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t^2y^'+2ty-y^3=0	t^{2}y^{\prime\:}+2ty-y^{3}=0
derivative of ln\|t\|	derivative\:\ln\left\|t\right\|
derivative of ((x+1))/(x-1)	derivative\:\frac{(x+1)}{x-1}
tangent of y=sin(2x)ln(x^2),(1,0)	tangent\:y=\sin(2x)\ln(x^{2}),(1,0)
integral of sinh(x)cosh(x)	\int\:\sinh(x)\cosh(x)dx
taylor sqrt(1-x),0	taylor\:\sqrt{1-x},0
y^{''}+3y^'+2y=cos(2x)	y^{\prime\:\prime\:}+3y^{\prime\:}+2y=\cos(2x)
area y=x,y=x^3,[-1,2]	area\:y=x,y=x^{3},[-1,2]
integral of-e^{2t}	\int\:-e^{2t}dt
((3y^2-t^2))/(y^5)(dy)/(dt)+t/(2y^4)=0	\frac{(3y^{2}-t^{2})}{y^{5}}\frac{dy}{dt}+\frac{t}{2y^{4}}=0
y^'=y-x^2+1,y(0)=0	y^{\prime\:}=y-x^{2}+1,y(0)=0
integral of (b-x)/x	\int\:\frac{b-x}{x}dx
(\partial)/(\partial x)((e^y)/(x+y^3))	\frac{\partial\:}{\partial\:x}(\frac{e^{y}}{x+y^{3}})
integral of 1/(a-x)	\int\:\frac{1}{a-x}dx
integral of (x+2)sqrt(4x+x^2)	\int\:(x+2)\sqrt{4x+x^{2}}dx
integral of 1/(n^3)	\int\:\frac{1}{n^{3}}
limit as x approaches infinity of 3+4/x	\lim\:_{x\to\:\infty\:}(3+\frac{4}{x})
derivative of f(x)=(3/(sqrt(x)))	derivative\:f(x)=(\frac{3}{\sqrt{x}})
9(t+1)(dy)/(dt)-5y=20t	9(t+1)\frac{dy}{dt}-5y=20t
integral of u/(1-u)	\int\:\frac{u}{1-u}du
integral of x^{-3}ln(5x)	\int\:x^{-3}\ln(5x)dx
sum from n=6 to infinity of e^{5-2n}	\sum\:_{n=6}^{\infty\:}e^{5-2n}
derivative of (e^x+1/(e^x-1))	\frac{d}{dx}(\frac{e^{x}+1}{e^{x}-1})
derivative of f(x)=9x^8e^x+e^xx^9	derivative\:f(x)=9x^{8}e^{x}+e^{x}x^{9}
integral from 0 to 1 of x^2ln(x)	\int\:_{0}^{1}x^{2}\ln(x)dx
integral from 0 to N of e^{-st}e^{-3t}	\int\:_{0}^{N}e^{-st}e^{-3t}dt
derivative of 1/0	\frac{d}{dx}(\frac{1}{0})
12x^2y+y^'=5x^2	12x^{2}y+y^{\prime\:}=5x^{2}
derivative of f(x)=sqrt(cos(2x))	derivative\:f(x)=\sqrt{\cos(2x)}
(\partial)/(\partial x)(cos(xy)-1-sin(y))	\frac{\partial\:}{\partial\:x}(\cos(xy)-1-\sin(y))
derivative of x^2+6x-16	\frac{d}{dx}(x^{2}+6x-16)
derivative of 6/((1-x)^3)	derivative\:\frac{6}{(1-x)^{3}}
limit as k approaches infinity of (-1)^k	\lim\:_{k\to\:\infty\:}((-1)^{k})
limit as x approaches infinity of 7x^2	\lim\:_{x\to\:\infty\:}(7x^{2})
(\partial)/(\partial y)(x*y)	\frac{\partial\:}{\partial\:y}(x\cdot\:y)
laplacetransform (2(t-2)^2)+10(t-2)+15	laplacetransform\:(2(t-2)^{2})+10(t-2)+15
integral of 1/(x(ln(x))^8)	\int\:\frac{1}{x(\ln(x))^{8}}dx
integral of (2+x+sqrt(x))/x	\int\:\frac{2+x+\sqrt{x}}{x}dx
(sec(x))^'	(\sec(x))^{\prime\:}
derivative of 0.334*sin(0.3494x-0.06988)	derivative\:0.334\cdot\:\sin(0.3494x-0.06988)
derivative of sqrt(6+sec(pix^2))	\frac{d}{dx}(\sqrt{6+\sec(π)x^{2}})
area sin(x),[0,pi]	area\:\sin(x),[0,π]
integral of e^{cos(3t)}sin(3t)	\int\:e^{\cos(3t)}\sin(3t)dt
limit as x approaches 1-of 3x^2-4x+4	\lim\:_{x\to\:1-}(3x^{2}-4x+4)
(dy)/(dx)=-((x+6))/(7y^2)	\frac{dy}{dx}=-\frac{(x+6)}{7y^{2}}
(dθ)/(dt)=40-2/5 (θ-15)	\frac{dθ}{dt}=40-\frac{2}{5}(θ-15)
y^{''}+4y^'=0,y(0)=1,y^'(0)=1	y^{\prime\:\prime\:}+4y^{\prime\:}=0,y(0)=1,y^{\prime\:}(0)=1
derivative of f(x)=(9x^2-15x)e^x	derivative\:f(x)=(9x^{2}-15x)e^{x}
integral of sin(x)cos(x)ln(sin(x))	\int\:\sin(x)\cos(x)\ln(\sin(x))dx
integral from 0 to 1 of sqrt(4-x^2)	\int\:_{0}^{1}\sqrt{4-x^{2}}dx
integral of 9/(x^4)	\int\:\frac{9}{x^{4}}dx
area 7x-x^2,2x	area\:7x-x^{2},2x
derivative of f(x)= 1/2 (x+1)^{-1/2}	derivative\:f(x)=\frac{1}{2}(x+1)^{-\frac{1}{2}}
derivative of e^{cos(3x)}	derivative\:e^{\cos(3x)}
y^{''}+4y^'-y=0	y^{\prime\:\prime\:}+4y^{\prime\:}-y=0
slope of (3.5)(-1.5)	slope\:(3.5)(-1.5)
laplacetransform t^n	laplacetransform\:t^{n}
(x+2y)dy-ydx=0	(x+2y)dy-ydx=0
limit as x approaches 2 of x^3+2x-5	\lim\:_{x\to\:2}(x^{3}+2x-5)
(d^2)/(dx^2)(e^x-x^6)	\frac{d^{2}}{dx^{2}}(e^{x}-x^{6})
derivative of (4x)/(7-cot(x))	derivative\:\frac{4x}{7-\cot(x)}
derivative of f(x)=9e^xcos(x)	derivative\:f(x)=9e^{x}\cos(x)
integral of sin(x)(cos(2x))	\int\:\sin(x)(\cos(2x))dx
sum from n=1 to infinity of 1/(1+4^n)	\sum\:_{n=1}^{\infty\:}\frac{1}{1+4^{n}}
sum from n=0 to infinity of a^n	\sum\:_{n=0}^{\infty\:}a^{n}
derivative of (5x^3-2x^2(6x^3))	\frac{d}{dx}((5x^{3}-2x^{2})(6x^{3}))
derivative of 1-(x^2/(16))	\frac{d}{dx}(1-\frac{x^{2}}{16})
laplacetransform 2t^2-3t+3	laplacetransform\:2t^{2}-3t+3
limit as x approaches infinity of 5x^4	\lim\:_{x\to\:\infty\:}(5x^{4})
inverse oflaplace (1/(s+1)+3/2)/(s+2)	inverselaplace\:\frac{\frac{1}{s+1}+\frac{3}{2}}{s+2}
y^{''}+4y^'+5y=35e-4x,y(0)=-6,y^'(0)=1	y^{\prime\:\prime\:}+4y^{\prime\:}+5y=35e-4x,y(0)=-6,y^{\prime\:}(0)=1
(x^2+3)*(dy)/(dx)=xy	(x^{2}+3)\cdot\:\frac{dy}{dx}=xy
sum from n=1 to infinity of 5/(n^5)	\sum\:_{n=1}^{\infty\:}\frac{5}{n^{5}}
derivative of f(x)=(x^2-36)/(x-6)	derivative\:f(x)=\frac{x^{2}-36}{x-6}
derivative of (-1/(2(x+1)))	\frac{d}{dx}(\frac{-1}{2(x+1)})
integral of cos^2(3t)	\int\:\cos^{2}(3t)dt
(\partial)/(\partial x)((x+y)/(x^2+y^2))	\frac{\partial\:}{\partial\:x}(\frac{x+y}{x^{2}+y^{2}})
integral of (x^2+x-2)	\int\:(x^{2}+x-2)dx
derivative of arctan(1/2 x)	\frac{d}{dx}(\arctan(\frac{1}{2}x))
integral of (x+3)/(x^2+1)	\int\:\frac{x+3}{x^{2}+1}dx
(dy)/(dx)-2/x y=x^2-1	\frac{dy}{dx}-\frac{2}{x}y=x^{2}-1
maclaurin x^2cos(x^5)	maclaurin\:x^{2}\cos(x^{5})
integral of x/(x^2-9)	\int\:\frac{x}{x^{2}-9}dx
integral of (sin(x))/(cos^8(x))	\int\:\frac{\sin(x)}{\cos^{8}(x)}dx
integral from 0 to (3pi)/2 of 4\|sin(x)\|	\int\:_{0}^{\frac{3π}{2}}4\left\|\sin(x)\right\|dx
derivative of f(x)=x^2e^{-3x}	derivative\:f(x)=x^{2}e^{-3x}
derivative of x+sqrt(7x-3)	\frac{d}{dx}(x+\sqrt{7x-3})
taylor ((e^{2x}-1))/x	taylor\:\frac{(e^{2x}-1)}{x}
d/(dy)((2x)/y)	\frac{d}{dy}(\frac{2x}{y})
inverse oflaplace (s-3)/((s-4)(s+6))	inverselaplace\:\frac{s-3}{(s-4)(s+6)}
derivative of (3x^4-6x^3)	\frac{d}{dx}((3x^{4}-6x)^{3})
derivative of y=4e^xcos(x)	derivative\:y=4e^{x}\cos(x)
derivative of y=(ln(x))/x	derivative\:y=\frac{\ln(x)}{x}
(\partial)/(\partial x)(Asqrt(x/z))	\frac{\partial\:}{\partial\:x}(A\sqrt{\frac{x}{z}})
derivative of (3x-4/((5x+2)^3))	\frac{d}{dx}(\frac{3x-4}{(5x+2)^{3}})
integral from 0 to 3 of 1/(sqrt(36-x^2))	\int\:_{0}^{3}\frac{1}{\sqrt{36-x^{2}}}dx
derivative of f(x)=(6x+2)^3	derivative\:f(x)=(6x+2)^{3}
derivative of (x^4/4+8/9 x^3-x^2+3x-8)	\frac{d}{dx}(\frac{x^{4}}{4}+\frac{8}{9}x^{3}-x^{2}+3x-8)
limit as x approaches 0 of (x^3)/3	\lim\:_{x\to\:0}(\frac{x^{3}}{3})
derivative of-5x^4	\frac{d}{dx}(-5x^{4})

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