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expand (-(ke^{-rt})/r+C)e^{rt}	expand\:(-\frac{ke^{-rt}}{r}+C)e^{rt}
expand [((11s^2-10s+11))/((s^2+1)(s^2-2s+5))]	expand\:[\frac{(11s^{2}-10s+11)}{(s^{2}+1)(s^{2}-2s+5)}]
expand (1000K)/((s+10)s(s+100))	expand\:\frac{1000K}{(s+10)s(s+100)}
expand 4/((x-2)(x+5))	expand\:\frac{4}{(x-2)(x+5)}
expand (xy^2+2ycos(x))dx-(x^2y+2sin(x))dy	expand\:(xy^{2}+2y\cos(x))dx-(x^{2}y+2\sin(x))dy
expand ((x^2+3)^3)/3	expand\:\frac{(x^{2}+3)^{3}}{3}
expand 1/((4-s)^2)	expand\:\frac{1}{(4-s)^{2}}
expand (Ax^2+Bx+C)e^x	expand\:(Ax^{2}+Bx+C)e^{x}
expand (sqrt(2)-sqrt(x-3))(sqrt(x-1)+2)	expand\:(\sqrt{2}-\sqrt{x-3})(\sqrt{x-1}+2)
expand (1-t)/((1-t(1-x))^2)	expand\:\frac{1-t}{(1-t(1-x))^{2}}
expand curl(x^2y,yz,x-z)	expand\:curl(x^{2}y,yz,x-z)
expand sqrt(x^2+((4x)/(x-2))^2)	expand\:\sqrt{x^{2}+(\frac{4x}{x-2})^{2}}
expand (sqrt(3)x)/2-3/(2pi)(100-3x)	expand\:\frac{\sqrt{3}x}{2}-\frac{3}{2π}(100-3x)
expand ((z^2+z))/(((z-1)(z^2+1)))	expand\:\frac{(z^{2}+z)}{((z-1)(z^{2}+1))}
expand (2x^2)/((2x-1)(x+1))	expand\:\frac{2x^{2}}{(2x-1)(x+1)}
expand 1/((x-3)(x-1))	expand\:\frac{1}{(x-3)(x-1)}
expand 8+2k+(8,8+k)*(x-0,y-2)	expand\:8+2k+(8,8+k)\cdot\:(x-0,y-2)
expand e^x(x^2+x+1)*(-x)	expand\:e^{x}(x^{2}+x+1)\cdot\:(-x)
expand ((x^3+1)(x-2))/(x^2)	expand\:\frac{(x^{3}+1)(x-2)}{x^{2}}
expand (λ(λ-1)(λ-2)(λ-3))/(24)	expand\:\frac{λ(λ-1)(λ-2)(λ-3)}{24}
expand (-8,-1)y(-6,5)(-6,5)	expand\:(-8,-1)y(-6,5)(-6,5)
expand ((34x-442)^2)/(28561)	expand\:\frac{(34x-442)^{2}}{28561}
expand (x^2+2x-2)/((x+1)^2)	expand\:\frac{x^{2}+2x-2}{(x+1)^{2}}
expand-5/(2(2-5x))	expand\:-\frac{5}{2(2-5x)}
expand (-yx^2-y+x)/(x(y-x))	expand\:\frac{-yx^{2}-y+x}{x(y-x)}
expand (-x-2)(x-3=y)	expand\:(-x-2)(x-3=y)
expand (x^4-27x^2)/((x^2-9)^2)	expand\:\frac{x^{4}-27x^{2}}{(x^{2}-9)^{2}}
expand (t^2+4t-5)/((t+2)(t+4))	expand\:\frac{t^{2}+4t-5}{(t+2)(t+4)}
expand t/((t+3)(t^2+9))	expand\:\frac{t}{(t+3)(t^{2}+9)}
expand log_{10}(x^2+sqrt(x^2-4)*(x^2+2)^3)	expand\:\log_{10}(x^{2}+\sqrt{x^{2}-4}\cdot\:(x^{2}+2)^{3})
expand sec((3.14)/2)	expand\:\sec(\frac{3.14}{2})
expand (10(sqrt(13)-2))/3	expand\:\frac{10(\sqrt{13}-2)}{3}
expand (x-3/2)^{3/4}	expand\:(x-\frac{3}{2})^{\frac{3}{4}}
expand (4(3-x)^4)/(81)	expand\:\frac{4(3-x)^{4}}{81}
expand ((x*e^x))/(((x+1)^2))	expand\:\frac{(x\cdot\:e^{x})}{((x+1)^{2})}
expand 1/((1-a/x)^3)-1/((1+a/x)^2)	expand\:\frac{1}{(1-\frac{a}{x})^{3}}-\frac{1}{(1+\frac{a}{x})^{2}}
expand 2(ln(2x)+b)	expand\:2(\ln(2x)+b)
expand y'(x)-y(xy^3-1)	expand\:y\prime\:(x)-y(xy^{3}-1)
expand (\partial)/(\partial x)((x-a)^2)+(y-b)^2	expand\:\frac{\partial\:}{\partial\:x}((x-a)^{2})+(y-b)^{2}
expand P(1,8,-3)yQ(1,0,8)	expand\:P(1,8,-3)yQ(1,0,8)
expand x^{(1-2x)/x}*(1-ln(x))	expand\:x^{\frac{1-2x}{x}}\cdot\:(1-\ln(x))
d/(dt)(({z}(t))(-10sin(t)+2cos(t)))	\frac{d}{dt}(({z}(t))(-10\sin(t)+2\cos(t)))
expand ((2n-1)(2n))/2 n	expand\:\frac{(2n-1)(2n)}{2}n
expand (s+2pi)^2	expand\:(s+2π)^{2}
d/(d{r)}(({r})((8pi{r})/3-(2{v})/({r)}))	\frac{d}{d{r}}(({r})(\frac{8π{r}}{3}-\frac{2{v}}{{r}}))
(d^2)/(dh^2)(({V}(h))((3h^2+4)^{3/2}-8))	\frac{d^{2}}{dh^{2}}(({V}(h))((3h^{2}+4)^{\frac{3}{2}}-8))
expand ((r+ix)-1)/((r+ix)+1)	expand\:\frac{(r+ix)-1}{(r+ix)+1}
expand ((1+2sqrt(x))^4)/2	expand\:\frac{(1+2\sqrt{x})^{4}}{2}
simplify (1+2e^{it})^3	simplify\:(1+2e^{it})^{3}
expand 5sec(pi/4 (x+1))	expand\:5\sec(\frac{π}{4}(x+1))
expand 18/23-1/23	expand\:\frac{18}{23}-\frac{1}{23}
expand (x(-xy^2-x^2y+32x))/((y+x)^2)	expand\:\frac{x(-xy^{2}-x^{2}y+32x)}{(y+x)^{2}}
expand (1+0.9z)(1-0,9z)(1+2z)	expand\:(1+0.9z)\cdot\:(1-0,9z)\cdot\:(1+2z)
expand sqrt(-25)	expand\:\sqrt{-25}
expand (y+1)dx+(4x-y)dy	expand\:(y+1)dx+(4x-y)dy
expand 2(x+Δx)^3-6(x+Δx)^2-7(x+Δx)+11	expand\:2(x+Δx)^{3}-6(x+Δx)^{2}-7(x+Δx)+11
expand (l-\|x\|)cos((npix)/l)	expand\:(l-\left\|x\right\|)\cos(\frac{nπx}{l})
expand (4(s+2))/(s(s^3+2s^2+3s+4))	expand\:\frac{4(s+2)}{s(s^{3}+2s^{2}+3s+4)}
expand (((ks-s)(k^2-1)(s-1))/(s^2-s-2))+(k-1)	expand\:(\frac{(ks-s)(k^{2}-1)(s-1)}{s^{2}-s-2})+(k-1)
expand (x^2)/((1+0.6x)(1-x))	expand\:\frac{x^{2}}{(1+0.6x)(1-x)}
expand ((1+2sqrt(x))^4)/8	expand\:\frac{(1+2\sqrt{x})^{4}}{8}
expand (-16e^xsin(x))(8e^xcos(x)-8e^xsin(x))	expand\:(-16e^{x}\sin(x))(8e^{x}\cos(x)-8e^{x}\sin(x))
expand (pi(x^6+1))/3	expand\:\frac{π(x^{6}+1)}{3}
expand x^2((x+2)(x-4))	expand\:x^{2}((x+2)(x-4))
expand 3(mx-m-1)^2	expand\:3(mx-m-1)^{2}
expand (-x^2+2x-3)/((x-1)^2)	expand\:\frac{-x^{2}+2x-3}{(x-1)^{2}}
expand (e^2-1)u^2	expand\:(e^{2}-1)u^{2}
expand ((a+x)(b+n-x))/((a+b+n)^2(a+b+n+1))	expand\:\frac{(a+x)(b+n-x)}{(a+b+n)^{2}(a+b+n+1)}
expand (e^{4x}-e^{-4x})^2	expand\:(e^{4x}-e^{-4x})^{2}
expand V(0,+sqrt(6))F(0,+sqrt(10))	expand\:V(0,+\sqrt{6})F(0,+\sqrt{10})
expand ((x+iy-1)^2)/((x+iy+1)^2)	expand\:\frac{(x+iy-1)^{2}}{(x+iy+1)^{2}}
expand (2x-2+c/(e^x))^2	expand\:(2x-2+\frac{c}{e^{x}})^{2}
expand (4x^2+3x+6)/(x^2(x^2+3))	expand\:\frac{4x^{2}+3x+6}{x^{2}(x^{2}+3)}
expand x(51-8ln(x))	expand\:x(51-8\ln(x))
expand ((tan^2(x)))/2+((tan^4(x)))/4	expand\:\frac{(\tan^{2}(x))}{2}+\frac{(\tan^{4}(x))}{4}
expand ((xy+6)^3)/(8y^3)	expand\:\frac{(xy+6)^{3}}{8y^{3}}
expand (((x+2)(2a+x)))/2	expand\:\frac{((x+2)(2a+x))}{2}
expand (derivative of (4x-3^3))/((2x-3)^4)	expand\:\frac{\frac{d}{dx}((4x-3)^{3})}{(2x-3)^{4}}
expand ((x-2)(x+m))/((x+4))	expand\:\frac{(x-2)(x+m)}{(x+4)}
expand (2(x^2-3))/((x^2-9)((x^2-4)))	expand\:\frac{2(x^{2}-3)}{(x^{2}-9)((x^{2}-4))}
expand (\partial)/(\partial t)(2xy+2(x+y)t)-4tk	expand\:\frac{\partial\:}{\partial\:t}(2xy+2(x+y)t)-4tk
expand 1/(s(s-1)(s-2))	expand\:\frac{1}{s(s-1)(s-2)}
expand A(3,-2)B(1,-6)	expand\:A(3,-2)B(1,-6)
expand (ab(a+b)+bc(b+c)+ac(a+c))/(3abc)	expand\:\frac{ab(a+b)+bc(b+c)+ac(a+c)}{3abc}
expand ((9x^2))/((5x+3)^4)	expand\:\frac{(9x^{2})}{(5x+3)^{4}}
expand ((sqrt(x)(7x-14)^{(1/4)}))/((1-x^3)^3)	expand\:\frac{(\sqrt{x}(7x-14)^{(\frac{1}{4})})}{(1-x^{3})^{3}}
expand-4ln(a)-(-4ln(b)-2ln(c))	expand\:-4\ln(a)-(-4\ln(b)-2\ln(c))
expand (1-pi)^2	expand\:(1-π)^{2}
expand (2C+75(x^2+4)^{2/3})/2	expand\:\frac{2C+75(x^{2}+4)^{\frac{2}{3}}}{2}
expand 1/(sin(x))	expand\:\frac{1}{\sin(x)}
expand (2e^{2x}cos(x)-e^{2x}sin(x))^2	expand\:(2e^{2x}\cos(x)-e^{2x}\sin(x))^{2}
expand 30(22x-18y=4)	expand\:30(22x-18y=4)
expand (16e^xcos(x))(8e^xsin(x)+8e^xcos(x))	expand\:(16e^{x}\cos(x))(8e^{x}\sin(x)+8e^{x}\cos(x))
expand (((224+2x)^2))/((0.00623-x)(0.00414-x))	expand\:\frac{((224+2x)^{2})}{(0.00623-x)(0.00414-x)}
expand ((2+sqrt(3))(sqrt(5)-1))/2	expand\:\frac{(2+\sqrt{3})(\sqrt{5}-1)}{2}
expand 1/(y(a-by))	expand\:\frac{1}{y(a-by)}
expand (8(2sqrt(2)-sqrt(3)))/5	expand\:\frac{8(2\sqrt{2}-\sqrt{3})}{5}
expand ((x-8)(x+3))/(x-2)	expand\:\frac{(x-8)(x+3)}{x-2}
expand 0.03cos(2t-3x)(2-3(dx)/(dt))	expand\:0.03\cos(2t-3x)(2-3\frac{dx}{dt})
expand (7x^2-14x+21)/((x-2)(x^2+3))	expand\:\frac{7x^{2}-14x+21}{(x-2)(x^{2}+3)}

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