
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 deck of cards contains only blue and yellow cards in an unknown ratio. Initially, the probability of drawing a blue card from the deck is $\frac{2}{5}$. If 6 yellow cards are added to the deck, the probability of drawing a blue card becomes $\frac{5}{14}$. Determine the original number of cards in the deck.
- **A)** 40
- **B)** 45
- **C)** 50
- **D)** 55
- **E)** 60

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