
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's relax with a game of "24": The rules of the game are to take any four natural numbers between 1 and 10 and use them each exactly once to perform arithmetic operations (addition, subtraction, multiplication, and division) to make the result equal to 24. For example, for the numbers 1, 2, 3, 4, an equation could be: $(1+2+3) \times 4$. Now consider two sets of numbers: (1) 3, 2, 6, 7; (2) 3, 4, -6, 10. Please write an equation for each set so that the result equals to 24.

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