Stage: 2 and 3 
2002 started on a Tuesday.
In which years between now and 2015 will each date fall on the same day of the week as it fell that year?
Stage: 3
Let the number be x . Then x2=2x3 , that is x2(1−2x)=0 .
Sox=0 or x=12 .
However,x is positive, so the only solution is x=12 .
So
However,
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