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expand ((x-9)(x+9))/(x^3-27)	expand\:\frac{(x-9)(x+9)}{x^{3}-27}
expand (x^2-2x+1)dx	expand\:(x^{2}-2x+1)dx
expand (sqrt(3)+1)cos(2x)+(sqrt(3)-1)sin(2x)	expand\:(\sqrt{3}+1)\cos(2x)+(\sqrt{3}-1)\sin(2x)
expand ((s+1)(s+0.5)(s+2))*28	expand\:((s+1)\cdot\:(s+0.5)\cdot\:(s+2))\cdot\:28
expand ((x+2)^{(1-x)/x}-x^{(-2x+1)/x})*x	expand\:((x+2)^{\frac{1-x}{x}}-x^{\frac{-2x+1}{x}})\cdot\:x
expand e^{xy}cosh(2xy)-Hea_{0}(y-a_{0})(y-2)	expand\:e^{xy}\cosh(2xy)-Hea_{0}(y-a_{0})(y-2)
expand (18(-e-6sqrt(2)-2))/(e^2)	expand\:\frac{18(-e-6\sqrt{2}-2)}{e^{2}}
expand ((s+2)(s-1))/((s-j)(s+j))	expand\:\frac{(s+2)(s-1)}{(s-j)(s+j)}
expand (1/(x^{5/4)}+1/(4-x^{3/4)})*(-y)dy	expand\:(\frac{1}{x^{\frac{5}{4}}}+\frac{1}{4-x^{\frac{3}{4}}})\cdot\:(-y)dy
expand ,sin^2(θ)(1+cot^2(θ))	expand\:,\sin^{2}(θ)(1+\cot^{2}(θ))
simplify DOM(sqrt((4-x)(x+2))+5/(x-3))	simplify\:DOM(\sqrt{(4-x)(x+2)}+\frac{5}{x-3})
expand (10(3-sqrt(3)))/3	expand\:\frac{10(3-\sqrt{3})}{3}
expand (81b^3sqrt(y^2-3))/(y(x+3)^2)	expand\:\frac{81b^{3}\sqrt{y^{2}-3}}{y(x+3)^{2}}
expand (4(x+1))/(5-4x)	expand\:\frac{4(x+1)}{5-4x}
expand ((((4x^3y^-2)^3)^0)^5)^-4	expand\:((((4x^{3}y^{-}2)^{3})^{0})^{5})^{-}4
expand (8x+5y=-7)6	expand\:(8x+5y=-7)6
simplify (sqrt(x)+2)\times (sqrt(x)-2)	simplify\:(\sqrt{x}+2)\times\:(\sqrt{x}-2)
expand (sqrt(y)-y+3)^2	expand\:(\sqrt{y}-y+3)^{2}
expand ((x-1)(x-2)(x-3))/((x-4)(x-5)(x-6))	expand\:\frac{(x-1)(x-2)(x-3)}{(x-4)(x-5)(x-6)}
expand 3^{2(k+1)}	expand\:3^{2(k+1)}
expand-3e^{-x/3}x^2+6(-3e^{-x/3}x-9e^{-x/3})+C	expand\:-3e^{-\frac{x}{3}}x^{2}+6(-3e^{-\frac{x}{3}}x-9e^{-\frac{x}{3}})+C
expand derivative of (x-3(x-6)^3)+7	expand\:\frac{d}{dx}((x-3)(x-6)^{3})+7
expand (1-piR)2Y	expand\:(1-πR)2Y
expand (e^{-3t}+e^{-2t})u(t)	expand\:(e^{-3t}+e^{-2t})u(t)
expand s((17pi)/(30)-a)	expand\:s(\frac{17π}{30}-a)
expand ((t+h)^2)/2	expand\:\frac{(t+h)^{2}}{2}
expand log_{64}(16)	expand\:\log_{64}(16)
simplify 3135825(1+1/(9050000s))	simplify\:3135825(1+\frac{1}{9050000s})
expand \|2*(-13)-3\|	expand\:\left\|2\cdot\:(-13)-3\right\|
expand (dfx+yz)^2	expand\:(dfx+yz)^{2}
simplify (u^8+u)(cos(x))	simplify\:(u^{8}+u)(\cos(x))
expand ((x-3)^5)/((y-1)^2)	expand\:\frac{(x-3)^{5}}{(y-1)^{2}}
expand 4a(2a^23)	expand\:4a(2a^{2}3)
expand (3(2-k))/(2(L^2k-1))	expand\:\frac{3(2-k)}{2(L^{2}k-1)}
expand 30e^{1.5}(5)	expand\:30e^{1.5}(5)
simplify sqrt(n)(8-4sqrt(n))	simplify\:\sqrt{n}(8-4\sqrt{n})
simplify (-7sin(u))(49cos^2(u)-4sin(u))	simplify\:(-7\sin(u))(49\cos^{2}(u)-4\sin(u))
expand (2x)/((x^2+11)^2)	expand\:\frac{2x}{(x^{2}+11)^{2}}
expand 1/((x+1.5)^2)	expand\:\frac{1}{(x+1.5)^{2}}
expand (5^3+6)lef(t)t(4^2-3)'	expand\:(5^{3}+6)lef(t)t(4^{2}-3)\prime\:
expand (x^2+y^2=2,5)(y=x^2-4x+5)	expand\:(x^{2}+y^{2}=2,5)(y=x^{2}-4x+5)
expand (3(x+2))/2	expand\:\frac{3(x+2)}{2}
simplify (9-p^2sin^2(y)(cos(2x)))p^2sin^2(y)	simplify\:(9-p^{2}\sin^{2}(y)(\cos(2x)))p^{2}\sin^{2}(y)
expand-(2e^{-s})/(s(s+1))	expand\:-\frac{2e^{-s}}{s(s+1)}
simplify (-1+4sqrt(2))*2	simplify\:(-1+4\sqrt{2})\cdot\:2
expand (x^4-2x^2+1)-(x-2sqrt(x)=1)	expand\:(x^{4}-2x^{2}+1)-(x-2\sqrt{x}=1)
1/(((S+1)(S+2)))	\frac{1}{((S+1)(S+2))}
expand 1-e^x*(1+e^x)	expand\:1-e^{x}\cdot\:(1+e^{x})
expand-(2(1+sqrt(13)))/3	expand\:-\frac{2(1+\sqrt{13})}{3}
simplify mutiply(r-9)(r-9)	simplify\:mutiply(r-9)(r-9)
expand (\partial)/(\partial x)(x(xy-1-y^2))+y	expand\:\frac{\partial\:}{\partial\:x}(x(xy-1-y^{2}))+y
expand sqrt(x)*(-2)x	expand\:\sqrt{x}\cdot\:(-2)x
expand (e^{3x}-4)^2	expand\:(e^{3x}-4)^{2}
simplify (4sqrt(x)+1/x)(2-2/(x^{4/3)})	simplify\:(4\sqrt{x}+\frac{1}{x})(2-\frac{2}{x^{\frac{4}{3}}})
(d^2)/(dx^2)((y)(4x+4y^2+x^2))	\frac{d^{2}}{dx^{2}}((y)(4x+4y^{2}+x^{2}))
expand 6000(-(e^{-x/(50)}x)/(50)+e^{-x/(50)})	expand\:6000(-\frac{e^{-\frac{x}{50}}x}{50}+e^{-\frac{x}{50}})
expand Lt(e^t+e^{2t})^2	expand\:Lt(e^{t}+e^{2t})^{2}
expand (5-6i)i(-19+2k*pi)	expand\:(5-6i)i(-19+2k\cdot\:π)
simplify (sqrt(5)sqrt(x)-5)^2	simplify\:(\sqrt{5}\sqrt{x}-5)^{2}
expand 9x3+54x2+36x-8	expand\:9x3+54x2+36x-8
simplify (e^{i(k+1)θ}-1)/(e^{iθ)-1}	simplify\:\frac{e^{i(k+1)θ}-1}{e^{iθ}-1}
simplify (3-sqrt(3)i)^7	simplify\:(3-\sqrt{3}i)^{7}
expand (e-fk)(e-efk+fk)	expand\:(e-fk)(e-efk+fk)
expand (248(s+5))/(s(s+4)(s^2+4))	expand\:\frac{248(s+5)}{s(s+4)(s^{2}+4)}
expand (x^2-2x+9)^7	expand\:(x^{2}-2x+9)^{7}
simplify (v+sqrt(v^2+1))^2	simplify\:(v+\sqrt{v^{2}+1})^{2}
expand (2x^2+9x-5)/(6x(4x-5))	expand\:\frac{2x^{2}+9x-5}{6x(4x-5)}
simplify (sqrt(m)+1)^2	simplify\:(\sqrt{m}+1)^{2}
simplify 1/((5-ix)^6)	simplify\:\frac{1}{(5-ix)^{6}}
expand (dx)/((A-x)(B-x))	expand\:\frac{dx}{(A-x)(B-x)}
expand (x-7)left(x-6)	expand\:(x-7)left(x-6)
simplify (3i+5)3e^{it}	simplify\:(3i+5)3e^{it}
expand ((4x+1)^2)/4	expand\:\frac{(4x+1)^{2}}{4}
expand (x(6x^2+72))/((x^2-4)^3)	expand\:\frac{x(6x^{2}+72)}{(x^{2}-4)^{3}}
simplify (x+4-3i)^2	simplify\:(x+4-3i)^{2}
expand (5(5+sqrt(897)))/(109)	expand\:\frac{5(5+\sqrt{897})}{109}
expand-(10sin(x))/((2-3cos(x))^2)	expand\:-\frac{10\sin(x)}{(2-3\cos(x))^{2}}
expand A(2,-11)yB(-1,-5)	expand\:A(2,-11)yB(-1,-5)
expand (x+(2/3))(x+7)	expand\:(x+(\frac{2}{3}))(x+7)
expand (2y-y'(t))^3	expand\:(2y-y\prime\:(t))^{3}
expand (2(-3x^2+7))/((x^2+7)^3)	expand\:\frac{2(-3x^{2}+7)}{(x^{2}+7)^{3}}
expand 3/((4+n)(5+n))	expand\:\frac{3}{(4+n)(5+n)}
expand ((2x-3)(x+3))/2	expand\:\frac{(2x-3)(x+3)}{2}
expand (s^4+26s^2+64)/(s(s^2+4)(s^2+16))	expand\:\frac{s^{4}+26s^{2}+64}{s(s^{2}+4)(s^{2}+16)}
expand (y^3)^2	expand\:(y^{3})^{2}
simplify (log_{10}((x+1)(x+4)))/((2x+23))-1	simplify\:\frac{\log_{10}((x+1)(x+4))}{(2x+23)}-1
solvefor y,3x-y=-22	solvefor\:y,3x-y=-22
expand (x-y=3,y)(2x+4y=9)	expand\:(x-y=3,y)(2x+4y=9)
expand (1/5)(-7^n)(1+5x)	expand\:(\frac{1}{5})(-7^{n})(1+5x)
expand (X-1/2)^4	expand\:(X-\frac{1}{2})^{4}
(\partial)/(\partial u)((x)(-3u-3v^2))	\frac{\partial\:}{\partial\:u}((x)(-3u-3v^{2}))
expand cos(2x-4)+Tg(5x^3-8)	expand\:\cos(2x-4)+Tg(5x^{3}-8)
expand e^{4x}(4sin(x)+cos(x))	expand\:e^{4x}(4\sin(x)+\cos(x))
expand A(A^'+B+C)	expand\:A(A^{\prime\:}+B+C)
expand (csc(x)(sec(x)-1)-tan(x))/(sec(x)-1)	expand\:\frac{\csc(x)(\sec(x)-1)-\tan(x)}{\sec(x)-1}
expand 4(3+cos(2x))^2	expand\:4(3+\cos(2x))^{2}
simplify 1/4 (sin^4(x)+cos^4(x))	simplify\:\frac{1}{4}(\sin^{4}(x)+\cos^{4}(x))
expand (2(9x-2))/(4-3x)	expand\:\frac{2(9x-2)}{4-3x}
expand e^{5t}(2t^2-3t+5t^5)	expand\:e^{5t}(2t^{2}-3t+5t^{5})
d/(dv)((p)(p+(8.1)/(v^2))(v-1.1))	\frac{d}{dv}((p)(p+\frac{8.1}{v^{2}})(v-1.1))

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