 0*a = -4*s - 3*a + 285, -3*a = -4*s + 291. Calculate the remainder when 286 is divided by s.
70
Let w(k) = -k**3 - 9*k**2 + 8*k - 3. What is the remainder when 82 is divided by w(-10)?
14
Let m be 3/(-6)*-1 - 7413/(-14). Suppose -145 = 7*y - m. Calculate the remainder when y is divided by 14.
13
Suppose 426 = -76*h + 82*h. Calculate the remainder when h is divided by 38.
33
Let x(u) = 5*u**2 - 30*u + 164. Calculate the remainder when x(14) is divided by 14.
10
What is the remainder when (0 + 16)*(-7409)/(-239) is divided by 7?
6
Let u(k) = -9*k + 18. Let q(z) = -6*z + 12. Let h(v) = 8*q(v) - 5*u(v). Let c = 44 - 48. What is the remainder when h(c) is divided by 10?
8
Let l be (-7)/(-2) + 1/2. Let v(r) be the third derivative of r**6/120 - r**5/15 + r**3/3 - 7*r**2 - r. What is the remainder when 2 is divided by v(l)?
0
Let z(d) be the first derivative of 5*d**3/3 + 4*d**2 - 12*d - 24. What is the remainder when z(3) is divided by 12?
9
Suppose 792 = 168*h - 132*h. Calculate the remainder when 83 is divided by h.
17
Let h(w) = 6*w**2 + 13*w + 12. Calculate the remainder when 1228 is divided by h(-2).
8
Let x = 924 - 697. What is the remainder when x is divided by 101?
25
Suppose 218 = 31*x + 1. What is the remainder when x is divided by 5?
2
Let l(i) = -i**2 - 8*i + 11. Let h be l(-7). Suppose -h = -5*b + 17. Let a(g) = g**2 + 4*g + 11. What is the remainder when a(b) is divided by 30?
28
Let t be -13 + ((-5)/(-7) - (-6)/21). Let k(f) = -f**3 - 11*f**2 + 9*f + 3. What is the remainder when k(t) is divided by -1 + (9 - 2*-1)?
9
Let c(i) = -2*i**3 - 2*i**2 - 2*i + 2. Suppose -3*k + 5 = -10. Suppose -w = -2, 4*w = t - w - k. Calculate the remainder when c(-3) is divided by t.
14
Let o(k) = -148*k + 74*k + 26 + 70*k. Let t = 20 - 5. What is the remainder when o(-12) is divided by t?
14
Let r(y) = y**2 + 3*y + 2. Let z be r(-2). Calculate the remainder when 790/12 + z + (-2)/(-12) is divided by 17.
15
Let x(v) = v**3 - 6*v**2 + 4*v - 3. Let k be (-858)/(-55) - (-4)/10. Let t = 22 - k. What is the remainder when x(t) is divided by 6?
3
Suppose 582 = 44*w - 34. Calculate the remainder when 540 is divided by w.
8
Suppose 3*f = 4*i - 2*f - 256, -f = -4*i + 240. What is the remainder when i is divided by 6?
5
Calculate the remainder when 6/(5 + (-3384)/680) is divided by 29.
23
Suppose 0 = 3*d - 0*z - 3*z - 9, -3*z = 2*d - 6. Suppose 4*b = -5*u - 16 + 114, d*b - 6 = 0. What is the remainder when 89 is divided by u?
17
Suppose 0 = j - 9*j + 424. What is the remainder when 156 is divided by j?
50
Let l(f) = f**2 - 8*f + 14. Let d be l(6). Suppose -61 = d*b - 151. Calculate the remainder when b is divided by 12.
9
Let t(z) = z**3 - 14*z**2 + 15*z - 1. Let m = 6 - 9. Let u be -1 - m/((-9)/(-42)). What is the remainder when t(u) is divided by 13?
12
Let b = 84 - 80. Suppose -5*c + 2*q + 49 = 0, -c + 4*q + 3 - b = 0. Calculate the remainder when 51 is divided by c.
7
Let a = 20 - 36. Let p(x) = 15*x**2 + 2*x + 5. What is the remainder when p(-2) is divided by (0 + -3)/(3/a)?
13
Let t be (-18)/8 - (-1)/4. Let i = 10641 + -10600. Calculate the remainder when i is divided by (4/t)/((-1)/7).
13
Calculate the remainder when 111 is divided by 8/(-5) + 1 - 9240/(-525).
9
What is the remainder when 27 is divided by (((-280)/63)/(-4))/((-1)/(-18))?
7
Suppose o - 4*v + 68 = 5*o, -2*v = -o + 5. What is the remainder when (-5)/(-2)*(-40 - -60) is divided by o?
11
Let j = 29 - 19. Suppose j*v = 7*v - 27. Let u = 20 + v. Calculate the remainder when 40 is divided by u.
7
Suppose -8 = -d - 10. Calculate the remainder when 44 is divided by d + (1 - 1) + 18.
12
Let k(d) = d**3 - d**2 + d - 2. Let s be k(2). Suppose 0 = -s*y + 9*y + 140. Let p = y + 129. What is the remainder when p is divided by 34?
33
Suppose 14*z - 59 = 151. Calculate the remainder when 52 is divided by z.
7
Let z be 3 - -18*2/(-4). Let a be (63/(-6))/(3/z). Calculate the remainder when a - (2 + 3 + -2) is divided by 10.
8
Let f(z) = z**2 - 3*z - 6. Let w be f(4). What is the remainder when 41 is divided by -6*3*(3/w - -1)?
5
Let h(q) = 2*q**2 - 30*q - 26. What is the remainder when 208 is divided by h(17)?
40
Let r = 10 + -7. Suppose 0 = -q + 2*p - 2, -q + r*q + 3 = 3*p. Suppose q = -6*d + 3*d + 33. Calculate the remainder when d is divided by 7.
4
Suppose -4*j + 50 = -26. Let x = -202 + 276. Calculate the remainder when x is divided by j.
17
Let a = -24 + 36. Suppose -10*w - 4*m + 492 = -6*w, -5*w - m = -599. What is the remainder when w is divided by a?
11
Calculate the remainder when 24 + ((-40)/12 - 6/9) is divided by 8.
4
Suppose 144 - 1372 = -75*o + 722. Let l(r) = 7*r**2. What is the remainder when o is divided by l(-1)?
5
Suppose -157 = 2*i - 57. Let z be ((-56)/10)/(20/i). Let b = 43 - z. What is the remainder when b is divided by 10?
9
Calculate the remainder when ((-3582)/24*4)/((-6)/20) is divided by 83.
81
Suppose -y - 523 = -4*y - 5*h, y + h = 175. What is the remainder when 69 is divided by y/10 - 2/(-5)?
15
What is the remainder when 123 is divided by ((-24)/16)/((-9)/150)?
23
Let t be 1 - (-3 + (3 - -4)). Calculate the remainder when 7 is divided by (t + 28/6)*3.
2
Let y(p) = 3*p + 5. Calculate the remainder when 51 is divided by y(14).
4
Let k(x) = x**3 - x**2 + 59. Let l be ((-4)/7)/((-2)/14). Suppose l*y - y = 45. Calculate the remainder when k(0) is divided by y.
14
Let t = -856 + 915. Calculate the remainder when 521 is divided by t.
49
Let u(i) = 3*i - 27. Let h be u(12). Suppose b = 2*b - h. What is the remainder when 16 is divided by b?
7
Suppose -2*j + 3*n - 86 = -3*j, 160 = 2*j + 3*n. What is the remainder when j is divided by (3 - (-10)/(-5))*117/3?
35
Let x be (15/(-10))/(3/(-8)). Suppose -107 = -12*n + 145. Calculate the remainder when x/(-10) + 828/20 is divided by n.
20
Suppose 4*r - 70 = -4*k - 10, 3*k + r = 39. Calculate the remainder when 287 is divided by k.
11
Let d be -1 - (-2 + -1 + -34). Suppose -8*b + 4*b + d = 0. Let n = 26 - b. What is the remainder when 66 is divided by n?
15
Let k be (((-8)/3)/(-4))/((-8)/(-36)). Suppose -1 = k*r + 5*g, -3*g - 2 = 2*r + g. Calculate the remainder when 5 is divided by r.
2
Let z = 28 - 21. Let h be -2*z/(28/(-16)). Suppose h*r - 21 = 5*r. What is the remainder when 19 is divided by r?
5
Let u(d) = -d**2 + 28*d + 135. Calculate the remainder when u(30) is divided by (-198)/(-10) - 2/(-10).
15
Suppose 3*m - 2*z + 1 + 0 = 0, 0 = -3*m - 5*z + 34. Suppose m*g = 4 + 32. Let y = 29 - g. What is the remainder when 49 is divided by y?
15
Suppose -5*v + 176 + 89 = 0. Calculate the remainder when v is divided by 22.
9
Let q = -342 - -349. Suppose -5*n = -n - 68. Calculate the remainder when n is divided by q.
3
Let x(s) = 3 + 2*s**2 + 1 - 4*s - 7 + 6. Calculate the remainder when 73 is divided by x(4).
16
Let t(o) = 11*o - 36. Calculate the remainder when 125 is divided by t(9).
62
Suppose 12 + 14 = -4*u + 2*h, -h + 25 = -5*u. Let s be -2*(-3)/(-12)*-14. Calculate the remainder when 7 is divided by 0 + s/((-7)/u).
3
Let q = -140 + 450. Calculate the remainder when q is divided by 52.
50
Let m = -18 - -55. Suppose -49*l + 950 = 46*l. What is the remainder when m is divided by l?
7
Let k = 82 - 34. Suppose 0 = 3*b - 3*x - k, -15 = 5*x - 0*x. Suppose -3*a + 156 = -30. Calculate the remainder when a is divided by b.
10
Suppose 3*j - 6 = -2*v + 13, 5*v + 3*j = 52. Calculate the remainder when 84 is divided by v.
7
Suppose -6*u + 36 = -5*u. Let n be 12/(-3) + u + -2. Suppose -6*j + n = -j. Calculate the remainder when j is divided by 2.
0
Suppose 5*x = -23 + 83. Calculate the remainder when x is divided by ((-1 - 0)/1)/((-1)/9).
3
Let u = -36 + 33. Let m(r) = -2*r**3 - 3*r**2 + 7*r + 15. Calculate the remainder when 60 is divided by m(u).
18
Suppose -2*h = -7*n - 5109, -9*h = -13*h - 4*n + 10308. What is the remainder when h is divided by 23?
19
Let s = -12 + 16. Suppose -3*w = s*v - 3*v, v - w - 12 = 0. Calculate the remainder when 27 is divided by v.
0
Let k(v) = 1122*v. Let g be k(-1). What is the remainder when 61 is divided by ((-1)/3)/(2 - g/(-558))?
30
Let d(f) = -12*f - 19. Let v be d(-2). Suppose 4*x - 21 + 1 = 0, v*x = 3*c - 8. Calculate the remainder when 43 is divided by c.
10
Let t be -11*(-1)/(-1)*1. Let f be 14 - (-4 - -6)*1. 