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Solve x4−1=3
 Input :solve(x^4-1=3)
 Output in real mode :[sqrt(2),-(sqrt(2))] Output in complex mode :[sqrt(2),-(sqrt(2)),(i)*sqrt(2),-((i)*sqrt(2))] 
- Solve exp(x)=2
 Input :solve(exp(x)=2) Output in real mode :[log(2)] 
- Find x,y such that x+y=1,x−y=0
 Input :solve([x+y=1,x-y],[x,y]) Output :[[1/2,1/2]]  
- Find x,y such that x2+y=2,x+y2=2
 Input :solve([x^2+y=2,x+y^2=2],[x,y])
 Output :[[-2,-2],[1,1],[(-sqrt(5)+1)/2,(1+sqrt(5))/2], [(sqrt(5)+1)/2,(1-sqrt(5))/2]]  
- Find x,y,z such that x2−y2=0,x2−z2=0
 Input :solve([x^2-y^2=0,x^2-z^2=0],[x,y,z])
 Output :[[x,x,x],[x,-x,-x],[x,-x,x],[x,x,-x]] 
- Solve cos(2*x)=1/2
 Input :solve(cos(2*x)=1/2) Output :[pi/6,(-pi)/6] Output with All_trig_sol checked :[(6*pi*n_0+pi)/6,(6*pi*n_0-pi)/6] 
- Find the intersection of a straight line 
(given by a list of equations) and a plane.
 For example,
let D be the straight line of cartesian equations 
[y−z=0,z−x=0] and let P the plane of equation x−1+y+z=0.
Find the intersection of D and P.
 Input :solve([[y-z=0,z-x=0],x-1+y+z=0],[x,y,z]) Output :[[1/3,1/3,1/3]]