t c(h) = -2*h - 30. Let d(n) = 7*c(n) + 2*z(n). What is the remainder when 8 is divided by d(-17)?
0
Suppose -2*u + 23 = -7. Let d(a) = 2 + 2*a**3 - 5*a**3 + 2*a**2 + 3*a + 0*a**3. What is the remainder when d(-2) is divided by u?
13
Let i = 67 - 11. Suppose 140 = -3*q + 152. Suppose 0 = -q*s + 32 + 44. What is the remainder when i is divided by s?
18
Suppose -r + 2*h = -181, 14*r - 15*r + 186 = -h. Calculate the remainder when r is divided by 60.
11
Let s(q) = -q**2 - 16*q - 1. Let d be s(-5). Suppose 4*v = -5*i + 352, -26 - d = -i + 4*v. Let f = -8 - -23. What is the remainder when i is divided by f?
12
Calculate the remainder when 11 is divided by (11 - (-4 + 28)) + 17.
3
Suppose 4*t + 57 + 87 = 2*p, 5*p - 366 = 4*t. What is the remainder when 136 is divided by p?
62
Suppose -12*a + 17*a = -80. Let s(o) = o**2 + 10*o - 21. Suppose -u + 21 + 5 = 0. What is the remainder when s(a) is divided by u?
23
Suppose 6 - 4 = j. Let w be (j/3)/((-2)/(-9)). Suppose 2*h = -k + w, -h + 2*k = 3*k - 2. What is the remainder when 3 is divided by h?
0
Let t = 88 - 84. What is the remainder when t is divided by 4?
0
Suppose 3*f - 19 = 4*y, -55 = -5*f - 0*f - 5*y. Calculate the remainder when 78 is divided by f.
6
Let q(u) be the second derivative of u**4/3 + 7*u**3/6 - 29*u**2/2 - 22*u. What is the remainder when q(3) is divided by 8?
4
Let f = -18 + 20. Suppose -z + 10 = 2*k - 0*z, f*z = -3*k + 17. Let x = -7 + 13. Calculate the remainder when x is divided by k.
0
Suppose 6*n + 10 = n. Let g = 38 - n. What is the remainder when 78 is divided by g?
38
Let x = -38 - -121. Suppose x - 47 = 4*r. What is the remainder when 16 is divided by r?
7
Let v = 492 - 481. Calculate the remainder when 415 is divided by v.
8
Let w(b) = -10*b - 35. Let o be w(-6). Suppose -2*i + o + 37 = 3*m, -i + 2*m = -17. Calculate the remainder when 44 is divided by i.
19
Suppose 0*a = -3*a + 9, 0 = -3*v - 4*a + 222. What is the remainder when (v/(-3) - 3/(-9))/(-1) is divided by 6?
5
Suppose 4 = c, -3*g + 2*c + 1163 = -407. What is the remainder when g is divided by 24?
22
Let v(q) = -11*q - 4. Suppose -4*r + r - 30 = 0. Let p be v(r). Suppose 3*u = 4*u - 2*z - p, -5*u + 518 = -4*z. What is the remainder when u is divided by 35?
32
Suppose -4*a - 4*z = -612, 0 = -2*a + a + 4*z + 143. Suppose -5*d - 96 = -2*b, -3*b - 3*d + a = -7*d. Calculate the remainder when b is divided by 11.
9
Let o be 4420/(-17)*2/(-2). Suppose o = -62*j + 66*j. Calculate the remainder when j is divided by 22.
21
Suppose 2*j + 3*k = 2*k + 187, -205 = -2*j + 5*k. Calculate the remainder when j is divided by (18 + 0)*5*14/105.
11
Suppose -2*z + 12 = 2*z. Let f(l) = -2*l + 21. Let p be f(6). What is the remainder when 2/p + 176/18 is divided by z?
1
Let k(c) = -4*c + 29. What is the remainder when -1 - (3/(-3) + -18) is divided by k(6)?
3
Let a(z) = -21*z - 108. What is the remainder when 44 is divided by a(-7)?
5
Let y be 3 - 5/((-30)/126). Suppose -2*c + c = -3. Suppose f + 6*v - y = 2*v, -f - c*v = -24. Calculate the remainder when f is divided by 9.
6
Let z = -1 - -11. Let g(n) = n - 1. Suppose -18 = -5*r - 4*i + 82, -3*i - 65 = -5*r. What is the remainder when r is divided by g(z)?
7
Let m(g) = g + 21. Suppose y = a - 12, -y + 3*a - 2 = -0*y. Let d = -9 - y. What is the remainder when m(-7) is divided by d?
6
Let o(j) = 5*j**2 - 149*j - 595. Suppose -5*v - 2*r + 76 = -2*v, 32 = v + 4*r. What is the remainder when o(-4) is divided by v?
9
Suppose -37*x + 6*x + 775 = 0. Calculate the remainder when 71 is divided by x.
21
Suppose -4*z + 27 = 7. What is the remainder when 58 is divided by z?
3
Let n(m) = 31*m + 1. Let b = -201 - -262. What is the remainder when b is divided by n(1)?
29
Suppose 2896 = 7*w + 9*w. Calculate the remainder when w is divided by 26.
25
Suppose -84 = -m - 4*f, -6*m - 5*f = -m - 345. Suppose 8*l = -n + 4*l + 38, 0 = 3*n + 2*l - m. What is the remainder when 105 is divided by n?
15
Suppose 5*t - 27 = -f, -f - 1 = -3*t - 12. Let g(q) = 4*q - 4. What is the remainder when g(9) is divided by f?
15
Suppose -o - j + 12 = 0, 4*j + 9 = -o + 18. Calculate the remainder when 22 is divided by o.
9
Suppose -73*h + 246 = -67*h. Suppose 27 = 3*u + 5*w, -5*u - 23 = w - 90. What is the remainder when h is divided by u?
13
Let u(z) = -6*z - 52. What is the remainder when u(-10) is divided by 2?
0
What is the remainder when ((-12)/(-14))/(3/378) is divided by 23?
16
Let c(n) = n**3 - 7*n**2 + 9*n - 15. Suppose 11*z = 12*z - 6. What is the remainder when 6 is divided by c(z)?
0
Let c(l) = 3 + l + 11*l**2 - l**3 - 4 - 3 - 4. Calculate the remainder when 10 is divided by c(11).
1
Let z be ((-6)/(-5))/(33/110). Suppose v = -w - z*w + 37, -39 = -5*w - 2*v. Suppose -26 = -3*n + w. What is the remainder when 43 is divided by n?
10
Suppose 0 = -5*n - 5*x, -2*n - x - 2 = n. Let r be 36 + (2 - 3)*n. Suppose -r = 4*v - 173. Calculate the remainder when v is divided by 18.
16
Suppose 0 = -4*x + 36 + 20. Let g = x - -25. Calculate the remainder when g is divided by 21.
18
Let u(b) = b**2 - 14*b + 51. What is the remainder when 180 is divided by u(14)?
27
Let f(m) = -6*m + 24. Let p be f(4). Let u(w) = -w**2 + 3*w + 29. What is the remainder when 316 is divided by u(p)?
26
Let h be 0/(0/5 + -1). Suppose h = -2*g + 4*d + 28, -18 = -5*g - 4*d + d. What is the remainder when 21 is divided by g?
3
Let t = 43 - 38. Suppose -h + 25 = t*r, 2*h + 5*r = r + 50. What is the remainder when 71 is divided by h?
21
Let u = -185 + 298. Suppose 417 = -5*d - 4*b, -d + b - 402 = 4*d. Let l = -52 - d. Calculate the remainder when u is divided by l.
26
Suppose -2*s - 6 = s, 176 = 2*q + 5*s. What is the remainder when q is divided by 49?
44
Let n = -72 - -655. Calculate the remainder when n is divided by 65.
63
Let y(u) = u**3 - 12*u**2 + 29*u - 74. Calculate the remainder when 252 is divided by y(10).
12
What is the remainder when ((-512)/14 - 2)*(-2 + -5) is divided by 16?
14
Let z = 700 - 654. What is the remainder when z is divided by 18?
10
Let i = 209 + -87. Suppose 0 = -5*n - 3*b + 203, 0 = 3*n + 2*b - 0*b - i. What is the remainder when n is divided by 22?
18
Let i(n) = 9*n - 6. Let l be i(4). Suppose -l*t + 27*t = -288. What is the remainder when t is divided by 14?
12
Calculate the remainder when 55 is divided by (-2040)/(-144) - 1/6.
13
Suppose 0 = -2*k, 3*b = k - 24 + 84. Calculate the remainder when 76 is divided by b.
16
Let j be (2/4)/(2/20). Suppose -a = -2*d + 9, -j*d + 0*a = 2*a. Suppose u = d*u - 35. Calculate the remainder when u is divided by 12.
11
Suppose -x - w + 654 = x, -4*w - 336 = -x. Suppose -4*p + 2*s = -0*p - 266, 5*p - 4*s = x. What is the remainder when p is divided by 23?
22
Let g = -18656 + 18741. Let x = 10 - -19. What is the remainder when g is divided by x?
27
Let b = -2809 - -3212. What is the remainder when b is divided by 132?
7
Suppose y - 59 - 2 = 0. Calculate the remainder when y is divided by (-87)/(-203) + (-288)/(-14).
19
Let a be 11 + -1 + (-16 - -12). Suppose 4*v - 404 = -4*l, -2*l - 4*v - 428 = -a*l. Calculate the remainder when l is divided by 21.
20
Let d = -37 - -41. Suppose m - 5*f = -m + 33, 99 = 5*m + d*f. What is the remainder when m is divided by 7?
5
Let v(d) = d**3 - 6*d**2 + 6*d - 4. Let g be v(5). Calculate the remainder when 39 is divided by (g - 0) + (-42)/(-3).
9
Let o(m) = m**3 + 20*m**2 - 21*m + 20. Let g be o(-21). Suppose -2*r = g - 66. What is the remainder when r is divided by 6?
5
Suppose 15*s - 497 = 2533. Calculate the remainder when s is divided by 9.
4
Suppose y = -3*z - 17, -2*z - 40 = 4*y - 4*z. Let b = y + 9. Let o(l) = -5*l + 1. What is the remainder when 52 is divided by o(b)?
8
Let u(w) = 4*w**2 - 45*w - 14. What is the remainder when 173 is divided by u(12)?
19
Suppose -90*n = -3*s - 94*n + 152, -s = -n - 39. Calculate the remainder when 174 is divided by s.
42
Let a(b) = b**3 + 10*b**2 - 6*b - 88. Calculate the remainder when 172 is divided by a(-9).
31
Suppose -2*n + 10 = -6. Let c = -8 + 18. What is the remainder when n is divided by c/(-4)*78/(-65)?
2
Calculate the remainder when ((-1820)/8)/(-7)*4 is divided by 33.
31
Let f(z) = -2*z - 8. Suppose 3*b = -3*c + 66, 40 = -5*b + 15. What is the remainder when c is divided by f(-11)?
13
Suppose -26 + 40 = g.