
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
G9.1 Find \( A \) from the sequence: \( 0,3,8, A, 24,35, \ldots \)

G9.2 The roots of the equation \( x^{2}-Ax+B=0 \) are 7 and \( C \). Find \( B \) and \( C \).

G9.3 If \( \log _{7} B=\log _{7} C+7^{X} \); find \( X \).

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