3
Let d(u) = u**3 + 5*u**2 - 7*u - 1. What is the remainder when 16 is divided by d(-6)?
1
Let a = -36 + 51. Calculate the remainder when 6/(-21) + 606/14 is divided by a.
13
Suppose -9*r = -5*r. Suppose r = -4*o - 4, o - 2 = -2*y - o. Calculate the remainder when y is divided by 1.
0
Suppose -2*z = -6*z + 20. Calculate the remainder when 13 is divided by z.
3
Suppose -2*l + 27 = -3*g, -1 = l + 5*g + 5. Suppose 0 = 2*j + q - 8 - 18, 5*j = 4*q + 78. What is the remainder when j is divided by l?
5
Suppose 0 = 2*r, 0*f + 18 = 2*f - 5*r. Suppose -4*h = -h - f. Suppose -2*s + h*z = s - 33, -3*s + 29 = -4*z. What is the remainder when 43 is divided by s?
13
Let f be (3/9)/(3/144). Suppose -2*g - o + 23 = 0, -2*o + f = g + 3*o. What is the remainder when 42 is divided by g?
9
Suppose -5 = -p + 4. Calculate the remainder when p is divided by 6.
3
Let g(t) = -t + 12. What is the remainder when 92 is divided by g(-12)?
20
Suppose -t + 0*t = -18. Suppose 8*j - 3*j + 12 = 4*m, 5*j - m + 18 = 0. Calculate the remainder when (26/j)/(1/(-8)) is divided by t.
16
Suppose 2*h - 11 - 15 = -r, -5*h - 54 = -r. Let q = -55 - r. Let d = -49 - q. Calculate the remainder when d is divided by 14.
12
Let r = 10 + -6. Suppose -r*f + 3 = -5. Let d = 5 + -1. What is the remainder when d is divided by f?
0
Suppose 5*u + 2*d = -35, -4*d - 4 = -u + 11. What is the remainder when 43 is divided by (15/2)/(u/(-10))?
13
Suppose 5*o - d = 2*o + 104, o + d = 32. What is the remainder when o is divided by 12?
10
Let n(z) = 4 - 3 + 1 - 3*z + 0*z. What is the remainder when 21 is divided by n(-3)?
10
Suppose -6 - 3 = -h. Suppose 2*j = 11 + h. Calculate the remainder when 28 is divided by j.
8
Calculate the remainder when 55/10 - (-1)/(-2) is divided by (0 - 2/(-4))*6.
2
Let m(k) = 2*k**3 + 2*k**2 - 4*k + 4. Let s = 0 - -2. Suppose -s*o + 10 = -68. What is the remainder when o is divided by m(2)?
19
Let l = -21 - -39. What is the remainder when 35 is divided by l?
17
Let h = 41 + 25. Suppose -42 = -2*p + 2*u, 2 - 57 = -3*p + u. What is the remainder when h is divided by p?
15
Let n be 6/(-18) - (-3724)/(-6). Let x be 2*(n/(-6))/3. Suppose 11 = 5*b - x. What is the remainder when 47 is divided by b?
15
Let m(v) = 2*v**3 - 2*v**2 + 3*v - 1. What is the remainder when m(2) is divided by 8?
5
Suppose 0 = -6*q + 2*q + 3*w + 12, w = 0. Suppose 192 = i + q*i. Calculate the remainder when i is divided by 17.
14
Suppose 5*s - 3 = 122. Calculate the remainder when 73 is divided by s.
23
Suppose 3*y = y + 6. Let u = -43 + 59. What is the remainder when u is divided by y?
1
Suppose 4*b + 5*u = 7, -5*b = -3*b + u - 11. Suppose -b*z = -4*z - 236. Calculate the remainder when z is divided by 20.
19
Suppose -95 = -6*l + l. Suppose -418 = -10*a + 332. What is the remainder when a is divided by l?
18
Let i(a) = a**3 + 9. Let m be i(0). Let w(l) = -l**3 + 8*l**2 + 10*l - 5. Suppose 5*s - 23 = 12. Calculate the remainder when s is divided by w(m).
3
Let a(z) = z**3 + 5*z**2 - 7*z - 3. Let n be a(-6). Let t(y) = 3*y. Calculate the remainder when 26 is divided by t(n).
8
Suppose -163 - 110 = -13*n. What is the remainder when 61 is divided by n?
19
Let t = 6 + 0. Let j(z) = 2*z**3 + z**2 - 3*z + 3. Let a be j(2). Let d = a - t. Calculate the remainder when 20 is divided by d.
9
Let y(g) = 2*g**2 + g - 1. Let x(b) = -b**2 + b - 1. Let r(c) = -6*x(c) - y(c). What is the remainder when r(4) is divided by 22?
21
Suppose 5*l - 3 = 17. Calculate the remainder when 20 is divided by l.
0
Let o(u) be the second derivative of 31*u**4/12 - u**2/2 - 3*u. Let q be o(-1). What is the remainder when 39 is divided by (q/8)/((-6)/(-32))?
19
Let t be (-19 + 4)/(2/(-4)). Suppose t = 2*z - 0. Calculate the remainder when z is divided by 9.
6
Let n(m) = 3*m + 1. Suppose l = -l - 2*o + 24, -5*o - 20 = -3*l. Let j be l/(-2)*4/(-5). What is the remainder when 25 is divided by n(j)?
12
Suppose 2*x + 3 = 3*x. Let j(a) = 6*a + 28. Calculate the remainder when j(-4) is divided by x.
1
Let t(z) = -4*z**3 - 5*z**2 + 4*z + 4. Let u(f) = 5*f**3 + 5*f**2 - 4*f - 4. Let m(g) = 6*t(g) + 5*u(g). What is the remainder when m(4) is divided by 2?
0
Let m(w) = -2*w**3 + 19. Calculate the remainder when m(0) is divided by 13.
6
Let n = -14 - -38. Suppose -3*t = -n - 45. What is the remainder when 90 is divided by t?
21
Suppose -16 = -d - 4*n, 3*d - 4*n + 10 = 42. What is the remainder when 22 is divided by d?
10
Let a = 8 - 3. Suppose 4*o - 355 = -5*r, -a*r + 134 = o - 221. Let q = r - 10. Calculate the remainder when q is divided by 16.
13
Let i(p) = p**2 + 9*p - 6. Calculate the remainder when i(7) is divided by 56.
50
Suppose 6*p = 5*p + 60. What is the remainder when p is divided by 32?
28
Suppose 2*d + 24 = 3*r, -3*r + 19 = -2*r + 3*d. Let p be 12/(-1 - (-9)/7). Let l = p - 14. What is the remainder when l is divided by r?
8
Suppose 7*s - 3 = 6*s, 5*i + 5*s - 140 = 0. What is the remainder when 173 is divided by i?
23
Let c = -231 + 325. Let x = c + -62. Calculate the remainder when x is divided by 1/4 - 129/(-12).
10
Let l be 1/(-2) + 1/(-2). Calculate the remainder when 26 is divided by (-2 + -9 + 2)/l.
8
Suppose 2*k + 3*k = 200. Suppose -k = -4*p - 3*h, p - 40 = -3*p + 5*h. Calculate the remainder when (46/10 - -1)*5 is divided by p.
8
Let r(c) = c**2 + 16*c + 56. What is the remainder when r(-23) is divided by 44?
41
Let d = 54 + 36. Calculate the remainder when d is divided by 23.
21
Let c be (0 - -1)*(-10)/(-5). Let r be -1*(c - 0) + 3. Calculate the remainder when 4 is divided by r + (1 - (-2 + 1)).
1
What is the remainder when 10 is divided by 0 + -8*(-2)/4?
2
Suppose 4*j + 4 + 0 = 0. Let g = -21 + 23. Calculate the remainder when (3 + j)*6/4 is divided by g.
1
Let j = -196 + 278. Calculate the remainder when j is divided by 25.
7
Suppose 2*p + 210 = 5*p. Calculate the remainder when p is divided by 6.
4
What is the remainder when 12 is divided by ((-39)/6 - -3)*-2?
5
Let y(a) = 2*a**2 - 220*a + 220*a + 5. Calculate the remainder when y(3) is divided by 13.
10
Suppose 2 = z - 3*f - 37, -z = 3*f - 9. Let o be 1/(((-9)/12)/3). What is the remainder when -5 + 78 + 1 + o is divided by z?
22
Let i = 74 - 50. Let p = 39 + -26. What is the remainder when i is divided by p?
11
Suppose -3*r - 4*b + 16 = -24, -12 = r - 5*b. What is the remainder when 30 is divided by r?
6
Let z = -116 + 197. Calculate the remainder when z is divided by (-2 - -21) + (-2 - -4).
18
Suppose -4*u - 32 = -4*n, -2*u + 0 = 5*n - 19. What is the remainder when (5 + -7 - -3)/((-1)/(-13)) is divided by n?
3
Suppose -g = -3*g + 6. What is the remainder when g is divided by 1?
0
Suppose 48 = -0*p + 3*p. Let z = -156 - -165. What is the remainder when p is divided by z?
7
Let r(m) = -4 + 3*m + 0*m + 3. Suppose -5*h = 4*b - 56, h - 13 = -b - 0*h. What is the remainder when r(6) is divided by b?
8
What is the remainder when (-10)/15 + (-100)/(-6) is divided by 10?
6
Let t = 48 + -46. Calculate the remainder when 11 is divided by t.
1
Let l = 108 + -45. Let n = l - 30. Calculate the remainder when n is divided by 17.
16
Let h(b) = 19*b. Suppose 0 = 2*p - 4*n - 42, -5*n + n - 16 = 0. What is the remainder when h(2) is divided by p?
12
Suppose -4*v - 88 = q, -v + q = 6*q + 22. Let m = v + 55. What is the remainder when m is divided by 12?
9
Let l = -5 - -13. Calculate the remainder when (-30)/(-8) - (-2)/l is divided by 3.
1
Let f be 1/(1/((-8)/(-4))). Suppose -f*k + 150 = 4*g + k, 2*g + k = 76. Calculate the remainder when g is divided by 14.
11
Let t(f) = -14*f - 1. Let j(u) = -u**2 - 6*u + 10. Let y be j(-8). Let v(o) = -2*o + 2. Calculate the remainder when t(-4) is divided by v(y).
13
Let l be (6 + (2 - 3))*-1. Let w = l + 8. Suppose -a - w*a = 4*g - 32, -24 = -3*g + 3*a. What is the remainder when 14 is divided by g?
6
Calculate the remainder when 53 is divided by (-166)/(-6) - (-12)/(-18).
26
Suppose 3*t - 2*t = 0. Suppose 5 = -3*u + 17. What is the remainder when 8 - (t/2 + -2) is divided by u?
2
Let b = 2 + 8. Let s = b + -4. What is the remainder when s is divided by 4?
2
Let x = 0 + 4. Suppose -3*i + 27 = -15. Suppose -10 - i = -4*j. Calculate the remainder when j is divided by x.
2
Let n = -2 - -4. Suppose -3*b + n*x = -115, -3*b - 3*x + 55 + 35 = 0. Let p = -142 