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(d^2y)/(dx^2)=-49y	\frac{d^{2}y}{dx^{2}}=-49y
derivative of ln(tan(x^3))	derivative\:\ln(\tan(x^{3}))
(dx)/(dt)=-t/x	\frac{dx}{dt}=-\frac{t}{x}
laplacetransform e^{2t}sin(4t)	laplacetransform\:e^{2t}\sin(4t)
derivative of (x^3-2)^2	derivative\:(x^{3}-2)^{2}
derivative of sqrt(x)-6x	\frac{d}{dx}(\sqrt{x}-6x)
limit as x approaches 1 of x^3	\lim\:_{x\to\:1}(x^{3})
limit as x approaches+3 of 5/(x^2-9)	\lim\:_{x\to\:+3}(\frac{5}{x^{2}-9})
(dy)/(dt)=20-y/(230+16t)	\frac{dy}{dt}=20-\frac{y}{230+16t}
(dy)/(dx)=e^x-6x^2	\frac{dy}{dx}=e^{x}-6x^{2}
tangent of y=x^3+x	tangent\:y=x^{3}+x
integral of x^2ex	\int\:x^{2}exdx
derivative of (sin(θ))/3+c/θ	derivative\:\frac{\sin(θ)}{3}+\frac{c}{θ}
derivative of 3z	derivative\:3z
derivative of 1/4 x^4	\frac{d}{dx}(\frac{1}{4}x^{4})
integral of 3xcos(4x)	\int\:3x\cos(4x)dx
integral of (3x^2-1)/((x-1)x^2)	\int\:\frac{3x^{2}-1}{(x-1)x^{2}}dx
derivative of e^{cos(x})	\frac{d}{dx}(e^{\cos(x)})
integral of xe^{bx}	\int\:xe^{bx}dx
integral of sec^5(3x)	\int\:\sec^{5}(3x)dx
derivative of (2xy/((2-x^2)))	\frac{d}{dx}(\frac{2xy}{(2-x^{2})})
derivative of cos(6y)	derivative\:\cos(6y)
derivative of (ax+b/(cx+d))	\frac{d}{dx}(\frac{ax+b}{cx+d})
limit as x approaches 1 of arccos(x)	\lim\:_{x\to\:1}(\arccos(x))
d/(ds)(6/(s^2+36))	\frac{d}{ds}(\frac{6}{s^{2}+36})
(d^2)/(dx^2)(sqrt(x^2+16))	\frac{d^{2}}{dx^{2}}(\sqrt{x^{2}+16})
integral of (3x^2+1)/(2x)	\int\:\frac{3x^{2}+1}{2x}dx
integral of (5x^3+7x)/(x-1)	\int\:\frac{5x^{3}+7x}{x-1}dx
integral of 1/((x+4)(x-4))	\int\:\frac{1}{(x+4)(x-4)}dx
derivative of y=2xarccos(x)-2sqrt(1-x^2)	derivative\:y=2x\arccos(x)-2\sqrt{1-x^{2}}
sum from n=0 to infinity of ((n))/(n+1)	\sum\:_{n=0}^{\infty\:}\frac{(n)}{n+1}
y/(x^2)(dy)/(dx)+e^{2x^3+y^2}=0	\frac{y}{x^{2}}\frac{dy}{dx}+e^{2x^{3}+y^{2}}=0
limit as x approaches infinity of 4/x-12	\lim\:_{x\to\:\infty\:}(\frac{4}{x}-12)
(\partial)/(\partial y)(3x+2ysin(x))	\frac{\partial\:}{\partial\:y}(3x+2y\sin(x))
limit as x approaches 20 of sin(70-x)	\lim\:_{x\to\:20}(\sin(70-x))
f(x)=(2x^4-1)(5x^3+6x)	f(x)=(2x^{4}-1)(5x^{3}+6x)
derivative of ((x^2-5)^3)/(x^2+2)	derivative\:\frac{(x^{2}-5)^{3}}{x^{2}+2}
limit as x approaches 5 of ln(x^2-25)	\lim\:_{x\to\:5}(\ln(x^{2}-25))
integral of 5e^x-cos(x)+3x^2-1/x	\int\:5e^{x}-\cos(x)+3x^{2}-\frac{1}{x}dx
integral of 1/(xsqrt(36x^2-4))	\int\:\frac{1}{x\sqrt{36x^{2}-4}}dx
derivative of x^2+3x+2	\frac{d}{dx}(x^{2}+3x+2)
derivative of 66^t+22t	derivative\:6\cdot\:6^{t}+2\cdot\:2t
integral of (sin(3x))/(csc^2(4x))	\int\:\frac{\sin(3x)}{\csc^{2}(4x)}dx
(dy)/(dx)=(1-y)/(1-x)	\frac{dy}{dx}=\frac{1-y}{1-x}
(\partial)/(\partial v)(2vsin(u))	\frac{\partial\:}{\partial\:v}(2v\sin(u))
inverse oflaplace 1/(s^2-s)	inverselaplace\:\frac{1}{s^{2}-s}
limit as x approaches 1/5 of x/(10x-2)	\lim\:_{x\to\:\frac{1}{5}}(\frac{x}{10x-2})
derivative of (cos(x)^3)	\frac{d}{dx}((\cos(x))^{3})
x^'+2/(1+t)x=(e^t)/(1+t)	x^{\prime\:}+\frac{2}{1+t}x=\frac{e^{t}}{1+t}
integral from-1 to 1 of 3x^2sqrt(x^3+5)	\int\:_{-1}^{1}3x^{2}\sqrt{x^{3}+5}dx
(x^2+2x)^'	(x^{2}+2x)^{\prime\:}
limit as x approaches 1+of 5/(x^3-1)	\lim\:_{x\to\:1+}(\frac{5}{x^{3}-1})
integral of (x+5)/(x^2+10x)	\int\:\frac{x+5}{x^{2}+10x}dx
integral from 0 to 1 of pi(1-x^2)	\int\:_{0}^{1}π(1-x^{2})dx
inverse oflaplace (-5)/(s(s^2-5s+4))	inverselaplace\:\frac{-5}{s(s^{2}-5s+4)}
derivative of y=-3x-2	derivative\:y=-3x-2
x^{''}+6x^'+7x=0,x(0)=0,x^'(0)=1	x^{\prime\:\prime\:}+6x^{\prime\:}+7x=0,x(0)=0,x^{\prime\:}(0)=1
integral from 2 to 5 of (4x-2)	\int\:_{2}^{5}(4x-2)dx
(sqrt(x))^'	(\sqrt{x})^{\prime\:}
integral of (180x^2)/((3x+1)(3x+5)(x+2))	\int\:\frac{180x^{2}}{(3x+1)(3x+5)(x+2)}dx
f(x)=cos(ln(x))	f(x)=\cos(\ln(x))
integral from 0 to 4 of 1/(x^2)	\int\:_{0}^{4}\frac{1}{x^{2}}dx
(\partial)/(\partial x)(ln(x^2))	\frac{\partial\:}{\partial\:x}(\ln(x^{2}))
integral of-2cos(t)	\int\:-2\cos(t)dt
tangent of f(x)=8\sqrt[4]{x},\at x=1	tangent\:f(x)=8\sqrt[4]{x},\at\:x=1
derivative of (3x+5^3-5x)	\frac{d}{dx}((3x+5)^{3}-5x)
(\partial)/(\partial x)(xe^{(y/x)})	\frac{\partial\:}{\partial\:x}(xe^{(\frac{y}{x})})
integral of 1/(cos^2(b)x)	\int\:\frac{1}{\cos^{2}(b)x}dx
limit as x approaches 2 of-5	\lim\:_{x\to\:2}(-5)
integral of-cos(2t)	\int\:-\cos(2t)dt
integral of 1/((1-x)(2-x))	\int\:\frac{1}{(1-x)(2-x)}dx
derivative of 1/(cos^2(x))	derivative\:\frac{1}{\cos^{2}(x)}
(dx)/(dt)=x	\frac{dx}{dt}=x
(\partial)/(\partial y)(2x-y)	\frac{\partial\:}{\partial\:y}(2x-y)
limit as x approaches infinity of (((log_{2}(x))^2))/(sqrt(x))	\lim\:_{x\to\:\infty\:}(\frac{((\log_{2}(x))^{2})}{\sqrt{x}})
xyy^'=x^6+3y^2	xyy^{\prime\:}=x^{6}+3y^{2}
integral of 3xsin(x)cos(x)	\int\:3x\sin(x)\cos(x)dx
derivative of ln(x*sqrt(x^2-1))	\frac{d}{dx}(\ln(x\cdot\:\sqrt{x^{2}-1}))
derivative of f(x)=x^9cos(x)	derivative\:f(x)=x^{9}\cos(x)
laplacetransform t^2e^{-3t}	laplacetransform\:t^{2}e^{-3t}
derivative of y^2x+2yx^3	\frac{d}{dx}(y^{2}x+2yx^{3})
slope of (0,-2),(2,2)	slope\:(0,-2),(2,2)
integral from 0 to 1 of sqrt(x+16)	\int\:_{0}^{1}\sqrt{x+16}dx
taylor sin(x+pi)	taylor\:\sin(x+π)
laplacetransform 2e^{-4t}	laplacetransform\:2e^{-4t}
derivative of ln(y/x)	\frac{d}{dx}(\ln(\frac{y}{x}))
(\partial)/(\partial y)(x^2-2x-xy)	\frac{\partial\:}{\partial\:y}(x^{2}-2x-xy)
derivative of (x^2)/((x^2-1)^4)	derivative\:\frac{x^{2}}{(x^{2}-1)^{4}}
(\partial)/(\partial y)(x^2e^y)	\frac{\partial\:}{\partial\:y}(x^{2}e^{y})
slope ofintercept (7)(-1.6)	slopeintercept\:(7)(-1.6)
x^2y^'+2xy=11cos^2(x)	x^{2}y^{\prime\:}+2xy=11\cos^{2}(x)
derivative of y=log_{5}(sqrt(7x+1))	derivative\:y=\log_{5}(\sqrt{7x+1})
derivative of (4x^3/3)	\frac{d}{dx}(\frac{4x^{3}}{3})
(\partial)/(\partial y)(zcos(xz))	\frac{\partial\:}{\partial\:y}(z\cos(xz))
derivative of (x-2^4-1)	\frac{d}{dx}((x-2)^{4}-1)
integral of xIn(1+x)	\int\:xIn(1+x)
slope of (-6,7),(1,-12)	slope\:(-6,7),(1,-12)
integral from 0 to 4 of (8t)/((t-5)^2)	\int\:_{0}^{4}\frac{8t}{(t-5)^{2}}dt
derivative of (3x^2+5x+8/(\sqrt[3]{x)})	\frac{d}{dx}(\frac{3x^{2}+5x+8}{\sqrt[3]{x}})
limit as x approaches 0 of (\|x-0\|)/(x-0)	\lim\:_{x\to\:0}(\frac{\left\|x-0\right\|}{x-0})

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