What is the remainder when a(j) is divided by 4?
1
Let i(k) = -31*k**3 - k**2 + 7*k + 7. Calculate the remainder when i(-2) is divided by 81.
75
Let t = -545 + 568. Let x be -1 - 1*(-1)/1. Suppose x*s + 135 = 3*s. Calculate the remainder when s is divided by t.
22
What is the remainder when 74 is divided by (380/16)/(-5)*(-1 + -3)?
17
Suppose 2*i - 17 - 7 = 0. Let x(j) = j**3 - 16*j**2 - 15*j - 11. What is the remainder when x(17) is divided by i?
11
Suppose -3*o - 103 = 2*o - 2*a, -2*a + 8 = 0. Let i = 58 + o. Calculate the remainder when i is divided by 20.
19
Let m(p) = -p**2 - 5*p + 143. What is the remainder when m(9) is divided by 1?
0
Let n be ((-6)/4)/(1/(-2)). Suppose 9*b - 144 = n*b. What is the remainder when 95 is divided by b?
23
Suppose 3*z = -180 + 786. What is the remainder when z is divided by 100?
2
Suppose 3*d - 89 = -4*n, d + 2*d = 2*n - 49. Let i = 30 - 27. Suppose -5*h = -t + 38, -t + 2*h + 8 = i*h. What is the remainder when n is divided by t?
10
Let y = -466 + 643. Calculate the remainder when y is divided by 9.
6
Suppose 5*z + o - 45 = 0, 0 = -2*z + 10*o - 9*o + 18. Suppose -8 - 1 = -p. What is the remainder when 20 is divided by (-2)/z - (-101)/p?
9
Let q(t) = 2*t**3 - 9*t**2 - 2*t - 8. What is the remainder when 20 is divided by q(5)?
6
Let g = 42 + -41. Suppose -6*v = -157 + g. Calculate the remainder when 49 is divided by v.
23
Let i(d) be the second derivative of d**3/2 + 3*d**2/2 + 6*d. Let p be i(-4). What is the remainder when (p/(-4))/(6/80) is divided by 8?
6
Let d be -4 - 21/9*-3. Suppose 0 = d*h + p - 11 - 14, -2*p + 10 = h. Let z(c) = 2*c - 10. Calculate the remainder when 29 is divided by z(h).
5
Let l(w) = -w + 50*w**2 + 0*w - 49*w**2 - 5 - 1. What is the remainder when 215 is divided by l(-5)?
23
Suppose 0 = 4*m + 5*b + 195, -5*m - 3*b - 248 = -b. Suppose -a - 30 - 77 = 0. Let c = m - a. What is the remainder when c is divided by 15?
12
Let b(m) = -8*m - 75. What is the remainder when b(-17) is divided by 23?
15
Let q = -10 - -14. Suppose 3*l - q*l = -26. Let x(c) = 52*c**2 - 16*c + 15. Calculate the remainder when x(1) is divided by l.
25
Let r be 2/(1/(37/(-2))). Let u(s) = s**3 - 9*s**2 - 8*s + 23. Let c be u(10). Let n = r + c. What is the remainder when 21 is divided by n?
3
Suppose 5*n + 438 - 103 = 0. Let o = -55 - n. Let u = 104 - 23. What is the remainder when u is divided by o?
9
Suppose -j + 2*a + 127 = 0, 21*j - 25*j + 520 = -2*a. Calculate the remainder when j is divided by 45.
41
Calculate the remainder when 124 is divided by 4 + ((-2)/(3 + -5) - -4).
7
Suppose -t - t - 3*b + 131 = 0, -2*t = 2*b - 130. Suppose -3*v = -t - 29. What is the remainder when v is divided by 11?
9
Let n(o) = 5*o - 2. Suppose -5*z = -4*t - 60, 2*z - 6*t + 2*t - 36 = 0. Calculate the remainder when n(4) is divided by z - (-3)/(-3)*1.
4
Let d(t) = 3 + 8*t - 13 + 5. What is the remainder when d(4) is divided by 8?
3
Suppose -9*p = -6*p + 3*s - 72, -5*p + 88 = -3*s. Calculate the remainder when 151 is divided by p.
11
Let s = -50 - -74. Let c = -679 + 746. Calculate the remainder when c is divided by s.
19
Suppose 4*w - 34 = -i, -w = 2*i - 40 - 28. Suppose 2*c - i = 150. Calculate the remainder when c is divided by 19.
16
Suppose 0 = -15*d + 10*d + 285. What is the remainder when 105 is divided by d?
48
Let k(l) = -2*l - 9. Let j(g) = g**2 + 15*g + 28. Let v be j(-12). Calculate the remainder when 25 is divided by k(v).
4
Suppose -7*w = -2*i - 2*w + 71, -4*w + 62 = 2*i. What is the remainder when 294 is divided by i?
30
Suppose 0 = 4*i - x + 11 + 138, -2*x - 62 = 2*i. Calculate the remainder when (-8)/i - ((-6695)/9)/5 is divided by 38.
35
Let l(w) = -2*w + 25. Let h = -16 - 2. Let f = -35 + 56. Calculate the remainder when l(h) is divided by f.
19
Suppose -1683 = -38*d + 21*d. What is the remainder when d is divided by 17?
14
Let j(q) = -q**2 + 12*q + 2. Let o(t) = 28*t**2 - t. What is the remainder when o(2) is divided by j(6)?
34
What is the remainder when (-4925)/(-20) + 15 - (-2)/(-8) is divided by 83?
12
Suppose -5*u + u = -16. Let m = 0 + 2. Suppose 0 = m*x + 4*t - 22, -x + t + 9 + 2 = 0. What is the remainder when x is divided by u?
3
Suppose -4*t = 9*a - 13*a + 60, -4*a - 3*t + 32 = 0. What is the remainder when 34 is divided by a?
1
Let v(z) = -z**2 - 21. Let x be v(0). Let s = x - -41. Suppose -3*k + s + 4 = 0. What is the remainder when 13 is divided by k?
5
Let a = -3 - 6. Let s be ((-35)/3)/(3/a). What is the remainder when 7 is divided by (s/15 + -1)*3?
3
Let h = 890 + -730. What is the remainder when h is divided by 41?
37
Let d = -1728 + 1736. Suppose 4*r + 16 = 0, -q - r + 6*r + 33 = 0. What is the remainder when (q/3)/((-1)/(-3)) is divided by d?
5
Suppose c = -3*f - 11 - 43, 0 = 5*c + 3*f + 246. Let u = -40 - c. What is the remainder when 28 is divided by u?
4
Let u = -945 - -1002. What is the remainder when u is divided by 6?
3
Suppose -4*u + u + 6 = 0, 3*y - 2*u - 101 = 0. Calculate the remainder when y is divided by (-2 - 0)*7/(-14)*12.
11
Suppose -2*a + 74 = -4*u, 0 = 4*a + 2*u - 117 - 11. Let k(s) = s**3 - s**2 - 2. Let b be k(2). What is the remainder when a is divided by (b/(-6))/((-1)/51)?
16
Let k(a) = -7*a**2 - 53*a + 27. What is the remainder when k(-6) is divided by 27?
12
Let t(w) = 3 - 7 - 8*w - 6*w. Calculate the remainder when t(-2) is divided by (7/(-2))/(2/(-8)).
10
Let k = 74 + -32. Let x = -3664 - -3688. Calculate the remainder when k is divided by x.
18
Let u = 20 + -25. Let j be 3 - (-1 + 2 + u). Let b(x) = x + 1. Calculate the remainder when 39 is divided by b(j).
7
What is the remainder when 1638 is divided by 5/(44/8 - 5)?
8
Let t = 6 - 16. Let v be 14/6 + t/(-15). What is the remainder when 17 is divided by 81/v*(-1)/(-3)?
8
Let f(q) = q**3 - 2*q**2 - 3*q - 2. Let x be f(4). Let r = -31 - -61. Calculate the remainder when r is divided by (48/10)/(x/60).
14
Calculate the remainder when 1/((-49)/28) - (-344)/14 is divided by (-91)/(-28)*8/2.
11
Suppose 28*l - 792 = -38*l. What is the remainder when 189 is divided by l?
9
Suppose -k + 5*d + 21 = 0, 2*d - 148 = -6*k + 3*k. What is the remainder when 229 is divided by k?
45
Let t(y) = 8*y - 252. Calculate the remainder when 76 is divided by t(34).
16
Let g = -9 + 3. Let z(c) = 2*c**2 + 3*c - 1. What is the remainder when z(g) is divided by 11?
9
Let v = 4 - -8. Suppose 0 = -3*z + h - 3, -3*z = -6*h + 2*h + v. Suppose -5*f - 2*y + z = -22, -4 = y. Calculate the remainder when 23 is divided by f.
5
Let a = -1094 - -1097. What is the remainder when (-1 + 2)*(8 - 1) is divided by a?
1
Suppose 2*s - 35*d + 31*d = 14, 28 = 2*s + 3*d. Calculate the remainder when 70 is divided by s.
4
Let s = 36 - -26. Let x be (4/(-5))/((-4)/10). Suppose -g = x*t - 17, 2*g - t + 2*t - 40 = 0. Calculate the remainder when s is divided by g.
20
What is the remainder when (-90)/135 + (-4040)/(-3) is divided by 19?
16
Let y = 852 + -633. What is the remainder when y is divided by 5?
4
Suppose 1348 = 2*f + 34*h - 33*h, -5*f = -2*h - 3361. What is the remainder when f is divided by 223?
4
Let a = -165 - -178. Let o = 6 + -3. Suppose -a = -o*f + 65. Calculate the remainder when f is divided by 9.
8
Let f be 70/42 + (-78)/9. What is the remainder when (1 + 88)/((-2)/(-9 - f)) is divided by 15?
14
Let n be (-36)/60 + (-446)/(-10). Suppose o - n = -3*o. Calculate the remainder when 42 is divided by o.
9
Let i(g) = 5*g. Suppose 54 = 7*h - 128. Suppose h + 25 = 3*c. Calculate the remainder when i(6) is divided by c.
13
Let h(q) = 4*q**2 - 4*q + 3. Let j be h(2). What is the remainder when (-1 - -3)*j - 0 is divided by 13?
9
Suppose x - 4 = -x. Suppose -x*w - 45 = -5*w. What is the remainder when (-295)/(-5)*((-10)/(-4) + (-36)/24) is divided by w?
14
Calculate the remainder when 133 is divided by (-3)/(-11) + 21392/616.
28
Suppose 5*n = 5*r - 202 + 67, 2*r - 3*n = 56. Let p(u) = 5*u - 1. Let x be p(5). Let c = x - 15. Calculate the remainder when r is divided by c.
7
Suppose -3*r + 0*g - g + 243 = 0, -r + 81 = -4*g. Calculate the remainder when r is divided by 48.
33
Suppose 5*x + 1479 = 3*z - 1171, 3*x = -z + 902. Let c be (-2)/6 - z/30. Let g = 90 + c. What is the remainder when g is divided by 21?
18
Suppose 0 = 7*m - 10*m + 18. Suppose -4*d = -m - 34. W