[/quote]
,
Prove that
Where 
and 
Prove that
and 
be different points on a circle 
such that 
is not a diameter. Let 
be the tangent line to 
is such that 
.
is chosen on the shorter arc 
of triangle 
intersects 
be the common point of 
meets 
.
is tangent to 
satisfying
Prove
be a right angled triangle with 
.
is the midpoint of side 
And 
be an arbitrary point on 
.
over 
intersects lines 
and 
,
and 
.
lies on 
.
be a trapezoid with parallel sides 
.
and 
lie on the line segments 
and 
,
.
and 
on the line segment 
satisfying ![\[\angle{APB} = \angle{BCD}\qquad\text{and}\qquad \angle{CQD} = \angle{ABC}.\]](http://latex.artofproblemsolving.com/b/1/a/b1ae208955104081bafe221832509d9dd20eeb83.png)
Prove that the points 
and 
are concyclic.
be a positive integer. A board with a format 
is divided in 
(or 
)
positive integers 
such that 
for any 
,
such that 
?
![$A \in \mathbb Q[x]$](http://latex.artofproblemsolving.com/d/1/5/d158f344cf30f8beb5f2199da53272bd8e304704.png)
with ![$\exists Q \in \mathbb Q[x], Q(A(x))= x^{2025!+2}+x^2+x+1$](http://latex.artofproblemsolving.com/1/1/9/119a7b617e09ba16bb266b44ab3c85acc529f88f.png)
and 
.
.
,
is the smallest number different from 
which doesn't divide 
.
Y by levibailey
Hello,
I have just started the AoPS Calculus course, and when submitting an answer for challenge problems, I am unable to see a preview of my answer, so there is no way to check if my latex is correct. In past classes I have been able to do this. Is this a new feature or something specific to the class, or is there something else I have to do to see the preview?
Thanks
C-123Math
I have just started the AoPS Calculus course, and when submitting an answer for challenge problems, I am unable to see a preview of my answer, so there is no way to check if my latex is correct. In past classes I have been able to do this. Is this a new feature or something specific to the class, or is there something else I have to do to see the preview?
Thanks
C-123Math
