et x(y) = -y**2 + 11*y + 16. Let b be x(12). Calculate the remainder when k(b) is divided by 10.
7
Let i = 34 + -19. Suppose g + 4*m = -0*m + 29, 4*m - 3 = g. Let q = i - g. What is the remainder when q is divided by 1?
0
Suppose -3*s = -d + 5, 3*d - 3*s - 20 = -d. Suppose 115 + d = 5*i. What is the remainder when 36 is divided by i?
12
Calculate the remainder when 131 is divided by (-813)/(-18) + 52/(-312).
41
Suppose 768 = -0*o + 4*o. Suppose -23*q - o = -26*q. Calculate the remainder when q is divided by 11.
9
Suppose 4*c = -272 + 1136. Suppose -5*r + 209 = -c. What is the remainder when r is divided by 4/(-26) + 288/13?
19
Let i(c) be the second derivative of c**5/20 - c**4/3 + 2*c**3/3 - 5*c**2/2 - c - 28. What is the remainder when i(4) is divided by 3?
2
Suppose 3*m - 14 = -5. Suppose -m*n = 1 - 40. What is the remainder when 23 is divided by n?
10
Let a(j) = -j**2 + 16*j + 5. Calculate the remainder when a(5) is divided by 31.
29
Let j be -2 + (-4)/12*-6. Let r(t) = t**3 + t**2 - 2*t + 47. Calculate the remainder when r(j) is divided by 10.
7
Let i(t) = -t + 6. Calculate the remainder when (-826)/(-9) + 8/36 is divided by i(-25).
30
Suppose 2*n - 8*t - 48 = -3*t, -72 = -2*n - t. Calculate the remainder when 92 is divided by n.
24
Suppose 3*o = -2*o + 20. Let g be (-1*3 + 30/12)*-142. Suppose v - 45 = -4*d, -o*d = -3*v - 0*d + g. What is the remainder when v is divided by 10?
9
Suppose 5*a = -10, -3*f + 5*a + 49 = 6*a. What is the remainder when 74 is divided by f?
6
Suppose 287*d + 315 = 296*d. What is the remainder when 46 is divided by d?
11
Suppose p = 2 + 7. Suppose -4 + 42 = -2*o - 3*a, o + 22 = -3*a. Let m = 22 + o. Calculate the remainder when p is divided by m.
3
Let v = -7 + 13. Let z be (-29152)/(-128) + (-2)/(-8). Calculate the remainder when 77 is divided by z/9 - (-4)/v.
25
Suppose -4*s = -s - 45. Suppose -7 = m + w, 4*m + w = 4*w - 28. Let t = m - -11. Calculate the remainder when s is divided by t.
3
Suppose 0 = -4*i + 4*w + 396, 2*i - 4*w - 169 = 37. Let l = i + -60. Calculate the remainder when 63 is divided by l.
28
Suppose 0 = -4*c + c + 57. Let o = c + -12. Suppose 2*n + 1 - 9 = 0. What is the remainder when o is divided by n?
3
Let s = -13 + 16. Let i be -3 + 264/s + -1. Suppose 0 = -x - 5*c + 3, 2*c = -9*x + 4*x + i. Calculate the remainder when 52 is divided by x.
16
Let b = 98 + -103. What is the remainder when 19 is divided by -1 + 8 + (-3 - b)?
1
Suppose 7*u + 5*u = 300. Let r(b) = 98*b - 1. Suppose 0 = -p + 3*p - 2. What is the remainder when r(p) is divided by u?
22
Let f(m) = -1. Let t(o) = 4*o**2 + 3*o - 1. Let c be (6/2 + -2)*3. Let s(k) = c*f(k) + t(k). What is the remainder when 66 is divided by s(-3)?
20
Let t(p) = p + 9. Let o be t(-7). Suppose 2*c = -o*w + c + 1, -5*w - 2*c + 5 = 0. Calculate the remainder when 23 is divided by w.
2
Calculate the remainder when (-198 + 1)/((-4)/(8 + -4)) is divided by 25.
22
Let l(f) = -f**3 + 6*f**2 + 2*f - 12. Let c be l(6). Suppose -o - 4 = c, 12 + 2 = b + o. Calculate the remainder when 33 is divided by b.
15
Suppose -j - 5 = 5*o, 2*j + 2*j - 2*o - 24 = 0. Let c = 13 - j. What is the remainder when 23 is divided by c?
7
Calculate the remainder when 98 is divided by 4/10 - ((-204)/15 - -5).
8
Suppose 7*c + 102 = 10*c. Let x = 46 - c. What is the remainder when 31 is divided by x?
7
Let g be 3*(1 + -10)/(-3). Suppose u = -g + 22. Suppose 260*t = 236*t + 120. What is the remainder when u is divided by t?
3
Let d(y) = -y**3 + 26*y**2 + 55*y + 35. Calculate the remainder when 40 is divided by d(28).
5
Suppose 27 = 8*l - 173. Let j(x) = -x**3 - 5*x**2 + 3*x - 5. What is the remainder when j(-7) is divided by l?
22
Calculate the remainder when 3/(1/((-2)/(-18)*111)) is divided by 18.
1
Let d be (-4 - -5)*-29*1. Let w = 32 + d. Suppose 3 = 2*f - 3. Calculate the remainder when w is divided by f.
0
Let y(h) = 3*h - 2. Let f be y(11). Suppose 2*w - 11 - f = 0. What is the remainder when 81 is divided by w?
18
Let g = 15 + 27. Let r = 85 - 78. Suppose r*y - g = -4*d + 4*y, 2*y = 3*d - 40. Calculate the remainder when 45 is divided by d.
9
Suppose 5*p - 18 = 11*p. Let q(m) = -3*m**3 + 4*m**2 - 3. What is the remainder when q(p) is divided by 30?
24
Suppose 0*u = -u + 69. Suppose 0 = -4*y + y + u. Let b(g) = -g**3 + 17*g**2 + 21*g - 351. Calculate the remainder when y is divided by b(17).
5
Let l(z) = 15*z - 142. Let a = 640 + -205. Calculate the remainder when 2/3*a/10 is divided by l(10).
5
Let k = 17 - -46. Suppose 31*x + k = 32*x. What is the remainder when x is divided by 18?
9
Let s(i) = -i**2 - 20*i - 42. Suppose -5*u - 24 = -c, -6*c + 40 = -c - 5*u. Calculate the remainder when s(-13) is divided by c.
1
Suppose 23*v = 15*v + 720. What is the remainder when v is divided by 31?
28
Suppose -23 = -g - 7. Let t(i) be the third derivative of i**5/20 + i**4/4 + i**3/3 + 12*i**2. What is the remainder when t(-5) is divided by g?
15
Let n(q) be the first derivative of -q**3/3 + 8*q**2 - 41*q + 32. Calculate the remainder when n(7) is divided by 14.
8
Let k = 14 + -6. Suppose -14 = -3*x + 2*h, -4*h - 18 - k = -5*x. Suppose -2*z + 39 + 49 = 5*r, 26 = z - x*r. What is the remainder when z is divided by 9?
7
Let n(k) = -3*k - 5. Let m be n(-4). What is the remainder when (-4)/14 - (1 + (-100)/m) is divided by 9?
4
Let p be 11*(11 - (-2 - 2)). Let a = p + -112. Calculate the remainder when a is divided by 14.
11
Suppose 0 = -3*u + 34 + 41. Let g = 27 - u. Suppose g*c - v + 2*v = 34, -3*v = -2*c + 26. What is the remainder when c is divided by 6?
4
Suppose -122*z = -1997 - 931. Calculate the remainder when z is divided by 1.
0
Suppose -4*u = o - 21, -o + 8*u - 4*u = -53. Suppose -34*c - 57 = -o*c. Suppose 0 = f - 26 - 47. What is the remainder when f is divided by c?
16
Let z be 2/(-2)*(-7)/(-7). Suppose -5*c = 5*t - 95, -t + 0 = 3*c - 23. What is the remainder when t is divided by (-9)/z + 5/(10/(-6))?
5
Suppose -289 = -8*q - 65. Let r = -3 - -51. What is the remainder when r is divided by q?
20
Suppose -5*r + 250 = 21*i - 23*i, 0 = 4*r + 5*i - 200. Calculate the remainder when 247 is divided by r.
47
Let c(l) = -l**2 + 94. Let s = -7 - -7. Suppose 168 = 7*r - 0*r. Calculate the remainder when c(s) is divided by r.
22
Suppose -7*x + x + 270 = 0. Calculate the remainder when 312 is divided by x.
42
Let m(w) = -2*w**2 + 48*w + 173. What is the remainder when m(27) is divided by 3?
2
Let t = 438 - 219. Calculate the remainder when t is divided by 13.
11
Let z(x) = -x**2 - 18*x - 27. Let k be z(-17). What is the remainder when (-3)/((6/10)/(-3)) is divided by k/(20/(-4)) - -3?
0
Let l = 9 + -5. Suppose 4*h + 88 = l*m, -2*h + 70 = 3*m - 7*h. Let i = 32 - m. What is the remainder when 47 is divided by i?
11
Let d = 466 + -452. Calculate the remainder when 33 is divided by d.
5
Let l(p) = -p**2 - 6*p + 13. Let t be l(-6). Suppose 15*v - 16 = t*v. Suppose c = -2*h - 3*c + 38, 5*c = -5. Calculate the remainder when h is divided by v.
5
Suppose 4*r + 20 = 4*b, -3*r - 4*b = -5*r - 12. Let a = 7 + r. Suppose a*g - 1 = 17. What is the remainder when 21 is divided by g?
3
Suppose -507*i - 99 = -516*i. What is the remainder when 63 is divided by i?
8
Suppose 5*n - 5154 = -b + 679, 2*n - 2332 = -b. What is the remainder when n is divided by 15?
12
Let s(l) = 6*l**2 - 41*l + 8. Calculate the remainder when 51 is divided by s(7).
6
Suppose -77*d = -767 - 3083. Calculate the remainder when 447 is divided by d.
47
Suppose -f - 16 = -0*f + 4*d, 3*d + 12 = 4*f. Suppose -2*m - 4*r + 24 = f, m + 0*r - 4 = -4*r. What is the remainder when 38 is divided by m?
18
Let v(z) = z**3 + 10*z**2 - 12*z - 6. Let l be v(-11). Suppose -l*c - 12 + 107 = 0. Suppose 3*h + 2*h = 375. What is the remainder when h is divided by c?
18
Let l = 13 - -7. Let o = l - 8. Suppose -10*s - 6 = -o*s. Calculate the remainder when 7 is divided by s.
1
Let h = 23 - 7. Suppose 3*a = -c - 0*c, -h = -2*c + 2*a. Suppose 0 = c*d - 3*d - 2*t - 233, 3*d - t = 229. Calculate the remainder when d is divided by 19.
18
Suppose -2502*t + 2505*t - 3522 = 0. Calculate the remainder when t is divided by 84.
82
Suppose 10*k - y = 7*k + 119, -5*y - 25 = 0. Calculate the remainder when 186 is divided by k.
34
Let c(d) = -d**3 - 6*d**2 - 6*d - 6. Let