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

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