  On page 206 in his lost notebook, Ramanujan recorded an incomplete septic
theta function identity. Motivated by the completion of this identity by the
second author, we offer cubic and quintic analogues. Using the theory generated
by these two analogues and Ramanujan's class invariants, we provide many
evaluations for Ramanujan's most prominent theta function, $\varphi(q)$ in his
notation.
