e remainder when f is divided by 31?
30
Let o(m) = m**3 - 7*m**2 + 6*m + 8. Let a = -10 + 23. What is the remainder when a is divided by o(6)?
5
Let x = -25 - -32. Suppose -4*b = 79 - x. What is the remainder when (-6)/(-4)*(-228)/b is divided by 7?
5
Suppose -566*r - 3245 = -571*r. What is the remainder when r is divided by 213?
10
Let s(q) = -3*q**3 - 3*q**2 - 7*q - 5. Let b be s(-2). Let o = -14 + b. What is the remainder when 16 is divided by o?
2
Suppose 196*u - 168 = 192*u. What is the remainder when u is divided by 31?
11
Suppose 6*t = 902 + 1240. What is the remainder when t is divided by 9?
6
Suppose 0 = -4*c - 4*v - 6 + 254, -2*c + 109 = 5*v. Calculate the remainder when c is divided by 25.
17
Let z(n) = n**3 + 4*n**2 - 14*n - 7. Let q(w) = -w**2 - 2*w + 2. Let a be q(-4). Calculate the remainder when 12 is divided by z(a).
2
Let t(z) = -3*z**3 - 4*z**2 - 4*z - 2. Let a = -25 + 25. Let l(g) = -g**3 + 2*g + 4. Calculate the remainder when t(-2) is divided by l(a).
2
Let o = 21 + -18. Suppose 0 = -o*u + 203 + 46. Let n(d) = 9*d + 1. What is the remainder when u is divided by n(3)?
27
Let i(c) be the first derivative of 3*c**4/2 + c**3/3 - 2*c**2 + 3*c - 4. Let b = 55 - 30. What is the remainder when i(2) is divided by b?
22
Suppose 404 = 2*b - 2*v + 64, -2*b - 2*v + 348 = 0. What is the remainder when b is divided by 35?
32
Let w be (-450)/(-66) + (-4)/(-22). Suppose -4*m + b - w = 0, 8 = m - 3*m + 2*b. What is the remainder when 17 is divided by (m - 5/(-1)) + 1?
2
Let r(b) = -b**2 + 14*b. Let j(w) = -155*w + 319. Calculate the remainder when r(8) is divided by j(2).
3
Let k be (-2 - -10) + -5 + (-236)/(-2). Suppose 911 = 5*a + k. Calculate the remainder when a is divided by 40.
38
Let d(x) = 10*x + 27. Calculate the remainder when 39 is divided by d(-2).
4
Calculate the remainder when 43 is divided by 5/(-2)*784/(-980).
1
Suppose 25*q = -2061 + 25236. What is the remainder when q is divided by 116?
115
Suppose 3*p + 5 = -4*m + 69, -4*p + 60 = 4*m. Suppose -3*f = -4*a + 40, f - 4*f = 2*a - 20. What is the remainder when m is divided by a?
9
Calculate the remainder when ((925/20)/(-5))/(2/(-72)) is divided by 21.
18
Suppose -2*i - 2*q + 76 = 0, 0 = 2*i + 3*i + 3*q - 194. Calculate the remainder when 717 is divided by i.
37
Suppose -5*z + 11 = -4. Suppose 11*b + z = 14*b. What is the remainder when 53 is divided by 20/(-5)*b + 13?
8
Suppose -k + 4*q = -23, -5*k + 6 = -4*q - 29. Suppose -17 - 19 = -k*d. What is the remainder when 23 is divided by d?
11
Let o(v) = -78*v**3 + v**2 + 2*v + 1. Calculate the remainder when 228 is divided by o(-1).
72
Suppose 8*t + 13 - 37 = 0. Suppose -6*c + 324 = t*c. What is the remainder when 141 is divided by c?
33
Let p = 3 + -3. Let f = 172 + -108. Suppose 0*u + 4*u - f = p. Calculate the remainder when 47 is divided by u.
15
Let o(p) = p**2 + 9*p + 12. Let m be o(-8). Suppose -8 + 44 = m*h. Calculate the remainder when 16 is divided by h.
7
Suppose 4*j = -4*c + 392, 3*j + 20 = 8*j. What is the remainder when 277 is divided by c?
89
Let n = -33 + 52. Calculate the remainder when 986 is divided by n.
17
Suppose -4*i - 9*u + 198 = -7*u, -5*i + 5*u = -210. What is the remainder when 373 is divided by i?
44
Suppose -3 = -2*s - 11. What is the remainder when 16 is divided by (18/s)/(36/(-48))?
4
Suppose 56 = m + r + 8, 2*m = -3*r + 91. What is the remainder when m is divided by 18?
17
Suppose -87 = 4*d - 915. Calculate the remainder when d is divided by 19.
17
Let k be 66*(3/(-2))/3. Let v(a) = a**2 + 5*a + 6. Let p be v(-5). Calculate the remainder when 31 is divided by (-4 - -2)/(p/k).
9
Suppose 10*v + h = 5*v + 315, 63 = v + 2*h. Calculate the remainder when 74 is divided by v.
11
Let m be -2*(-2 + 1 + 0). Suppose 0 = -m*d - 4*j, -5*j + 0 = 3*d - 3. What is the remainder when 33 is divided by d?
3
Let p(c) be the third derivative of -c**2 + 4/15*c**5 + 11/6*c**3 + 0*c + 1/120*c**6 + 5/8*c**4 + 0. What is the remainder when 20 is divided by p(-15)?
9
Suppose -126*b + 132*b - 990 = 0. What is the remainder when b is divided by 84?
81
Let n(j) = j**2 - 74*j + 670. Calculate the remainder when n(8) is divided by 19.
9
Suppose -13*r - 2*x = -14*r + 7, 5*r - 3*x = 70. Calculate the remainder when 25 is divided by r.
8
Suppose 4*l - 2107 = -5*a, -7*l + 3*l - 2*a = -2110. What is the remainder when l is divided by 19?
15
Let g(l) = -467*l + 59. Calculate the remainder when g(0) is divided by 2*(-2 - -17) + 1.
28
Let s = -19 - -36. Suppose 0 = 3*x + 39 + 30. Let m = -18 - x. Calculate the remainder when s is divided by m.
2
Suppose 2*s - 3*s + 38 = 3*l, -4*s = -l - 87. Let a(k) = k**3 - 21*k**2 - 20*k - 40. Calculate the remainder when s is divided by a(22).
3
Let z be (4/(-3))/4*3. What is the remainder when 4/((6/(-87))/z) is divided by (9/(-15))/(1/(-25))?
13
Let c(m) = 0*m + 2*m + 30 - 3*m + 0*m. Calculate the remainder when 70 is divided by c(18).
10
Suppose g + 2*q = 2 - 8, -2*g - 26 = -3*q. Let a(i) = -i**2 - 16*i - 12. Let u = -94 - -104. What is the remainder when a(g) is divided by u?
8
Let v = 1897 + -1832. What is the remainder when v is divided by 54?
11
Suppose 0 = 2*r + 2*r - 44. Let d = -29 - -49. What is the remainder when d is divided by r?
9
Let m(h) = -2*h**2 - 26*h - 12. Let k be m(-7). Suppose -2*z - 6*z = -k. Calculate the remainder when 20 is divided by z.
2
Suppose -352 = -11*v - 0*v. Let g = -6 + 2. What is the remainder when 30 is divided by (-2)/(1*g/v)?
14
Let d(s) = 2*s**2 - 5*s - 23. What is the remainder when 30 is divided by d(6)?
11
Let o = -5 + 12. Let i = 25 - 19. What is the remainder when (-680)/(-35) + i/(-14) is divided by o?
5
Suppose 0 = 47*n - 31*n - 192. Calculate the remainder when (-8)/(-36) + 1274/18 is divided by n.
11
Let z be 447/(-7) + 3/(-21). Calculate the remainder when 59 is divided by 5/(-4)*z/4.
19
Let t = 5 + -2. Let h(p) be the first derivative of 7*p**2/2 - 4. Calculate the remainder when h(1) is divided by t.
1
Suppose -4*y = -43 - 89. Let c be -2*3 - (37 + -45). Suppose d - y = -c*d. What is the remainder when d is divided by 6?
5
Let a = 32 + -45. Let i = a - -23. What is the remainder when 59 is divided by i?
9
Let g(t) = -t**3 + 5*t**2 + 10*t. Let r be g(7). Let c(m) = -m**3 + 8*m - 4. Calculate the remainder when c(-4) is divided by 2/(-7) - 288/r.
8
Suppose 4*b + 33 = -u, -5*b - 73 = 4*u + 26. Let s = u - -10. Let w = s + 13. What is the remainder when 3 is divided by w?
1
Suppose 52*j = 113 + 1447. What is the remainder when 45 is divided by j?
15
Let v(k) = -k**2 - 6*k - 1. Let q be ((-6)/18)/((-1)/39). Suppose 4*j = 5*x + q, 3*x = -x - 4*j - 32. What is the remainder when 14 is divided by v(x)?
2
Suppose -308 = -39*y + 35*y. Calculate the remainder when y is divided by 14.
7
Let x = 0 + 2. Calculate the remainder when (-156)/(-6)*5/10 is divided by x/(-8) + (-51)/(-12).
1
Suppose -6*x + 22*x - 1888 = 0. Calculate the remainder when x is divided by 17.
16
Suppose 0 = -3*c, -5*i - 2*c - 2 - 13 = 0. Calculate the remainder when 109 is divided by i + 12/4 - 1*-28.
25
Let q(w) = -3*w + 48. What is the remainder when 879 is divided by q(-5)?
60
Suppose i - 82 = 2*b - 2*i, -b - 4*i = 30. Let q = -7 - b. Calculate the remainder when 90 is divided by q.
28
Let w = 932 - 907. Calculate the remainder when 45 is divided by w.
20
What is the remainder when 8 is divided by 16/24 - 3/((-9)/19)?
1
Let g be ((-2)/(-2))/((1 - -5)/(-24)). Let l = g + 153. What is the remainder when l is divided by 15?
14
Suppose -4*p + 720 = -908. What is the remainder when p is divided by 17?
16
Let j be (6/(-7))/((-3)/147). Let o = 308 + -314. Calculate the remainder when 20 is divided by (-3)/o - j/(-4).
9
Suppose -12 = 5*u - 3*u. Let d(y) = -34*y - 4. Let a be d(u). Suppose q - 71 = -s - 2*s, 4*s + a = 3*q. Calculate the remainder when q is divided by 14.
12
Let z(a) = 5*a + 17. What is the remainder when z(3) is divided by 3?
2
Let y = -207 + 230. Suppose 0 = 4*h + 55 + 29. Calculate the remainder when -1 - (2*h + -3) is divided by y.
21
Let q be (2 - 4 - -7) + -2. Let x be 6 - (-1)/(-1)*q. What is the remainder when 19 is divided by (1/x)/((-1)/(-21))?
5
Let c(z) = z**3 - 12*z**2 - 12*z - 8. Let h be c(13). Suppose h*i - 40 - 35 = 0. Suppose 0 = -2*k + 3*k - 28. What is