 + 320. Suppose -3*p = -s + 2*s - n, 4*p + 262 = 3*s. Calculate the remainder when s is divided by 43.
39
Calculate the remainder when 6078 is divided by ((-4)/22*(-10 + -1) - 6)*-16.
62
Suppose -962 + 366 = -5*a - i, 5*a - 594 = i. Let n = -8492 - -8512. What is the remainder when a is divided by n?
19
Suppose -847*i + 1625 = -5151. Let a = 4 - 1. What is the remainder when (2/a)/((-4)/(-66)) is divided by i?
3
Let n(a) = -3*a**3 - 87*a**2 + 4*a + 147. Calculate the remainder when n(-29) is divided by 7.
3
Calculate the remainder when 236 is divided by 49 + 95/60*12.
32
Let q = -4313 + 4443. What is the remainder when q is divided by 21?
4
Let g = 26 - 0. Suppose g + 23 = -7*n. Let o(c) = -c + 6. Calculate the remainder when o(n) is divided by 6.
1
Let l = 1361 + -893. What is the remainder when (l/(-30))/(3/(-20)) is divided by 29?
17
Let z = 18380 + -18201. Calculate the remainder when z is divided by 60.
59
Let r be -3*((-9948)/(-18))/(-2). Suppose -2*p - 55 = -r. What is the remainder when p is divided by 39?
36
Suppose 3*i - 44 = 2*p, 2 = i + 2*p - 26. Suppose i*h + 2*h = 400. What is the remainder when 70 is divided by h?
10
Suppose c = 5*c + 12. Let q = 7 + c. What is the remainder when q is divided by 456/(-1026) - (-22)/9?
0
Let c(o) = 89*o - 348. Suppose 0*m + 3*m - 5*a - 324 = 0, -a = -4*m + 432. What is the remainder when m is divided by c(4)?
4
Let o = 477 + -437. Suppose o*z = 33*z + 378. Calculate the remainder when z is divided by 29.
25
Let a(j) = 50*j - 120. Calculate the remainder when 336 is divided by a(4).
16
Let d = -12303 - -13139. What is the remainder when 846 is divided by d?
10
Let o = -162 - -167. Suppose 4*i - 135 = -5*s, i + o*s = 3*s + 33. What is the remainder when 242 is divided by i?
32
Suppose -4*q + 0*q + 134 = 5*j, 2*j = 5*q - 184. Suppose -135 = -9*d + 4*d - 5*w, 5*d + 3*w = 121. Calculate the remainder when q is divided by d.
16
Suppose 6*c - 1681 = 6095. Calculate the remainder when c is divided by 50.
46
Let i(h) = -h + 8. Let g be i(9). Let r(z) = 6*z + 46. Let p be r(-10). Let k = g - p. What is the remainder when 36 is divided by k?
10
What is the remainder when 7/2*(-16)/(-28) + 4830/70 is divided by 60?
11
Let r = -138 + 147. Let l(w) = 8*w + 71. What is the remainder when l(r) is divided by 18?
17
Suppose -2*h + 3 = b, h + 29 = 2*h - 5*b. Suppose -h*o = -2*o - 132. Calculate the remainder when o is divided by 17.
15
Suppose 5*d - 47 = 48. Suppose -657 + 2176 = -7*g. Let x = -106 - g. What is the remainder when x is divided by d?
16
Suppose -3*c + 3*p - 15 = 0, 5*c + 2*p = p + 5. Suppose -32 + 15 = -z. Let n = z - c. What is the remainder when n is divided by 3?
2
Let v(a) = -a**3 - 5*a**2 + 16*a + 14. Let z be v(-7). Suppose z = 80*w - 77*w - 33. What is the remainder when 76 is divided by w?
10
Suppose 2076 + 384 = 88*r - 6*r. What is the remainder when 97 is divided by r?
7
Calculate the remainder when 589 is divided by (-700)/90 + 26 + -2*(-3)/(-27).
13
Let p(z) = -6*z + 1. Let v(j) = 28*j - 6. Let w(c) = 6*p(c) + v(c). Let m = 7 + -11. What is the remainder when 124 is divided by w(m)?
28
Let l(m) = 175 - 500*m + 84 + 477*m. What is the remainder when l(10) is divided by 13?
3
Let o(z) = 4*z + 10. Let x be o(-5). What is the remainder when x*21*(-4)/20 is divided by (1/3)/((-11)/(-495))?
12
Suppose 41*r - 1074 = 35*r. Let j = -164 + r. Calculate the remainder when 59 is divided by j.
14
Suppose 117*n - 116*n = 4*q + 175, -551 = -3*n - q. What is the remainder when n is divided by 47?
42
Let w(l) = -6*l + 11*l + 333 - 364. Calculate the remainder when 37 is divided by w(10).
18
Calculate the remainder when 3/(15/4538) + 2064/(-40) + 50 is divided by 188.
154
Let k = -3151 - -3166. Calculate the remainder when 2169 is divided by k.
9
Let m(u) be the first derivative of 2*u**3/3 + 89*u**2/2 - 131*u - 204. What is the remainder when m(-47) is divided by 5?
4
Let n be 2 + (-48)/21 - 16/(-7). What is the remainder when 67 is divided by (n*81/(-18))/(-1)?
4
Let r(k) = -2*k**2 + 10*k - 8. Let u be r(4). Suppose -2*m = -b + 76, -7*m + 12*m - 25 = u. Calculate the remainder when b is divided by (-11 + 2)*15/(-3).
41
Let p(l) = -50*l + 254. Let d be p(5). Suppose -d*m - 5*r + 77 = 0, 4*r + 2 = 2*m - 4. Calculate the remainder when 38 is divided by m.
12
Let y = 161 - -26. Suppose -90*j + 89*j + y = 0. Let w = -148 + j. What is the remainder when w is divided by 14?
11
Let q = 1594 + -831. Let p = q + -626. Calculate the remainder when p is divided by 20.
17
Let i(p) = -222*p + 12. Let b be i(-1). What is the remainder when ((-35)/10)/((-3)/b) is divided by 55?
53
Suppose 3*s + 20 - 11 = 0, 5*s = k - 72. Suppose 6*w - k = 399. What is the remainder when w is divided by 27?
22
Let v be (2 - 0)/(46/92). Let d(y) = 35*y - 125. What is the remainder when 178 is divided by d(v)?
13
Suppose -4*a = -60 - 156. Let p = a - 32. What is the remainder when ((-324)/(-4) - -1) + 5 is divided by p?
21
Let o(u) = u**3 + 15*u**2 - 4*u - 13. Suppose -5*v + 51 = -9. Calculate the remainder when o(-14) is divided by v.
11
Suppose -2*d + 4 = 0, 32*y - 3*d - 14 = 27*y. Calculate the remainder when 277 is divided by y.
1
Let y be ((-2)/2)/((-6)/60). Suppose 12*m - y*m - w - 1080 = 0, -5*m + 2697 = -w. What is the remainder when m is divided by 10?
9
Let d(i) be the second derivative of 2*i**3/3 - 28*i + 1. Suppose 4*y - 2*a - 23 = -5, 2*y - 5 = 5*a. What is the remainder when 51 is divided by d(y)?
11
Let z(w) = -71*w - 1383. What is the remainder when z(-23) is divided by 45?
25
Let a(z) = -z - 1. Let w be a(-4). Let j be (24/(-30))/((18/(-15))/w). Suppose 2*s + 4 = 4*l, j*s + s + 2*l = 26. What is the remainder when 15 is divided by s?
3
Suppose -53 = 2*i - 9. Let t be (i - -19)/(2/(-4)). Let r = -1 + t. What is the remainder when 10 is divided by r?
0
Suppose 3*c - 3319 = -104*w + 102*w, 3315 = 2*w - c. What is the remainder when w is divided by 120?
98
Let b = -8 - -86. Let k = b + -52. What is the remainder when (7/14)/(26/(-52))*(2 - 103) is divided by k?
23
Let u be -4 - 2 - 412/1. Let g = u - -422. What is the remainder when 15 is divided by g?
3
What is the remainder when 4114 is divided by 46 + ((-3)/((-12)/13) - (-34)/(-136))?
47
Let y = 271 + -235. Calculate the remainder when 21 is divided by 16/(9/(y/(-8))*-1).
5
Let g = 24 - -53. Let j(w) = -7781*w + 171231. What is the remainder when g is divided by j(22)?
28
Let k(q) = 3*q**2 + 14*q + 12. Let s be k(-10). Let h = -19 - -171. What is the remainder when h is divided by (s/(-12) - 3)*6/(-2)?
48
Let k(q) = q**2 - 17*q + 60. Calculate the remainder when 599 is divided by k(15).
29
Suppose 0 = 2*z + 8*o - 244, -2*o = 38 - 28. Calculate the remainder when z is divided by 40.
22
Suppose 156*x - 165*x - 90 = 0. Calculate the remainder when 39 is divided by x/(50/(-105)) + 1.
17
Let h(v) = v**3 - 7*v**2 - 16*v - 8. Let j be h(10). Let s = j + -106. Suppose 6*r - 16 = s. Calculate the remainder when r is divided by 4.
3
Calculate the remainder when (1/4*71)/((-34)/(-136)) is divided by 64.
7
What is the remainder wh