14).
28
Let g(h) = 1 - 12 + 0*h - h. Let t be g(-8). Calculate the remainder when ((-43)/3 - 3)*t is divided by 18.
16
Let q(u) = 12*u**2 - 1. What is the remainder when 87 is divided by q(1)?
10
Suppose 4 = -q - 3*n, -4*n + 0*n = 3*q - 3. Suppose -q*u = 2*b - 158, 4*b - u = 346 - 52. Calculate the remainder when b is divided by 38.
36
Suppose 5*m - 2*p = 61 + 4, 3*m - 39 = 2*p. What is the remainder when 15 is divided by m?
2
Let w = 527 + 164. Calculate the remainder when w is divided by 77.
75
Let f be ((-6)/(-4))/(1/(-26)). Let c = f - -69. Calculate the remainder when c is divided by 11.
8
Let t(f) = -8 + 1 - 5 + 3*f. Calculate the remainder when 12 is divided by t(5).
0
Suppose -5*k + k = 4*t, 2*t - 30 = 4*k. Suppose t*r - 148 = r. Suppose 2*y = -2*y - 2*q + 34, -4*q = -y + 4. What is the remainder when r is divided by y?
5
Let b = -49 + 54. What is the remainder when 34 is divided by b?
4
Suppose 13*o = 18*o + a - 160, o = 3*a + 48. What is the remainder when 64 is divided by o?
31
Let h = 1573 + -825. What is the remainder when h is divided by 10?
8
Let h = 302 + -283. Calculate the remainder when 163 is divided by h.
11
Suppose -102 = -19*s + 16*s. What is the remainder when s is divided by 13?
8
Let c = -1915 - -1984. Calculate the remainder when 89 is divided by c.
20
Let o(n) = n + 21. Let i(v) = -28*v - 1. What is the remainder when i(-1) is divided by o(-7)?
13
Suppose -6*f = -5*f - 3. Suppose -5*g - 94 = 4*d - 326, -f*d = 4*g - 173. Calculate the remainder when d is divided by 13.
11
Let l(g) = -2*g**3 + 0*g**3 + 3*g - 8 - 7*g**2 + 3*g**3. Let p be l(7). Suppose -p*t = -10*t - 96. Calculate the remainder when 93 is divided by t.
29
Let c(l) = l**3 + l**2 - 4*l + 3. Let j = 48 - 46. Calculate the remainder when 24 is divided by c(j).
3
Let p = 18894 + -18835. What is the remainder when p is divided by (-1 - 9*1)/(-1)?
9
Suppose -9*b + 261 = -342. What is the remainder when b is divided by 11?
1
Let i = -634 + 642. Calculate the remainder when 54 is divided by i.
6
Let l = -157 + 158. What is the remainder when 9 is divided by l?
0
Let s(l) = -19*l. Suppose -a + 28 = 4*g, -4*g - 5*a - 11 = -39. Calculate the remainder when s(-1) is divided by g.
5
Calculate the remainder when (-35)/(-140) + 3110/8 is divided by 28.
25
Suppose -r - z = -31, 9*z + 46 = r + 5*z. Calculate the remainder when 882 is divided by r.
32
Let z = 80 + 0. What is the remainder when z is divided by 19?
4
Suppose 4*u + u = 25. Suppose u*g + i - 149 = 0, -5*g + 0*g = 5*i - 145. What is the remainder when g is divided by 11?
8
Let a = 327 + -303. Calculate the remainder when 67 is divided by a.
19
Let a = 65 + -61. What is the remainder when 33 is divided by a?
1
Let z(g) = 3*g**3 - 4*g**2 + 6*g - 8. What is the remainder when z(5) is divided by 67?
29
Suppose -3*a = -h - 29, -5*a + 71*h = 72*h - 43. Suppose -359 = -5*k + 176. Calculate the remainder when k is divided by a.
8
Let j(f) = f**3 + 7*f**2 - f - 6. Let k be j(-7). Let a be 12 + k + (-6)/3. Let m = a - 7. What is the remainder when 15 is divided by m?
3
Suppose -3*d + 3*x - 15 = 0, -3*d + 2*d + 3 = 3*x. Calculate the remainder when ((-10)/(-2) + -1)/((-2)/d) is divided by 6.
0
Let k(f) = 3*f**2 - 23*f - 1. Let z be k(8). Let i = z - 3. What is the remainder when 8 is divided by i?
0
Suppose -3*d + 44 = -4*a + 9, 5*d + 3*a - 97 = 0. Calculate the remainder when 3*6*56/16 is divided by d.
12
Let a = -57 + 27. Let b = a - -109. Calculate the remainder when b is divided by 9.
7
Let o(k) be the first derivative of k**3/3 + 3*k**2/2 - 2*k + 3. Suppose -152 = -7*l + 163. Calculate the remainder when l is divided by o(-6).
13
Suppose 18 = -3*l + 3, -2*l + 348 = 2*d. Calculate the remainder when d is divided by 45.
44
Let c(a) be the first derivative of a**2/2 - 5*a - 7. Let o be c(5). Suppose o = 3*u + 6 - 48. What is the remainder when 41 is divided by u?
13
Suppose 8*j - 816 = 3*j + f, 5*j = 4*f + 819. What is the remainder when j is divided by 28?
23
Let r(t) = t**3 - 9*t**2 + 24*t - 10. What is the remainder when 69 is divided by r(6)?
17
Let k(o) = 43*o**2 + 10*o + 9. What is the remainder when 131 is divided by k(-1)?
5
Suppose 0 = -s + 2*h + 336, -2*s + 843 = h + 156. Calculate the remainder when s is divided by 43.
41
Let c = 23 - 8. Let o be (-3 + -5)*(-8)/16. Suppose -8*k = -o*k - 352. What is the remainder when k is divided by c?
13
Let t(j) = j**2 + 4*j + 2. Let d = 53 - 50. Calculate the remainder when d is divided by t(-4).
1
Let u = -86 + 112. Suppose 0 = -l + u + 37. What is the remainder when l is divided by 33?
30
Suppose a - 2 = -2*i, -i + 4*a - 19 = 2*i. Let b be 3/(i - 2) - -1. Suppose b = -2*y - 2*y + 48. Calculate the remainder when 33 is divided by y.
9
Suppose 11 = d + 4*u - 1, -2*d + 6 = 2*u. Suppose d = -2*g + 22 + 22. Suppose -168 = -5*v + g. Calculate the remainder when v is divided by 10.
8
Let a(v) = -43*v + 37. What is the remainder when a(-5) is divided by 17?
14
Suppose -5*q = 0, 2*q - 99 = -n + 67. Let l(f) = 2*f**3 - 3*f - 2. Calculate the remainder when n is divided by l(3).
37
Suppose 0 = 8*w - 24 - 0. Suppose t - w*p = 92, 2*t + 3*t - 422 = -4*p. What is the remainder when t is divided by 22?
20
Suppose -352*l + 174 = -346*l. Let r(h) = -h**3 - 9*h**2 - 3*h - 11. Calculate the remainder when l is divided by r(-9).
13
Let q = 354 - 323. Calculate the remainder when 557 is divided by q.
30
Suppose -21*q + 3*q + 34938 = 0. Calculate the remainder when q is divided by 27.
24
Let p(g) = -g. Let y be p(17). Calculate the remainder when 92 is divided by (64/20)/(-1 + y/(-15)).
20
Let q(c) = c**3 - 4*c**2. Let t be q(4). Suppose t*w + 5*w = 0. Suppose w = -5*u + 95 + 75. Calculate the remainder when u is divided by 12.
10
Suppose 17*t = 32*t - 195. Calculate the remainder when (2*-1 + 1)*-23 is divided by t.
10
Let b(c) = -c - 29. Let y(o) = o + 15. Let v(f) = 6*b(f) + 11*y(f). Let u(p) = -3*p**2 - 73*p + 58. What is the remainder when v(8) is divided by u(-25)?
7
Let b(m) = m**2 + 2*m - 16. What is the remainder when b(-13) is divided by 8?
7
Let o = -14 + 23. Calculate the remainder when 41 + 3 - (1 - (-3 - -2)) is divided by o.
6
Let s = 213 + -211. Calculate the remainder when 16 is divided by s.
0
Suppose -2*f + 18 = -n - 5, -5*f + n = -56. Suppose 51 + 333 = 4*c. What is the remainder when c is divided by f?
8
Calculate the remainder when 34 is divided by 21*(2*-1)/(1 + -3).
13
Let o(q) = -q**3 + 5*q + 2*q**2 + 0 - 4*q + 0. Calculate the remainder when o(2) is divided by (1*-2)/(-3 - -2).
0
Let h(l) = -16*l**3 - 2*l - 1 + 2*l**3 - 3*l**2 - l**3 + l**2. Suppose 0 = -45*y + 40*y + 20. What is the remainder when h(-1) is divided by y?
2
Suppose -2*n + 1 + 3 = 0. Let p = 41 - 22. Suppose -4*o - 3*c = -p - 126, -n*o + 3*c = -77. What is the remainder when o is divided by 13?
11
Suppose 0 = -0*p - 2*p, -j - 3*p = -33. Suppose v - 5*v = -272. Calculate the remainder when j is divided by 12/18 + v/6.
9
Suppose -z = 21*z - 6534. What is the remainder when z is divided by 15?
12
Let n be (-17)/4 + (-15)/20. Let a = -2 - n. Suppose -7*y = -3*y, -40 = -4*m - a*y. What is the remainder when 29 is divided by m?
9
Let w(h) = h**3 + 9*h**2 + 5*h - 13. Let z be (-3)/(1/(-1)) + (-2 - 7). Calculate the remainder when w(z) is divided by 6.
5
Let j be (-1*2)/(20/(-230)). Suppose -2*w + j = 1. Calculate the remainder when w is divided by 8.
3
Suppose 5*x - a + 67 - 719 = 0, 5*x = 5*a + 640. Calculate the remainder when 240 is divided by x.
109
Let r = 16 + -14. Let p(u) = u**3 + 4*u**2 - 2*u - 2. Calculate the remainder when 87 is divided by p(r).
15
Suppose 6 = -2*o + 4*o. Suppose o*x = -2*w + 3, -x + 38 = 5*w - 2. Calculate the remainder when (-555)/(-35) - (-2)/14 is divided by w.
7
Let r(q) = q**2 + 22. Suppose t = -0*t + 5*v + 15, 0 = 5*t + 3*v + 9. Calculate the remainder when r(t) is divided by 13.
9
Let w(h) = -4*h - 33. Let q be w(-8). Let o(y) = 69*y**2 + y - 1. Calculate the remainder when o(q) is divided by 10.
7
Let j(m) = -2*m**3 - 31*m**2 - 16*m + 13. Let g(s) = -s**2 - 25*s - 11. What is the remainder when g(-15) is divided by j(-15)?
27
Suppose c - 332 = -3*o, c - 4*c - 214 = -2*o. Suppose -25*d + 27*d = o. What is the remainder when d is divided by 12?
7
Suppose 91*d - 98*d