ate the remainder when y is divided by s.
12
Let y(l) be the first derivative of l**4/4 - 6*l**3 - 3*l - 6. Let b be y(18). Calculate the remainder when (-1)/b*159 - -2 is divided by 19.
17
Suppose -4*b + 72 = -4*a, -3*b + b = 2*a - 40. Suppose 4*w + 14 = 42. Suppose -b = -4*t - w. What is the remainder when t is divided by 1?
0
Suppose x = 20 + 8. Let p = 5708 - 5693. Calculate the remainder when x is divided by p.
13
Let x(q) = 16*q + 175. What is the remainder when x(-6) is divided by 40?
39
Suppose -3*l + 73 = -n, -2*l - 2*l - 2*n + 84 = 0. Let b(a) = -a + 19. What is the remainder when l is divided by b(10)?
5
Suppose -214 = 10*y - 304. Calculate the remainder when 377 is divided by y.
8
Let g = 5 - -2. Let a = -5 + g. Suppose -i + a*u = -18, 6*i - 3*i - 54 = -2*u. Calculate the remainder when 71 is divided by i.
17
Let s(m) = m**3 - 4*m**2 + m - 4. Let d be s(4). Let c = d + 103. What is the remainder when c is divided by 21?
19
Let l = -37 + 38. Let d(p) = -13*p**3 + 1. Let c be d(l). What is the remainder when 61 is divided by (1*c)/((-3)/2)?
5
Let w = -42 + 48. Suppose 7*j + w = 48. Calculate the remainder when ((-48)/(-20))/(6/40) is divided by j.
4
Let p(j) = 17*j - 4. What is the remainder when p(5) is divided by 14*-4*(1 - (-11)/(-8))?
18
Let t(u) = u**2 - 7*u + 6. Let q be t(6). Suppose 3*k + q*k = 168. Suppose 3*z - 82 = -5*i, -45 - 10 = -2*z - 3*i. What is the remainder when k is divided by z?
27
Let i(d) be the third derivative of d**6/120 - d**5/12 + d**4/6 - d**3/2 + 2*d**2. What is the remainder when i(5) is divided by (-7)/((-14)/6) - (3 + -6)?
5
What is the remainder when 206/2 - (-5 - (4 - 7)) is divided by 44?
17
Let k(z) = -z**3 - 14*z**2 - 19*z + 6. Let n be 0/(-1) + 0 + 37. Let x = n + -8. Calculate the remainder when k(-13) is divided by x.
26
Calculate the remainder when 27 is divided by -3 + 0 - (3 - 46/2).
10
Suppose -5*w = -l + 77, -2*l - 26*w + 30*w + 160 = 0. What is the remainder when 160 is divided by l?
78
Let j(m) = m**3 + 5*m**2 - 19*m - 1. What is the remainder when 104 is divided by j(-7)?
2
Let s = -26 + 20. Let c(q) = -19*q + 13. Let d be c(s). Suppose 0*b - 4*t + 30 = b, 5*b - d = 3*t. Calculate the remainder when b is divided by 7.
5
Let m(j) = 5*j - 1. Let k(f) = -f**3 + 8*f**2 - 5*f - 3. Let x be k(7). Calculate the remainder when m(x) is divided by 14.
12
Let j = 6 + -10. Suppose p + 6 = 5*s, -2*s = 4*p - 39 - 25. Let x = j + p. Calculate the remainder when 18 is divided by x.
8
Suppose -2*l = 5*u - 38 - 148, 5*l = -2*u + 66. Suppose 0 = -3*z - z + 32. Calculate the remainder when u is divided by z.
6
Suppose 5*r = 3 + 412. Suppose -23*m = -22*m - r. What is the remainder when m is divided by 21?
20
Suppose -2*d = -5*d + d. Suppose 0 = -k - d + 6. Suppose -5*x + 20 = 0, -2*x - 94 = -5*c + 2*x. What is the remainder when c is divided by k?
4
What is the remainder when (2/((-16)/60))/(1/(-12)) is divided by ((-52)/(-12))/((2/(-6))/(-1))?
12
Suppose -45*x - 2*j + 12 = -41*x, 2*x = -2*j + 4. Suppose -4 = 2*b + 2, 2*d - 33 = 5*b. Calculate the remainder when d is divided by x.
1
Let q(z) = 3*z + 32. What is the remainder when 57 is divided by q(-9)?
2
Let a = 545 + -495. Calculate the remainder when 290 is divided by a.
40
Calculate the remainder when 14/28*700*(-4)/(-10) is divided by 48.
44
Let w(m) = -6*m**2 - 4*m - m**2 - 2 - 2*m**2 - 4*m - m**3. Let h be w(-8). What is the remainder when 7/((-7)/h) - -23 is divided by 9?
7
What is the remainder when 4/(5*(-6)/(-3825)) is divided by 73?
72
Let a = 1980 + -1685. What is the remainder when a is divided by 145?
5
Let g(r) = 2*r - 408. Let k be g(0). Calculate the remainder when 44 is divided by (k/8)/(-3*1).
10
Let d = -12 + 24. Calculate the remainder when 56/d*75/10 is divided by 12.
11
Suppose 7*m = -126 + 378. What is the remainder when m is divided by 17?
2
Let z(u) = u**3 + u - 2. Let s be z(2). Suppose 5*v + 2*g = -298, s*v = 3*v + 3*g - 278. Calculate the remainder when v/5*(-45)/18 is divided by 8.
5
Suppose -x + 10 = -4*k, -k - 1 = -x + 12. Let g(u) = 2*u**2 + 8*u - 9. What is the remainder when 7/x*196 - 0/2 is divided by g(-7)?
32
Let x be ((-2)/(-4))/((-3)/(-6)). Let o be x*(-6 - -3 - -5). Calculate the remainder when (-33)/(o/(0 + -2)) is divided by 18.
15
Let b = -18 - -16. Calculate the remainder when 1134/12 - (-1)/b is divided by 32.
30
Let u = 7 + 11. What is the remainder when (1 - 7/((-28)/(-6))) + 475/10 is divided by u?
11
Let y(r) = 2*r**3 - 88*r**2 + 2*r + 51. What is the remainder when y(44) is divided by 37?
28
Suppose 5*j = 54 + 76. Let i = j + 47. What is the remainder when i is divided by 30/4*(-30)/(-9)?
23
Suppose -7*b = -11*b + 128. Let r = b - -303. Suppose m + 4*m - r = 0. Calculate the remainder when m is divided by 23.
21
What is the remainder when 245/(-35) + 26/1 is divided by 19?
0
Let w(h) = -17*h + 40. Let o(u) = 8*u - 20. Let v(t) = 5*o(t) + 2*w(t). Calculate the remainder when v(13) is divided by 20.
18
Let y = -207 - -226. What is the remainder when 94 is divided by y?
18
Suppose 2*u = 37*s - 39*s + 18, 0 = -3*u + 3*s + 27. What is the remainder when 38 is divided by u?
2
Suppose -2*i + 2158 = 3*z, -10*z = 3*i - 14*z - 3237. Calculate the remainder when i is divided by 27.
26
Let h(n) = -n**3 - 11*n**2 + 11*n + 11. Let t = -23 + 11. What is the remainder when h(t) is divided by 8?
7
Let t be -1*(-3)/(-18) - 167/6. Let c(i) = i**3 + 26*i**2 - 58*i - 43. What is the remainder when 74 is divided by c(t)?
9
Suppose -10*k + k - 27 = 0. What is the remainder when (-1)/((-1)/(-51)*k) is divided by 10?
7
Calculate the remainder when 232 is divided by 13/(26/150) - (-2 + 0).
1
Suppose 2*u - 179 = -4*p + 3*u, -p - u + 51 = 0. What is the remainder when 53 is divided by p?
7
Let q(w) = 10*w - 19. Let c(k) = 9*k - 20. Let j(o) = 3*c(o) - 2*q(o). What is the remainder when 58 is divided by j(6)?
18
Suppose 6*d - 144 + 12 = 0. Suppose -5*y = -17 - 8. Suppose 231 = 4*b - 3*k, y*b + 0*k - k - 297 = 0. What is the remainder when b is divided by d?
16
Suppose -5*q = 2*n - 67, 3*n - 15 = -3*q + 18. Let d = -41 + 63. Let g = d - q. What is the remainder when g is divided by 2?
1
Let w be 901/(-102) - 2/12. Let d(b) = -5 - 5*b + 3*b + 9*b - 8*b**2 - b**3. Calculate the remainder when 25 is divided by d(w).
12
Suppose 0 = 9*h - 12*h + 51. Calculate the remainder when 84 is divided by h.
16
Let a(m) = 4*m + 70. Suppose g + 19 = b - 9, -5*b + 108 = 3*g. What is the remainder when a(12) is divided by b?
22
Let q(w) = -w + 15. Let s be q(7). Suppose -s*l + 5 = -3*l. Calculate the remainder when 0/(-1) - (-4 + 2) is divided by l.
0
Suppose -6*n = -19 - 23. Suppose 0 = -8*c + n*c. Suppose -7*x + 5*x + 76 = c. What is the remainder when x is divided by 10?
8
Suppose -3*q = 3*d - 75, -3*q + 91 = d + 76. What is the remainder when 116 is divided by d?
26
Let j(m) = m**2 - 11*m + 126. What is the remainder when j(0) is divided by 69?
57
Let f(y) = -y**2 + y - 1. Let x(l) = 6*l**2 - 10*l + 16. Let o(a) = 5*f(a) + x(a). What is the remainder when 26 is divided by o(4)?
5
Suppose 14*i + 114 = 20*i. Calculate the remainder when 87 is divided by i.
11
Suppose -c + 14 = 2*k + 4*c, -5*k = -5*c. What is the remainder when 77 is divided by (k - 4)*(-4)/(-8) - -27?
25
Let m(g) = -g**2 - 12*g + 13. Let s be m(-13). Suppose 3*y + v = -2, -3*v + s*v = y + 14. What is the remainder when y is divided by 1*(-3 + 6)/3?
0
Let i(z) = 2*z**2 + 9*z + 1. Let x be i(-5). Suppose -x = 3*s, -2*g - 2*s - 11 = -101. What is the remainder when 187 is divided by g?
46
Let g(q) = 4*q + 29. Let c be g(-5). Suppose -4*u = -3*d + 27, c*d - 12*d - 4*u + 3 = 0. What is the remainder when d is divided by 5?
0
Let w be (-165)/(-4) - (-1)/(-4). Let y be -7*(-4)/8*84/49. Suppose -y*f - 11 + w = 0. Calculate the remainder when 6 is divided by f.
1
Suppose 2*w + 272 = -5*s, -2*s + 188 = -5*s + 5*w. Let r = 94 + s. Calculate the remainder when r is divided by 11.
5
Suppose 5*o = -4*m + 87, 21 = 2*m - 0*o - 5*o. What is the remainder when (m/(-36))/(63/(-62) - -1) is divided by 8?
7
Let z(u) = -u**3 - 32*u**2 - 2*u - 57. Let y = 63 + -36. What is the remainder when y is divided by z(-32)?
6
What is the remainder when 13/(10 - (-79)/(-8)) is divided by 32?
8
Let b(s) = -s + 5