at is the remainder when n is divided by 15?
12
Let l(c) = c + 2. Let i be l(8). Let h be (-14)/(-35) + 16/i. Suppose -5*g + 27 = v - 15, -h*g + 30 = v. Calculate the remainder when 42 is divided by v.
20
Suppose 0*g + 4*g - 20 = 5*u, 2*g = -u + 24. Let l(p) = -3 - 4 - 8*p + 11*p**3 + 5*p**2 - 8*p**2 - 12*p**3. Calculate the remainder when l(-3) is divided by g.
7
Let k be 35/21 - (-2)/6. Suppose k*i = -i + 6. Suppose i*r - 180 = -2*u, -99 = -4*u - 2*r + 259. What is the remainder when u is divided by 23?
20
Let i(z) = z**3 - 7*z**2 + 2*z + 18. What is the remainder when i(7) is divided by 14?
4
Suppose -25*a = -12*a - 1729. What is the remainder when a is divided by 23?
18
Calculate the remainder when -2*1945/(-15) - (-8)/(-6) is divided by 26.
24
Let x = 214 - 178. What is the remainder when x is divided by 10?
6
Let x(f) = -f**3 - 16*f**2 + 56*f - 18. What is the remainder when 6 is divided by x(-19)?
0
Suppose -2*d + 7 = -33. Calculate the remainder when ((-6)/4)/(3/(-64)) is divided by d.
12
Suppose -5*w + 2 = -2*w + 2*s, -s + 11 = 4*w. Suppose 2*u - 50 = 3*h, -u + 8 = 3*h - 17. What is the remainder when u is divided by w?
1
Let w = 15 - 15. Suppose -3*h - p = 4*p - 27, w = 2*h - p - 5. Calculate the remainder when 13 is divided by h.
1
Suppose r = -3*r - 3*k + 376, -2*k = -3*r + 265. What is the remainder when 180 is divided by r?
89
Calculate the remainder when 58/(-8)*23/(345/(-360)) is divided by 48.
30
Suppose -3*t = -4*t + 33. What is the remainder when 43 is divided by ((-16)/12)/((-2)/t)?
21
Suppose 213 = 3*n - 69. Suppose -2*p + 92 = -n. Suppose 4*m - u - p = -0*m, -90 = -5*m - 4*u. What is the remainder when 43 is divided by m?
21
Let y(u) = u**3 + 2*u**2 + 7. Let d be y(-3). What is the remainder when 51/7 - d/(-7) is divided by 3?
1
Suppose 0 = -4*n + w + 4, 8*n = 11*n - 2*w - 8. Let q be (-1)/(-4) - (-95)/20. Suppose n = -q*a + 116 + 4. Calculate the remainder when a is divided by 9.
6
Suppose -2*v = -17 - 59. Calculate the remainder when 185 is divided by v.
33
Let h(z) = -z**3 + 15*z**2 - 16*z - 8. What is the remainder when h(9) is divided by 24?
22
Let q(i) = i**3 + 8*i**2 - 3*i + 4. Let h be q(-8). Suppose -4*t = -2*f + h, f + 3*f = -5*t + 69. Calculate the remainder when 39 is divided by f.
7
Suppose -2*s = -2*h + 25 + 27, 0 = -2*h - 5*s + 45. Calculate the remainder when h is divided by 5.
0
Let p(d) = -d**3 - 22*d**2 - 27*d - 96. What is the remainder when p(-21) is divided by 9?
3
Let x = 38 + -54. Let d = x + 31. Let b = 92 - 49. Calculate the remainder when b is divided by d.
13
Let c = -1124 - -1159. Let a = 50 + -31. What is the remainder when c is divided by a?
16
Let v be 10*(-3 - (-63)/15). Let w be ((-8)/v)/((-2)/6). Let b(l) = 3*l**2 + 4*l - 3. What is the remainder when 66 is divided by b(w)?
15
Suppose -5*m = -222 + 67. Calculate the remainder when (0 - (-11 + 0))*(-25 + 36) is divided by m.
28
Let d(c) = 31*c - 59. Calculate the remainder when d(19) is divided by 59.
58
Let z = 129 - 92. Calculate the remainder when 110 is divided by z.
36
Calculate the remainder when 44/(-55) + (-9876)/(-20) is divided by 9.
7
Let x = 2 + 21. Let s(g) = 30*g - 6. Let k be s(-3). Let i = 186 + k. What is the remainder when i is divided by x?
21
Suppose -2*i + 5*q = -67, 5*i - 2*q = -7*q + 255. What is the remainder when 362 is divided by i?
40
Suppose 0 = 2*h - 5*r + 21, 4*h - 26*r + 21*r = -17. Calculate the remainder when h is divided by 2.
0
Suppose 38 = -17*q - 2*q. Calculate the remainder when ((-5)/((-15)/2))/(q/(-87)) is divided by 16.
13
Suppose 0 = 5*p + 3*b - 784, 0 = -2*p + 4*b + 76 + 248. Calculate the remainder when p is divided by 60.
38
Suppose 0 = 6*o - 197 - 235. Calculate the remainder when (6/(-8) - -2)/(2/o) is divided by 8.
5
Suppose 0 = -2*t + 5*y + 222, t - 2*y - 3*y - 121 = 0. Let o(g) = 2*g - 2. Let z be o(9). Calculate the remainder when t is divided by 520/(-16)*z/(-20).
23
Suppose -4*o = -8, -4*o - 667 = -11*q + 6*q. Calculate the remainder when q is divided by 40.
15
Suppose -3*z + 33*z = 300. What is the remainder when 97 is divided by z?
7
Suppose -13 = -2*w + 13. Let r = -1763 + 1799. What is the remainder when r is divided by w?
10
Let x be (122/(-4))/(4/8) + -3. Let b = 104 + x. Calculate the remainder when 78 is divided by b.
38
Let n = 15 + -10. Suppose -q = n*z - 151, 0 = 2*z - z - 4*q - 47. Let t = 70 - -53. What is the remainder when t is divided by z?
30
Suppose 177 = z - 7*n + 9*n, 0 = -3*z + 2*n + 531. Calculate the remainder when z is divided by 53.
18
Let t(q) = q**2 - 8*q - 14. What is the remainder when 81 is divided by t(12)?
13
Let g(b) = 7*b + 34. Let h(c) = 4*c + 17. Let o(p) = 4*g(p) - 9*h(p). What is the remainder when 88 is divided by o(-5)?
19
Let i(d) = d**3 - 42*d**2 + 38*d + 164. What is the remainder when i(41) is divided by 26?
15
Calculate the remainder when -10 + (-29709)/(-9) + -13 is divided by 20.
18
Let c = 1757 - 1142. Calculate the remainder when c is divided by 23.
17
Let v(p) = p**2 - 4*p - 7. Let x be v(6). What is the remainder when 172 is divided by (x - 10)/(-2*2/20)?
22
Suppose -v - v = -6. Suppose v*t = t. Suppose 5*y - 27 - 43 = t. What is the remainder when 26 is divided by y?
12
Let m(d) = 3*d**2 - 18*d - 6. Calculate the remainder when 643 is divided by m(7).
13
Suppose 3*q - 3*p = -5*p + 9671, -q + 3217 = -p. What is the remainder when q is divided by 124?
121
Let u(r) = -r**2 + 8*r - 4. Let f be u(7). Suppose 8*z = f*z. Suppose z*v - 30 = -v. What is the remainder when v is divided by 16?
14
Suppose 349 = 9*o - 650. Let j(z) = 5*z**3 - z**2 + 2. What is the remainder when o is divided by j(2)?
35
Let d(q) = 2*q**2 - 15*q + 11. What is the remainder when 63 is divided by d(8)?
6
Let x(v) = -2*v**2 + 24*v + 9. Let h be x(11). Let m = -8 + h. Calculate the remainder when m is divided by 5.
3
Let t(q) = 13*q**2 - 5*q + 7. Calculate the remainder when t(-4) is divided by 14.
11
Suppose 0*k + 7 = -k. Let f be (0 - 3) + (16 - k). What is the remainder when 39*(2 - f/12) is divided by 5?
3
Suppose -113 - 172 = -15*b. What is the remainder when 50 is divided by b?
12
Suppose 0 = -11*m + 651 + 1120. Let q = m - 65. What is the remainder when q is divided by 14?
12
Calculate the remainder when (-2)/(2/(-7) - 627/(-3003)) is divided by 10.
6
Let h = -8 - -8. Suppose -50 = -2*s - h*s + 3*p, -p = 0. Suppose o - 222 = -2*o. Calculate the remainder when o is divided by s.
24
Suppose 48 + 0 = 2*i. Suppose 0 = 4*k - 5*k - 5. Let f(m) = -3*m - 6. Calculate the remainder when i is divided by f(k).
6
Let h = -8 - -11. Calculate the remainder when 133 is divided by h + (1 + 1 - -29).
31
Let c = 11 + -6. Suppose 0 = -c*z + 2*x + 2, 2*x - 1 + 3 = -2*z. Suppose z = -b - 2*u + 1, -3*u = -2*b + 16. Calculate the remainder when 13 is divided by b.
3
Suppose 72 = 4*m - 12. Let y = m + -6. Let b(j) = j**2 - j + 2. What is the remainder when b(7) is divided by y?
14
Let s(q) = 13*q - 42. Let z be s(13). Let a = -18 + z. Suppose 2 = k - 26. Calculate the remainder when a is divided by k.
25
Let d(w) = w**2 - 2*w - 1. Let u be 1 + -5 + 1 + -1 + 8. Let m(a) = -a**2 - 9*a - 6. Calculate the remainder when m(-6) is divided by d(u).
5
Let j(a) = -9*a + 1. Let m be j(1). Suppose 6*s = -7*s - 39. Let x = s - m. What is the remainder when x is divided by 2?
1
Let x(r) = 4*r**2 + 3*r - 1. Suppose -21 = -2*u + 7. Let h be u/(-63) - 20/(-9). Calculate the remainder when x(h) is divided by 6.
3
Let n = -169 + 245. Suppose -144 = -4*g + l, -n + 6 = -2*g + l. Calculate the remainder when g is divided by 14.
9
Suppose 52*l = 119*l - 52*l - 195. Calculate the remainder when 34*(2/4 - -1) is divided by l.
12
Suppose 4*w - 227 = -z + 11, 172 = 3*w + 4*z. Suppose -w = 3*a - 6*a. What is the remainder when 97 is divided by a?
17
Suppose j = -0*j + 3*p + 21, 2*j - 42 = p. Suppose 6*v + j = 165. Suppose -5*g + v + 76 = 0. What is the remainder when 79 is divided by g?
19
Let s = 81 - 4. Let v = 109 - s. What is the remainder when 127 is divided by v?
31
Let l = -28 + 30. What is the remainder when l/(-2)*316/(-4) is divided by 20?
19
Suppose -2*t + 10 = -10. Suppose -u + 405 = 14*u. Calculate the remainder when u is divided by t.
7
Let z(r) = 224*r**2 - 4*r + 5. Calculate the remainder whe