et p be -1 - (3 - (-18)/3). What is the remainder when 20 is divided by (-5)/((-5)/(-3)) - p?
6
Let v = 1332 + -1217. Calculate the remainder when v is divided by 46.
23
Suppose -7*f - 168 = -4*v - 11*f, 4*v - 141 = 5*f. What is the remainder when 77 is divided by v?
38
Let n(w) = -1 - 7*w + 7 + 6 + 1. Calculate the remainder when n(-6) is divided by 7.
6
Suppose -9*g - 1401 + 2481 = 0. What is the remainder when 469 is divided by g?
109
Let w = -98 - -100. Suppose 0*d = 3*d - 4*p - 563, d = w*p + 187. What is the remainder when d is divided by 48?
45
Let k(w) = -w - 6. Let s be k(-5). Let h = s - -9. What is the remainder when (21/(-2))/((-3)/4) is divided by h?
6
Let w(s) = 246*s**3 - 5*s**2 + 13*s - 7. Calculate the remainder when w(2) is divided by 164.
163
Let g = 33 - 27. Suppose -g*x - 5 = -29. Let h = -4 - -7. Calculate the remainder when x is divided by h.
1
Let z be (1182/15)/2 + (-4)/10. Let w = z + -1. Let r = -4 + 17. Calculate the remainder when w is divided by r.
12
Suppose u - 5 + 23 = 0. Let g = 30 + u. Calculate the remainder when 22 is divided by g.
10
Let q be 2 + -5 + (4 - -4). Suppose 4*l - l = -4*f + 83, q*l + f - 127 = 0. What is the remainder when l is divided by (-80)/(-6) + 1/(-3)?
12
Let z(n) = n**3 - 5*n**2 + 5*n - 3. Suppose 20 = -3*b + 44. Calculate the remainder when z(5) is divided by b.
6
Suppose 5*l = 52 + 23. Let t = -13 + l. What is the remainder when 2 is divided by t?
0
Let k(s) = 2*s**3 + 5*s**3 - 5*s**3 - 6 - 6*s**2 + 3*s. Let n be k(4). Let o = n - 15. What is the remainder when o is divided by 8?
7
Let h = 581 - 532. What is the remainder when 186 is divided by h?
39
Let d(z) = -z + 8. Let r be d(5). Suppose -r*m + j = -40, -4*j + 55 = 5*m - 6. What is the remainder when m is divided by 7?
6
Suppose -d = 4*d + 4*p - 3386, 4*d - 2717 = 5*p. Calculate the remainder when d is divided by 10.
8
Let p(k) = -768*k**3 + 5*k**2 - 3*k - 8. What is the remainder when p(-1) is divided by 35?
33
Let d be (-2)/8 - (-162)/72. Suppose 4*s = -d*c + c + 26, -3*s - 40 = -c. Calculate the remainder when c is divided by 20.
14
Suppose -30*o + 7*o + 230 = 0. Suppose -45 = -5*w - 3*v + 152, 0 = -w + 2*v + 42. Let k = w + -21. Calculate the remainder when k is divided by o.
9
Let m = -40 + 79. What is the remainder when 115/(2 - 3 - (0 - 2)) is divided by m?
37
Let u = 19 + 0. Let q = -18 + u. What is the remainder when q - (-3 + -20 + -3) is divided by 15?
12
Let u(r) = r + 17. Suppose 8 = -3*t - 7. Suppose -3*s - 2*s + 290 = 0. What is the remainder when s is divided by u(t)?
10
Let z be (1 - 1)/((-9)/(-3)). Suppose -2*g = -3*w + 1, g + z*w + 3*w - 4 = 0. Let n = 17 + g. Calculate the remainder when 35 is divided by n.
17
What is the remainder when 61 is divided by (10/3)/((-80)/60)*-18?
16
Let q = 117 + -142. Calculate the remainder when 122 is divided by (4 - (-2 + q)) + 0.
29
Suppose 0*r - 8 = -2*r. Suppose q = -3*k + 9, -r*q - 2 = -4*k - 118. What is the remainder when 118 is divided by q?
22
Let c(b) be the third derivative of 5*b**4/12 - b**3/6 + 17*b**2. Calculate the remainder when c(5) is divided by 17.
15
Suppose -3*x = -1 - 5, 0 = 5*g + 2*x - 744. Let j = g + -50. Calculate the remainder when j is divided by 20.
18
Suppose -2*t + f - 28 = -0*t, 5*f + 25 = -t. What is the remainder when 8 + (t/(-10))/((-3)/4) is divided by 3?
0
Let j be 273 - (39/12 - (-2)/(-8)). Suppose 3*l + o - j = -o, -o = -l + 85. Calculate the remainder when l is divided by 15.
13
Let o(r) = 3*r + 7. Let x(z) = -3*z - 9. Let k(t) = -6*o(t) - 5*x(t). Suppose 3*d + 40 = -2*d. What is the remainder when k(d) is divided by 7?
6
Suppose 0 = x - 4*g - 10 - 1, -4 = -2*x - g. Suppose 4*v + 2 = l - 3*l, 2*l = x*v + 12. What is the remainder when 3 is divided by l?
0
What is the remainder when (-1 - 6/8)*396/(-11) is divided by 33?
30
Suppose 4*r - 314 = t, r - 3*t - t = 71. Calculate the remainder when r is divided by 24.
7
Let p(o) = o**3 + 5*o**2 - 38*o. What is the remainder when p(-8) is divided by 97?
15
Let u(x) = -x + 5. Let o be u(-3). Calculate the remainder when o/(-32) + 277/4 is divided by 14.
13
Let k be 130/6 - 6/9. Suppose 0 = -2*s + 127 + k. Let z = s + -45. What is the remainder when 56 is divided by z?
27
Let v = -69 - 113. Let j = v + 265. Let b = j + -57. Calculate the remainder when 50 is divided by b.
24
Let d = -150 + 50. Let l = -88 - d. What is the remainder when 70 is divided by l?
10
Let u = -93 - -111. Suppose -v + 15 = -6*v. Let f(n) = -n**3 + 2*n**2 + 4*n. Calculate the remainder when f(v) is divided by u.
15
Suppose 4*o = 4*b + 240, 48 = o - 11*b + 14*b. What is the remainder when 1024 is divided by o?
55
Let q(d) = 5*d**3 + 4*d**2 - 6*d - 29. Let y(h) = 4*h**3 + 3*h**2 - 4*h - 28. Let a(m) = 3*q(m) - 4*y(m). What is the remainder when a(0) is divided by 13?
12
Suppose 5*x - 672 = 43. Suppose -2*i + 2*p = -54, 5*i - p - x = 2*p. What is the remainder when 90 is divided by i?
28
Let r(j) = 3*j**3 - 2*j**2 - j + 5. Let a be r(-4). Let f = 379 + a. What is the remainder when f is divided by 33?
32
Suppose 2965 = -35*c + 40*c. Calculate the remainder when c is divided by 66.
65
Suppose -6*o = 8*o - 532. What is the remainder when 43 is divided by o?
5
Let g(c) = -11*c**3 - c**2. Suppose -6*x = -4*t - 3*x + 14, 3*t - 4*x = 7. Calculate the remainder when ((-12)/(-3) - t)*-49 is divided by g(-1).
9
Let d be -1 - (12/66 - 774/22). Suppose m - 5*p = 24 + 12, p = 5. Let u = m - d. Calculate the remainder when u is divided by 7.
6
Suppose 0 = -2*b - 6*b - 16. Calculate the remainder when (-234)/(-4) - b/(-4) is divided by 15.
13
Let q(g) = 2*g**2 - g - 5. Let w = -82 - -77. Calculate the remainder when q(w) is divided by 9.
5
Let s(k) = -55*k + 49. Let a(d) = 11*d - 10. Let j(r) = 11*a(r) + 2*s(r). What is the remainder when j(4) is divided by 9?
5
Let q = -28 - -52. Suppose 10*u + q = 6*u. What is the remainder when 111/9 + (-4)/u is divided by 4?
1
Suppose -77 = -7*f - 0*f. Let n(g) be the third derivative of -g**6/120 - g**5/15 + g**4/6 - g**3/3 - 2*g**2. What is the remainder when f is divided by n(-5)?
2
Let t(c) = -15*c**2 + 8*c**2 + 8*c**2 + 9*c + 2. Let d be t(-11). Suppose -2*q + 2*b = -d, 2*q - 4*q = 3*b - 34. What is the remainder when 22 is divided by q?
8
Let y(r) = r**3 - 2*r**2 - 3*r + 7. Suppose 5*g = 3*v + 6, 0 = 4*v - 0*g + 2*g - 18. Calculate the remainder when 12 is divided by y(v).
5
Suppose 2*m - 2*o - 42 = 0, -4*m + 37 = 5*o - 56. Calculate the remainder when 127 is divided by m.
17
Let x(w) = w**3 + 8*w**2 - 4*w - 3. Suppose s - 50 = -2*f, 5*f + 4*s = 54 + 74. What is the remainder when x(-6) is divided by f?
21
Suppose -2*n + 3 = n - 3*p, 0 = 2*n - 5*p - 2. Let m(y) = 16*y - 3. Calculate the remainder when 20 - ((-2)/1)/2 is divided by m(n).
8
Suppose 872*l - 867*l - 1170 = 0. What is the remainder when l is divided by 52?
26
Let v(n) = 2*n**3 + 6*n**2 + 2*n + 1. Let d(q) = 3*q**3 + 11*q**2 + 3*q + 2. Let k(o) = 3*d(o) - 5*v(o). What is the remainder when 21 is divided by k(2)?
0
Let z = 92 - 61. Let g be 1/3 + (-53)/(-3). Let q = z - g. Calculate the remainder when 49 is divided by q.
10
Let q = -72 - -186. Suppose -3*g = -5*s + q, -2*s - 70 = -5*s + g. Calculate the remainder when 45 is divided by s.
21
Let k(c) = -c**3 - 20*c**2 - c - 4. Calculate the remainder when 127 is divided by k(-20).
15
Let v(f) = -3*f**2 + 3*f**2 + f + f**2 + 3*f. Suppose o + 3*o = 240. Calculate the remainder when o is divided by v(3).
18
Suppose 0 = -4*k + 411 + 693. What is the remainder when k is divided by 31?
28
Let v(o) = 7 - 14*o + 2*o**2 - 3*o**2 + 6*o. Let i(n) = -19*n - 26. Let g be i(-1). Calculate the remainder when v(g) is divided by 4.
2
Suppose -5*j + 4*j = 1. Let h(z) = z**2 + 3. What is the remainder when (1/2 + j)*-46 is divided by h(-3)?
11
Suppose 0 = 6*o - o - 10. Let t = o - -1. Suppose -5*y + i = -112, 54 = t*y - 3*i - 2*i. What is the remainder when y is divided by 13?
10
Let n = -341 - -351. Calculate the remainder when 25 is divided by n.
5
Let n(i) be the third derivative of i**5/10 + i**4/24 - i**3/6 + i**2. Let l = -18112 + 18174. Calculate the remainder when l is divided by n(-2).
20
Let t = 1 - -15. Let s(p) = -21*p - 2. Calculate the remainder when s(-3) is divided by t.
13
Suppose 0 = -3