 1/4 + 255/s is divided by 5.
3
Let d(i) = -7*i + 18. Calculate the remainder when d(-11) is divided by (-142)/(-10) + (-6)/30.
11
Suppose -3*y - 4*g = -4*y + 5, -4*g = -2*y + 18. Calculate the remainder when 51 is divided by y.
12
Suppose -r - 4*r + k = -113, -2*k = 6. Calculate the remainder when 84 is divided by r.
18
Suppose -5*h + 5*i + 325 = 0, -4*h + 6*h = -5*i + 137. Suppose -4*z + 5*z - h = 0. What is the remainder when z is divided by 17?
15
Let l(x) = 25*x + 1. Let m be l(2). Suppose 7*w - 124 = 3*w. Let j = m - w. What is the remainder when j is divided by 11?
9
Let y = 6 + -6. Calculate the remainder when (-102)/(4 - 7) + y is divided by 12.
10
Let p = 8 - 25. Suppose o = -3*o - 208. Let f = p - o. Calculate the remainder when f is divided by 12.
11
Let b be ((-5)/2)/(2/(-4)). Suppose n - b*r = 23 - 2, -4*n = 3*r + 8. Suppose 4*v + n = u + 4*u, -v = -4*u + 3. Calculate the remainder when v is divided by 1.
0
Let d(n) = n**3 + 7*n**2 - n + 7. Let q be (21/(-12))/(1/4). Let f be d(q). Suppose k = -k + f. What is the remainder when 13 is divided by k?
6
Suppose -2*i + 122 = t, 6 = -i - 2*t + 67. Let s(r) = r**3 - 12*r**2 + 12*r + 5. What is the remainder when i is divided by s(11)?
13
Let z be (118/(-3))/(16/(-72)). Suppose 0*x - 3*x = -z. What is the remainder when x is divided by 20?
19
Suppose -58 - 72 = -5*x. Calculate the remainder when x is divided by (-4)/(-22) + 456/33.
12
Suppose -4*f = a - 18 - 4, 14 = f - 4*a. Let h(o) = -o - 4. Let m be h(f). What is the remainder when ((-256)/(-40))/((-2)/m) is divided by 11?
10
Let c be 1/4 - (-22)/8. Suppose 0*x + c*t = 2*x - 43, -116 = -5*x - t. What is the remainder when x is divided by 12?
11
Let c(v) = 4*v**2 - 2. Suppose n + 8 = 2*n. Suppose -4*q - 4*a = -9*a + n, -5*a + 14 = -2*q. Calculate the remainder when c(q) is divided by 12.
10
Suppose -5*x - 4*p = -2*x - 10, -5*x - p + 28 = 0. Suppose 0 = a + 5*w + 6, w - 2 = -a - 0*w. Calculate the remainder when 2/((x/(-13))/(-3)) is divided by a.
1
Let c(x) = -x**2 - 11*x + 2. Let w(s) = s. Let d(f) = -c(f) - 5*w(f). Let l be d(-6). What is the remainder when 6 is divided by 2/((-6)/4 - l)?
2
Let x(c) = c**2 + 5*c + 3. Let j be x(-5). Suppose -37 = -j*t - 13. Let w(d) = d**2 - 4*d + 1. What is the remainder when w(t) is divided by 9?
6
Let n(p) = p + 7. Let i(k) = 4*k - 2. Calculate the remainder when n(4) is divided by i(2).
5
Let o be 2/(((-2)/(-3))/1). Suppose -3*b - 1262 = 5*x - 167, 2*x + o*b = -429. What is the remainder when 15 is divided by (-4)/18 + x/(-27)?
7
Let q = -22 - -64. Let w be (-186)/4*(-8)/12. Suppose 0 = -3*t + w + 2. What is the remainder when q is divided by t?
9
Suppose 2*v + 5*i = 3*i + 38, -5*v + 97 = 3*i. What is the remainder when v is divided by 11?
9
Let w(y) = -y**3 - 9*y**2 + 9*y - 10. Let r be w(-10). Suppose r*u - 24 = -u. Let d = u - -1. Calculate the remainder when d is divided by 14.
11
Let l(z) = z**2 + 3*z - 1. Let n(y) = -4*y + 2. What is the remainder when n(-6) is divided by l(2)?
8
Suppose -25*k + 39 = -22*k. Calculate the remainder when 1/(-2) - 98/(-4) is divided by k.
11
What is the remainder when 1 is divided by (1 - 1) + (-8 - -9)?
0
Suppose -30*r - 171 = -33*r. Calculate the remainder when 168 is divided by r.
54
Let w = -16 - -9. Let h(o) = o**3 + 7*o**2 + 8. Calculate the remainder when 22 is divided by h(w).
6
Let a(v) = v**2 + 2*v + 5. What is the remainder when a(-8) is divided by 18?
17
Let b = 6 - -7. Suppose 2*r - 4*u + 12 = 0, 3*r = r + 5*u - 15. Suppose 2*k - 3*y - 2 = r, -5*y + 3*y = -4. What is the remainder when b is divided by k?
1
Let s = -71 - -140. Calculate the remainder when s is divided by 36.
33
Suppose 3*s - 65 - 10 = 0. Let m be 3 + 0/(1 + -4). Suppose -39 = -m*l - 0*l. What is the remainder when s is divided by l?
12
Let o(i) = -2*i**2 + 15*i + 11. Let n = 5 + 3. What is the remainder when n is divided by o(8)?
2
Let g be (-1 + (-4)/(-2))*0. Suppose -h - 5*r + 14 = -0, -h + r + 32 = g. What is the remainder when h is divided by 8?
5
Suppose 0 = -4*w + 18 - 6. What is the remainder when 2 is divided by 2 - w/(3 + 0)?
0
Let b(u) = 7*u**2 + 7*u - 1. Let r(z) = 7*z**2 + 3*z. Calculate the remainder when b(-3) is divided by r(-2).
19
Let q(i) = -i**2 - 8*i. Let n be q(-8). Suppose -5*h = -n*h - 10. Suppose -84 = -h*a - a. Calculate the remainder when a is divided by 15.
13
Let b(a) = 2*a**2 + 2*a - 3. Let f = 1 - 3. Let s = f - 3. Calculate the remainder when b(s) is divided by 13.
11
Let p = 123 + -50. What is the remainder when p is divided by 25?
23
Let k = 37 - 23. What is the remainder when 26 is divided by k?
12
Suppose -30 = -5*n - 5. Suppose 5*b - 5 = n. What is the remainder when b/(2 - 7/4) is divided by 3?
2
Let z(n) = -2*n**3 - 3*n**2 - 2*n - 1. What is the remainder when z(-3) is divided by 20?
12
Let w = 26 - 4. What is the remainder when 86 is divided by w?
20
Let z be (-14)/21 + 2/(-6). Let m = z + 18. Let d = -1 - -7. What is the remainder when m is divided by d?
5
Let f = 28 - -24. Suppose f = 5*x - 8. What is the remainder when 45 is divided by x?
9
Let y = -21 - -21. Suppose h = -y*h + 4, 3*r - h - 65 = 0. What is the remainder when r is divided by 6?
5
Let t(w) = w - 8. Let j be t(8). Suppose -17 = n - j*n - 5*x, 0 = 5*x - 25. What is the remainder when 23 is divided by n?
7
Suppose 2*a - 3*o - 14 = -1, 3*a + 3*o + 3 = 0. Let g(c) = 9*c**2 + c + 1. What is the remainder when (50/(-8))/(a/(-8)) is divided by g(-1)?
7
Suppose h = -2*a - 2*h + 5, -3*a + 10 = 2*h. Suppose 0*p - 44 = -a*p. What is the remainder when 31 is divided by p?
9
Let c = -11 + 23. Calculate the remainder when 46 is divided by c.
10
Suppose 2*p + p + 30 = -4*j, 4*j = -12. Let z(d) = -d - 3. What is the remainder when 5 is divided by z(p)?
2
Let r(i) = -10*i. What is the remainder when 39 is divided by r(-1)?
9
Suppose p = -2*p - 33. Let h(a) = a**2 + 9*a - 12. Calculate the remainder when h(p) is divided by 6.
4
Let z = -2 - 20. Let k = 64 - z. Calculate the remainder when 34 is divided by k/7 - 8/28.
10
Let q(k) = -k**3 - 7*k**2 - 5*k - 1. Let m be q(-7). What is the remainder when 33 is divided by m/(1*(0 - -2))?
16
Suppose 5*l - 330 = -0*l. Let f = l + -28. Let n = -24 + f. Calculate the remainder when 27 is divided by n.
13
Let l(y) = 4 + 3 + 2 - 2 + 10*y. Let d(q) = 11*q + 8. Let b(f) = 5*d(f) - 6*l(f). What is the remainder when 37 is divided by b(-3)?
11
Let m = -11 - -7. Calculate the remainder when 2*(-1)/(m/168) is divided by 29.
26
Let d = -51 - -106. Suppose 5*m = 5*y + d, -5*y + 14 + 1 = 0. Suppose 9 + 11 = 4*f. Calculate the remainder when m is divided by f.
4
Suppose -2*z = -1 + 5. Let u(q) = -4*q + 2. Calculate the remainder when 17 is divided by u(z).
7
Let v(s) = 3*s**3 - 2*s**3 + 17 + 0*s**3 + s**2. Let h = -50 - -82. Calculate the remainder when h is divided by v(0).
15
Let o(h) = h**2 + 5*h + 1. Let t be o(-5). Calculate the remainder when 26 is divided by t/3 - (-82)/6.
12
Let g = -14 - -165. Calculate the remainder when g is divided by 9.
7
Let r = -32 - -35. What is the remainder when 2*1/(-2)*-11 is divided by r?
2
Let j = 61 - 41. What is the remainder when 53 is divided by j?
13
Let n = -9 - -15. Let g = -12 + 16. Calculate the remainder when n is divided by g.
2
Let j be (-3)/(15/(-50)*2). Let u = 104 + -32. Calculate the remainder when 61 is divided by j/(15/u) - 3.
19
Suppose 0 = 5*m + 9 + 1. Let h = m + 7. Let o = h - -6. Calculate the remainder when o is divided by 6.
5
Suppose 14 = l + m, 0 = -3*l - 2*l - 3*m + 80. Suppose -172 = -26*s + 10. What is the remainder when l is divided by s?
5
Let r = -14 + 25. Suppose -3*y + 0*x - 2*x + 12 = 0, 3*x - 7 = y. What is the remainder when r is divided by 16/y + (-2 - 0)?
5
Let g(i) = -i**2 - 7*i + 9. Let o(d) = -d**3 + d**2 + 3*d + 2. Let s be o(3). Let c = 50 + -34. What is the remainder when c is divided by g(s)?
7
Let p = -44 + 48. Calculate the remainder when 9 is divided by p.
1
Let v(l) = -l**2 - 5*l + 1. Let h be v(-4). Suppose -2*n + 75 = h*x, 3*x + 6*n - n = 45. What is the remainder when 27 is divided by x?
12
Let r(g) = g**2 + 3*g + 8. Calculate the remainder when 49 is divided by r(-6).
23
Suppose 64 = -3*z - 122. Suppose 0 = n - 2*o - 7, -o + 0*o = n - 19. What is the remainder when (z +