ulate the remainder when (-18)/(-4)*(20/3 + -4) is divided by 9.
3
Suppose 80*k - 81 = 77*k. Calculate the remainder when k is divided by (-20)/6*(-24)/20.
3
Suppose 0 = -2*q - 18 + 52. Suppose 0 = r + 4*w - 47, 5*r = -2*w + 135 + 28. Calculate the remainder when r is divided by q.
14
Suppose 1 = m - 2*t, 2*m - 18 = -2*t - 2*t. Let b(h) = h**2 - 3*h - 2. Let r be 1/4 + 9/(-4). Calculate the remainder when b(r) is divided by m.
3
Suppose 4*y = o + 565, 3*y = o - 5*o + 419. Let b = y - 123. What is the remainder when b is divided by 7?
4
Let l be 1 + 4/10 + (-69)/(-115). Suppose 36 = l*m + 2*m - 3*c, 45 = 5*m + 3*c. Calculate the remainder when m is divided by 4.
1
Suppose -7 = r - 12. Let p(c) = 16*c**2 + 4*c + 3. Let q be p(4). Calculate the remainder when 2/(-12) + q/30 is divided by r.
4
Suppose -2*o = 2*x - 12, 0*o + 4*o = 20. Let j(b) = 10*b**3 + 2*b - 2. What is the remainder when 38 is divided by j(x)?
8
Let u = 1308 - 837. Calculate the remainder when u is divided by 4.
3
Let c = 37 + -24. Let m(k) = 2*k**2 - 4*k - 7. What is the remainder when m(-6) is divided by c?
11
Let w(u) = -u**3 - 2*u**2 + 2*u + 1. Let p be w(-4). Let y = -37 + p. Calculate the remainder when ((-258)/(-18))/((-2)/y) is divided by 22.
20
Suppose -11*u = -1 - 10. Calculate the remainder when (-6 - u)/(3/(-9)) is divided by 4.
1
Suppose -212 = -24*j + 1324. Calculate the remainder when j is divided by 2*((-26)/(-4) + 2).
13
What is the remainder when -2672*(-3)/108 + (-4)/18 is divided by 30?
14
Suppose 23 = -4*k + 2*u + u, -3*k - 26 = -4*u. Let s = 12 + -7. What is the remainder when s is divided by (k - -3) + 3 - 0?
1
Let n = -157 + 163. Let g(l) = l**2 - 9*l + 9. Calculate the remainder when g(9) is divided by n.
3
Suppose 3*v - 2*x = 65, x - 7 + 5 = 0. Suppose 0*a - 4*a = -336. What is the remainder when a is divided by v?
15
Calculate the remainder when 5 + 82 + 8 + -7 is divided by 2.
0
Let t = 76 + -71. Suppose -2*g + 78 = 2*z, t*g = 3*g - 5*z + 84. What is the remainder when g is divided by 16?
5
Let x be 4/((-8)/(-6)) - -3. Let h = x - 4. Suppose -h*l + 27 - 9 = 0. What is the remainder when 17 is divided by l?
8
What is the remainder when 148 is divided by 183/27 + -7 - (-465)/27?
12
Calculate the remainder when 18000/20*(-1)/(-3) is divided by 53.
35
Let n = 2311 + -1860. Calculate the remainder when n is divided by 35.
31
Suppose 0 = -4*i + 3*i - 3*t + 21, -3*t + 81 = 5*i. Suppose -c - 54 = -3*k + 17, -67 = -3*k + 2*c. Calculate the remainder when k is divided by i.
10
Suppose 5*h + 0*a + 4*a = 23, -4*a = -5*h + 7. Let s(t) = -2*t**2 + t + 2. Let k be s(-1). Calculate the remainder when 22 is divided by -2 + k + (h - -6).
4
Let v = 6 - 3. Let l(x) = x**3 - 15*x**2 + 56*x - 9. Calculate the remainder when l(9) is divided by v.
0
Suppose 5*d = 10*d - 30. Let t = d + 2. What is the remainder when 29 is divided by t?
5
Let i be (2/(-2))/(1/(-14)). Suppose 3*m + 25 = -5. Let o = i + m. Calculate the remainder when 6 is divided by o.
2
Calculate the remainder when 150 is divided by (-8)/(72/(-459)) + 1.
46
Suppose 3*x + 12*m - 101 = 11*m, -4*m = -20. Calculate the remainder when x is divided by 6.
2
Let p = 13 + -9. Suppose -4 = n - 3*n + p*o, -4*o - 14 = -3*n. What is the remainder when 28 is divided by n?
8
Calculate the remainder when 18/(-63) + (-4)/(-7)*382 is divided by 7.
1
Let q = -30 + 60. Calculate the remainder when 69 is divided by q.
9
Let g be (-176)/(-12) - (-4)/(-6). What is the remainder when 39 is divided by -63*(g/6)/(-7)?
18
Let m = -703 - -1012. Let w = m + -200. What is the remainder when w is divided by 28?
25
Let u(n) = -14 - 6*n + 18 + 3*n**2 + 18 - 6*n. Calculate the remainder when 85 is divided by u(4).
19
Let f(v) = -3*v + 3. Let a(t) = 16*t + 115. Calculate the remainder when f(-4) is divided by a(-7).
0
Let l(t) = 7*t**2 + 5*t - 13. Calculate the remainder when l(-6) is divided by (36/(-16))/((-12)/224).
41
Let h = 262 + -186. What is the remainder when h is divided by 47?
29
Let u be -3*(-4)/6*(-3 - -1). What is the remainder when 4 is divided by (2*4/u)/(-1)?
0
Suppose -s + 25 = -2*r, -2*r = 22*s - 21*s - 37. Suppose -5*l + i = -50, -2*i = 3*l - 23 - 20. Calculate the remainder when s is divided by l.
9
Let w(c) = 0 + 1 + 5*c - 3*c. Let n = 142 + -27. What is the remainder when n is divided by w(14)?
28
Let k be (-2)/(-4)*-2 + 1. Suppose u + u = k. Suppose 0*n + 44 = 3*n + h, 2*n + 2*h - 32 = u. Calculate the remainder when 53 is divided by n.
11
Let h = -42 + 70. Let w be (48/10)/(h/210). Suppose 3*m + 0*m = 5*b + w, -5*b - 19 = -2*m. What is the remainder when 50 is divided by m?
16
Let t(l) = 4*l**3 - 3*l**2 + 2. Calculate the remainder when 43 is divided by t(2).
21
Let j(n) = 13*n**2 - 10*n - 30. Let l be j(-7). Suppose 0 = 12*m + 29 - l. Calculate the remainder when m is divided by 19.
16
Suppose 0 = -5*z - 5*t + 206 + 4, 4*z - 195 = 5*t. Let d(o) = o**3 + 8*o**2 - 9*o + 3. Calculate the remainder when z is divided by d(-9).
0
Let q(o) = 11*o - 87. Calculate the remainder when 48 is divided by q(12).
3
Let f = -88 + 92. Suppose -f*y - 3*p = -42, 3*y = 8*y + 4*p - 52. What is the remainder when 57 is divided by y?
9
Let q(v) = 3*v**2 - 8*v - 80. Calculate the remainder when q(-7) is divided by (12/15)/((-2)/(-35)).
11
Let u be (-1 - 1)/((-10)/(-165)). Let t = u - -45. Calculate the remainder when 34 is divided by t.
10
Suppose 0 = 241*v - 232*v - 666. What is the remainder when v is divided by 5?
4
Suppose 16*o - 63 = 513. What is the remainder when 245 is divided by o?
29
Suppose p = -f - 16, 4*f = 2*p + 3*p - 91. Let g = -7 - f. Suppose -30*m - 396 = -48*m. What is the remainder when m is divided by g?
10
Let m(l) = l**3 - 7*l**2 + 5*l - 7. Let b be m(6). Let y(z) = -z**2 - 14*z + 14. What is the remainder when 112 + -5 + 0 + -2 is divided by y(b)?
24
Let q = -228 - -255. What is the remainder when 268 is divided by q?
25
Suppose 0 = -2*l - 181*z + 176*z + 32, 48 = 4*l + 2*z. Let p = -52 + 31. Let n = 20 - p. Calculate the remainder when n is divided by l.
8
Let h = -106 + 115. Suppose 3*l - 15 = 0, -5*d + 11 - 1 = 3*l. Let b = 34 + d. Calculate the remainder when b is divided by h.
6
Let r be (2 - (-84)/(-8))*-2. Suppose 3 = -5*x - r. What is the remainder when 8 is divided by (-18)/x*(-10)/(-15)?
2
Let z be 4/14 + 1396/14. Suppose 0 = 4*p + p - z. What is the remainder when (-2)/1 + 2 + 58 is divided by p?
18
Let m = 372 - 223. Calculate the remainder when m is divided by 48.
5
Suppose -50*b + 62*b - 432 = 0. What is the remainder when 174 is divided by b?
30
Suppose 12*y + y = 13. Let l = y + 85. Calculate the remainder when l is divided by 18.
14
Let z = -492 + 535. What is the remainder when 58 is divided by z?
15
Let l = 12 + -45. Let k = 41 + l. What is the remainder when ((-58)/4)/(3/(-6)) is divided by k?
5
Suppose x + 17 = 5*h, -2*x + h = -3*h + 10. Suppose t - 33 = 3*q, 0*t - 3*t = -x*q - 129. Calculate the remainder when t is divided by (-10)/(-8)*(-32)/(-4).
8
Suppose -522 = -3*z + 4*c, -3*z - c - 2*c + 522 = 0. Suppose 4*s - z = s. Calculate the remainder when 288 is divided by s.
56
Let q be 1 - -4 - (2 - 1). Suppose -q*j = -3*r + 130, 2*j - 7 = r - 53. Calculate the remainder when r is divided by 13.
12
Let v be (-3)/(2 + 1)*-5. Suppose 5*o + v*j = 2*j + 94, -o + 4*j + 28 = 0. Suppose -o*m + 6 = -19*m. What is the remainder when 21 is divided by m?
3
Let s(c) = 7*c + 18. Let f(u) = 14*u + 36. Let x(d) = 6*f(d) - 13*s(d). Let j(v) = 9*v - 5. Calculate the remainder when j(6) is divided by x(-5).
15
Suppose 5*s = -3*h - 2*h + 1520, 5*h - 4*s = 1565. Calculate the remainder when h is divided by 39.
36
Suppose 203*f = 206*f - 30. Suppose 0*d - 28 = -d. What is the remainder when d is divided by f?
8
Suppose h = -16 + 68. Calculate the remainder when h is divided by 1 + 16 + (-20 - -21).
16
Suppose k - 12 = -2*h, 5*k + 5*h = 6*k - 47. Suppose -2*f + 41 = -13. What is the remainder when k is divided by 6/f - 79/(-9)?
4
What is the remainder when (-3123 + 2 + -5)/(-23 + 21) is divided by 58?
55
Let r(a) = -a + 27. Let b(c) = -c + 43. What is the remainder when b(-6) is divided by r(10)?
15
Suppose -29*y - 622 = -3058. Calculate the remainder when y is divided by 24.
12
Suppose 4*r = -5*d + 19, 0 = 4*d + 3*r