e -4*s + 10 = -2*s - 4*q, -3*s - 2*q = -15. Calculate the remainder when 23 is divided by s.
3
Let o = 7 + 36. What is the remainder when 169 is divided by o?
40
What is the remainder when 71 is divided by (2/(-6))/(4/(-156))?
6
Suppose 2*z - 42 = -r + 5*z, -5*r = -4*z - 199. What is the remainder when r is divided by 6?
3
Let s = 144 - 107. Calculate the remainder when 217 is divided by s.
32
Suppose -5*q = -4*q + 3. Let g = q - -19. Suppose 5*t = 2*t - 4*v + 126, 5*t - 215 = -5*v. What is the remainder when t is divided by g?
14
Let r(j) = -18*j**3 + j**2 - 1. Let z be r(-1). Let c be ((-10)/15)/((-4)/z). Suppose -123 = -c*f + 51. Calculate the remainder when f is divided by 20.
18
Suppose -2*w - 28 = -3*d, 2*d = -2*d - 5*w + 45. Suppose -24 = -13*f + d*f. Calculate the remainder when 29 is divided by f.
5
Suppose 0 = x + x + 8. Let b = x - -14. What is the remainder when 28 is divided by b?
8
Calculate the remainder when ((-6)/9)/(4/(-114)) is divided by 10.
9
Let u(s) = -s**2 + 10*s - 8. Let q(l) = 2*l - 8. Let i be q(8). What is the remainder when 13 is divided by u(i)?
5
Let p(x) = -x**2 + 8*x + 15. Calculate the remainder when p(8) is divided by 4.
3
Let j(n) = 13*n**3 + 2*n**2 + 2*n + 1. Let d be j(-1). Let b = d - -19. Calculate the remainder when 27 is divided by b.
6
What is the remainder when 59 is divided by 1 - 4/(-4)*14?
14
Let g be -1 + (4 + 1)*3. Suppose g + 10 = -3*v. Calculate the remainder when 14 is divided by (-66)/v + 2/(-8).
6
Let w = 10 + -6. Suppose 3*p - 2*t - 139 = 0, -15 - 5 = w*t. Let l(k) = -k + 15. What is the remainder when p is divided by l(0)?
13
Let x(l) = -l**3 - l**2 + 41. What is the remainder when x(0) is divided by (-246)/(-18) + 1/3?
13
Let q = -87 + 122. What is the remainder when q is divided by (-656)/(-36) - 6/27?
17
Let p be -1 - (-2 - 19)/3. Suppose p*d - 63 = 3*d. Let g = -25 - -36. Calculate the remainder when d is divided by g.
10
Let q = 75 - 23. Let u(o) = 6*o - 3 - 2 - 3 + 2. Calculate the remainder when q is divided by u(4).
16
Let n(s) = 1 - 3*s**2 - s**2 + 5*s**2 + 2*s**2. What is the remainder when 49 is divided by n(2)?
10
Suppose -7 = 3*u - 76. Suppose -3*v - 7 = 44. Let w = 29 + v. Calculate the remainder when u is divided by w.
11
Let h = -28 + 78. Suppose 2*d = -3*j + 43, 4*j - 2*d + 3*d - 54 = 0. Calculate the remainder when h is divided by j.
11
Suppose 0 = -2*d - 2*d. Suppose -2*a + 48 = -d*a. Calculate the remainder when a is divided by 13.
11
Suppose b - 7 = 5. Let i(z) be the third derivative of -35*z**4/24 - z**2. Calculate the remainder when i(-1) is divided by b.
11
Let v(m) = m + 14. Calculate the remainder when 25 is divided by v(-7).
4
Suppose 197 = 3*x + 62. Calculate the remainder when x is divided by 16.
13
Let n = 168 + -107. Let v(j) = j**2 - 2*j - 1. Let q be v(3). Suppose -47 = -q*u + l, -4*l = -2*u + l + 67. What is the remainder when n is divided by u?
19
Let c = -1 + 7. Suppose 2*h = -c, g + 3*h - 3 + 6 = 0. What is the remainder when g is divided by 4?
2
Let d = 38 + -4. What is the remainder when d is divided by 13?
8
Calculate the remainder when 3/(-4) + 1572/48 is divided by 12.
8
Let r(s) = -s**3 - 8*s**2 + 3*s + 2. Calculate the remainder when r(-9) is divided by 19.
18
Suppose 0 = 2*k + 3*k + 2*v - 13, 0 = -4*k + 2*v + 14. Suppose b - 2*b + 48 = k*w, b + 57 = 4*w. Calculate the remainder when 28 is divided by w.
13
Let p(t) = -t**3 - 3*t**2 + 6. Suppose 0 = 5*h - 4*g - 5, 0 = 3*h - 2*g - 1. Suppose 0 = -5*a - 0*a + 20. Calculate the remainder when p(h) is divided by a.
2
Let z = 3 - -1. Let p(o) = 2*o**2 - 3*o + 2. Let w(x) = 2*x**2 - 3*x + 3. Let j(i) = 3*p(i) - 2*w(i). Calculate the remainder when j(z) is divided by 11.
9
Suppose -5*w + 34 = -31. Suppose 24*c + 36 - 948 = 0. Calculate the remainder when c is divided by w.
12
Let r(g) = 2*g**3 - 18*g**2 - 17*g + 2. What is the remainder when 127 is divided by r(10)?
31
What is the remainder when 10*1*(-5 - (-148)/8) is divided by 23?
20
What is the remainder when 89 is divided by (-3)/5 - 1224/(-40)?
29
Let h be -2 + (0 - 2) + 0. Let q(x) = -x - 1. Suppose -2*t = -3*t, 2*t - 24 = -3*v. Calculate the remainder when v is divided by q(h).
2
Let s be -1 + (-3 - (-6 - 1)). Calculate the remainder when 25 is divided by -2 + (36/s - 1).
7
Let t(p) = p**3 + p**2 + 16. Calculate the remainder when 77 is divided by t(0).
13
Suppose -16 - 23 = -3*p. Calculate the remainder when 64 is divided by p.
12
Suppose 2*f = 4*y - 28, 3*y = -5*f + 2 - 7. Suppose y*i - 52 = 8. Calculate the remainder when 58 is divided by i.
10
Let g(l) = -l**3 - 7*l**2 - 6*l - 4. Let f be g(-6). What is the remainder when 34 - (f/2 + 1) is divided by 4/10*(47 + -2)?
17
Suppose -30 = j + 4*j. Let p = 20 + j. Calculate the remainder when p is divided by 4.
2
Suppose 19 = -q - 3*r + 72, -53 = -q - 2*r. What is the remainder when q is divided by (2/(-3))/((-1)/27)?
17
Let g = 336 + -191. Suppose -5*f = -10*f + g. What is the remainder when f is divided by 8?
5
Suppose -5*q = -5*h + 65, 0 = 5*h + 5*q - q - 47. What is the remainder when 32 is divided by h?
10
Let m = -5 - -4. Let y = -1 - m. Suppose w - 21 = -x, 0*x + 4*x - 4 = y. Calculate the remainder when w is divided by 11.
9
Let d(c) = -c**3 + 2*c**2 + c - 2. Let j be d(2). Suppose 2*o - 2 + 0 = j. Let x = 17 - o. What is the remainder when 30 is divided by x?
14
Let l = 18 + -1. Calculate the remainder when 47 is divided by l.
13
Suppose -2*g - 52 = -4*u, -3*u = 3*g - 11 - 28. What is the remainder when 35 is divided by u?
9
Suppose 4*d - 20 = -0*d. Suppose -4*q + 3*v = -10, -5*q + 15 + 15 = d*v. What is the remainder when 9 is divided by q?
1
Let m(f) = 5*f - 5. Let n be m(2). Suppose n*b - 17 = 78. What is the remainder when 54 is divided by b?
16
Calculate the remainder when 47 is divided by (104/(-10))/((-4)/10).
21
Let n(h) be the third derivative of -h**6/120 - 2*h**5/15 - 3*h**4/8 + h**3/2 + 2*h**2. What is the remainder when n(-7) is divided by 5?
2
Suppose 2*n = g + 7, -5*g - 4*n + 3*n = -20. What is the remainder when (g - (-34)/(-10))*-35 is divided by 5?
4
Let c(o) = o**3 + 7*o**2 - 9*o + 4. Suppose -4 + 2 = -h + w, -8 = 3*h + 4*w. Suppose -5*m - 17 - 23 = h. Calculate the remainder when 22 is divided by c(m).
10
What is the remainder when (-1)/(-4) + 3954/24 is divided by 42?
39
Let w(u) = -u**3 - u**2 - u + 25. Calculate the remainder when 97 is divided by w(0).
22
Let p = -34 + 54. What is the remainder when 57 is divided by p?
17
Let y(l) = l**3 - 5*l**2 + 4*l - 4. What is the remainder when y(6) is divided by 24?
8
Let k(v) = -2*v - 1. Let p be k(-3). Suppose p*d + 4 = 49. What is the remainder when 16 is divided by d?
7
Suppose 5*t = -t + 750. Calculate the remainder when t is divided by 16.
13
Suppose 0 = r - 4 - 16. Suppose -4 = b - 3*b. Suppose -b*g + 2 + 20 = 0. What is the remainder when r is divided by g?
9
Let j = 7 - -13. Suppose 0 = 2*x - 2 - 2. Suppose -n - x*n + 21 = 0. Calculate the remainder when j is divided by n.
6
Suppose -9*x + 19 = -17. Let k = 26 + -7. What is the remainder when k is divided by x?
3
Let k = 7 + -11. Suppose -2*r + 49 = -5*q + 2*q, 0 = -5*r - 2*q + 113. Calculate the remainder when r is divided by (-1 - k) + 8 - -1.
11
Suppose 0 = 6*o - 2*o - 5*i - 48, -5*i = -5*o + 60. What is the remainder when 58 is divided by o?
10
Let w = 6 + 11. Suppose -5*g + 3*g = 3*a + 39, 4*g + a = -53. Let n = g + w. Calculate the remainder when 14 is divided by n.
4
Let d = 15 - 13. Suppose 2*x + 5*z = 5*x + 5, -3*x + 23 = 2*z. Suppose x*g - 16 = g, 2*l + 3*g = 18. Calculate the remainder when l is divided by d.
1
Let m(w) = -3*w**2 - 4. Let v be m(-4). Let a = 81 + v. Calculate the remainder when a is divided by ((-1)/2)/((-2)/40).
9
Let h be (-22)/(-6) - (-2)/(-3). Suppose -b = 3*m - 3, 15 + 18 = 3*b + 3*m. Suppose n = -3*j + h + 14, -5*j = -b. What is the remainder when 14 is divided by n?
6
Let b(k) be the first derivative of k**2/2 - k - 2. Calculate the remainder when 10 is divided by b(5).
2
Let u(j) = 118*j + 6. Calculate the remainder when u(2) is divided by 49.
46
Let i(d) = -5*d + 5. What is the remainder when i(-3) is divided by 7?
6
Suppose 4*m = -d - 15, 3 = -3*d - 2*m - 2. What is the remainder when (-10)/((-5 - -3)*d) is divided by 0 - 1