
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 $a$ represent the acceleration of an object, where $V = at + V_0$ and $S = \frac{1}{3}at^3 + V_0t$. Find the expression for $t$ in terms of $a$, $V_0$, $V$, and $S$.

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