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\(\text{What is the largest value of $n$ less than 100,000 for which the expression $8(n-2)^5-n^2+14n-24$ is a multiple of 5? }\)

 Jul 31, 2019
 #1
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a=1;c=(8 *(a - 2)^5 - a^2 + 14*a - 24) ; if(a%5==0, goto3, goto4);printa; a++;if(a<100000, goto1, 0)

 

The largest n =99,995

 Jul 31, 2019
 #2
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Sorry, that is the wrong answer.

 Jul 31, 2019
 #3
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Sorry, I copied 99,995 instead of n =99,997

 Jul 31, 2019

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