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There are always some problems that I take forever on because I don't know any tricks for them. If you do know any tricks for the following problems, please teach them to me. I would great appreciate it.

1) (1+2-3x4^5)/6 has a remainder of:

I also need help with any kind of remainder problem. I know the divisibility rules for 3s, 4s, 5s, 9s, and 2s, but nothing else, and I still add and multiply everything out in the longer remainder problems.

2) 151 x 115=
There are always several 3 digit by 3 digit problems on the tests, and some of the time, I can't figure out a way to make the problem easier.

3) The sum of the first twelve terms of the Fibonacci sequence 1,2,3,58,13,21... is

Is there a formula for the sum of the Fibonacci sequence?

Thanks for all your help.

[unparseable or potentially dangerous latex formula] is so much better than 144 and 232

or since it is almost a fibbi


notice fibbi: 1,1,2,3,5
his sequence: 1,2,3,5

then it is [unparseable or potentially dangerous latex formula] since you dont have the first 1

so [unparseable or potentially dangerous latex formula]

so it is 608 :)

note: sum of the first n fibbi numbers is
[unparseable or potentially dangerous latex formula]