
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
\(\{a_{n}\}\) is an arithmetic sequence with \(a_{1} = 1\) and common difference \(d\). \(\{b_{n}\}\) is a geometric sequence with common ratio \(q\). The first three terms of the sequence \(\{a_{n} + b_{n}\}\) are 3, 12, 23. Find \(d + q\).

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