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x^{''}+9/4 x^'+9/64 x=0,x^'(0)=1,x(0)=2	x^{\prime\:\prime\:}+\frac{9}{4}x^{\prime\:}+\frac{9}{64}x=0,x^{\prime\:}(0)=1,x(0)=2
sum from n=0 to infinity of 1/(n^{0.51)}	\sum\:_{n=0}^{\infty\:}\frac{1}{n^{0.51}}
f(x)=8sqrt(x)+9\sqrt[3]{x^2}+4sqrt(x^3)	f(x)=8\sqrt{x}+9\sqrt[3]{x^{2}}+4\sqrt{x^{3}}
limit as y approaches 1/2 of (15y^2-6)^4	\lim\:_{y\to\:\frac{1}{2}}((15y^{2}-6)^{4})
integral of ((sqrt(x)+1))/(\sqrt[4]{x)}	\int\:\frac{(\sqrt{x}+1)}{\sqrt[4]{x}}dx
integral of-3/2 x	\int\:-\frac{3}{2}xdx
derivative of \|sin(6x\|)	\frac{d}{dx}(\left\|\sin(6x)\right\|)
integral of 1/x+sqrt(x)	\int\:\frac{1}{x}+\sqrt{x}dx
(dy)/(dx)=2xy+3x^2e^{x^2}	\frac{dy}{dx}=2xy+3x^{2}e^{x^{2}}
d/(da)(cos(a)tan(a))	\frac{d}{da}(\cos(a)\tan(a))
limit as x approaches 1 of 2x-3	\lim\:_{x\to\:1}(2x-3)
integral of 4/(x^2sqrt(x^2+4))	\int\:\frac{4}{x^{2}\sqrt{x^{2}+4}}dx
2y(dy)/(dx)+8x=6	2y\frac{dy}{dx}+8x=6
derivative of ln(2/3 x)	derivative\:\ln(\frac{2}{3}x)
derivative of 20x^2+(180/x)	\frac{d}{dx}(20x^{2}+\frac{180}{x})
(dy)/(dθ)=4y^2sec^2(2θ)	\frac{dy}{dθ}=4y^{2}\sec^{2}(2θ)
derivative of log_{11}(x)	\frac{d}{dx}(\log_{11}(x))
integral of (3x^2)/((x^2+1)(x+1))	\int\:\frac{3x^{2}}{(x^{2}+1)(x+1)}dx
derivative of sin(x)+4/3 cot(x)	derivative\:\sin(x)+\frac{4}{3}\cot(x)
integral of 1/(x^2-7x+12)	\int\:\frac{1}{x^{2}-7x+12}dx
xy^2(dy)/(dx)=y^3-3x^3,y(1)=5	xy^{2}\frac{dy}{dx}=y^{3}-3x^{3},y(1)=5
y^'=0.1*y-250000	y^{\prime\:}=0.1\cdot\:y-250000
integral of 5cos(pix-3)	\int\:5\cos(πx-3)dx
derivative of (4x)/(sqrt(x^2+2))	derivative\:\frac{4x}{\sqrt{x^{2}+2}}
(\partial)/(\partial x)(x(10-x-y))	\frac{\partial\:}{\partial\:x}(x(10-x-y))
integral of (6-6x)/(1-sqrt(x))	\int\:\frac{6-6x}{1-\sqrt{x}}dx
derivative of 1/8 xsqrt(64-x^2)	\frac{d}{dx}(\frac{1}{8}x\sqrt{64-x^{2}})
slope ofintercept (5,-4),(4,7)	slopeintercept\:(5,-4),(4,7)
integral of 7/(xsqrt(36-49ln^2(x)))	\int\:\frac{7}{x\sqrt{36-49\ln^{2}(x)}}dx
derivative of xsin(x+cos(x))	\frac{d}{dx}(x\sin(x)+\cos(x))
integral of sqrt(13+12x-x^2)	\int\:\sqrt{13+12x-x^{2}}dx
y^'=2y+x^2+7	y^{\prime\:}=2y+x^{2}+7
inverse oflaplace 1/(s^2+8)(-40/33)	inverselaplace\:\frac{1}{s^{2}+8}(-\frac{40}{33})
tangent of 7/(2sqrt(7x+2)),\at a=2	tangent\:\frac{7}{2\sqrt{7x+2}},\at\:a=2
integral of cos((2pinx)/L)	\int\:\cos(\frac{2πnx}{L})dx
integral of 1/(5x-1)	\int\:\frac{1}{5x-1}dx
limit as x approaches infinity+of (1+2x)^{1/(2ln(x))}	\lim\:_{x\to\:\infty\:+}((1+2x)^{\frac{1}{2\ln(x)}})
integral of (e^{arctan(y)})/(1+y^2)	\int\:\frac{e^{\arctan(y)}}{1+y^{2}}dy
integral of (e^{2x}cos(3x))	\int\:(e^{2x}\cos(3x))dx
integral of (cos(x))/(1+2sin(x))	\int\:\frac{\cos(x)}{1+2\sin(x)}dx
derivative of e^{ln(x^2})	\frac{d}{dx}(e^{\ln(x^{2})})
derivative of x/((1-x^2))	\frac{d}{dx}(\frac{x}{(1-x)^{2}})
derivative of f(x)= 7/(r^3)	derivative\:f(x)=\frac{7}{r^{3}}
derivative of f(x)=7x^{3/2}	derivative\:f(x)=7x^{\frac{3}{2}}
(\partial)/(\partial x)(cos(7x^2y-3xy^3))	\frac{\partial\:}{\partial\:x}(\cos(7x^{2}y-3xy^{3}))
derivative of cos(9x)	derivative\:\cos(9x)
(\partial ^2)/(\partial y^2)(x^2-e^{y^2})	\frac{\partial\:^{2}}{\partial\:y^{2}}(x^{2}-e^{y^{2}})
integral from 0 to pi/8 of xtan^2(2x)	\int\:_{0}^{\frac{π}{8}}x\tan^{2}(2x)dx
integral of 1/(4u^2+9-41u)	\int\:\frac{1}{4u^{2}+9-41u}du
laplacetransform-sin(2t)	laplacetransform\:-\sin(2t)
integral of 1/(5+4cos(x))	\int\:\frac{1}{5+4\cos(x)}dx
sum from n=6 to infinity of (5^n)/(14^n)	\sum\:_{n=6}^{\infty\:}\frac{5^{n}}{14^{n}}
derivative of (sqrt(x)/(x-10))	\frac{d}{dx}(\frac{\sqrt{x}}{x-10})
taylor ln(1-z)	taylor\:\ln(1-z)
integral of 3x^2-24x+48	\int\:3x^{2}-24x+48dx
derivative of 3x^4-8x^3+2	\frac{d}{dx}(3x^{4}-8x^{3}+2)
derivative of log_{6}(x)	derivative\:\log_{6}(x)
y^{''}+2t=0	y^{\prime\:\prime\:}+2t=0
integral from-1 to 2 of-x^2+x+2	\int\:_{-1}^{2}-x^{2}+x+2dx
tangent of f(x)=(2x+4)^{1/5},\at x=1	tangent\:f(x)=(2x+4)^{\frac{1}{5}},\at\:x=1
limit as y approaches infinity of ((y^2-e^{(6y)}))/((4y^2+e^{7y))}	\lim\:_{y\to\:\infty\:}(\frac{(y^{2}-e^{(6y)})}{(4y^{2}+e^{7y})})
derivative of h(t)=(t+1)^{2/3}(2t^2-1)^3	derivative\:h(t)=(t+1)^{\frac{2}{3}}(2t^{2}-1)^{3}
(\partial)/(\partial y)(4x^3y^3+1)	\frac{\partial\:}{\partial\:y}(4x^{3}y^{3}+1)
integral of 1/(5x+6)	\int\:\frac{1}{5x+6}dx
integral of (3x+6)/((2x^2+8x+3)^2)	\int\:\frac{3x+6}{(2x^{2}+8x+3)^{2}}dx
(\partial)/(\partial y)(5xsin(y-z))	\frac{\partial\:}{\partial\:y}(5x\sin(y-z))
y^'-e^{5x+y}=0	y^{\prime\:}-e^{5x+y}=0
derivative of (3x+2/(5x-1))	\frac{d}{dx}(\frac{3x+2}{5x-1})
derivative of 6+3x-4x(7x+1^2)	\frac{d}{dx}(6+3x-4x(7x+1)^{2})
integral of 13ln(\sqrt[3]{x})	\int\:13\ln(\sqrt[3]{x})dx
(\partial)/(\partial x)(2xyln(x))	\frac{\partial\:}{\partial\:x}(2xy\ln(x))
(\partial)/(\partial t)(sin(2x)cos(2t))	\frac{\partial\:}{\partial\:t}(\sin(2x)\cos(2t))
derivative of (8x/(7-tan(x)))	\frac{d}{dx}(\frac{8x}{7-\tan(x)})
longdivision (2x+3)/(3x-2)	longdivision\:\frac{2x+3}{3x-2}
integral of (-9cos(x))	\int\:(-9\cos(x))dx
integral of (x+2)/(x^2+5x)	\int\:\frac{x+2}{x^{2}+5x}dx
integral from 0 to 6 of 2e^x	\int\:_{0}^{6}2e^{x}dx
derivative of sin(arccos(2x))	\frac{d}{dx}(\sin(\arccos(2x)))
derivative of 5cos(4ln(x))	\frac{d}{dx}(5\cos(4\ln(x)))
integral of (7x^6+x/7)	\int\:(7x^{6}+\frac{x}{7})dx
derivative of (arccos(x)^{10})	\frac{d}{dx}((\arccos(x))^{10})
derivative of (2-x^4)	\frac{d}{dx}((2-x)^{4})
derivative of sin(x^3+sin^3(x))	\frac{d}{dx}(\sin(x^{3})+\sin^{3}(x))
derivative of (arctan(x)^3)	\frac{d}{dx}((\arctan(x))^{3})
(\partial)/(\partial x)(1/(f(x))-1/x)	\frac{\partial\:}{\partial\:x}(\frac{1}{f(x)}-\frac{1}{x})
derivative of sqrt(y^2+x^2)	\frac{d}{dx}(\sqrt{y^{2}+x^{2}})
integral of sin(1/7)x	\int\:\sin(\frac{1}{7})xdx
limit as h approaches 0 of (((h-5)^2-25))/((h))	\lim\:_{h\to\:0}(\frac{((h-5)^{2}-25)}{(h)})
d/(dy)(2xy^3)	\frac{d}{dy}(2xy^{3})
integral of-1/s e^{-st}	\int\:-\frac{1}{s}e^{-st}dt
integral of x(4x+5)^8	\int\:x(4x+5)^{8}dx
limit as x approaches infinity of 5^{-1/x}	\lim\:_{x\to\:\infty\:}(5^{-\frac{1}{x}})
derivative of f(x)=x^7-x^3	derivative\:f(x)=x^{7}-x^{3}
derivative of y=sin(1/x)	derivative\:y=\sin(\frac{1}{x})
integral of sin^6(3x)cos(3x)	\int\:\sin^{6}(3x)\cos(3x)dx
integral from 1 to 4 of \|x^2-2x-15\|	\int\:_{1}^{4}\left\|x^{2}-2x-15\right\|dx
derivative of 2xlog_{7}(sqrt(x))	derivative\:2x\log_{7}(\sqrt{x})
limit as x approaches 3 of 12	\lim\:_{x\to\:3}(12)
integral of (x^2)/((64+x^2)^2)	\int\:\frac{x^{2}}{(64+x^{2})^{2}}dx
(5xy^2-3)dx+(5x^2y+4)dy=0	(5xy^{2}-3)dx+(5x^{2}y+4)dy=0

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