Solve in integers the equation $$x^2+xy+y^2 = \left(\frac{x+y}{3}+1\right)^3.$$
Quadrilateral $APBQ$ is inscribed in circle $\omega$ with $angle P = \angle Q = 90^{\circ}$ and $AP = AQ < BP$. Let $X$ be a variable point on segment $\overline{PQ}$. Line $AX$ meets $\omega$ again at $S$ (other than $A$). Point $T$ lies on arc $AQB$ of $\omega$ such that $\overline{XT}$ is perpendicular to $\overline{AX}$. Let $M$ denote the midpoint of chord $\overline{ST}$. As $X$ varies on segment $\overline{PQ}$, show that $M$ moves along a circle.
Consider $0<\lambda<1$, and let $A$ be a multiset of positive integers. Let $A_n={a\in A: a\leq n}$. Assume that for every $n\in\mathbb{N}$, the set $A_n$ contains at most $n\lambda$ numbers. Show that there are infinitely many $n\in \mathbb{N}$ for which the sum of the elements in $A_n$ is at most $\frac{n(n+1)}{2}\lambda$. (A multiset is a set-like collection of elements in which order is ignored, but repetition of elements is allowed and multiplicity of elements is significant. For example, multisets ${1, 2, 3}$ and ${2, 1, 3}$ are equivalent, but ${1, 1, 2, 3}$ and ${1, 2, 3}$ differ.)
Point $H$ is the orthocenter of triangle $ABC$. Points $D, E$ and $F$ lie on the circumcircle of triangle $ABC$ such that $AD\parallel BE\parallel CF$. Points $S, T,$ and $U$ are the respective reflections of $D, E, F$ across the
lines $BC, CA$ and $AB$. Prove that $S, T, U, H$ are cyclic.
Let $a, b, c$ be positive real numbers such that $a^2 + b^2 +c^2 +(a+b+c)^2 \le 4$. Prove that $$\frac{ab+1}{(a+b)^2}+\frac{bc+1}{(b+c)^2}+\frac{ca+1}{(c+a)^2}\ge 3$$
Let $x$ and $y$ be real numbers such that $$2 < \frac{x-y}{x+y} < 5$$ If $\frac{x}{y}$ is an integer, what is its value?
In how many different ways can 900 be expressed as the product of two (possibly equal) positive integers? Regard $m\cdot n$ and $n\cdot m$ as the same.
A binary palindrome is a positive integer whose standard base 2 (binary) representation is a palindrome (reads the same backward or forward). (Leading zeros are not permitted in the standard representation.) For example, 2015 is a binary palindrome, because in base 2 it is 11111011111. How many positive integers less than 2015 are binary palindromes?
What is the area of region bounded by the graphs of $y=|x+2| -|x-2|$ and $y=|x+1|-|x-3|$?
How many distinct positive integers can be expressed in the form $ABCD-DCBA$, where $ABCD$ and $DCBA$ are 4-digit positive integers? (Here $A, B, C$ and $D$ are digits, possible equal)
In the diagram below, how many different routes are there from point $M$ to point $P$ using only the ling segments shown? A route is not allowed to intersect itself, not even at a single point.
![](data:image/png;base64,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)
In baseball, a player's batting average is the number of hits divided by the number of at bats, rounded to three decimal places. Danielle's batting average is $0.399$. What is the fewest number of at bets that Danielle could have?
Let $n$ be a positive integer. In $n$-dimensional space, consider the $2^n$ points whose coordinates are all $\pm 1$. Imagine placing an $n$-dimensional ball of radius 1 center at each of the $2^n$ points. let $B_n$ be the largest $n$-dimensional ball centered at the origin that does not intersect the interior of any of the original $2^n$ balls. What is the smallest value of $n$ such that $B_n$ contains a point with a coordinate greater than 2?
Say that a rational number is special if its decimal expression is of the form $0.\overline{abcdef}$, where $a, b, c, d, e$ and $f$ are digits (possibly equal) that include each of the digits $2, 0, 1$, and $5$ at least once (in some order). How many special rational numbers are there?
Let $A=(2,0)$, $B=(0,2)$, $C=(-2,0)$, and $D=(0, -2)$. Compute the greatest possible value of the product $PA\cdot PB\cdot PC\cdot PD$, where $P$ is a point on the circle $x^2 + y^2=9$.
A $\textit{permutation}$ of a finite set is a one-to-one function from the set onto itself. A $\textit{cycle}$ in a permutation $P$ is a nonempty sequence of distinct items $x_1, \cdots, x_n$ such that $P(x_1)=x_2$, $P(x_2)=x_3$, $\cdots$, $P(x_n)=x_1$. Note that we allow the 1-cycle $x_1$ where $P(x_1)=x_1$ and the 2-cycle $x_1, x_2$ where $P(x_1)=x_2$ and $P(x_2)=x_1$. Every permutation of a finite site splits the set into a finite number of disjoint cycles. If this number equal to 2, then the permutation is called $\textit{bi-cyclic}$. Computer the number of bi-cyclic permutation of the 7-element set formed by letters "PROBLEMS".
Let $C$ be a three-dimensional cube with edge length 1. There are 8 equilateral triangles whose vertices are vertices of $C$. The 8 planes that contain these 8 equilateral triangles divide $C$ into several non-overlapping regions. Find the volume of the region that contains the center of $C$.
Let $z_1$, $z_2$, $z_3$, and $z_4$ be the four distinct complex solutions of the equation $$z^4-6z^2+8z+1=-4(z^3-z+2)i$$
Find the sum of the six pairwise distance between $z_1, z_2, z_3$ and $z_4$.
An ant begins at a vertex of a convex regular icosahedron (a figure with 20 triangular faces and 12 vertices). The ant moves along one edge at a time. Each time, the ant reaches a vertex, it randomly choose to next walk along any of the edges extending from that vertex (including the edge it just arrived from). Find the probability that after walking along exactly six (not necessarily distinct) edges, the ant finds itself at its starting vertex.
Let $S$ be the sum of all distinct real solutions of the equation $$\sqrt{x+2015}=x^2-2015$$
Compute $\lfloor 1/S \rfloor$.
Let $n$ be a positive integer. When the leftmost digit of (the standard base 10 representation of) $n$ is shifted to the rightmost position (the units position), the result is $n/3$. Find the smallest possible value of the sum of the digits of $n$.
Sabrina has a fair tetrahedral die whose faces are numbered 1, 2, 3, and 4, respectively. She creates a sequence by rolling the die and recording the number on its bottom face. However, she discards (without recording) any role such that appending its number to the sequence would result in two consecutive terms that sum to 5. Sabrina stops the moment that all four numbers appear in the sequence. Find the expected (average) number of terms in Sabrina's sequence.
In the diagram below, the circle with center $A$ is congruent to and tangent to the circle with center $B$. A third circle is tangent to the circle with center $A$ at point $C$ and passes through point $B$. Points $C, A$, and $B$ are collinear. The line segment $\overline{CDEFG}$ intersects the circles at the indicated points. Suppose that $DE=6$ and $FG=9$. Find $AG$.
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)
If $P(x)$ denotes a polynomial of degree $n$ such that $P(k) = k/(k +1)$ for $k = 0, 1, 2, \dots n$, determine $P(n + 1)$.
The product of two of the four zeros of the quartic equation $$x^4 - 18x^3 + kx^2 + 200x - 1984 = 0$$ is $-32$. Find $k$.