5. What is the remainder when s is divided by f(-4)?
12
Suppose 4*g + v = 4*v + 11, 29 = 4*g + 3*v. Calculate the remainder when 67 is divided by g.
2
Calculate the remainder when 3/(-3)*-1 - -177 is divided by 30.
28
Let i(r) = -10*r**2 + r - 2. Let g be i(-2). Let m = g + 26. Calculate the remainder when (m/(-27))/((-4)/(-78)) is divided by 5.
3
Suppose 3*k - 1 = 2. What is the remainder when 15*k + (-6)/(-3) is divided by 9?
8
Let x = 25 + -13. Suppose -5*u - x = 2*n - 49, 0 = 4*n - 2*u - 134. Calculate the remainder when 60 is divided by n.
29
Let j = 1 - -12. Let a(k) = 26*k - 3. What is the remainder when a(2) is divided by j?
10
Let k(w) = -4*w - 4. Let o be k(-3). Suppose -4*q = 3*u, 10 = -2*q + 5*u - 4*u. Let t = o + q. What is the remainder when 13 is divided by t?
3
Suppose -2*i - 1 = -7. Calculate the remainder when 50 is divided by (i/(-6))/((-5)/130).
11
Suppose -2*f = 2*h + 3*h - 71, 2*h + 3*f - 35 = 0. Calculate the remainder when 15/(-2)*10/(-3) is divided by h.
12
Let d(m) = -m**2 + 7*m + 5. Suppose x + 3*x + 12 = 0. Let z be (x/6)/((-1)/14). Calculate the remainder when 13 is divided by d(z).
3
Let a(t) = -t**2 + 5*t + 5. Let s be a(4). Let v = s - -4. Calculate the remainder when 24 is divided by v.
11
Let c = -60 - -100. Let m = c + -22. What is the remainder when m is divided by 10?
8
Let g = -122 + 134. Calculate the remainder when 58 is divided by g.
10
Let g = 47 - 10. What is the remainder when 72 is divided by g?
35
Suppose -4*c - 2*a = -12, -4*c + 9 = a - 5. Let k be c/6*(-1 - 2). Calculate the remainder when 24 + (4 - 2) + k is divided by 13.
11
Suppose 4*x = 2*q + 79 + 141, -q = -x + 57. Calculate the remainder when x is divided by 11.
9
Suppose 5*j - 5*v = 100, -3*v = -j + 2*j - 24. Suppose -2*p + 28 = -134. Calculate the remainder when p is divided by j.
18
Let q(a) = -a**2 - 10*a - 2. Let t be q(-9). Let w(g) = g**2 - 7*g + 5. Let i(u) = -u**2 - 4*u - 2. What is the remainder when w(t) is divided by i(-2)?
1
What is the remainder when 42 is divided by ((-220)/40)/((-1)/2)?
9
Suppose -3*a - 2*r + 154 = 3*r, 3*a = 3*r + 138. Calculate the remainder when a is divided by 17.
14
Suppose 5*u + 0 = -10. Let k = u - -2. Suppose k = 5*p + 1 - 21. What is the remainder when 7 is divided by p?
3
Let b = -38 + 47. What is the remainder when 20 is divided by b?
2
Let g(w) = -4*w - 25. Suppose 14 = -2*o + o. Let u = o - -26. What is the remainder when g(-15) is divided by u?
11
Suppose 0 = -3*p - p + f + 69, 0 = 4*p - 3*f - 63. What is the remainder when 52 is divided by p?
16
Let z(a) = 27*a**2 + 2*a + 1. What is the remainder when 102 is divided by z(-1)?
24
Suppose -t - 2*u = 9, 0*t + 3*t + 4*u = -25. Calculate the remainder when ((-2)/4)/((-2)/68) is divided by 0 - -3 - (t + 0).
7
Let w = 6 + -3. Suppose -3*d + 2*d = -7. Calculate the remainder when d is divided by w.
1
Let g be 3 + (2 - 2 - 2). Suppose -m - 4*n - 11 = 0, 5*m - g = -2*n + 34. What is the remainder when m is divided by 4?
1
Let d = -185 + 213. What is the remainder when 131 is divided by d?
19
Suppose 0 = -4*q, -5*q = -v - 4*v + 5. Calculate the remainder when 43 is divided by v - -2 - -2*6.
13
Calculate the remainder when -2 + (-2462)/(-10) + 4/(-20) is divided by 35.
34
Suppose 2*c + 5*v - 221 = 4*v, 5*c - 2*v - 539 = 0. Calculate the remainder when c is divided by 38.
33
Suppose 2*a + 3*a - 15 = 0. Let b be 0 + (-12)/(a + -6). Suppose 3*n = 5*w - b - 9, 20 = 5*n. Calculate the remainder when w is divided by 4.
1
Let k(q) = 4*q - 1. Let f be (6 - 2)*2/(-4). What is the remainder when -2*(1 + f) + 4 is divided by k(1)?
0
Let w(n) = n**2 - 3*n + 1. Let z be w(6). Suppose -4*d + z + 37 = 0. Calculate the remainder when 54 is divided by d.
12
Suppose -2*n + 20 = 2*n. What is the remainder when (-4)/((-20)/(-15)) + 16 - 1 is divided by n?
2
Suppose g + 3 = 54. Calculate the remainder when g is divided by 13.
12
Let l = 8 - 5. Calculate the remainder when (0 + l)*(-7)/(-3) is divided by 4.
3
Let c be 7 - (-1 - (0 + 1)). Suppose 0 = -2*j + 5*j + c. Calculate the remainder when 0/(j + 1) - -26 is divided by 14.
12
Let m be 2*4/(24/9). Suppose 4*x + m*b = 46 + 337, 5*x + b = 476. What is the remainder when x is divided by 24?
23
Let n(d) = -d + 4. Let r be n(-5). Let x = -1 + r. Let k(s) = 2*s**2 + 5*s + 2. Calculate the remainder when k(-4) is divided by x.
6
Calculate the remainder when 4/(48/1172) + (-10)/15 is divided by 25.
22
Suppose t = 37 + 11. Suppose 5*p - 22 = t. What is the remainder when 55 is divided by p?
13
Let i = 17 - 12. Suppose 5*n = i*z - 50, -4*z - n = -49 + 9. What is the remainder when 28 is divided by z?
8
Let h = 9 - 18. Let d(o) = -o**3 - 9*o**2 + o + 13. Let l(a) = -a**2 + 6*a + 5. What is the remainder when l(5) is divided by d(h)?
2
Let p(f) = -4 + 4*f**2 + 9 + 4*f - 3*f**2. Calculate the remainder when 17 is divided by p(-5).
7
Suppose 7*r = 214 - 11. What is the remainder when 113 is divided by r?
26
Let k(h) = 10*h - 29. What is the remainder when 202 is divided by k(8)?
49
Suppose 2*s + 408 = 3*u - s, -2 = s. Suppose 3*z = u - 35. What is the remainder when z is divided by 17?
16
Let x be (2/1 - 4) + 4. Suppose -u = -x, 5 - 2 = -5*h + 4*u. Suppose 2*i = h + 17. Calculate the remainder when 26 is divided by i.
8
What is the remainder when 9*-5*(-6)/5 is divided by 22 + (-5 - (2 + -4))?
16
Suppose 3*k - 404 = 22. What is the remainder when k is divided by 29?
26
Let h(u) = u**3 - 6*u**2 + 6*u - 6. Let r be h(5). What is the remainder when (-33)/6*(r + -1) is divided by (-40)/(-6) + (-4)/6?
5
What is the remainder when 144 is divided by (-224)/(-6) + (-5)/(-30)*-2?
33
What is the remainder when 1*(0 - 1)*-55 is divided by 19?
17
Let u = 12 - 21. Calculate the remainder when 80/6*u/(-4) is divided by 1 + (2/2 - -14).
14
Let r = 15 + -14. Calculate the remainder when 3 is divided by r.
0
Let u(p) = 13*p**2 + p + 2. Let j(y) = 4*y**2 - y. What is the remainder when u(-1) is divided by j(-1)?
4
Let x(n) be the first derivative of 2*n + 1/3*n**3 - 4 - 1/4*n**4 + 0*n**2. Calculate the remainder when 5 is divided by x(0).
1
Let a(y) be the first derivative of 2*y**2 - 5*y - 7. What is the remainder when a(7) is divided by 8?
7
Calculate the remainder when 27 is divided by (-2)/(-4) + 234/36.
6
Suppose 2*p + 120 = 5*t - 5, -3*p = -4*t + 93. Calculate the remainder when t is divided by 7.
6
Suppose 0 = -3*r - m + 2*m + 11, -33 = -5*r - 2*m. Let q = -3 - -18. Let d = 23 - q. What is the remainder when d is divided by r?
3
Let f(q) = -2*q + 4. Let g = 117 - 71. Suppose -2*y - 2 = -g. Calculate the remainder when y is divided by f(-4).
10
Let u(f) = f**3 - 8*f**2 - 8*f - 8. Let w be u(9). Suppose 5*p + 21 = -2*j + 83, -4*j - 2*p = -156. What is the remainder when j is divided by 16/w - (-5 + 7)?
13
Suppose 2*i = 4*y + 208, -3*y + 4*y + 104 = i. Calculate the remainder when i is divided by 27.
23
Let m(w) be the third derivative of -w**2 + 0*w - 1/24*w**4 + 1/15*w**5 + 0 + 1/3*w**3 - 1/120*w**6. What is the remainder when m(3) is divided by 3?
2
Suppose -q = -3*f - 4*q + 42, -2*f - q = -29. What is the remainder when 2100/(-90)*12/(-10) is divided by f?
13
Suppose -9*j = -14*j + 595. What is the remainder when j is divided by 24?
23
Let v be (-3 - -5) + 2*1. Suppose -8 = -v*h - 0. Let f = 5 + h. Calculate the remainder when 13 is divided by f.
6
Let w = -9 + -3. Let n = 18 + w. Let o(k) = 3*k + 4. Calculate the remainder when 43 is divided by o(n).
21
Let t = -29 - -48. Let r = 0 - -4. Suppose r*s = 61 + 83. What is the remainder when s is divided by t?
17
Suppose 3*m - 115 - 92 = 0. Suppose -m + 19 = -5*d. Let h = 43 + -14. Calculate the remainder when h is divided by d.
9
Suppose 10 = -4*q - q. Let y = 25 + q. Calculate the remainder when (402/(-12))/((-1)/2) is divided by y.
21
Let q = -6 - -36. Suppose -5*b - 160 = -5*w, -w + 3*b + q = -0*b. Calculate the remainder when w is divided by 17.
16
Suppose 0 = 3*f + 9, o + o - 5*f = 55. Suppose 0*k + k = 0. Suppose -3*s + 28 - 7 = k. Calculate the remainder when o is divided by s.
6
Suppose -2*k + 4*k = 182. Let i = -47 + k. What is the remainder when i is divided by 15?
14
Let f = 3 - 0. Suppose 4 = -f*h + 10. Suppose -11 - 5 = -4*w. Calculate the remainder when w is divided by h.
0
Let i(r