= 4*t - 4*l, -2*t + 3*l = -0*t - 12. Let c(d) = 17*d + 1. What is the remainder when c(t) is divided by 31?
30
Suppose -202*h - 31*h + 8960 = -9*h. Suppose 0*z - 69 = -z. Calculate the remainder when z is divided by h.
29
Let h = -1289 + 4148. Calculate the remainder when h is divided by 8.
3
Suppose -2*l + 12 = -90. Let j = 20682 + -20663. Calculate the remainder when l is divided by j.
13
Suppose 29*q = 249 + 244. Suppose 0 = r + r - 92. Calculate the remainder when r is divided by q.
12
Suppose 112 = 2*y - 5*y + 286. What is the remainder when 969 is divided by y?
41
Let d be (-3)/(-4) - (-2193)/(-172). Let m(k) be the second derivative of k**4/6 + 4*k**3 + 13*k**2 + k. Calculate the remainder when 87 is divided by m(d).
9
Suppose -4*n + 54 = 5*x, 2*n - 15*x + 12*x = 16. Suppose n*r - 19*r = -528. What is the remainder when r is divided by 5?
1
Suppose 3*z = -12, -8*l + 5*l + 5*z = -104. What is the remainder when 1286 is divided by l?
26
Let u(m) = -2*m**2 - 3*m + 784. What is the remainder when 641 is divided by u(-18)?
71
Suppose 0 = j - 196 + 15. Suppose -c + 4*u = -j, 0 = 4*c - 5*u + 70 - 761. Let w = c - 111. Calculate the remainder when w is divided by 20.
18
Let i = -6 - -9. Let t(v) = v**3 - 2*v**2 + 8*v - 14. What is the remainder when t(i) is divided by 4?
3
What is the remainder when 37/((-5328)/(-3504)) + ((-4)/3)/1 is divided by (0 - 17)*-3*(-1)/(-3)?
6
Suppose -2*d + 38 = k, 0 = -5*d + 2*d - 4*k + 62. Suppose -37 = -3*q + 2*q + a, 0 = -3*q - a + 95. Calculate the remainder when q is divided by d.
15
Suppose 85 = -19*v + 256. What is the remainder when 309 is divided by v + (-138)/6*-3?
75
Suppose 262*w - 28221 = -2969 + 9856. Calculate the remainder when 1203 is divided by w.
131
Let l(i) = i**3 + 17*i**2 - 16*i + 22. Let v be l(-19). Let w = v + 405. Calculate the remainder when 22 is divided by w.
4
Suppose -355*g + 4700529 - 666093 + 10087109 = 0. Calculate the remainder when g is divided by 18.
17
Let d be 170/30 + (-4)/6. Suppose -9 = d*s + 6. What is the remainder when s/9*(29 + 4)*-3 is divided by 17?
16
Let r = -303 + 308. Suppose 0 = -2*i - 0*w + 5*w + 35, 3*i = r*w + 65. Calculate the remainder when i is divided by 16.
14
Let w = -151676 + 151952. What is the remainder when w is divided by 33 + (-1 - 0 - -3)?
31
Suppose 223*i - 212*i - 15653 = 0. What is the remainder when i is divided by 15?
13
What is the remainder when 304 is divided by 77 + (3 - (4 - (-18)/(-3)))?
58
Suppose 62 = 2*m - 2. Suppose -h = 3*r - 1 + 6, 3*h - 9 = 3*r. Let z(b) = 11*b. What is the remainder when m is divided by z(h)?
10
Let p = -11373 - -12043. What is the remainder when p is divided by 219?
13
Suppose -7 + 87 = y - 3*s, 4*s = -5*y + 362. What is the remainder when 515 is divided by y?
71
Suppose -39*w = -33*w + 6. What is the remainder when 266 is divided by 1 + (-174)/(-7 - w)?
26
Suppose 8*u - 4*u + 20 = 0. Suppose -3*v - 40 = -4*v. What is the remainder when v is divided by ((-2)/(-2))/(u/(-30))?
4
Let m = 97 - 42. Let o(i) = -146*i - 710. What is the remainder when m is divided by o(-5)?
15
Suppose -20 = -3*j - 2*j. What is the remainder when (7/(3 - j))/(3/(-12)) is divided by 16?
12
Suppose 3*y + 2*t = 73 + 69, 4*t - 192 = -4*y. Suppose -f + 5*f - 141 = -d, -3*f + 5*d = -77. Calculate the remainder when y is divided by f.
12
Suppose -4*z - 1451 = -5*m, -3*z = -2*m - 0*z + 579. Let l = -135 + m. Calculate the remainder when l is divided by 3*5*8/3.
36
Let p be 3*23*(-2)/(-6). Suppose 4*g = 13 + p. Suppose 8*x = g + 23. Calculate the remainder when 7 is divided by x.
3
Suppose -24*s = 568 - 2776. What is the remainder when 3674 is divided by s?
86
Suppose 3 = -17*a + 37. Calculate the remainder when 13 is divided by (-1)/10 - (a - 81/10).
1
What is the remainder when 35 is divided by -9*(-8 - 825/(-135))?
1
Suppose -j - 3120 = -4*i, -5*j - 3028 = -5*i + 12557. Calculate the remainder when j/(-28) + (36/42)/(-3) is divided by 38.
35
Let b = -378 - -767. Let v = b - 328. Calculate the remainder when 74 is divided by v.
13
Let j(c) = c + 12. Suppose -4*x + s + s - 62 = 0, 0 = -3*x + 5*s - 64. Let w be j(x). What is the remainder when -8*(-5 - w) + -3 is divided by 10?
9
Let b(c) = -38*c**3 + 10021 - 38*c**3 - 2*c - 4*c**2 + 0*c - 10016. Calculate the remainder when b(-2) is divided by 121.
117
Let x be 166*4/((-24)/(-33)). Suppose -3*y - 788 = -4*r, 4*r = -5*y - 125 + x. What is the remainder when r is divided by 63?
8
Let m = 86 - 46. Suppose 13*j = 10*j - 48. What is the remainder when 377/5 + j/m is divided by 20?
15
Suppose 0 = -1740*o + 1730*o + 790. Calculate the remainder when 789 is divided by o.
78
Let k = -38283 + 39363. Calculate the remainder when k is divided by 358.
6
Let x = -11 + 41. Suppose -h - 4*k + 3 = 6, -4*h + 5*k = -x. Suppose -h*b + 12 = -18. Calculate the remainder when 22 is divided by b.
4
Let p = -20462 - -20636. Calculate the remainder when 361 is divided by p.
13
Let s = 37 + -13. Suppose 25*o = s*o + 17. Suppose -4*p = -3*n - o + 70, p = -2*n + 28. What is the remainder when 59 is divided by n?
14
Let t = 7269 + -6871. Calculate the remainder when t is divided by 103.
89
Let d(j) = 70*j - 108*j**2 - 1 + 140*j**2 - j**3 - 16. Calculate the remainder when 249 is divided by d(34).
45
Suppose 0 = 17*v - 55 - 13. Suppose -6*y + 143 = -5*y. Calculate the remainder when y is divided by v.
3
Let p(x) = -2*x - 28. Let j be p(-19). Suppose 3*c + 34 = -3*q + 2*q, 5*c = j. Let o = q + 90. Calculate the remainder when o is divided by 13.
11
Let g = -48 + 75. Suppose 3*i = 3, -2*w - 201*i + 24 = -205*i. What is the remainder when g is divided by w?
13
Suppose -5*d = 3*a - 90, -80 = 2*d - 6*d - 4*a. What is the remainder when 177 is divided by (-748)/(-12) + 1/(d/10)?
51
Let h(y) be the second derivative of -y**5/5 + y**4/12 - y**3/6 + y**2/2 - 23*y. Let d be h(1). Calculate the remainder when 37 is divided by d/(3/(-8)) + 3.
4
Let k = 362 - 359. Suppose k*b = 2*x + 82, 4*b - 5*b = -x - 26. Calculate the remainder when 114 is divided by b.
24
Let a(n) = n**3 - 24*n**2 + 27*n + 55. Let t(h) = -h**3 + 35*h**2 - 33*h - 11. Let j be t(34). Calculate the remainder when a(j) is divided by 19.
14
Let m(q) = -q**3 - 19*q**2 + 1092*q - 20. What is the remainder when m(-44) is divided by 5?
2
Let t(g) = -g**3 - 3*g**2 - 2*g - 33. Let x(m) = -m**3 - 5*m**2 + 4*m - 19. Let s be x(-6). What is the remainder when t(s) is divided by 45?
42
Let s = -2 + 0. Let t = s + 17. Suppose 7*w - 196 = -0*w. What is the remainder when w is divided by t?
13
Suppose 0 = 2*h - 3*v - 2 - 0, 10 = h + 3*v. Let t(j) = 130 - 9*j - h*j - 16 + 16*j. Calculate the remainder when t(0) is divided by 9.
6
Calculate the remainder when 505 is divided by ((-47)/(-3))/((-16)/72*(-3)/4).
35
Suppose -4*o - 20 = 3*i, 4*i = o - 4*o - 8. Let w(r) = -r**3 - 6*r**2 - 3*r + 20. What is the remainder when 2/(-4) + (-316)/o is divided by w(-5)?
9
Suppose 816 = -187*w + 211*w. Calculate the remainder when 66 is divided by w.
32
Let g(f) = -132*f**3 - 11*f - 11. Let u(k) = -k**3 - 10*k**2 + 7*k - 10. Calculate the remainder when g(-1) is divided by u(-11).
30
Let h(j) = 348*j - 965. Calculate the remainder when 1577 is divided by h(3).
76
Suppose 0 = 4*l + 8, 3*l + 78 = 2*x - 0*l. What is the remainder when 2267 is divided by x?
35
Let w = 46 + -24. Let c be (-3288)/(-40) - (-1)/(-5). Suppose -2*d = h - 39 - c, d = h - 136. What is the remainder when h is divided by w?
21
Suppose -17771 = -25*o + 54. What is the remainder when o is divided by 143?
141
Calculate the remainder when (-2 - -9)*(-645404)/(-658) is divided by 15.
11
What is the remainder when 69 is divided by 1*31 + (-16 - (-180)/20)?
21
Let h = -47 - -85. Let j(o) = o**2 - 54*o - 2615. Calculate the remainder when h is divided by j(-31).
18
Let o be 6/(-15) - (-1)/((-5)/3). What is the remainder when 23 is divided by 7 - (4/2 + o)?
5
Suppose -3*z - 3*y = -24, 4*y - 2*y = -4. Suppose -4*h - z = -6*h. Suppose 270 = h*f - 55. Calculate the remainder when f is divided by 17.
14
Let v = 288 + 69. Suppose 0 = -361*n + v*n + 8. Calculate the remainder when 5 is divided by n.
1
Let z(x) = -11*x - 12. Let k be z(5). What is the remainder when 82 is divided by k/4*-1 - 2/(-8)?
14
Suppose 70 = 5*v - 5*u, -3*u = 4*v - 