 Suppose x*w = 10 + 41. What is the remainder when w is divided by 9?
8
Let m be 0/5 + (-180)/(-3). Suppose -5*a + 7*n + m = 2*n, 17 = a - 2*n. Let v = 46 + -28. Calculate the remainder when v is divided by a.
4
Suppose 2*c = 3*c + 3. Let v(u) = u**3 + 4*u**2 - u. What is the remainder when 22 is divided by v(c)?
10
Let x be (-1 + 1/5)*5. Let g(t) be the first derivative of -4*t**2 - 2*t + 3. What is the remainder when g(x) is divided by 16?
14
Let c(w) = w**2 + 1. Let l(u) = 3*u**2 + 8*u + 12. Let q(o) = -2*c(o) + l(o). What is the remainder when 11 is divided by q(-7)?
2
Suppose 0 = -3*h + 8*h - 35. Let o(f) = 4*f - 4*f - 4 + f. What is the remainder when o(h) is divided by 2?
1
Suppose 0 = -d - 0*k + k + 26, -k - 53 = -2*d. Calculate the remainder when 30 is divided by 1/3*(d - 3).
6
Let j(a) be the second derivative of -35*a**3/6 + a**2 - a. Calculate the remainder when j(-1) is divided by 10.
7
Suppose q + 3 = 4, 23 = 5*l + 3*q. Suppose 3*b = 30 + 18. Suppose -5*m + 2*c + 26 = 0, -m = 3*c + 2*c - b. Calculate the remainder when m is divided by l.
2
Let y(u) = u - 3. Let s be y(10). Suppose -20 = -s*v + 3*v. Calculate the remainder when 17 is divided by v.
2
Let w(h) = 15*h - 1. Suppose 6 = 2*m + m. Let i be w(m). Calculate the remainder when -2*i/4*-2 is divided by 15.
14
Suppose -z + 17 = -22. Let d = -5 + z. Calculate the remainder when d is divided by 9.
7
Let w(g) = -g**2 - g + 2. Let v be w(-5). Let n(t) = -2*t + 6. Calculate the remainder when n(-8) is divided by (-2)/4*v - -3.
10
Calculate the remainder when 9 is divided by (1*3)/(-10 + 11).
0
Let m(b) be the third derivative of b**5/20 - b**4/8 + b**3/6 - b**2. What is the remainder when 26 is divided by m(2)?
5
Let s = 73 + -58. Calculate the remainder when s is divided by 1.
0
Let s = -3 - 1. What is the remainder when (4/(-6))/(s/78) is divided by 7?
6
Let x be (-6 + 2)*12/(-8). Let l = x - 6. Suppose l*i = 3*i - 6. What is the remainder when i is divided by 2?
0
Let c be 1/((-7)/4 - -2). Suppose 0 = -4*z + c + 24. What is the remainder when -1*(-1)/1*20 is divided by z?
6
Suppose -2*n + 3*l + 7 + 6 = 0, -2*n + 18 = 2*l. Calculate the remainder when 10 is divided by n.
2
Suppose -s + 47 = 7*w - 3*w, 5*w + 2*s = 61. Suppose 18 = 5*t + 2*c, t + 4*c = w + 7. Calculate the remainder when 2 is divided by t.
0
Suppose 2*q = 2*u - u + 7, -4*u - 13 = -5*q. Let s be (-1 - (1 + -3))*8. Suppose v + 2*v = 4*l + s, q*l = 5. Calculate the remainder when 7 is divided by v.
3
Let a = -1 - -10. Suppose 0 = -5*o - 10, 4*t + 0*o = -o + 18. Suppose 10 = 3*y - t. Calculate the remainder when a is divided by y.
4
Let f(l) = 3*l**3 - 2*l**2 + 2*l - 1. Let j be f(1). Suppose 3*y = j*y + 10. Suppose -3*h + 21 = 9. What is the remainder when y is divided by h?
2
Calculate the remainder when 16/(-10)*(-5)/1 is divided by ((-2)/(-5))/((-22)/(-330)).
2
Let j(p) = -5*p**2 - 4 - 3*p**3 + 6*p + 7*p**3 - 3*p**3. Let q(t) = t**2 + t + 2. Let m be q(-2). Calculate the remainder when 6 is divided by j(m).
2
Suppose -r + 3*r - 205 = -5*c, 501 = 5*r + c. Suppose -4*b + 0 = -r. Calculate the remainder when b is divided by 9.
7
Suppose 3*a - 54 = 2*a. Let g = a - 29. What is the remainder when g is divided by 13?
12
Let w = 135 + -73. What is the remainder when w is divided by 13?
10
Suppose 70 = -v - 4*v. What is the remainder when 11 is divided by (-12)/8*v/3?
4
Let r be 0/3 + 0 + 2. Suppose 3*l = k - 2*k + 103, 0 = -5*l + r*k + 168. Calculate the remainder when l is divided by 12.
10
Let z(x) = -x**3 + 3*x**2 + 6*x - 6. Let g be z(4). What is the remainder when (-575)/(-20) + g/8 is divided by 15?
14
Suppose -n + 9 = 2*n. Let i(d) = d**3 - d**2 - 3*d - 4. Calculate the remainder when 27/2 + 114/228 is divided by i(n).
4
Suppose 2*a = 19 + 17. What is the remainder when a is divided by 5?
3
Suppose 64 = 2*u + u - 2*n, 0 = 3*n - 12. What is the remainder when u is divided by 3/(-9) + (-28)/(-3)?
6
Let u be 9908/(-14) + 4/(-14). Let s be (-4)/10 - u/20. Suppose 0 = 5*l + 2*n - s, -l + 0*l + 2*n = 5. Calculate the remainder when 9 is divided by l.
4
Let d(g) = -2*g**2 + 2*g - 3. Let v(j) = -4 + 5 - j + 0 + j**2. Let m(u) = 2*d(u) + 5*v(u). Calculate the remainder when 21 is divided by m(4).
10
Let p(i) = 2*i - 1. What is the remainder when 2/6 + (2 - (-89)/3) is divided by p(6)?
10
Suppose -5*o + 0*x + 30 = x, -24 = -4*o - 4*x. Suppose -12 = 2*y - o*y. Let j(h) = 42*h + 46. What is the remainder when j(-1) is divided by y?
1
Suppose 0 = -46*c + 42*c + 132. What is the remainder when 64 is divided by c?
31
Suppose 8 = -4*p - 0, 3*j = -5*p + 11. What is the remainder when 17 is divided by j?
3
Suppose 0 = o + 2, 0*o + 3*o = -5*d + 69. What is the remainder when 27 is divided by d?
12
Suppose z - 4 - 60 = 0. What is the remainder when 1*-2 + (-64)/(-2) is divided by z/6*(-18)/(-12)?
14
Let j(a) = 2*a - 2. Let t(m) = -2*m + 2. Let r(n) = 3*j(n) + 2*t(n). Let d = 11 + 6. What is the remainder when d is divided by r(4)?
5
Suppose -2*s + a + 24 = 0, 2*s = 7*s - 3*a - 60. Suppose -10 = 5*z - 50. Let i = s - z. What is the remainder when 11 is divided by i?
3
Suppose 5*d - 290 = 4*t, 2*t - 222 = -5*d + 68. Calculate the remainder when d is divided by 12.
10
Suppose -4*k + 330 = 2*k. Calculate the remainder when k is divided by 19.
17
Let y(t) = 9*t + 2. Let l = -3 - -5. What is the remainder when 39 is divided by y(l)?
19
Let z be 3*1/(-3)*-4. Suppose 3*h + 3*x - 1 = 2, -14 = h + 4*x. What is the remainder when z/((-1)/(-8)*2) is divided by h?
4
Let d(v) = -v**3 + 15*v**2 + v - 12. Let p(u) = 14*u**3 + u**2 - 3*u + 3. Let z be p(1). Calculate the remainder when 8 is divided by d(z).
2
Let n(h) = 41*h - 11. Calculate the remainder when n(3) is divided by 23.
20
Suppose 0 = 2*p - 2 - 22. Let a be 92/(-3) - 4/(-6). Let g = a + 52. What is the remainder when g is divided by p?
10
Suppose o + 2*o + 4*k = 173, -4*o + 3*k + 189 = 0. Calculate the remainder when o is divided by 13.
12
Let w = 0 + 5. Let y(c) = -2*c - 9. Let b be y(-8). Suppose w*u - m = u + b, -4*m - 6 = -5*u. What is the remainder when 4 is divided by u?
0
Suppose -8*a + 60 = 7*a. Let g be (1 - -1)/((-4)/(-30)). Suppose -4*z + 2*w + 34 = -0*z, -5*w + g = 0. Calculate the remainder when z is divided by a.
2
Suppose -46 + 4 = -3*b. Suppose 6*k + 5*k = 44. What is the remainder when b is divided by k?
2
What is the remainder when (-12)/(-42) - 75/(-7) is divided by 6?
5
Suppose 2*v - 23 = -5*j, 0*j + 4*j - 31 = -3*v. Let b = -1 + v. Suppose -d = 5*k - 107, -k = -2*d + 5*d - 27. What is the remainder when k is divided by b?
5
Let x(j) = -63*j + 1. Let k be x(-1). Suppose -2*o - 2*o - k = 0. Let r = 35 + o. What is the remainder when r is divided by 11?
8
Let g be 3 - (2 + -1)*-3. Let o = 12 + g. What is the remainder when 53 is divided by o?
17
Let o(y) = y**3 + 7*y**2 + 9*y + 8. Let s be o(-6). Calculate the remainder when 50 is divided by 2/10 - 128/s.
11
Let z(c) = 3*c**2 + 7*c + 4. What is the remainder when z(-4) is divided by 7?
3
Let x(h) = -h**3 + 11*h**2 - h + 11. Let l be x(11). Suppose l = 2*o - 33 - 5. What is the remainder when o is divided by 10?
9
Let k(j) = j**3 + 17*j**2 - j + 10. What is the remainder when 78 is divided by k(-17)?
24
Let f be 1 + (-2 + -1 - -5). Suppose -94 + 1 = -f*h. What is the remainder when h is divided by 11?
9
Suppose h = -8 + 34. What is the remainder when h is divided by 21*(-2*1)/(-6)?
5
Let x = 20 + -8. Suppose -5*h + k + 163 = 3*k, 97 = 3*h + 2*k. Calculate the remainder when h is divided by x.
9
Let x(g) = g + 4*g**2 - g**3 - 4*g**2 + 28. Let y be x(0). Suppose -3*z + y = 1. Calculate the remainder when 24 is divided by z.
6
Let u be (2 + 15)/(-1 - -2). Suppose 0 = -a + 2 + u. Calculate the remainder when a is divided by 7.
5
Suppose 7*t - 10 = 2*t. Suppose g = -t*g + 24. Let s(w) = -w + 20. What is the remainder when s(6) is divided by g?
6
Let b(f) = f**3 - 3*f**2 - f + 3. Let u be b(2). Let o = u - -13. What is the remainder when 28 is divided by o?
8
Let w(u) = -39*u + 1. Let a be w(-1). Suppose -3*t = 2*t - a. What is the remainder when 23 is divided by t?
7
Suppose -43 = w - 2. Let c be (2/1 - w) + 1. Let d = c - 31. What is the remainder when 38 is divided by d?
12
Let p = 33 + -1. What is the remainder when p i