uppose 105 + 90 = 3*l. Suppose -8*b = -13*b + l. Calculate the remainder when i is divided by b.
11
Suppose 8*u - 12*u + 137 = -l, 0 = -u - 3*l + 18. Let c(v) = 32*v + 2. Calculate the remainder when c(4) is divided by u.
31
Let c(d) = -3*d - 14. Let q = -54 + 45. What is the remainder when c(q) is divided by 5?
3
Let b(s) = -s**3 - 11*s**2 - 10*s + 6. Let j be b(-10). Suppose -j*y + 702 = 3*y. What is the remainder when y is divided by 16?
14
Suppose -l = l - 20. Let f be (-5)/(5/(-4)) - 4. Let r(x) = 3*x + 49. Calculate the remainder when r(f) is divided by l.
9
Let r(k) be the first derivative of 5*k**2/2 + 2*k - 3. Suppose 3*y + 266 = 5*y. Calculate the remainder when y is divided by r(5).
25
Let y(z) = 2*z - 3. Let l be y(4). Suppose -l*i + 25 = 4*h, 0*h + 4*h - 16 = 4*i. Let u = 13 + 4. Calculate the remainder when u is divided by h.
2
Let y = -188 - -209. What is the remainder when 58 is divided by y?
16
Suppose 5*k - 2*f - 643 = 0, f - 5*f = 2*k - 238. Calculate the remainder when k is divided by 10.
7
Let t be (-4*(-6)/(-12))/(2/(-123)). What is the remainder when 1 + t - (-4 + -4 - -7) is divided by 32?
29
Let v(j) = 6*j**2 + 11*j - 5. Suppose 0 = 3*w + 4*c, -2*c = -w - 7 - 3. Calculate the remainder when v(w) is divided by 6.
5
Suppose 0 = -2*v + 12 + 34. Suppose 4*f = y + 167, 0*f + 2*f - y = 81. Calculate the remainder when f is divided by v.
20
Suppose 38*o - 6500 = -27*o. What is the remainder when o is divided by 52?
48
What is the remainder when 58 is divided by (-9630)/(-749) - (0 - 2/14)?
6
Let d(g) = -g**2 - 25*g - 6. Calculate the remainder when d(-17) is divided by 15.
10
Let f be 6/4*204/18. Let z = -3 + f. What is the remainder when 49 is divided by z?
7
Let a = -8 - -11. Suppose 84 = a*w + 18. Suppose 2*s = -0*s + w. Calculate the remainder when 21 is divided by s.
10
Suppose 0 = -5*m - u + 168, m - 3*m + 60 = 4*u. Let y = m - 21. Calculate the remainder when 37 is divided by y.
11
Suppose 3*h - 5*i - 14 = -0*i, 5*h - 13 = -2*i. Let y be (2*3/h)/1. Suppose c + 80 = 3*w, -y*w + 3*c + 56 = c. Calculate the remainder when w is divided by 14.
12
Suppose -702 = -7*b + 292. Suppose h + b = 147. Calculate the remainder when h is divided by 4.
1
Suppose -5*j = 3*a - 4*j + 77, 0 = a + 4*j + 22. Let d(u) = -u**2 - 24*u + 62. What is the remainder when 68 is divided by d(a)?
8
Suppose -3*y = -h + 18, 2*y + 28 = 4*h + y. Suppose h*z + 73 - 187 = 0. What is the remainder when 151 is divided by z?
18
Let k = -1807 + 1865. What is the remainder when 100 is divided by k?
42
Suppose -2*q + 99 = q. What is the remainder when q is divided by ((-3)/4)/(1/(-12))?
6
Suppose y + a + 0 = 1, -y - 3 = 3*a. Suppose 846*h = 854*h - 112. What is the remainder when h is divided by y?
2
Let p(j) = 154*j**2 + 47*j + 45. What is the remainder when p(-1) is divided by 11?
9
Let k = 6 - -23. Let o = -576 + 683. What is the remainder when o is divided by k?
20
Suppose -t - 17 = 4*i + 2*t, -5*i - 7 = -t. Calculate the remainder when 8/i*3/(-6) + 14 is divided by 11.
5
Let l = -312 + 323. What is the remainder when 582 is divided by l?
10
Suppose -44*r + 2135 = -37*r. What is the remainder when r is divided by 9?
8
Suppose 0 = -17*u - 195 + 1011. Calculate the remainder when -1*(-2 + -239) + -2 is divided by u.
47
Let n(k) = k - 3. Let b be -12*((-3)/12 + 6/(-8)). Calculate the remainder when n(b) is divided by 3.
0
Suppose 66 = 495*b - 492*b. Calculate the remainder when 1649 is divided by b.
21
Suppose -4 + 34 = 3*w. Suppose 66 = -174*q + 196*q. What is the remainder when w is divided by q?
1
Let h = 374 - 276. What is the remainder when 283 is divided by h?
87
Suppose -3*t + 78 = -120. Let n(w) = 9*w**2 - 3*w - 6. Calculate the remainder when t is divided by n(-2).
30
Suppose 16 = -12*v + 14*v. Let w(f) = -6*f + 70. Calculate the remainder when w(v) is divided by 5.
2
Let i(j) = j**3 + 12*j**2 + 5*j - 25. What is the remainder when i(-11) is divided by 16?
9
Suppose 0 = 3*f + 4*m + 86 - 103, 4*f = 2*m + 30. What is the remainder when 10 is divided by f?
3
Let u(g) = 31 + g - 34*g - 30. Calculate the remainder when u(-1) is divided by 18.
16
Let m = -1182 - -1194. What is the remainder when 164 is divided by m?
8
Let r = -15 + 108. Calculate the remainder when r is divided by 16.
13
Suppose 3*b + 2 = 2*u + 5, -u = -4*b + 9. Suppose u*g - 122 = -2. Suppose 3*d - k = 40, -4*d + 80 = d + 5*k. What is the remainder when g is divided by d?
12
Let z(d) = -28*d + 3. Let l = 12 + 12. What is the remainder when z(-5) is divided by l?
23
Let h(a) = a**3 - 2*a**2 + 19*a + 80. What is the remainder when 478 is divided by h(0)?
78
Let n = -42 - -47. Suppose -80 - 130 = -5*q - b, n*q + 2*b = 215. What is the remainder when q is divided by 11?
8
Let s(u) = -u - 4. Let i be s(-8). Suppose -5*z + 49 = -i*z. Let b = -59 + 72. Calculate the remainder when z is divided by b.
10
Let a = -65 - -88. What is the remainder when a is divided by 6?
5
Let s(a) = -a**3 - 24*a**2 + 21*a + 52. Calculate the remainder when s(-25) is divided by 39.
35
Suppose 5*i - 2 - 18 = 0, 3*k = -4*i + 265. Calculate the remainder when 160 is divided by k.
77
Suppose -391*x + 400*x = 3213. What is the remainder when x is divided by 33?
27
Let l(s) = s**3 + 5*s**2 - 7*s - 4. Let b be l(-6). Calculate the remainder when 9 - (6/(-3))/b is divided by 2.
0
Let l = -70 - -73. Suppose 2*k - 319 = -2*n - 3*k, l*n + 5*k = 486. Calculate the remainder when n is divided by 57.
53
Suppose 808 = 63*d - 74. Calculate the remainder when 32 is divided by d.
4
Let s(v) = 31*v**2 + v - 1. What is the remainder when (2 - 56/12)/(4/(-138)) is divided by s(1)?
30
Let q(g) be the second derivative of 4*g**3/3 - 3*g**2 - 21*g. Calculate the remainder when 29 is divided by q(2).
9
Suppose 0 = 3*t + p - 137 - 61, -4*t + 264 = -p. Let y(f) = f**3 + 6*f**2 + f - 3. What is the remainder when t is divided by y(-5)?
15
Let n(x) = x**3 - 11*x**2 - 15*x + 6. Let s = -14 + 20. Let t be n(s). Calculate the remainder when 7 is divided by 2/7 - t/154.
1
Let t = -16 - -51. Suppose -11 = 2*l - 29. What is the remainder when t is divided by l?
8
Let w(p) = -p**3 - 8*p**2 - 8*p + 30. Calculate the remainder when 561 is divided by w(-8).
91
Suppose 5*m - 30 = -10, 3*n + 5*m - 59 = 0. Calculate the remainder when 102 is divided by n.
11
Let y(j) = -4*j - 4. Suppose 0 = 4*z - 2*b - 108, 32 = 13*z - 12*z + 2*b. Calculate the remainder when z is divided by y(-3).
4
Let j(p) = -p**3 + p**2 + 2*p + 4. Suppose -4 = d + 3*h - 38, 27 = d + 2*h. What is the remainder when j(-3) is divided by d?
8
Suppose -3 - 107 = -10*p. What is the remainder when 97 is divided by p?
9
Let c(i) = 4*i - 58. Suppose 33 = j - 3*d, -d = -j - 0*d + 23. What is the remainder when 41 is divided by c(j)?
13
Let l = 110 + -50. Let o(i) = -23*i**3 - 3*i**2 - 12*i - 11. Calculate the remainder when l is divided by o(-1).
18
Let j(l) = -l**2 - 52*l + 572. What is the remainder when j(-59) is divided by 23?
21
Suppose 5*m + 455 = -5*r, -6*m + m - 4*r = 450. Let a = -44 - m. What is the remainder when 125 is divided by a?
41
Let s = 629 - 605. Let t = -85 + 131. What is the remainder when t is divided by s?
22
Calculate the remainder when 132 is divided by 141/(5 - (2 - 0)).
38
Suppose 21*s - 17*s - 132 = 0. Calculate the remainder when s is divided by 9.
6
Let b(w) be the first derivative of w**2 + w + 5. Let m be b(2). Suppose m*q - 20 = 5*c, -8 = -5*c - 3*q + 12. Calculate the remainder when 1 is divided by c.
0
What is the remainder when 143 is divided by 30/9*1479/145?
7
Suppose -5*n + 62 + 443 = 0. Let p = n - 92. What is the remainder when 25 is divided by p?
7
Let t = -36 + 55. Calculate the remainder when 188 is divided by t.
17
Suppose 2*q + 2*q - 8 = 0. Suppose -d = 5*n - 4*n - 6, -q*d = 5*n - 21. What is the remainder when 62 is divided by n + (2 - 1) + 12?
14
Let o(n) = 4*n**2 + 16*n + 1. Suppose 27 = -4*b + 3. What is the remainder when o(b) is divided by 234/14 + 10/35?
15
Suppose -2*g = -j + 6*j - 15, 3*j - 47 = -5*g. What is the remainder when 2 - ((3 - 3) + -19) - 3 is divided by g?
8
Let g(k) = 13*k + 2. Let b(w) = -14*w - 2. Let o(x) = 3*b(x) + 4*g(x). Let j(m) = -32*m - 23. What is the remainder when j(-2) is divided by o(2)?
19
Let k be -49 - (1/1 - 5