u + 90. Calculate the remainder when 116 is divided by r(-13).
0
Suppose 5*f = 3*a - 40, 29*f - 26*f - 24 = -3*a. What is the remainder when 129 is divided by a?
9
Let y(o) = o. Let q(k) = -5*k - 31. Let t(a) = -q(a) - 6*y(a). What is the remainder when t(9) is divided by 8?
6
Let u = -3 + 19. Let g = 31 - u. What is the remainder when (g - 5)*5/2 is divided by 9?
7
Let p(o) = o**2 + 5*o + 14. What is the remainder when p(-2) is divided by 7?
1
Calculate the remainder when 77 + (-121)/11 + (-6)/1 is divided by 21.
18
Suppose 0 = -2*f - 2*f + 156. Let h = 55 - f. What is the remainder when (-1)/(-3) + 728/12 is divided by h?
13
Let d(g) = -3*g**2 - 1. Let h be d(2). Let t(n) = -n - 13. Let w be t(h). Suppose w = -2*p + 13 + 3. What is the remainder when 36 is divided by p?
4
What is the remainder when 53 is divided by ((4/5)/(-1))/(6/(-135))?
17
Let y(x) = -x**3 + 6*x**2 + 22*x + 5. Calculate the remainder when 557 is divided by y(-3).
17
Suppose 7 = 3*p - 2*p. Let g(m) = -m**3 + 9*m**2 + 13*m - 33. Let z be g(10). Calculate the remainder when p is divided by 3 + 5 + z + 0.
2
Let k be (-2)/7 + (-32)/(-14). Suppose 15 + 23 = k*a. What is the remainder when 72 is divided by a?
15
Suppose 0 = 2*x - 6*x + 228. Let r = -45 + x. What is the remainder when 32 is divided by r?
8
Suppose -y + 2*u = -0*y + 15, -2*u = -2*y - 20. Let q(m) = 3*m + 27. Calculate the remainder when 56 is divided by q(y).
8
Suppose 0 = 3*s - 142 - 425. Let d(i) = -i**3 + 6*i**2 + 6*i - 7. Calculate the remainder when s is divided by d(5).
45
Let l = 35 - -19. Let s = l + -47. Calculate the remainder when 53 is divided by s.
4
Let b = 324 + 24. What is the remainder when b is divided by 81?
24
Suppose 8*n + 79 = -185. Let r = n - -59. What is the remainder when r is divided by 10?
6
Let r(w) = w**3 - 8*w**2 - 9*w + 3. Let d be r(9). Suppose -d*s + 5 = -58. Let i(u) = -u**3 + 4*u**2 + 8*u - 3. What is the remainder when s is divided by i(5)?
9
Let i = -70 + 85. Calculate the remainder when (-1)/(5/i)*106/(-3) is divided by 27.
25
Suppose 0 = -4*d - 2*p + 3*p + 105, 0 = 5*d + 3*p - 110. What is the remainder when 144 is divided by d?
19
What is the remainder when -6 - (-3424)/72 - (-8)/18 is divided by 10?
2
Suppose 0 = -0*m + m - 30. Let t = m + -18. Suppose -g = -9*p + 6*p - 31, 4*g - 3*p - 133 = 0. Calculate the remainder when g is divided by t.
10
Suppose -6*y + 6873 = 345. What is the remainder when y is divided by 9?
8
Suppose -63*z + 105*z = 3444. What is the remainder when 662 is divided by z?
6
Let b(w) = -w**2 + 2*w + 16. Let m be b(6). Let i(r) = 4*r**2 + 31*r + 9. Calculate the remainder when 81 is divided by i(m).
13
Calculate the remainder when 1239 is divided by -4 + 2*(0 - -11).
15
Let u(q) = -q + 3. Let h be u(19). Let b = h + 39. What is the remainder when 87 is divided by b?
18
What is the remainder when -4 - -65 - (-11 + 3) is divided by 27?
15
Let b(t) = t**3 - 40*t**2 - t + 10. Let a(o) = -o**3 - 4*o**2 + 6*o + 2. What is the remainder when a(-6) is divided by b(0)?
8
Let l be (-3 + 5)/(1 + -3). Let r = 9 + l. Suppose 3*o + 2 = o + 5*n, 2*n = -5*o + 24. Calculate the remainder when r is divided by o.
0
Suppose -1214 = -23*q + 442. Calculate the remainder when 269 is divided by q.
53
Suppose -q - d = -6, -d = -q - 0*q + 6. Suppose 2*n = 388 - 8. Suppose -4*c + n = q. What is the remainder when c is divided by 12?
10
What is the remainder when 2/(-16) - (10 + 4004/(-32)) is divided by 79?
36
Let k = 118 - 71. Suppose 3*w = 2*y + 153, 2*y - 159 + k = -2*w. Let q = -3 + w. Calculate the remainder when q is divided by 13.
11
Let x be ((0 + 0 - 3) + 0)*-175. Suppose -x = -10*p + 3*p. What is the remainder when p is divided by 39?
36
Let v(a) = a**2 - 3*a + 7. Let k be v(4). Suppose -28 = -3*n + k. What is the remainder when n is divided by 8?
5
Suppose -2*y = 2*s + 22, 2*s + 0*y = 2*y - 34. What is the remainder when 0 + 1 - (4 - 30) is divided by 136/14 - s/49?
7
Let z(i) = 2*i**2 - 347*i - 3590. What is the remainder when z(-10) is divided by -1 + 43 - (-1 + 0)?
37
Suppose 0*f - 7*f + 637 = 0. Calculate the remainder when f is divided by 25.
16
Let f(y) = 4*y + 5. Let o(v) = 2*v + 2. Let m(k) = 3*f(k) - 7*o(k). Suppose -3*a + 99 + 42 = 0. What is the remainder when a is divided by m(-8)?
13
Suppose s + 0*s - 12 = -3*a, 3*s = a + 6. Let d = 6 - 4. Suppose 0 = d*h - 2. What is the remainder when a is divided by h?
0
Suppose -435 = -2*d - 3*p, 6*p + 867 = 4*d + 9*p. What is the remainder when d is divided by 17?
12
Let b be -9 - (-1 - 2/1). Let v be 9/(27/26)*b. Calculate the remainder when 1/((16/v)/(-4)) is divided by 7.
6
Suppose 102 + 18 = 6*j. What is the remainder when j is divided by 11?
9
Suppose -5*u + 4*u = 148. Let y = u - -327. What is the remainder when y is divided by 15?
14
Suppose 156*z + 4530 = 186*z. What is the remainder when z is divided by 76?
75
Suppose 0 = 2*f - 8*n + 3*n - 95, -4*n + 140 = 2*f. Suppose 2*s = -6 - 0, 0 = -3*b + 5*s + f. Calculate the remainder when 55 is divided by b.
10
Suppose -4*o + 16 = 5*s, 7*o - 2*s = 3*o - 12. Calculate the remainder when 38 is divided by 16 + -7 + (0 - o).
8
Let z(o) = -2*o**3 + 64*o**2 + 2*o - 45. What is the remainder when 128 is divided by z(32)?
14
Let q(r) = r**3 + r**2 + 4*r + 429. Let c be q(0). Suppose 2*u + u = c. Calculate the remainder when u is divided by 36.
35
Let w be (4 - -116)/3 - 4. Let l = w + -30. What is the remainder when l is divided by 3?
0
Let h be 4/2 + 0/3. Let n = h - -1. Let x(t) = 7*t + 91. What is the remainder when x(-12) is divided by n?
1
Let z = 23 + -11. What is the remainder when (0 - -5) + (6*15)/(15 + -14) is divided by z?
11
Let t(m) = -11*m - 30. Let z(g) = 5*g + 15. Let p(s) = 3*t(s) + 7*z(s). Let b = -2 + 17. Calculate the remainder when p(13) is divided by b.
11
What is the remainder when 177 is divided by 178*(210/20)/21?
88
Let o = -59 + 62. Suppose 5*q = 4*i - o*i + 143, 0 = 5*q + 5*i - 125. What is the remainder when 111 is divided by q?
27
Let f(y) be the first derivative of -10*y**2 - 11. Let b be f(1). Calculate the remainder when 67 is divided by -3 - b/((-2)/(-2)).
16
Let s = 59 + -30. Suppose 7*m - 42 = -0*m. Calculate the remainder when s is divided by m.
5
Let z be (2/4)/((-5)/(-29 - 1)). Suppose 5*i - 46 = -z*t + 2*t, 0 = 5*t + 4*i - 125. What is the remainder when 103 is divided by t?
19
Let u(f) = f**2 - 23*f + 34. Let b = 0 - -2. Suppose b*i + 12 = 3*i. Calculate the remainder when u(23) is divided by i.
10
Suppose -56 = 5*i + 244. Let x = 97 + i. Calculate the remainder when x is divided by (32/2 - -5) + (-6)/3.
18
Suppose 0 = 5*j + 3*c - 140 - 135, 0 = c. Calculate the remainder when 105 is divided by j.
50
Let i(z) = -z**3 + 7*z**2 - 6*z - 6. Suppose v - 3 = 0, -4*x - x + 28 = v. Calculate the remainder when i(x) is divided by (9 - 3)*(-4)/(-6).
2
Suppose -h - 2*q + 28 = 2*h, 80 = 5*h - 5*q. Let g = -216 - -251. What is the remainder when g is divided by h?
11
Let y = -41 - -47. Suppose -y*x = -68 - 10. What is the remainder when x is divided by 6?
1
Suppose -5*s = 5*o, -s + 3*o - 3 = -5*s. Calculate the remainder when 59 is divided by s.
2
Let g(i) be the third derivative of -2*i**2 + 5/24*i**4 - 1/120*i**6 + 0*i - 1/30*i**5 + 0 - 1/6*i**3. Calculate the remainder when 19 is divided by g(-4).
8
Suppose 4*n - 2410 = 2*f - 28, 2*f - 1200 = -2*n. Calculate the remainder when n is divided by 30.
27
Suppose 450 = 18*a - 0. What is the remainder when 296 is divided by a?
21
Let h = 66 + -36. Let t(v) = v**3 + 19*v**2 + 2*v + 26. Let w be t(-19). Let c = w + 69. What is the remainder when c is divided by h?
27
Let o be 5/15*(0 + 3) + 77. Let z = o - 57. Calculate the remainder when 82 is divided by z.
19
Let s(d) = d**2 + 3*d + 5. Suppose -3*l = -19 - 56. Calculate the remainder when l is divided by s(-4).
7
Suppose 0 = -28*b + 26*b - 16. Calculate the remainder when 91 is divided by (-12)/((b - -3)/5).
7
Suppose -2*h + t = -305, 0 = 5*h - 2*t + 7*t - 740. Calculate the remainder when 3 + h/5 + (-20)/(-25) is divided by 18.
16
Let j(b) = b**3 - b**2 + 6*b. What is the remainder when 168 is divided by j(3)?
24
Suppose -v - 18*v + 228 = 0. Calculate the remainder when 243 is divided by v.
3
Let l = -4 + 17. Suppose t + 48 = 3*t. Calculate the