4*z + 466. What is the remainder when (z/4)/((-3)/(-6)) is divided by b?
12
Let r(i) = 2*i**2 - 4*i - 4. Let c = -18 - -16. What is the remainder when 58 is divided by r(c)?
10
Let a = 4 - 2. Suppose a*t = -m - 0*t + 932, 0 = 2*m + 3*t - 1869. What is the remainder when (-6)/21 - m/(-14) is divided by 17?
16
Let f(n) = -n**3 - n**2 + 2*n - 4. Suppose 14*x = -51 + 9. Calculate the remainder when 31 is divided by f(x).
7
Let i(a) = 2*a**3 - 11*a**2 - 19*a + 13. Calculate the remainder when i(7) is divided by 17.
10
Let z(r) = -6*r**3 + 8*r**2 + 7*r + 2. Let j be z(-8). Calculate the remainder when j/90 + (-2)/9 is divided by 14.
11
Let l(y) = -y**3 + 10*y**2 + 2*y - 6. Suppose 8 = x - 2. Let g = 60 + -7. What is the remainder when g is divided by l(x)?
11
Let a = 168 + -25. Suppose -6*g = -10*g + 244. Suppose 4*h - g = a. What is the remainder when h is divided by 13?
12
Let j = 509 + -470. What is the remainder when 69 is divided by j?
30
Let a(c) = -2*c - 31. Calculate the remainder when 437 is divided by a(-36).
27
Suppose 7*v = 4*v. Suppose v*k = -4*k + 16. Suppose i = k*i - 183. Calculate the remainder when i is divided by 16.
13
Let r(k) = -8*k + 39. Let t(s) = -12*s + 59. Let i(j) = 7*r(j) - 5*t(j). What is the remainder when 9 is divided by i(7)?
3
Suppose 0 = 5*p - 5*i - 29 - 76, -4*p - 2*i + 66 = 0. Let o = 15 + -16. What is the remainder when p is divided by (-5 - o/1) + 9?
3
Suppose 19*y = 3334 - 655. What is the remainder when y is divided by 52?
37
Calculate the remainder when ((-156)/5)/((-26)/130) is divided by 81.
75
Suppose -17*u + 586 = -519. What is the remainder when u is divided by 33?
32
Let t = -59 - -61. Suppose 5*w = -14 + 34, 0 = -t*o - 5*w + 34. Calculate the remainder when 7 is divided by o.
0
Suppose 5*o = 5*o + 2*o. Suppose -4*c - l + 5*l = -120, -4*l + 8 = o. What is the remainder when 62 is divided by c?
30
Let i = 80 - 81. Calculate the remainder when 157 is divided by 2*i/1 + 34.
29
Suppose z - 5*z + 160 = 0. What is the remainder when 18 is divided by (3 + -2)/(-2)*z/(-2)?
8
Let c = -23 + 27. Suppose c = 5*v - 6. Let u(q) = 9*q**2. What is the remainder when u(v) is divided by 19?
17
Let y = -609 + 702. What is the remainder when y is divided by 36?
21
Let g = -260 - -170. Suppose 4*o = o + 24. What is the remainder when (10/(-6))/(5/g) is divided by o?
6
Suppose 4*a + 4 = 0, 2*z = z - 4*a + 48. What is the remainder when 202 is divided by z?
46
Let u(m) be the third derivative of m**4/24 - 2*m**3 - 12*m**2. What is the remainder when 9 is divided by u(19)?
2
Let x(d) = -d**3 + 10*d**2 + 14*d - 3. Let l be x(11). Suppose 5*a = l - 0. What is the remainder when 22 is divided by a?
4
Let c(m) = 46*m + 56. What is the remainder when c(3) is divided by 41?
30
Let g(y) = 3*y**2 + 12*y + 29. Calculate the remainder when 83 is divided by g(-5).
39
Let q be (-120)/(-35) - (-6)/(-14). Suppose 2*u = 9 - q. Suppose u*y + 6 = 66. Calculate the remainder when y is divided by 11.
9
Suppose -5*k - 137 = -3*h - 11, 0 = 5*k - 2*h + 124. Let q = 61 + k. Calculate the remainder when q is divided by 8.
5
Let r = -24 - -14. Calculate the remainder when 99/21 - 2/(-7) is divided by ((-16)/r)/((-2)/(-5)).
1
What is the remainder when 57 is divided by 13 + ((-4)/(-12))/((-2)/(-18))?
9
Suppose q + 3*k = 151, -435 + 12 = -3*q + k. What is the remainder when q is divided by (-4)/(-5)*(1 - -44)?
34
Let s(t) = 2*t + 8. Let d be s(-6). Let x = d + 4. Suppose x = 4*p - j - 83, 5*p + 3*j = -0*p + 125. Calculate the remainder when p is divided by 12.
10
Suppose -5*q + 85 - 15 = 0. What is the remainder when (-156)/18 + 8 + (-316)/(-6) is divided by q?
10
Suppose -132 = 4*y + 4*z, 5*y = -z + 18 - 199. Suppose -6*a + a - 330 = 0. Let n = y - a. What is the remainder when n is divided by 10?
9
Let c be (2/(-6) - 532/(-21)) + -4. Calculate the remainder when 1*c*(-12)/(-18)*2 is divided by 5.
3
Suppose -2*t + 96 = b, 6*t + 55 = 7*t - 3*b. What is the remainder when 326 is divided by t?
32
Calculate the remainder when 8 is divided by (15 - 205/15) + 1/(-3).
0
Let i(a) be the first derivative of a**4/4 + 7*a**3/3 - 4*a**2 + 5*a + 3. Calculate the remainder when i(-8) is divided by 4.
1
Let d(l) = -8*l**3 + 2*l**2 + 2*l + 1. Let a(i) = -7*i + 8. Suppose 0 = 2*k + 2*f + 6, f + 4 = 3*f. What is the remainder when a(k) is divided by d(-1)?
7
Suppose 0 = -f + h + 148, 315 = 5*f - 3*h - 431. What is the remainder when f is divided by (8/6)/((-28)/(-462))?
19
Let j(u) = -91*u + 3. Let a be -3 - -6 - (3 + -1). Let p be j(a). Calculate the remainder when p/6*33/(-22) is divided by 6.
4
Suppose 0 = 3*k - 5*g - 223, -3*k - 2*g - 3*g = -173. Calculate the remainder when 103 is divided by k.
37
Suppose 8 - 4 = -4*i, -23 = -o + 4*i. What is the remainder when 8/(-3 + 4) + 86 is divided by o?
18
Suppose 2 = -j + 5*z + 7, -5*z = 5*j - 85. Suppose 5*m - 2*u = 132, 2*u = m + 6*u - 22. What is the remainder when m is divided by j?
11
Calculate the remainder when (19 - 25)/((-2)/255) is divided by 32.
29
Suppose -g = -7*g + 318. Let v = -47 + g. Calculate the remainder when 17 is divided by v.
5
Let a(b) = 6*b**3 - 2*b**2 - 8*b + 4. Calculate the remainder when a(8) is divided by 37.
35
What is the remainder when 48 is divided by ((-20)/(-160))/(7/728)?
9
Let r be (-60)/(-18) - (-4)/6. Suppose 2*s + 3*u = 5*s - 9, -5*u - 16 = -r*s. What is the remainder when (20/s)/(14/(-49)) is divided by 18?
16
Suppose -2*a + 52 = 4*x, 4*a - 4*x = 5*a - 28. Let d be 1/(-3 - (-76)/a). What is the remainder when (-66)/(-9)*d - -3 is divided by 12?
11
Let b = -344 + 355. What is the remainder when (-3)/(-7) + 650/35 is divided by b?
8
Suppose 5*w - 78 = 4*n, -w = -6*n + 2*n - 6. Let p = w - 14. Suppose 3*s + 9 = 4*s. Calculate the remainder when s is divided by p.
1
Calculate the remainder when 605 is divided by (48/15)/((-68)/(-340)).
13
Suppose 78*i + 9410 = 10736. What is the remainder when 30*((-3)/(-5) - -1) is divided by i?
14
What is the remainder when (-6)/(-2) + (123/3 - -4) is divided by 27?
21
Suppose -3*v + v = -28. What is the remainder when v is divided by (-14)/(-4) + 21/(-28)*-2?
4
Let y(j) = j**2 - 1. Let u(i) = -i**3 + 5*i**2 - 4*i. Let k be u(3). Let t = k + -2. What is the remainder when 29 is divided by y(t)?
14
Let a(t) = 2*t + 53. What is the remainder when a(22) is divided by 20?
17
Calculate the remainder when 151 is divided by (-2)/(-12) + 2 + 1470/36.
22
Suppose -4*b = 12, 0*b - b + 126 = 3*i. Let h = -13 - -22. Calculate the remainder when i is divided by h.
7
Let x = 89 - 85. What is the remainder when 9 is divided by x?
1
Let t be ((-3)/6)/((-2)/(-68)). Let i = 11 + t. Calculate the remainder when ((-3)/i)/(5/310) is divided by 11.
9
Let k = 0 + -19. What is the remainder when k/(-76) - (-51)/4 is divided by 8?
5
Let t = 38 - 20. Let f(p) = -p**3 + 7*p**2 - 2*p - 1. Let h be f(7). Let z(l) = -l**3 - 16*l**2 - 20*l - 6. Calculate the remainder when z(h) is divided by t.
15
Suppose -5*d - 3*y + 15 = 0, -2*y + 0 + 10 = 4*d. Suppose -6*v + 474 - 132 = d. Suppose -a = -0*a - 15. Calculate the remainder when v is divided by a.
12
Suppose -2*w + 4*w = 30. Let c(t) be the third derivative of t**5/60 - t**4/4 - 13*t**3/6 + 16*t**2. Calculate the remainder when c(11) is divided by w.
12
Let b(g) = -3*g**3 - 4*g**2 - 9*g - 18. What is the remainder when 23 is divided by b(-2)?
7
Let c be (7 - 0) + (1 - 1) + -3. Suppose -c*n = 3*y - 23, n + n = 4. Let z(k) = -k**2 + 10*k - 7. Calculate the remainder when z(6) is divided by y.
2
Suppose -5*s + 4*u + 96 = 5*u, -3*s + 53 = -4*u. What is the remainder when s is divided by 8 - (-329)/(-42) - 34/(-12)?
1
Let q(b) = 2 + b - 4 + 8*b + 3*b - 2*b**2. What is the remainder when 22 is divided by q(5)?
6
Let r(n) = 14*n**2 - n - 1. Let t be r(-2). Let p = -40 + t. What is the remainder when p is divided by 2?
1
Let w(q) = -q + 1. Let d(s) = -s - 10. Let c(u) = d(u) + 3*w(u). Let t = 32 + -23. What is the remainder when c(-10) is divided by t?
6
Let p(t) = 5*t + 55. What is the remainder when p(-5) is divided by 6?
0
Suppose -26 = -x - t, t + 3 = 8. Let u be -1*(-1)/(12/(-8) - -2). Suppose -58 = -5*l + u. What is the remainder when x is divided by l?
9
Let a(x) = -x**3 - 13*x**2 - 20*x - 30. Calculate the remainder when a(-12)