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Popular Algebra Problems

rationalize 2/(sqrt(xy))	rationalize\:\frac{2}{\sqrt{xy}}
simplify cos^2(θ)(1+tan^2(θ))	simplify\:\cos^{2}(θ)(1+\tan^{2}(θ))
simplify 1/(x+3)+1/(x^2-9)	simplify\:\frac{1}{x+3}+\frac{1}{x^{2}-9}
simplify 8/(3x^2)+5/(4x)	simplify\:\frac{8}{3x^{2}}+\frac{5}{4x}
simplify (40-50)/(8/(sqrt(25)))	simplify\:\frac{40-50}{\frac{8}{\sqrt{25}}}
80/12	\frac{80}{12}
simplify (1-cos^2(x))^3	simplify\:(1-\cos^{2}(x))^{3}
simplify (-2a^2b)^2(-3ab)^3(ab^2)^4	simplify\:(-2a^{2}b)^{2}(-3ab)^{3}(ab^{2})^{4}
expand (-2d^2+s)(5d^2-6s)	expand\:(-2d^{2}+s)(5d^{2}-6s)
f(m)=(m^2-25)/(m-5)	f(m)=\frac{m^{2}-25}{m-5}
simplify (2+3.29i)+(4-i)	simplify\:(2+3.29i)+(4-i)
simplify 3x+(2x+3)	simplify\:3x+(2x+3)
simplify sin^3(x)(1+cot^2(x))-(1-cos^2(x))csc(x)	simplify\:\sin^{3}(x)(1+\cot^{2}(x))-(1-\cos^{2}(x))\csc(x)
simplify 6sin(x)cos(x)	simplify\:6\sin(x)\cos(x)
factor r^2cos^2(θ)+r^2sin^2(θ)	factor\:r^{2}\cos^{2}(θ)+r^{2}\sin^{2}(θ)
simplify 9*3/4	simplify\:9\cdot\:\frac{3}{4}
simplify 14/40	simplify\:\frac{14}{40}
simplify log_{1/5}(1/125)	simplify\:\log_{\frac{1}{5}}(\frac{1}{125})
factor t^2-t	factor\:t^{2}-t
simplify 1/(5x)+3/(10x^2)	simplify\:\frac{1}{5x}+\frac{3}{10x^{2}}
simplify (x^2+2x-3)/(x^2-1)-(5-2x)/(x+1)	simplify\:\frac{x^{2}+2x-3}{x^{2}-1}-\frac{5-2x}{x+1}
simplify a/(sqrt(a+b)-1)	simplify\:\frac{a}{\sqrt{a+b}-1}
simplify 8x+x	simplify\:8x+x
simplify (n^4)^3	simplify\:(n^{4})^{3}
simplify (x^3+64)/(x+4)+(x^3-64)/(x-4)	simplify\:\frac{x^{3}+64}{x+4}+\frac{x^{3}-64}{x-4}
9\div 1/5	9\div\:\frac{1}{5}
factor 150+2x	factor\:150+2x
expand (x+2)(x^2+2x+3)	expand\:(x+2)(x^{2}+2x+3)
simplify 8/(sqrt(6)+2)	simplify\:\frac{8}{\sqrt{6}+2}
factor 25b^3-35b^2+5b-7	factor\:25b^{3}-35b^{2}+5b-7
simplify (3x-1)/(1-3x)	simplify\:\frac{3x-1}{1-3x}
simplify log_{2}(12)+3log_{2}(3)-log_{2}(9)	simplify\:\log_{2}(12)+3\log_{2}(3)-\log_{2}(9)
simplify sqrt(75b^3)	simplify\:\sqrt{75b^{3}}
simplify (x+1)^3+(x-1)^3	simplify\:(x+1)^{3}+(x-1)^{3}
simplify (2^23^35^7)/(3^25^62^2)	simplify\:\frac{2^{2}\cdot\:3^{3}\cdot\:5^{7}}{3^{2}\cdot\:5^{6}\cdot\:2^{2}}
expand (2x-5)(4x^2+10x+25)	expand\:(2x-5)(4x^{2}+10x+25)
simplify x/(cos(x))	simplify\:\frac{x}{\cos(x)}
simplify (a^5b^2)^{-3}*(a^{-2})^{-3}	simplify\:(a^{5}b^{2})^{-3}\cdot\:(a^{-2})^{-3}
simplify (x+1)/(x^2+6x+9)-1/(x^2-9)	simplify\:\frac{x+1}{x^{2}+6x+9}-\frac{1}{x^{2}-9}
simplify log_{128}(1/64)	simplify\:\log_{128}(\frac{1}{64})
simplify 12x(x+2)-5(2x-1)	simplify\:12x(x+2)-5(2x-1)
simplify sqrt(9x^8)	simplify\:\sqrt{9x^{8}}
simplify (x+1)/(x-4)-(x-1)/((x-4)^2)	simplify\:\frac{x+1}{x-4}-\frac{x-1}{(x-4)^{2}}
simplify 1/(1/10+1/10)	simplify\:\frac{1}{\frac{1}{10}+\frac{1}{10}}
simplify 1+3.322log_{10}(80)	simplify\:1+3.322\log_{10}(80)
simplify ((2m+4)/8)/((m+2)/6)	simplify\:\frac{\frac{2m+4}{8}}{\frac{m+2}{6}}
simplify 3+1/3-1/12-[1-(2 1/4+1.7)]	simplify\:3+\frac{1}{3}-\frac{1}{12}-[1-(2\frac{1}{4}+1.7)]
simplify log_{10}(2)(8)	simplify\:\log_{10}(2)(8)
simplify 3/(2+(1.05)^2)	simplify\:\frac{3}{2+(1.05)^{2}}
simplify sec(x)*sin(x)	simplify\:\sec(x)\cdot\:\sin(x)
simplify i^{312}	simplify\:i^{312}
simplify (1/5)/2	simplify\:\frac{\frac{1}{5}}{2}
factor 4x^2+12x+8	factor\:4x^{2}+12x+8
simplify (760000/600000)^{1/12}-1	simplify\:(\frac{760000}{600000})^{\frac{1}{12}}-1
simplify 2sin(2θ)cos(2θ)	simplify\:2\sin(2θ)\cos(2θ)
simplify-x^2*(-x^2)	simplify\:-x^{2}\cdot\:(-x^{2})
simplify (5(x-8)+8)/5	simplify\:\frac{5(x-8)+8}{5}
simplify (2^3)/(2^3)	simplify\:\frac{2^{3}}{2^{3}}
simplify (sqrt(5)+sqrt(125))/(sqrt(3)-2)	simplify\:\frac{\sqrt{5}+\sqrt{125}}{\sqrt{3}-2}
simplify (x^3y^2)/(xy)-y/(2x^2)+x/y	simplify\:\frac{x^{3}y^{2}}{xy}-\frac{y}{2x^{2}}+\frac{x}{y}
simplify sqrt((x+7)(x-1)+16)	simplify\:\sqrt{(x+7)(x-1)+16}
simplify 2/(4-sqrt(5))	simplify\:\frac{2}{4-\sqrt{5}}
factor 36x^4-48x^6-72x^3+60x^5	factor\:36x^{4}-48x^{6}-72x^{3}+60x^{5}
simplify log_{10}(5/3)	simplify\:\log_{10}(\frac{5}{3})
factor 3-3sqrt(3)i	factor\:3-3\sqrt{3}i
expand (2x-3y^4z^2)^4	expand\:(2x-3y^{4}z^{2})^{4}
simplify (x^2-25)/(x^2-4x-5)	simplify\:\frac{x^{2}-25}{x^{2}-4x-5}
simplify (x+2)(x-7)-(x+6)(x-11)	simplify\:(x+2)(x-7)-(x+6)(x-11)
simplify 2/3*100	simplify\:\frac{2}{3}\cdot\:100
simplify tan(θ)+1/(tan(θ))	simplify\:\tan(θ)+\frac{1}{\tan(θ)}
simplify sqrt((2e^{-x))/(e^x)}	simplify\:\sqrt{\frac{2e^{-x}}{e^{x}}}
simplify x/(7x+x^2)	simplify\:\frac{x}{7x+x^{2}}
factor x^4+x^3-24	factor\:x^{4}+x^{3}-24
simplify 10((x-6)/(10))+6	simplify\:10(\frac{x-6}{10})+6
expand (8x-7)^2	expand\:(8x-7)^{2}
simplify (2x+3)^2-(2x-3)^2+(3x-4)^2-8x^2-16	simplify\:(2x+3)^{2}-(2x-3)^{2}+(3x-4)^{2}-8x^{2}-16
simplify 3/2*5/2	simplify\:\frac{3}{2}\cdot\:\frac{5}{2}
factor 12x^2-8xy-15y^2	factor\:12x^{2}-8xy-15y^{2}
simplify (5x-10)/3*(12)/(x-2)	simplify\:\frac{5x-10}{3}\cdot\:\frac{12}{x-2}
factor 2x^2+x-36	factor\:2x^{2}+x-36
simplify 5sqrt(12)-2sqrt(27)	simplify\:5\sqrt{12}-2\sqrt{27}
simplify 50*3	simplify\:50\cdot\:3
simplify 161616	simplify\:16\cdot\:16\cdot\:16
simplify (cos(t)-sin(t))^2	simplify\:(\cos(t)-\sin(t))^{2}
simplify-7*(-3)	simplify\:-7\cdot\:(-3)
simplify (3+sqrt(6))(3-sqrt(6))	simplify\:(3+\sqrt{6})(3-\sqrt{6})
simplify (sqrt(3)-i)^9	simplify\:(\sqrt{3}-i)^{9}
simplify (10(x^3)^2)/(4x^5)	simplify\:\frac{10(x^{3})^{2}}{4x^{5}}
simplify \sqrt[3]{24}*\sqrt[3]{18}	simplify\:\sqrt[3]{24}\cdot\:\sqrt[3]{18}
simplify x^2x^8	simplify\:x^{2}x^{8}
simplify-3/2*5/9	simplify\:-\frac{3}{2}\cdot\:\frac{5}{9}
simplify 2x+3x+4x	simplify\:2x+3x+4x
simplify a(x-1)-(a+2)(x-1)	simplify\:a(x-1)-(a+2)(x-1)
expand (x^3+1)^3	expand\:(x^{3}+1)^{3}
simplify-a*(-a)	simplify\:-a\cdot\:(-a)
simplify 1.02^5	simplify\:1.02^{5}
simplify x(a+b)^2-4x(a+b)^2	simplify\:x(a+b)^{2}-4x(a+b)^{2}
simplify 2*10^{-8}	simplify\:2\cdot\:10^{-8}
simplify 2*100	simplify\:2\cdot\:100
simplify (sqrt(2))/(\sqrt[3]{3)}	simplify\:\frac{\sqrt{2}}{\sqrt[3]{3}}

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