• Sin(45*Degree)
• Tan(1 + x)

• Expand((x+3)^3)
• Factor(-1+x^16)
• D(Sin(x^3), x)
• Integrate(Cos(x)^5, x)

Polynomial and Rational Functions

• Solve({x^2==4,x+y^2==6}, {x,y})

• Manipulate(Plot3D(Sin(a * x * y), {x, -1.5, 1.5}, {y, -1.5, 1.5}), {a,1,5})
• Plot(Piecewise({{x^2, x < 0}, {x, x >= 0&&x<1},{Cos(x-1), x >= 1}}), {x, -2, 12})

Graphs

• Graph({1,2,3},{1<->2,2<->3,3<->1},{EdgeWeight->{2.0,3.0,4.0}})
• FindSpanningTree(Graph({a,b,c,d,e,f},{a<->b,a<->d,b<->c,b<->d,b<->e,c<->e,c<->f,d<->e,e<->f}, {EdgeWeight->{1.0,3.0,6.0,5.0,1.0,5.0,2.0,1.0,4.0}}))
• HamiltonianGraphQ(Graph({1,2,3},{1<->2,2<->3,3<->1}))
• TreeForm(a+(b*q*s)^(2*y)+Sin(c)^(3-z))

• Inverse({{1,2},{3,4}})
• Det({{1,2},{3,4}})

• FactorInteger(2^15-5)