- m**2 + 1. Let u be x(1). Suppose -108 = -u*v - v. Suppose 4*t = t + v. What is the remainder when 22 is divided by t?
10
Suppose -a + 70 = a + c, c = 3*a - 115. Suppose -2*u = -4*s - a - 9, 3*u = s + 54. What is the remainder when u is divided by 8/(-20) - 32/(-5)?
5
Let x(t) = t**2 - 4*t - 5. Suppose 2*y + 12 = -3*d - y, 3*y = 2*d + 33. Let c be x(d). Calculate the remainder when 26 is divided by (c/(-12))/(2/(-3)).
12
Suppose -4*w + 26 = -426. What is the remainder when w is divided by 29?
26
Let y be (1 + 6/(-15))*5. Suppose 2*m + x = 7*m - 39, -y*m = -5*x - 41. Calculate the remainder when m is divided by (-5)/2*12/(-10).
1
Suppose -14*r + 19*r - 95 = 0. Calculate the remainder when r is divided by 4.
3
Suppose 2 = -t - 2*n, 2*t + 0*t - 3*n = 3. Suppose t*h - 4*h + 16 = 0. What is the remainder when 4 is divided by h?
0
What is the remainder when 16 is divided by (-118)/(-14) + -8*1/(-14)?
7
Suppose -4*u = -53 - 47. Calculate the remainder when 71 is divided by u.
21
Suppose 32 = l + 7*l. Suppose 162 - 12 = 5*s. Suppose 7*b - s = 2*b. Calculate the remainder when b is divided by l.
2
Let t = -109 + 185. What is the remainder when t is divided by 20?
16
Suppose -4*u = -5*z - 15 - 14, -3*u - 5*z + 13 = 0. What is the remainder when u is divided by (-12)/(-3)*(-2)/(-4)?
0
Suppose -b + r + 2*r = -5, -2*r = -4*b + 20. Calculate the remainder when 13 is divided by b.
3
Suppose r = 6*r - 20. What is the remainder when 24/5*60/9 is divided by 9 + r - 1*2?
10
Suppose -5*l + 7 + 3 = -3*i, i = 0. Let p be (6/8)/(-3) - 2/(-8). Calculate the remainder when 4/l - (p - 22) is divided by 9.
6
Let h = 29 + 5. Calculate the remainder when h is divided by 9.
7
Let p(d) = -d**3 + 7*d**2 - 6*d + 7. Let l(m) = -m + 6. Let a be l(0). What is the remainder when 25 is divided by p(a)?
4
Let l = 78 - 13. Calculate the remainder when l is divided by 18.
11
What is the remainder when (1 + -2)*(-65 + -2) is divided by 35?
32
Let h(g) = -1 + 1 + 2*g - 1 + 2*g**3 - 2*g**2. What is the remainder when h(2) is divided by ((-2)/2 - -3) + 4?
5
Suppose 4*b = t - 2*t, 3*b = -5*t + 85. What is the remainder when t is divided by 6?
2
Suppose 4*w = -4*q + 84, 2*q = 3*w - 4*w + 42. What is the remainder when 59 is divided by q?
17
Suppose h = -3 + 8. Suppose h*y + 0*n = 4*n + 6, -n = 4. Let r = y + 9. What is the remainder when r is divided by 3?
1
Let b(y) = -2*y**2 + 42*y + 17. What is the remainder when 169 is divided by b(20)?
55
What is the remainder when -201*(-6)/9*1 is divided by 34?
32
Let i be (3/(-4))/((-2)/8). Suppose i*j - 4*j - 1 = 0, -2*j = -3*s + 8. Calculate the remainder when 3 is divided by s.
1
What is the remainder when ((-246)/(-9))/((-1)/(-3)) is divided by 42?
40
Suppose 0 = -3*o - 0*o + 57. Let i be 3/18 + o/(-6). Let g = 5 + i. Calculate the remainder when g is divided by 1.
0
Suppose 1 = k - 5. Suppose -2*o - k = -0*o. Let x = 8 + o. What is the remainder when 14 is divided by x?
4
Suppose 3*a - 2*h - 2 = 0, 0 = 2*a + h - 5*h - 12. What is the remainder when 22 is divided by (-402)/(-33) + a/11?
10
Suppose s + s + 10 = 0. Let d = -5 - s. Suppose d = 2*h - 51 - 5. What is the remainder when h is divided by 10?
8
Let o be 2*-1*6/(-4). Suppose -50 = -2*c - o*c. What is the remainder when 27 is divided by c?
7
Let t(i) = -5*i - 60. Calculate the remainder when 43 is divided by t(-15).
13
Let k(a) be the second derivative of a**5/10 - a**4/3 + 2*a**3/3 - a**2/2 - a. What is the remainder when k(3) is divided by 10?
9
Let w(d) = d**3 + 11*d**2 + 6*d - 20. Let t(c) = 4*c - 1. Calculate the remainder when w(-10) is divided by t(2).
6
Suppose 0*p = -3*p - 15, -j = 4*p + 69. Let l = 39 - j. What is the remainder when l is divided by 30?
28
Let r = 78 - 52. Suppose -2*b + 38 = -164. Calculate the remainder when b is divided by r.
23
Suppose -2*f + 43 = -13. Calculate the remainder when f is divided by 10.
8
Suppose 5*s - 5*z - 55 = 0, 5*s = 2*z + 28 + 42. What is the remainder when s is divided by (-1)/(-3 + 96/33)?
5
Let i = 0 - -1. Let n(b) = -b**3 - 4*b**2 + 5*b + 1. Calculate the remainder when i is divided by n(-5).
0
Suppose -7*x = -2*x - 30. Let a = -19 + 29. Calculate the remainder when a is divided by x.
4
Suppose -3*d - 15 = -0. Calculate the remainder when 19 is divided by (6 - 3 - d) + 3.
8
Let f(h) = 12*h + 12. Let b be f(-5). Calculate the remainder when 95 is divided by b*((-4)/8)/1.
23
Let o(d) = -d**3 - 3*d**2 + 4*d + 1. Let y be o(-4). Let m = 8 - y. Suppose 0*x - 14 = -4*s + x, 2*s - 3*x = 12. Calculate the remainder when m is divided by s.
1
Suppose 0 = -3*k - 2*n + 22, 3*n + 5 = k - 6. Let f(h) = h + 4. Let r be f(k). Calculate the remainder when 23 is divided by (16/r)/((-3)/(-27)).
11
Let l(j) = j + 1. Let k be l(6). Suppose -3*h - k = -4*h. Let b(u) = 2*u**2 + 4*u + 3. What is the remainder when h is divided by b(-2)?
1
Suppose 0*t + 54 = 2*t. Let h = 5 + 2. What is the remainder when t is divided by h?
6
Suppose 6*w = 2*w + 36. What is the remainder when w is divided by ((-6)/1)/((-3)/3)?
3
Suppose 2*q + 40 = 3*a - 2*q, 8 = 3*a + 4*q. Suppose 5*t - 19 = 4*z, -t + 2*z = -a + 3. Suppose 53 = t*w - 40. Calculate the remainder when w is divided by 11.
9
Suppose 4 = -5*u + u. Let o(y) = -33*y**3 - 2*y**2 + 1. What is the remainder when o(u) is divided by 17?
15
Let b(s) = 3*s. Calculate the remainder when 71 is divided by b(6).
17
Let o = 77 - 51. Suppose 3*p + 101 = -2*p - 3*x, p - 2*x = -28. Let u = -8 - p. What is the remainder when o is divided by u?
12
Suppose -j = -6 + 2. Suppose 0 = 5*b - 2*y - 59, 4*y + y = -4*b + 67. Let r = b - 7. What is the remainder when r is divided by j?
2
Suppose 5 = -3*w + 32. Suppose 2*b + 104 = 4*f, 3*f = 5*b + 33 + 45. What is the remainder when f is divided by w?
8
Let y(f) = -f - 3. Calculate the remainder when 11 is divided by y(-9).
5
Suppose -78*z + 82*z - 356 = 0. What is the remainder when z is divided by 45?
44
Suppose -9*o + 4*o + 4*n = 446, -5*o = -2*n + 448. What is the remainder when (0 - 1)/(2/(-46)) is divided by 4/(-22) + o/(-11)?
7
Let c(n) = -n**2 + 9*n - 5. Calculate the remainder when -1 + 40 - (4 - 3) is divided by c(3).
12
Let y be ((-2)/(-6))/(4/(-24)). Let o be (4 + -1)/((-3)/2). What is the remainder when y - o*1*3 is divided by 2?
0
Suppose 83 = 6*z - 151. What is the remainder when z is divided by 14?
11
Let s(l) = 3*l**2 - 2*l - 3. What is the remainder when 21 is divided by s(2)?
1
Suppose 3*p - 2 - 28 = 5*g, -2*p - 5*g - 5 = 0. Calculate the remainder when 14 is divided by p.
4
Suppose -o + 10 + 5 = 0. Suppose 0 = -4*n + 12, 4 = -3*c + 2*n - 2. What is the remainder when (c + -1)/((-5)/215) is divided by o?
13
Let o(f) = -13*f. Let v(t) = 14*t - 1. Let y(u) = -3*o(u) - 2*v(u). What is the remainder when 24 is divided by y(1)?
11
Suppose w = -2*w + 282. Suppose -i = 0, -5*z + 221 - 551 = 3*i. Let k = w + z. What is the remainder when k is divided by 15?
13
Let k(v) = -v**3 - 5*v**2 - 2*v + 4. Suppose -4*a + 22 - 2 = 0. What is the remainder when k(-5) is divided by a?
4
Suppose 6*b - 3*b = 24. Suppose 3*r - 55 = 14. Calculate the remainder when r is divided by b.
7
Suppose 0 = 2*m - 0*m - c - 23, 3 = -c. Suppose 0*f = -f + 29. Calculate the remainder when f is divided by m.
9
Suppose -2*m - 3*m + 10 = 0. Suppose -m*g = 3*g + 30. Calculate the remainder when 7 is divided by ((-12)/(-10))/(g/(-20)).
3
Calculate the remainder when (-15 - -1)*(-28)/8 is divided by (102/(-30))/((-1)/5).
15
Let o = -5 - -10. Suppose 2*w + 6*y = 4*y + 40, o*y = -3*w + 70. Suppose 2*b + 3*b = w. What is the remainder when 5 is divided by b?
2
Suppose -2*d = d - 12. Suppose 39 = 2*j - 41. Calculate the remainder when j is divided by 3*(168/9)/d.
12
Suppose -4*p = 4*u - 52, -3*p - p = 2*u - 52. What is the remainder when 50/(0 + 2) + (-13 - -12) is divided by p?
11
Suppose -2*c + u + 4 = 3, 6 = -3*c + 3*u. Suppose -q - c*t = -11, -2*t + 6 = -0*t. Suppose 0 = -j - q*j + 24. Calculate the remainder when j is divided by 3.
2
Let r(z) = -z**3 + 7*z**2 + 5*z + 5. Let q be r(5). Suppose -5*j - q = -5*b, -4*b + j - 7 = -77. Calculate the remainder when b is divided by 5.
3
Suppose 5*m - 24 = -2*k, 3*k - 20 = -5*m + 6. Suppose 0*i - 2*n - 10 = -2*i, i + 10 = -m*n. What is the remainder when 21 + i/1 + -2 is d