2*u + 3. Calculate the remainder when w(-2) is divided by j.
15
Let p = 0 - 15. Let i(y) = y**3 + 14*y**2 - 16*y - 15. Let l be i(p). Suppose s = -l*s + 85. What is the remainder when s is divided by 11?
8
Suppose 5156 = 30*y + 356. What is the remainder when y is divided by 28?
20
Let v be (-120)/(-18) - 6/9. What is the remainder when (-56)/(-1) + -1 + v/2 is divided by 15?
13
Let z(k) = 8*k - 28. Suppose -n = 3*u - 36, 12*n - 3*u = 8*n + 69. Calculate the remainder when z(21) is divided by n.
14
Suppose 4*v + 72 = 3*b - 285, 5*v - 445 = -4*b. Calculate the remainder when b is divided by 57.
1
Suppose -1642 + 2118 = 28*m. What is the remainder when 2409 is divided by m?
12
Let l(t) = -t**3 - 3*t**2 + 3*t - 5. Suppose -57 + 113 = -7*k. What is the remainder when (-304)/40*60/k is divided by l(-5)?
27
Suppose t + 11 = 14. Suppose 4*u + 80 = -3*p, -t*p - u = u + 76. What is the remainder when (-2900)/(-22) - p/132 is divided by 19?
18
Suppose 82 = a - c, -7*c - 418 = -5*a - 6*c. Suppose -89*p = -a*p - 140. Calculate the remainder when p is divided by 4.
0
Suppose 4*z = 2*o - 1616, -902*z = -5*o - 903*z + 4051. Calculate the remainder when o is divided by 28.
26
Suppose 5*z = -q + 37, -q - 31*z + 28 = -29*z. Calculate the remainder when 505 is divided by q.
21
Suppose 5*w = -n + 52 + 9, 63 = n + 3*w. Calculate the remainder when n is divided by 48.
18
Suppose -924 = 8*l - 2*l. Let c be l/(-28) + 10/(-4). Suppose 72 = 2*n - 5*p - 51, c*n - 2*p = 179. What is the remainder when n is divided by 10?
9
Suppose -10*t + l + 1008 + 13057 = 0, -5*l = -2*t + 2837. Calculate the remainder when t is divided by 131.
96
Suppose -481*v = -485*v + 3*s + 1380, -2*v + 2*s + 694 = 0. Calculate the remainder when 2036 is divided by v.
2
Let x = 11343 - 11233. Calculate the remainder when 536 is divided by x.
96
Suppose 465 = -2*y + 455, 487 = r - 2*y. What is the remainder when 492 is divided by r?
15
Suppose 0 = -4*g + 2*t + 618, 3*g - 3*t - 639 = -171. Calculate the remainder when 197 is divided by g.
44
Suppose -v + 4*v = i - 11283, v + 3772 = 4*i. What is the remainder when 6/(-45) - v/75 is divided by 15?
5
Let b be (-2)/6 + (-672)/(-126). Suppose b*i = -0*i - 4*z + 50, 4*z = i - 10. Calculate the remainder when 69 is divided by i.
9
Let l(a) = -9*a**2 - 8*a - 15. Let q be l(-3). Let k = 74 + q. Suppose -k*w = t + 4, 4*t + 7*w + 1 = 2*w. What is the remainder when 11 is divided by t?
5
Calculate the remainder when (574/35 + -4)/((-5 - 1)/(-60)) is divided by 70.
54
Let k(x) = -x**2 - x + 38. Let n be k(0). Let g(w) = 101*w + 109. Let m be g(-1). Let c = n + m. Calculate the remainder when 183 is divided by c.
45
Let v = 9227 + -9062. What is the remainder when 306 is divided by v?
141
Suppose 3*q = -3*w - 24, 4*q + 14 = -2*w - 12. Let m(c) = 5*c + 21. Let n be m(q). Calculate the remainder when 28 is divided by ((-4)/(-10))/(n/(-15))*6.
1
Let z(m) = 9*m + 10*m - 16 + 10*m**2 + 23*m + 25 - m**3. Calculate the remainder when 110 is divided by z(13).
14
Let q(r) = -6*r - 2. What is the remainder when q(-6) is divided by ((-4)/(-8))/((-15)/30)*-6?
4
Let n(g) = 25*g + 1893. Calculate the remainder when n(75) is divided by 82.
78
Let k = -3 - -6. Suppose -42336 = 28*n - 43596. What is the remainder when n is divided by k?
0
Let r be 1/((5 - 3)/4). Let x(z) = -6*z - 3*z**r + 7*z**2 + 5*z + 30. Calculate the remainder when x(0) is divided by 7.
2
Let h(y) = 1230*y + 175. What is the remainder when h(1) is divided by 19?
18
Let m be (-6)/(-15) + 26720/(-50). Let x be m/2*5/(-15). Suppose 63 = -2*n + x. Calculate the remainder when n is divided by 5.
3
Suppose -4*j - 23*j + 105 = -6*j. What is the remainder when (1480/30)/((-2)/(-3)) is divided by j?
4
Let g = 2128 + -2016. What is the remainder when g is divided by 46?
20
Let h(l) = -l**2 + 26*l + 27. Let q be h(27). Suppose q = 2*i + 74 - 388. Calculate the remainder when i is divided by 79.
78
Let d(z) = -12*z + 129. Let h be d(6). Calculate the remainder when 63 is divided by (-5 - 1) + h + -13.
25
Suppose -144 + 1884 = 12*w. What is the remainder when w is divided by 18/(((-64)/(-112))/(10/7))?
10
Let z(i) = -6*i - 170. Suppose -3*n + 0*f = 4*f + 115, -2*n - 2*f = 76. Calculate the remainder when z(n) is divided by 5.
2
Let o(s) = -5*s + 9. Let x be o(6). What is the remainder when (-1390)/(-35) + ((-18)/x)/3 is divided by 7?
5
Let u(k) = 2*k**3 - 366*k**2 - 367*k - 99. Calculate the remainder when u(184) is divided by 63.
22
Let p = -801 - -1247. Suppose 436 = 22*y - 466. Calculate the remainder when p is divided by y.
36
Suppose -3*v - 14 = -4*s, -5*v - 51 + 18 = 3*s. What is the remainder when 27 is divided by v - (-2 - -3 - 26)?
8
Let a = -20 + 81. What is the remainder when a is divided by 177/118*14/1?
19
Suppose -6*l - 3 = -5*l. What is the remainder when 83 is divided by ((-12)/8)/(11/4 + l)?
5
Suppose 9 - 1 = 4*r. Suppose r*i + 38 + 16 = 4*v, -60 = -5*v + i. Suppose v*f = 3*f + 568. Calculate the remainder when f is divided by 19.
14
Suppose 20 = -19*k + 6*k + 1164. Calculate the remainder when 895 is divided by k.
15
Let f be 0 + 7 - 4 - (-2 + 2). Suppose 60 = -f*z + 141. Calculate the remainder when z is divided by 15.
12
Suppose 4*i + 304*c = 301*c + 167, c = 5*i - 204. Let u(r) = -24*r + 42. What is the remainder when u(-17) is divided by i?
40
Suppose 5*j - 4*k = 368, 4*j + 4*k - 286 = 6*k. Suppose -a = -0*a - 36. Calculate the remainder when j is divided by a.
32
Suppose 5*g + 3*w = w + 890, -g = -5*w - 151. Suppose -3*n - 20 + 112 = -4*r, 0 = -5*n + r + g. Calculate the remainder when 286 is divided by n.
34
Let k(x) = -x**2 + 24*x - 107. Suppose 6*t - 19 - 23 = 0. What is the remainder when 27 is divided by k(t)?
3
Let j = -20706 + 21041. Calculate the remainder when 1006 is divided by j.
1
Suppose 365*a + 5*q = 367*a - 214, 0 = -2*a + 4*q + 218. Calculate the remainder when 125 is divided by a.
8
Let w = -10 + 8. What is the remainder when ((-468)/(-24))/(w/(-4) + 0) is divided by 15?
9
Calculate the remainder when (-390)/(-520) + ((-18)/12)/(6/(-7533)) is divided by 229.
52
Suppose -9610 = -248*r + 2294. What is the remainder when 152 is divided by r?
8
Let v(a) = 58*a - 32*a + 50 - 31*a. Let w be v(5). Suppose 34*r = w*r + 243. Calculate the remainder when 99 is divided by r.
18
Suppose 47*t - 4142 - 8407 = 0. Calculate the remainder when t is divided by 140.
127
Let s(g) = -6*g + 14. Let y be (-3)/(6/22) + 4. Suppose -62*t = -60*t - 38. What is the remainder when s(y) is divided by t?
18
Let r(w) be the first derivative of 3*w**3 + 3*w**2 - 7*w + 47. What is the remainder when 81 is divided by r(2)?
40
Suppose 86 = 2*g + 38. Let j(y) = -y**2 + 24*y + 13. Calculate the remainder when 193 is divided by j(g).
11
Let q = 11564 + -11540. What is the remainder when 549 is divided by q?
21
Suppose -59*z = -64*z - 5*h + 17085, -4*z + 2*h = -13692. Calculate the remainder when z is divided by 1140.
1
Let r = -2136 - -2244. What is the remainder when 701 is divided by r?
53
Let c(k) = -5*k**2 - 8*k - 25. Let a be c(-3). Let p = -34 - a. Calculate the remainder when 58 is divided by p.
10
Suppose -q = 7*c - 8*c + 35, 2*c - 70 = 3*q. Let p = -528 + 876. Calculate the remainder when p is divided by c.
33
Suppose -l + t + 264 = 0, 4*l + 27*t - 1058 = 29*t. Suppose 5*o = 4*z + 247, 16*o + 5*z = 11*o + l. What is the remainder when o is divided by 18?
15
Suppose 2*l - l - 26 = 0. Let v = 23 - l. Calculate the remainder when 196 + 2 + (-4 - v) is divided by 40.
37
Suppose 90*t + 1160 = 119*t. What is the remainder when 703 is divided by t?
23
Let b(o) = 74*o**3 - 48*o**2 - 5*o + 3. What is the remainder when 2084 is divided by b(1)?
20
Let f(o) = -2*o**3 - 6*o**2 - 78*o - 777. Calculate the remainder when f(-9) is divided by 424.
49
Suppose -3*s - 27 = -270. Calculate the remainder when s is divided by ((-8)/12)/((-17626)/(-588) + -30).
25
Let b(g) = g - 3. Let r be b(1). Let t be (40 + -2)*(-3)/(r + -1). Let o = -27 + t. What is the remainder when 21 is divided by o?
10
Suppose 0 = n + n - 40. Let v = n - 14. Suppose 4*j = -0*j + 180. What is the remainder when j is divided by v?
3
Calculate the remainder when 482 is divided by -78 + 81 + (-2 - -9).
2
Suppose 2365 = 12*j - 5663. Calculate the remainder wh