
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
Given the odd function $f(x)$ defined on $\mathbb{R}$ as $f(x) = \begin{cases} (\frac{1}{2})^{x}-1, & x\leqslant 0 \\ g(x), & x > 0 \end{cases}$, find $f(1) = \_\_\_\_\_\_$ and the solution set for the inequality $f(f(x))\leqslant 7$ is \_\_\_\_\_\_.

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