Strong gas odor near drivers side rear tire, no leaks no codes

Justin, The gas leak is probably a rusted out fuel line, the location you pointed out is one of the first places fuel lines deteriorate and leak. Check the attached links,instruction and guides, Good luck
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Put the car in the on a lift. and look for the leak.

Very possible. The code for the fuel cap is probably one of the codes for a pressure leak in the gas tank vent system.
If it was not smelling before the brake repair, I would take it back to the shop that did the work.

that where the tank vent comes out replace the evap solenoid

OK, P0442 is an evaporative leak fault. The gas cap may well have corrected that issue. If you smell gas from the engine area you almost certainly have a fuel leak. You should be very careful - you don't want your car to catch fire and put people's lives in danger. When a car catches fire it goes up very quickly, and if it's near your home....

Look by the fuel injectors and fuel rail for signs of a leak. If you don't see anything there have a professional technician look at it.

No service engine light? A loose gas cap will set a light.
You may want to inspect your fuel filler neck and anything close. For a long while its not uncommon for a person to report the fuel odor issue and have it be where some low life cut a filler neck or puntured a tank to steal fuel. But if that were the case there would usually be a service engine or gas cap light as the systems now days monitor pressures so they can detect leaks in the Evap system.

When you mention a smell though under the hood, do you think the smell could be exhaust? I have seen those manifolds crack. or maybe just a leak from a gasket or exhaust donut.

Probably a fuel line leak. inspect for drips with engine running. gas evaporates quickly so will often not leave a puddle.

TPMS Sensor Matching Procedure

Each TPMS sensor has a unique identification code. Any time you rotate your vehicle's tires or replace one or more of the TPMS sensors, the identification codes will need to be matched to the new tire/wheel position. The sensors are matched to the tire/wheel positions in the following order: driver side front tire, passenger side front tire, passenger side rear tire, and driver side rear tire using a TPMS diagnostic tool. See your dealer/retailer for service.

The TPMS sensors can also be matched to each tire/wheel position by increasing or decreasing the tire's air pressure. If increasing the tire's air pressure, do not exceed the maximum inflation pressure indicated on the tire's sidewall.

To decrease air-pressure out of a tire you can use the pointed end of the valve cap, a pencil-style air pressure gage, or a key.

You have two minutes to match the first tire/wheel position, and five minutes overall to match all four tire/wheel positions. If it takes longer than two minutes, to match the first tire and wheel, or more than five minutes to match all four tire and wheel positions the matching process stops and you need to start over.

The TPMS sensor matching process is outlined below:

1. Set the parking brake.
2. Turn the ignition switch to ON/RUN with the engine off.
3. Press the Remote Keyless Entry (RKE) transmitter's LOCK and UNLOCK buttons at the same time for approximately five seconds. The horn sounds twice to signal the receiver is in relearn mode and TIRE LEARNING ACTIVE message displays on the DIC screen.
4. Start with the driver side front tire.
5. Remove the valve cap from the valve cap stem. Activate the TPMS sensor by increasing or decreasing the tire's air pressure for five seconds, or until a horn chirp sounds. The horn chirp, which may take up to 30 seconds to sound, confirms that the sensor identification code has been matched to this tire and wheel position.
6. Proceed to the passenger side front tire, and repeat the procedure in Step 5.
7. Proceed to the passenger side rear tire, and repeat the procedure in Step 5.
8. Proceed to the driver side rear tire, and repeat the procedure in Step 5. The horn sounds two times to indicate the sensor identification code has been matched to the driver side rear tire, and the TPMS sensor matching process is no longer active. The TIRE LEARNING ACTIVE message on the DIC display screen goes off.
9. Turn the ignition switch to LOCK/OFF.
10. Set all four tires to the recommended air pressure level as indicated on the Tire and Loading Information label.
11. Put the valve caps back on the valve stems.

I had an old chevy truck that was carbureted with a mechanical fuel pump. I drove for months with the same fuel smell. It ended up being a small hole in the pump itself, on the side of the engine. It evaporated too quickly from the hot engine temperature to catch. hope maybe that might help if you have a mechanical pump.

Look under the car to see if you have any gasoline on the ground. If the odor is that strong, I would not recommend driving the car until you find the leak. Try to locate the area of the car were the smell is strongest, rear of the car, center or front under hood.
Carefully check all fuel lines with a flashlight and feel for any wet spots.
Good luck,
Let me know.