
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
If $V = g(t-a) + V_0$ and $S = \frac{1}{2}g(t-a)^2 + V_0(t-a) + S_0$, find $t$ given $V, V_0, S, S_0$, and $a$.
**A)** $a + \frac{V + V_0}{g}$  
**B)** $a + \frac{V - V_0}{g}$  
**C)** $\frac{V}{g} - a$  
**D)** $\frac{V_0 + V}{2g} + a$

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