(3/4). What is the remainder when 37 is divided by (-2)/((-22)/10 + q)?
7
Suppose 4*i = -4*u + 244, u = -62*i + 67*i - 305. What is the remainder when 289 is divided by i?
45
Let u = 5 + 34. Suppose -10*r + 765 = -775. Calculate the remainder when r is divided by u.
37
Let x = 47 + 138. Calculate the remainder when x is divided by ((-310)/30)/((-2)/12).
61
Let n be 3/(-8) - 212/32. Let r(g) = -g**2 - 16*g - 17. What is the remainder when r(n) is divided by 6?
4
Suppose d = 2*i - 0*i + 54, 0 = -i. Calculate the remainder when d is divided by 20.
14
Suppose 55*c + 3*c = 1392. What is the remainder when 132 is divided by c?
12
Suppose 3*q - 5*q + 46 = 0. What is the remainder when 106 is divided by q?
14
Let t = 401 + -88. Calculate the remainder when t is divided by 21.
19
Let n be (-1)/(-3)*(52/4 - 1). Suppose -5*s = 2*j + 5, -5*j - 5 = -n*j. Calculate the remainder when 5 is divided by s.
0
Suppose -4*b - 1965 + 1985 = 0. What is the remainder when 99 is divided by b?
4
What is the remainder when 101 is divided by 2108/(-62)*1*(-1)/2?
16
Suppose 0*x = 3*x + 9. Calculate the remainder when 21 is divided by (-4)/(-12) - 38/x.
8
Suppose -15 = -3*h + 21. Let m be 7/2*(-20)/(-35). Suppose -m*k - 2*k = -h. What is the remainder when 4 is divided by k?
1
Let b = 496 - 441. What is the remainder when 89 is divided by b?
34
Let n = -10 - -14. Calculate the remainder when (-132)/(16/(-4)) + 0 is divided by -17*((-12)/n - -2).
16
Let o(t) = 2*t**3 - 5*t**2 + 3*t + 4. What is the remainder when 50 is divided by o(2)?
2
Let y be 2/12 + 3285/54. Suppose b = 2*i + 17, 3*b + 0*b - y = -4*i. Calculate the remainder when -3 + 6*4/8 - -37 is divided by b.
18
Suppose 6*i - 78 = 3*i. Suppose -3*b - 4*k + 27 = -k, -4*k = -4*b + 28. What is the remainder when i is divided by b?
2
Let v(f) be the first derivative of f**4/4 - 11*f**3/3 - 8*f**2 - 19*f + 16. Calculate the remainder when v(13) is divided by 19.
16
Let b(p) = -32*p + 8. Let k be b(-6). Suppose 0 = 4*x + 5*m - k, -6*x = -2*x - 3*m - 232. Let j = x - 30. Calculate the remainder when j is divided by 13.
12
Let j be (-2)/(16/12)*4. Let q = j - -18. Let y(f) = 7*f**2. Calculate the remainder when q is divided by y(1).
5
Let p = -130 - -142. Suppose 5*l = 4*j + 127, j = 5*j + p. Calculate the remainder when l is divided by 8.
7
Let y(k) = -k**2 - 15*k - 43. Calculate the remainder when 6 is divided by y(-11).
0
Let s(y) = 61*y - 27. Suppose 5*d - 60 = -0*d. What is the remainder when s(2) is divided by d?
11
Let p(c) = c**2 + 4*c + 6. Let r be p(-4). Suppose 0 = -o - 0*o + r. Let h = 10 - o. What is the remainder when h is divided by 3?
1
Let l be ((-18)/12 + 4)/(1/2). Suppose 1381 = l*x + 501. Calculate the remainder when x is divided by 36.
32
Let x = 96 - 174. What is the remainder when 1/((-6)/(-200)) - 52/x is divided by 53/3 - (-1)/3?
16
Let k(n) = -9 - 3*n - 2 - 6. What is the remainder when 17 is divided by k(-9)?
7
Let w = 4 - 2. Let s = w - -2. What is the remainder when 35 is divided by s/18 - 948/(-108)?
8
Suppose -7 = p - 0*p - 2*w, -11 = 5*p + 2*w. Let y(j) = j**2 + 3*j - 4. What is the remainder when y(-8) is divided by (3 + 0)/p*-13?
10
Let h = 179 - 68. Let n(c) = c**3 - 4*c**2 - 25*c - 28. What is the remainder when h is divided by n(8)?
27
Suppose 2*y + 2*f = 5*f + 48, 4*f - 55 = -3*y. What is the remainder when y is divided by 6?
3
Suppose -3*n = -9*n - 1038. Suppose -1340 = 5*r - 0*r - 5*f, 4*r = 5*f - 1074. Let m = n - r. What is the remainder when m is divided by 32?
29
Suppose l = -17 + 66. Suppose 5*i - i - 88 = 0. Suppose -4*p + 3*x = -92, -x = -0*p - p + i. What is the remainder when l is divided by p?
23
Let t = -1980 + 2874. What is the remainder when t is divided by 69?
66
Let p = -11 + 14. Suppose -31 = -2*n + 3*u, -n - 1 = 5*u + p. What is the remainder when 41 is divided by n?
8
Suppose 0*h = -4*h + 3*n + 110, -2*h - n + 60 = 0. Let d = 39 - h. Calculate the remainder when 28 is divided by d.
8
Suppose -16*x + 322 = 18. Suppose -p + 0*p = -72. Calculate the remainder when p is divided by x.
15
Suppose 0 = -20*z + 2*z + 846. Suppose -z = s - 64. Suppose 15 = -3*t, -l = 3*l - 4*t - 216. What is the remainder when l is divided by s?
15
Suppose -42*x = -31*x - 198. Calculate the remainder when 89 is divided by x.
17
Let f(m) = m**2 - 9*m - 32. What is the remainder when 244 is divided by f(-5)?
16
Suppose 0 = 16*z + 103 - 1143. Calculate the remainder when z is divided by 17.
14
Suppose 8 = -4*q, -5*f + 4*q + q = -70. Let j = 39 - 29. What is the remainder when (28/(-4))/((-2)/j) is divided by f?
11
Let o = -191 - -193. What is the remainder when 48 is divided by o?
0
Suppose -1 + 1 = -3*i. Suppose 2*y - 5*u + 21 = i, -2*y + 2*u - 6 = -0*u. Calculate the remainder when 3 is divided by y.
1
What is the remainder when 582 is divided by (-448)/(-49) - 9 - (-1362)/21?
62
Let u = 153 - 37. Let v = u - 112. Suppose 2*n - n - 13 = 0. Calculate the remainder when n is divided by v.
1
Let q(d) = -d + 62. What is the remainder when 69 is divided by q(27)?
34
Let k = -78 - -42. Let m = k + 61. Suppose 0 = -l + 6*l - 45. Calculate the remainder when m is divided by l.
7
Let m = 1570 - 1561. Calculate the remainder when (-195)/(-6) + 2/(-4) is divided by m.
5
Suppose 2*i + 16 = 4*i. Let k = -6 + i. Suppose -3*t = 9, -2*b - 4*t - 5 - 1 = 0. Calculate the remainder when b is divided by k.
1
Let b be (9/3 - 8)*2. Let z = -7 - b. What is the remainder when 0 + -23*z/(-3) is divided by 13?
10
Let n be 56/12 - (2 - 21/9). Suppose n*h + 86 = 261. What is the remainder when 102 is divided by h?
32
Let i = -219 - -238. Calculate the remainder when 56 is divided by i.
18
Suppose 9 = -3*n - 5*a, 2*a + a = 3*n - 15. Suppose 2*c + 2 = -5*w, 0 = 3*c + n*w - 3*w - 14. Calculate the remainder when 4 is divided by c.
0
Suppose -11 + 43 = 4*p. What is the remainder when 191 is divided by p?
7
Let v(w) = w**3 - 3*w**2 - 2*w + 16. Let a(i) = -11*i - 3. Let g be a(-2). Let k = g - -9. What is the remainder when k is divided by v(3)?
8
Suppose -i + 5*s = -4*i + 79, 0 = -4*i + 5*s + 47. Suppose -7*v + 45 + i = 0. What is the remainder when 26 is divided by v?
8
Suppose -3*x + 434 = -s - 4*s, -x + 148 = -5*s. Calculate the remainder when x is divided by -6 - 166/(-4) - (-2)/4.
35
Suppose 0 = -j + 3*b + 28, 0 = 4*j - 2*j + 5*b - 56. Calculate the remainder when 61 is divided by j.
5
Let b(i) = i**2 - 7*i - 12. Let c(t) = -t**3 - 6*t**2 - t + 4. Let v be c(-6). Calculate the remainder when 87 is divided by b(v).
15
Let y be (0 + -2 + 1 - 0)*-3. Let m(p) = -p**3 + 5*p**2 - 2*p - 7. What is the remainder when 4/6 + 38/6 is divided by m(y)?
2
Let l(x) = x**3 + 7*x**2 - 6*x + 18. Let d be l(-8). Suppose 0*o + 3*w = -d*o + 19, -5*o - 5*w + 45 = 0. What is the remainder when 44 is divided by o?
4
Let t(z) = z**2 - 2*z - 19. Let p be t(5). What is the remainder when 12/(-18)*(-366)/p*-1 is divided by 17?
10
Suppose 61*j - 352 = 57*j. Calculate the remainder when j is divided by 37.
14
Let b(y) = 1. Let j(m) = m**2 - 5*m + 2. Let s = 3 + -2. Let l(q) = s*j(q) - 6*b(q). Calculate the remainder when l(-3) is divided by 11.
9
Suppose -44 = -b + 4*k, -2*k + 5*k - 220 = -5*b. Suppose -5*h - 45 = 2*s, -55 = 2*s - 0*s + 3*h. Let l = b + s. What is the remainder when 16 is divided by l?
7
Suppose 36 + 44 = 4*a. Suppose -6*j + a = -4*j. Calculate the remainder when 4 is divided by 28/j - 48/60.
0
Let p = 111 - 168. Let c = -20 - p. What is the remainder when 184 is divided by c?
36
Let l = 6 + -1. Suppose l*v - 10 = 0, -3*v - 2 = -3*p + 7. Calculate the remainder when (-2 - 8/(-3))*12 is divided by p.
3
Let w(x) be the second derivative of 2*x**3 - x**2 + 18*x. Calculate the remainder when 27 is divided by w(1).
7
Suppose 12*p = -4*p + 128. What is the remainder when 54 is divided by p?
6
Suppose -4*t - 2*q = -64, -t = -6*t - q + 80. What is the remainder when 37 is divided by t?
5
Calculate the remainder when 342 + -3 + 2/(-2)*0 is divided by 17.
16
Suppose 0*q + 286 = 22*q. What is the remainder when (49/1)/((-3)/(-3)) is divided by q?
10
Let m = -551 + 603. Suppose -y + 6 = -21. Calculate the remainder when m is divided by y.
25
Let m(r) = 7*r**3 - 7*r**2. What is the remainder when 99 is divided by m(2)?
15
Suppose -20 - 25 = 5