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x(dy)/(dx)+(3x+1)y=e^{3x}	x\frac{dy}{dx}+(3x+1)y=e^{3x}
integral of x/(sqrt(3-2x-x^2))	\int\:\frac{x}{\sqrt{3-2x-x^{2}}}dx
integral from 2 to 1/x of arctan(t)	\int\:_{2}^{\frac{1}{x}}\arctan(t)dt
integral from-5 to 0 of (4+sqrt(25-x^2))	\int\:_{-5}^{0}(4+\sqrt{25-x^{2}})dx
limit as x approaches 8 of (x+9)/(x-8)	\lim\:_{x\to\:8}(\frac{x+9}{x-8})
y^{''}+256y=7cos(5t)	y^{\prime\:\prime\:}+256y=7\cos(5t)
inverse oflaplace (10)/(s^2+25)+4/(s-3)	inverselaplace\:\frac{10}{s^{2}+25}+\frac{4}{s-3}
integral of (sqrt(x^2-25))/x	\int\:\frac{\sqrt{x^{2}-25}}{x}dx
integral of 1064-0.005x	\int\:1064-0.005xdx
derivative of x^2+4x	derivative\:x^{2}+4x
inverse oflaplace 8/((2s+1)^3)	inverselaplace\:\frac{8}{(2s+1)^{3}}
(\partial)/(\partial x)(2x+3y-4)	\frac{\partial\:}{\partial\:x}(2x+3y-4)
derivative of f(x) 2/(sqrt(x))	derivative\:f(x)\frac{2}{\sqrt{x}}
derivative of (x^2-2x-3)/((x-1)^2)	derivative\:\frac{x^{2}-2x-3}{(x-1)^{2}}
144y^{'''}+168y^{''}+49y^'=0	144y^{\prime\:\prime\:\prime\:}+168y^{\prime\:\prime\:}+49y^{\prime\:}=0
derivative of (3x/(1+x^2))	\frac{d}{dx}(\frac{3x}{1+x^{2}})
derivative of 3/(sqrt(x+5))	\frac{d}{dx}(\frac{3}{\sqrt{x+5}})
integral of (1-cos(θ))^3	\int\:(1-\cos(θ))^{3}dθ
integral of (2x^2+3x+7)	\int\:(2x^{2}+3x+7)dx
derivative of f(x)=7x^3e^{-x}	derivative\:f(x)=7x^{3}e^{-x}
integral of e^{2x}sin(e^{2x})	\int\:e^{2x}\sin(e^{2x})dx
derivative of y=10000+30xe^{x/(800)}	derivative\:y=10000+30xe^{\frac{x}{800}}
area x+2y=2,y-x=1,2x+y=7	area\:x+2y=2,y-x=1,2x+y=7
derivative of pi/(sqrt(x))	\frac{d}{dx}(\frac{π}{\sqrt{x}})
derivative of 5cos(pit)	derivative\:5\cos(πt)
d/(dn)(2^n)	\frac{d}{dn}(2^{n})
longdivision (x-1)/(x+1)	longdivision\:\frac{x-1}{x+1}
limit as x approaches 0-of sqrt(x^2+4)	\lim\:_{x\to\:0-}(\sqrt{x^{2}+4})
derivative of e^{-4x^6}	\frac{d}{dx}(e^{-4x^{6}})
derivative of ln(sqrt((1-sin(x)/(1+sin(x)))))	\frac{d}{dx}(\ln(\sqrt{\frac{1-\sin(x)}{1+\sin(x)}}))
integral of ((y-2)^2)/(sqrt(y))	\int\:\frac{(y-2)^{2}}{\sqrt{y}}dy
tangent of 100x^2+400x+5000	tangent\:100x^{2}+400x+5000
integral of x/(x^4+6x^2+10)	\int\:\frac{x}{x^{4}+6x^{2}+10}dx
integral of tan(θ)sec(θ)sec^2(θ)	\int\:\tan(θ)\sec(θ)\sec^{2}(θ)dθ
derivative of ln(4+ln(x))	\frac{d}{dx}(\ln(4+\ln(x)))
(\partial)/(\partial x)(axln(ax))	\frac{\partial\:}{\partial\:x}(ax\ln(ax))
integral of 49y	\int\:49ydy
laplacetransform e^{-4t}	laplacetransform\:e^{-4t}
integral of x/(2x^2-5)	\int\:\frac{x}{2x^{2}-5}dx
integral of x^{11}sqrt(x^6+6)	\int\:x^{11}\sqrt{x^{6}+6}dx
tangent of 2x^2-3x+4	tangent\:2x^{2}-3x+4
limit as x approaches 0+of ln(x)tan(x)	\lim\:_{x\to\:0+}(\ln(x)\tan(x))
tangent of 7/(sin(x)+cos(x))	tangent\:\frac{7}{\sin(x)+\cos(x)}
(dy)/(dx)+3y=0	\frac{dy}{dx}+3y=0
tangent of 6-x^2	tangent\:6-x^{2}
d/(dy)(4sqrt(9-y))	\frac{d}{dy}(4\sqrt{9-y})
limit as x approaches 0-of 1/x-cot(x)	\lim\:_{x\to\:0-}(\frac{1}{x}-\cot(x))
derivative of-2x^3-7x+5	\frac{d}{dx}(-2x^{3}-7x+5)
f(x)=x^pi	f(x)=x^{π}
(dx)/(dy)=x	\frac{dx}{dy}=x
laplacetransform t-4	laplacetransform\:t-4
f(x)=-x^3	f(x)=-x^{3}
x^2y^'+y^2=xy	x^{2}y^{\prime\:}+y^{2}=xy
derivative of (2x+5^{1/3})	\frac{d}{dx}((2x+5)^{\frac{1}{3}})
derivative of \sqrt[5]{t}-5e^t	derivative\:\sqrt[5]{t}-5e^{t}
integral of (3/(sqrt(x))+3sqrt(x))	\int\:(\frac{3}{\sqrt{x}}+3\sqrt{x})dx
derivative of x(cos(x))	\frac{d}{dx}(x(\cos(x)))
derivative of sqrt(9x^2-1)	derivative\:\sqrt{9x^{2}-1}
derivative of y=cos^4(t)-sin^4(t)	derivative\:y=\cos^{4}(t)-\sin^{4}(t)
limit as x approaches infinity of x^3	\lim\:_{x\to\:\infty\:}(x^{3})
integral of 6/(y^4)	\int\:\frac{6}{y^{4}}dy
integral of (x^2)^2x^2)^2	\int\:(x^{2})^{2}d(x^{2})^{2}
derivative of arctan(e^x)	derivative\:\arctan(e^{x})
dx+dye^{6x}=0	dx+dy\cdot\:e^{6\cdot\:x}=0
x(dy)/(dx)-y=1	x\frac{dy}{dx}-y=1
integral of x*3^x	\int\:x\cdot\:3^{x}dx
integral of ln(x+sqrt(x^2+a^2))	\int\:\ln(x+\sqrt{x^{2}+a^{2}})dx
integral of 4xsin(x)	\int\:4x\sin(x)dx
derivative of 3sqrt(x)+5	derivative\:3\sqrt{x}+5
limit as x approaches 0 of sqrt(1+2x)-\sqrt[3]{1-3x}	\lim\:_{x\to\:0}(\sqrt{1+2x}-\sqrt[3]{1-3x})
derivative of 1/u	derivative\:\frac{1}{u}
derivative of f(x)=-(2e^{2x})/((e^{2x)-1)^2}	derivative\:f(x)=-\frac{2e^{2x}}{(e^{2x}-1)^{2}}
integral of (x^2-4x-4)/(x^3-2x^2+4x-8)	\int\:\frac{x^{2}-4x-4}{x^{3}-2x^{2}+4x-8}dx
derivative of f(x)=4x^3-1x-2	derivative\:f(x)=4x^{3}-1x-2
(\partial)/(\partial y)(2xy)	\frac{\partial\:}{\partial\:y}(2xy)
implicit (dy)/(dx),xy=24	implicit\:\frac{dy}{dx},xy=24
d/(d{r)}(4pi{r}^2)	\frac{d}{d{r}}(4π{r}^{2})
integral of (x^2)/(sqrt(225-x^2))	\int\:\frac{x^{2}}{\sqrt{225-x^{2}}}dx
derivative of f(x)=cot^2(x)(csc(x))	derivative\:f(x)=\cot^{2}(x)(\csc(x))
integral of 1	\int\:1dx
integral of 1/(p(5-p))	\int\:\frac{1}{p(5-p)}dp
integral of (7-2x)^{11}	\int\:(7-2x)^{11}dx
integral of-(cos(nx))/n	\int\:-\frac{\cos(nx)}{n}dx
integral of-3cos(t)	\int\:-3\cos(t)dt
y^{''}-2y^'+5y=2cos(2t)e^t	y^{\prime\:\prime\:}-2y^{\prime\:}+5y=2\cos(2t)e^{t}
derivative of y=(2x)/(3-cot(x))	derivative\:y=\frac{2x}{3-\cot(x)}
integral from 0 to infinity of 1/x	\int\:_{0}^{\infty\:}\frac{1}{x}dx
slope of (0,0),(5,1)	slope\:(0,0),(5,1)
derivative of (2x-5)^4(x^2+x+1)^5	derivative\:(2x-5)^{4}(x^{2}+x+1)^{5}
integral of (1-sin(x))^{1/2}	\int\:(1-\sin(x))^{\frac{1}{2}}dx
y^{''}-5y^'+4y=8e^x	y^{\prime\:\prime\:}-5y^{\prime\:}+4y=8e^{x}
tangent of f(x)=-x^2+16x+63,\at x=2	tangent\:f(x)=-x^{2}+16x+63,\at\:x=2
integral of ln(4x)	\int\:\ln(4x)dx
derivative of 1/(1-cos(x))	\frac{d}{dx}(\frac{1}{1-\cos(x)})
integral of (2x)/(x^2-4x+13)	\int\:\frac{2x}{x^{2}-4x+13}dx
derivative of xe^xcot(x)	\frac{d}{dx}(xe^{x}\cot(x))
derivative of-10x+3cos(x)	\frac{d}{dx}(-10x+3\cos(x))
derivative of (6x/(x+5))	\frac{d}{dx}(\frac{6x}{x+5})
integral of e^{-5x}cos(3x)	\int\:e^{-5x}\cos(3x)dx
derivative of 1/((x-7^2))	\frac{d}{dx}(\frac{1}{(x-7)^{2}})

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