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tangent of f(x)=3-x-x^2,\at x=1	tangent\:f(x)=3-x-x^{2},\at\:x=1
derivative of sqrt(x^3)+4x^2-6x+1	\frac{d}{dx}(\sqrt{x^{3}}+4x^{2}-6x+1)
20y^{''}-11y^'-3y=0	20y^{\prime\:\prime\:}-11y^{\prime\:}-3y=0
integral of 5sin^3(5xco)s^35x	\int\:5\sin^{3}(5xco)s^{3}5xdx
integral from 9 to 10 of 1/((x-9)^{5/4)}	\int\:_{9}^{10}\frac{1}{(x-9)^{\frac{5}{4}}}dx
derivative of x/2-tan(x)	\frac{d}{dx}(\frac{x}{2}-\tan(x))
integral of sec(x)tan^3(x)	\int\:\sec(x)\tan^{3}(x)dx
limit as x approaches 3 of-x+2	\lim\:_{x\to\:3}(-x+2)
integral from 2 to 5 of 1/(sqrt(x^2-4))	\int\:_{2}^{5}\frac{1}{\sqrt{x^{2}-4}}dx
integral of (x^5)/((x^2+4)^2)	\int\:\frac{x^{5}}{(x^{2}+4)^{2}}dx
derivative of 6x^3-4x^2+5x	\frac{d}{dx}(6x^{3}-4x^{2}+5x)
tangent of f(x)=(9x)/(x+4),\at x=8	tangent\:f(x)=\frac{9x}{x+4},\at\:x=8
integral of-1/4 sin(2x)	\int\:-\frac{1}{4}\sin(2x)dx
derivative of f(x)=(6x)/(x+6)	derivative\:f(x)=\frac{6x}{x+6}
derivative of ln(3x^2+5)	\frac{d}{dx}(\ln(3x^{2}+5))
36y^{''}-12y^'+y=0	36y^{\prime\:\prime\:}-12y^{\prime\:}+y=0
limit as x approaches 0+of x^2-ln(x)	\lim\:_{x\to\:0+}(x^{2}-\ln(x))
derivative of sqrt((x-4^3))	\frac{d}{dx}(\sqrt{(x-4)^{3}})
derivative of f(x)=(log_{9}(x))/(7+x^9)	derivative\:f(x)=\frac{\log_{9}(x)}{7+x^{9}}
derivative of g(x)=9e^xsqrt(x)	derivative\:g(x)=9e^{x}\sqrt{x}
derivative of (x^2/(1+2tan(x)))	\frac{d}{dx}(\frac{x^{2}}{1+2\tan(x)})
(\partial)/(\partial x)((x-y)/(3xy+2))	\frac{\partial\:}{\partial\:x}(\frac{x-y}{3xy+2})
integral of (2+ln(x))/(xln(x))	\int\:\frac{2+\ln(x)}{x\ln(x)}dx
tangent of y=3x^2+3x	tangent\:y=3x^{2}+3x
integral from 2 to infinity of 9/(x^2)	\int\:_{2}^{\infty\:}\frac{9}{x^{2}}dx
integral of 5xln(x^3)	\int\:5x\ln(x^{3})dx
area e^x,e^{-2x},x=ln(5)	area\:e^{x},e^{-2x},x=\ln(5)
integral of 28x^3-15x^2+8x	\int\:28x^{3}-15x^{2}+8xdx
derivative of (x-7)/(-5x-10)	derivative\:\frac{x-7}{-5x-10}
derivative of x^nln(x)	\frac{d}{dx}(x^{n}\ln(x))
inverse oflaplace 9/((s+3)^2)	inverselaplace\:\frac{9}{(s+3)^{2}}
limit as x approaches 4 of e^4-x	\lim\:_{x\to\:4}(e^{4}-x)
derivative of-4/5 e^{(2/3 x})	\frac{d}{dx}(-\frac{4}{5}e^{(\frac{2}{3}x)})
derivative of (1+x^2sin(x)^4)	\frac{d}{dx}((1+x^{2}\sin(x))^{4})
integral of (2x+7)/((2x^2+14x)^4)	\int\:\frac{2x+7}{(2x^{2}+14x)^{4}}dx
integral of sin(x)(1+cos(x))^4	\int\:\sin(x)(1+\cos(x))^{4}dx
(\partial)/(\partial y)(x^2+y^2-z^2)	\frac{\partial\:}{\partial\:y}(x^{2}+y^{2}-z^{2})
laplacetransform e^{-t}((e^t+e^{-t})/2)	laplacetransform\:e^{-t}(\frac{e^{t}+e^{-t}}{2})
tangent of f(x)=(25x^3)/3+10x^2+4x-7	tangent\:f(x)=\frac{25x^{3}}{3}+10x^{2}+4x-7
limit as n approaches infinity of 4n	\lim\:_{n\to\:\infty\:}(4n)
(\partial)/(\partial x)(2x^{1/2}y^{1/3})	\frac{\partial\:}{\partial\:x}(2x^{\frac{1}{2}}y^{\frac{1}{3}})
y^'= y/2	y^{\prime\:}=\frac{y}{2}
derivative of-1/(ln(10x^2))	\frac{d}{dx}(-\frac{1}{\ln(10)x^{2}})
(x-2)e^{(-2y)}=(dy)/(dx)	(x-2)e^{(-2y)}=\frac{dy}{dx}
derivative of f(x)=sin(arcsin(6x))	derivative\:f(x)=\sin(\arcsin(6x))
integral of 1/(\frac{16x^2){3}-25}	\int\:\frac{1}{\frac{16x^{2}}{3}-25}dx
f(x)=-3sin(x)	f(x)=-3\sin(x)
integral from 0 to 3 of (x^3-6x)	\int\:_{0}^{3}(x^{3}-6x)dx
integral of 1/2 (e^x-1)	\int\:\frac{1}{2}(e^{x}-1)dx
limit as x approaches 0 of (\|x\|)/x	\lim\:_{x\to\:0}(\frac{\left\|x\right\|}{x})
limit as x approaches 2 of sqrt(x+2)	\lim\:_{x\to\:2}(\sqrt{x+2})
derivative of f(x)= 1/(x-4)	derivative\:f(x)=\frac{1}{x-4}
(d^3)/(dx^3)(2/(x^2))	\frac{d^{3}}{dx^{3}}(\frac{2}{x^{2}})
(\partial)/(\partial x)(2xe^{-y})	\frac{\partial\:}{\partial\:x}(2xe^{-y})
y^'+6y=60,y(1)=60	y^{\prime\:}+6y=60,y(1)=60
integral of 1/(1-tan^2(x))	\int\:\frac{1}{1-\tan^{2}(x)}dx
(dy)/(dx)=(x+y+2)/(x+y-4)	\frac{dy}{dx}=\frac{x+y+2}{x+y-4}
limit as x approaches 0 of x^2+2	\lim\:_{x\to\:0}(x^{2}+2)
derivative of cos(2x2)	\frac{d}{dx}(\cos(2x)2)
integral from-3 to-2 of 2x(4-x^2)^3	\int\:_{-3}^{-2}2x(4-x^{2})^{3}dx
(d^2)/(dx^2)(1/(1+x^2))	\frac{d^{2}}{dx^{2}}(\frac{1}{1+x^{2}})
integral of 1/((3-x)sqrt(2-x))	\int\:\frac{1}{(3-x)\sqrt{2-x}}dx
(\partial)/(\partial y)(x^2+xy+y^2+y)	\frac{\partial\:}{\partial\:y}(x^{2}+xy+y^{2}+y)
derivative of f(x)=(3x^3+1)^2	derivative\:f(x)=(3x^{3}+1)^{2}
derivative of f(x)=sqrt(sin(x))	derivative\:f(x)=\sqrt{\sin(x)}
limit as x approaches-8-of x^2+2/(x+8)	\lim\:_{x\to\:-8-}(x^{2}+\frac{2}{x+8})
integral of tan^2(xse)c^2x	\int\:\tan^{2}(xse)c^{2}xdx
integral of 4x^3-3x+5	\int\:4x^{3}-3x+5dx
derivative of sin^4(x+cos^4(x))	\frac{d}{dx}(\sin^{4}(x)+\cos^{4}(x))
laplacetransform 2cos(2t)	laplacetransform\:2\cos(2t)
y^{''}+8y^'+25y=0,y(3319)=-3,y^'(3319)=1	y^{\prime\:\prime\:}+8y^{\prime\:}+25y=0,y(3319)=-3,y^{\prime\:}(3319)=1
integral of 1/((x^2-a^2))	\int\:\frac{1}{(x^{2}-a^{2})}dx
derivative of x^2(20-x^3)	\frac{d}{dx}(x^{2}(20-x)^{3})
integral of (5x+6)/((x-2)(3x+1)^2)	\int\:\frac{5x+6}{(x-2)(3x+1)^{2}}dx
derivative of f(y)=e^{tan(θ)}	derivative\:f(y)=e^{\tan(θ)}
(dy)/(dx)=(y+4)/(2-y)	\frac{dy}{dx}=\frac{y+4}{2-y}
(dq)/(dt)=k(q-70)	\frac{dq}{dt}=k(q-70)
derivative of 6^{-x}	\frac{d}{dx}(6^{-x})
derivative of x^3	derivative\:x^{3}
limit as x approaches 0+of (csc(2x))/x	\lim\:_{x\to\:0+}(\frac{\csc(2x)}{x})
y^{''}-y=0,y(0)=2	y^{\prime\:\prime\:}-y=0,y(0)=2
area x+y=-3,x+9=y^2	area\:x+y=-3,x+9=y^{2}
derivative of cos(x-pi/2)	\frac{d}{dx}(\cos(x-\frac{π}{2}))
derivative of (e^{5x})/(x^{20)}	derivative\:\frac{e^{5x}}{x^{20}}
tangent of y=3x^{1/2}+x^{3/2}	tangent\:y=3x^{\frac{1}{2}}+x^{\frac{3}{2}}
derivative of-6x(sin(x)+cos(x))	derivative\:-6x(\sin(x)+\cos(x))
sin(2x)dx+cos(8y)dy=0,y(pi^2)=pi^8	\sin(2x)dx+\cos(8y)dy=0,y(π^{2})=π^{8}
integral of 3sec(2x)	\int\:3\sec(2x)dx
derivative of f(4)=-7x^2+2x	derivative\:f(4)=-7x^{2}+2x
derivative of arctan((3x-8/(x^3)))	\frac{d}{dx}(\arctan(\frac{3x-8}{x^{3}}))
limit as x approaches infinity of x^6	\lim\:_{x\to\:\infty\:}(x^{6})
(\partial)/(\partial y)(sqrt(2+x^2+y^2))	\frac{\partial\:}{\partial\:y}(\sqrt{2+x^{2}+y^{2}})
maclaurin xsin(-2x),\at pi	maclaurin\:x\sin(-2x),\at\:π
limit as x approaches 0 of x/(x^2+6x)	\lim\:_{x\to\:0}(\frac{x}{x^{2}+6x})
integral of t+8	\int\:t+8dt
integral of x^3+x^2	\int\:x^{3}+x^{2}dx
derivative of 4-sqrt(x^2+y^2)	\frac{d}{dx}(4-\sqrt{x^{2}+y^{2}})
integral of ((12x^4+3x^2+6ax)/(2x))	\int\:(\frac{12x^{4}+3x^{2}+6ax}{2x})dx
limit as x approaches 3+of 7/(x-3)	\lim\:_{x\to\:3+}(\frac{7}{x-3})
integral of (2x+4)/(x^2)	\int\:\frac{2x+4}{x^{2}}dx

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