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y^'=(2x+sec^2(x))/(2y)	y^{\prime\:}=\frac{2x+\sec^{2}(x)}{2y}
derivative of x^2sin(3x)	derivative\:x^{2}\sin(3x)
2xsin(y)dx+x^2cos(y)dy=0	2x\sin(y)dx+x^{2}\cos(y)dy=0
integral of-24x^5	\int\:-24x^{5}dx
integral of (x^2+sec^2(x))	\int\:(x^{2}+\sec^{2}(x))dx
sum from n=0 to infinity of 0.74^n	\sum\:_{n=0}^{\infty\:}0.74^{n}
limit as x approaches 3 of (2+x)/(3-x)	\lim\:_{x\to\:3}(\frac{2+x}{3-x})
integral of 1/(xsqrt(ln(3x)))	\int\:\frac{1}{x\sqrt{\ln(3x)}}dx
integral of sqrt((5+x)/(5-x))	\int\:\sqrt{\frac{5+x}{5-x}}dx
(\partial)/(\partial x)(x^3e^{sqrt(2xy)})	\frac{\partial\:}{\partial\:x}(x^{3}e^{\sqrt{2xy}})
integral of 1/(xlog_{e)(x)}	\int\:\frac{1}{x\log_{e}(x)}dx
derivative of f(x)=2x^2-5x+3,a=1	derivative\:f(x)=2x^{2}-5x+3,a=1
y^'= y/t-(y/t)^2	y^{\prime\:}=\frac{y}{t}-(\frac{y}{t})^{2}
derivative of f(x)=x^3e^{-2x}	derivative\:f(x)=x^{3}e^{-2x}
derivative of 2pir^2	derivative\:2πr^{2}
derivative of y=(x-2)^{4x}	derivative\:y=(x-2)^{4x}
integral of (x^3+3x^2-2x+1)/(x^4+5x^2+4)	\int\:\frac{x^{3}+3x^{2}-2x+1}{x^{4}+5x^{2}+4}dx
derivative of ((x^2-1^{3/2})/(3x^3))	\frac{d}{dx}(\frac{(x^{2}-1)^{\frac{3}{2}}}{3x^{3}})
limit as x approaches 9+of 2/(x-9)	\lim\:_{x\to\:9+}(\frac{2}{x-9})
tangent of f(x)=(20x)/(x^2-5),(5,5)	tangent\:f(x)=\frac{20x}{x^{2}-5},(5,5)
limit as x approaches 0 of (ax^2+bx^3)/(cx^2+dx^3)	\lim\:_{x\to\:0}(\frac{ax^{2}+bx^{3}}{cx^{2}+dx^{3}})
derivative of (4/5 x^4)	\frac{d}{dx}((\frac{4}{5}x)^{4})
integral from 0 to 3 of pi(4sqrt(3y))^2	\int\:_{0}^{3}π(4\sqrt{3y})^{2}dy
derivative of 5^{4x}	derivative\:5^{4x}
derivative of (7x^4+10^5)	\frac{d}{dx}((7x^{4}+10)^{5})
xy^'+2y-6=0	xy^{\prime\:}+2y-6=0
d/(dy)(1/(x-y))	\frac{d}{dy}(\frac{1}{x-y})
integral of 35tan^5(x)sec^4(x)	\int\:35\tan^{5}(x)\sec^{4}(x)dx
integral of (6xy-2y^2+1)	\int\:(6xy-2y^{2}+1)dx
integral from 0 to 0.6 of 200x	\int\:_{0}^{0.6}200xdx
integral of tanh(x/9)	\int\:\tanh(\frac{x}{9})dx
derivative of e^{2x}+sin(x^2)	\frac{d}{dx}(e^{2x}+\sin(x^{2}))
derivative of 4e^{3x}	\frac{d}{dx}(4e^{3x})
derivative of f(x)=(x^3+2x-2)^4	derivative\:f(x)=(x^{3}+2x-2)^{4}
3e^{3x}(dy)/(dx)=-9 x/(y^2)	3e^{3x}\frac{dy}{dx}=-9\frac{x}{y^{2}}
limit as x approaches pi/2 of 7sec(x)-7tan(x)	\lim\:_{x\to\:\frac{π}{2}}(7\sec(x)-7\tan(x))
derivative of arctan((x-1/(x+1)))	\frac{d}{dx}(\arctan(\frac{x-1}{x+1}))
integral from 0 to x of e^{-x}	\int\:_{0}^{x}e^{-x}dx
derivative of f(x)=\sqrt[4]{x}-4e^x	derivative\:f(x)=\sqrt[4]{x}-4e^{x}
x^2y^{''}+xy^'-y=1	x^{2}y^{\prime\:\prime\:}+xy^{\prime\:}-y=1
integral of e^{(-x)/2}cos(3x)	\int\:e^{\frac{-x}{2}}\cos(3x)dx
derivative of (1-x/2)	\frac{d}{dx}(\frac{1-x}{2})
integral of 4x(1+sqrt(x))	\int\:4x(1+\sqrt{x})dx
sum from n=0 to infinity of 1/10	\sum\:_{n=0}^{\infty\:}\frac{1}{10}
integral of (x-7)/(x^2-18x+82)	\int\:\frac{x-7}{x^{2}-18x+82}dx
limit as x approaches 2-of ln(x+3)	\lim\:_{x\to\:2-}(\ln(x+3))
derivative of x^2s^4+y^5s+z^3	derivative\:x^{2}s^{4}+y^{5}s+z^{3}
integral of (5/(sqrt(x))+5sqrt(x))	\int\:(\frac{5}{\sqrt{x}}+5\sqrt{x})dx
2xy^'-10y=x^{-2}	2xy^{\prime\:}-10y=x^{-2}
limit as n approaches infinity of n(n+1)	\lim\:_{n\to\:\infty\:}(n(n+1))
integral of ((cy)/((x^2+y^2)^{3/2)})	\int\:(\frac{cy}{(x^{2}+y^{2})^{\frac{3}{2}}})dy
integral of sin(4x)	\int\:\sin(4x)dx
limit as z approaches 2i of (z^2)/2	\lim\:_{z\to\:2i}(\frac{z^{2}}{2})
d/(dt)((4e^t)/((4-3e^t)^2))	\frac{d}{dt}(\frac{4e^{t}}{(4-3e^{t})^{2}})
integral of cos(u^2)	\int\:\cos(u^{2})du
integral of 1/(sqrt(x^2+4))	\int\:\frac{1}{\sqrt{x^{2}+4}}dx
integral from 0 to 1 of (42)/(x^2-49)	\int\:_{0}^{1}\frac{42}{x^{2}-49}dx
derivative of 660(1-(x/(330))^2)	derivative\:660(1-(\frac{x}{330})^{2})
derivative of 8(x-1/x)^4	derivative\:8(x-\frac{1}{x})^{4}
(\partial)/(\partial y)(xe^y)	\frac{\partial\:}{\partial\:y}(xe^{y})
integral of ((e^x)^2)/(e^x+1)	\int\:\frac{(e^{x})^{2}}{e^{x}+1}dx
integral from 0 to 1 of [(x^2-1)-(-x+2)]	\int\:_{0}^{1}[(x^{2}-1)-(-x+2)]dx
(\partial)/(\partial x)(2x-y)	\frac{\partial\:}{\partial\:x}(2x-y)
integral of 2x(x^2+2)^5	\int\:2x(x^{2}+2)^{5}dx
derivative of (5x/4)	\frac{d}{dx}(\frac{5x}{4})
taylor tan(x),0	taylor\:\tan(x),0
y^'-y=1,y(0)=0	y^{\prime\:}-y=1,y(0)=0
limit as x approaches 0 of xln(x-1)	\lim\:_{x\to\:0}(x\ln(x-1))
area x^2-2x+1,-x+3	area\:x^{2}-2x+1,-x+3
sec^2(x)dy+csc(y)dx=0	\sec^{2}(x)dy+\csc(y)dx=0
(xe^{2x})^'	(xe^{2x})^{\prime\:}
derivative of 3/5 x^{5/3}-3/4 x^{1/3}+8	derivative\:\frac{3}{5}x^{\frac{5}{3}}-\frac{3}{4}x^{\frac{1}{3}}+8
(dy)/(dx)y=e^x	\frac{dy}{dx}y=e^{x}
limit as x approaches 1 of 5/(x^2-1)	\lim\:_{x\to\:1}(\frac{5}{x^{2}-1})
derivative of (x^3/(e^{1/x)})	\frac{d}{dx}(\frac{x^{3}}{e^{\frac{1}{x}}})
derivative of f(x)6-7x+5x^2	derivative\:f(x)6-7x+5x^{2}
limit as x approaches infinity of 8x+1	\lim\:_{x\to\:\infty\:}(8x+1)
limit as x approaches-1 of (x^3-1)/(x+1)	\lim\:_{x\to\:-1}(\frac{x^{3}-1}{x+1})
integral of x^{11}sqrt(x^6+3)	\int\:x^{11}\sqrt{x^{6}+3}dx
(dy)/(dx)=((x^2-y^2))/(xy)	\frac{dy}{dx}=\frac{(x^{2}-y^{2})}{xy}
derivative of sech(e^{sqrt(tan(3x)}))	\frac{d}{dx}(\sech(e^{\sqrt{\tan(3x)}}))
(\partial)/(\partial x)(3+cos(0.4x-t))	\frac{\partial\:}{\partial\:x}(3+\cos(0.4x-t))
tangent of 8x^2	tangent\:8x^{2}
(dy)/(dx)= y/x+e^{-y/x}	\frac{dy}{dx}=\frac{y}{x}+e^{-\frac{y}{x}}
tangent of y=5x^2-x^3	tangent\:y=5x^{2}-x^{3}
limit as x approaches 2 of (x^2+4)/(x-2)	\lim\:_{x\to\:2}(\frac{x^{2}+4}{x-2})
(\partial)/(\partial x)(3x^2*e^{x^2y})	\frac{\partial\:}{\partial\:x}(3x^{2}\cdot\:e^{x^{2}y})
derivative of cos((2x^2+1)^7)	derivative\:\cos((2x^{2}+1)^{7})
derivative of (2x^5+5/(x^3))	\frac{d}{dx}(\frac{2x^{5}+5}{x^{3}})
derivative of 1/(2sqrt(r))+1/(5r^{4/5)}	derivative\:\frac{1}{2\sqrt{r}}+\frac{1}{5r^{\frac{4}{5}}}
integral of (-x)/(1-0.5x)	\int\:\frac{-x}{1-0.5x}dx
(\partial)/(\partial x)(2x^2-4xy+y^4)	\frac{\partial\:}{\partial\:x}(2x^{2}-4xy+y^{4})
derivative of 2x-sqrt(x+3)	\frac{d}{dx}(2x-\sqrt{x+3})
derivative of sin^2(x^2)	derivative\:\sin^{2}(x^{2})
limit as x approaches 1/2 of \|x\|	\lim\:_{x\to\:\frac{1}{2}}(\left\|x\right\|)
integral of (x^5-2x+4)	\int\:(x^{5}-2x+4)dx
derivative of y=(10x+15)/x	derivative\:y=\frac{10x+15}{x}
(d^2y)/(dx^2)-4(dy)/(dx)+4y=0	\frac{d^{2}y}{dx^{2}}-4\frac{dy}{dx}+4y=0
y^'=-3y+e^{-2x}	y^{\prime\:}=-3y+e^{-2x}
derivative of (x^2+1/(x-2))	\frac{d}{dx}(\frac{x^{2}+1}{x-2})

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