*d + 5. What is the remainder when t(-3) is divided by w?
14
Suppose -4*u + 0*u + 72 = 0. Calculate the remainder when 4/6*(2388/24 - -1) is divided by u.
13
Let b(l) = l**3 + 10*l**2 + 1. What is the remainder when b(-8) is divided by 6?
3
Suppose 0*p + 2*p - 3*h - 134 = 0, 2*h - 236 = -4*p. What is the remainder when 609 is divided by p?
60
Let i(s) = 11*s - 9. Let d be i(3). Let o = d + -5. Suppose 5*l = 5*v + 80, -l + 5*l - 5*v - 69 = 0. Calculate the remainder when o is divided by l.
8
Let b(z) = -7*z + 12. Let l be b(0). Suppose -l*w + 3 + 45 = 0. What is the remainder when 5 is divided by w?
1
Suppose 2*l - 20 = -3*l. Let y(z) = -3*z - 7. Let h(q) = q**3 - 11*q**2 - 2*q + 16. Let r be h(11). Calculate the remainder when y(r) is divided by l.
3
Let z = 418 - 291. Let d(l) = -9*l**2 + 2*l + 1. Let v be d(3). Let k = z + v. What is the remainder when k is divided by 14?
11
Let x = 70 - -28. Let a = -38 + x. What is the remainder when a is divided by (3 - 2)/((-1)/(-21))?
18
Suppose 5*i - 409 = 3*b, -6*i + 3*b + 160 = -4*i. Suppose 4*v + 68 = 4*d, -3*d + 6*d + 5*v - i = 0. What is the remainder when 81 is divided by d?
18
Let r = -1370 - -1449. What is the remainder when 232 is divided by r?
74
Suppose -3 + 24 = o. Let n(i) = 5*i**2 + 74*i + 96. What is the remainder when n(-14) is divided by o?
19
Let j(l) = -22*l**3 - 4*l**2 - 18*l**3 + 39*l**3 + 8*l. Suppose -4*v - 13 = 11. Calculate the remainder when 69 is divided by j(v).
21
Suppose t - 136 = 4*l, -2*t + l + 3*l = -264. What is the remainder when t is divided by (-60)/24*156/(-15)?
24
Suppose -a - 11 = 10*d - 5*d, 3*a - 4*d = 24. Let s(u) = -21*u. What is the remainder when s(-1) is divided by a?
1
Let a(r) be the first derivative of r**4/4 + 7*r**3/3 - 7*r + 5. Let z be a(-6). Let b = z + -16. What is the remainder when b is divided by 8?
5
Let s = 49 - 16. Calculate the remainder when s is divided by (-2 + 1/1)/((-212)/1908).
6
Let c = -1570 + 1613. Calculate the remainder when c is divided by 32.
11
Suppose 0 = 4*s - 9*s + 100. Suppose 8*g - s = 3*g, 3*g = -x + 118. Suppose 0 = 4*q - x - 30. What is the remainder when q is divided by 9?
7
Let m(c) = -c**2 + 12. Let y be m(0). Let w be 45/(7 - 16) + 4. Let q = y + w. Calculate the remainder when q is divided by 4.
3
Suppose -k = -q + 2*q - 5, -17 = -k - 5*q. Suppose 3*b = -0*b - 5*l + 321, k*l = -4*b + 428. Calculate the remainder when b is divided by 18.
17
Let r(v) = v**3 + v**2 + v + 3. Let u be r(0). Suppose 0 = u*s + 57 - 210. Let w = s + 70. Calculate the remainder when w is divided by 31.
28
Let o be (-1 - (-1 - 0))/1. Suppose 5*j = 2*s - 14, j + o = -2. Calculate the remainder when (1/2)/(1/6) is divided by s.
1
Let i be 4/(-6) - 14/(-21). Suppose i = 5*t + 15, -4*d = t - 114 - 43. Let s = d + -27. Calculate the remainder when s is divided by 5.
3
Let c be 2/(-5*(-2)/20). Suppose u + 2 = c. Suppose 157 = u*x + x + 4*p, 2*p = -4*x + 226. What is the remainder when x is divided by 20?
19
Let h(k) = k**3 - 9*k**2 + 8*k + 2. Let i be h(8). Suppose 6*l - 24 = i*l. Calculate the remainder when (-21 + -9)*(-2 - 5/(-3)) is divided by l.
4
Suppose 3*y + 7 = 52. Let h be (5/(-3))/((-5)/y). Suppose -3*j + 51 = -h*o + 1, 0 = 4*j - o - 78. What is the remainder when 39 is divided by j?
19
Let a = -2193 + 2713. What is the remainder when a is divided by 56?
16
Suppose 150 = 4*j - 5*c, 36 = j + 4*c - 6*c. Suppose -11*s = -9*s - j. Calculate the remainder when 57 is divided by s.
17
Let i = -131 - -174. Suppose -5*t = -4*t - i. Calculate the remainder when t is divided by 22.
21
Let i = 23 - -16. Let u = i - 35. Suppose 3*m + u*h - 79 = 0, 5*m + 12 = -2*h + 139. Calculate the remainder when 48 is divided by m.
23
Let j = -471 - -477. Calculate the remainder when 13 is divided by j.
1
Let l(u) = 12*u - 44. What is the remainder when 611 is divided by l(6)?
23
Suppose 3*r + 3*d - 6*d + 366 = 0, -2*r - 244 = -5*d. Let o = 126 + r. Let t = 29 - 20. Calculate the remainder when t is divided by o.
1
Suppose -7*z = -z + 60. Let n(d) = -d**3 - 11*d**2 - 13*d - 3. Suppose -5*v + 11 = -9. What is the remainder when n(z) is divided by v?
3
Let s(x) = -x**3 - 5*x**2 + 4*x - 5. What is the remainder when 45*((-21)/(-70))/(2/4) is divided by s(-6)?
6
Let x be (-3)/(-6)*-2*15. Let u = x + 23. Let r(d) = -d + 17. What is the remainder when 42 is divided by r(u)?
6
Suppose 105 = 83*t - 78*t. Suppose -6 = o - t. Calculate the remainder when 104 is divided by o.
14
Suppose 2*y = -0*y - 6, -21 = -5*w - 3*y. Let x(b) be the first derivative of 5*b**2/2 - 13*b + 3. Calculate the remainder when x(7) is divided by w.
4
Suppose 4*r + 60 = 5*j, -20*j = -23*j - r + 53. What is the remainder when 1052 is divided by j?
12
Suppose -2*b + 0*b - 3*f = -75, 4*b - 125 = -f. Calculate the remainder when 89 is divided by b.
29
Suppose 3*l - 6 = 0, -5*y - 2*l = 4 - 33. Let i(t) = t**2 - 5*t**3 + 6*t**2 + 6*t**3 + 6*t**2 - 9 - 2*t. Calculate the remainder when i(-13) is divided by y.
2
Suppose 12 = i - 5*i, 24 = 3*y - 2*i. Let a = 17 - -6. What is the remainder when a is divided by y?
5
Calculate the remainder when 66 is divided by -22*2*22/(-44).
0
Suppose -3*g = -24*l + 25*l - 26, -3*l + 18 = 3*g. Calculate the remainder when 369 is divided by g.
9
Suppose -5*u + 64 = 424. Let d = u - -91. Calculate the remainder when 92 is divided by d.
16
Let a be (4/(-3))/((-2)/(-6)). Suppose -2*z + 3*o + 5 = 3, 4*o = 4*z - 8. Calculate the remainder when (70/a)/(z/(-8)) is divided by 9.
8
Let f(g) = 2*g**3 - 4*g**2 - 2*g + 2. Let c be 5*((-3)/1 - -4). Suppose 64 - 269 = -c*j. Calculate the remainder when j is divided by f(3).
13
Let a be ((-138)/115)/((-3)/10). Suppose -3*o = -a*s - 55, -5*o + 0*s = -2*s - 73. What is the remainder when 61 is divided by o?
9
Suppose 10*z - 15*z + 40 = 0. Calculate the remainder when 23 is divided by z.
7
Suppose -2*s - 152 = 3*l, 2*l = 4*l - 5*s + 114. Let y(u) = u**3 + 10*u**2 + u + 8. Let a be y(-10). What is the remainder when 50 is divided by a/(160/l - -3)?
24
Suppose -2*y - 9 = -5*n, 3*y - 2*n + 9 - 1 = 0. Let m be 2/(4/y) + -2. Let o(j) = -j**3 + 2*j + 3. What is the remainder when o(m) is divided by 14?
10
Suppose 0 = -16*p - p - 204. Suppose 2*n = 2*l + 90, 0 = -2*n + 3*l - 4*l + 102. Calculate the remainder when n is divided by (-3)/36*2 + (-158)/p.
10
Let y = -23 + 42. Let u(s) = s**3 - 7*s**2 - 10*s + 3. Suppose 20 = 4*g + 4*j, j + 49 = 2*g + 3*g. What is the remainder when u(g) is divided by y?
18
Let h = -2 - -73. Suppose -s - 6 - 67 = -3*m, -2*m = -4*s - 52. What is the remainder when h is divided by m?
23
Let b = -999 + 1036. What is the remainder when 291 is divided by b?
32
Let v = 1 + 1. Let f = v + -1. Let y = 32 + -31. Calculate the remainder when f is divided by y.
0
Suppose 3*r - 147 = k + 1121, 0 = -5*r - k + 2108. Calculate the remainder when r is divided by 27.
17
Let x = -49 - -64. What is the remainder when (30/(-9) - -3) + 1160/x is divided by 2/12 - (-595)/30?
17
Let h(w) = -w**2 - 23*w - 32. Calculate the remainder when 781 is divided by h(-20).
25
Suppose -3*o = -5*r - 361 + 2141, 0 = r - 2*o - 349. What is the remainder when r is divided by 19?
17
Suppose 25 = 4*l + 9. Suppose -l*u - 3*v = -247, -v = 3*u - 188 + 4. Let k(j) = j**3 + 6*j**2 + 2*j + 6. Calculate the remainder when u is divided by k(-5).
19
Suppose 0 = -v + 6*v + 685. Suppose 0 = 3*x + 125 + 109. Let t = x - v. What is the remainder when t is divided by 15?
14
Let c(b) = -2*b**2 - 2 + b**2 - 4*b**2 + 6*b**2 - 2*b. Let q = 55 - 48. What is the remainder when c(q) is divided by 17?
16
Let b = 86 + -64. Calculate the remainder when (-800)/15*6/(-5) is divided by b.
20
Let l(t) = t**3 - 8*t**2 + 8*t - 1. Let n be l(8). Let g = -186 + 122. Let m = n - g. What is the remainder when m is divided by 32?
31
Suppose 3*p + p - 20 = 0. Suppose -r + p*h = 10, r + 1 - 41 = -5*h. Let y(n) = -n**3 - 5*n**2 - 6*n - 1. Calculate the remainder when y(-5) is divided by r.
14
Let d = 675 - 606. What is the remainder when d is divided by 28?
13
Suppose -5*r - 5*l + 8*l = -164, 5*r - 172 = -l. Suppose 218 = 5*g - 112. What is the remainder when g is divided by r?
32
Suppose 0 = -5*f - 1 + 21. Suppose -4*n + 3*p + 322 = p, 5*p + 319 = f*n. Calculate the remainder when n is divi