s the remainder when d is divided by 6?
4
Suppose 0 = -w + v + 8, -32 = -2*w - 2*w - 4*v. What is the remainder when 31 is divided by w?
7
Suppose 3*z + 4*b - 212 = 0, 10*z - 8*z - 134 = b. What is the remainder when z is divided by 8?
4
Let c(d) = d**3 - 2*d**2 + d + 3. Let g be c(2). Suppose g*m - 109 = -19. Calculate the remainder when 35 is divided by m.
17
Let z(g) = -7*g - 19. What is the remainder when z(-19) is divided by 14?
2
Let d be 35/14 - 4 - 6/(-4). Suppose -4*t + d*t + 100 = 0. Calculate the remainder when t is divided by 13.
12
Let m(o) = -o**3 - 5*o**2 - 2*o - 5. Let p be m(-5). Suppose p*c = -23 + 143. Calculate the remainder when 972/22 + c/(-132) is divided by 16.
12
Let d(p) = -8*p + 24. Let a be d(10). Calculate the remainder when (a - -2)/(2/(-3)) is divided by 21.
18
Suppose -2*g + 5*g + 9 = 0. Let q(i) = i. Let b be q(g). What is the remainder when -16*(b/12 - 1) is divided by 7?
6
Let h(m) = m**2 + 18*m + 10. Suppose 95 = -5*r + u, u + 0*u = 2*r + 41. Calculate the remainder when 27 is divided by h(r).
7
Suppose 1 = 7*c - 6. Calculate the remainder when 33 is divided by (-3)/1 + c + 7.
3
Let b be 5/(-15) + (-1)/(-3). Suppose -g - 64 + 176 = b. Suppose -5*p = 4*r - g, -2*r - 87 = -5*r - 3*p. What is the remainder when r is divided by 9?
6
Let v = -11 - -18. Let q be ((-6)/5)/(20/(-150)). Suppose 0 = q*x - v*x - 166. What is the remainder when x is divided by 21?
20
Let h(v) = 2*v**2 - 36*v - 187. Calculate the remainder when 82 is divided by h(23).
39
Let f(b) = -b**3 - b**2 + 1000. Let l be f(0). Suppose 0 = -12*n - 8*n + l. Calculate the remainder when n is divided by -1 - 0 - -1*19.
14
Let o(s) = -s**3 - 7*s**2 - s - 4. Let b be o(-7). Suppose 51 = 3*f + 4*v, -v + b*v = -f + 15. Calculate the remainder when f is divided by 8.
5
Let a(h) = -15*h - 616. Calculate the remainder when a(-55) is divided by 24.
17
Suppose 0 = -3*n + 2*l + 202, -n + 34*l + 84 = 30*l. What is the remainder when n is divided by 33?
31
Suppose 3*n - n - 15 = -3*a, -4*n - 4*a = -32. What is the remainder when 176 is divided by n?
5
Let o = -1875 - -1950. Let k = -23 + 62. Calculate the remainder when o is divided by k.
36
Suppose 0 = -11*c + 802 - 153. Calculate the remainder when 469 is divided by c.
56
What is the remainder when 99 is divided by -8 - (-280)/(-5 + 15)?
19
Suppose 2*k - 14 = 2*n, -5*k - 5 = -4*k + 2*n. Suppose 0 = -k*s - 83 + 128. Calculate the remainder when 73 is divided by s.
13
Let v be (-75)/(-10) - 2/4. Suppose -2*g = -v*g + 35. Let j = g + 2. Calculate the remainder when 24 is divided by j.
6
Let i = -1177 + 1184. What is the remainder when 147 is divided by i?
0
Let a(k) = -2*k + 25. Let i(d) = 5*d - 75. Let c(t) = -17*a(t) - 6*i(t). Let w be c(-11). Let v = w - -29. What is the remainder when 39 is divided by v?
9
Let v = -10 + 20. Suppose -4*r + v = h - 2*h, -h - 4 = -2*r. Suppose -r*u + 51 = 6. What is the remainder when 59 is divided by u?
14
Let n = -584 - -651. What is the remainder when n is divided by 18?
13
Let h(f) = 131*f + 1155. Let v = -38 - -68. What is the remainder when h(-7) is divided by v?
28
Calculate the remainder when 1/(-1*(-2 + 537/270)) is divided by 23.
21
Let l(a) = -a**2 - 8*a + 7. Let n be l(-6). Let u(q) = -1 + 6*q**3 + 2 - n*q + 18*q. What is the remainder when 9 is divided by u(1)?
3
Suppose 0 = -3*a - r + 31, 0 = 4*a + 3*r - 10 - 28. Suppose 0 = -4*i - a*i + 1035. What is the remainder when i is divided by 18?
15
Calculate the remainder when -117*(-1 + 2/6) + 5 is divided by 14.
13
Let w = 498 - 786. What is the remainder when 78 is divided by 4/(-7) + w/(-14)?
18
Suppose -4*o = -77 + 9. Suppose -178 = 15*y - o*y. What is the remainder when y is divided by 30?
29
Let z be ((-756)/30)/(-7) + (-4)/(-10). What is the remainder when 120/z - (-1 + 2) is divided by 12?
5
Let j(w) = 5 + 5*w + 6 - 1 + w**2. Calculate the remainder when (163 - -2)*(-39)/(-143) is divided by j(-7).
21
Let h = 73 + -77. Calculate the remainder when 22 is divided by (1 - (h - 1))*2.
10
Let f = 35 + -20. Suppose 7*v = 5*v + 4. Suppose -7*h + v*h = f, -3*c - 4*h + 204 = 0. What is the remainder when c is divided by 15?
12
What is the remainder when 222 is divided by 6/((9/(-3))/(-30 + 2))?
54
Let y be (-3)/2 + 5/10 - -3. Suppose y*c + l - 6*l - 128 = 0, 2*c + l - 140 = 0. What is the remainder when c is divided by 19?
12
Let g(h) = 4*h**2 - 3*h**2 - 7 + 3*h**2 - 22*h + 0*h**2. Let w(v) = 13*v**2 + v. Calculate the remainder when w(1) is divided by g(6).
4
Suppose 5*d - 115 = -5*z, -4*z + 67 + 25 = -4*d. Calculate the remainder when (-159)/(2 - (-2 + 5)) is divided by z.
21
Let h(k) = k**2 + 2*k + 2. Let m be h(-2). Let p be ((-1)/m)/((-8)/160). Calculate the remainder when 3 is divided by p/(-4)*24/(-30).
1
Let f be (-14)/(-28) + 1/2. Let t(l) = 4*l. Calculate the remainder when 15 is divided by t(f).
3
Let d = 55 - 54. Let x = 13 - d. Let y = -4 + 49. Calculate the remainder when y is divided by x.
9
Suppose 0 = -f + 5. Suppose -l + 4*b - 1 + 23 = 0, -73 = -3*l + f*b. Calculate the remainder when l is divided by 7.
5
Suppose 0 = 4*i + 24 - 776. Calculate the remainder when i is divided by 21.
20
Let d = -17 + 20. Let g be 1/4 - 51/(-4). Let i = -8 + g. Calculate the remainder when i is divided by d.
2
Let v(d) = -d**3 - 7*d**2 + 119*d + 13. Calculate the remainder when 9 is divided by v(8).
4
Suppose 2*t = 0, -3*t = 2*v + 44 - 230. Let d = v - 55. Let i = -3 + 11. What is the remainder when d is divided by i?
6
Let c = 5 - 5. Let v(y) = 9*y**2 - 1. Let m be v(-2). Let b = c + m. What is the remainder when b is divided by 12?
11
Let u(b) = b - 6. Let w be 2/6 + 252/(-27). What is the remainder when u(11) is divided by 6*(-6)/w + -1?
2
Let l be ((-16)/(-20))/((-1)/(-5)). Suppose 3*z - l = 5. Let c(v) = 5*v**3 - v**2 + 1. What is the remainder when c(1) is divided by z?
2
Suppose 5*l = -y - 1, -2*y = 2*l + l + 9. Let m be ((-33)/y)/(4/(-16)). Let q = 24 + m. Calculate the remainder when 7 is divided by q.
1
Suppose 2*l - 5*l = -366. Calculate the remainder when l is divided by 109.
13
Suppose -927 = -m + 4*c - 3*c, 5*c = 4*m - 3711. Calculate the remainder when m is divided by 37.
36
Let f = 478 - 217. What is the remainder when f is divided by 33?
30
Suppose -8*o + 33 = -31. What is the remainder when 14 is divided by o?
6
Let y(p) = 19*p - 96. What is the remainder when 430 is divided by y(6)?
16
Let d = 20 + -17. Let u = 18 + -13. Suppose -132 = -4*x + d*j, x - 9 = -u*j + 47. Calculate the remainder when x is divided by 13.
10
Suppose 5*m + 33 = 3*a, 4*m + m = -15. Let p = 153 + -162. Calculate the remainder when 16/(-12)*p/a is divided by 1.
0
Suppose p - 1 = 2*j, 0 = 5*p - 4*j + 1 - 0. Calculate the remainder when (-1)/(p*5/335) is divided by 23.
21
Suppose 2*d = -4*c + 24, -27*d + 25*d + c + 14 = 0. What is the remainder when 114 is divided by d?
2
Suppose -8*j = 2*b - 4*j - 54, 0 = 4*b - 2*j - 148. Let m = 79 + -13. What is the remainder when m is divided by b?
31
Let n(u) = 4*u**2 - 52*u - 2. Let h be n(16). Let i = 205 - h. Let l(y) = -10*y + 2. Calculate the remainder when l(-4) is divided by i.
12
Suppose 0 = -3*g + 5*z - 1 - 5, -6 = -2*z. Suppose -r + 10 = -m, -3*m = -2*r - g*r + 60. Calculate the remainder when r is divided by 8.
7
Suppose -43*p = -73*p + 1260. What is the remainder when p is divided by 11?
9
Let z(r) = r**3. Let h(g) = -g**3 + 5*g**2 - 9*g - 8. Let o(q) = -h(q) - 2*z(q). Let c be o(-6). What is the remainder when (-3 - c/3)*27 is divided by 4?
1
Suppose 3*b = -2*l - 2*b + 34, 5*l - 39 = -b. What is the remainder when 16 is divided by (l - 8)*(-10 + 1)?
7
Suppose 0*k = -4*y + 2*k + 770, y + k = 197. Calculate the remainder when y is divided by 50.
44
What is the remainder when ((-2)/(-4))/((21/(-888))/(-7)) is divided by 19?
15
Suppose -5*c - 5*i + 339 = 84, -3*c = 5*i - 161. What is the remainder when 90 is divided by c?
43
Let t = 63 + -40. What is the remainder when t is divided by 5 - 66/12 - (-17)/2?
7
Let v(z) = 3*z - 20. Let d be v(9). What is the remainder when 65 - ((-12)/(-4) - d) is divided by 18?
15
Let n(g) = 16*g**2 - 15*g - 107. Calculate the remainder when n(-7) is divided by 87.
86
Suppose 9*r - 12*r + 12 = 0. Let f(y) = -y**3 - 5*y**2 + 3*y + 7. What is the remainder