
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
Let $y=f(x)$ ($x \in \mathbb{R}$) be an odd function that satisfies $f(t) = f(1-t)$ for any $t \in \mathbb{R}$. Given that for $x \in \left[0, \frac{1}{2}\right]$, $f(x)=-x^2$, find the value of $f(3) + f\left(-\frac{3}{2}\right)$.

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