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- Find the largest integer that divides all terms of the sequence ${a_n}$, where $a_n = n^5 −n, n ≥ 1$.
- Find the largest integer value of $n$ such that $1\times 3 \times 5 \times 7\times · · ·\times 31 \times 33 \times 35$ is divisible by $3^n$
- Let $0 <x<1$. Which of the following has the largest value?
- If $x^3 ‐ x = n$ and $x$ is a positive integer greater than $1$, is $n$ divisible by $8$?
- The first 24 terms of an arithmetic series are: $35+42+49+...+196$. Calculate the sum of ALL natural numbers from 35 to 196 that are not divisible by 7

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