ppose -2631*c - 7995 = -2754*c. Let p(r) = -r**3 + 9*r**2 - r + 8. What is the remainder when p(6) is divided by c?
45
Suppose 10*m = -0*m + 2920. Let k = -268 + m. What is the remainder when 43 is divided by k?
19
Let q = 2105 + -1333. What is the remainder when q is divided by 31?
28
Let k(l) = -8*l - 8. Let y be k(-6). Let w(d) = -3363*d + 26910. Calculate the remainder when y/(-3)*12/(-5) is divided by w(8).
2
Suppose -21 + 3 = -3*f + 3*v, 19 = 2*f + 5*v. Let s(j) = 2*j**2 - 3*j - 17. Calculate the remainder when s(f) is divided by 9.
6
Suppose 6 = 13*n - 16*n. Let m(l) = -2*l - 20. Let v(y) = -y - 10. Let w(u) = n*m(u) + 5*v(u). Calculate the remainder when 3 is divided by w(-11).
0
Suppose -150*p + 2209 + 3473 = -468. What is the remainder when p is divided by 23?
18
Let v = -26 - -78. Let w = -1034 - -2164. Let b = w - 1125. What is the remainder when v is divided by b?
2
Suppose -31070*s + 31063*s = -259. Suppose -4*z + 85 = z. What is the remainder when s is divided by z?
3
Suppose -50*h + 46*h + 2135 - 259 = -3*d, 0 = 5*d. Calculate the remainder when h is divided by 6.
1
Let d = 3597 - 3574. Let t = 15 - -58. What is the remainder when t is divided by d?
4
Let h be 0 + 36/14 + 3/7. Suppose 4*r - h*v - 16 = -0*r, 0 = 3*r - 2*v - 11. What is the remainder when 24 is divided by r?
0
Suppose 0 = -25*s + 6*s + 47177. Suppose -3*d + 16*d = s. What is the remainder when d is divided by 32?
31
Let v = -2314 + 2468. What is the remainder when v is divided by 52?
50
Let c = 40 - -10. Let j = -10 - -20. Suppose -5*l = -15, 27 + j = 2*m + 5*l. Calculate the remainder when c is divided by m.
6
Let i(t) = -5*t**3 - 39*t**2 - 79*t - 37. Calculate the remainder when i(-9) is divided by 146.
138
Let h = 541 + -537. Suppose h*x - 461 = -5*i, 3*i - 45 = -5*x + 242. What is the remainder when i is divided by 23?
20
Let w = 7 - -15. Let q = -21 + -19. Let m = 23 - q. What is the remainder when m is divided by w?
19
Let s(b) = b**3 - 100*b**2 + 289*b + 296. Calculate the remainder when 584 is divided by s(97).
74
Let k = 66 + -114. Let u = -12568 + 12482. Let f = k - u. What is the remainder when f is divided by 15?
8
Let z = -1995 - -2041. What is the remainder when 13521 is divided by z?
43
Suppose -8*u = -4*u + z - 419, 2*u - 223 = -5*z. Calculate the remainder when 271 is divided by u.
63
Let w(q) = -5*q - q**2 - 2 + 17 - 5. Let d be w(-5). Let o(n) = n**3 - 8*n**2 - 17*n - 15. Calculate the remainder when 148 is divided by o(d).
13
Let d(m) = 2*m**2 + 26*m + 15. Let j = -2306 - -2380. What is the remainder when j is divided by d(-13)?
14
Let j = 289 - 289. Suppose j = -f - 5*s - 7, f - s - 4*s - 33 = 0. Suppose 5*w - 4 = -4*y + 8, 4*y = -2*w + 12. What is the remainder when f is divided by y?
1
Suppose -4*b - 2*h - 4 = 20, 3*h + 22 = -4*b. What is the remainder when 208 is divided by 32 + (-21)/(49/b)?
33
Let b = 2744 - 2588. What is the remainder when b is divided by 23?
18
Suppose 6*l + 18 = 30. Suppose l*k - 3*f - 7 = 0, -4*k + 4*f = -0*f - 20. Calculate the remainder when 21 is divided by k.
5
Let n(m) = -15*m + 790. What is the remainder when 1527 is divided by n(47)?
82
Let a be (-2)/(-15) - (146/(-30) + 3). Suppose a*b - 172 = -2*w + 4*w, 3*b = w + 264. What is the remainder when b is divided by 10?
9
Suppose 59 + 140 - 23 = 22*j. Let a be 2/7 - 21324/(-42). Calculate the remainder when (-3)/6 - a/(-8) is divided by j.
7
Let c(d) be the third derivative of d**6/120 + d**5/6 - d**4/24 + 53*d**3/6 - 88*d**2. What is the remainder when c(-7) is divided by 11?
9
Let t be (-3)/18 - (-381)/18. Let i = t + -10. Suppose -9*x - 229*x = 52*x - 1450. What is the remainder when i is divided by x?
1
Let w = 7390 - 3329. Calculate the remainder when w is divided by 1350.
11
Suppose -1044 = -101*j + 72*j. Calculate the remainder when 75 is divided by j.
3
Suppose 42*v = 94*v - 4472. Calculate the remainder when v is divided by 50.
36
Suppose -s + 8726 = 3*u, 13*s - 14*s = 7. What is the remainder when u is divided by 54?
49
Let b(r) be the second derivative of r**5/20 + 5*r**4/6 - r**3/6 - r**2/2 + 13*r. Let p = 79 - 45. What is the remainder when p is divided by b(-10)?
7
Let m(q) = q**2 + 2. What is the remainder when 115 - (-53)/(1166/(-198)) is divided by m(-5)?
25
Suppose -5*y = 223*o - 227*o - 179, -5*y = 5*o - 170. Calculate the remainder when 2098 is divided by y.
33
Let g = -621 - -679. Let o = -23 + 28. Suppose -80 = -o*f + f. What is the remainder when g is divided by f?
18
Let k be 6/(-4)*24/(-18). Suppose 3*g - 3*h = 131 + 91, -2*h + 168 = k*g. Calculate the remainder when g is divided by 19.
3
What is the remainder when 836 is divided by -3 - (-26802)/126 - (-1 - (-15)/21)?
206
Suppose 0 = -18*y + 17*y + 11. Suppose 11*q = -0 + y. Calculate the remainder when 16 is divided by q*11 + (-6)/(-13 - -7).
4
Let h(r) = 788*r - 2269. Calculate the remainder when 125 is divided by h(3).
30
Suppose -3*p + 5606 = 3*f + 473, 9 = 3*f. What is the remainder when p is divided by 57?
55
Suppose 0 = -8*i + 16690 + 2958. Suppose 46*r - i + 340 = 0. Let n(z) = 19*z**2 - 1. What is the remainder when r is divided by n(1)?
10
Suppose 128 = -z - 4*s + 329, 0 = s - 1. Calculate the remainder when 240 is divided by z.
43
Suppose 0 = 14*x - 19*x + 2*m + 3870, 3*m + 15 = 0. Let z = x + -508. What is the remainder when z is divided by 68?
60
Let l(k) = -7*k**3 - 5*k**2 + k + 6. Calculate the remainder when 635 is divided by l(-2).
35
Let c be 3 + (27/3)/3. Suppose w = -2*x + 21, -w + 5*x - 2*x + c = 0. Calculate the remainder when 374 is divided by w.
14
Let b = -483 + 485. Calculate the remainder when 33 is divided by (69/b)/(135/90).
10
Suppose -554*r = -629*r + 85425. Calculate the remainder when r is divided by 88.
83
Let f(c) = 72*c**2 + 56*c + 149. What is the remainder when f(-3) is divided by 45?
44
Let n(m) = -m**3 - 14*m**2 + 2*m - 8. Let l be n(-14). Let q = l + 46. Suppose 4*j = 3*c + 1 + 3, c = -2*j + 12. What is the remainder when q is divided by c?
2
Let h = -2 - -1. Let k(w) = -30*w + 1. Suppose -3*b = -2*r + 182, 2*r - 182 = -0*r - b. Calculate the remainder when r is divided by k(h).
29
Suppose 0*k + 2*k = 4*u + 10, 4*k - 5*u = 26. Suppose 2*j + 419 = 6*b - b, 0 = -3*j + k. Calculate the remainder when b is divided by 18.
13
Let l(q) = -50*q**3 + 4*q**2 + 22*q + 18. Calculate the remainder when 84 is divided by l(-1).
34
Let f = 27268 + -27239. Let m be 58/(-7) - 8/(-28). Let s(d) = -d**3 - 8*d**2 - 2*d - 1. Calculate the remainder when f is divided by s(m).
14
Let z(i) = i**3 - 33*i**2 + 182*i + 104. Let l(s) = -4*s**2 + s - 1. Let y be l(3). Let v = y - -61. What is the remainder when z(26) is divided by v?
23
Let j = -183 - -187. Let f(r) = 28*r + 69. What is the remainder when f(j) is divided by 13?
12
Let f = 60 - 39. Let c(n) = -15*n - 9 + 44*n - 11*n + 9*n**2 - 16*n. What is the remainder when c(3) is divided by f?
15
Let f = -1406 - -717. Let v = 764 + f. Calculate the remainder when 223 is divided by v.
73
Suppose 0 = -4*l + 418 + 198. Let p = -139 + l. What is the remainder when 988 is divided by p?
13
Suppose 57*v - 29*v - 25*v = 726. What is the remainder when 4107 is divided by v?
235
Let g(d) = -d**2 - 62*d + 29. Let o be g(-18). Let y = 859 - o. What is the remainder when 70 is divided by y?
32
Let n(r) = -r**3 + 85*r**2 + 170*r + 389. What is the remainder when n(87) is divided by (-4 + 1)/(3/(-15))?
11
What is the remainder when 5793 is divided by (-419)/(-5) + (-190)/(-950)?
81
Let t be (-2)/(-28) + (-19635)/3234. Let s(x) = 4*x - 4*x + 15 + 12*x - x**3 + 2*x**2. Calculate the remainder when s(t) is divided by 18.
15
Let r = -4288 - -4310. Calculate the remainder when 761 is divided by r.
13
Let z(c) = 2*c**2 + 11*c + 4. Suppose -3*m = 2*r + 6 + 3, -2*r + 5*m = 17. What is the remainder when 56 is divided by z(r)?
6
Let v = -204813 + 204822. Let a = -24 + 87. Let i = 103 - a. What is the remainder when i is divided by v?
4
Suppose 4*l + 16 = -3*c, -5*l + l - 2*c = 12. Let f = -10 - -12. Calculate the remainder when l + 1 + 76/19 is divided by f.
0
Suppose 4318*t = 4282*t + 1332. Calculate the remainder when 14427 is divided by t.
34
Suppose -9*n = -4*n - 15. Suppose 445 = 2*x + n*u, -3*u = -3*x + 220 + 440. What is the remainder 