Question 98
Find all values of the positive integer $v$ for which there exist triads $(\alpha, \beta, \gamma)$ of positive integers satisfying the equation
$$
\alpha + \beta + \gamma = v\alpha\beta\gamma. \qquad (E)
$$
For these values find all solutions of the equation (E).
$$
\alpha + \beta + \gamma = v\alpha\beta\gamma. \qquad (E)
$$
For these values find all solutions of the equation (E).