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simplify (z+1/2)*(z-1)	simplify\:(z+\frac{1}{2})\cdot\:(z-1)
expand (tan((180-θ)/2)(t-2w))/(2)	expand\:\frac{\tan(\frac{180-θ}{2})(t-2w)}{2}
expand (1-cos(x))(x-sin(x))	expand\:(1-\cos(x))(x-\sin(x))
expand (2x^3-36x^2+432x-3240)/(x(x-12))	expand\:\frac{2x^{3}-36x^{2}+432x-3240}{x(x-12)}
solvefor y,2x-y=8-x	solvefor\:y,2x-y=8-x
expand (4s-10)/((s-3)(s-2)(s-1))	expand\:\frac{4s-10}{(s-3)(s-2)(s-1)}
expand P(x,y)A(-5,-4)B(3,18)	expand\:P(x,y)A(-5,-4)B(3,18)
expand-9(x+Δx)^2-15	expand\:-9(x+Δx)^{2}-15
expand sec^2(θ)(1+cos(θ))	expand\:\sec^{2}(θ)(1+\cos(θ))
expand sqrt(3)(5-sqrt(2))	expand\:\sqrt{3}(5-\sqrt{2})
expand 24(8+pi)	expand\:24(8+π)
expand-(20x)/((x^2-1)(x+0.1))	expand\:-\frac{20x}{(x^{2}-1)(x+0.1)}
simplify (sqrt(x-8)+2)^2	simplify\:(\sqrt{x-8}+2)^{2}
simplify lapl(s^2+2s+2)	simplify\:lapl(s^{2}+2s+2)
expand (sqrt(2)+sqrt(5))^4	expand\:(\sqrt{2}+\sqrt{5})^{4}
expand Dx[(2x-9)^2(x^3+4x-5)^3]	expand\:Dx[(2x-9)^{2}(x^{3}+4x-5)^{3}]
expand (4,-1,2)left(-6/7 ,-2/7 , 11/7)	expand\:(4,-1,2)left(-\frac{6}{7},-\frac{2}{7},\frac{11}{7})
expand ((x^2)/3+2x+4)^2	expand\:(\frac{x^{2}}{3}+2x+4)^{2}
expand ((1-e^{-s}*s-e^{-s}))/((s^2)(s+6))	expand\:\frac{(1-e^{-s}\cdot\:s-e^{-s})}{(s^{2})(s+6)}
d/(dθ)((A)(5pir(θ)^2-4r(θ)^2θ-4r(θ)^2sin(θ)))	\frac{d}{dθ}((A)(5πr(θ)^{2}-4r(θ)^{2}θ-4r(θ)^{2}\sin(θ)))
expand (8.3-5.8) derivative of 6.1(v(x,8.3))	expand\:(8.3-5.8)\frac{d}{dx}(6.1(v(x),8.3))
expand ((2x-1)^2)/(2x)	expand\:\frac{(2x-1)^{2}}{2x}
expand ((s-se^{-4s}-10))/((s^2*(s^2+2s)))	expand\:\frac{(s-se^{-4s}-10)}{(s^{2}\cdot\:(s^{2}+2s))}
expand-5/((2x-1)^2)	expand\:-\frac{5}{(2x-1)^{2}}
simplify (sqrt(5x-1)+sqrt(x+3))^2	simplify\:(\sqrt{5x-1}+\sqrt{x+3})^{2}
expand ((p-q)^2)/(p+q)	expand\:\frac{(p-q)^{2}}{p+q}
expand (4cos(t)-sin(t))^2	expand\:(4\cos(t)-\sin(t))^{2}
expand sin((2n+1)pi)	expand\:\sin((2n+1)π)
expand (x(x-1))/((15+x)(14+x))	expand\:\frac{x(x-1)}{(15+x)(14+x)}
simplify (x-sqrt(1/2))*(x+sqrt(1/2))	simplify\:(x-\sqrt{\frac{1}{2}})\cdot\:(x+\sqrt{\frac{1}{2}})
expand 2/((s+1)(s^2+2s+2)(s^3+3s^2+4s+4))	expand\:\frac{2}{(s+1)\cdot\:(s^{2}+2s+2)\cdot\:(s^{3}+3s^{2}+4s+4)}
simplify (x+4i)^3(x-4i)	simplify\:(x+4i)^{3}(x-4i)
expand (cos(x)(1-x^2)+2xsin(x))/((1-x^2)^2)	expand\:\frac{\cos(x)(1-x^{2})+2x\sin(x)}{(1-x^{2})^{2}}
expand f(x)((x)= 4/7 x-16/7)	expand\:f(x)((x)=\frac{4}{7}x-\frac{16}{7})
expand (9-x)(2/3 x+4)	expand\:(9-x)(\frac{2}{3}x+4)
simplify (x-11-sqrt(3))(x-2)(x-4)(x-11+sqrt(3))	simplify\:(x-11-\sqrt{3})(x-2)(x-4)(x-11+\sqrt{3})
expand (2,-2)(2x,3)(4,3)	expand\:(2,-2)(2x,3)(4,3)
expand 1(4x+5y=22.25)	expand\:1(4x+5y=22.25)
expand (125(10+sqrt(73)))/2	expand\:\frac{125(10+\sqrt{73})}{2}
expand 1/((arctan(x)+c)^2)	expand\:\frac{1}{(\arctan(x)+c)^{2}}
expand limx\Rightarrow 2(x^2+x-6x-2)	expand\:limx\Rightarrow\:2(x^{2}+x-6x-2)
expand 99^2	expand\:99^{2}
expand-(sin(x))/(ln(2(cos(x)+ln(pi))))	expand\:-\frac{\sin(x)}{\ln(2(\cos(x)+\ln(π)))}
expand e\|x\|(x^2+4xy-2x)	expand\:e\left\|x\right\|(x^{2}+4xy-2x)
expand (t^2-2t)et	expand\:(t^{2}-2t)et
expand 3((x+4)(x+2)(x+1)(x-4))	expand\:3((x+4)(x+2)(x+1)(x-4))
expand ((x-1)(x+5))/(x-4)	expand\:\frac{(x-1)(x+5)}{x-4}
simplify (m-7+sqrt(7))(m-7-sqrt(7))	simplify\:(m-7+\sqrt{7})(m-7-\sqrt{7})
expand-2sin(t)(16-2sin(t))	expand\:-2\sin(t)(16-2\sin(t))
expand ((x-y))/((x+y)^3)	expand\:\frac{(x-y)}{(x+y)^{3}}
expand (-x^2+18x-49)/((x^2-49)^2)	expand\:\frac{-x^{2}+18x-49}{(x^{2}-49)^{2}}
expand (1,-1,1)y(0,4,4)	expand\:(1,-1,1)y(0,4,4)
simplify (7sqrt(x)+3)(6sqrt(x)+6)	simplify\:(7\sqrt{x}+3)(6\sqrt{x}+6)
expand 2(3+r)(2-e)	expand\:2(3+r)(2-e)
expand (x^3+2x^2-4x-3)left(x^2-2)	expand\:(x^{3}+2x^{2}-4x-3)left(x^{2}-2)
simplify (n-2sqrt(2))(n+2sqrt(2))	simplify\:(n-2\sqrt{2})(n+2\sqrt{2})
expand ((-1)^n)/((3^n*(2n+1)))	expand\:\frac{(-1)^{n}}{(3^{n}\cdot\:(2n+1))}
expand A(3(e^xx^2+2xe^x)+(e^{x^4}*4x^3))	expand\:A(3(e^{x}x^{2}+2xe^{x})+(e^{x^{4}}\cdot\:4x^{3}))
expand (s+1)/((s+2)(s-3))	expand\:\frac{s+1}{(s+2)(s-3)}
expand (z-1-i)(z-1+i)	expand\:(z-1-i)(z-1+i)
expand (L-t/2)(r)(H+k/2)^2	expand\:(L-\frac{t}{2})(r)(H+\frac{k}{2})^{2}
expand 1/(s(s+1)(s^2+6s+13))	expand\:\frac{1}{s(s+1)(s^{2}+6s+13)}
simplify (xsqrt(x^2+36)*3-2(x^2+36))/(6(x^2+36))	simplify\:\frac{x\sqrt{x^{2}+36}\cdot\:3-2(x^{2}+36)}{6(x^{2}+36)}
expand ln(4)m^3n^5	expand\:\ln(4)m^{3}n^{5}
expand ((x^2-2x+1))/(x^2(2x^2+1))	expand\:\frac{(x^{2}-2x+1)}{x^{2}(2x^{2}+1)}
expand (u^5(u^3+1))/(u^2+1)	expand\:\frac{u^{5}(u^{3}+1)}{u^{2}+1}
expand-(1(3+6-8+3))/(-1(3+6-8+3))	expand\:-\frac{1(3+6-8+3)}{-1(3+6-8+3)}
d/(dv)((p)(p+(1.9)/(v^2))(v-7,2))	\frac{d}{dv}((p)(p+\frac{1.9}{v^{2}})(v-7,2))
expand 3(x+2/3)^2	expand\:3(x+\frac{2}{3})^{2}
expand c^{1/3}(c^{1/3}+c^{2/3})-1	expand\:c^{\frac{1}{3}}(c^{\frac{1}{3}}+c^{\frac{2}{3}})-1
expand-e^{x-1}(x-1)-x^2	expand\:-e^{x-1}(x-1)-x^{2}
expand e^x(5x^2+3x+1)	expand\:e^{x}(5x^{2}+3x+1)
expand as^2(s^2+4)+bs(s^2+4)+c(s^2+4)+s^3(ds+e)	expand\:as^{2}(s^{2}+4)+bs(s^{2}+4)+c(s^{2}+4)+s^{3}(ds+e)
expand ((x^2+1)dy-(xy-3x)dx=0)*(-1)	expand\:((x^{2}+1)dy-(xy-3x)dx=0)\cdot\:(-1)
expand (x^2+9x+24)/((x+4)^2(x+3))	expand\:\frac{x^{2}+9x+24}{(x+4)^{2}(x+3)}
expand (1+sin(x))sin(x)	expand\:(1+\sin(x))\sin(x)
expand (x^2+(x^2+4)\sqrt[3]{sqrt(x)-1})/(x^2+4)	expand\:\frac{x^{2}+(x^{2}+4)\sqrt[3]{\sqrt{x}-1}}{x^{2}+4}
expand (-4r^4cos(θ)-4rsin(θ)+r)^2	expand\:(-4r^{4}\cos(θ)-4r\sin(θ)+r)^{2}
expand (e^{15x}+e^{-15x})^2	expand\:(e^{15x}+e^{-15x})^{2}
expand (a+8)/((a-2)(a-9))	expand\:\frac{a+8}{(a-2)(a-9)}
expand-(4(x+4)^2)/9	expand\:-\frac{4(x+4)^{2}}{9}
expand (X^2)/2-2X+3/2	expand\:\frac{X^{2}}{2}-2X+\frac{3}{2}
simplify (3/x-x)(3/x+x)	simplify\:(\frac{3}{x}-x)(\frac{3}{x}+x)
simplify (2sqrt(x)+1)(3-4sqrt(x))	simplify\:(2\sqrt{x}+1)(3-4\sqrt{x})
expand sqrt(x)sqrt(x)	expand\:\sqrt{x}\sqrt{x}
expand (x+((m-l-t))/2)^2	expand\:(x+\frac{(m-l-t)}{2})^{2}
simplify 325(sqrt(6)+sqrt(2))	simplify\:325(\sqrt{6}+\sqrt{2})
expand log_{3}(9.7)	expand\:\log_{3}(9.7)
simplify (sqrt(L)+2sqrt(K))^2*K^{(1/2)}	simplify\:(\sqrt{L}+2\sqrt{K})^{2}\cdot\:K^{(\frac{1}{2})}
expand sqrt(1+x^2)(x^2-1)	expand\:\sqrt{1+x^{2}}(x^{2}-1)
expand-(16(8-3x^2))/((x^2+8)^3)	expand\:-\frac{16(8-3x^{2})}{(x^{2}+8)^{3}}
expand ((1+x))/((1-x)^3)	expand\:\frac{(1+x)}{(1-x)^{3}}
expand (21937.5)/(20000)	expand\:\frac{21937.5}{20000}
expand (k(k-1)(k+1))/3	expand\:\frac{k(k-1)(k+1)}{3}
expand (3+sin(4θ))^2	expand\:(3+\sin(4θ))^{2}
expand dy(7x^9-3x^5+34)	expand\:dy(7x^{9}-3x^{5}+34)
expand iw(iw+2)(iw+3)(iw+7)+kiw+k5	expand\:i\cdot\:w\cdot\:(i\cdot\:w+2)\cdot\:(i\cdot\:w+3)\cdot\:(i\cdot\:w+7)+k\cdot\:i\cdot\:w+k\cdot\:5
expand (ln(a^4b^{-1}))/(ln((bc)-4))	expand\:\frac{\ln(a^{4}b^{-1})}{\ln((bc)-4)}
simplify (x+sqrt(2x^2-x))(x-sqrt(2x^2-x))	simplify\:(x+\sqrt{2x^{2}-x})(x-\sqrt{2x^{2}-x})
simplify (0.00550368)/(s(0.00224+s^2+0.00182s))	simplify\:\frac{0.00550368}{s(0.00224+s^{2}+0.00182s)}

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