
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
Let \(\log 2 = a\), \(\log 3 = b\), \(\log 5 = c\).

1. Express \(\log 6\) in terms of \(a, b\) and \(c\).
2. Evaluate \(3.5a + 3.5c\).
3. Express \(\frac{\log 30}{\log 15}\) in terms of \(a, b\) and \(c\).
4. Express \((\log 15)^2 - \log 15\) in terms of \(a, b\) and \(c\).

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