 i. Let t(o) = -8*o. Let x(b) = -2*b**3 - 15*b**2 - 6*b + 4. Let u be x(-7). Calculate the remainder when t(u) is divided by i.
11
Let n = -1556 + 1621. What is the remainder when 322 is divided by n?
62
Let q(f) = -f - 29. Let n be q(-11). Calculate the remainder when 1724/28 - n/42 is divided by 22.
18
Suppose 0 = -2*h + 2*h - 4*h. Suppose 0 = 3*d - 3*j - 255, 4*d - j - j - 350 = h. Calculate the remainder when d is divided by 24.
18
Let n = 385 - 197. What is the remainder when n is divided by 64?
60
Let h(b) be the third derivative of b**4/24 + 14*b**3/3 + 10*b**2. Calculate the remainder when h(0) is divided by 5.
3
Suppose 32 = r + 30. Suppose r*q + 0*q - u = 39, u + 81 = 4*q. What is the remainder when q is divided by 9?
3
Let o(i) = -i**3 + 35*i**2 - 67*i + 53. What is the remainder when 55 is divided by o(33)?
15
Suppose 5*t - 681 = -2*z, -4*z + 7*z - 1028 = -t. What is the remainder when z is divided by 15?
13
Let d be -86 + (3/(-7) - (-27)/63). Let v = 100 + d. Calculate the remainder when 95 is divided by v.
11
Suppose 0 = 2*f + 2*w - 0*w - 6, -2*w - 4 = -3*f. Suppose -4*c + 76 = 2*b - 5*c, 0 = -f*b - c + 76. What is the remainder when b is divided by 10?
8
Let b(f) = -13*f + 398. Calculate the remainder when b(28) is divided by 24/10*(-180)/(-27).
2
Let i(w) = w**2 - w - 2. Let r be ((-6 - -2) + 7)*(-1)/1. What is the remainder when i(r) is divided by 2?
0
Let w(l) = 8*l + 22. Let p be w(-3). Suppose -25 = -4*y - 1. What is the remainder when 10 is divided by (6 - 8)/(p/y)?
4
Suppose -4*b + 4*c + 44 = 0, 0*b - c + 10 = 2*b. Suppose 6 = i - b. Calculate the remainder when 25 is divided by i.
12
Suppose 2*o - 1025 = -5*w, 3*w - o - 769 + 154 = 0. What is the remainder when w is divided by 49?
9
Suppose -556 = -5*u - 2*j, 2*j - 224 - 220 = -4*u. Calculate the remainder when u is divided by 6/(-5)*(6 - 31).
22
Calculate the remainder when 23 is divided by (-63)/(-14) + 2/(-4) + 10.
9
Suppose -5*v = -2*x - 25, -2*v + 9 = -3*x - 12. What is the remainder when 43 is divided by (x + 84/16)*44?
10
Suppose -4*u - 228 = -4*z, 2*u + u + 67 = z. Suppose 0 = 7*x - 60 + 4. Let t(v) = -v**2 + 10*v + 11. What is the remainder when z is divided by t(x)?
25
Calculate the remainder when 97 is divided by 716/14 + 36/(-252).
46
Suppose -111*s + 127*s = 30736. Calculate the remainder when s is divided by 13.
10
Suppose 5*x - 143 = 4*s - 8, -2*x - 3*s + 54 = 0. Suppose a = 50 + x. What is the remainder when a is divided by 26?
25
Calculate the remainder when 21 is divided by 12 - (0 - -6)/(-2).
6
Calculate the remainder when 2 - 39*4/(-4) is divided by 14.
13
Suppose -2*r + 4*u = -348, 2*r + 512 = 5*r + 4*u. Calculate the remainder when r is divided by 58.
56
Let o = 53 - 46. Suppose -27 + 139 = o*s. Calculate the remainder when 47 is divided by s.
15
What is the remainder when (-61)/(-8) - 8 - 14745/(-24) is divided by 126?
110
Suppose -3*o + 4*a - 31 = 0, 6*a = 2*o + 5*a + 14. Let g = o + 13. Let v(s) = -s**3 + 14. Calculate the remainder when v(0) is divided by g.
6
Let c = 56 + -53. Suppose 0 = 2*y - 2*a - 2*a - 20, -a + 51 = 3*y. What is the remainder when y is divided by (9 - c) + (-5 - -5)?
4
Let w(i) be the third derivative of -i**5/60 + 7*i**4/24 + 8*i**3/3 - 35*i**2. Calculate the remainder when w(8) is divided by 3.
2
Suppose 5 = 13*s - 21. Suppose -j + 24 = 2*b, -3*b = s*j - 29 - 7. Calculate the remainder when 81 is divided by b.
9
Let a = -7 - -10. Let r = a + -5. What is the remainder when 49 is divided by (6 - 8)*13/r?
10
Suppose 0 = 2*f + 5*u + 135, -3*u = -0*f + 2*f + 129. Let q = -36 - f. What is the remainder when q is divided by 5?
4
Let c = -44 - -70. Let j(g) = -283*g + 667. What is the remainder when j(2) is divided by c?
23
Suppose -4*k - z = -29, 3*k - 5*k + 2*z = -22. Suppose 0 = -5*w + 5*t, 3*w + 2*t - t - 12 = 0. Calculate the remainder when k is divided by w.
2
Let m = 2 - 2. Suppose -20*w - 152 = -28*w. Calculate the remainder when 78 is divided by -3*(1 + m) + w.
14
Suppose 2*o = -t - 201 + 1304, 4*o - 2210 = 2*t. Calculate the remainder when o is divided by 182.
6
Let w = -447 - -486. Calculate the remainder when 154 is divided by w.
37
Suppose -28*v = -2*v - 1612. What is the remainder when v is divided by 42?
20
Let j(l) = -5*l - 15. What is the remainder when j(-10) is divided by ((-4)/(-3))/((-19)/(-9) - 2)?
11
Let l = 1321 - 1274. What is the remainder when 183 is divided by l?
42
Let j = 39 - 40. Let z = j + 12. Let u = 6 + z. Calculate the remainder when 48 is divided by u.
14
Suppose -4*l - 188 = -700. Let p(v) = -v**3 - 12*v**2 - 9*v + 35. Calculate the remainder when l is divided by p(-11).
11
Suppose -3*o + 11 + 13 = 0. Calculate the remainder when 413 is divided by o.
5
Suppose -h = 3*o + o - 449, -2*h + 3*o + 920 = 0. What is the remainder when h is divided by 20?
17
Suppose -3 = -n - 0*n. Let d(z) be the third derivative of z**4/3 - 2*z**3/3 - 6*z**2. What is the remainder when 39 is divided by d(n)?
19
Let b(y) = -y + 32. Let m be b(-19). Let n = m - 39. What is the remainder when 22 is divided by n?
10
Suppose -o + 7 = -3*p + 5*p, 4*o - p = 10. Suppose 3*j + j - o*m = 180, 0 = 5*j - 5*m - 220. What is the remainder when j is divided by 5?
3
Suppose 9*q = -8*q - 544. Let r = q - -93. What is the remainder when r is divided by 22?
17
Suppose 3*t = -0*t + 12. Let y = 8 + t. Suppose q - 5*l - 4 = y, 3*q - 5*l - 28 = 0. Calculate the remainder when 11 is divided by q.
5
Let t = -157 + 263. Calculate the remainder when t is divided by 19.
11
Let z(v) = 2*v**3 - 8*v**2 - 11*v - 8. Calculate the remainder when z(7) is divided by 106*(-12)/96*(-3 + -1).
50
Let l(b) = b**2 - 40*b - 55. What is the remainder when l(42) is divided by 8?
5
Suppose -2*i + 13 = 2*p - 93, -245 = -5*i - p. What is the remainder when (i/40)/(2/35) is divided by 6?
3
Suppose -34*i + 43*i = 45. Suppose 3*y - 6 = 30. What is the remainder when y is divided by i?
2
Let s = -66 + 129. Suppose -4*u - 5*b - s = 0, -4*u = u + 2*b + 83. Let z = 27 + u. What is the remainder when z is divided by 6?
4
Let q = 38 + -37. Let t be (6/(-4))/(q/(-12)). Calculate the remainder when 41 is divided by -16 + 12 + t*1.
13
Suppose s + 113 = 4*j, -3*s - 20 = s. Suppose 2*k - 67 = -4*x + 81, 0 = 4*k + 3*x - 311. Calculate the remainder when k is divided by j.
26
Let z(q) be the first derivative of -q**3/3 + 5*q**2 + 17*q + 51. Calculate the remainder when 23 is divided by z(11).
5
Let o(i) = i**3 + 4*i**2 - i - 6. Let g = 56 + -53. Calculate the remainder when o(g) is divided by 19.
16
Suppose 9*g + 75 = 8*g. Let d = g - -89. What is the remainder when 40 is divided by d?
12
Let l be ((-6)/(-4))/(9/(-48)). What is the remainder when 19 + (l - (-4 - 0)) is divided by 8?
7
Let f(d) = -d**2 - 2*d + 17. Let p be f(-7). Let z = -22 - p. Let x = z + 75. Calculate the remainder when x is divided by 18.
17
Let n = -3 + 8. Let m(a) = 168 - 162 - 4*a**2 - 11*a + n*a**2. Calculate the remainder when m(11) is divided by 4.
2
Let u(k) = 37*k + 203. What is the remainder when u(20) is divided by 16?
15
Suppose -4*c - 16*l + 15*l + 180 = 0, 3*l = c - 58. Calculate the remainder when c is divided by 24.
22
Let x = -873 - -951. Let w = 0 - -1. Calculate the remainder when x is divided by w + -1 + 27*1.
24
Let i(w) = w**3 + 2*w**2 - 3*w. Let g be i(-3). Suppose 3 = -2*k - 7, -3*h + 4*k - 22 = 0. What is the remainder when h/(-2) - (g - 0) is divided by 3?
1
Let l(p) = p**3 - 4*p**2 + 17*p - 10. What is the remainder when l(3) is divided by 25?
7
Let c = -253 + 268. What is the remainder when ((-6)/4)/(9/(-168)) is divided by c?
13
What is the remainder when (-1054)/(-10) - (3 - 72/20) is divided by 12?
10
Let i(s) = s - 4. Let z be i(4). Suppose -m + 3*b + 10 = 0, 2*b - 3*b = z. What is the remainder when 14/14 + -1 + m is divided by 4?
2
Let q(r) = r**3 - 6*r**2 - 15*r + 5. Let x be q(8). Suppose p - 2 = x. Calculate the remainder when 59 is divided by p.
14
Suppose 4*f = 2*f + 2*i + 502, 4*i = 3*f - 750. What is the remainder when f is divided by 43?
39
Let d(z) = -24*z**3 - z**2 - 3*z. Calculate the remainder when 76 is divided by d(-1).
24
Suppose 5*d - 8*a - 240 = -6*a, -5*d + 230 = -4*a. What is the remainder when d is divided by 17?
16
Let z = 26 + -24. Let n = z - -1. S