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expand arctan(f(5x^2+1))	expand\:\arctan(f(5x^{2}+1))
expand log_{10}(\sqrt[3]{x^2+6})	expand\:\log_{10}(\sqrt[3]{x^{2}+6})
simplify (x^2+2i)^2(x+4)	simplify\:(x^{2}+2i)^{2}(x+4)
expand sec(a)(1-sin(a))(sec(a)+tan(a))	expand\:\sec(a)(1-\sin(a))(\sec(a)+\tan(a))
expand (x-2)^2(x-(6i))(x-(-6i))	expand\:(x-2)^{2}(x-(6i))(x-(-6i))
expand x^{2(a-2)}-y^{6b}	expand\:x^{2(a-2)}-y^{6b}
expand sqrt(2)(e^{pi/2}-1)	expand\:\sqrt{2}(e^{\frac{π}{2}}-1)
simplify sqrt((x-1)\times x)	simplify\:\sqrt{(x-1)\times\:x}
expand (4x^3-3/(x^2))^5	expand\:(4x^{3}-\frac{3}{x^{2}})^{5}
expand log_{2}(sqrt(32x^7))	expand\:\log_{2}(\sqrt{32x^{7}})
expand pi*6(2sqrt(29)+6)	expand\:π\cdot\:6(2\sqrt{29}+6)
expand (4x^3-3/(x^2))^2	expand\:(4x^{3}-\frac{3}{x^{2}})^{2}
expand ,(3x^2+4x+3)	expand\:,(3x^{2}+4x+3)
expand 1/54 (1+3e^{-2x})^9+C	expand\:\frac{1}{54}(1+3e^{-2x})^{9}+C
simplify c(32sqrt(2)-(64sqrt(2))/3)	simplify\:c(32\sqrt{2}-\frac{64\sqrt{2}}{3})
expand (1+h/R)^2	expand\:(1+\frac{h}{R})^{2}
expand (x^{7/2}-x^{5/2})*x^{3/2}	expand\:(x^{\frac{7}{2}}-x^{\frac{5}{2}})\cdot\:x^{\frac{3}{2}}
expand-sqrt(3)(-2-sqrt(5))	expand\:-\sqrt{3}(-2-\sqrt{5})
expand 21(2+2/3 x)	expand\:21(2+\frac{2}{3}x)
expand (k(3k-2))/2+(3k-2)	expand\:\frac{k(3k-2)}{2}+(3k-2)
simplify (t-sin(t))^2+(1-cos(t))^2	simplify\:(t-\sin(t))^{2}+(1-\cos(t))^{2}
simplify (x+sqrt(3)y^4)(x-sqrt(3)y^4)	simplify\:(x+\sqrt{3}y^{4})(x-\sqrt{3}y^{4})
expand-r/8 (2s-8)	expand\:-\frac{r}{8}(2s-8)
expand 2(x+δx)^5	expand\:2(x+δx)^{5}
expand (1-(x^2)/2)^2	expand\:(1-\frac{x^{2}}{2})^{2}
simplify (2p+3/4)(2p-3/4)	simplify\:(2p+\frac{3}{4})(2p-\frac{3}{4})
expand (i)^{1/2}	expand\:(i)^{\frac{1}{2}}
simplify (1-(sqrt(3))/3)*(1+(sqrt(3))/3)	simplify\:(1-\frac{\sqrt{3}}{3})\cdot\:(1+\frac{\sqrt{3}}{3})
expand 5left(4-a+3x)+(2+a-x)	expand\:5left(4-a+3x)+(2+a-x)
simplify 2(2+sqrt(10))	simplify\:2(2+\sqrt{10})
expand (3cos(x)-2)(tan^2(x)-1)	expand\:(3\cos(x)-2)(\tan^{2}(x)-1)
expand (-3x^2+3)/((x^2+1)^2)	expand\:\frac{-3x^{2}+3}{(x^{2}+1)^{2}}
expand (-1/2 x+11/2)^2-(3)^2	expand\:(-\frac{1}{2}x+\frac{11}{2})^{2}-(3)^{2}
expand (\partial)/(\partial y)(x^2)+y^2(1+x)^3	expand\:\frac{\partial\:}{\partial\:y}(x^{2})+y^{2}(1+x)^{3}
expand (2x+3)/((x-1)(x^2+2x+2))	expand\:\frac{2x+3}{(x-1)(x^{2}+2x+2)}
simplify (-2+3i)^{10}	simplify\:(-2+3i)^{10}
expand x(sqrt(3),-1)y(0,-5)	expand\:x(\sqrt{3},-1)y(0,-5)
expand e^{-(6(x+h))/5}-e^{-(6x)/5}	expand\:e^{-\frac{6(x+h)}{5}}-e^{-\frac{6x}{5}}
expand ((10-x))/(2x+1)	expand\:\frac{(10-x)}{2x+1}
expand ,(5x^6-45x^4)	expand\:,(5x^{6}-45x^{4})
expand (x^4-4x^3+3x^2+ax+b)/((x+1)(x-2))	expand\:\frac{x^{4}-4x^{3}+3x^{2}+ax+b}{(x+1)(x-2)}
expand (8x^2-12)/(x(x^2+2x-6))	expand\:\frac{8x^{2}-12}{x(x^{2}+2x-6)}
simplify (5+sqrt(9x^2+14x+1))^2	simplify\:(5+\sqrt{9x^{2}+14x+1})^{2}
expand C(1,-1)	expand\:C(1,-1)
expand 2(25pi-50)	expand\:2(25π-50)
simplify (a+ibsqrt(5))^2	simplify\:(a+ib\sqrt{5})^{2}
expand s(x)9000(1-e^{-0.002x})	expand\:s(x)9000(1-e^{-0.002x})
expand 5/4 (20x+12=-35)	expand\:\frac{5}{4}(20x+12=-35)
simplify sqrt(n)*(sqrt(4n+1)+2sqrt(n))	simplify\:\sqrt{n}\cdot\:(\sqrt{4n+1}+2\sqrt{n})
simplify (-3-5)y B/((3.5))	simplify\:(-3-5)y\frac{B}{(3.5)}
expand y^{1/3}(y^{1/3}-y^{3/5})	expand\:y^{\frac{1}{3}}(y^{\frac{1}{3}}-y^{\frac{3}{5}})
expand (5/3+9i)left(-1/2+3i)	expand\:(\frac{5}{3}+9i)left(-\frac{1}{2}+3i)
simplify (sqrt(1+sin(x))-sqrt(1-sin(x)))^2	simplify\:(\sqrt{1+\sin(x)}-\sqrt{1-\sin(x)})^{2}
expand ((s^2+s+0.1)*k)/s	expand\:\frac{(s^{2}+s+0.1)\cdot\:k}{s}
(d^4)/(dy^4)((x)((2x+1)^4))	\frac{d^{4}}{dy^{4}}((x)((2x+1)^{4}))
expand (3-2/z)(z-1)	expand\:(3-\frac{2}{z})(z-1)
expand sqrt(3)(w)	expand\:\sqrt{3}(w)
expand (6x^2+5/x)^8	expand\:(6x^{2}+\frac{5}{x})^{8}
simplify (3+(9i)/n)^2	simplify\:(3+\frac{9i}{n})^{2}
expand (6-5s)/((s-1)(s^2-8s+17))	expand\:\frac{6-5s}{(s-1)(s^{2}-8s+17)}
expand-e^x(e^{-x}+1)^3	expand\:-e^{x}(e^{-x}+1)^{3}
expand (tan(a)-1)(sec(a)-1)	expand\:(\tan(a)-1)(\sec(a)-1)
expand (e^xsin(y)+3y)dx+(e^xsin(y)-3x)dy	expand\:(e^{x}\sin(y)+3y)dx+(e^{x}\sin(y)-3x)dy
expand (2(x+6))/3	expand\:\frac{2(x+6)}{3}
expand (x(x-yln(y)))/(y(y-xln(x)))	expand\:\frac{x(x-y\ln(y))}{y(y-x\ln(x))}
expand (cos(x))/(tan(x)(1-sin(x)))	expand\:\frac{\cos(x)}{\tan(x)(1-\sin(x))}
expand (x-1)/y (x-1)/y-1+1	expand\:\frac{x-1}{y}\frac{x-1}{y}-1+1
expand log_{10}(sqrt(a))	expand\:\log_{10}(\sqrt{a})
expand (b-vf-dv)^2	expand\:(b-vf-dv)^{2}
expand (2^r(r^2-2))/((r+1)^2(r+2)^2)	expand\:\frac{2^{r}(r^{2}-2)}{(r+1)^{2}(r+2)^{2}}
expand ((4x-1)^2)/4	expand\:\frac{(4x-1)^{2}}{4}
expand y*(sqrt(b^2-y^2))	expand\:y\cdot\:(\sqrt{b^{2}-y^{2}})
expand (2x^2-13x+20)/((x-1)^2)	expand\:\frac{2x^{2}-13x+20}{(x-1)^{2}}
expand pi(2/(2pi))^2	expand\:π(\frac{2}{2π})^{2}
expand (sec(x)-1)^3	expand\:(\sec(x)-1)^{3}
expand (2xy-sin^2(x))dx+(x^2+2y)dy	expand\:(2xy-\sin^{2}(x))dx+(x^{2}+2y)dy
simplify (2sqrt(x)+3sqrt(y))(4sqrt(x)+5sqrt(y))	simplify\:(2\sqrt{x}+3\sqrt{y})(4\sqrt{x}+5\sqrt{y})
expand (cos(x)en(x)-xy^2)*\|1-x^2\|^{-1+y}	expand\:(\cos(x)en(x)-xy^{2})\cdot\:\left\|1-x^{2}\right\|^{-1+y}
expand (2(x^5-12))/(x^4)	expand\:\frac{2(x^{5}-12)}{x^{4}}
expand sqrt(2)(-3-sqrt(3))	expand\:\sqrt{2}(-3-\sqrt{3})
simplify (4-3sqrt(x))^2	simplify\:(4-3\sqrt{x})^{2}
expand (x^5(x-1)^2)/((x+2)^2(x^2+1)^4)	expand\:\frac{x^{5}(x-1)^{2}}{(x+2)^{2}(x^{2}+1)^{4}}
simplify (x-6-sqrt(3))(x-6+sqrt(3))	simplify\:(x-6-\sqrt{3})(x-6+\sqrt{3})
expand x/((x-5)^2)	expand\:\frac{x}{(x-5)^{2}}
expand e^{t-2}u(t-2)	expand\:e^{t-2}u(t-2)
expand (x^2+y^2)dx+4xydy	expand\:(x^{2}+y^{2})dx+4xydy
expand log_{10}(\sqrt[4]{a/b})	expand\:\log_{10}(\sqrt[4]{\frac{a}{b}})
expand Dx(2x^2-5ln(x)-csc(x)-1)	expand\:Dx(2x^{2}-5\ln(x)-\csc(x)-1)
expand (1-e^{-x})/(x(x^2+2x+26))	expand\:\frac{1-e^{-x}}{x(x^{2}+2x+26)}
expand 4(3e^{3x}+2cos(2x))^3	expand\:4(3e^{3x}+2\cos(2x))^{3}
expand (20)/(s(s+1)(0.5s+1))	expand\:\frac{20}{s(s+1)(0.5s+1)}
expand sqrt(1+x^2)dy+(x+y+sqrt(1+x^2))dx	expand\:\sqrt{1+x^{2}}dy+(x+y+\sqrt{1+x^{2}})dx
expand (d^2)/(d^2x)(xy+5e^y=5e)	expand\:\frac{d^{2}}{d^{2}x}(xy+5e^{y}=5e)
(4.5805(z-0.4776))/((z))	\frac{4.5805(z-0.4776)}{(z)}
simplify 40(sqrt(2)-2)	simplify\:40(\sqrt{2}-2)
expand (2\sqrt[3]{(x+2)^2})/(\sqrt[3]{x^2)-\sqrt[3]{x(x+2)}}	expand\:\frac{2\sqrt[3]{(x+2)^{2}}}{\sqrt[3]{x^{2}}-\sqrt[3]{x(x+2)}}
simplify (x/3+1/6)(1/6+(2y)/3)	simplify\:(\frac{x}{3}+\frac{1}{6})(\frac{1}{6}+\frac{2y}{3})
expand multiply(x^2+0x+13)*(x)	expand\:multiply(x^{2}+0x+13)\cdot\:(x)
expand (208x-56)e-4x	expand\:(208x-56)e-4x
expand ((15p+4q)^2)/(400)	expand\:\frac{(15p+4q)^{2}}{400}

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