ided by 20?
11
Let f(d) be the second derivative of -d**4/12 + d**3/3 - 7*d**2/2 - 6*d. Let r be f(6). Let w = -25 - r. Calculate the remainder when 8 is divided by w.
2
Let s be (-6)/10 + (-1932)/(-20). Let i = s + -69. What is the remainder when 106 is divided by i?
25
Let a(j) = -j**2 - 45*j - 129. Let b be a(-42). Let q(p) = -2*p - p**2 + 1 - 2*p**3 - 3*p**2 + 0. What is the remainder when q(b) is divided by 7?
4
Let u be 5 + (0 - 1)/1. Suppose -4*r - u*h - 24 = -0*h, -2*h = -3*r - 3. Calculate the remainder when 26 is divided by 2/(r - (-66)/21).
12
Suppose 0 = 3*t + 140 + 31. Suppose -20*u + 22 + 38 = 0. Calculate the remainder when t/(u/(12/(-4))) is divided by 30.
27
Suppose 2*g = -2*v + 4, 2*g = 3*v - g - 6. Suppose -w = 2*d + 1, -4*w = 5*d - v*w. Calculate the remainder when d is divided by 2.
0
Let u(l) = 3*l + 13. Let o be u(6). Let j = o - -12. What is the remainder when j is divided by 16?
11
Let k(j) = -10*j + 1. Let l(f) = f**3 - 8*f**2 + 7*f - 1. Let y be l(7). Let s be k(y). Let i = -7 + s. Calculate the remainder when 4 is divided by i.
0
Let c = -16318 + 16329. Let h be 1 - 1 - 58/2. Let t = 1 - h. Calculate the remainder when t is divided by c.
8
Calculate the remainder when 130 is divided by 185/5 + -1 + -2.
28
Let c(l) = -34*l - 1. Let y be c(-1). Suppose 5*q + 12 = -y. Calculate the remainder when (-6)/q - 380/(-15) is divided by 10.
6
Suppose l - 6 = -f, 4*f + 0*f = -3*l + 22. Suppose 32 = 3*r - l*r + q, 3*q = -5*r + 160. Let s = 45 - r. Calculate the remainder when 50 is divided by s.
11
Suppose -92*h + 88*h + 192 = 0. Calculate the remainder when 136 is divided by h.
40
Suppose 2*f = 2*k + 1 + 5, -2*k + f = 1. Suppose r - 2*h + 22 = 4*r, r = k*h + 10. Calculate the remainder when 21 is divided by r.
5
Suppose -5 = -4*g - 2*r + 7, -2*g = -4*r + 4. Suppose 2*y + y - 28 = g*k, 3*y = -4*k + 52. Calculate the remainder when 45 is divided by y.
9
Suppose 0 = -6*f + 7*f - 7. Let l(m) = -2 - m + 0 + 14. Calculate the remainder when l(0) is divided by f.
5
Let o(x) = -47*x - 340. Calculate the remainder when o(-11) is divided by 31.
22
Suppose 0 = -6*k + k + 10. Suppose -4*f + 12 = -k*j, 3*j - 6*j - 4*f = 68. What is the remainder when 33 is divided by 12/j*(-48)/2?
15
Suppose -2*u - 3 + 25 = 5*q, 5*u = 5. Suppose 4*t = 3*i + 1, q*t + 2 = -2*i + 8. Calculate the remainder when 15 is divided by i*11 - (-10 + 13).
7
Suppose 2*d = -2*s + 26, -50 - 8 = -5*d + 2*s. Calculate the remainder when 22 is divided by d.
10
Let b(w) = w - 11. Let j be b(14). Suppose -2*o = -5*r + 3, 2*o = o - j*r + 26. Calculate the remainder when 75 is divided by o.
9
Suppose 0 = -3*b + 3 + 3. Suppose -3*c + 57 = -2*c - 5*m, 0 = -m - b. Let d = -4 + c. What is the remainder when d is divided by 23?
20
Suppose -p + 5 = 0, -3*f + 5*p - 4 = 3. Suppose 29 = -f*w + 5*w. What is the remainder when 17 is divided by 4/(-12)*(w - -2)?
8
Suppose -4*x + 138 = 4*p - 2*p, 5*p = -5*x + 365. What is the remainder when 226 is divided by p?
72
Let h = 326 + -234. Let p(l) = l**2 + 2*l - 4. Let d(y) = y**3 + 7*y**2 + 7*y - 1. Let i be d(-6). Calculate the remainder when h is divided by p(i).
30
Suppose 3*r = -2*k + 259, 6*k - 3*r - 253 = 4*k. Calculate the remainder when k is divided by 41.
5
Suppose 66*x = 77*x - 220. What is the remainder when x is divided by 12?
8
Let l(v) = 10*v**2. Let n be l(-1). What is the remainder when 13 is divided by (-2)/(-2)*(-2 + n)?
5
Calculate the remainder when 80 is divided by (-2)/(-4) + 195/6 + -11.
14
Let x be 24/(6 + -2) - 3. Suppose 73 - 232 = -x*g. Calculate the remainder when g is divided by 18.
17
Let r = -262 + 332. Calculate the remainder when r is divided by 60.
10
Suppose 1324 = 5*f - n, 3*f - 6*f - 5*n + 772 = 0. What is the remainder when f is divided by 19?
17
Suppose 714 = j - 2*f, j - 3*f - 171 - 545 = 0. What is the remainder when j is divided by 9?
8
Suppose 0*l + 59 = l + 2*n, 4*l - 2*n = 226. Let q(t) = t**2 - 6*t + 2. Let o be q(4). Calculate the remainder when l is divided by 60/9*o/(-2).
17
Suppose -z - 6 = -2. Let g be (-221)/z - (-6)/8. Let o = g - 39. Calculate the remainder when 65 is divided by o.
14
Let t = 295 - 262. What is the remainder when 191 is divided by t?
26
Suppose -186 = -o + 3*a, -3*o - 37*a + 510 = -34*a. What is the remainder when o is divided by 36?
30
Let l(o) = 3*o**3 - 4*o**2 - 2*o + 2. Suppose k + 12 = 5*k. Suppose -f + 17 = 2*b, 1 = -2*b + 3*f + 38. What is the remainder when l(k) is divided by b?
8
Let v = -45 + 45. Suppose -4*b = -4*m + 15 + 45, 2*b = v. Calculate the remainder when 23 is divided by m.
8
Suppose -8*r = -2 - 22. Suppose -18 + 90 = r*k. Calculate the remainder when 69 is divided by k.
21
Suppose 5*l + 5*q = -55, 2*l + q = -4*q - 25. Calculate the remainder when 6/4 + 2/(-8)*l is divided by 1.
0
Let v = -29 + 16. Suppose -5*s - 112 = -37. Let z = v - s. What is the remainder when 7 is divided by z?
1
Let y(t) = 2*t**2 - 2*t. Let x be -2 - 12/(-7 + 3). Suppose -x = 4*w + 15. Calculate the remainder when y(w) is divided by 21.
19
Suppose -23*u + 405 = -1481. Let f(x) = x**3 - 8*x**2 - 8*x - 2. What is the remainder when u is divided by f(9)?
5
Suppose -k - 6 = -4*j, 2*j + 23 + 19 = 5*k. Suppose 3*w - 81 - 6 = 0. Calculate the remainder when w is divided by k.
9
Let s(m) = 3*m - 7. Let q be s(3). Suppose 2*i + i - 184 = q*y, -2*i + 126 = 2*y. What is the remainder when i is divided by 16?
14
Suppose -4*z + 1341 = o, 674 = -18*z + 20*z + 4*o. Calculate the remainder when z is divided by 109.
8
Suppose 3*g - 4*g = 5*g. Let s = 1 - -24. What is the remainder when s is divided by 9 + (g/(-4))/(-5)?
7
Let d = 928 - 869. What is the remainder when 117 is divided by d?
58
Suppose 9 + 27 = 3*y. Suppose -m - 213 = -4*m + 3*s, -s + 205 = 3*m. Calculate the remainder when m is divided by y.
9
Suppose -4*v - w + 13 = 0, -v + 5*w - 2 = -0*w. Suppose 0 = -v*i - b + 48, -4*i + 0*i + 4*b + 48 = 0. What is the remainder when 28 is divided by i?
13
What is the remainder when 390 is divided by 4/2*(-168)/(-6)?
54
Let z(l) = -l**2 + 15*l + 2. Let p be z(15). Suppose 4*f + 84 + 114 = p*d, 4*f = -d + 123. Suppose 15 = -4*n + d. What is the remainder when n is divided by 8?
7
Let l(g) = 15*g + 12. Let b(t) = 61*t + 49. Let s(a) = 2*b(a) - 9*l(a). What is the remainder when s(-9) is divided by 36?
35
Suppose -4*w + 5*c = -76, -5*w - 2*c + 88 + 7 = 0. What is the remainder when 264 is divided by w?
17
Let n = 876 + -530. Calculate the remainder when n is divided by 58.
56
Suppose -5*g + 3*n = -195, 2*g = g - 5*n + 11. Let y(t) = t - 3. Let z be y(10). Calculate the remainder when g is divided by (-2)/z - (-465)/35.
10
Let p = 175 - 162. What is the remainder when 89 is divided by p?
11
Suppose 5 = -2*m + 7*m. Let y(r) = -2*r + 0 + 2 + 5*r - r. Calculate the remainder when y(0) is divided by m.
0
Let d(u) be the third derivative of u**6/120 - u**5/6 + 13*u**4/24 + u**3/2 - u**2. Suppose 17 = 6*o - 37. What is the remainder when d(o) is divided by 7?
4
Let c(o) be the first derivative of -15*o**2/2 - 6*o + 20. Calculate the remainder when c(-4) is divided by 19.
16
Suppose -5*k = 3*k + 248. Let d = -16 - k. Calculate the remainder when 103 is divided by d.
13
Let p(r) = 37*r - 126. What is the remainder when p(7) is divided by 44?
1
Let q(n) = -8*n**2 + 2*n + 2. Let z(r) = -16*r**2 + 5*r + 4. Let f(j) = -5*q(j) + 2*z(j). Let x = 28 - -60. Calculate the remainder when x is divided by f(-2).
28
Let d = 26 + -23. Let q = -12 - -22. Calculate the remainder when q is divided by 7/3 - -2*d/9.
1
Suppose -5*j - 5 = 0, 5*j - 6*j - 113 = -v. Suppose 0 = -5*p + v + 88. Calculate the remainder when 157 is divided by p.
37
Let r = -117 + 166. Let g be (2/(-2) + 1)/2. Suppose 17 = t - g*t. Calculate the remainder when r is divided by t.
15
Suppose 4*o = 7 + 1. Suppose -2 = -y + 1. Suppose -y*j = -4*j + 4. Calculate the remainder when j is divided by o.
0
Let p = 18 - 21. Calculate the remainder when 43 is divided by 2 - (81 - p)/(-4).
20
Suppose 222 = 9*b - 75. What is the remainder when 77 is divided by b?
11
Let o(j) = j**2 - 9*j - 3. What is the remainder when 2 + -1 + 212/4 is divided by o(11)?
16
Let g = -964 + 1011. Calculate the remainder when 133 is divided by g.
39
Let i(a) = a**2 - 19*a + 21. Let y 