6th British Mathematical Olympiad 1970 Problems

6th British Mathematical Olympiad 1970 Problems 1.  (1) Find 1/log2a + 1/log3a + ... + 1/logna as a quotient of two logs to base 2. (2) Find the sum of the coefficients of (1 + x - x2)3(1 - 3x + x2)2 and the sum of the coefficients of its derivative.