CoCalc -- 2513.sagews

All published worksheets from http://sagenb.org

Project: sagenb.org published worksheets

Views: ¹⁶⁸⁷⁴⁹
Image: ubuntu2004

sage: a=5
sage: a
5
sage: 2==2
True
sage: 2>3
False

True

sage: 2**3
8
sage: 2^3

8

sage: 5/2

5/2

sage: 5//2

2

sage: 18%5

3

sage: 012

sage: 09

Traceback (most recent call last):
  File "<stdin>", line 1, in <module>
  File "_sage_input_3.py", line 10, in <module>
    exec compile(u'open("___code___.py","w").write("# -*- coding: utf-8 -*-\\n" + _support_.preparse_worksheet_cell(base64.b64decode("MDk="),globals())+"\\n"); execfile(os.path.abspath("___code___.py"))' + '\n', '', 'single')
  File "", line 1, in <module>
    
  File "/tmp/tmpYBGPXi/___code___.py", line 2
    _sage_const_09 = Integer(09)
                              ^
SyntaxError: invalid token

sage: 012
10

10

sage: 09

Traceback (most recent call last):
  File "<stdin>", line 1, in <module>
  File "_sage_input_5.py", line 10, in <module>
    exec compile(u'open("___code___.py","w").write("# -*- coding: utf-8 -*-\\n" + _support_.preparse_worksheet_cell(base64.b64decode("MDk="),globals())+"\\n"); execfile(os.path.abspath("___code___.py"))' + '\n', '', 'single')
  File "", line 1, in <module>
    
  File "/tmp/tmpSJh3j0/___code___.py", line 2
    _sage_const_09 = Integer(09)
                              ^
SyntaxError: invalid token

sage: sin?

File: /usr/local/sage2/local/lib/python2.6/site-packages/sage/functions/trig.py

Type: <class ‘sage.functions.trig.Function_sin’>

Definition: sin(*args, coerce=True, hold=False, dont_call_method_on_arg=False)

Docstring:

The sine function.

EXAMPLES:

sage: sin(0)
0
sage: sin(x).subs(x==0)
0
sage: sin(2).n(100)
0.90929742682568169539601986591
sage: loads(dumps(sin))
sin

sage:def is_even(n):
    return n%2==0
sage:is_even(2)

Traceback (most recent call last):
  File "<stdin>", line 1, in <module>
  File "_sage_input_9.py", line 10, in <module>
    exec compile(u'open("___code___.py","w").write("# -*- coding: utf-8 -*-\\n" + _support_.preparse_worksheet_cell(base64.b64decode("aXNfZXZlbihuKTo="),globals())+"\\n"); execfile(os.path.abspath("___code___.py"))' + '\n', '', 'single')
  File "", line 1, in <module>
    
  File "/tmp/tmpIZJbHr/___code___.py", line 2
    is_even(n):
              ^
SyntaxError: invalid syntax

sage: is_even(123)

False

sage: def is_divisible_by(number,divisor=2):
    return number%divisor==0
sage: is_divisible_by(123,5)

Traceback (most recent call last):
  File "<stdin>", line 1, in <module>
  File "_sage_input_11.py", line 10, in <module>
    exec compile(u'open("___code___.py","w").write("# -*- coding: utf-8 -*-\\n" + _support_.preparse_worksheet_cell(base64.b64decode("ZGVmIGlzX2RpdmlzaWJsZV9ieShudW1iZXIsZGl2aXNvcj0yKToKaXNfZGl2aXNpYmxlX2J5KDEyMyw1KQ=="),globals())+"\\n"); execfile(os.path.abspath("___code___.py"))' + '\n', '', 'single')
  File "", line 1, in <module>
    
  File "/tmp/tmpMIRJEb/___code___.py", line 4
    exec compile(u'is_divisible_by(_sage_const_123 ,_sage_const_5 )' + '\n', '', 'single')
       ^
IndentationError: expected an indented block

sage: is_divible_by(123)

Traceback (most recent call last):
  File "<stdin>", line 1, in <module>
  File "_sage_input_12.py", line 10, in <module>
    exec compile(u'open("___code___.py","w").write("# -*- coding: utf-8 -*-\\n" + _support_.preparse_worksheet_cell(base64.b64decode("aXNfZGl2aWJsZV9ieSgxMjMp"),globals())+"\\n"); execfile(os.path.abspath("___code___.py"))' + '\n', '', 'single')
  File "", line 1, in <module>
    
  File "/tmp/tmp5x5Jt_/___code___.py", line 3, in <module>
    exec compile(u'is_divible_by(_sage_const_123 )' + '\n', '', 'single')
  File "", line 1, in <module>
    
NameError: name 'is_divible_by' is not defined

sage: def is_divisible_by(number,divisor=2):
    return number%divisor==0
sage: is_divisible_by(123,5)

Traceback (most recent call last):
  File "<stdin>", line 1, in <module>
  File "_sage_input_14.py", line 10, in <module>
    exec compile(u'open("___code___.py","w").write("# -*- coding: utf-8 -*-\\n" + _support_.preparse_worksheet_cell(base64.b64decode("ZGVmIGlzX2RpdmlzaWJsZV9ieShudW1iZXIsZGl2aXNvcj0yKToKaXNfZGl2aXNpYmxlX2J5KDEyMyw1KQ=="),globals())+"\\n"); execfile(os.path.abspath("___code___.py"))' + '\n', '', 'single')
  File "", line 1, in <module>
    
  File "/tmp/tmpX8QWmx/___code___.py", line 4
    exec compile(u'is_divisible_by(_sage_const_123 ,_sage_const_5 )' + '\n', '', 'single')
       ^
IndentationError: expected an indented block

sage: dif is_even(n):
  return n%2==0
sage: is_even(2)

Traceback (most recent call last):
  File "<stdin>", line 1, in <module>
  File "_sage_input_15.py", line 10, in <module>
    exec compile(u'open("___code___.py","w").write("# -*- coding: utf-8 -*-\\n" + _support_.preparse_worksheet_cell(base64.b64decode("ZGlmIGlzX2V2ZW4obik6CmlzX2V2ZW4oMik="),globals())+"\\n"); execfile(os.path.abspath("___code___.py"))' + '\n', '', 'single')
  File "", line 1, in <module>
    
  File "/tmp/tmpywQF_6/___code___.py", line 3
    dif is_even(n):
              ^
SyntaxError: invalid syntax

sage: def is_even(n):
return n%2==0
sage: is_even(2)

Traceback (most recent call last):
  File "<stdin>", line 1, in <module>
  File "_sage_input_3.py", line 10, in <module>
    exec compile(u'open("___code___.py","w").write("# -*- coding: utf-8 -*-\\n" + _support_.preparse_worksheet_cell(base64.b64decode("ZGVmIGlzX2V2ZW4obik6CmlzX2V2ZW4oMik="),globals())+"\\n"); execfile(os.path.abspath("___code___.py"))' + '\n', '', 'single')
  File "", line 1, in <module>
    
  File "/tmp/tmpHsJ4lb/___code___.py", line 4
    exec compile(u'is_even(_sage_const_2 )' + '\n', '', 'single')
       ^
IndentationError: expected an indented block

sage: is_even(123)

False

sage: is_even(2)

True

sage: def is_divisible_by(number,divisor=2):
return number%divisor==0
sage: is_divisible_by(123,5)

Traceback (most recent call last):
  File "<stdin>", line 1, in <module>
  File "_sage_input_13.py", line 10, in <module>
    exec compile(u'open("___code___.py","w").write("# -*- coding: utf-8 -*-\\n" + _support_.preparse_worksheet_cell(base64.b64decode("ZGVmIGlzX2RpdmlzaWJsZV9ieShudW1iZXIsZGl2aXNvcj0yKToKaXNfZGl2aXNpYmxlX2J5KDEyMyw1KQ=="),globals())+"\\n"); execfile(os.path.abspath("___code___.py"))' + '\n', '', 'single')
  File "", line 1, in <module>
    
  File "/tmp/tmpwkjSck/___code___.py", line 4
    exec compile(u'is_divisible_by(_sage_const_123 ,_sage_const_5 )' + '\n', '', 'single')
       ^
IndentationError: expected an indented block

sage: is_divisible_by(123,5)

Traceback (most recent call last):
  File "<stdin>", line 1, in <module>
  File "_sage_input_10.py", line 10, in <module>
    exec compile(u'open("___code___.py","w").write("# -*- coding: utf-8 -*-\\n" + _support_.preparse_worksheet_cell(base64.b64decode("aXNfZGl2aXNpYmxlX2J5KDEyMyw1KQ=="),globals())+"\\n"); execfile(os.path.abspath("___code___.py"))' + '\n', '', 'single')
  File "", line 1, in <module>
    
  File "/tmp/tmpkQ9Rm2/___code___.py", line 3, in <module>
    exec compile(u'is_divisible_by(_sage_const_123 ,_sage_const_5 )' + '\n', '', 'single')
  File "", line 1, in <module>
    
NameError: name 'is_divisible_by' is not defined

sage: is_divisible(123)

Traceback (most recent call last):
  File "<stdin>", line 1, in <module>
  File "_sage_input_11.py", line 10, in <module>
    exec compile(u'open("___code___.py","w").write("# -*- coding: utf-8 -*-\\n" + _support_.preparse_worksheet_cell(base64.b64decode("aXNfZGl2aXNpYmxlKDEyMyk="),globals())+"\\n"); execfile(os.path.abspath("___code___.py"))' + '\n', '', 'single')
  File "", line 1, in <module>
    
  File "/tmp/tmp0LQV3k/___code___.py", line 3, in <module>
    exec compile(u'is_divisible(_sage_const_123 )' + '\n', '', 'single')
  File "", line 1, in <module>
    
NameError: name 'is_divisible' is not defined

sage: def is_even(n):
return n%2==0

Traceback (most recent call last):
  File "<stdin>", line 1, in <module>
  File "_sage_input_17.py", line 10, in <module>
    exec compile(u'open("___code___.py","w").write("# -*- coding: utf-8 -*-\\n" + _support_.preparse_worksheet_cell(base64.b64decode("ZGVmIGlzX2V2ZW4obik6"),globals())+"\\n"); execfile(os.path.abspath("___code___.py"))' + '\n', '', 'single')
  File "", line 1, in <module>
    
  File "/tmp/tmpPEB8y9/___code___.py", line 3
    
                   ^
IndentationError: expected an indented block

sage: is_even(2)

True

sage: is_even(123)

False

sage: def is_divisible_by(number,divisor=2):

return number%divisor==0
sage: is_divisible_by(123,5)

Traceback (most recent call last):
  File "<stdin>", line 1, in <module>
  File "_sage_input_24.py", line 10, in <module>
    exec compile(u'open("___code___.py","w").write("# -*- coding: utf-8 -*-\\n" + _support_.preparse_worksheet_cell(base64.b64decode("ZGVmIGlzX2RpdmlzaWJsZV9ieShudW1iZXIsZGl2aXNvcj0yKToKaXNfZGl2aXNpYmxlX2J5KDEyMyw1KQ=="),globals())+"\\n"); execfile(os.path.abspath("___code___.py"))' + '\n', '', 'single')
  File "", line 1, in <module>
    
  File "/tmp/tmpzAJXxM/___code___.py", line 4
    exec compile(u'is_divisible_by(_sage_const_123 ,_sage_const_5 )' + '\n', '', 'single')
       ^
IndentationError: expected an indented block

sage: def is_divisible_by(number,divisor=2):
return number%divisor==0

Traceback (most recent call last):
  File "<stdin>", line 1, in <module>
  File "_sage_input_20.py", line 10, in <module>
    exec compile(u'open("___code___.py","w").write("# -*- coding: utf-8 -*-\\n" + _support_.preparse_worksheet_cell(base64.b64decode("ZGVmIGlzX2RpdmlzaWJsZV9ieShudW1iZXIsZGl2aXNvcj0yKTo="),globals())+"\\n"); execfile(os.path.abspath("___code___.py"))' + '\n', '', 'single')
  File "", line 1, in <module>
    
  File "/tmp/tmpHVzDql/___code___.py", line 4
    
                                                       ^
IndentationError: expected an indented block

sage: is_divisible_by(123,5)

Traceback (most recent call last):
  File "<stdin>", line 1, in <module>
  File "_sage_input_21.py", line 10, in <module>
    exec compile(u'open("___code___.py","w").write("# -*- coding: utf-8 -*-\\n" + _support_.preparse_worksheet_cell(base64.b64decode("aXNfZGl2aXNpYmxlX2J5KDEyMyw1KQ=="),globals())+"\\n"); execfile(os.path.abspath("___code___.py"))' + '\n', '', 'single')
  File "", line 1, in <module>
    
  File "/tmp/tmpFAmKj3/___code___.py", line 3, in <module>
    exec compile(u'is_divisible_by(_sage_const_123 ,_sage_const_5 )' + '\n', '', 'single')
  File "", line 1, in <module>
    
NameError: name 'is_divisible_by' is not defined

sage: is_divisible_by(123)

Traceback (most recent call last):
  File "<stdin>", line 1, in <module>
  File "_sage_input_23.py", line 10, in <module>
    exec compile(u'open("___code___.py","w").write("# -*- coding: utf-8 -*-\\n" + _support_.preparse_worksheet_cell(base64.b64decode("aXNfZGl2aXNpYmxlX2J5KDEyMyk="),globals())+"\\n"); execfile(os.path.abspath("___code___.py"))' + '\n', '', 'single')
  File "", line 1, in <module>
    
  File "/tmp/tmpVJFeeY/___code___.py", line 3, in <module>
    exec compile(u'is_divisible_by(_sage_const_123 )' + '\n', '', 'single')
  File "", line 1, in <module>
    
NameError: name 'is_divisible_by' is not defined

sage: def is_divisible_by(number,divisor=2):
return number%divisor==0
sage: is_divisible_by(123,5)

Traceback (most recent call last):
  File "<stdin>", line 1, in <module>
  File "_sage_input_25.py", line 10, in <module>
    exec compile(u'open("___code___.py","w").write("# -*- coding: utf-8 -*-\\n" + _support_.preparse_worksheet_cell(base64.b64decode("ZGVmIGlzX2RpdmlzaWJsZV9ieShudW1iZXIsZGl2aXNvcj0yKToKaXNfZGl2aXNpYmxlX2J5KDEyMyw1KQ=="),globals())+"\\n"); execfile(os.path.abspath("___code___.py"))' + '\n', '', 'single')
  File "", line 1, in <module>
    
  File "/tmp/tmpnlV8nJ/___code___.py", line 4
    exec compile(u'is_divisible_by(_sage_const_123 ,_sage_const_5 )' + '\n', '', 'single')
       ^
IndentationError: expected an indented block

sage: is_divisible_by(123,5)

Traceback (most recent call last):
  File "<stdin>", line 1, in <module>
  File "_sage_input_26.py", line 10, in <module>
    exec compile(u'open("___code___.py","w").write("# -*- coding: utf-8 -*-\\n" + _support_.preparse_worksheet_cell(base64.b64decode("aXNfZGl2aXNpYmxlX2J5KDEyMyw1KQ=="),globals())+"\\n"); execfile(os.path.abspath("___code___.py"))' + '\n', '', 'single')
  File "", line 1, in <module>
    
  File "/tmp/tmpu4Uepr/___code___.py", line 3, in <module>
    exec compile(u'is_divisible_by(_sage_const_123 ,_sage_const_5 )' + '\n', '', 'single')
  File "", line 1, in <module>
    
NameError: name 'is_divisible_by' is not defined

sage: is_divisible_by(123)

Traceback (most recent call last):
  File "<stdin>", line 1, in <module>
  File "_sage_input_27.py", line 10, in <module>
    exec compile(u'open("___code___.py","w").write("# -*- coding: utf-8 -*-\\n" + _support_.preparse_worksheet_cell(base64.b64decode("aXNfZGl2aXNpYmxlX2J5KDEyMyk="),globals())+"\\n"); execfile(os.path.abspath("___code___.py"))' + '\n', '', 'single')
  File "", line 1, in <module>
    
  File "/tmp/tmpFIAY_V/___code___.py", line 3, in <module>
    exec compile(u'is_divisible_by(_sage_const_123 )' + '\n', '', 'single')
  File "", line 1, in <module>
    
NameError: name 'is_divisible_by' is not defined

sage: a=5

sage: a=5
sage: a

5

sage: a==2

False

sage: 2>3

False

sage: dif is_even(n): 
return n%2==0
sage: is_even(2)

Traceback (most recent call last):
  File "<stdin>", line 1, in <module>
  File "_sage_input_32.py", line 10, in <module>
    exec compile(u'open("___code___.py","w").write("# -*- coding: utf-8 -*-\\n" + _support_.preparse_worksheet_cell(base64.b64decode("ZGlmIGlzX2V2ZW4obik6IAppc19ldmVuKDIp"),globals())+"\\n"); execfile(os.path.abspath("___code___.py"))' + '\n', '', 'single')
  File "", line 1, in <module>
    
  File "/tmp/tmpXbE497/___code___.py", line 3
    dif is_even(n): 
              ^
SyntaxError: invalid syntax

sage: is_even(2)

True

sage: is_even(123)

False

sage: def is_divisible_by(numver,divisor=2):
return number%divisor==0

sage: is_divisible_by(123,5)

Traceback (most recent call last):
  File "<stdin>", line 1, in <module>
  File "_sage_input_39.py", line 10, in <module>
    exec compile(u'open("___code___.py","w").write("# -*- coding: utf-8 -*-\\n" + _support_.preparse_worksheet_cell(base64.b64decode("aXNfZGl2aXNpYmxlX2J5KDEyMyw1KQ=="),globals())+"\\n"); execfile(os.path.abspath("___code___.py"))' + '\n', '', 'single')
  File "", line 1, in <module>
    
  File "/tmp/tmpGbONQL/___code___.py", line 3, in <module>
    exec compile(u'is_divisible_by(_sage_const_123 ,_sage_const_5 )' + '\n', '', 'single')
  File "", line 1, in <module>
    
NameError: name 'is_divisible_by' is not defined

sage: is_divisible_by(123)

Traceback (most recent call last):
  File "<stdin>", line 1, in <module>
  File "_sage_input_40.py", line 10, in <module>
    exec compile(u'open("___code___.py","w").write("# -*- coding: utf-8 -*-\\n" + _support_.preparse_worksheet_cell(base64.b64decode("aXNfZGl2aXNpYmxlX2J5KDEyMyk="),globals())+"\\n"); execfile(os.path.abspath("___code___.py"))' + '\n', '', 'single')
  File "", line 1, in <module>
    
  File "/tmp/tmpGYX43M/___code___.py", line 3, in <module>
    exec compile(u'is_divisible_by(_sage_const_123 )' + '\n', '', 'single')
  File "", line 1, in <module>
    
NameError: name 'is_divisible_by' is not defined

sage: is_divisible_by(123,5)

Traceback (most recent call last):
  File "<stdin>", line 1, in <module>
  File "_sage_input_41.py", line 10, in <module>
    exec compile(u'open("___code___.py","w").write("# -*- coding: utf-8 -*-\\n" + _support_.preparse_worksheet_cell(base64.b64decode("aXNfZGl2aXNpYmxlX2J5KDEyMyw1KQ=="),globals())+"\\n"); execfile(os.path.abspath("___code___.py"))' + '\n', '', 'single')
  File "", line 1, in <module>
    
  File "/tmp/tmpzthBga/___code___.py", line 3, in <module>
    exec compile(u'is_divisible_by(_sage_const_123 ,_sage_const_5 )' + '\n', '', 'single')
  File "", line 1, in <module>
    
NameError: name 'is_divisible_by' is not defined

sage: def is_divisible_by(numver,divisor=2):
return number%divisor==0

Traceback (most recent call last):
  File "<stdin>", line 1, in <module>
  File "_sage_input_3.py", line 10, in <module>
    exec compile(u'open("___code___.py","w").write("# -*- coding: utf-8 -*-\\n" + _support_.preparse_worksheet_cell(base64.b64decode("ZGVmIGlzX2RpdmlzaWJsZV9ieShudW12ZXIsZGl2aXNvcj0yKTo="),globals())+"\\n"); execfile(os.path.abspath("___code___.py"))' + '\n', '', 'single')
  File "", line 1, in <module>
    
  File "/tmp/tmpt4Le0H/___code___.py", line 4
    
                                                       ^
IndentationError: expected an indented block

sage: is_divisible_by(123,5)

Traceback (most recent call last):
  File "<stdin>", line 1, in <module>
  File "_sage_input_4.py", line 10, in <module>
    exec compile(u'open("___code___.py","w").write("# -*- coding: utf-8 -*-\\n" + _support_.preparse_worksheet_cell(base64.b64decode("aXNfZGl2aXNpYmxlX2J5KDEyMyw1KQ=="),globals())+"\\n"); execfile(os.path.abspath("___code___.py"))' + '\n', '', 'single')
  File "", line 1, in <module>
    
  File "/tmp/tmpmN5QZ8/___code___.py", line 3, in <module>
    exec compile(u'is_divisible_by(_sage_const_123 ,_sage_const_5 )' + '\n', '', 'single')
  File "", line 1, in <module>
    
NameError: name 'is_divisible_by' is not defined

sage: def is_divisible_by(numver,divisor=2):
return number%divisor==0
sage: is_divisible_by(123,5)

Traceback (most recent call last):
  File "<stdin>", line 1, in <module>
  File "_sage_input_5.py", line 10, in <module>
    exec compile(u'open("___code___.py","w").write("# -*- coding: utf-8 -*-\\n" + _support_.preparse_worksheet_cell(base64.b64decode("ZGVmIGlzX2RpdmlzaWJsZV9ieShudW12ZXIsZGl2aXNvcj0yKToKaXNfZGl2aXNpYmxlX2J5KDEyMyw1KQ=="),globals())+"\\n"); execfile(os.path.abspath("___code___.py"))' + '\n', '', 'single')
  File "", line 1, in <module>
    
  File "/tmp/tmp2V0RoF/___code___.py", line 4
    exec compile(u'is_divisible_by(_sage_const_123 ,_sage_const_5 )' + '\n', '', 'single')
       ^
IndentationError: expected an indented block

sage: is_divisible_by(123,5)

Traceback (most recent call last):
  File "<stdin>", line 1, in <module>
  File "_sage_input_6.py", line 10, in <module>
    exec compile(u'open("___code___.py","w").write("# -*- coding: utf-8 -*-\\n" + _support_.preparse_worksheet_cell(base64.b64decode("aXNfZGl2aXNpYmxlX2J5KDEyMyw1KQ=="),globals())+"\\n"); execfile(os.path.abspath("___code___.py"))' + '\n', '', 'single')
  File "", line 1, in <module>
    
  File "/tmp/tmplHnVG4/___code___.py", line 3, in <module>
    exec compile(u'is_divisible_by(_sage_const_123 ,_sage_const_5 )' + '\n', '', 'single')
  File "", line 1, in <module>
    
NameError: name 'is_divisible_by' is not defined

sage: is_divisible_by(123,5)

Traceback (most recent call last):
  File "<stdin>", line 1, in <module>
  File "_sage_input_7.py", line 10, in <module>
    exec compile(u'open("___code___.py","w").write("# -*- coding: utf-8 -*-\\n" + _support_.preparse_worksheet_cell(base64.b64decode("aXNfZGl2aXNpYmxlX2J5KDEyMyw1KQ=="),globals())+"\\n"); execfile(os.path.abspath("___code___.py"))' + '\n', '', 'single')
  File "", line 1, in <module>
    
  File "/tmp/tmpATAnNh/___code___.py", line 3, in <module>
    exec compile(u'is_divisible_by(_sage_const_123 ,_sage_const_5 )' + '\n', '', 'single')
  File "", line 1, in <module>
    
NameError: name 'is_divisible_by' is not defined

sage: is_divisible_by(123,5)

Traceback (most recent call last):
  File "<stdin>", line 1, in <module>
  File "_sage_input_8.py", line 10, in <module>
    exec compile(u'open("___code___.py","w").write("# -*- coding: utf-8 -*-\\n" + _support_.preparse_worksheet_cell(base64.b64decode("aXNfZGl2aXNpYmxlX2J5KDEyMyw1KQ=="),globals())+"\\n"); execfile(os.path.abspath("___code___.py"))' + '\n', '', 'single')
  File "", line 1, in <module>
    
  File "/tmp/tmpE7cqah/___code___.py", line 3, in <module>
    exec compile(u'is_divisible_by(_sage_const_123 ,_sage_const_5 )' + '\n', '', 'single')
  File "", line 1, in <module>
    
NameError: name 'is_divisible_by' is not defined

sage: is_divisible_by(123,5)

Traceback (most recent call last):
  File "<stdin>", line 1, in <module>
  File "_sage_input_9.py", line 10, in <module>
    exec compile(u'open("___code___.py","w").write("# -*- coding: utf-8 -*-\\n" + _support_.preparse_worksheet_cell(base64.b64decode("aXNfZGl2aXNpYmxlX2J5KDEyMyw1KQ=="),globals())+"\\n"); execfile(os.path.abspath("___code___.py"))' + '\n', '', 'single')
  File "", line 1, in <module>
    
  File "/tmp/tmprhubBx/___code___.py", line 3, in <module>
    exec compile(u'is_divisible_by(_sage_const_123 ,_sage_const_5 )' + '\n', '', 'single')
  File "", line 1, in <module>
    
NameError: name 'is_divisible_by' is not defined

sage: is_divisible_by(123,5)

Traceback (most recent call last):
  File "<stdin>", line 1, in <module>
  File "_sage_input_10.py", line 10, in <module>
    exec compile(u'open("___code___.py","w").write("# -*- coding: utf-8 -*-\\n" + _support_.preparse_worksheet_cell(base64.b64decode("aXNfZGl2aXNpYmxlX2J5KDEyMyw1KQ=="),globals())+"\\n"); execfile(os.path.abspath("___code___.py"))' + '\n', '', 'single')
  File "", line 1, in <module>
    
  File "/tmp/tmp2klky8/___code___.py", line 3, in <module>
    exec compile(u'is_divisible_by(_sage_const_123 ,_sage_const_5 )' + '\n', '', 'single')
  File "", line 1, in <module>
    
NameError: name 'is_divisible_by' is not defined

sage: is_divisible_by(123,5)

Traceback (most recent call last):
  File "<stdin>", line 1, in <module>
  File "_sage_input_11.py", line 10, in <module>
    exec compile(u'open("___code___.py","w").write("# -*- coding: utf-8 -*-\\n" + _support_.preparse_worksheet_cell(base64.b64decode("aXNfZGl2aXNpYmxlX2J5KDEyMyw1KQ=="),globals())+"\\n"); execfile(os.path.abspath("___code___.py"))' + '\n', '', 'single')
  File "", line 1, in <module>
    
  File "/tmp/tmpTOtsVt/___code___.py", line 3, in <module>
    exec compile(u'is_divisible_by(_sage_const_123 ,_sage_const_5 )' + '\n', '', 'single')
  File "", line 1, in <module>
    
NameError: name 'is_divisible_by' is not defined

sage: is_divisible_by(123,5)

Traceback (most recent call last):
  File "<stdin>", line 1, in <module>
  File "_sage_input_12.py", line 10, in <module>
    exec compile(u'open("___code___.py","w").write("# -*- coding: utf-8 -*-\\n" + _support_.preparse_worksheet_cell(base64.b64decode("aXNfZGl2aXNpYmxlX2J5KDEyMyw1KQ=="),globals())+"\\n"); execfile(os.path.abspath("___code___.py"))' + '\n', '', 'single')
  File "", line 1, in <module>
    
  File "/tmp/tmpjuM4aN/___code___.py", line 3, in <module>
    exec compile(u'is_divisible_by(_sage_const_123 ,_sage_const_5 )' + '\n', '', 'single')
  File "", line 1, in <module>
    
NameError: name 'is_divisible_by' is not defined

sage: a=5
a

sage: def is_even(n):
return n%2==0
sage: is_even(2)

Traceback (most recent call last):
  File "<stdin>", line 1, in <module>
  File "_sage_input_3.py", line 10, in <module>
    exec compile(u'open("___code___.py","w").write("# -*- coding: utf-8 -*-\\n" + _support_.preparse_worksheet_cell(base64.b64decode("ZGVmIGlzX2V2ZW4obik6CmlzX2V2ZW4oMik="),globals())+"\\n"); execfile(os.path.abspath("___code___.py"))' + '\n', '', 'single')
  File "", line 1, in <module>
    
  File "/tmp/tmpE3M8iG/___code___.py", line 4
    exec compile(u'is_even(_sage_const_2 )' + '\n', '', 'single')
       ^
IndentationError: expected an indented block

sage: dif is_even(n):

sage: def is_divisible_by(number,divisor=2):
    return number%divisor==0

Traceback (most recent call last):
  File "<stdin>", line 1, in <module>
  File "_sage_input_3.py", line 10, in <module>
    exec compile(u'open("___code___.py","w").write("# -*- coding: utf-8 -*-\\n" + _support_.preparse_worksheet_cell(base64.b64decode("ZGVmIGlzX2RpdmlzaWJsZV9ieShudW1iZXIsZGl2aXNvcj0yKTo="),globals())+"\\n"); execfile(os.path.abspath("___code___.py"))' + '\n', '', 'single')
  File "", line 1, in <module>
    
  File "/tmp/tmpQQuxeS/___code___.py", line 4
    
                                                       ^
IndentationError: expected an indented block

sage: def is_divisible_by(numver,divisor=2):
    return number%divisor==0
sage: is_divisible_by(123,5)

Traceback (most recent call last):
  File "<stdin>", line 1, in <module>
  File "_sage_input_4.py", line 10, in <module>
    exec compile(u'open("___code___.py","w").write("# -*- coding: utf-8 -*-\\n" + _support_.preparse_worksheet_cell(base64.b64decode("ZGVmIGlzX2RpdmlzaWJsZV9ieShudW12ZXIsZGl2aXNvcj0yKToKaXNfZGl2aXNpYmxlX2J5KDEyMyw1KQ=="),globals())+"\\n"); execfile(os.path.abspath("___code___.py"))' + '\n', '', 'single')
  File "", line 1, in <module>
    
  File "/tmp/tmp4slva_/___code___.py", line 4
    exec compile(u'is_divisible_by(_sage_const_123 ,_sage_const_5 )' + '\n', '', 'single')
       ^
IndentationError: expected an indented block

sage: is_divisible_by(123,5)

Traceback (most recent call last):
  File "<stdin>", line 1, in <module>
  File "_sage_input_3.py", line 10, in <module>
    exec compile(u'open("___code___.py","w").write("# -*- coding: utf-8 -*-\\n" + _support_.preparse_worksheet_cell(base64.b64decode("aXNfZGl2aXNpYmxlX2J5KDEyMyw1KQ=="),globals())+"\\n"); execfile(os.path.abspath("___code___.py"))' + '\n', '', 'single')
  File "", line 1, in <module>
    
  File "/tmp/tmpdizB4U/___code___.py", line 3, in <module>
    exec compile(u'is_divisible_by(_sage_const_123 ,_sage_const_5 )' + '\n', '', 'single')
  File "", line 1, in <module>
    
NameError: name 'is_divisible_by' is not defined