e 15 = 3*y + 4*u, -5*y + 10*u + 42 = 11*u. Calculate the remainder when 445 is divided by y.
4
Suppose 0*g - 3*g + 12 = 0. Suppose 4*b + s + s = 0, 3*s = g*b. Suppose b = -5*v + 10 + 145. What is the remainder when v is divided by 16?
15
Let q(p) = p + 2*p - 4 - 10 + 0*p. What is the remainder when 5 is divided by q(5)?
0
Suppose 451 = 4*q - 3*q + 2*r, 1782 = 4*q - 3*r. What is the remainder when q is divided by 15?
12
Suppose -6*k - 3*f + 2629 = -2*k, -2*k + f = -1317. Calculate the remainder when k is divided by 44.
42
Let z(p) = -p**2 + 25*p - 87. Calculate the remainder when 192 is divided by z(20).
10
Suppose 4*j - 14 = -6. Let m(g) = -6*g**2 + 13*g**2 + 5*g + 2 - 4*g**j. What is the remainder when m(-4) is divided by 8?
6
Let n = -70 + 90. Calculate the remainder when 29 is divided by (n/(-25))/(-2) - (-23)/5.
4
Suppose -3*j = -2*j - 3. Suppose 0 = j*v - 3*c - 39, v + 4*v - 3*c = 69. Let g = 16 + v. Calculate the remainder when g is divided by 11.
9
Suppose 2*h + 3*h + v - 21 = 0, 4*h - 14 = 2*v. Suppose w + h*o - 39 = 21, -2*o + 228 = 5*w. Calculate the remainder when 85 is divided by w.
41
Let h(u) = u + 37. Calculate the remainder when 75 is divided by h(-30).
5
Let s(l) = l**3 - 14*l + 2. Suppose u - 6*u + 240 = 0. Let q = 87 - u. What is the remainder when q is divided by s(4)?
9
Let t be (2/1)/(3/3). Suppose t*k - 4*k = -112. Let f(u) = -u**3 + 10*u**2 + 3*u - 1. Calculate the remainder when k is divided by f(10).
27
Let m(i) be the third derivative of -7*i**4/24 - 7*i**3/6 - 8*i**2. Let l be m(3). Let d = -27 - l. What is the remainder when 2 is divided by d?
0
Suppose 0 = 5*d + 5*v - 260, -8*d + 159 = -5*d + 4*v. Suppose 3 + 1 = 2*i. Suppose 46 = i*p + 12. What is the remainder when d is divided by p?
15
Suppose 60 = 2*o - 2*v, 2*o = -0*v + 3*v + 58. Let y be (-1 - 0)/((-5)/60). Let m(f) = f**2 - 10*f - 6. What is the remainder when o is divided by m(y)?
14
What is the remainder when 257 is divided by 458/12 - (-889)/(-762)?
35
Let i(j) = j**3 - 7*j**2 - 3*j - 22. Let g(r) = 3*r - 28. Let q be g(12). What is the remainder when 51 is divided by i(q)?
15
Suppose 3*f - 11*v - 37 = -9*v, -3*f + 5*v = -52. Calculate the remainder when 212 is divided by f.
5
Let r = -36 - -25. Let y = r - -4. Let i(s) = s**3 + 9*s**2 + 7*s + 9. What is the remainder when i(y) is divided by 15?
13
Let i = -65 + 69. Calculate the remainder when -4*(-355)/25*10/i is divided by 13.
12
Calculate the remainder when 156 is divided by ((-46)/6)/(23/(-69)).
18
Let v be (-2)/(6/3) - -1. Suppose v*j - 2*j + 48 = 0. Suppose 0 = -5*k - 3*t + 33, 43 = 36*k - 33*k - 4*t. Calculate the remainder when j is divided by k.
6
What is the remainder when 142 is divided by ((6/(-6))/(-1))/(1/11)?
10
What is the remainder when 41 is divided by 6 - 11/((-55)/65)?
3
Suppose -68 = -4*y + 2*z, 0*z - 75 = -5*y + 5*z. What is the remainder when 66 is divided by y?
9
Let w(n) = 37*n - 533. Calculate the remainder when w(18) is divided by 32.
5
Let q(k) = -13*k - 2. Let h be q(-1). Suppose h*c - 6 = 9*c. Suppose 39 - 3 = c*m. What is the remainder when 46 is divided by m?
10
Suppose 0 = 4*z + 3*o + 2*o - 194, -4*o - 176 = -4*z. Let m = z + -26. Calculate the remainder when 94/2 + 234/(-26) is divided by m.
18
Suppose -4*q = -5*i - 1308, 31*q - 29*q + 4*i - 680 = 0. Calculate the remainder when q is divided by 5.
2
Suppose 4*t - 2*n = 2*t + 6, -5*t = n - 3. Suppose b - t = -2*h, -5*h - 6 = 4. What is the remainder when 6 is divided by b?
1
Let a(h) = -33*h - 3. Let n be a(-1). Suppose 0 = v - 0*v - 2. What is the remainder when 132/n + 2/(-5) is divided by v?
0
Let p(r) = -r + 6. Let l be p(4). Suppose l*g = -3*c + 80, -g + 45 = c - 4*g. Suppose -2*j = -7*j + 55. Calculate the remainder when c is divided by j.
8
Suppose -125*v = -138*v + 5174. What is the remainder when v is divided by 68?
58
Let t = 11 + -9. Suppose -t*i + 6 = 0, -5*i - 40 = -5*o + 20. Calculate the remainder when (3 + o/(-4))*-16 is divided by 7.
5
Suppose -6*z + 364 = -428. What is the remainder when z is divided by 67?
65
Let x(u) = -20*u**3 + u**2 + u. Let z = -40 - -53. Calculate the remainder when x(-1) is divided by z.
7
Let w = -1470 + 1618. What is the remainder when w is divided by 51?
46
Suppose 5*y + 542 = 2*g, 3*y + 167 = g - 102. What is the remainder when g is divided by 138?
5
Suppose 2*z - 7*z + 5*l = -70, -5*l - 50 = -3*z. What is the remainder when 46 is divided by z?
6
Suppose -c + 4*a + 31 = 0, -108 = -c - 2*c - 3*a. Calculate the remainder when c is divided by 19.
16
Let z be (-36)/(8/4) - 2. Let y be ((-32)/z)/(2/5). Suppose y*q - 20 = -0*q. What is the remainder when 7 is divided by q?
2
Let v(t) = t - 1. Let r(p) = -4*p + 11. Let i(l) = -2*r(l) - 22*v(l). Let n be i(-7). Suppose -40 = -6*s + n. What is the remainder when s is divided by 6?
5
Let k = 41 - 39. Suppose 12 = b + k. What is the remainder when b is divided by 3?
1
Suppose 0 = 4*a + 5*y - 1699, -4*a - 5*y + 2*y = -1701. Suppose 2*b - a = -2*o, 8*o - 3*o + 4*b - 1060 = 0. Calculate the remainder when o is divided by 21.
19
Suppose 35 = w - 2*u, -5*w + 3*u - 7*u + 133 = 0. What is the remainder when 67 is divided by w?
9
Let a = 61 + -36. Suppose 5*n + 5*h - a = 0, 2*h - 1 = 3*n - 2*n. What is the remainder when -3 - -9 - 0 - -3 is divided by n?
0
Let x(p) = p**3 - 4*p**2 - p + 5. Let n be x(5). Let i = n - 17. Let b = 16 - i. Calculate the remainder when 31 is divided by b.
7
Let w be (-10)/50 + 16/5. Suppose -w*q = -6*q - 45. What is the remainder when (-124)/(5/(q/6)) is divided by 16?
14
Let j(i) = -6*i - 42. What is the remainder when 107 is divided by j(-10)?
17
Calculate the remainder when 69 is divided by (116/(-6))/(2 - (-32)/(-12)).
11
Suppose -3*a - a = -16. Suppose 0 = l + a*d + 48 - 129, 5*l - 3*d = 382. Calculate the remainder when l is divided by 26.
25
Let y(t) = 6*t**2 + 4*t + 2. What is the remainder when 165/25*(2 + -32)/(-6) is divided by y(-2)?
15
Let j(d) = d**3 - 14*d**2 - 31*d - 1. What is the remainder when 83 is divided by j(16)?
8
Suppose -5*b = -a - 32, 0*a - 44 = -5*b - 3*a. Let d = 47 + -45. Suppose 0 = -7*q - d*q + 162. Calculate the remainder when q is divided by b.
4
Let z = -17 - -9. Let m(x) = -x**2 - 8*x. Let g be m(z). Suppose g = h - 4, 3*f - 5*f + 5*h = -28. Calculate the remainder when 47 is divided by f.
23
Let i(d) = -2*d**3 - 4*d**2 + 2*d + 3. Let s(j) = -2*j**2 - 3*j - 1. Let x be s(-2). Let t = -14 - -56. What is the remainder when t is divided by i(x)?
12
Let v(r) = 34*r + 222. What is the remainder when v(2) is divided by 23?
14
Suppose 0*r + 30 = 2*r. Let a = -19 - -39. Suppose 48 - a = c. Calculate the remainder when c is divided by r.
13
Let n(y) be the third derivative of y**6/120 - y**5/10 - y**4/3 - y**3 - y**2 + 9. Calculate the remainder when n(10) is divided by 63.
62
Let d = -498 - -518. Calculate the remainder when 1276 is divided by d.
16
Suppose -5*h - 109 - 250 = -j, -2*h + 373 = j. Calculate the remainder when j is divided by 37.
36
Suppose -13*k + 2*k + 88 = 0. What is the remainder when 96 is divided by k?
0
Let h be (-3)/((-2)/(24/45) + 3). Suppose -163 = -5*f - h*a, 4*a = a - 9. Calculate the remainder when f is divided by 11.
2
Let u = 563 - 561. Calculate the remainder when 16 is divided by u.
0
Suppose 4 = x, 668 = 2*l + 2*l - 2*x. Calculate the remainder when l is divided by 50.
19
Let n(y) = y**2 - 21*y + 70. Calculate the remainder when 31 is divided by n(17).
1
Suppose -2*o + 3*t = 12 - 163, 5*o + 2*t - 368 = 0. What is the remainder when o is divided by 25?
24
Suppose -4*u - 7*j = -2*j - 1077, -2*u + 3*j = -533. What is the remainder when u is divided by 30?
28
Suppose y - 25 = 5. Let s = -23 + y. What is the remainder when 17 is divided by s?
3
Let a(v) = 2*v - 8. Let l be a(6). Suppose 9 = j - l. Suppose -60 + 208 = 4*k. What is the remainder when k is divided by j?
11
Let p(l) be the first derivative of -l**4/4 + 2*l**3 - 2*l**2 + 4*l + 18. Calculate the remainder when 36 is divided by p(4).
16
Let i(m) = 2*m**3 - 5*m**2 + 2*m + 3. Suppose 21 = 8*x - 5*x. Suppose 5*b + 75 = 4*p, p - b - x = 12. Calculate the remainder when i(4) is divided by p.
19
Let c = -276 - -293. What is the remainder when c is divided by 7?
3
Let m = 102 - 83. Suppose m + 146 = 3*o.