se v*z + 6 = 6*z. Calculate the remainder when z is divided by 1.
0
Suppose -3*u + a = -u + 69, -a = 2*u + 71. Calculate the remainder when (-25)/2*126/u is divided by 16.
13
Let c(k) = k**2 - 3*k - 1. Let z be c(6). Let j = z - 0. What is the remainder when 1 - -49 - 12/30*5 is divided by j?
14
Suppose 4*t = -4*y + 4420, -1090 = -t - 4*y + 6*y. Calculate the remainder when t is divided by 46.
42
Let p be 1 + (-298)/(-1)*(-7 - -10). Suppose 8*j - 57 = p. Calculate the remainder when j is divided by 20.
19
Let u = -37 + 64. Let o = u + -17. Calculate the remainder when 57 is divided by o.
7
Suppose 940 = 6*u - 374. What is the remainder when u is divided by 74?
71
Calculate the remainder when 6948/32 + 3/(-24) is divided by 20.
17
Suppose 352 + 298 = 5*j + 2*r, -j + 153 = 5*r. Suppose j = 4*x - 36. Suppose 3*y = 19 + 23. Calculate the remainder when x is divided by y.
13
Let y(i) = 2*i**3 - 5*i**2 - i - 4. Let v be (-81)/(-15) + (-8)/20. Let r = v - 1. Calculate the remainder when r is divided by y(3).
0
Let y be ((-3)/6)/(3/(-2))*-75. Let p = y + 59. What is the remainder when p is divided by 13?
8
Suppose 0 = 2*f - 14 - 14. Let s(o) = -o**2 + 15*o + 10. Calculate the remainder when s(f) is divided by 13.
11
Suppose -903 = -4*d + 237. Let q = d - 203. Calculate the remainder when q is divided by 17.
14
Suppose 12 = 6*l - 10*l. What is the remainder when 29 is divided by ((-50)/15)/(1/l)?
9
Suppose 20 = 4*d, -30 = -4*n + 2*d + 28. Suppose 5*r + 84 = r. Let s = r + 69. Calculate the remainder when s is divided by n.
14
Suppose 2*m = 4*a - 46, 0 = -a - 3*m - m + 16. Suppose 4*c + 3 + 1 = g, -c - 1 = -2*g. Calculate the remainder when 5/5 + 35 + c is divided by a.
11
Let t(z) = z**3 - 7*z**2 + 3*z + 29. What is the remainder when 114 is divided by t(6)?
4
Calculate the remainder when 378/(-630) - 263/(-5) is divided by 32.
20
Suppose 0 = -5*l + 17 + 3. Suppose -2*g = 3*h - 84, 0 = -2*g - 2*h + l*h + 84. Calculate the remainder when 82 is divided by g.
40
Suppose -153 = -c - 2*c. Suppose i - 36 = 4*u, 5*u + 11 = -3*i + c. Calculate the remainder when i is divided by 11.
9
Suppose 24 = 7*p - 67. Suppose -8 = 2*k, -6*k + 4*k = -5*f + 73. Let v = -10 + f. Calculate the remainder when p is divided by v.
1
What is the remainder when -210*10*(-132)/385 is divided by 103?
102
Let q(b) = 9*b - 46. What is the remainder when 306 is divided by q(12)?
58
Suppose -t = -4*o - 14 + 5, 11 = t - 5*o. Suppose 82 = -2*z + 92. What is the remainder when -5*((-9)/z)/(9/6) is divided by t?
0
Let m = -22 - -46. Let i = 4 + 91. What is the remainder when i is divided by m?
23
Let y(f) = f + 18. Let n be y(-6). Suppose -p - n = p. Let z = 33 - p. What is the remainder when z is divided by 8?
7
Suppose 3*o - 30 = 3*u - 0*o, -2*u - 17 = -o. Let l(x) = 4*x + 5 + 5*x**3 + 2 + 8*x**2 - 4*x**3. Calculate the remainder when 54 is divided by l(u).
26
Suppose 3*u - 2*y = 36, 0 = 5*u + 2*y - 0*y - 60. Let o = 66 + -61. Calculate the remainder when u is divided by o.
2
Calculate the remainder when 4 + 12/4 + 426/6 is divided by 61.
17
Let p = -1596 + 1772. What is the remainder when p is divided by 93?
83
Let d = 632 + -563. Calculate the remainder when 269 is divided by d.
62
Let f be (-2)/9 - (-168)/27. What is the remainder when f/(0 + -3)*-41 is divided by (-81)/(-6) - 7/(-14)?
12
Let k = 173 - 23. Calculate the remainder when k is divided by 17.
14
Let v(f) be the third derivative of f**5/60 + f**4/24 + f**3/3 + 7*f**2. What is the remainder when v(-3) is divided by 5?
3
Let g(i) = i**2 - 5*i + 6. Let o be g(4). Let d = 9 + o. Calculate the remainder when d is divided by 8.
3
Let s(b) = 3*b**2 - 6*b - 7. Let q be s(6). Calculate the remainder when 16370/q + (-6)/(-39) is divided by 51.
48
Let f(h) = 10*h + 45. What is the remainder when 56 is divided by f(-4)?
1
Let k be 0 + (7 - 4) + -3. Suppose 7*r - 623 + 49 = k. What is the remainder when r is divided by 21?
19
Let y(j) = 22*j**2 + 2*j - 1. Suppose 41*a - 1283 = 562. What is the remainder when a is divided by y(1)?
22
Suppose 20 = -5*v, 0 = -5*z - 8*v + 3*v + 30. Let b(s) = s**2 - 8*s - 5. What is the remainder when b(z) is divided by 4?
3
Let r be (2/(-5))/((-13)/65). Suppose -r*c + t = -24, c = -0*t + t + 12. Let m = 98 - 53. Calculate the remainder when m is divided by c.
9
Let u = -7 + 9. Suppose u*c - 17 = -2*c + y, -2 = 2*y. Calculate the remainder when 41 is divided by 3 - (c - 3) - -9.
8
Let t(v) = -6*v + 10*v + 16 - 3*v. Suppose 3*w + 2*o = 121, 0*w + 2*w - o = 90. What is the remainder when w is divided by t(7)?
20
Let h be 1*(-1)/((2/4)/(-1)). Suppose 24 = 2*k - 4*d, -5*k = -8*k + 3*d + 27. Calculate the remainder when ((-1 - 29)/h)/(-1*1) is divided by k.
3
Let c(v) = 47*v - 39. Calculate the remainder when c(4) is divided by 38.
35
Suppose -5*a = 23 - 138. Suppose a = 4*j - 53. What is the remainder when 92 is divided by j?
16
Let q = -131 + 50. Calculate the remainder when 56 is divided by (-1233)/q - 4/18.
11
Let w(l) = 3*l**2 + 5*l - 18. Calculate the remainder when 23 is divided by w(2).
3
Let j(y) = -y**3 - 6*y**2 - 28*y + 19. Calculate the remainder when j(-6) is divided by 45.
7
Let g = 1913 - 1751. Calculate the remainder when 498 is divided by g.
12
Suppose -4 = 2*q - 10. Suppose -372 = -m - q*m. What is the remainder when m is divided by 24?
21
Calculate the remainder when 281 is divided by (-19 + 28)*((-75)/(-9) - 2).
53
Let k(m) = 31*m + 111. What is the remainder when k(-2) is divided by 14?
7
Let z(h) = -21*h. Suppose -3*v = 6 - 0. Let a = -5 + 20. What is the remainder when z(v) is divided by a?
12
Let g(a) = -4*a + 20. Let k(z) = -z + 1. Let b(p) = g(p) - 5*k(p). Let h(i) = -i**3 - 5*i**2 + 10*i - 1. What is the remainder when h(-7) is divided by b(-8)?
6
Suppose -30 = -52*k + 50*k. Suppose -2*v = 6, 3*d - v - 2*v - k = 0. Let x(o) = -o**2 - 2*o + 2. What is the remainder when d is divided by x(-2)?
0
Let z = 345 - 330. Suppose h + 135 = -2. Let i = h + 194. Calculate the remainder when i is divided by z.
12
Suppose 70 = 2*h + 3*r - 61, 0 = -4*h + r + 241. Calculate the remainder when h is divided by 35.
26
Let n(z) = 4*z - 23. Calculate the remainder when n(12) is divided by (-53)/(-4) + 3/(-12).
12
Let s = -323 + 325. What is the remainder when 6 is divided by s?
0
Let h(i) = -i**3 + 14*i**2 - 18. Let t be h(14). Let r be (-3)/(-2*(-6)/(-76)). Let o = t + r. Calculate the remainder when 3 is divided by o.
0
Suppose -c + f + 41 = 2*c, 0 = 5*c + f - 55. Let d be 117 + 0/(-1) + 20/(-5). Let y = d - c. Calculate the remainder when y is divided by 26.
23
Let r be ((-16)/12)/((-4)/12). Suppose -r*k + 0*k + 12 = 0. What is the remainder when 3 - (2 + 4/(-2)) is divided by k?
0
Let s = -10 + 11. Suppose 4 + s = 5*n. Suppose 4*u = -3*h + 5, 3*h = -3 - 0. What is the remainder when u is divided by n?
0
Suppose -4*b - 18 = -7*b. Let n = -13 - -19. What is the remainder when n/12 + 134/4 is divided by b?
4
Let d(b) = -b**2 - 6*b - 3. Let z(y) = 4*y + 1. Let r be z(-3). Let f = r + 22. Calculate the remainder when f is divided by d(-3).
5
Let y be ((-12)/36)/((-2)/(-30)). Let r = y + 21. What is the remainder when 58 is divided by r?
10
Suppose -3*v + 7*q + 579 = 2*q, 4*v - 772 = 3*q. Calculate the remainder when v is divided by 21.
4
Suppose -2*d + 6*i - 3*i + 117 = 0, -3*d = i - 148. Calculate the remainder when d is divided by 18.
15
Suppose 15 = 3*h, 227 = 5*d + 3*h - 73. Calculate the remainder when 186 is divided by d.
15
Suppose -5*z + 1141 = 2*k, z - 1215 = -3*k + 516. Calculate the remainder when k is divided by 29.
27
Let p = 26 - 20. Calculate the remainder when 56 is divided by (3/5)/(p/150).
11
Let l(k) = -k**3 - 9*k**2 - 7*k - 10. Let s be l(-8). Let t = s - -34. Calculate the remainder when 45 is divided by t.
13
Let g(i) be the first derivative of 2*i**3/3 - 9*i**2/2 - 12*i + 4. Let u be g(9). Let n = u + -25. What is the remainder when n is divided by 23?
21
Calculate the remainder when 519/12 + (6 + -9)/12 is divided by 8.
3
Let g(y) be the third derivative of -y**6/60 + y**5/5 - y**4/24 + 11*y**3/6 + 10*y**2. Calculate the remainder when 38 is divided by g(6).
3
Let o(y) = y - 3. Let m be o(6). Suppose 0 = -2*v + m*j + 323, j + 0*j = -5*v + 816. What is the remainder when v is divid