Please capitalize where necessary: the variable a is a common factor.
A: The variable a is a common factor.

Please capitalize where necessary: las vegas casinos offer a specific slot machine.
A: Las vegas casinos offer a specific slot machine.

Please capitalize where necessary: if the program uses more than one disk the slave must redirect the disk accesses to the appropriate image file.
A: If the program uses more than one disk the Slave must redirect the disk accesses to the appropriate image file.

Please capitalize where necessary: information according to § 5 tmg
A:
Information according to § 5 TMG