ose -5*x + 8 = -17. Suppose 4*z - 1080 = -4*r, 317 = 3*r + x*z - 485. Let f = -9128 - -9174. Calculate the remainder when r is divided by f.
44
Let o(k) = -9*k + 120. Let y be (-2 + 0)/8 - (-135)/12. Calculate the remainder when 334 is divided by o(y).
19
Suppose 177*w + 4560 = 196*w. What is the remainder when 485 is divided by w?
5
Suppose 29*o - 32*o + 3*z = 1809, -3005 = 5*o - 3*z. Let i = o + 854. Calculate the remainder when i is divided by 37.
34
Let a(z) = 72*z + 2895. What is the remainder when 121 is divided by a(-40)?
1
What is the remainder when (-5)/(3024/434 - 7) is divided by 4?
3
Suppose -12*j + 2*j - 10 = 0. Let w = -172 + 343. What is the remainder when w is divided by 2/11 - -766*j/(-22)?
31
Let p(j) = 11*j**2 - 145*j - 72. Calculate the remainder when p(14) is divided by 13.
2
Suppose 206*k = 191*k + 2100. What is the remainder when 836 is divided by k?
136
Let r(u) = u**3 - 17*u**2 - 3*u + 58. Let n be r(17). Suppose -f + 19 = 2*b, f - 20 = 4*b - n*b. Calculate the remainder when f is divided by 13.
4
Suppose -4*u - 783 = -815. Let a(i) = -i**3 + 7*i**2 + 9*i + 11. Calculate the remainder when 49 is divided by a(u).
11
Suppose 4*n - 27 = 3*n - h, -3*h = -5*n + 159. Suppose -534 = 70*y - 68*y. Let t = 278 + y. Calculate the remainder when n is divided by t.
8
Let h(f) = 21*f + 64. Let y be h(-3). What is the remainder when 87 is divided by (14/(-4) + y)*9*-2?
42
Let s(k) = 49*k + 3. Calculate the remainder when s(6) is divided by ((6 - 12) + 5)*(-27 - -2).
22
Suppose -58 = -2*d + 16. Suppose -16*v - 22*v + 153 = -75. What is the remainder when d is divided by v?
1
Let w(c) = -c**3 + 4*c**2 - 4*c + 7. Let k be w(3). Let u be 2/k*-10 - -1. Calculate the remainder when 66 is divided by (-165)/(-9) - u/(-3).
15
Suppose 8*y - 40*y - 31*y + 2961 = 0. What is the remainder when 6060 is divided by y?
44
Let i = 67 + -48. Let q = -682 - -794. What is the remainder when q is divided by i?
17
Let q(s) = 64*s - 1213. Calculate the remainder when q(32) is divided by 12.
7
Let a(v) = -45*v**3 + 7*v**2 - 14*v - 93. Calculate the remainder when a(-3) is divided by 608.
11
Let d(r) be the second derivative of r**4/6 + r**3 - 2*r**2 + 7*r + 1. What is the remainder when 154 is divided by d(4)?
50
Suppose 106*o - 82108 - 212466 = 0. What is the remainder when o is divided by 41?
32
Let f = -1064 + 146. Let p = 933 + f. Let v(d) = -19*d - 7. What is the remainder when v(-5) is divided by p?
13
Suppose 31*t - 10340 - 11020 = 19*t. What is the remainder when t is divided by 162?
160
Suppose -10*p + 4182 = 4*n, -5*p = -13*n + 14*n - 2098. What is the remainder when p is divided by 122?
55
Suppose 64*i - 3991 - 6071 = -1422. Calculate the remainder when i is divided by 52.
31
Let s = -9678 + 12069. What is the remainder when s is divided by 26?
25
Let z be 510/8 - (-115)/92. Let g(p) = -p**3 + p**2 - p + 82. Let i be g(0). Let m = i - z. Calculate the remainder when 115 is divided by m.
13
Let u(b) = -7*b - 6*b + 11*b + 61. Let m be u(30). Suppose -z + 27 = 4*z - 2*f, m = z + 4*f. Calculate the remainder when 8 is divided by z.
3
Let v = -39 - 245. Let h = 339 + v. Calculate the remainder when 144 is divided by h.
34
Let i = 21234 + -21197. Let c = -1131 - -1758. Calculate the remainder when c is divided by i.
35
Let f = -363 + 359. Let x(k) = -5*k + 40. Calculate the remainder when x(f) is divided by 25.
10
Suppose 471*b - 474*b - 37 = -r, 0 = -5*r + 5*b + 155. What is the remainder when 2293 is divided by r?
25
Let a = -173 + 173. Suppose -5*k - 80 = -5*w, a*w - 2*w - 4*k + 56 = 0. What is the remainder when 378 is divided by w?
18
Let k = 65 + -50. Let n = 323 - 180. What is the remainder when n is divided by k?
8
Let x(y) = 4*y**2 - 146*y + 1496. What is the remainder when x(10) is divided by 135?
31
Suppose -3*h + 120 = h. Let s be (-4 - 13) + 9 - 2. What is the remainder when (-33*4/h)/(2/s) is divided by 8?
6
Calculate the remainder when (-2)/5 + (-196330)/(-200) + 1/(-4) is divided by 104.
45
Let r = 712 - 390. Calculate the remainder when r is divided by (-7 - (-120)/16)*72.
34
Suppose -d = 45 - 132. Let w = -718 - -785. Suppose -5*y = 12 - w. What is the remainder when d is divided by y?
10
Suppose 2*i + j - 65 - 26 = 0, 3*i - 2*j - 154 = 0. Suppose -2*d - 2*w = -i, 0 = 3*d - w + 8 - 92. Calculate the remainder when d is divided by 6.
3
Let h = 6 + -15. Let l = 1 - h. Suppose -b + 0*b - 5*j = -199, j + 891 = 5*b. Calculate the remainder when b is divided by l.
9
Let z(n) = -2*n**2 - 10*n + 2. Let t be z(-5). What is the remainder when t + 11 + 2*(-18)/(-12) is divided by 11?
5
Suppose -w = v - 12, 56 = 5*w - v + 4*v. Suppose w = 4*r - 10. Calculate the remainder when 44 is divided by r.
4
Let p(m) = -34*m - 544. What is the remainder when 1080/4 + 2 + -5 is divided by p(-18)?
63
Suppose 3*s + 3*j - 2763 = 0, 290 = s + 4*j - 631. What is the remainder when s is divided by 230?
1
Suppose 4*b - 1069 = -8*k + 5*k, -4*k + 1420 = 4*b. Suppose -2*v + 138 = u, -5*u + 2*v = -375 - k. What is the remainder when u is divided by 54?
36
Let n be (1 - 9/3)/((-3)/159). Let z = n - 99. Suppose 3*k = 2*k + z. Calculate the remainder when k is divided by 2.
1
Suppose -3*a = -48 - 156. Let k(d) = -d + 3. Let r be k(4). Calculate the remainder when a is divided by (r*64)/(-2) + 4.
32
Suppose -61 = 2*c - 7*x + 2*x, c = -4*x - 24. Let i be (-5 + 60/9)*(-1 - c). Let w = 83 - i. What is the remainder when w is divided by 14?
10
Let c be 30*(6/15 + 0). Let m(o) = -22*o**3 + 6 + 5*o + 9*o**3 - 2*o**2 + c*o**3. Calculate the remainder when 88 is divided by m(-4).
16
What is the remainder when 783 is divided by (-1262605)/1354*2/(-10)*2?
37
Suppose -135*s + 138*s - 3*y - 69 = 0, -2*s - 4*y + 10 = 0. What is the remainder when 281 is divided by s?
9
Let o(a) = -8*a + 82. Let m be o(8). Let h(j) = 14*j - 69. Calculate the remainder when h(m) is divided by 37.
35
Let u = -4046 - -4086. Calculate the remainder when u is divided by 11.
7
Let b = -5 - -16. Calculate the remainder when (740/(-26))/((-436)/2834) is divided by b.
9
Let a = -1429 + 1498. Suppose -23 = -3*z + 4. Let d = z + 5. Calculate the remainder when a is divided by d.
13
Let s be 3 + (3 - (-10 - -3)). Let t(g) = -s*g**2 + 52 + 13*g**2 + 14*g + g**2. What is the remainder when t(-13) is divided by 10?
9
Let y(n) = -n**3 + 10*n**2 - n + 12. Let k be y(10). Suppose 20 - 95 = -5*p. Suppose k*a - 13 = p. What is the remainder when 26 is divided by a?
12
Let s be (204/(-7))/(16/(-112)). Let m = s + -171. Let a = -19 + 26. Calculate the remainder when m is divided by a.
5
Let o(t) = 10*t**2 + 22*t - 7. What is the remainder when 4575 is divided by o(4)?
237
Let q be (-104)/(-12)*(-666)/12. Let s = -133 - q. Calculate the remainder when s is divided by 39.
36
Let b(a) = -8*a**2 - 461*a + 200. Suppose 129 = 4*g - 59. What is the remainder when g is divided by b(-58)?
21
Let s(o) = o**3 - 2*o**2 + 4*o - 10. Let x(f) = f**2 - 11*f - 210. What is the remainder when s(8) is divided by x(-13)?
100
What is the remainder when (-302)/(21/189*-9) is divided by 106?
90
Let h = 266 + -174. Let v be -10 + (2 - -2) + 1. Calculate the remainder when h is divided by -2*v/((-5)/(-12)).
20
Calculate the remainder when 1994 is divided by -21 - -20 - ((-9 - 0) + 45/9).
2
Let u(m) = -m**3 + 20*m**2 + 16*m - 5. Let w(q) = -q**2 + q - 1. Let k(f) = u(f) + 3*w(f). Let b = 11 + 7. What is the remainder when 25 is divided by k(b)?
5
Suppose -2*l = 4*q - 22, 4*l = 3*q + 3*l - 14. Let i(s) be the third derivative of s**4/12 - 3*s**2. What is the remainder when i(5) is divided by q?
0
Let u(n) = 7 - 7*n**3 + 19*n**2 - 37*n - 31*n + 2*n**3 + 26*n + 6*n**3. What is the remainder when u(-15) is divided by 35?
32
Let n(f) = 2*f**3 - 59*f**2 + 26*f + 150. Calculate the remainder when 188 is divided by n(29).
62
Let p(z) = 9*z + 98. Suppose 4*h - h + 17 = -2*y, -3 = 5*h - 3*y. Let w = 12 + h. Calculate the remainder when p(-8) is divided by w.
8
Let o(a) = -a**3 - a**2 - 2*a - 39. Let w be o(0). Let y = 81 + w. What is the remainder when y is divided by 9?
6
Suppose -3*z + 0*z + 81 = 0. Let j(w) = w**2 - 23*w - 93. What is the remainder when 28 is divided by j(z)?
13
Let n(k) = -k**2 - 102*k + 3243. Calculate the remainder when 159 is divid