Web Reference: Jul 17, 2019 · I understand that changing the divisor multiplies the result by that, but why doesn't changing the numerator cancel that out? I found out somewhere else since posting, is there a way to delete this? I would like to find all the expressions that can be created using nothing but arithmetic operators, exactly eight $8$'s, and parentheses. Here are the seven solutions I've found (on the Internet)... Jan 1, 2018 · Further, $991$ and $997$ are below $1000$ so shouldn't have been removed either. This gives $224+2+2=228$ numbers relatively prime to $210$, so $1000-228=772$ numbers are divisible by $2$, $3$, $5$, or $7$.
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