hat is the remainder when ((0 - 41) + -3)/j is divided by 23?
21
Let g(r) = r**3 + 5*r**2 - r - 1. Let t be g(-5). Suppose 2*h - 4*b = 18, -4*h + t*b = -0*b - 20. Calculate the remainder when 2 is divided by h.
0
Suppose -3*z + 16 = 4*r, -3*r - 2*z + 5*z + 12 = 0. Calculate the remainder when 70/(-3)*(-6)/r is divided by 13 - (0 + 0 + 1).
11
Let n be (0 - -1)/((-3)/(-6)). Let x(m) = m**3 - 9*m**2 + 5*m + 8. Let s be x(9). Suppose s = n*k - 5. Calculate the remainder when k is divided by 15.
14
Suppose 0 = -4*n + n. Suppose n*c - 2*c + 8 = 0. What is the remainder when ((-6)/c)/(3/(-12)) is divided by 4?
2
Suppose 8*s = 45 + 27. Suppose -7*j + 3*j = -132. What is the remainder when j is divided by s?
6
Suppose u = 1 + 7. Let r = 6 - 2. Suppose -r*q = -9 - 11. Calculate the remainder when u is divided by q.
3
Suppose 0 = p - a - 3*a - 37, 4*p - 104 = 5*a. What is the remainder when 57 is divided by p?
15
Let n(q) = -2*q - 8. Calculate the remainder when 20/(-1)*(-3)/4 is divided by n(-6).
3
Let z be (-86)/18 + (-8)/36. Let c = z + 13. What is the remainder when c is divided by 3?
2
Let v be 4/(-6) - (-146)/3. Let g = v - 33. What is the remainder when 44 is divided by g?
14
Suppose 21*u = 15*u + 354. Calculate the remainder when u is divided by 2/(-6) - (-46)/3.
14
Let r = 139 + -96. Suppose 0*f - 3*f - 2*i + 27 = 0, -5*f + 32 = -i. Suppose 2*w = f*w - 75. Calculate the remainder when r is divided by w.
13
Let f = 16 - 9. Suppose -32 + 16 = -4*r. Calculate the remainder when f is divided by r.
3
What is the remainder when (-4)/22 - 14*(-137)/22 is divided by 23?
18
Let v(d) = -3*d + 5. Calculate the remainder when 50 is divided by v(-4).
16
Let o = -22 + 24. Suppose -q - 1 = -4*i, -o*q + 4 + 46 = 5*i. What is the remainder when q is divided by 4?
3
Let x(r) = 7*r**2 - 3*r**2 + 4*r**2 + 3*r. Let z = -6 - -15. What is the remainder when x(-2) is divided by z?
8
Suppose i - 10 + 1 = u, -38 = -4*i + 3*u. Suppose 0 = -5*m + 6*m - 4. What is the remainder when i is divided by m?
3
Suppose c + 0*c = 12. Let b(l) = l**3 + 4*l**2 - 7*l - 5. Suppose 5*o - 3*n = n - 16, -5*o = -5*n + 15. Calculate the remainder when b(o) is divided by c.
11
Let t(n) = n**3 + n. Let h be (-6)/(-9) + 129/9. Suppose 4*w + 2*p = 14, -p + h = 4*p. Calculate the remainder when 18 is divided by t(w).
8
Suppose -4*g = 70 - 198. Suppose 0 = 2*o + 3*o - 50. What is the remainder when g is divided by (o + 1)/(-2 + 3)?
10
Suppose 3*p - 102 + 19 = -n, 129 = 4*p + 5*n. What is the remainder when p is divided by 7?
5
Let r(u) = u + 3. Let y(q) = 3*q + 12. Let d be y(10). Suppose -39 - d = -3*f. What is the remainder when f is divided by r(11)?
13
What is the remainder when 14 is divided by 4/26 + (846/78 - 3)?
6
Let n be (-32)/(-18) + (-4)/(-18). Let d(z) = z**3 + 5*z**2 + 4*z + 5. Calculate the remainder when d(-4) is divided by (n/7)/(4/28).
1
Let c = 16 + -11. Calculate the remainder when 16 is divided by c.
1
Let s(z) = -z**3 - 9*z**2 - 12*z - 9. What is the remainder when 112 is divided by s(-8)?
20
Let g = 21 - 14. Let u = 197 - 186. Calculate the remainder when u is divided by g.
4
Suppose -3*k = -1 - 5. Calculate the remainder when 3 is divided by k.
1
Suppose 3*q - 5*m + 7 - 49 = 0, -5*m - 24 = -q. Suppose 0 = -4*k + 7*k - q. What is the remainder when 8 is divided by k?
2
Suppose 23 = -2*m - 5. Calculate the remainder when (1 - -6)*(-20)/m is divided by 6.
4
Suppose 0*f - 5*f = -50. Calculate the remainder when 28 is divided by f.
8
Let j(f) = f**2 + 3*f + 3. Suppose -2*v - 6 = -b - 2, 4*b = 2*v + 40. What is the remainder when b is divided by j(-4)?
5
Let p = -18 + 47. What is the remainder when 86 is divided by p?
28
Let x be (4 - 2)/((-2)/(-2)). What is the remainder when 61 is divided by 4/x - 19*-1?
19
Suppose p = -4*h + 2*p + 29, 4*h - 24 = -4*p. Let m(b) = b**2 - 3*b + 2. Calculate the remainder when m(h) is divided by 8.
6
Suppose 4 = 3*r - 35. What is the remainder when r is divided by 1 + 2 + (-2)/(-1)?
3
Let a be 3*(-2)/(-3) + 10. Let f = a + 4. What is the remainder when 8/(-3)*270/(-24) is divided by f?
14
Suppose 2*b = c + 2, -3 - 6 = 2*c - 5*b. Calculate the remainder when 36 is divided by c.
4
Suppose 2*v - 38 = -10. Let j(c) = -5*c**3 - 2*c - 3. Let w = -6 + 4. What is the remainder when j(w) is divided by v?
13
Suppose q + 1 - 5 = 0. Suppose -q*o + 0*o - 3*a = -92, 4*a = 2*o - 24. Calculate the remainder when 37 is divided by o.
17
Let l(m) = m**3 - 3*m**2 - 8*m + 7. Let p = 13 - 7. Calculate the remainder when l(5) is divided by p.
5
Let n(r) = r**3 + 8*r**2 + 4*r - 5. Suppose -4*u - 15 = -67. What is the remainder when n(-5) is divided by u?
11
Let g = 16 + 4. What is the remainder when g is divided by 7?
6
Suppose 4 = 2*m - 10. Calculate the remainder when m is divided by 10*3*(-3)/(-18).
2
Let j = -69 - -99. Suppose 2*t - 32 = -0*t. What is the remainder when j is divided by t?
14
Suppose -k + 4 = -5. Calculate the remainder when 51 is divided by k.
6
Let s be 6/(-3)*-3*1. Let t be (-2)/1*s/4. Calculate the remainder when t/6 - 69/(-6) is divided by 6.
5
Let s(m) = m**2 + 8*m + 4. Let u be s(-5). Calculate the remainder when 14/77 - 372/u is divided by 12.
10
Suppose -4*p - 3 = 1. Calculate the remainder when (p/1)/(3/(-63)) is divided by (1 + -2)*(-22)/2.
10
Suppose a + 122 + 18 = 3*u, 2*u - 94 = a. Calculate the remainder when 183 is divided by u.
45
Let i(b) = b**3 + 5*b**2 + 3*b + 3. Let q be i(-5). Let m be (q/8)/(6/152). Let t = m + 63. Calculate the remainder when t is divided by 9.
7
What is the remainder when 51 is divided by (-26)/(-4*(-3)/(-6))?
12
Let j(l) = l**3 - 3*l**2 - 2*l + 3. What is the remainder when j(4) is divided by 4?
3
Suppose -r + 9 = -6*r - 2*q, -4*r + 5*q = -6. Calculate the remainder when (-51)/(-2) + r/2 is divided by (-1)/(-2) - 51/(-6).
7
Let t be 3/2*(-1184)/12. Let i = t - -106. Let d = -30 - i. Calculate the remainder when 35 is divided by d.
11
Let c(o) = -3*o**3 + 3*o**2 + 2*o - 1. Suppose 4*y - 2*w - 34 = 0, -y - w = 2*y - 28. Suppose y + 2 = a. Calculate the remainder when c(-2) is divided by a.
9
Let l = 3 - 1. Suppose 240 = -l*h + 7*h. Suppose 0 = 2*d - u - 0*u - 53, -2*u = -2*d + h. Calculate the remainder when d is divided by 10.
9
Let n(z) = z**2 - 7*z - 5. Let m(c) = -c**2 + 3*c + 2. Let h(o) = -7*m(o) - 3*n(o). Let l(k) = 3*k**2. What is the remainder when h(1) is divided by l(-1)?
2
Suppose 11*l - 144 = -l. What is the remainder when (-1)/2*-4*23 is divided by l?
10
Let r(l) be the third derivative of l**5/4 + 3*l**2. Let z be r(-2). Suppose -4*p + z = -p. What is the remainder when p is divided by 7?
6
Suppose 2*h + l + 2*l = 13, -2*l - 66 = -4*h. Let m = -1 + 1. Suppose -5*p = -5*g - 190, -2*p - 3*g = -m*p - 91. Calculate the remainder when p is divided by h.
13
Let k be 0*((1 - 1) + 1). Suppose b + 3*b = k. What is the remainder when 29 is divided by (b - 1) + 33/3?
9
Calculate the remainder when -3 + (2 - 1) - (11 + -17) is divided by 2/4*4*1.
0
Suppose 2*v = 48 - 12. What is the remainder when 52 is divided by v?
16
Let g = -2 + 7. Let u(b) = -b**3 + 4*b**2 + 5*b + 7. Let w be u(g). Let h = w + 1. What is the remainder when 22 is divided by h?
6
Suppose -5*a - 4 = -24. Suppose -a*n + 20 = -2*n. Let h = n + -6. Calculate the remainder when 10 is divided by h.
2
Let h(o) be the first derivative of 2*o**3/3 - o**2 + 2*o + 4. Let v be h(2). Suppose v*n - 90 = n. What is the remainder when 35 is divided by n?
17
Let b be (-4)/12 + 16/3. Suppose -9 = -b*d - 4. Let c = 25 - d. Calculate the remainder when 47 is divided by c.
23
Suppose -3*g - 8 = -38. Suppose 0 = -5*l + 3*k + k + 199, 192 = 5*l + 3*k. Calculate the remainder when l is divided by g.
9
Let i(p) = -p**3 + 16*p**2 + 16*p + 32. What is the remainder when 22 is divided by i(17)?
7
Suppose 5*b - 74 = -4*c, 2*c + 3 - 47 = -3*b. Calculate the remainder when b is divided by -4*1 - 54/(-6).
4
Let v = -19 + 23. Suppose 0 = -3*p + q + 143, 3*p + v*q = -0*p + 133. Calculate the remainder when p is divided by 10.
7
Let y(w) = 8*w**2 - 1. Suppose 1 - 3 = -2*g. Calculate the remainder when 12 is divided by y(g).
5
Calculate the remainder when 55 is divided by (-50)/(-10)*(-28)/(-10).
13
Calculate the remainder when 99 is divided by (-4)/26 + 1332/39.
31
Su