env stringclasses 1
value | prompt stringlengths 85 3.69k | extra dict |
|---|---|---|
logic-v2 | Here are some boolean expressions to evaluate:
A. not not ((((not not (not (90 is a perfect square.))) or (((8 * -13) < (-18 - -6) < (44 % 4)) or ((-1 + 17) <= (5 - -8))) or (((11 * 19) == (-4 - -15)) or (A turtle is a bird.))) and (not (not (((-7 * 8) != (9 + 15)) and ((7 * -2) <= (-18 + 10)))))) or (not not (not (((... | {
"game_data": {
"answer": "A,B,C",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 6,
"language": "en",
"num_options": 4,
"seed": 73863295,
"true_count": 3
},
"question": "Here are some boolean expressions to evaluate:\n\nA. not not ((((not not (not (... |
logic-v2 | 审视以下逻辑表达式：
A. (not ((((not not (地球是距离太阳第6近的行星。)) or (((-17 + -1) >= (1 * 13)) and (波兰的首都是布宜诺斯艾利斯。))) or ((菲律宾的货币是欧元。) and ((-2 * 7 * 0 * 10) <= (-8 + 19) <= (8 * -7 - 6 * -7))) or (铀的化学符号是He。)) and (not ((not (印度尼西亚的货币是印尼盾。)) and ((电流比光速更快。) and ((12 + -8) >= (1 - -7))))))) and ((not (((12 * 13) <= (-19 + 2)) and (not... | {
"game_data": {
"answer": "A,B,D",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 6,
"language": "cn",
"num_options": 4,
"seed": 46821680,
"true_count": 3
},
"question": "审视以下逻辑表达式：\n\nA. (not ((((not not (地球是距离太阳第6近的行星。)) or (((-17 + -1) >= (1 * 13)... |
logic-v2 | Here are some boolean expressions to evaluate:
A. not (((not ((17 * 11) <= (-18 - 5) <= (1 - 6))) or ((31 % 4) == (-10 * 19)) or ((The chemical symbol for Neon is He.) or (380 is a Fibonacci number.))) or ((not not (not not (((11 % 2) < (8 * -8 - 3 * 7)) and ((13 - -13) > (2 - -4))))) and ((not (The capital of Thailan... | {
"game_data": {
"answer": "C",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 6,
"language": "en",
"num_options": 4,
"seed": 36837692,
"true_count": 1
},
"question": "Here are some boolean expressions to evaluate:\n\nA. not (((not ((17 * 11) <= (-18 ... |
logic-v2 | Review these logical expressions:
A. not (not not ((20 is a prime number.) and ((2 * 9) <= (14 * 11) <= (2 ** 1))))
B. (not (not not (((11 * -18) < (2 ** 3)) and ((The currency of Indonesia is the Yen.) or (The chemical symbol for Gold is Au.))))) or ((not (((Oil is a liquid at room temperature.) or ((3 + -9) <= (5 + ... | {
"game_data": {
"answer": "A,D",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 5,
"language": "en",
"num_options": 4,
"seed": 68400700,
"true_count": 2
},
"question": "Review these logical expressions:\n\nA. not (not not ((20 is a prime number.) and... |
logic-v2 | Consider the following logical expressions:
A. Diamonds are made of carbon.
B. not not (((not not (Kenya is in South America.)) and ((not (Carbon dioxide is a gas at room temperature.)) and ((2 ** 1) > (0 * 15))) and ((((-10 * -10 - -9 * 9) != (4 - -2)) or (not ((7 * -6 * 4 * 7) >= (-19 + 3)))) and ((-3 * 5 - -3 * -6)... | {
"game_data": {
"answer": "A",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 6,
"language": "en",
"num_options": 3,
"seed": 30612824,
"true_count": 1
},
"question": "Consider the following logical expressions:\n\nA. Diamonds are made of carbon.\nB. ... |
logic-v2 | Analyze these boolean expressions:
A. not not ((not not ((not (Earth is the 4th planet from the Sun.)) or ((22 % 10) > (-1 - -15)))) and (not (((-1 - -6) > (-3 + -7)) or ((-2 - -5) == (-18 * -1)))) and (not not ((((-14 * 5) <= (7 + 15) <= (-10 * 10 + -10 * -7)) or ((-9 * -8 * 1 * 3) <= (3 ** 1))) and ((-7 * -8 - 7 * 5... | {
"game_data": {
"answer": "D,E,F",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 5,
"language": "en",
"num_options": 8,
"seed": 79371012,
"true_count": 3
},
"question": "Analyze these boolean expressions:\n\nA. not not ((not not ((not (Earth is the ... |
logic-v2 | Evaluate the following boolean expressions and select the ones that are true:
A. (not (not not (((The human body has 150 bones.) or ((7 * 2 * -10 * 2) >= (-7 * 5 - -5 * -1))) or (not ((-4 * -1 + -1 * -1) > (6 + -3)))))) and (((The 1964 Olympics were held in Helsinki.) and (not not (((4 - 2) < (27 % 6)) or ((3 - 5) != ... | {
"game_data": {
"answer": "A,G",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 5,
"language": "en",
"num_options": 7,
"seed": 51410994,
"true_count": 2
},
"question": "Evaluate the following boolean expressions and select the ones that are true:\n\n... |
logic-v2 | Review these logical expressions:
A. ((not ((((-6 - -20) < (4 ** 3)) and (Mercury is a gas at room temperature.)) and (((-7 + 11) == (5 ** 1)) and ((1 ** 1) >= (1 ** 2))))) or (not not ((The capital of Austria is Vienna.) and ((1 ** 1) <= (0 * -3))))) and ((not not ((5 * 20) <= (18 * 2) <= (-11 * 9))) or ((not not ((F... | {
"game_data": {
"answer": "B,C,E,F",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 5,
"language": "en",
"num_options": 6,
"seed": 43908465,
"true_count": 4
},
"question": "Review these logical expressions:\n\nA. ((not ((((-6 - -20) < (4 ** 3)) and (... |
logic-v2 | Evaluate the following boolean expressions and select the ones that are true:
A. Oxygen is necessary for human survival.
B. not not (not not (not ((((The currency of Argentina is the Peso.) and (The capital of Greece is Manila.)) and ((Japan is in Europe.) or (There are 31 days in January.))) or (((14 - -10) >= (-13 -... | {
"game_data": {
"answer": "A",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 6,
"language": "en",
"num_options": 3,
"seed": 27493529,
"true_count": 1
},
"question": "Evaluate the following boolean expressions and select the ones that are true:\n\nA.... |
logic-v2 | 这里有一些需要评估的布尔表达式：
A. (not (((83是偶数。) and (((2 ** 2) < (-1 * 2 * 9 * 5) < (9 * 0)) and (日本位于北美洲。))) and (not (not ((-16 - -7) <= (-10 - -10) <= (18 - -7)))))) or (not (not ((-16 + -16) == (-4 * -6 - 8 * -4))))
B. ((not ((not ((9 + -9) <= (6 * 5 + 1 * -1) <= (2 - 14))) and (((-11 + -8) >= (12 * -6)) or ((15 % 6) < (40 % ... | {
"game_data": {
"answer": "A,C,D",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 5,
"language": "cn",
"num_options": 6,
"seed": 48886026,
"true_count": 3
},
"question": "这里有一些需要评估的布尔表达式：\n\nA. (not (((83是偶数。) and (((2 ** 2) < (-1 * 2 * 9 * 5) < (9 *... |
logic-v2 | Consider the following logical expressions:
A. ((14 - 10) > (-5 + -2)) or (((3 ** 3) == (16 - 7)) and (((18 + 9) >= (-10 - -16)) and ((5 ** 3) == (-17 + -10))))
B. not ((-5 * 4 * 3 * -5) != (50 % 10))
C. (Brazil is in Europe.) and (2058 is a leap year.) and ((not ((3 ** 1) > (48 % 7))) and ((Bats are blind.) and (Indo... | {
"game_data": {
"answer": "A,E,F",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 3,
"language": "en",
"num_options": 8,
"seed": 20198274,
"true_count": 3
},
"question": "Consider the following logical expressions:\n\nA. ((14 - 10) > (-5 + -2)) or ((... |
logic-v2 | Examine these expressions:
A. ((The capital of Philippines is Singapore.) and ((17 * -5) <= (16 * 11) <= (4 + 2))) and (((-6 * 1) == (2 ** 3)) or ((-8 - 9) <= (3 ** 1)))
B. (5 + -17) <= (16 - -19) <= (2 ** 2)
C. Gold is a solid at room temperature.
D. ((There are 31 days in November.) and (The capital of Romania is Pa... | {
"game_data": {
"answer": "C,E",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 2,
"language": "en",
"num_options": 5,
"seed": 99132903,
"true_count": 2
},
"question": "Examine these expressions:\n\nA. ((The capital of Philippines is Singapore.) and ... |
logic-v2 | Examine these expressions:
A. (18 + -6) <= (17 * -10) <= (-5 - -15)
B. (not not ((36 % 7) <= (1 * -5 - -6 * -2))) and ((A horse has 4 legs.) and (The 1920 Olympics were held in Munich.))
C. (12 % 6) > (-11 - 12)
D. (-7 + -14) == (20 % 1)
Which ones are true? List the labels of all true options in \boxed{}, separated ... | {
"game_data": {
"answer": "C",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 2,
"language": "en",
"num_options": 4,
"seed": 52541270,
"true_count": 1
},
"question": "Examine these expressions:\n\nA. (18 + -6) <= (17 * -10) <= (-5 - -15)\nB. (not not... |
logic-v2 | 请评估以下布尔表达式，选择其中为真的选项：
A. not not (not not (not not (not not ((not ((-16 * 15) >= (3 * -10 - -4 * -2))) or (((-6 * 7) <= (3 ** 2)) and (第一次世界大战开始发生在1914年。))))))
B. (((not not ((10 * -9 + 9 * 5) < (19 + 10))) and (((13 - 13) > (4 ** 1)) or (not not (((0 - -17) < (2 ** 3)) or ((2 + 13) >= (11 * 15)))))) or (not (not ((((... | {
"game_data": {
"answer": "A,B,F",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 6,
"language": "cn",
"num_options": 6,
"seed": 33955714,
"true_count": 3
},
"question": "请评估以下布尔表达式，选择其中为真的选项：\n\nA. not not (not not (not not (not not ((not ((-16 * 15... |
logic-v2 | 审视以下逻辑表达式：
A. not not (not ((-2 - -19) < (10 + 20)))
B. ((以色列的货币是谢克尔。) or (1993年是闰年。)) or ((火星是距离太阳第1近的行星。) or (39小于等于34。))
C. (1912年奥运会在斯德哥尔摩举办。) or (酒精在常温下是液体。)
D. (((-4 * -9 * 4 * 2) > (6 + 16)) or ((31 % 10) >= (-6 * 13))) and (218是完全平方数。)
哪些表达式为真？在 \boxed{} 中用逗号分隔给出答案。 | {
"game_data": {
"answer": "B,C",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 2,
"language": "cn",
"num_options": 4,
"seed": 66517233,
"true_count": 2
},
"question": "审视以下逻辑表达式：\n\nA. not not (not ((-2 - -19) < (10 + 20)))\nB. ((以色列的货币是谢克尔。) or (19... |
logic-v2 | Given the following boolean expressions:
A. (not not ((The currency of Nigeria is the Naira.) or ((10 - 1) < (20 * -7)))) or (((2 + -10) > (2 - 20)) or ((-13 - -7) != (8 * 13))) or (((4 - 0) >= (-13 - -8)) and (((1 ** 2) == (-9 * 3 - -10 * -6)) or ((-13 - 13) > (-8 - -5))))
B. ((not not (Mars is the closest planet to ... | {
"game_data": {
"answer": "A,C,E",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 3,
"language": "en",
"num_options": 6,
"seed": 77598087,
"true_count": 3
},
"question": "Given the following boolean expressions:\n\nA. (not not ((The currency of Niger... |
logic-v2 | Given the following boolean expressions:
A. The speed of light is approximately 300,000 km/s.
B. (not not (((-1 * 5 * 1 * -6) < (-12 + -16)) or (Uranus is the 3rd planet from the Sun.))) and (not not ((not not ((The capital of Romania is Bucharest.) and ((46 % 8) <= (0 + -10)))) or (((-2 + 18) < (-10 + 2) < (16 - 12))... | {
"game_data": {
"answer": "A",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 5,
"language": "en",
"num_options": 3,
"seed": 77232948,
"true_count": 1
},
"question": "Given the following boolean expressions:\n\nA. The speed of light is approximately ... |
logic-v2 | Consider the following logical expressions:
A. (not (not not (((not ((8 * -8 + 5 * -3) <= (18 * -13))) or (The square root of 1 is 1.)) and (((-14 - -1) > (18 * -15)) or (Germany is in Africa.)) and ((5 * 0 + 6 * -1) < (19 * 14))))) or (not not (not not (The chemical symbol for Oxygen is S.))) or (not not (not (((not ... | {
"game_data": {
"answer": "A,B,E",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 6,
"language": "en",
"num_options": 6,
"seed": 70549419,
"true_count": 3
},
"question": "Consider the following logical expressions:\n\nA. (not (not not (((not ((8 * -8... |
logic-v2 | 请评估以下布尔表达式，选择其中为真的选项：
A. ((((2 - 13) >= (4 % 2)) or (((76能被4整除。) or ((42 % 10) < (-17 - 13))) or (not not ((-9 + 11) != (4 ** 2))))) or (阿根廷的首都是布宜诺斯艾利斯。) or (not not (not (海王星是距离太阳第6近的行星。)))) and (not (225的平方根是2。)) and (not (not not ((not not ((3 ** 2) >= (15 % 2))) or (not (水星是距离太阳第4近的行星。)))))
B. not not (((121的平方根是1... | {
"game_data": {
"answer": "C,E",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 5,
"language": "cn",
"num_options": 5,
"seed": 16840429,
"true_count": 2
},
"question": "请评估以下布尔表达式，选择其中为真的选项：\n\nA. ((((2 - 13) >= (4 % 2)) or (((76能被4整除。) or ((42 % 10)... |
logic-v2 | 请评估以下布尔表达式，选择其中为真的选项：
A. ((1972年是闰年。) or ((1947年是闰年。) or (熊是鱼类。)) or (((-8 * 1) <= (8 * 0 + 3 * 9) <= (2 ** 2)) and ((9 - 12) >= (7 - 20)))) and ((not ((土耳其的首都是安卡拉。) or ((-19 * 1) > (1 ** 2)))) or (((1 ** 3) <= (-20 - 7)) and (兔子是哺乳动物。)) or (not (((-5 + -19) <= (3 * -11)) or (莱特兄弟首次飞行发生在1903年。))))
B. not not ((哥伦布到达美洲... | {
"game_data": {
"answer": "B,D",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 4,
"language": "cn",
"num_options": 8,
"seed": 24379050,
"true_count": 2
},
"question": "请评估以下布尔表达式，选择其中为真的选项：\n\nA. ((1972年是闰年。) or ((1947年是闰年。) or (熊是鱼类。)) or (((-8 * 1... |
logic-v2 | 评估以下每个表达式：
A. (((钙的化学符号是Al。) and (((鸭子有2条腿。) and ((-15 + -18) <= (4 - 12))) and (((6 - 18) <= (-12 - -2) <= (-7 + -17)) and ((13 % 7) <= (13 + 11) <= (-9 * -3 + 7 * 0))))) or (((汞的化学符号是Hg。) or ((二月有29天。) or ((-1 * 2 * 6 * -7) < (11 + -11) < (5 ** 2)))) and ((巴西的首都是里斯本。) and (中国位于大洋洲。)) and (现代奥运会首届举办发生在1895年。))) or (n... | {
"game_data": {
"answer": "D,F",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 5,
"language": "cn",
"num_options": 8,
"seed": 50880000,
"true_count": 2
},
"question": "评估以下每个表达式：\n\nA. (((钙的化学符号是Al。) and (((鸭子有2条腿。) and ((-15 + -18) <= (4 - 12))) an... |
logic-v2 | 考虑以下布尔表达式：
A. not not ((not not (not not (氧气在常温下是气体。))) or (not (金星是距离太阳第6近的行星。)) or ((木星是距离太阳第5近的行星。) and ((8 * -3 - 1 * 2) > (-5 * 2))))
B. not not (not not (((青蛙有4条腿。) or (第二次世界大战结束发生在1950年。)) or ((6 * -2 * 10 * 6) > (9 - -11))))
C. (((1 ** 3) == (8 + -12)) and (not (阿根廷位于南美洲。)) and (not ((6 + 12) < (-5 * 1 - 4 * 1... | {
"game_data": {
"answer": "A,B,E,F",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 4,
"language": "cn",
"num_options": 6,
"seed": 10209721,
"true_count": 4
},
"question": "考虑以下布尔表达式：\n\nA. not not ((not not (not not (氧气在常温下是气体。))) or (not (金星是距离太阳第6... |
logic-v2 | 研究以下逻辑语句：
A. not (((19 - 0) != (5 ** 2)) and ((-5 * -7 * -1 * 0) < (2 * -3 + 1 * -9)))
B. 马来西亚的首都是哥本哈根。
C. (not not ((10 - 14) >= (-11 - 0))) and (((-20 - 6) == (18 * -15)) and ((9 * -2) <= (-6 + -7) <= (15 % 7)))
D. (((-11 + -20) >= (5 + -12)) or (2033年是闰年。)) and ((-4 * -9 + 0 * 5) < (17 * 15))
E. not not (((1 ** 1) ... | {
"game_data": {
"answer": "A,E",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 2,
"language": "cn",
"num_options": 7,
"seed": 24618098,
"true_count": 2
},
"question": "研究以下逻辑语句：\n\nA. not (((19 - 0) != (5 ** 2)) and ((-5 * -7 * -1 * 0) < (2 * -3 + 1... |
logic-v2 | Review these logical expressions:
A. not not (not not (not not (((((1 * 7 + 4 * 10) >= (37 % 4)) and ((34 % 7) >= (14 * 18))) or ((The 1972 Olympics were held in Munich.) and ((3 ** 2) < (-11 + 0)))) or (((The 2012 Olympics were held in London.) and (A day on Earth is 24 hours.)) and ((A sparrow is a bird.) or (The fi... | {
"game_data": {
"answer": "A,D,E",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 6,
"language": "en",
"num_options": 5,
"seed": 68367465,
"true_count": 3
},
"question": "Review these logical expressions:\n\nA. not not (not not (not not (((((1 * 7 + ... |
logic-v2 | Study the following logical statements:
A. (not not (not not (Neptune is the 8th planet from the Sun.))) and ((not not (A trout is a fish.)) or (((-9 * 3 - 4 * -8) < (32 % 6)) and (74 is a prime number.)) or (((6 - -12) <= (-6 - 4)) and ((Air is a solid at room temperature.) or (The currency of Argentina is the Dong.)... | {
"game_data": {
"answer": "A,B,C",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 4,
"language": "en",
"num_options": 3,
"seed": 40546734,
"true_count": 3
},
"question": "Study the following logical statements:\n\nA. (not not (not not (Neptune is the... |
logic-v2 | Here are some boolean expressions to evaluate:
A. (not not ((Diamond is a solid at room temperature.) and ((The capital of Poland is Hanoi.) and (Nigeria is in Africa.)))) and (((-4 * 4 + 3 * -8) == (-10 - 6)) or (not not (not ((4 ** 1) > (14 + 6))))) and ((((The chemical symbol for Chlorine is Sn.) and (not not ((8 *... | {
"game_data": {
"answer": "B,C,E",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 5,
"language": "en",
"num_options": 5,
"seed": 73653705,
"true_count": 3
},
"question": "Here are some boolean expressions to evaluate:\n\nA. (not not ((Diamond is a so... |
logic-v2 | Here are some boolean expressions to evaluate:
A. (-14 - -7) >= (-2 * -7 * 7 * -7)
B. (The chemical symbol for Potassium is Au.) and (not (The speed of light is approximately 300,000 km/s.))
C. not not (not ((12 + 6) >= (-6 * -8 - -1 * 2)))
D. (-14 + 20) != (-5 * -8 - -7 * 9)
Find all expressions that are True. Answe... | {
"game_data": {
"answer": "A,C,D",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 2,
"language": "en",
"num_options": 4,
"seed": 59600673,
"true_count": 3
},
"question": "Here are some boolean expressions to evaluate:\n\nA. (-14 - -7) >= (-2 * -7 * 7... |
logic-v2 | Review these logical expressions:
A. (not not ((((The capital of Hungary is Budapest.) or (((-12 + 7) < (20 % 10)) and ((-2 * 9 * 3 * 4) == (-14 * 15)))) or ((13 * -8) >= (-3 * 3 - -4 * -8))) or ((not ((Humans have five fingers on each hand.) or (The capital of China is Beijing.))) and (((377 is a perfect square.) and... | {
"game_data": {
"answer": "A,B,C,G",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 6,
"language": "en",
"num_options": 7,
"seed": 77509932,
"true_count": 4
},
"question": "Review these logical expressions:\n\nA. (not not ((((The capital of Hungary i... |
logic-v2 | 检验这些表达式：
A. not ((((1 ** 3) <= (-3 * 5 - 0 * -1)) and ((42 % 7) != (-7 + 2))) or (((3 * 4 - 2 * -2) == (-6 * -9 * 0 * 10)) or (瑞士的货币是瑞士法郎。)))
B. not not ((not (闪电不会两次击中同一个地方。)) or (not (1995年是闰年。)))
C. (((光速比声速快。) and (伦敦大火发生在1656年。)) and (not (氮的化学符号是Fe。))) or ((第一次世界大战开始发生在1916年。) or ((-5 - 9) > (8 - 10))) or (((321... | {
"game_data": {
"answer": "B,C,D,F,G",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 3,
"language": "cn",
"num_options": 7,
"seed": 8192477,
"true_count": 5
},
"question": "检验这些表达式：\n\nA. not ((((1 ** 3) <= (-3 * 5 - 0 * -1)) and ((42 % 7) != (-7 + ... |
logic-v2 | 分析以下逻辑表达式：
A. (((not ((10 % 9) >= (-13 - 5))) and (第一次世界大战结束发生在1918年。)) and ((木头在常温下是固体。) and (狗有4条腿。)) and (((14 + -4) <= (11 * 13)) or ((阿根廷的货币是克朗。) or ((-19 * 8) == (24 % 3))))) and (((((15 - 3) < (7 * 8 + 7 * -6) < (-13 * -7)) or ((-17 * 2) <= (38 % 4))) and (((-17 - 5) != (1 + 18)) and (印度尼西亚位于亚洲。))) and (土星是距离太阳... | {
"game_data": {
"answer": "B",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 4,
"language": "cn",
"num_options": 5,
"seed": 39380853,
"true_count": 1
},
"question": "分析以下逻辑表达式：\n\nA. (((not ((10 % 9) >= (-13 - 5))) and (第一次世界大战结束发生在1918年。)) and ((木头... |
logic-v2 | Review these logical expressions:
A. (((The chemical symbol for Iron is Pt.) or ((2 + -4) < (-11 * 14))) or ((The capital of Netherlands is Amsterdam.) and ((-7 * 7 * 8 * -3) != (0 + 2)))) or ((14 % 2) <= (-9 * 7 - 5 * 10))
B. (not (The chemical symbol for Gold is Al.)) or (There are 30 days in June.) or (2010 is a le... | {
"game_data": {
"answer": "A,B",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 3,
"language": "en",
"num_options": 4,
"seed": 13605792,
"true_count": 2
},
"question": "Review these logical expressions:\n\nA. (((The chemical symbol for Iron is Pt.) o... |
logic-v2 | 分析以下逻辑表达式：
A. ((((3 - 20) < (2 ** 3)) or ((7 * 7 + 2 * -8) != (15 + 16))) and (not not ((-18 - -20) < (3 ** 3) < (4 ** 1)))) or ((((瑞典的货币是奈拉。) or (not not ((-10 * 12) >= (34 % 5)))) and ((((3 * -5 * -2 * -6) != (-16 - 4)) and ((18 + -4) >= (17 - 11))) or (加拿大的货币是加元。))) and (not not (not not (((47 % 3) != (19 * 6)) or ... | {
"game_data": {
"answer": "B",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 5,
"language": "cn",
"num_options": 6,
"seed": 18632568,
"true_count": 1
},
"question": "分析以下逻辑表达式：\n\nA. ((((3 - 20) < (2 ** 3)) or ((7 * 7 + 2 * -8) != (15 + 16))) and (n... |
logic-v2 | Review these logical expressions:
A. not ((((11 + 1) != (2 * -2 - -5 * -10)) or ((1 ** 3) > (3 ** 2))) and ((Saturn is the 4th planet from the Sun.) or (Mercury is the 5th planet from the Sun.)))
B. ((-7 * -8) <= (-9 * 0 + -8 * 9)) and ((11 - -4) == (3 ** 2)) and (38 is divisible by 8.)
C. not (((Electricity flows fas... | {
"game_data": {
"answer": "A,C,E",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 3,
"language": "en",
"num_options": 6,
"seed": 61573572,
"true_count": 3
},
"question": "Review these logical expressions:\n\nA. not ((((11 + 1) != (2 * -2 - -5 * -10))... |
logic-v2 | 评估以下每个表达式：
A. (not (not not ((4 ** 1) != (1 ** 1)))) or ((17 % 6) > (-1 * 4 - 9 * -6))
B. ((印度尼西亚的货币是印尼盾。) or (龙虾有100条腿。)) and ((14 + -1) >= (3 * -9 * 8 * 1)) and (天王星是距离太阳第7近的行星。)
C. (not (not not (变色龙是哺乳动物。))) and ((波兰的货币是兹罗提。) or (植物通过光合作用产生氧气。))
D. (((4 ** 3) <= (1 * 14) <= (-3 - 5)) or ((铁在常温下是固体。) and (木头在常温下是固体... | {
"game_data": {
"answer": "B,C,D,G",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 3,
"language": "cn",
"num_options": 8,
"seed": 25974804,
"true_count": 4
},
"question": "评估以下每个表达式：\n\nA. (not (not not ((4 ** 1) != (1 ** 1)))) or ((17 % 6) > (-1 * ... |
logic-v2 | 评估以下每个表达式：
A. (not ((中国的货币是新西兰元。) and (光速比声速快。))) or ((猪有4条腿。) or (((-1 - -19) > (31 % 9)) and (钛的化学符号是Ti。)))
B. not not (((狗有6条腿。) or ((-9 + 20) <= (9 * -1 + 1 * -3))) and (1901年是闰年。))
C. (1987年是闰年。) and ((1 ** 3) > (0 * -2 * 9 * 3)) and ((30小于等于61。) and ((土星是距离太阳第6近的行星。) or (鲨鱼是哺乳动物。)))
D. (瑞典的首都是利雅得。) and ((not ((1... | {
"game_data": {
"answer": "A,E,G",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 3,
"language": "cn",
"num_options": 7,
"seed": 98179689,
"true_count": 3
},
"question": "评估以下每个表达式：\n\nA. (not ((中国的货币是新西兰元。) and (光速比声速快。))) or ((猪有4条腿。) or (((-1 - -1... |
logic-v2 | Here are some boolean expressions to evaluate:
A. not (The capital of Canada is Ottawa.)
B. ((The 1896 Olympics were held in London.) or ((-10 - -19) <= (37 % 2))) and (((4 ** 2) <= (20 * 15)) and (The capital of Austria is Vienna.)) and ((((-7 + -4) != (12 - 20)) and ((-6 - -8) > (29 % 3))) or ((Jupiter is the 7th pl... | {
"game_data": {
"answer": "C",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 3,
"language": "en",
"num_options": 3,
"seed": 40672362,
"true_count": 1
},
"question": "Here are some boolean expressions to evaluate:\n\nA. not (The capital of Canada is ... |
logic-v2 | Review these logical expressions:
A. The 1972 Olympics were held in Munich.
B. (not not ((-13 + 17) > (4 * -4 + -10 * -6))) or (not not (The chemical symbol for Cobalt is O.))
C. not not (((12 % 4) >= (-7 * -7)) and ((-13 - 1) < (19 * 8)))
D. not ((3 ** 1) == (-20 + 2))
E. not (((9 * 8 * 7 * -1) == (-10 + 2)) or ((3 *... | {
"game_data": {
"answer": "A,D,F",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 2,
"language": "en",
"num_options": 6,
"seed": 65571098,
"true_count": 3
},
"question": "Review these logical expressions:\n\nA. The 1972 Olympics were held in Munich.\... |
logic-v2 | 考虑以下布尔表达式：
A. ((13 - 19) < (5 + -15)) or (((-18 - -9) <= (0 * 0 - -5 * 7) <= (16 - -14)) or ((-9 + -10) > (-10 - 6))) or (not not ((镍的化学符号是Ni。) or (氦气在常温下是固体。)))
B. not (((奥地利的首都是莫斯科。) and (氖的化学符号是Ag。)) and ((瑞典的货币是澳元。) and ((-5 * 3 + 8 * -2) == (3 + -16))))
C. not ((-4 * 8) <= (-2 * -5 + 0 * -3) <= (7 * 5 * -3 * -1))... | {
"game_data": {
"answer": "A,B",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 3,
"language": "cn",
"num_options": 3,
"seed": 66419546,
"true_count": 2
},
"question": "考虑以下布尔表达式：\n\nA. ((13 - 19) < (5 + -15)) or (((-18 - -9) <= (0 * 0 - -5 * 7) <= (... |
logic-v2 | 检验这些表达式：
A. (not not ((((-19 + -1) < (23 % 1) < (-10 - 1)) or ((5 ** 2) != (3 * -5 * -8 * -10))) or ((一月有28天。) or (瑞典的首都是斯德哥尔摩。)))) or (not ((-3 - -11) > (12 + 3))) or (((蜥蜴是爬行动物。) and ((-6 * 0 - 6 * -6) != (5 * 2))) or (((碳的化学符号是C。) and ((-11 * 16) == (8 - 1))) or (((40 % 3) != (-19 - 13)) and ((25 % 4) < (20 - 15)))... | {
"game_data": {
"answer": "A,C,D",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 4,
"language": "cn",
"num_options": 4,
"seed": 49838868,
"true_count": 3
},
"question": "检验这些表达式：\n\nA. (not not ((((-19 + -1) < (23 % 1) < (-10 - 1)) or ((5 ** 2) != (... |
logic-v2 | Below are several boolean expressions:
A. (The capital of South Korea is Rabat.) or ((Jupiter is the 2nd planet from the Sun.) and ((5 ** 3) < (5 - 13) < (40 % 5))) or (not not ((Uranus is the 3rd planet from the Sun.) and (Vietnam is in Asia.)))
B. ((not ((50 % 3) >= (-11 - 9))) and (not not (1934 is a leap year.))) ... | {
"game_data": {
"answer": "B,C,E",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 3,
"language": "en",
"num_options": 5,
"seed": 22709079,
"true_count": 3
},
"question": "Below are several boolean expressions:\n\nA. (The capital of South Korea is Rab... |
logic-v2 | Evaluate the following boolean expressions and select the ones that are true:
A. not (((-3 * 3 * 3 * 2) <= (0 * 14)) and ((The 2020 Olympics were held in Tokyo.) and (There are 29 days in May.)))
B. not ((-17 * 15) < (5 ** 3))
C. ((not not ((15 + 20) <= (-9 + 4))) and (Bats are blind.)) or (not not (((-4 * 2 - -7 * 5)... | {
"game_data": {
"answer": "A,E",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 3,
"language": "en",
"num_options": 5,
"seed": 17347145,
"true_count": 2
},
"question": "Evaluate the following boolean expressions and select the ones that are true:\n\n... |
logic-v2 | 评估以下每个表达式：
A. (((not not (阿根廷的货币是比索。)) and ((not ((5 * 2 + -1 * -2) != (11 - 13))) and ((19 + 18) <= (-2 + -14))) and ((not not (((-3 * 10 * -6 * -4) >= (-11 * 17)) or (人体有206块骨头。))) or ((not not (2014年是闰年。)) and (((20 - -19) >= (-3 - -4)) and ((-18 - 12) < (2 * 3 - 7 * -3)))))) or (not (not not (1900年奥运会在墨西哥城举办。)))) ... | {
"game_data": {
"answer": "A,E",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 6,
"language": "cn",
"num_options": 6,
"seed": 82249432,
"true_count": 2
},
"question": "评估以下每个表达式：\n\nA. (((not not (阿根廷的货币是比索。)) and ((not ((5 * 2 + -1 * -2) != (11 - 1... |
logic-v2 | Below are several boolean expressions:
A. (not not (not ((not not ((The chemical symbol for Tin is Sn.) and (Earth is the 3rd planet from the Sun.))) and ((Earth is the 5th planet from the Sun.) or (not ((-17 * -15) <= (34 % 6))))))) or (not not ((((1 * 5) < (3 ** 2)) and (A beetle is an insect.)) or (((not ((9 - -18)... | {
"game_data": {
"answer": "A,B,E",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 6,
"language": "en",
"num_options": 8,
"seed": 30894856,
"true_count": 3
},
"question": "Below are several boolean expressions:\n\nA. (not not (not ((not not ((The chem... |
logic-v2 | 审视以下逻辑表达式：
A. 澳大利亚位于大洋洲。
B. (((6 + -8) == (19 + 4)) or (马来西亚的货币是谢克尔。)) and ((20 + 4) == (15 + -10))
C. ((金的化学符号是Al。) and ((19 % 5) <= (-17 * 17) <= (-18 - -16))) or ((2 ** 3) >= (1 * -1 - -4 * -8))
哪些表达式为真？在 \boxed{} 中用逗号分隔给出答案。 | {
"game_data": {
"answer": "A,C",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 2,
"language": "cn",
"num_options": 3,
"seed": 22736902,
"true_count": 2
},
"question": "审视以下逻辑表达式：\n\nA. 澳大利亚位于大洋洲。\nB. (((6 + -8) == (19 + 4)) or (马来西亚的货币是谢克尔。)) and ((... |
logic-v2 | Below are several boolean expressions:
A. not not (not (not not (((8 + -11) != (-9 - -15)) and (((The 2004 Olympics were held in Los Angeles.) and (The chemical symbol for Iron is Co.)) and (((2 * 8 - -2 * -1) == (-3 * -8 - -1 * -5)) or (A crab has 100 legs.))))))
B. not (not not ((((((25 % 9) <= (20 + -20) <= (1 * -3... | {
"game_data": {
"answer": "A,B,C,D,E,F,G,H",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 6,
"language": "en",
"num_options": 8,
"seed": 43133149,
"true_count": 8
},
"question": "Below are several boolean expressions:\n\nA. not not (not (not not ((... |
logic-v2 | Examine these expressions:
A. not ((((not (The capital of Argentina is New Delhi.)) or (((42 % 8) != (2 ** 2)) and ((14 + -7) < (4 - 8)))) and ((not ((46 % 5) == (-6 * -8 - -8 * -7))) and (not not (A beetle is a reptile.)))) or (not (Antarctica is the coldest continent.)))
B. (not not ((not not (((3 * -4 - -7 * 2) >= ... | {
"game_data": {
"answer": "A,B,E",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 5,
"language": "en",
"num_options": 5,
"seed": 77250315,
"true_count": 3
},
"question": "Examine these expressions:\n\nA. not ((((not (The capital of Argentina is New D... |
logic-v2 | 审视以下逻辑表达式：
A. not (((((马来西亚的首都是吉隆坡。) and ((-2 - -19) <= (-4 * 6 * 1 * -2))) and ((地球是距离太阳第3近的行星。) or (not ((14 + -14) < (12 * 20))))) or (((10 + -5) > (9 + 13)) and ((((-9 * -5 - 0 * -1) >= (2 * 5 * 4 * 7)) and (阿根廷位于南美洲。)) and (not not ((18 - -18) >= (5 ** 1)))))) or ((not not (((氮气在常温下是气体。) or (荷兰的首都是吉隆坡。)) or (章鱼有2... | {
"game_data": {
"answer": "B,G",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 6,
"language": "cn",
"num_options": 7,
"seed": 57894307,
"true_count": 2
},
"question": "审视以下逻辑表达式：\n\nA. not (((((马来西亚的首都是吉隆坡。) and ((-2 - -19) <= (-4 * 6 * 1 * -2))) an... |
logic-v2 | Evaluate the following boolean expressions and select the ones that are true:
A. not not ((((-5 + 11) > (4 * 13)) and (The currency of United States is the Dollar.) and (not not ((Mercury is a liquid at room temperature.) and ((4 + 3) >= (38 % 6))))) or ((10 + -4) != (-4 + 0)) or ((not (not not (A eagle is a reptile.)... | {
"game_data": {
"answer": "A,C,D",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 5,
"language": "en",
"num_options": 4,
"seed": 78454233,
"true_count": 3
},
"question": "Evaluate the following boolean expressions and select the ones that are true:\n... |
logic-v2 | 考虑以下布尔表达式：
A. not (not not (((2 % 2) <= (2 - -15)) or ((-19 * -10) <= (-5 + -3))))
B. ((((9 + 17) <= (-12 + 20) <= (8 * 11)) or ((-20 * 7) > (-14 - 2))) or (((13 % 9) < (0 - 4)) or (印度尼西亚的货币是克朗。))) and (((鹦鹉是昆虫。) and (木头在常温下是固体。)) and (not not (瑞士的首都是利雅得。)))
C. not ((9 * 4 + 9 * 4) > (-3 * 3 * 7 * 5))
D. (人体有206块骨头。) ... | {
"game_data": {
"answer": "D,E",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 3,
"language": "cn",
"num_options": 5,
"seed": 50543575,
"true_count": 2
},
"question": "考虑以下布尔表达式：\n\nA. not (not not (((2 % 2) <= (2 - -15)) or ((-19 * -10) <= (-5 + -3... |
logic-v2 | Examine these expressions:
A. The square root of 225 is 5.
B. not ((8 - -12) <= (4 + 19))
C. (Wood is a solid at room temperature.) or ((The chemical symbol for Silver is He.) or ((15 * 3) <= (7 * 2 - -9 * -8)))
D. Nigeria is in South America.
E. ((-8 + 9) >= (1 + -18)) or ((19 * -12) < (0 + -20))
F. ((Mercury is a li... | {
"game_data": {
"answer": "C,E,F",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 2,
"language": "en",
"num_options": 6,
"seed": 78509956,
"true_count": 3
},
"question": "Examine these expressions:\n\nA. The square root of 225 is 5.\nB. not ((8 - -12... |
logic-v2 | 检验这些表达式：
A. ((((4的平方根是11。) and ((蛇有6条腿。) or (一月有31天。))) or ((-1 - 9) != (20 % 10))) or (not (not not (((20 - 9) == (17 * 9)) and ((19 - 5) > (-6 * -13)))))) and ((((not not (西班牙的首都是利雅得。)) or (1908年奥运会在伦敦举办。)) or (not not ((-6 * 3 * -8 * 10) <= (19 + -5))) or ((not (火星是距离太阳最近的行星。)) and ((哥伦布到达美洲发生在1492年。) and (月球自己发光。)... | {
"game_data": {
"answer": "A,B,F",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 5,
"language": "cn",
"num_options": 6,
"seed": 60390989,
"true_count": 3
},
"question": "检验这些表达式：\n\nA. ((((4的平方根是11。) and ((蛇有6条腿。) or (一月有31天。))) or ((-1 - 9) != (20 ... |
logic-v2 | Evaluate each expression below:
A. ((not not ((-18 + 5) > (29 % 6))) or (((16 % 2) < (-16 + -20)) or ((-7 * 3 - -3 * -10) <= (-4 + -8)))) or (not ((Diamonds are made of carbon.) or ((46 % 6) >= (2 ** 3))))
B. ((((5 ** 1) < (1 ** 1) < (9 * 10 - 8 * 0)) and (Copper is a solid at room temperature.)) or ((1 + 1) > (10 * -... | {
"game_data": {
"answer": "A,C",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 3,
"language": "en",
"num_options": 3,
"seed": 2128703,
"true_count": 2
},
"question": "Evaluate each expression below:\n\nA. ((not not ((-18 + 5) > (29 % 6))) or (((16 %... |
logic-v2 | 评估以下每个表达式：
A. not not ((not not (not (((13 + -18) > (0 - -5)) and (鹦鹉是爬行动物。)))) or (((6 * 13) >= (20 * -15)) or (not not (((-7 + -8) > (8 % 8)) or ((-6 * -1 + -4 * 0) == (23 % 2))))))
B. ((not ((7 * -2 - -8 * 8) >= (-1 + 16))) and (not not (not (not ((19 - -16) <= (4 ** 1)))))) and (((2004年是闰年。) or (not not (((-7 * 6 ... | {
"game_data": {
"answer": "A,C,D",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 5,
"language": "cn",
"num_options": 6,
"seed": 43776947,
"true_count": 3
},
"question": "评估以下每个表达式：\n\nA. not not ((not not (not (((13 + -18) > (0 - -5)) and (鹦鹉是爬行动物。)... |
logic-v2 | 评估以下每个表达式：
A. not not (((((-2 * -1) < (41 % 2) < (24 % 9)) or ((-18 - -7) > (-15 + 3))) or ((2 + 17) <= (-3 - 13) <= (-1 * -1 - 7 * -5))) or ((47是质数。) or (乌鸦是鸟类。)) or ((2000年奥运会在悉尼举办。) or (not ((1 * -5 + -2 * -7) >= (2 ** 3)))))
B. not not ((not not (not ((-20 - -20) >= (-6 * -3)))) and (((8 - -11) <= (9 - 15)) or ((1... | {
"game_data": {
"answer": "A,C",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 4,
"language": "cn",
"num_options": 4,
"seed": 21758389,
"true_count": 2
},
"question": "评估以下每个表达式：\n\nA. not not (((((-2 * -1) < (41 % 2) < (24 % 9)) or ((-18 - -7) > (-... |
logic-v2 | 考虑以下布尔表达式：
A. (not not ((印度的货币是克朗。) and ((((3 ** 2) < (23 % 10) < (5 ** 3)) and (21能被8整除。)) or ((韩国的货币是比索。) and ((-13 + -3) < (4 ** 1)))))) or (((((新西兰的首都是哈瓦那。) or ((10 - -3) < (3 ** 2) < (5 * -4 + 6 * 0))) or ((巴西位于南美洲。) or (水星是距离太阳第3近的行星。))) or ((19 - 18) <= (-4 + 0) <= (-19 - -12))) or (not not (2022年是闰年。)))
B. ((n... | {
"game_data": {
"answer": "A,B,C",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 5,
"language": "cn",
"num_options": 5,
"seed": 55666867,
"true_count": 3
},
"question": "考虑以下布尔表达式：\n\nA. (not not ((印度的货币是克朗。) and ((((3 ** 2) < (23 % 10) < (5 ** 3)) ... |
logic-v2 | 考虑以下布尔表达式：
A. not not (((六月有30天。) and ((-12 + 2) == (5 ** 3))) or ((铂的化学符号是Mg。) and (火星是距离太阳第3近的行星。)))
B. not not ((莱特兄弟首次飞行发生在1893年。) or ((1944年是闰年。) or (丹麦的货币是克朗。)))
C. (((蛇是爬行动物。) or ((11 * -2) < (-2 * 0 - 10 * 1) < (-9 - 9))) or ((7 * -8 - 7 * -6) > (17 + -18))) and ((5 % 9) > (19 * -11))
哪些表达式的值为 True？请在 \boxed{... | {
"game_data": {
"answer": "B,C",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 3,
"language": "cn",
"num_options": 3,
"seed": 46911067,
"true_count": 2
},
"question": "考虑以下布尔表达式：\n\nA. not not (((六月有30天。) and ((-12 + 2) == (5 ** 3))) or ((铂的化学符号是Mg。... |
logic-v2 | Consider the following logical expressions:
A. (Air is a gas at room temperature.) and (((3 * 9 * 0 * 4) != (2 - 16)) and (Carbon dioxide is a gas at room temperature.)) and (not (A chicken is a bird.))
B. (172 is a perfect square.) or (not ((The Great Fire of London occurred in 1666.) and ((18 * -17) < (5 * 8 * 8 * -... | {
"game_data": {
"answer": "B,C,E,G",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 3,
"language": "en",
"num_options": 7,
"seed": 50359816,
"true_count": 4
},
"question": "Consider the following logical expressions:\n\nA. (Air is a gas at room tempe... |
logic-v2 | 检验这些表达式：
A. not not (欧盟的货币是欧元。)
B. (not ((碳的化学符号是C。) and ((-8 + -1) >= (4 * -6 + -7 * -10)))) or (((0 * -1 * 1 * 7) >= (3 ** 3)) or ((5 % 10) > (-9 * -6)))
C. (not (((-9 * -13) < (20 - 15)) and (闪电不会两次击中同一个地方。))) or (not ((人类有100条腿。) and ((-1 - 13) <= (-1 - 1) <= (-18 * 15))))
D. ((汞在常温下是固体。) and ((20 % 5) >= (6 - -18... | {
"game_data": {
"answer": "A,B,C,F",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 3,
"language": "cn",
"num_options": 8,
"seed": 21985249,
"true_count": 4
},
"question": "检验这些表达式：\n\nA. not not (欧盟的货币是欧元。)\nB. (not ((碳的化学符号是C。) and ((-8 + -1) >= (4... |
logic-v2 | 审视以下逻辑表达式：
A. ((磷的化学符号是Ni。) and (2004年是闰年。)) or ((火星是距离太阳第4近的行星。) or ((-3 - 0) <= (-10 * 6 * -8 * 5)))
B. (8 - 1) < (46 % 3) < (3 - 9)
C. not (((6 - -4) < (-5 + 14)) or ((12 - 11) >= (3 - -16)))
D. (not ((-4 - -16) > (-3 + -8))) and ((-10 - -20) < (-18 * -16))
E. not (八月有28天。)
F. 马来西亚的首都是吉隆坡。
G. ((-1 * 9 + 7 * 2) != (... | {
"game_data": {
"answer": "A,C,E,F,G,H",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 2,
"language": "cn",
"num_options": 8,
"seed": 34535128,
"true_count": 6
},
"question": "审视以下逻辑表达式：\n\nA. ((磷的化学符号是Ni。) and (2004年是闰年。)) or ((火星是距离太阳第4近的行星。) or (... |
logic-v2 | Consider the following logical expressions:
A. ((not (((The chemical symbol for Oxygen is Ca.) or (South Africa is in North America.)) or (not not ((9 - 19) != (-4 + 2))))) and (not (not not (not not ((7 * -13) == (3 ** 3)))))) and (not (((((-2 * -5 * -8 * -1) < (-18 - 19)) or ((-20 - 12) == (-5 - -18))) or (((10 * 6 ... | {
"game_data": {
"answer": "B,C",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 5,
"language": "en",
"num_options": 3,
"seed": 50257503,
"true_count": 2
},
"question": "Consider the following logical expressions:\n\nA. ((not (((The chemical symbol fo... |
logic-v2 | 下面是几个布尔表达式：
A. 印度的首都是新德里。
B. ((土耳其的货币是里拉。) or (猪有4条腿。)) or ((-18 * 17) < (-16 * -13))
C. not not ((1的平方根是1。) and ((-14 + 5) > (3 * 10)))
D. ((1969年是闰年。) and (鸡有2条腿。)) or (四月有30天。)
E. ((二月有28天。) and (冰的密度比液态水小。)) or ((菲律宾的货币是比索。) and (越南的首都是河内。))
F. ((章鱼有8条腿。) and ((4 * 4 * -8 * 5) >= (-9 * -4 * 4 * 10))) and (36能被10整除... | {
"game_data": {
"answer": "A,B,D,E",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 2,
"language": "cn",
"num_options": 6,
"seed": 32963911,
"true_count": 4
},
"question": "下面是几个布尔表达式：\n\nA. 印度的首都是新德里。\nB. ((土耳其的货币是里拉。) or (猪有4条腿。)) or ((-18 * 17) < ... |
logic-v2 | Study the following logical statements:
A. (((not ((17 * -13) == (-3 * 6 - 0 * -6))) and ((-12 + 19) == (19 * -1))) or ((-14 + -20) > (14 - 2))) or (((not (The capital of Philippines is Bogota.)) or (((6 - 9) <= (6 * 2 + -9 * 2)) or (The chemical symbol for Chromium is K.))) and (not not (not ((6 - -4) == (0 * -9 - -3... | {
"game_data": {
"answer": "A,B",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 4,
"language": "en",
"num_options": 3,
"seed": 41080216,
"true_count": 2
},
"question": "Study the following logical statements:\n\nA. (((not ((17 * -13) == (-3 * 6 - 0 *... |
logic-v2 | Below are several boolean expressions:
A. 1926 is a leap year.
B. ((-14 * -2) < (0 + 14)) and ((The chemical symbol for Oxygen is O.) and ((3 * -12) > (2 + 15)))
C. not (The capital of Switzerland is Oslo.)
D. (not ((-19 * -3) < (3 ** 2))) and (A cat has 4 legs.)
E. not (((-18 + 14) < (-15 + -4)) or (A duck has 100 le... | {
"game_data": {
"answer": "C,D,E,F",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 2,
"language": "en",
"num_options": 7,
"seed": 46009408,
"true_count": 4
},
"question": "Below are several boolean expressions:\n\nA. 1926 is a leap year.\nB. ((-14 *... |
logic-v2 | 请评估以下布尔表达式，选择其中为真的选项：
A. (((((16 + 17) <= (17 * 7)) and (新西兰的首都是惠灵顿。)) or (智利的首都是圣地亚哥。) or (not not (((瑞士的货币是瑞士法郎。) or ((3 * -1) != (-10 * 2))) and (光速约为每秒30万公里。)))) and (((莱特兄弟首次飞行发生在1901年。) or (澳大利亚的货币是澳元。)) or (((-18 * -20) < (9 * -2 * 5 * -7) < (6 + 17)) or (((1 * -3 * -5 * 6) <= (18 - 11)) and (not ((2 % 4) < (10... | {
"game_data": {
"answer": "C,D,E,F,G",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 6,
"language": "cn",
"num_options": 7,
"seed": 54628151,
"true_count": 5
},
"question": "请评估以下布尔表达式，选择其中为真的选项：\n\nA. (((((16 + 17) <= (17 * 7)) and (新西兰的首都是惠灵顿。)) o... |
logic-v2 | 检验这些表达式：
A. not (not (((((冰的密度比液态水小。) or (袋鼠有2条腿。)) or ((瑞士的货币是雷亚尔。) or ((-1 + 7) != (4 ** 1)))) and (水星是距离太阳第1近的行星。) and (((54小于等于80。) or ((-14 * 5) >= (-17 + -3))) and (((-12 + -4) == (7 + -10)) and (第一次世界大战结束发生在1917年。)))) or (((5 ** 3) <= (-6 * -4) <= (9 * 1 * -2 * 3)) or ((-18 + -2) == (-17 + 11)) or ((((5 ** 1) <... | {
"game_data": {
"answer": "B",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 6,
"language": "cn",
"num_options": 4,
"seed": 63453201,
"true_count": 1
},
"question": "检验这些表达式：\n\nA. not (not (((((冰的密度比液态水小。) or (袋鼠有2条腿。)) or ((瑞士的货币是雷亚尔。) or ((-1 + 7... |
logic-v2 | Below are several boolean expressions:
A. not not ((The capital of Poland is Nairobi.) or (not (Japan is in Asia.)))
B. (not not (not (The capital of Finland is Tokyo.))) and ((10 * 2 + -10 * 0) != (0 * 10 - -7 * 2))
C. ((((-18 * -18) <= (10 + 19)) or ((16 * -10) != (-2 * -8 * -7 * -1))) and (((14 + -9) != (-10 + -3))... | {
"game_data": {
"answer": "B,D,F,H",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 3,
"language": "en",
"num_options": 8,
"seed": 70344808,
"true_count": 4
},
"question": "Below are several boolean expressions:\n\nA. not not ((The capital of Poland ... |
logic-v2 | 研究以下逻辑语句：
A. (((not (磷的化学符号是P。)) and (((金星是距离太阳第2近的行星。) or ((-14 * -3) > (8 - -16))) and ((3 * -2 + -3 * -10) <= (9 * -6 * -4 * 6) <= (-12 + 9)))) or (not (not (not ((-14 - -2) <= (-6 * 3 * -4 * -2) <= (37 % 1)))))) and ((not (not not ((2 * 10 - -8 * 8) > (18 + 16)))) and (((18 * -13) != (-3 * 2 - 1 * -4)) or ((8 * -9... | {
"game_data": {
"answer": "F",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 5,
"language": "cn",
"num_options": 8,
"seed": 99469369,
"true_count": 1
},
"question": "研究以下逻辑语句：\n\nA. (((not (磷的化学符号是P。)) and (((金星是距离太阳第2近的行星。) or ((-14 * -3) > (8 - -1... |
logic-v2 | Examine these expressions:
A. not (not ((((((8 + -14) > (50 % 1)) and ((3 * 6 * -10 * 0) <= (7 * 7 - -5 * -2) <= (-20 * 4))) or (not ((-12 + -1) != (3 ** 2)))) or (not not (Water is a liquid at room temperature.))) or (not not (((-11 * -11) >= (-5 * -10 + -9 * 1)) and (The 2012 Olympics were held in Antwerp.)))))
B. n... | {
"game_data": {
"answer": "A,B,C",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 6,
"language": "en",
"num_options": 3,
"seed": 36373901,
"true_count": 3
},
"question": "Examine these expressions:\n\nA. not (not ((((((8 + -14) > (50 % 1)) and ((3 * ... |
logic-v2 | 下面是几个布尔表达式：
A. (((1924年奥运会在巴黎举办。) and (((10 + 10) <= (33 % 2) <= (1 ** 3)) and (蛇有2条腿。))) and ((-20 + -14) != (1 + 3))) or (not not (((39 % 2) < (6 + -2)) or ((11 - 13) < (4 ** 3) < (5 - 11)))) or ((not not (((5 ** 1) != (2 ** 3)) or ((-2 * 10 - -4 * -2) < (6 + 4)))) or ((1988年奥运会在伦敦举办。) or (not not ((-14 + -17) < (-8... | {
"game_data": {
"answer": "A,B,D",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 4,
"language": "cn",
"num_options": 5,
"seed": 10624891,
"true_count": 3
},
"question": "下面是几个布尔表达式：\n\nA. (((1924年奥运会在巴黎举办。) and (((10 + 10) <= (33 % 2) <= (1 ** 3)) a... |
logic-v2 | 给定以下布尔表达式：
A. not not (not not (((((1 + 6) <= (-7 - 7) <= (-2 * 8 * 8 * -6)) and ((蜘蛛是昆虫。) and (2000年奥运会在悉尼举办。))) and (not ((6 - -5) < (-4 * -9 + -5 * -5) < (11 * 5)))) or ((二氧化碳在常温下是液体。) and (((4 ** 2) <= (14 - -9)) or (not not ((1 % 2) == (-9 * 3 * 6 * -2)))))))
B. not not (not (((((-10 - 2) < (2 - 2)) and (not not ... | {
"game_data": {
"answer": "D",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 6,
"language": "cn",
"num_options": 4,
"seed": 39391876,
"true_count": 1
},
"question": "给定以下布尔表达式：\n\nA. not not (not not (((((1 + 6) <= (-7 - 7) <= (-2 * 8 * 8 * -6)) and... |
logic-v2 | Here are some boolean expressions to evaluate:
A. not not (not not (((70 is a prime number.) or ((not (The currency of Mexico is the Pound.)) and ((A fish has 0 legs.) and ((-4 - 1) <= (18 * -9))))) and ((-1 + 6) > (8 * 16)) and (not (not not (((-4 * 5 * 3 * -9) < (6 * -3 - 2 * -10) < (2 + -18)) or (1932 is a leap yea... | {
"game_data": {
"answer": "B,C",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 6,
"language": "en",
"num_options": 4,
"seed": 41734699,
"true_count": 2
},
"question": "Here are some boolean expressions to evaluate:\n\nA. not not (not not (((70 is a ... |
logic-v2 | 给定以下布尔表达式：
A. (13 - 3) == (45 % 10)
B. (16是完全平方数。) or ((102是奇数。) or ((-18 - 15) < (18 + 10) < (15 + -14)))
C. (加拿大的首都是渥太华。) or (not not ((7 * -3 - 1 * 10) <= (11 * -18) <= (19 - 18)))
选出所有值为 True 的选项。在 \boxed{} 中以逗号分隔的形式给出答案。 | {
"game_data": {
"answer": "B,C",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 2,
"language": "cn",
"num_options": 3,
"seed": 22193359,
"true_count": 2
},
"question": "给定以下布尔表达式：\n\nA. (13 - 3) == (45 % 10)\nB. (16是完全平方数。) or ((102是奇数。) or ((-18 - 1... |
logic-v2 | Evaluate the following boolean expressions and select the ones that are true:
A. not ((((not (There are 31 days in July.)) and (not not (Italy is in Europe.)) and (not not ((1 ** 2) < (4 + -13)))) and (not ((2 * -10 - -1 * 1) <= (-4 * -7 + 4 * 10) <= (8 * -8 * -10 * 1)))) and (not (((((11 % 9) >= (-18 + -12)) and ((-1... | {
"game_data": {
"answer": "A,B,C",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 6,
"language": "en",
"num_options": 4,
"seed": 1825897,
"true_count": 3
},
"question": "Evaluate the following boolean expressions and select the ones that are true:\n\... |
logic-v2 | 请评估以下布尔表达式，选择其中为真的选项：
A. 1952年奥运会在赫尔辛基举办。
B. 章鱼有8条腿。
C. 碳的化学符号是P。
D. 蟑螂是鱼类。
E. (((-10 * -17) < (-5 * 19) < (-3 * 3 - 8 * 8)) and ((2 ** 3) == (22 % 3))) or ((冰在常温下是固体。) and (龙虾有6条腿。))
F. (((-6 * 7) != (-14 - -9)) and ((32 % 4) >= (5 ** 1))) and ((9 + 15) <= (11 + 6))
哪些选项的值为真？请列出所有为真的选项标识，用逗号分隔，填入 \boxed{} 中。 | {
"game_data": {
"answer": "A,B",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 2,
"language": "cn",
"num_options": 6,
"seed": 50664832,
"true_count": 2
},
"question": "请评估以下布尔表达式，选择其中为真的选项：\n\nA. 1952年奥运会在赫尔辛基举办。\nB. 章鱼有8条腿。\nC. 碳的化学符号是P。\nD. 蟑螂是鱼类。... |
logic-v2 | Evaluate the following boolean expressions and select the ones that are true:
A. not (not ((not (((24 is greater than 68.) and (7 is a perfect square.)) and (((-6 + 2) >= (-6 - 17)) and (20 is a prime number.)))) or ((-19 - -15) == (8 % 5)) or (not not (not (The first iPhone was released occurred in 2007.)))))
B. not ... | {
"game_data": {
"answer": "A",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 6,
"language": "en",
"num_options": 3,
"seed": 76142108,
"true_count": 1
},
"question": "Evaluate the following boolean expressions and select the ones that are true:\n\nA.... |
logic-v2 | 这里有一些需要评估的布尔表达式：
A. (not ((((-10 - -5) != (16 % 3)) and ((水在常温下是液体。) and ((2 * -16) <= (42 % 6) <= (1 ** 3))) and (not ((钻石由碳元素组成。) and (蚱蜢是昆虫。)))) and (((((2 * 10 + 8 * 0) != (45 % 3)) or (133是斐波那契数。)) or (not not ((-6 - 9) < (-4 + 9)))) and (((阿根廷位于南美洲。) and ((-4 + -13) < (20 * 6))) and ((越南的货币是越南盾。) or ((14 % 10) <... | {
"game_data": {
"answer": "A,B",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 6,
"language": "cn",
"num_options": 4,
"seed": 38254888,
"true_count": 2
},
"question": "这里有一些需要评估的布尔表达式：\n\nA. (not ((((-10 - -5) != (16 % 3)) and ((水在常温下是液体。) and ((2 *... |
logic-v2 | 检验这些表达式：
A. not ((not (not (2016年奥运会在里约热内卢举办。))) or (not (((not ((23 % 8) <= (-1 * 2 - -9 * 0) <= (-10 + -17))) and ((14 * 3) < (32 % 2))) or (not ((1936年奥运会在柏林举办。) or (铅的化学符号是U。))))))
B. (not not (((1912年奥运会在伦敦举办。) or ((-17 * 14) > (-1 - 16))) and ((not not (新西兰的货币是比索。)) and (not (蜘蛛是昆虫。))) and ((not (not not (光速比声速快... | {
"game_data": {
"answer": "D,G,H",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 6,
"language": "cn",
"num_options": 8,
"seed": 86467948,
"true_count": 3
},
"question": "检验这些表达式：\n\nA. not ((not (not (2016年奥运会在里约热内卢举办。))) or (not (((not ((23 % 8) <=... |
logic-v2 | 请评估以下布尔表达式，选择其中为真的选项：
A. (not not ((40 % 2) <= (-6 * -7 * 9 * 6))) and (((-5 * 2 + 8 * 7) < (-7 * 3 - 1 * 10) < (-9 * -8 - 4 * 4)) and (((苏联解体发生在2001年。) or ((-19 + 5) == (8 * -13))) or ((65大于29。) and ((38 % 3) <= (-11 - 13)))))
B. (not not (((-16 - -11) <= (12 * -3)) or (西班牙的首都是马德里。))) or ((氮气在常温下是液体。) and (((8 * -2 -... | {
"game_data": {
"answer": "B,C,D,E,G,H",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 4,
"language": "cn",
"num_options": 8,
"seed": 78521427,
"true_count": 6
},
"question": "请评估以下布尔表达式，选择其中为真的选项：\n\nA. (not not ((40 % 2) <= (-6 * -7 * 9 * 6))) and... |
logic-v2 | 分析以下逻辑表达式：
A. (not (not not (not not ((鹰是哺乳动物。) and ((5 % 3) < (1 ** 1)))))) and ((((电流比光速更快。) and ((-9 * 2) <= (-14 - 20) <= (13 + 12))) and (七月有29天。)) and (not (月球绕地球运转。)))
B. (not not (not (((3 ** 1) <= (4 - -12)) and (((-2 * 4 - 7 * -7) != (-4 * -4)) and (1900年奥运会在赫尔辛基举办。))))) or (not not (((2 ** 3) < (0 + 0)) and... | {
"game_data": {
"answer": "B,C,D,E",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 5,
"language": "cn",
"num_options": 8,
"seed": 2206623,
"true_count": 4
},
"question": "分析以下逻辑表达式：\n\nA. (not (not not (not not ((鹰是哺乳动物。) and ((5 % 3) < (1 ** 1)))))... |
logic-v2 | Evaluate each expression below:
A. not (not not (not (not not (The currency of United States is the Ruble.))))
B. (((((-6 - -2) <= (20 + 11)) or (The currency of Colombia is the Peso.)) or (((-1 * 7 * -2 * -2) != (3 ** 2)) or (874 is a Fibonacci number.))) or (((Italy is in Asia.) and ((-4 * -3 - 3 * -3) <= (2 ** 1)))... | {
"game_data": {
"answer": "B,C",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 4,
"language": "en",
"num_options": 4,
"seed": 33918134,
"true_count": 2
},
"question": "Evaluate each expression below:\n\nA. not (not not (not (not not (The currency of... |
logic-v2 | 评估以下每个表达式：
A. (((金鱼是哺乳动物。) and (铁在常温下是固体。)) or (not ((((4 ** 1) == (37 % 2)) and (瑞士的货币是韩元。)) and ((锌的化学符号是Zn。) and ((-5 * 9) >= (24 % 10)))))) and (((not not ((4 ** 3) >= (-12 - 18))) or (((法国的首都是哥本哈根。) or ((2 ** 2) <= (10 * -19))) and (二氧化碳在常温下是气体。))) and (not not ((not not ((-8 * 5 * -6 * 8) >= (3 ** 2))) and ((氧气对... | {
"game_data": {
"answer": "D",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 5,
"language": "cn",
"num_options": 5,
"seed": 25007838,
"true_count": 1
},
"question": "评估以下每个表达式：\n\nA. (((金鱼是哺乳动物。) and (铁在常温下是固体。)) or (not ((((4 ** 1) == (37 % 2)) and... |
logic-v2 | 分析以下逻辑表达式：
A. ((甲虫是昆虫。) or (((尼日利亚的首都是斯德哥尔摩。) or ((13 + 5) <= (-5 - 12))) or ((短吻鳄是爬行动物。) and (铁的化学符号是Fe。)))) or (((not ((3 * 8) >= (17 * -8))) and ((48 % 9) >= (6 + 17))) or (((-5 * -10 + -9 * 4) <= (3 * 2)) and (南极洲是最冷的大陆。)) or ((((3 ** 3) <= (3 * 14)) and ((-3 * 0 * 6 * 1) >= (-4 * 5 - -7 * -7))) and (1936年奥运会在柏林举办... | {
"game_data": {
"answer": "A,B,D",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 4,
"language": "cn",
"num_options": 4,
"seed": 4679355,
"true_count": 3
},
"question": "分析以下逻辑表达式：\n\nA. ((甲虫是昆虫。) or (((尼日利亚的首都是斯德哥尔摩。) or ((13 + 5) <= (-5 - 12))) or ... |
logic-v2 | 考虑以下布尔表达式：
A. ((not not ((1 ** 3) < (1 * 17) < (11 % 9))) or (人类每只手有五个手指。)) or (((-20 * -8) <= (-14 * -10)) or ((-10 - 17) != (16 * -13))) or (((三月有31天。) and ((13 % 2) < (-20 + -20))) and ((16 + -19) < (-9 * -1 + -6 * -2)))
B. not not (月球自己发光。)
C. (澳大利亚的货币是索尔。) or (not not (((4 ** 1) <= (1 ** 3)) and (第二次世界大战开始发生在1944... | {
"game_data": {
"answer": "A,D,F",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 3,
"language": "cn",
"num_options": 7,
"seed": 85212251,
"true_count": 3
},
"question": "考虑以下布尔表达式：\n\nA. ((not not ((1 ** 3) < (1 * 17) < (11 % 9))) or (人类每只手有五个手指。)) ... |
logic-v2 | 这里有一些需要评估的布尔表达式：
A. (not not ((((油在常温下是液体。) or ((5 * -10 + -9 * -2) < (4 * -3 * -2 * 5))) and (二氧化碳在常温下是气体。) and ((菲律宾的首都是拉巴特。) and ((俄罗斯的货币是卢布。) or ((-4 + -19) <= (-1 + 4))))) or (((1988年奥运会在蒙特利尔举办。) and (印度位于南美洲。)) or ((5 ** 3) != (2 - -13))) or ((not ((8 - -3) <= (-19 * 12))) or ((not (壁虎是昆虫。)) or ((-9 - 4) >= (4 *... | {
"game_data": {
"answer": "B,C,D,E,F",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 6,
"language": "cn",
"num_options": 7,
"seed": 91595578,
"true_count": 5
},
"question": "这里有一些需要评估的布尔表达式：\n\nA. (not not ((((油在常温下是液体。) or ((5 * -10 + -9 * -2) < (4... |
logic-v2 | Given the following boolean expressions:
A. ((((4 * 8 - -6 * -1) < (-20 * -20) < (-7 + -8)) and ((-7 * 5 + 10 * 1) <= (-8 * -1))) and ((United States is in Asia.) or ((42 % 6) == (3 - -15)))) or ((Sound travels faster in a vacuum.) and ((20 * 8) > (3 * 4 * -9 * 9))) or ((3 * -8 * 5 * -2) != (49 % 3))
B. (not not (The ... | {
"game_data": {
"answer": "A,B,C,D,F",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 3,
"language": "en",
"num_options": 6,
"seed": 75072845,
"true_count": 5
},
"question": "Given the following boolean expressions:\n\nA. ((((4 * 8 - -6 * -1) < (-20 ... |
logic-v2 | Evaluate the following boolean expressions and select the ones that are true:
A. (not not (not not (((-2 * 9) <= (-12 + 14) <= (19 + -13)) and (not not (Oil is a gas at room temperature.))))) and ((not not ((not (74 is greater than 43.)) and ((The currency of Israel is the Peso.) or ((-20 + -8) >= (29 % 3))))) or ((no... | {
"game_data": {
"answer": "B,C",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 5,
"language": "en",
"num_options": 7,
"seed": 21201090,
"true_count": 2
},
"question": "Evaluate the following boolean expressions and select the ones that are true:\n\n... |
logic-v2 | Below are several boolean expressions:
A. not (not ((2 ** 1) <= (-8 * -18) <= (8 * -11)))
B. 149 is an even number.
C. not ((36 % 2) != (1 ** 1))
D. ((The 2024 Olympics were held in Antwerp.) or (The currency of Thailand is the Naira.)) or ((Egypt is in Asia.) or ((-17 - 11) == (-17 - -11)))
E. ((The first Olympic Gam... | {
"game_data": {
"answer": "E,G",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 2,
"language": "en",
"num_options": 7,
"seed": 74920113,
"true_count": 2
},
"question": "Below are several boolean expressions:\n\nA. not (not ((2 ** 1) <= (-8 * -18) <= ... |
logic-v2 | Analyze these boolean expressions:
A. (-9 - -15) != (-3 + -10)
B. 55 is less than or equal to 49.
C. Saturn is the 6th planet from the Sun.
D. ((-4 - 1) < (-2 + 8)) or ((The currency of Brazil is the Krone.) and ((-5 * -5 * 4 * -8) == (3 * 12)))
E. (35 is an even number.) and (not not (Earth is the 3rd planet from the... | {
"game_data": {
"answer": "A,C,D",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 2,
"language": "en",
"num_options": 8,
"seed": 61065306,
"true_count": 3
},
"question": "Analyze these boolean expressions:\n\nA. (-9 - -15) != (-3 + -10)\nB. 55 is les... |
logic-v2 | 研究以下逻辑语句：
A. not (((10 * 9 * -1 * -6) > (-4 - 1)) and (天王星是距离太阳第4近的行星。))
B. (((6 - -19) > (8 * -3 * -1 * 4)) or (not (水星是距离太阳第7近的行星。))) and ((沙特阿拉伯位于大洋洲。) and ((中国的首都是巴黎。) or (氦气在常温下是液体。)))
C. not not (not (not not ((柏林墙倒塌发生在1989年。) or (钠的化学符号是N。))))
D. ((not ((土星是距离太阳第6近的行星。) and (意大利的首都是罗马。))) and ((not ((-9 * -8 * ... | {
"game_data": {
"answer": "A,E,F",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 4,
"language": "cn",
"num_options": 7,
"seed": 79542355,
"true_count": 3
},
"question": "研究以下逻辑语句：\n\nA. not (((10 * 9 * -1 * -6) > (-4 - 1)) and (天王星是距离太阳第4近的行星。))\nB.... |
logic-v2 | Below are several boolean expressions:
A. (not ((10 * -14) < (4 ** 3))) or (((((10 * -8) == (2 % 7)) and ((3 ** 3) <= (-9 + 7))) and ((4 + 7) >= (-5 + 14))) or (not not ((1 + 16) <= (4 * -20) <= (7 + -14))))
B. not not ((not (not ((-5 - 20) >= (14 * 20)))) and (not (not not (2096 is a leap year.))))
C. not not (not no... | {
"game_data": {
"answer": "C,E,F",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 4,
"language": "en",
"num_options": 6,
"seed": 79903304,
"true_count": 3
},
"question": "Below are several boolean expressions:\n\nA. (not ((10 * -14) < (4 ** 3))) or (... |
logic-v2 | 评估以下每个表达式：
A. not not (((((金星是距离太阳第5近的行星。) and (138是奇数。)) and (not not ((三月有31天。) and (汞在常温下是液体。)))) and ((摩洛哥的首都是马尼拉。) or (not not (not (磷的化学符号是P。))))) and (((((11 * 5) <= (17 + 4)) or (((27 % 4) >= (27 % 6)) or (184是偶数。))) and ((81能被9整除。) and (1924年奥运会在安特卫普举办。)) and (not not ((瑞士的货币是卢比。) or ((-9 - 8) >= (3 ** 3)))))... | {
"game_data": {
"answer": "B,D",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 6,
"language": "cn",
"num_options": 4,
"seed": 11490013,
"true_count": 2
},
"question": "评估以下每个表达式：\n\nA. not not (((((金星是距离太阳第5近的行星。) and (138是奇数。)) and (not not ((三月有31... |
logic-v2 | Consider the following logical expressions:
A. (not ((The chemical symbol for Copper is Cu.) and ((10 * 9 + -3 * 10) >= (-1 + 1)))) or (A bee is an insect.)
B. not (((1926 is a leap year.) and ((5 ** 1) >= (5 ** 2))) or ((-8 + -4) <= (-3 + -19) <= (10 - 0)))
C. not not (1950 is a leap year.)
D. ((The currency of Czech... | {
"game_data": {
"answer": "A,B,D,F",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 3,
"language": "en",
"num_options": 7,
"seed": 91501419,
"true_count": 4
},
"question": "Consider the following logical expressions:\n\nA. (not ((The chemical symbol ... |
logic-v2 | Review these logical expressions:
A. not ((not (((A ant has 6 legs.) or ((The currency of Saudi Arabia is the Riyal.) or (Uranus is the 7th planet from the Sun.))) and (27 is a perfect square.))) or (((not not (Neptune is the 2nd planet from the Sun.)) or ((Uranus is the 7th planet from the Sun.) and ((44 % 3) <= (2 -... | {
"game_data": {
"answer": "C,E,G",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 6,
"language": "en",
"num_options": 7,
"seed": 11359105,
"true_count": 3
},
"question": "Review these logical expressions:\n\nA. not ((not (((A ant has 6 legs.) or ((Th... |
logic-v2 | 分析以下逻辑表达式：
A. not ((氧气在常温下是固体。) or (((-1 * -2 + -8 * -9) >= (5 ** 1)) and (沙特阿拉伯位于亚洲。)) or ((not not (九月有28天。)) or ((第一次世界大战结束发生在1918年。) and ((-6 * 2 + -10 * 2) <= (-1 * -17)))))
B. (not ((4小于等于11。) or ((螃蟹有100条腿。) and (十月有31天。)))) or ((((-3 * 7) < (30 % 4)) and ((-1 * 10 * -1 * -4) == (9 * 7))) and ((金星是距离太阳第8近的行星。) ... | {
"game_data": {
"answer": "H",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 4,
"language": "cn",
"num_options": 8,
"seed": 72820137,
"true_count": 1
},
"question": "分析以下逻辑表达式：\n\nA. not ((氧气在常温下是固体。) or (((-1 * -2 + -8 * -9) >= (5 ** 1)) and (沙特阿拉伯... |
logic-v2 | 评估以下每个表达式：
A. (((墨西哥的首都是圣地亚哥。) and (蚊子是爬行动物。)) and ((not (not not (埃及位于非洲。))) or ((((9 * 15) == (5 ** 1)) and (氧气在常温下是气体。)) and (水星是距离太阳第1近的行星。)))) or ((((((-5 * 1) >= (10 - 2)) and (沙特阿拉伯的货币是卢比。)) and (韩国的货币是韩元。)) or ((((-18 - -13) != (5 * 1 - -5 * 9)) or (144的平方根是3。)) and ((2 + 11) >= (-20 - -17)))) or ((not not ((以... | {
"game_data": {
"answer": "A,D",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 5,
"language": "cn",
"num_options": 5,
"seed": 47474507,
"true_count": 2
},
"question": "评估以下每个表达式：\n\nA. (((墨西哥的首都是圣地亚哥。) and (蚊子是爬行动物。)) and ((not (not not (埃及位于非洲。))) ... |
logic-v2 | 给定以下布尔表达式：
A. (not not ((瑞士的货币是美元。) and ((9 * 5 * -5 * 5) <= (18 + 3)))) or ((-16 + 1) <= (0 * -2 * -7 * 0)) or ((-6 * 3) <= (3 + 3) <= (-6 - 5))
B. not ((鸭子有2条腿。) or ((一月有30天。) and (沙特阿拉伯的首都是曼谷。)))
C. ((((-18 * 14) > (0 + 0)) or ((49 % 8) < (-14 - 20) < (1 ** 1))) and ((1960年奥运会在圣路易斯举办。) or ((-13 + -15) < (5 * 9 + -5... | {
"game_data": {
"answer": "A",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 3,
"language": "cn",
"num_options": 3,
"seed": 15062591,
"true_count": 1
},
"question": "给定以下布尔表达式：\n\nA. (not not ((瑞士的货币是美元。) and ((9 * 5 * -5 * 5) <= (18 + 3)))) or ((-1... |
logic-v2 | 检验这些表达式：
A. (-15 * 16) != (4 ** 2)
B. ((火星是距离太阳最近的行星。) or (越南的货币是里拉。)) and (((-10 * -5) <= (10 + 7) <= (14 + -4)) and (汞在常温下是液体。))
C. 氧的化学符号是Cr。
D. ((1 * 12) <= (13 - 16)) or (not ((7 * 11) < (46 % 2) < (2 ** 1)))
E. (((9 * 3 + -8 * -9) <= (9 - -2)) and ((0 * -8) >= (-4 + -18))) or ((加拿大的首都是渥太华。) and ((-5 + -18) != (8... | {
"game_data": {
"answer": "A,D,E,G",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 2,
"language": "cn",
"num_options": 7,
"seed": 56863830,
"true_count": 4
},
"question": "检验这些表达式：\n\nA. (-15 * 16) != (4 ** 2)\nB. ((火星是距离太阳最近的行星。) or (越南的货币是里拉。)) an... |
logic-v2 | 研究以下逻辑语句：
A. not ((-5 + -11) <= (-4 * 7 - 9 * -10) <= (15 - 13))
B. not not ((((4 ** 2) < (9 + -8)) or (土星是距离太阳第6近的行星。)) and (((35 % 4) < (-14 - 7) < (-1 * -6)) or (第一次世界大战开始发生在1904年。)))
C. not not ((not (四月有30天。)) or (土星是距离太阳第1近的行星。))
哪些语句为真？在 \boxed{} 中填入所有为真的选项标识，用逗号分隔。 | {
"game_data": {
"answer": "A",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 3,
"language": "cn",
"num_options": 3,
"seed": 56134000,
"true_count": 1
},
"question": "研究以下逻辑语句：\n\nA. not ((-5 + -11) <= (-4 * 7 - 9 * -10) <= (15 - 13))\nB. not not (((... |
logic-v2 | 下面是几个布尔表达式：
A. ((铬的化学符号是Cr。) or (((-11 - 12) >= (-20 * -14)) and (俄罗斯的首都是拉巴特。)) or (2020年奥运会在伦敦举办。)) and (not ((((11 - -19) < (-8 * 0) < (-1 * -3 * -9 * -7)) and ((3 * 20) < (28 % 5))) and (五月有31天。)))
B. not not (((澳大利亚位于非洲。) or (((17 % 7) <= (4 * -6 * -7 * -4)) or (马是哺乳动物。))) and ((((-17 * 11) > (-8 * 10 * 6 * -3)) o... | {
"game_data": {
"answer": "A,C,D",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 4,
"language": "cn",
"num_options": 4,
"seed": 57870790,
"true_count": 3
},
"question": "下面是几个布尔表达式：\n\nA. ((铬的化学符号是Cr。) or (((-11 - 12) >= (-20 * -14)) and (俄罗斯的首都是拉巴特... |
logic-v2 | 审视以下逻辑表达式：
A. ((not ((((1 ** 2) < (-5 * 3 - -6 * 7) < (3 ** 1)) or (鱼有0条腿。)) or (沙特阿拉伯位于亚洲。))) and (not not (埃及的货币是日元。))) and (not ((not (not ((-4 * 10) > (-5 * 2 - 5 * -9)))) and (((瑞士的首都是罗马。) and (芬兰的首都是赫尔辛基。)) or (((19 % 9) > (12 + 9)) or (俄罗斯的首都是莫斯科。)))))
B. ((not ((37 % 3) < (-5 + 5) < (23 % 5))) or ((巴西的货币是雷亚尔。)... | {
"game_data": {
"answer": "B,C,D",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 5,
"language": "cn",
"num_options": 5,
"seed": 61503507,
"true_count": 3
},
"question": "审视以下逻辑表达式：\n\nA. ((not ((((1 ** 2) < (-5 * 3 - -6 * 7) < (3 ** 1)) or (鱼有0条腿。))... |
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