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expand (d^2y)/((dx)^2)(x^2+y^2=1)	expand\:\frac{d^{2}y}{(dx)^{2}}(x^{2}+y^{2}=1)
expand dCa(1-x)	expand\:dCa(1-x)
simplify 2/5-2/7 0.76+1/2 (0.76+1/3)	simplify\:\frac{2}{5}-\frac{2}{7}0.76+\frac{1}{2}(0.76+\frac{1}{3})
expand ((2m+1)(2m+5))/(2(2m+3)(m+1))	expand\:\frac{(2m+1)(2m+5)}{2(2m+3)(m+1)}
simplify (x+iy)^3+(x+iy)^2	simplify\:(x+iy)^{3}+(x+iy)^{2}
expand (sin(x)+2cos(x))^2	expand\:(\sin(x)+2\cos(x))^{2}
expand ((-x+5)(x+1))/2	expand\:\frac{(-x+5)(x+1)}{2}
simplify (z-6i)^2	simplify\:(z-6i)^{2}
expand ((x-6)^4)/(81)	expand\:\frac{(x-6)^{4}}{81}
expand 6(-1)^5-24(-1)^3+18(-1)	expand\:6(-1)^{5}-24(-1)^{3}+18(-1)
expand (2(-24s-6s^2+12))/(s(-s^2-3s+6))	expand\:\frac{2(-24s-6s^{2}+12)}{s(-s^{2}-3s+6)}
expand (9α^2(sin(α))^2+4)/(α(sin(α)))	expand\:\frac{9α^{2}(\sin(α))^{2}+4}{α(\sin(α))}
expand (a+bi)(a-bi)	expand\:(a+bi)(a-bi)
expand 4000(x-8)e^{-x/4-1}	expand\:4000(x-8)e^{-\frac{x}{4}-1}
expand 2(Sln(S)-Sln(n+S)+nln(n)-nln(n+S))	expand\:2(S\cdot\:\ln(S)-S\cdot\:\ln(n+S)+n\cdot\:\ln(n)-n\cdot\:\ln(n+S))
expand (x^2)/((x-1)(x+2)^2)	expand\:\frac{x^{2}}{(x-1)(x+2)^{2}}
simplify 1/2 (1.1-1)+1/2	simplify\:\frac{1}{2}(1.1-1)+\frac{1}{2}
expand (3(3x-5))/(x+6)	expand\:\frac{3(3x-5)}{x+6}
expand (e^{-6s})/(s(s+5)(s-2))+3/((s+5)(s-2))	expand\:\frac{e^{-6s}}{s(s+5)(s-2)}+\frac{3}{(s+5)(s-2)}
expand ((6-x)^3)/(27)	expand\:\frac{(6-x)^{3}}{27}
expand (x+3)^2(3/(x+3)+4/((x+3)^2)=1)	expand\:(x+3)^{2}(\frac{3}{x+3}+\frac{4}{(x+3)^{2}}=1)
expand (x^2-7)e^x	expand\:(x^{2}-7)e^{x}
simplify (x+2/3)(x-1/3)	simplify\:(x+\frac{2}{3})(x-\frac{1}{3})
expand 7m^{3nx^3mn^2}	expand\:7m^{3nx^{3}mn^{2}}
simplify (x-3)(x+4+i)(x-4-i)	simplify\:(x-3)(x+4+i)(x-4-i)
simplify (sqrt(3)-2sqrt(3)x)^2	simplify\:(\sqrt{3}-2\sqrt{3}x)^{2}
expand 1/(x(x^2+1+2x))	expand\:\frac{1}{x(x^{2}+1+2x)}
simplify (x-16+7sqrt(2))(x-16-7sqrt(2))	simplify\:(x-16+7\sqrt{2})(x-16-7\sqrt{2})
expand cos(t)U(t-pi/2)	expand\:\cos(t)U(t-\frac{π}{2})
expand ((x-1)/2)^x(ln((x-1)/2)+x/(x-1))	expand\:(\frac{x-1}{2})^{x}(\ln(\frac{x-1}{2})+\frac{x}{x-1})
expand (1-e^{-2x})/(x(x^2+2x+2))	expand\:\frac{1-e^{-2x}}{x(x^{2}+2x+2)}
simplify (sqrt(1+x^2))(sqrt(1+x^2)+x)	simplify\:(\sqrt{1+x^{2}})(\sqrt{1+x^{2}}+x)
expand 1/((3-x)^{-4)}	expand\:\frac{1}{(3-x)^{-4}}
simplify (-1-isqrt(3))^{10}	simplify\:(-1-i\sqrt{3})^{10}
simplify (x+iy)^8	simplify\:(x+iy)^{8}
simplify (x+iy)^7	simplify\:(x+iy)^{7}
expand 1/((1-e^{-pis))(s^2+1)}	expand\:\frac{1}{(1-e^{-πs})(s^{2}+1)}
expand (1+xy)e^{xy}	expand\:(1+xy)e^{xy}
expand (x-5/4)^2	expand\:(x-\frac{5}{4})^{2}
expand-(12)/(s(s^2-3s-10))	expand\:-\frac{12}{s(s^{2}-3s-10)}
expand (y-2)ln(y-2)	expand\:(y-2)\ln(y-2)
expand (1-e^{-4s})/(s(s^2+2s+2))	expand\:\frac{1-e^{-4s}}{s(s^{2}+2s+2)}
expand (1,4)y(2,-4)	expand\:(1,4)y(2,-4)
expand (11(x-5))/3	expand\:\frac{11(x-5)}{3}
expand log_{3}(\sqrt[5]{(x^4y)/9})	expand\:\log_{3}(\sqrt[5]{\frac{x^{4}y}{9}})
expand 3/(4(x+8))	expand\:\frac{3}{4(x+8)}
expand cos^3(y)(2xsin(y)-cos^3(y))	expand\:\cos^{3}(y)(2x\sin(y)-\cos^{3}(y))
simplify (-2sqrt(5h+9)+6)sqrt(5h+9)	simplify\:(-2\sqrt{5h+9}+6)\sqrt{5h+9}
expand (2sqrt(5)-sqrt(3))^2	expand\:(2\sqrt{5}-\sqrt{3})^{2}
expand A(-1,3)B(2,0)C(1,-1)	expand\:A(-1,3)B(2,0)C(1,-1)
expand (x+xy^2)dx+x^2ydy	expand\:(x+xy^{2})dx+x^{2}ydy
expand (x-25)(sqrt(x)-5)	expand\:(x-25)(\sqrt{x}-5)
simplify 1/((iw+1)^4)	simplify\:\frac{1}{(iw+1)^{4}}
expand (4+9)dy-sqrt(9-4y^2=0)	expand\:(4+9)dy-\sqrt{9-4y^{2}=0}
simplify 2(33^{1/3}+36^{1/3})	simplify\:2(3\cdot\:3^{\frac{1}{3}}+3\cdot\:6^{\frac{1}{3}})
expand (pie^{-s}+pi)/((s^2+pi^2)(s^2+4))	expand\:\frac{πe^{-s}+π}{(s^{2}+π^{2})(s^{2}+4)}
simplify-4(sqrt(5)-3)	simplify\:-4(\sqrt{5}-3)
expand 1/((x+1)ln(x+1))	expand\:\frac{1}{(x+1)\ln(x+1)}
expand (-3s^2+9s+18)/((s^2-4)(s-3)(s+1))	expand\:\frac{-3s^{2}+9s+18}{(s^{2}-4)(s-3)(s+1)}
simplify (4x+1/3)(4x-1/3)	simplify\:(4x+\frac{1}{3})(4x-\frac{1}{3})
expand+P(-1,8)yQ(5,-6)	expand\:+P(-1,8)yQ(5,-6)
expand 2y(1-2x^2)e^{-x^2-y^2}	expand\:2y(1-2x^{2})e^{-x^{2}-y^{2}}
expand (8)(4)(-4)(-8)(-12)(-16)	expand\:(8)(4)(-4)(-8)(-12)(-16)
expand 2/((4n-3)(4n+1))	expand\:\frac{2}{(4n-3)(4n+1)}
expand e^x(x^2+5x+6)	expand\:e^{x}(x^{2}+5x+6)
simplify 2(x-1/3)(x-1/5)	simplify\:2(x-\frac{1}{3})(x-\frac{1}{5})
(d^2)/(dx^2)((y)(x^2+2y^2))	\frac{d^{2}}{dx^{2}}((y)(x^{2}+2y^{2}))
expand e^{5t}(2t^2-3t+t^5)	expand\:e^{5t}(2t^{2}-3t+t^{5})
expand cotan(2/11+24/7)	expand\:co\tan(\frac{2}{11}+\frac{24}{7})
expand (f(x)(x^2+2x-1))/(x+3)	expand\:\frac{f(x)(x^{2}+2x-1)}{x+3}
simplify (z-1)*(z-4/5)	simplify\:(z-1)\cdot\:(z-\frac{4}{5})
expand 11(8e+3f)	expand\:11(8e+3f)
expand-(sqrt(5)(12sqrt(22)-11sqrt(3)))/(66)	expand\:-\frac{\sqrt{5}(12\sqrt{22}-11\sqrt{3})}{66}
expand (x^2+4x+6)^5	expand\:(x^{2}+4x+6)^{5}
expand (sqrt((1-cos(2piw))^2+(sin(2piw))^2))/w	expand\:\frac{\sqrt{(1-\cos(2πw))^{2}+(\sin(2πw))^{2}}}{w}
expand (5+e^{-2t})^2	expand\:(5+e^{-2t})^{2}
expand 1/4 (1+s)(1+t)+1/4 (1-s)(1+t)	expand\:\frac{1}{4}(1+s)(1+t)+\frac{1}{4}(1-s)(1+t)
expand ((5y-3)^2)/(25)	expand\:\frac{(5y-3)^{2}}{25}
expand 2(pi/4+1)	expand\:2(\frac{π}{4}+1)
simplify 240(6-8/(x+2))	simplify\:240(6-\frac{8}{x+2})
simplify (3x+4/5)(3x-4/5)	simplify\:(3x+\frac{4}{5})(3x-\frac{4}{5})
expand cos^2(x)+sin^2(x)	expand\:\cos^{2}(x)+\sin^{2}(x)
expand y(6y^2-x-1)dx+2xdy	expand\:y(6y^{2}-x-1)dx+2xdy
expand (xy^2+bx^2y)+(x+y)x^2(dy)/(dx)	expand\:(xy^{2}+bx^{2}y)+(x+y)x^{2}\frac{dy}{dx}
expand a(-2,-3)b(-4,-5)c(-1,-6)	expand\:a(-2,-3)b(-4,-5)c(-1,-6)
expand (2x+1)left(1+x-x^2)	expand\:(2x+1)left(1+x-x^{2})
expand ((x+1)^2(4x^4+13x^3+6x^2-x-4))/((x+2)^3)	expand\:\frac{(x+1)^{2}(4x^{4}+13x^{3}+6x^{2}-x-4)}{(x+2)^{3}}
expand (z(3z-1))/((z+1)*(z+2))	expand\:\frac{z\cdot\:(3\cdot\:z-1)}{(z+1)\cdot\:(z+2)}
expand (0.002412(z+2.51))/z	expand\:\frac{0.002412(z+2.51)}{z}
expand (2-2/3 z)^3	expand\:(2-\frac{2}{3}z)^{3}
(\partial)/(\partial y)((z)(8xyz-e^z))	\frac{\partial\:}{\partial\:y}((z)(8xyz-e^{z}))
expand-1/((3-x)^2(1-x))	expand\:-\frac{1}{(3-x)^{2}(1-x)}
expand (4(-2x^2+24x))/((7x^2-2x+12)^2)	expand\:\frac{4(-2x^{2}+24x)}{(7x^{2}-2x+12)^{2}}
expand (x-16)sqrt(x)	expand\:(x-16)\sqrt{x}
expand ((7-3x)/4)^2	expand\:(\frac{7-3x}{4})^{2}
expand xsqrt(3)(2sqrt(x)+4sqrt(5))	expand\:x\sqrt{3}(2\sqrt{x}+4\sqrt{5})
expand (4x+7)^4dx	expand\:(4x+7)^{4}dx
expand 1/((s+2)^3)	expand\:\frac{1}{(s+2)^{3}}
expand ((se^{-3s}+4))/(s(s+1))	expand\:\frac{(se^{-3s}+4)}{s(s+1)}
simplify 3(sqrt(5)-1)	simplify\:3(\sqrt{5}-1)

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