We have an aftermarket car alarm installed, but have lost the remote. Our battery died and when we jumped it, the alarm reactivated itself and now we can't turn it off! We cannot start the vehicle unless we can deactivate the alarm. Is there a way to simply deactivate the alarm without having to trace and cut wires?

It sounds like there may be an issue with the factory car alarm system on your 1996 Toyota Camry that is preventing the car from starting. If the alarm system is preventing the starter from getting power, it is likely that the alarm system will need to be repaired or replaced in order for the car to start.
If the Toyota dealership does not have the parts or knowledge to repair the old alarm system, it may be difficult to find someone who can fix it. One option you could try is contacting a specialist who works on older car alarms and see if they have any experience with the alarm system in your Toyota Camry. Another option is to try finding a used factory car alarm from a wrecker or online that is compatible with your car and installing it to see if that resolves the issue.
If you are unable to repair or replace the factory car alarm, you may need to consider installing a new aftermarket car alarm system. An aftermarket car alarm can be purchased from an automotive parts store or online, and a mechanic or an experienced car enthusiast should be able to install it for you.

Put new batteries into the fob.
Switch the ignition on and off several times.

Then leave the ignition switched on for 5 minutes.

The fob may well reprogram itself

Its possible the remote code was changed after install which required a learn and the learn was erased when battery power was lost.

If this is an add-on aftermarket alarm system, the best hope is that somewhere under the dashboard or near the left kickpanel by the floor you see/find a small button mounted there. This is usually the most common install for the override switch by most alarm installers. Turning the key to the ON position then pressing the button and holding for 2-5 seconds will shut the alarm down in most cases if it has such a button.
If it does not have a button, or this is a factory alarm system, its possible the alarm control module fuse has blown or the module itself is stuck or failed, or the receiver for the remote is not seeing the remote. Recheck the connections at the battery, if its an add-on alarm there may have been a constant power loop attatched to the cable that is required to power the receiver/module and was accidentally left off. checking all fuses may also yield a blown fuse that feeds the alarm system controls.

Aftermarket Alarms are the WORST... GM are among them too... Did you cross the Wires when you jumped started it? Did you put both Cables on the Battery or did you Ground the Car with one of them and the Positive on the Battery?
If you jump started it wrong, you could have caused a problem with your ECU (Engine Control Unit), PCM (Powertrain Control Module), or BCM (Body Control Module) which if this is a Dodge, it probably the problem.

If this is a After Market System, have it Professionally Removed.

Do you have an aftermarket alarm or stereo installed in the car? Often times incorrectly wired aftermarket electronics will have too high a residual current draw and will prematurely drain a battery. Unfortunately, sometimes correctly wired in aftermarket electronics will also do this.

Also, if you simply don't drive the car much and only take short trips when you do drive it will prematurely drain a battery. Actually, it's not so much that it prematurely drains the battery, but rather the battery doesn't have enough time to recharge itself after the starting load.

If the car is stock and is regularly driven, then it is likely a wiring issue somewhere or an interior light is being left on. Some cars have lights in the engine bay that are supposed to shut on when you pop the hood. In short, any sort of residual draw on the electrical system can, over time, kill a battery prematurely.

Also, if you live in a cold climate this will also effect the starting power of the battery. CCA on a battery means Cold Cranking Amps. The more CCA a battery has the more starting power it has when cold. If you don't drive the car much a deep cycle battery MAY potentially also help.

I have not a car but my father has a car and i knew that m father went to the car and was stayed yto there until alarm was stoped crying

If you hook up the jumper cables can you disable the alarm with the remote?

HI ! I haven' t researched your car for you just yet !

I thought Id quickly mention the common method for reprogramming your alarm & remote, If you still require assistance then just ask me and I will find more about your car :)

Common Methods for resetting/re-learning code

• Factory Fitted Alarms/ Central Locking / remote comes on ignition key.

Insert ignition key , turn key to accessories / red , press & hold lock/unlock for a few secs.remove key,exit vehicle and try un/lock doors &/or alarm (Some models differ slightly & require engine on or manual use of door locks whilst resetting.

• Aftermarket /Non-Factory / remote is separately operated

Most use a small back-up battery usually located within the loudspeaker/Alarm unit itself under the bonnet,
Remove this battery for a short period to reset the remote code

The access panel for the backup battery is never in an obvious place. look carefully :)