If f (x) = px⁷ + qx³ + rx - 4 and f (-7) = 3 then the value of  f (7) is...

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For a natural number N, by its length we mean the number of factors in the representation of N as a product of prime numbers. For example, the length of the number 90 (when N=90) is because 90 = 2x3x3x5. How many odd numbers less than 100 have length 3?

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A function f is difined for non - negative integers n and k as follows

f (0,n) = n+1 , f (k,0) = f (k-1,1) , f (k+1,n+1) = f (k,f (k+1,n))

Evaluate f (2,2)

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If the average of 100 different positive integers is 100, what is the maximum value possible for the largest of these 100 integers?
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