/108 + (-4)/18 is divided by b.
9
Let a(r) = r**3 - 8*r**2 + 6*r + 2. Let w be a(7). Let z(c) = -c**3 - 5*c**2 - 4*c + 6. Calculate the remainder when 103 is divided by z(w).
25
Suppose -125 = -3*m - b, -2*m + 3*b = -47 - 51. Let k = -47 - -75. Let y = k + -13. What is the remainder when m is divided by y?
13
Suppose 49 + 26 = 5*f. Calculate the remainder when 4 is divided by 18/f*(-25)/(-10).
1
Suppose -1152 = -4*k - 5*i, 5*k - 3*i - 1485 = 2*i. What is the remainder when k is divided by 49?
48
Let d(s) = 4*s**3 - s**2 + 2*s - 1. Calculate the remainder when d(3) is divided by 36.
32
Calculate the remainder when 58/(-4)*(1 - 9/3) is divided by 11.
7
Let a = -25 + 27. Suppose a*f = -4*r + 94, -4*f - 60 = -3*r - 2*f. Calculate the remainder when r is divided by 6.
4
Let b(o) = 14*o + 1. Calculate the remainder when b(1) is divided by 6.
3
Let z(s) = s**3 + 3*s**2 - 1. Suppose -15 = 3*i + 2*i. Let o be z(i). Let f(n) = 40*n**2 - n. Calculate the remainder when f(o) is divided by 14.
13
Let w(r) = r**2 + 12*r + 7. Let i be w(-11). Let a = 31 + i. What is the remainder when 51 is divided by a?
24
Let r = -326 + 626. Suppose -i = -2*i - 5*k + 87, 4*i - r = 4*k. What is the remainder when i is divided by 20?
17
Let u(t) = -t. Let v(w) = 3*w + 6. Let g(a) = 4*u(a) + v(a). Let b = 23 + -18. What is the remainder when 1 is divided by g(b)?
0
Suppose 5*k - 6 = -2*x - x, -2*x - 6 = 0. Suppose 5*s - k*s - 44 = 0. What is the remainder when s is divided by 4/(-10) + (-42)/(-5)?
6
Suppose 4*c - 345 = c. Suppose -2*v + 57 = -5*a, 5*v - c = -5*a - 25. Calculate the remainder when 40 is divided by v.
19
Calculate the remainder when 21 is divided by 0 + 1*(14 + -3).
10
Let d(s) = 0 + 3*s - 2*s - 9. Let q be d(6). Calculate the remainder when ((-282)/4)/q*2 is divided by 16.
15
Suppose -9 = -2*h + 5. Suppose 0 = -2*f + h + 21. What is the remainder when f is divided by 5?
4
Suppose 2*b + 5*i + 13 = b, 2*b = 3*i. Let o = 13 - b. What is the remainder when o is divided by 6?
4
Let m(j) = j**2 - j - 4. Let w be m(3). Let d(c) = -15*c + 1 - c**2 - w*c + 10*c. Calculate the remainder when 20 is divided by d(-6).
6
Let x(g) = 6*g - 2. Let w(v) = 1. Let m(o) = -w(o) - x(o). Suppose 80 = 4*q - 3*k, -2*q + 32 = -3*k - 8. Calculate the remainder when q is divided by m(-1).
6
Suppose 0 = s - 5*h - 93, -s = s + 5*h - 231. What is the remainder when s is divided by 22?
20
Let a(g) = -g**3 + 6*g**2 + 3*g - 7. Calculate the remainder when 17 is divided by a(6).
6
What is the remainder when 26 is divided by (-12)/18 + 69/9?
5
Suppose -28 - 4 = -5*l - 4*w, 3*l - 2*w = 28. What is the remainder when 38 is divided by l?
6
Suppose -4*q - 82 = -5*s, 0 = 2*s - 0*q - 3*q - 37. Suppose 66 = 6*x - 90. What is the remainder when x is divided by s?
12
Let h = -39 - -54. What is the remainder when 44 is divided by h?
14
Let t(l) = 2*l**3 - l**2 - 2*l - 1. Let m be t(2). Suppose -5*v - m + 82 = 0. Calculate the remainder when 28 is divided by v.
13
Suppose 0 = -3*z - 0*z + 30. Calculate the remainder when 19 is divided by z.
9
Let q(o) = 1 - 3 + o**3 - 3*o**2 + 2*o + 5. Calculate the remainder when q(3) is divided by -145*9/(-225) - 4/5.
4
Let v(g) = -4 + 4 - 1 + g + 7*g. Let d be v(1). Suppose x + d*p = 3*p + 24, -4*x = 4*p - 36. Calculate the remainder when x is divided by 3.
1
Calculate the remainder when 1230/25 + (-2)/10 is divided by ((-4)/6)/((-4)/78).
10
Suppose 11*a + 2*a - 3549 = 0. Calculate the remainder when a is divided by 23.
20
Suppose -2*w + 8 = -6*w. Let l be 5/(5/w) - 2. Calculate the remainder when 34 is divided by 2/l - 74/(-4).
16
Let j(t) = -11*t - 1 + 2 - 10*t. What is the remainder when j(-2) is divided by 15?
13
Suppose -i + 2*i - 3*b - 48 = 0, 0 = 5*i + b - 176. Suppose -h - 2*h = -i. What is the remainder when 6/(((-2)/(-11))/1) is divided by h?
9
What is the remainder when 27 is divided by (-6)/9 + (-105)/(-9)?
5
Suppose 0 = 4*v - 2*v - 28. Suppose p - 20 = -4*p, r + 5*p = 76. Suppose -3*n + r + 22 = 0. What is the remainder when n is divided by v?
12
Suppose 0 = -z + 43 - 5. Suppose 4*u = 2*u + 10, 2*k - 3*u = 1. Suppose -z + k = -2*a. What is the remainder when 28 is divided by a?
13
Let y(l) = l**2 - 6*l - 11. Let o be y(8). Suppose 3*m - o*m + 28 = 0. Let a(n) = -5*n**3 + n**2 + 2*n + 1. What is the remainder when m is divided by a(-1)?
4
Let g be -3*5*(-24)/(-20). Let k = 33 + g. Calculate the remainder when 28 is divided by k.
13
Suppose -4*m + 9*m - 15 = 0. Suppose 6 = -0*u + m*u. Suppose 2*g - 23 = -n - g, -u*n + 18 = -g. What is the remainder when n is divided by 6?
5
Suppose -p + 11 - 3 = 0. Calculate the remainder when p is divided by 4.
0
Suppose 2*x + 2*x = 172. What is the remainder when x is divided by 1/(1/(-60)*-4)?
13
Suppose 3*s + 427 = 5*r, -2*r + 3*s + 255 = r. Calculate the remainder when r is divided by (-11 - -10)*-22*1.
20
Let u(s) = -s**2 - 10*s + 14. Suppose -4*p = -22 - 6. What is the remainder when p is divided by u(-11)?
1
Let t(d) = d**3 + 3*d**2 - 5*d - 2. Let v be t(-4). Suppose -2 = v*f + 2. What is the remainder when 1 is divided by f*((-2)/(-4) + -1)?
0
Suppose -5*n + 255 = -4*f, -60 - 93 = -3*n - 2*f. What is the remainder when n is divided by 13?
12
Let w(a) = -1. Let o(u) = -4*u - 1. Let k(b) = -o(b) + 2*w(b). Let x be (-1)/((27/6)/(-9)). What is the remainder when 12 is divided by k(x)?
5
Let k = 2 + 9. Suppose v + 69 = 5*b, b - 3*v = -0*b + k. What is the remainder when b is divided by 3?
2
Suppose 0 = 2*t + 3*t. Let h = 4 - t. Calculate the remainder when h is divided by 3.
1
Suppose 2*l + 3*a + 24 = 61, -2*a = 2. What is the remainder when 34 is divided by l?
14
Let v(p) = p**3 - 11*p**2 + 6*p - 11. Let f be v(12). Suppose -5*k + f + 140 = 0. Suppose 5*g - 56 = k. What is the remainder when g is divided by 9?
7
Suppose -d + 6 = d. Suppose -36 = -d*a - 0. What is the remainder when 23 is divided by a?
11
Let a = -4 - -6. Let f(t) = 19*t + 4. What is the remainder when f(0) is divided by a?
0
Suppose -5*z + 2*u - 6 = -36, 0 = -z - 2*u + 6. Suppose z*v - v = 470. Suppose -4*q = -3*q + 5, -v = -3*o + 5*q. What is the remainder when o is divided by 12?
11
Let c(n) = -n**2 + 7*n + 1. What is the remainder when 43 is divided by c(5)?
10
Suppose 2*n - n - 41 = 0. Let z = n - 28. Calculate the remainder when 22 is divided by z.
9
Let m(g) = -2*g**2 + 2*g + 7. Let a be m(3). Let h(u) = u**2 + 2*u. Calculate the remainder when 27 is divided by h(a).
12
Let w(g) = -6*g - 2. Let s be w(-5). What is the remainder when ((-266)/s)/(2/(-12)) is divided by 20?
17
Let b(v) = -16*v**3 - v - 1. Let w be b(-1). Let y = w + -10. Let q = y - -14. What is the remainder when 38 is divided by q?
18
Let q = 11 + 35. Calculate the remainder when q is divided by 16.
14
Suppose 0*y - 4 = -2*y. Let r = 19 - 9. Calculate the remainder when r is divided by y - (-2 + 3 + -3).
2
Suppose -5*q + 4*q + 7 = 0. Calculate the remainder when q is divided by (-133)/(-42) + 2/(-12) + 2.
2
Let u(z) = 3*z**2 + z. Calculate the remainder when 7 is divided by u(1).
3
Suppose -4*d + 7*m = 2*m - 52, 4*d - 4*m = 52. Suppose -j + 246 = 2*j. Let f = j + -44. What is the remainder when f is divided by d?
12
Let z(b) = 17*b**2 - 1. What is the remainder when z(2) is divided by 34?
33
Let t = 8 - 4. Suppose 1 = -w - 4*g, 0 = -2*g - 2*g - t. Suppose 28 = w*p - 2*u, 0 = 2*p - 3*u - 11 - 6. What is the remainder when 29 is divided by p?
9
Let j = 119 - 96. Calculate the remainder when 64 is divided by j.
18
Suppose 30 = 4*m - m. Calculate the remainder when 17 is divided by m.
7
Let n = 20 + -11. Calculate the remainder when 25 is divided by n.
7
Let q = 2 - 5. Let h = 0 - q. Suppose -x = -5 + h. Calculate the remainder when 4 is divided by x.
0
Suppose -m = -5*m + 28. Suppose 5*v - v - 12 = 0. Let q(u) = 7*u - 2. What is the remainder when q(v) is divided by m?
5
Let l(y) be the third derivative of y**5/60 + 5*y**3/6 - 5*y**2. What is the remainder when l(6) is divided by 11?
8
What is the remainder when 118 is divided by 6/2*(-8 + 13)?
13
Let x = 12 + 18. Let v = -18 + x. What is the remainder when 2 - (4 + 92)/(-3) is divided by v?
10
Let y = 5 + -1. Let v be 6/(-1)*(-26)/y. Suppose -3*n - 4 = -4*n + 3*x, 0 = 5*n + 4*x - v. What is the remainder when 19 is divided by n?
