e -z + 12 = 2*w - 15, -2*w + 3*z = -39. Calculate the remainder when w is divided by 10.
5
Suppose 5*m = 5*o + 45, -3*m - 3*o - 1 = 2. Suppose -14 = -m*b + 2*b. Calculate the remainder when 20 is divided by b.
6
Let l(s) = 5*s**2 + 2*s + 3. Calculate the remainder when l(-2) is divided by 10.
9
Suppose 4*u - 928 = -0*u - 3*x, 3*u - 717 = 3*x. Let z = u - 160. What is the remainder when z is divided by 19?
18
Suppose 3*z - 5 + 2 = 0. What is the remainder when z is divided by 1?
0
Let v = -2 - -2. Suppose v = l - q + 6*q + 8, -68 = -4*l + 5*q. What is the remainder when 22 is divided by l?
10
Let i(j) = 39*j**2 - 2*j - 1. Suppose -3*o = -4*o. Suppose 2*n = -o*n - 2. Calculate the remainder when i(n) is divided by 14.
12
Suppose 5*y - 874 = 36. What is the remainder when y is divided by 46?
44
Let b(s) = -s**3 - 17*s**2 - 20*s + 4. Suppose 32 = -0*l - l - 4*j, -4*j + 32 = -3*l. What is the remainder when b(l) is divided by 14?
12
Let i = -10 - -16. Suppose -5*n = -25, 5*k - 3*n = -n + 30. Calculate the remainder when (-12)/k*(-44)/6 is divided by i.
5
Let b be (-1)/((1/1)/9). Let z = b - -15. Suppose c - 9 = -2*c. Calculate the remainder when z is divided by c.
0
Suppose -2*v - 60 = -2*x + 60, 0 = 4*v - 8. Suppose -y - 2*r + 49 = 2*y, 4*y + r - x = 0. Let q = y + 10. Calculate the remainder when q is divided by 13.
12
Let n = 17 + -3. Suppose 2*t + m = 14, 4*m - 5 = -4*t + 31. Suppose 0*d + t*d = 205. Calculate the remainder when d is divided by n.
13
Let f(q) = -q - 8. Let v be f(-10). Suppose 3 + 3 = v*w. Suppose -k = -5*z + 59, w*z - 2*k + 13 - 54 = 0. What is the remainder when 20 is divided by z?
9
Suppose -3*p + 62 = -2*p. Calculate the remainder when p is divided by 17.
11
Suppose -4*c = -10*t + 5*t - 242, 3*c = -4*t + 166. What is the remainder when c is divided by 0 + -4 + 76/4?
13
Suppose 5*c - 93 = -4*y, 2*y = -2*c + 5*c - 69. What is the remainder when c is divided by 3?
0
Suppose s - 4 = -0*s. Suppose -d = n - 6, 4*d - 8*n + s*n = 24. What is the remainder when d is divided by 4?
2
Calculate the remainder when 51 is divided by (2/(-1))/1*33/(-6).
7
Let l = 93 + -54. What is the remainder when l is divided by 10?
9
Let b = -6 + 12. Let o be (-18)/(-10) - (-2)/10. What is the remainder when o*1*(4 - -1) is divided by b?
4
Let n(m) = -m**3 + 23*m**2 - 18*m - 12. What is the remainder when n(22) is divided by 13?
11
Suppose -3*c + 24 = -18. Suppose 5*m - 374 = 4*l, -3*m + 224 = -2*l - 0*l. Let b = m + -48. What is the remainder when b is divided by c?
12
Let i(p) = -p**3 - 7*p**2 + 11*p - 5. Let t be i(-8). Let a = t + 45. Calculate the remainder when 61 is divided by a.
13
What is the remainder when ((-1)/2)/((-3)/84) is divided by 8?
6
Let v(h) = h**3 + 4*h**2 + 15*h - 5 - 7*h + 6*h**2. Calculate the remainder when 7 is divided by v(-9).
3
Suppose 0 = -2*v + 5*v - 9. Let m(w) = -w**3 + 4*w**2 - 3*w. Let j be m(3). Let t = v - j. What is the remainder when 5 is divided by t?
2
Suppose -2*w = -a + w + 2, w = 5*a + 4. Let y be (-5)/(-15) - a/(-3). Suppose y*o = 3*m + 5*o + 11, -12 = 3*o. What is the remainder when 7 is divided by m?
1
Let x(a) = -3*a**2 + 4*a + 11. Let q(j) = -10*j**2 + 11*j + 32. Let y(n) = 2*q(n) - 7*x(n). Calculate the remainder when 40 is divided by y(9).
12
Suppose 0 = 2*j + 2*v - 8 - 6, -2*j + 5 = -v. Suppose -2*h + j*h - 20 = 0. What is the remainder when h is divided by (-4)/(-3)*(-1 + 4)?
2
Let z(j) = j - 1. Let a be z(12). Let p(k) = 5*k**2 + 4. Calculate the remainder when p(-3) is divided by (-8)/(-4) - a/(-1).
10
Let c(o) = o + 1. Let d(g) = g**3 - 15*g**2 - 3*g - 22. Let q(m) = -3*c(m) - d(m). Calculate the remainder when q(15) is divided by 11.
8
Suppose -3*s = -12, 39 = 2*b + 3*s + 1. Suppose b*c - 14*c + 11 = 0. What is the remainder when c is divided by 6?
5
Let n(g) be the third derivative of g**6/120 - 13*g**5/60 + 7*g**4/12 - 17*g**3/6 + 2*g**2. Calculate the remainder when 26 is divided by n(12).
5
Suppose 101 = u + 5*o, -424 = -5*u + 4*o - 2*o. Suppose 0 = 2*k - 33 - 11. What is the remainder when u is divided by k?
20
Let u = 6 - 3. Suppose -3*t = w - 70, -u*w = t - 12 + 2. Let h(j) = -j**2 + 8*j - 2. Calculate the remainder when t is divided by h(5).
12
Let y = -156 - -267. Let l = y + -77. Calculate the remainder when l is divided by 18.
16
Suppose t + 4*t - 81 = -4*p, -4*t = -3*p + 84. What is the remainder when 70 is divided by p?
22
Suppose 0*z - 3*z = -81. Suppose v + 0*v = -2*j + 1, 3*v = 3*j - 15. Suppose p = 3*f + 27, -4*f - 8 = -j*f. Calculate the remainder when z is divided by p.
12
Suppose 6 = 4*v + 2*d, 2*v - 5*d = 5*v - 8. Calculate the remainder when 44 is divided by 10/(-8)*(v - 13).
14
What is the remainder when 2/(-5) - (-861)/15 is divided by 29?
28
Let a = 84 + -65. Calculate the remainder when a is divided by 6.
1
Let d(v) = 6*v**2 - 18*v - 3. What is the remainder when 38 is divided by d(4)?
17
Suppose -7 - 14 = -3*d. Suppose 8*i = 4*i + 20. Suppose -9 = -4*g + n, -3*n + 4 = -i. Calculate the remainder when d is divided by g.
1
Let u(y) = 5*y + 4. Let x be (-1)/(-5) + 372/15. Let z = -16 + x. What is the remainder when u(6) is divided by z?
7
Suppose 0 = -3*c + 6*c - 39. Let j = -43 + c. Let p = -18 - j. Calculate the remainder when 34 is divided by p.
10
Suppose 5*d - 2*d = 15, -14 = -3*w + 2*d. Calculate the remainder when 30 is divided by w.
6
Suppose -g + 25 = 4*g. Let n = 141 + -139. Calculate the remainder when g is divided by n.
1
Let r(y) = 2*y - 4. Let m(s) = -s**2 - 6*s - 2. Let q be m(-4). Let t(z) = z**2 - 4*z - 6. What is the remainder when r(7) is divided by t(q)?
4
What is the remainder when 67 is divided by 8/10 - 555/(-25)?
21
Suppose 0 = -3*z - 0 + 6. Calculate the remainder when 6 is divided by z.
0
Suppose 2*v - k - 92 = 0, -3*v - 5*k + 93 = -45. What is the remainder when v is divided by 17?
12
Calculate the remainder when (-1*(-2)/2)/((-41)/(-3362)) is divided by 43.
39
Let c(q) = 2*q**3 + 2. What is the remainder when 34 is divided by c(2)?
16
Suppose 3*w + 16 = -3*y + 4*w, -3*w - 18 = 2*y. Let j be (-2 + y/(-4))*-4. Suppose -j*f - 111 = -5*f. What is the remainder when f is divided by 13?
11
Let b be ((-2)/(-4) + 1)*4. Let i = b - -1. What is the remainder when 11 is divided by i?
4
Suppose 3*q + f = 176, -4*f = -9 + 1. Suppose q = 3*k - k. Calculate the remainder when k is divided by 15.
14
Let m be (-1*1)/(11/(-33)). Suppose m*u + 2*u - 20 = 0. Calculate the remainder when u is divided by 3.
1
Suppose r - 60 = -2*r. Let i = -7 + r. What is the remainder when 25 is divided by i?
12
Suppose -5*a + a = -8. Let g(v) = 1 - 11*v - v**2 + 6 - a. Calculate the remainder when 44 is divided by g(-10).
14
Let z(l) = 9*l**3 + l**2 + l + 1. Let v be z(-1). What is the remainder when 2/8 + (-366)/v is divided by 16?
14
Let x = -6 + 10. What is the remainder when 66 is divided by x/(-12) + (-104)/(-6)?
15
Suppose -2*x + 3*x = -4*v - 73, 0 = 2*v - 4*x + 32. Calculate the remainder when 59 is divided by v/12*(-80)/6.
19
Suppose 0 = -12*s + 8*s + 440. Calculate the remainder when s is divided by 28.
26
Let w be 0/(-2)*(-14)/(-28). Let z = -3 + -8. Let j = w - z. What is the remainder when 41 is divided by j?
8
Let d = 14 - -4. Let l(h) = h**3 + 9*h**2 + 8*h + 28. Calculate the remainder when l(-7) is divided by d.
16
Suppose -5*r + 2*r = 117. Suppose 5*j - 2*j = 3*s + 165, 3*j - 171 = -3*s. Let m = j + r. Calculate the remainder when 32 is divided by m.
15
Let u = 71 - 68. Calculate the remainder when (-1)/(1/(-7)*1) is divided by u.
1
What is the remainder when 43 is divided by 1 + 166/8 - 127/(-508)?
21
Suppose -a - 135 = -2*a. Suppose 4*q - q - a = 0. What is the remainder when q is divided by 12?
9
Suppose -5*r = -f - 6 - 11, -2*r = 4*f - 20. Suppose 10 = 3*i - 5*z, 9*i - 5*z = r*i + 20. Suppose 57 = i*t - 8. Calculate the remainder when t is divided by 5.
3
Let n = -91 - -109. Calculate the remainder when 68 is divided by n.
14
Suppose -n = -0*t + t - 7, 0 = n + 5. Let b = 53 - 8. Calculate the remainder when b is divided by t.
9
Let l be (((-6)/(-3))/(-1))/1. Let h be (21/9)/(l/30). Calculate the remainder when (4 + -3)/((-1)/h) is divided by 12.
11
Let o be 1/2 + (-203)/14. Calculate the remainder when 78 is divided by ((-63)/o)/((-2)/(-12)).
24
Suppose -2