Actually, I am starting to doubt the earth is 6000 years old.

The scientific evidence we have now, that we didn't have before, tells us it is impossible for elements to turn into life without some Higher Power
There are much speculation and research upon this, and they have not declared it impossible at all.

Science doesn't know what life is and can't explain how life arose from the chaos of an explosion that sterilized the entire cosmos a trillion times over. "Natural selection" is no help. It can neither create life nor assist the first living thing to start functioning.
Quite on the contrary, science knows quite a deal of what life is. Although difficult to define, one can list the properties in a satisfying way. Science cannot explain how life arose _yet_. Just because it cannot be explained at the time (and there is a lot of research on this) does not imply it's impossibility.

The first living cell would have had to come about by pure chance.
It is you that is saying this, not scientists. Just because they don't have an explanation at this time, doesn't make it impossible. There are research upon this. Just because we didn't know bacterias spread diseases, didn't mean that bacterias didn't exist.

and there is no arguing with mathematics.
Yes, I do argue with mathematics, I just don't argue _against_ it :).

There are approximately 1080 atoms in the cosmos. Assuming 10^12 interatomic interactions per second per atom, and 10^18 seconds (30 billion years) as twice the evolutionists' age of the universe, we get 10^110 (80 +12+18) as the total number of possible interatomic interactions in 30 billion years.

If each interatomic interaction produced a unique molecule, then no more than 10^110 unique molecules could have ever existed in the universe. About 1,000 protein molecules composed of amino acids are needed for the most primitive form of life. To find a proper sequence of 200 amino acids for a relatively short protein molecule has been calculated to require "about 10^130 trials. This is a hundred billion billion times the total number of molecules ever to exist in the history of the cosmos! No random process could ever result in even one such protein structure, much less the full set of roughly 1000 needed in the simplest form of life.
Again, there is no reason for that the existence of these molecules are based purely on chance events. No scientist are asserting this, and in the research field of abiogenesis they are trying to find which process made the molecules necessary for organic life. And i'd like to know where you have got the the information of your assumptions from.

"It is therefore sheer irrationality...to believe that random chemical interactions could ever [form] a viable set of functional proteins out of the truly staggering number of candidate possibilities. In the face of such stunningly unfavourable odds, how could any scientist with any sense of honesty appeal to chance interactions as the explanation for the complexity we see in living systems? To do so with conscious awareness of these numbers, in my opinion, represents a serious breach of scientific integrity" (John R. Baumgardener, Theoretical Division of Los Alamos National Laboratory. See In Six Days, pp. 224-25).
True, given that chance events would be the only possible way of them coming into existence.

Look at a car. It is unreasonable to think that the components and composition of components of this car is purely based upon chance events. This is analogous to John R. Baumgardener's argument, except that we _know_, how the car is built. If we didn't we could apply his argument, and thus conclude that god made the car. I find this ridiculous.

Remember, the simplest physical structure upon which natural selection might operate must happen by chance.
Again, this is not necessary true. On the contrary, it is very unlikely to be true.

When anyone says that an eye, for example, couldn't happen by chance, Dawkins responds in an offended tone, "Well, of course an eye couldn't happen by chance! Natural selection is the very opposite of chance!" But Dawkins doesn't mention that natural selection is impossible without some living thing that can replicate itself.
Of course natural selection is impossible if no living thing can replicate itself. But this doesn't contradict the fact that the eye is a product of natural selection. I don't see the point of that argument.