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y^'=2y-3e^{-t}	y^{\prime\:}=2y-3e^{-t}
limit as x approaches 0 of sin(2/x)	\lim\:_{x\to\:0}(\sin(\frac{2}{x}))
tangent of f(x)=2x+sqrt(x)	tangent\:f(x)=2x+\sqrt{x}
(dy)/(dx)+3y=18	\frac{dy}{dx}+3y=18
integral of 1/((x^2+6x+6)^2)	\int\:\frac{1}{(x^{2}+6x+6)^{2}}dx
integral of 1/(xsqrt(5-x^2))	\int\:\frac{1}{x\sqrt{5-x^{2}}}dx
integral of 1/(xsqrt(4x+1))	\int\:\frac{1}{x\sqrt{4x+1}}dx
integral of 8csc^4(x)cot^6(x)	\int\:8\csc^{4}(x)\cot^{6}(x)dx
(\partial)/(\partial y)(4x-2y+3)	\frac{\partial\:}{\partial\:y}(4x-2y+3)
derivative of 2pi*sqrt(x/(9.8))	\frac{d}{dx}(2π\cdot\:\sqrt{\frac{x}{9.8}})
derivative of-7e^{-x}	\frac{d}{dx}(-7e^{-x})
derivative of (x^4-2x^2+5x+1/(x^4))	\frac{d}{dx}(\frac{x^{4}-2x^{2}+5x+1}{x^{4}})
xv(dv)/(dx)+v^2=32x	xv\frac{dv}{dx}+v^{2}=32x
limit as x approaches 1 of (x-1)/(\|x-1\|)	\lim\:_{x\to\:1}(\frac{x-1}{\left\|x-1\right\|})
integral from 4 to 9 of 2sqrt(x)	\int\:_{4}^{9}2\sqrt{x}dx
sum from n=1 to infinity of (n^2)/(2n^2)	\sum\:_{n=1}^{\infty\:}\frac{n^{2}}{2n^{2}}
derivative of y=4x^2sin(x)tan(x)	derivative\:y=4x^{2}\sin(x)\tan(x)
y^'= 1/(ty+2t+y+2)	y^{\prime\:}=\frac{1}{ty+2t+y+2}
limit as n approaches a of (5n)/(10n+4)	\lim\:_{n\to\:a}(\frac{5n}{10n+4})
derivative of 5-cos(x)	\frac{d}{dx}(5-\cos(x))
(\partial)/(\partial y)((x^2y-y)/(x^2-2y))	\frac{\partial\:}{\partial\:y}(\frac{x^{2}y-y}{x^{2}-2y})
inverse oflaplace 2/((s-2)^2)	inverselaplace\:\frac{2}{(s-2)^{2}}
y^3-(10x+8)+3xy^2y^'=0	y^{3}-(10x+8)+3xy^{2}y^{\prime\:}=0
derivative of (sqrt(x-4))/(sqrt(x+4))	derivative\:\frac{\sqrt{x-4}}{\sqrt{x+4}}
derivative of y= 1/(3x)	derivative\:y=\frac{1}{3x}
derivative of sin(x^3-x)	\frac{d}{dx}(\sin(x^{3}-x))
area 2y=x,x+1=(y-1)^2	area\:2y=x,x+1=(y-1)^{2}
derivative of sqrt(7-8x)	\frac{d}{dx}(\sqrt{7-8x})
(dy)/(dx)=(x+y+5)^2	\frac{dy}{dx}=(x+y+5)^{2}
y^{''}+2y=-4x	y^{\prime\:\prime\:}+2y=-4x
derivative of ((4x+b)/((cx+d)))	\frac{d}{dx}(\frac{(4x+b)}{(cx+d)})
(dy)/(dx)+8y=e^xy^{-8}	\frac{dy}{dx}+8y=e^{x}y^{-8}
limit as x approaches 5-of 4x-5	\lim\:_{x\to\:5-}(4x-5)
integral of ((5x^2+8x+5))/((x-5)(x^2+9))	\int\:\frac{(5x^{2}+8x+5)}{(x-5)(x^{2}+9)}dx
integral of 2sin(x^3)	\int\:2\sin(x^{3})dx
integral of 1/((x^2+3))	\int\:\frac{1}{(x^{2}+3)}dx
derivative of (3x/(2sin(x)+cos(x)))	\frac{d}{dx}(\frac{3x}{2\sin(x)+\cos(x)})
y^{''}+y^'-6y=0	y^{\prime\:\prime\:}+y^{\prime\:}-6y=0
sum from n=1 to infinity of (5^n)/(6^n)	\sum\:_{n=1}^{\infty\:}\frac{5^{n}}{6^{n}}
integral from 0 to 0.6 of 2000x	\int\:_{0}^{0.6}2000xdx
inverse oflaplace 1/s+1/s e^s	inverselaplace\:\frac{1}{s}+\frac{1}{s}e^{s}
inverse oflaplace-2	inverselaplace\:-2
integral of 4sec(x)tan(x)-2sec^2(x)	\int\:4\sec(x)\tan(x)-2\sec^{2}(x)dx
inverse oflaplace 1/(s^2+3)	inverselaplace\:\frac{1}{s^{2}+3}
integral of (x-1)/(x^3-x^2-2x)	\int\:\frac{x-1}{x^{3}-x^{2}-2x}dx
integral of 5sin^3(xco)s^5x	\int\:5\sin^{3}(xco)s^{5}xdx
derivative of ce^{2x}	derivative\:ce^{2x}
area 8x^2,sqrt(1/8 x)	area\:8x^{2},\sqrt{\frac{1}{8}x}
(\partial)/(\partial x)(3x^4y^5+5x^7y^8)	\frac{\partial\:}{\partial\:x}(3x^{4}y^{5}+5x^{7}y^{8})
integral from 0 to 3 of 1/(x-1)	\int\:_{0}^{3}\frac{1}{x-1}dx
tangent of f(x)=-2x^3,(-1,2)	tangent\:f(x)=-2x^{3},(-1,2)
inverse oflaplace 9/((s+3)^3)	inverselaplace\:\frac{9}{(s+3)^{3}}
(\partial)/(\partial y)(3x^2y^2)	\frac{\partial\:}{\partial\:y}(3x^{2}y^{2})
limit as x approaches 3 of 5x-1	\lim\:_{x\to\:3}(5x-1)
(dy)/(dx)=(e^x)/(2+e^x)	\frac{dy}{dx}=\frac{e^{x}}{2+e^{x}}
integral of (19xe^{2x})/((1+2x)^2)	\int\:\frac{19xe^{2x}}{(1+2x)^{2}}dx
derivative of 6x+sin(3x)	\frac{d}{dx}(6x+\sin(3x))
derivative of (1-x^2/(2-x^3))	\frac{d}{dx}(\frac{1-x^{2}}{2-x^{3}})
y^{''}+4y^'+30y=0,y(0)=1,y^'(0)=0	y^{\prime\:\prime\:}+4y^{\prime\:}+30y=0,y(0)=1,y^{\prime\:}(0)=0
integral of sin(3x)cos^2(3x)	\int\:\sin(3x)\cos^{2}(3x)dx
integral from-1 to 4 of (5x^4-8x^3+6)	\int\:_{-1}^{4}(5x^{4}-8x^{3}+6)dx
f^'(x)=e^x	f^{\prime\:}(x)=e^{x}
integral of-6sqrt(x)e^{sqrt(x)}	\int\:-6\sqrt{x}e^{\sqrt{x}}dx
integral of (e^x(e^x+1))/((e^x-1)^3)	\int\:\frac{e^{x}(e^{x}+1)}{(e^{x}-1)^{3}}dx
(dy)/(dx)=3(2-y)	\frac{dy}{dx}=3(2-y)
(dy)/(dx)=(xy+y^2)/(x^2)	\frac{dy}{dx}=\frac{xy+y^{2}}{x^{2}}
(dy)/(dx)=16\sqrt[4]{4x^4+4}	\frac{dy}{dx}=16\sqrt[4]{4x^{4}+4}
y^{''}+2y^'+26y=0	y^{\prime\:\prime\:}+2y^{\prime\:}+26y=0
area 2^x,ln(x), 1/2 ,2	area\:2^{x},\ln(x),\frac{1}{2},2
limit as x approaches 4 of-x^2+4x	\lim\:_{x\to\:4}(-x^{2}+4x)
tangent of f(x)= 2/(3x+5),\at x=-1	tangent\:f(x)=\frac{2}{3x+5},\at\:x=-1
4y^{''}-4y^'+50y=0	4y^{\prime\:\prime\:}-4y^{\prime\:}+50y=0
derivative of y=8^x	derivative\:y=8^{x}
integral of (1-2x-x^2)/(x^3+x^2-3x+1)	\int\:\frac{1-2x-x^{2}}{x^{3}+x^{2}-3x+1}dx
limit as x approaches 3 of (-x+6)/(-2-1)	\lim\:_{x\to\:3}(\frac{-x+6}{-2-1})
derivative of kxe^x	\frac{d}{dx}(kxe^{x})
limit as x approaches 2 of x^2+5x	\lim\:_{x\to\:2}(x^{2}+5x)
derivative of sin(x)e^{cos(x)}	derivative\:\sin(x)e^{\cos(x)}
integral of sin(7x+1)	\int\:\sin(7x+1)dx
(\partial)/(\partial y)(e^{-2x}cos(4y))	\frac{\partial\:}{\partial\:y}(e^{-2x}\cos(4y))
derivative of-7/((x-7)^2)	derivative\:-\frac{7}{(x-7)^{2}}
(\partial)/(\partial y)(e^x-e^{x^2})	\frac{\partial\:}{\partial\:y}(e^{x}-e^{x^{2}})
derivative of 4x^2+9	derivative\:4x^{2}+9
integral of (7x+cos(x))	\int\:(7x+\cos(x))dx
(dy)/(dx)+2/x y= 1/(x^2)	\frac{dy}{dx}+\frac{2}{x}y=\frac{1}{x^{2}}
limit as n approaches infinity of 2/n	\lim\:_{n\to\:\infty\:}(\frac{2}{n})
derivative of f(x)=(3ln(x))/(13x^2)	derivative\:f(x)=\frac{3\ln(x)}{13x^{2}}
limit as x approaches 5 of 7	\lim\:_{x\to\:5}(7)
(2x-y)dx+(2y-x)dy=0,y(1)=3	(2x-y)dx+(2y-x)dy=0,y(1)=3
integral of (1-sin(θ))/(θ+cos(θ))	\int\:\frac{1-\sin(θ)}{θ+\cos(θ)}dθ
integral of e^{-x}-sin(2x)	\int\:e^{-x}-\sin(2x)dx
derivative of (x^6-2^3)	\frac{d}{dx}((x^{6}-2)^{3})
integral of e^{2x}(3+e^{2x})^5	\int\:e^{2x}(3+e^{2x})^{5}dx
integral from-1 to 2 of (5x)/(x^2-x-6)	\int\:_{-1}^{2}\frac{5x}{x^{2}-x-6}dx
y^{''}+3y^'+2y=4	y^{\prime\:\prime\:}+3y^{\prime\:}+2y=4
integral of csc^3(x)cot^2(x)	\int\:\csc^{3}(x)\cot^{2}(x)dx
taylor e^θ	taylor\:e^{θ}
integral of ((e^{2x}+1))/(e^x)	\int\:\frac{(e^{2x}+1)}{e^{x}}dx
y^'= 1/y ,y(0)=1	y^{\prime\:}=\frac{1}{y},y(0)=1
derivative of f(x)=3x^2+1	derivative\:f(x)=3x^{2}+1

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