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expand (-2x^3-6x^2a-a)/((x^3-a)^2)	expand\:\frac{-2x^{3}-6x^{2}a-a}{(x^{3}-a)^{2}}
expand (x-1/(e^2))^2	expand\:(x-\frac{1}{e^{2}})^{2}
expand (3x(a-x)^4)/4	expand\:\frac{3x(a-x)^{4}}{4}
expand (-(-2)(2(-2)^2+3(-2)-12))/3	expand\:\frac{-(-2)(2(-2)^{2}+3(-2)-12)}{3}
expand (2(2x-T))/T	expand\:\frac{2(2x-T)}{T}
expand 1/(r(n-r))	expand\:\frac{1}{r(n-r)}
d/(dt)(({r}(t))(2sin(t)-e^{-t}))	\frac{d}{dt}(({r}(t))(2\sin(t)-e^{-t}))
expand (x/3+y/6+z=1)6	expand\:(\frac{x}{3}+\frac{y}{6}+z=1)6
expand (9+27s+3s^3)/((9+s^2)^2)	expand\:\frac{9+27s+3s^{3}}{(9+s^{2})^{2}}
expand ((0.37+2x)^2)/((0.3-x)*(0.38-x))	expand\:\frac{(0.37+2x)^{2}}{(0.3-x)\cdot\:(0.38-x)}
expand 2pi(sqrt(2)+ln(1+sqrt(2)))	expand\:2π(\sqrt{2}+\ln(1+\sqrt{2}))
simplify (31.622)/((s+0.5)(s+1)^2)	simplify\:\frac{31.622}{(s+0.5)(s+1)^{2}}
expand δ/(δx)(cos(x)+cos(y))	expand\:\frac{δ}{δx}(\cos(x)+\cos(y))
expand ((x+3i)^5*(3-4i))/(16)	expand\:\frac{(x+3i)^{5}\cdot\:(3-4i)}{16}
expand (650)/(0.25)((1+1/400)^{(1229)}-1)	expand\:\frac{650}{0.25}\cdot\:((1+\frac{1}{400})^{(12\cdot\:29)}-1)
expand w^{2(n+1)}	expand\:w^{2(n+1)}
expand ((x-2)(x+2))/2	expand\:\frac{(x-2)(x+2)}{2}
expand (x+1)/((x-8)^2)	expand\:\frac{x+1}{(x-8)^{2}}
expand (5(15sqrt(105)+1027))/(288)	expand\:\frac{5(15\sqrt{105}+1027)}{288}
expand (9x+3)/((x-1)(x+1)(x+2))	expand\:\frac{9x+3}{(x-1)(x+1)(x+2)}
expand (2s^2-6s+1)/(s(s-3)(s+1))	expand\:\frac{2s^{2}-6s+1}{s(s-3)(s+1)}
expand (pi(18*2^{2/3}-14))/(15)	expand\:\frac{π(18\cdot\:2^{\frac{2}{3}}-14)}{15}
expand 7e^y(y^2-x^2)	expand\:7e^{y}(y^{2}-x^{2})
expand-xe^x+x(3+x)	expand\:-xe^{x}+x(3+x)
(d^2)/(dh^2)((v)((3h^2+4)^{3/2}-8))	\frac{d^{2}}{dh^{2}}((v)((3h^{2}+4)^{\frac{3}{2}}-8))
expand 5(1-e^{(10)/t})	expand\:5(1-e^{\frac{10}{t}})
expand ((k^3+8k^2+10k+21))/((k+7))	expand\:\frac{(k^{3}+8k^{2}+10k+21)}{(k+7)}
expand ((x+5)(x+1))/((x+4)(x+2))	expand\:\frac{(x+5)(x+1)}{(x+4)(x+2)}
expand sqrt(2)(x-pi/2)	expand\:\sqrt{2}(x-\frac{π}{2})
expand (x^9y-x^9)/((x^6+y^2-2y+1)^2)	expand\:\frac{x^{9}y-x^{9}}{(x^{6}+y^{2}-2y+1)^{2}}
expand (e^x-e^{-x})5(e^x+e^{-x})	expand\:(e^{x}-e^{-x})5(e^{x}+e^{-x})
expand 1/(z(z-10)(z-1))	expand\:\frac{1}{z(z-10)(z-1)}
expand dy(x+y^3-y^2*sin(x))	expand\:dy(x+y^{3}-y^{2}\cdot\:\sin(x))
expand (x^2+1)^2dx	expand\:(x^{2}+1)^{2}dx
expand (sqrt(x-4))/(\sqrt[4]{(x-4)^3)}	expand\:\frac{\sqrt{x-4}}{\sqrt[4]{(x-4)^{3}}}
expand (f(4x-5+h)-4x-5)/h	expand\:\frac{f(4x-5+h)-4x-5}{h}
expand cos(x)dx+(1+2/y)sin(x)	expand\:\cos(x)dx+(1+\frac{2}{y})\sin(x)
expand (3(-t^4+12t^2-12))/(2t^2)	expand\:\frac{3(-t^{4}+12t^{2}-12)}{2t^{2}}
expand (1.45)(50)	expand\:(1.45)(50)
expand (2/3)/5	expand\:\frac{\frac{2}{3}}{5}
expand (x^2y-2xy+1)+(-3x^2y+1/2)	expand\:(x^{2}y-2xy+1)+(-3x^{2}y+\frac{1}{2})
expand ((4x))/(((x-a)^{(2)))}	expand\:\frac{(4x)}{((x-a)^{(2)})}
expand (-\sqrt[3]{x}+2)/((x-8)(\sqrt[3]{x)+2)}	expand\:\frac{-\sqrt[3]{x}+2}{(x-8)(\sqrt[3]{x}+2)}
expand (2(x-3)(3x-4))/((x^2-4)^2)	expand\:\frac{2(x-3)(3x-4)}{(x^{2}-4)^{2}}
expand (x-1/x)^{1/2}	expand\:(x-\frac{1}{x})^{\frac{1}{2}}
expand (h(k-t))/(rkt)	expand\:\frac{h(k-t)}{rkt}
expand log_{3}(\sqrt[4]{x^{12}y})	expand\:\log_{3}(\sqrt[4]{x^{12}y})
expand (-2t^5-2t)/((t^4-1)^2(t^2-1))	expand\:\frac{-2t^{5}-2t}{(t^{4}-1)^{2}(t^{2}-1)}
expand A(-1,0)B(3/2 ,-1/2)	expand\:A(-1,0)B(\frac{3}{2},-\frac{1}{2})
expand 4sin(2(pi+θ))	expand\:4\sin(2(π+θ))
expand dxd(3x^2-1)	expand\:dxd(3x^{2}-1)
expand 12/8	expand\:\frac{12}{8}
expand (x-9)(x+14)'\prime	expand\:(x-9)(x+14)\prime\:\prime
expand (derivative of (x^2+6(x^3+6)))/((x^2+4))	expand\:\frac{\frac{d}{dx}((x^{2}+6)(x^{3}+6))}{(x^{2}+4)}
expand (0,4a-5b)(0.4a+5b)	expand\:(0,4a-5b)(0.4a+5b)
expand (3x^2+6x+9)/((x^2+2x+2)(x^2+2x+5))	expand\:\frac{3x^{2}+6x+9}{(x^{2}+2x+2)(x^{2}+2x+5)}
expand (14sin(θ))/((1+cos(θ))^2)	expand\:\frac{14\sin(θ)}{(1+\cos(θ))^{2}}
(\partial)/(\partial y)((x)(x^2+2-xy-y))	\frac{\partial\:}{\partial\:y}((x)(x^{2}+2-xy-y))
expand (1-t)sL+(1-L)-((1-L)^2)/2+xg	expand\:(1-t)sL+(1-L)-\frac{(1-L)^{2}}{2}+xg
expand x\sqrt[3]{(x^2+1)^2}+\sqrt[3]{(x^2+1)^2}	expand\:x\sqrt[3]{(x^{2}+1)^{2}}+\sqrt[3]{(x^{2}+1)^{2}}
expand (1+t(x)^2)(d^2)/(dtdx)(x)+x	expand\:(1+t(x)^{2})\frac{d^{2}}{dtdx}(x)+x
expand-3/4 (e^{-x}-e^{3x})	expand\:-\frac{3}{4}(e^{-x}-e^{3x})
expand (V(p+h)(Vp-Vh)(h-p))/(p^2)	expand\:\frac{V(p+h)(Vp-Vh)(h-p)}{p^{2}}
expand λe^{λt}g(e^t-λe^t)	expand\:λe^{λt}g(e^{t}-λe^{t})
expand (15a)/(s(3s+8))	expand\:\frac{15a}{s(3s+8)}
expand (x^3y^2-y)dx+(x^2y^2-x)dy	expand\:(x^{3}y^{2}-y)dx+(x^{2}y^{2}-x)dy
expand x(1+xln(xy-5))	expand\:x(1+x\ln(xy-5))
expand 5/6-2	expand\:\frac{5}{6}-2
expand ((1-v^2)dv)/(v(1+v^2))	expand\:\frac{(1-v^{2})dv}{v(1+v^{2})}
expand ((n!+1)^3)/((8n+1)!)	expand\:\frac{(n!+1)^{3}}{(8n+1)!}
expand ((5x+2)(2x+1))/((x-3)(x+3))	expand\:\frac{(5x+2)(2x+1)}{(x-3)(x+3)}
expand 1/2 sin(2(x+t))+1/2 sin(2(x-t))	expand\:\frac{1}{2}\sin(2(x+t))+\frac{1}{2}\sin(2(x-t))
expand-5(x+3y=13)	expand\:-5(x+3y=13)
expand (y=2,)(x=+1)	expand\:(y=2,)(x=+1)
expand (16+6s^2)/(s^2(s+4))	expand\:\frac{16+6s^{2}}{s^{2}(s+4)}
expand 3((x-4)(x+2))	expand\:3((x-4)(x+2))
expand ((x+8)(x-3))/((x+4)(x+9))	expand\:\frac{(x+8)(x-3)}{(x+4)(x+9)}
expand e^{rx}(r^2-7r+6)	expand\:e^{rx}(r^{2}-7r+6)
expand 1/8 (2e^y+e^{y/4}+2e^{y/2}+3e^{(3y)/4})	expand\:\frac{1}{8}(2e^{y}+e^{\frac{y}{4}}+2e^{\frac{y}{2}}+3e^{\frac{3y}{4}})
expand (-0.000027+sqrt((7.29E-10-414^')^'))/2	expand\:\frac{-0.000027+\sqrt{(7.29E-10-414^{\prime\:})^{\prime\:}}}{2}
expand-2/((s+2)^2)	expand\:-\frac{2}{(s+2)^{2}}
d/(dθ)((x(θ))(r(θ)cos(θ)-r(θ)sin(θ)))	\frac{d}{dθ}((x(θ))(r(θ)\cos(θ)-r(θ)\sin(θ)))
expand ((e^2+1)(e+1)(e-1))/(2e^4)	expand\:\frac{(e^{2}+1)(e+1)(e-1)}{2e^{4}}
expand a(2-e^x)	expand\:a(2-e^{x})
d/(d{x)}(({z})({x}^2{y}+{x}{y}^2{z}))	\frac{d}{d{x}}(({z})({x}^{2}{y}+{x}{y}^{2}{z}))
expand (2x(4x^3+x^2+1)+3)/(3x+15)	expand\:\frac{2x(4x^{3}+x^{2}+1)+3}{3x+15}
expand-((2sqrt(1-(sin(t)))(sin(t)+2))/3)	expand\:-(\frac{2\sqrt{1-(\sin(t))}(\sin(t)+2)}{3})
expand e^{3x^2+x}(6x+1)	expand\:e^{3x^{2}+x}(6x+1)
expand (3(x^2+2)^{4/3}+3)/(2(x^2+2)^{1/3)}	expand\:\frac{3(x^{2}+2)^{\frac{4}{3}}+3}{2(x^{2}+2)^{\frac{1}{3}}}
expand (3-5xe^x)(3x+2)	expand\:(3-5xe^{x})(3x+2)
expand sqrt((b^2+c^2)^2+a^2)	expand\:\sqrt{(b^{2}+c^{2})^{2}+a^{2}}
(d^2)/(dx^2)(({u}(x))(5.38+1.25*ln(x)-250x))	\frac{d^{2}}{dx^{2}}(({u}(x))(5.38+1.25\cdot\:\ln(x)-250x))
expand ((e^2-1)In^2)/2	expand\:\frac{(e^{2}-1)In^{2}}{2}
expand 2pi(64-32sqrt(2))	expand\:2π(64-32\sqrt{2})
expand 6/((s+1)(s+4)s^4)	expand\:\frac{6}{(s+1)(s+4)s^{4}}
expand (6x-6x^2)dx	expand\:(6x-6x^{2})dx
expand x(4x^2+5x-3=0)	expand\:x(4x^{2}+5x-3=0)
expand 6(X-5=12)	expand\:6(X-5=12)
expand (sec^2(x))^2	expand\:(\sec^{2}(x))^{2}
expand (4i-3)/((iz+4)*(z-3))	expand\:\frac{4i-3}{(iz+4)\cdot\:(z-3)}

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