4
Let g(u) = -u**2 + 11*u - 13. Let m be g(9). Suppose m*r - 3*w - 49 = 0, 5*r + w + 3*w = 63. Calculate the remainder when 31 is divided by r.
9
Let k(p) = 2*p + 5. Let z(d) = 2*d - 2. What is the remainder when k(5) is divided by z(4)?
3
Suppose -3*o - 3 = -12. Let d = -15 - -23. Let p = d - o. Calculate the remainder when 13 is divided by p.
3
Let o(y) = 17*y - 4. Let d(n) = n**2 - n - 1. Let s(j) = 2*j**2 - 12*j - 15. Let r(a) = 3*d(a) - s(a). What is the remainder when o(4) is divided by r(-10)?
20
Let b(d) = 3*d**2 - 9*d + 15. Let z(t) = 2*t**2 - 5*t + 7. Let u(y) = -3*b(y) + 5*z(y). Let h = -4 - -11. What is the remainder when u(h) is divided by 18?
17
Let k = 43 - 15. What is the remainder when 54 is divided by k?
26
Suppose -4*c + 100 = 5*l - 3*c, 4*c = 4*l - 80. What is the remainder when 96 is divided by l?
16
Let d be 288/(-11) - (-12)/66. Let z = d - -36. Calculate the remainder when (6*-1)/((-1)/3) is divided by z.
8
Let j = -1 + 1. Suppose -7*y + 2*y - 430 = j. Calculate the remainder when y/(-4)*(-1 - -3) is divided by 15.
13
Suppose -5*x + 45 + 25 = 0. Let u(g) = -4*g. Let p be u(3). Let d = p - -20. What is the remainder when x is divided by d?
6
Let w(x) = x**3 + x**2 + 28. What is the remainder when 55 is divided by w(0)?
27
Suppose -2*x - 4*u + 52 = x, 16 = x + 2*u. Calculate the remainder when 74 is divided by x.
14
Let t be 6 + (6/2 - 4). Let l = 13 + t. Calculate the remainder when l is divided by 10.
8
Suppose 5*o + 0*o = 225. What is the remainder when 4/6*o/2 is divided by 6?
3
Suppose -4*m = 3*f - 16, -4*m + 11 = f - 13. Let u = -12 + m. Let x(k) = k**3 + 5*k**2 - 3*k - 1. Calculate the remainder when x(u) is divided by 5.
4
Let g be 2/4*(4 + -4). Suppose -3*f + f = -n, 3*n + 5*f - 55 = g. What is the remainder when n is divided by 3?
1
Suppose -7 = 5*g - t, 2*g + 10 = -t + 3. Let v = 0 - g. Suppose 0 = 3*u - 1 - v, -z - 3*u + 15 = 0. Calculate the remainder when 35 is divided by z.
11
Suppose 0 = -h + 44 - 17. Calculate the remainder when 78 is divided by h.
24
Let k(a) = -a**3 - 7*a**2 - 9*a - 4. Let p = 6 + -6. Suppose 2*m + 12 - 28 = p. What is the remainder when k(-6) is divided by m?
6
Let x be (-13 - -5)*(-27)/6. Let o = x - 24. What is the remainder when 45 is divided by o?
9
Let p = 11 + -6. Suppose -t + p = -10. Calculate the remainder when 58 is divided by t.
13
Let q be (-4)/(-14)*3*-7. What is the remainder when (94/q)/((-1)/3) is divided by 16?
15
Suppose 133 + 149 = 5*n + 2*b, 0 = b - 1. What is the remainder when n is divided by 19?
18
Suppose -t + 2*n = -23, -5*t = -t + 2*n - 52. Suppose -2*s + 3*f + 78 = 0, 4*s + 2*f = -0*f + 172. Calculate the remainder when s is divided by t.
12
Suppose 0 = 2*j - 4 - 2. Let r = 3 - -13. Suppose -4*y = -8*y + r. Calculate the remainder when y is divided by j.
1
Let a be 81/12 - (-3)/(-4). Calculate the remainder when (-1 + 2)/(1/a) is divided by 2.
0
Suppose -9 = -3*y - 6. Let m(n) = 56*n + 48. Let r(d) = d + 1. Let a(z) = m(z) - 48*r(z). Calculate the remainder when 22 is divided by a(y).
6
Suppose -150 = -5*v - 5*u, 6*v = 2*v + 3*u + 99. Calculate the remainder when v is divided by (-2 - 8)/(-1)*1.
7
What is the remainder when 54 is divided by (-1)/(((-6)/58)/3)?
25
Suppose -2*x - c = 2*c + 18, -38 = 5*x + 4*c. Calculate the remainder when 45 is divided by 24*(-1 - 9/x).
9
Let z(x) = -x**3 - 7*x**2 - 10*x - 9. What is the remainder when z(-6) is divided by 9?
6
Let f(k) = 2*k - 2. Let v be f(0). Let s = 3 - v. What is the remainder when s is divided by 3?
2
Suppose -7*d + 2*d + 35 = 0. Calculate the remainder when 20 is divided by d.
6
Suppose -3*q + 4*l = -69, 2*l - 54 = -4*q + 38. Suppose 0 = 5*b + 2*m - 64, b - 4*b = 2*m - 40. Calculate the remainder when q is divided by b.
11
What is the remainder when 41 - (0/(-4) - -1)*-3 is divided by 12?
8
Suppose 2*n - 78 = -18. Suppose -3*g - 15 = 5*y, 25 = -g + y + 4*y. Calculate the remainder when n is divided by ((-20)/(-25))/((-1)/g).
6
Calculate the remainder when 22*-1*(-52)/8 is divided by 29.
27
Let k(x) = -3*x - 4*x + 5*x**2 - x**3 + 3*x + 2. Let u be k(4). Suppose -u*y - 2*d - 88 = -5*y, -25 = 5*d. What is the remainder when y is divided by 9?
8
Suppose 0 = 4*b + 4*i - 124, -i + 16 = -5*i. Suppose -u = 4*j - 165, -4*u + 75 = 4*j - 93. Let m = -29 + j. What is the remainder when b is divided by m?
11
Let c(w) = w**2 - 15*w + 18. Let s be c(14). Suppose 4*d + 2*g - 42 = 0, 2*d - 2 = 2*g + s. Calculate the remainder when 31 is divided by d.
7
Let v be (-4)/(-2) - (1 + -7). Let h be 39/(-4) - 2/v. Let s = h - -18. Calculate the remainder when 23 is divided by s.
7
Suppose 2 = 3*f + s, 2 - 22 = -4*f + 3*s. Suppose 3*q + z - 14 = 2*z, -5*z - 13 = 4*q. What is the remainder when q is divided by f?
1
What is the remainder when 117 is divided by 10*(0 - 2/(-2))?
7
Let m be (-2)/4 - (-13)/2. Suppose 176 = m*n - 2*n. Suppose 2*j - 3*c - 9 - 28 = 0, -c + 3 = 0. Calculate the remainder when n is divided by j.
21
Let o(c) = -59*c**3 + 2*c**2 + c. Let l be o(-1). Suppose -4*k = -k - l. Let z(g) = -g**2 - 9*g - 7. What is the remainder when k is divided by z(-6)?
9
Suppose y = 3*w, 7 = 3*w + 1. Let i be -3 + -3*(-2)/3. Calculate the remainder when (-329)/(-21) + i/(-3) is divided by y.
4
Let v(x) = -6*x - 16. Let q(g) = 3*g + 8. Let a(b) = -7*q(b) - 4*v(b). Suppose 11*r - 225 = -126. What is the remainder when a(6) is divided by r?
8
Let q = 28 - 15. Let r(k) = 6*k. Let j be r(5). What is the remainder when 356/10 + 12/j is divided by q?
10
Suppose -43 = -5*j + 172. What is the remainder when 213 is divided by j?
41
Suppose p + 5*v - 4 = 5, -4*p + 13 = -3*v. Let m = 7 - p. Suppose 4*x - 53 = m. Calculate the remainder when 40 is divided by x.
12
Let s = 52 + -25. What is the remainder when s is divided by 7?
6
Let c(d) = -d**3 + 4*d + 3. Let w be c(-2). Let u = 1 + w. Suppose -f - 5*a = 6, u*f - 2*a - 68 = a. What is the remainder when 40 is divided by f?
12
Suppose 4*s + s = -60. Let w be (8/6)/(2/s). What is the remainder when 31 is divided by 33*3/(1 - w)?
9
Suppose 49 - 10 = 3*s. What is the remainder when 51 is divided by s?
12
Suppose 24 = 3*d - 0*d. Let y(a) = 2*a - 11. Calculate the remainder when 12 is divided by y(d).
2
Let j(n) = n**2 + 8*n + 4. Suppose 2*y - 5 = 5. Suppose 3*d = 3*h - 15, -y*d = -3*h - 0*h + 33. What is the remainder when j(d) is divided by 5?
3
Let x(c) = c + 31. Calculate the remainder when 57 is divided by x(-11).
17
Let w(t) = 10*t - 7. Suppose -5*k = 5*h - 95, 4*h = -k + 36 + 25. Calculate the remainder when w(6) is divided by h.
11
Let r be ((-22)/(-4))/((-2)/(-4)). Let m = 15 - r. Calculate the remainder when 8 is divided by m.
0
Suppose -2*x + 13 = -15. Calculate the remainder when 27 is divided by x.
13
Suppose -9 = -5*b + 126. Suppose 2*f + 37 = -f - 4*j, f - 2*j = -9. Calculate the remainder when b is divided by (-2 - 1)*(6 + f).
12
Let h = 33 - 12. Suppose -2*k + 9 + h = 0. What is the remainder when 57 is divided by k?
12
Let z be 12 - (2 + 2/(-2)). Let n = -41 + 64. Let s = n - z. Calculate the remainder when 22 is divided by s.
10
Let a(u) = -1 - 1 - u + 6 + 5. Calculate the remainder when a(4) is divided by 2.
1
Suppose 4*h - t + 14 = 77, -5*t = 3*h - 53. Calculate the remainder when 46 is divided by h.
14
Let v be 2 - -6 - (2 - 1). Let g(s) = 1 + s - 2 + v + 0*s. What is the remainder when 45 is divided by g(6)?
9
Let p(h) = -2*h**3 + h**2 - 2*h - 2. Calculate the remainder when 65 is divided by p(-2).
21
Let m be 26/2*(-3 + 1). Calculate the remainder when 3 - m*(5 + -3) is divided by 19.
17
Let u be 3 - (-24)/(6/2). Let h = 18 - u. What is the remainder when 12 is divided by h?
5
Let h(f) = 7*f**2 - 11*f - 5. What is the remainder when h(6) is divided by 13?
12
Suppose -10 = -5*m - 0. Suppose -a - 5*h = -9, m*a + h - 12 = 24. Suppose -25 = 5*d, 0*d - 5*d = -2*y + 45. What is the remainder when a is divided by y?
9
Let f be 1*(-1 - (3 - 4)). Let c(g) = g**3 - g**2 + g + 32. What is the remainder when 126 is divided by c(f)?
30
Suppose 5*d - 55 = 3*v + v, v = 3*d - 26. Suppose 21*y - 20*y = 13. What is the remainder when y is divided by d?
6
Suppose 2*w + 3*w - 195 = 0. Let j(z) = z**2 - 6*z - 2. What is the remainder when w is divided by j(8)?
11
Let q(g) = g**3 + g**2 - 13