 = -7*n**3 + n**2 - n - 2. Let t be k(-2). What is the remainder when r(6) is divided by (9/5)/(12/t)?
8
Let j be (-18)/(-15)*5/2. Suppose j*i = -5*h + 49, -h - 3*h + 3*i = -50. Calculate the remainder when h is divided by 3.
2
Calculate the remainder when 104 is divided by (29 - 9) + -5*(-1)/(-1).
14
Suppose 14 = 5*g + 4. Suppose -28 + 76 = g*s. Let u = s + -12. Calculate the remainder when 45 is divided by u.
9
Suppose -5*d + 4*k = -0*d + 41, -5*k - 50 = 5*d. Let t = 47 + d. What is the remainder when t is divided by 8?
6
Let f(t) = -47*t**2 + 4*t + 2. Let j be f(-1). Let q = 69 + j. Calculate the remainder when 57 is divided by q.
17
Let z(a) = 4*a**2 - 25*a - 7. Let m be z(11). Suppose 2*w - 5*v - 133 = 0, v - m = -3*w + 6*v. What is the remainder when w is divided by 18?
15
What is the remainder when 69 is divided by (21/3)/(1 - 6/9)?
6
Suppose 16 = v + r, 8*v - 3*v = -3*r + 80. Let b = 16 - 11. Suppose 0 = b*i - 155 - 70. What is the remainder when i is divided by v?
13
Suppose -5*m + 4*z + 432 = -0*z, 4*m = 2*z + 342. Suppose -79*g - 105 = -m*g. What is the remainder when 41 is divided by g?
20
Suppose l + 3*n + 31 = 0, -82 - 82 = 4*l + 4*n. Let s = l + 85. What is the remainder when s is divided by 15?
9
Let f(u) = u**3 - 12*u**2 - 10*u - 15. Let r be f(13). Suppose -42*b + r = -39*b. What is the remainder when 29 is divided by b?
5
Let g = -23 - -17. What is the remainder when 160 is divided by (-166)/(-12)*2 - g/(-9)?
25
Suppose 2*j + 7 = 37. Let z = -12 - -15. What is the remainder when j is divided by z?
0
Let x = 369 + -321. Suppose 0 = -2*a + 6*a + 60. Let q = a + x. What is the remainder when q is divided by 17?
16
Suppose -2*v - 6 = 24*n - 26*n, -4*n = v - 32. Calculate the remainder when 136 is divided by n.
3
Let f be (-4 - 33/(-9)) + 16/3. Suppose -f*d = -13 - 32. Calculate the remainder when 25 is divided by d.
7
Let j(a) = -a. Suppose 2*l - k = 3*k - 6, 0 = 2*l - 3*k + 2. Suppose l*h + 23 = -42. What is the remainder when 51 is divided by j(h)?
12
Let r(u) = u**2 - 2*u + 4. Let y be 8/32*(11 - -1). Suppose -2*q - 12 = -y*q. Calculate the remainder when q is divided by r(3).
5
Suppose -3*n = 2*w - 63, 4*n - 5*n = -w + 34. Calculate the remainder when -1 - (-11)/(w/102) is divided by 13.
7
Suppose 4*x - x - 4*w = 427, 2*x + 4*w = 298. Suppose -x = -5*r + 20. Calculate the remainder when 64 is divided by r.
31
Let u(j) = 0*j + 4 + j + 15*j + j**3 - 17*j**2. Let p be u(16). Suppose r + 3*b = 18, -2*b + 2 + p = 0. Calculate the remainder when 15 is divided by r.
6
Let y(h) be the second derivative of -h**4/12 + 9*h**3/2 - 43*h**2/2 - 4*h. What is the remainder when y(20) is divided by 26?
19
Let f(i) = -i**3 - 3*i**2 + 3*i + 4. Suppose -2*m - b = -3*m + 52, 4*b = -12. Calculate the remainder when f(-6) is divided by m.
45
Suppose 0 = 2*i - 3*n - 164, n = -16*i + 20*i - 318. What is the remainder when i is divided by 50?
29
Let v(f) = -f**2 + 54*f - 146. Calculate the remainder when v(43) is divided by 11.
8
Let f = -719 + 166. Let s = 7 + 8. What is the remainder when f/(-14) + 2 + 1/2 is divided by s?
12
Let u(i) = i**2 + 7*i - 6. Let n be u(-8). Let p = n - 8. What is the remainder when (-459)/p*10/15 is divided by 27?
24
Suppose 8*u - 3*u = 80. What is the remainder when 58 is divided by u?
10
Let y(l) = -l**3 + 21*l**2 - 104*l - 20. What is the remainder when 144 is divided by y(12)?
4
Suppose n + 4*v = 29, -7 = -4*v + 5. Suppose -4*j - j + 30 = 0. What is the remainder when n is divided by j?
5
Suppose 12*v = 238 + 38. Calculate the remainder when 65 is divided by v.
19
Let r = -76 + 76. Suppose r = 5*b - 20 - 30. Calculate the remainder when b is divided by 2.
0
What is the remainder when (3 - -213 - -9) + 3 is divided by 34?
24
What is the remainder when 2/36 + (-43176)/(-432) is divided by 52?
48
Let h = -18 + 32. Let m(t) = -t - 17. Let b be m(-23). Suppose 48 = -b*x + 18*x. Calculate the remainder when h is divided by x.
2
Suppose 1428 = 4*w + 10*w. What is the remainder when w is divided by 43?
16
Suppose -3*j = 2*j - 80. Let l(i) = 15*i - 15. Suppose 2*q = 5*q - 12. Calculate the remainder when l(q) is divided by j.
13
Let w = -11 - -15. Suppose 141 = 3*z - 5*r + 41, 0 = -w*z - 2*r + 142. Calculate the remainder when z is divided by 12.
11
Let c(b) = -b**2 + 11*b + 2. Let z be c(10). Suppose 3*l + l = z, 5*g = 5*l - 5. What is the remainder when 13*9*g/6 is divided by 20?
19
Suppose -2*y = -40 - 92. Calculate the remainder when y is divided by ((-50)/(-3))/(7 + 133/(-21)).
16
Let v be (5 - 4/(-2)) + -3. Suppose 3*j + 4*g = 134, g + 147 = 8*j - v*j. Suppose -4*d = -2*d - j. Calculate the remainder when d is divided by 5.
4
Let s be (2/(-6))/((-8)/66)*36. Suppose -2*b + 5*b = s. Calculate the remainder when b is divided by 9.
6
Let g(r) = 2*r**3 - 8*r**2 + 11*r - 8. Let w be g(4). Calculate the remainder when (-6)/((w/15)/(-6)) is divided by 9.
6
Suppose 82*a = 80*a + 324. Suppose 6*p - a = 36. Calculate the remainder when 197 is divided by p.
32
Suppose 5*r = -2*u + 125, 0*u + 3*u + 4*r - 177 = 0. What is the remainder when 272 is divided by u?
52
Let q(i) = i**3 + 10*i**2 - 62*i - 63. Calculate the remainder when 603 is divided by q(-14).
15
Suppose 3*a + l = 8*a - 47, -7*a + 2*l + 67 = 0. Let f(k) be the first derivative of k**3 + 3*k**2 - 2*k - 1. What is the remainder when f(-5) is divided by a?
7
Let q be 5 - (-7)/((-28)/(-8)). Let f = 6 + q. What is the remainder when 51 is divided by f?
12
Let q(z) = -z**3 + 4*z**2 + 5*z + 2. Suppose -2*s + 4 = -6. Let l be q(s). Calculate the remainder when 83 + -2 + (-1 - l) is divided by 16.
14
Suppose 141 = -5*k + 8*k. Suppose -4*p + 64 = s + 2*s, -55 = -3*s + 5*p. What is the remainder when k is divided by (25/s)/((-2)/(-40))?
22
Suppose 5*h + v - 90 = 0, -191 = -2*h - v - 158. Suppose 2*y + s + s = 136, -4*y = 3*s - 276. What is the remainder when y is divided by h?
15
Let z be 1086/12 + 1/(-2). Suppose z = 14*k - 9*k. Suppose 0 = -0*q + q - 10. What is the remainder when k is divided by q?
8
Suppose -64*d + 4228 = -3516. Calculate the remainder when 478 is divided by d.
115
Let o = 85 - 93. What is the remainder when (-2)/o + ((-1389)/(-12) - -1) is divided by 24?
21
Let k = -3 - -1. Let y(d) = -12*d - 1. Let s = -776 + 782. Calculate the remainder when y(k) is divided by s.
5
Let i = 296 + -70. What is the remainder when i is divided by 38?
36
Let a = -73 - -112. Calculate the remainder when 935 is divided by a.
38
Let c(t) = -5*t + 29. Let y = 21 + -27. What is the remainder when c(y) is divided by 20?
19
Let t = 978 + -768. Calculate the remainder when t is divided by 71.
68
Suppose 5*c + 2*q - 57 = 0, -8*q + 25 = c - 11*q. Let p = 70 + -34. Calculate the remainder when p is divided by c.
10
Suppose -3*j = -5*a + 3*a + 386, -5*j = 0. Calculate the remainder when a is divided by 11.
6
What is the remainder when 6*(132/8 - 3) is divided by 41?
40
Suppose -4*l - 5*f - 22 = -458, f = -4*l + 420. What is the remainder when l is divided by 37?
30
Suppose 0 = -63*a + 51*a + 840. What is the remainder when a is divided by 21?
7
What is the remainder when -1077*(-60)/324 + 4/(-9) is divided by 68?
63
Suppose -r + 2*l = -58, -2*l + 145 = 3*r + 3. What is the remainder when r is divided by (-52)/(-6)*24/16?
11
Suppose -j + 15 = 4*j. Suppose -j*i + 14 = -i. Calculate the remainder when i is divided by 348/1566 + (-68)/(-18) + 0.
3
Let u(s) = -3*s + 35. What is the remainder when 73 is divided by u(5)?
13
Let p(y) = 2*y**2 - 78*y - 1. What is the remainder when p(43) is divided by 23?
21
Suppose -5*c + 5*p + 25 = -15, 4*c + 4*p = 8. Calculate the remainder when 97 is divided by c.
2
Suppose 4*p = -0*p - 332. Let s = -58 - p. What is the remainder when s is divided by 9?
7
Calculate the remainder when (-2 + 4)*(-5 + (-274)/(-4)) is divided by 16.
15
Suppose -3*n = 6*v - 10500, 2*v - 2*n - 3*n = 3488. What is the remainder when v is divided by 70?
69
Suppose -3*a - 5*d + 455 = a, -2*d = -5*a + 544. Let k = a + -61. Suppose -3*v + 31 + 44 = 0. What is the remainder when k is divided by v?
24
Let s(p) = p - 9. Let l be s(11). Suppose 0 = 3*c - y - 38, -l*c + 5*y + 70 = 3*c. What is the remainder when 41 is divided by (-1 + 2)*(c - -2)?
13
Let h = 27 - -34. Let a(z) be the first 