>> syms eu gu uj uc e g j c u
>> q1=sym('e/u=eu');
>> q2=sym('g/u=gu');
>> q3=sym('u/j=uj');
>> q4=sym('u/c=uc');
>> q5=sym('e*g*j*c*u=1');
>> s=solve(q1,q2,q3,q4,q5,e,g,j,c,u)

s = 

    c: [5x1 sym]
    e: [5x1 sym]
    g: [5x1 sym]
     j: [5x1 sym]
    u: [5x1 sym]

>> s.e
 
ans =
 
                                                         1/gu*(uj*eu^4*uc*gu^4)^(1/5)
  (1/4*5^(1/2)-1/4+1/4*sqrt(-1)*2^(1/2)*(5+5^(1/2))^(1/2))/gu*(uj*eu^4*uc*gu^4)^(1/5)
 (-1/4*5^(1/2)-1/4+1/4*sqrt(-1)*2^(1/2)*(5-5^(1/2))^(1/2))/gu*(uj*eu^4*uc*gu^4)^(1/5)
 (-1/4*5^(1/2)-1/4-1/4*sqrt(-1)*2^(1/2)*(5-5^(1/2))^(1/2))/gu*(uj*eu^4*uc*gu^4)^(1/5)
  (1/4*5^(1/2)-1/4-1/4*sqrt(-1)*2^(1/2)*(5+5^(1/2))^(1/2))/gu*(uj*eu^4*uc*gu^4)^(1/5)
 
 
>> s.g
 
ans =
 
                                                         1/eu*(uj*eu^4*uc*gu^4)^(1/5)
  (1/4*5^(1/2)-1/4+1/4*sqrt(-1)*2^(1/2)*(5+5^(1/2))^(1/2))/eu*(uj*eu^4*uc*gu^4)^(1/5)
 (-1/4*5^(1/2)-1/4+1/4*sqrt(-1)*2^(1/2)*(5-5^(1/2))^(1/2))/eu*(uj*eu^4*uc*gu^4)^(1/5)
 (-1/4*5^(1/2)-1/4-1/4*sqrt(-1)*2^(1/2)*(5-5^(1/2))^(1/2))/eu*(uj*eu^4*uc*gu^4)^(1/5)
  (1/4*5^(1/2)-1/4-1/4*sqrt(-1)*2^(1/2)*(5+5^(1/2))^(1/2))/eu*(uj*eu^4*uc*gu^4)^(1/5)
 
 
>> s.j
 
ans =
 
                                                         1/eu/gu*(uj*eu^4*uc*gu^4)^(1/5)/uj
  (1/4*5^(1/2)-1/4+1/4*sqrt(-1)*2^(1/2)*(5+5^(1/2))^(1/2))/eu/gu*(uj*eu^4*uc*gu^4)^(1/5)/uj
 (-1/4*5^(1/2)-1/4+1/4*sqrt(-1)*2^(1/2)*(5-5^(1/2))^(1/2))/eu/gu*(uj*eu^4*uc*gu^4)^(1/5)/uj
 (-1/4*5^(1/2)-1/4-1/4*sqrt(-1)*2^(1/2)*(5-5^(1/2))^(1/2))/eu/gu*(uj*eu^4*uc*gu^4)^(1/5)/uj
  (1/4*5^(1/2)-1/4-1/4*sqrt(-1)*2^(1/2)*(5+5^(1/2))^(1/2))/eu/gu*(uj*eu^4*uc*gu^4)^(1/5)/uj
 
 
>> s.u
 
ans =
 
                                                         1/eu/gu*(uj*eu^4*uc*gu^4)^(1/5)
  (1/4*5^(1/2)-1/4+1/4*sqrt(-1)*2^(1/2)*(5+5^(1/2))^(1/2))/eu/gu*(uj*eu^4*uc*gu^4)^(1/5)
 (-1/4*5^(1/2)-1/4+1/4*sqrt(-1)*2^(1/2)*(5-5^(1/2))^(1/2))/eu/gu*(uj*eu^4*uc*gu^4)^(1/5)
 (-1/4*5^(1/2)-1/4-1/4*sqrt(-1)*2^(1/2)*(5-5^(1/2))^(1/2))/eu/gu*(uj*eu^4*uc*gu^4)^(1/5)
  (1/4*5^(1/2)-1/4-1/4*sqrt(-1)*2^(1/2)*(5+5^(1/2))^(1/2))/eu/gu*(uj*eu^4*uc*gu^4)^(1/5)
 
 
>>