
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 $\mathbb{R}$, satisfying $f(x)=f(1-x)$ for any $t \in \mathbb{R}$, and when $x \in (0, \frac{1}{2}]$, $f(x)=2x^{2}$. Find the value of $f(3)+f(-\frac{5}{2})$.

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