
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 that $f(x)$ is an odd function defined on $(-1, 1)$.
(1) If $f(x)$ is monotonically decreasing on $(-1, 1)$, and $f(1-a) + f(1-2a) < 0$. Find the range of values for the real number $a$.
(2) When $0 < x < 1$, $f(x) = x^2 + x + 1$, find the analytical expression of $f(x)$ on $(-1, 1)$.

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