Questions asked by Ken C.

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• How do I factor this expression completely?
  
• The number #90^9# has #1900# different positive integral divisors. How many of these are squares of integers?
  
• How do you find three consecutive binomial coefficients in the relationship #1:2:3#?
  
• How do you find three consecutive binomial coefficients in the relationship #1:2:3#?
  
• What's the quickest way to determine the proper divisors of a number by hand?
  
• 20 workers completed 1/4 of a building in 8 days. Due to a dedication ceremony, it became necessary to complete the building in the next 5 days. How many workers were added to the original 20 to make this possible?
  
• The 20th term of an arithmetic series is #log20# and the 32nd term is #log32#. Exactly one term in the sequence is a rational number. What is the rational number?
  
• If #m^2+n^2=10p^2+10p+1#, where #m# and #n# are positive integers and #p# is a prime number, what is #m+n# in terms of #p#?
  
• A compound has the formula #PtCl_4*2KCl#...?
  
• Let #f(x)=x^2(x^2-1)(x^2-2)(x^2-3)...(x^2-n)# What is the value of #f'(1)#?
  
• How do you determine the concentrations of reagents in a galvanic cell when the cell "dies"?