
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 $y=f(x)$ be an odd function defined on $\mathbb{R}$ that satisfies $f(t)=f(1-t)$ for any $t\in\mathbb{R}$. Additionally, when $x\in[0, \frac{1}{2}]$, $f(x)=-x^{2}$. Determine the value of $f(3)+f(-\frac{3}{2})$.

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