
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
Consider the function defined by
\[
f(x) = \left\{
\begin{aligned} 
x+3 & \quad \text{if } x < 5 \\
x^2 & \quad \text{if } x \ge 5 
\end{aligned} 
\right.
\]
has an inverse \( f^{-1} \). Find the value of \( f^{-1}(-2) + f^{-1}(-1) + \dots + f^{-1}(24) + f^{-1}(25) \).

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