1
Suppose 0 = -29*q + 25*q + 28. Calculate the remainder when 13 is divided by q.
6
Suppose -29 - 69 = -3*o - 4*n, -o + 4*n + 54 = 0. Calculate the remainder when o is divided by 3 + -3*(-34)/6.
18
Suppose -4*r - 4 = 0, -3*r = 2*x - 6*r - 29. What is the remainder when x is divided by 7?
6
Suppose 5*n + t = -4 + 2, 4*t - 11 = -n. Let c = n - -8. What is the remainder when (-3 - -1)*(-20)/2 is divided by c?
6
Let z(f) = -f**3 + f**2 + 10*f - 4. Let p be z(7). Suppose -4*y + 56 = 4*l, 2*l + 3*l - 64 = y. Calculate the remainder when ((-2)/4)/(3/p) is divided by l.
12
Let h(i) = -6*i - 11. What is the remainder when h(-6) is divided by 14?
11
Let i(b) = 2*b**3 - b**2 - 4*b. Let h = 2 - -1. What is the remainder when i(h) is divided by 18?
15
Suppose -10 = -i + 4*a, 3*i = 4*i + 3*a - 38. What is the remainder when 49 is divided by i?
23
Let k(b) = 11*b**2. Let c(u) = -u**3 - 5*u**2 - 5*u + 2. Let d be c(-4). Suppose -5*g + 81 - d = 0. Calculate the remainder when k(-2) is divided by g.
14
Suppose -14 = 6*c - 8*c. Calculate the remainder when 27 is divided by c.
6
Calculate the remainder when 10 is divided by (-10)/(-15)*36/8.
1
Let l(b) = b**2 + 5*b + 6. Let c be -5 + (0 + 1)*-1. What is the remainder when 21 is divided by l(c)?
9
Suppose 0 = t + 3*t - 28. Let a be 0/(1/((-1)/(-1))). Suppose -2*q - 5*g - 12 = a, -2*g - 2 = 3*q - 6. Calculate the remainder when t is divided by q.
3
Let j(v) = -v**2 - 11*v + 3. Let s be j(-11). Let l = 49 - 35. Calculate the remainder when 32 is divided by (-1)/((-1)/l) + s.
15
Let a = -12 + 13. Suppose 41 = 2*q + a. What is the remainder when 77 is divided by q?
17
Suppose -5*p - 2*y + 73 = 0, 2*p - 2*y = 29 + 3. Calculate the remainder when p is divided by 7.
1
Suppose -w - 2*w = 0. Suppose m - 4*m + 9 = w. Suppose b = -m*b + 52. Calculate the remainder when 25 is divided by b.
12
Calculate the remainder when (-4)/((-40)/(-245))*(-8)/14 is divided by 7.
0
Let c(t) = -t + 6. Let i(q) = q**3 - q**2 + 1. Calculate the remainder when i(2) is divided by c(3).
2
Suppose 9*d = 8*d + 19. Calculate the remainder when d is divided by 10.
9
Let a(t) = t**3 + 6*t**2 + 4*t + 2. Suppose 0 = 5*j - 30 - 105. What is the remainder when j is divided by a(-5)?
6
Let p(c) = c**3 + 7*c**2 - 22*c - 6. Calculate the remainder when p(-9) is divided by 11.
8
Let q be (-1 - 12/(-9))*21. Let i = q - 5. What is the remainder when i is divided by 2?
0
Let h be ((-30)/(-4))/((-6)/(-8)). Let i = h + -5. Suppose -2*f + 48 = -4*y, i*y - 70 = 6*f - 10*f. Calculate the remainder when 39 is divided by f.
19
Suppose -w = w, 5*w = 5*a - 160. What is the remainder when 61 is divided by a?
29
Suppose 259 - 724 = -5*u. Calculate the remainder when u is divided by 24.
21
Suppose -3 = 2*u - u. What is the remainder when 17 is divided by (1/u)/((-1)/27)?
8
Suppose 3*m = -4*m + 217. What is the remainder when m is divided by 11?
9
Let h(n) be the second derivative of n**3/3 + n**2/2 + 3*n. Let u(s) = 2*s**2 - 5*s + 1. Calculate the remainder when u(6) is divided by h(7).
13
Let h = -3 + 3. Let j = -4 + h. Let q = j - -11. Calculate the remainder when q is divided by 3.
1
Let h(b) = b**3 - 7*b**2 - b + 1. Let j be h(5). What is the remainder when 36 is divided by 1 + (-11)/(33/j)?
17
Let c be ((-4)/6)/(8/(-60)). Suppose -c*j + 0*j = -40. What is the remainder when 14 is divided by j?
6
Let f = 61 - 51. Suppose 2*i + w = -8, -4*i - 6 = 3*w - 6*w. What is the remainder when 6/i*38/(-4) is divided by f?
9
Let b be ((-10)/(-8))/((-2)/8). What is the remainder when ((-3)/(-6))/(b/(-470)) is divided by 12?
11
Let s(b) = -28 + 24 - 10*b**2 + 4*b**3 - 5*b**3 - 9 + 9*b. Calculate the remainder when s(-11) is divided by 5.
4
Suppose -4*q = -q. Suppose q*o = 4*o - 16. What is the remainder when o is divided by 2?
0
Calculate the remainder when (-2)/6 - 2800/(-21) is divided by 34.
31
Let z(b) = -b**2 + 4*b - 2. Let i be z(3). Let h(r) = 23*r**3 - 2*r + 1. Let y = -9 - -17. Calculate the remainder when h(i) is divided by y.
6
Suppose 6*n - n = 50. What is the remainder when 36 is divided by n?
6
Let i = -28 + 11. Let w(o) = 15*o + 1. Let z be w(3). Let l = i + z. What is the remainder when l is divided by 15?
14
Let g be (36/42)/(3/14). Calculate the remainder when g/(-30) - (-462)/90 is divided by 2.
1
Let o = 7 - 3. What is the remainder when o is divided by 3?
1
Let q be (-1 + -7)/(2*-1). Let f be (-3)/(6/q)*4. Let r = -4 - f. Calculate the remainder when r is divided by 2.
0
Let g(v) be the third derivative of v**4/8 - v**3/6 - v**2. What is the remainder when 50 is divided by g(6)?
16
Let c = -4 + 11. Let k = 1 - -4. Suppose -k*h = -11 - 54. What is the remainder when h is divided by c?
6
Let o = -116 - -166. Calculate the remainder when o is divided by 13.
11
Suppose -15 = -3*p - 2*p. Let t = -1 - -5. Let b = t + p. What is the remainder when 19 is divided by b?
5
Let r(w) = 2*w + 13. Let d be r(-6). Suppose -3*u - d + 19 = 0. Calculate the remainder when 29 is divided by u.
5
Let v = -6 + 43. Let r = v + -18. Suppose r = 3*n - 8. Calculate the remainder when 16 is divided by n.
7
Let n be ((-1)/(-3))/((-3)/(-45)). Suppose -5*a = 3*h - 2*h - 105, -5*a + 105 = -n*h. Calculate the remainder when a is divided by 11.
10
Suppose 0 = -0*b + 2*b - 4. Suppose 0*x + 4*v + 1 = -x, -11 = -3*x + b*v. What is the remainder when (3 - x - 3) + 44 is divided by 11?
8
Suppose 5*x - 277 = 158. Let v = 42 + -20. Calculate the remainder when x is divided by v.
21
Suppose 0 = -k + 1, 11 + 12 = -2*m - 3*k. Calculate the remainder when m/(((-6)/4)/3) is divided by 14.
12
Let u(x) = -x**3 - 6*x**2 + 5*x + 7. Let i = -2 - -4. What is the remainder when u(-7) is divided by i/(-4)*(-25 + 3)?
10
Let m(t) = t**2 - 5*t + 5. Let s(x) = x**3 + 9*x**2 - 2*x - 12. Calculate the remainder when m(6) is divided by s(-9).
5
Suppose 8*z + 85 = 13*z. What is the remainder when z is divided by 11?
6
Let p = -13 - -27. What is the remainder when 26 is divided by p?
12
What is the remainder when -2*(1 - -46)*(-12)/24 is divided by 13?
8
Let f(y) = -y**3 + 7*y**2 + 5*y - 12. Calculate the remainder when 43 is divided by f(7).
20
Suppose 3*i - 2*d - 76 = 0, 3*i + 3*d = 4*i - 23. What is the remainder when 95 is divided by i?
17
Suppose -3*h = -0*h + 5*a - 47, 2*h + 4*a = 34. What is the remainder when 42 is divided by h?
6
Let n(g) = -2 - 3*g + 2. Suppose -3*r - 5*i + 6 = -24, i + 48 = 3*r. What is the remainder when r is divided by n(-2)?
3
Suppose 2*h - 77 = -0*n - 3*n, -h - 2*n = -41. Let z(l) = -3*l - 7. What is the remainder when h is divided by z(-6)?
9
Let d(s) = 23*s - 10. What is the remainder when d(4) is divided by 42?
40
Let u = -145 - -93. Let x = -37 - u. Suppose a + 220 = 6*a. What is the remainder when a is divided by x?
14
Suppose -3*a - 20 = -8*a. Let q = a - 7. Let x = q + 7. What is the remainder when 7 is divided by x?
3
Suppose 0*v - 4*v = 5*h - 33, -2*h = -5*v - 33. Let b = 37 - 16. Suppose -3*f + 2*w = -6*f + 39, -2*w = -f + b. What is the remainder when f is divided by h?
6
Calculate the remainder when 27 is divided by -2 + (-20)/(-9) + (-210)/(-27).
3
Let h(m) = -m**3 + 2*m**2 + 3*m + 3. Calculate the remainder when h(-2) is divided by 10/4*2/1.
3
Suppose 2*a + 3*a + 15 = 0, -2*t = -3*a - 13. Suppose -t*w - w = -5*u - 15, -3*u = -3*w + 15. Calculate the remainder when w is divided by 3.
2
Let s be (-28)/8*4/(-7). Suppose 5*t - s*z - z = 57, 2*z = 2. What is the remainder when 44 is divided by t?
8
Let l = -1 - -1. Suppose -w - 5*s + 4 = l, 0 = w - 3*s - s - 31. Calculate the remainder when 37 is divided by w.
18
Suppose 0*v = 2*v + 32. Let n = 28 + v. Suppose -3*b + 35 = w, 0 = -2*w - 5*b - 47 + 113. Calculate the remainder when w is divided by n.
11
Let b = -70 + 79. Calculate the remainder when 31 is divided by b.
4
Let t = 36 - 3. What is the remainder when 161 is divided by t?
29
Suppose 0*y - y = 0. Suppose 5*m - 4 - 66 = y. What is the remainder when 41 is divided by m?
13
Suppose m - 36 = -5*c - 6, -4*c = -m - 6. Calculate the remainder when 18 is divided by m.
8
Calculate the remainder when 53 is divided by ((-10)/(-4))/(5/30).
8
Let j(b) = -b**3 - 2*b**2 + 1. Let u be j(-1). Suppose u = -3*l - 15 + 138. Calculate the remainder when l is divided by 22.
19
Suppose -2*u = 