at is the remainder when k is divided by 2?
0
Let d(m) = -2*m - 19. Let c(n) be the first derivative of -n**3/3 - 6*n**2 - 15*n - 3. What is the remainder when d(-18) is divided by c(-10)?
2
Let x(a) be the third derivative of -7*a**4/24 - a**3/3 + 4*a**2. What is the remainder when 103 is divided by x(-4)?
25
Let q(x) = -x**3 + 4*x**2 + 3*x + 5. Let w(j) = j**3 + 7*j**2 + 10*j + 1. Calculate the remainder when q(4) is divided by w(-4).
8
Let u(x) = -24*x**3 - 2*x**2 + 2*x + 1. Suppose -5*c - 13 = -3. Let i be u(c). Suppose -45 = 4*d - i. Calculate the remainder when d is divided by 12.
10
Let l(h) = -2*h + 3. What is the remainder when 27 is divided by l(-1)?
2
Let x = -48 - -59. Calculate the remainder when x is divided by 3.
2
Let g(l) = -3 + 6*l**2 + 2 - 5*l**2. Let i = -17 - -40. What is the remainder when i is divided by g(3)?
7
Suppose 0 = -v - 4, 0 = 5*j + 4*v + v + 95. What is the remainder when 8/5 - 6/j is divided by (-2)/8 + 27/12?
0
Suppose -57 = -3*v - 0*v. Calculate the remainder when v is divided by 12.
7
Calculate the remainder when (4*-5)/((-2)/(-14)*-2) is divided by 18.
16
Let q(s) = -s**2 + 3*s - 4. Let b be q(5). Let m = 63 + b. What is the remainder when m is divided by 13?
10
Let b = -5 + 10. Suppose -4*a = -5*f + 104, 2*f - b*a - 43 = -2*a. Calculate the remainder when f is divided by 11.
9
Let m = 15 + 27. Calculate the remainder when m is divided by 11.
9
Suppose -5*m = -m + 20, 3*m = 4*c - 79. What is the remainder when 63 is divided by c?
15
Suppose -1229 = -3*t - l - 4*l, -5*t + 2115 = -5*l. Suppose -6*c + t = -2. Calculate the remainder when c is divided by 24.
22
Suppose -2*g - 2*g = -56. Suppose 10 = 5*v - 3*v. Calculate the remainder when g is divided by v.
4
Let t(o) = o**3 - 6*o**2 - 4*o - 7. Calculate the remainder when 39 is divided by t(7).
11
Let l(x) be the first derivative of x**3/2 - 3*x**2/2 - x - 4. Let j(k) be the first derivative of l(k). What is the remainder when j(7) is divided by 10?
8
Suppose -2*t = -3*w + t - 42, 4*w = 3*t - 53. Let d = -8 - w. What is the remainder when 11 is divided by d?
2
Let o(a) = 2*a - 3. Let z be o(3). Let i be (3/(-2))/(z/4). Let u(t) = 4*t**2 - 1. What is the remainder when 43 is divided by u(i)?
13
Let g(d) be the first derivative of d**2/2 - 4*d - 2. Calculate the remainder when g(5) is divided by 1.
0
Suppose 0 = -3*u - 4*r - 2, 0 = -3*u + 2*r + r + 12. Suppose u*m + 2*m = 168. Calculate the remainder when m is divided by 22.
20
Let g(d) = -d**2 - 9*d + 3. Let a(s) = 22*s. What is the remainder when a(2) is divided by g(-5)?
21
Let g(r) = -r**3 - 4*r**2 + 6*r + 5. Let v be g(-6). Suppose 3*w - 4 = v. Calculate the remainder when 513/12 + (-5)/(-40)*2 is divided by w.
13
Let h(a) = a + 10. Suppose 0*u = -4*u - 28. Calculate the remainder when h(u) is divided by 2.
1
Let z be 0*(20/(-12))/(-5). Suppose z = 5*p - 79 - 36. What is the remainder when 66 is divided by p?
20
Let k be 12/(-4 + 70/16). Let m = k - -14. Calculate the remainder when m is divided by 16.
14
Let r(o) = -o**3 + 8*o**2 + 7*o - 3. What is the remainder when r(8) is divided by 14?
11
Let w = 66 + -47. Calculate the remainder when 37 is divided by w.
18
Let c(y) = -2*y**2 + 2*y + 2. Let q be c(2). Calculate the remainder when 65 is divided by q/(6/51)*-1.
14
Let l = 16 + -9. Calculate the remainder when 27/(((-2)/(-2))/1) is divided by l.
6
Let z = -3 - -8. Suppose 2*m - 37 = 11. Let n = 41 - m. Calculate the remainder when n is divided by z.
2
Suppose -2*w - 3*o = -6*o + 100, w + o + 45 = 0. Let f = -26 - w. Let g = 115 + -74. Calculate the remainder when g is divided by f.
20
Suppose 5 + 4 = g. Suppose 3*c + g = 6*c, p + 5 = 5*c. What is the remainder when 38 is divided by p?
8
Suppose 3*t - 21 = -0*t. Let m(q) = -6*q - 1. Let s be m(-3). Suppose 3*i - t = s. What is the remainder when 22 is divided by i?
6
Calculate the remainder when 73 is divided by -1 + 4/(12/117).
35
Suppose 5*m - 9 = 31. Suppose 4*s - 4*y + 9*y = 33, -m = s - 2*y. Suppose s*q - 35 = -9. Calculate the remainder when q is divided by 7.
6
Let u(z) = z**3 - z**2 - z + 36. Let x be u(0). Let t = x - -24. Calculate the remainder when t is divided by 21.
18
Let u(i) = i**3 - 4*i**2 - 10*i + 11. Calculate the remainder when 252 is divided by u(6).
22
Suppose 3*s - l = -45, -2*s + 2*l + 10 = 36. Let f(q) = -4*q - 4. What is the remainder when f(s) is divided by 21?
18
Suppose -4*w = -5*r + 251, -170 - 22 = -4*r + w. Calculate the remainder when r is divided by 8.
7
What is the remainder when 40 is divided by (24 - 2)*(-1)/(-2)?
7
Suppose -4*y + s + 3 = 0, 5*y + s = 1 - 4. Let h = 2 + y. What is the remainder when 4 is divided by h?
0
Suppose -2*r - 3*q = -13, 5*r - 4*r - 4 = q. Suppose 5*y - 3*c = 79, -r*c - 58 = -3*y - y. Calculate the remainder when 48 is divided by y.
14
Suppose -4*q - 4 = 0, 2*q + 23 = 2*g - q. Let p(s) = -s**2 - 4*s - 5. Let d be p(-3). Calculate the remainder when (-87)/(-6)*d/(-1) is divided by g.
9
Let k(l) = l**2 + 4*l + 2. Let u(h) = h**3 - 4*h**2 - 1. Let d be u(4). Let c = 4 + d. Calculate the remainder when k(-5) is divided by c.
1
Let l be (-5)/(15/(-6)) - 1. Let q = l - -2. Let x = 10 - 8. Calculate the remainder when q is divided by x.
1
Suppose p + 2*p = 84. Calculate the remainder when p is divided by 10.
8
Suppose 0 = -4*w + 9 + 3, 3*c - 5*w = -15. Suppose c*k = -3*k + 75. What is the remainder when k is divided by 13?
12
Let w = 71 + -39. Calculate the remainder when 159 is divided by w.
31
Suppose -9 - 6 = n - 4*t, n + 5*t = 21. Let h = n - 1. Suppose -2*u - 3*u + 85 = h. What is the remainder when 49 is divided by u?
15
Let l(m) = m**2 + m + 0*m**2 - 3*m**2 + 2 + m**2. Let q be l(3). What is the remainder when (q/3)/((-1)/15) is divided by 11?
9
What is the remainder when 38 - 2/8*4 is divided by 13?
11
Let c(o) = -o**2 - 14*o + 1. Let b be c(-10). Let z = -24 + b. What is the remainder when 65 is divided by z?
14
Suppose -2*m = 4*d - 124, 4*m - 4*d - 18 - 242 = 0. Suppose 0 = 2*v - 4*w - 43 - 19, -4*v = 4*w - m. Calculate the remainder when 40 is divided by v.
19
Let h(v) = -v + 4. Suppose 81 = 5*s + 31. Calculate the remainder when (-296)/(-10) - 6/s is divided by h(-6).
9
What is the remainder when 0 - (-98 + (3 - -1)) is divided by 32?
30
Let h(i) = 39*i - 2. Let l be h(-3). Let g = -78 - l. Let q = g - -15. Calculate the remainder when q is divided by 19.
18
Let g = 611 + -418. Let r = g - 138. Calculate the remainder when r is divided by 14.
13
Suppose 65 = -7*b + 2*b. Let l(t) = 867*t**2 - 19 - 866*t**2 + 2*t + 9*t. What is the remainder when 11 is divided by l(b)?
4
Suppose -2*w + 6 = 5*q, -6 = 2*q + 3*w + 2*w. What is the remainder when 6 is divided by q?
0
Let x(z) = -z**3 + z**2 - z + 8. Let b be x(0). Let h = -6 + b. Let y = -65 - -69. What is the remainder when y is divided by h?
0
Let u(x) = -x**3 - 6*x**2 + 7*x - 3. Suppose -3*g - 21 = -0*g. Let i be u(g). Calculate the remainder when 19 is divided by i/6 - (-42)/4.
9
Suppose 4*h - 7*m + 2*m = 66, 2 = m. Let v = -199 - -385. Suppose v = 5*b - 89. What is the remainder when b is divided by h?
17
Let m = 11 + -19. Let y be (-4)/m + (-69)/(-2). Suppose -2*b = -15 - y. Calculate the remainder when b is divided by 9.
7
Let v(s) = -23*s - 8. Let t be 4/(-8)*4 - 1. What is the remainder when v(t) is divided by 16?
13
Let m = -35 + 41. What is the remainder when 52 is divided by m?
4
Suppose v + 15 = -2*n + 51, v = -3*n + 36. Let w(l) = -l**3 + 5*l**2 + 3*l - 2. Calculate the remainder when v is divided by w(5).
10
Suppose -n = -4 - 1. Suppose 3*k = -y + 8, y - n*y = -k - 71. What is the remainder when 33 is divided by y?
16
Let d = 79 + -47. Calculate the remainder when 62 is divided by d.
30
Suppose 3*d + 3*t - 2*t = 11, 2*d - 3*t - 11 = 0. Suppose -106 = -d*f + s, -f - s - s + 31 = 0. Calculate the remainder when f is divided by 14.
13
Suppose 2*m - 83 = 9. Suppose 3*v = 29 + m. What is the remainder when v is divided by 13?
12
What is the remainder when ((-2)/3)/((11/21)/(-11)) is divided by 8?
6
Suppose 5*x - 10 = -0. Suppose 3*g + 2*n + 4 = -0*g, 27 = g - 5*n. What is the remainder when x is divided by g?
0
Let b be 4/(-2)*(0 + 4). Let a = 2 - b. Calculate the remainder when 28 is divided by a.
8
Let w(g) = g + 6. Suppose 622