1.

) (x+y)/(x-1/2)-(x-z)/(x*y);
) (1+z)*(x+y/z)/(a-1/(1+x*x));
) x**(n*(m+2)) + x**(n**m);
) (a+b)**n/(1+a/(a**m-b**(m-n)));
) (a[i]**(2*l) + b[j+1]**(2*k)) * (3**n-x*x*y)/(z-(d[i,j+1]+1)/(z+
  y/sqrt(t*t+x*y*z)));
) sqrt(abs(sin(x)**2))/(3.01*x - exp(2*x));
) abs(cos(x**3) - sin(y)**2) / (abs(ln(x))**(1/4) + x*y);
) ln(y**(-sqrt(abs(x+1)))) * sin(arctg(z))**2;
) r[i,j]**abs(x-y) - 0.15*abs(sin(exp(-z**8)));
) a**((x+y)/2) - ((x-1)/(abs(y)+1))**(1/3)*exp(-(y+u/2)).

2. ) ;    ) ;    ) ;    ) ;    ) ;    ) ;    ) ;    ) ;    ) ;    ) ;    ) ;    ) ;    ) ;    ) ;    ) ;    ) ;    ) ;    ) ;    ) ;    ) .


3. ) 16;   ) 5,5;    ) -256;   ) 3;    ) -2;   ) 1.8.


4. ) : (a+b+c+d)/4; : (a*b*c*d)**(1/4);    ) sqrt(x*x+y*y);   ) sin(x*3.14/180);   ) 6*a*a;   ) sqrt(3)*a/2;    ) : (c1*b2-c2*b1)/(b1*a2-b2*a1); : (c2*a1-c1*a2)/(b1*a2-b2*a1).


5. ) ;   ) ;    ) ;    ) ;    ) ;


6.

) (x < a)  (x > b);
) ((x>=a)  (x<=b))  ((x>=c)  (x<=d));
) ((x < a)  (x > b))  ((x < c)  (x > d));
) mod(k,2)=1;
) (mod(k,5)=0)  (k > 99)  (k < 1000);
) (mod(i,2)=1)  (mod(j,2)=0);
) a1*b2=a2*b1;
) (c < a)  (b > a);
) (a=-b)  (a=-c)  (a=-d)  (b=-c)  (b=-d)  (c=-d);
) ((mod(a,2)=0)  (mod(b,2)=0))  ((mod(a,2)=0)  (mod(c,2)=0))
 ((mod(b,2)=0)  (mod(,2)=0));
) (a>0)  (b>0)  (c>0)  (a+b>c)  (a+c>b)  (b+c>a);
) ((a1*b2=a2*b1)  (a1*c2=a2*c1))  ((a1*c2=a2*b1)  (a1*b2=a2*c1))
 ((a1*c2=b2*b1)  (a1*a2=b2*c1))  ((a1*a2=b2*b1)  (a1*c2=b2*c1))
 ((a1*a2=c2*b1)  (a1*b2=c2*c1))  ((a1*b2=c2*b1)  (a1*a2=c2*c1));
) (y>5-5*x)  (y<5-x)  (y>0);
) (y<5-5*x))  (y>5-x)  (y<0);
) (a=b)  (c=d)  (b=c).

7. ) ) ) ) ) ) ) )


8.

) (y>=1-x)  ((y<=0)  (x<=0));
) (y<1)  (y>=x)  (y>=-x) ( : (y<1)  (y>=abs(x)));
) (abs(x)<=1)  (abs(y)<1);
) ((x-1)*(x-1)+y*y<=4)  (y<=3-x)  (y>=x-3);
) (abs(x)<=3)  (abs(y)<=3)  (x*x+y*y>=9)  ((x>=0)  (y<=0));
) (abs(x)+abs(y)<=2)  (sign(x)<>sign(y))  (x*x+y*y<=4)
    ((y>=2-x)  (y<=-x-2));
) ((y>=x*x)  (y<=-x*x))  ((x>=y*y)  (x<=-y*y));
) (((x+2)*(x+2)+y*y<=4)  ((x+2)*(x+2)+y*y>=1))  (x>=-1);
) (((y<=0)=(y>=-x))  ((x>=0)=(y>=x)))  (x*x+y*y<=1).

9. ) a=-19;   b=-114;   c=17;    ) a=3;   b=1,875;   c=15;    ) a=7;   b=3;   c=735;   ) a=10;    b=2;    c=120;    ) a=4;    b=7;    c=3;    ) a=16; b=100, c=11200.


10. ) c:=x[1];   x[1]:=x[2];   x[2]:=c;    ) a[i]:=(a[i-1]+a[i+1])/2;   a[i+1]:=0;   a[i-1]:=a[i-1]+0.5;    ) u:=max(max(x, y), z) + min(min(x-z,y+z), min(y,z)).


11.

)  x <= -100                        )  x*x+y*y <= 1
      y:=sign(x)*abs(x)**(1/7)                 z:=x*x+y*y
       x < 100                         y>=x
              y:=sign(x)*abs(x)**(1/3)               z:=x+y
              y:=sqrt(x)                          z:=0.5
                                                 
                                         

)  x < 0               ) 
           z:=lg(-x)            =0 : z:=1
      z:=sqrt(x+1)           =1 : z:=x
                               =2 : z:=3*x*x - 1/2
    z>=0                      =3 : z:=x*x*x - 3*x/2
           F:=2*z+1             z:=2*x**4 - 3*x/2
      F:=sin(z)           
   

)  abs(x)+abs(y) < r            )  x>1
         z:=sqrt(x*x+y*y)                 y>1
      z:=max(abs(x), abs(y))               v:=x+y
                                             v:=x-y
                                             
)  (x-a)**2 +(y-b)**2 < r*r            y>0
              z:=abs(x)+abs(y)                   v:=y-x
         z:=x+y                               v:=-x-y
                                             
                                        

12. ) ) ) )


13. ) 81;   ) 21;    ) 11;    ) 44.


14. ) 0;   ) 13;    ) 52;   ) 14.


15.

)  1(  a,b,UgolC,   c, UgolA, UgolB, S)
    
         a, b, UgolC
        c:=sqrt(a*a+b*b-2*a*b*cos(UgolC))
        UgolA:=arcsin(a*sin(UgolC)/c)
        UgolB:=arcsin(b*sin(UgolC)/c)
        S:=b*c*sin(UgolA)/2
         c, UgolA, UgolB, S
    

)  2(  a,b,c,   Radius,UgolA)
      p
         a,b,c
        p:=(a+b+c)/2
        UgolA:=2*arctg(sqrt((p-b)*(p-c)/(p*(p-a))))*180/3.14
        Radius:=a*b*c/(4*sqrt(p*(p-a)*(p-b)*(p-c)))
         Radius, UgolA
    

)     (  a,UgolAGrad,   V, S)
     H,SBase,UgolARad
          |  H -  ; SBase -  
         a,UgolAGrad
        UgolARad:=UgolAGrad*3.14/180
        SBase:=a*a*sqrt(3)/4
        H:=a*sqrt(3)/6*tg(UgolARad)
        V:=SBase*H/3
        S:=SBase*(1+1/cos(UgolARad))
         V, S
   

)     (  RBig,RSmall,Ugol,   V, S)
     H,L
         RBig,RSmall,Ugol
        H:=(RBig-RSmall)*tg(Ugol)
        L:=(RBig-RadSmall)/cos(Ugol)
        V:=1/3*3.14*H*(RSmall**2 + RBig**2 + RSmall*RBig)
        S:=3.14*L*(RBig+RSmall)
         V, S
   

)    (  a,UgolA,   V, S, Stion)
     H
         a,UgolA
        H:=a*sqrt(2)/2*tg(UgolA)
        V:=1/3*a*a*H
        Stion:=a*H*sqrt(2)/2
        S:=a*a*(1+sqrt(2*tg(UgolA)**2+1))
         V, S, Stion
   

16.

)   (  a,b,c,   k)
         | k -      a,b,c
    
         a,b,c;   k:=0
         a>0
           k:=k+1
        
         b>0
           k:=k+1
        
         c>0
           k:=k+1
        
         k
    

)  (   a,b)
         |  a,b  
    
         a,b
         a>b
           b:=b*2
           a:=a*2
        
         a,b
    

)    (  a,b,c,d,   Otvet)
         | a,b  c,d -   
         | Otvet=,   
    
         a,b,c,d
         (a*d=*b)  (a*c=d*b)
              Otvet:=
           Otvet:=
        
         Otvet
    

)  (  xA,yA,xB,yB,xC,yC,   Otvet)
     DistA,DistB,DistC
      xA,yA,xB,yB,xC,yC
     DistA:=sqrt(xA**2 + yA**2)
     DistB:=sqrt(xB**2 + yB**2)
     DistC:=sqrt(xC**2 + yC**2)
      (DistA < DistB)  (DistA < DistC)
        Otvet:="  "
         DistB < DistC
                   Otvet:="  B"
                Otvet:="  C"
             
     
      Otvet
   

)   (  x,y,r1,r2,   Otvet)
      | r2>r1
      | Otvet=,   (x,y)  
          | c   r1    r2
    
       x,y,r1,r2
       (x*x+y*y<=r2*r2)  (x*x+y*y>=r1*r1)
            Otvet:=
         Otvet:=
      
       Otvet
    

)    (   a, b, c)
        |   a, b, c   
      t
       a, b, c
       a>b
         t:=a;  a:=b;  b:=t   |     a  b
      
       a>c
         t:=a;  a:=c;  c:=t   |     a  c
      
       b>c
         t:=b;  b:=c;  c:=t   |     b  c
      
       a, b, c
    

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