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y^'+y=e^{9t},y(0)=-1	y^{\prime\:}+y=e^{9t},y(0)=-1
limit as x approaches 2 of (x+3)/(x+2)	\lim\:_{x\to\:2}(\frac{x+3}{x+2})
(\partial)/(\partial y)(xy^3+4ye^x-2y^2)	\frac{\partial\:}{\partial\:y}(xy^{3}+4ye^{x}-2y^{2})
(\partial)/(\partial y)(ln((y/x)^2))	\frac{\partial\:}{\partial\:y}(\ln((\frac{y}{x})^{2}))
tangent of f(x)=-3x^3-2x^2-x+3,\at x=-1	tangent\:f(x)=-3x^{3}-2x^{2}-x+3,\at\:x=-1
integral of x/((1-x^2)^2)	\int\:\frac{x}{(1-x^{2})^{2}}dx
integral from 1 to 2 of sin(x)+tan(x)	\int\:_{1}^{2}\sin(x)+\tan(x)dx
sum from n=2 to infinity of n/(\sqrt[3]{n)}	\sum\:_{n=2}^{\infty\:}\frac{n}{\sqrt[3]{n}}
integral of (x-1)(6x-5)	\int\:(x-1)(6x-5)dx
derivative of sin^2(2x+5)	\frac{d}{dx}(\sin^{2}(2x+5))
derivative of ((x-7/(x+2))^3)	\frac{d}{dx}((\frac{x-7}{x+2})^{3})
integral of 1/(sqrt(x)-3\sqrt[3]{x)}	\int\:\frac{1}{\sqrt{x}-3\sqrt[3]{x}}dx
derivative of y=(8-xe^x)/(x+e^x)	derivative\:y=\frac{8-xe^{x}}{x+e^{x}}
(\partial)/(\partial x)((2F(V,x,P))/(V^2xP))	\frac{\partial\:}{\partial\:x}(\frac{2F(V,x,P)}{V^{2}xP})
(d^3)/(dx^3)(5/x)	\frac{d^{3}}{dx^{3}}(\frac{5}{x})
derivative of y=(3x^6-2x^4)^4	derivative\:y=(3x^{6}-2x^{4})^{4}
(\partial)/(\partial y)(e^{xyz^9}yz^9)	\frac{\partial\:}{\partial\:y}(e^{xyz^{9}}yz^{9})
integral of 2e^4	\int\:2e^{4}dx
25(d^2y)/(dx^2)-10(dy)/(dx)+y=0	25\frac{d^{2}y}{dx^{2}}-10\frac{dy}{dx}+y=0
sum from n=0 to infinity of n/(3n+1)	\sum\:_{n=0}^{\infty\:}\frac{n}{3n+1}
limit as x approaches 5-of ln(5-x)	\lim\:_{x\to\:5-}(\ln(5-x))
limit as x approaches 0 of 3x^n*sin(2/x)	\lim\:_{x\to\:0}(3x^{n}\cdot\:\sin(\frac{2}{x}))
(dy)/(dx)=5e^{x-y}	\frac{dy}{dx}=5e^{x-y}
integral of 7/(sqrt(x^2-12x+34))	\int\:\frac{7}{\sqrt{x^{2}-12x+34}}dx
slope of (-4,3),(-2,1)	slope\:(-4,3),(-2,1)
limit as x approaches 7-of (9x)/(x-7)	\lim\:_{x\to\:7-}(\frac{9x}{x-7})
(\partial)/(\partial x)(tan^2(x))	\frac{\partial\:}{\partial\:x}(\tan^{2}(x))
derivative of e^{-x}sin(x)	derivative\:e^{-x}\sin(x)
limit as x approaches infinity of (4x+1)/(12x^2-7)	\lim\:_{x\to\:\infty\:}(\frac{4x+1}{12x^{2}-7})
integral of 1/(y+3)	\int\:\frac{1}{y+3}dy
taylor sin(x),0.5	taylor\:\sin(x),0.5
(3x+ye^{y/x})dx-xe^{y/x}dy=0,y(1)=6	(3x+ye^{\frac{y}{x}})dx-xe^{\frac{y}{x}}dy=0,y(1)=6
(dy)/(dt)=csc(y)	\frac{dy}{dt}=\csc(y)
limit as x approaches 3 of x+1x+2	\lim\:_{x\to\:3}(x+1x+2)
integral of xcos(58x)	\int\:x\cos(58x)dx
integral of 1/(sqrt(x^2-4x+40))	\int\:\frac{1}{\sqrt{x^{2}-4x+40}}dx
(\partial)/(\partial x)(cos^3(1-5x^2))	\frac{\partial\:}{\partial\:x}(\cos^{3}(1-5x^{2}))
(dy)/(dx)=5y+1	\frac{dy}{dx}=5y+1
derivative of ((x^2+8)/(x^2-8))^3	derivative\:(\frac{x^{2}+8}{x^{2}-8})^{3}
integral of 1/(36e^{-8x)+e^{8x}}	\int\:\frac{1}{36e^{-8x}+e^{8x}}dx
(\partial)/(\partial x)(ze^{x+y}-xy)	\frac{\partial\:}{\partial\:x}(ze^{x+y}-xy)
derivative of (x+1(x+1-1/(x+2)))	\frac{d}{dx}((x+1)(x+1-\frac{1}{x+2}))
integral from 0 to pi of 3sin^4(3t)	\int\:_{0}^{π}3\sin^{4}(3t)dt
inverse oflaplace (15)/((s+10)(s+11))	inverselaplace\:\frac{15}{(s+10)(s+11)}
integral from 0 to 2.8 of 0.2x	\int\:_{0}^{2.8}0.2xdx
derivative of (4pir^3)/3	derivative\:\frac{4πr^{3}}{3}
partialfraction (x^3)/(x+1)	partialfraction\:\frac{x^{3}}{x+1}
integral of 1/(x^p)	\int\:\frac{1}{x^{p}}dx
derivative of-4xe^{-2x^2}	\frac{d}{dx}(-4xe^{-2x^{2}})
integral of (11)/(x^2+1)	\int\:\frac{11}{x^{2}+1}dx
integral of sin(2x-pi/2)	\int\:\sin(2x-\frac{π}{2})dx
integral of (a^2-x^2)^{3/2}	\int\:(a^{2}-x^{2})^{\frac{3}{2}}dx
derivative of log_{5}(sqrt(x^2-4))	derivative\:\log_{5}(\sqrt{x^{2}-4})
d/(dθ)(5sin(2θ))	\frac{d}{dθ}(5\sin(2θ))
y^{''}+3y=0	y^{\prime\:\prime\:}+3y=0
integral of (x^2+2x+3)/(x^3-x)	\int\:\frac{x^{2}+2x+3}{x^{3}-x}dx
integral from 2 to 3 of 1/(sqrt(x-1))	\int\:_{2}^{3}\frac{1}{\sqrt{x-1}}dx
limit as x approaches-4 of 6x+11	\lim\:_{x\to\:-4}(6x+11)
derivative of x^2*tan(1/x)	\frac{d}{dx}(x^{2}\cdot\:\tan(\frac{1}{x}))
limit as x approaches 0 of 1/(cos(2x))	\lim\:_{x\to\:0}(\frac{1}{\cos(2x)})
integral from 0 to L of 0	\int\:_{0}^{L}0dx
limit as x approaches 3 of (x^2-1)/(x+1)	\lim\:_{x\to\:3}(\frac{x^{2}-1}{x+1})
derivative of (2+x^5)^{2/3}	derivative\:(2+x^{5})^{\frac{2}{3}}
(dy)/(dx)= x/(2y^2),y(0)=1	\frac{dy}{dx}=\frac{x}{2y^{2}},y(0)=1
y^'-e^{9x+y}=0	y^{\prime\:}-e^{9x+y}=0
integral of 2cos^4(3x)	\int\:2\cos^{4}(3x)dx
y^{''}-4y^'+13y=sin(x)-e^{3x}+5	y^{\prime\:\prime\:}-4y^{\prime\:}+13y=\sin(x)-e^{3x}+5
tangent of (x^3-16x)^8	tangent\:(x^{3}-16x)^{8}
(\partial)/(\partial y)(2x^4y+4)	\frac{\partial\:}{\partial\:y}(2x^{4}y+4)
derivative of sec(0)	\frac{d}{dx}(\sec(0))
integral of (4-x^2)^{1/2}	\int\:(4-x^{2})^{\frac{1}{2}}dx
(dy)/(dt)=-3/(4sqrt(t))	\frac{dy}{dt}=-\frac{3}{4\sqrt{t}}
(\partial)/(\partial x)(-(2x)/(3y))	\frac{\partial\:}{\partial\:x}(-\frac{2x}{3y})
y^'=(2x)/(1+2y),y(2)=1	y^{\prime\:}=\frac{2x}{1+2y},y(2)=1
integral from 1 to infinity of e^{-st}	\int\:_{1}^{\infty\:}e^{-st}dt
inverse oflaplace 1/((s^2+1)(s^2+4))	inverselaplace\:\frac{1}{(s^{2}+1)(s^{2}+4)}
x((dy)/(dx))=((1-4y^2))/(3y)	x(\frac{dy}{dx})=\frac{(1-4y^{2})}{3y}
xsqrt(x)+x^2sqrt(x)	x\sqrt{x}+x^{2}\sqrt{x}
(\partial)/(\partial x)(5/x)	\frac{\partial\:}{\partial\:x}(\frac{5}{x})
limit as x approaches 0 of (1/2)^x	\lim\:_{x\to\:0}((\frac{1}{2})^{x})
d/(dt)(Ce^{3t}-e^2)	\frac{d}{dt}(Ce^{3t}-e^{2})
limit as x approaches 0 of-1/(2(2+x))	\lim\:_{x\to\:0}(-\frac{1}{2(2+x)})
sum from n=1 to infinity of (-1)^nn!x^n	\sum\:_{n=1}^{\infty\:}(-1)^{n}n!x^{n}
derivative of 1/(2sqrt(t+4i))+2j	derivative\:\frac{1}{2\sqrt{t+4i}}+2j
integral from 0 to 1 of arctan(4x)	\int\:_{0}^{1}\arctan(4x)dx
integral of 3/((x^2+2)^2)	\int\:\frac{3}{(x^{2}+2)^{2}}dx
integral of sin((npix)/5)	\int\:\sin(\frac{nπx}{5})dx
y^'= 1/x y	y^{\prime\:}=\frac{1}{x}y
limit as x approaches 0-of e^{1/x}	\lim\:_{x\to\:0-}(e^{\frac{1}{x}})
integral of (sqrt(36x^2-1))/x	\int\:\frac{\sqrt{36x^{2}-1}}{x}dx
derivative of (3x-2)^2(3-x^2)^2	derivative\:(3x-2)^{2}(3-x^{2})^{2}
integral of (16-x^2)	\int\:(16-x^{2})dx
limit as x approaches 3-of 2/(e^{3-x)}	\lim\:_{x\to\:3-}(\frac{2}{e^{3-x}})
integral of 1/(sqrt(a^2-x^2))	\int\:\frac{1}{\sqrt{a^{2}-x^{2}}}dx
tangent of y=g(x),\at x=2	tangent\:y=g(x),\at\:x=2
derivative of g(x)=(4-2x)e^n-4	derivative\:g(x)=(4-2x)e^{n}-4
integral of 1/(5+4sin(x))	\int\:\frac{1}{5+4\sin(x)}dx
derivative of 5^{2x}sqrt(x)	derivative\:5^{2x}\sqrt{x}
derivative of x^4+4^x	\frac{d}{dx}(x^{4}+4^{x})
limit as x approaches+0 of (e^{-5x}-1)/x	\lim\:_{x\to\:+0}(\frac{e^{-5x}-1}{x})

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