r**2 + 7*r + 58. Let c(i) = 2*i**2 + 2*i - 7. What is the remainder when c(-6) is divided by u(11)?
11
Suppose 0 = -y + 72 + 49. What is the remainder when y is divided by 63?
58
Let w be ((-6)/(-12))/(2*(-3)/(-24)). Suppose -4*a + 122 - 42 = 4*g, 24 = w*g - 2*a. What is the remainder when g is divided by 5?
1
Let n be 4/12*6*3. Let r(y) = y**2 - 5*y - 1. Let o be r(n). Suppose -2*c - o*q = -10, -3*c + 20 = -2*c - 5*q. What is the remainder when 27 is divided by c?
7
Let s(r) = 27*r - 3. What is the remainder when s(2) is divided by (188/11 - 2/22) + 1?
15
What is the remainder when 175 is divided by ((7803/(-18))/(-17))/(3/4)?
5
Suppose 1316 = -q + 8*q. Suppose 0 = -3*i - i + q. Calculate the remainder when i is divided by 10.
7
Let i(f) = f**2 - 4*f + 1. Let h(s) = s**3 + 5*s**2 - 8*s - 5. Let j be h(-6). Calculate the remainder when (-10)/20 - 258/(-4) is divided by i(j).
20
Suppose 3*p - 3*x + 5*x - 94 = 0, 5*x = 3*p - 80. Suppose 0 = -18*m + 268 + 74. Calculate the remainder when p is divided by m.
11
Let i(x) = 109*x**2 - 6*x + 5. Calculate the remainder when i(2) is divided by 63.
51
Calculate the remainder when 6/(-11) - (-28512)/363 is divided by 2.
0
Let m(p) = -p - 2. Let j be ((-5)/2)/((-2)/(-4)). Let b be m(j). Suppose 3*n + 69 = 5*x, 0 = -b*x - 5*n - 1 + 22. What is the remainder when 44 is divided by x?
8
Calculate the remainder when 1423 is divided by (93 - 18)/(-2 + 2 - -1).
73
Let j(p) = 2*p**2 - 2*p - 24. Calculate the remainder when j(-4) is divided by 3/(-4)*(-2 + -10).
7
Let j(w) = w**3 - 6*w**2 + w - 5. Let l = -2 + 5. Suppose 0 = -2*o + 5*o - 2*z - 21, 0 = 2*o - l*z - 14. What is the remainder when j(o) is divided by 18?
15
Let c(f) = f**3 - 6*f**2 + 2*f + 9. Suppose -2*u - 5 = 4*m - 3*m, 5*u + 45 = 4*m. Suppose -2*a = -m*a + 21. What is the remainder when c(a) is divided by 25?
22
Let f = -52 - -73. What is the remainder when 482 is divided by f?
20
Let m(w) = w**2 - 24*w + 193. What is the remainder when 125 is divided by m(14)?
19
Let v(r) = -r**3 - 24*r**2 - 23*r + 36. Calculate the remainder when 141 is divided by v(-23).
33
Suppose -l - 57*l = -1914. Suppose 5*k = 39 + 6. What is the remainder when l is divided by k?
6
Let w = 613 + -433. Suppose w = 4*n + n. Let f = n + -32. What is the remainder when 8 is divided by f?
0
Suppose -2622 = -31*t + 8*t. Let o = -37 - -60. Calculate the remainder when t is divided by o.
22
Let c(v) = v**3 - 12*v**2 + 11*v + 4. Let a be c(11). What is the remainder when 66 is divided by (-1 - 0 - a) + 23?
12
Let a be 2 + -4 - (2 + -5). Let f be (-2)/(a*(-2)/8). Let t = 18 - f. Calculate the remainder when 17 is divided by t.
7
Let t be (1/(-4))/(-1) - (-27)/(-12). Calculate the remainder when (1/t)/((-8)/656) is divided by 14.
13
Suppose 11*p - 1755 = 1501. Calculate the remainder when p is divided by 15.
11
Let f(m) = 3*m**2 - 5*m - 14. Calculate the remainder when f(6) is divided by 35.
29
Suppose 5*q - 74 = 4*r, 5*q = -5*r + 44 + 66. Let x = 25 + 2. Suppose 0 = -5*y + 3*f + 5 + 36, 3*y - 3*f = x. Calculate the remainder when q is divided by y.
4
Let r = 59 - 33. What is the remainder when 77 is divided by r?
25
Calculate the remainder when (34/4)/(6/300*5) is divided by 55.
30
Let d(o) = -o**3 - 9*o**2 - 25*o - 16. What is the remainder when 35 is divided by d(-5)?
8
Suppose 2*r = 12 + 12. Let c be 195/r + (-1)/4. Suppose 60 = 4*l + 4*o, 0*l + 2*l - c = 5*o. What is the remainder when 24 is divided by l?
11
Let s = -8 + 11. Suppose 0 = -s*f + 9*f - 60. Let z(r) = -r**3 + 9*r**2 + 14*r + 1. Calculate the remainder when z(f) is divided by 21.
20
Let d be 6/4*-2 + -31. Let z = 46 + d. What is the remainder when 33 is divided by z?
9
Let m = 52 + -29. Suppose -132*v + 1283 + 33 = -38*v. Calculate the remainder when m is divided by v.
9
Suppose -6*a = -a. Suppose 4*t + 11 - 23 = a. What is the remainder when (-99)/(-2)*2/t is divided by 18?
15
Let x(c) be the first derivative of -c**2 - 12*c + 1. Let j(h) = h**3 - 6*h**2 - h + 22. Let u be j(5). What is the remainder when 5 is divided by x(u)?
1
Let j(h) = -52*h - 24. Let g(f) = 3*f + 3. Calculate the remainder when j(-7) is divided by g(18).
55
Suppose o - 3 = 3. Suppose 2*s + o = -4. Calculate the remainder when (-2)/s + 890/25 is divided by 13.
10
Let t be (-6 + 4)/(1/22). Let a = t - -66. Suppose 7 = 2*b - 5*r, 4*r = 3*b - 6*b + a. What is the remainder when 9 is divided by b?
3
Let b(c) = 5*c. Let m be b(-5). Let u = 76 + m. Suppose 495 = 4*v + u. Calculate the remainder when v is divided by 38.
35
Suppose 0 = 116*w - 6318 + 1678. What is the remainder when 371 is divided by w?
11
Let z(n) = -11*n**3 - 5*n**2 - 9*n - 4. What is the remainder when z(-2) is divided by 43?
39
Let a(h) = 2*h**2 + 5*h - 5. Let c be a(-8). Let b = c + -55. Suppose 549 = 2*x + 3*x - t, -t - 4 = 0. What is the remainder when x is divided by b?
25
Let p = -7 + 9. Suppose -p*g - 20 = -4*g. Let l(u) = -9*u + 1. Calculate the remainder when l(-2) is divided by g.
9
Suppose -25*l + 131 + 419 = 0. Calculate the remainder when 40 is divided by l.
18
Let n = 30 - 0. Suppose 11*y - 6*y - n = 0. What is the remainder when 9 is divided by y?
3
Suppose y = 4*c - 39, -c = 4*y - 7 - 24. What is the remainder when (-6)/(-3 + 6) + -2 - -46 is divided by c?
9
Let i(h) be the second derivative of -13*h**3/6 - h**2/2 + h. What is the remainder when i(-1) is divided by 3/6 + 1 + 33/6?
5
Suppose -b + 4*b = -v + 5, 5*v = -4*b + 3. Let y be (-2)/10 - 84/30. Let a = b - y. What is the remainder when a is divided by 2?
1
Let j(m) = -m**2 - m + 4. Let t be 2/(2 - 10/4). Let g be j(t). What is the remainder when 28 is divided by -1 - -3 - (-5 + g)?
13
Suppose y + 264 - 25 = 4*x, 0 = -x + 5*y + 74. Suppose -77 = -5*u - j, 2*u - 2*j - x = -21. Calculate the remainder when 22 is divided by u.
6
Let f(n) = 10*n - 1 - 16*n**3 - 5 + 3 + 15*n**3 - 4*n**2. What is the remainder when 25 is divided by f(-6)?
7
Let j = -64 - -119. Suppose -j = 7*r - 216. Calculate the remainder when r is divided by 5.
3
Let i(u) = -u - 7. Let j be i(11). Let y = j + 36. What is the remainder when y is divided by 5?
3
Suppose 162 = -l + 2*l. What is the remainder when l is divided by (-2)/((1 + -6*1)*(-2)/(-75))?
12
Suppose -14*c + 174 = 3*g - 17*c, -c = -2*g + 116. What is the remainder when 224 is divided by g?
50
Suppose -3*o - 2*o + 3*v = -6, 0 = -4*o - 4*v + 24. Calculate the remainder when 3 is divided by o.
0
Let c = -164 + 231. Let b(x) = 2*x**3 - 3*x**2 + 10*x - 10. Calculate the remainder when c is divided by b(2).
11
Calculate the remainder when (5/(-4) - -4)*516 is divided by 20.
19
Let v = 148 - 16. Suppose v = -3*s + 9*s. What is the remainder when 151 is divided by s?
19
Suppose 664*y - 5 = 663*y. Let t(b) = b - 1. Let j(p) = 5*p + 6. Let i(v) = j(v) - 6*t(v). What is the remainder when 19 is divided by i(y)?
5
Let x(g) = g**2 + 2*g + 12. Let v be x(0). Suppose v = 3*n - 9. What is the remainder when n is divided by 0*2/(-6) + 4?
3
Let l = 6050 - 6045. Let u(g) = -g**2 + 4*g + 7. Suppose 0 = 2*n - 0*n, -5*d + 2*n + 25 = 0. Calculate the remainder when l is divided by u(d).
1
Suppose 27 = 4*t - 13. Suppose -6 - t = -x + 2*a, 5*x - 2*a - 40 = 0. Suppose -x = 2*p - 14. Calculate the remainder when 14 is divided by p.
2
Let k be 10/(-4)*12/(-10). Suppose l + 18 = k*l. Calculate the remainder when 21 is divided by ((-45)/25)/(l/(-30)).
3
Suppose 0 = 3*z - 5*j - 162, -3*z + j + 223 = 61. Let n be 2328/84 - ((-4)/(-7))/(-2). Suppose -n = -2*b - 6. What is the remainder when z is divided by b?
10
Let f(n) = n**3 - 27*n**2 + 38*n - 156. Calculate the remainder when f(26) is divided by 68.
20
Let h = 28 + -20. Suppose 0 = -h*a - 23 + 135. Suppose -a = 3*f - 5*f. Calculate the remainder when 25 is divided by f.
4
Let w(t) = -t**2 + 6*t + 29. Suppose 0 = -l, -5*l - 35 = -5*v - l. What is the remainder when 41 is divided by w(v)?
19
Suppose 0 = -4*z - 0*z - 2*k + 224, 0 = -3*z - 2*k + 167. Suppose 29*l = 32*l - z. Let o = 51 + 5. Calculate the remainder when o is divided by l.
18
Suppose -2*o + 14 = -3*f, 2*o + f - 10 = -o. Suppose 22 = o*t - s, -4*s + 0*s + 14 = t. What is the remainder when 27 is divided by t?
3
Let z(s) = s**3 + 29*s**2 + 52*s - 48. Calculate the remainder when 21 is divided by z(-27)