the remainder when 50 is divided by k(-20).
21
Let p(w) be the first derivative of 5*w**2 + 6*w + 5. Let d(t) = 3*t - 8. Calculate the remainder when p(4) is divided by d(8).
14
Suppose -2*z - 5*r = -143, 3*r + r - 197 = -3*z. Let n(l) = -l**3 + 7*l**2 - 32*l + 172. Calculate the remainder when z is divided by n(6).
11
Let l be 6/21 + (-183)/(-21). Suppose -4*n = 7 + l. Let m = -2 - n. What is the remainder when 4 is divided by m?
0
Let k be (-12)/9*(-36)/8. Let g(j) = -k + 7*j**2 - 4*j + 3 + 0*j**3 + 0*j**3 - j**3. What is the remainder when 24 is divided by g(6)?
6
Let a be 8 + 1 - ((-72)/6)/(-3). Suppose 4*k + a*p = -k + 160, 0 = p + 1. What is the remainder when 128 is divided by k?
29
Suppose 36*u - 196 = 524. Calculate the remainder when 173 is divided by u.
13
Let j be 4 + 4*(-6)/4. Let i(u) = -u**3 - u**2 + 3*u + 2. What is the remainder when 30 - 0/(j - -1) is divided by i(-3)?
8
Let g(f) = f**3 + 4*f**2 - 7*f - 9. Let r be g(-5). Suppose -3*s - 2*c + 494 = s, -r = -c. Calculate the remainder when s is divided by 31.
30
Let m(j) = 149*j - 581. What is the remainder when m(6) is divided by 63?
61
Let w(y) = 13*y**2 - 5*y - 8. Let b = 22 - 11. Calculate the remainder when w(-2) is divided by b.
10
Let q(k) = 3*k + 55. Let o(b) = -b**3 - 2*b**2 - 3*b - 5. What is the remainder when o(-3) is divided by q(-16)?
6
Suppose 0 = 3*p - 5 - 1. Suppose 7*o + 2*h - 68 = p*o, 0 = o + h - 13. Calculate the remainder when 27 is divided by o.
13
Let h(n) = 20*n + 424. What is the remainder when h(-19) is divided by ((-26)/2 - -1)*-1?
8
Let z(p) be the first derivative of p**2/2 - 7*p + 3. Let h be z(8). Calculate the remainder when 36 is divided by (h/(-1))/(7/(-133)).
17
Let h(y) = y**3 - 28*y**2 + 81*y - 17. What is the remainder when h(26) is divided by 19?
15
Let h = 611 + -599. Calculate the remainder when 383 is divided by h.
11
Suppose 3*z - 14 = 2*s, -19 = -3*z + 3*s - 10. What is the remainder when 15 is divided by z?
7
Suppose 0 = i - 5*j + 7, 2*j + 1 = 7. Suppose 0 = 4*p - 52 - i. What is the remainder when p is divided by 10 - (-3 + 3)*1?
5
Let z be (0 - 3 - -6) + (21 - -1). Suppose 188 = 3*f - d, 3*d = -f + 71 - z. Calculate the remainder when f is divided by (-378)/(-24) + 2/8.
13
Let b = -1 + 14. Let n be 2/(-10) - (-3)/15. Suppose -r + 4*g = 3*g, n = -r - 4*g + 25. What is the remainder when b is divided by r?
3
Let i = 12 + -10. Suppose -2*f + 130 = i*v, -5*f - 40 = -2*v + 90. What is the remainder when 15/(-1)*(-26)/v is divided by 3?
0
What is the remainder when 53 is divided by ((-90)/171)/(-5) - 621/(-57)?
9
Suppose 0 = 3*k + 4*o - 92, -3*o = 4*k - 0*o - 118. Suppose -6 = c - k. Calculate the remainder when c is divided by 13.
9
Let n(p) = p**2 + 12*p + 55. What is the remainder when n(-16) is divided by 10?
9
Suppose -2*w + 2*v = -13 - 317, -v = 1. Calculate the remainder when w is divided by 47.
23
Let w = -1384 + 1390. Calculate the remainder when 252 is divided by w.
0
Suppose g = 2*w + 4, 2*w + 24 = 7*g - 4*g. What is the remainder when 20 is divided by g?
0
Suppose 3*v = 1 + 23. Let l(w) = -v*w**2 - w**3 - 11 + w**2 + 2*w + 11*w - 7*w**2. Calculate the remainder when l(-15) is divided by 5.
4
Let y(i) = 2*i - 21. Let w be y(12). Calculate the remainder when 25 is divided by 16 + 3*(2 - w).
12
Let a = -245 + 463. Calculate the remainder when a is divided by 37.
33
Let c(u) = u**2 + 5*u + 2. Let a(n) = 7*n**2 - n + 1. Let q be a(-1). Calculate the remainder when (q/(-6))/((-5)/10) is divided by c(-5).
1
Suppose 11 - 7 = x. Suppose -x*q - 5*i + 36 = -0*q, 2*q = -3*i + 16. What is the remainder when 53 is divided by q?
11
Let g be (-2*14/(-16))/(8/(-32)). Let q = g - -40. Calculate the remainder when 95 is divided by q.
29
Suppose -3*g = 24*a - 28*a + 432, 2*a - 202 = -2*g. Calculate the remainder when a is divided by 64.
41
Let x(c) = c**3 - 12*c**2 + 15*c - 6. Let y be x(11). Suppose -2*k + 7*l - 4*l = -y, -5*k + 4*l = -95. What is the remainder when k is divided by 10?
9
Suppose -3 = -h, 5*h = -o + 3*o - 151. What is the remainder when o is divided by 7?
6
Let h = -2781 - -2785. What is the remainder when 205 is divided by h?
1
Suppose 0 = u + 2*u + c + 88, 2*c = -u - 21. Let g = u + 35. Suppose 0 = -3*q - 3*i + 36, -q + 9 = -0*q - 2*i. What is the remainder when q is divided by g?
3
Let p = -2304 + 2308. What is the remainder when 250 is divided by p?
2
Let a be 22 - 0/((-2)/2). Suppose 5*p = 4*y + 194, -a = -6*p + 5*p + 5*y. Let u = -9588 + 9610. Calculate the remainder when p is divided by u.
20
Let o(k) = k**2 + 4*k - 5. Suppose 2*q = g - 27, -g - 2*g - q = -116. Let h = g + -33. What is the remainder when 105 is divided by o(h)?
24
Let f(d) = 24*d + 26*d - 8*d - 6*d. Let r be f(4). Suppose -5*o + o = -r. What is the remainder when 107 is divided by o?
35
Let j(h) = -146*h + 3. Let p be j(-6). Suppose 0 = 3*s + 294 - p. Suppose 2*m = -3*m + s. What is the remainder when m is divided by 20?
19
Let p(j) = 8 - 9 - j**2 - 12*j - 6. Let g = 10 + -18. Calculate the remainder when p(g) is divided by 7.
4
Let a(y) = -6*y - 8*y + 27 + 15*y. Calculate the remainder when 126 is divided by a(-11).
14
Let n(u) = 2*u**2 - 4*u - 9. Suppose 19 = -5*i + 4. What is the remainder when 81 is divided by n(i)?
18
Let y be -1 + 0 + 44/4. Let s = -1 + y. What is the remainder when 17 is divided by s?
8
Let t = 26 - 44. Let f = t - -33. What is the remainder when 28 is divided by f?
13
Suppose -3*u - 4 = 5*f + 3, 5*f + 11 = u. Suppose -5*h + 130 = -2*p + 180, -p + 2*h + 23 = 0. What is the remainder when (u + 0)*54 - -2 is divided by p?
11
Suppose -4*a - 3*s + 641 = 0, s + 146 + 338 = 3*a. What is the remainder when a is divided by 5?
1
Suppose 0 = 2*r + 3*r - 105. Suppose -8*z = -63 - 65. Calculate the remainder when r is divided by z/(-2)*7/((-28)/3).
3
Suppose -3*f + 5*m = -0*f - 71, 5*f - 170 = -2*m. Let t(w) = -w + 16. Let p be 1 - (-8)/4*2. Calculate the remainder when f is divided by t(p).
10
Let a(k) be the third derivative of -k**5/60 - 5*k**4/12 + k**3/6 - 2*k**2. Calculate the remainder when a(-8) is divided by 2.
1
Let i = 34 + -32. Suppose -i*f - 2*s = -88, f + 4*s + 4 - 39 = 0. What is the remainder when 138 is divided by f?
44
Suppose -62*i - 9 = -65*i. Let p = 0 + 9. Calculate the remainder when i/4*(54 + -10) is divided by p.
6
Let x(s) = 68*s + 57. What is the remainder when 392 is divided by x(0)?
50
Suppose -16 - 2 = -9*o. Let i(a) = 49*a - 15. What is the remainder when i(o) is divided by 28?
27
Let f(x) = -2*x**2 - 70*x - 177. Suppose -4*m + 2*m = -50. Calculate the remainder when m is divided by f(-32).
10
Suppose 196 = 3*q + 4*w, -43*q = -42*q - 5*w - 97. What is the remainder when 94 is divided by q?
22
Let v = -2 + 4. Suppose -4*n + 0*b - 2*b = -38, -2*n + v*b = -16. Calculate the remainder when 42 is divided by n.
6
Suppose -45 = -2*b - b. Suppose 3*n + 16 = r - 30, -5*n + 20 = 0. What is the remainder when r is divided by b?
13
Let t = -27 + 26. Let r(k) = 52*k**2 + 1. Calculate the remainder when r(t) is divided by 9.
8
What is the remainder when (-15)/35 + 25510/70 is divided by 118?
10
Suppose 2*n - 9 = -19, 0 = 2*b - 3*n + 1. Suppose 4*m - 26 = 2. What is the remainder when 4 + (8 - b) + 1*-1 is divided by m?
5
Suppose -6*o = o - 154. What is the remainder when o is divided by 6?
4
Let p be (6/5)/((-6)/15). Let u be (3/p)/(2 + -3). Suppose 2*k - 3 = u. Calculate the remainder when 4 is divided by k.
0
Let h be 24*(-2 + 4) + -4. Suppose -8 = -h*x + 40*x. Calculate the remainder when 8 is divided by x.
0
Suppose 2*k - 10 + 74 = 0. Let r = -29 - k. Suppose w - 3*v = 31, -5*w + 22 = -r*w + 2*v. What is the remainder when 78 is divided by w?
14
Let m(f) = -3*f + 155. Calculate the remainder when m(-17) is divided by 11.
8
Suppose 2*m + 3 - 7 = 0. Suppose 3*o - 2*l = -10, 0 = m*o - l - 0*l + 6. Let w(p) = -p**3 - 2*p**2 - p + 2. What is the remainder when w(o) is divided by 1?
0
Suppose 13*k = 4*k + 828. Calculate the remainder when k is divided by 43.
6
Let f be 100/(-3)*18/(-3). Suppose -9*o - o + f = 0. Calculate the remainder when 78 is divided by o.
18
Let x be 4*1*2/4. Suppose 11 = 3*w + x. Let f = -528 - -529. Calculate the remainder when w is divided by f.
0
Suppose 4*m - j = 3*j + 24, 0 = -2*m - 2*j. Let z 