51. Let r(l) = 14*l - 79. Calculate the remainder when c is divided by r(6).
1
Let s = 47 - 42. Let b = -80 + 114. What is the remainder when b is divided by s?
4
Let h = -61 + 60. Let j = h - -119. What is the remainder when j is divided by 30?
28
Calculate the remainder when 16 is divided by (-42)/(-9)*36/14 - 3.
7
Let q be ((-224)/48)/(4/(-6)). Let d(h) = 17*h - 14. Calculate the remainder when d(q) is divided by 28.
21
Let x = -53 - -104. What is the remainder when x is divided by 18?
15
Let y(v) = -3 + 2 - 12*v**3 + 0*v + 6*v - 4*v. Let m be y(1). Let u = m - -17. Calculate the remainder when 22 is divided by u.
4
Let a(h) = 50*h**3 - 4*h**2 - 3*h + 1. Let w(u) = -101*u**3 + 7*u**2 + 5*u - 2. Let b(s) = 7*a(s) + 4*w(s). Calculate the remainder when b(-1) is divided by 14.
12
Let d(v) = -7*v + 41. Let g be d(-11). Suppose 0 = -71*c + 69*c + g. Calculate the remainder when c is divided by 1 + 20 + 0 + -1.
19
Let v = -58 + 97. Let n be v + 1 + (-6 - -7). Suppose -3*x + n = 8. What is the remainder when x is divided by 7?
4
Suppose 0 = -4*g + 184 + 192. Let l = 113 - g. Calculate the remainder when 53 is divided by l.
15
Let k(y) = -81*y + 528. Calculate the remainder when 155 is divided by k(6).
29
Suppose -3*l - 51 = -5*j, -6*j + 9*j = -4*l + 48. Calculate the remainder when 70 is divided by j.
10
Let z(f) = -f**3 + 2*f**2 + 3*f - 2. Let a be z(3). Calculate the remainder when (-688)/(-8)*a/(-4) is divided by 15.
13
Suppose -26*b + 44*b = 270. Calculate the remainder when b is divided by 6.
3
Suppose -48 = -z + 50. Let h(b) = -b**3 - b**2 + 11*b + 2. Let j be h(-4). Suppose -j*y + 198 = -0. What is the remainder when z is divided by y?
32
Let a = -16 + 14. Calculate the remainder when ((-5)/10*3)/(a/48) is divided by 19.
17
Let j be -1 + (-6)/3 - (13 + -15). What is the remainder when (-14)/j + 4 + 12/(-6) is divided by 7?
2
Let p(z) = -37*z**3 + 2*z + 1. Let x be p(-1). Suppose -2*o + x = i, 3*o - 27 = 2*o - 5*i. Calculate the remainder when 4/(-8) - 262/4*-1 is divided by o.
14
Suppose 0 = 3*s + 4*s - 588. Calculate the remainder when s is divided by (-1)/6 + 518/12.
41
Let o(w) be the second derivative of -13/2*w**2 - 4*w - 2/3*w**3 + 0. What is the remainder when 20 is divided by o(-6)?
9
Suppose -2*g + 4*s + 61 = s, 2*g + s = 73. Calculate the remainder when 44/2 + (-7)/((-21)/6) is divided by 10/g + 178/14.
11
Suppose 2*m = 4*m - 24. Let g be (-14)/(-28)*(7 + -1). Calculate the remainder when (1 - 0)*(g - -19) is divided by m.
10
Let a(y) be the third derivative of 7*y**4/12 + 41*y**3/6 - 16*y**2. What is the remainder when a(9) is divided by 42?
41
Let c = 5 + 33. Let f = 110 - 116. Let a = c - f. Calculate the remainder when a is divided by 12.
8
Let f = 117 - 80. What is the remainder when f is divided by 15?
7
Suppose 0 = 4*s + 3*a - 46, a - 8 + 46 = 4*s. What is the remainder when 48 is divided by s?
8
Suppose n + 4*o - 29 = 0, -o - 35 = -5*n + o. Let w = 93 - 67. What is the remainder when w is divided by n?
8
Let f(h) = -2*h**3 + 8*h + 4. Let v be f(-2). Suppose k + 6*z = 9*z + 40, -v*z + 80 = 4*k. Calculate the remainder when k is divided by 15.
10
Suppose 5*t + 2*h - 3 - 3 = 0, -4*t - 9 = -3*h. Let l = 2 + t. What is the remainder when 3 is divided by (l - 4)*6/(-4)?
0
Suppose -2*g = -g - 41. Calculate the remainder when g is divided by 3.
2
Suppose 5*p = 9*p - 12. Let j = 17 + p. Calculate the remainder when 56 is divided by j.
16
Suppose 2*k = 3*b - 2180, 3629 = 5*b + 101*k - 100*k. Calculate the remainder when b is divided by 61.
55
Let f = 88 + -86. Let z(g) = g**2 - 2. Let c be z(2). Calculate the remainder when 12*(5/c + -2) is divided by f.
0
Let i = -6 - -6. Let y(b) = -b + 17. Let d be y(13). Suppose i = -d*m - 3*l + 108, -m - 2*l + 11 = -21. Calculate the remainder when 69 is divided by m.
21
Suppose 4*r - 145 = -3*l, 0 = l - 3*l + 3*r + 125. Suppose -7*s + 99 = -l. Calculate the remainder when 31 is divided by s.
9
Let k be 468/(-30) - 6/(-10). Calculate the remainder when (-2)/10 - 393/k is divided by 8.
2
Let g(q) be the first derivative of 17*q**2/2 + 7*q - 1. Let a(y) = 24*y - 233. What is the remainder when g(5) is divided by a(11)?
30
Suppose -291*n + 288*n = -282. Calculate the remainder when n is divided by 9.
4
Suppose 12*s = 11*s - 7. Calculate the remainder when 6 is divided by (-24)/7 - -4 - 10/s.
0
Let a(d) = 26*d**2 + 5*d + 5. Calculate the remainder when 180 is divided by a(-1).
24
Let k = 14 + 8. Let m be 44/2 - (-4 + 0). Let j = m - -39. Calculate the remainder when j is divided by k.
21
Let r = 34 + -17. Suppose q - 4*a + 88 = 1, -4*a - 339 = 5*q. Let i = q + 120. Calculate the remainder when i is divided by r.
15
Suppose f + 5*q = 78 - 42, -88 = -5*f - 2*q. Calculate the remainder when 89 is divided by f.
9
Suppose 84 = 5*f - 6. Let o = -1 - 0. Calculate the remainder when 0 - -33 - (-1 - o) is divided by f.
15
Suppose 0 = 3*j - 5*k + 48, -2*j - 32 = 2*k + k. Let d be ((-3)/(-2))/((-8)/j). Calculate the remainder when (-341)/(-22)*(d + -1) is divided by 17.
14
Let g(r) = r**3 + 6*r**2 - 9. Let y be g(-5). Suppose m - y = 61. Suppose -m = -5*j + 4*s, -5*s = -3*j + 70 - 29. What is the remainder when 49 is divided by j?
15
Let n(j) = -83*j**3 + j + 4. Let z(c) = 82*c**3 - c - 3. Let d(t) = -3*n(t) - 4*z(t). Calculate the remainder when d(-1) is divided by 16.
14
Suppose -4*u = 27 - 87. Suppose -2*z + 24 = 2*z. What is the remainder when u is divided by z?
3
Let d(h) = h**3 + 7*h**2 - 3*h - 1. What is the remainder when d(6) is divided by 57?
50
What is the remainder when 311 is divided by 6/351*9 + (-2076)/(-26)?
71
Let z(o) = 4*o**2 + 19*o - 2. Let y be z(-8). Let u = y + -47. What is the remainder when u is divided by 20?
15
Let c(d) = -29*d - 445. What is the remainder when 88 is divided by c(-16)?
12
Let f(p) = 62*p + 22. Let z be f(3). What is the remainder when 41 is divided by z/15 + (-2)/(-15)?
13
Suppose 3*z + 4*s = -26, -4*z = -0*s - 2*s + 20. Calculate the remainder when 84 is divided by 35/6 + z + (-181)/(-6).
24
Suppose 4 = -4*w - 8. Let y be 5*(4 - w/(-1)). Suppose -q + 5*q + y*p = 93, 4*q = 2*p + 58. What is the remainder when q is divided by 3?
2
Calculate the remainder when (4 - (-800)/15)*(-9)/(-6) is divided by 10.
6
Let k(v) = 34*v**3 + v**2 - v + 1. Let n(d) be the third derivative of -35*d**4/24 - d**3/6 - 4*d**2. What is the remainder when n(-2) is divided by k(1)?
34
Let x = -10 + 30. Suppose 0*v - 20 = 5*v, -o + x = -3*v. What is the remainder when 23 is divided by o?
7
Let s = 18 + -12. Suppose 0 = 2*v - 7*t + 8*t - 8, 0 = -t. What is the remainder when s is divided by v?
2
Let g(r) = -356*r**3 + r**2 - 1. What is the remainder when g(-1) is divided by 20?
16
Suppose 42 = 5*t - 4*d - 146, -5*d + 95 = 2*t. Calculate the remainder when 78 is divided by t.
38
Suppose -y = -0*y + 2*g + 4, 2*g + 10 = 0. Suppose y*r - r - 5 = 0, -4*r = -4*s + 16. What is the remainder when 13 is divided by s?
3
Suppose k + 5*h - 55 - 16 = 0, -2*h = -k + 85. Suppose -5*y = -41 - 4. What is the remainder when (-18)/k + 416/y is divided by 24?
22
Suppose -8*m + 13*m + x - 150 = 0, 4*m - 120 = -3*x. What is the remainder when 508 is divided by m?
28
Suppose -8*i + 2*i + 798 = 0. Calculate the remainder when i is divided by ((112/6)/(-2))/(4/(-12)).
21
Suppose 3*r - 5*h + 4*h - 68 = 0, -2*r + 27 = 3*h. Suppose -3*n + r = -21. Calculate the remainder when (3 - 81/18)/(2/(-52)) is divided by n.
11
Suppose -9*i - 468 = -45*i - 3*i. Calculate the remainder when i is divided by 70/9 + 6/27.
4
Let c(f) = -4 + 1 - 2*f + 2 - f**2 - f**3 + 0*f. Let y be c(2). What is the remainder when 78 is divided by 2 - 1*(-1 + y)?
18
Let m(o) = 2*o**2 - 9*o + 8. Let k be m(4). Suppose 0*q + k*q = 28. What is the remainder when 18 is divided by q?
4
Suppose -2*k + 12 = 2. Suppose -4*u + 49 = k. Calculate the remainder when 32 is divided by u.
10
Let o be (5/2)/((-9)/(-18)). Suppose -h + 14 = -4*y - o, 4*h = y + 31. What is the remainder when 33 is divided by h?
5
Let l(f) be the first derivative of 3*f**4/2 - 4*f**3/3 + 3*f**2/2 + f + 18. Calculate the remainder when 155 is divided by l(2).
38
Suppose -3*g + r = 5*r - 119, -89 = -3*g + 2*r. Let h = 66 - 30. Let t = -19 + h. Calculate the remainder when g is divided by