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(\partial)/(\partial y)((xe^y)^2)	\frac{\partial\:}{\partial\:y}((xe^{y})^{2})
derivative of f(x)=(x^2)/2	derivative\:f(x)=\frac{x^{2}}{2}
dV=6dt	dV=6dt
(\partial)/(\partial x)((2xy^2)/(5+x^2y^2))	\frac{\partial\:}{\partial\:x}(\frac{2xy^{2}}{5+x^{2}y^{2}})
integral of 5x(x^2+1)^3	\int\:5x(x^{2}+1)^{3}dx
integral from-3 to 2 of 6-x-x^2	\int\:_{-3}^{2}6-x-x^{2}dx
derivative of 2x^4+7x+5	\frac{d}{dx}(2x^{4}+7x+5)
limit as x approaches-infinity of 7/x	\lim\:_{x\to\:-\infty\:}(\frac{7}{x})
integral of sqrt(x)(x+2)	\int\:\sqrt{x}(x+2)dx
derivative of (ln(5x))^2	derivative\:(\ln(5x))^{2}
derivative of log_{2}(sqrt(x))	\frac{d}{dx}(\log_{2}(\sqrt{x}))
(e^{-t}sin(t))^'	(e^{-t}\sin(t))^{\prime\:}
derivative of ln(x/(x^2+4))	derivative\:\ln(\frac{x}{x^{2}+4})
(\partial)/(\partial y)(2(x+y))	\frac{\partial\:}{\partial\:y}(2(x+y))
(\partial)/(\partial x)((2x-y)/(x+3y))	\frac{\partial\:}{\partial\:x}(\frac{2x-y}{x+3y})
limit as x approaches 2-of sqrt(x+c)	\lim\:_{x\to\:2-}(\sqrt{x+c})
integral of x-2/x	\int\:x-\frac{2}{x}dx
integral of sec^2(θ)tan(θ)	\int\:\sec^{2}(θ)\tan(θ)dθ
integral of e^{-(x^3)^3}x^3)^3	\int\:e^{-(x^{3})^{3}}d(x^{3})^{3}
limit as x approaches a+of-5	\lim\:_{x\to\:a+}(-5)
derivative of ((x^2+3)/(x^2-3))^4	derivative\:(\frac{x^{2}+3}{x^{2}-3})^{4}
integral of ((sqrt(x^2-4)))/(x^6)	\int\:\frac{(\sqrt{x^{2}-4})}{x^{6}}dx
(\partial)/(\partial x)(5xy+2x-x^2-4y^2)	\frac{\partial\:}{\partial\:x}(5xy+2x-x^{2}-4y^{2})
integral of 8tan^7(x)sec^2(x)	\int\:8\tan^{7}(x)\sec^{2}(x)dx
(dy)/(dx)=8-y	\frac{dy}{dx}=8-y
derivative of (x^3/3-4x)	\frac{d}{dx}(\frac{x^{3}}{3}-4x)
derivative of f(x)=(2x-3)/(x^2+2x)	derivative\:f(x)=\frac{2x-3}{x^{2}+2x}
implicit 2x^3-e^{xy}=x*y^4	implicit\:2x^{3}-e^{xy}=x\cdot\:y^{4}
limit as x approaches 0+of x^{9x}	\lim\:_{x\to\:0+}(x^{9x})
(\partial)/(\partial x)(5x^2)	\frac{\partial\:}{\partial\:x}(5x^{2})
integral of x/(sqrt(6-x^2))	\int\:\frac{x}{\sqrt{6-x^{2}}}dx
limit as x approaches 3 of x^2	\lim\:_{x\to\:3}(x^{2})
integral of e^xy	\int\:e^{x}ydx
limit as x approaches-1 of (x^2-4)/(x-2)	\lim\:_{x\to\:-1}(\frac{x^{2}-4}{x-2})
(d^2)/(dx^2)(θsin(θ))	\frac{d^{2}}{dx^{2}}(θ\sin(θ))
integral of 1/(y^2-4y+4)	\int\:\frac{1}{y^{2}-4y+4}dy
integral of (e^{-x}-e^5)*(e^x+e^{-3})	\int\:(e^{-x}-e^{5})\cdot\:(e^{x}+e^{-3})dx
(\partial)/(\partial x)(ye^{x^2})	\frac{\partial\:}{\partial\:x}(ye^{x^{2}})
(\partial)/(\partial x)(x^2+3xy^2)	\frac{\partial\:}{\partial\:x}(x^{2}+3xy^{2})
inverse oflaplace (2s-7)/((s-4)(s+6))	inverselaplace\:\frac{2s-7}{(s-4)(s+6)}
integral of (x+4)/(x^2+5x-6)	\int\:\frac{x+4}{x^{2}+5x-6}dx
integral of sin(t)sec^2(cos(t))	\int\:\sin(t)\sec^{2}(\cos(t))dt
integral from 3 to 0 of (5x-x^3)	\int\:_{3}^{0}(5x-x^{3})dx
y^'=(3y^2+3)/(2xy)	y^{\prime\:}=\frac{3y^{2}+3}{2xy}
(dy)/(dx)=6sqrt(xy)	\frac{dy}{dx}=6\sqrt{xy}
integral of sqrt((x^2+1)/(x^2))	\int\:\sqrt{\frac{x^{2}+1}{x^{2}}}dx
(dy)/(dx)=10^{x+y}	\frac{dy}{dx}=10^{x+y}
derivative of x(s-2x(s-2x))	\frac{d}{dx}(x(s-2x)(s-2x))
derivative of \sqrt[4]{x^5}	derivative\:\sqrt[4]{x^{5}}
sum from n=0 to infinity of n^{3/2}	\sum\:_{n=0}^{\infty\:}n^{\frac{3}{2}}
sum from n=3 to infinity of (6/11)^{-n}	\sum\:_{n=3}^{\infty\:}(\frac{6}{11})^{-n}
expand 4x(x^2-9)	expand\:4x(x^{2}-9)
(\partial)/(\partial y)(x(1-x-2y))	\frac{\partial\:}{\partial\:y}(x(1-x-2y))
slope ofintercept (0,8),(8,1)	slopeintercept\:(0,8),(8,1)
tangent of sqrt(x),\at x=16	tangent\:\sqrt{x},\at\:x=16
integral from 2 to x of (3t^2-1)	\int\:_{2}^{x}(3t^{2}-1)dt
derivative of F(r)= 5/(r^3)	derivative\:F(r)=\frac{5}{r^{3}}
derivative of 3/(x+7)	\frac{d}{dx}(\frac{3}{x+7})
derivative of y=sqrt(x)+\sqrt[6]{x}	derivative\:y=\sqrt{x}+\sqrt[6]{x}
integral of (csc^4(2x))/(cot^2(2x))	\int\:\frac{\csc^{4}(2x)}{\cot^{2}(2x)}dx
x(dy)/(dx)=y+(x^2-1)^2	x\frac{dy}{dx}=y+(x^{2}-1)^{2}
xy^'+y=-9xy^2,y(1)=-2	xy^{\prime\:}+y=-9xy^{2},y(1)=-2
limit as x approaches x+2 of 2x^2+3x-2	\lim\:_{x\to\:x+2}(2x^{2}+3x-2)
((sin(x))/x)^'	(\frac{\sin(x)}{x})^{\prime\:}
derivative of f(x)=ln(3+4x)	derivative\:f(x)=\ln(3+4x)
inverse oflaplace S/(((S^2+9)^2))	inverselaplace\:\frac{S}{((S^{2}+9)^{2})}
integral of 3e^{3x}sin(e^{3x})	\int\:3e^{3x}\sin(e^{3x})dx
tangent of f(x)=xsqrt(x)	tangent\:f(x)=x\sqrt{x}
(4x^2+2xy)(dy)/(dx)+(12xy+2y^2)=0	(4x^{2}+2xy)\frac{dy}{dx}+(12xy+2y^{2})=0
integral from 1/2 to 1 of sin(2pix)	\int\:_{\frac{1}{2}}^{1}\sin(2πx)dx
area y=-x^2+4,y=2x+1	area\:y=-x^{2}+4,y=2x+1
derivative of 500000+5000t^2	derivative\:500000+5000t^{2}
derivative of ((3x+5)/((2x-6)))	\frac{d}{dx}(\frac{(3x+5)}{(2x-6)})
derivative of f(x)=(x^3-4/x)^{-6}	derivative\:f(x)=(x^{3}-\frac{4}{x})^{-6}
derivative of arcsin(ln(kx+9))	\frac{d}{dx}(\arcsin(\ln(kx+9)))
integral of 2e^{-t}t	\int\:2e^{-t}tdt
integral of e^{-10r^2}	\int\:e^{-10r^{2}}dr
taylor (x-1)*ln(x-1),2	taylor\:(x-1)\cdot\:\ln(x-1),2
area 9-x^2,0	area\:9-x^{2},0
integral of (7x^4-6x^2-x+5)/(x+2)	\int\:\frac{7x^{4}-6x^{2}-x+5}{x+2}dx
limit as x approaches 3-of (1-2x)/(x-3)	\lim\:_{x\to\:3-}(\frac{1-2x}{x-3})
derivative of sin^2(2bx)	\frac{d}{dx}(\sin^{2}(2bx))
integral of (6+x+x^2)/(sqrt(x))	\int\:\frac{6+x+x^{2}}{\sqrt{x}}dx
(dx)/(dt)=-3x+6e^{-t}	\frac{dx}{dt}=-3x+6e^{-t}
derivative of x^3-4x^2+45x+10	\frac{d}{dx}(x^{3}-4x^{2}+45x+10)
integral from 0 to 5 of xe^{-2x}	\int\:_{0}^{5}xe^{-2x}dx
y^'=e^{4x}-6x	y^{\prime\:}=e^{4x}-6x
limit as x approaches 0 of (-6)/(e^3-x)	\lim\:_{x\to\:0}(\frac{-6}{e^{3}-x})
inverse oflaplace (8s^2+12s+7)/(s^2+s)	inverselaplace\:\frac{8s^{2}+12s+7}{s^{2}+s}
derivative of ln((2x+5^3))	\frac{d}{dx}(\ln((2x+5)^{3}))
limit as x approaches infinity of \|x-5\|	\lim\:_{x\to\:\infty\:}(\left\|x-5\right\|)
(\partial)/(\partial x)(1/(x+t+1))	\frac{\partial\:}{\partial\:x}(\frac{1}{x+t+1})
y^'=(2x)/(y+1)	y^{\prime\:}=\frac{2x}{y+1}
derivative of arcsech(x)	\frac{d}{dx}(\arcsech(x))
derivative of 1/(a+b*(x/d ^c))	\frac{d}{dx}(\frac{1}{a+b\cdot\:(\frac{x}{d})^{c}})
(dy)/(dt)+5y=80,y(1)=100	\frac{dy}{dt}+5y=80,y(1)=100
derivative of-sqrt(x+1)	\frac{d}{dx}(-\sqrt{x+1})
integral of 1/(tan(x)sec(x))	\int\:\frac{1}{\tan(x)\sec(x)}dx
(\partial)/(\partial x)((y^2)/(2x))	\frac{\partial\:}{\partial\:x}(\frac{y^{2}}{2x})
integral from-1 to 1 of-x^2+1	\int\:_{-1}^{1}-x^{2}+1dx

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