*l + 76 + 98 = 0. Calculate the remainder when l is divided by 43.
1
Let c = -130 + 486. Calculate the remainder when c is divided by 17.
16
Let d(x) be the first derivative of 6 - 5*x - 3/2*x**2. Calculate the remainder when d(-8) is divided by 11.
8
Let s be 682/(-4) + (-108)/72. Let w = -157 - s. What is the remainder when 26 is divided by w?
11
Suppose 3*d = b + 14, -10 = 2*b - 0. What is the remainder when 51 is divided by ((-3)/18*d - -1)*10?
1
Let q(w) = 2*w**2 - 4*w + 2. Let m be q(2). Suppose -4*r + 98 = f - 3, m*f = -3*r + 82. Let n = 54 - 45. What is the remainder when r is divided by n?
6
Suppose -13 = -m + 4*d + 5, 0 = 3*m - 3*d - 72. Calculate the remainder when 233 is divided by m.
25
Suppose 71*w - 208 = 55*w. Suppose 2*y + 236 = 6*y. Let q = y - 36. Calculate the remainder when q is divided by w.
10
Calculate the remainder when (-16)/5*(-14)/(196/1295) is divided by 33.
32
Suppose 2*c + 140 = 3*h, -5*h - 5*c + 208 = -42. Let i = h - 34. Calculate the remainder when 39 is divided by i.
11
Suppose 5*c + 5 = n, 4*n = -0*c + 2*c + 20. Suppose 3*v - 88 = -4*h, -5*v - 2*h + h + 158 = c. What is the remainder when v is divided by 18?
14
Suppose -234 = -3*y + 3*a, 2*y + 2*y + 2*a = 330. Let v = y - -117. What is the remainder when v is divided by 50?
48
Let x = 28 - 5. What is the remainder when x is divided by (-24)/60 - (-67)/5?
10
Let x(a) = 102*a**2 - 14*a + 14. Calculate the remainder when x(1) is divided by 8.
6
Let z = -1101 - -1174. What is the remainder when 361 is divided by z?
69
Suppose -6*q + 197 = 17. What is the remainder when 93 is divided by q?
3
Let w be 13 + -8 - 6/2. Suppose -r + 4*j + 100 = 2*r, -3*j + 78 = w*r. Suppose -3*l + r = -21. What is the remainder when l is divided by 10?
9
Calculate the remainder when 327 is divided by (-6)/(-1) - 0 - -24.
27
Let h(w) = -2*w**2 - 22*w + 2. Let v be h(-11). Suppose 86 = v*k - 0*k. What is the remainder when k is divided by 9?
7
Suppose 5*h + 5 = 6*h. Suppose h*d - 2 = -4*a, 2*d - 5*a = 4*d + 6. Calculate the remainder when 21 is divided by d.
1
Let d be 42/12 + 2/4. Suppose 0 = q + d*i + 37, 2*q + 2*i = -0*q - 56. Let s = 43 + q. Calculate the remainder when 70 is divided by s.
16
Let g be 16 + 2/(6/(-15)). Let i = 37 - g. Calculate the remainder when i is divided by 10.
6
Suppose 12*d - 75 = 10*d - 5*w, -3*w = -3*d + 102. What is the remainder when 198 is divided by d?
23
Let j(o) = o - 6. Let d be j(2). Calculate the remainder when 87 is divided by 2/(-3)*132/d.
21
Suppose -46 - 34 = -2*c. Let l = -14 - -19. Suppose -4*d + l*d = 21. What is the remainder when c is divided by d?
19
Suppose 0 = 3*m + 4*a - 6*a - 345, -2*m + 230 = -4*a. Calculate the remainder when m is divided by 55.
5
Let d = -732 + 830. Calculate the remainder when d is divided by 38.
22
Let u(i) = 4*i**2 + i. Let c be u(-1). Suppose 0 = 2*b + 3*x - 44, b - 22 = c*x - 7*x. Let o = b - 12. Calculate the remainder when 38 is divided by o.
8
Let b be (-1)/(4/8)*14/(-4). Let a(m) = 3*m**2 - 5*m - 24. What is the remainder when a(b) is divided by 15?
13
Let a(u) = u**3 + 7*u**2 - 10*u - 12. Let i be a(-8). Let m(l) = -l**2 + 8*l - 6. What is the remainder when 39 is divided by m(i)?
9
Suppose -2*p - 5*u - 87 = -96, -3*p + 2*u = -4. Calculate the remainder when 19 is divided by p.
1
Suppose 0 = u + 2*u - 57. Let v be (-1*6/4)/((-18)/84). What is the remainder when v/2*(-972)/(-63) is divided by u?
16
Suppose 0 = 5*c - 5*i - 410, -2*c - 169 = -4*c + i. Calculate the remainder when c is divided by 10.
7
Let j(g) = -g**2 + 20*g + 5. Let l be j(20). What is the remainder when 16 is divided by (-10)/l + (12 - 4)?
4
Suppose 0 = 4*c - b + 100 - 1168, -3*c - 5*b = -778. Calculate the remainder when c is divided by 81.
23
Let j(z) = -27*z + 36. Let s = 23 - 13. Calculate the remainder when j(0) is divided by s.
6
Let d be -2 - ((-2888)/20 + 10/25). Let a = d - 131. Calculate the remainder when 40 is divided by a.
7
Let b(j) = 4*j**2 + 18*j + 54. Calculate the remainder when b(-6) is divided by 31.
28
Let u = 193 - 131. Let o(f) = f**3 + 34*f**2 + f + 50. What is the remainder when u is divided by o(-34)?
14
Let x(p) be the first derivative of p**2/2 + 4*p + 274. Let l = -5 + 7. Calculate the remainder when 16 is divided by x(l).
4
Let x(r) = -17*r**3 + 2*r**2 + 2*r + 1. Suppose -5*g - 2*y - 5 = 0, 5*g + y + 4*y + 5 = 0. What is the remainder when -1 - (0 - 2 - 68) is divided by x(g)?
15
Suppose 0 = 1960*c - 1961*c + 156. What is the remainder when 582 is divided by c?
114
Let m(v) = v**2 - 15*v - 223. Calculate the remainder when 881 is divided by m(-11).
62
Suppose 0 = -0*v - 4*v + 124. Let w(n) = n**3 - 13*n**2 + 45*n - 10. What is the remainder when v is divided by w(6)?
7
Suppose 4*k + 4*i = 336, 0 = 5*k - 2*i - 462 + 77. What is the remainder when k is divided by 27?
25
Suppose 2*c - 4*t = c - 1, -7 = -2*c - t. Suppose c*s - 29 = 25. What is the remainder when 160 is divided by s?
16
Suppose -12 + 8 = -2*w. Suppose -6 = -w*q + k + 17, -4*q = 4*k - 76. What is the remainder when 40 is divided by q?
12
Suppose 4*r - 68 = -3*q, -8*r - 3*q + 82 = -3*r. What is the remainder when (24/(-20))/(6/(-195)) is divided by r?
11
Suppose 78 = 9*q - 12. Let c(g) = -g - 29. Let z(r) = 3*r + 58. Let s(f) = -5*c(f) - 2*z(f). What is the remainder when s(0) is divided by q?
9
Suppose -2*v + 7*v - 100 = 3*f, 3*f - 2*v = -85. Let p = -12 - f. What is the remainder when 88 is divided by p?
10
Suppose -3*w = -h - 223 - 477, 3*h = 6. What is the remainder when w is divided by 122?
112
Let o(u) be the third derivative of u**6/120 - 11*u**5/30 + 25*u**4/24 + u**3/3 - 16*u**2. Calculate the remainder when o(21) is divided by 18.
14
Let y = -146 + 168. What is the remainder when y is divided by 8?
6
Suppose -8*j = -5*j + 2*z - 69, z - 108 = -5*j. Let q be (1 - (-4 - -2))*-1. Let k(r) = -3*r + 3. Calculate the remainder when j is divided by k(q).
9
Let b(n) = -22*n - 7. Let h = -41 + 34. Calculate the remainder when b(h) is divided by 30.
27
Let d be (-3 + 20/4)*1. Let o(c) = 0*c + 3*c + d*c - 2*c. Calculate the remainder when o(3) is divided by 5.
4
Let f(p) = -p**3 + 48*p**2 - 44*p + 79. What is the remainder when f(47) is divided by 51?
16
Suppose 0 = 40*b - 2205 + 565. Calculate the remainder when 190 is divided by b.
26
Let r be (7 + -133)/(3/(-2)). Suppose 4*q = -5*n + 61, r = 5*n + 3*q + 22. Suppose 0 = -7*b + 2*b + 35. What is the remainder when n is divided by b?
6
Suppose -f - 10*f = -561. What is the remainder when 151 is divided by f?
49
Suppose -p + 85 = 4*p + l, 2*l - 10 = 0. Suppose -s = 2*t - 58, -2*t = 4 - 2. Calculate the remainder when s is divided by p.
12
Let a(s) = s**2 - s. Let x be (-26)/10 + (-12)/(-20). Calculate the remainder when -5 - -8 - (-51)/(-6)*-2 is divided by a(x).
2
Let y(q) = -5*q - 9. Let z be y(-7). Suppose v + 24 + z = 0. What is the remainder when 17 is divided by (v/(-5))/((-2)/(-1))?
2
Suppose -5*h + 55 = -3*f - f, 4*h = -5*f + 44. Let v = 11 - h. Suppose -3*b - 2*b + 5 = v, 0 = -5*s - b + 61. Calculate the remainder when 33 is divided by s.
9
Let x(a) = -3*a**2 - 54*a + 73. Suppose 3*k = m - 32, 3*m + 0*k - 2*k - 89 = 0. Calculate the remainder when m is divided by x(-19).
13
Calculate the remainder when (1/3)/((-3)/(-5157)) is divided by 82.
81
Let q(v) = -47*v**3 + 2*v**2 - v - 2. What is the remainder when q(-1) is divided by 29?
19
Let v = -653 - -660. What is the remainder when 173 is divided by v?
5
Let t(g) = -141*g + 11. Let u be t(-3). Suppose -18*z - 128 + u = 0. What is the remainder when 48 is divided by z?
14
Let b = 400 - 172. Calculate the remainder when 4/((8/b)/((-1)/(-3))) is divided by 13.
12
Suppose -5*p - 93 = -4*b, b + 13 = -3*p + 15. What is the remainder when 61 is divided by b?
10
Let n(q) = -q - 6. Let r be n(-3). Let m be (-9)/r*21/3. Suppose u + 5 = m. What is the remainder when 45 is divided by u?
13
Suppose -2*c = -0 - 8. Let q be c/(16/12) - -43. Let h = 80 - q. Calculate the remainder when h is divided by 12.
10
Suppose z - 5 = 4. Let u = z - 5. Calculate the remainder when 0 - (u - 1)*-3 is divided by 4.
1
Let t = 33 - 18. Let q(k) = k - 3. Let o be q(3). Suppose 5*a - 85 + t = o. What is the remainder when a is divided by 9?
5
Suppose -u - 461 = -4*r, -2 + 1