What is the remainder when 5/((a/(-28))/(-2)) is divided by r(1)?
11
Let n(j) = j**3 - 13*j**2 + 3*j - 3. Let g be n(13). Let p = g + -31. What is the remainder when 8 is divided by p?
3
Calculate the remainder when 222 is divided by 9 - (4/(-16) + 72/32).
5
Suppose -q + 113 = -n, -2*n + 0*q - 235 = q. Let f = n + 135. Calculate the remainder when 169 is divided by f.
17
Suppose -3*p + 5*k + 150 = 4*k, -3*k = -3*p + 150. What is the remainder when 182 is divided by p?
32
Let c(q) be the third derivative of -q**4/24 + q**3/3 - 20*q**2. Calculate the remainder when 63 is divided by c(-20).
19
Let o = 24 - -35. Let z = o + -40. Calculate the remainder when 111 is divided by z.
16
Suppose 0 = -14*a - 63 + 917. What is the remainder when a is divided by 30?
1
Suppose 0*p + 5*p = 2*b - 12, -4*p - 5*b - 36 = 0. Let w = p + 24. Let h = -250 + 309. Calculate the remainder when h is divided by w.
19
Let w(s) = -s**2 + 40*s - 188. Calculate the remainder when w(32) is divided by 21.
5
Let d(h) = -3*h**2 - h + 23. Let k = 73 - 73. Calculate the remainder when 57 is divided by d(k).
11
Suppose 4*l - 1 = -405. Let r = l + 106. Calculate the remainder when 9 is divided by r.
4
Suppose -2*n = -22*n + 760. What is the remainder when 136 is divided by n?
22
Let y = -100 - -100. Suppose -t + 5*r = -62, t - r + y*r = 46. Calculate the remainder when 125 is divided by t.
41
Let b be ((-14)/5)/(4/20). Let z = -11 - b. Suppose 4 = -4*u, 61 - 237 = -z*h - 4*u. Calculate the remainder when h is divided by 21.
18
Let k(v) = v**3 - 11*v**2 - 9*v - 31. Let y be k(12). Let x(f) = -f**3 + 4*f**2 + 8*f - 8. What is the remainder when 20 is divided by x(y)?
6
Suppose 4*w - x - 29 = 0, -5*x = -x + 20. Let g(r) = r - 11. Let b(a) = -4*a - 5. Let f be b(-5). What is the remainder when w is divided by g(f)?
2
Let j = 22 + -15. Calculate the remainder when 34 is divided by j.
6
Let o = -11 - -11. Suppose 5*c - 8*l + 4*l = 51, o = 5*c - 3*l - 52. Let u = 30 + -10. Calculate the remainder when u is divided by c.
9
Let s be -1 - (6/(-4))/(1/(-2)). Calculate the remainder when 39 is divided by s/1*(5 - 8).
3
Let h = -146 - -161. Calculate the remainder when (1/(-5)*-56)/(3/h) is divided by 32.
24
Let q = -114 - -130. Calculate the remainder when q is divided by 4.
0
Suppose -48 = -5*n + 2*n. Suppose 11*q - 1308 = -q. Calculate the remainder when q is divided by n.
13
Suppose 8 = 4*o + 2*b - 0*b, 0 = -2*b. Suppose i - 20 = -4. Suppose -3*p = -4*s + i, 0 = 2*s + 3*p - 6*p - 2. Calculate the remainder when s is divided by o.
1
Let h(g) = 38*g. Let w(a) = a. Let j(l) = h(l) - 57*w(l). Suppose 5*r - 12 = -0*y - 4*y, -4*r + 10 = 3*y. Calculate the remainder when j(y) is divided by 8.
6
Let d = -105 - -138. What is the remainder when 130 is divided by d?
31
Let t be 8 - 3 - (12 - 7). Suppose t = g + 95 - 173. Let k = -50 + 70. What is the remainder when g is divided by k?
18
Let l be 2*2*(-3 - -4). Suppose 2*s - 4*h + 8 = 6*s, l*h = -3*s + 1. Calculate the remainder when 12 is divided by s.
5
Let u be 6/(-1) - -5 - -3. Suppose -4*l + 5*z + 199 = 0, 98 = u*l - z - 3*z. What is the remainder when l is divided by 11?
7
Let z(i) = i - 2. Let k = 224 + -220. Calculate the remainder when k is divided by z(3).
0
Let u(i) = 37*i**3 + 4*i**2 - 6*i + 1. What is the remainder when 89 is divided by u(1)?
17
Let q be -5*(0 + -1)*1. Suppose 2*l + 36 = q*l. Let d = 115 + -69. Calculate the remainder when d is divided by l.
10
Let z(v) = 9*v**2 - 7*v**2 + 5 + v - 5*v. What is the remainder when z(-6) is divided by 27?
20
Suppose z + 1 - 3 = 0. Let m(b) = 9*b + 102. Calculate the remainder when m(-11) is divided by z.
1
Suppose -3*n - 63 = -3*k, 2*k + 3*n - 5 = k. What is the remainder when 249 is divided by k?
11
Suppose h = 2*h - 1. Calculate the remainder when (-3537)/(-72) + h/(-8) is divided by 19.
11
Let q = -9 + 15. Suppose 2*w + q = 12. Suppose -3*d = -2*u + 27, 0 = w*u - 0*d - 2*d - 33. Calculate the remainder when 42 is divided by u.
6
Let g be (-2)/4*0/2. Let p = -3 - g. Calculate the remainder when 2 - p*(15 - 3) is divided by 8.
6
Let w = 18 - 11. What is the remainder when (60/(-100))/(7/(-56)*(-1)/(-10)) is divided by w?
6
Suppose 4*l - 41 = g, 5*l + 0*g = 3*g + 53. Let j = 1274 + -1256. Calculate the remainder when j is divided by l.
8
Let u = -62 - -24. Let l be 4/6*57/u. Calculate the remainder when l/(0 + (-5)/65) is divided by 7.
6
Suppose -5*d - 2*c = -919 + 212, -3*c - 298 = -2*d. What is the remainder when d is divided by 12?
11
Suppose 29*x = 24*x + 385. What is the remainder when x is divided by 39?
38
Let h(c) = 38*c**2 + 9*c + 6. What is the remainder when 209 is divided by h(-1)?
34
Suppose -60 = -10*d + 4*d. Suppose -4*c = c - d. What is the remainder when 13 is divided by c?
1
Let r(j) = 54*j - 229. What is the remainder when r(5) is divided by 7?
6
Let y be (-48)/(-9) + (-2)/6. Suppose 99 = -y*l + 529. Let u = 73 + -44. Calculate the remainder when l is divided by u.
28
Let a be (-1)/3*-3 - -212. Suppose a = 5*l - 2*l. Suppose -4*y - 5*z = -2*z - 141, 4*z = -3*y + 104. Calculate the remainder when l is divided by y.
35
Let x(d) = d**3 - 12*d**2 + 30*d - 13. Calculate the remainder when x(9) is divided by 2.
0
Let m be (-17*2)/((-3)/(-6)). Suppose 0 = -8*w + 10*w - 18. Let y = w - m. Calculate the remainder when y is divided by 20.
17
Suppose -2*p = -6, 0*p - 26 = 5*q - 2*p. Calculate the remainder when (-3)/q + 77/4 is divided by (-1 + (0 - 21))/(-2).
9
Let d(f) be the first derivative of -f**4/4 + 3*f**3 - f**2/2 + 21*f - 24. Calculate the remainder when 23 is divided by d(9).
11
Let m = -11006 + 11074. Calculate the remainder when m is divided by (-2 - 9*-1) + 2.
5
Let n(i) = i**2 + 25*i - 43. What is the remainder when n(-30) is divided by 42?
23
Suppose 5*l = 2*d + 4*l - 188, 284 = 3*d - l. Let k = 4771 + -4746. What is the remainder when d is divided by k?
21
Let n = -14 - -21. Let p(q) = 7*q**2 + 23*q + 4. Let i(j) = 3*j**2 + 11*j + 2. Let g(b) = -5*i(b) + 2*p(b). Calculate the remainder when g(-4) is divided by n.
4
Suppose -241 = -3*i - 39*n + 38*n, 0 = -2*n - 10. Let x = 106 + -64. What is the remainder when i is divided by x?
40
Let f(m) = -m**2 + 5*m - 2. Let u = 8 - 5. Let j be f(u). Suppose 0 = -j*v + 4*r + 80, 2*v - 4*r - 38 - 12 = 0. Calculate the remainder when v is divided by 4.
3
Suppose 3*a + 12 = 0, -3*y + y + 36 = -5*a. What is the remainder when 8 is divided by y?
0
Let o = -248 - -452. What is the remainder when o is divided by 41?
40
Let r(n) = n**3 + 7*n**2 - 17*n + 5. Let x = 33 - 13. Calculate the remainder when r(-8) is divided by x.
17
Let q = -3 - -3. Suppose -c - 2 + 6 = q. Suppose -3*p + 10 = 4*x - 7, 0 = -5*p - 4*x + 23. Calculate the remainder when c is divided by p.
1
Let v(y) = -y**3 - 16*y**2 - 16*y + 20. Let s be v(-15). Suppose 3*i = 3 + 6, 0 = -2*g - 3*i + s. Calculate the remainder when 48 is divided by g.
9
Calculate the remainder when (9 + 39/(-26))*22/3 is divided by 25.
5
Let v(k) = 29*k**2 - 5*k - 4. What is the remainder when 392 is divided by v(2)?
86
Let v(h) = -8*h - 3. Let c be 0/(4 + 0) + 2. Suppose 5*i - c = -22. What is the remainder when v(i) is divided by 10?
9
Suppose 4*b + 0*b = 100. Let u = -569 + 642. What is the remainder when u is divided by b?
23
Let t(o) = o**3 - 4*o**2 - o - 6. What is the remainder when t(6) is divided by 6*6/9*4?
12
Let z be (2/(-5))/(1/(-5)). Let o(y) = -y + 14. Let p be o(7). Suppose q - 4*n - 19 = 0, -40 = -3*q + z*n + p. What is the remainder when q is divided by 4?
3
Suppose 69*f - 70*f = 0. Let j(p) = -3*p + 53. Calculate the remainder when j(f) is divided by 14.
11
Suppose 9*d - y - 273 = 4*d, y - 277 = -5*d. What is the remainder when d is divided by 19?
17
Let b(a) = -44*a + 239. Calculate the remainder when b(-11) is divided by 11.
8
Suppose -55*t + 4*t + 3264 = 0. Calculate the remainder when 188 is divided by t.
60
Suppose b + 141 = 5*m - 84, 5*m + 4*b = 250. Calculate the remainder when 90 is divided by m.
44
Let u(m) = m**2 + 4*m - 38. What is the remainder when u(12) is divided by 26?
24
Let b(s) = s**2 + 18*s + 9. Let h = 5 - 3. Suppose h*y + y - 39 = 0. Calculate the remainder when b(-20) is divided by y.
10
Suppose 648 = -3*w + 9*w. Suppose -9*k - 9 + w = 0. Calculate the