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coeff-hipow

f:7*x[1]^3*x[2]^2+x[1...

coeff(coeff(f,x[1],3)...

hipow(f,x[2]);

Calculate

coeff-expand-factor-resultant

f:x^4+a*x+b ;

g:x^3+p*x^2+(q-l*y)*x...

h: expand(resultant(f...

Calculate

coeff-expand-factor-resultant

f:x^4+4*a*x+b ;

g:y^3+x*y^2+u*x*y+a+v*x;

h:expand(resultant(f,...

Calculate

coeff-determinant-expand-matrix

a : matrix( [ a11-m, ...

coeff(expand(determin...

Calculate

coeff-expand-solve-subst

eq: A*x^2+B*x*y+C*y^2...

eq: expand(subst([x=x...

l: [coeff(coeff(eq,x1...

Calculate

coeff

Run Example
(%i1)1;
(%o1)                                  1
(%i2) 1;
(%o2)                                  1
(%i3) 1;
(%o3)                                  1
(%i4) 1;
(%o4)                                  1
(%i5) 1;
(%o5)                                  1
(%i6) 1;
(%o6)                                  1
(%i7) 1;
(%o7)                                  1
(%i8) 1;
(%o8)                                  1
(%i9) 1;
(%o9)                                  1
(%i10) 1;
(%o10)                                 1
(%i11) 1;
(%o11)                                 1
(%i12) 1;
(%o12)                                 1
(%i13) 1;
(%o13)                                 1
(%i14) 1;
(%o14)                                 1
(%i15) 1;
(%o15)                                 1
(%i16) 1;
(%o16)                                 1
(%i17) 1;
(%o17)                                 1
(%i18) 1;
(%o18)                                 1
(%i19) A:u^4+p*u+q;
                                  4
(%o19)                           u  + p u + q
(%i20) B:a*u^2+b*u*v+c*u+d*v+e;
                                          2
(%o20)                   b u v + d v + a u  + c u + e
(%i21) C:factor(resultant(A,B,u));
        4    4    3      4    4  4        2      3      3      3    3      3
(%o21) b  q v  - b  d p v  + d  v  - 4 a b  d q v  + 4 b  c q v  - b  e p v
          2    3      2        3      3    3        2      2      2  2    2
 + 3 a b d  p v  - 3 b  c d p v  + 4 d  e v  - 4 a b  e q v  + 2 a  d  q v
                2      2  2    2                2      2        2
 - 8 a b c d q v  + 6 b  c  q v  + 6 a b d e p v  - 3 b  c e p v
          2    2        2      2      2  2  2    3              2
 + 3 a c d  p v  - 3 b c  d p v  + 6 d  e  v  - a  b p q v + 4 a  d e q v
                        2              3        3    2            2
 - 8 a b c e q v - 4 a c  d q v + 4 b c  q v + a  d p  v + 3 a b e  p v
                        2          3              3      4  2    3
 + 6 a c d e p v - 3 b c  e p v - c  d p v + 4 d e  v + a  q  - a  c p q
      2  2          2        4      3    2          2      3        4
 + 2 a  e  q - 4 a c  e q + c  q + a  e p  + 3 a c e  p - c  e p + e
(%i22) D1:factor(coeff(C,v));
           3            2                            2            3      3    2
(%o22) - (a  b p q - 4 a  d e q + 8 a b c e q + 4 a c  d q - 4 b c  q - a  d p
                              2                        2        3            3
                     - 3 a b e  p - 6 a c d e p + 3 b c  e p + c  d p - 4 d e )
(%i23) D2:factor(coeff(C,v,2));
               2          2  2                      2  2
(%o23) - (4 a b  e q - 2 a  d  q + 8 a b c d q - 6 b  c  q - 6 a b d e p
                                   2                2          2          2  2
                              + 3 b  c e p - 3 a c d  p + 3 b c  d p - 6 d  e )
(%i24) D3:factor(coeff(C,v,3));
               2          3        3              2        2            3
(%o24) - (4 a b  d q - 4 b  c q + b  e p - 3 a b d  p + 3 b  c d p - 4 d  e)
(%i25) D4:coeff(C,v,4);
                               4      3        4
(%o25)                        b  q - b  d p + d
(%i26) D5:coeff(C,v,5);
(%o26)                                 0
(%i27) 
Run Example
M: 1/((1-(a+b+c+d+e+f+g))*(1-a)*(1-b)*(1-c)*(1-d)*(1-e)*(1-f)*(1-g));
(%o1) 1/((1 - a) (1 - b) (1 - c) (1 - d) (1 - e) (1 - f) (1 - g)
                                           (- g - f - e - d - c - b - a + 1))
(%i2) I: a+b+c+d+e*a*(a+b+c+d+e+f+g*(a+b+c*(a+b+c+d*(a+b+c+d+e+f*(a+b*(a+b+c+d))))));
(%o2) a e ((c (d ((b (d + c + b + a) + a) f + e + d + c + b + a) + c + b + a)
                            + b + a) g + f + e + d + c + b + a) + d + c + b + a
(%i3) coeff(a*c^2/b,a*c^2);
(%o3)                                  0
(%i4) 
Run Example
1;
(%o1)                                  1
(%i2) 1;
(%o2)                                  1
(%i3) 1;
(%o3)                                  1
(%i4) 1;
(%o4)                                  1
(%i5) 1;
(%o5)                                  1
(%i6) 1;
(%o6)                                  1
(%i7) 1;
(%o7)                                  1
(%i8) 1;
(%o8)                                  1
(%i9) 1;
(%o9)                                  1
(%i10) 1;
(%o10)                                 1
(%i11) 1;
(%o11)                                 1
(%i12) 1;
(%o12)                                 1
(%i13) 1;
(%o13)                                 1
(%i14) 1;
(%o14)                                 1
(%i15) 1;
(%o15)                                 1
(%i16) 1;
(%o16)                                 1
(%i17) 1;
(%o17)                                 1
(%i18) 1;
(%o18)                                 1
(%i19) 1;
(%o19)                                 1
(%i20) 1;
(%o20)                                 1
(%i21) 1;
(%o21)                                 1
(%i22) 1;
(%o22)                                 1
(%i23) 1;
(%o23)                                 1
(%i24) 1;
(%o24)                                 1
(%i25) 1;
(%o25)                                 1
(%i26) 1;
(%o26)                                 1
(%i27) 1;
(%o27)                                 1
(%i28) 1;
(%o28)                                 1
(%i29) 1;
(%o29)                                 1
(%i30) 1;
(%o30)                                 1
(%i31) A:u^4+4*p*u+3*q;
                                4
(%o31)                         u  + 4 p u + 3 q
(%i32) B:a*u*u+p*u*v+a*b*u+q*v;
                                           2
(%o32)                    p u v + q v + a u  + a b u
(%i33) C:expand(resultant(A,B,u));
        4  4    4    4      2  3  2       2      2  2      2  2  2    2
(%o33) q  v  - p  q v  + 6 a  q  v  - 12 a  b p q  v  + 6 a  b  p  q v
       3  2  2        3  2          3  3            4  2       4
 - 12 a  b  q  v + 4 a  p  q v + 8 a  b  p q v + 9 a  q  - 12 a  b p q
      4  4
 + 3 a  b  q
(%i34) D0:factor(coeff(C,v,0));
                              4                   4
(%o34)                     3 a  q (3 q - 4 b p + b )
(%i35) D1:factor(coeff(C,v));
                             3       2      2      3
(%o35)                  - 4 a  q (3 b  q - p  - 2 b  p)
(%i36) D2:factor(coeff(C,v,2));
                                  2            2
(%o36)                         6 a  q (q - b p)
(%i37) D3:factor(coeff(C,v,3));
(%o37)                                 0
(%i38) D4:factor(coeff(C,v,4));
                                      3    4
(%o38)                            q (q  - p )
(%i39) E:factor(resultant(expand(0/12/p),expand(D3/8),d));
(%o39)                                 1
(%i40)  F:solve(D2=0,z);
(%o40)                                []
(%i41) G:subst(d=q+sqrt(q^2+p^3),z);
(%o41)                                 z
(%i42) H:expand(G);
(%o42)                                 z
(%i43) J:ratsimp(H);
(%o43)                                 z
(%i44) K:factor(J);
(%o44)                                 z
(%i45) 
[append,coeff,ev,makelist,ratexpand,solve] [binomial,ceiling,coeff,expand,rat,sum] [charpoly,coeff,matrix,ratexpand] [coeff,cos,depends,diff,expand,factor,sin,solve,subst,trigsimp] [coeff,cos,display2d,do,false,makelist,print,ratsubst,sin,sqrt,sum,trigexpand] [coeff,denom,exp,expand,factor] [coeff,denom,expand,solve] [coeff,diff,expand,mat_trace,matrix,subst,trace,transpose] [coeff,eliminate,ev,expand,linsolve,sqrt] [coeff,ev,expand,linsolve,nterms,part,while] [coeff,expand,factor,linsolve,remainder,resultant,subst] [coeff,expand,factor,rat,remainder,resultant,subst] [coeff,expand,factor,rat,remainder,resultant] [coeff,expand,factor,rat,resultant,solve,subst] [coeff,expand,factor,rat,resultant,solve] [coeff,expand,factor,rat,resultant] [coeff,expand,factor,ratsimp,resultant,solve,sqrt,subst] [coeff,expand,factor,remainder,resultant,subst] [coeff,expand,factor,remainder,resultant] [coeff,expand,factor,resultant,subst] [coeff,expand,factor,resultant] [coeff,expand,factor] [coeff,expand,rat,remainder,resultant] [coeff,expand,rat,resultant,subst] [coeff,expand,rat,resultant] [coeff,expand,remainder,resultant] [coeff,expand,resultant,solve,subst] [coeff,expand,resultant,subst] [coeff,expand,resultant] [coeff,expand,subst] [coeff,expand,sum] [coeff,expand] [coeff,factor,false,isolate_wrt_times,load,sqrtdispflag,true] [coeff,factor,if,product,ratsimp,sum] [coeff,factor,rat,remainder,resultant,subst] [coeff,factor,rat,remainder,resultant] [coeff,factor,rat,resultant,subst] [coeff,factor,rat,resultant] [coeff,factor,remainder,resultant,subst] [coeff,factor,remainder,resultant] [coeff,factor,resultant] [coeff,factor] [coeff,makelist,taylor] [coeff,rat,remainder,resultant] [coeff,rat,resultant] [coeff,rat] [coeff,remainder,resultant] [coeff,resultant] [coeff,taylor] [coeff]

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