Let i(u) = -5*u**3 + u**2 + 2. Let r be i(2). Let w(p) = -p**2 - 4*p - 11. Let s be w(-5). Let q = s - r. Calculate the remainder when 34 is divided by q.
16
Suppose -3*k + 59 - 12 = 2*u, 2*u = -4. What is the remainder when 54 is divided by k?
3
Let k(h) = 18*h - 1137. Calculate the remainder when k(64) is divided by 6.
3
Let v(p) = p + 10. Let a = -164 - -233. Suppose 3*y + y - 3*w = 69, -5*y = 2*w - a. What is the remainder when y is divided by v(-6)?
3
Suppose -3*o + 244 = 7*d - 8*o, -3*d - 5*o = -126. Calculate the remainder when 83 is divided by d.
9
Let f = 15 + -13. Suppose 5*c = f*c. Suppose q = -c*q + 16. Calculate the remainder when 46 is divided by q.
14
Suppose 85*s = 82*s + 30. Let l = 40 - 4. What is the remainder when l is divided by s?
6
Let c = -300 + 329. Calculate the remainder when 51 is divided by c.
22
Let u(n) = 4*n + 19. Let q(p) = 4*p + 18. Let l(o) = -4*q(o) + 3*u(o). What is the remainder when 16 is divided by l(-5)?
1
Let l(i) = 3*i**2 + 6*i + 13. Let j be l(4). Let p = j + -71. What is the remainder when 179 is divided by p?
11
Suppose -5*a = -0*a + 535. Let n = -11 - a. Suppose 4*f = n + 108. What is the remainder when f is divided by 27?
24
Let r = 33 - 33. Suppose -2*f = -2*i - i - 54, r = -3*i. Let y = -13 + f. Calculate the remainder when 26 is divided by y.
12
Let q = -25 - -38. Calculate the remainder when 14 is divided by 4/(-6)*(1 - q).
6
Let i be (-3)/((-3)/(-6) - -1). What is the remainder when (-3 - i)*(-190)/2 is divided by 24?
23
Let d(m) = 12*m**2 + 11*m + 10. What is the remainder when 131 is divided by d(-1)?
10
Suppose -4*c - d = 3*d - 44, c + 2*d = 12. Calculate the remainder when 40 is divided by 2/(-5) + 144/c.
12
Suppose 282 = 8*c - 118. Suppose 3*d - 172 = -40. Suppose 4*t + 0*t - 4*s = d, 2*t - s - 24 = 0. What is the remainder when c is divided by t?
11
Suppose 68 = -5*j + 7*j. Suppose 0 = 5*c - 16 - j. Calculate the remainder when 49 is divided by c.
9
Suppose -642 - 168 = -10*r. Calculate the remainder when r is divided by 38.
5
Let w(r) = 10*r**3 - r**2 + r. Let h(c) = 3*c + 9. Let o be h(-4). Let n = o + 22. Calculate the remainder when n is divided by w(1).
9
Suppose f = 2*m + 21 - 39, f - 9 = -m. Calculate the remainder when 737 is divided by m.
8
Let r(x) = -x**2 - 19*x + 49. What is the remainder when r(-12) is divided by 17?
14
Suppose -3*a - t + 68 = 0, 4 = -8*t + 4*t. Calculate the remainder when 87 is divided by a.
18
Calculate the remainder when (-3160)/(-16) - 1/2 is divided by 72.
53
Let o be 378 - (-9 + (0 - -3)). Let c(w) = 4*w**2 - w. Let r be c(1). What is the remainder when 5*(o/20)/r is divided by 11?
10
Let k(f) = 7*f**2 - f - 2. Let b = 12 - 9. What is the remainder when k(b) is divided by 12?
10
Let g(b) be the third derivative of -35*b**4/24 - b**3/2 - 34*b**2. What is the remainder when g(-4) is divided by 35?
32
Let c(k) be the third derivative of k**4/12 - 17*k**3/6 - 12*k**2. What is the remainder when 51 is divided by c(15)?
12
Let g(p) = 15*p**3 + 12*p**2 - 10*p - 4. What is the remainder when g(1) is divided by (-10)/4*2/(-1)?
3
Suppose 10 = -24*m + 19*m. Let s(r) be the first derivative of -r**4/4 - r**3/3 - r**2 - 3*r - 2. Calculate the remainder when 7 is divided by s(m).
2
Let c(b) = -b**3 - b**2 - b + 8. Suppose -2*w = -5*x + 65, -53 = -5*x - 4*w + 42. What is the remainder when x is divided by c(0)?
7
Let a(i) = -8*i - 14. Let h(s) = 4 - 2*s + 5*s**3 - 1 + 8*s**2 - 5*s**3 - s**3. What is the remainder when h(5) is divided by a(-4)?
14
Let s(n) be the third derivative of -n**5/60 - 13*n**4/24 - n**3/6 + 36*n**2. What is the remainder when 110 is divided by s(-10)?
23
Suppose -98*u = -91*u - 1197. What is the remainder when u is divided by 26?
15
Suppose 557 - 261 = 4*n. Calculate the remainder when n is divided by 11.
8
Suppose 2*h = -5*x + 1715, -1374 = -377*x + 373*x - 2*h. Let z(l) = 4*l**2 - 3*l - 3. What is the remainder when x is divided by z(4)?
47
Let d(c) = 3*c**2 - 8*c + 3. Let x = -15 - -33. Let r be (8/(-2))/((-24)/x). Calculate the remainder when 9 is divided by d(r).
3
Let b = 46 - 36. Suppose 262 = b*j - 38. Let k = -21 - -29. What is the remainder when j is divided by k?
6
Let w(d) = d**2 + 5*d - 5. Let c be (-8 - -11) + 4/2. What is the remainder when w(c) is divided by 12?
9
Suppose -c - 3*s = -14, 5*c - 3*c = 4*s - 22. What is the remainder when 3 is divided by (-1 + -1 + 1)*c?
0
Let z(i) = -2*i**3 - 99*i**2 + 49*i - 40. What is the remainder when 68 is divided by z(-50)?
8
Suppose 0 = 4*l - 3*h - 232, h - 6 = -2. Calculate the remainder when l is divided by 18.
7
Let i(s) be the first derivative of s**4/4 + 4*s**3/3 - 2*s**2 - 7*s + 1. Let j be 40/(-12) + (-34)/51. What is the remainder when i(j) is divided by 6?
3
Let r(m) = m**3 - 8*m**2 + 16*m - 3. Let s be r(3). Suppose 0 = p - 5*p + 5*h + 295, s = -5*h + 5. What is the remainder when p is divided by 20?
15
Let g = -19 + 11. Suppose 74 = p + 11. What is the remainder when p is divided by g/(-12) - 92/(-6)?
15
Suppose -j - 3*h = -8, h + 5 = -4*h. Let o(g) = -83 + 175 + 2*g - 88. What is the remainder when 101 is divided by o(j)?
23
Suppose 0*n = n - 27. Calculate the remainder when ((-4)/(-10) + 55/(-75))*-321 is divided by n.
26
Let z = 2 + -15. Let s = z + 19. Calculate the remainder when ((-7)/21)/(2/(-54)) is divided by s.
3
Suppose 75104 = 59*v + 17343. Calculate the remainder when v is divided by 109.
107
Suppose -t + 32 = v, 5*v - 4*t - 135 - 7 = 0. Calculate the remainder when v is divided by 8.
6
What is the remainder when 94 is divided by (108/81)/(2/18)?
10
Suppose -677*q = -683*q + 3570. Calculate the remainder when q is divided by 120.
115
Suppose 0 = -4*t - 3*f + 89, 5*t + f - 150 = 5*f. Suppose -o = -2*o + t. Calculate the remainder when 76 is divided by o.
24
Suppose 2*l = 285 + 211. What is the remainder when l is divided by ((-1990)/597)/((-1)/15)?
48
Suppose -4*f + 213 = -3*x, 2*f - 5*x - 153 + 36 = 0. Suppose 0 = -5*b + 8*b - f. What is the remainder when b is divided by 10?
7
Suppose 2*w + 1 + 1 = 0. Let d = 53 + -37. What is the remainder when 1215/20 + w/(-4) is divided by d?
13
Let f(q) be the first derivative of q**3/3 - q**2/2 + 2*q - 5. Let z be f(0). Suppose -a - z*a + 243 = 0. What is the remainder when a is divided by 28?
25
Let x be 8/10*(-2 - -7). Suppose -x*y = 139 - 991. Suppose y = 5*q - 72. What is the remainder when q is divided by 15?
12
Let p = 114 + -65. Calculate the remainder when 91 is divided by p.
42
Let i(t) = 11*t - 73. Calculate the remainder when 144 is divided by i(8).
9
Let x(j) = j**2 - 5*j - 6. Let g be x(8). Suppose 0 = 4*f - f - g. Calculate the remainder when 11 is divided by f.
5
Suppose 4256 = -3*m + 11*m. Calculate the remainder when 117 is divided by 1/(-5) + 9/(315/m).
12
Let b = -17 + 22. Suppose 57 = b*m + 2*y, -2*m - m + 31 = -2*y. What is the remainder when m is divided by (1 - 2)/((-3)/21)?
4
Let y(o) = -o**3 - 4*o**2 + 5*o + 2. Let t be 4/(-24) + 58/(-12). Let w(x) = -x**2 - 6*x + 6. What is the remainder when w(-6) is divided by y(t)?
0
Let v(y) = -2*y**3 + 41*y**2 + 30*y - 144. Calculate the remainder when v(20) is divided by 39.
37
Let k be 6/2 - (-7)/(-7). Suppose -p - 248 = -5*p - 4*t, k*p - 3*t - 119 = 0. Calculate the remainder when p is divided by 22.
17
Suppose -6*h + 190 = 4*h. Calculate the remainder when 1/4 + (-318)/(-48)*14 is divided by h.
17
Let z = 170 + -42. Let x = 44 + z. Calculate the remainder when x is divided by 29.
27
Suppose 2*x - 3*x - 25 = 0. Let f = x - -48. What is the remainder when 65 is divided by f?
19
Suppose 4*o + 36 = 12. Let w(a) = 2*a**2 + 8*a. Calculate the remainder when 45 is divided by w(o).
21
What is the remainder when 144 is divided by ((-1)/1 + -3)/((-1236)/13905)?
9
Suppose -j - 1 = -b, -5*j - b = -2 - 11. What is the remainder when 14 is divided by j?
0
Let p(u) = -3*u**2 - 19*u - 8. Let x(d) = 2*d**2 + 9*d + 4. Let o(v) = 4*p(v) + 7*x(v). Calculate the remainder when o(9) is divided by 15.
11
Let b = -42 - -104. Calculate the remainder when b is divided by 9.
8
Let q(c) = 4*c - 3. Let y(o) = -o**3 + 5*o**2 - o - 5. Let t be y(4). Calculate the remainder when 47 is divided by q(t).
22
Let y = -3 - -7. Suppose -19 = -y*x + 25. Suppose 22 - 2 = g. What is the rema