is the remainder when k is divided by 3?
1
Let s(b) = -80*b**3 + 2*b**2 + b - 1. What is the remainder when s(-1) is divided by 21?
17
Let z(a) = -a**3 - 6*a**2 - 6*a + 2. Let d = -7 - -2. Calculate the remainder when 19 is divided by z(d).
5
Suppose 0 = -5*k + 133 + 27. Calculate the remainder when 93 is divided by k.
29
Suppose -4*m = -0*m + 5*q - 43, m + q - 12 = 0. Let f be (-56)/(-1) - (1 + -1). Let v = f - 6. Calculate the remainder when v is divided by m.
16
Suppose -3*y + 14 = 2*y - 3*w, 3*w = 6. Suppose y*s - 18 + 74 = 0. Calculate the remainder when 22 is divided by (-6)/5*(s + 4).
10
Suppose 0 = 5*j + 4*z - 23, -z + 6 = -3*z. Let g = j + -6. Calculate the remainder when 7 is divided by 1 - -4 - (g + 0).
3
Suppose -36 = -4*b + 4*w, 3*w - 7 = 8. What is the remainder when 24 is divided by b?
10
Let k = -7 + 8. Let o(p) = 2*p**2. Calculate the remainder when 3 is divided by o(k).
1
Suppose -214*p - 108 = -218*p. Calculate the remainder when 39 is divided by p.
12
Let q be (-7)/(-49) - 57/7. Let x = 0 - 5. Let c = x - q. Calculate the remainder when 8 is divided by c.
2
Let i = -2 - -7. Calculate the remainder when 14 is divided by i.
4
Let l(x) = -6*x**3 + 2*x**2 + x - 1. Let t = -2 + 6. Calculate the remainder when l(-1) is divided by t.
2
Suppose -2*a = -0*m + m - 37, 2*m = -a + 26. What is the remainder when 60 is divided by a?
12
Suppose 0 = -3*l - 3*h + 111, l - 2*h - 111 = -2*l. What is the remainder when l is divided by 19?
18
Let g(r) = -100*r - 100. Let b(j) = -11*j - 11. Let l(z) = 28*b(z) - 3*g(z). Calculate the remainder when l(-6) is divided by 21.
19
Let g(f) = f**3 + 10*f**2 + 7*f + 13. Let q(x) = -x + 3. Calculate the remainder when g(-9) is divided by q(-8).
9
Let v = 45 + 18. What is the remainder when v is divided by 17?
12
Suppose 4*f - 1 - 7 = 0, 0 = 2*n + 4*f - 110. Calculate the remainder when n is divided by 11.
7
Let m(t) = t**2 - 6*t - 8. Let z be m(8). Let g = z - 3. Calculate the remainder when (-9)/(-6)*24/4 is divided by g.
4
Suppose -4*v = -8, -v = -3*t + 2*v + 45. Let r(d) = d**3 - d + 9. Let h be 2/4 + 2/(-4). What is the remainder when t is divided by r(h)?
8
Suppose y = -4*y + 15. Let t(d) = -2*d + 5*d**2 + 1 + 0 - 4*d**2. Calculate the remainder when 7 is divided by t(y).
3
Suppose -4*w + 10 + 2 = 0, -4*w - 20 = -2*x. Calculate the remainder when 46 is divided by x.
14
Let t = -13 - -21. What is the remainder when 16 is divided by (18/8)/(2/t)?
7
Suppose -8*p + 5*p + 48 = 0. What is the remainder when 47 is divided by p?
15
Suppose -2 = -4*l + 10. Let r = 180 + -108. Suppose -d - l*d = -r. Calculate the remainder when d is divided by 10.
8
Let g(m) = m**3 - 11*m**2 - 10*m - 2. What is the remainder when 87 is divided by g(12)?
21
Let r(k) = 2*k**2 - 6. Suppose -3*a + 4*a + 5*l - 32 = 0, 0 = -3*a + 3*l + 6. What is the remainder when r(-3) is divided by a?
5
Let m = 5 - -4. Calculate the remainder when 21 is divided by m.
3
Let n = -5 - -7. What is the remainder when (n - 0 - -40) + 1 is divided by 15?
13
Suppose 13*t - 200 = -57. Let w(m) = -m**2 - 10*m - 5. Let c be w(-7). Suppose 2*d = c + 44. Calculate the remainder when d is divided by t.
8
Let d(z) = 8*z - 3. Let m be d(13). Let q = m + -69. What is the remainder when 126 is divided by q?
30
Suppose -2*d + 24 = 6*b - b, 6 = -2*d. What is the remainder when 7 is divided by b?
1
Let v = -5 + 16. Calculate the remainder when 7/21*(-288)/(-3) is divided by v.
10
Let c(o) = o**3 - 7*o**2 + o - 1. Let d be c(7). Suppose -2*m = -d*m + 132. What is the remainder when m is divided by 12?
9
Let b = -11 + 23. Suppose -20 = -2*y + 2*a, -5*a + 8 - 23 = 0. What is the remainder when b is divided by y?
5
Let v = 189 + -183. Calculate the remainder when 125 is divided by v.
5
Let o = 3 + -1. Suppose -5*f + 24 = -3*a + 7*a, -o*f + 5*a = -3. Calculate the remainder when 7 is divided by f.
3
Let z(q) = q**2 - 5*q - 26. Calculate the remainder when z(12) is divided by 15.
13
Let q(v) be the third derivative of -v**4/12 + 2*v**3/3 - 4*v**2. Suppose -2*i + i = 4. What is the remainder when 33 is divided by q(i)?
9
Let k be 42*(1 + 1/(-2)). Calculate the remainder when 2*(86/4 + -1) is divided by (-2)/(18/k + -1).
13
Let m be 1*-1 - 5/(-5). Suppose m = t - 5*t + 8. Suppose -3*q + t*q + 12 = 0. What is the remainder when q is divided by 7?
5
Let q(u) = -u**2 + u + 29. Suppose 15*o - 11*o = 0. Suppose 0 = 2*c - 5*v - 57, 2*c + 5*v = 3*c - 41. Calculate the remainder when q(o) is divided by c.
13
Let b(d) = -d**3 + 3*d**2 - 2*d + 1. Let s be b(2). Suppose s = -5*r + 71. Suppose 102 = 2*w + 20. What is the remainder when w is divided by r?
13
Let u(z) = 12*z + 7. Let n(k) = -k**2 + 25*k + 14. Let x(a) = -2*n(a) + 5*u(a). What is the remainder when 36 is divided by x(-6)?
17
Let g(q) = -q**2 + 9*q - 8. Suppose 2*d - 35 = -5*d. What is the remainder when 21 is divided by g(d)?
9
Let l = 13 + -19. Suppose -2*s = -4*s + 22. What is the remainder when s is divided by (2 + 0)/((-4)/l)?
2
Calculate the remainder when 31 is divided by 18 - (3 + -1)/2.
14
Calculate the remainder when (-2 - (5 + -7)) + 87 is divided by 11.
10
Let k = -4 + 12. Let w(a) = -a + 3. Let j be w(5). Calculate the remainder when k is divided by -1 + 5 + (-1 - j).
3
Let s = 268 + -178. What is the remainder when s is divided by 23?
21
Suppose -24 = -5*c + 4*p, 2*c - 32 = -2*p - 8. Calculate the remainder when 23 is divided by c.
7
Suppose -5*h + 18 + 177 = 0. Calculate the remainder when h is divided by 14.
11
Let d(r) = r**3 - 11*r**2 - 13*r + 28. What is the remainder when 31 is divided by d(12)?
15
Let c(z) = -3*z**3 - 5*z**2 + 5*z + 5. What is the remainder when c(-4) is divided by 17?
12
Let b = -1 - -1. Suppose b = 5*j - 39 + 4. Suppose 5*u - 59 - 1 = 0. What is the remainder when u is divided by j?
5
Let k(h) be the second derivative of 5*h**3/6 - h**2 - 2*h. Suppose -g + 2*g - 9 = 0. What is the remainder when k(g) is divided by 15?
13
Calculate the remainder when 42 is divided by -3*(8/(-2) - -1).
6
Suppose 46 = -15*a + 16*a. Calculate the remainder when a is divided by 27.
19
Suppose 2*c = 4*q + 180, 3*c - 3*q - 441 = -165. Calculate the remainder when c is divided by 19.
18
Suppose 0 = 2*v - 4*v + 8. What is the remainder when 8 is divided by v?
0
Suppose -t + u + 2*u = -32, -t = -2*u - 27. Calculate the remainder when 98 is divided by t.
13
Let v(p) = -3*p + 11. Calculate the remainder when v(-4) is divided by 5.
3
Let v(f) = -f**3 + 6*f**2 + 2*f + 4. Calculate the remainder when 45 is divided by v(6).
13
Suppose 0 = 3*s + s - 84. What is the remainder when s is divided by ((-22)/2)/((-2)/2)?
10
Suppose -6*t + 2*t = -148. Suppose 5*u = 49 + 51. Calculate the remainder when t is divided by u.
17
Let p = -120 + 125. Calculate the remainder when 17 is divided by p.
2
Suppose -2*y + 25 = k, -4*k + 6*k = 3*y - 27. Let v(m) = 9*m + 1. Calculate the remainder when v(2) is divided by y.
8
Let a(d) = -49*d - 178. Let m(z) = -z**3 + z**2 + 2*z + 3. Calculate the remainder when m(-3) is divided by a(-4).
15
Let y(m) = 2*m**2 - 50*m + 57. What is the remainder when 38 is divided by y(24)?
2
Suppose -4*s + 13 = -43. Suppose 0 = -19*y + 12*y + 476. Calculate the remainder when y is divided by s.
12
Suppose -2*o + 5*x = -139, -4*o + 5*x + 138 = -125. Calculate the remainder when o is divided by 16.
14
Let l = -2 - -6. Let w(g) = -18*g - 2. Let p be w(-3). Suppose 0 = 3*z - p + 19. Calculate the remainder when z is divided by l.
3
Let a(b) = -b**3 - 8*b**2 - b + 1. Calculate the remainder when 23 is divided by a(-8).
5
Suppose -5*n + 191 = -69. Calculate the remainder when n is divided by 27.
25
Calculate the remainder when (-3 - -4 - -124) + 5 is divided by 27.
22
Let u(h) = -6*h - 6. Let v be u(-6). Suppose -31 - 14 = -3*k. What is the remainder when v - 3*(-6)/(-9) is divided by k?
13
Let t(x) = -x**3 - 4*x**2 + 7*x - 6. Let i be t(-6). Suppose -i = -3*y + 18. What is the remainder when 69 is divided by y?
13
Suppose -2*y + 4*f + 14 = 0, -5*f - 1 - 24 = 5*y. Let j = -123 - y. Calculate the remainder when j/(-6) - 10/(-15) is divided by 11.
10
Let u be 710/30 - (-2)/6. Let m(a) = -a**2 - 5*a + 3. Let n be m(-5). Suppose u = f + n*f. What is the remainder when 10 is divided by f?
4
Let h be (0 - (-3 - -1)