 + 620 + 1380. Let y = 422 + k. What is the remainder when 108 is divided by y?
20
Suppose 0 = j + 5*j + 270. Let f be j/30*14/(-3). Suppose 0 = -f*g + 49 - 7. What is the remainder when 9 is divided by g?
3
Let o(y) = y**3 + 129*y**2 - 671*y - 55. Suppose 11 + 21 = 5*h - p, -8 = 4*p. Calculate the remainder when o(-134) is divided by ((-4)/h)/(1/(-30)).
19
Let a(u) be the second derivative of u**4/12 + u**3 - 5*u**2 + 64*u. What is the remainder when 149 is divided by a(5)?
14
Suppose -32 = -23*r + 21*r. Let l be -84*(2 - r/6). Suppose l = 4*d - 0*h + 3*h, -3*d = 3*h - 39. Calculate the remainder when 82 is divided by d.
14
Let l(a) = -10*a**3 - 2*a**2 + a + 1. Let m be l(-1). Suppose 2*p - 3*c = -m*c + 1, 5*p - 14 = -c. What is the remainder when 90 is divided by p?
0
Let f be -129*(-21)/((-189)/60). Let w = f - -900. What is the remainder when 132 is divided by w?
12
Let s(k) = 10*k - 132. Let w be s(13). Calculate the remainder when 20 is divided by (24/(-30))/(w/35).
6
Let w = 3 - 1. Let a(y) = -y**2 - 32*y - 133. Let s be a(-27). Calculate the remainder when (-6 - -82) + (w - s) is divided by 27.
22
Let g(x) = 5*x**2 - 90*x - 24. Calculate the remainder when 491 is divided by g(19).
65
Suppose y - 36 = -2*y. Let l = -22 + 24. Suppose 2*x = r - 7, -3 = -r - 0*r - l*x. What is the remainder when y is divided by r?
2
Let h be 9 - 12 - (1 - 11)/2. Suppose -h = -2*y, -g + 4*g = -3*y + 48. What is the remainder when 2/4 - -2*(-243)/(-12) is divided by g?
11
Let k = 25226 - 25194. Let b(i) = 3 + 2*i**2 - 6 - 2*i + 3*i. Calculate the remainder when k is divided by b(-3).
8
Suppose 0 = -2*u - 5*t + 51, 3*u - 4*t + t = 87. Let m = u - 16. Suppose -m = -2*b + 8. Calculate the remainder when 17 is divided by b.
7
Calculate the remainder when 9292 is divided by (-2)/4*(-13 - -19 - 230).
108
Suppose -3 - 5 = 2*j. Let a(h) = 81*h**2 + 1863*h + 10. What is the remainder when (-234)/j + (-2)/4 is divided by a(-23)?
8
Suppose -7*q = -21*q. Calculate the remainder when 18 is divided by (-9)/(45/(-70)) - (q - -5).
0
Let c = 9 - 7. Let k(m) = m + m + 1 + c. What is the remainder when k(2) is divided by 4?
3
Let t = -139 + -13. Let a = -146 - t. What is the remainder when a is divided by 6?
0
Calculate the remainder when 199 is divided by -5 + 366/66 + 236/11.
1
Let q = -4130 - -4209. What is the remainder when 787 is divided by q?
76
Let r = -4598 + 4612. Calculate the remainder when 795 is divided by r.
11
Let w(a) = 5*a**2 - 11*a + 39. Let k be w(9). Suppose k*z = 343*z + 212. Calculate the remainder when z is divided by 25 + 0 - (-1 - 1).
25
Suppose -229*p + 228*p - 4*h = -320, 3*p + h = 883. Calculate the remainder when 710 is divided by p.
126
Let i(o) = -o**3 - 8*o**2 + 9*o - 6. Let m be i(-10). Let l be ((-18)/3 - -3)/((-6)/m). Suppose -4*x + l = -32. What is the remainder when 145 is divided by x?
19
Suppose 0 = -5*d - z + 3, -5*d = -d + z - 3. Suppose -2*h = u - 0*h - 537, d = h + 1. Calculate the remainder when u is divided by 30.
29
Let c(t) = t**2 + 25*t + 3. Let n be c(-25). Suppose 2*v - 4*s + 42 = 4*v, -3*s = n*v - 78. What is the remainder when 83 is divided by v?
21
Suppose -8490 = -6061*i + 6046*i. Calculate the remainder when i is divided by 42.
20
Let u(v) = -v + 7. Let j be u(10). Let y be 10/3*j/2. What is the remainder when (1599/65)/((-1)/y) is divided by 18?
15
Let z = 16183 + -15390. Calculate the remainder when z is divided by 8.
1
Suppose 86 = -36*c + 1094. Suppose 0 = -c*x - 4*x + 192. Calculate the remainder when 125 is divided by x.
5
Let q(a) = -18*a**3 + a**2 - 20*a - 16. Let l be q(-4). Let n = -1166 + l. Calculate the remainder when n is divided by 9 + 1 + 1 + -1.
6
Let t(k) = -k**2 + 95*k - 1466. What is the remainder when 2685 is divided by t(75)?
33
Suppose 4*q - 4 = 2*x, 0 = -2*q + 5*x - 9*x + 22. Calculate the remainder when 316 + -6 + (7 - q) is divided by 106.
102
Let v = 50 - -38. What is the remainder when v is divided by 22?
0
Suppose -27 = 4*m - 119. Suppose -118*a + 25899 = 173*a. What is the remainder when a is divided by m?
20
Let b(f) = -106*f**2 - 3283*f + 108. Let s = 139 + -95. Calculate the remainder when s is divided by b(-31).
14
Let z = 1206 - 1812. Let k = 674 + z. Calculate the remainder when k is divided by 43.
25
Let l(i) = 14*i**2 + i**3 - i**2 - 12*i + 15 + 8*i**3 - 10*i**3. Suppose 4*b - 130 - 98 = 0. What is the remainder when b is divided by l(12)?
12
Let b = 285 - 269. Suppose 0 = -5*l + 4*x + 152, -2*l + 86 = 3*x + b. Calculate the remainder when l is divided by 21.
11
Let o = -124 + 345. Suppose o = 26*y - 13*y. What is the remainder when 25 is divided by y?
8
Let v = 79 + 32. Let b = v + -96. What is the remainder when 53 is divided by b?
8
Let r = 1521 + -1513. Calculate the remainder when 759 is divided by r.
7
Suppose 5*j + 0*j = -2*d + 120, -3*d + 187 = 4*j. What is the remainder when (-1)/5*-2 + 2574/d is divided by 9?
4
Let c(r) = 2*r**2 + 16*r - 10. Calculate the remainder when 309 is divided by c(-9).
5
Suppose 15*s = 2*z + 20*s - 63, 6 = -z + 5*s. What is the remainder when 3776 is divided by z?
14
Let o(u) = u**3 + 2*u**2 - 5*u - 11. Let t be o(-2). Calculate the remainder when 101 is divided by (37 - 1) + t/1.
31
Let b(t) = t**2 + 2*t + 4. Suppose 34*o + 470 = 708. What is the remainder when b(-5) is divided by o?
5
Let o = 3945 + -3469. Calculate the remainder when o is divided by 163.
150
Suppose -2*d + 11 = 39. Let n be 11 + d - (-39 - 1). Let r = n + -18. Calculate the remainder when 56 is divided by r.
18
Let t(x) = 5*x**2 - 3*x. Let p = -26501 + 26521. Calculate the remainder when t(3) is divided by p.
16
What is the remainder when (2/(-10))/((-26)/(-65)) - 136236/(-24) is divided by 20?
16
Let k(t) = t**3 - 8*t**2 - 12*t + 119. Let q = 1862 - 1130. Calculate the remainder when q is divided by k(9).
88
Suppose 0 = 3*r + 4*v - 206 - 26, -4*v - 440 = -5*r. Suppose 52*h - 1203 = 1033. What is the remainder when r is divided by h?
41
Let m be 234/(-65)*40/12. Let b(j) = -11*j + 26. Calculate the remainder when b(m) is divided by 29.
13
Let u(f) = f**2 + 24*f - 768. What is the remainder when u(-47) is divided by 42?
19
Let h be (-19)/7 - (-4)/(-14) - -6. Suppose z = -g + h, 0 = -3*z - g + 4 + 5. What is the remainder when 9 is divided by z?
0
Suppose -13*d - 24*d + 3274 + 2165 = 0. What is the remainder when d is divided by 49?
0
Let t = 872 - 737. Let a(w) = 10*w - 7. Let h = -7 + 10. What is the remainder when t is divided by a(h)?
20
Suppose 15*s - 6*s = 36. Suppose s*k + l + 4*l = -25, 4*k = 4*l + 20. Suppose -5*m + 6*m - 87 = k. Calculate the remainder when m is divided by 22.
21
Let y = -3446 + 3504. What is the remainder when y is divided by 2 + (-2 - -1) - -9?
8
Let j(n) = n**2 - 21*n - 17. Let q = 34 - 30. Let t be (-266)/(-12) - q/24. What is the remainder when 26 is divided by j(t)?
1
Suppose 12*s - 3 = 11*s + 2*a, 2*s - 2*a = 10. Calculate the remainder when 1403 is divided by s.
3
Let o = -355 - -360. Suppose -4*z + 5*w + 21 = 0, 27*z = 30*z - o*w - 12. Suppose 36 - 296 = -5*q. What is the remainder when q is divided by z?
7
Suppose 4*f = 5*f - 10. Let k(g) = g**3 + 19*g**2 + 17*g - 13. Let j be k(-18). Calculate the remainder when f is divided by -3 + 43/j + 24/(-40).
0
Let t be (-42)/(-147) + (-124)/(-7). Suppose -2*r - 3*h + t = 0, -2*r + 5*h = -4*r + 10. What is the remainder when 26 is divided by r?
11
Suppose -686*u + 9648 = -668*u. Calculate the remainder when u is divided by 21.
11
Suppose 0 = -509*r + 506*r - 15. What is the remainder when 106 is divided by 4 + (-61)/r - (-2)/(-10)?
10
Suppose 0 = 8*v - 4*v - 4*z - 4, -z = 3*v - 19. Let d(m) = m**3 + 4*m**2 - 14*m + 27. What is the remainder when d(v) is divided by 37?
34
Suppose 38*k = 35*k + 9057. What is the remainder when k is divided by 189?
184
Let f(r) = -r**3 - 6*r**2 - 10*r - 8. Suppose 5*x + 55 = 335. Suppose x = 2*h + 2*h. What is the remainder when f(-6) is divided by h?
10
Let l = 611 + -131. Suppose -2460 = -6*q - l. Calculate the remainder when q is divided by 26.
18
Suppose -m + 4*f = 7, 4*m - 20 = 3*m - 5*f. Let t(k) = 44*k**2 - 156*k - 4. Calculate the remainder when t(m) is divided by 11.
8
Let p(y) = 14 + 45*y**2 - 70*y**2 + 34*y**2 - 5*y. Let c be p(2). Suppose -5*u = 5*u - c. Ca