4. Suppose 0 = d*w + 2*n - 86, 0*w + 2*n + 104 = 3*w. Calculate the remainder when w is divided by 10.
8
Suppose 105 = a - 2*n, -a = a - 3*n - 205. Calculate the remainder when a is divided by 26.
17
Let y be 8/12 - 20/(-6). Suppose -y*h + h + 3 = 0. Calculate the remainder when 5 is divided by (-2)/(-3)*(h - -2).
1
Suppose 3*t - 24 = -9. Calculate the remainder when t is divided by 4.
1
Suppose 2*z + 12 = 5*z. Suppose 0 = -0*t + 4*t - z*h - 56, -3*t + 57 = 2*h. What is the remainder when t is divided by 9?
8
Let c = 19 + -2. Suppose b - c = -0*b. What is the remainder when 31 is divided by b?
14
Let h be ((-61)/(-3))/((-5)/(-30)). Suppose -3*o + 3*r - 7*r = -h, -o - 4*r + 46 = 0. Calculate the remainder when o is divided by 13.
12
Let q(w) = 17*w - 1. What is the remainder when 29 is divided by q(1)?
13
Suppose 2*g + 0*g + 12 = -3*y, -5*y - 5*g = 25. Suppose -2*z - 20 = -60. What is the remainder when 39/(-5)*z/y is divided by 20?
18
Suppose -3*x - 57 = -b - 4, 21 = -x + 2*b. Let m = x - -29. Calculate the remainder when 21 is divided by m.
9
Let y(s) be the third derivative of s**5/60 - s**4/4 + s**3/6 - s**2. What is the remainder when y(7) is divided by 3?
2
Suppose 0*z - 5*z = -25. Suppose 8 = -w + 2*v, z*v = -0*w - 4*w + 20. Suppose -5*p + 100 = -w*p. What is the remainder when p is divided by 11?
9
Suppose -110 = -5*p - 3*m, 5*p - 44 - 41 = 2*m. Suppose 2*j - 3*g = 7, 3*g + 24 = 5*j + 2*g. What is the remainder when p is divided by j?
4
Suppose -25 = 5*g, -g = j + g + 34. Let d = -3 - j. Suppose d + 59 = 5*b. Calculate the remainder when 45 is divided by b.
13
Suppose -3*i = l - 15, -3*l - i - 3 = -4*i. What is the remainder when l/(4 - 3) + 42 is divided by 16?
13
Let c = 45 - 44. Calculate the remainder when 4 is divided by c.
0
Suppose 28 = -3*i + 5*i. Calculate the remainder when i is divided by 4.
2
Suppose -4*y = -2 - 10. Suppose 39 - 3 = f + r, -88 = -y*f + r. Calculate the remainder when f is divided by 16.
15
Suppose 0 = -4*m + 68 - 16. Let n = 12 - 8. Suppose p + 6 = 3*v + 6*p, -n*v - p + 25 = 0. Calculate the remainder when m is divided by v.
6
Suppose -3*x + 54 = -x. What is the remainder when 105 is divided by x?
24
Suppose -342 = -4*w - 106. Calculate the remainder when w is divided by 32.
27
Suppose -4*x - 9 + 85 = 0. What is the remainder when 56 is divided by x?
18
Suppose -7 = -4*o + 1. Suppose o*b - 20 = -3*b. What is the remainder when b is divided by 3?
1
Let z(w) = -w**3 - 4*w**2 - 4*w**2 - 6 + 4*w - 13*w. Let i = 1 + 2. What is the remainder when z(-7) is divided by i?
2
Let c = -6 + 24. What is the remainder when 66 is divided by c?
12
Let c(v) = 7*v**3 - 17*v**2 - 15. Let t(j) = 6*j**3 - 16*j**2 - 14. Let i(q) = 5*c(q) - 6*t(q). What is the remainder when (-8)/10*(-65)/2 is divided by i(11)?
8
Let h(y) = -y**3 + 7. Let s be h(0). Let f = s - -28. What is the remainder when f is divided by 9?
8
Suppose 88*a + 112 = 96*a. Calculate the remainder when 52 is divided by a.
10
Let w(y) = -y**2 - 22*y. What is the remainder when 117 is divided by w(-20)?
37
Let i(c) = c**2 - 7*c - 4. What is the remainder when i(-6) is divided by 19?
17
Suppose 76 = 5*b - 3*b. Calculate the remainder when 110 is divided by b.
34
Suppose 145 = 4*b + b. Suppose 0 = q - b. Let a = -11 + 21. Calculate the remainder when q is divided by a.
9
Suppose 7 = 5*u - 8. What is the remainder when 14 is divided by u?
2
Suppose -4*m + 7*m = 0. Suppose m*h - 1 = -h. Calculate the remainder when h is divided by 1.
0
Let c(x) = x - 13. Let b be c(14). Calculate the remainder when 15 is divided by -10*4*b/(-10).
3
Let k = 7 + -3. Suppose 0 = -4*i + 3*i + 10. Calculate the remainder when i is divided by k.
2
Let f = 20 + -25. Let y = f - -18. What is the remainder when 23 is divided by y?
10
Let m = -22 - -28. Calculate the remainder when m is divided by 3.
0
Suppose -4*v = -45 - 11. What is the remainder when 40 is divided by v?
12
Let x(q) = -9*q - 7. Calculate the remainder when x(-4) is divided by 10.
9
Let k = -36 + 129. Calculate the remainder when k is divided by 12.
9
Let j(r) = 3*r**2 - 4*r - 3. What is the remainder when 67 is divided by j(-2)?
16
Let m(i) = i**2 - 16*i - 8. Calculate the remainder when m(19) is divided by -2 + 1 - (-12 - 2).
10
Suppose -19 = 5*h - 184. Calculate the remainder when h is divided by 9.
6
Let c(j) = 3*j**2 - 4*j + 3. Let r(k) = 2*k**2 + 5*k + 11. What is the remainder when r(0) is divided by c(2)?
4
Let r(h) = h**2 + 4*h - 6. Let t be r(6). Suppose -3*z + t = -z. What is the remainder when z is divided by 14?
13
Suppose -1 = -q - 0*q - 2*m, -q = -2*m - 13. What is the remainder when 24 is divided by q?
3
Suppose 0 = -8*y - 0*y + 168. Let v = 0 - 4. Let w(o) = -15*o + 2. What is the remainder when w(v) is divided by y?
20
Let z be (2 - 0)/((-6)/(-21)). Let q = z + -4. Suppose -3*d - 4 = -16. What is the remainder when d is divided by q?
1
Let t = 18 + -2. Calculate the remainder when (-1)/2*2*-47 is divided by t.
15
Let d = 43 + -6. What is the remainder when 109 is divided by d?
35
Calculate the remainder when 22 + (-3)/(-1) + (-4)/(-2) is divided by 10.
7
Let l be 1 + -1 - (1 + 1). Suppose 0 = -m + 3*x + 29 - 7, -x = 3*m - 36. What is the remainder when m is divided by (l/4)/(2/(-28))?
6
Let a = 19 - 5. Let l = a + -2. Calculate the remainder when l is divided by 7.
5
Let i(t) be the third derivative of -t**4/4 - t**3/3 - 3*t**2. Calculate the remainder when i(-4) is divided by 8.
6
Calculate the remainder when 1/(2 - 687/345) is divided by 39.
37
Suppose -7 = -2*d + 19. What is the remainder when 45 is divided by d?
6
Let y(z) = -32*z + 88. What is the remainder when y(-9) is divided by 18?
16
Let h be 5*-3*4/(-30). Let s(i) = -2*i. Let n be s(-2). Suppose -7*m + 52 = -n*m - 4*u, 0 = h*u + 8. What is the remainder when 23 is divided by m?
11
Let t = 57 + -28. What is the remainder when t is divided by 17?
12
Suppose -5*o - 15 = w - 115, -o = 3*w - 20. Let m = 106 - 68. Calculate the remainder when m is divided by o.
18
Let b(z) = -z**3 + 3*z**2 + 7*z - 5. Let a be (-2)/(-4)*(-2 - 0). Let n(l) = -4*l. Let x be n(a). Calculate the remainder when b(x) is divided by 3.
1
Let s(c) = c**2 + c. What is the remainder when s(3) is divided by 3?
0
Suppose j = 3*j - 4. Suppose -j*b = -5*b + 30. Let q(r) = 3*r**3 - 2*r**2 + 3*r - 3. What is the remainder when q(2) is divided by b?
9
Suppose -4*f = 4*z - 128, -3*f + 101 = -z + 5*z. What is the remainder when f is divided by 0/(-1) - (-14 + 7)?
6
Let m(l) = 4*l**3 + l**2 + l + 1. Suppose 4*c = -4*j + 36, 2*j - 3 = 4*c - 69. Calculate the remainder when m(2) is divided by c.
11
Let r(j) = -j**3 - 5*j**2 + 5*j - 2. Let d be r(-6). What is the remainder when d/8 - 68/(-8) is divided by 6?
3
Let t = 6 + 1. Let v = 52 - 27. Calculate the remainder when v is divided by t.
4
Suppose k + 5 - 27 = 0. Let l = 6 - -2. What is the remainder when k is divided by l?
6
Suppose -3*q + 212 = -0*p + 5*p, -4*q + 296 = 4*p. Let f(g) = -g**3 - 3*g**2 + 5*g - 5. Calculate the remainder when q is divided by f(-5).
19
Calculate the remainder when (12/(-9) + (-170)/(-15))*2 is divided by 12.
8
Suppose -3*t + 11 = -25. Let u = 0 + -1. Let p = t + u. Calculate the remainder when 32 is divided by p.
10
Calculate the remainder when 45/27*3*5 is divided by 15.
10
Let r(k) = 2*k**3 - k**2 + 3*k - 1. Let p(j) = 0 + j - 3 + 0 + 2. Let i be p(3). Calculate the remainder when 49 is divided by r(i).
15
Suppose -25*i + 158 = -23*i. Calculate the remainder when i is divided by 20.
19
Let g be -1 + 0 + (3 - 2). Suppose 2*m - 42 = -g*m. Suppose -46 = -4*s - q, -q + 38 - 3 = 3*s. Calculate the remainder when m is divided by s.
10
Suppose o - 42 = 1. Calculate the remainder when o is divided by 15.
13
Suppose -61*r + 55*r = -270. Calculate the remainder when r is divided by 32.
13
Let i = 5 + -3. Calculate the remainder when 29/4 + 2/(-8) is divided by i.
1
Suppose z - 4*n = 17, -4*n = -2*z + 16 + 2. Calculate the remainder when 2 is divided by z.
0
Let w(a) = -27*a**3 + 3*a**2 + 3*a + 1. What is the remainder when 138 is divided by w(-1)?
26
Suppose 3*w - 5*l = 82, l - 73 = -2*w - 1. Suppose 4*y + 5*v - 64 = v, -4*y + 52 = v. What is the remainder when w is divided by y?
10
Let g = 129 + -79. What is the remaind