 5*n**2 + 8*n - 8. Calculate the remainder when 37 is divided by j(4).
5
Suppose -3*m = -2*m - 37. Let x(n) = n**3 - 2*n**2 + 4*n - 2. Calculate the remainder when m is divided by x(3).
18
Suppose 335 = -5*m - 4*d, 2*m - 4*m - 3*d - 134 = 0. Let k = -42 - m. What is the remainder when k is divided by 14?
11
Calculate the remainder when 93 is divided by 28*(-2 - 60/(-21)).
21
Let q(f) = f**3 + 4*f**2 - 2*f - 6. Let s be q(-4). Suppose -s*p = p - 12. What is the remainder when p is divided by (-7)/(-3) + 1/(-3)?
0
Let t(z) = 2*z**2 + 1. Calculate the remainder when t(-5) is divided by 1/7 + (-900)/(-70).
12
Calculate the remainder when 49 - ((-1)/((-1)/2))/(-2) is divided by 17.
16
Let z be 16/(-1)*1/(-2). Suppose s - 70 = -z. Calculate the remainder when s is divided by 16.
14
Let z(v) = v**2 - 7*v + 6. Let m be z(6). Suppose -3*w = -m*y + 2*y - 25, -37 = -5*w - y. Calculate the remainder when 26 is divided by w.
5
Suppose 14 = 2*d - 4*f, -f + 0 = -2*d + 11. What is the remainder when 28 is divided by d?
3
Calculate the remainder when -1*(1 + -1) - -11 is divided by 7.
4
Let q = 145 + -79. What is the remainder when q is divided by 17?
15
Let r = 6 + 7. Let b be 6/(-24) - 18/(-8). What is the remainder when r is divided by 14/(b + (1 - 1))?
6
Let i = -112 + 127. Calculate the remainder when i is divided by 5.
0
Suppose 4*v - v + 8 = 4*w, 4*w = -5*v + 8. Suppose v = 2*a + z + 5 - 23, 0 = -4*a + z + 30. Calculate the remainder when 2 is divided by ((-6)/4)/((-6)/a).
0
Suppose -2*c + 4*i + 55 + 15 = 0, -5*c + i + 193 = 0. Calculate the remainder when c is divided by 10.
9
Let r = 30 - 58. Let q be 3*(2 - r/6). Suppose 12 = 4*w - q. Calculate the remainder when 29 is divided by w.
5
Calculate the remainder when ((-6)/(-4))/((-12)/(-464)) is divided by 23 + -1 + -2 + 0.
18
What is the remainder when 77 is divided by (-3 + (-50)/(-8))*12?
38
Suppose -4*v + 3*k - 17 = -55, -4*k - 36 = -4*v. Let r be ((-1 + 148)/3)/1. Let m = 80 - r. What is the remainder when m is divided by v?
9
Let c(y) = y**2 + 3*y - 8. What is the remainder when 63 is divided by c(5)?
31
Let z(k) = k + 3. Calculate the remainder when z(0) is divided by 1.
0
Let u(j) = -j**3 + j**2 + 2. Let n be u(2). Calculate the remainder when (-24)/n - 1/1 is divided by 4.
3
Let t = -4 - -9. Suppose -4*a - 5 = -t*a. Calculate the remainder when 17 is divided by a.
2
Let r(p) = 38*p**2 - 2*p - 9. What is the remainder when r(-2) is divided by 50?
47
Suppose -5*r = 8 + 2. Suppose y + 5*d = -2*y - 14, -2*d = 3*y + 11. What is the remainder when 35 is divided by (y/r)/(2/16)?
11
Let t = 36 + 8. What is the remainder when t is divided by 3?
2
Suppose 6*c - 2*c = 2*g - 68, -3*g + 3*c + 99 = 0. What is the remainder when g is divided by 11?
10
Let m be ((-18)/15)/((-1)/5). Let p(w) = w + 7. Let h be p(0). Suppose -2*q + 2 = 4*n, 4*q - m = n + h. What is the remainder when 8 is divided by q?
2
What is the remainder when (-1)/2*(-14 + -118) is divided by 35?
31
Let j(t) = -2*t**2 + 18*t + 3. What is the remainder when 73 is divided by j(8)?
16
Suppose -4*m = t + 97 - 17, 0 = m + t + 23. Let l = m + 80. What is the remainder when l is divided by 16?
13
Let r = -17 + 36. What is the remainder when 72 is divided by r?
15
Let z be (-2)/3 + 122/(-6). Let x be z/((-9)/(-3)) + -1. Let n = -5 - x. Calculate the remainder when 5 is divided by n.
2
Suppose 39 + 115 = 3*i - s, 5*s = 4*i - 198. What is the remainder when i is divided by 28?
24
Calculate the remainder when ((-9)/12)/(-3) - 631/(-4) is divided by 32.
30
Let y(m) = -m**3 - 8*m**2 + m + 10. Let c be y(-8). Suppose 9 = 2*u - j - 9, -c*j + 34 = 3*u. Calculate the remainder when (2/(-6))/((-1)/57) is divided by u.
9
Let a = 26 - 6. Suppose j = -0*u - 2*u + a, -u + 3*j + 24 = 0. What is the remainder when u is divided by 5?
2
Let n(q) be the third derivative of -q**5/60 + q**4/12 + q**3/2 - 2*q**2. Let c be n(-3). Let a = c + 17. Calculate the remainder when 8 is divided by a.
3
Let t be (5 - (0 + 2))*17. Let p be ((-18)/(-15))/(1/(-5)). Calculate the remainder when p/9*t/(-1) is divided by 18.
16
Let p be 2/7 + (-76)/(-28). Calculate the remainder when ((-6)/5)/((-1)/5) is divided by p*(16/(-6))/(-4).
0
Suppose -5*q = -g - 15, 0 = 5*g - 4*q + 25 + 8. Let i = g - -9. Let j(r) = r + 2. What is the remainder when 10 is divided by j(i)?
4
Let l(i) = 3*i**3 + 4*i**2 + 13*i - 7. Let n(p) = -4*p**3 - 3*p**2 - 14*p + 6. Let f(z) = -5*l(z) - 4*n(z). Calculate the remainder when 21 is divided by f(9).
10
Suppose 0*t = 5*t - 125. Calculate the remainder when 148 is divided by t.
23
Let j = -18 - -56. Let z = 22 + -12. What is the remainder when j is divided by z?
8
Let z = -14 + 29. Suppose 4*u + 2*x = 120, -3*x + 0 = -6. Calculate the remainder when u is divided by z.
14
Suppose -3*j + k + 159 = 4*k, 3*k - 259 = -5*j. What is the remainder when j is divided by 13?
11
What is the remainder when 43 + -4 + (0 - -4) is divided by 15?
13
Let g = 27 - 40. Let k = g + 22. What is the remainder when k is divided by 3?
0
Let z = 8 + -4. Suppose 2*p - 5 = -u, z*u = -p - 8 + 21. Suppose -4*b - u*v = 6 + 5, 3*b = -5*v - 22. Calculate the remainder when 2 is divided by b.
0
Let f(i) = 28 + 3*i**2 - 16 + 7*i - 4*i**2 + 7. What is the remainder when 20 is divided by f(8)?
9
Suppose 3*g + q = 5*g - 15, -4*g + 15 = q. Suppose -p + 35 = 5*l, p - 3*p + 5*l = g. What is the remainder when p is divided by 6?
4
Suppose 4*w = -7 + 35. What is the remainder when 15 is divided by w?
1
Let z(n) = n + 22. What is the remainder when 22 is divided by z(-15)?
1
Suppose c + c - 6 = 0. Suppose 0*s + d + 23 = 5*s, 5 = -s + 5*d. Suppose -2*x - c*q = -7, -30 = -0*x - s*x + 5*q. What is the remainder when 12 is divided by x?
2
Suppose -20 = 2*t - 3*g - 98, t - 2*g = 40. Suppose -2*l - l = -f + 7, -4*f + 4*l = -68. Let k = t - f. Calculate the remainder when 41 is divided by k.
13
What is the remainder when 35 is divided by (18/(-6) - -6)*1?
2
Calculate the remainder when 34 is divided by 2/(-3) + 56/3.
16
Let u be ((-28)/(-12) + -2)*9. Suppose 0 = -2*g + u*g - 17. Calculate the remainder when 82 is divided by g.
14
Let i be (3/3)/((-2)/(-24)). Suppose -4*m + 3*m + i = 0. What is the remainder when 46 is divided by m?
10
Let p = -5 + 11. Let h = -8 - -23. What is the remainder when h is divided by p?
3
Let y = 9 - -7. Calculate the remainder when 57 is divided by y.
9
Suppose 0 = -2*d - 2*p + 166, 4*p + 4 = -4. What is the remainder when d is divided by 43?
42
What is the remainder when 58 is divided by (-1)/(-4)*46*(5 - 3)?
12
Let l(d) = -5*d - 6. Suppose -4*b = -0*b - s - 99, 78 = 3*b + 3*s. Calculate the remainder when b is divided by l(-4).
11
Let h = 115 - -1. Calculate the remainder when h is divided by 20.
16
Suppose 13 = -3*q + 43. Suppose 11 = 4*a - t, -2*a - 9 = -4*a - 3*t. What is the remainder when q is divided by a?
1
Let w(b) = -b**3 - 13. Let j be w(0). Let k = 0 - j. Calculate the remainder when 64 is divided by k.
12
Let i be 6/10 - 17/(-5). What is the remainder when (-1615)/(-25) - i/(-10) is divided by 22?
21
Let j be 26/(-8) + (-2)/(-8). Calculate the remainder when 10 is divided by j/9*(0 + -18).
4
Suppose 12 = 4*w - 3*d, -3*d = -3*w - 2*d + 9. Suppose 0 = -w*a + 61 - 13. What is the remainder when 47 is divided by a?
15
Suppose 1 = -3*c + 2*b + 36, -c + 15 = -4*b. What is the remainder when 64 is divided by c?
9
Suppose 4*x - 145 - 155 = -2*c, 3*c = -2*x + 150. What is the remainder when x is divided by 19?
18
Let j(c) = -c**3 + 3*c**2 - 3*c. Let s be j(2). Let t(b) = b**2 + b + 2. Calculate the remainder when 7 is divided by t(s).
3
Let p(j) = 3*j - 1. Calculate the remainder when 16 is divided by p(4).
5
Let r(z) = z**3 - 8*z**2 - 10*z + 12. Let f be r(9). Suppose f*x - d - 132 = -53, -5*d = 5*x - 125. Calculate the remainder when x is divided by 10.
6
Suppose -f + 6 = 2*f. Suppose -f*r + 3*r - j = 9, 13 = 3*r + 4*j. Let q = 31 + -18. What is the remainder when q is divided by r?
6
Let s(y) be the first derivative of y**3/3 - 2*y**2 + 5. Calculate the remainder when 13 is divided by s(5).
3
Let k(n) = n**3 - 5*n**2 - 4*n + 4. Let d be k(6). Let f = 5 + d. What is the remainder when f - (-2 + 1 + 1) is divided by 11?
10
Suppose s + 14 = 61. Suppose 12 = -5*z + s. Calculate