 0, 5*y + 4*v - 2*v = -710. Let s = y - -368. Suppose -4*u - 16 + s = 0. Calculate the remainder when u is divided by 18.
16
Suppose 2*u + 180 = 5*z, 3*z - 108 = -0*u - 5*u. What is the remainder when 71 is divided by z?
35
Let n = -87 + 101. Suppose 0 = 4*b - 2*b - 164. What is the remainder when b is divided by n?
12
Let z(h) = 3*h**3 - 4*h + 6. Let c be z(2). Calculate the remainder when 162 is divided by (c/(-8))/((-139)/(-20) + -7).
52
Suppose -3*l + 57 = -3*d, 4*d + 49 = 3*l + 3*d. Let g = 400 - 375. Calculate the remainder when g is divided by (l - 1)/(-2 + 4).
4
Suppose -15 = -4*b - 3. Let h(f) = -8 - 7*f**2 + 3*f + 3 - 3 - f**b + 2*f**2. Calculate the remainder when 28 is divided by h(-6).
8
Let s(a) = 4*a + 5. Let j be s(-3). Let v be 70/4 - (-4)/(-8). Let o = v + j. What is the remainder when o is divided by 3?
1
Let t(h) = -4*h - 6. Let a(o) = -362*o - 1032. What is the remainder when a(-3) is divided by t(-5)?
12
Suppose 31*q - 1284 = 19*q. Calculate the remainder when q is divided by 18.
17
Suppose -490 + 76 = -6*u. What is the remainder when u is divided by (-280)/(-16) - (-2)/4?
15
Let k = 81 + -46. Let c = k + -29. Calculate the remainder when 35 is divided by c.
5
Suppose 224 = 50*o - 43*o. What is the remainder when o is divided by 18?
14
Suppose 0 = 3*c + 25 - 145. Let h = c + -23. Calculate the remainder when 41 is divided by h.
7
Let b be 6*(-3)/(12/20). Let h be (-108)/b - 2/(-5). What is the remainder when (6 + 4)*18/h is divided by 24?
21
Suppose -5 = -2*v + 3. Suppose v*b - 4 = 2*b. What is the remainder when 4 is divided by b?
0
Let v(m) = 44*m**3 - m**2 + 3*m - 2. Let y be v(2). Suppose -2*w + 80 = -3*o - 65, 5*w = 4*o + y. What is the remainder when 132 is divided by w?
64
Let g(c) = -c**3 - 14*c**2 - 44*c - 13. Calculate the remainder when 65 is divided by g(-10).
11
Let h be 0 + 1 + 5 + -1. Suppose 1596 = h*v + 321. Let q = v + -169. Calculate the remainder when q is divided by 29.
28
Let r(g) = g**2 - 83*g - 476. Let s = 8 + 4. Calculate the remainder when r(-6) is divided by s.
10
Let m = 10 - 8. Suppose -m*p = 3*i - 11, -i - 4*p + 5*p + 2 = 0. Suppose i*q + 2*w = 191, -3*w + 218 = 5*q - 99. What is the remainder when q is divided by 16?
13
Let h(l) = -l**3 - l**2 + 3*l - 4. Suppose 2*g + 6 = -0*g. Suppose 2*i = 3*q + 20, 8*i + q - 33 = 3*i. What is the remainder when i is divided by h(g)?
2
Let d(y) be the third derivative of -y**6/120 - y**5/12 - y**4/12 - 3*y**2. What is the remainder when -28*(3 - (-4)/(-1)) is divided by d(-5)?
8
Let v = -53 + 80. Let f = 192 + -117. Suppose -5*j - 3*o = -f, 0 = -3*j - j + o + 60. What is the remainder when v is divided by j?
12
Let r = -166 + 198. What is the remainder when 116 is divided by r?
20
Let s be (4 + -3 - (-7)/2)*-2. Calculate the remainder when 29 is divided by (1 - 37)/(-11 - s).
11
Let z = 857 + -779. Calculate the remainder when z is divided by 44.
34
Let u(m) = -m**3 - 16*m**2 - 22*m - 57. What is the remainder when 159 is divided by u(-15)?
15
What is the remainder when (-90)/30 - (-161)/1 is divided by 8?
6
Suppose 5*l - 10 = -5*j, -5*l = -4*j - 4 - 33. Let w(g) = -g**3 + g**2 + 5*g + 2. Suppose -z - 3 = -12. What is the remainder when w(j) is divided by z?
5
Let j(n) = 6*n**3 + 5*n**2 + 16*n - 18. Let a(q) = q**3 - q**2 + q. Let l(o) = -5*a(o) + j(o). Calculate the remainder when 85 is divided by l(-8).
19
Let h = -527 + 558. Suppose 0 = 4*r - 8*r + 3*n + 126, -4*r - 5*n + 142 = 0. Suppose -4*j = -j - r. Calculate the remainder when h is divided by j.
9
Let r(t) = t**2 - 6*t - 22. Let w be r(10). Suppose -2*z - w = -3*z. What is the remainder when z is divided by 8?
2
Suppose -3*o + 13 = m, -9*o = -2*m - 4*o + 48. Calculate the remainder when m is divided by ((-22)/(-4))/(1/2).
8
Suppose -5*i + 72 = 2*x, 5 + 6 = i - 3*x. What is the remainder when i is divided by 8?
6
Suppose 4 = 2*v + 2*f, 6*f + 26 = 5*v + 7*f. Calculate the remainder when 20 is divided by v.
2
Suppose 257*c - 1411 - 4309 = 448. Suppose -4*w = -5*x + 246, x - 4*x - 4*w + 122 = 0. What is the remainder when x is divided by c?
22
Suppose -j - 2*d + 19 = -46, 0 = 2*j + d - 115. What is the remainder when 492 is divided by j?
52
Suppose -m + 12 = 50*j - 48*j, 4*m - 73 = -3*j. Let x(n) = -44*n**3 - 2*n**2 - n. Calculate the remainder when x(-1) is divided by m.
21
Let y be (3/1 - 2)*-5. Calculate the remainder when 16 is divided by 2 + (-26)/(-10) + 3/y.
0
Let b = -507 - -548. What is the remainder when 940 is divided by b?
38
Suppose 14 = 4*n + 3*m, 6*m - m - 8 = n. Calculate the remainder when 3 is divided by n.
1
Let w be (0 - 131/(-4)) + (-3)/(-12). Let k = 56 - w. Calculate the remainder when k is divided by 4.
3
Let g = -937 + 1326. What is the remainder when g is divided by 30?
29
Suppose 1080 = -40*a + 80*a. What is the remainder when a is divided by 10?
7
Let b = -2 - -20. Suppose 0 = -5*a - 5*y + 245, 4*a = 2*y + y + 210. Calculate the remainder when a is divided by b.
15
Let l(k) = k**3 - 3*k**2 + 3*k + 3. Let s(b) = 2*b**2 - 15*b - 11. What is the remainder when l(4) is divided by s(9)?
15
Let j be (-12 - -12)*1/(2/1). Suppose 4*x - 5*x - 5*y + 194 = j, 1054 = 5*x + 4*y. What is the remainder when x is divided by 27?
25
Suppose -x - 2*s - 22 = -5*x, -4*x - s + 25 = 0. Calculate the remainder when (-24)/x - 23*-5 is divided by 28.
27
Let y be 1*-2*(-13)/(-1). Let n = y - -32. What is the remainder when n is divided by 3?
0
Calculate the remainder when (-147)/196 + (-183)/(-4) is divided by 19.
7
Let x = -182 + 237. What is the remainder when 105 is divided by x?
50
Let g = 88 - 60. Suppose -18 = 5*t - 3*t. Let r = t + g. Calculate the remainder when r is divided by 10.
9
Suppose 3*v = -u + 118, 9*u - 154 = -4*v + 11*u. What is the remainder when 126 is divided by v?
9
Suppose 3*o - 5*i = 73, -2*o = -4*i - 66 + 18. Suppose 5*k - 24 = -3*j, 6*k = -j + 2*k + 15. Calculate the remainder when o is divided by 2*5 + j*(-5 + 4).
5
Let y = 711 + -700. Calculate the remainder when 30 is divided by y.
8
Suppose 1757 = 38*a - 1245. Calculate the remainder when 145 is divided by a.
66
Let a(z) = -z**2 + 10*z + 68. Calculate the remainder when a(13) is divided by 8.
5
Suppose -5*z - 36 = -3*l, -3*z = -4*l - 6*z + 77. What is the remainder when l is divided by (1/(6/(-4)))/(1/(-12))?
1
Let j = 1377 - 1188. What is the remainder when j is divided by 66?
57
Let k = 0 - 4. Suppose -4*a + 2*q + 262 = 0, -155 - 43 = -3*a + 3*q. What is the remainder when 10 is divided by (104/a)/(k/(-10))?
2
Suppose -2*l + 45 = -4*n + 15, 0 = 4*l - 2*n - 48. Suppose -t + 1 = 0, 7*g - 3*g + l = -t. Let z = 12 + g. Calculate the remainder when 25 is divided by z.
7
Suppose 43*h - 1050 = 37*h. What is the remainder when h is divided by 40?
15
Let g(w) = -w**2 - 16*w + 10. Let r be g(-11). Let l(t) = -t**2 + t - 2*t - t + r + 0*t**2. Calculate the remainder when l(0) is divided by 22.
21
Calculate the remainder when 5*(-201)/(-90)*6 is divided by 4.
3
Let l(t) be the third derivative of t**6/120 + t**5/12 + t**3 + t**2. Calculate the remainder when 5 + (-64)/(-12) - (-2)/(-6) is divided by l(-5).
4
Let w = 432 - 952. Let z be 2/6*9 + -1. What is the remainder when (z/8)/((-10)/w) is divided by 5?
3
Suppose q + 3*f - 5 = 0, -2*f - 3*f + 25 = 5*q. Suppose 241 = 3*j - 5*i, -2*i = -i + q. What is the remainder when j is divided by 19?
15
Calculate the remainder when 160 is divided by (1/(-2))/(-3*(-7)/(-1260)).
10
Suppose 3 = -5*a - 27. What is the remainder when 4 is divided by (a*1)/(-3) + -1?
0
Suppose 2*r - l = -0*l + 20, 2*r - 20 = -3*l. What is the remainder when 257 is divided by r?
7
Let x(m) = m**3 + 11*m**2 - 28*m - 31. Let b be x(-13). What is the remainder when 51 is divided by -2*(b - (-2)/4)?
6
What is the remainder when (-95)/(-1) - 270/(-30) is divided by 28?
20
Suppose -4*u + 5*v + 16 = 0, 0*v + 41 = 5*u - v. What is the remainder when 35 is divided by u?
8
Let h(z) = z**3 + 16*z**2 + z + 20. Let f be h(-16). Suppose k - f*k = 0. Suppose k*x = 5*x - 65. Calculate the remainder when 36 is divided by x.
10
Suppose 3*d = 2 + 10. Suppose -w + 5 + d = 0. What is the remainder when w is divided by 5?
4
Let y(p) = 23*p**2 + 2*p - 2. Let v be (-4)/8*-6 + -5. Calculate the remainder when y(v) is divided by 29.
