 432. Let z(y) = -6*y - 215. Let j(l) = -3*h(l) + 5*z(l). What is the remainder when j(0) is divided by 56?
53
Let c = -205 + 265. Suppose -4*u - 189 = -f, 0 = -2*u - 4*f - 61 - 47. What is the remainder when c is divided by (-2)/6 - 832/u?
9
Suppose -5*i = -178 + 93. Suppose -17*t + 136 + i = 0. What is the remainder when 50 is divided by t?
5
Calculate the remainder when 667 is divided by (-14)/(((-28)/6)/7).
16
Let o(z) = 22*z - 17. Let f be (5 - 5) + 5 + 16/(-4). What is the remainder when (-111)/(-6) - (-2)/4 is divided by o(f)?
4
Let u be (-33)/(-2) + (-2)/4. Let a(j) be the third derivative of -j**4/24 + 17*j**3/2 - 13*j**2 - 8. Calculate the remainder when a(u) is divided by 13.
9
Let a(g) = -g**2 + 3*g - 4. Let t be a(-4). Calculate the remainder when 108 is divided by (51 - 45)/((-6)/t).
12
What is the remainder when 4 - (-8 + (-6 - (-5952)/(-6))) is divided by 103?
83
Suppose 65*x - 59*x + 6 = 0. Let t(k) = -k**3 - 2*k**2 - 2*k - 2. Calculate the remainder when (-25 - -23)*((-102)/(-4))/x is divided by t(-3).
12
Suppose 3*d = -i - 3, -5*i + i - 2*d = -8. Suppose 0 = 2*o + i*o - 105. Let s = 905 + -892. Calculate the remainder when o is divided by s.
8
What is the remainder when 69255/95 + 8/(-2) is divided by 183?
176
Suppose 0 = -3*a + 4*b + 9650, 5*a + 4402 = 2*b + 20462. What is the remainder when a is divided by 44?
42
Let c = 3243 + -3201. What is the remainder when c is divided by 19?
4
Calculate the remainder when 871 is divided by 8/(18 - 100/6).
1
Let h(n) = -86*n - 1. Suppose 716*f - 973*f + 14906 = 0. Calculate the remainder when h(-2) is divided by f.
55
Suppose -3*m - 29 = -p, -p - 12 - 47 = 5*m. Let f(n) = -2. Let r(l) = -9*l + 33. Let x(y) = -4*f(y) + r(y). Calculate the remainder when x(m) is divided by 24.
20
What is the remainder when 0 - ((-28)/(-308) - 2619/11) is divided by 128?
110
Suppose u = 3*n + 3*u - 497, 2*n - 333 = -3*u. Suppose 0 = v - 192 + n. Calculate the remainder when v is divided by 7.
6
Let s(w) = -25 - 7*w + 14*w**2 - 5*w - 2*w + 0*w. Calculate the remainder when s(-3) is divided by 49.
45
Let u(c) = -2*c - 101. What is the remainder when 160 is divided by u(-58)?
10
Let x = 324 - 320. Suppose 21*h - 25*h + 1423 = 5*a, 2*h = x*a + 718. What is the remainder when h is divided by 36?
33
Suppose 7*z - 5*z = 4. Suppose 5*l = z*l + 3*n + 165, -l + 3*n = -57. Calculate the remainder when l is divided by 4 + -3 + (-10)/2*-2.
10
Suppose -25*f = -34*f + 27. Let m(x) = -2*x**3 - 2*x**2 + 3. What is the remainder when m(-3) is divided by f?
0
Suppose -l - l + 30 = 0. Let y = 5866 - 5811. Calculate the remainder when y is divided by l.
10
Let z(x) = 14*x - 19. Let j(w) = w + 4. Let s(r) = 6*j(r) - z(r). Calculate the remainder when s(-5) is divided by 17.
15
Let i(u) = -7*u + 49. Let c(t) = -15*t + 96. Let r(s) = -2*c(s) + 5*i(s). Calculate the remainder when 88 is divided by r(6).
19
Suppose 41929*s = -4*y + 41933*s + 80, 5*s + 93 = 4*y. Calculate the remainder when (-142)/(-6) + 4/(-6) is divided by y.
2
Suppose 3*x - 81 = -r, 3*r + 2*x - 324 = -81. Suppose s = -b + 38, 2*b - r = 3*s - 6*s. Calculate the remainder when b is divided by 21.
12
Suppose -5*u + l + 53 = 0, 3*u + 3*l - 2 - 19 = 0. Let q be 6/30*1 - (-78)/u. Suppose q*v = -22 + 78. What is the remainder when 13 is divided by v?
6
Suppose -15*l = 4*a - 14359, 11*l - 10*l - 4*a - 953 = 0. Calculate the remainder when l is divided by 188.
17
Let j = 1419 + -1199. What is the remainder when j is divided by 42?
10
Suppose 0 = -4*d - 7 - 37. Let v be -4 - d/(33/72). Suppose -v*l + 128 = -16*l. Calculate the remainder when 126 is divided by l.
30
Let m(n) = -n**3 - 7*n**2 - 3*n - 8. Let z be (42/(-12))/((-1)/2*-1). Suppose 4*k + 144 = 7*k. Calculate the remainder when k is divided by m(z).
9
Let c(x) = -23*x**3 + x**2 + 28*x + 130. Calculate the remainder when c(-4) is divided by 58.
56
Let n = 133 + -118. Let h(s) = s**3 + 5*s**2 - 7*s - 2. What is the remainder when (80/(-16))/(n/(-18)) is divided by h(-6)?
2
Suppose -2*u = -10, -g + 5*u + 39 = 10*u. Calculate the remainder when 2474 is divided by g.
10
Let o(c) = 47*c - 211. Let b be o(5). Suppose -26*t = -b*t + r - 30, 5*r - 59 = -3*t. What is the remainder when 23 is divided by t?
10
Let k(c) = c**3 - 3*c**2 + 4*c - 2. Let h be k(1). Suppose -j + h*j + 21 = u, 49 = 3*j - 4*u. Calculate the remainder when 29 is divided by j.
10
Let s(f) = -f**2 - 106*f + 88. What is the remainder when 9097 is divided by s(-28)?
9
Suppose 3*k - 28 = 299. Let i be (-1728)/(-40) + ((-108)/30)/3. Suppose 2*w - i = -2*a, 0 = -2*a - 33 + 43. Calculate the remainder when k is divided by w.
13
Suppose 2*m = 153 + 155. Let q be (23/4)/((-29)/(-1044)). Let u = -168 + q. Calculate the remainder when m is divided by u.
37
Let r = 3 - -68. Let y = r + -42. Suppose 0 = 2*s - y - 37. What is the remainder when s is divided by 7?
5
Let s(o) = -o**2 + 29*o - 51. Let h be s(24). Suppose -h + 3 = -3*p. Let w = p + -7. What is the remainder when 41 is divided by w?
11
Suppose 0 = 4*f + 3*a, -4*f - 5*a - 8 = -0*f. Let x(n) = n**3 - 2*n**2 - 6*n + 16. Calculate the remainder when x(f) is divided by 3 - ((-1)/(-1))/(11 + -10).
1
Let h = -32 - -46. Suppose -5*j + 4*j - 3*l + 65 = 0, l + 4 = 0. Let s = j - 53. Calculate the remainder when s is divided by h.
10
Let o be ((-2)/6)/((-3)/18). Suppose -4*g - 36 = 3*x + o*x, 4*g - 5*x - 4 = 0. Calculate the remainder when 142 is divided by g/(-18) - (-322)/9.
34
Suppose -301 = 2*x + a, 2*x + 607 = -2*x - 3*a. Let p = x + 169. What is the remainder when 121 is divided by p?
16
Let y = 78 - 80. Let a be 10*(7/y)/(-7). Suppose -r + 24 = 3*l + l, 0 = 2*r + a*l - 48. Calculate the remainder when 92 is divided by r.
20
Let b(z) = 3*z**3 - 14*z**2 - 23*z + 54. What is the remainder when 1196 is divided by b(6)?
56
Suppose 11*h + 9 - 20 = 0. What is the remainder when 92 is divided by (h*-2*1)/(6/(-63))?
8
Let i = 69 + -77. Let p be -1*2 + (i - (-16 + 8)). Calculate the remainder when (p - -4)/(6/105) is divided by 19.
16
Let v = 20 - 11. Suppose -13 = 3*i - 119 - 71. Calculate the remainder when i is divided by v.
5
Let p(c) = 152*c + 424. What is the remainder when p(12) is divided by 205?
198
Let r(l) = 220*l**2 + 8 - 191*l**2 + 100 + l**3 + 3*l. Calculate the remainder when 76 is divided by r(-29).
13
Suppose 2*s = -132 + 724. Suppose -138 = -3*k + 3*p, -5*k - 5*p + s = 36. What is the remainder when k is divided by 2/(-10) - 273/(-15)?
13
Let b(k) = -k**2 - 41*k + 390. Calculate the remainder when 3394 is divided by b(7).
46
Let w = 1600 + -1596. Calculate the remainder when 489 is divided by w.
1
Let p = 5803 - 5751. Calculate the remainder when p is divided by 8.
4
Suppose -5*r + 50*u + 292 = 47*u, -5*r + u = -304. What is the remainder when 215 is divided by r?
29
Suppose 5*l = 4*b + 8744 - 282, -5*l + 3*b + 8464 = 0. What is the remainder when l is divided by 40?
14
Suppose 0 = 31*w - 8*w - 11270. What is the remainder when w is divided by 53?
13
Let j = -68 - -183. Suppose a - 142 = -j. Let l = 50 + a. Calculate the remainder when l is divided by 20.
17
Let i(h) = 7*h**2 - 35*h - 93. What is the remainder when i(18) is divided by 18?
15
Let n(q) = -7*q - 110. Let l be n(-12). Let m = l + 282. What is the remainder when m is divided by 37?
34
Let a(y) = -1825*y**3 + 7297*y**2 + 20*y - 9. Let w = 11 - 89. Let m = w + 142. What is the remainder when m is divided by a(4)?
18
Let l be (-9)/(-4)*((-130)/(-10) - 5). What is the remainder when (-1200)/l*9/(-6) is divided by 24?
4
Let j(f) = -22*f + 15. Let x be j(7). Let a = x - -282. Calculate the remainder when a is divided by 9.
8
Let o(j) = -433*j + 54. What is the remainder when 7665 is divided by o(0)?
51
Let h be 14/3 + 10/30. Suppose -v + 1 = 3*f - 9, 5*v - 10 = -h*f. Calculate the remainder when 13 is divided by 1*f/(-8) - 7/(-2).
1
Let h = 984 + -456. Suppose 29*i - 17*i - h = 0. What is the remainder when 923 is divided by i?
43
Let s = 103 - 76. Calculate the remainder when (-158 - (-6 + 4))/((-2)/1) is divided by s.
24
Suppose 5*p - h - 322 = 94, 2*h - 70 = -p. Suppose -2*k = -5*k - c + 61, -39 = -2*k - c. What is the remainder when p is divided by k?
16
Suppose 0 = 113*l - 2653 - 59. What is the remainder when 5517 is divided by l?
