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expand (5x-9)^4	expand\:(5x-9)^{4}
factor 6x-4y-x^2-2y^2	factor\:6x-4y-x^{2}-2y^{2}
simplify 40+32+(6x^8)	simplify\:40+32+(6x^{8})
factor 3j^{112}+3j^{39}	factor\:3j^{112}+3j^{39}
simplify 2cos^2(a)-1	simplify\:2\cos^{2}(a)-1
factor x^4-50x^2+625	factor\:x^{4}-50x^{2}+625
simplify 1a^5c^{34}-476-5	simplify\:1a^{5}c^{34}-476-5
factor 2x^3-9x^2+13x-6	factor\:2x^{3}-9x^{2}+13x-6
expand 2x(3x+1)(x-4)	expand\:2x(3x+1)(x-4)
factor 2x^2-2y+4xy-x	factor\:2x^{2}-2y+4xy-x
factor x^2y^2+x^2y	factor\:x^{2}y^{2}+x^{2}y
factor 64a^6-b^6	factor\:64a^{6}-b^{6}
simplify ((a^8a^6)^{1/7})/(a^2)	simplify\:\frac{(a^{8}a^{6})^{\frac{1}{7}}}{a^{2}}
factor 1-64a^3-12a+48a^2	factor\:1-64a^{3}-12a+48a^{2}
expand (a+7)^3	expand\:(a+7)^{3}
simplify ((5x^2-33x-14))/((x^2-7x))	simplify\:\frac{(5x^{2}-33x-14)}{(x^{2}-7x)}
expand (a-6)^3	expand\:(a-6)^{3}
simplify 8(a+1)^3-1	simplify\:8(a+1)^{3}-1
expand (-x+2)(3-x)	expand\:(-x+2)(3-x)
simplify ((2x+1)/2)^3	simplify\:(\frac{2x+1}{2})^{3}
simplify ((12a^2+9a))/((+3a))	simplify\:\frac{(12a^{2}+9a)}{(+3a)}
simplify ((2x^{3/2}))/(x^2)	simplify\:\frac{(2x^{\frac{3}{2}})}{x^{2}}
simplify 0.2x+x	simplify\:0.2x+x
simplify (1/(a+b))(1/(b-a))-(1/(a-b))(1/(b-a))	simplify\:(\frac{1}{a+b})(\frac{1}{b-a})-(\frac{1}{a-b})(\frac{1}{b-a})
expand (5x+y)^3	expand\:(5x+y)^{3}
factor 10c^2-11c^9	factor\:10c^{2}-11c^{9}
simplify ((x^2+3x+1))/((sqrt(2)))	simplify\:\frac{(x^{2}+3x+1)}{(\sqrt{2})}
simplify x^2(x/y-y/x)(y/x+x/y)y^2	simplify\:x^{2}\cdot\:(\frac{x}{y}-\frac{y}{x})(\frac{y}{x}+\frac{x}{y})\cdot\:y^{2}
simplify ((2x-1)/(3y))^3	simplify\:(\frac{2x-1}{3y})^{3}
simplify 9m12+23n^6+144	simplify\:9m12+23n^{6}+144
simplify (a+b)^3-8(a-b)^3	simplify\:(a+b)^{3}-8(a-b)^{3}
simplify-1.7(4g-9)-3.6g	simplify\:-1.7(4g-9)-3.6g
factor-3-x	factor\:-3-x
simplify (3x^3*y^2)^2	simplify\:(3x^{3}\cdot\:y^{2})^{2}
simplify (3x-4y)^3-(3x+4y)^3	simplify\:(3x-4y)^{3}-(3x+4y)^{3}
factor a^4-16b^4	factor\:a^{4}-16b^{4}
simplify 1-cos^2(a)	simplify\:1-\cos^{2}(a)
factor x^{10}-10x^6+9x^2	factor\:x^{10}-10x^{6}+9x^{2}
expand (x+4)(x+2)(x-1)(x-3)	expand\:(x+4)(x+2)(x-1)(x-3)
factor 27-125a^3-135a+225a^2	factor\:27-125a^{3}-135a+225a^{2}
simplify (-x+1/5-x^3)-(1/2 x-x^3-4/5)	simplify\:(-x+\frac{1}{5}-x^{3})-(\frac{1}{2}x-x^{3}-\frac{4}{5})
simplify log_{10}(a^3)b^2*c^5	simplify\:\log_{10}(a^{3})b^{2}\cdot\:c^{5}
f(x)=((sqrt(1+x)-1))/x	f(x)=\frac{(\sqrt{1+x}-1)}{x}
simplify ((2^n+2^{n-1}))/((2^{n+1)-2^n)}	simplify\:\frac{(2^{n}+2^{n-1})}{(2^{n+1}-2^{n})}
simplify ((9^{3n}3^{n+1}))/((27^{n+1)81^n)}	simplify\:\frac{(9^{3n}\cdot\:3^{n+1})}{(27^{n+1}\cdot\:81^{n})}
factor 2x^2-7xy+6y^2	factor\:2x^{2}-7xy+6y^{2}
simplify \det(b^{-1})	simplify\:\det(b^{-1})
factor x^3-3x^2+9x	factor\:x^{3}-3x^{2}+9x
simplify tan^2(arctan(x))	simplify\:\tan^{2}(\arctan(x))
simplify (4x+2y)^3+(4x-2y)^3	simplify\:(4x+2y)^{3}+(4x-2y)^{3}
simplify (-4)/x	simplify\:\frac{-4}{x}
simplify ((x-1)/x)^2	simplify\:(\frac{x-1}{x})^{2}
simplify-d(d-2)-d(d+3)	simplify\:-d(d-2)-d(d+3)
simplify ((3^{n+1}+3^n))/((3^{n+3)-3^{n+1})}	simplify\:\frac{(3^{n+1}+3^{n})}{(3^{n+3}-3^{n+1})}
expand (2x-y^2)^3	expand\:(2x-y^{2})^{3}
simplify (x-3)(x+2)(x+3)(x+8)+56	simplify\:(x-3)(x+2)(x+3)(x+8)+56
simplify 5/(sin^2(a))-5cot^2(a)	simplify\:\frac{5}{\sin^{2}(a)}-5\cot^{2}(a)
simplify a/2+(a^3)/2+(a^5)/2	simplify\:\frac{a}{2}+\frac{a^{3}}{2}+\frac{a^{5}}{2}
factor a^3b^2+a^2b^3	factor\:a^{3}b^{2}+a^{2}b^{3}
factor y^5-y^3-y^2+1	factor\:y^{5}-y^{3}-y^{2}+1
factor 9p^2-16q^2	factor\:9p^{2}-16q^{2}
simplify ((5^{n+3}-65^{n+1}))/((95^n-2^2*5^n))	simplify\:\frac{(5^{n+3}-6\cdot\:5^{n+1})}{(9\cdot\:5^{n}-2^{2}\cdot\:5^{n})}
simplify (x+y)^3-(x^3+y^3)	simplify\:(x+y)^{3}-(x^{3}+y^{3})
simplify-3(4x+(-2)y)-2(x+3y)-2(2x+6y)	simplify\:-3(4x+(-2)y)-2(x+3y)-2(2x+6y)
simplify (x^4)^2*(x^4)^{-2}	simplify\:(x^{4})^{2}\cdot\:(x^{4})^{-2}
simplify (3x-1)^3+(x-4)^3	simplify\:(3x-1)^{3}+(x-4)^{3}
factor x^3+x^2-16x+20	factor\:x^{3}+x^{2}-16x+20
factor y^3+y^2-4y-64	factor\:y^{3}+y^{2}-4y-64
simplify a^{0.2}-16+26-23+3(24)	simplify\:a^{0.2}-16+26-2\cdot\:3+3(2\cdot\:4)
expand (1+a+b)^3	expand\:(1+a+b)^{3}
simplify ((-4x^3y^4)^{-2})/((6x^2y^5)^{-2)}	simplify\:\frac{(-4x^{3}y^{4})^{-2}}{(6x^{2}y^{5})^{-2}}
simplify ((w^2+2w))/w	simplify\:\frac{(w^{2}+2w)}{w}
expand (3y+7)^2	expand\:(3y+7)^{2}
simplify (4x+3)^3-125	simplify\:(4x+3)^{3}-125
simplify y^5-5y^3+3y^2+5y+3/100 y^2+4y+2	simplify\:y^{5}-5y^{3}+3y^{2}+5y+\frac{3}{100}y^{2}+4y+2
simplify ((x^3+64))/((x+4))	simplify\:\frac{(x^{3}+64)}{(x+4)}
simplify (4/(5*a-2))^3	simplify\:(\frac{4}{5\cdot\:a-2})^{3}
simplify 11c^0+11c^1+11c^2+11c^3+11c^4+11c^5	simplify\:11c^{0}+11c^{1}+11c^{2}+11c^{3}+11c^{4}+11c^{5}
factor x^2+y-xy-x	factor\:x^{2}+y-xy-x
factor x^4-y^4+x^2-y^2	factor\:x^{4}-y^{4}+x^{2}-y^{2}
expand (4+y)^3	expand\:(4+y)^{3}
simplify ((5a^m*(5b^m)^2))/(((a^{2m))^2)}	simplify\:\frac{(5a^{m}\cdot\:(5b^{m})^{2})}{((a^{2m})^{2})}
simplify 55x^2-3x+2582x^2-9x^2l	simplify\:55x^{2}-3x+2582x^{2}-9x^{2}l
simplify (3a^{83}b^5)/(99)	simplify\:\frac{3a^{83}b^{5}}{99}
simplify (2x+1)^3+(x-3)^3	simplify\:(2x+1)^{3}+(x-3)^{3}
factor 64z^3+125	factor\:64z^{3}+125
expand (a+b)^4+4	expand\:(a+b)^{4}+4
simplify-6.8(n-8.9)-8.4(n+11.4)	simplify\:-6.8(n-8.9)-8.4(n+11.4)
expand (3a+b^2)^4	expand\:(3a+b^{2})^{4}
simplify ((3x)^{1/2}*(12x)^{3/2})/4	simplify\:\frac{(3x)^{\frac{1}{2}}\cdot\:(12x)^{\frac{3}{2}}}{4}
simplify (a+2b)^3+(a-2b)^3	simplify\:(a+2b)^{3}+(a-2b)^{3}
expand (1-2a)^3	expand\:(1-2a)^{3}
simplify 55x^2-3x+2582x^2-9x^{2615}-3x+v+6	simplify\:55x^{2}-3x+2582x^{2}-9x^{2615}-3x+v+6
expand (3x-7)^3	expand\:(3x-7)^{3}
simplify 9.35× 3/5-5	simplify\:9.35\times\:\frac{3}{5}-5
simplify 2x^2-9x^2	simplify\:2x^{2}-9x^{2}
factor x^4+3x^2y^2+4y^4	factor\:x^{4}+3x^{2}y^{2}+4y^{4}
simplify (x/2+y/5)^3	simplify\:(\frac{x}{2}+\frac{y}{5})^{3}
factor 144x^2y^2+24xy+1	factor\:144x^{2}y^{2}+24xy+1
simplify 5(4-2x)	simplify\:5(4-2x)

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