3*t = 5*i + 43, -4*t = -i + 5*i - 36. Suppose -t = 4*c - 35. Let b = c - -12. What is the remainder when b is divided by 10?
8
Let x(b) = 6*b - 1. Let v be x(4). Suppose 3*r - h - v = 14, 3*r - 45 = -3*h. What is the remainder when r is divided by 5?
3
Suppose 3*p - 266 = -0*p + 4*h, -4*p + h + 346 = 0. Calculate the remainder when p is divided by 24.
14
Let x be (-2)/(-4) - 15/(-2). Let p(r) be the second derivative of r**3/3 - 4*r**2 + 2*r. What is the remainder when 29 is divided by p(x)?
5
Let c be (-2 - -3 - 2)/(-1). Calculate the remainder when c/((-2)/(-98) + 0) is divided by 25.
24
Let z = -144 - -147. Calculate the remainder when 39 is divided by z.
0
Suppose -3*g - 2*g + 65 = 0. What is the remainder when 22 is divided by g?
9
Let n be ((-6)/5)/((-6)/20). Suppose -2*v - n*f = -6*v + 56, 3*v - 5*f = 52. Calculate the remainder when 15 is divided by v.
6
Suppose 4*d - 5*y - 45 = 2, 0 = 2*d - 5*y - 21. Let t(s) = 4*s**2 + 1. Let q be t(1). Suppose -20 = -q*w + 105. Calculate the remainder when w is divided by d.
12
Let z be 6/(-21) + (-150)/(-35). Let m(t) = t**3 - 2*t**2 - 5*t + 4. What is the remainder when 30 is divided by m(z)?
14
Let y = -1 + 5. Let m(o) = o**2 - 3*o + 1. Let a be m(y). Let n = a + 1. What is the remainder when 11 is divided by n?
5
Let l = 663 + -474. Calculate the remainder when l is divided by 48.
45
Let w = 56 - 19. What is the remainder when w is divided by (-60)/36*(-1 + -5)?
7
Let f(c) = c**3 - 3*c**2 + 4*c - 2. Calculate the remainder when f(2) is divided by 1.
0
Let u(w) be the first derivative of -8*w**3/3 - w**2/2 - w + 3. Let v(b) be the first derivative of u(b). What is the remainder when v(-1) is divided by 8?
7
Let z = 42 + -25. What is the remainder when 78 is divided by z?
10
Let p = -10 - -17. What is the remainder when 27 is divided by p?
6
Let v(b) = 12*b + 1. Let y = 5 + -4. Calculate the remainder when 38 is divided by v(y).
12
Let p(r) = 60*r. Let m be p(2). Let i = m + -85. What is the remainder when i is divided by 12?
11
Suppose 40 = u + u - 4*n, -n + 89 = 4*u. Calculate the remainder when 87 is divided by u.
21
Let y = 15 + -12. Suppose -p + 84 = y*p. Calculate the remainder when p is divided by 6.
3
Calculate the remainder when 26 is divided by 2 + 1 - ((-2 - -3) + -5).
5
Let w(q) = q**2 + 12*q + 47. What is the remainder when 30 is divided by w(-7)?
6
Suppose -44 = 5*q + 61. Let b = q - -37. Calculate the remainder when 44 is divided by -2*(-4)/(b/30).
14
Let v = -32 - -48. Suppose 0 = 2*y - v - 26. Let k = 40 - 29. Calculate the remainder when y is divided by k.
10
Let o = -110 - -125. What is the remainder when 27 is divided by o?
12
Let h = -9 + 11. Suppose -h*d + 5*d - 42 = 0. What is the remainder when 40 is divided by d?
12
Let n = -2 + 9. Suppose -n*g = -r - 2*g + 60, -5*r + 160 = 3*g. What is the remainder when r is divided by 9?
8
Suppose -3*w + 2*w + 1 = 0. Suppose -2*x + 6 = -a, -3 = -3*x + 4*a + w. What is the remainder when 14 is divided by x?
2
Let g(t) = 2*t**2 - 2*t - 3. What is the remainder when 102 is divided by g(-3)?
18
Let r(l) = l + 11. Let s be r(-5). Suppose -s*p + 200 = -p. What is the remainder when p is divided by 14?
12
Let m = -22 - -32. Let n(x) = x**3 + 4*x**2 + 2*x + 4. Let z be n(-4). Let w(c) = c**2 + 2*c - 2. Calculate the remainder when m is divided by w(z).
4
What is the remainder when 107 is divided by (-1 + 5 - -32)*1?
35
Let a(y) = y - 8. Let r be a(3). Calculate the remainder when 3 is divided by (-2 + 1)/(r/10).
1
Let n(y) = -2*y + 3 + 5*y - 2*y. Suppose -4*r = 4 - 24. Calculate the remainder when r is divided by n(0).
2
Let k(b) = b**2 + 4*b - 15. Calculate the remainder when 63 is divided by k(-8).
12
Suppose 3*y - 8 = 28. Let v = -6 + y. Let t = 7 + 3. What is the remainder when t is divided by v?
4
Suppose 4*j + 5*z - 185 = 0, -2*j + 65 = -0*j - 3*z. Let g = -21 + j. Calculate the remainder when g is divided by 10.
9
Let a = -20 + 35. What is the remainder when 44 is divided by a?
14
Suppose 111 = -4*j + 619. Suppose -3*p + j = h, 4*p + 3*h = -0*p + 166. Calculate the remainder when p is divided by 15.
13
Let c(v) = v + 8. Let s be c(-8). Let r = -22 + 34. Suppose -3*l = 5*o - 7*l - 66, s = 3*l + r. Calculate the remainder when 19 is divided by o.
9
Let y = -8 + 16. Suppose 3*o - 18 = -p, o + y = 5*o. Let l = 32 + 2. Calculate the remainder when l is divided by p.
10
Suppose -p - 2*p + 12 = 0. Let v(j) = j**3 - 3*j**2 + 2*j - 3. What is the remainder when 39 is divided by v(p)?
18
Suppose v - 4*s - 16 = 12, -3*v = -5*s - 112. Calculate the remainder when -2 + 1/(2/v) is divided by 7.
6
Suppose 6*l = 87 - 21. What is the remainder when 1/5 - 308/(-10) is divided by l?
9
Suppose -2*a = a + 51. Let d = 45 - a. What is the remainder when d is divided by 21?
20
Let x be (4/(-2))/(1 + 0). Let o be (15/(-5))/(3/x). Suppose 0 = o*n + 14 - 42. What is the remainder when n is divided by 8?
6
Let h = 41 + -22. Suppose 0*s - h = 4*l - 5*s, 4*l = -s - 25. Let i(r) = -2*r - 9. Calculate the remainder when 4 is divided by i(l).
1
Let h(t) = -t**3 - 6*t**2 + 8*t + 16. What is the remainder when 24 is divided by h(-7)?
6
Let p be 0/2 - 2/2. Let u = 5 + p. Let d = 118 - 111. What is the remainder when d is divided by u?
3
Suppose 3*s = 4*h + 76, -8 = 4*s + 3*h - 126. Calculate the remainder when 81 is divided by s.
25
Suppose 0 = -3*a + s + 44, -3*a - 2*s = -a - 40. Calculate the remainder when 44 is divided by a.
12
What is the remainder when 671/5 + 12/(-60) is divided by 27?
26
Let o(g) = -g**3 + 5*g**2 + 10*g - 12. What is the remainder when 59 is divided by o(6)?
11
Let j(w) be the second derivative of w**2 + 0 - 3*w + 1/12*w**4 + 0*w**3. What is the remainder when 52 is divided by j(-4)?
16
Let s = -2 + 14. Suppose -z = -4*z - s. What is the remainder when 0/z - 5*-4 is divided by 7?
6
Let q be 2/(-5) + (-24)/(-10). Suppose -3*t = q*n - 61 - 9, -3*t + 140 = 4*n. Suppose -4*l = -n - 45. What is the remainder when l is divided by 7?
6
Suppose -3*v + 5*l + 31 = 0, -3*v - v - 3*l - 7 = 0. Suppose -208 = v*u - 6*u. Calculate the remainder when u is divided by 18.
16
Suppose -u = 4*u - t - 72, 0 = -4*u - 4*t + 48. Calculate the remainder when 55 is divided by u.
13
Suppose -11*s = -10*s - 35. Calculate the remainder when s is divided by 13.
9
Let l(v) = v**3 - 5*v**2 + 2*v - 2. Let z(b) = 1. Let a(s) = -l(s) + z(s). What is the remainder when 21 is divided by a(4)?
10
Suppose -w + 6*w + 5*x - 25 = 0, -3*x = 5*w - 15. Suppose -j + 4*j = w. Calculate the remainder when 17 is divided by -1 - -9 - (j + -1).
8
Let n = 3 - -18. Let y = n - 12. Calculate the remainder when ((-51)/12)/((-3)/12) is divided by y.
8
Suppose -201 - 14 = 5*b. Let u = 62 + b. Calculate the remainder when u is divided by 10.
9
Let d be 216/16*(-40)/6. Calculate the remainder when 3 + d/(-1 - 0) is divided by 24.
21
Let t = 12 - -13. What is the remainder when t is divided by 14?
11
Let q(c) = c**2 - 6*c + 12. Suppose 4*b - 10 = -b, -10 = -4*n - b. Suppose -n*g + 1 + 13 = 0. What is the remainder when q(7) is divided by g?
5
Suppose 0*i - 3*i - 6 = 0. Let n(a) = -12*a - 3. What is the remainder when n(i) is divided by 11?
10
Let v(p) = p**3 - p**2 + p - 1. Let z(s) = 8*s**3 - 6*s**2 + 4*s - 8. Let b(u) = 5*v(u) - z(u). What is the remainder when b(-3) is divided by 23?
21
Let o(h) = 11*h + 1. Let n be o(-1). Suppose 2*q - 2 = -2*f + 20, 0 = -q + 3*f - 1. Let t = q - n. What is the remainder when 53 is divided by t?
17
Let x = -6 - -28. What is the remainder when 21 is divided by ((-4)/2)/((-4)/x)?
10
Let d(w) = -w**3 - 9*w**2 + 9*w - 5. What is the remainder when 12 is divided by d(-10)?
2
Let h = -907 - -1303. What is the remainder when h is divided by 57?
54
Suppose 0 = -3*z - 4*t + 179, -3*z - t = -z - 111. What is the remainder when z is divided by 11?
9
Let t = 9 + -9. Suppose 0*h - 3*h + 42 = t. What is the remainder when 0 - (0 + -2 + -24) is divided by h?
12
Suppose 0*h = -5*h + 90. Calculate the remainder when 30 is divided by h.
12
Suppose 4*y - 3 = 5. Suppose -4*m + 88 + 71 = 5*k, 4*m - 66 = -y*k. What is the remainder when k is divided by 11?
9
Suppose -4*v = -42 - 2. Let p be (-1)/(-2) + (-2)/(-4). What is the remainder when (p + -2)*(-1 - 30) is divided by v?
9
Suppose 24