
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
Based on the data in the table on the right, write down the value of $a$ as ______ and the value of $b$ as ______.

| $x$   | Algebraic Expression | $2$ | $n$ |
|-------|-----------------------|-----|-----|
| $2x+1$| $5$                   | $b$ |     |
| $x^{2}+2x$ | $a$               |     | $-1$|

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