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boolean_expressions#0
boolean_expressions
not ( True ) and ( True ) is
False
not(True) = False. Then False and True = False. Answer: False
null
boolean_expressions#1
boolean_expressions
True and not not ( not False ) is
True
Start from the innermost expression: - `not False` = True - `not not (not False)` = `not not True` = `not False` = True - `True and True` = True Answer: True
null
boolean_expressions#10
boolean_expressions
False or ( False ) and not False is
False
Evaluate step by step using operator precedence (not > and > or): 1. `not False` = True 2. `(False) and True` = False 3. `False or False` = False Answer: False
null
boolean_expressions#100
boolean_expressions
False or not False or not not True is
True
Evaluate each term: - "False" = False - "not False" = True - "not not True" = not False = True Now combine left to right: False or True = True True or True = True Answer: True
null
boolean_expressions#101
boolean_expressions
( True or not False ) or False is
True
"not False" = True. "True or True" = True. Then "True or False" = True. Answer: True
null
boolean_expressions#103
boolean_expressions
not False and not True and not False is
False
Evaluate left to right: - `not False` = True - `not True` = False - `not False` = True Now combine with `and`: - `True and False` = False - `False and True` = False Answer: False
null
boolean_expressions#104
boolean_expressions
False and ( True and not False ) is
False
Start with the innermost expression: not False = True. Then True and True = True. Finally, False and True = False. Answer: False
null
boolean_expressions#105
boolean_expressions
not False or ( False ) or True is
True
Evaluate step by step: 1. `not False` = `True` 2. `True or (False)` = `True` (short-circuit: once True is found, result is True) 3. `True or True` = `True` Answer: True
null
boolean_expressions#106
boolean_expressions
False and not ( False and True ) is
False
Start with the inner expression: False and True = False. Then not (False) = True. Finally, False and True = False. Answer: False
null
boolean_expressions#107
boolean_expressions
( True or not not not False ) is
True
Start with `False`. `not False` = True `not not False` = not True = False `not not not False` = not False = True Now evaluate: `True or True` = True Answer: True
null
boolean_expressions#108
boolean_expressions
False and ( False or not False ) is
False
Start with the innermost expression: not False = True. Then False or True = True. Finally, False and True = False. Answer: False
null
boolean_expressions#109
boolean_expressions
False or not True or True and False is
False
Evaluate using standard operator precedence (NOT > AND > OR): 1. `not True` = False 2. `True and False` = False 3. Now: `False or False or False` - `False or False` = False - `False or False` = False Answer: False
null
boolean_expressions#11
boolean_expressions
not False or True and False and False is
True
Applying Python operator precedence: `not` binds tightest, then `and`, then `or`. 1. `not False` = `True` 2. `True and False` = `False` (leftmost `and`) 3. `False and False` = `False` (next `and`) 4. `True or False` = `True` (the `or`) So the full expression: `(not False) or (True and False and False)` = `True or Fal...
null
boolean_expressions#110
boolean_expressions
True and not True or True and True is
True
Evaluate using standard precedence (NOT > AND > OR): 1. `not True` = False 2. `True and False` = False (left side of OR) 3. `True and True` = True (right side of OR) 4. `False or True` = True Answer: True
null
boolean_expressions#111
boolean_expressions
( not False or ( True ) ) is
True
"not False" = True. So the expression is (True or True) = True. Answer: True
null
boolean_expressions#112
boolean_expressions
( ( not ( True ) ) ) is
False
Start with True. Apply `not`: not(True) = False. The extra parentheses don't change the value. Answer: False
null
boolean_expressions#113
boolean_expressions
False and False and not ( False ) is
False
Evaluate step by step: 1. `not(False)` = True 2. `False and False` = False 3. `False and True` = False Answer: False
null
boolean_expressions#114
boolean_expressions
not True and not True and not True is
False
Evaluate each part: "not True" = False. So the expression is False and False and False. Any AND with False yields False. Therefore the entire expression is False. Answer: False
null
boolean_expressions#115
boolean_expressions
not ( True or False ) or True is
True
Step 1: Evaluate the inner expression: True or False = True. Step 2: Apply not: not True = False. Step 3: Evaluate: False or True = True. Answer: True
null
boolean_expressions#116
boolean_expressions
False or ( True ) or not True is
True
Evaluate step by step: 1. `not True` = False 2. `True` (the parenthesized term) = True 3. `False or True or False` Left to right: `False or True` = True, then `True or False` = True. Answer: True
null
boolean_expressions#117
boolean_expressions
False or False and False or not True is
False
Evaluate step by step using standard operator precedence (not > and > or): 1. `not True` = False 2. `False and False` = False 3. Now: `False or False or False` - `False or False` = False - `False or False` = False Answer: False
null
boolean_expressions#118
boolean_expressions
True or False or not True or False is
True
Evaluate left to right with standard operator precedence (NOT binds tighter than AND/OR, but here we parse the expression): "True or False or not True or False" - "not True" = False - So the expression becomes: True or False or False or False - True or False = True - True or False = True - True or False = True Answe...
null
boolean_expressions#12
boolean_expressions
not True or False or not not True is
True
Evaluate step by step: 1. `not True` = False 2. `not not True` = `not False` = True 3. Now combine: `False or False or True` - `False or False` = False - `False or True` = True Answer: True
null
boolean_expressions#120
boolean_expressions
not True and True or True and False is
False
Evaluate step by step using standard precedence (NOT > AND > OR): 1. `not True` = False 2. `False and True` = False 3. `True and False` = False 4. `False or False` = False Answer: False
null
boolean_expressions#121
boolean_expressions
not False or ( True or True ) is
True
"not False" evaluates to True. Since the first operand of `or` is True, the entire expression is True regardless of the second operand (short-circuit evaluation). The second part `(True or True)` is also True, but it doesn't matter. True or True = True. Answer: True
null
boolean_expressions#122
boolean_expressions
not ( False or ( False ) ) is
True
Start inside: False or False = False. Then not(False) = True. Answer: True
null
boolean_expressions#123
boolean_expressions
not ( True or True ) and True is
False
Evaluate step by step: 1. `True or True` = `True` 2. `not True` = `False` 3. `False and True` = `False` Answer: False
null
boolean_expressions#124
boolean_expressions
False or not False or True or True is
True
Evaluate left to right: - "not False" = True - "False or True" = True - "True or True" = True - "True or True" = True Answer: True
null
boolean_expressions#125
boolean_expressions
False or False and not not not False is
False
Evaluate step by step: 1. `not False` = True 2. `not True` = False 3. `not False` = True (this is `not not not False`) 4. `False and True` = False (this is `False and not not not False`) 5. `False or False` = False (this is `False or False and not not not False`, where `and` binds tighter than `or`) So the full expre...
null
boolean_expressions#126
boolean_expressions
not ( True or False or True ) is
False
Evaluate inside the parentheses first: True or False = True, then True or True = True. Apply not: not(True) = False. Answer: False
null
boolean_expressions#127
boolean_expressions
( False ) or not True and False is
False
Evaluate step by step using operator precedence (not > and > or): 1. `not True` = False 2. `False and False` = False (the `and` binds `not True` with the right `False`) 3. `False or False` = False Answer: False
null
boolean_expressions#128
boolean_expressions
True and True and not not not False is
True
Evaluate step by step: 1. `not False` = True 2. `not not False` = `not True` = False 3. `not not not False` = `not False` = True 4. `True and True` = True 5. `True and True` (result from step 4) `and` True (from step 3) = True Answer: True
null
boolean_expressions#129
boolean_expressions
( True ) or True and not True is
True
Evaluate step by step: 1. `not True` = False 2. `True and False` = False 3. `(True) or False` = True Answer: True
null
boolean_expressions#13
boolean_expressions
True and True and False and not True is
False
Evaluate left to right: - True and True = True - True and False = False - False and (not True) = False and False = False Answer: False
null
boolean_expressions#130
boolean_expressions
False and False and not True and False is
False
Evaluate left to right: - `False and False` → False - `False and (not True)` = `False and False` → False - `False and False` → False Answer: False
null
boolean_expressions#131
boolean_expressions
( True ) and not True or True is
True
Evaluate step by step using operator precedence (not > and > or): 1. `not True` = False 2. `True and False` = False (the `and` binds `True` with `not True`) 3. `False or True` = True Answer: True
null
boolean_expressions#132
boolean_expressions
not not not True and False and False is
False
Step by step: 1. `not True` = False 2. `not False` = True 3. `not True` = False So `not not not True` = False 4. `False and False` = False 5. `False and False` = False Answer: False
null
boolean_expressions#133
boolean_expressions
False and False and not not not True is
False
Evaluate step by step: 1. `not True` = False 2. `not not True` = `not False` = True 3. `not not not True` = `not True` = False 4. `False and False` = False 5. `False and False` = False (the full expression: `False and False and False`) So: False and False = False, then False and False = False. Answer: False
null
boolean_expressions#134
boolean_expressions
False and False or False or not True is
False
Evaluate step by step using standard operator precedence (not > and > or): 1. `not True` = False 2. `False and False` = False 3. Now: `False or False or False` 4. `False or False` = False 5. `False or False` = False Answer: False
null
boolean_expressions#135
boolean_expressions
False or ( not ( False ) ) is
True
not(False) = True. Then False or True = True. Answer: True
null
boolean_expressions#136
boolean_expressions
not True and True and not not False is
False
Evaluate step by step: - "not True" = False - "not not False" = "not True" = False - Expression: False and True and False - False and True = False - False and False = False Answer: False
null
boolean_expressions#137
boolean_expressions
( False ) and ( not False ) is
False
Evaluate step by step: 1. `not False` = True 2. `False and True`: the `and` operator requires both operands to be True. Since the left operand is False, the result is False. Answer: False
null
boolean_expressions#138
boolean_expressions
( not True ) and True or True is
True
Evaluate step by step using standard operator precedence (not > and > or): 1. `not True` = `False` 2. `False and True` = `False` 3. `False or True` = `True` Answer: True
null
boolean_expressions#139
boolean_expressions
False and True and ( not False ) is
False
Evaluate left to right: 1. `not False` = True 2. `False and True` = False (short-circuit: first operand is False, so result is False) 3. `False and True` = False (the result from step 2 `and` the result of `not False`=True → False and True = False) Answer: False
null
boolean_expressions#14
boolean_expressions
not not True and not True or True is
True
Evaluate step by step using Python operator precedence (not > and > or): 1. `not not True` = `not False` = `True` 2. `not True` = `False` 3. `True and False` = `False` (the `and` binds `not not True` with `not True`) 4. `False or True` = `True` Answer: True
null
boolean_expressions#140
boolean_expressions
( ( True ) ) or not False is
True
Evaluate step by step: 1. `( ( True ) )` = True (parentheses don't change the value) 2. `not False` = True 3. `True or True` = True Answer: True
null
boolean_expressions#141
boolean_expressions
not True and False or False or True is
True
Evaluate step by step using standard precedence (not > and > or): 1. `not True` = False 2. `False and False` = False 3. Now: `False or False or True` 4. `False or False` = False 5. `False or True` = True Answer: True
null
boolean_expressions#15
boolean_expressions
not not not ( True and False ) is
True
Start inside: True and False = False. Then apply three "not"s: not False = True, not True = False, not False = True. Answer: True
null
boolean_expressions#153
boolean_expressions
False or ( True and not True ) is
False
Start with the innermost expression: not True = False. Then True and False = False. Finally, False or False = False. Answer: False
null
boolean_expressions#155
boolean_expressions
( False or not not not False ) is
True
Start with the innermost: `not False` = True, `not True` = False, `not False` = True. So the expression becomes `False or True` = True. Answer: True
null
boolean_expressions#156
boolean_expressions
( not False ) or True and False is
True
Evaluate step by step using Python/standard operator precedence (not > and > or): 1. `not False` = `True` 2. `True and False` = `False` 3. `True or False` = `True` Answer: True
null
boolean_expressions#159
boolean_expressions
( False ) and False or not False is
True
Evaluate step by step using operator precedence (not > and > or): 1. `not False` = True 2. `(False) and False` = False (False AND anything = False) 3. `False or True` = True Answer: True
null
boolean_expressions#16
boolean_expressions
not not False and not not not False is
False
Step by step: 1. `not not False` = `not True` = `False` 2. `not not not False` = `not not True` = `not False` = `True` 3. `False and True` = `False` Answer: False
null
boolean_expressions#160
boolean_expressions
not False and True or ( True ) is
True
Evaluate step by step: 1. `not False` = `True` 2. `True and True` = `True` 3. `(True)` = `True` 4. `True or True` = `True` Answer: True
null
boolean_expressions#161
boolean_expressions
True or not not ( not False ) is
True
Start from the innermost expression: - `not False` = True - `not ( not False )` = `not True` = False - `not not ( not False )` = `not False` = True - `True or True` = True Answer: True
null
boolean_expressions#162
boolean_expressions
False and not True and False and True is
False
Evaluate left to right: - `False and not True` → `False and False` → `False` - `False and False` → `False` - `False and True` → `False` Answer: False
null
boolean_expressions#164
boolean_expressions
not False or not ( not False ) is
True
not False = True not (not False) = not True = False True or False = True Answer: True
null
boolean_expressions#165
boolean_expressions
not not ( True ) or not True is
True
Evaluate step by step: 1. `not True` = False 2. `not not (True)` = `not (not True)` = `not False` = True 3. `True or not True` = `True or False` = True Answer: True
null
boolean_expressions#166
boolean_expressions
( True and not True and True ) is
False
Evaluate left to right: - `not True` = False - `True and False` = False - `False and True` = False Answer: False
null
boolean_expressions#168
boolean_expressions
not True or True and False and False is
False
Evaluate using Python-style operator precedence (not > and > or): 1. `not True` = False 2. `True and False` = False 3. `False and False` = False (step 2 result AND False) 4. `False or False` = False (step 1 result OR step 3 result) Answer: False
null
boolean_expressions#169
boolean_expressions
True and not not not not not True is
False
Start with the innermost: "not True" = False. Then apply the remaining "not"s one by one: - not not not not not True - = not not not not False - = not not not True - = not not False - = not True - = False So the full expression is "True and False" = False. Answer: False
null
boolean_expressions#17
boolean_expressions
( True and not True and False ) is
False
Evaluate left to right: - `not True` = False - `True and False` = False - `False and False` = False Answer: False
null
boolean_expressions#170
boolean_expressions
not True and ( False ) and False is
False
"not True" = False. Now evaluate: False and (False) and False. Since the first operand is False, short-circuit evaluation stops immediately — the entire expression is False regardless of remaining operands. Answer: False
null
boolean_expressions#171
boolean_expressions
False and False or not True and False is
False
Evaluate step by step using Python-like operator precedence (not > and > or): 1. `not True` = False 2. `False and False` = False (leftmost `and`) 3. `False and False` = False (`not True and False`) 4. Now: `False or False` = False Full expression: `(False and False) or (not True and False)` = `False or (False and Fal...
null
boolean_expressions#173
boolean_expressions
not ( False or False or True ) is
False
Evaluate the inner expression first: False or False = False, then False or True = True. Apply not: not(True) = False. Answer: False
null
boolean_expressions#174
boolean_expressions
not False or True or True and False is
True
Evaluate using Python operator precedence: `not` > `and` > `or`. 1. `not False` = `True` 2. `True and False` = `False` Expression becomes: `True or True or False` 3. `True or True` = `True` 4. `True or False` = `True` Answer: True
null
boolean_expressions#175
boolean_expressions
not False and False or False or False is
False
Evaluate step by step using standard precedence (not > and > or): 1. `not False` = True 2. `True and False` = False 3. `False or False` = False 4. `False or False` = False Answer: False
null
boolean_expressions#176
boolean_expressions
( not True ) and ( False ) is
False
"not True" evaluates to False. Then False AND False: both operands must be True for AND to return True; since both are False, the result is False. Answer: False
null
boolean_expressions#177
boolean_expressions
True and not not False and not False is
False
Evaluate step by step: 1. `not False` = True 2. `not not False` = `not True` = False 3. `True and False` = False (left part: `True and not not False`) 4. `not False` = True 5. `False and True` = False Answer: False
null
boolean_expressions#179
boolean_expressions
not ( not False ) and not False is
False
Step through the expression: 1. `not False` = True 2. `not (not False)` = `not True` = False 3. `not False` = True 4. `False and True` = False Answer: False
null
boolean_expressions#18
boolean_expressions
False and False and False or not False is
True
Evaluate step by step using standard operator precedence (not > and > or): 1. `not False` = True 2. `False and False` = False 3. `False and False` (result) `and False` = False 4. `False or True` = True Answer: True
null
boolean_expressions#181
boolean_expressions
( not not not True and True ) is
False
Start inside: `not True` = False, `not False` = True, `not True` = False. So `not not not True` = False. Then `False and True` = False. Answer: False
null
boolean_expressions#182
boolean_expressions
False and not ( True ) or True is
True
Evaluate step by step using standard precedence (not > and > or): 1. `not (True)` = `False` 2. `False and False` = `False` (the "and" binds "False" with the result of not) 3. `False or True` = `True` Answer: True
null
boolean_expressions#183
boolean_expressions
( not True and False or True ) is
True
Evaluate step by step: 1. `not True` = False 2. `False and False` = False (left to right: `not True and False`) 3. `False or True` = True Answer: True
null
boolean_expressions#184
boolean_expressions
not ( not not True ) or False is
False
Start with the innermost: `not True` = False. Then `not False` = True. So `not not True` = True. Then `not (not not True)` = `not True` = False. Finally, `False or False` = False. Answer: False
null
boolean_expressions#185
boolean_expressions
( not False ) or ( False ) is
True
"not False" evaluates to True. Then we have True or False. Since at least one operand is True, the OR expression is True. Answer: True
null
boolean_expressions#186
boolean_expressions
not not not False and True and False is
False
Step through the expression left to right with standard precedence (not binds tightest, then and): 1. `not False` = True 2. `not True` = False 3. `not False` = True 4. `True and True` = True (first `and` with the trailing `True`) 5. `True and False` = False (second `and` with `False`) Answer: False
null
boolean_expressions#187
boolean_expressions
True or not True or not not True is
True
Evaluate left to right with standard precedence (not binds tightest, then or): 1. `not not True` = `not False` = `True` 2. `not True` = `False` 3. Expression becomes: `True or False or True` 4. `True or False` = `True` 5. `True or True` = `True` Answer: True
null
boolean_expressions#188
boolean_expressions
not False or not not False and False is
True
Evaluate step by step using Python operator precedence (not > and > or): 1. `not False` = True 2. `not not False` = `not True` = False 3. `False and False` = False (step 2's result `and` False) 4. `True or False` = True (step 1's result `or` step 3's result) Answer: True
null
boolean_expressions#189
boolean_expressions
not False and ( False or False ) is
False
Evaluate step by step: 1. `False or False` = False 2. `not False` = True 3. `True and False` = False Answer: False
null
boolean_expressions#19
boolean_expressions
False or ( False and not False ) is
False
Evaluate step by step: 1. `not False` = True 2. `False and True` = False 3. `False or False` = False Answer: False
null
boolean_expressions#190
boolean_expressions
False and True or ( not False ) is
True
Evaluate step by step using standard operator precedence (not > and > or): 1. `not False` = True 2. `False and True` = False (and before or) 3. `False or True` = True Answer: True
null
boolean_expressions#191
boolean_expressions
False and not False and ( False ) is
False
Evaluate left to right: 1. `False and not False` → `False and True` → `False` 2. `False and (False)` → `False and False` → `False` Answer: False
null
boolean_expressions#192
boolean_expressions
not ( ( False and True ) ) is
True
First, evaluate the inner expression: False and True = False. Then apply not: not(False) = True. Answer: True
null
boolean_expressions#193
boolean_expressions
False or ( not False ) and False is
False
Evaluate step by step using standard operator precedence (not > and > or): 1. `not False` = True 2. `True and False` = False 3. `False or False` = False Answer: False
null
boolean_expressions#194
boolean_expressions
False and not False or False and True is
False
Evaluate step by step using standard precedence (not > and > or): 1. `not False` = True 2. `False and True` = False (left side of `and`) 3. `False and not False` = `False and True` = False 4. `False and True` = False (right side) 5. `False or False` = False So the full expression: `(False and (not False)) or (False a...
null
boolean_expressions#195
boolean_expressions
not False and not not True and True is
True
Evaluate step by step: - `not False` = True - `not not True` = `not False` = True - The expression: `True and True and True` - `True and True` = True - `True and True` = True Answer: True
null
boolean_expressions#196
boolean_expressions
True and True or False and not True is
True
Evaluate step by step using standard precedence (not > and > or): 1. `not True` = False 2. `True and True` = True 3. `False and False` = False (i.e., `False and not True`) 4. `True or False` = True So the full expression: `(True and True) or (False and not True)` = `True or False` = True. Answer: True
null
boolean_expressions#197
boolean_expressions
not True or False and True or False is
False
Evaluate using Python-style operator precedence: `not` > `and` > `or`. Expression: `not True or False and True or False` Step 1: `not True` = `False` Expression becomes: `False or False and True or False` Step 2: `False and True` = `False` Expression becomes: `False or False or False` Step 3: `False or False` = `...
null
boolean_expressions#198
boolean_expressions
True or False or not True and True is
True
Evaluate step by step using standard operator precedence (not > and > or): 1. `not True` = False 2. `False or not True` → wait, let me re-parse: `True or False or not True and True` Expression: `True or False or not True and True` Precedence: `not` first, then `and`, then `or`. 1. `not True` = False 2. `False and T...
null
boolean_expressions#199
boolean_expressions
False or False or not True or False is
False
Evaluate each term: - False = False - False = False - not True = False - False = False Now combine left to right: False or False = False False or False = False False or False = False Answer: False
null
boolean_expressions#2
boolean_expressions
not True or False or ( False ) is
False
Evaluate step by step: 1. `not True` = `False` 2. `(False)` = `False` 3. `False or False or False` First: `False or False` = `False` Then: `False or False` = `False` Answer: False
null
boolean_expressions#20
boolean_expressions
True and False or ( not True ) is
False
Evaluate step by step: 1. `not True` = False 2. `True and False` = False (AND requires both operands to be True) 3. `False or False` = False (OR requires at least one operand to be True) Answer: False
null
boolean_expressions#200
boolean_expressions
False or False or True and not False is
True
Evaluate step by step using standard precedence (not > and > or): 1. `not False` = True 2. `True and True` = True (the "True and not False" part) 3. `False or False or True` = `False or True` = True So the full expression: `False or False or True and not False` = `False or False or (True and True)` = `False or False ...
null
boolean_expressions#201
boolean_expressions
( not ( True or False ) ) is
False
True or False = True. not(True) = False. Answer: False
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boolean_expressions#202
boolean_expressions
not False and False or True and True is
True
Evaluate step by step using Python operator precedence (not > and > or): 1. `not False` = True 2. `True and False` = False 3. `True and True` = True 4. `False or True` = True Answer: True
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boolean_expressions#203
boolean_expressions
True and False or ( not False ) is
True
Evaluate step by step using operator precedence (not > and > or): 1. `not False` = `True` 2. `True and False` = `False` 3. `False or True` = `True` Answer: True
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boolean_expressions#204
boolean_expressions
not False or not not not not True is
True
Evaluate step by step: 1. `not False` = True 2. `not not not not True`: apply four negations to True → not True = False → not False = True → not True = False → not False = True 3. `True or True` = True Answer: True
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boolean_expressions#205
boolean_expressions
True and ( not ( True ) ) is
False
Start with the innermost expression: not(True) = False. Then evaluate: True AND False = False. Answer: False
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boolean_expressions#206
boolean_expressions
True and False and not True or False is
False
Evaluate step by step using standard operator precedence (not > and > or): 1. `not True` = False 2. `True and False` = False 3. `False and False` (result of step 1 applied: actually, `True and False and not True` = `True and False and False` = False) 4. Now: `False or False` = False More carefully: `(True and False a...
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