Calculate the remainder when 11 is divided by z(f).
4
Let u(o) = -o**2 - 7*o - 9. Let x be u(-6). Suppose -4*m + m + 4*w = -36, 0 = -2*w - 6. What is the remainder when 1 + 12 + x + 5 is divided by m?
7
Let q(l) = -l**3 - 5*l**2 + 15*l + 2. Let g(u) = -u. Let n(i) = 6*g(i) + q(i). What is the remainder when n(-7) is divided by ((-52)/(-6))/((-2)/(-3))?
11
Suppose 7*d - 2*d + 3*m = 5, -5*d - 15 = -m. What is the remainder when (0 + -1)*d*10 is divided by 11?
9
Let r(s) = s**2 - 12*s - 3. Suppose m = 4*m - 57. What is the remainder when m is divided by r(13)?
9
Let k = 2 - 9. What is the remainder when 33 is divided by (k/((-14)/68))/2?
16
Suppose 7*p + 34 = 5*a + 6*p, 4*a + 4*p = 32. What is the remainder when 53 is divided by a?
4
Let b(f) = -13*f + 1. Let p be b(1). Calculate the remainder when 40 is divided by ((-9)/p)/((-3)/(-84)).
19
Suppose -2*h + 14 = 10. Let x be 15/(-4) + 4/(-16). What is the remainder when ((-2)/x)/(2/16) is divided by h?
0
Let t = -28 - -36. Calculate the remainder when 16 is divided by t.
0
Suppose -n = 2*n - 27. Calculate the remainder when (6/n)/(2/33) is divided by 3.
2
Let g(l) = 5*l**3 + 10*l**2 + 6*l + 13. Let u(t) = 9*t**3 + 19*t**2 + 12*t + 25. Let n(o) = -11*g(o) + 6*u(o). What is the remainder when 35 is divided by n(5)?
11
Let z(h) = 3*h - 1. Calculate the remainder when z(1) is divided by 1.
0
Let l(u) = -u**3 + 20*u**2 - 17*u - 27. Calculate the remainder when 43 is divided by l(19).
10
Suppose 4*b - 7*b + 40 = 2*k, -8 = 2*k. Suppose v - 5*v + 36 = 0. Calculate the remainder when b is divided by v.
7
Let l = -18 + 17. Calculate the remainder when 6/(3/l) + 68 is divided by 17.
15
Let m(v) = 30*v**3 - 2*v**2 + 1. Let o(t) be the third derivative of -t**4/8 - t**3/2 + 2*t**2. Calculate the remainder when m(1) is divided by o(-6).
14
Calculate the remainder when 23 - 20 - (2/(-1) - 42) is divided by 2/(26/12 - 2).
11
Calculate the remainder when 29 is divided by 4/10 - 624/(-240).
2
Let l(d) = d**3 + 4*d**2 - 5*d + 3. Let v(h) = h**2 - 5*h - 4. Let z be v(5). Let k(n) = n**3 + 5*n**2 - 6. What is the remainder when l(z) is divided by k(-3)?
11
Suppose -3*h - 43 = -3*m - 115, -4*m = 4*h + 136. Let y = 3 - m. What is the remainder when y is divided by (-3)/(-3)*19 + -2?
15
Let z(g) = -g**2 + 7*g + 8. Let c be (7/(-2))/((-4)/8). Calculate the remainder when 13 is divided by z(c).
5
Let o be (6/5)/(8/(-20)). Let t be (o - (-3 - 14)) + 3. Suppose t + 24 = d. What is the remainder when d is divided by 14?
13
Let a = 48 + -28. Let n(g) = -9*g**3 + 4*g**2 + 5*g. Calculate the remainder when n(-2) is divided by a.
18
Let a = 16 + 3. Suppose 2*c = -5*o + 25, c + c - a = -3*o. Suppose -4*x + 4 = 3*s, -x - 5*s = -5*x + 36. What is the remainder when x is divided by o?
1
What is the remainder when 193 is divided by 5 - (-10 - 1/(-1))?
11
Suppose 0*z + 3*z = 4*g + 39, 4*g + 3*z = -33. Let c = 30 + g. Let p = 201 + -139. What is the remainder when p is divided by c?
20
Suppose 0 = 4*u + 3 - 55. Let h = u + -5. Calculate the remainder when 15 is divided by h.
7
Let a(d) = d**2 - 6*d - 7. Suppose 0 = -2*y + 5*b + 24, 5*b - 10 = -0*b. Calculate the remainder when y is divided by a(8).
8
Let x be (2 + 4)*(-1)/3. Let m be 0/(x/(-6)*3). Suppose 2*a - 96 + 38 = m. Calculate the remainder when a is divided by 15.
14
Suppose 4*j + 15 = j. Let h = 13 + j. Calculate the remainder when 31 is divided by h.
7
What is the remainder when (-118)/(-4) - 5/10 is divided by 8?
5
Let j = -10 - -6. What is the remainder when (0 + 1)/(2/22) is divided by j*(0 - -3)/(-3)?
3
Let q(i) = -3*i + i**2 + 5*i + 14 + 0*i + 4*i. What is the remainder when q(-10) is divided by 19?
16
Suppose 0 = 2*a - 0*a - 130. Let x = -22 - -44. Calculate the remainder when a is divided by -3 + 1 + 2 + x.
21
Let w(d) = -d + 10. Suppose 0 = -2*c + 3 - 1. Suppose -p + c = -7. Calculate the remainder when w(p) is divided by 2.
0
Suppose 6 = -5*g + 3*c, -2*c = -3*g + c. Let r(t) = t - 7. Let s(m) = -2*m + 8. Let q(i) = g*s(i) - 4*r(i). Calculate the remainder when 27 is divided by q(3).
7
Let r(g) = g**3 - 8*g**2 + 7*g - 1. Let p be r(6). Let l = 4 - 6. What is the remainder when 2*(1 + p/l) is divided by 12?
9
Let o(r) = r + 82. Calculate the remainder when o(0) is divided by 21.
19
Let g = 6 - -8. What is the remainder when 23 is divided by g?
9
Suppose 0*h - 5*h + 199 = -2*n, h = -3*n + 33. Suppose 5*o + h = 8*o. Calculate the remainder when 37 is divided by o.
11
Suppose 5*v - c - 3 = 26, 4*c = -v - 11. Suppose -1 = 2*y + 3*w, 6*w - 8 = y + 10*w. What is the remainder when v is divided by y?
1
Let c(b) = 4*b**2 - 1. Calculate the remainder when c(-2) is divided by 4.
3
Let g(v) = 2*v**2 + 6*v. Calculate the remainder when g(-4) is divided by 6.
2
Let c = 101 - 67. Suppose 0 = 2*g + 7 - 19. Calculate the remainder when (c/(-4))/((-1)/2) is divided by g.
5
Let l be (-12)/(-18)*(-3)/(-2). Suppose -5*c + 17 = a, 2*c - c = a + l. Suppose -16 = -2*v - a*v. What is the remainder when 14 is divided by v?
2
Let j = 5 + -9. Let f = 0 + j. Let w(a) = 2*a**2 - a - 4. What is the remainder when w(f) is divided by 17?
15
Suppose -4*d + 108 = 2*o, 0 = -2*o - 2*d + 49 + 63. Calculate the remainder when o is divided by 6.
4
Let m be (-4 + 2)*(-7)/(-2). Let x(u) = u + 10. What is the remainder when 5 is divided by x(m)?
2
Let u(m) be the second derivative of m**4/12 + m**3/3 - 3*m**2 + 2*m. What is the remainder when u(-5) is divided by 3/(-18)*-3*10?
4
Suppose 3*s + 3 = -0. Let n(h) = -14*h - 1. Suppose 0 = -4*l + p + 120 + 36, 4*p + 130 = 3*l. Calculate the remainder when l is divided by n(s).
12
What is the remainder when (143 - -1*1)*(-20)/(-40) is divided by 25?
22
Suppose 29 + 3 = 4*v. What is the remainder when 23 is divided by v?
7
Let v be 89 + 3/(-1) + 1. Suppose 4*z = z + v. Calculate the remainder when z is divided by 10.
9
Suppose 0 = -41*j + 46*j - 15. Let o(z) = -27*z**3 + z**2 + z. Let l be o(-1). Suppose j*s + 0 = l. What is the remainder when 16 is divided by s?
7
Let v(d) = d**2 - 7*d + 8. Let w be v(6). Let c(r) = -w - r**2 - 2 + 0*r + 5*r + 0*r**2 + r**3. What is the remainder when c(3) is divided by 16?
13
Let i(z) = 7*z**2 - 2*z. Calculate the remainder when i(-2) is divided by 3/(-2)*2 - -20.
15
Let f(l) = 2*l - 5. Let k be f(4). Suppose 0 = -2*z + 4*g + 160, -k*z - 3*g + 320 = z. What is the remainder when (-1*3)/((-12)/z) is divided by 11?
9
Let h(z) = -z**3 - 3*z**2 - 3*z + 1. Let b be h(-3). What is the remainder when 74 is divided by (-15)/b*(-114)/9?
17
Suppose 0 = -3*x + 4*h - 2, -5*x = -4*h + 1 - 3. Suppose 28 = -x*v + 68. What is the remainder when 39 is divided by v?
19
Let a(v) = -v**3 - v**2 + v - 63. Let p be a(0). Let j = -99 - -68. Let h = j - p. What is the remainder when h is divided by 11?
10
Suppose 4*h + 21 - 57 = 0. Suppose 10*q = h*q + 10. What is the remainder when 28 is divided by q?
8
Let z = -5 - -11. What is the remainder when 11 is divided by 64/12 - (-4)/z?
5
Suppose 0 = -12*b + 17*b - 15. Calculate the remainder when b is divided by 2.
1
Let v(h) = h**2 - 2*h + 22. What is the remainder when v(0) is divided by 4?
2
Suppose 2*j + 3 = j + 2*y, -4 = -y. Suppose -h - 3*c + 2 = -3*h, 0 = -5*h + j*c. Calculate the remainder when h is divided by ((-4)/(-5))/((-36)/(-90)).
0
Suppose 5*d = -9 + 49. Let u(t) = 22*t. Let g be u(1). Suppose 2*b = 4*r + g, -5*b + 2*r = -8 - 15. Calculate the remainder when d is divided by b.
2
Suppose 5*t - 3 - 27 = 0. Let l(o) = o**3 + 3*o**2 - 5*o - 2. Let j be l(-4). What is the remainder when (-10)/((-1 - 2) + j) is divided by t?
4
Let t be (-2)/(-6) + 4/(-3). Let g = t - -10. What is the remainder when 33 is divided by g?
6
Let p = -99 - -186. What is the remainder when p is divided by 30?
27
What is the remainder when 1/(4*(-2)/(-424)) is divided by 14?
11
Let r(y) = y**2 + 3*y - 261. What is the remainder when r(15) is divided by 3/(-1 - -1 - -1)?
0
Let y(j) = 4*j - 27. What is the remainder when y(21) is divided by 29?
28
Let r(m) = m**3 + 5*m**2 - 8*m - 6. Let j(v) = v**3 - 8*v**2 + v + 8. What is the remainder when j(8) is divided by r(-6)?
4
Let t be (6/(-10))/(11/(-275)). Let h(x) = 9*x**2 + 2*x + 1. Let r be h(2). Let w = r - t. Calculate the remainder when w is divided by 14.
12
Let b(v) = 8*v*