MathDB

6

Part of 2007 Stanford Mathematics Tournament

Problems(3)

SMT 2007 Team #6

Source:

6/30/2012
x≡(∑k=12007k)mod  2016x\equiv\left(\sum_{k=1}^{2007}k\right)\mod{2016}, where 0≤x≤20150\le x\le 2015. Solve for xx.
Winning Probability

Source:

3/15/2010
Team Stanford has a 13 \frac{1}{3} chance of winning any given math contest. If Stanford competes in 4 contests this quarter, what is the probability that the team will win at least once?
probabilityStanfordcollege
SMT 2007 Algebra #6

Source:

6/27/2012
What is the largest prime factor of 49+944^9+9^4?