 + 3*m = -m - 10, -a*w = -4*m + 26. Let t = 12 + w. Calculate the remainder when 15 is divided by t.
3
Let g = 16 - 11. Suppose 4*w - g*a + 0 + 8 = 0, -4*w = -3*a. Suppose 0 = k - 5, -151 = -5*i + w*k + 9. Calculate the remainder when i is divided by 18.
17
Let f(o) = -5*o + 2. Calculate the remainder when 94 is divided by f(-6).
30
Suppose -2*i + 5*i = 0. Let h(f) = f**3 + f**2 - f + 7. Calculate the remainder when 20 is divided by h(i).
6
Suppose 3*c - 38 = -4*u, c - 4*u = -7 - 7. What is the remainder when 22 is divided by c?
4
Calculate the remainder when (-34 + 7)*(-4)/6 is divided by 5.
3
Let k(z) = -2*z**2 + 16*z + 8. Calculate the remainder when 28 is divided by k(8).
4
Let v(m) = m**3 - 2*m**2 + 5*m - 4. Let n(x) = -2*x**3 + 5*x**2 - 14*x + 11. Let a(l) = -4*n(l) - 11*v(l). Calculate the remainder when 57 is divided by a(-2).
27
Let x = -232 + 419. Suppose -2*n + x = 79. What is the remainder when n is divided by 14?
12
Let d(f) = f**2 - f + 2. Calculate the remainder when d(-5) is divided by 18.
14
Let z = 92 - 78. Calculate the remainder when 153 is divided by z.
13
Let c = 7 - 4. Calculate the remainder when 6 is divided by c.
0
Suppose 4*i + 17 = -7. Let f(a) = a**2 + a - 12. Calculate the remainder when 51 is divided by f(i).
15
Let o(q) = -q**3 + 6*q**2 + 5*q - 9. Calculate the remainder when o(6) is divided by 11.
10
Suppose 5*j = 3*x - 59, 2*j + 85 = 5*x - 3*j. Suppose -2*l = -l + x. Let s = l + 21. Calculate the remainder when s is divided by 3.
2
Let k = 4 + 1. Suppose 0 = -3*t - t + 16. Suppose -p + 44 = t*h + 3*p, -9 = -3*p. What is the remainder when h is divided by k?
3
Suppose 3*x - 43 - 2 = 0. Calculate the remainder when 58 is divided by x.
13
Suppose -3*r + 4 = -4*r - 4*n, -4*n - 16 = -2*r. Calculate the remainder when r is divided by 4.
0
What is the remainder when -2*(-25)/2 - 3 is divided by 7?
1
Let t be 1*27/((-3)/(-1)). Let h be (t/6 + -2)*-4. Suppose 3*d - 4*n - 185 = -h*d, 0 = -5*n. What is the remainder when d is divided by 13?
11
Suppose p + b = 0, -7 = -p + 3*b + 9. Suppose p*u - 4 = 28. What is the remainder when 22 is divided by u?
6
Suppose -5 = -2*k - 1. Let m(n) = -n**2 + n + 11. Let x be m(0). Let w = x + -6. Calculate the remainder when w is divided by k.
1
Let q = 3 + -4. Let a be ((-2)/2 + 4)/q. What is the remainder when (-3)/(a + 0) - -1 is divided by 2?
0
Suppose 2*u + 0*u = 2*p + 32, -5*u + 130 = 5*p. What is the remainder when 39 is divided by u?
18
What is the remainder when 13 is divided by 2*(-4)/2 - -12?
5
Let d be (-1)/(1/(-2))*-1. Calculate the remainder when d/6 + 426/9 is divided by 24.
23
Let j(q) = 7*q**2 - 3*q. Let t be j(2). Suppose 14 = 3*h - t. Calculate the remainder when 46 is divided by h.
10
Suppose z = 4*i - 55, i + 0*z = -2*z + 16. Calculate the remainder when 39 is divided by i.
11
Let f(b) = 11*b + 4. What is the remainder when 76 is divided by f(2)?
24
Suppose -4*u = 5*i - u - 141, -3*i + 75 = -3*u. What is the remainder when i is divided by 15?
12
What is the remainder when ((-32)/(-12) + -3)*-45 is divided by 8?
7
Calculate the remainder when 6/(((-21)/(-8))/7) is divided by 10.
6
Let b be -3 - -2 - 18/(-6). Calculate the remainder when ((-35)/b)/7*-4 is divided by 4.
2
Let u = 91 - 71. Suppose 0 = m - 5*v + 13, 0 = 2*m + m - 3*v - 9. What is the remainder when u is divided by m?
6
Suppose 0 = 3*m - 5*d - 16 + 4, 0 = -3*m - 5*d + 12. Calculate the remainder when 8 is divided by m.
0
Suppose 3*f - 4 = 11, 5*z - 4*f - 345 = 0. Calculate the remainder when z is divided by 19.
16
Suppose -3*o + 8 = -13. Suppose -p = 5*t - 28, -4*p + 10 = 4*t - t. Suppose -t - 54 = -5*n. Calculate the remainder when n is divided by o.
5
Let f = 89 - 63. Suppose 4*d + 10 = -3*l - 0*d, 0 = -3*l + d - 20. Let m = l + 20. Calculate the remainder when f is divided by m.
12
Let f(v) = v**2 - v - 2. Let d be f(3). Suppose r = -0*r + 32. Calculate the remainder when r is divided by (d/(-6))/((-6)/153).
15
Suppose x + m + 2*m = 119, 528 = 4*x - m. What is the remainder when x is divided by 33?
32
Let g be (-2)/((-4)/(-2)) - -6. Suppose -4*k - g = -5*k. What is the remainder when 3/5 + 5 + (-134)/(-10) is divided by k?
4
Suppose 0 = -9*o + 4*o + 105. What is the remainder when 81 is divided by o?
18
Suppose -t - 4*t = -150. Suppose w = 2*i - 4*w - t, 3*w = -3*i + 3. Let j = i - 3. Calculate the remainder when j is divided by 1.
0
Let w(o) be the third derivative of -o**4/8 - 13*o**3/6 + o**2. Let c be (-3 - -6 - 13)/1. What is the remainder when 49 is divided by w(c)?
15
Suppose 0*n + 5*n + 20 = 0. Let s(g) = g**2 - 4*g - 2. What is the remainder when s(n) is divided by 16?
14
Let c(m) = m**2 + 5*m - 2. Let g be c(-6). Suppose g*k - k - 9 = -u, -k = 0. Suppose 76 = 3*t + 1. Calculate the remainder when t is divided by u.
7
Suppose 0 = 4*w - u + 2 + 12, 2*u + 16 = -3*w. Calculate the remainder when 21 + 1/(w/(-8)) is divided by 13.
10
Let y = -138 + 177. What is the remainder when y is divided by 16?
7
Let b(o) = o**2 - o - 3. Let a be b(3). Suppose -a*c - 10 = -2*d, c = 3*d - 1 - 7. Calculate the remainder when 7 is divided by d.
1
Suppose -2*t + 3 = t. Let f = t - -4. Suppose 0 = 3*r - f*g - 145, g - 15 = -r + 44. What is the remainder when r is divided by 19?
17
Let p = 108 - 54. What is the remainder when 2*-1 + (p - -1) is divided by 73/4 - 1/4?
17
Suppose 0 = 4*c + s - 1524, 2*c + 4*s + 744 = 4*c. What is the remainder when 150 is divided by c/35*(-7)/(-2)?
36
Suppose -5*l - r = -4*r - 87, -5*r + 25 = 3*l. Let f be 3/(-2)*(-64)/6. Let y = f - 7. Calculate the remainder when l is divided by y.
6
Suppose 2*o - 2 = 2*c, -2*o = -5*c + 3 + 1. Calculate the remainder when 3 is divided by c.
1
Suppose -5*y + 33 = 13. Suppose -3*w + y*k = 6, -k = -w - 3*k - 2. What is the remainder when 14 is divided by (-1 - -3)/1 - w?
2
Let u(b) = -b + 7. Let w(k) = -k**2 + 9*k - 15. What is the remainder when w(6) is divided by u(5)?
1
Let w = -10 - 15. Let m = -11 - w. Let n(r) = r**3 - 5*r**2 - r - 4. Calculate the remainder when n(6) is divided by m.
12
Let b(p) = -89*p**3 - 2*p**2 - p - 1. Calculate the remainder when b(-1) is divided by 45.
42
Let u = 58 - 40. Calculate the remainder when 30 is divided by u.
12
Suppose 0*p = 2*p. Suppose 2*d - 3*d + 14 = p. Suppose -n + 2 = -6. What is the remainder when d is divided by n?
6
Let b be (8/(-6))/2*9. Let j = b + 7. What is the remainder when 1 is divided by j?
0
Let a = 138 - 67. Suppose 29 = -3*b + a. Calculate the remainder when 4/6*(59 + 1) is divided by b.
12
Let j(t) = -t**3 + 9*t**2 - 7*t + 23. What is the remainder when 60 is divided by j(8)?
29
Let y = -22 - -36. Calculate the remainder when ((-39)/2)/((3/2)/(-3)) is divided by y.
11
Let m be 30/9 - (-4)/6. Suppose m*w = 2*t - w - 7, -w = t - 7. Calculate the remainder when -2 + 117/6 + (-6)/4 is divided by t.
4
Suppose -60 = -0*o - 3*o. Let x be o/(-6)*(-3 + -3). Suppose -3*p + 2*p = -x. What is the remainder when 58 is divided by p?
18
Suppose 5 - 10 = -q. What is the remainder when 14 is divided by q?
4
Let q be 1/3 - (-70)/(-3). Let k = 24 - q. What is the remainder when k is divided by 16?
15
Let y(x) = 4*x**2. Let b(a) = 29*a**3 + a**2 - a + 1. Calculate the remainder when b(1) is divided by y(-2).
14
Let m(r) = 22*r**2. Suppose 0 = 2*s + s - 18. Calculate the remainder when m(1) is divided by s.
4
Let x(n) = n**3 - 11*n**2 - 12*n + 14. Calculate the remainder when 53 is divided by x(12).
11
Suppose -k + 9*h + 74 = 4*h, 0 = -2*k - h + 170. Calculate the remainder when k is divided by 29.
26
Let w(b) = -b + 19. What is the remainder when 103 is divided by w(-16)?
33
Suppose 5*n = 3*n. Suppose -3*x + 0*v = 4*v - 30, n = -5*v. What is the remainder when 18 is divided by x?
8
Suppose -2*q = 76 - 470. What is the remainder when q is divided by 40?
37
Let x be 31 - ((-4 - -2) + 1). Suppose 0 = -5*n + n + x. Calculate the remainder when 22 is divided by n.
6
Suppose 5*s = 5*f - 45, 0 = 5*f - 2*s + 3*s - 39. Suppose -3*p - 400 = -f*p. Suppose 5*c = 45 + p. What is the remainder when c is divided by 9?
7
Let d = 17 - 9. Suppose 0*s - d = -s. Let r = 44 + -29. What is the remainder when r is divided by s?
7
Suppose o + 2*o - 39 = 0. Let h(x) = 10*x - 7. Calculate the remainder when h(3) is divided by o.
1