
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 $x < a < b < 0$, what can be concluded about $x^2, ax, a^2, bx,$ and $b^2$?
**A)** $x^2 > ax > bx$ and $x^2 > a^2 > b^2$
**B)** $x^2 < ax < bx$ and $x^2 < a^2 < b^2$
**C)** $ax < bx < x^2 < a^2 < b^2$
**D)** $bx < ax < x^2 < b^2 < a^2$

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