Just using Ohm’s law along with basic properties of op amps:
With 3.3 V on R2, the + input is at 3.3*(180/(300+180)) = 1.2375 V. Same at the - input.
Then the current through R1 is (V1-1.2375)/100k which equals the current through R3, (1.2375-Vo)/33k. So (V1-1.2375)*33k = (1.2375-Vo)*100k or Vo = -V1*33k/100k + 1.2375*(1+33k/100k) or:
Vo = -.33*V1 + 1.646.
With V1 = 5 this is -0.004 V. Really 0 V because that’s the limit due to the 3.3 V, 0 V power.
With V1 = -5 this is 3.296 V.
In between the output is linear in the input.
If you’re seeing otherwise there’s either a mistake in the circuit build or a bad op amp.