 is the remainder when 11 is divided by p?
4
Let q(z) = -z**3 + 8*z**2 + 9*z + 13. Let b(x) = -4*x - 4. Let l be b(-3). Suppose -2*m + 3*m = l. What is the remainder when q(9) is divided by m?
5
Suppose -p - 61 = -4*d, 5*d - p + 4*p = 55. Suppose d*n - 12*n = 80. What is the remainder when 77 is divided by n?
37
Let o = 181 + -169. What is the remainder when 51 is divided by o?
3
Let i(y) = -y**2 - 3*y + 270. What is the remainder when i(11) is divided by 34?
14
Let y(v) = -11 + 10*v + 2 - v - 6*v. Calculate the remainder when 0/(3 - 0) - -42 is divided by y(6).
6
Let a = -422 + 431. Let t(l) = -3*l. Let r = -10 + 5. Calculate the remainder when t(r) is divided by a.
6
Let n be 2/(-2 + 4)*2. Calculate the remainder when 42 is divided by (-2)/(-3)*33/n.
9
Suppose 2*o + 10*x = 5*x + 91, 3*x = 2*o - 99. Let q = 75 - -17. Calculate the remainder when q is divided by o.
44
Let s(v) = -7*v - 81. What is the remainder when s(-44) is divided by 21?
17
Suppose -4*f + 522 = 3*d - 5*d, 2*f = -3*d + 273. What is the remainder when f is divided by 35?
27
Suppose -69 = 3*t + 3. Let d = t + 34. Suppose -y + d = -21. Calculate the remainder when 121 is divided by y.
28
Suppose -1 = -4*a + 11. Let g(d) = 5*d**2 - 7*d + 13. What is the remainder when g(a) is divided by 13?
11
Suppose -2*m = -0*m - 12. Let j be (-2)/(-1*1*(-6)/12). Let f = m + j. What is the remainder when 6 is divided by f?
0
Suppose 108*b + 4356 = 112*b. What is the remainder when b is divided by 12?
9
Let b(y) = 24*y**2 - 576*y + 36. What is the remainder when b(24) is divided by 2/(-7) - 72/(-7)?
6
Let f be (13/(-3))/((-5)/(-15)). Let w = f - -18. Suppose -5*r + 23 = -2*p, -w*r + 27 = -0*r + 2*p. What is the remainder when 14 is divided by r?
4
Suppose -4*x + 38 = 3*i, x - 8 = 30*i - 31*i. Let r(d) = 39*d + 1. What is the remainder when r(1) is divided by x?
12
Let n(d) = 14*d + 115. What is the remainder when (-6)/(-21) - (-40)/7 is divided by n(-8)?
0
Let y be (-6)/5*(-10)/3. Let s be -26 + 0*2/y. Let f = s + 43. Calculate the remainder when 32 is divided by f.
15
Suppose 0 = -c - c + 4*r + 124, -5*c + 298 = 2*r. Let i = 128 - c. What is the remainder when i is divided by 23?
22
Suppose -j + 4*c + 226 = 4*j, 2*j = -c + 80. Suppose -m + 3*m = 0. Suppose m = -0*o - o + j. What is the remainder when o is divided by 11?
9
Calculate the remainder when 230/(-4)*(-18 - (-1152)/80) is divided by 19.
17
Suppose -c + 4*c - 48 = 0. Suppose -145 = 5*m - 10*m. What is the remainder when m is divided by c?
13
Suppose -r + 75 = 4*r. Let v = -2400 - -2458. What is the remainder when v is divided by r?
13
Suppose -25*t + 131 = 106. Suppose -c = c - 4. What is the remainder when c is divided by t?
0
Suppose 4*l = -3*f + 84, 6*l = 3*l - 2*f + 63. Suppose j + 3 + 1 = 2*w, -5*w + 1 = -4*j. Calculate the remainder when l - (-2 - (0 - 1)) is divided by j.
4
Let h(i) = -i**2 + i + 4. Let k be h(-2). Calculate the remainder when 78/3 - (-1 + k) is divided by 15.
14
Suppose -13*a = -5*u - 14*a + 126, 0 = 5*a + 20. What is the remainder when u is divided by 21?
5
Let n(d) = 21 - d - d + 0*d. Let c be 1*4*81/36. What is the remainder when n(c) is divided by 2?
1
Let b = -79 - -204. What is the remainder when b is divided by 123?
2
Let c be 0 + 226/(-5) - (-112)/560. Let m be (-1)/(-2 - (-165)/83). Let t = c + m. What is the remainder when t is divided by 13?
12
Let k = 349 + -297. What is the remainder when 309 is divided by k?
49
Let r(l) = -2*l**3 - 2*l**2 + 2*l + 2. Let z be r(-3). Suppose z = c + 11. Suppose -3*g - c + 51 = 0. Calculate the remainder when 27 is divided by g.
7
Suppose 0 = -5*u - 4*d + 112, -16*d + 17*d = -2*u + 43. Calculate the remainder when 39 is divided by u.
19
Let o = 624 - 512. Suppose -3*d + 58 - 212 = -5*m, -4*m = -2*d - 122. What is the remainder when o is divided by m?
25
Let p(m) = -m**3 - m**2 + m + 1. Let k(f) = -6*f**3 + 5*f**2 - 6*f + 1. Let r(d) = -k(d) + 5*p(d). What is the remainder when 64 is divided by r(9)?
20
Suppose 0 = d - 37*w + 38*w - 130, 5*d - 4*w - 650 = 0. What is the remainder when d is divided by 44?
42
Let d = 45 + -26. Suppose 5*k + 5*a - 44 = -d, -4*a = 0. What is the remainder when k is divided by 2?
1
Let o = -860 + 916. What is the remainder when 1229 is divided by o?
53
Let j(a) = -a**3 + 6*a**2 + a + 13. Let s be j(6). Suppose 0 = 3*g + s - 52. Calculate the remainder when 6/(-15) + 152/5 is divided by g.
8
Calculate the remainder when 2/4 - 1935/(-86) is divided by 4.
3
Suppose -8*p + 660 = -660. Calculate the remainder when p is divided by 85.
80
Suppose 0*o + 3*o + f = 28, -3*f = -o + 16. Let x = 10 - 4. Let t = o - x. What is the remainder when 13 is divided by t?
1
Calculate the remainder when 207 is divided by (-1 - 2)*6/90*-305.
24
Let c(o) = -5*o + 15. Let w be c(-6). Suppose -19 = 5*b + 1, m - w = 5*b. Calculate the remainder when 96 is divided by m.
21
Let v = -779 + 962. What is the remainder when v is divided by 59?
6
Let c = -50 + 55. Suppose c*n = 4*o - 0*o - 102, 0 = 5*o - n - 138. Let a = 235 - 154. What is the remainder when a is divided by o?
25
Suppose 0 = -0*u - 3*u - 108. Let s = u + 38. Let l(o) = o**2 + 2. Calculate the remainder when 21 is divided by l(s).
3
Suppose 688 = 19*k - 509. Calculate the remainder when k is divided by 47.
16
Suppose 0 = -4*z + 5*f + 336, 0*z = 3*z - 3*f - 255. What is the remainder when z is divided by 19 - (3 - 3/1)?
13
Suppose 0 = -6*a + 4*a - 42. Let v be 9 - (-7)/(a/12). Suppose -v*d + d = -3*p + 44, d + 31 = 2*p. What is the remainder when 77 is divided by p?
13
Suppose 0 = -260*r + 262*r + 2*q - 1142, 5*q + 1135 = 2*r. Calculate the remainder when r is divided by 22.
20
Suppose 5*n = -4*t + 164, -42*t + 5 = -37*t. What is the remainder when 40 is divided by n?
8
Suppose 2*p = -7*n + 2*n + 555, -5*p = 0. What is the remainder when n is divided by 19?
16
Let t(v) = -11*v - 24. Calculate the remainder when 439 is divided by t(-4).
19
Let k(w) = 2*w**2 + 30*w + 5. What is the remainder when 13 is divided by k(-15)?
3
Suppose -61*d + 3864 = -15*d. What is the remainder when d is divided by 11?
7
Suppose -31*g + 342 = -28*g. Suppose -4*o = -5*s + 94, 4*s + s + o - g = 0. What is the remainder when s is divided by 5?
2
Let u = 1 - -2. Suppose 0 = 5*a - u*a. Suppose y - 4*c + 0*c - 19 = a, 3*c + 28 = 2*y. Calculate the remainder when 31 is divided by y.
9
Suppose o + 2*r + 10 = 2*o, 5*o - 3*r - 22 = 0. Suppose -12 = -0*u - o*u. Suppose 15 = 8*h - 1. Calculate the remainder when u is divided by h.
0
Suppose -2*d = -d - 3. Suppose 0 = 4*s - 0*s - 52. Suppose d - s = -5*i. What is the remainder when 4 is divided by i?
0
Let v be (-4113)/(-81) - 4/(-18). Let p = v + -44. Suppose 11 = -g + 24. What is the remainder when g is divided by p?
6
Let c(f) = -2*f**2 + 61*f - 66. What is the remainder when 102 is divided by c(29)?
18
Suppose 3*r - 575 = -2*r. Let w be (-1)/(-2)*(r - 5). Let c = -37 + w. Calculate the remainder when 33 is divided by c.
15
Let f be 0 + -12*15/10. Calculate the remainder when 86 is divided by (f*(-15)/50)/((-9)/(-30)).
14
Suppose 4*x - 5073 = 3435. What is the remainder when x is divided by 71?
68
Let i(h) be the third derivative of h**5/15 + 13*h**4/24 + 3*h**3/2 - 2*h**2 + 7*h. What is the remainder when i(-6) is divided by 20?
15
Let c be 20/25 + (-84)/5. Let s = 20 + c. Suppose 3 = f - 3*a, -s*f + 40 + 42 = 2*a. What is the remainder when 51 is divided by f?
15
Suppose 3*f - u = 164, 7*f - 217 = 3*f + u. What is the remainder when 315 is divided by f?
50
Let d = -1 + 2. Calculate the remainder when (24/42)/(22/(-77)) + (1 - -2) is divided by d.
0
Suppose 0 = -2*q + 9 + 47. Suppose 0 = 2*o + o - 24. What is the remainder when q is divided by o?
4
Suppose 2*i + 2*i - z - 138 = 0, -4*z - 8 = 0. What is the remainder when i is divided by (-14661)/(-810) - (-2)/(-20)?
16
Suppose 2*z - 112 = -2*z. Calculate the remainder when 110 is divided by z.
26
Let z be 10/25 - (-1352)/20. Suppose 13*q = 9*q + z. Calculate the remainder when 81 is divided by q.
13
Let g = -2703 + 2708. Suppose -16 = -6*x + 5*x. Calculate the remainder when x is divided by g.
1
Suppose -3*p = -5*p - 118. Let r = p + 88. Suppose -r = -5*c + 21. What is the remainder when 37 is divided by c?
7
Let d(n) = -n**3 - 11*n**