To solve the equation \( 15 \times 34 - 31 = -6 \), we first perform the multiplication:
\[ 15 \times 34 = 510 \]
Now substitute this back into the equation:
\[ 510 - 31 = -6 \]
Next, we calculate \( 510 - 31 \):
\[ 510 - 31 = 479 \]
This results in:
\[ 479 \neq -6 \]
Since this does not hold true, there seems to be a misunderstanding in the original equation. Let's check the options given, as none directly correspond to a simple solution from the mathematical operations performed.
The equation does not seem to match or simplify correctly to give any of the provided answers. It appears the question may have intended to ask for some operation on \( 15 \times 34 - 31 \), or perhaps it was mistakenly copied.
Thus, based solely on the information provided, none of the options \( (625, 125, 5, 25) \) are correct answers to the original equation as it has been presented. If there is a specific value or context intended behind the equation, please clarify for accurate assistance.