. Let g = m + -9. Calculate the remainder when g is divided by 12.
9
Suppose -4*r + 51 = 7. Suppose 0 = -b - 2*b + 6. What is the remainder when r is divided by 4/(-8) - (-13)/b?
5
Suppose 8 = -3*p + 53. Suppose 2*b + 5*t = -21, -t = 4*b - 0 + p. Calculate the remainder when (-61)/(-1 + 3 + b) is divided by 21.
19
Let m = 10 + -5. Suppose m*s + 2*z - 5 = 0, z = -4*s - 2*z - 3. Suppose -s*f = -20 - 31. What is the remainder when f is divided by 6?
5
Suppose -3*l = -2*j - 17, 2*l - 5 = -4*j + 1. Suppose l*u - 26 = -d, d - u = -3*u + 20. What is the remainder when d is divided by 9?
7
Let m be ((-6)/(-10))/((-2)/(-10)). Suppose -6*u = 2*r - m*u + 67, -5*r - 196 = -2*u. Let g = -13 - r. Calculate the remainder when g is divided by 13.
12
Let c(v) = -v**3 + 14*v**2 + v - 11. Let o(h) = 2*h - 6. What is the remainder when c(14) is divided by o(4)?
1
Let l = 16 - 6. Let o = 24 + -5. What is the remainder when o is divided by l?
9
Suppose -14*j + 12*j = -36. What is the remainder when 53 is divided by j?
17
Let k(h) = -h + 4. Let j = -14 - -8. What is the remainder when k(j) is divided by 4?
2
Suppose -50*w = -53*w + 108. What is the remainder when 140 is divided by w?
32
Let j(b) = 4 + b + 2*b**2 - 2*b**2 - b**2. Let h be j(0). Suppose -6 = -h*f + f. What is the remainder when f is divided by 1?
0
Let f(x) = -x**3 + 5*x**2 - 2*x + 1. Let l be (-6)/(-2) + 5/(-5). Calculate the remainder when 16 is divided by f(l).
7
Suppose 3*r + i = 2*i + 26, 5*r = i + 40. What is the remainder when r is divided by 1 + 3/(-3)*-2?
1
Let z = 251 - 167. Suppose -121 - 39 = -5*n. Let r = z - n. Calculate the remainder when r is divided by 18.
16
Suppose -362 = -3*j + d, 5*j - 5*d + 0*d = 610. Suppose -4*k + 4*f + j = 0, -2*k = -0*k - 4*f - 66. What is the remainder when 107 is divided by k?
26
Suppose -4*m = -0*m - 52. What is the remainder when 49 is divided by m?
10
Let t(w) = 14 - 2*w + 9*w - 5*w. Calculate the remainder when (1 + -1 - 0) + 5 is divided by t(-6).
1
Let h(s) = -2*s**3 - 3*s**2 - 3*s - 2. Suppose 4*w + 4*j + 4 = -j, 0 = w + j + 2. Let c = -8 - w. Calculate the remainder when 15 is divided by h(c).
7
What is the remainder when ((-3)/(-6))/(-1 - 71/(-70)) is divided by 10?
5
What is the remainder when 21 is divided by (-2)/1 - (0 - (13 - 3))?
5
Let r(q) = 11*q**2 + 2*q + 1. What is the remainder when 47 is divided by r(-1)?
7
Let l be (-6)/4 - (-380)/(-8). Let x = l + 70. Calculate the remainder when x is divided by 11.
10
Let h(q) = q**2 + 8*q + 5. Let y be h(-5). Let c = y - -12. What is the remainder when 3 is divided by c?
1
What is the remainder when -3 + 4 + 1 + 60 is divided by 69/3 - (-4)/(-2)?
20
Let b be (9/6 - 2)*0. Suppose b = -k - 2*z + 12, 1 = -z + 3. What is the remainder when 15 is divided by k?
7
What is the remainder when 233/7 - 8/28 is divided by 9?
6
Calculate the remainder when 85 is divided by (2 - -2)/(-4) + 30.
27
Let g = -27 - -43. Let a be -4 + 4 - -5*1. Suppose 0 = a*c - 13 - 17. Calculate the remainder when g is divided by c.
4
Suppose 2*v + v = 9. Suppose -a - 30 = -v*a. Calculate the remainder when 27 is divided by a.
12
Suppose 7*q = 92 - 29. Suppose 0 = 3*l + 5*u - 60, l + 2*u - 34 = 5*u. What is the remainder when l is divided by q?
7
Let u(x) = -x**3 + 4*x**2 - 2*x + 4. Let g be (-6)/(-8)*(0 + 4). What is the remainder when (16/10)/(2/25) is divided by u(g)?
6
Let d = -4 + 41. Calculate the remainder when d is divided by (-30)/(18/(-3)) - -3.
5
Let d be -2*((-9)/(-6) + -3). Let x(f) = -f - 2. Let s be x(4). What is the remainder when (s/5)/(d/(-15)) is divided by 4?
2
Let b be 22/4*(19 - 17). Let f = b + -7. Calculate the remainder when 5 is divided by f.
1
Let f be ((-4)/(-5))/(1/5). Calculate the remainder when 13 is divided by ((-10)/f)/((-3)/6).
3
Let c(a) = -a**3 + 8*a**2 - 9*a. What is the remainder when c(4) is divided by 5?
3
Let q(d) = d**3 - 3*d + 1. Let l be q(2). Suppose 0 = -a - y + 3, a = -5*y + l - 0. Suppose -a*i + 7*i - 140 = 0. What is the remainder when i is divided by 18?
17
Let c = -9 - -9. Suppose c = 5*l - 17 - 3. Calculate the remainder when 10 is divided by l.
2
Let s = 42 - 22. What is the remainder when s is divided by 7?
6
Let b(z) = -21*z - 2. Calculate the remainder when b(-3) is divided by 16.
13
Let s(q) = -q - 6. Let v be s(0). Let w = 24 + -11. Calculate the remainder when 6/(5/v - -1) is divided by w.
10
Suppose 5*k = -5*m + 50, -k = -0*m + 4*m - 43. Calculate the remainder when 42 is divided by m.
9
Suppose -17*k + 12*k + 70 = 0. What is the remainder when 23 is divided by k?
9
Suppose 3*v = 2 + 10. Suppose 6*q = v*q + 30. Suppose -5*l + 5 = -q. What is the remainder when 10 is divided by l?
2
Suppose -47 = -s - 12. Suppose 6*l - s = 2*l - 3*y, -3*l - 3*y = -24. Calculate the remainder when l is divided by 6.
5
Suppose -q + 5*q - 24 = 0. Calculate the remainder when 29 is divided by q.
5
Let m(w) = -8*w - 2. Let k(c) = 3*c + 1. Let t(u) = -7*k(u) - 2*m(u). Calculate the remainder when 64 is divided by t(-5).
20
Let n = -49 + 4. Let a = n - -74. What is the remainder when a is divided by 8 + 1*(2 - 0)?
9
Suppose -r + 2*r = 45. Let q = 63 - r. Calculate the remainder when (30/5)/(-12)*-106 is divided by q.
17
Let t(r) = -2*r**2 + 23*r + 6. What is the remainder when t(7) is divided by 9?
6
Let p(a) = -a**3 + 34. Suppose 2*t + 4 = -d, 5*d - 4*t = -0*d + 22. Suppose 0 = -d*c - 2*c. Calculate the remainder when p(c) is divided by 18.
16
Let c = 31 + 35. Suppose c = 3*z - z. What is the remainder when z is divided by 9?
6
Let x = -2 + 0. Let j(z) = z**2 - 4*z - 4. Let k be j(4). What is the remainder when 37 is divided by (52/8)/(x/k)?
11
Let v(k) = k**3 - k**2 - 5*k + 3. Suppose 0*a + 4 = 2*a. Calculate the remainder when v(3) is divided by a.
0
Suppose -3*d - 4 + 85 = 0. Calculate the remainder when 105 is divided by d.
24
Let s(r) = -r**3 + 5*r**2 + 2*r - 4. Let f(z) = z**3 - 9*z**2 + z + 12. Let p = 23 + -14. What is the remainder when f(p) is divided by s(5)?
3
What is the remainder when 22 is divided by -13*1*(-4 - -3)?
9
Let m = 4 - -1. Let o = 2 - 5. What is the remainder when m is divided by (-7)/o - 6/(-9)?
2
Let o = -4 + 14. Let x(s) = -6*s + 7. What is the remainder when x(-5) is divided by o?
7
Suppose 0 = u - 0*u - 30. Let y be (-2)/(-10) + 414/u. Suppose -5*g = -3*g - y. Calculate the remainder when g is divided by 5.
2
Suppose r - 2*c = -8, 3*r + 2*c - 2 = 7*r. Suppose 100 = r*d + 3*d. What is the remainder when d is divided by 7?
6
Suppose -4*a - a = 2*q - 46, 0 = 3*q + 4*a - 62. Calculate the remainder when 33 is divided by q.
15
Let s = 115 - 67. Let c = -25 + 50. Calculate the remainder when s is divided by c.
23
Let h(r) = -51*r - 8. Calculate the remainder when h(-4) is divided by 9.
7
Let k(t) = 11*t + 2. Let l(j) = j. Let o be l(4). Calculate the remainder when k(o) is divided by (-1)/(-2) + 93/6.
14
Suppose 2*g + 0*k - 3*k - 10 = 0, 2*g = 4*k + 10. Calculate the remainder when 14 is divided by g.
4
Suppose -4*r + 14 = -z - z, 3*z - 4*r = -13. What is the remainder when 2 is divided by z?
0
Let m = -8 + 39. Calculate the remainder when m is divided by 16.
15
Suppose -101 = 4*l + 5*y, 38 = -3*l - 2*y - 29. Let w = l + 73. Calculate the remainder when w is divided by 14.
12
Suppose 2*n - 1 = 7. Let u(o) = 2*o - 4. Let v be u(-8). Let k = n - v. Calculate the remainder when k is divided by 13.
11
Let l = 31 - 17. Suppose -4*x - 2*m = -l, 2*x - 4*m = -2*x + 20. Suppose 5*n + 2 = -3, -x*n + 21 = y. Calculate the remainder when y is divided by 13.
12
Suppose 3*i + 231 = 3*n + i, 0 = n + i - 77. Calculate the remainder when n is divided by 20.
17
Suppose -n = -3*n + 4*l + 60, -3*n + l = -75. Calculate the remainder when 70 is divided by n.
22
Let b = 149 - 59. Let l = 168 - b. Calculate the remainder when l is divided by 20.
18
Let k = 22 - 0. What is the remainder when 65 is divided by k?
21
Let v(b) = -b**2 - 4*b + 2. Let u be v(-4). Suppose 0 = -u*r - r + 33. Calculate the remainder when r is divided by 4.
3
Suppose 13*w = 12*w + 23. What is the remainder when 89 is divided by w?
20
Suppose -2*j - 81 = -k, k - 22 = -5*j + 52. Let n be -21 - 2 - (0 + -3). Let h = n + k. Calculate the remainder when h is divided by 20.
19
Let u be (0 + 0 - -4) + -1. Suppose -4*x = -2*x