
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 $a>0$ and $b>0$ have operations $\nabla$ and $\triangle$ defined as follows:
$$a \nabla b = \frac{a + b}{1 + ab}$$
$$a \triangle b = \frac{a - b}{1 - ab}$$
For example, 
$$3 \nabla 6 = \frac{3 + 6}{1 + 3 \times 6} = \frac{9}{19}$$
$$3 \triangle 6 = \frac{3 - 6}{1 - 3 \times 6} = \frac{-3}{-17} = \frac{3}{17}$$
Calculate $((2 \nabla 3) \triangle 4) \nabla 1$.

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