late the remainder when (-4)/12 - (-103)/3 - v is divided by 11.
9
Let p(r) = r + 11. Suppose -5*k = -7*k - 24. Let d = k + 12. What is the remainder when 43 is divided by p(d)?
10
Let o(j) = j**2 + 21*j - 42. Let r be o(-23). What is the remainder when (-1956)/(-132) - r/(-22) is divided by 6?
3
Suppose -2*a + a + 19 = -c, -c = 0. Calculate the remainder when 37 is divided by (-5*(-6)/30)/(1/a).
18
Suppose 2*p + 83 = 207. Suppose 0*v + p = 2*v + 2*c, v = -5*c + 27. Calculate the remainder when v is divided by 11.
10
Let f = -1424 - -1526. What is the remainder when f is divided by 47?
8
Let v = 50 - 32. What is the remainder when 141 is divided by v?
15
Let m = -645 - -833. Calculate the remainder when m is divided by 65.
58
Let l(d) = -3*d**2 - 15*d + 1. Let b(o) = -o**2 - 7*o + 1. Let g(c) = 7*b(c) - 3*l(c). Calculate the remainder when 4/(-10) - 792/(-30) is divided by g(3).
6
Let y be (-4)/18 - (-48)/(-27). Let w be -44*(5/y + 2). Suppose -4 = 2*z - w. What is the remainder when 25 is divided by z?
7
Let b(a) = 18*a**2 - 389*a - 37. Suppose 80 = 3*o + 2*l, 37 = 3*o - 5*l - 15. Calculate the remainder when b(22) is divided by o.
21
Suppose -17*n + 10*n + 147 = 0. What is the remainder when 136 is divided by n?
10
Suppose 5*a + 3*g - 20 = -0*a, -4*a + 5*g = 21. Calculate the remainder when 12 is divided by a + 10 - 104/26.
5
Suppose -4*z - q + 286 = 0, 2*q - 75 = 4*z - 5*z. Let i be (-1)/6 - z/6. Let l(v) = v**2 + 13*v + 18. Calculate the remainder when 16 is divided by l(i).
4
Let a(r) = r**2. Let p be a(2). Suppose p*y = j + 234, 7*j - 2*j - 48 = -y. What is the remainder when y is divided by 20?
18
Let n(t) = -t**3 + 8*t**2 - 11*t - 5. Let x(u) = -6*u**3 + 41*u**2 - 55*u - 26. Let z(w) = 11*n(w) - 2*x(w). What is the remainder when z(-7) is divided by 14?
11
Let k(x) = -x**3 - 17*x**2 - 21*x - 43. Suppose 0 = -p + 4*t - 6, p + 3 + 7 = 5*t. What is the remainder when k(-16) is divided by p?
7
Suppose z = -z + 18. Suppose -z*c = -8*c - 28. What is the remainder when 110 is divided by c?
26
Let k = -81 + 270. What is the remainder when k is divided by 62?
3
Let v = -8 - -44. Suppose 2*f - l - 49 = 0, -5*l = 2*f - 31 - v. Calculate the remainder when 178 is divided by f.
22
Let n(r) = -r**2 - 11*r - 7. Suppose 3*i + 3 + 21 = 0. What is the remainder when n(i) is divided by 1/(-3) - (-38)/6?
5
Suppose 13*h = 17*h - 52. What is the remainder when 59 is divided by h?
7
Suppose -15 = -3*f, w - 4 = -3*f + 13. Let s be 3/1 - (-1)/1. Suppose -s = -d, 2*g - 226 = -w*d - 0*d. Calculate the remainder when g is divided by 28.
25
Let p = 21 - 10. Let x be ((-495)/(-18))/(1/4). Suppose 0 = -3*m + 3*l + 84, -5*m + 48 = l - x. What is the remainder when m is divided by p?
9
Suppose 585 = -60*p + 69*p. Calculate the remainder when p is divided by 27.
11
Suppose -34620 = -43*z + 13*z. What is the remainder when z is divided by 17?
15
What is the remainder when 3/((-9)/30)*110/(-25) is divided by 4?
0
Let x(n) = -n**3 + 11*n**2 + 48*n - 3. What is the remainder when x(14) is divided by -4 - 6*-3 - -3?
13
Let w(x) = 8*x**3 - 3*x**2 - 3*x + 6. What is the remainder when w(2) is divided by 12?
4
Suppose 0 = 2*z - 47 - 15. What is the remainder when 92 - 0/((-25)/5) is divided by z?
30
Let u = -196 + 220. Calculate the remainder when 95 is divided by u.
23
Let d = -106 + 180. Let g = d + 6. Suppose -g = -m - 19. What is the remainder when m is divided by 21?
19
Let y = 731 - 661. What is the remainder when y is divided by 16?
6
Let y = 2258 + -2209. Let d(w) = -24*w + 1. Calculate the remainder when d(-4) is divided by y.
48
Let k be (-2)/4*(-1 + -53 + -2). Suppose -4*l - k = -5*l. Calculate the remainder when 52 is divided by l.
24
Let p = 105 - 75. What is the remainder when (1 - (0 - -2))/(5/(-190)) is divided by (p/(-9))/(-2)*6?
8
Let l(q) be the second derivative of q**4/6 + 2*q**3 + 2*q**2 - 6*q. Let s be l(-8). Suppose c + c = s. Calculate the remainder when 51 is divided by c.
15
Suppose -4*o + 282 = -o. Let m = o + -62. Suppose -r + 3 + m = 0. What is the remainder when r is divided by 12?
11
Let h(o) = o**2 + 7*o - 8. Let p be h(-10). What is the remainder when 31 is divided by 4/p + 3306/209?
15
Let m be ((-10)/(-4))/((-8)/(-16)). Suppose 0 = -4*w + 3*y + 21, 0 = m*w - y - 3*y - 26. What is the remainder when 22 is divided by w?
4
Let m = 424 + -373. Calculate the remainder when 166 is divided by m.
13
Suppose 4*j - 4*y = -j + 100, 3*j - 33 = -3*y. Suppose 0*k + 4*u + 36 = 2*k, -5*k = -u - 108. What is the remainder when -1*k*(21/(-6) + 0) is divided by j?
13
Let g = 234 - 27. What is the remainder when g is divided by 11?
9
Let f = 893 + -764. Calculate the remainder when f is divided by -11*(1 - (1 + 2)).
19
Let k be (-4)/2 + 7 + -1. Suppose -k*o + 3*l + 4 = l, 5*l = 20. Suppose 5*v = 3*b + 8, 4*v - 5 = o*b - 1. What is the remainder when 13 is divided by b?
1
Let l = -45 - -57. What is the remainder when 173 is divided by ((-1760)/l)/(-5)*6/4?
41
Suppose 3*x + x = 4*h + 32, 22 = 3*x - h. Calculate the remainder when 122 is divided by x.
3
Let u(t) = 73*t - 377. Calculate the remainder when u(7) is divided by 35.
29
Suppose -697 = 2*u - 7*u + 4*r, -3*r + 147 = u. What is the remainder when u is divided by 16?
13
Let y(t) = -69*t - 61. What is the remainder when 41 is divided by y(-1)?
1
Let v(z) = 0*z + 3*z + z + 8 - 2*z. Calculate the remainder when 7 is divided by v(-3).
1
Let l(q) = q**3 + 3*q**2 - 4*q + 1. Let u = -25 - -30. What is the remainder when u is divided by l(-4)?
0
Suppose 2*i - 2*j = -4, -2*j + 19 = -2*i + 3*j. Let f be (-1 + -2)*(-5)/i. Suppose f*g - 1 = 14. Calculate the remainder when g is divided by 3.
0
Let x be 29 + -1*(4 + -3). Let z = -4 + x. Let i(t) = -t**3 + 4*t**2 + 7*t - 1. Calculate the remainder when z is divided by i(5).
6
Let s(o) = -46 + 46 + 9*o. What is the remainder when ((-69)/(-6))/((-3)/(-6)) is divided by s(1)?
5
Let h(g) = -3*g - 1 - 3*g**2 - 6*g + 5*g**2. Calculate the remainder when 84 is divided by h(6).
16
Suppose -5*h = -0*h + z - 65, h + z - 9 = 0. Suppose -2*d + 29 = 3*j, -2*j + j = 5. Suppose -3 = -a + d. What is the remainder when a is divided by h?
11
Let j = 1091 - 710. Suppose -5*n = 4*t - j, 4*n - 2*t - 312 = -7*t. Calculate the remainder when n is divided by 19.
16
Suppose 12*v + 28*v - 2280 = 0. Let g = -33 + 63. Let p = v - g. What is the remainder when p is divided by 14?
13
Calculate the remainder when 218 is divided by (68/20)/(1/5).
14
Let k be -5 + 2 - -1 - 20. Let q = -13 - k. Calculate the remainder when 61 is divided by q.
7
Let g be 3/(-2)*984/36*-1. Suppose -g = -8*w + 47. Calculate the remainder when 60 is divided by w.
5
Suppose 0*b - 2*b - 24 = -5*j, 4*j = 3*b + 15. Suppose -138 = -j*p + 3*p. Suppose -14 - 10 = -2*f. What is the remainder when p is divided by f?
10
Let c(n) = 13*n - 9. Let v be c(6). Let a = -22 + v. Suppose -28 = -5*y + a. Calculate the remainder when 56 is divided by y.
11
Let k be -4*(-4)/((-48)/(-213)). Let r = k + 63. Calculate the remainder when r is divided by 46.
42
Let v(j) = -j**3 - 14*j**2 + j - 4. Let k be v(-14). Let n = -45 - -70. What is the remainder when n is divided by 8/(-36) + (-274)/k?
10
Let o(z) = 37*z**2 + 22*z + 19. Calculate the remainder when 55 is divided by o(-1).
21
Let w = 16 - -43. What is the remainder when w is divided by 30?
29
Suppose -5*l + 80 + 35 = 0. Suppose 0 = -11*z + 6*z + 390. Suppose z*y - 27 = 75*y. Calculate the remainder when l is divided by y.
5
Let q(z) = 3*z**3 + 22*z**2 - 20*z - 20. What is the remainder when 176 is divided by q(-8)?
8
Let f be (2 + 0)/((-2)/(-15)). Suppose -i + f = 2*i. Let u(h) = -h**3 + 5*h**2 + 4*h + 3. What is the remainder when 44 is divided by u(i)?
21
Let w(n) = -n**2 + n - 6. Let q be w(-6). Let v = -33 - q. Calculate the remainder when 29 is divided by v.
14
Suppose 0 = 7*q - 2*q - 2*q. Suppose 3*h = w - 17, -w - 2*h = -q*w - 32. Calculate the remainder when w is divided by 7.
5
Let y = 924 + -921. Let o = -72 - -41. Let q = -18 - o. What is the remainder when q is divided by y?
1
Suppose -3 - 2 = 5*n, l + 4 = -2*n. Let a = l - -10. Calculate the remainder when 9 is divided by 6*2/a*2.
0
Let f = -111 + 110. What is the remainder when (69/f)/((-1)/1) is divided by 23?
0
Let f be 15 