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y^'=((3x^2-e^x))/(2y-5)	y^{\prime\:}=\frac{(3x^{2}-e^{x})}{2y-5}
y^{''}+11y^'+30y=0,y(0)=1,y^'(0)=0	y^{\prime\:\prime\:}+11y^{\prime\:}+30y=0,y(0)=1,y^{\prime\:}(0)=0
integral from 1 to 4 of 3xe^x	\int\:_{1}^{4}3xe^{x}dx
integral from 1 to 5 of (ln(R))/(R^2)	\int\:_{1}^{5}\frac{\ln(R)}{R^{2}}dR
(\partial)/(\partial x)(-1/(x^2))	\frac{\partial\:}{\partial\:x}(-\frac{1}{x^{2}})
(dy)/(dx)=(x+y-5)^2	\frac{dy}{dx}=(x+y-5)^{2}
integral of sqrt(1+y^2)	\int\:\sqrt{1+y^{2}}dy
derivative of 2xy+x^2-1	\frac{d}{dx}(2xy+x^{2}-1)
tangent of ((x^4+1))/(e^x+2x+1)	tangent\:\frac{(x^{4}+1)}{e^{x}+2x+1}
derivative of 12x^3-24x^2	derivative\:12x^{3}-24x^{2}
f(I)=I^{22}	f(I)=I^{22}
integral of (x^2+8)/(x^4-x^3-2x^2)	\int\:\frac{x^{2}+8}{x^{4}-x^{3}-2x^{2}}dx
limit as x approaches+x of (x^2-1)/(x-1)	\lim\:_{x\to\:+x}(\frac{x^{2}-1}{x-1})
derivative of f(x)= 7/((x^2-10)^4)	derivative\:f(x)=\frac{7}{(x^{2}-10)^{4}}
derivative of f(x)= 4/x-16sec(x)	derivative\:f(x)=\frac{4}{x}-16\sec(x)
integral of-3x^4-6x^2+8	\int\:-3x^{4}-6x^{2}+8dx
limit as x approaches 0 of xcsc(pix)	\lim\:_{x\to\:0}(x\csc(πx))
limit as x approaches 1/3 of x^4	\lim\:_{x\to\:\frac{1}{3}}(x^{4})
limit as x approaches+0+of x^{sqrt(x)}	\lim\:_{x\to\:+0+}(x^{\sqrt{x}})
limit as (x,y) approaches (0,0) of 1	\lim\:_{(x,y)\to\:(0,0)}(1)
limit as x approaches 3-of-x^2+6x-5	\lim\:_{x\to\:3-}(-x^{2}+6x-5)
area y=x^2-3x,y=3x+7	area\:y=x^{2}-3x,y=3x+7
taylor cot(x)	taylor\:\cot(x)
integral of-2e^{3x}	\int\:-2e^{3x}dx
integral of 3/2 ln\|x^3\|+1	\int\:\frac{3}{2}\ln\left\|x^{3}\right\|+1dx
derivative of f(x)= x/(x-1)	derivative\:f(x)=\frac{x}{x-1}
tangent of f(x)=3-5x+2x^2,(-9,210)	tangent\:f(x)=3-5x+2x^{2},(-9,210)
(x+y)^2dx+(2xy+x^2-9)dy=0	(x+y)^{2}dx+(2xy+x^{2}-9)dy=0
limit as x approaches infinity of x/(2x)	\lim\:_{x\to\:\infty\:}(\frac{x}{2x})
(\partial)/(\partial x)(x/(2+y))	\frac{\partial\:}{\partial\:x}(\frac{x}{2+y})
f(t)=cos(ln(t))	f(t)=\cos(\ln(t))
xy^'-y= 5/2 xln(x)	xy^{\prime\:}-y=\frac{5}{2}x\ln(x)
implicit (dy)/(dx),3e^{xy}-x=0	implicit\:\frac{dy}{dx},3e^{xy}-x=0
integral of z^2	\int\:z^{2}dz
(\partial)/(\partial t)((x-ct)^4+(x+ct)^4)	\frac{\partial\:}{\partial\:t}((x-ct)^{4}+(x+ct)^{4})
integral of ((4x+2))/(x^3-x^2+2x)	\int\:\frac{(4x+2)}{x^{3}-x^{2}+2x}dx
y^'=2ty^2	y^{\prime\:}=2ty^{2}
inverse oflaplace (e^{-s})/((s+1)^2)	inverselaplace\:\frac{e^{-s}}{(s+1)^{2}}
integral of-e^{-x}x	\int\:-e^{-x}xdx
integral from 0 to 10 of f(x)	\int\:_{0}^{10}f(x)dx
integral of (x^4)/(sqrt(x^5+3))	\int\:\frac{x^{4}}{\sqrt{x^{5}+3}}dx
integral of sqrt(p)+4	\int\:\sqrt{p}+4dp
integral of x^3(2-x^2)^{12}	\int\:x^{3}(2-x^{2})^{12}dx
integral of 10x^9	\int\:10x^{9}dx
limit as x approaches 0 of-1	\lim\:_{x\to\:0}(-1)
tangent of e^{x^7}	tangent\:e^{x^{7}}
x^2y^{''}+xy^'+4=0	x^{2}y^{\prime\:\prime\:}+xy^{\prime\:}+4=0
y^{''}+7y^'-3y=0,y(0)=-3,y^'(0)=7	y^{\prime\:\prime\:}+7y^{\prime\:}-3y=0,y(0)=-3,y^{\prime\:}(0)=7
integral of (2x^{3/2})/3	\int\:\frac{2x^{\frac{3}{2}}}{3}dx
(dy)/(dx)=(x^2y^2)/(1+y)	\frac{dy}{dx}=\frac{x^{2}y^{2}}{1+y}
limit as x approaches 2-of 4x-5	\lim\:_{x\to\:2-}(4x-5)
derivative of y=2e^x-e^{x+1}+e^{2/3}-5pi^2	derivative\:y=2e^{x}-e^{x+1}+e^{\frac{2}{3}}-5π^{2}
laplacetransform 4t^2-5sin(3t)	laplacetransform\:4t^{2}-5\sin(3t)
integral from 0 to 5 of (3x-4)/(x+1)	\int\:_{0}^{5}\frac{3x-4}{x+1}dx
limit as x approaches 0-of 1/(x^2)-1/x	\lim\:_{x\to\:0-}(\frac{1}{x^{2}}-\frac{1}{x})
integral from 1 to 3 of e^{x^2}	\int\:_{1}^{3}e^{x^{2}}dx
integral from 1 to b of 1/((x+1)^2)	\int\:_{1}^{b}\frac{1}{(x+1)^{2}}dx
integral of 2e^{-4x}	\int\:2e^{-4x}dx
integral of sqrt((1-x)/x)	\int\:\sqrt{\frac{1-x}{x}}dx
tangent of y=e^{6x}cos(pix),(0,1)	tangent\:y=e^{6x}\cos(πx),(0,1)
(\partial)/(\partial x)(-3xy)	\frac{\partial\:}{\partial\:x}(-3xy)
integral of cos^4(5-x)sin(5-x)	\int\:\cos^{4}(5-x)\sin(5-x)dx
(dy)/(dx)=(3+y)/(1-2x),y(0)=0	\frac{dy}{dx}=\frac{3+y}{1-2x},y(0)=0
y^{''}-3y^'=-6x+4	y^{\prime\:\prime\:}-3y^{\prime\:}=-6x+4
area x^2-4x,x=0	area\:x^{2}-4x,x=0
derivative of (A+Bx+Cx^2/(x^2))	\frac{d}{dx}(\frac{A+Bx+Cx^{2}}{x^{2}})
derivative of sqrt(x)e^{xy}	\frac{d}{dx}(\sqrt{x}e^{xy})
(\partial)/(\partial x)(4e^x-2xe^y)	\frac{\partial\:}{\partial\:x}(4e^{x}-2xe^{y})
derivative of ln(u)	derivative\:\ln(u)
integral of (x^6)/(1+x^2)	\int\:\frac{x^{6}}{1+x^{2}}dx
integral of x(x^2-8)^3	\int\:x(x^{2}-8)^{3}dx
integral of sin^5(x)cot(x)	\int\:\sin^{5}(x)\cot(x)dx
derivative of (ln(t))/t	derivative\:\frac{\ln(t)}{t}
integral of (sqrt(x^2-256))/x	\int\:\frac{\sqrt{x^{2}-256}}{x}dx
area x=-3,x=4,y=e^{2x},y=2e^{-x}	area\:x=-3,x=4,y=e^{2x},y=2e^{-x}
derivative of x^msqrt(a^2-x^2)	\frac{d}{dx}(x^{m}\sqrt{a^{2}-x^{2}})
(\partial)/(\partial x)(x^2+8xy+17y^2-2y+1)	\frac{\partial\:}{\partial\:x}(x^{2}+8xy+17y^{2}-2y+1)
(\partial)/(\partial x)(sin(2t))	\frac{\partial\:}{\partial\:x}(\sin(2t))
integral of (-8x^7y^{-5}+6x^6y^{-4})	\int\:(-8x^{7}y^{-5}+6x^{6}y^{-4})dy
integral from 1 to t of (31)/(x^3)	\int\:_{1}^{t}\frac{31}{x^{3}}dx
limit as x approaches 0 of (ln^2(x))/x	\lim\:_{x\to\:0}(\frac{\ln^{2}(x)}{x})
integral of sec^2(t)+t(t^2+1)^3+t^2ln(t)	\int\:\sec^{2}(t)+t(t^{2}+1)^{3}+t^{2}\ln(t)dt
derivative of e^{sin(3x})	\frac{d}{dx}(e^{\sin(3x)})
y^'-2y=2-4x	y^{\prime\:}-2y=2-4x
(\partial)/(\partial x)((-18x)/((x-y)^4))	\frac{\partial\:}{\partial\:x}(\frac{-18x}{(x-y)^{4}})
f(x)=(100)/(x^5)	f(x)=\frac{100}{x^{5}}
derivative of (x-1\|x-1\|)	\frac{d}{dx}((x-1)\left\|x-1\right\|)
integral from 1 to 4 of 6sqrt(t)ln(t)	\int\:_{1}^{4}6\sqrt{t}\ln(t)dt
integral of sec(2t)tan(2t)	\int\:\sec(2t)\tan(2t)dt
derivative of (8x-6)^2	derivative\:(8x-6)^{2}
integral of ((x^2+5)/((x+2)^2))	\int\:(\frac{x^{2}+5}{(x+2)^{2}})dx
integral of (x^3)/(x+2)	\int\:\frac{x^{3}}{x+2}dx
laplacetransform sin(2x+3)	laplacetransform\:\sin(2x+3)
limit as x approaches 0 of x^3cos(5/x)	\lim\:_{x\to\:0}(x^{3}\cos(\frac{5}{x}))
(\partial)/(\partial y)(x/(y+1))	\frac{\partial\:}{\partial\:y}(\frac{x}{y+1})
area y=3x^2,y=2-x,x=0	area\:y=3x^{2},y=2-x,x=0
integral of 4/(3x)	\int\:\frac{4}{3x}dx
sum from n=1 to infinity of (n!)/(100^n)	\sum\:_{n=1}^{\infty\:}\frac{n!}{100^{n}}
derivative of sin(5x+tan(3x))	\frac{d}{dx}(\sin(5x)+\tan(3x))
x^{''}+2x^'+10=e^{-t},x(0)=0,x^'(0)=0	x^{\prime\:\prime\:}+2x^{\prime\:}+10=e^{-t},x(0)=0,x^{\prime\:}(0)=0

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