f + 110. What is the remainder when f is divided by a?
6
Let x(o) = o**3 - 6*o**2 + 9*o - 32. What is the remainder when x(6) is divided by 8?
6
Suppose 64 = 6*m - 4*m. Calculate the remainder when m is divided by 7.
4
Let r = -62 - -91. Calculate the remainder when 112 is divided by r.
25
Let w be (-2)/(-1*(-1)/17). Let r = w + 57. What is the remainder when r is divided by 12?
11
Let f(v) = -v - 7. Suppose -6 = -c - 0. What is the remainder when c is divided by f(-11)?
2
Let s be ((-2)/(-3))/((-1)/(-6)). Suppose 0 = g + m - 2 - 9, 2*g - s*m - 40 = 0. Let r(k) = -42*k - 1. What is the remainder when r(-1) is divided by g?
13
Let d = -14 - -8. Let y(j) = -2*j + 7. Suppose 0 - 24 = -2*r - 5*z, -2*r + 18 = 2*z. What is the remainder when y(d) is divided by r?
5
Let r = -44 + 55. What is the remainder when 31 is divided by r?
9
Let v(b) = 6*b - 5. Let d(n) = -n**3 - n**2 - n. Let s be d(0). Suppose -5*i - 2*r = -270, -2*r - 8 - 2 = s. Calculate the remainder when i is divided by v(4).
18
Let j = 39 - 37. What is the remainder when j is divided by 1?
0
Let y = -6 + 14. Let h = -35 - -37. Suppose -2 = -h*u + 4. Calculate the remainder when y is divided by u.
2
Let s(t) = -t + 4. What is the remainder when 12 is divided by s(0)?
0
Let i(r) = -14*r - 19. What is the remainder when 293 is divided by i(-4)?
34
Let l be 3 - -2 - (-2)/2. Let d be 5/(-2)*l/(-5). Calculate the remainder when 68 is divided by 40/(2/1) + d.
22
Suppose 2*w - 2*z - 3*z = 42, 0 = -2*w - z + 30. What is the remainder when w is divided by 9?
7
Calculate the remainder when ((-50)/(-75))/(4/162) is divided by 7.
6
Let o(r) = r**2 - 2*r + 1. Suppose -5*x - 200 = 2*b - 7*b, 5*x - 4*b = -202. Calculate the remainder when o(-2) is divided by x/(-9) - 3/(-9).
4
Let u(v) = -v**3 - 10*v**2 - 12*v + 4. Let p be u(-9). Suppose 15 = 2*o - p. Calculate the remainder when o is divided by 8.
7
Let u(z) = z + 31. What is the remainder when u(-9) is divided by 8?
6
Let t(g) = -4*g + 4. Let r be t(-7). Let j = -90 - -147. Let m = j - r. What is the remainder when m is divided by 9?
7
Suppose -13*g - 108 = -16*g. What is the remainder when g is divided by 13?
10
Let l be 0*1/2 + 38. Let n = l - 16. Calculate the remainder when 64 is divided by n.
20
Suppose -25*s = -20*s - 50. Let d = 28 - 1. Calculate the remainder when d is divided by s.
7
Suppose 119 + 31 = 5*b. What is the remainder when 89 is divided by b?
29
Let n be (-12)/10 - 1/(-5). Let p(f) be the first derivative of -5*f**4/2 - f**2 - f - 3. Calculate the remainder when 30 is divided by p(n).
8
Suppose 0 = -2*j + 8 - 4. Suppose -j*g + 41 - 1 = 0. What is the remainder when g is divided by 5*1 - 2/(-1)?
6
Suppose -2*n = -12 + 4. Suppose -n*y - 286 = -4*x + y, 5*y + 64 = x. Suppose s - 35 + 16 = 0. Calculate the remainder when x is divided by s.
17
Let j = 2 - -21. Calculate the remainder when 89 is divided by j.
20
Let l = 19 + -6. What is the remainder when -2*(-1)/(-2) - -38 is divided by l?
11
Suppose 0 = -x + 6 + 52. Calculate the remainder when x is divided by 15.
13
Let w be 8/36 - (-196)/9. Let n = -8 + w. Suppose -3*x - 5*u = -29, -3*x + 3*u + 23 = 2. What is the remainder when n is divided by x?
6
Suppose 2*q = 169 + 5. What is the remainder when q is divided by 30?
27
Let g = -15 - -29. Calculate the remainder when 53 is divided by g.
11
What is the remainder when (39 - 0) + 4 - 0 is divided by 22?
21
Let u = 4 + -3. Let g = 212 - 202. Calculate the remainder when ((-58)/6)/(u/(-3)) is divided by g.
9
Let s = -6 + 21. Calculate the remainder when 49 is divided by s.
4
Let f(w) = -w**2 - 8*w - 7. Let r(h) = -h**3 - 8*h**2 - 8*h - 5. Calculate the remainder when f(-5) is divided by r(-7).
0
Let b be (-1)/(-1 - 12/(-15)). Suppose b*u + 263 - 55 = 3*w, -2*w + 3*u = -137. What is the remainder when w is divided by 16?
13
Suppose 0 = b + 4. Suppose -3*i + 2*s + 109 = 0, 3*i + i + 3*s - 117 = 0. Calculate the remainder when i is divided by b*((-51)/(-4))/(-3).
16
Let g(u) = -u**3 - u**2 + 10*u + 3. Calculate the remainder when 21 is divided by g(-4).
10
Let l(a) = -a**3 + 2*a**2 + 3*a - 2. What is the remainder when 38 is divided by l(-2)?
6
Suppose -c + 12 = -4*c. What is the remainder when (-75)/2*c/6 is divided by ((-2)/3)/((-2)/27)?
7
Let z be (-4)/8*(-12 + 2). Suppose z*b + 4 = 29. What is the remainder when 13 is divided by b?
3
Suppose -26 = -5*k - 86. Suppose -7 = 3*t - 5*r - 0, -t - r = 5. Calculate the remainder when (53 + -2)*t/k is divided by 6.
5
Let n(h) = 13*h - h**2 + h - h + 8 - 3*h. What is the remainder when 65 is divided by n(9)?
14
Let x(b) = 4*b**2 - b - 2. Let a be 56/(-16)*(-8)/14. Suppose 3*z - 95 = -5*m, -4*m - 59 = -3*z + 54. What is the remainder when z is divided by x(a)?
11
Let f(g) = g**3 - 12*g**2 + 12*g - 15. Let o be f(11). Let r(s) = -s**3 - 5*s**2 - 7*s - 4. Calculate the remainder when r(o) is divided by 3.
2
Let p = 18 - 13. Suppose p*j - 20 = -0*j. Suppose -2 = r - 12. What is the remainder when r is divided by j?
2
Let u(y) = 22*y - 1. Calculate the remainder when u(3) is divided by 17.
14
Let v be (2 + -6)*(-222)/8. Suppose 5*w - l = v, w = -0*w + l + 23. Calculate the remainder when 42 is divided by w.
20
Suppose -27*v = -25*v - 44. What is the remainder when v is divided by 6?
4
Suppose 9*y - 4*y = 5, -2*i + y = -65. Suppose 2*a = 5*u - 41, -3*a + 3 = u - 6*a. What is the remainder when i is divided by u?
6
Let w be (-7 + 6)*(1 - 23). Let z = w + 1. Calculate the remainder when 91 is divided by z.
22
Let q = 11 - 12. Calculate the remainder when -1 + (-40)/q + 0 is divided by 14.
11
Suppose 2*s - 2*p = 60, -4*s + 5*p + 134 = 11. What is the remainder when s is divided by (-6)/21 - (-300)/21?
13
Let t = -2 - -7. Suppose 5*u - 119 = 21. Suppose -2*a + 4*s + u = 0, -a + 9 + 5 = 3*s. Calculate the remainder when a is divided by t.
4
Suppose -4*a = -7*a + 33. Calculate the remainder when 29 is divided by a.
7
Let s(k) = 7*k**2 + k + 1 + k**2 + k. Suppose -5*h = 5 - 0. What is the remainder when 12 is divided by s(h)?
5
Suppose 0*z + 3*z - 159 = 0. Suppose 0*b = -2*b + 28. Calculate the remainder when z is divided by b.
11
Let r(b) = 242*b - 1. Let l be r(2). Let q be (-1)/4 - l/(-28). Let n = q - 0. What is the remainder when 33 is divided by n?
16
Suppose 4*h + 7 = 5*c - 174, -c - h + 38 = 0. Calculate the remainder when 69 is divided by c.
32
Let i(d) = 6*d**3 - d**2 + 2*d - 1. Suppose -2*q + 2*j + 28 = 12, -4*q + 59 = 5*j. Calculate the remainder when q is divided by i(1).
5
Suppose -5*t - 3*y = -58, -2*t = 3*t + 2*y - 57. Calculate the remainder when (-2 + 18)*(2 + 0) is divided by t.
10
Let h = 4 - -24. Let s be h/12 - 4/(-6). Suppose -s*m + 2*b + 2*b + 38 = 0, 0 = 4*m + b - 19. What is the remainder when m is divided by 4?
2
Let t = 30 - 14. What is the remainder when t is divided by 12?
4
Suppose v - 13 = -3*z - 3*v, -3*z + 5*v = 23. Let q(f) be the second derivative of -13*f**3/3 + f**2/2 - f. What is the remainder when q(z) is divided by 14?
13
Let z = 209 + -195. Calculate the remainder when 26 is divided by z.
12
Let w = 16 + 22. Let b = -27 + w. Calculate the remainder when 41 is divided by b.
8
Suppose 4*j = -d + 6 + 11, -j + 8 = 4*d. Let y = -9 - -18. Calculate the remainder when ((-42)/y)/((-2)/3) is divided by j.
3
Suppose -2*m - 2*m + 2784 = 0. Calculate the remainder when 68 is divided by m/30 - 1/5.
22
Suppose 195 = h + 4*h. Let u = 4 + h. Let c(l) = -l**3 - 3*l**2 + 7*l. Calculate the remainder when u is divided by c(-5).
13
What is the remainder when 19 is divided by 12 + (-3 - (2 - 4))?
8
Let t = -164 + 193. Calculate the remainder when t is divided by (-3)/(-1)*3 + 1.
9
Calculate the remainder when (10/4)/((-3)/(-42)) is divided by 18.
17
Suppose -3*p + t + 0*t = 11, -2*t = -2*p - 2. Let a = 1 - p. Calculate the remainder when a is divided by 2.
0
Suppose -y + 8 - 2 = 0. Let o = y + -4. Suppose -5*a = c - 44, o*a - 4*a = 2*c - 64. Calculate the remainder when c is divided by 10.
9
Let z(u) = 3*u**2 - 2*u - 1. Let r be z(-2). What is the remainder when 62/3 + (-10)/r is divided by 11?
9
Let m(w) = w**3 + 5*w**2 - 6*w - 4. Let t = -10 + 5. What is the remainder when m(t) is divided by (0 + 42)*(-1)/(-3)?
12
Let d(g) = -7*g - 5. Let s be 11 + (-2)/(-2 - -4). Let m = -4 + s.