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taylor xe^{x^2},0	taylor\:xe^{x^{2}},0
integral of (21)/(4+25r^2)	\int\:\frac{21}{4+25r^{2}}dr
derivative of (-1)/((x-1)^2)	derivative\:\frac{-1}{(x-1)^{2}}
derivative of (x^4-2/(x^2-2))	\frac{d}{dx}(\frac{x^{4}-2}{x^{2}-2})
(\partial)/(\partial x)(6x^2y+6xy^3)	\frac{\partial\:}{\partial\:x}(6x^{2}y+6xy^{3})
limit as x approaches-5 of g(x)	\lim\:_{x\to\:-5}(g(x))
d/(d{x)}(({x})/(sqrt({x)^2+{y)^2+{z}^2}})	\frac{d}{d{x}}(\frac{{x}}{\sqrt{{x}^{2}+{y}^{2}+{z}^{2}}})
inverse oflaplace (s+1)/((s^2-2s+5))	inverselaplace\:\frac{s+1}{(s^{2}-2s+5)}
(\partial)/(\partial x)(xyz+xy^5+yz^5+zx^5)	\frac{\partial\:}{\partial\:x}(xyz+xy^{5}+yz^{5}+zx^{5})
area y=x^2-3,y=1	area\:y=x^{2}-3,y=1
integral of \sqrt[3]{e^{4x}+2e^{4x}}	\int\:\sqrt[3]{e^{4x}+2e^{4x}}dx
derivative of x^3-12xy+8y^3	\frac{d}{dx}(x^{3}-12xy+8y^{3})
integral of (x-1)(x+2)	\int\:(x-1)(x+2)dx
derivative of f(x)=5x^{4/5}-2x^{2/7}	derivative\:f(x)=5x^{\frac{4}{5}}-2x^{\frac{2}{7}}
derivative of 1/(x+5)	derivative\:\frac{1}{x+5}
integral of t(2t-3sqrt(t))	\int\:t(2t-3\sqrt{t})dt
(\partial)/(\partial z)(-xyz^2)	\frac{\partial\:}{\partial\:z}(-xyz^{2})
integral of x*\sqrt[4]{x^{11}}	\int\:x\cdot\:\sqrt[4]{x^{11}}dx
integral of 7sec^3(3x)	\int\:7\sec^{3}(3x)dx
integral of (8/3+4u^2)	\int\:(\frac{8}{3}+4u^{2})du
integral of 1/2 \sqrt[3]{x}	\int\:\frac{1}{2}\sqrt[3]{x}dx
(d^2)/(dx^2)(sqrt(1+x))	\frac{d^{2}}{dx^{2}}(\sqrt{1+x})
(\partial)/(\partial y)(cos(8x)sin(2y))	\frac{\partial\:}{\partial\:y}(\cos(8x)\sin(2y))
taylor x^4-3x^2+1	taylor\:x^{4}-3x^{2}+1
sum from n=0 to infinity of 1/(n^3+1)	\sum\:_{n=0}^{\infty\:}\frac{1}{n^{3}+1}
derivative of 7x^{1/5}(x^3-2)	derivative\:7x^{\frac{1}{5}}(x^{3}-2)
derivative of y^2(8-x)	\frac{d}{dx}(y^{2}(8-x))
x^2y^'=4x^2y^3-2xy	x^{2}y^{\prime\:}=4x^{2}y^{3}-2xy
sum from n=1 to infinity of ((3^n))/(n!)	\sum\:_{n=1}^{\infty\:}\frac{(3^{n})}{n!}
laplacetransform cos(4t)cos(6t)	laplacetransform\:\cos(4t)\cos(6t)
integral of 5sin^3(x)cos(x)	\int\:5\sin^{3}(x)\cos(x)dx
derivative of (3-x(2x^2-x))	\frac{d}{dx}((3-x)(2x^{2}-x))
derivative of e^tcos(t)-e^tsin(t)	derivative\:e^{t}\cos(t)-e^{t}\sin(t)
integral of (1-x)/(x^2+1)	\int\:\frac{1-x}{x^{2}+1}dx
(\partial)/(\partial x)(ln(x+sqrt(y)))	\frac{\partial\:}{\partial\:x}(\ln(x+\sqrt{y}))
y^'=e^{(y-x)}	y^{\prime\:}=e^{(y-x)}
((q^4)/4+(2q^3)/3-(11q^2)/2+12q)^'	(\frac{q^{4}}{4}+\frac{2q^{3}}{3}-\frac{11q^{2}}{2}+12q)^{\prime\:}
4(1+x^2)(dy)/(dx)=2xy(y^4-1)	4(1+x^{2})\frac{dy}{dx}=2xy(y^{4}-1)
derivative of f(x)= 3/4 x	derivative\:f(x)=\frac{3}{4}x
derivative of f(x)=(arctan(8x))^2	derivative\:f(x)=(\arctan(8x))^{2}
e^{5y}y^'=x^3	e^{5y}y^{\prime\:}=x^{3}
integral of (5x+1)^{19}	\int\:(5x+1)^{19}dx
limit as x approaches 2+of x/(2-x)	\lim\:_{x\to\:2+}(\frac{x}{2-x})
tangent of y=e^{4x}	tangent\:y=e^{4x}
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
derivative of (1+2sin(x)cos(x))	\frac{d}{dx}((1+2\sin(x))\cos(x))
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

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