1006 olds cutlass supreme won't crank

The headlights are powered by the battery through the ignition switch via a fuse. Check the relay and the fuse; the problem will be in one of those two.

No noise from starter, not even a click? If the battery is charged up good, and your battery cables are tight and clean, and the starter cable connection is tight, you can check for power on the starter solenoid purple wire when key is held in crank. If you have power there, it may be the starter or the solenoid that is bad. Pull off the starter for testing.
If no power on the purple wire with key in starting position, then something is out between the ignition switch and the starter solenoid. Could be the starter relay in the power distribution box, or the neutral safety switch at the transaxle, or the ignition switch itself Be methodical, go step by step to find the problem. A digital multi-meter is a necessary tool for electrical troubleshooting. But you can also just use a testlight when checking for power on a wire.

DID YOU GAP PLUGS CORRECTLY? CHECK TO MAKE SURE SPARK PLUG WIRES ARE IN RIGHT FIRING ORDER QUESTION DOES ENGINE TURN OVER LIKE IT WANTS TO START???? CHECK ALL FUSES SOME HAVE STARTER RELAY FUSES ALSO MAKE SURE TRANSMISSION IS FIRMLY IS PARK MAY HAVE A STARTER SAFETY RELAY CAR WONT START UNLESS PARK IS ACHIEVED.....GOOD LUCK

So it's a no crank condition? Do dash lights, gauges, and everything else work when the car won't crank over? If so, buy a cheap $5.00 testlight, and when the car won't crank, pull the small black wire off the starter solenoid. While someone holds the key in start (cranking) position and clutch pedal depressed, see if the black wire has power as it should. (Ground the testlight and just touch the wire's end terminal. If powered, the testlight will light up.) If power there, then the starter solenoid is failing. Toyota starters are very good units, but the solenoid's internal contacts get old and pitted.
If no power at the black wire, then the start circuit from ignition switch to clutch safety switch (on the clutch pedal) to starter relay to starter solenoid will have to be diagnosed. To double-check: take a single battery jumper cable and put it on the positive battery post connection. Put the other end of the jumper cable on the solenoid terminal where black wire was removed. Key can be off. Make sure car is in neutral, brake set. If starter now operates, solenoid is O.K., and it is a problem in the start circuit, -ignition switch, neutral start switch, or in the wiring.
Now find a grounding place for testlight under the dash. When car won't crank, check for power coming out of ignition switch on the black wire with white stripe. This is the start wire for the starter solenoid. Key must be in crank position. Wire shoud be powered-ignition switch is working. If no power, switch is failing. You can do the same for the clutch start switch-it's a simple switch, that when clutch is depressed switch is closed and passes power on from ignition switch to the starter relay (thus allowing power to the starter solenoid). Black wire, red stripe-this is wire from clutch switch to starter relay. When key is in crank, clutch depressed, this wire should be hot.
With me so far? Still haven't found a problem, or any loose connections? Next and last is the starter relay. It is located under dash, close to gas pedal, but under the center console, just forward and left of gear shifter. It can be tested and the wiring diagnosed there, but relays are cheap, so just swap in another and see if that helps.
If you have tried everything, and still no help, you could try a new wire from the relay to the starter solenoid. This is that black wire we started with. Older toyotas sometimes have a problem with degraded wiring not passing enough current to operate the starter

I am having the same problem with my 1994 Olds Cutlass. The connection between the ignition and the starter is malfunctioning, and the car will not start. One moment is was fine, the next it won't start. Were you able to resolve the problem on your Cutlass?

Check your battery connections. Take them off the battery and clean the posts and inside the + and - cables. If that does not help, the battery may be bad.

locate purple wire on starter, find good ground on frame, check for power when as a friend tries to start. be small wire (purple or gray) on starter. if no power when key turned to start, its not getting ignition signal from relay or switch. try that.

Did you check the starter relay and make sure that all the connections to the starter are correct?

Does it crank at all or is there nothing when you turn the key? If the resistor chips in the key(s) are bad, they shut down the fuel system for 3 minutes and it won't crank. I've had this happen and the problem was solved when I got new keys.

You can jump across the celonoid on the starter. If the engine turns over then your problem is either the celonoid or the starter switch.