Oldsmoblie intrigue where is the starter relay at

Have you checked fuel relay ? Have you checked to see if you got power going to the starter ? If yes, try jumping starter to see if it turns over. If it does, then you may have a bad relay or damaged wiring. If you have power at the starter and after you bypass it, and it does not do anything, you may have a bad starter.

Most starter relays are part of the starter motor assembly.
Also known as the solenoid.
(This way it serves 3 purposes.
1. The Relay section uses solid copper Contacts for Less volt drop at the high current that a starter motor draws.
2. The Solenoid section is the Mechanical Plunger that engages the cog to flywheel.
3. The Motor spins because the copper contacts are a super connection supplying 100+ Amps)

Does the battery go direct to the Starter Mptor?
Is there a small wire next to where the Battery connects?
If so then this is the relay activation wire (12v to pull relay in)

Happy Starting

External Relay Basics
Same but bigger for Starter Motors
RELAY BASICS

Starter Solenoid - A Gutsy Relay
Testing and replacing pre engaged starter motor solenoid
How To Test Car Starter With Screwdriver And Jumper Cables

in the under hood fuse box

aso check to see if there is any air in the collant system as this can make it over heat doesent always go away its self

Open the console lid an remove the screws at the front of the console and pull the console plate up to release the clips and slide up over shifter. Pull rearward to release the clips that retain the instrument panel accessory trim plate to the instrument panel.

Check your manual if you have it. I believe you need to have the key in the ignition in the ON position for about 10 minutes to reset the security system.

Free wiring diagrams here http://www.bbbind.com/free_tsb.html
Enter vehicle info. Year , make , model and engine size . Under system click on engine then under subsystem click on starting . Click the search button then the blue link.

Ok, the large one is your battery cable. The smaller ones are the circuit to energize the solenoid (and subsequently the relay to spin the starter). The smaller ones ultimately lead to the ignition switch, and ground, respectively.

battery good starter good but the car wont ignite the starter with the ignition key

you may have a dead s- wire you can test the s-wire with a lite tester