5*g = -15, 4*f = 2*g + g - 1. Suppose -5 + 1 = -2*c. What is the remainder when f is divided by c?
0
Let p(x) = x**2 + x + 13. Let o = 5 + 20. Calculate the remainder when o is divided by p(0).
12
Let r = 2792 - 2613. What is the remainder when r is divided by 43?
7
Let i(y) = y + 71. What is the remainder when i(0) is divided by 8?
7
Suppose 3 + 15 = 3*f. Suppose 0*q + f = -2*q. Let w = 14 + q. What is the remainder when 43 is divided by w?
10
Let y(w) = 3*w - 16. Let c be y(7). Suppose 0 = c*z + i - 94, -2*i + 16 = z - 1. Calculate the remainder when z is divided by 8.
3
Let b be -1 + 2 + -1 - 107. Let z = -63 - b. Suppose 5*x = 7*x - z. What is the remainder when x is divided by 6?
4
Let a = -48 - -115. Let h be 6/(-3) - 1 - 6/6. Calculate the remainder when a is divided by (-23)/4*16/h.
21
Suppose 6*m + 11 = 227. Calculate the remainder when 57 is divided by m.
21
Let k(s) = 3*s**3 - 13*s - 1 - 25*s + 16*s**2 + 42*s. Calculate the remainder when 5 is divided by k(-5).
1
Suppose 9*t + 2*m - 110 = 7*t, -2*t + m = -98. What is the remainder when 200 is divided by t?
47
Suppose -17*x + 172 = -15*x + v, 0 = -4*x - 5*v + 338. Calculate the remainder when x is divided by 27.
6
Let u = -131 - -26. Let g be 2/12 + u/(-18). Suppose -17*j = -18*j + g. Calculate the remainder when 21 is divided by j.
3
Let c = 2413 - 2368. What is the remainder when 67 is divided by c?
22
Let f = 165 - 115. Suppose -297 = -10*z - z. What is the remainder when f is divided by z?
23
Let t be ((-2)/(-3))/((110/2205)/11). Let o = 149 - t. Calculate the remainder when 14 is divided by o.
0
Suppose -3*z + 5*z - 8 = 0. Suppose -1 = 5*v + y, 3*y + 0*y + 3 = 2*v. Suppose 1 = d, v*b + 3*b - 15 = -3*d. What is the remainder when z is divided by b?
0
Let x(d) = d**2 + 10*d - 7*d - 1 - 7*d. Let g be x(5). Let r = -2 + g. What is the remainder when 5 is divided by r?
1
Suppose 23 = 4*i + 5*l, -9 = -2*i - l - 2. Suppose 10 = q + 5*r - 13, -3*q + i*r = -35. Calculate the remainder when -1*(-2 - -4)*-11 is divided by q.
9
Suppose -5*k = -f + 370, 0 = -k - 0*f - f - 68. What is the remainder when 15/(-30)*(k - 1) is divided by 10?
7
Suppose g + 4*w = 21, 4*g + 2*w = 244 - 90. What is the remainder when 157 is divided by g?
34
Let q(l) = 4*l - 8. Let d(m) = m + 12. Let u be d(-5). Let v be q(u). Let g = v + -6. What is the remainder when 52 is divided by g?
10
Let x = -99 - -110. Suppose 2*h - 4 = 30. Calculate the remainder when h is divided by x.
6
Let r(c) = 2*c**2 + c + 10. Let x be r(0). Suppose 8*b - x*b + 16 = 0. Suppose 28 = -b*q + 12*q. Calculate the remainder when q is divided by 4.
3
Let v(k) = -k**2 - k + 122. Let m be v(0). Calculate the remainder when (-7 - 2/(-1)) + m is divided by 12.
9
Suppose -2*h = -0*t + 4*t, 0 = 3*h - 4*t. Let z be ((-6)/3 - h) + 26. Suppose -5*d = -3*d - z. What is the remainder when d is divided by 7?
5
Let v be -1 - 1*(8 - -3). Calculate the remainder when (-11 - 4/(-1))*(-54)/21 is divided by (-15)/v*(2 + 2).
3
Let w(h) = h**3 - 14*h**2 + 6. Let m = -6 + 13. Calculate the remainder when m is divided by w(14).
1
Let p = 12 - 6. Let t = -8 - -30. Calculate the remainder when t is divided by ((-22)/p - -1)*-3.
6
Let x(u) = u**3 - 7*u**2 + 6*u - 4. Let k be x(6). Let r(h) = -2*h**2 - h + 2. Let j be r(k). Calculate the remainder when (-1)/((-24)/j - 1) is divided by 4.
1
Suppose 0 = -3*l - 5*f + 92, 53*f + 28 = 57*f. Let a = 24 - 17. What is the remainder when l is divided by a?
5
Suppose 0*t = -2*t + 6. Suppose -5*p = -3*l - 0*p + 86, t*l - 85 = 4*p. Let x = -45 - -179. Calculate the remainder when x is divided by l.
26
Let x(p) = p**3 - 5*p**2 + 5. Let i(d) = -d + 6. Let z be i(7). Let y(g) = 14*g**2 + 2*g + 1. Calculate the remainder when y(z) is divided by x(5).
3
Let a(b) be the third derivative of b**5/60 - b**4/4 - 5*b**3/3 + b**2. Let x be a(8). Calculate the remainder when 3/x - (-45)/6 is divided by 3.
2
Calculate the remainder when (-111)/39 - -3 - 2258/(-26) is divided by 20.
7
Let b = 12 + -8. Let h(p) = -p**3 + 4*p**2 + 3. Let l be h(b). Calculate the remainder when ((-105)/(-10))/(l/4) is divided by 4.
2
Suppose 0 = -35*c + 11*c + 312. What is the remainder when 270 is divided by c?
10
Let n be 6/12 + 47/2. Let v = 40 - n. What is the remainder when v is divided by 6?
4
Let w(a) = 15*a - 57. What is the remainder when w(18) is divided by 48*(2/(-8) - -1)?
33
Suppose -8*j + 0 - 8 = 0. Let o = j + 65. What is the remainder when o is divided by 13?
12
Suppose -15*d + 228 = -13*d. What is the remainder when d is divided by (-2)/(-27)*-3 - 353/(-9)?
36
Suppose 2 = g + 1. Let o(j) = 17*j**3 - j + 2. Calculate the remainder when 70 is divided by o(g).
16
Let f = -42 + 44. Calculate the remainder when 20 is divided by (f/8)/(((-2)/(-56))/1).
6
Let f = -1096 - -1243. Calculate the remainder when f is divided by 15.
12
Let p be (-3)/(4/(80/(-6))). Suppose -p = -0*z - 5*z. Suppose -3*c + 4*r = -4 + 3, -2*c = -4*r + 2. Calculate the remainder when c is divided by z.
1
Suppose -4 = -2*s - 4*r, 2*s - 24 = -3*s + 4*r. Suppose 12*g - s*g = 88. Calculate the remainder when 33 is divided by g.
0
Let i(s) = 2*s - 4. Let u be i(2). Suppose u = 5*o - 0*o - 75. Calculate the remainder when 44 is divided by o.
14
Let x(p) = p**3 - 5*p**2 - 10*p - 10. Let t(k) = -k**2 + 8*k - 5. Let n be t(6). Calculate the remainder when (-84 - 1)*(-6)/10 is divided by x(n).
15
Let s(b) = -22 + b + 0*b + 28. Let g be 1*4 + 0 + 2. What is the remainder when 23 is divided by s(g)?
11
Let z(w) = w**3 - 7*w**2 - 2*w + 21. Suppose 4*p - 3*p = 25. What is the remainder when p is divided by z(7)?
4
Suppose -9*q + 10*q = 2. Suppose 0 = -3*z + 4*v + 64, 0*z + q*v = 5*z - 130. What is the remainder when 51 is divided by z?
23
Let c(v) = -3*v - 2. Let r be c(-3). Suppose -2*b + 1 = -r. Let o = 33 - 19. What is the remainder when o is divided by b?
2
Let j(x) = x**2 - 4*x - 2. Let s be j(5). Let f be 27/45 - (-54)/10. Suppose -f = s*i - 18. What is the remainder when 13 is divided by i?
1
Let g be ((-2)/(-6))/(5/480). Let b = g - 17. Let w(m) = -14*m - 1. Calculate the remainder when w(-2) is divided by b.
12
Let j be 15/(-3)*(-6)/(-5). Let u(t) = -2*t - t**2 - t**3 + 7 + 6*t - 4*t**2 - 8. Calculate the remainder when 42 is divided by u(j).
9
Let p(s) = -2*s**3 + s**2 - 1. Let m be p(-1). Suppose m*k = 6*k - 128. What is the remainder when k is divided by 11?
10
Calculate the remainder when (196/5)/((-26)/(-65)) is divided by 20.
18
Let o(b) = 2*b**2 + 11*b - 10. Let c be o(-7). Suppose c*z - 9*z - 70 = 0. Calculate the remainder when z is divided by 18/(-8)*(-1 - 3).
8
Let c = -93 - -152. What is the remainder when 230 is divided by c?
53
Suppose -4*u + 0*u = -32. Suppose u*a = -5 + 53. What is the remainder when 9 is divided by a?
3
Suppose 0 = -4*k + 20, 75*k - 415 = -4*i + 72*k. What is the remainder when 798 is divided by i?
98
Let x = -523 - -534. What is the remainder when x is divided by 8?
3
Suppose -84 = 5*r - 264. Let o = r - 11. Calculate the remainder when 48 is divided by o.
23
Let s be 16/7 + (-26)/91. Suppose a + 1 = 0, s*o + o + 4*a + 19 = 0. Let x(t) = -3*t - 8. What is the remainder when 18 is divided by x(o)?
4
Let z = 463 + -457. Suppose -4*l + 4*s = 5*s - 119, -3*l + 2*s + 103 = 0. Let v = l - 8. Calculate the remainder when v is divided by z.
5
Calculate the remainder when 6 + 5 - 3 - -234 is divided by 27.
26
Let n be (-63)/((-2)/4 + 2). Let g = n - -78. What is the remainder when g is divided by 19?
17
Let t = 640 - 612. What is the remainder when 38 is divided by t?
10
Let s = 85 - 31. What is the remainder when s is divided by 31/2 - 11/22?
9
Let n = -4 + 1. Let q(u) = 2*u + 1 + 3*u**2 + 3*u - 2*u**2 - 6*u. Calculate the remainder when 23 is divided by q(n).
10
Let d(t) = -6*t + 7. Suppose q - 2 = 1. Suppose -18 = q*z - 0*z. Calculate the remainder when d(z) is divided by 15.
13
Let b = -70 + 123. Suppose 40 = 2*j + 5*m, -b = 3*j - 6*j - 4*m. Suppose 2*z - 67 - 19 = 0. What is the remainder when z is divided by j?
13
Let o = 96 - 11. Let n(i) = 43*i**3 + i**2 + i - 1. Calculate the remainder when o is divided by n(1).
41
Suppose 164 = -5*l + 14. Let t = l + 32. Suppose -t*j - 2*j = -2*z - 114, z + 31 = j. What is the remainder when 49 is divided by j?
23