I can solve basic equations for a variable without setting the LHS
equal to a value:

reset()
var('a b c')
f(a,b,c) = a+b+c
solve(f,a)
    a == -b - c

But slightly more complex equations don't seem to work unless I solve
for f==something:

reset()
var('a b c')
f(a,b,c) = a*b*c
solve(f,a)
    a == 0

How can I get the analytical solution

    a = f/(b*c)

I've tried defining my equation differently so it is a variable not a
function:

reset()
var('f a b c')
f = a*b*c
solve(f,a)

None of these seem to work.

I can add an 'x' to the var list and then this works a bit:
solve(f==x,a)
    a == x/(b*c)

And now I can remember to swap x for f, but this seems like a hack. I
tried using 'f' instead of 'x'

solve(f==f,a)

but just get the strange solution

    a == r1

I'm new to Sage so I hope there is something obvious I'm missing.

Thanks,

   -k.

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