n 117 is divided by k.
7
Let n = 129 + -116. Suppose 0 = -3*x + 78 - 3. Calculate the remainder when x is divided by n.
12
Let a be (-136)/51*42/(-8). Suppose -2*w - 4*z = -54, -3*w + 0*w = -3*z - 117. What is the remainder when 4/a - (-2860)/w is divided by 21?
19
Let z(h) be the first derivative of -h**4/4 + 5*h**3/3 + 4*h**2 - 5*h + 10. Suppose 3 = n - 3. What is the remainder when 25 is divided by z(n)?
4
Let r be (2/(-2 + 0))/1. Let g = 22 + r. Let q(h) = h**2 + 11*h + 39. What is the remainder when q(-11) is divided by g?
18
Suppose 0 = -0*x + x - 201. Suppose -39*r - 43*r + 13*r = -3519. Calculate the remainder when x is divided by r.
48
Let c(q) = -q**2 + 8*q + 10. What is the remainder when c(6) is divided by (-3 - -2)*(-5 + -1)?
4
Let p = 29 - -9. Suppose l - 3*l = -p. Calculate the remainder when l is divided by (357/(-306))/(1/(-6)).
5
Let h = 44 - 23. What is the remainder when h*((-28)/12 + 3) is divided by 3?
2
Let w be -1 - (1 + 6/(-3)). Suppose w = -3*x + 259 + 2. Suppose -5*y - 300 = -15*y. What is the remainder when x is divided by y?
27
Let x(p) = -2*p - 16. Let b be (1/(1 - 2))/(15/150). What is the remainder when (-92)/(-6) - (-4)/(-12) is divided by x(b)?
3
Let j = -5 - -5. Suppose 0 = -4*p - 4*t + 232, 2*t + 10 = -j. What is the remainder when p is divided by 22?
19
Suppose -3*j = 2*b + 45, -21 = 2*b - 0*b - 5*j. Let v = 42 + b. Calculate the remainder when 71 is divided by v.
23
Suppose 0 = -2*w - f + 62, 4*f = -4*w + 3*f + 120. Calculate the remainder when 52 is divided by w.
23
Suppose 0 = 5*u + 201 - 431. Calculate the remainder when u is divided by 22.
2
Suppose 5*z + 4*x - 80 = 0, -50 = -5*z + x + 5. Suppose 280 = -7*h + z*h. Calculate the remainder when h is divided by 10.
6
Let y be (4/(-6))/(((-15)/(-3))/(-180)). Suppose 2*p - y = 2. Suppose -120 = -3*m + 4*h, -m - 3*h = -2*h - 33. What is the remainder when m is divided by p?
10
Let b = -909 + 1000. Calculate the remainder when b is divided by 64.
27
Let x = 3 + -2. Suppose 5*v - 8 = y, -y + x = 2*v + 2. Let b(p) = p**3 + 9*p**2 + 10*p + 18. What is the remainder when b(-8) is divided by v?
0
Let g(s) = -s**3 + 13*s**2 + 4. Let x be g(13). Suppose 0 = 3*r + 2*r + x*y - 499, -527 = -5*r + 3*y. What is the remainder when r is divided by 26?
25
Let r(q) = 2*q - 15. What is the remainder when r(18) is divided by 8?
5
Calculate the remainder when (558/(-63))/(1/(-14)) is divided by 32.
28
Let b(c) = -6*c - 141. Calculate the remainder when 310 is divided by b(-27).
16
Let o(k) = k**2 + 2*k - 7. Let x be o(-6). Let q(h) = -h**3 + 19*h**2 - 32*h - 11. Calculate the remainder when q(x) is divided by 4.
3
Suppose -5*n - 5*y + 15 = 0, 5*y + 17 = 3*n - 8. Suppose 10 = -0*k - n*k, -5*p + 115 = -5*k. Let z = 16 + -5. Calculate the remainder when p is divided by z.
10
What is the remainder when 89 is divided by 2 + ((-273)/126)/(2/(-12))?
14
Suppose 3*y - 10 = 8*y. What is the remainder when 98 is divided by -3 + 29 + (y - -1)?
23
Let r(y) = 2*y**2 + 21*y + 5. Let a(t) = -t**2 - 11*t - 2. Let x(u) = 5*a(u) + 2*r(u). Calculate the remainder when 217 is divided by x(-11).
19
Let p = 12 - 10. Suppose 0 = 5*m - p - 13. Suppose 4 = -4*u - 4, k + 3*u = -3. What is the remainder when m is divided by k?
0
Let j(w) = w**2 - 2*w - 5. Let f be j(4). Suppose -f*i = 6, -2*t + 5*t - 2*i = 73. Calculate the remainder when t is divided by 13.
10
Suppose -2 = -v + 1. Suppose k + 4*k - 2*u - 135 = 0, -2*u + 65 = v*k. Calculate the remainder when k is divided by 9.
7
Calculate the remainder when 9 is divided by (99/(-9) + 7)/(2/(-4)).
1
Let q(k) = -k**3 + 5*k**2 - 8. Let p be q(3). Suppose -4*n = 2*y + p - 320, 0 = 3*n - 4*y - 249. What is the remainder when n is divided by 41?
38
Calculate the remainder when 234 + 1 - -6 - 4 is divided by 20.
17
Suppose 122 - 12 = 3*q - 2*r, 4*q - 2*r = 148. Suppose -4*o = 2*z - 40, -3*o + 8 = 3*z - 22. What is the remainder when q is divided by o?
8
Suppose -104 - 112 = -4*j. Let q = -29 - -33. Suppose -3*b - 4*l - 7 = -53, 51 = q*b - 5*l. What is the remainder when j is divided by b?
12
Let j = 20 - 2. Let z = j - 18. Suppose z*g + 39 = g. What is the remainder when g is divided by 21?
18
Suppose 38*v - 47*v + 1989 = 0. Calculate the remainder when v is divided by 48.
29
Let z(r) = -6 - r**2 + 2 + 3*r + 2 + r**3. Suppose 57*m = 262 + 479. What is the remainder when z(3) is divided by m?
12
Let u = -759 + 822. What is the remainder when 1131 is divided by u?
60
Let c = 120 + -88. What is the remainder when 59 is divided by c?
27
Suppose 3*b = -2*c + 166, 2*b - 5*c = -0*c + 136. Let n(q) = -14*q - 27. Suppose -9 = -3*l, 5*j = -4*l - 5 + 2. What is the remainder when b is divided by n(j)?
13
Let t = -4 - 1. Let v(h) = 11*h + 3. What is the remainder when v(1) is divided by 24/(-20)*(0 + t)?
2
Let b be ((-370)/(-30))/((-1)/3). Suppose -3*w + 11 = -y - 5*w, -5*w = -y - 46. Let t = y - b. What is the remainder when 62 is divided by t?
14
Let c = 69 + -60. Let m = 38 - c. Calculate the remainder when m is divided by 8.
5
Suppose 2*b = 4*y + 40, 5*y - 20 = -4*b + 3*b. What is the remainder when 66 is divided by b?
6
Suppose -f = -2*p + 6, -8 = -p - 2*f - 0*f. Suppose p*m + m - 155 = 0. What is the remainder when 60 is divided by m?
29
Let o be (-3)/6*-8 + (-100)/(-1). Suppose 103*w + 66 = o*w. What is the remainder when w is divided by 23?
20
Let t be (5 + (1 - 4))*-1. Calculate the remainder when 51 is divided by (247/38)/(t/(-4)).
12
Suppose -9*b + 112 = 5*v - 5*b, -3*b - 54 = -2*v. Suppose -v*t + 27*t = 72. Calculate the remainder when 69 is divided by t.
21
Let n be ((-81)/(-15))/((-1)/(-15)). Let z = n - 68. Suppose -6*g = -3*g - 150. Calculate the remainder when g is divided by z.
11
Suppose -z - 2*z + 111 = 0. Suppose -36*n - 2*a = -34*n - 34, 5*n - 4*a = 112. Calculate the remainder when z is divided by n.
17
Suppose 0 = 12*u - 7*u. Suppose 7*o - 340 - 262 = u. What is the remainder when o is divided by 29?
28
Suppose -4 = -2*s + 3*s. Let o = 0 - s. What is the remainder when (-414)/690*(-140)/6 is divided by o?
2
Suppose 0*o - o + 8 = 0. Let g(l) = 24 + l**2 - 10*l + l**2 - 26. What is the remainder when g(o) is divided by 16?
14
Suppose 74*s + 2*s = 6688. What is the remainder when s is divided by 17?
3
Let g be 27 + 239 + 1 + (0 - 1). Suppose 4*s + 4*n + 30 = g, s - n - 69 = 0. What is the remainder when s is divided by 22?
20
What is the remainder when (-428*6/12)/(-2) is divided by 10?
7
Suppose 4*n = -0*n. Suppose 9*d - 11*d + 36 = n. Calculate the remainder when 33 is divided by d.
15
Let v = -141 + 167. What is the remainder when 441 is divided by v?
25
Let n = 66 - -53. Calculate the remainder when n is divided by 11.
9
What is the remainder when 518 is divided by 28/4 - 9 - (-56 + 2)?
50
Suppose 10*m - 64 - 316 = 0. Calculate the remainder when 67 is divided by m.
29
Let w(u) = 7*u**2 - 3*u + 3. Let s(i) = i**2 - 51*i + 653. What is the remainder when w(2) is divided by s(28)?
7
Let x(q) = 43*q. Let a be x(1). Let f = a + -22. Let i = 16 + f. Calculate the remainder when i is divided by 20.
17
Let u(l) = -l**3 + 4*l**2 + 4*l - 2. Let j = -29 + 50. What is the remainder when j is divided by u(-2)?
7
Calculate the remainder when 104 is divided by ((-1 - 2) + (-24)/(-3))*11.
49
Let z(a) = 0*a**3 - 9*a + 3*a**3 + 6 + 6*a**2 - 1 - 2*a**3. What is the remainder when 74 is divided by z(-7)?
17
Let w(j) = 46*j + 341. Suppose -3*c - 2 = -2*d + 18, -5*c - 4 = 4*d. What is the remainder when w(-7) is divided by d?
3
Let j be -6 + 4 - (-118 + 3). Suppose 5*n = 112 + j. Calculate the remainder when n is divided by 16.
13
Suppose -2*o + 0*o + 10 = 0. Suppose -4*x = -2*a - 1 - 5, o*x + a = 11. Calculate the remainder when 2 is divided by x.
0
Suppose 18*x - 690 = -5*x. What is the remainder when 148 is divided by x?
28
Suppose -2*s + 9 = -51. What is the remainder when 87 is divided by s?
27
Suppose -69*f = -63*f - 180. What is the remainder when 115 is divided by f?
25
Let v = -5 - -9. Suppose a - v*a = -12. Suppose 5*i + 3*k = 36, -2*k - 2 = -2*i + 3*k. What is the remainder when i is divided by a?
2
Let z(i) = i - 5. Let v be z(9). Suppose 61 = v*f + 5*t, -t - 24 = -2*f + 3*t. What is the remainder when f is divided by 9?
5
Let n(g) = -g**2 + 8*g + 8. L