9 = 5*i, -4*r = -0*r + 4*i - 180. Suppose -2*q - 7 = -r. Calculate the remainder when (1 + 17)*(-6)/(-4) is divided by q.
9
Let u(q) = q**3 + 14*q**2 + 19*q - 51. Calculate the remainder when 45 + (3 - (-1)/(-1)) is divided by u(-12).
2
Suppose 30 = 5*a + 4*k + k, -14 = -5*a - k. Suppose 3*l + 91 = a*f, -3*f - 2*l + 6*l + 136 = 0. Calculate the remainder when f is divided by (1 + (-1 - 1))*-23.
21
What is the remainder when 201 is divided by (15 + (308 - -5))*(-2)/(-16)?
37
Let g be 8/6 + 114/9. Suppose 3*f = 3, 5*s - 2*f + f - g = 0. Suppose -s*q = -q - 46. Calculate the remainder when q is divided by 13.
10
Let y(k) = -396*k - 2710. What is the remainder when 3778 is divided by y(-7)?
58
Suppose 2*f - 6 = 2*n, 4*f - n - 9 = 9. Suppose -3*h = -f*k - 283, k + 7*h - 3*h = -75. Let p = 92 + k. What is the remainder when p is divided by 13?
7
Suppose -u + 2*f + 84 = 0, -159 = -3*u + 5*f + 98. Suppose 5*w - 2468*b = -2467*b + 926, 5*b = w - 142. Calculate the remainder when w is divided by u.
93
Suppose 0 = -4*u + 4*z - 132, 129 = -2*u - 2*u + 5*z. Let c(w) = 2*w + 21. Calculate the remainder when 2/4*(-2 - u) is divided by c(-7).
3
Suppose w - 9*h = 641, -33*h = 3*w - 37*h - 1785. Calculate the remainder when w is divided by 38.
17
Suppose -3*i + 9 = -2*c + 42, -4*c + 74 = 2*i. What is the remainder when 1526 is divided by c?
14
Let v = 74 - 20. Let k(u) = -2*u**3 + 10*u**2 + 106*u + 36. Calculate the remainder when v is divided by k(-5).
0
Let l = 827 + -349. What is the remainder when l is divided by 7?
2
Suppose 4*l - 4*b = 0, 0 = -5*b + 4 + 6. Suppose 4*d + 6*q = l*q + 112, -q - 132 = -4*d. Calculate the remainder when d is divided by 11.
10
Suppose 3*d - 2*y - 1078 = 0, 0 = -250*d + 247*d - y + 1072. What is the remainder when d is divided by 28?
22
Suppose -137*k + 335 = -132*k. Suppose -k - 783 = -25*v. What is the remainder when v is divided by 1 - (-2 + (-8 - 1))?
10
Let u = -623 - -637. Calculate the remainder when (-2)/(-11) - 60192/(-363) is divided by u.
12
Suppose -53952 = 144*b - 203280. Calculate the remainder when b is divided by 130.
127
Let o(j) = 22017*j + 22026. Suppose 4*b - 180 - 60 = 0. What is the remainder when b is divided by o(-1)?
6
Suppose 4514 + 77927 = -232*q + 251*q. What is the remainder when q is divided by 10?
9
Let b be 2/(-14) + 150/21. Suppose -16*m + 39 = b. Calculate the remainder when (-2)/(-4) + 23/2 is divided by m.
0
Let t = -177 + 177. Suppose t = 3*r - 8*r + 210. What is the remainder when r is divided by 16?
10
Let x(y) = y**2 - 20*y - 134. Let k be x(-7). Suppose 49*o + 72 = k*o. What is the remainder when 34 is divided by o?
10
Suppose 6*r = 64*r - 285238 - 524732. What is the remainder when r is divided by 6?
3
Suppose -151*q + 2891 + 10837 = -315. Let p(x) = -1115*x**3 - x - 1. What is the remainder when p(-1) is divided by q?
92
Suppose 3*t = 3*n + 75, 2*t - 31*n - 44 = -26*n. Let z(l) = 6*l**3 - 2*l**2 - 4*l + 2. Calculate the remainder when z(3) is divided by t.
26
Let w = -4982 + 5068. What is the remainder when 752 is divided by w?
64
Suppose 2*w - 9*w = 14. Let n be ((-30)/(-10))/((-3)/w). Suppose 45 = -q + n*q + 3*a, 161 = 5*q - a. Calculate the remainder when 95 is divided by q.
29
Suppose 6*g - 32*g + 247716 - 75986 = 0. Calculate the remainder when g is divided by 14.
11
Let r = -14 - -20. Suppose 3*c = -3*i - 753, 0*c + i = -5*c - 1247. Let x = c - -251. What is the remainder when r is divided by x?
0
Calculate the remainder when 14 - (-328)/12*6 is divided by 15.
13
Let r be (48/40)/(2/15). Let g(y) = -y**3 + 8*y**2 - 11*y + 12. Let h be g(7). Let j = r - h. What is the remainder when 47 is divided by j?
22
Let y(t) = t**2 + 5*t + 22. Let h be y(-6). Suppose -7*n + 5*n = -h. What is the remainder when 32 is divided by n?
4
Suppose 2*v - 55 = v. Let i(k) = -34*k**3 + k**2 - 3*k + 3*k**2 + 5*k**3 - 6 - 2*k**2. What is the remainder when v is divided by i(-1)?
27
Let b = -7656 - -7899. What is the remainder when b is divided by 214?
29
Let i = 35 + -12. Let k = 55 - i. Calculate the remainder when -4 + 0 + -17 + 178 is divided by k.
29
Let p(s) = -50*s - 2390. Calculate the remainder when 1194 is divided by p(-49).
54
Suppose 4*x = -3*l + 2997, 3*x - 1152 = -3*l + 1848. Calculate the remainder when l is divided by 29.
17
Suppose 0 = 2*n + 12*n - 17458. Suppose -5551 = -16*t - n. Calculate the remainder when t is divided by 3*-1 - 8*-6.
44
Let x(g) = 2*g - 1. Let a(q) = -4*q - 130. Let y(u) = -a(u) - 4*x(u). What is the remainder when 154 is divided by y(15)?
6
Let i(j) = 24*j**2 + 156*j + 482. Calculate the remainder when i(-3) is divided by 166.
64
Let p = -46 + 226. Suppose -p = -5*b - 5*k, 0 = b + 2*k + k - 38. Calculate the remainder when b is divided by 24.
11
Let p(o) = 19*o - 1. Let t(w) = w**3 + 10*w**2 + 26*w + 64. Calculate the remainder when p(6) is divided by t(-7).
26
Suppose -2403 = -7*l + 4002. Suppose -12*r + 141 = -l. What is the remainder when r is divided by 7?
4
Suppose -86*f = 1308 - 4748. Calculate the remainder when 129 is divided by f.
9
Let v = 111 + -58. Suppose 9*b - 12 = -57. Let c = b - -106. Calculate the remainder when c is divided by v.
48
Suppose 0 = 2*z + 4*x, 4*x = z - 15 - 3. Let r be (52/8)/13 + 222/4. Suppose -145 + r = -3*l + h, 3*h - 3 = 0. Calculate the remainder when l is divided by z.
0
Let r be (-10 + 8)/((-1)/(-3) + 0). Let s(f) = f**3 + 8*f**2 - f + 14. Let b = 33 + -14. What is the remainder when s(r) is divided by b?
16
Let n(k) = k**2 - 70*k - 4354. Calculate the remainder when 136 is divided by n(-40).
44
Suppose 0 = -18*q + 346 + 1446 - 190. What is the remainder when (4/(-2))/(6/(-2133)) is divided by q?
88
Let v be 28/6*-3 - (0 - -1). Let m(f) = f**3 + 14*f**2 - 19*f - 32. Calculate the remainder when m(v) is divided by 3.
1
Let w = -4981 - -4996. What is the remainder when 20 is divided by w?
5
Let r(c) = 15*c**3 - 6*c**2 + 8*c - 1. What is the remainder when r(3) is divided by 59?
20
Suppose 41663 = 248*n + 214*n + 221*n. Let t(p) = 33*p**2 + p. What is the remainder when n is divided by t(-1)?
29
Let u(v) = -36*v - 116. Let m(j) = 36*j + 116. Let k(q) = 7*m(q) + 6*u(q). Calculate the remainder when 221 is divided by k(-3).
5
Suppose -2*d + 7 + 55 = 0. Suppose 3*v - 71 = d. Suppose 54 = 17*j + 13*j - 186. What is the remainder when v is divided by j?
2
Calculate the remainder when 976 is divided by (-931099)/(-2747) - 1/((-41)/2).
298
Let k(m) = 14*m**2 - 6*m - 7. Let h be k(-6). Suppose 4*g = -161 + h. What is the remainder when g is divided by 6?
3
Let a(p) = -p**3 + 12*p**2 - 36*p + 241. What is the remainder when a(10) is divided by 4?
1
Let b(o) = -8*o**3 + 3*o**2 - 43*o - 130. What is the remainder when b(-3) is divided by 9?
8
Let l(k) = 2*k**2 + 14*k - 10. Let y(r) = -3*r + r + 4*r + 0*r. Calculate the remainder when l(-8) is divided by y(3).
0
Suppose 0 = 5*s - 64 + 24. Suppose 0*g + 4*g - s = 0. Suppose -4*q = g - 50. Calculate the remainder when 34 is divided by q.
10
Let f(r) = -r**3 + 39*r + 18*r**2 - 13*r - 10 - 28*r - 20*r. What is the remainder when f(16) is divided by 9?
6
Suppose 12 = -2*w + 22. Let q be w + (-3)/((-12)/8 - -3). Suppose -q*n + 195 = -0*n. What is the remainder when n is divided by 17?
14
Suppose 0 = 94*k - 83*k - 143. What is the remainder when 166 is divided by k*(2/4 - 1/(-2))?
10
Calculate the remainder when ((-32)/(-10))/(40/114100*7) is divided by 52.
4
Suppose w - 2834 - 326 = 0. Suppose -w = -19*s - s. Calculate the remainder when s is divided by 41.
35
Suppose 5*z - 762 + 697 = 0. Calculate the remainder when 973 is divided by z.
11
Let s = -41 - -4. Let q = s - -28. What is the remainder when (q/(-4))/((-3)/(-72)) is divided by 19?
16
Let o = -26532 + 31903. What is the remainder when o is divided by 112?
107
Let z = 376 + -181. Suppose z = 9*k - 4*k. Suppose 0 = -d - 3*c + k, -5*d + 0*c + 227 = -c. What is the remainder when d is divided by 8?
5
Suppose 35 = 5*c + 5. Let i(q) = 2*q**2 - 3*q - 9. Let y be i(c). Suppose -x + 30 = -y. Calculate the remainder when x is divided by 22.
9
What is the remainder when (-12 - -6078 - -5) + -1 + 0 + 3 is divided by 31?
28
Calculate the remainder when 13/(-1 - -14)*57 is divided by 5.
2
Suppose -10*r = -5*r - 30. Let x(b) = -b**2 + 7*b + 10. What