ppose -247 = -5*f + 2*w + 184, 2*f = -w + 167. Calculate the remainder when 135 is divided by f.
50
Let k be 0 + 7 - 10*(-6)/(-12). Suppose -k*u + 32 = 3*g, -u - 4*g + 68 = 3*u. What is the remainder when 282 is divided by u?
16
Let w(s) = -33*s**2 + 4*s - 3. Let p be w(1). Let h = 895 + p. Calculate the remainder when h is divided by 54.
53
Suppose -8*t + 2120 = 98*t. Suppose 292 = -0*z + 4*z. What is the remainder when z is divided by t?
13
Suppose 33*m - 29*m = 1212. Let a = -287 + m. What is the remainder when 77 is divided by a?
13
Let o(s) = -166*s - 1305. What is the remainder when o(-10) is divided by 98?
61
Suppose -3*q = v - 46, v + 3*v + 40 = 2*q. Suppose 7 - 3 = 2*i, -i = -3*m + 82. Calculate the remainder when (-1 - (-5 - m)) + 9/(-3) is divided by q.
13
Let p be (-4)/3*54/(-36). Suppose -6 - p = -2*a. Suppose -a*d = 2*f - 86, -2*f + 0*d = -5*d - 122. Calculate the remainder when f is divided by 26.
25
Let k(s) = -23*s - 1. Let b = -70 + 72. Suppose 0 = 4*w - 2*w + 4*i - 2, 2*w + b*i = 10. Calculate the remainder when k(-1) is divided by w.
4
Let r(l) = -25*l - 90. Let b be r(-11). Let s = 216 - b. Let y(g) = g**3 - 7*g**2 + 3*g - 10. Calculate the remainder when s is divided by y(7).
9
Let y(z) = 10*z + 23. Suppose -12*q = 8*q - 320. Calculate the remainder when y(q) is divided by 11.
7
Suppose -3752*b + 90060 = -3737*b. Calculate the remainder when b is divided by 33.
31
Suppose 12*p - 509 = -521. What is the remainder when (p + 802)*(-10 + 310/30) is divided by 45?
42
Suppose 28*i - 495 = 23*i. Let m(g) = 122*g + 640. Calculate the remainder when i is divided by m(-5).
9
Let k(j) = 4*j**2 - 394*j - 1376. Calculate the remainder when 16898 is divided by k(102).
50
Let i = 135 + 44. Calculate the remainder when i is divided by 103.
76
Calculate the remainder when -7 - (86/(-215) - (-581)/(-5)*3) is divided by 170.
2
Let i(r) = 5*r - 1. Let a be i(1). Let q(g) = -a + 2 - 3 + 29*g - 1. What is the remainder when q(1) is divided by 8?
7
Suppose 0 = 4*y, 97*o + 4491 = 98*o + 3*y. What is the remainder when o is divided by 29?
25
Let s(q) = 5*q**3 - 44*q**2 + 16*q + 12. Let y be s(10). Suppose 4*h - y = -5*j + 3697, -3571 = -4*j + h. What is the remainder when j is divided by 16?
13
Let w(h) = -h**3 + 49*h**2 + 51*h + 56. Calculate the remainder when 525 is divided by w(50).
101
Let s = 109 - 222. Let m = 252 + s. Let v(q) = 10*q**2 + 3*q + 1. What is the remainder when m is divided by v(-2)?
34
Let g = -160 - -164. Suppose -x + 3*r + 4 = -0*r, -x + g*r = -1. Calculate the remainder when 64 is divided by x.
12
Let y(d) = 109*d + 1308. What is the remainder when 235 is divided by y(-11)?
17
Suppose -29*c + 2740 = -61*c + 10804. What is the remainder when c is divided by 101?
50
Let a(c) = 4 + c + 0 + 5 - 7 + c**2. Let g be a(3). What is the remainder when 53 is divided by g + 3 - (1 + -2)?
17
Calculate the remainder when 647 is divided by -1 - 0 - (-65 + 12 + -7).
57
Let a = 157 + -159. Let o(d) = -2*d**3 + 2*d**2 + 5*d + 5. Calculate the remainder when 113 is divided by o(a).
18
Let d = 54 - 62. Calculate the remainder when (-572)/(-18) - 4/(-18) is divided by -1 + 12/d*(3 - 11).
10
Let g(h) = -h**3 + 7*h**2 - 6*h. Suppose -w = -v - 6, 4*w + 3*v + 3 = -2*v. What is the remainder when 31 is divided by g(w)?
13
Let y be (-149661)/(-2892) - (0 - (-1)/(-4)). Let b be -1*1 + 6 + 0. Suppose -p = -b*p + y. Calculate the remainder when p is divided by 7.
6
Suppose 42*c + 39240 = 122*c - 1240. What is the remainder when c is divided by 202?
102
Let n be -29 - ((-1 - -6) + -10). Let q = n - -48. Let z = 94 - q. What is the remainder when z is divided by 15?
10
Let t(g) = -g**3 - 112*g**2 - 333*g + 8. Calculate the remainder when t(-109) is divided by 142.
94
Let u(c) = -c**2 + 6*c - 10. Let p be u(4). Let v = 67 - 32. Calculate the remainder when 59 is divided by -3 - (-1 - (v + p)).
28
Suppose 2*h - 26 = -5*q + 3*q, 0 = 5*h - q - 35. Suppose 0 = -3*i - h + 29. What is the remainder when 54 is divided by i?
5
Suppose -282 = 5*i - 302. Calculate the remainder when 72/6 - (-3 + 1) is divided by i.
2
Let k = -96 - -98. Let u(v) = v**3 + 12*v**2 - 15*v - 17. Calculate the remainder when (29/k)/(10/20) - -4 is divided by u(-13).
6
Suppose 0 = -3*h + r + 360, -4*r + 634 = -12*h + 17*h. Calculate the remainder when 16713 is divided by h.
121
Suppose -10*n - 10 = -8*n, 0 = 3*a + 3*n - 570. Calculate the remainder when 207 is divided by a.
12
Let o = 13019 - 12502. Calculate the remainder when o is divided by 192.
133
Let s = -726 + 725. Let y be ((-1)/(-2))/(1/4). Calculate the remainder when 6 is divided by (s/y - -1)*8.
2
Suppose -4*s - 7*d = -2*d - 423, 4*d - 420 = -4*s. Calculate the remainder when s is divided by 36.
30
Suppose -12 = -2*v + 532. What is the remainder when 4*(1 + 1)*7412/v is divided by 56?
50
Suppose 0 = 12*b + 3*b + 8*b - 8165. What is the remainder when b is divided by 156?
43
Let d = -162 - -299. Let t(m) = -m**3 + 27*m**2 + 57*m + 75. What is the remainder when d is divided by t(29)?
45
Let o = -92305 + 92380. Let g(a) = -412*a - 1. What is the remainder when g(-2) is divided by o?
73
Suppose -30*a + 337320 - 43440 = 0. Calculate the remainder when a is divided by 70.
66
Let x = -68 + 159. Suppose -2*c + 157 = -x. Let v = -115 + c. What is the remainder when 35 is divided by v?
8
Suppose 20*b - 1060 = -33*b. What is the remainder when (3/3)/((-1)/(-22)) is divided by b?
2
Let c(a) = 2*a**2 - 92*a - 84. Calculate the remainder when 2/(-9) - (-28)/108*267 is divided by c(47).
9
Let x(v) be the first derivative of -v**3/3 + 11*v**2/2 + 5*v + 2. What is the remainder when x(8) is divided by (-110)/66*(-5*1 - 1)?
9
Let q(g) = -g**3 + 36*g**2 - 35*g + 1292. What is the remainder when 548 is divided by q(36)?
4
Let k(y) = y + 1. Let z(p) = p + 2. Let c(d) = -2*k(d) + 3*z(d). What is the remainder when ((-5)/10)/((-26)/3328) is divided by c(14)?
10
Let r(u) = 15*u**2 - 110*u - 209. Calculate the remainder when r(35) is divided by 103.
102
Let f(d) = -2*d**2 + 39*d - 55. Let u be f(17). Suppose u*x - 28*x = -4*v + 90, x - 5*v = 31. Let a = 54 - 28. What is the remainder when x is divided by a?
15
Suppose -4*o = -12, -3*o - 24 = -3*w - 4*o. Suppose -4*k + 900 = 16*k. What is the remainder when k is divided by w?
3
Let k(y) be the third derivative of y**4/24 + 2*y**3 - 7*y**2. Calculate the remainder when 128/14 - 24/168 is divided by k(-9).
0
Suppose 0 = -4*m - 4*i + 44, -4*i + 20 = -3*m + 60. Let j(l) = -l**3 - 26*l**2 - 50*l - 597. Calculate the remainder when j(-25) is divided by m.
4
Let p(s) = s**2 - s. Let h be p(-1). Let d be ((-11 - -5) + 13)/(3/(-6)). What is the remainder when 35 is divided by (-132)/77*d/h?
11
Calculate the remainder when 1849/3 + 3 + (-20)/6 is divided by 102.
4
Let s = -103 - -145. Suppose 42 = k + 13*k. Suppose -2*u = -5*r + 104, 0 = -2*u + 3 + k. What is the remainder when s is divided by r?
20
Suppose 0 = -3*h - 0*h - 2*j + 223, 5*j - 288 = -4*h. Let y = 58824 + -58808. Calculate the remainder when h is divided by y.
13
Let y be ((-104)/(-10))/(40/100). Let g = 1 + y. Suppose n = 5*b - b + 48, 2*b - 106 = -2*n. Calculate the remainder when n is divided by g.
25
Let a(w) = 3*w**2 + 13*w + 56. Let h be a(-13). Suppose -h - 814 = -4*k. What is the remainder when k is divided by 76?
74
Let z(a) = 12*a**3 - 7*a**2. Let j be z(1). Suppose -5*n - 3*t = -0*n - 140, -4*t = -j*n + 140. Calculate the remainder when 164 is divided by n.
24
Suppose g + 2*o - 5*o = 10, 5*g + 45 = -4*o. Let s be -1*g/(10/4). What is the remainder when s - (2 + -6 - 67) is divided by 15?
13
Suppose 5*b + d = 90, -10*b + 7*b = d - 54. Calculate the remainder when 319 is divided by b.
13
Let d be -24 - (8 - (-3 + 7)). Let j(a) = -37*a + 21. Let o be j(2). Let x = d - o. What is the remainder when 123 is divided by x?
23
Let i = -479 + 561. What is the remainder when 5082 is divided by i?
80
Let b(x) = 475*x - 2288. What is the remainder when 8262 is divided by b(5)?
84
Let a(c) = -3*c**3 - 16*c**2 + 5*c - 32. Calculate the remainder when a(-8) is divided by 428.
12
Suppose 35*v - 1980 = 13*v. What is the remainder when v is divided by 24?
18
Calculate the remainder when 391 is divided by 1690/90 - -9 - (-8)/36.
27
Let t = 4064 + -383