
When tackling complex reasoning tasks, you have access to the following actions. Use them as needed to progress through your thought process.

[ASSESS]

[ADVANCE]

[VERIFY]

[SIMPLIFY]

[SYNTHESIZE]

[PIVOT]

[OUTPUT]

You should strictly follow the format below:

[ACTION NAME]

# Your action step 1

# Your action step 2

# Your action step 3

...

Next action: [NEXT ACTION NAME]


system
There are integers $a, b,$ and $c,$ each greater than $1,$ such that
\[
\sqrt[a]{N\sqrt[b]{N\sqrt[c]{N}}} = \sqrt[24]{N^{15}}
\]
for all $N \neq 1$. What is $c$?
**A)** 2
**B)** 4
**C)** 6
**D)** 8
**E)** 10

Present the answer in LaTex format: \boxed{Your answer}
user