 -i - 18. Calculate the remainder when 10 is divided by b.
2
Let s(i) = 3*i - 1. Let o be s(1). Suppose o*n + 2*d - 8 - 18 = 0, -4*n = -2*d - 22. What is the remainder when 14 is divided by n?
6
Let v = -7 + 21. Calculate the remainder when 53 is divided by v.
11
Suppose -q = -5*q + 96. Suppose -3*l = 2*r, q - 5 = -3*r + 5*l. Calculate the remainder when 12 + (2 + r - -2) is divided by 5.
3
Suppose 7*n + 52 = 5*n. Let y = 25 - n. Calculate the remainder when y is divided by 13.
12
Let q = -3 - -5. Suppose -2*z + 80 = 5*u - 0*z, 32 = q*u + 3*z. What is the remainder when 31 is divided by u?
15
Suppose 76 - 301 = -5*x. Suppose -60 + 12 = -3*d. Calculate the remainder when x is divided by d.
13
Let z = -7 + 51. Suppose -z = -3*c - 8. Let w = c + -4. What is the remainder when 15 is divided by w?
7
Suppose 23 = 4*y + 7. Suppose -3*v - 27 = -y*x + 2*x, -3*x + 5*v + 42 = 0. Calculate the remainder when 15 is divided by x.
6
Let g = -14 + 27. What is the remainder when g is divided by 8?
5
Let t = -9 + 14. Suppose 4*h + 65 = 4*s - h, t*s - 103 = -h. What is the remainder when s is divided by 12 - ((-3)/6 + (-3)/(-2))?
9
Suppose j - 15 = -1. What is the remainder when 40 is divided by j?
12
Let q = -14 - -10. Let g(z) = 2*z**2 + 6*z. What is the remainder when -4 + -2 + 4 - -16 is divided by g(q)?
6
Let b(x) = -3*x - 2. Let h be b(-8). Let m = 38 - h. What is the remainder when m is divided by 6?
4
Let k(h) = h**3 - 3*h**2 - 2. Calculate the remainder when 21 is divided by k(4).
7
Let v = 19 + -15. Suppose 5*p - 5*c - 70 = 0, -c - 72 = -3*p - v*c. What is the remainder when 73 is divided by p?
16
Suppose -p - 4*c = -c - 16, -20 = -5*c. Let w = 9 - p. Calculate the remainder when 51 is divided by (-448)/(-35) + 1/w.
12
Suppose -831 = 3*g - 6*g. What is the remainder when g is divided by 56?
53
Suppose 3*r - 1 = 62. What is the remainder when 83 is divided by r?
20
Suppose -3*b - 63 = -3*p, 46 = -0*p + 2*p - 3*b. Let c be 55/3 - (-2)/(-6). Suppose 0 = s + 2*s - c. Calculate the remainder when p is divided by s.
5
Let w(z) = 1 - 2 + 0 + z. Let x be w(3). Suppose -x*f - 4*g + 11 = -f, -5*f - 4*g + 135 = 0. Calculate the remainder when f is divided by 11.
9
Suppose 3*d - 122 - 106 = 0. What is the remainder when d is divided by 13?
11
Let v = -80 - -145. Suppose 5*r - 2*a - 25 = v, -2*r + 3*a = -36. Calculate the remainder when r is divided by 5.
3
Let u(x) = -5*x + 4*x + 0*x - 8 + 4*x. Calculate the remainder when 38 is divided by u(7).
12
Suppose -z - 96 = -5*p, -6*z = -3*z - 12. What is the remainder when p is divided by 6?
2
Let h = 16 - 10. Let c(m) = -m**2 + 8*m + 5. Suppose 4*o = o + 18. Calculate the remainder when c(h) is divided by o.
5
Suppose 0 = 3*j + 4*b - 3*b - 1, 5*j + 5*b = 5. Suppose j = 2*i + 3*i - 5, 4*i + 22 = 2*o. What is the remainder when o is divided by 5?
3
Let p(j) = j**2 + j - 2. Let g be p(-2). Suppose -3*f + 24 + 42 = g. Let v = 78 + -14. What is the remainder when v is divided by f?
20
Let q = 27 + -39. Calculate the remainder when (5/(-2) + 2)*q is divided by 2.
0
Let i = -14 + 28. Calculate the remainder when 0 + -2 - 55*-1 is divided by i.
11
Let u = 27 - 0. What is the remainder when 71 is divided by u?
17
Let m(c) = 2*c**2 + c - 2. Let a be m(2). Suppose -g + a = -1. What is the remainder when 16 is divided by g?
7
Let z(g) = -5*g - 4. What is the remainder when 15 is divided by z(-2)?
3
Let x = -27 + 18. Let y = -4 - x. Calculate the remainder when 19 is divided by y.
4
Let v = -8 - -9. Suppose -2 = -4*t + 6. Let c(w) = w**3 - w**2 - w. What is the remainder when c(t) is divided by v?
0
What is the remainder when 23 is divided by (-30 - 0)*20/(-50)?
11
Suppose 2 - 1 = d. Let y = 5 - d. What is the remainder when 13 is divided by y?
1
Let o(m) = m**2 - 17*m - 37. What is the remainder when o(-5) is divided by 25?
23
Let q be (16/(-4))/((-3)/150). Suppose 0 = -5*v + q + 5. What is the remainder when v is divided by 11?
8
Let k = 3 + 37. Calculate the remainder when 158 is divided by k.
38
Let r(p) = p**3 + 4*p**2 - p - 2. Let l be r(-4). Suppose -3 = -s + 3*q, 1 = l*q - 3. What is the remainder when 15 is divided by s?
6
Let m(n) = -n**2 - n. Let v be m(-2). Let x be (0 - 3) + 2 + v. What is the remainder when (-9)/x*14/3 is divided by 5?
4
Let q = -11 - -16. Suppose -q*s + 41 = -64. Let b(l) = l**2 + 2*l - 4. What is the remainder when s is divided by b(-5)?
10
Suppose -42*n - 3 = -45*n. Calculate the remainder when 3 is divided by n.
0
Let s be (-2)/7 - (-172)/14. Let z be -6*(-1 - (-12)/9). What is the remainder when (s/(-10))/(z/20) is divided by 7?
5
Let v = -5 + 17. Calculate the remainder when 33 is divided by v.
9
Let r = -112 - -129. What is the remainder when r is divided by 14?
3
Let v = -81 - -138. Calculate the remainder when v is divided by 9.
3
Suppose 37*g - 335 = 32*g. Let o(d) = 2*d**3 - 4*d**2 - d + 2. Calculate the remainder when g is divided by o(3).
16
Suppose v = -3*v + 148. What is the remainder when v is divided by 19?
18
Suppose 4*w = -b + 14, b + 20 = 4*w + 5*b. Suppose -3 - 10 = -5*k + 3*n, 0 = w*k - n - 7. Calculate the remainder when 6 is divided by k.
0
Suppose s = -0*s + 4. Suppose p = 0, s*m - 3 = 2*p + 41. What is the remainder when 41 is divided by m?
8
Let a(d) be the first derivative of 47*d**4/4 - d**3/3 + d**2/2 + 3. What is the remainder when a(1) is divided by 16?
15
Let i = -7 - -4. Let g be (-20)/i - 4/6. Suppose -3*a + p = -33, a - 2*p = g*a - 55. What is the remainder when 32 is divided by a?
10
Suppose -3*m = -0*n - n, -m - 21 = 2*n. Let h = 20 + n. What is the remainder when 30 is divided by h?
8
Suppose 0 = -4*l + 8, 3 = -u + 4*l + 1. Let n(i) = i**2 - 7*i. Let z be n(u). What is the remainder when 43 is divided by ((-5)/2)/(1/z)?
13
Let l(m) = m**3 + 6*m**2 - m + 8. Let d(c) = -c**3 - 5*c**2 - 5*c - 3. Let v be d(-3). Calculate the remainder when 27 is divided by l(v).
13
Let p = 6 - -2. Let n = -31 + 17. Calculate the remainder when n/(-8)*(p - 0) is divided by 5.
4
Let i(v) = v**2 - 4*v + 4. Suppose 2 = -2*r + 10. Let f be i(r). Suppose -x - f = -3*x. What is the remainder when 5 is divided by x?
1
Suppose -4*o = 2*y - 16, -o + 4*y - 22 = -4*o. Suppose 28 = o*h + h - 2*g, h - 13 = -3*g. Calculate the remainder when -1 + 26 + 4/2 is divided by h.
7
Calculate the remainder when 4/(-10) + (-1235)/(-25) is divided by 13.
10
Suppose 80 = 5*b - 50. Let t = -12 + b. What is the remainder when 27 is divided by t?
13
Suppose 0*b + 42 = 3*b. What is the remainder when 40 is divided by b?
12
Suppose 3*m - d + 3*d = 91, -4*m = -4*d - 88. Calculate the remainder when m is divided by 15.
12
Suppose 55 = 4*n + n + 4*d, -5*n = -3*d - 55. What is the remainder when n is divided by 0 + -2 + (6 - -2)?
5
Suppose -20 = -4*x - 2*g, 0 = 2*x - 6*g + g - 22. Let y(a) = 3*a + 4. What is the remainder when y(x) is divided by 6?
4
Suppose 4 = 2*x - 12. Suppose -4*i + x = -4*v, -i = v + 2*v - 14. Calculate the remainder when 8 is divided by i.
3
Suppose 50 - 190 = -5*t. What is the remainder when t is divided by 10?
8
Let t(p) = -4*p - 4. Let f be t(-3). Suppose 3*b - m - 18 = 0, 4*m + f - 20 = -2*b. What is the remainder when 23 is divided by b?
5
Let x(i) = 2*i**2 - 2*i + 1. Calculate the remainder when 51 is divided by x(-2).
12
Suppose u + 14 - 41 = -4*a, u + 1 = 0. Suppose -10 - 41 = 3*r. Let w = 29 + r. Calculate the remainder when w is divided by a.
5
Suppose 0 = g - 37 - 4. Suppose -2*w + m - 35 = -3*w, w = 2*m + g. Calculate the remainder when w is divided by 13.
11
Let g(r) = -r**2 - 6*r + 3. Let z be g(-6). Suppose -z*q - 2*m + 16 = -14, -18 = -3*q + 2*m. Calculate the remainder when 22 is divided by q.
6
Let y = -39 + 43. Calculate the remainder when y is divided by 4.
0
Calculate the remainder when (18/4)/((-1)/(-18)) is divided by (-7)/(-28) + (-83)/(-4).
18
Let j(f) = -5*f - 7. Let z be 0 - (10/2 - 1). Calculate the remainder when j(-5) is divided by z/(-6) + 56/6.
8
Let l(d) = -d**3 + 11*d**2 + d - 6. Calculate the remainder when 27 is divided by l(11).
2
Let v = 46 + -9. Calculate the remainder when v is divided by 20.
17
Suppose -5*n + 90 = -3*j, -5*n + j + 48 = -32. Let d(o) = 7*o**2 - 1. What is the remainder when d(2) is divided by n?
12
Let o = -32 + 54. Calculate the remai