Solve a_{m}=a_{1}a_{2}a_{3}a_{4}a_{5},text{Ifll}m=c

$$a _ { m } = a _ { 1 } a _ { 2 } a _ { 3 } a _ { 4 } a _ { 5 } , \text { Ifll } m = c$$

Solve for a_m, a_1, a_2, a_3, a_4, a_5, m, c (complex solution)

$$a_{m}=a_{1}a_{2}a_{3}a_{4}a_{5}$$

$$a_{1}\in \mathrm{C}$$

$$a_{2}\in \mathrm{C}$$

$$a_{3}\in \mathrm{C}$$

$$a_{4}\in \mathrm{C}$$

$$a_{5}\in \mathrm{C}$$

$$m=c$$

$$c\in \mathrm{C}$$

Solve for a_m, a_1, a_2, a_3, a_4, a_5, m, c

$$a_{m}=a_{1}a_{2}a_{3}a_{4}a_{5}$$

$$a_{1}\in \mathrm{R}$$

$$a_{2}\in \mathrm{R}$$

$$a_{3}\in \mathrm{R}$$

$$a_{4}\in \mathrm{R}$$

$$a_{5}\in \mathrm{R}$$

$$m=c$$

$$c\in \mathrm{R}$$