3

Part of 1986 Iran MO (2nd round)

Problems(2)

Smallest positive integer - [Iran Second Round 1986]

Source:

Find the smallest positive integer for which when we move the last right digit of the number to the left, the remaining number be

\frac 32

times of the original number.

number theory proposednumber theory

The arctangent function - [Iran Second Round 1986]

Source:

\arctan \frac 12 +\arctan \frac 13 = \frac{\pi}{4}.

functionalgebra proposedalgebra