 + 27, -2*i - 33 = -6*i + h. Calculate the remainder when n is divided by i.
6
Let g(q) = q**2 - 25*q + 179. Calculate the remainder when g(7) is divided by 44.
9
Suppose 3*g - 5*g = -4. Let k(p) = -p + 8. Suppose -12 = -8*q + 4*q. What is the remainder when k(q) is divided by g?
1
Let x = 26 + -31. Let f(w) be the third derivative of -w**5/60 - 5*w**4/24 + 2*w**3 - w**2. Calculate the remainder when 35 is divided by f(x).
11
Suppose 4*x = -6*x + 20. Let y(h) = 8*h**2 - 6*h + 3. Suppose 0*n - 24 = -2*n. What is the remainder when y(x) is divided by n?
11
What is the remainder when (108/(-126))/(15/(-14))*10 is divided by 3?
2
Suppose -5*z + 0*z - 4 = -2*g, -3*g + 23 = z. Suppose 4*p - 2*q = 2*p + 10, q - 31 = -5*p. What is the remainder when (p + 0)*26/6 is divided by g?
5
Let n(q) = -9*q + 23. Let y be n(2). Suppose 15 = -3*t, t = -y*o + 4*t + 240. What is the remainder when o is divided by 18?
9
Suppose 0 = -4*w - 3*n + 379, w + n - 76 = 4*n. Suppose -m - 43 = -p, 0*m - 2 = -2*m. Let q = w - p. Calculate the remainder when q is divided by 10.
7
Suppose 0*s - 5*s - v = -86, -s = 5*v + 2. Let q(b) = -10*b + 12. Let a be -3*(-2 - -4 - 8/12). Calculate the remainder when q(a) is divided by s.
16
Let o(b) = 58*b**2 + 2*b + 1. Let t be o(-1). Suppose 71 + t = 4*a. Calculate the remainder when a is divided by 2 + 6*(-4)/6 - -9.
4
Let j(d) = -d**3 + 8*d**2 + 9*d - 37. What is the remainder when j(6) is divided by 14?
5
Let u be 104/18 - 8/(-36). Let l = -3 + u. Suppose 4*x - l = 1. What is the remainder when 2 is divided by x?
0
Suppose 0 = -2*x - 63 - 69. Calculate the remainder when (-1 - 1/10*-5)*-58 is divided by ((-4)/6)/(4/x).
7
Suppose -11*a + 5533 - 4642 = 0. Calculate the remainder when a is divided by (-8)/(-28) - (-388)/14.
25
Suppose -18*y = 12*y - 540. Let n = 9 - 5. Calculate the remainder when y is divided by n.
2
Let p = 16 - 10. Suppose 4*m = p*m - 36. Suppose 0 = 4*u - 2*q + q - 217, 2*u + 4*q - 86 = 0. What is the remainder when u is divided by m?
17
Suppose 3 = 6*u - 3*u, -4*r - 4*u = -328. Suppose 5*d = 3*t + 48, 5*t + 1 - r = -5*d. What is the remainder when 34 is divided by d?
10
Suppose 5*m = 2*s - 69, 2*s = -3*m + 17 + 44. What is the remainder when s is divided by 6?
2
Let h(s) = s**2 - 20*s - 11. Let d be h(21). Let u(q) = -q**2 + 10*q + 41. Calculate the remainder when u(d) is divided by 12.
5
Let d = 1 - -5. Suppose -u - 1 = 0, -2*h = -0*h + 3*u - 19. Let n(s) = s**3 - 10*s**2 - 8*s - 22. What is the remainder when n(h) is divided by d?
5
Suppose -p - b = -122, -2*b + 1 = -7. Suppose 0*w + 2*w = 3*f - p, -5*f + 188 = w. Let j = 45 - f. Calculate the remainder when 26 is divided by j.
5
Let m(u) = -2*u**3 + u**2 - 46*u - 8. What is the remainder when m(-6) is divided by 149?
140
Let f = -22 + 31. Suppose -135 - f = 6*b. Calculate the remainder when 51 is divided by ((-52)/3)/(b/36).
25
Let p = 14 - -1. Suppose k - 17 = -5*l, -3*l + p = 3*k - 0. Calculate the remainder when 32 is divided by 12 + -2 - l/1.
4
Calculate the remainder when 328 is divided by (-50)/(-75) - 199/(-3).
60
Calculate the remainder when 146 is divided by (-735)/(-11) - (-8)/308*7.
12
Let r = -10 + 14. Let b(m) = m**2 + m - 5. Suppose 0 = 8*f - 7*f - 2*v - 47, -3*f = 4*v - 111. What is the remainder when f is divided by b(r)?
11
Calculate the remainder when 231*(-11 + 315/27) is divided by 20.
14
Let t be ((-62)/(-6))/(-4 - (-219)/54). Suppose 3*z = -5*s + t, s = 4*z - 3*s - 280. Calculate the remainder when z is divided by 19.
10
Suppose -3*q + 126 = -q. Suppose -2*o = 3*x - 33, -4*x - q = -4*o - 7*x. Let t = -22 - -50. What is the remainder when t is divided by o?
13
Let c = 478 - 470. What is the remainder when 55 is divided by c?
7
Let d(k) = -23*k**3 - k**2. Let p be 9*-3*(-8)/(-36). Let r = -7 - p. What is the remainder when 86 is divided by d(r)?
20
Let z(f) = 1 + 628*f**2 + 2*f - 3*f - 614*f**2. What is the remainder when 54 is divided by z(1)?
12
Suppose 77*r - 61*r - 6352 = 0. What is the remainder when r is divided by 40?
37
Suppose 0 = -8*s + 7*s + 2*l + 89, s - 3*l - 88 = 0. Calculate the remainder when 177 is divided by s.
86
Suppose 19 = g + 15. Suppose 4*k - 524 = -4*w, 5*w + g*k - 643 = 3*k. Calculate the remainder when w is divided by 44.
40
Let o = -25 - -61. Calculate the remainder when 56 is divided by o.
20
Let t = 6869 + -6820. Let r(c) = c + 5. Let u = 13 + -8. What is the remainder when t is divided by r(u)?
9
Suppose 12 = -4*t, 3*u - 684 = 3*t - 168. Let z = -78 + u. What is the remainder when z is divided by 23?
22
Suppose 3*l = -2*c + 7 + 113, 2*c + l = 116. Calculate the remainder when c is divided by 32.
25
Let i(g) = -g**2 - 10*g + 4. Calculate the remainder when 105 is divided by i(-8).
5
Let h = 3049 - 2939. What is the remainder when h is divided by 68?
42
Let j(t) = -3*t**3 + t**2 + t + 1. Calculate the remainder when 95 is divided by j(-1).
3
Let n be ((-3)/(-1))/(57/323). Suppose -16*v + n = -15*v. Calculate the remainder when v is divided by 5.
2
Let w be (-162)/(-3)*(-2)/(-6). Suppose 0*a = 5*l + a - 47, -3*l - 4*a + w = 0. Calculate the remainder when 25 is divided by l.
5
Let x = -67 + 88. What is the remainder when 65 is divided by ((-26)/7 - (-8)/(-28)) + x?
14
Suppose 2*c = -2*c - 8. Let u be c*(-3)/2 - -53. Let a = -11 + u. What is the remainder when a is divided by 16?
13
Let c(p) = 2*p**2 + 14*p - 3. What is the remainder when 94 is divided by c(-9)?
28
Let z(q) = -23*q - 1. Suppose 3*u = -3*u + 36. Suppose -12*l + 516 = -u*l. What is the remainder when l is divided by z(-1)?
20
Suppose -89 = -7*l + 51. What is the remainder when (-1)/(-2)*(45 - 1) is divided by (8/l + 92/(-30))*-3?
6
Let h(r) = -48*r. Let j be h(7). Calculate the remainder when 75 is divided by -3 + (j/2)/(-4).
36
Suppose 2*p - 15*p + 26 = 0. Suppose p*b + 5*q - 54 = 0, q + 59 = 3*b + 3*q. Calculate the remainder when 64 is divided by b.
13
Let q(m) = m**3 + 9*m**2 - 3*m - 3. Let f be q(-8). Let i = -64 + f. Suppose 3*s + 12 - 255 = 0. Calculate the remainder when s is divided by i.
18
Suppose 2*a - 3*z + 497 = 7*a, 0 = 3*a - 4*z - 275. What is the remainder when a is divided by 31?
4
Suppose -154*d + 149*d = -135. What is the remainder when d is divided by 16?
11
Suppose 23*n - 1156 = 6*n. What is the remainder when 462 is divided by n?
54
Let t(o) = 2*o + 20. Let k be t(-13). What is the remainder when (-15)/6*((-456)/(-5))/k is divided by 11?
5
Suppose 29*o - 40*o + 3729 = 0. What is the remainder when o is divided by 4?
3
Suppose -5*m + 4*c + 227 = 0, -12*c + 13*c + 139 = 3*m. Calculate the remainder when 92 is divided by m.
45
Let a(j) = 3*j**3 - 10*j**2 - 6*j + 1. What is the remainder when a(5) is divided by 9?
6
Let u = 6 + -3. Suppose 20 = u*j + 2*j. Suppose a + j*a - 50 = 0. Calculate the remainder when 37 is divided by a.
7
Let w(v) be the first derivative of -v**3/3 - 23*v**2/2 + 33*v + 14. Calculate the remainder when w(-20) is divided by 14.
9
Suppose 4*w + 53 = 5. Let g = w - -16. What is the remainder when 6 is divided by g?
2
Suppose 0 = 49*q - 499 - 138. What is the remainder when 2064 is divided by q?
10
Suppose 0 = -3*h + 23 + 103. Calculate the remainder when h is divided by 11.
9
Let y(z) = 7*z**2 - 10*z - 17. What is the remainder when y(-5) is divided by 14?
12
Suppose 42*z - 1046 = 3868. Let p = -22 - -62. What is the remainder when z is divided by p?
37
Let r = 374 - 316. What is the remainder when 122 is divided by r?
6
Suppose 6*g - 21 = -g. Calculate the remainder when 24/4 - g/(-1) is divided by 6.
3
Suppose -6*x + 10*x = 2952. Suppose -x = 3*b - 42. Calculate the remainder when 114 is divided by ((-14)/(-56))/((-2)/b).
27
Let u be 0 + (1 - -23 - -3) + 1. Suppose -x + 10 = -3*l, -2*l + 5*l - u = -x. What is the remainder when x is divided by 6?
1
Let b be (4/(-12))/(-1)*12. Let g be 0 + 21 + (1 - b). What is the remainder when (-2002)/(-63) - (-4)/g is divided by 11?
10
Let g(o) = o**3 - 8*o**2 - 14*o + 66. What is the remainder when 250 is divided by g(9)?
19
Suppose -2*k + 33 = 5. Let v = -504 + 768. Suppose -5*u = -3*i + 191, -4*i + 2*u + v = -0*i. What is the remainder when i is divided by k?
11
Suppose 59*j - 60*j = -203. What is the remainder when j is divided by 51?
50
Let j be (-63)/81 - (-2)/(-9