[/quote]
,
by 
,
for every positive integer 
.
leave distinct remainders when divided by 
.
of distinct positive integers such that there exists a positive integer 
for which the number of divisors of 
and of 
are equal.
such that ![\[f(2x+y) + f(x+f(2y)) = f(x)f(y) - xy\]](http://latex.artofproblemsolving.com/0/6/2/0623b7c328af6d088cfc5dd288afe3e17a94ff29.png)
for all reals 
and 
.
and 
be two sequences of integers such that 
and 
for all 
.
divides 
for an infinity of integers 
such that 
for all 
are coprime. Consider the sequence 
given by 
.
such that 
is even and 
is an integer. Prove that the numerator in its simplest form of 
is an odd integer greater than 
be an integer and let 
be 
.
such that the n subsets 
are also disjoint.
s
.
satisfies 
.
,
.
such that for all irrational numbers 
and 
,
where 
with side length of 
.
is selected on the diagonal 
such that 
.
as 
.
.
as 
respectively, compute the area of 
given the area of 
.
.
lies inside the rectangle such that 
is equilateral. Given that 
and the midpoint of 
are on the same line, compute the length of 
.
Y by Mango247, Mango247, Mango247
A rectangular sheet has been folded so that the upper left vertex coincides with the midpoint of the bottom side (see drawing). Find the lengths of the sides if triangles 
and 
in the drawing are congruent and the area of the rectangle corresponding to the sheet is equal to 
cm
.
and 
in the drawing are congruent and the area of the rectangle corresponding to the sheet is equal to 
cm
.This post has been edited 2 times. Last edited by parmenides51, Mar 25, 2021, 7:19 AM
Reason: grammar typo
Reason: grammar typo
