4
Let y(t) = -t**2 - 4*t - 2. Let w be y(-4). What is the remainder when 5/10 - 65/w is divided by 9?
6
Let b = -91 + 155. Let x(o) = -5 - 1 + 4 + 4 - 10*o. Calculate the remainder when b is divided by x(-2).
20
Suppose -11 = -f + 3*x, -3*f + 2*x - 5 = -3. Let l = -2 - f. What is the remainder when (l - -2)*1*8 is divided by 11?
10
Suppose 4*x = 5*d - 34 - 28, 0 = -d - x + 16. Let o = 8 + d. Suppose -14 = -2*h + 10. Calculate the remainder when o is divided by h.
10
Suppose 0 = -2*v + 2*s + 240, 2*v - 169 = 4*s + 75. Calculate the remainder when v is divided by 30.
28
Let u = 28 - 3. Suppose -7*m = -4*m - 5*w - 14, -u = -5*w. Suppose 17 = 2*j - m. What is the remainder when 29 is divided by j?
14
Suppose 0*d - 49 = -4*d + 3*g, 5*d = -3*g + 95. Calculate the remainder when d is divided by 10.
6
Suppose -4*d - 2*a = -3*a - 123, 3*d - 3*a - 99 = 0. Suppose 16 = 2*j + 2*j, h + 5*j = 36. Calculate the remainder when d is divided by h.
14
Let d be ((-2)/4)/((-2)/24). Let s(h) = -3 + d*h - 5*h**2 + 0 + h**3 + 0. Calculate the remainder when 9 is divided by s(4).
4
Suppose 3*q = -3*r + 81, -2*r + 17 = -q - 40. What is the remainder when 82 is divided by r?
26
Let k = -45 - -102. What is the remainder when k is divided by 10?
7
Let l(d) = 17*d**2 - d + 1. Let r(v) = -13*v + 1. Calculate the remainder when r(-5) is divided by l(1).
15
Suppose -10 = -4*k - 5*h, 6*h - 7 = -3*k + 2*h. What is the remainder when 1 + -1 - (1 - 9) is divided by k?
3
Let i(p) = -2*p**3 - 6*p**2 - 4. Let t be i(-5). Let g = 36 + t. Suppose 2*j - x - 62 = x, 4*j + 4*x = g. Calculate the remainder when j is divided by 11.
10
Suppose -19 = -3*m + u + 18, 5*m - 61 = 2*u. Suppose -2*a - 444 = 3*d - a, -4*d + 5*a - 573 = 0. What is the remainder when 3/3 + d/(-3) is divided by m?
11
Let i = -39 + 47. What is the remainder when 31 is divided by i?
7
What is the remainder when 116 is divided by (-728)/(-24) - 3/9?
26
Let b(z) = z + 5. Let n(a) = 5*a**3 - 2*a**2 + 2*a - 1. Let x be n(1). Let y(w) = 2*w**2 - 5*w + 1. Calculate the remainder when y(5) is divided by b(x).
8
Let x = 20 + -9. Let p be -2 + -26 - (1 - 2). Let n = p + 48. What is the remainder when n is divided by x?
10
Suppose 5*z = 42 + 93. Let p(m) = m + 27. What is the remainder when z is divided by p(-12)?
12
Suppose -3*r = -2*r + 3. Let l be (2/r)/(6/(-36)). Suppose 5*s + 3 + 1 = -3*v, 2*v = -l*s - 4. What is the remainder when v is divided by 1?
0
Calculate the remainder when 39 is divided by (-1064)/(-77) - 4/(-22).
11
Let u(l) = l**3 - 8*l**2 + 9. What is the remainder when 14 is divided by u(8)?
5
Suppose 6*k - 4*k - 18 = -4*w, -5*k + 4*w - 25 = 0. Let u be (0/k)/((-6)/(-3)). Let q(v) = -v + 1. What is the remainder when q(u) is divided by 1?
0
What is the remainder when (-1 - 4) + 5 - -28 is divided by 6?
4
Suppose -3*n = 2*g - 7, -3*g + g - 2*n = -8. Suppose 101 - 236 = -g*w. What is the remainder when 51 is divided by w?
24
Let o be ((-1)/1)/((-2)/6). Suppose o*d - 6 = d. Calculate the remainder when (-1 - -2)*-2 - -6 is divided by d.
1
Let p(f) = -f**3 + 25*f**2 - 46*f + 17. What is the remainder when 84 is divided by p(23)?
16
Calculate the remainder when 94 is divided by ((-36)/(-21))/((-5)/(-70)).
22
Let f = 205 + -70. Calculate the remainder when f is divided by 35.
30
Suppose r + 13 = 4*x, 5*r - r - 3*x = 0. Suppose r*u - 4 = -m + 1, -2*u + 26 = -5*m. Suppose -85 = -4*v + u. What is the remainder when v is divided by 12?
10
What is the remainder when 133 is divided by (3 - 21)*12/(-8)?
25
Suppose 0 = 2*d - 3 - 3. Suppose 3*l - d*w - 36 = 0, 4*w + 4 + 0 = 0. What is the remainder when 20 is divided by l?
9
Suppose t + 51 = 4*t. Suppose -a + 3 = 8, 0 = 2*b - 4*a - 58. Let d = b - 13. What is the remainder when t is divided by d?
5
Let l = 3 - -2. Suppose 2*v - 3*j = j + 8, l*v = -4*j + 76. What is the remainder when 46 is divided by v?
10
Let h(d) = -4*d - 9. Let t = -8 + 0. Let s be h(t). Suppose 4*f = s - 3. Calculate the remainder when 13 is divided by f.
3
Suppose -n + 2*n = 8. Calculate the remainder when (-42)/(-2) + -3 + 4 is divided by n.
6
Let s(t) = 7*t**3 + 3*t - 6. Let r(x) = -8*x**3 - 4*x + 7. Let k(j) = 5*r(j) + 6*s(j). Calculate the remainder when k(3) is divided by 12.
11
Suppose -j + 2 = -3. Suppose 0 = -3*q + j*q - 6. Suppose q*m = 54 + 21. What is the remainder when 74 is divided by m?
24
Suppose 4*m = 47 - 11. Suppose l - 36 = -3*l. What is the remainder when ((-6)/m)/((-2)/51) is divided by l?
8
Let z(r) = -6*r + 5. Let s(m) = m - 1. Let t(f) = 5*s(f) + z(f). Let d be t(-3). Suppose -v = -d*v + 70. What is the remainder when v is divided by 12?
11
Suppose -w + z = -7, 4*z + 5 = -w - 13. Suppose 11 = -3*y + 3*f - 7*f, -3*y = 5*f + 16. Suppose -w*t = -y*t + 1. Calculate the remainder when 2 is divided by t.
0
Let i = 102 + -82. Suppose -3*q = -2*q - 5. Suppose -3*w + 6 = -5*h, 0 = w - 4*h - 0 + q. What is the remainder when i is divided by w?
6
Let u(k) = -2*k**2 + 10*k + 10. Calculate the remainder when 226/6 + 2/(-3) is divided by u(5).
7
Suppose 0 = 2*o - 3*s + 2*s - 1, -4*o + 4 = -4*s. Suppose -4*x - x + 410 = o. Calculate the remainder when x is divided by 28.
26
Suppose s + s - 6 = 0. Suppose 0 = j + s - 6. Let q(l) = l - 1. What is the remainder when j is divided by q(4)?
0
Let p be 0 + 16 + 0 - 3. Suppose -2*d = -2 - 2, k - p = 4*d. Calculate the remainder when k is divided by 8.
5
Let t be 7 - 6/(1 + 2). Let q(c) = -c + 3. Let z be q(0). Suppose t*k + 2*a - 44 = 0, -z*k + 3*a = -2*k - 19. Calculate the remainder when 27 is divided by k.
7
Let f be (-4)/14 - (-36)/(-21). Calculate the remainder when 6*(-2 + (-11)/f) is divided by 11.
10
Let c = 9 + 10. Calculate the remainder when 73 is divided by c.
16
Let j = -9 + 33. Calculate the remainder when j is divided by 6 + (2 - -2) + -1.
6
Suppose 0 = -d - y - 27, 5*d + 4*y + 136 = -0*y. Let c = 13 - d. Calculate the remainder when c is divided by 14.
13
What is the remainder when 88 is divided by 10/35 + 3/(21/124)?
16
Suppose 0 = 5*q - 5 - 125. Let c = -14 + q. What is the remainder when (1/2)/(2/136) is divided by c?
10
Let f(r) = 0*r + 1 - 9 - 2*r. Let c = -14 - -8. What is the remainder when f(c) is divided by 3?
1
Suppose -2*u + 5 = 3*u. Suppose -7*y + 152 = -3*y. Calculate the remainder when y is divided by (-99)/(-5) - u/(-5).
18
Calculate the remainder when 17 is divided by (-4)/6 + (-14)/(-3).
1
Suppose -2*b - 3*b = 5, 5*m - 3*b - 158 = 0. Let c be 12 + 2/(-2)*2. Let l = 21 - c. What is the remainder when m is divided by l?
9
Let n(z) = z**3 - 8*z**2 - 8*z - 6. Let a be n(9). Suppose 0 = 3*q - 6 - a. What is the remainder when 5 is divided by q?
2
Suppose 0 = 5*d - 4*b + 20, -3*d - d - 4*b - 16 = 0. Let o be 3*1*d/(-4). Suppose -i + o = -u - 0, 3*i = 2*u + 9. What is the remainder when i is divided by 2?
1
Suppose 54 = o - 4*d, -2*d - 3*d = 2*o - 134. Let u = -30 + 51. What is the remainder when o is divided by u?
20
Let u(a) = -a + 5. Let r be u(-5). Suppose -p = -2 - r. Calculate the remainder when 1*(-23)/(-1) - 0 is divided by p.
11
Let l be (9/(-3))/(1/8). Let m = l - -14. Calculate the remainder when (-5)/m + (-31)/(-2) is divided by 9.
7
Let r(n) = 56*n**3 + 2*n**2 - n. Let d(w) = -w**3 - w**2 + w. Let c(s) = 2*d(s) + r(s). Calculate the remainder when c(1) is divided by 14.
13
Suppose -7 - 9 = -2*n. What is the remainder when 13 is divided by n?
5
Let r = 9 - 8. What is the remainder when 2 is divided by 0 - (-3 - -1)*r?
0
Suppose -3*v - 4*a = -50, 3*a - 36 - 19 = -4*v. Calculate the remainder when 212/12 + (-2)/(-6) is divided by v.
8
Let j(g) = -g + 7. Let n be j(11). Calculate the remainder when 586/12 - n/24 is divided by 17.
15
Suppose -4*b + 131 = 51. What is the remainder when 74 is divided by b?
14
Let m = 6 + 14. Suppose m = 6*z - 2*z. Suppose 4*j = -2*n + 16, 2*j - 9 = -4*n + z. Calculate the remainder when 5 is divided by j.
2
Suppose -14*v + 1 + 279 = 0. What is the remainder when 57 is divided by v?
17
Let u = 19 - 11. Let j(h) = h**3 + 6*h**2 + 5*h - 1. Let y be j(-3). Let o = y + u. What is the remainder when 55 is divided by o?
17
Let p(j) = j + 1. Suppose 4*r + 1 = 9. Calculate the remainder when (-4)/((-4 + r)/1) is divided by p(0).
0
Let i be ((-7)/1)/(-4 - -3). Suppose i = -s + 2*s. Calculate the