er when ((-68)/51)/((-4)/198) is divided by 23?
20
Let j be (3 - 0) + 1*-9. Let b be 1*(-3 + 0 - j). Suppose -2*z - 5*u + 19 = 0, 30 = b*z + 2*z - 5*u. Calculate the remainder when 11 is divided by z.
4
Suppose 0 = 3*o + 2*o - p - 1, -o + 3*p = 11. Suppose 0*y + y + o = 0. Let t = 1 - y. Calculate the remainder when 2 is divided by t.
0
Suppose -35 = 5*m - 10*m. Calculate the remainder when m is divided by 4.
3
Let t be (42/(-3))/((-1)/5). Let d = t - 37. Let s(h) = -h**3 + 8*h**2 + h + 12. What is the remainder when d is divided by s(0)?
9
Suppose 0 = x + 2*c - 32, -3*c + 4*c + 20 = x. Calculate the remainder when 69 is divided by x.
21
Let c = 156 + -70. What is the remainder when c is divided by 22?
20
Let n be (-9)/(-3) - 5 - 3. Let m(k) = 3*k - 2. Let v be m(n). Calculate the remainder when v/(3 + (-14)/4) is divided by 12.
10
Suppose -4*v + 3*a + 12 = -0*v, 4*v + 3*a = -12. Let c = -2 + v. What is the remainder when c + (10 - 0) + -1 is divided by 4?
3
Suppose p + 47 = 5*a, -5*a + 2*p + 15 = -34. Let z(y) = y**3 - y**2 + y - 3. Calculate the remainder when z(3) is divided by 3*(-2)/a*-15.
8
Let s = -162 - -287. Calculate the remainder when s is divided by 42.
41
Suppose -w + 2 = -2*l + 13, 5*l + 5*w = 20. Let y = 1 + 2. What is the remainder when l is divided by y?
2
Let t(k) = 6*k**2 - 3*k**2 - 1 + k - k**2. Let u(y) = -y**2 + 1. Let b be u(0). What is the remainder when 2 is divided by t(b)?
0
Let p = 1 + -7. Let u(d) = 3*d**2 + 9*d + 10. What is the remainder when u(p) is divided by 17?
13
Let s(f) = f - 1. Let x be s(10). Calculate the remainder when (6/(-12))/(2/(-28)) is divided by (x/6 + -1)*6.
1
Let r(v) = -2*v - 1. Let p be r(-3). Suppose -412 = -3*y + p*h, 268 = 3*y + 2*h - 109. What is the remainder when y is divided by 33?
30
Suppose -c - 14 = -3*c. Suppose 0 = 4*j - 32 - 20. Calculate the remainder when j is divided by c.
6
Let x(y) = 2*y**2 - 2*y + 1. Calculate the remainder when 50 is divided by x(3).
11
Let y(d) = -d + 27. Let t(o) = o**3 - o + 6. Let n be t(0). What is the remainder when y(0) is divided by 2/n + (-41)/(-3)?
13
Let f = 33 + -22. Let d = f - 7. What is the remainder when 14 is divided by d?
2
Let h = 0 + 2. Suppose h*q + 4 = 3*q. Suppose -14 = -q*d + 22. What is the remainder when 16 is divided by d?
7
Let b(o) = o**2 - 9*o + 8. Let p be b(8). Suppose 2*m - 52 = -p*m. What is the remainder when m is divided by ((-1)/(-1))/((-1)/(-14))?
12
Suppose 0 = -f + 2*q - 8 + 30, -3*q + 23 = 2*f. Let z = 12 + f. Calculate the remainder when z is divided by 15.
13
Suppose 0 = 4*l - 6*l + 2. Calculate the remainder when 8 + (l - 4)/(-3) is divided by 6.
3
Let u be 1/(1*(1 + -2)). Let g(k) = 3*k**2 - k. Let y be g(u). Suppose y*s - 17 = 7. Calculate the remainder when 16 is divided by s.
4
Suppose 0*a + 30 = 5*a. Let w(t) be the first derivative of t**2/2 - 2. Calculate the remainder when w(11) is divided by a.
5
Let r = 64 + -24. Suppose -3*x + r = -2*v + v, -5*v - 8 = x. What is the remainder when x is divided by 7?
5
Suppose -2*o - 46 = -3*o. Let c = o - 21. Let p(w) = -w**3 - w**2 - 3*w - 1. What is the remainder when c is divided by p(-2)?
7
Let x = 90 - 151. Let p = -43 - x. What is the remainder when (34/(-3))/((-2)/6) is divided by p?
16
Suppose 5*z - 133 = 2*n - 5*n, 2*z = 4*n + 48. What is the remainder when -3 + 317/3 + (-2)/(-6) is divided by z?
25
Let a = 24 - 14. What is the remainder when a is divided by 4?
2
Let c(l) = -2*l + 6. Let i be 3/6 - 11/(-2). Let x be c(i). Let z(p) = -p + 2. What is the remainder when 14 is divided by z(x)?
6
Let l be 6/10 - 144/(-10). Let x = 7 - -8. What is the remainder when 37 is divided by 3/x - (-192)/l?
11
Let m(r) = 16*r**2 - 2*r + 1. Calculate the remainder when (-10)/(-15) - 255/(-9) is divided by m(1).
14
What is the remainder when 67 is divided by -3 + (-124)/(-44) - 532/(-22)?
19
Suppose -3*f - 4*m = 11, 2*f + 4 = -2*m - 0. Suppose 0*p + 4*p - 2*y - 72 = 0, -f*p + 45 = 3*y. What is the remainder when p is divided by 10?
7
Let w = 8 + -5. Suppose 2*z - w*d - 32 = 0, z - d - 3*d - 16 = 0. Calculate the remainder when 47 is divided by z.
15
Suppose 0 = 4*v - o - 154, 5*v = -4*o + 93 + 110. Suppose -4*y + v = -y. Calculate the remainder when 24 is divided by y.
11
Suppose 3*k = -5*j - 5, -3*j + 0 = 5*k + 19. Calculate the remainder when (26/(-4) - -3)*-2 is divided by k*(-1 + 3/15).
3
Let x = 8 - 5. Suppose -14 + 4 = -5*r. Let d = x - r. Calculate the remainder when 2 is divided by d.
0
Suppose 3*s + 5*x = -21 + 55, 3*s = -x + 26. What is the remainder when 47 is divided by s?
7
Suppose -2*j + 261 = -67. Calculate the remainder when j is divided by 42.
38
Let q = 41 + -21. What is the remainder when q is divided by 12?
8
What is the remainder when 3/4 + 1145/20 is divided by 30?
28
Let w(i) = -i**2 + 5*i - 4. Let l be w(4). Suppose -65 = -4*m + 2*c - 3*c, l = -m - c + 20. What is the remainder when 28 is divided by m?
13
Suppose -2*g = -3*j - 4, -5*j = -5*g + 4*g + 2. Let x be -1 + 13*(j + 1). Let p = x - 6. Calculate the remainder when 10 is divided by p.
4
Let y(b) = 3*b**2 - 4*b - 10. Calculate the remainder when y(7) is divided by 10.
9
Let s(n) = -3*n + 19. What is the remainder when 153 is divided by s(2)?
10
Calculate the remainder when (-4 + -18 - -4)*3/(-2) is divided by 10.
7
Let r = 4 - 4. Suppose -j + 4*w = -4, -5 = 4*j - r*w + 5*w. Suppose j = x + k - 15, 0 = -0*x - 3*x - 2*k + 44. What is the remainder when x is divided by 8?
6
Let r = 8 - -3. What is the remainder when 6/1*16/3 is divided by r?
10
What is the remainder when (-2)/(-3) + (-2030)/(-15) is divided by 35?
31
Suppose 3*i + 3*t - 75 = 0, -5*i + t + 137 = -0*t. Let c(u) = u**2 - 2*u + 2. Calculate the remainder when i is divided by c(-2).
7
Let g(i) = -3*i + 7. Calculate the remainder when g(-10) is divided by 13.
11
Suppose 2*v = 7*v. Suppose -3*a - a + 40 = v. Calculate the remainder when 120/18*36/a is divided by 9.
6
Let r = -44 - -63. Calculate the remainder when r is divided by 11.
8
Suppose 5*f + 19 - 5 = q, 4*q - 4*f - 56 = 0. Let x(h) = -6*h**3 + 3*h**2 + 2*h - 1. Calculate the remainder when x(-2) is divided by q.
13
Let l(z) be the third derivative of z**6/60 - z**5/30 + z**3/3 + 12*z**2. Let j(p) = p + 6. Let w be j(-4). What is the remainder when l(w) is divided by 6?
4
Let h = 35 - 19. Suppose 4*g = 3*g, 2*u - g = h. What is the remainder when 23 is divided by u?
7
Suppose 0 = -4*f - 49 + 413. What is the remainder when f is divided by (23 + 0)*32/32?
22
Let n be ((-252)/(-14))/(1 - -1). What is the remainder when 12 is divided by 51/n - (-4)/(-6)?
2
Let n(s) = -11*s - 5. Let v(i) = -i. Let l(t) = n(t) - 2*v(t). Calculate the remainder when l(-4) is divided by 8.
7
Suppose 3*i = 1 + 14. Let o = 9 - i. Suppose -o*v = -5*v + 5. Calculate the remainder when 8 is divided by v.
3
Suppose 0 = -0*l - 2*l. Suppose l = -k + 6*k - 70. Suppose 6*p = p + 5, -8 = -g - 3*p. Calculate the remainder when k is divided by g.
4
Let g = -7 - -22. What is the remainder when 59 is divided by g?
14
Suppose -g - 5*x - 1 = 0, x - 4 - 21 = -2*g. Let u(o) = -o - 4. Let k be u(-9). What is the remainder when g is divided by k - (0 + 2 + -2)?
4
Let r(z) = z**2 + z - 3. What is the remainder when r(-3) is divided by 3?
0
Let d be (-2)/8 + (-2)/(-8). Suppose d*w + 34 = 2*w. Let o(m) = -m**2 + 6*m + 49. What is the remainder when o(6) is divided by w?
15
Suppose 5*l - 4 = 46. Calculate the remainder when 39 is divided by l.
9
Suppose -18 = -11*d + 10*d. Let n(i) = 41*i - 2. Let l be n(3). Let y = l - 86. What is the remainder when y is divided by d?
17
Let x = 11 + 2. Let w be (-2)/3 - 4/(-6). Suppose t - 4 - 1 = w. Calculate the remainder when x is divided by t.
3
Let z(b) = -b**3 - 10*b**2 + 12*b + 12. Let m be z(-11). Calculate the remainder when (m - 0)/(5/215) is divided by 0 + -2 + (-34)/(-2).
13
Let v = 6 - -1. What is the remainder when (12/(-3))/(2/(-10)) is divided by v?
6
Let y(d) = -2*d + 1. Suppose 7 = 3*f - 14. Let g(q) = -q**3 + 6*q**2 + 5*q + 10. Let b be g(f). What is the remainder when 25 is divided by y(b)?
7
Suppose -2*m + 5 = -15. Suppose o - 6 - m = 5*v, -v = 2*o - 76. What is the remainder when o is divided by (-1)/(1 - -2)*-57?
17
Let h(w) = w**2 + 4*w + 1. What is the remainder when