. Let s be r(-3). Let o = s + -7. What is the remainder when 56 is divided by o?
11
Let q = 99 - 17. Let l = q + -76. What is the remainder when 34 is divided by l?
4
Let h(p) = -19*p + 6. Let c be h(-2). Suppose 2*x - c = -4*u + 7*u, 4*x + 5*u = 66. Calculate the remainder when x is divided by 7.
5
Let n = -2712 - -2739. Let p = 8 - 1. What is the remainder when n is divided by p?
6
Let v be (164/(-4))/1 - -2. Let r = v + 58. What is the remainder when 75 is divided by r?
18
Suppose 0 = 5*c - 2*h - 176 - 221, 3*h - 392 = -5*c. What is the remainder when c is divided by 69?
10
Let f(w) = 2*w**3 - 5*w**2 - 3*w + 5. Suppose -5*h - 3*n + 61 = -0*h, 3*h = n + 45. Calculate the remainder when f(4) is divided by h.
13
Suppose 10 = 2*f + b, -f + 2*f - 5*b + 6 = 0. Suppose -5*r + 4*l + 0*l + 83 = 0, 4*l = 4*r - 64. Calculate the remainder when r is divided by 5*(-4)/(-8)*f.
9
Let a(l) = 4*l**2 + 4*l - 9. What is the remainder when 79 is divided by a(-4)?
1
Suppose -2*x - 34*x + 8028 = 0. Calculate the remainder when x is divided by 60.
43
Let k(c) = 88*c - 169. Calculate the remainder when (-1)/1 - -1 - -18 is divided by k(2).
4
Suppose 5 = -3*z + 11. Suppose -v = 2*v - 2*p - 32, -z*v - p = -19. Suppose v*h = 11*h - 18. What is the remainder when h is divided by 5?
3
Let r = 28 + -82. Let t = r + 161. Calculate the remainder when t is divided by 22.
19
Let t(b) = b**2 - 4*b + 2. Let y be t(4). Suppose 4*q - 3 = -z, q + 1 = y*z - 5. Calculate the remainder when 7 is divided by z.
1
Let y(b) = -b**2 + 14*b - 38. Calculate the remainder when (-76)/6*(-9)/6 is divided by y(8).
9
Let b(n) be the third derivative of -n**4/12 + 19*n**3/2 + 35*n**2. Calculate the remainder when b(-11) is divided by 43.
36
Let o(i) = -i**3 - 6*i**2 + 7*i + 2. Let z be o(-7). Suppose 3*t = -z*w + 20, 2*w + 4 = 5*t + 24. Calculate the remainder when 48 is divided by w.
8
Let m(g) = 2*g**2 + 24*g + 9. Let p(z) = -z**2 - z + 6. Let b = -3 - -3. Calculate the remainder when m(-12) is divided by p(b).
3
Suppose 3*o - w = 39, 3*o - w = 4*o - 17. Suppose 191 = 5*b + 26. Calculate the remainder when b is divided by 3/(o/6 + -2).
6
Let x(m) = 5*m**3 + m**2 + 4. Let f be x(2). Let z = f + -13. Suppose 18 = r + r. Calculate the remainder when z is divided by r.
8
Let i = -28 - -52. Suppose -3*a = -5*d - 72, 3*a - 4*a + 3*d + i = 0. Calculate the remainder when a is divided by 9.
6
Suppose 1473*i - 1479*i + 306 = 0. What is the remainder when 193 is divided by i?
40
Let r = 497 + -350. Suppose -5*g + r = 2*g. What is the remainder when 81 is divided by g?
18
Let i = 11 - 5. Let t(d) = 14*d + 8. Let b be t(4). Suppose 4*l - i*l = -b. What is the remainder when l is divided by 11?
10
Let r(z) = 3*z**2 + 7*z + 17. Let k be r(-5). Let g = 77 + k. What is the remainder when g is divided by 34?
32
Suppose 2*c - 705 = 5*c. Let x = -121 - c. What is the remainder when x is divided by 29?
27
Let g = 43 - 27. Calculate the remainder when 65/(-78)*4/(-10)*186 is divided by g.
14
Suppose 5*s = -13 + 38. Suppose 0 = 3*y - 2*w + 6, 5*w = -s*y - 27 - 8. Let d = 3 - y. What is the remainder when 13 is divided by d?
6
Suppose -g + 4*g - 27 = 0. Suppose -2*s - s + 79 = 2*y, -47 = -y - 4*s. Calculate the remainder when y is divided by (1/(-2))/(g/(-324)).
17
Let z(u) = 2*u**2 + 37*u + 265. Calculate the remainder when 493 is divided by z(-13).
5
Let l = 645 - 460. What is the remainder when l is divided by 40?
25
Let o(h) = 2*h - 6. Let g be o(5). Let p(t) = 5*t + 2. Let j be p(g). Suppose j = r - 7. Calculate the remainder when 86 is divided by r.
28
Let t(a) = a**3 + 3*a**2 - a - 1. Let l(p) = -2*p. Let x be l(1). Let h be t(x). Let q = h - -6. What is the remainder when q is divided by 4?
3
Let m(w) = 114*w + 1. Let q be m(1). Suppose 0 = -d - 2, 5*j - 4*d - 33 = q. Calculate the remainder when 109 is divided by j.
25
Suppose -y = -0*y - 29. Calculate the remainder when (-4 + 2)/2*(-113)/1 is divided by y.
26
Let r = 17 + -8. Let c be (6/r)/((-4)/30). Let o = c - -11. What is the remainder when 16 is divided by o?
4
Let b be 6/(4 + (-18)/4). Let u = b - -37. What is the remainder when 172 is divided by u?
22
What is the remainder when 125 is divided by -4 + -1*20*(-48)/80?
5
Let u = 705 - 657. What is the remainder when 87 is divided by u?
39
Let g = -825 + 892. What is the remainder when g is divided by 16?
3
Let w(a) = 126*a + 272. Let c = 5 + 8. Calculate the remainder when w(-2) is divided by c.
7
Suppose -5*x + 51 = -s, 0 = 2*x + 1 - 9. Let v = 1 - 3. What is the remainder when v - (1 + 0)*s is divided by 16?
13
Let m(o) = o**2 + 3*o + 31. Calculate the remainder when m(0) is divided by 18.
13
Let r(b) = -b**3 + b - 10. Let w be r(0). Let q = w - 1. What is the remainder when 56 is divided by 621/33 - 2/q?
18
Let o be ((-84)/70)/((-3)/10). Calculate the remainder when (1744/32)/((-2)/o + 1) is divided by 55.
54
Let w(k) = -k**2 + 10*k + 15. Suppose 3*j - 77 = 2*r, 78 = 3*j - 7*r + 4*r. Calculate the remainder when j is divided by w(11).
1
Let a(m) = -2*m + 24. Calculate the remainder when 92 is divided by a(6).
8
Suppose -4*i = -5*a + 238, -3*a - i + 146 = -5*i. Let q = 62 - a. Calculate the remainder when 29 is divided by q.
13
Suppose -2*a + 224 = -2*k, 0 = 5*a + k - 143 - 435. Calculate the remainder when 227 is divided by a.
112
What is the remainder when 339 is divided by ((-247)/(-38))/((-4)/(-104))?
1
Suppose 0 = -4*h + s + 57, 2*h - 25 = -0*s - 3*s. What is the remainder when 473 is divided by h?
11
Suppose 3*w - 29 = -5. Suppose -q - 4*c + 71 = 2*q, w = -2*c. What is the remainder when 2/8 + 657/12 is divided by q?
26
Let m(n) = -11*n**2 + 0*n**3 + 4*n - 3*n + 9 - n**3. Let f be m(-11). Let q = 1 - f. What is the remainder when 11 is divided by q?
2
Let g(n) = -n**3 - 53*n**2 + 99*n - 195. What is the remainder when g(-55) is divided by 36?
14
Suppose 0 = x + x - 26. Let p(t) = 24*t**2 + t + 2. Suppose -4*v + 4*o = 0, -3*v + 1 = 5*o + 9. Calculate the remainder when p(v) is divided by x.
12
Let l(p) be the third derivative of p**5/60 + 3*p**3/2 - 3*p**2. What is the remainder when l(4) is divided by 9?
7
Let g be (-4)/10 + 432/30. Let d = g - 11. Suppose 5 = m - 2. Calculate the remainder when m is divided by d.
1
Suppose 84*p - 414 = 78*p. Calculate the remainder when 211 is divided by p.
4
What is the remainder when 38*(-1490)/(-50) + (-12)/(-20) is divided by 54?
53
Let y = 13 + 16. Suppose -s - 25 - 26 = -4*n, -y = -2*n - 3*s. Calculate the remainder when 24 is divided by n.
11
Let n be (-2)/(-15) + 2497/(-165). Let g = 7 - n. What is the remainder when 39 is divided by g?
17
Let k be (0 - 8/(-4)) + -50. Let s = k - -90. Let q = -21 + s. Calculate the remainder when q is divided by 8.
5
Suppose s + 3*k = 103, 5*s - 4*s - 4*k - 68 = 0. Calculate the remainder when s is divided by 2/3 + (-84)/(-9).
8
Suppose 27 + 21 = 4*s. Suppose -4*v = -15 - 1. What is the remainder when s is divided by v?
0
Suppose 0 = 4*p - 29 - 11. Let f(j) = j**3 + 3*j**2 - 8*j + 1. What is the remainder when f(-4) is divided by p?
7
Suppose 0 = -4*v + q + 133, -v + 4*q = 7 - 29. What is the remainder when 81 is divided by v?
13
Let z be 159/(-4) + (-12)/48. Let s = 52 + z. What is the remainder when 21 is divided by s?
9
Let w(k) = 161*k**3 - 2*k + 2. Suppose 0 = -r - 4*l + 43, 2*r - 46 = r - 3*l. Calculate the remainder when w(1) is divided by r.
51
Suppose -169 = -4*l + 2*d + 2439, -d - 2604 = -4*l. What is the remainder when l is divided by 93?
92
Let d(n) = n**3 + 14*n**2 + 2*n + 33. Let q be d(-14). What is the remainder when (47/(-2 - -1))/(-6 + q) is divided by 26?
21
Calculate the remainder when (-2)/(-5) + ((-3144)/(-40))/1 is divided by 0 - -4 - 0 - -16.
19
Suppose -3 = -3*s + 18. Let h = s - -2. Calculate the remainder when 16 is divided by h.
7
Suppose 3*o - 4*z + 10 = -10, 3*z - 15 = 0. Suppose -4*f + 3*m + 37 = o, 5*f + 2*m = 3*m + 49. What is the remainder when 39 is divided by f?
9
Let a(c) = c**2 - c - 10. Suppose -9*r = -6*r + 72. Let z = 19 + r. What is the remainder when a(z) is divided by 7?
6
Suppose -y = 2*r - 0*r - 23, 0 = 5*r - 20. Suppose -2*k + 7*k = -35. What is the remainder when 2/k + (-1203)/(-21) is divided by y?
12
Let m(c) = -c**3 + 10*c**2 - 6*c. Calculate the remainder when m