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expand ((0.04-x)(x))/(0.12-x)	expand\:\frac{(0.04-x)(x)}{0.12-x}
d/(dy)((x)(x^2+2x+1))	\frac{d}{dy}((x)(x^{2}+2x+1))
expand (x^2+1/(2x))^{11}	expand\:(x^{2}+\frac{1}{2x})^{11}
expand (sqrt(1-2(a+h)^2)-sqrt(1-2a^2))/h	expand\:\frac{\sqrt{1-2(a+h)^{2}}-\sqrt{1-2a^{2}}}{h}
simplify (f\circ g)(f/(-x^2)+1)(g/(-x)+1)	simplify\:(f\circ\:g)(\frac{f}{-x^{2}}+1)(\frac{g}{-x}+1)
expand 4[(6y^8-2y^5+4y^3-y+8)(-9x^3+7x^2-2x+5)]	expand\:4[(6y^{8}-2y^{5}+4y^{3}-y+8)(-9x^{3}+7x^{2}-2x+5)]
expand (4+4sin(θ))*4cos(θ)	expand\:(4+4\sin(θ))\cdot\:4\cos(θ)
expand (12t^2(5-t))/(625)	expand\:\frac{12t^{2}(5-t)}{625}
expand ((4x-x^2),(4-x)^2)*(-1,4-2x)	expand\:((4x-x^{2}),(4-x)^{2})\cdot\:(-1,4-2x)
simplify (x+3sqrt(5))(x-3sqrt(5))	simplify\:(x+3\sqrt{5})(x-3\sqrt{5})
expand (1+i)^{10}	expand\:(1+i)^{10}
expand (\sqrt[3]{m+\sqrt[3]{2}})^3	expand\:(\sqrt[3]{m+\sqrt[3]{2}})^{3}
expand 1/(x^2(Ax+1))	expand\:\frac{1}{x^{2}(Ax+1)}
simplify (x^2+1/(x^2))(x^3+1/(x^3))	simplify\:(x^{2}+\frac{1}{x^{2}})(x^{3}+\frac{1}{x^{3}})
expand ((x^2+1)(x^4-x^2+1))/(x^3)	expand\:\frac{(x^{2}+1)(x^{4}-x^{2}+1)}{x^{3}}
expand 5+6	expand\:5+6
expand (x^3+x^2+3x+5)/((x^2+1)^2)	expand\:\frac{x^{3}+x^{2}+3x+5}{(x^{2}+1)^{2}}
expand (2(x+9)(x+1))/((x+4)(x-2))	expand\:\frac{2(x+9)(x+1)}{(x+4)(x-2)}
simplify sqrt(x)(sqrt(x)-2sqrt(y))	simplify\:\sqrt{x}(\sqrt{x}-2\sqrt{y})
(d^3)/(dx^3)((y)(x^{10}-sec(x)))	\frac{d^{3}}{dx^{3}}((y)(x^{10}-\sec(x)))
expand 1/((1-5x)^3)	expand\:\frac{1}{(1-5x)^{3}}
expand (1-piY)2Y	expand\:(1-πY)2Y
expand (-sin(x)cos(x))^2	expand\:(-\sin(x)\cos(x))^{2}
expand (5(sqrt(2)-sqrt(6)))/4	expand\:\frac{5(\sqrt{2}-\sqrt{6})}{4}
expand f'(x)5x^3(x^2-9)	expand\:f\prime\:(x)5x^{3}(x^{2}-9)
simplify 1/2 (sin(x)+1/5 sin(5x))	simplify\:\frac{1}{2}(\sin(x)+\frac{1}{5}\sin(5x))
simplify (1/(0.5x+2)+2)*0.5	simplify\:(\frac{1}{0.5x+2}+2)\cdot\:0.5
simplify (-b+sqrt(d))(-b-sqrt(d))	simplify\:(-b+\sqrt{d})(-b-\sqrt{d})
simplify 1/2 (8+log_{2}(3))	simplify\:\frac{1}{2}(8+\log_{2}(3))
expand (4sin(x)+3)(sin(x)-1)	expand\:(4\sin(x)+3)(\sin(x)-1)
expand (cos(θ)+0.35)^2	expand\:(\cos(θ)+0.35)^{2}
expand (3x-9)/((x^3-1)(x-2)^3(x^2+x+1))	expand\:\frac{3x-9}{(x^{3}-1)(x-2)^{3}(x^{2}+x+1)}
expand (2x(x-3))/(x^3-x^2-6)	expand\:\frac{2x(x-3)}{x^{3}-x^{2}-6}
expand 1/((x+5)(x+4))	expand\:\frac{1}{(x+5)(x+4)}
expand (5x+8y=11,5)(3x+5y=70)	expand\:(5x+8y=11,5)(3x+5y=70)
expand (s+2)/((s+1)(s^2+4))	expand\:\frac{s+2}{(s+1)(s^{2}+4)}
simplify 4x^2*((15)/x-(2x)/5)	simplify\:4x^{2}\cdot\:(\frac{15}{x}-\frac{2x}{5})
((8))/((s+4)(s^2+2s+2))	\frac{(8)}{(s+4)(s^{2}+2s+2)}
expand (3x^2+2xy+y^3)dx+(x^2)	expand\:(3x^{2}+2xy+y^{3})dx+(x^{2})
expand ((s-2)(3s+1)^2)/9	expand\:\frac{(s-2)(3s+1)^{2}}{9}
expand-(4s)/((s+6)(s+2))	expand\:-\frac{4s}{(s+6)(s+2)}
expand (sqrt(4x)-2sqrt(2x-2))/(x^2-3x+2)	expand\:\frac{\sqrt{4x}-2\sqrt{2x-2}}{x^{2}-3x+2}
expand ((x-4)(x+1))/((x+3)(x+2))	expand\:\frac{(x-4)(x+1)}{(x+3)(x+2)}
expand log_{10}(sqrt(1s))	expand\:\log_{10}(\sqrt{1s})
expand (9i,-2j,-3k)(i,-6j-8k)	expand\:(9i,-2j,-3k)(i,-6j-8k)
expand 1/((1-x)(1+x^2))	expand\:\frac{1}{(1-x)(1+x^{2})}
expand ((2x)/3+16/3 =(4x)/2)6	expand\:(\frac{2x}{3}+\frac{16}{3}=\frac{4x}{2})6
expand (12e^{-2x})/((1+e^{-2x))^2}	expand\:\frac{12e^{-2x}}{(1+e^{-2x})^{2}}
expand 2/(x(x+2)^2(s+4))	expand\:\frac{2}{x(x+2)^{2}(s+4)}
expand intersec(c)(1,-3)	expand\:inter\sec(c)(1,-3)
expand (4x)/((1-x)^4)	expand\:\frac{4x}{(1-x)^{4}}
expand-1/((t-1)^2)	expand\:-\frac{1}{(t-1)^{2}}
simplify (1-a-sqrt((-1+a)^2-4b))/2-3	simplify\:\frac{1-a-\sqrt{(-1+a)^{2}-4b}}{2}-3
simplify (sqrt(r)+sqrt(s))^2	simplify\:(\sqrt{r}+\sqrt{s})^{2}
expand-2*(x+dx)^2	expand\:-2\cdot\:(x+dx)^{2}
expand (3x+2y+4)dx+(3x+2y-3)dy	expand\:(3x+2y+4)dx+(3x+2y-3)dy
expand ((4+x)(x-2))/x	expand\:\frac{(4+x)(x-2)}{x}
simplify (x^2-5sqrt(x))^2	simplify\:(x^{2}-5\sqrt{x})^{2}
expand e^{αt}((acosh(βt))+(b+ct)sinh(βt))	expand\:e^{α\cdot\:t}((a\cosh(β\cdot\:t))+(b+c\cdot\:t)\sinh(β\cdot\:t))
simplify (sqrt(x)+sqrt(11))^2	simplify\:(\sqrt{x}+\sqrt{11})^{2}
expand e^{12x}[12(2x+12x^2)+2+(24)/x ]	expand\:e^{12x}[12(2x+12x^{2})+2+\frac{24}{x}]
expand ((x+3)(x-4))/(x+2)	expand\:\frac{(x+3)(x-4)}{x+2}
simplify 3(6+6sqrt(3))	simplify\:3(6+6\sqrt{3})
expand 2((ln(5/2))-(ln(3/2)))	expand\:2((\ln(\frac{5}{2}))-(\ln(\frac{3}{2})))
expand 4\times 5	expand\:4\times\:5
simplify (4/5-3x)*(4/5+3x)	simplify\:(\frac{4}{5}-3x)\cdot\:(\frac{4}{5}+3x)
expand-(x(x+1)(x+10))/(x+5)	expand\:-\frac{x(x+1)(x+10)}{x+5}
expand 3+3(x+pi/4)	expand\:3+3(x+\frac{π}{4})
expand (r+dr)^3	expand\:(r+dr)^{3}
expand 2(sqrt(3+\sqrt{5+\sqrt{13+\sqrt{48)}}}=sqrt(a)+sqrt(b))	expand\:2(\sqrt{3+\sqrt{5+\sqrt{13+\sqrt{48}}}}=\sqrt{a}+\sqrt{b})
expand (3x+2e)^3	expand\:(3x+2e)^{3}
expand-e^{(yx)/2}csc^2(e^{(yx)/2})(zx+y)	expand\:-e^{\frac{yx}{2}}\csc^{2}(e^{\frac{yx}{2}})(zx+y)
simplify (xy+5/8)(3/4-xy)	simplify\:(xy+\frac{5}{8})(\frac{3}{4}-xy)
expand ((x-3)^2)/3	expand\:\frac{(x-3)^{2}}{3}
expand 12(x-5/2)^2+70	expand\:12(x-\frac{5}{2})^{2}+70
expand (1+sqrt(1-x^2))(sqrt(1+(x^2)/(1-x^2)))	expand\:(1+\sqrt{1-x^{2}})(\sqrt{1+\frac{x^{2}}{1-x^{2}}})
expand (e^{4x})(x^2(dy)/(dx)+2xy)	expand\:(e^{4x})(x^{2}\frac{dy}{dx}+2xy)
expand 1/((Ax^2+1)x^2)	expand\:\frac{1}{(A\cdot\:x^{2}+1)\cdot\:x^{2}}
d/(dt)((a(t))(a(t)^4+t^4-6a(t)^2t))	\frac{d}{dt}((a(t))(a(t)^{4}+t^{4}-6a(t)^{2}t))
expand (j+2)/((-2+j)(j-1)(j^2+2j+5))	expand\:\frac{j+2}{(-2+j)(j-1)(j^{2}+2j+5)}
simplify sqr(1+1/((9x^{4/3))})	simplify\:sqr(1+\frac{1}{(9x^{\frac{4}{3}})})
expand (3^'x^{2^'}-6x+4)(-2x^2+7x+5)^'	expand\:(3^{\prime\:}x^{2^{\prime\:}}-6x+4)(-2x^{2}+7x+5)^{\prime\:}
expand ((3+9x))/((1+x)(3+5x))	expand\:\frac{(3+9x)}{(1+x)(3+5x)}
simplify \sqrt[3]{2e^{(a+b)i}-5i}	simplify\:\sqrt[3]{2e^{(a+b)i}-5i}
simplify 2(-sqrt(2)+sqrt(6))	simplify\:2(-\sqrt{2}+\sqrt{6})
expand 464221.875((0, 5/219 ,75)+2*(3/65))	expand\:464221.875((0,\frac{5}{219},75)+2\cdot\:(\frac{3}{65}))
simplify (3x+7)(sqrt(4x+15))	simplify\:(3x+7)(\sqrt{4x+15})
expand e^{2/x-c}(-1/2e^{(2+cx)/x}+c)	expand\:e^{\frac{2}{x}-c}\cdot\:(-\frac{1}{2}\cdot\:e^{\frac{2+cx}{x}}+c)
expand (\sqrt[5]{12}x+y)^5	expand\:(\sqrt[5]{12}x+y)^{5}
expand 1/((x)(x^2+2s+36))	expand\:\frac{1}{(x)(x^{2}+2s+36)}
simplify 1+k/(s^2+(5+k)s+0.5)	simplify\:1+\frac{k}{s^{2}+(5+k)s+0.5}
expand (3(3x-2))/(x-4)	expand\:\frac{3(3x-2)}{x-4}
simplify (sqrt(2-\sqrt{2)})(sqrt(2)+2)	simplify\:(\sqrt{2-\sqrt{2}})(\sqrt{2}+2)
expand (3x+2)/((x-3)(x+2))	expand\:\frac{3x+2}{(x-3)(x+2)}
expand (-1+(sqrt(2)-1)ln(sqrt(2)+1))/2	expand\:\frac{-1+(\sqrt{2}-1)\ln(\sqrt{2}+1)}{2}
expand (3x)/2+x/2	expand\:\frac{3x}{2}+\frac{x}{2}
expand 8a-(5a=8-2(a-3))	expand\:8a-(5a=8-2(a-3))
simplify (2sqrt(x)+sqrt(2))(2sqrt(x)-sqrt(2))	simplify\:(2\sqrt{x}+\sqrt{2})(2\sqrt{x}-\sqrt{2})
expand (3(ln(6))^n)/(n!)	expand\:\frac{3(\ln(6))^{n}}{n!}
expand (3cos(x)-3sin(x))^2	expand\:(3\cos(x)-3\sin(x))^{2}

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