8. Let z(t) = t**3 + 2 - 3 + 2*t**2 + 3. What is the remainder when f is divided by z(2)?
15
Suppose -5*x = 2*x - 14. What is the remainder when 15 is divided by (0 - 0) + (3 - (-2)/x)?
3
Let j(x) = -4*x - 2*x + x + x**2 + x - 10. Suppose 2*w + w - 12 = 0, 3*z - 5*w = -11. What is the remainder when j(7) is divided by z?
2
Suppose -221*l + 80 = -216*l. Calculate the remainder when 398 is divided by l.
14
What is the remainder when 20 - 24 - (-2 - 64) is divided by 38?
24
Suppose -8*q + 91 + 69 = 0. Calculate the remainder when 34 is divided by q.
14
Calculate the remainder when 157 is divided by 100 - 105 - (-14 - (1 - 0)).
7
Suppose 563*q = 578*q - 195. Let r(z) = 12*z**2 - 3*z - 3. Suppose -3*a - 3*u - 3 = 0, -u - 3*u + 8 = -2*a. Calculate the remainder when r(a) is divided by q.
12
Suppose 0 = 2*y + 6*y - 96. Suppose 11*w - y*w = 5*l - 142, 2*w = 4. What is the remainder when l is divided by 21?
7
Let u = 22 - 20. Suppose u*w + 2*w = -4*b + 100, 2*b + 10 = w. What is the remainder when 77 is divided by w?
17
Let t(d) = d**3 - 20*d**2 + 6*d - 108. Calculate the remainder when 38 is divided by t(20).
2
Suppose -109 = -5*x + 376. What is the remainder when x is divided by 22?
9
Let r be ((-700)/(-112))/((-2)/(-40)). Suppose -5*w + r = 5*n, 4*w - 159 + 31 = -5*n. Calculate the remainder when 162 is divided by n.
22
Let g = -3 - -10. Suppose -11*i + g*i = -36. Calculate the remainder when 16 is divided by i.
7
Let o(c) = c**2 + 6*c + 2. Let f be o(-6). Suppose -58 - 16 = -f*x. Let q = -32 - -51. What is the remainder when x is divided by q?
18
Suppose z = -k + 47, -10*z + 5*z + 259 = -3*k. Calculate the remainder when 77 is divided by z.
27
Let g(i) = 16*i - 23. Let v be g(2). Suppose 0 = -14*n + 15*n - v. What is the remainder when 26 is divided by n?
8
What is the remainder when ((-1)/(-2))/((-64)/(-46848)) is divided by 46?
44
Let d = 34 - 30. Suppose z + 4*o = 2*z + 2, -z = d*o - 22. Calculate the remainder when z is divided by 7.
3
Suppose o + v = 37 - 10, 5*o - 5*v = 125. Suppose -4*u + z = -o, z = 5*z + 8. Suppose -x + 1 = -2. What is the remainder when u is divided by x?
0
Let x(d) = -5*d**2 - 31*d - 5. Let c be x(-5). Suppose 3*r - c - 11 = 0. What is the remainder when r is divided by 5?
2
Calculate the remainder when (1504/64)/(2/4) is divided by 4.
3
Suppose -173 = -2*u - 5*f, -319 = -4*u - 13*f + 12*f. What is the remainder when u is divided by 22?
13
Let s(w) = 12*w + 1. Suppose 0 = b - q + 1 + 1, 5*b = -2*q + 11. Let t = -39 + 43. What is the remainder when s(b) is divided by t?
1
Suppose -5*c = -4*y + 70, 12*y - 5*c = 13*y - 30. Calculate the remainder when 58 is divided by y.
18
What is the remainder when 62 is divided by ((-4)/(-12))/(-1 + (-296)/(-288))?
2
What is the remainder when (-23)/((-299)/3926) + 0 is divided by 86?
44
Let p(j) = -j**3 + 20*j**2 + 46*j - 33. Let u be p(22). Suppose 5*h - u = -3*n + 7, 2*h = -3*n. Calculate the remainder when 10 is divided by h.
4
Let z = 24 + -59. Calculate the remainder when 51 is divided by ((-130)/z)/((-2)/(-14)).
25
Let s = -23 - -23. Suppose s = -3*k - 3*a - 15, 4*k - 5*a = -k - 35. Calculate the remainder when 21 is divided by (-42)/k - (-1)/(-1).
3
Suppose -14 = -c - 2*r, 15*c - 52 = 10*c - 4*r. What is the remainder when 78 is divided by c?
6
Suppose -12 - 13 = -z. Let m = 447 - 227. Suppose -3*p = -2 - m. Calculate the remainder when p is divided by z.
24
Let b = 648 + -637. Calculate the remainder when 526 is divided by b.
9
Suppose 5 - 13 = -2*f. Suppose 0*o - 220 = -f*o. Calculate the remainder when o is divided by 29.
26
Let h(p) be the third derivative of p**6/40 - p**5/15 + p**4/6 - p**3/2 + 3*p**2. What is the remainder when (-4 - 0)*(-48 + -6)/9 is divided by h(2)?
11
Suppose -1132 + 196 = -8*h. Calculate the remainder when h is divided by 33.
18
Suppose -50*m + 35 = 3*x - 52*m, 9 = x + 2*m. Suppose 0 = i, -4*y - y + 380 = -5*i. What is the remainder when y is divided by x?
10
Let d(w) = 45*w - 698. Calculate the remainder when d(26) is divided by 232.
8
Suppose 69*w = 86*w - 1105. What is the remainder when 842 is divided by w?
62
Let o = 301 - 290. Calculate the remainder when 21 is divided by o.
10
Let w = 254 - -21. What is the remainder when w is divided by 23?
22
Suppose -2*v - 4 = 4*d + 8, -2*v = 5*d + 17. Suppose -z - 72 = -v*z. Calculate the remainder when z is divided by (-2 - 2/(4 + -6)) + 10.
6
Suppose -4*c + 8 = -0. Calculate the remainder when 1 is divided by (c/6)/((-11)/(-33)).
0
Suppose -18*z + 5265 = 21*z. What is the remainder when z is divided by 44?
3
Suppose 2*u - 133 + 13 = 0. Suppose -4*j - j = 3*c - u, c - 4*j - 20 = 0. What is the remainder when c is divided by 8?
4
Suppose -4*w - 2*n = 132, 2*n + 143 = -5*w + 5*n. Let b(r) = 38*r. What is the remainder when b(2) is divided by 1 - 1 - (5 + w)?
24
Suppose -x - 3*o = -o - 74, -4*x + 269 = -o. Let b(p) = p**2 - 13*p - 70. Let q be b(18). Let s = -2 + q. What is the remainder when x is divided by s?
14
What is the remainder when 28 is divided by ((-2)/3)/(((-48)/(-225))/(-8))?
3
Let p(h) = 16*h - 57. Calculate the remainder when p(5) is divided by 12.
11
Calculate the remainder when 348 is divided by 1*6*247/114.
10
Suppose -187*w = -19*w - 672. Suppose -5*n + 4*m = -2*n - 34, 4*n = -4*m + 36. Calculate the remainder when n is divided by w.
2
Let r be 5 + (-3 - (-8)/2). Suppose 46 = h - 3*z, -4*h + r*z + 134 = 4*z. What is the remainder when h is divided by 8?
7
What is the remainder when (-3523)/(-7) - 36/126 is divided by 22?
19
Suppose 6*y - 4*y = 6. Suppose 4*j - 80 = -y*p, 0*p - 55 = -3*j - p. Let d(v) = -v + 21. What is the remainder when 9 is divided by d(j)?
1
Let b = 238 + -222. Calculate the remainder when 541 is divided by b.
13
Let c(l) = -l**3 - l**2 + 3. Let f be c(0). Suppose -4*u - 74 = -v, f*u + 215 = 3*v - 2*u. Let h = -40 + v. What is the remainder when h is divided by 11?
8
Suppose 0 = d - 3*d + 54. Let n be (-3)/(-2)*320/48. Suppose 13*m + n - 88 = 0. Calculate the remainder when d is divided by m.
3
Let r(z) be the first derivative of z**3 + 2*z**2 - 5*z - 25. Suppose -2*p = -27 - 3. What is the remainder when r(4) is divided by p?
14
Let y = -10 - 23. Let l = y + 54. Calculate the remainder when 146 is divided by l.
20
Suppose f + 11 = 4*y, 3*f + 5 = y + 5*f. Suppose y*s = 12, -4*u + 64 = -0*s - s. What is the remainder when 33 is divided by u?
16
Let d = -3 + 49. Calculate the remainder when 135 is divided by d.
43
Let p = -2 - -62. Suppose -2*b - p = -5*b. Let h(i) = i**2 - i + 57. What is the remainder when h(0) is divided by b?
17
Let v(t) = -8*t**2 - 3*t - 3. Let q be ((-18)/8)/((-3)/(-8)). Let j be v(q). Calculate the remainder when 37 is divided by ((-2)/(-6))/((-7)/j).
11
Suppose 4*n = 14 + 6. What is the remainder when 61 is divided by 30 + (1 - n) + -5?
19
Suppose -3*k + 678 = -5*g, -2*g + 678 = 3*k - g. Calculate the remainder when k is divided by 57.
55
Suppose -4*h = 12, 53*d - 79 = 49*d + 5*h. Calculate the remainder when d is divided by 16.
0
Suppose o - 4*o + 12 = 0. Let p be o - (-2 + 2*-97). Suppose -3*g - g + p = 0. What is the remainder when g is divided by 13?
11
Let u = 84 + -41. What is the remainder when u is divided by (-2)/(-3)*(-10 + 43)?
21
Suppose -4*s + 3*z + 15 = 0, 4*s - 61 = z - 40. What is the remainder when 147 is divided by s?
3
Let j be -1*(-39)/(-15) + (-6)/15. Let a = 55 + -21. What is the remainder when a is divided by 200/12 + (-4)/j?
16
Let t = 33 + -17. Let o = 7154 + -7114. Calculate the remainder when o is divided by t.
8
Let t be ((6 - 16)/1)/(2*1). Calculate the remainder when (156/(-15))/(t/25) is divided by 18.
16
Let g(d) = -d**2 - 2*d + 15. Let s be g(-5). Suppose -3*p - u + 146 = -7, s = -4*p - u + 204. Calculate the remainder when p is divided by 27.
24
Calculate the remainder when 315 - (-6 - -3 - -7) is divided by 35.
31
Suppose -22*r + 264 + 12 = -428. Suppose 5 = 3*u - 4*f - 66, -3*u = 5*f - 26. Calculate the remainder when r is divided by u.
15
Suppose -153 = -g - 3*f + 1564, 0 = -3*f - 6. What is the remainder when g is divided by 115?
113
Let d be -1 + (2 - (4 + -3)). Suppose 4*v - 2 - 34 = d. Calculate the remainder when v is divided by 6.
3
Let v(c) = c**2 - 7*c + 24. What is the remainder when 55 is divided 