late the remainder when l is divided by 12.
11
Suppose -68*r + 63*r + b + 249 = 0, 0 = -4*r + 2*b + 198. What is the remainder when r is divided by 48?
2
Let o(b) = -b**2 - 22*b - 82. Let h = 376 - 392. What is the remainder when 81 is divided by o(h)?
11
Let d(j) = 7*j**3 - 5*j**2 + 34*j + 58. Calculate the remainder when d(5) is divided by 250.
228
Suppose 3*r = -5*f + 10678, 0*r = f + r - 2136. Calculate the remainder when f is divided by 93.
89
Suppose -2*p + 5*f + 194 = 0, 4*f + 150 = 4*p - 238. What is the remainder when 123 is divided by p?
26
Suppose -95*x = -98*x - 6. Calculate the remainder when 115 is divided by x + (43/3 - 20/(-30)).
11
Suppose -11*z + 22*z + 29*z = 332840. What is the remainder when z is divided by 57?
56
Suppose -8625 = -v - w, 105*v - w = 110*v - 43137. What is the remainder when v is divided by 83?
79
Suppose 36*a + 1136 = 39*a + 5*l, 2*l + 4 = 0. Let m = a + -363. Calculate the remainder when 123 is divided by m.
9
Let r be (((-1856)/10)/16)/((-2)/70). Let i = -348 + r. Calculate the remainder when i is divided by 20.
18
Let d(r) = r**3 - 9*r**2 - 20*r - 24. Let l be d(11). What is the remainder when (-1)/2 - 75/(-2) is divided by (-155)/(-93)*(-24)/l?
17
Calculate the remainder when 217 is divided by (-2737)/(-46)*42/49.
13
Suppose -106 = -5*l - 126. Suppose r + 3*r - 360 = 0. What is the remainder when r is divided by 1 + l/(-6)*-2*-9?
12
Let m(o) = 69*o - 3024. Calculate the remainder when 978 is divided by m(45).
6
Suppose -10*r + 15*r - 80 = 0. Suppose -9 = -d + r. What is the remainder when 41 is divided by d?
16
What is the remainder when 173 is divided by 8 + 8 + (-5)/5 + -4?
8
Let c(k) be the first derivative of -k**4/4 - 11*k**3/3 - 31*k**2/2 - 9*k + 320. Calculate the remainder when c(-8) is divided by 1 + (10*-2)/(-2).
3
Let l(m) = 2*m**3 + m**2 - 23*m + 885. What is the remainder when l(0) is divided by 2?
1
Suppose -15 = -2*r - s + 2*s, 4*s - 48 = -4*r. Let i(q) = -38*q**2 - 589*q - 215. Calculate the remainder when i(-15) is divided by r.
7
Let a(q) = -319*q - 305. Suppose 0*h = 3*h - 159. Suppose -h = -3*o + 67. What is the remainder when o is divided by a(-1)?
12
Suppose 522*p = 550*p - 1484. Calculate the remainder when 107 + -4 + 1 + -1 is divided by p.
50
Let r(h) = -h**3 + 11*h**2 + 19*h + 19. Let b be r(11). Let u = 330 - b. What is the remainder when u is divided by 15?
12
Suppose -5*i = 4*c - 99, 3*i + 81 = 2*c + c. Let l = -3 + c. Let d = l - -5. Calculate the remainder when 107 is divided by d.
23
Suppose 3*j = 8*j - 2460. Suppose -u - z = 4*z - 20, -u - z + 40 = 0. What is the remainder when j is divided by u?
42
Calculate the remainder when (-35464)/(-30) - (-4 + 620/150) is divided by 15.
12
Calculate the remainder when 57/3 + (492 - 44) is divided by 13.
12
Let s(w) = w**3 - 11*w**2 + 9*w + 13. Let x be s(10). Suppose -f - 63 = -3*y + 1, 94 = 4*y + x*f. What is the remainder when 241 is divided by y?
21
Suppose -2*q = 14 - 6. Let a(s) be the third derivative of -s**4/6 - 3*s**3/2 + s**2 - 46*s. What is the remainder when 24 is divided by a(q)?
3
Suppose -406*o = -123*o - 1416698. What is the remainder when o is divided by 22?
12
Suppose 0 = 5*p + 229 - 724. Suppose c - 158 = -z, 2*c + 6*z - 298 = 10*z. Calculate the remainder when p is divided by ((-56)/(-5))/(62/c).
15
Suppose -6*v + 5*y = -22746, 0 = -3*v + 4*y + 518 + 10846. Calculate the remainder when v is divided by 100.
96
Let o(r) = 1 + 24*r - 5 + 2*r**2 + 2 + 6. Let b be o(-12). Suppose -b*a = -4*d - 412, 3*d + 50 = a - 45. What is the remainder when a is divided by 12?
11
What is the remainder when 265 - (9 + -2 - 12) is divided by 13?
10
Suppose -3*q + 2*j = 2*q + 73, 5*q = -4*j - 49. Let m = q + 17. Let o(d) = 29*d + 90. Calculate the remainder when m is divided by o(-3).
1
Let f be (-2)/(-7) - (-280)/49. Calculate the remainder when -5 + 434/4 - 14/28 is divided by 2/(-3*f/(-189)).
19
Calculate the remainder when 1609 is divided by (((-100)/80)/(1/2))/((-10)/344).
61
Let l(m) = 23*m**2 + 17*m + 128. What is the remainder when l(6) is divided by 107?
95
Let q(g) = g**3 + 39*g**2 - 35*g - 111. Let p be q(-40). Let k = -216 - p. Calculate the remainder when 662 is divided by k.
92
What is the remainder when 4931 is divided by ((-1)/2*-3)/(-21 - (-1905)/90)?
8
Let f = 432083 + -432066. Suppose i - 3*p - 228 = 0, 4*i + p + 4*p - 946 = 0. Calculate the remainder when i is divided by f.
13
Suppose -21*t + 20*t + 43 = -3*y, 2*t - 6 = y. Let u(q) = -q**2 - 5*q + 6. Let v be u(5). Let z = y - v. Calculate the remainder when z is divided by 10.
8
Let c = -89 - -177. What is the remainder when c is divided by 28?
4
Let v be (28/6)/(22/165). Suppose m + 4*r = 39, 5*r - v = 31*m - 32*m. Calculate the remainder when m is divided by 14.
13
Suppose 0 = 31*j - 28*j - 216. What is the remainder when j is divided by 0 - (-45)/15 - -56?
13
Suppose 1902 = 2*r + 4*h, 0*h - 5*h + 25 = 0. Suppose -8*s + 1109 = r. Calculate the remainder when s is divided by 9.
3
Let a = 43 - 25. Let g(x) = -5*x + a + 0 + 2*x + 17. What is the remainder when g(-11) is divided by 10?
8
Suppose -4 = -b - 0*l - 3*l, 3*b - 2*l - 12 = 0. Suppose 6*p - b*m = 3*p + 350, -4*p + 468 = -5*m. Calculate the remainder when p is divided by 5.
2
Let p = 295 - 305. Calculate the remainder when 12 is divided by (-1)/8*-20*(-8)/p.
0
Calculate the remainder when (-658)/188 + (-582)/(-4) is divided by -1 + (-9)/((-9)/14).
12
Let p(t) = 3*t**3 - t**2 - 2*t - 1. Let q be p(0). Let x(o) = -6*o**3 - 2*o**2 - 10*o - 9. What is the remainder when 24 is divided by x(q)?
4
Let a(s) = -25*s + 46. Let y be a(-3). Calculate the remainder when y + ((-39)/(-273) - (-34)/7) is divided by 72.
54
Suppose 29*u + 2884 + 2836 = 55*u. What is the remainder when 412 is divided by u?
192
Let j = -1108 + 1121. Let f = 116 + -101. What is the remainder when f is divided by j?
2
Let s(u) = u**2 - 36*u + 591. Let q = -74 - -140. Calculate the remainder when s(0) is divided by q.
63
Let v be (-8)/12 - 16/(-6). Suppose -a - 65 = -3*n - 3*a, -v*a + 111 = 5*n. Calculate the remainder when (-8)/(-68)*363324/312 is divided by n.
22
Suppose 3*w - 8 - 13 = -3*k, 16 = 3*k + 2*w. Suppose -v + 108 = 4*f, -v = k*f + 31 - 135. What is the remainder when v is divided by 27?
19
Let w(t) = t**3 - t**2 - 11*t + 5. Let r(p) = 7*p + 11. Let i be r(4). Let s = i + -35. Calculate the remainder when 32 is divided by w(s).
5
Suppose 131*p + 58*p - 9260 - 2269 = 0. What is the remainder when 133 is divided by p?
11
Let n(l) = l**3 + 8*l**2 + 6*l + 2. Suppose -3*i = -3*k + 36, -2*i - 3*i - 25 = 2*k. Calculate the remainder when n(i) is divided by (-1 - -1) + -2 - -5.
0
Suppose 0*v + v = 15. Suppose a - 36 - 109 = -n, -v = -5*a. Suppose 4*u - n = -4*w + 34, -5*w + 260 = -3*u. Calculate the remainder when w is divided by 17.
15
Suppose 5*s + 3 = p + 17, -s - 5*p = 18. Suppose -4*u + 20 = u, 4*m - s*u = 232. Let t = 71 - m. Calculate the remainder when 54 is divided by t.
10
Suppose -x + 21 = -0*x. Suppose 5*p - 540 = -2*m, 2*m - 3*m = 2*p - 216. What is the remainder when x is divided by p/24 + -5 + 13/2?
3
Let y = 28 - -20. Suppose -2*r + 20 = 0, -5*r + 54 = 4*j - 68. Calculate the remainder when y is divided by j.
12
Calculate the remainder when 1249 is divided by 60/35*1848/48.
61
Let f(t) = 0 + 846*t**2 - 4 - 845*t**2 + 2 - t. Calculate the remainder when 157 is divided by f(-7).
49
Let v = -2261 + 2296. Calculate the remainder when 317 is divided by v.
2
Let c(p) = -12*p**3 + 0 + 5 + 6*p**2 + 4*p + 11*p**3. Let d be c(5). What is the remainder when 94 is divided by d*((-25)/(-10) + -2)?
19
Let y(h) = -h**2 - 4*h + 144. Let t be y(-14). Suppose r - 14 = -i, 0 = -i - t*r - 4 + 30. What is the remainder when 29 is divided by i?
9
Suppose 2*p - 560 = -2*s, -s + 2*s + 4*p - 298 = 0. What is the remainder when s is divided by 15?
4
Suppose 5 = 2*r + 7, 0 = 3*x - 5*r - 68. Let t = x + -17. Suppose 9*q - 170 = t*q. What is the remainder when q is divided by 12?
10
Let t be (-7)/((-56)/(-6))*-4. Suppose -30*j + 5*c + 499 = -26*j, -t*j = -3*c - 378. Calculate the remainder when j is divided by 42.
5
Let v(w) = -w**2 + 29*w - 35. Let u = -304 + 331. Let s(t) = t - 5. Calculate the remainder when v(u) is divided by s(9).
3
Suppose 13