et a = 4 + 1. What is the remainder when (-3)/12 + c/12 is divided by a?
4
Suppose 0 = -d + t - 2, 3*d + t = -0*t + 6. Calculate the remainder when 2/(3*d/6) is divided by 3.
1
Suppose -2*g = -d - 17, -g = g - 3*d - 19. Calculate the remainder when (6 + -4)*46/4 is divided by g.
7
Suppose 4*b = -0*b + 192. Suppose -5*p + 5 = z + 3, -p - b = -2*z. Calculate the remainder when z is divided by 0 - -1*16/2.
6
Let r(x) = -x**3 - 5*x**2 - 6*x - 4. Let w be r(-4). Suppose -w*g + 52 = o + 3*o, -4*g - 46 = -3*o. What is the remainder when 40 is divided by o?
12
Let v(z) = z**3 - z. Let a be v(1). Suppose a = -c - 3*c + 20. What is the remainder when c is divided by 2?
1
Let u(c) = -2*c - 9. Let z be u(-8). Let r = 19 - z. Let q = 4 + 3. Calculate the remainder when r is divided by q.
5
Let s(o) = -o**2 - 5*o - 2. Let j be s(-6). Let h = j - -23. Calculate the remainder when h is divided by 8.
7
Let v = 51 - 24. Suppose 9 = -3*g + v. Let j = g + 7. Calculate the remainder when 38 is divided by j.
12
Let k(j) = 0*j**2 + j**2 - 1 + 2*j + 2*j**2. Let m = -5 + 11. Calculate the remainder when m is divided by k(1).
2
Let y be 1 + 2 + -4 + 5. Suppose o = -3*u - 0*u + 8, 21 = 5*o - y*u. Suppose -w + o*w = 24. What is the remainder when 11 is divided by w?
5
Let c be 4/(-6) - 12/9. Let f be (c - -2)/1 + 4. Suppose g + 24 = f*g. What is the remainder when 23 is divided by g?
7
Let f = 108 + -102. What is the remainder when f is divided by 2?
0
Suppose 4*d = -2*s + 312 - 106, 3*d = -s + 155. What is the remainder when d is divided by 8?
4
Suppose z - 6*z + 85 = 0. What is the remainder when z is divided by 9?
8
Let j(o) = o**2 + 3*o + 3. Let r be 25 + (0/(-2))/3. Suppose r + 223 = 4*p. Calculate the remainder when p is divided by j(3).
20
Let a = 3 - -6. Let j = -2 - -17. Calculate the remainder when j is divided by a.
6
Let c(i) = i**2 + 6*i - 6. Suppose 2*p - 88 + 54 = 0. What is the remainder when c(5) is divided by p?
15
Suppose 22 = 5*w - 48. Calculate the remainder when w is divided by 4.
2
Suppose -6 = -5*n + 2*x, 5*x + 2 - 4 = 4*n. Let c be (-36)/(-9) + 3*1. Let q = 9 - c. Calculate the remainder when q is divided by n.
0
Let z(o) = -6*o - 14. Let l be 0 - 1 - -2*1. Suppose 2*m = 11 + l. What is the remainder when z(-4) is divided by m?
4
Let c(g) = -g**3 - 8*g**2 + 6*g. Suppose 5*t + 11 = 36, -38 = 2*q - 4*t. What is the remainder when 52 is divided by c(q)?
25
Let w(n) = 8*n - 104. What is the remainder when w(18) is divided by (21*1)/(2 + -1)?
19
Let y be 20/6*(-27)/(-15). Suppose f - y*f + 225 = 0. Suppose -g = 4*q - f, -5 - 5 = q - 4*g. Calculate the remainder when 28 is divided by q.
8
Let x(j) = -43*j + 315. Calculate the remainder when (3/(-2))/(3/(-78)) is divided by x(7).
11
Suppose 3*z - 2*z - 19 = 3*j, 5*z - 3*j = 59. What is the remainder when z is divided by (-34)/(-5) - (-68)/(-85)?
4
Suppose 0*n + 3*n + 6 = 0. Let o(f) = -4*f + 2. Calculate the remainder when 19 is divided by o(n).
9
Let x be (-5)/((-3)/(34 + 2)). Let z = x + -42. Calculate the remainder when 1*-1 - (-72)/2 is divided by z.
17
Let x(y) = y - 29. Let p be x(0). Let w = 49 + p. What is the remainder when 77 is divided by w?
17
Let k = -21 + 76. Calculate the remainder when k is divided by 14.
13
Suppose -3*v + 2*d + 24 = 0, -22 - 1 = -2*v - d. What is the remainder when 27 is divided by v?
7
What is the remainder when 19 is divided by 5 - (-12)/2*4/12?
5
Let v = -38 + 54. Suppose 0 = -m + 3*m - v. Calculate the remainder when 30 is divided by m.
6
Let h(n) = 5*n - 1. Calculate the remainder when 81 is divided by h(3).
11
Let x(d) = -6*d + 36. Calculate the remainder when (-4)/(-18) + 284/18 is divided by x(5).
4
Let y be 0 - -1 - 0/(-15). What is the remainder when y*-1*10*-5 is divided by 17?
16
Suppose 244 + 230 = 6*x. Calculate the remainder when x is divided by 27.
25
Suppose 3*v - 4*v = -29. What is the remainder when v is divided by 17?
12
Suppose -17 = 5*t - 6*t. What is the remainder when 32 is divided by t?
15
Let t = -3 - -9. Suppose 3*g + 0*g + 3*b - 9 = 0, 0 = 2*b - 2. Suppose 46 = 3*a - 2*z, -g*a + z + 3*z = -28. Calculate the remainder when a is divided by t.
4
Let r(o) = -o**3 - 13*o**2 + 9*o - 18. Calculate the remainder when r(-14) is divided by 6.
4
Let j(m) = -m**3 - 2*m**2 + 3*m + 1. Let c(k) = k**3 + k - 1. Let f(g) = -c(g) + j(g). Calculate the remainder when 15 is divided by f(-2).
3
Suppose -5*h - 14 = -2*w, -h = -w + 8 - 4. Suppose 0*u - w = -u. Suppose -u*q + q = -6. What is the remainder when 16 is divided by q?
4
Suppose -2*p + p = -175. Suppose 2*u - 24 = -2*t, t - 42 = -u + 6*t. What is the remainder when u is divided by p/20 - 1/(-4)?
8
Suppose -u = -h + 12, 0*h - 2*h - 4*u + 6 = 0. Let w = h + -2. Let b = w + 8. What is the remainder when 44 is divided by b?
14
Let j(m) = -2*m. What is the remainder when (-5)/(-1*2/14) is divided by j(-6)?
11
Suppose 68 = 4*j - a, -2*j + 40 = -0*j + a. What is the remainder when j is divided by 7?
4
Let y(j) = -j + 39. What is the remainder when y(0) is divided by 10?
9
Suppose 6*b + 744 = 14*b. What is the remainder when b is divided by 12?
9
Let h(g) = -36*g - 279. Calculate the remainder when 66/2 + (-1 - 1) is divided by h(-8).
4
Suppose -3*y + 12 = -4*o, y = -3*y + 2*o + 6. Let q = 5 - y. What is the remainder when 12 is divided by q?
2
Let v = -8 - -11. Suppose -v*o = 6 - 3. Calculate the remainder when (-51 + 2)/o + 0 is divided by 17.
15
Suppose l - x - 7 = 0, 4*l + 4*x + 4 = -0. Let n = 4 - l. What is the remainder when 1 is divided by n?
0
Let y(f) = -f**3 + 3*f + 2*f**3 + f - f**2 + 25 - 3*f. Calculate the remainder when y(0) is divided by 14.
11
Let t be 2*18 + 14/(-14). Let g = t - 16. What is the remainder when g is divided by (-63)/(-6) + 2/(-4)?
9
Let b = -80 - -87. Suppose 3*q = 2*n - 42, 0 = -3*n + 2*n - 2*q + 35. Calculate the remainder when n is divided by b.
6
Let z(w) = w - 4. What is the remainder when 17 is divided by z(14)?
7
Let j(n) = -n**2 + 16*n - 28. What is the remainder when 86 is divided by j(3)?
9
Let p(x) = -4*x - 13. Let j be p(-10). Suppose 2*h - j = h + 3*q, 4*h - 5*q = 136. Let n(z) = 5*z - 5. What is the remainder when h is divided by n(5)?
19
Let z(w) = w**2 + 2*w. Let u = 25 + -10. What is the remainder when u is divided by z(-4)?
7
Let q = 37 - 8. Let v = q + -1. What is the remainder when v is divided by 8?
4
Suppose 129 = 4*y - 3. Let m = 10 + y. What is the remainder when m is divided by 15?
13
Let r = 4 - 1. Suppose -1 + 4 = f. Calculate the remainder when r is divided by f.
0
Let p(u) = u**2 + 6*u - 7. Let g = 3 - 10. Let a be p(g). Suppose j + 2*r - 2 - 17 = a, j = -3*r + 23. What is the remainder when j is divided by 6?
5
Let l(d) = -4*d**3 + d**2 + 2*d. Let a be l(2). Let w = -4 - 4. Let b = w - a. Calculate the remainder when b is divided by 6.
4
Calculate the remainder when 31 is divided by 8*2 + -11 + (0 - -7).
7
Suppose 2*k + 2*k + 28 = 4*u, 0 = -3*k - 12. Let o(i) = 3*i**u + 5*i + 1 - 2 - 3*i. Calculate the remainder when o(2) is divided by 14.
13
Let g(z) = 6*z**2 + z - 2. Let m be (-1 - 0/2)*2. Suppose 0*d + d = 2*f - 79, 5*d + 91 = 2*f. Calculate the remainder when f is divided by g(m).
18
Let d(a) = -3*a + 11*a + 2 - 5. Let n(w) = -w**2 + 6*w. Calculate the remainder when d(2) is divided by n(5).
3
Suppose 0*n + 3*n - 90 = 0. What is the remainder when 86 is divided by n?
26
Suppose -3*n + 38 = -2*k + 12, 4*k - 4 = -n. Suppose -3*a - 12 = -7*a. Calculate the remainder when n is divided by a.
2
Suppose 5*v - 7 = -2. Let l(w) be the third derivative of w**6/24 - w**5/30 + w**4/24 - 3*w**2. Calculate the remainder when 7 is divided by l(v).
3
Let f(g) = -g**3 - 9*g**2 + 4. Let x be f(-9). Let k = 13 - x. What is the remainder when k is divided by 6?
3
Suppose j = -4 + 83. Let q = j - 34. Calculate the remainder when q is divided by 23.
22
Let w = 42 + -17. Let x be (-176)/10 + (2 - 60/25). Let m = x + w. What is the remainder when 26 is divided by m?
5
Let u(o) = -o**2 + 7*o. Suppose 6 - 24 = -5*n - a, -4*a = 2*n. Calculate the remainder when u(5) is divided by n.
2
Let o(t) = -t**3 - 6*t**2 - 8*t - 1. Let b be o(-7). Let p = b - 64. Let i(r) = r**3 - 16*r**2 + 14. Calculate the remainder when p is divided by i(16).
12
What is the remainder when 72 