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Questions Tagged with "contest math" (Page 3)

Explore solved questions tagged with "contest math" or help others by answering their unsolved questions related to "contest math".

Find the roots of all cubics $f(x)$ given $f(2)=1$ and all roots are integral

1 answer

Mathematics Asked 3 years ago by jc5535

1991 IMO shortlist problem $#11$

2 answer

Mathematics Asked 3 years ago by Mathematical Curiosity

Inequality involving medians

2 answer

Mathematics Asked 3 years ago by Daniel Kawai

Find all pairs of integers $(x, y)$ such that $x^3+y^3=(x+y)^2.$

1 answer

Mathematics Asked 3 years ago

Proof of cyclicity using power of a point

1 answer

Mathematics Asked 3 years ago by David Dong

Given $x, y in mathbb{R}^+$ and $ x^3 + y^3 = x-y$. Prove $x^2 + 4y^2 < 1$

1 answer

Mathematics Asked 4 years ago by user9026

$3^{123} mod 100$

4 answer

Mathematics Asked 4 years ago by global05

2010 USAMO #5:Prove that if $frac{1}{p}-2S_q = frac{m}{n}$ for integers $m$ and $n$, then $m - n$ is divisible by $p$.

2 answer

Mathematics Asked 4 years ago by Shubhangi

Sequence of integers $S_n$ where all elements that $n$ divides increment by one

1 answer

Mathematics Asked 4 years ago by twentyyears

P-NP for decision problems

1 answer

Mathematics Asked 3 years ago by rasul_rza24

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