
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
Find the least value of the function $g(x) = ax^2 + bx + c + d\sin (x)$, where $a > 0$, and $d > 0$ is a constant.
**A)** $\frac{-b^2 + 4ad}{4a}$  
**B)** $\frac{-b^2}{4a} + c + d$  
**C)** $\frac{-b^2}{4a} + c - d$  
**D)** $\frac{-b^2 + 4ac}{4a}$  
**E)** None of these.

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