425.sagews

#Simple calculations
4+33+123-45*12/123

\newcommand{\Bold}[1]{\mathbf{#1}}\frac{6380}{41}

#Algebric Equation Solving
x = var('x')
solve(x^2 + 3*x + 2, x)

\newcommand{\Bold}[1]{\mathbf{#1}}\left[x = \left(-2\right), x = \left(-1\right)\right]

#Another one !
m =var('m')
solve(10-exp(m),m)

\newcommand{\Bold}[1]{\mathbf{#1}}\left[m = \log\left(10\right)\right]

# Another one 
solve(m^5 -123 + x^5, m)

\newcommand{\Bold}[1]{\mathbf{#1}}\left[m = {\left(-x^{5} + 123\right)}^{\left(\frac{1}{5}\right)} e^{\left(\left(\frac{2}{5} i\right) \, \pi\right)}, m = {\left(-x^{5} + 123\right)}^{\left(\frac{1}{5}\right)} e^{\left(\left(\frac{4}{5} i\right) \, \pi\right)}, m = {\left(-x^{5} + 123\right)}^{\left(\frac{1}{5}\right)} e^{\left(\left(-\frac{4}{5} i\right) \, \pi\right)}, m = {\left(-x^{5} + 123\right)}^{\left(\frac{1}{5}\right)} e^{\left(\left(-\frac{2}{5} i\right) \, \pi\right)}, m = {\left(-x^{5} + 123\right)}^{\left(\frac{1}{5}\right)}\right]

solve(m^5 -12 + x^5, x)

\newcommand{\Bold}[1]{\mathbf{#1}}\left[x = {\left(-m^{5} + 12\right)}^{\left(\frac{1}{5}\right)} e^{\left(\left(\frac{2}{5} i\right) \, \pi\right)}, x = {\left(-m^{5} + 12\right)}^{\left(\frac{1}{5}\right)} e^{\left(\left(\frac{4}{5} i\right) \, \pi\right)}, x = {\left(-m^{5} + 12\right)}^{\left(\frac{1}{5}\right)} e^{\left(\left(-\frac{4}{5} i\right) \, \pi\right)}, x = {\left(-m^{5} + 12\right)}^{\left(\frac{1}{5}\right)} e^{\left(\left(-\frac{2}{5} i\right) \, \pi\right)}, x = {\left(-m^{5} + 12\right)}^{\left(\frac{1}{5}\right)}\right]

solve(x^2 - 9, x)

\newcommand{\Bold}[1]{\mathbf{#1}}\left[x = \left(-3\right), x = 3\right]

#Calculus
integrate(sin(x))

/usr/local/sage2/local/lib/python2.6/site-packages/sage/misc/functional.py:718: DeprecationWarning: Variable of integration should be specified explicitly. return x.integral(*args, **kwds)

\newcommand{\Bold}[1]{\mathbf{#1}}-\cos\left(x\right)

#Trigrometry
sin(90)
cos(4.3)

\newcommand{\Bold}[1]{\mathbf{#1}}-0.400799172079975

#Function Calculation
y(x) = 2*x-x^3
y(5)/y(9)

\newcommand{\Bold}[1]{\mathbf{#1}}\frac{115}{711}

y(3)

\newcommand{\Bold}[1]{\mathbf{#1}}-21

y(100)

\newcommand{\Bold}[1]{\mathbf{#1}}-999800

log(y(10))

\newcommand{\Bold}[1]{\mathbf{#1}}i \, \pi + \log\left(980\right)

integrate(y ,x)

\newcommand{\Bold}[1]{\mathbf{#1}}x \ {\mapsto}\ -\frac{1}{4} \, x^{4} + x^{2}

solve(y(x), x)

\newcommand{\Bold}[1]{\mathbf{#1}}\left[x = -\sqrt{2}, x = \sqrt{2}, x = 0\right]

y(34)

\newcommand{\Bold}[1]{\mathbf{#1}}-39236

diff(y,x)

\newcommand{\Bold}[1]{\mathbf{#1}}x \ {\mapsto}\ -3 \, x^{2} + 2