 m(z) = z**3 - 8*z**2 + z. What is the remainder when m(8) is divided by 3?
2
Let v(j) = -j**2 - 15*j - 18. What is the remainder when 30 is divided by v(-13)?
6
Let y = -6 - -6. Suppose 0*g - g + 2 = y. Let c = 8 + -5. What is the remainder when c is divided by g?
1
Suppose -5*l = 4*k - 8 - 39, 51 = 5*l + 2*k. Calculate the remainder when 31 is divided by l.
9
What is the remainder when 6/((-4)/(-792)*6) is divided by 25?
23
Suppose 4*t + 496 = 5*m - 641, 0 = 4*m + 4*t - 888. Suppose -4*o - 52 = 4. Calculate the remainder when 31 is divided by m/21 + (-4)/o.
9
Let g(l) = -l**3 + 7*l**2 + 7. Calculate the remainder when g(5) is divided by 20.
17
Let u(h) = 2*h**3 - 3*h**2 + h + 1. Suppose s = -s. Suppose 5*d - 40 = 5*t, s = 2*d - 4*t - 0*t - 26. What is the remainder when u(d) is divided by 11?
9
Let u be -15*((-16)/12)/4. Suppose -54 = -u*b - 2*r, b - 2*b + 5*r = 0. Let z(q) = 7*q**2 + 1. Calculate the remainder when z(2) is divided by b.
9
Suppose 3*y = 7*y - 28. What is the remainder when 29 is divided by y?
1
Suppose -5*u = -2*x - 304, -u - x - 4*x + 77 = 0. What is the remainder when u is divided by 9?
8
Let k(u) = -9*u - 4. What is the remainder when 28 - 3*(-4)/(-6) is divided by k(-2)?
12
What is the remainder when 1/(-2)*2 + 57 is divided by 15?
11
Let r be (1 + 2)*21/3. Suppose -5*u + 14 + r = 0. Calculate the remainder when 11 is divided by u.
4
Suppose -108 = -5*a - 28. What is the remainder when (-1074)/(-24) - 2/(-8) is divided by a?
13
Let a = -22 - -83. Suppose 2*f = -4*g + 54, -f - 69 = 2*g - 6*g. What is the remainder when a is divided by g?
13
Suppose 1 = n - 4*c - 16, -20 = 5*c. Suppose 35 = 2*j - 9. What is the remainder when j is divided by -4*n*(-1 - 1)?
6
Suppose -7*s = -2*s - 20. Suppose n - 209 = -5*h - 3*n, n = 3*h - 139. What is the remainder when 3/(-12) - h/(-4) is divided by s?
3
Let q(n) = n**3 - 7*n**2 + 6*n. Let f be q(6). Let k(l) = -2*l**2 + f*l**2 + 2*l + 3*l**2 - 6. Calculate the remainder when k(-7) is divided by 10.
9
Let n(p) = -p**3 - 4*p**2 + 10*p + 8. Suppose 2*k + 16 - 4 = 0. Let f be n(k). Suppose -4*x = x - f. Calculate the remainder when 9 is divided by x.
1
Let q = -2 - -12. Let j = 15 + 20. Let b = 63 - j. Calculate the remainder when b is divided by q.
8
Calculate the remainder when 4/(-6) - 430/(-15) is divided by 8.
4
Suppose -3*r - 3*f + 9 = 0, 0 = -2*r - 5*f - 0*f + 9. What is the remainder when 16 is divided by (-115)/(-20) + r/8?
4
Let b(a) = a**2 + a + 6. Let k(i) = 6*i**2 - 2*i - 1. Suppose 3 + 3 = 3*c. Calculate the remainder when b(-6) is divided by k(c).
17
Let h = 3 + 0. Calculate the remainder when h is divided by 1.
0
Suppose 4*h - 2*x - 162 = 122, -2*h + 2*x = -146. Calculate the remainder when h is divided by 12.
9
Let p(k) = -28*k**2 + 21. Let d(v) = v**2 - 1. Let n be -21 + 2 + -2*1. Let s(b) = n*d(b) - p(b). Calculate the remainder when s(-1) is divided by 3.
1
What is the remainder when 49 is divided by (6/(-5))/(18/(-150))?
9
What is the remainder when (17*(-2 - 2))/(-2) is divided by 18?
16
Suppose 2*c = 2*a - 26, 6*c = -a + 5*c + 7. Suppose -b - b + 38 = 0. What is the remainder when b is divided by a?
9
Suppose u = -2*a + 9, -a + 0*u = 3*u - 17. Suppose 52 - 184 = -3*q. What is the remainder when 5 is divided by q/16 + a/8?
2
Let p(n) = n**2 - 2*n - 3. Let l be p(4). Suppose l*r + 5*j - 25 = -0*j, 4 = 4*j. Suppose 60 = -r*h + 8*h. What is the remainder when 44 is divided by h?
14
Suppose 2*x - 4*j + 2 = -14, -3*j = -9. What is the remainder when (x - 1)/3*-7 is divided by 3/(-6)*-4 + 2?
3
Suppose -4*u + 40 = -8*c + 4*c, -u = 3*c - 14. Let v = -16 - -35. Calculate the remainder when v is divided by u.
8
Suppose -5*x + 25 = 0, -3*x = -2*r - r - 18. Let i(w) = 11*w**2 - 1. Calculate the remainder when i(r) is divided by 4.
2
Calculate the remainder when -7 + 65 - (3 + 0) - 2 is divided by 14.
11
Let m be 2/8 - (-342)/72. Suppose 0*f + 4*k + 29 = m*f, 4*f = 4*k + 20. What is the remainder when 33 is divided by f?
6
Let u be (-23)/(-4) + (-4)/(-16). Suppose 0 = o - u*o. Suppose o = -d - d + 64. What is the remainder when d is divided by 17?
15
Let i(x) = 10*x**2 + 2*x + 2. Suppose 0 = 8*l - 3*l + 30. What is the remainder when i(-2) is divided by (16/(-10))/(l/75)?
18
Let x = 18 + -11. Let h(i) = 3*i**2 + 3*i. Calculate the remainder when h(-3) is divided by x.
4
Let s = -4 + 4. Suppose 4*o + 4 = -s*o. Let c = o + 4. Calculate the remainder when 4 is divided by c.
1
Let o = 37 - 36. What is the remainder when 1 is divided by o?
0
Suppose h + 3*h - 4*x - 596 = 0, 5*x = -4*h + 596. Calculate the remainder when h is divided by 38.
35
Suppose 2*k - 7 = 7. Suppose -f + k + 36 = 4*h, 4*h - 63 = 3*f. Calculate the remainder when h is divided by 5.
2
Suppose 0 = n + 2 + 6. Let l = 14 - n. What is the remainder when 43 is divided by l?
21
Suppose -3*x - 1 = 4*y, -3 = -2*x - x. Let u be (y + -1)*-5 + -1. Suppose -2*g = 5*d - u, -29 - 4 = -2*g + 3*d. What is the remainder when 34 is divided by g?
10
Let o(l) = -l**2 + 7*l - 6. Let p be o(10). Let y = p + 50. Calculate the remainder when 54 is divided by y.
12
Let b be 1/((-1)/1)*-45. Suppose b - 4 = w. Calculate the remainder when w is divided by 11.
8
Let d = -7 + 20. Let j = 123 + -75. Suppose 0*s = 2*o - 3*s - j, -24 = -o - s. Calculate the remainder when o is divided by d.
11
Suppose -136 - 170 = -6*s. What is the remainder when s is divided by 11?
7
Suppose -5*h + 4*z + 307 = 37, h = z + 53. Calculate the remainder when h is divided by 5.
3
Suppose 3*w - 34 = 4*q, -22 = -4*w + 3*q + 14. What is the remainder when 20 is divided by w?
2
Suppose -2*q = -d + 2*q - 12, 4*d - 9 = -3*q. Suppose -2*i + 3*i - 6 = d. What is the remainder when i is divided by 3?
0
Let d = 69 + -58. Suppose p = -4*p + 155. What is the remainder when p is divided by d?
9
Let c(p) = -2*p. Let k(i) = 2*i + 2*i + 9 + 2*i - 4*i. What is the remainder when k(7) is divided by c(-4)?
7
Let w(i) = -25*i + 0 - 3 + 5. What is the remainder when w(-2) is divided by 18?
16
Suppose c = -4*c - 110. Let b be c/(-4) + (-6)/12. Suppose b*v + 0*t - 10 = -t, -5*t = -v + 28. Calculate the remainder when 8 is divided by v.
2
Let x(m) = -m**3 - 3*m**2 + 2*m + 1. Let o be (-16)/(-4) + 0 + 0. Suppose 22 = 3*k + l, -4 = -2*l + o. What is the remainder when x(-4) is divided by k?
3
Suppose 5*c - 9 = -3*t, t + 5 = -5*c + 18. Suppose c*h + 75 = -141. Let k = -35 - h. What is the remainder when k is divided by 13?
11
Suppose 4*c + 20 = 136. Calculate the remainder when c is divided by 8.
5
Let b(s) = 7*s**3 - s**2. What is the remainder when ((-33)/44)/((-1)/36) is divided by b(1)?
3
Let c(z) = -5*z - 1. Let b be c(-1). Suppose 33 = b*x - 11. What is the remainder when 20 is divided by x?
9
Let o(g) = g**2 - 12*g - 10. Let f be o(13). Suppose 20 = -f*l + 4*l. Calculate the remainder when 4*10 - (0 - -1) is divided by l.
19
Suppose 136 = 20*q - 12*q. Let y be ((-38)/10 + -1)*-10. Let n = y - q. Calculate the remainder when n is divided by 8.
7
Calculate the remainder when 2 - -27 - (-3)/(-3) is divided by 8.
4
Suppose 3*h - h = 6. Let d(j) = -2*j**3 + 3*j - 4. Let q(z) = -z**2 + z - 1. Let x(w) = -d(w) + 3*q(w). Calculate the remainder when x(h) is divided by 10.
8
Suppose 0 = 2*q - 0*q. Suppose -3*z = -q*k - 3*k - 9, -2*k = 0. What is the remainder when 5 is divided by z?
2
Let n(h) = 33 - 13*h**2 - h + 11*h**2 + h**2. What is the remainder when n(0) is divided by 9?
6
Let c = -14 - -30. What is the remainder when 77 is divided by c?
13
Suppose 5*j + 14 = 2*m, -j = -m - 6*j - 8. Let x = 9 + 2. Suppose m*i + 16 = p, 5*p - 17 = -3*i + x. What is the remainder when 23 is divided by p?
7
Let a(x) = -x**3 + x**2 - x**2 + 6*x**2 - 4*x + 2. Suppose 2*k + 0*k - 5 = -5*p, 0 = -k - 3*p + 1. What is the remainder when a(4) is divided by k?
8
Let r(z) = -10*z - 5. Suppose 0*h - 12 = -3*h. Let k be r(h). Let l = k + 63. Calculate the remainder when l is divided by 10.
8
Let j = 1 + 9. Suppose -3*i + 2*g - 5*g = 12, i - 14 = 5*g. What is the remainder when (5 - -1)*(i - -4) is divided by j?
8
Let v(w) = w**3 - 7*w**2 + w + 3. What is the remainder when v(7) is divided by 3?
1
Let o = -16 + 59. Let n(v) = v**3 - 3*v**2 + v. Let r be n(3). Suppose g + 4 = -r*g, 58 = 4*d + 2*g. Calculate the remaind