
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, the value of $a$ is ______, and the value of $b$ is ______.

| $x$         | Result  | Algebraic Expression |
|-------------|---------|-----------------------|
| $1$         | $b$     |                       |
| $x^{2}-2x$  | $-1$    | $24$                  |
| $4x^{2}+ax$ | $2$     | $72$                  |

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