
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 the function f(x) defined on $\mathbb{R}$ with a period of 3, and f(x) = 
\begin{cases}
4x^{2}-2, & -2\leq x\leq 0 \\
x, & 0<x<1
\end{cases}
on the interval $[-2, 1)$, evaluate f(5/2).

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