is the remainder when 393 is divided by n?
33
Let h be (-3)/2*8*1. Suppose 4*y + 4 = 2*u, 2*u - 6*u - 3*y - 3 = 0. What is the remainder when (28 - u) + (-12)/h is divided by 15?
14
Let r(f) = f**3 - 20*f**2 + 2*f - 18. What is the remainder when 328 is divided by r(20)?
20
Let p = -15 + 64. Let t(x) = -16*x + 1. Calculate the remainder when p is divided by t(-1).
15
Let g be 2/((-8)/11) - 81/(-108). Calculate the remainder when g/(-15) - ((-6712)/60 - 0) is divided by 23.
20
Suppose 3*g = 5*a - g + 38, 0 = -5*a - 5*g - 20. Let v(l) = -l + 2. What is the remainder when a - (-135)/20 - (-5)/4 is divided by v(1)?
0
Suppose -z + 0*w + 3*w + 31 = 0, 21 = z - w. Calculate the remainder when 140 is divided by z.
12
Let q = 1903 - 57. What is the remainder when 2/(-7) - q/(-91) is divided by 3/4 + (-87)/(-12)?
4
Suppose -4*v + 5*n = 92, 41 + 41 = -5*v - 2*n. Calculate the remainder when 1/(6/v) + (-98)/(-2) is divided by 16.
14
Let k(d) = d**3 + 7*d**2 - 3*d + 1. Let f be k(-8). Let s = 46 - f. What is the remainder when s is divided by 11?
8
Let b(s) = 20*s**3 + s**2. Let x be b(1). Suppose 5*u - x = 2*u. What is the remainder when 1 + -22*3/(-6) is divided by u?
5
Suppose 2*h - 12 - 8 = 0. Let q be (-55)/(3*2/6). Let s = h - q. What is the remainder when s is divided by 22?
21
Suppose -2*g - 2*g + 1944 = 2*c, -2*g = -2*c + 1932. Calculate the remainder when 28 is divided by (-2)/(-9) - c/(-99).
8
Let d = -230 - -347. Calculate the remainder when d is divided by 20.
17
Suppose 6*a = -4*c + a + 660, -5*a + 830 = 5*c. What is the remainder when c is divided by 39?
14
Let z(b) = b**3 - 16*b**2 + 82*b - 71. What is the remainder when z(10) is divided by 9?
5
Suppose 34*w + 70 = 39*w. What is the remainder when w is divided by 9?
5
Let y be (-1)/((-9)/12)*57. Let o = -71 + y. Calculate the remainder when 13 is divided by o.
3
Let u = -186 - -96. Let r = -77 - u. Calculate the remainder when 64 is divided by r.
12
Let z = -14 - -2. Let o(g) = -g**3 - 12*g**2 + 5. Let m be o(z). Suppose -w = -m + 1. Calculate the remainder when 14 is divided by w.
2
Calculate the remainder when 21 - 29/(232/(-80)) is divided by 11.
9
Suppose 6*l - 3*l - 159 = -4*w, -4*l = 4*w - 156. Calculate the remainder when 100 is divided by w.
16
What is the remainder when (6/4)/((-93)/(-7688)) is divided by 37?
13
Let d(q) = -q**3 - 7*q**2 - 7*q + 3. Suppose -91 = 4*y + 37. Let i = 26 + y. Calculate the remainder when d(i) is divided by 4.
1
Let q be 6/(-39) - (-2285)/65. Let u = q - 27. What is the remainder when u is divided by 5?
3
Suppose 4*r - 5*a + 62 = 0, 4*r = -a - 113 + 39. Let q = r - -23. Calculate the remainder when 14 is divided by q.
4
Let x be (-3 - -3) + (-1 - -5). Suppose -5*r = -w - 228, 0 = -4*r - 5*w + x*w + 177. What is the remainder when r is divided by 23?
22
Let y(p) = -21*p + 155. Calculate the remainder when 179 is divided by y(5).
29
Suppose -2*z + 24 = -5*l + l, l + z + 9 = 0. Let k(h) = -h**2 - 9*h. Calculate the remainder when 56 + 0 - (l + 8) is divided by k(-7).
13
Let x = -28 + 283. What is the remainder when x is divided by 37?
33
Suppose -5*x = 4*p - 4*x - 21, -27 = -3*p + 3*x. Suppose -72 = -p*l + 2*l. Let h = -16 - -27. What is the remainder when l is divided by h?
7
Suppose -2*k = -3*k + 99. What is the remainder when k is divided by (-1)/2*1700/((-425)/17)?
31
Let g = -253 - -373. Let z = g + -33. What is the remainder when z is divided by 18?
15
Suppose 100*a - 540 = -8*a. Calculate the remainder when (-32)/(-6)*9/4 is divided by a.
2
Let k(d) = -2*d**2 + 8*d - 4. Let y be k(3). What is the remainder when ((-5)/(-10))/(y/312) is divided by 27?
24
Let y be 48/(-120) + 4/10. Let o(x) = x + 43. What is the remainder when o(y) is divided by 24?
19
Suppose 23*t - 1496 = -11*t. Calculate the remainder when t is divided by 26.
18
Let t be (-1)/(34/18 - 2). Suppose 0*u + u - t = 0. Let q(w) = 2*w**2 - 3*w - 6. Calculate the remainder when q(-3) is divided by u.
3
Suppose -4*t + 7*q = 5*q - 350, 4*t + 5*q - 343 = 0. What is the remainder when 257 is divided by t?
83
Suppose 2 = w - 115. Let u be ((-3)/(-6))/(1*(-2)/(-256)). Calculate the remainder when w is divided by 7/(14/u) - (-2)/(-1).
27
Let q = -6 + 29. Let p be (4 + 39/(-6))/(3/72). Let r = p + 126. What is the remainder when r is divided by q?
20
Let h = 0 + 22. Let j = -10 + h. What is the remainder when j is divided by 3?
0
Suppose 2*x + 4*t = 28, 3*t = 2*x + x - 60. Suppose 2*f - v - 21 = 0, -3 = -f - v + 3*v. Suppose 19 + f = b. What is the remainder when b is divided by x?
14
Let i(n) = -7*n**3 + 3*n**2 + 3*n + 2. Let y(l) = -l + 22. Let k = 2 - -3. Calculate the remainder when i(-2) is divided by y(k).
13
Let q(o) = 7*o**3 + o**2 + 9*o - 16. Calculate the remainder when 226 is divided by q(2).
40
Let g = -13 - -9. Let u = -2 - g. Suppose -2*h = -x + 2*h + 33, -u*x + 66 = -5*h. What is the remainder when x is divided by 9?
6
Calculate the remainder when 10 + 786/6 + 10 is divided by 13.
8
Let k(s) = s**2 - 3*s + 7. Calculate the remainder when 122 is divided by k(7).
17
Let n = -21 + 8. Let t(c) = -3*c - 24. Let d(s) = -s + 10. What is the remainder when t(n) is divided by d(6)?
3
Let o(s) = s**2 - 8*s - 4. Calculate the remainder when 253 is divided by o(9).
3
Let g(n) = 2*n**2 + 17*n. Let j be g(-9). Let q(f) = 15*f - 57. What is the remainder when q(j) is divided by 8?
6
Let b = 30 + 55. Calculate the remainder when b is divided by 11.
8
Suppose 4*u = 4*i + 28, -2*i + 7 = u + 2*i. Let a = 10 + u. Suppose -289 = -5*w + 46. Calculate the remainder when w is divided by a.
16
Suppose -f + 3*f - 4 = 0. Let n be f/3 - (-44)/33. Suppose 2*j - 42 = -n*w, 0*j = 5*j - 2*w - 84. Calculate the remainder when 52 is divided by j.
16
Let o(c) = 6*c**3 - 6*c**2 + c - 12. Calculate the remainder when o(3) is divided by 6.
3
Let h(n) = -n - 32. Let c(g) = 2*g + 63. Let x(z) = 6*c(z) + 11*h(z). Calculate the remainder when 31 is divided by x(-9).
14
Let n(d) = 7*d**2 - 10*d - 9. What is the remainder when n(-5) is divided by 55?
51
Suppose 0*f + 5*f = 4*y + 308, 2*f + 2*y = 116. Suppose -2*z + f + 44 = 0. Let u(i) = 3*i. What is the remainder when z is divided by u(9)?
25
Let m(w) = -42*w - 6. Suppose z - 12 = 4*z. Let i(t) = -4*t + 3. Calculate the remainder when m(-1) is divided by i(z).
17
Let j be (2 - (-192)/21) + 10/(-70). Suppose v + 30 = -4*v. Let s = j + v. Calculate the remainder when 9 is divided by s.
4
Suppose 3*v - 2*b = b - 3, b + 3 = 2*v. Let c(z) = 8*z**2 + 11. What is the remainder when c(v) is divided by 47?
45
Let g = -42 + 45. Let w(f) = 16*f + 9. What is the remainder when w(g) is divided by 20?
17
Suppose 3 = -3*m + 24. Let s(u) = 1 + 0*u**3 + u**2 - 2*u**2 + 2*u**2 - m*u**3. What is the remainder when s(-2) is divided by 16?
13
Let h be (-1)/(-2*((-15)/(-18) - 1)). Calculate the remainder when 2 is divided by (3/h)/((-2)/4*1).
0
Let w(d) = -d**3 + 4*d**2 - 3*d + 1. Let x = -39 + 52. Let a(t) = 3*t - 36. What is the remainder when a(x) is divided by w(2)?
0
Let n(s) = -s**3 - 12*s**2 - 18*s + 20. What is the remainder when n(-11) is divided by 20?
17
Let v(i) = -10*i - 38. What is the remainder when 152 is divided by v(-9)?
48
Calculate the remainder when ((-495)/12)/(-4*9/384) is divided by 49.
48
Let o be 1/(-4) + 11/44. Suppose o*j - 10 = 2*m + 4*j, 0 = 4*m + j - 15. Suppose -2*c - 18 = -54. What is the remainder when c is divided by m?
3
Suppose -8*u = -9*u + 7. Let w(s) = s**3 - 6*s**2 - 7*s + 3. Let j be w(7). Suppose g + 25 = -4*g, -4 = n + j*g. What is the remainder when n is divided by u?
4
Suppose -1323 = 263*p - 272*p. What is the remainder when p is divided by 45?
12
Suppose 29 = -3*i + 89. Let y = -2 - -5. Calculate the remainder when -3 + (138/10 - (-4)/i) is divided by y.
2
Suppose 0*n - 10 = 2*n, 4*x = 2*n - 446. Suppose 4*i + 87 = -s, 0 = 5*i + 3 + 12. Let z = s - x. What is the remainder when z is divided by 10?
9
What is the remainder when ((-14)/63*-24 - 6)*-168 is divided by 50?
12
Let v be 1*7/((-7)/(-4)). Suppose -v*m + 5*m - 5 = 0. Suppose -5*o + 11 = -4. Calculate the remainder when m is divided by o.
2
Suppose -2*i + 549 = 131. Calculate the remainder when i is divided by 35.
34
Suppose -5*i = 23 + 47. Let z = i + 26. Calculate the remainder when z is d