 43 is divided by x.
21
Calculate the remainder when ((-19)/(-2) + -4)*14 is divided by 20.
17
Let d(u) = u**3 - 5*u**2 + 4. Let g be d(5). Suppose -g*s = 18 - 58. What is the remainder when s is divided by 3?
1
What is the remainder when ((-1)/((-5)/(-24)))/(2/(-10)) is divided by 14?
10
Suppose -2*m + 4*v = -90, -3*v = 10 + 5. What is the remainder when m is divided by 19?
16
Let o(w) = -w + 3. Let h be o(4). Calculate the remainder when (31*1)/((-1)/h) is divided by (-32)/3*54/(-36).
15
Suppose q - 56 = 5*m, q + 4*m = -q + 112. Let o = 39 + -20. Calculate the remainder when q is divided by o.
18
Let x(j) be the first derivative of -4 + 7/2*j**2 + j. Calculate the remainder when x(4) is divided by 10.
9
Let d(l) = l**2 + 25. Let f = -9 - -9. Let p(o) = 12*o**2 + 2*o - 3. Calculate the remainder when p(2) is divided by d(f).
24
Suppose -144 = -3*h + 5*f, -5*f + 295 = 5*h + 95. Suppose -h = -4*p - 3*y, -3*p - 4*y + 21 = -13. Calculate the remainder when p is divided by 6.
4
Let r(n) = n**3 - n - 2. What is the remainder when 43 is divided by r(3)?
21
Let c(o) = -6*o. Calculate the remainder when 33 is divided by c(-2).
9
Let a(n) = -n**3 - 7*n**2 - 2*n - 8. Let t be a(-7). Let v be ((-15)/(-20))/((-1)/4). Let y = t + v. Calculate the remainder when 5 is divided by y.
2
Let v = 48 + 8. Suppose -4 = -2*q + 3*f - 2, -f - 24 = 4*q. Let o = 14 - q. Calculate the remainder when v is divided by o.
18
Let v = 189 + -75. Suppose 70 = 4*m - v. What is the remainder when m is divided by 16?
14
Suppose x - 90 = -5*y + 3*x, 4*y - 84 = 4*x. Let a = 37 - 7. What is the remainder when a is divided by y?
14
Suppose -140 = 5*h - 20. Let d = h + 47. What is the remainder when d is divided by 5?
3
Suppose 1111*n + 18 = 1117*n. Calculate the remainder when -1 + (-1)/((-2)/20) is divided by n.
0
Let k = 13 + -8. Let h(d) = -d**2 - 4*d + 1. Let f be h(-4). What is the remainder when ((-1)/(-3))/(f/27) is divided by k?
4
Let p(v) = 4*v + 1. Calculate the remainder when p(4) is divided by 6.
5
Calculate the remainder when 13 is divided by -1*(1 - -3)*-1.
1
Suppose -2*k + 1 = 5*q, 5*q + k + 2 + 0 = 0. Let i be (-10)/(-4) + q/(-2). Let o(s) = s**3 - s**2 - 4. What is the remainder when o(i) is divided by 5?
4
Let n(l) = -l + 1. Let a be n(-2). Let q be (0 - (2 - a)) + 0. Suppose -4 = -3*f - q. What is the remainder when 1 is divided by f?
0
Let p = -51 + 64. What is the remainder when 24 is divided by p?
11
Let z(j) = -12*j + 27. Calculate the remainder when z(-10) is divided by 37.
36
Let j = 84 - 124. Let x = j + 57. What is the remainder when x is divided by 9?
8
What is the remainder when (-1)/(0 - 5/135) is divided by 16?
11
What is the remainder when (620/10)/(2*1) is divided by 8?
7
Let d(l) = 9*l**2 - 2*l + 1. Let b be d(1). Suppose 11*f = b*f + 9. Suppose -2*n = -f*n + 13. What is the remainder when n is divided by 7?
6
Suppose -5*y + 6 = -2*y. Suppose 0 = -y*a + 5*p, -4*a + p = -0*a. Suppose -4*l - 31 + 91 = a. Calculate the remainder when 28 is divided by l.
13
What is the remainder when 33*1 + 7/(-7) is divided by 11?
10
Suppose 2*o - 8 = 2*v, v - 2*v = -5*o + 20. Suppose -54 - o = -2*y. What is the remainder when y is divided by 8?
5
Let d(y) = 4*y - 2*y + 8*y**2 + y**3 + 1 + 2. Let z be ((-7)/2)/(2/(2 - -2)). Calculate the remainder when d(z) is divided by 13.
12
Suppose 3*r = 82 - 13. Calculate the remainder when 65 is divided by r.
19
Let v be 10/3*3/2. Suppose o + 188 = v*o. What is the remainder when o is divided by 24?
23
Let y be (-9)/(-4) + 6/8. Suppose -9 = 2*t - y*q, -5*q + 10 = -3*t - 3. Let j = 10 + t. Calculate the remainder when 7 is divided by j.
3
Suppose 0*d + 2*d - 4*l - 16 = 0, -10 = -2*d + 2*l. Let k = d + 6. Calculate the remainder when 23 is divided by k.
7
Let q = 14 + -8. Let b be (3/9)/((-2)/114). Let x = b + 36. Calculate the remainder when x is divided by q.
5
Suppose -n = 3*s + 7, -2*n = 3*s - 2 + 4. Suppose -107 = -2*b + n*i, 4*i - 16 - 184 = -4*b. Calculate the remainder when b is divided by 18.
15
Suppose p + 6 = -0*p. Suppose 3*x - 4 = x. Calculate the remainder when x is divided by 2/(-4) + p/(-4).
0
Let i(u) = 4*u - 8. Let k(z) = z**3 - z**2 - z + 7. Let h be k(0). Calculate the remainder when i(h) is divided by 11.
9
Let y(d) = 6 - 2*d + d - 2*d - 4*d. Let w be 3*(-1)/(-3)*-8. Calculate the remainder when y(w) is divided by 16.
14
Suppose 138 - 3 = 5*b. Let f = -69 + 83. What is the remainder when b is divided by f?
13
Let f be 8/3*(-3)/(-2). Suppose -159 = -4*h - 3*b, 0 = f*h - 0*b + 2*b - 158. Calculate the remainder when h is divided by 20.
19
Let y(v) = v**2 - 8*v + 3. Let l be y(5). Let o(z) = z**2 + 11*z - 10. Calculate the remainder when 5 is divided by o(l).
1
Suppose 22 = -0*l + l. Let j(o) = 2*o**2 + o + 2. Calculate the remainder when l is divided by j(2).
10
Suppose 0 = -4*o + 29 + 35. Suppose -5*c = -4*b - 1 + 23, 0 = -3*b + 4*c + o. Let r = -52 + 83. What is the remainder when r is divided by b?
7
Let v(f) = -f**3 + 3*f**2 + 5*f - 4. Let a be v(4). Suppose -6*c = -4*c - 12. What is the remainder when -2 + a/(-3) - -18 is divided by c?
4
Let d = 29 - 26. Suppose 9*k - 102 = d*k. What is the remainder when 30 is divided by k?
13
Suppose f = 5*f - 84. Suppose -2*i - i + 186 = 0. What is the remainder when i is divided by f?
20
Suppose -x - 4*l - 10 = -2*x, 25 = 5*x + 5*l. What is the remainder when 34 is divided by x?
4
Let l(k) = -k**3 - 6*k**2 - 1. Let a be l(-6). Let m = a - -26. What is the remainder when (8/(-10))/((-1)/m) is divided by 7?
6
Suppose 2*w = -2*w + 160. Suppose 2*k + 2*k = w. Suppose 4*t - 84 = t. What is the remainder when t is divided by k?
8
Let k(h) = -14 + 13*h + h**2 + 5 - 6*h. Let m(z) = -z**2 - 8*z + 9. Let u(b) = 3*k(b) + 2*m(b). Calculate the remainder when 13 is divided by u(-7).
3
Suppose -2*l + 3*l - 117 = -2*y, -186 = -3*y - 5*l. Calculate the remainder when y is divided by 15.
12
Let z(f) = -8*f - 9. Let b(j) = -9*j - 9. Let n(k) = 3*b(k) - 2*z(k). Calculate the remainder when n(-4) is divided by 19.
16
Calculate the remainder when 119 is divided by 80/(-6)*(0 - 3).
39
Suppose z - 210 = -5*z. What is the remainder when z is divided by 19?
16
Suppose 3*i - x + 60 = 7*i, -20 = -5*x. Let y(p) = p**3 + 3 - p + 6*p**2 - 4 + 0*p**3. What is the remainder when i is divided by y(-6)?
4
Let d be (-1)/(-1) - (-12)/12. Suppose -178 = -4*p + d*t, -3*p - t + 96 + 40 = 0. What is the remainder when p is divided by 16?
13
Let m = 7 + -4. Suppose -5*c = -5*o - 30, -m*c + 4*o = -8*c + 48. Calculate the remainder when 21 is divided by c.
5
Suppose -5*b + 4*b = 19. Let q = b - -37. Suppose p + q = 3*p. Calculate the remainder when 33 is divided by p.
6
Suppose -4*c + 259 = 51. Calculate the remainder when c is divided by 18.
16
Let k(p) = -6*p - 14. Calculate the remainder when 107 is divided by k(-6).
19
Let j(h) = 5*h**2 - 2*h - 3. Let c(y) = 4*y - 36. Calculate the remainder when j(-2) is divided by c(12).
9
Let f(c) = c**2 + c + 57. Calculate the remainder when f(0) is divided by 15.
12
Suppose -163 = -5*k - 18. Let h = 7 - 3. Suppose 4*t - 40 = 4*y, -3*y + 28 = h*t - 12. Calculate the remainder when k is divided by t.
9
Let m = -47 + 116. What is the remainder when m is divided by 14?
13
Let f(i) = 12*i**2 + 2*i - 1. Let u(y) be the second derivative of -y**4/12 + 7*y**3/3 - 8*y**2 + 7*y. What is the remainder when u(10) is divided by f(1)?
11
Suppose -210 = 2*c - 3*y + 75, -2*c + 5*y - 291 = 0. What is the remainder when 67 is divided by c/(-9)*3/2?
21
Let c = -140 - -201. Suppose 4*p - 53 = 11. Calculate the remainder when c is divided by p.
13
Let r = -22 + 37. Suppose 0 = 3*k + 4*x - 0*x - 171, 0 = -k - x + 57. What is the remainder when k is divided by r?
12
Suppose -76 - 71 = -7*m. What is the remainder when 71 is divided by m?
8
Suppose 0 = -2*t - t + 177. What is the remainder when t is divided by 15?
14
Suppose 2*f = -2*i - 3*i + 26, 28 = 4*f + 4*i. What is the remainder when -1*(1 - f - 27) is divided by 8?
5
Let f = 11 - -1. Let t(y) = -y**2 + 2*y + 34. Calculate the remainder when t(0) is divided by f.
10
Let u = 0 + 1. Let v be (-48)/(-9) + (-1)/3. Let y(x) = x**3 - 5*x**2 + 1. Calculate the remainder when y(v) is divided by u.
0
Let c(b) = 2*b**2 + 3*b + 4. Suppose 2 = -v -