der when 188 is divided by a?
20
Suppose 2*u = -0*u + 4*q + 28, -63 = -5*u + 3*q. Let w = -47 - 21. Calculate the remainder when 6/(-9) + w/(-3) is divided by u.
10
Let d = -3 - -6. Suppose -2*k = 2*k - 3*z - 26, 21 = d*k - 3*z. Suppose 2*y + 0*y + 8 = l, -k*y + 46 = 3*l. What is the remainder when 22 is divided by l?
10
Let v(r) = 4*r**2 + 10*r - 41. Calculate the remainder when v(4) is divided by 25.
13
Suppose -d - 5*h - 167 = -3*d, 4*h - 368 = -5*d. Let p = 46 - d. Let v = 76 + p. What is the remainder when v is divided by 12?
10
Let g(l) = l + 11. Let h be g(-8). Suppose -2*x - h = -25. What is the remainder when 42 is divided by x?
9
Suppose 21*c + 8 = 25*c. Let z(r) = 6*r**2 - 4*r + 9. What is the remainder when 97 is divided by z(c)?
22
Suppose 0 = 5*k, 6*k - 1482 = -3*f + k. Suppose 5*t + 2*a + a - f = 0, 0 = 2*t - a - 202. Calculate the remainder when t is divided by 37.
26
Let f(h) = h**3 - 8*h**2 + 10*h - 9. Suppose 31 + 83 = 3*n. Let w = n - -7. Calculate the remainder when w is divided by f(7).
9
Let d = -155 - -1204. Calculate the remainder when d is divided by 42.
41
Let d = -334 + 393. What is the remainder when 228 is divided by d?
51
Suppose 2*p + 3*g - 28 = -6, 0 = 2*p - g - 6. Suppose -2*a - 2*s + 64 = 0, p*s - 52 = -a - a. Let f = 5 + 8. Calculate the remainder when a is divided by f.
10
Suppose 6*g + 656 = 14*g. Let q = g + -67. Let f(y) = -y + 58. Calculate the remainder when f(0) is divided by q.
13
Let x(w) = -w**3 - 9*w**2 + w + 12. Let z be x(-9). Let i(g) = g**3 - 2*g**2 - 3*g + 6. Calculate the remainder when 22 is divided by i(z).
4
Suppose 105 = 3*l - 6. Let w = 6 - 1. Suppose 86 - 21 = w*n. Calculate the remainder when l is divided by n.
11
Suppose -24*s - 135 = -471. Calculate the remainder when s is divided by 11.
3
Suppose 3*h - 7*h - 316 = 0. What is the remainder when 13 is divided by h/(-9) - ((-20)/9 + 2)?
4
Suppose 40*x - 7*x - 231 = 0. What is the remainder when 133 is divided by x?
0
Let m = 187 + 153. What is the remainder when m is divided by 43?
39
What is the remainder when (8 - -691)/(36/8 - 3) is divided by 39?
37
Let c(t) = t**2 + t + 2. Let v be c(-2). Suppose 6 = z - 4. Suppose w = -v + z. What is the remainder when 10 is divided by w?
4
Suppose -5*g - 3 = 2, g - 3 = -2*i. Suppose -k + 11 = 2*t, i = 2*t + 2*k - 8. Calculate the remainder when 27 is divided by t.
3
Calculate the remainder when 545 is divided by (-1125)/(-18) + 3/(-2).
57
Suppose -3*f - o - 63 = -1729, -2*f - 5*o + 1128 = 0. What is the remainder when f is divided by 62?
58
Let l = -2 - 0. Let d = 7 + l. Suppose d*h - 45 = -0*h. Calculate the remainder when 33 is divided by h.
6
Let z(k) = k**3 - 8*k**2 + 4*k - 7. Let x = 156 - 109. What is the remainder when x is divided by z(8)?
22
Let w = -1415 + 1473. What is the remainder when 460 is divided by w?
54
Let c = -1560 - -1570. What is the remainder when 66 is divided by c?
6
Suppose 1460 = 69*q - 1645. Calculate the remainder when 899 is divided by q.
44
Let a(r) = -9*r**2 - 7 - 6*r**2 - 15*r - r**3 + 8. What is the remainder when 26 is divided by a(-14)?
11
Let d(a) = -a**3 - 5*a**2 - 8*a - 5. Let b(j) = j**2 + 8*j - 206. What is the remainder when b(-21) is divided by d(-5)?
32
Let i = -180 - -189. Calculate the remainder when (-2)/2*(-24 - -1) is divided by i.
5
Suppose -2*j - 5*q + 0*q = -51, -j + 36 = -q. Let r = -11 - -16. Suppose -3*x + j = 3*z - 5*z, -3 = -2*x - r*z. Calculate the remainder when x is divided by 3.
0
Let i(y) = y + 22. Calculate the remainder when 114 is divided by i(9).
21
Let m(g) = 2*g**2 - 14*g + 17. Calculate the remainder when m(10) is divided by 22.
11
Calculate the remainder when (3/4*26)/(4/8) is divided by 11.
6
Let o(a) = -3*a + 8. Let x be o(6). Suppose 20*g = 7*g - 325. Let d = x - g. Calculate the remainder when 29 is divided by d.
14
Suppose -13*f - 1305 = -2605. Calculate the remainder when f is divided by 28.
16
Let u(l) = 5*l - 2. Let p = 55 - 51. Suppose d + 106 = 2*d - v, -2*v - 317 = -3*d. Calculate the remainder when d is divided by u(p).
15
Suppose -59 = -i + p, 0 = -5*i - 13*p + 10*p + 279. Calculate the remainder when 198 is divided by i.
27
Let c = 112 - 63. Calculate the remainder when 65 is divided by c.
16
Suppose -5*s - w = -54 + 12, 5*w + 15 = 0. Calculate the remainder when 420 is divided by s.
6
Suppose -484*f + 449*f + 1680 = 0. What is the remainder when 863 is divided by f?
47
Let u(r) = -r**3 - 3*r**2 - 2*r - 2. Let o be u(-3). Suppose -4*j + h + 268 = 0, o*j + 2*h = -h + 284. Calculate the remainder when j is divided by 20.
8
What is the remainder when (32/(-160))/(2/(-790)) is divided by 46?
33
Let s = 13 - 18. Let j = s - -6. Let x = j - -2. Calculate the remainder when x is divided by 1.
0
Let d(n) = -n**2 - 6*n + 5. Let p(r) = 7*r**2 - 2*r - 2. Suppose -7 = -6*x - 13. Calculate the remainder when d(-4) is divided by p(x).
6
Let p = -184 + 332. Suppose -d = -3*d + p. Suppose 0 = k + 2*k - 2*u - d, 4*k + 2*u = 108. Calculate the remainder when 76 is divided by k.
24
Suppose 0*u - 12 = -4*u. Suppose 2*h - 27 = -i, 2*h + u*i - 45 = -h. Calculate the remainder when h is divided by 5.
2
Suppose -2*b = 2*m - 30, 4*m - 14 = 3*m - 2*b. Calculate the remainder when m is divided by 12.
4
Suppose 0*m - 5 = -m. Suppose 5*n - 10 = m*x - 35, -x - 4*n = -25. What is the remainder when 22 is divided by 69/x + (-3)/(-9)?
6
Suppose 0 = -f, 6*w - f = w + 295. Suppose -k - 2*i + w = i, -2*k + 5*i + 118 = 0. Calculate the remainder when k is divided by 15.
14
Let y(u) = -26*u + 329. What is the remainder when 423 is divided by y(11)?
36
Suppose -4*l - 57 = -7*l. Let h(d) = -d**3 - 16*d**2 + 56*d + 51. What is the remainder when h(-19) is divided by l?
13
Suppose 22*y + 186 = 692. What is the remainder when 96 is divided by y?
4
Let y(u) = -22*u - 27. Calculate the remainder when y(-5) is divided by 43.
40
Suppose 5*v + 5*l - 1503 = 922, 0 = -4*v + 3*l + 1919. What is the remainder when v is divided by 23?
22
Let x(p) = p**3 - 4*p**2 - 5*p - 32. Let q(h) = 2 + 4*h - 3 - 3 + h**2. What is the remainder when q(4) is divided by x(6)?
8
Suppose 4*i + 462 = -o + 6*o, 3*i + 9 = 0. What is the remainder when o is divided by ((368/(-4))/4)/(-1)?
21
What is the remainder when 28/266 - (-5603)/19 is divided by 30?
25
Let u = 1 + 1. Suppose -2*s = h + 5, -5*h = 3*s - u - 8. Let p = 16 - 9. What is the remainder when p is divided by h?
2
Suppose 3*n + 4*z = 235, 5*n + 0*z - 2*z = 409. Let f be 112/18 + (-18)/n. Suppose -y - 115 = -f*y. What is the remainder when 67 is divided by y?
21
Let d = -30 - -53. Calculate the remainder when 82 is divided by d.
13
Let d(k) = -64*k - 561. What is the remainder when -8*22/(-8)*2 is divided by d(-9)?
14
Let k be 4/6 - (-18)/(-27). Let s = k + 1. What is the remainder when 71 is divided by 3 - ((-15)/s - 0)?
17
Let v(j) = -4*j - 2. Let q be v(1). Calculate the remainder when 96 is divided by q*((-15)/5 - (-5)/(-2)).
30
Let r(v) = 32*v - 72*v + v**3 + 33*v + 5 - 8*v**2 - 2. Suppose 0 = -4*h + j + 37, h - 4*j - 4 = 9. What is the remainder when 102 is divided by r(h)?
18
Let t = -27 - -78. Let g = -32 + t. Let z = g + -5. Calculate the remainder when z is divided by 5.
4
Suppose -10*h + 25 = 5. Suppose 0 = 3*n + 5*f - 89, 0 = -h*n - 2*f - 2*f + 60. Calculate the remainder when 110 is divided by n.
26
Let f(z) = -10*z - z**3 + 2 + 2*z**3 + 2 + 2 - 9*z**2. Let u be f(10). Suppose -2*y = -u*y + 100. Calculate the remainder when y is divided by 13.
12
Suppose -2*i = -4*w - 5*i - 42, -5*w - 51 = 3*i. Let a(f) = -f**2 - 10*f. Calculate the remainder when (-30)/(-1) - 9/((-90)/50) is divided by a(w).
8
Calculate the remainder when 763 is divided by 15/(-6)*(-7168)/140.
123
Suppose 21 = 43*t - 40*t. What is the remainder when t is divided by 5/((-4)/(16/(-4))) + -3?
1
Let s(o) = -o**3 - o**2 - 2*o - 5. Let b be s(0). Let q be b + 2 + 54/2. Let k = q + -16. Calculate the remainder when 46 is divided by k.
6
What is the remainder when (64 - 2)*(-1)/(-2) is divided by 13?
5
Let n(i) = i**3 + 14*i**2 - 5*i - 17. Let z be n(-14). Let g = z - 28. What is the remainder when 99 is divided by g?
24
Let o(m) = 2*m**2 + 4*m - 17. Calculate the remainder when 376 is divided by o(-5).
12
Let r(p) = -4*p + 2. Let o be r(-1). Wha