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y^'=((y+t))/2	y^{\prime\:}=\frac{(y+t)}{2}
derivative of xsqrt(9-x^2)	\frac{d}{dx}(x\sqrt{9-x^{2}})
derivative of sqrt(x^2-4x+5)	derivative\:\sqrt{x^{2}-4x+5}
integral from 3 to 7 of e^x	\int\:_{3}^{7}e^{x}dx
(\partial)/(\partial x)(ln(4x^2+3y^2+6))	\frac{\partial\:}{\partial\:x}(\ln(4x^{2}+3y^{2}+6))
sum from n=0 to infinity of 1/(8^n)	\sum\:_{n=0}^{\infty\:}\frac{1}{8^{n}}
integral of (3+x)/(3-x)	\int\:\frac{3+x}{3-x}dx
derivative of 3/2 x^{1/2}	\frac{d}{dx}(\frac{3}{2}x^{\frac{1}{2}})
integral of e^{5x}sin(4x)	\int\:e^{5x}\sin(4x)dx
derivative of (5x^2-3(x^2+x+4))	\frac{d}{dx}((5x^{2}-3)(x^{2}+x+4))
(\partial)/(\partial y)(x+5y)	\frac{\partial\:}{\partial\:y}(x+5y)
derivative of 1/((3x^3+5x+7^{3/4)})	\frac{d}{dx}(\frac{1}{(3x^{3}+5x+7)^{\frac{3}{4}}})
(e^y+6x)dx+(xe^y)dy=0	(e^{y}+6\cdot\:x)\cdot\:dx+(x\cdot\:e^{y})\cdot\:dy=0
limit as x approaches 16 of 4-sqrt(x)	\lim\:_{x\to\:16}(4-\sqrt{x})
integral of ((x+2))/(x^2+4x)	\int\:\frac{(x+2)}{x^{2}+4x}dx
derivative of y=arcsin(6x+1)	derivative\:y=\arcsin(6x+1)
integral of (2x^2+x-8)/(x^3+4x)	\int\:\frac{2x^{2}+x-8}{x^{3}+4x}dx
(\partial)/(\partial y)((x^2-y^2)/(z^2))	\frac{\partial\:}{\partial\:y}(\frac{x^{2}-y^{2}}{z^{2}})
derivative of x/(x+d/x)	derivative\:\frac{x}{x+\frac{d}{x}}
derivative of f(x)=(2x^5-3)^8	derivative\:f(x)=(2x^{5}-3)^{8}
limit as x approaches+(-2.4) of x	\lim\:_{x\to\:+(-2.4)}(x)
y^'-ty^3=0	y^{\prime\:}-ty^{3}=0
sum from n=7 to infinity of 1/n	\sum\:_{n=7}^{\infty\:}\frac{1}{n}
limit as x approaches-5 of (x-1)/(x+5)	\lim\:_{x\to\:-5}(\frac{x-1}{x+5})
integral of 5/(16+9cos^2(x))	\int\:\frac{5}{16+9\cos^{2}(x)}dx
integral of (tan^3(x))/(cos^4(x))	\int\:\frac{\tan^{3}(x)}{\cos^{4}(x)}dx
(\partial)/(\partial x)(ln((y/x)^2))	\frac{\partial\:}{\partial\:x}(\ln((\frac{y}{x})^{2}))
integral of (x^2-8x-17)/((x-1)^2(x^2+1))	\int\:\frac{x^{2}-8x-17}{(x-1)^{2}(x^{2}+1)}dx
(\partial)/(\partial x)(sqrt(41-x^2-y^2))	\frac{\partial\:}{\partial\:x}(\sqrt{41-x^{2}-y^{2}})
(\partial)/(\partial x)(sin(2y))	\frac{\partial\:}{\partial\:x}(\sin(2y))
limit as x approaches 1 of \|x\|	\lim\:_{x\to\:1}(\left\|x\right\|)
derivative of y=\sqrt[6]{x}	derivative\:y=\sqrt[6]{x}
integral from 0 to 7 of te^{-t}	\int\:_{0}^{7}te^{-t}dt
integral from 0 to infinity of (e^{-x/a})/a	\int\:_{0}^{\infty\:}\frac{e^{-\frac{x}{a}}}{a}dx
derivative of ({g}(x)/({f)(x)+2})	\frac{d}{dx}(\frac{{g}(x)}{{f}(x)+2})
derivative of ln\|cos(x\|)	\frac{d}{dx}(\ln\left\|\cos(x)\right\|)
integral of (4x+3)^4	\int\:(4x+3)^{4}dx
d/(dt)((\sqrt[3]{t})/(t-3))	\frac{d}{dt}(\frac{\sqrt[3]{t}}{t-3})
integral of-2xsin(x)	\int\:-2x\sin(x)dx
tangent of f(x)=6xsqrt(4-3x),\at x=-2	tangent\:f(x)=6x\sqrt{4-3x},\at\:x=-2
derivative of log_{2}(log_{2}(x))	derivative\:\log_{2}(\log_{2}(x))
slope of (0,4),(-2,0)	slope\:(0,4),(-2,0)
integral of x/(sqrt(3x^2+1))	\int\:\frac{x}{\sqrt{3x^{2}+1}}dx
derivative of (t+4)^{2/3}(2t^2-3)^3	derivative\:(t+4)^{\frac{2}{3}}(2t^{2}-3)^{3}
tangent of f(x)=\|x-4\|,\at x=0	tangent\:f(x)=\left\|x-4\right\|,\at\:x=0
derivative of 0x	\frac{d}{dx}(0x)
inverse oflaplace (2s+2)/(s^2+2s+3)	inverselaplace\:\frac{2s+2}{s^{2}+2s+3}
taylor (1+x)^{-2}	taylor\:(1+x)^{-2}
integral from 0 to pi/4 of 3sec^2(x)	\int\:_{0}^{\frac{π}{4}}3\sec^{2}(x)dx
integral of ((x^2-5x)^2)/(sqrt(x))	\int\:\frac{(x^{2}-5x)^{2}}{\sqrt{x}}dx
integral of (x^2+4)/(3x^3+4x^2-4x)	\int\:\frac{x^{2}+4}{3x^{3}+4x^{2}-4x}dx
tangent of f(x)=sqrt(2x+45),\at x=2	tangent\:f(x)=\sqrt{2x+45},\at\:x=2
derivative of 49+23sin((2pi)/(52)(t-10))	derivative\:49+23\sin(\frac{2π}{52}(t-10))
integral of 1/(xsqrt(1-ln(x^2)))	\int\:\frac{1}{x\sqrt{1-\ln(x^{2})}}dx
y^'=(2x)/y	y^{\prime\:}=\frac{2x}{y}
integral of 4x-6	\int\:4x-6dx
integral of (8x-3)/(12x^2-7x+1)	\int\:\frac{8x-3}{12x^{2}-7x+1}dx
integral of (x^3)/(x^4+4)	\int\:\frac{x^{3}}{x^{4}+4}dx
derivative of (1/(y^2)-9/(y^4))(y+5y^3)	derivative\:(\frac{1}{y^{2}}-\frac{9}{y^{4}})(y+5y^{3})
taylor f(x)=ln(((1+x))/((1-x)))	taylor\:f(x)=\ln(\frac{(1+x)}{(1-x)})
8(ln(y))y^'-x^7y=0	8(\ln(y))y^{\prime\:}-x^{7}y=0
d/(dt)(cos(5t))	\frac{d}{dt}(\cos(5t))
integral from-2 to 2 of x^3-4x	\int\:_{-2}^{2}x^{3}-4xdx
integral of ((1-x^2)^{1/2})/(x^4)	\int\:\frac{(1-x^{2})^{\frac{1}{2}}}{x^{4}}dx
integral of 4r-r^2sin(θ)	\int\:4r-r^{2}\sin(θ)dr
-6x^2y+y^'=-10x^2	-6x^{2}y+y^{\prime\:}=-10x^{2}
inverse oflaplace 1/(s(s^2+2s+2))	inverselaplace\:\frac{1}{s(s^{2}+2s+2)}
inverse oflaplace 5/(s^2-12)-(4s)/(s^2+8)	inverselaplace\:\frac{5}{s^{2}-12}-\frac{4s}{s^{2}+8}
(\partial)/(\partial t)(st^2)	\frac{\partial\:}{\partial\:t}(st^{2})
derivative of y=3x^2+(8x)/3-2	derivative\:y=3x^{2}+\frac{8x}{3}-2
integral of (900)/((2x-5)^2)	\int\:\frac{900}{(2x-5)^{2}}dx
integral of 1/(x^2sqrt(x^2-6))	\int\:\frac{1}{x^{2}\sqrt{x^{2}-6}}dx
integral from 0 to 3 of (2e^x)	\int\:_{0}^{3}(2e^{x})dx
derivative of f(x)=(x+2)/(10-3x)	derivative\:f(x)=\frac{x+2}{10-3x}
integral from 5 to 7 of x^3	\int\:_{5}^{7}x^{3}dx
integral of (1+e^{-2x})/(e^x)	\int\:\frac{1+e^{-2x}}{e^{x}}dx
integral from 0 to 3 of 3x^2	\int\:_{0}^{3}3x^{2}dx
(\partial)/(\partial x)(x^{2/5}*y^{3/5})	\frac{\partial\:}{\partial\:x}(x^{\frac{2}{5}}\cdot\:y^{\frac{3}{5}})
integral of ((3x+5))/(sqrt(x^2+x+1))	\int\:\frac{(3x+5)}{\sqrt{x^{2}+x+1}}dx
derivative of 1/(5+2x)	\frac{d}{dx}(\frac{1}{5+2x})
tangent of y=sqrt(5x-2),(5,sqrt(23))	tangent\:y=\sqrt{5x-2},(5,\sqrt{23})
inverse oflaplace \at+b	inverselaplace\:\at\:+b
derivative of y=x^2-2x	derivative\:y=x^{2}-2x
limit as x approaches 2 of e^{x-5}	\lim\:_{x\to\:2}(e^{x-5})
integral of e^{1-2x}	\int\:e^{1-2x}dx
(\partial)/(\partial x)(e^{xe^x})	\frac{\partial\:}{\partial\:x}(e^{xe^{x}})
integral of xtan(x)	\int\:x\tan(x)dx
integral from 1 to e of 5x^2ln(x)	\int\:_{1}^{e}5x^{2}\ln(x)dx
integral of (x-2)/((x+1)^2+4)	\int\:\frac{x-2}{(x+1)^{2}+4}dx
limit as x approaches 0 of x^nsin(1/x)	\lim\:_{x\to\:0}(x^{n}\sin(\frac{1}{x}))
integral of sqrt(1+1/4 x)	\int\:\sqrt{1+\frac{1}{4}x}dx
slope of (2.4)(3.6)	slope\:(2.4)(3.6)
derivative of ln(8x^2+1)	\frac{d}{dx}(\ln(8x^{2}+1))
integral of (-3x^3+2x^2-3x-6)/(x^3+x)	\int\:\frac{-3x^{3}+2x^{2}-3x-6}{x^{3}+x}dx
sum from n=0 to infinity of 3^nx^{2n}	\sum\:_{n=0}^{\infty\:}3^{n}x^{2n}
tangent of 1/3 x^3-(16)/(sqrt(x))-40/3	tangent\:\frac{1}{3}x^{3}-\frac{16}{\sqrt{x}}-\frac{40}{3}
limit as h approaches 0 of 7	\lim\:_{h\to\:0}(7)
integral of (8x^3-9x^2+4)	\int\:(8x^{3}-9x^{2}+4)dx
derivative of sqrt(5x-1)	derivative\:\sqrt{5x-1}
integral of ((1-2x))/x	\int\:\frac{(1-2x)}{x}dx

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