Suppose z*c = x + 145, 4*x - 2*x + 10 = 0. Calculate the remainder when c is divided by 5.
3
What is the remainder when 41*1/((-2)/(-4)) is divided by (11 + (-455)/39)*42/(-1)?
26
Let b = 2 + 40. Let w be 3/(-18) + 6265/b. Suppose 67 = 2*d + 3*l - 7, 3*d - 5*l = w. What is the remainder when d is divided by 11?
10
Let a(x) = -x**2 - x + 32. Calculate the remainder when 69 is divided by a(0).
5
Suppose -8429 = -41*q + 12891. Calculate the remainder when q is divided by 58.
56
Calculate the remainder when ((-2672)/6 + 1)/(120/(-1080)) is divided by 46.
43
Let q(c) = c**3 + 19*c**2 + 17*c - 7. Suppose 2*a - 48 = 4*a - 4*r, 4*a - r + 75 = 0. Calculate the remainder when 73 is divided by q(a).
7
Let w(x) = x**3 + 3*x**2 - 6*x - 1. Let u be (-30)/7 - (-8)/28. Let v be w(u). Suppose -23 = -5*l + v. What is the remainder when 17 is divided by l?
5
Suppose -3*h - 5*s + 4 = -36, 3*s - 28 = -2*h. What is the remainder when 418 is divided by h?
18
Let a = -244 - -249. Calculate the remainder when 87 is divided by a.
2
Suppose -407 = -5*d - 3*q - 92, -4*d + 4*q + 220 = 0. Suppose 4*s + 4*j - d = 0, s = -3*j - j + 12. Calculate the remainder when 94 is divided by s.
14
Let u(d) = -d**3 - 19*d**2 + d + 28. Let r be (-2)/(1 - (-165)/(-159)). Suppose -5*b + r = -27. Calculate the remainder when b is divided by u(-19).
7
Let d(u) = u**3 - 14*u**2 - 26*u + 9. What is the remainder when d(16) is divided by 53?
52
Let r(f) = 3*f**2 - 13*f + 13. Calculate the remainder when 89 is divided by r(4).
8
Let x be (-1 + 2)/(0 + -1)*0. Suppose 133 = 7*i - x*i. Calculate the remainder when 92 is divided by i.
16
Let t(d) = d**2 - 17*d - 125. Calculate the remainder when 74 is divided by t(-6).
9
Suppose 6*x + 652 - 2668 = 0. What is the remainder when x is divided by 34?
30
Suppose 0*f + 3*f - 4 = j, j = -3*f + 20. Let k(x) = -x**2 - 15*x + 18. Let c be k(-16). Calculate the remainder when ((-6)/(-10))/(c/130) is divided by j.
7
Let m = 20 - 11. Let i be (-2)/9 - 16/m. Calculate the remainder when 52 - (0 + i/1) is divided by 28.
26
Calculate the remainder when 275 is divided by (-3 + (-75)/9)/((-88)/132).
3
Let z(w) = w**3 - 4*w**2 + 2*w - 4. Suppose 2*v + 8 = 0, -d = 2*v + 7 - 3. Calculate the remainder when 18/2 + (-25)/(-25) is divided by z(d).
2
Let x = 21 - 14. Let j(d) = d**3 + 7*d**2 + 5*d - 2. Suppose -4*h = -2*h + 6. Calculate the remainder when j(h) is divided by x.
5
Let o(v) = 152*v - 41. What is the remainder when o(1) is divided by 23?
19
Let v = 9 + -12. Let m = 17 - 1. What is the remainder when ((-45)/(-6))/(v/(-36)*2) is divided by m?
13
Let p = -45 + 91. Calculate the remainder when p is divided by 16.
14
Suppose 12*p - 10*p = 552. Calculate the remainder when (20/(-16))/((-3)/p) is divided by 30.
25
Suppose 4*x - 46 = -3*w, 3*w + 5*x = 2*w + 30. Suppose w*o = 6*o + 60. What is the remainder when 44 is divided by o?
14
Suppose -400 = -5*p + 3*k, 2*p - 129 = 4*k - 9*k. Let v = p - 68. What is the remainder when 30 is divided by v?
3
Suppose 3*o + 5*p - p - 53 = 0, -83 = -5*o - 4*p. Calculate the remainder when 23 is divided by o.
8
Suppose 0 = -4*u - 12, g - 3*u = -g + 59. Let d = -17 + g. Suppose 245 = -p + d*p. Calculate the remainder when 69 is divided by p.
34
Calculate the remainder when (-34)/(-6)*(61 + -58) is divided by 15.
2
What is the remainder when (-4)/10*(-6)/((-60)/(-23525)) is divided by 59?
56
Calculate the remainder when (-3565)/(-15) - 6/9 is divided by 62.
51
Let n be (1 - 0) + 0/1. Let o(r) = 2*r**3. Suppose 16*t - 5*t - 22 = 0. Calculate the remainder when t is divided by o(n).
0
Suppose -5*c - 14 = 2*y, 0 = -y + c - 6 - 8. Let v = y + 18. What is the remainder when v is divided by -1 + 1 - (-8 + 5)?
0
What is the remainder when -1 + 2 + -3 + 91 is divided by (-2 + 0/3)/((-116)/1334) - 5?
17
Let o = 388 - 160. What is the remainder when o is divided by 11?
8
Suppose 5*z - 513 = -3*j, 3*j - 4*j + 188 = -4*z. Suppose -77*b - 6840 = -229*b. Calculate the remainder when j is divided by b.
41
Suppose 37*w - 764 = 1005 + 562. Suppose -2*d - 160 = -7*d. Calculate the remainder when w is divided by d.
31
Suppose w = 6*w + 4*r - 556, -5*w + r = -561. Suppose -963*v + 31172 = 3245. What is the remainder when w is divided by v?
25
Calculate the remainder when 115 is divided by (-6)/(-8) + 1845/164.
7
Suppose 3*w - 434 = 5*w + m, 5*w + 1087 = -3*m. Let u = w + 500. Calculate the remainder when u is divided by 48.
45
Let p(n) = n**2 - 42*n + 111. Calculate the remainder when 38 is divided by p(40).
7
Suppose -6*z + 294 = -3*k, 3*z - 120 = -18*k + 15*k. What is the remainder when z is divided by (2/(-2))/((-1)/25)?
21
Suppose -12 = 3*l + 3*g, -4*g + 5 = 3*l - 6*l. Calculate the remainder when (-30)/8*(-80)/6 - l is divided by 5.
3
Suppose 5*t + z - 21 = 0, -5 = -5*z - 0. Suppose -4*g = -224 - t. Calculate the remainder when g is divided by 15.
12
Let n(g) = g + 18. Let z = -17 + 7. What is the remainder when 18 is divided by n(z)?
2
Let i be 4 - (297 - -5 - 4). Calculate the remainder when 96 is divided by 18/(-45) - i/10.
9
Let k(f) = 9*f - 8. Let s(y) = y**2 + 4. Let u be s(0). Suppose -5*n + 34 = -0*o - o, -4*o - 40 = -u*n. What is the remainder when k(n) is divided by 16?
14
Let p = -320 + 387. What is the remainder when 1003 is divided by p?
65
Let t = -1 - -4. Suppose -t*v - 40 = -8*v. Let l(d) = -6*d**2 + 71*d + 96. What is the remainder when v is divided by l(13)?
3
Let v = -28 + 30. Suppose 0*u + 64 = v*u. What is the remainder when 54 is divided by u/4 + 2 - -1?
10
Let o = 305 + -270. Calculate the remainder when 1084 is divided by o.
34
Let u(v) = v**3 + 9*v**2 - 6*v - 6. What is the remainder when u(-9) is divided by 14?
6
Let f be (3*-14)/(-3) - 2. Let n(a) = 3*a**2 - 14*a - 12. Let o be n(f). Let b = o - 175. Calculate the remainder when b is divided by 16.
13
Let o = 1 + 0. Let r = -24 + 28. Suppose 0 - r = -4*i. What is the remainder when o is divided by i?
0
Suppose -3*q + 140 = -u + 5*u, 5*q - 224 = -2*u. Calculate the remainder when q is divided by 9.
8
Let a(p) = p**2 - 16*p + 68. What is the remainder when 599 is divided by a(12)?
19
Let c = 15 + -33. What is the remainder when (-1)/(-3)*3480/20 is divided by (0 - 1)*(3 + c)?
13
What is the remainder when 55 is divided by -1 - 1*33/(-3)?
5
Calculate the remainder when 22 is divided by (-12 - -4)/((-170)/15 - -10).
4
Let w = -15 - -19. Suppose -i = -3*f + 17, w*i + f = 3*i + 3. Calculate the remainder when (2/4)/(i/(-88)) is divided by 6.
4
Let x(w) = -w**2 - 13*w - 12. Let l be x(-11). What is the remainder when 44 is divided by l/25 - (-236)/10?
20
Let v(s) = -s + 12. Let d be v(12). Let k(g) = 9*g - 5*g**2 + 6*g**3 - 1 - 5*g**3 + d. What is the remainder when k(6) is divided by 18?
17
Suppose 0 = -3*a + 12, -3*a + 20 = -2*m + 60. What is the remainder when 466 is divided by m?
24
Suppose 0*o - 3*o = 2*w + 117, -5*o = 5. Let x = -5 - w. Suppose -2*y = d - 41, -4*y + 5*d + x = 5. Calculate the remainder when y is divided by 4.
2
Suppose 0 = -s + 5 - 1. Suppose 0 = -m + v - 2 + 10, 0 = -2*m - v + s. Let a(c) = -c**3 - 2*c**2 + 5*c + 1. Calculate the remainder when a(-4) is divided by m.
1
Suppose -3*w = 4*z + z + 153, 172 = -4*w + 4*z. Let y = w - -59. Calculate the remainder when 25 is divided by y.
12
Let b = 563 - 500. What is the remainder when 182 is divided by b?
56
Let f = 55 - 32. What is the remainder when f is divided by (-2)/88*8 - (-501)/33?
8
Suppose 0 = -90*i + 94*i - 68. What is the remainder when 67 is divided by i?
16
Suppose 0 = w - 4*k - 124, -w - k + 17 + 87 = 0. Let p = 18 - -10. What is the remainder when w is divided by p?
24
Let i(d) = 9*d**2 + 3*d - 3. Suppose 27 - 7 = -5*n, -2*n - 88 = -5*f. Suppose -18*x + 28 = -f*x. What is the remainder when i(2) is divided by x?
11
Suppose 2*z - 3*z = -3. Suppose 4*s = 6*t - z*t + 15, -5*t - 2*s = -1. What is the remainder when -1*t/2*34 is divided by 9?
8
Suppose -2*t = -1 - 3. Let o(q) = -q**3 - 6*q**2 + 2*q**t + 0*q**2 - 5 + q. Calculate the remainder when 28 is divided by o(-5).
13
Suppose 16 - 61 = -5*o. Let r = -331 - -347. Calculate the remainder when r is divided by o.
7
Let v be (-1 - 69)*(-8)/10. Let a = -24 + v. Calculate the remainder when 127 is divided by a.
31
Let m(s) = s**2 + 9*s + 12. Let d b