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Rules Reference, page 15 wrote:
Some abilities cause values or quantities of characteristics to be modified. The game state constantly checks and (if necessary) updates the count of any variable value or quantity that is being modified. Any time a new modifier is applied (or removed), the entire quantity is recalculated from the start, considering the unmodified base value and all active modifiers.
When calculating a value, treat all modifiers as being applied simultaneously. However, while performing the calculation, all additive and subtractive modifiers are calculated before doubling and/or halving modifiers.
Fractional values are rounded up after all modifiers have been applied.
A quantity on a card (such as a stat, an icon, a number of instances of a trait or keyword) cannot be reduced so that it functions with a value below zero. Negative modifiers in excess of a value’s current quantity can be applied, but, after all active modifiers have been applied, any resultant value below zero is treated as zero.
(For example: Danny tests agility and reveals a –8 chaos token. When applied to his agility of 4, this would reduce his skill value to –4. However, his agility cannot be reduced so that it functions with a value below zero. While the –8 modifier still exists, his agility is treated as zero. If Danny were to play “Lucky!” to receive a +2 bonus to the test, this bonus would not be applied to the functioning skill value of zero; but rather, it is applied in conjunction with all active modifiers. Danny’s agility would then be calculated as follows: base skill 4, –8 from chaos token, +2 from “Lucky!” for a total of –2, which is still treated as zero.)
It reduces it to 0. That being said, the lowest your Intellect with modifier can go is 0, so unless you draw the Tentacle token, you succeed if the target number is 0.