10
Let m be (12 + 2)*(0 + 1). Let s = m + 2. What is the remainder when s is divided by 6?
4
Suppose l = -0 + 3. Suppose 5*k + 4 = 3*q, -2 = -2*k + q - 4. What is the remainder when (-1)/k - (-45)/6 is divided by l?
2
Let f be -1*-3*(-3)/9. Calculate the remainder when 21 is divided by (f + 7)/(-2 - -3).
3
Suppose 7*w - 5*w - 66 = 0. Calculate the remainder when 194 is divided by w.
29
Let g(t) = 3*t**2 + 3*t - 17. Calculate the remainder when g(4) is divided by 16.
11
Suppose x + 0*x - 4*a - 4 = 0, 3*a + 20 = 5*x. Suppose -4*l + d + 54 = 0, 3*l - 4*d = -d + 36. Calculate the remainder when l is divided by x.
2
Let i = 31 + -16. Calculate the remainder when 44 is divided by i.
14
Let k be 2/(-10) + (-59)/5. Let v = k + 28. Calculate the remainder when -2 + 31 + 3/3 is divided by v.
14
Suppose -4*g = 3 - 23. Let h = 4 + g. Suppose 3*w = 3*p - 105, -3*w + 62 = 2*p - 3. What is the remainder when p is divided by h?
7
Let p be -6*(-1 - 24/(-9)). Let i = p - -32. What is the remainder when i is divided by 6?
4
Let g(h) = h**3 - 6*h**2 + 4*h + 4. Let b(t) = t**3 + 4*t**2 - t + 2. Let n be b(-4). Calculate the remainder when 55 is divided by g(n).
27
Let j(r) = -r**2 - 3*r - 3. Let z be j(-3). Calculate the remainder when 20 is divided by 3/(-9) - 22/z.
6
Suppose 0 + 3 = -3*f. Let j = f + 3. Suppose -4*m + 3*m + 4 = 0. Calculate the remainder when m is divided by j.
0
Let g(k) = 2*k - 1. Suppose -4*f = -3*f - 15. Calculate the remainder when 9*(f/(-9) + 3) is divided by g(4).
5
Let u = -4 + 15. Suppose 5*l + 15 = 0, -a = -l - 4*l - 18. Calculate the remainder when u is divided by a.
2
Let g(k) = -k**2 - 5*k - 1. Let z = 1 + -1. Suppose -5*u + q - 19 = -q, -q + 2 = z. What is the remainder when 14 is divided by g(u)?
4
Let d = 5 - 4. Let i = d - -10. What is the remainder when 21 is divided by i?
10
Suppose 3*l - 20 = -2*f, -2 = -5*f + 2*l + 10. Suppose f*a + 0*a - 56 = 0. Suppose -16 = -m + a. What is the remainder when m is divided by 11?
8
Let n(o) = o**2 + 7*o - 6. Let b be n(-8). Suppose -48 = -b*y - 10. Calculate the remainder when 75 is divided by y.
18
Calculate the remainder when ((-23)/2)/((-2)/24) is divided by 20.
18
Let v be -1 + 13 + (-1 - 0). Let z(u) = 5*u**2 - 1. Let o(a) = -9*a**2 + a + 3. Let t(k) = v*z(k) + 6*o(k). Calculate the remainder when 2 is divided by t(-5).
0
Let x = 12 - 11. Let w(k) = 7*k**3 + 1. Calculate the remainder when 15 is divided by w(x).
7
Let v be 0/(-1) - -2 - 18. Calculate the remainder when -1*(-1 - 1) - v is divided by 10.
8
Let m(x) = -x**2 - 11*x - 6. Let r be m(-10). Suppose 4*b - r*l = 84, 2*l - 25 = 7*l. What is the remainder when b is divided by 6?
4
Let u(l) = l**2 + 4*l - 1. Suppose 3*m = 2*f + 2*f - 11, 4*f + 19 = -3*m. Calculate the remainder when 15 is divided by u(m).
3
Suppose -h + 2 = g - 3*h, -4*h = 0. Suppose -g*s + s = -16. Suppose -5*a + 146 = -84. Calculate the remainder when a is divided by s.
14
Suppose 5*s = 7*s - 54. Calculate the remainder when s is divided by 15.
12
Suppose 23 + 45 = 4*n. Let q = 8 - 6. Suppose -30 = -q*p + 4*b - b, 4*p = -3*b + 24. Calculate the remainder when n is divided by p.
8
Let b = 39 + -17. What is the remainder when 87 is divided by b?
21
Let f = -27 + 46. Calculate the remainder when (1/(-3))/(-2 + 874/438) is divided by f.
16
What is the remainder when 6/(-10) - (-10813)/55 is divided by 25?
21
Suppose -d + 4*k - 16 = -0*k, -14 = -d - 2*k. Suppose -3*w = -2*w + 1, -5*w + 11 = d*i. Calculate the remainder when 2/7 - 80/(-14) is divided by i.
2
Let j(n) = n**2 - 7*n + 5. Let y be j(7). Suppose 0 = -y*w + 60 + 155. What is the remainder when w is divided by 11?
10
Suppose -g - 7 + 2 = 0, 4*q - g - 13 = 0. What is the remainder when (14/10)/((-1)/(-5)) is divided by q?
1
Let m = 25 + -14. Calculate the remainder when 65 is divided by m.
10
Suppose -5*v + 21 = 1. Let w be 4/16 - 51/(-4). Suppose v*x = 43 + w. Calculate the remainder when 40 is divided by x.
12
Suppose 0 = 6*a + 24 - 228. Calculate the remainder when 134 is divided by a.
32
Let b be (-5)/(-2) + (-2)/4. Let s = 17 + 16. What is the remainder when s is divided by 17*(b + 2 - 3)?
16
Let j(b) be the first derivative of -b**4/4 + b**3/3 + 25*b - 1. What is the remainder when j(0) is divided by 14?
11
Suppose -s - 300 = -5*l - 0*s, -4*l + 240 = -s. Calculate the remainder when l is divided by 16.
12
Let g = -2 - -6. Let j(r) = r**2 - 6*r - 81. Calculate the remainder when j(13) is divided by g.
2
Suppose -3*o + 4*j = -j - 115, -2*o - 4*j = -40. Calculate the remainder when 59 is divided by o.
29
Suppose 14*z = 10*z. Calculate the remainder when 74 is divided by 2 + 17 + z + 0.
17
Let m(t) = t**2 + t. Let p be m(0). Suppose p = 3*l + 2*l - 40. What is the remainder when l is divided by 4?
0
Let h = -25 + 36. Calculate the remainder when 32 is divided by h.
10
Let m = -40 + 92. Suppose -4*q + 0*q = -m. Let n = -3 + 7. Calculate the remainder when q is divided by n.
1
Suppose 32*v = 18*v + 98. Let s = -3 + 1. Let k = s + 5. Calculate the remainder when v is divided by k.
1
Let t(z) = 6*z**2 - 4 + 4*z + 5 + 1 + 2. What is the remainder when 38 is divided by t(-2)?
18
Let k(a) = 2*a - 2. Let i be k(2). Suppose 5*b = -i*j + 3*j + 106, -2*b - 2*j = -40. What is the remainder when b is divided by 6?
3
Let w = 2 - 2. Let s = 0 - w. Suppose -2*i = 5*h - 11, s = i - 3*i - h + 31. Calculate the remainder when i is divided by 10.
8
Suppose 0 = 2*k - 3*k + 5, 0 = 5*c + 4*k - 40. Suppose -3*w = d - c, 3*d + w - 33 = -w. Calculate the remainder when d is divided by 7.
6
Let a(z) = 2*z**3 - z**2 + 2*z - 3. Let p be a(5). Suppose p = 7*m - 3*m. Calculate the remainder when m is divided by 15.
13
Suppose -3*r = -0*r - 18. Let c(d) = 2*d - 2. Let a be c(r). Suppose -2*x = -2*l - a, 4*x + 0*l - 30 = -l. What is the remainder when x is divided by 4?
3
Suppose 0 = -o + 2*o. Suppose 4*t = -5*q + 357, 5*t - 282 = -4*q - o*q. Calculate the remainder when q is divided by 25.
23
What is the remainder when 44/(-12)*(6 - 12) is divided by 6?
4
Let s = 7 - 8. Let y be (-2 + 3)*(-8 - s). Let r = 19 + y. Calculate the remainder when 34 is divided by r.
10
Suppose -2*c - 2*f - 1 = -35, c - f = 23. What is the remainder when 186/5 + 1/(-5) is divided by c?
17
Suppose 0 = 14*o - 9*o. Suppose o = -11*u + 14*u - 21. Calculate the remainder when 16 - (0 + 2 + -4) is divided by u.
4
Let j = 35 - 21. Calculate the remainder when 80 is divided by j.
10
Suppose 0 = -5*w - 0*w + 130. Let l = -17 + w. Suppose -4*a = -5*s + a + 65, -5*a = 4*s - 88. What is the remainder when s is divided by l?
8
Let b(w) = -w**3 + 9*w**2 - 8*w - 6. Let s be b(6). Suppose 2*n = 2*d + 32, 0*d - 5*d = -3*n + s. Calculate the remainder when 37 is divided by n.
11
Suppose 16 = 2*p - 58. Suppose -c + 4*q = -p, 0*c + c = -4*q + 61. Suppose -d + 31 = 2*h, -h + 2*d - 11 = -2*h. What is the remainder when c is divided by h?
15
Suppose -s - 140 = -2*s. Suppose -s = f - 6*f. What is the remainder when f is divided by 15?
13
Suppose -h = -3*h + 4*g + 30, -g + 2 = 0. Suppose -4*p + 3*p + 5*l = -h, 0 = -l - 3. Suppose 0 = 2*r - 6 - p. What is the remainder when r is divided by 3?
2
Let q = -64 - -105. What is the remainder when q is divided by 14?
13
Suppose 62 = -2*p - 40. What is the remainder when (p/(-9) + -3)*12 is divided by 11?
10
Let r(y) = y**3 - 7*y**2 - 6*y + 8. Suppose 5*c - 65 = 5*x, 18 + 4 = 4*c + 2*x. What is the remainder when 71 is divided by r(c)?
23
Let m be (2 - 2 - -1) + 39. Suppose k = -n + 5, -4*n + 16 = -8*n. Suppose 4*v = -5*o - k, 5*v + 2*o - m = 6*o. Calculate the remainder when 6 is divided by v.
2
Calculate the remainder when (-496)/(-12)*(-6)/(-4) is divided by 22.
18
Let c = -124 - -220. Let k = c + -67. What is the remainder when k is divided by 11?
7
Let g(v) = v**3 - 5*v**2 - v + 5. Let u be g(5). Suppose -3 = 2*j + j. What is the remainder when 5 is divided by 1 - (j - u/(-3))?
1
Let w(i) = -13*i**3 + i + 1. What is the remainder when 50 is divided by w(-1)?
11
Let f be 1*4*(-2)/(-4). Let u = -33 + 35. Suppose f*l = 2 + u. Calculate the remainder when 2 is divided by l.
0
Let z = -11 + 11. Let b(p) = 0*p**2 - p**2 + 6 - 3. Calculate the remainder when 4 is divided by b(z).
1
Suppose p = 1 + 1. Let v = -9 - -11. Calculate the remainder 