Calculate the remainder when w is divided by m(-5).
8
Suppose -4*c + 0*c + 8 = 0. Calculate the remainder when 6 is divided by c.
0
Let p(x) = x**3 - 2*x**2 - 9. Calculate the remainder when p(4) is divided by 13.
10
Let k(m) = -m**2 - 7*m. Let z be k(-6). Suppose 2*l - z*l = -40. Suppose 2*o - b = 63, -165 = -5*o - 0*b + 4*b. Calculate the remainder when o is divided by l.
9
Suppose 6*x = 3*b + 3*x - 183, -2*b = -4*x - 122. Calculate the remainder when b is divided by 4 - 2 - (-15 + 1).
13
Let m(b) = -b**3 - 5*b**2 + 8*b + 9. Let v be m(-6). Let y be ((-32)/6)/(2/v). Let w = 36 + y. Calculate the remainder when w is divided by 15.
14
Let q(f) = -13*f + 7. What is the remainder when q(-7) is divided by 33?
32
Let z(r) = 10*r**2 + 2 + 0*r + r - 5*r**2. Calculate the remainder when z(3) is divided by 13.
11
Calculate the remainder when 32 is divided by (2/6)/((-11)/(-363)).
10
Suppose -4*o = -112 - 4. Let u = o + -14. What is the remainder when 29 is divided by u?
14
Let g(j) be the third derivative of 2*j**4/3 - 3*j**2. Let u be g(-4). Let a = -42 - u. Calculate the remainder when a is divided by 12.
10
Suppose 0 = -4*u + 3*j + 179, -3*j = 2*u - 5*j - 92. Calculate the remainder when u is divided by 14.
13
Let v(p) be the first derivative of -p**4/4 + 5*p**3/3 + 7*p**2/2 - 7*p - 3. What is the remainder when v(5) is divided by 135/18*8/6?
8
Let r(s) = s**3 + 12*s**2 + 10*s - 6. Let f be r(-11). Suppose 4*n = -4*k - 6 + 38, -f*n + 5*k = 10. What is the remainder when n is divided by 2?
1
Suppose -2*m = -0*m - 16. What is the remainder when m is divided by 30/9*((-135)/10)/(-9)?
3
Suppose -4*b + 2*b = -50. Calculate the remainder when 47 is divided by b.
22
Calculate the remainder when -1 + 4 - (-4 - 32) is divided by 10.
9
Let s(f) = -2*f + 6. What is the remainder when s(-6) is divided by 10?
8
Calculate the remainder when 185 is divided by 377/8 + (-7)/56.
44
Let q = 3 + 5. Calculate the remainder when 18 is divided by 10/(-8)*q/(-1).
8
Let j = 6 - 5. Suppose j + 4 = i. Suppose g + 3 = 10. Calculate the remainder when g is divided by i.
2
What is the remainder when 33 is divided by (-1)/((-156)/51 - -3)?
16
Suppose -r + 0 = -4. Calculate the remainder when 27 is divided by 10 + 12/(r*-1).
6
Let h = 7 - 5. Suppose 136 = h*o + 2*o. Calculate the remainder when o is divided by 12.
10
Let h(p) = 5*p - 4. Let u be h(6). Suppose -2 = 3*n - u. What is the remainder when 35 is divided by (0 + n)/(10/15)?
11
Let r be 1 - (-1 + 1 + 1). Suppose -5*b - 3*d = -211, 5*d + 113 = 3*b - r*d. What is the remainder when b is divided by 14?
13
Suppose 4*f - 3*l = 41, 5*l + 3 = 2*f - 0*l. Let u(p) = 4*p**2 - 2*p - 3. What is the remainder when u(3) is divided by f?
13
Let d be (7 - -1)/(1 - -1). Suppose 0 = 3*m - u + 2*u - 123, -5*u + 175 = d*m. Calculate the remainder when m is divided by 21.
19
Let h = -45 + 75. What is the remainder when h is divided by 11?
8
Suppose 4*d - 2*f = 2*d - 52, 130 = -5*d - 2*f. Calculate the remainder when -1*(3 + -1)*d is divided by 19.
14
Let v(i) = 2*i**2 + 5*i - 5. Let q = -5 - -5. Suppose 4*d + o - 54 = q, -2*d = -d + 2*o - 17. What is the remainder when v(-6) is divided by d?
11
Let d(l) = -81*l + 2. What is the remainder when d(-1) is divided by 21?
20
Let a(h) = h - 12. Let v be a(3). Let u(s) = -s**3 - 10*s**2 - 11*s + 22. Let t = 27 - 13. What is the remainder when u(v) is divided by t?
12
Let y be 2 - 3 - (-2 - -6). Let z(f) = 10*f**2 + 5*f - 5. Let d be z(y). Suppose -d = -5*x - 65. Calculate the remainder when x is divided by 16.
15
Suppose 2*p + 2*n + 2 = 0, -2*n + 8 = -3*p + 30. Calculate the remainder when 15 is divided by p.
3
Let t(b) = -b**2 + 8*b - 8. Calculate the remainder when 38 is divided by t(4).
6
Let l = 33 + -23. Calculate the remainder when 136/5 + 7/(-35) is divided by l.
7
Let n = 26 + -23. Suppose s + 15 = 3*m, 3*s - 11 = -2*m + 4*s. What is the remainder when m is divided by n?
1
Suppose 3*r - 3 = -0*r. Let i = r - -1. Suppose 0*u = q + 2*u - i, 0 = 2*q - u - 14. What is the remainder when 9 is divided by q?
3
Let s be (-3)/(-2)*(8 + -6). Suppose -4*d = -s*n + 2, -5 = 3*n - 7*n + 3*d. What is the remainder when n is divided by 1?
0
Suppose 0 = c - 0*c - 4. Suppose 4*r = c*g, -5*r + 1 = -3*g - 3. Suppose -j = -4*o + g*j + 99, j = -o + 23. What is the remainder when o is divided by 13?
11
Let m be 6/27 + (-34)/(-9). Suppose 0 = -y + m*f + 10, -2*y - 2*f - 4 = 2*f. Suppose d + y*d = 51. Calculate the remainder when d is divided by 9.
8
Let v = 37 - 24. Let u = v - 2. Calculate the remainder when u is divided by 3.
2
Let n(x) = x**3 + 7*x**2 - 4*x + 1. Suppose 0 = 5*c - 15, -2*c + 24 = -5*a - 4*c. Calculate the remainder when n(a) is divided by 16.
13
Suppose -6*p + 4*p = -48. Calculate the remainder when 46 is divided by p.
22
Let f be (-3)/(3 + (-27)/12). Suppose -2*x = -4*l - 7*x + 65, 0 = 2*x - 10. Let m = f + l. Calculate the remainder when 17 is divided by m.
5
Suppose 2*k + 119 = 5*p - k, -5*k = -5*p + 125. What is the remainder when 85 is divided by p?
19
Suppose 28 = 4*d + 2*o, 4*o + 47 = 5*d - 1. What is the remainder when 15 is divided by d?
7
Suppose -3*q + 9 = -0*q. Let b(k) = 6 + 0*k**3 + 2*k**3 - k**2 - k**q. What is the remainder when 17 is divided by b(0)?
5
Suppose -5*n - 2*m = -22, -5*n - 3*m + 23 = -0*m. Suppose 55 = n*d - 3*q, 4 + 1 = -q. Calculate the remainder when 19 is divided by d.
9
Let c = -14 - -30. Let i = -108 - -152. Calculate the remainder when i is divided by c.
12
Let i = -1 + 3. Suppose 10 = 4*u + i. What is the remainder when 17 is divided by u/4 + 66/12?
5
Let i(y) = -y**3 - 7*y**2 + 2*y - 7. Calculate the remainder when 162 is divided by i(-8).
39
Suppose -7*f + 4*f + 81 = 0. Suppose -t = u + 3*t - 26, -u = 5*t - f. Let o = -9 + 17. Calculate the remainder when u is divided by o.
6
Let u(w) = -w**2 - 10*w - 7. Let j be u(-9). Suppose -2 = -n, -j*b + 4*n + 23 = -1. Calculate the remainder when b is divided by 6.
4
Let m(y) = 166*y - 2. Let r be m(1). Calculate the remainder when (-1)/3 + r/6 is divided by 10.
7
Let m be 4/(-3)*9/(-6). Suppose 4*f = 0, -2*f = -6*p + m*p + 88. Calculate the remainder when 64 is divided by p.
20
Let r = -10 + 13. What is the remainder when (104/(-12))/(r/(-9)) is divided by 14?
12
Let g be (-4)/((-12)/27) - -1. Suppose 8 + g = r. What is the remainder when r is divided by 10?
8
Suppose -4*x + 16 = 4. Let l be 26/x + 4/12. Suppose -3*o = -15, l - 59 = -2*b - 4*o. What is the remainder when 57 is divided by b?
12
Let f = -5 + 10. Suppose f*t = 3*j + 10, -3*t + 36 - 1 = 4*j. Suppose 0 = -j*d + 2*d + 105. Calculate the remainder when d is divided by 12.
11
Let m(b) = -b**2 - 6*b + 10. Let l be m(-8). Let y(q) = -2*q - 6. What is the remainder when (-2 - (-2)/3)*-12 is divided by y(l)?
4
Let n(x) = -x**3 - 8*x**2 - 8. Let r be n(-6). Let u = -31 - r. Calculate the remainder when u is divided by 25.
24
Suppose -2*h - 131 = -7*h - 3*s, 5*s = -h + 35. What is the remainder when h is divided by 7?
4
Let o = 4 - -1. Let b = o + -3. Suppose 0 = b*q - 0*q - 52. Calculate the remainder when q is divided by 14.
12
Let w(d) = 15*d**2 + 1. Suppose -2*a - u = 2*a - 28, 5*u - 35 = -5*a. Suppose -2 - a = -y. Calculate the remainder when w(1) is divided by y.
7
Let s(p) = p**3 - 9*p**2 + 11*p - 12. Let x be s(8). Let t be -7 + (2 - (0 - -1)). What is the remainder when x*(-2 - 16/t) is divided by 3?
2
Let m be (12/18)/(2/27). Let z(t) = -t**2 + 10*t - 13. Let n be z(m). Calculate the remainder when 3 is divided by (-3 - 0)/(6/n).
1
Let k = -72 - -108. What is the remainder when k is divided by 10?
6
Suppose -76 = 4*h - 300. What is the remainder when h is divided by 30?
26
Let r(v) = -v**2 + 7*v + 6. Suppose -s + 2*s - 7 = 0. What is the remainder when 23 is divided by r(s)?
5
Let t be 6/24 - (-7)/4. Suppose 0 = -h - 4*y - t, -h - y + 1 = 0. Calculate the remainder when 74*((-1)/h + 1) is divided by 19.
18
Let b(z) = -z + 13. Let g be b(11). Suppose -4*i + g*c = -7 + 1, 3*i - 2*c = 5. What is the remainder when 2 is divided by i?
0
Suppose 2*o - 59 = -5*a + 3*o, 0 = -2*a - 4*o + 28. Let h = 59 - 24. Calculate the remainder when h is divided by a.
11
Let l be 58/3 - 2/(-3). Suppose -7*x + 2*x = -l. Suppose -3*f - 2*g + 20 + 4 = 0, 5*g = -x*f + 32. Cal