*j = 8*j - t. What is the remainder when 12 is divided by j?
0
Let x(m) = m**3 - 6*m**2 + 5*m + 3. Let g be x(5). Let j = g - -10. Suppose -3*h = j - 37. What is the remainder when 31 is divided by h?
7
Suppose 0 = -4*t + p - 4*p + 25, -2*p = -4*t + 10. Suppose -42 = -t*c - 2*r, c + 2*r - 10 = 2. What is the remainder when 28 is divided by c?
8
Suppose 37*i - 630 = 32*i. Let n = i - 106. What is the remainder when 97 is divided by n?
17
What is the remainder when 14/(-49) - 3536/(-28) is divided by 43?
40
What is the remainder when 1/((-2)/4) - (-277 + -12) is divided by 16?
15
Let r(q) = -q**2 - 9*q + 6. Let a be r(-6). Suppose -3*y + a = -y. Calculate the remainder when 44 is divided by y.
8
Suppose -16*q = -3*q - 1274. Suppose 0 = -3*t + q + 142. Calculate the remainder when t is divided by 21.
17
Suppose 2*h + 2*r = 126, h + 4*r = 21 + 36. What is the remainder when h is divided by 26?
13
What is the remainder when 254 is divided by 77 + -6*(-40)/(-24)?
53
Let m = -5 - -24. Calculate the remainder when m is divided by (2 - -1)*(-385)/(-105).
8
Let l = 0 - -7. Suppose 4*s = l - 47. Let z = s + 14. Calculate the remainder when 15 is divided by z.
3
Suppose -a = 4*u - 19, 2*u - 3*a - 28 = -3*u. Let h(p) = -p**3 + 5*p**2 + 5*p - 5. Calculate the remainder when h(4) is divided by (18/(-10))/(u/(-25)).
4
Suppose -4*w + 130 = -2*u, 3*w = -2*w + 2*u + 161. What is the remainder when 244 is divided by w?
27
Suppose 6*n = 2*n - 60. Let i = n - -20. Calculate the remainder when 9 is divided by i.
4
Suppose -4 = 2*u - 3*m, 4*u + m - 19 = 1. Suppose 2*d + 34 = 6. Let k = -8 - d. What is the remainder when k is divided by u?
2
Suppose -i - o - 5 = -14, 0 = 2*i - o - 27. Calculate the remainder when i/1 + (2 - (-8)/(-4)) is divided by 5.
2
Let d(g) = 2*g**3 - 8*g**2 - 16*g - 10. Calculate the remainder when 67 is divided by d(6).
29
Let b = 29 - 9. Let q = b + -12. What is the remainder when q is divided by 3?
2
Suppose k - 88 = 3*k. Suppose -2*n = -n - 3*z - 10, -2*n = z - 20. Calculate the remainder when 2/((-6)/(-9)) - k is divided by n.
7
What is the remainder when 274 is divided by ((-4)/(-6))/((-32)/12912)*-1?
5
Suppose r + 132 = 5*k - 47, -4*k + 160 = -5*r. Calculate the remainder when k is divided by 15.
5
Suppose 0 = -2*n + 20 + 4. Suppose f + 0*f = n. Let y = 9 + f. Calculate the remainder when 62 is divided by y.
20
Suppose 42 = 7*d - 420. What is the remainder when d is divided by 23?
20
Suppose 0 = 18*n - 1321 - 605. What is the remainder when n is divided by 23?
15
Let t = 87 - 72. What is the remainder when 22 is divided by t?
7
Suppose -5*t - 4*l + 3199 = 0, -6*t + 2*l + 3223 = -t. Calculate the remainder when t is divided by 23.
22
Let n(i) = i. Let u(y) = 11*y - 3*y - 2 + 11 - 9*y. Let d be u(8). What is the remainder when 1 is divided by n(d)?
0
Suppose 2 = -5*z + 27. Suppose -32 = -z*s + 153. Suppose 0 = 7*h - 2*h + 4*u - 62, -3*h + 39 = 3*u. What is the remainder when s is divided by h?
7
Let l(b) = 48*b**2 - 1. Suppose 33*s - 8052 = -11*s. Calculate the remainder when s is divided by l(-1).
42
Suppose -3*g = 5*s + 135, -3*g - g - 180 = s. Let y = g - -138. What is the remainder when y is divided by 19?
17
Let b = -66 + 271. Let h = b + -82. Calculate the remainder when h is divided by 32.
27
Let q(a) = -37*a**3 + a**2. Let x(r) = -3*r**3 - 4*r**2 - 7*r. Calculate the remainder when q(-1) is divided by x(-2).
16
Let b = -27 + 70. Let d(i) = 2*i**2 - 2*i - 1. Let t be d(-1). Suppose 55 = 5*l - 5*u, -2*l - 3*l + t*u = -63. What is the remainder when b is divided by l?
13
Suppose 0 = -5*l - 20, -10*l + 14*l + 131 = 5*q. What is the remainder when 98 is divided by q?
6
Suppose -2*d = -2 - 10. Suppose 2*u - d*u + 4 = q, 0 = -3*u - 3. Calculate the remainder when 22 is divided by q.
6
Let x = 58 - 5. Suppose -29*v + 278 = -128. Calculate the remainder when x is divided by v.
11
Suppose 0 = 4*k - 12, -4*z + z - 3*k = -39. Let u(n) = -n**2 + 9*n - 8. Calculate the remainder when z is divided by u(7).
4
Calculate the remainder when (1 - 3) + (39 - -11) is divided by 4.
0
Let h = -51 - -57. What is the remainder when 78 is divided by 16/(1 + 1) - h/(-3)?
8
Let v be (-1 - 2/(-8))/(2/(-56)). Let l = 29 - v. What is the remainder when 15 is divided by l?
7
Suppose -2*s + 3*s + 2*y - 80 = 0, -5*y - 185 = -3*s. Calculate the remainder when s is divided by 12.
10
Let j = -19 + 68. Let a(r) = -64*r + 349. Calculate the remainder when j is divided by a(5).
20
Suppose 4*c = 4*z - 192, -3*z + 5*c + 38 = -116. Let t be 28 - (0 - -4 - 6). Let u = -15 + t. Calculate the remainder when z is divided by u.
13
Let l = 586 - 439. What is the remainder when l is divided by 5?
2
Let g = -27 + 82. Let n = -436 - -444. What is the remainder when g is divided by n?
7
Suppose -29 = -3*a + 97. Let z(c) = c**3 - 18*c**2 - 19*c + 15. What is the remainder when a is divided by z(19)?
12
Suppose 10*z = 2*z + 3560. Suppose -4*t + z + 55 = 4*l, 512 = 4*l + t. What is the remainder when l is divided by 44?
41
Let y = -82 - -62. Let o = -13 - y. What is the remainder when 10 is divided by o?
3
Suppose -3*g + 5*t = 4*t - 241, t - 333 = -4*g. Calculate the remainder when g is divided by 57.
25
Let t = -32 + 41. Suppose 0 = 5*z + 3*l - 18, l = z + 5*l + 10. Calculate the remainder when ((-20)/z)/(2/(-21)) is divided by t.
8
Suppose -3*v = g + 13 + 2, -5 = -g + v. Suppose -5*u = 5*n - n - 235, g = -5*u + 15. Suppose -15*w + 16*w = 14. What is the remainder when n is divided by w?
13
Suppose 11*n - 332 = 372. Let a(s) = 8*s**2 + s - 4. Let r be a(4). Suppose 5*b - r = -2*i, i = -b - 4*b + n. Calculate the remainder when i is divided by 22.
20
Suppose -16*l - 8120 = -22904. What is the remainder when l is divided by 58?
54
Suppose -6*l - 915 = -11*l - 5*j, 0 = j + 4. What is the remainder when l is divided by 9?
7
Suppose -16*c + 11*c = 25, -5*p + 310 = 5*c. Calculate the remainder when 166 is divided by p.
32
Suppose 28 = -5*k + 9*k. Let z(p) = p**2 - 2*p - 14. What is the remainder when z(-7) is divided by (-34)/8*(k - 11)?
15
Let i(r) = 2*r**2 + 18*r - 16. Calculate the remainder when i(-21) is divided by 70.
68
Let o = 15 + -14. Let x be (-2 + 4)*1/o. Let p = 11 - x. Calculate the remainder when 33 is divided by p.
6
Let m = -17 + 20. Suppose 0 = 3*y + 3*x - 48, -y = 4*y - m*x - 72. What is the remainder when 73 is divided by y?
13
Suppose 14*y = -659 + 2017. What is the remainder when y is divided by 17?
12
Suppose -i + 144 = -0*v + 4*v, -3*i - 12 = 0. Suppose -u - 22 = -4*u - 2*t, 0 = -u - 2*t + 6. Calculate the remainder when v is divided by u.
5
Suppose -2*t + 2*h + 3*h + 413 = 0, -t - 5*h = -214. Calculate the remainder when t is divided by 17.
5
Suppose 12 = -2*x - x, 2*b - 4992 = 2*x. What is the remainder when b/12 - -2*(-3)/(-18) is divided by 30?
28
Let q(w) = 3*w**2 + 7*w - 7. Let p be q(6). Let b be p/26 + 2/(-4). Let z(g) = -g**3 + 4*g**2 + 6*g + 2. Calculate the remainder when 11 is divided by z(b).
4
Let p(t) be the first derivative of 2 + t**2 - 14*t - 2*t**2 + 23*t. What is the remainder when 61 is divided by p(-6)?
19
Let y be (-18)/15*135/(-18). Let d = 5 + y. What is the remainder when d is divided by 6?
2
Suppose -4*p + 2*p = -58. What is the remainder when 258 is divided by p?
26
Let z be (2 + 0)/(-4) - 270/20. Let s(u) = u**2 + 11*u - 34. Calculate the remainder when 61 is divided by s(z).
5
Let h(f) = -3*f**3 - 2*f**2 + 16*f + 24. Calculate the remainder when 173 is divided by h(-2).
5
Suppose -18533 = -27*g - 7085. Calculate the remainder when g is divided by 25.
24
Suppose -m - 2*r = -51 - 36, -72 = -m + 3*r. Let g(f) = f**2 + 4*f - 4. What is the remainder when m is divided by g(-8)?
25
Let l(c) = -7*c - 23. Calculate the remainder when l(-23) is divided by 31.
14
Suppose -68*f = -66*f + 6. Suppose 3*u + 2 + 7 = 0, 3*z - u = 21. What is the remainder when (33/z)/(f/(-18)) is divided by 18?
15
Let f(j) = -j**2 - j - 1. Let y be f(-2). What is the remainder when y/2*404/(-6) is divided by 26?
23
Let q = 23 - -83. Let f = -85 + q. Calculate the remainder when f is divided by 12.
9
Suppose 0 = 5*x - 150 + 95. What is the remainder when 34 is divided by x?
1
Suppose 2*d - 13 = -a, a + 0*a - 5*d + 8 = 0. Suppose 204 = 2*p + 4*s, 196 = 2*p - s + 3*s. Le