[/quote]
,
:o
so 
and since 
is just 
therefore 
so 
.
such that![\[
\sqrt{x - 2011} + \sqrt{2011 - x} + 10
\]](http://latex.artofproblemsolving.com/4/8/b/48b82d13b733947420a0d763c6af74636770835a.png)
is an integer.
be the number of positive integers that divide the integer 
.
of 
,
?
is a square of an integer.
,
be all positive integers smaller than 
such that 
for all 
is the largest positive integer that divides both 
and 
.
.
,
,
are odd primes and![\[2^ap^b=(p+2)^c-1.\]](http://latex.artofproblemsolving.com/5/8/5/58518a8ebed14836b72af743ff100eae2efba5e2.png)
be a triangle with 
let 
be the circumcircle of 
and let 
be its radius. Point 
is chosen on 
such taht 
and point 
is the foot of the perpendicular from 
.
mets 
.
is chosen on line 
such that 
and 
lie on a line in that order. Finally, let 
be a point satisfying 
and 
.
has two real roots, so that the one is the square of the other.
such that: ![\[ x = \sqrt{ x - \frac{1}{x} } + \sqrt{ 1 - \frac{1}{x} } \]](http://latex.artofproblemsolving.com/e/c/f/ecf7fb3c2805290f2cb07b7fdd7c73e1c7a55b99.png)
be a convex pentagon such that 
.
is the circumcenter of triangle 
.
be the circumcenter of triangle 
.
passes through the midpoint of segment 
.
.
and 
meet at a point belonging to the diameter 
and 
are the incenter and the 
-
be the midpoint of arc 
on the circumcircle, and 
.
intersects the circumcircle again at 
. For
on the circumcircle of triangle 
intersect 
. Prove
are concyclic.
Y by MathPerson12321, DhruvJha, Soupboy0, Andyluo, evt917, Eddie_tiger, aidan0626, pingpongmerrily, JackieWacky, rayquaza7, PhoenixMathClub, sm100, PikaPika999, Math-Learner99
Previous Years' "Hubs": (2022) (2023) (2024)
Now that it's April and we're allowed to discuss ...
* means that CDR is official in that state.
For those asking about the removal of the tiers, I'd like to quote Jason himself:
Help contribute by sharing your state's cutoffs!
Now that it's April and we're allowed to discuss ...
- CA: 43 (45 44 43 43 43 42 42 41 41 41)
- NJ: 43 (45 44 44 43 39 42 40 40 39 38) *
- NY: 42 (43 42 42 42 41 40)
- TX: 42 (43 43 43 42 42 40 40 38 38 38)
- MA: 41 (45 43 42 41)
- WA: 41 (41 45 42 41 41 41 41 41 41 40) *
- VA: 40 (41 40 40 40)
- FL: 39 (42 41 40 39 38 37 37)
- IN: 39 (41 40 40 39 36 35 35 35 34 34)
- NC: 39 (42 42 41 39)
- IL: 38 (41 40 39 38 38 38)
- OR: 38 (44 40? 38 38)
- PA: 38 (41 40 40 38 38 37 36 36 34 34) *
- MD: 37 (43 39 39 37 37 37)
- AZ: 36 (40? 39? 39 36)
- CT: 36 (44 38 38 36 35 35 34 34 34 33 33)
- MI: 36 (39 41 41 36 37 37 36 36 36 36) *
- MN: 36 (40 36 36 36 35 35 35 34)
- CO: 35 (41 37 37 35 35 35 ?? 31 31 30) *
- GA: 35 (38 37 36 35 34 34 34 34 34 33)
- OH: 35 (41 37 36 35)
- AR: 34 (46 45 35 34 33 31 31 31 29 29)
- NV: 34 (41 38 ?? 34)
- TN: 34 (38 ?? ?? 34)
- WI: 34 (40 37 37 34 35 30 28 29 29 29) *
- HI: 32 (35 34 32 32)
- NH: 31 (42 35 33 31 30)
- DE: 30 (34 33 32 30 30 29 28 27 26? 24)
- SC: 30 (33 33 31 30)
- IA: 29 (33 30 31 29 29 29 29 29 29 29 29 29) *
- NE: 28 (34 30 28 28 27 27 26 26 25 25)
- SD: 22 (30 29 24 22 22 22 21 21 20 20)
* means that CDR is official in that state.
For those asking about the removal of the tiers, I'd like to quote Jason himself:
peace09 wrote:
learn from my mistakes
Help contribute by sharing your state's cutoffs!
This post has been edited 73 times. Last edited by SirAppel, Apr 15, 2025, 7:30 PM
