Answer
Only origin.
Work Step by Step
Step 1. To test symmetry with respect to the x-axis, replace $y$ with $-y$, we have $-y=-4x^3+x$ or $y=4x^3-x$ which is the different from the original, thus it is not symmetric with respect to the x-axis.
Step 2. To test symmetry with respect to the y-axis, replace $x$ with $-x$, we have $y=-4(-x)^3+(-x)$ or $y=4x^3-x$ which is the different from the original, thus it is not symmetric with respect to the y-axis.
Step 3. To test symmetry with respect to the origin, replace $x,y$ with $-x,-y$, we have $-y=-4(-x)^3+(-x)$ or $y=-4x^3+x$ which is the same the original, thus it is symmetric with respect to the origin.