07.txt
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07
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solve(x^6-9*x^5+10*x^4+18*x^3+49*x^2+135*x+84 == 0, x )
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solve(x^3-5*x^2+8*x-40 == 0,x)
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find_root(cos(x)==x, 0, pi/2)
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integral(x*sin(x),x)
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integral(e^(1/x^2),x,-2,4)
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diff(sqrt(x^2*sin(x)+2),x)
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diff((x*e^(cos(x)))^3,x)
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x,y=var('x,y')
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f=x^2+sin(x*y)-y
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f.diff(y)
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x=var('x')
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u=function('u')(x)
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rr=diff(u,x,2)-x*diff(u,x)+u
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desolve(rr,[u,x],contrib_ode=True)
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A=matrix([[1,-4, 7],[14, 6, 8],[-4, -1, 2]])
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B=matrix([[2, 3, 9],[-1, 17, 6],[ 0, 5, -7]])
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A*B
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det(A)
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B^-1
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