Lincoln Hills
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Almost every instance of a reroll in the rules is followed by the boilerplate statement, "The character must accept the results of the reroll even if it is worse than the original roll." It's pretty rare to have two effects that both allow rerolls, and thanks to that boilerplate I'm not sure you'd get a second reroll anyway - you 'must' accept the results of the first reroll.
I'm not sure how the rules will interact when you're under a "bad reroll" effect (pugwampi aura, etc.) and also a "good reroll" (bit of luck, etc.)
maouse
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Mythic characters can usually make 2 die re-rolls with some abilities/skills and take the highest one... but if BOTH are lower than the original, guess what? They are stuck with one of the two re-rolls! RAW there is nothing limiting the number of re-rolls EXCEPT that you have to have abilities that allow them in the first place. Do they stack? RAW, yes. If you have one ability that allows a re-roll of say STEALTH, and a MYTHIC ability that allows a re-roll of STEALTH with two dice, then yeh, you can re-roll the first one (say you got a 1) and if don't like that (say you repeated the 1), re-roll again using the other ability (this re-roll with 2 dice, odds of rolling 4 1's is 160,000:1). Nothing that I can see that stops you from using multiple abilities in this fashion. Heck, in theory, one of the "re-rolls" could even be a "take 10" instead of a roll, right?