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y^{''}+y^'= 1/4 cos(3t)	y^{\prime\:\prime\:}+y^{\prime\:}=\frac{1}{4}\cos(3t)
(\partial)/(\partial x)(e^{2y-x})	\frac{\partial\:}{\partial\:x}(e^{2y-x})
partialfraction (x^2)/(x-1)	partialfraction\:\frac{x^{2}}{x-1}
integral of 5x^2sin(2x)	\int\:5x^{2}\sin(2x)dx
integral of cos^3(5x)	\int\:\cos^{3}(5x)dx
derivative of (x+2^{2/3})	\frac{d}{dx}((x+2)^{\frac{2}{3}})
y^{''}+4y^'=0,y(0)=1	y^{\prime\:\prime\:}+4y^{\prime\:}=0,y(0)=1
(\partial)/(\partial x)((x^4+x-y)^7)	\frac{\partial\:}{\partial\:x}((x^{4}+x-y)^{7})
integral of ln(3x+2)	\int\:\ln(3x+2)dx
derivative of sin^7(x)	derivative\:\sin^{7}(x)
integral of-2+12x-12x^2	\int\:-2+12x-12x^{2}dx
integral of (e^{8x})/(e^{8x)+4}	\int\:\frac{e^{8x}}{e^{8x}+4}dx
tangent of f(x)=x^2+3x-1,\at x=0	tangent\:f(x)=x^{2}+3x-1,\at\:x=0
limit as x approaches 0-of x*ln(x)	\lim\:_{x\to\:0-}(x\cdot\:\ln(x))
derivative of (6x+y/(x^2+y^2))	\frac{d}{dx}(\frac{6x+y}{x^{2}+y^{2}})
limit as x approaches 3 of (x-3)/(x^2-3)	\lim\:_{x\to\:3}(\frac{x-3}{x^{2}-3})
(\partial)/(\partial y)(((ye^x))/(xe^y))	\frac{\partial\:}{\partial\:y}(\frac{(ye^{x})}{xe^{y}})
f(x)=e^x-e^{-x}	f(x)=e^{x}-e^{-x}
laplacetransform f(t)=(t+1)^3	laplacetransform\:f(t)=(t+1)^{3}
slope of (-1,-1),(1,-4)	slope\:(-1,-1),(1,-4)
integral of x^2sin(θx)	\int\:x^{2}\sin(θx)dx
integral from 0 to 5 of pi(sqrt(x-1))^2	\int\:_{0}^{5}π(\sqrt{x-1})^{2}dx
2y(dy}{dx}+\frac{(1+y^2))/x =1	2y\frac{dy}{dx}+\frac{(1+y^{2})}{x}=1
integral of sin(pi)xcos(pi)x	\int\:\sin(π)x\cos(π)xdx
limit as x approaches 5 of-x^2+x-5	\lim\:_{x\to\:5}(-x^{2}+x-5)
integral of (3x^2)/(x^2+1)	\int\:\frac{3x^{2}}{x^{2}+1}dx
(dy)/(dx)-1/x y=4	\frac{dy}{dx}-\frac{1}{x}y=4
d/(dt)(e^{-t^2})	\frac{d}{dt}(e^{-t^{2}})
derivative of f(t)=t^9sin(t)	derivative\:f(t)=t^{9}\sin(t)
integral from 1 to e of 4x^3ln(x)	\int\:_{1}^{e}4x^{3}\ln(x)dx
derivative of-1/2 x	derivative\:-\frac{1}{2}x
(\partial)/(\partial x)(x^3e^x)	\frac{\partial\:}{\partial\:x}(x^{3}e^{x})
sum from n=0 to infinity of (9^n)/(n!)	\sum\:_{n=0}^{\infty\:}\frac{9^{n}}{n!}
integral of 3/2 e^{-x}cos(2x)	\int\:\frac{3}{2}e^{-x}\cos(2x)dx
integral of x^6e^{x^7}	\int\:x^{6}e^{x^{7}}dx
derivative of 1^2	\frac{d}{dx}(1^{2})
integral of 2xe^y+2xy^{-1}+y^{-3}	\int\:2xe^{y}+2xy^{-1}+y^{-3}
inverse oflaplace (-2s+6)/(s^2+4)	inverselaplace\:\frac{-2s+6}{s^{2}+4}
limit as x approaches 2 of ln(x/(x-2))	\lim\:_{x\to\:2}(\ln(\frac{x}{x-2}))
y'=3y*(y-2)	y\prime\:=3y\cdot\:(y-2)
limit as x approaches pi of (sin(x))/(1-\frac{x^2){pi^2}}	\lim\:_{x\to\:π}(\frac{\sin(x)}{1-\frac{x^{2}}{π^{2}}})
limit as x approaches infinity of 9x^2e^{-x}	\lim\:_{x\to\:\infty\:}(9x^{2}e^{-x})
((x^3)/6+1/(2x))^'	(\frac{x^{3}}{6}+\frac{1}{2x})^{\prime\:}
integral from 6 to infinity of 1/((x-5)^{3/2)}	\int\:_{6}^{\infty\:}\frac{1}{(x-5)^{\frac{3}{2}}}dx
integral from 0 to 5 of sqrt(x^2+25)	\int\:_{0}^{5}\sqrt{x^{2}+25}dx
derivative of y=sin(xy)	derivative\:y=\sin(xy)
(\partial)/(\partial t)(sqrt(x)ln(t))	\frac{\partial\:}{\partial\:t}(\sqrt{x}\ln(t))
integral of cos^3(x/(10))	\int\:\cos^{3}(\frac{x}{10})dx
integral of sin^4(4x)	\int\:\sin^{4}(4x)dx
derivative of (x^2+y^2^2)	\frac{d}{dx}((x^{2}+y^{2})^{2})
xy^'-y^'-(x-1)cos(x)+y=0	xy^{\prime\:}-y^{\prime\:}-(x-1)\cos(x)+y=0
sum from n=1 to infinity of n/((n+1)3^n)	\sum\:_{n=1}^{\infty\:}\frac{n}{(n+1)3^{n}}
integral of cos^2(x)*sin(2x)	\int\:\cos^{2}(x)\cdot\:\sin(2x)dx
integral of (-x-1)/(2(x^2+1))	\int\:\frac{-x-1}{2(x^{2}+1)}dx
integral of 20cot^4(x)	\int\:20\cot^{4}(x)dx
(\partial)/(\partial x)(10x^3+3x^2y-3y^5)	\frac{\partial\:}{\partial\:x}(10x^{3}+3x^{2}y-3y^{5})
y^{''}-11y^'+30y=20e^t	y^{\prime\:\prime\:}-11y^{\prime\:}+30y=20e^{t}
integral from 0 to 2 of (sin(x)+e^x)	\int\:_{0}^{2}(\sin(x)+e^{x})dx
integral of (x^2(x^3-2x+1))	\int\:(x^{2}(x^{3}-2x+1))dx
derivative of (8x^2+8x+6/(sqrt(x)))	\frac{d}{dx}(\frac{8x^{2}+8x+6}{\sqrt{x}})
integral of 1/(x^3+x^2)	\int\:\frac{1}{x^{3}+x^{2}}dx
integral of (29x^4+29x^3+2x+1)/(x^2+x)	\int\:\frac{29x^{4}+29x^{3}+2x+1}{x^{2}+x}dx
derivative of y=(sin(x/2)-cos(x/2))^2	\frac{d}{dx}y=(\sin(\frac{x}{2})-\cos(\frac{x}{2}))^{2}
integral of (5-x)/(2x^2+x-1)	\int\:\frac{5-x}{2x^{2}+x-1}dx
(\partial)/(\partial x)(arcot(y/x))	\frac{\partial\:}{\partial\:x}(ar\cot(\frac{y}{x}))
integral from 0 to 1 of x(4\sqrt[3]{x}+7\sqrt[4]{x})	\int\:_{0}^{1}x(4\sqrt[3]{x}+7\sqrt[4]{x})dx
derivative of y=e^{2e^x}	derivative\:y=e^{2e^{x}}
limit as x approaches 3 of x^2-x-6	\lim\:_{x\to\:3}(x^{2}-x-6)
integral from 1 to 8 of 7(ln(x))/(x^2)	\int\:_{1}^{8}7\frac{\ln(x)}{x^{2}}dx
inverse oflaplace (s-2)/(s^2-7s+6)	inverselaplace\:\frac{s-2}{s^{2}-7s+6}
derivative of x^{-6}+e^{2x}	derivative\:x^{-6}+e^{2x}
(dy)/(dx)+2xy=x	\frac{dy}{dx}+2xy=x
integral of 1/24 x^2	\int\:\frac{1}{24}x^{2}dx
(\partial)/(\partial x)(-x+6y)	\frac{\partial\:}{\partial\:x}(-x+6y)
derivative of ln(5+ln(x))	\frac{d}{dx}(\ln(5+\ln(x)))
limit as x approaches infinity of 5e^x	\lim\:_{x\to\:\infty\:}(5e^{x})
(\partial)/(\partial x)(7x^{6y})	\frac{\partial\:}{\partial\:x}(7x^{6y})
(\partial)/(\partial b)((ax+b-y)^2)	\frac{\partial\:}{\partial\:b}((ax+b-y)^{2})
integral of e^{(-x)/3}cos(5x)	\int\:e^{\frac{-x}{3}}\cos(5x)dx
limit as x approaches 0 of (11sin(8x))/x	\lim\:_{x\to\:0}(\frac{11\sin(8x)}{x})
slope of 7y^3+9x^8=5y+11x,(1,1)	slope\:7y^{3}+9x^{8}=5y+11x,(1,1)
derivative of x^4+5x^2-x	derivative\:x^{4}+5x^{2}-x
derivative of f(x)=8e^e	derivative\:f(x)=8e^{e}
derivative of x^2e^x-2xe^x+6e^x	derivative\:x^{2}e^{x}-2xe^{x}+6e^{x}
integral from 2 to 2x of sqrt(15-t)	\int\:_{2}^{2x}\sqrt{15-t}dt
derivative of y=x^5cos(x)	derivative\:y=x^{5}\cos(x)
derivative of a(x+1(x-r))	\frac{d}{dx}(a(x+1)(x-r))
ty^'+y=0	ty^{\prime\:}+y=0
(dx)/(dt)=x-4	\frac{dx}{dt}=x-4
integral from 1 to infinity of x/(x^4+1)	\int\:_{1}^{\infty\:}\frac{x}{x^{4}+1}dx
normal of y=(1+2x)/(3+x),(2,1)	normal\:y=\frac{1+2x}{3+x},(2,1)
(\partial)/(\partial x)(sqrt(5x^2+4y^2))	\frac{\partial\:}{\partial\:x}(\sqrt{5x^{2}+4y^{2}})
integral of (x^4+1)e^{x^5+5x}	\int\:(x^{4}+1)e^{x^{5}+5x}dx
sum from n=1 to infinity of 1/((2n)!)	\sum\:_{n=1}^{\infty\:}\frac{1}{(2n)!}
limit as x approaches 0 of (1-6x)^{1/x}	\lim\:_{x\to\:0}((1-6x)^{\frac{1}{x}})
tangent of f(x)=4sec(x),\at x= pi/3	tangent\:f(x)=4\sec(x),\at\:x=\frac{π}{3}
integral of k/(x^3)	\int\:\frac{k}{x^{3}}dx
derivative of tan(3x^4)	\frac{d}{dx}(\tan(3x^{4}))
(sec(x)tan(x))^'	(\sec(x)\tan(x))^{\prime\:}
derivative of (3(7x^2-2x+6))/(4x^{5/2)}	derivative\:\frac{3(7x^{2}-2x+6)}{4x^{\frac{5}{2}}}

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