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KNOWNS:

Diverging (convex) mirror
Radius of curvature = 60 cm
(f = 30 cm)
M = 1/5
Hi = 20 cm

UNKNOWNS:
Ho?
Di?
Do?

EQUATIONS:
1/Do + 1/Di = 1/f

M = Hi/Ho = -Di/Do

3 answers

I got:

Ho=100 cm
Di=-24 cm
Do=120 cm

I rearranged -Di/Do=1/5 to get -5Di=Do.
Then I substituted -5Di in for Do in 1/Do + 1/Di = 1/30 to solve for Di. Is that right?
(I'm not sure about the negative sign)
I doubt if it is right because you should be using -30 for the focal length, since it is a convex mirror.