env stringclasses 1
value | prompt stringlengths 85 3.69k | extra dict |
|---|---|---|
logic-v2 | 分析以下逻辑表达式：
A. ((挪威的货币是越南盾。) and (银的化学符号是Cu。)) or (2004年奥运会在雅典举办。)
B. not ((木头在常温下是固体。) and (美国位于北美洲。))
C. ((5 ** 2) == (-3 * 10 + 1 * 4)) or (not not (天王星是距离太阳第7近的行星。))
D. 木星是距离太阳第5近的行星。
E. not not ((11 - -15) < (5 - -2))
F. (((-8 - 0) >= (15 + 20)) or (钻石由碳元素组成。)) and ((-15 + 12) > (-5 * 5 - 8 * 5))
判断哪些表达式为真。在 \box... | {
"game_data": {
"answer": "A,C,D,F",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 2,
"language": "cn",
"num_options": 6,
"seed": 19463713,
"true_count": 4
},
"question": "分析以下逻辑表达式：\n\nA. ((挪威的货币是越南盾。) and (银的化学符号是Cu。)) or (2004年奥运会在雅典举办。)\nB. not ... |
logic-v2 | Review these logical expressions:
A. (not ((not not (A butterfly has 6 legs.)) and (not not (Mercury is the 7th planet from the Sun.)))) or (not (((1 * -7 * -10 * 5) == (-7 * -4 - -10 * 10)) and ((1 * -5 + -7 * -3) > (-5 * -16)))) or (((The capital of Argentina is Buenos Aires.) and (((-4 * -3 * -10 * -7) > (9 * 9 + 1... | {
"game_data": {
"answer": "A,C",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 4,
"language": "en",
"num_options": 5,
"seed": 65859450,
"true_count": 2
},
"question": "Review these logical expressions:\n\nA. (not ((not not (A butterfly has 6 legs.))... |
logic-v2 | Here are some boolean expressions to evaluate:
A. (20 - 5) < (-16 + 0)
B. 2054 is a leap year.
C. ((-20 - 4) == (36 % 3)) or ((3 % 1) >= (-12 * 6))
D. ((1912 is a leap year.) or (963 is a Fibonacci number.)) and ((Chile is in South America.) or ((5 ** 3) == (6 * 10 * -2 * 6)))
E. (((19 * 2) <= (-6 * 6) <= (9 * 7 - 9 *... | {
"game_data": {
"answer": "C,D,F",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 2,
"language": "en",
"num_options": 6,
"seed": 85042337,
"true_count": 3
},
"question": "Here are some boolean expressions to evaluate:\n\nA. (20 - 5) < (-16 + 0)\nB. 2... |
logic-v2 | 分析以下逻辑表达式：
A. not not ((not ((水在海平面上的沸点是100摄氏度。) or ((25 % 3) <= (-4 + 20)))) or ((not not (第一次世界大战开始发生在1914年。)) and (土星是距离太阳第2近的行星。)))
B. not (((((16 - -14) < (-2 + -1) < (-13 * -15)) and ((-9 + 4) != (-14 - -15))) or (((0 - -5) > (-7 + 13)) and ((-13 + 6) == (-1 * -2 + 4 * -10)))) and (not not (蜥蜴是爬行动物。)) and (((第一次... | {
"game_data": {
"answer": "B,C",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 4,
"language": "cn",
"num_options": 3,
"seed": 517883,
"true_count": 2
},
"question": "分析以下逻辑表达式：\n\nA. not not ((not ((水在海平面上的沸点是100摄氏度。) or ((25 % 3) <= (-4 + 20)))) or... |
logic-v2 | Evaluate each expression below:
A. not (not (not (not not (A crab has 10 legs.))))
B. ((((There are 28 days in May.) or (1969 is a leap year.)) and (((12 + 12) < (-14 * 2)) and (A fly is an insect.))) and (((15 * 15) < (9 + -4) < (44 % 4)) and ((6 * 7 - 3 * -8) <= (-7 - -20))) and ((5 ** 2) <= (-2 + 4))) and (((17 + 1... | {
"game_data": {
"answer": "C",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 4,
"language": "en",
"num_options": 3,
"seed": 95735524,
"true_count": 1
},
"question": "Evaluate each expression below:\n\nA. not (not (not (not not (A crab has 10 legs.))... |
logic-v2 | Below are several boolean expressions:
A. not (not (not (not ((not ((8 - -17) >= (4 + -15))) or (not not (A rabbit is an insect.))))))
B. not (((not ((not not ((-20 * 5) < (-11 - 13))) or (A bee is an insect.))) and (((3 * 4 * -2 * 4) <= (-15 - -15)) or ((not (38 is an even number.)) or ((The chemical symbol for Manga... | {
"game_data": {
"answer": "D,H",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 6,
"language": "en",
"num_options": 8,
"seed": 4343160,
"true_count": 2
},
"question": "Below are several boolean expressions:\n\nA. not (not (not (not ((not ((8 - -17) >... |
logic-v2 | Review these logical expressions:
A. not not (not (((not not (The chemical symbol for Sodium is Na.)) and (The 1924 Olympics were held in London.)) and ((3 ** 3) >= (18 % 1)) and ((((Ice is less dense than liquid water.) or (The currency of Thailand is the Ringgit.)) and ((35 % 7) < (2 % 4))) or ((((-2 + -16) == (10 *... | {
"game_data": {
"answer": "A,D,F",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 6,
"language": "en",
"num_options": 6,
"seed": 45820035,
"true_count": 3
},
"question": "Review these logical expressions:\n\nA. not not (not (((not not (The chemical s... |
logic-v2 | Evaluate each expression below:
A. (not not (61 is a prime number.)) or (Jupiter is the 1st planet from the Sun.)
B. not ((4 + 19) >= (1 + 8))
C. (20 + 8) > (3 + 9)
D. (((17 % 9) >= (4 * 4)) or (154 is an even number.)) or (not ((29 % 9) > (9 - 3)))
List all options that evaluate to True, separated by commas, in \box... | {
"game_data": {
"answer": "A,C,D",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 2,
"language": "en",
"num_options": 4,
"seed": 62835531,
"true_count": 3
},
"question": "Evaluate each expression below:\n\nA. (not not (61 is a prime number.)) or (Jup... |
logic-v2 | 这里有一些需要评估的布尔表达式：
A. not not (((-1 * -8 + 6 * 8) <= (3 ** 2) <= (9 * 15)) or (1948年奥运会在阿姆斯特丹举办。))
B. (大象有4条腿。) or ((-14 - -12) == (17 + 16))
C. (((-11 * -19) <= (2 * 13)) or (587是斐波那契数。)) or ((9 % 8) <= (6 * 7 * 9 * -5))
D. not (印度尼西亚的首都是基辅。)
找出所有为 True 的表达式。在 \boxed{} 中给出答案，用逗号分隔。 | {
"game_data": {
"answer": "B,D",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 2,
"language": "cn",
"num_options": 4,
"seed": 94183391,
"true_count": 2
},
"question": "这里有一些需要评估的布尔表达式：\n\nA. not not (((-1 * -8 + 6 * 8) <= (3 ** 2) <= (9 * 15)) or (1... |
logic-v2 | Evaluate the following boolean expressions and select the ones that are true:
A. not (The capital of Finland is Helsinki.)
B. not (((2 ** 3) != (21 % 9)) and (The 1968 Olympics were held in Paris.))
C. Whales are fish.
D. (not ((-6 * 20) >= (-7 * -7 - 10 * 8))) or ((-5 - 2) != (-1 - 5))
Which options evaluate to True... | {
"game_data": {
"answer": "B,D",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 2,
"language": "en",
"num_options": 4,
"seed": 5590178,
"true_count": 2
},
"question": "Evaluate the following boolean expressions and select the ones that are true:\n\nA... |
logic-v2 | Here are some boolean expressions to evaluate:
A. not not (not not ((((The 1996 Olympics were held in Atlanta.) and (((-20 + 11) > (2 ** 2)) or ((-13 * 7) < (-13 - 17)))) and ((-10 * -8 - -6 * -5) >= (-14 - -16))) or (not not (not not (not not ((-18 * -10) == (-3 + 3)))))))
B. not not ((not not ((((2 % 6) > (-6 - 18))... | {
"game_data": {
"answer": "A,B,C,F,G,H",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 6,
"language": "en",
"num_options": 8,
"seed": 1777675,
"true_count": 6
},
"question": "Here are some boolean expressions to evaluate:\n\nA. not not (not not ((((... |
logic-v2 | Examine these expressions:
A. Mars is the closest planet to the Sun.
B. ((Chile is in South America.) and ((4 ** 2) == (-9 + 6))) or (The 1948 Olympics were held in London.)
C. (15 - 0) != (1 ** 3)
D. not not (((20 + 20) >= (-12 + -5)) and (Earth is the 1st planet from the Sun.))
E. The capital of Colombia is Bogota.
... | {
"game_data": {
"answer": "B,C,E,F",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 2,
"language": "en",
"num_options": 8,
"seed": 49665146,
"true_count": 4
},
"question": "Examine these expressions:\n\nA. Mars is the closest planet to the Sun.\nB. (... |
logic-v2 | Evaluate the following boolean expressions and select the ones that are true:
A. not not (not (not (not not (not not ((Oxygen is necessary for human survival.) or (There are 31 days in February.))))))
B. not not (not (not not ((The capital of Peru is Berlin.) or (not not ((1 ** 2) != (48 % 3))))))
C. not (not ((not no... | {
"game_data": {
"answer": "A,E,F",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 6,
"language": "en",
"num_options": 7,
"seed": 35372005,
"true_count": 3
},
"question": "Evaluate the following boolean expressions and select the ones that are true:\n... |
logic-v2 | Consider the following logical expressions:
A. not not (not not ((((5 * -8 + -9 * 10) != (-10 + -7)) and (((8 * -12) < (8 + -1) < (-3 - -17)) and ((0 * 0 - 1 * 6) > (3 - 13)))) and ((-20 * -11) <= (-15 + 3) <= (-12 - -14)) and (not (not not (2035 is a leap year.)))))
B. (not (not ((((A peacock is a bird.) or (A snake ... | {
"game_data": {
"answer": "C",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 6,
"language": "en",
"num_options": 4,
"seed": 58932551,
"true_count": 1
},
"question": "Consider the following logical expressions:\n\nA. not not (not not ((((5 * -8 + -9 ... |
logic-v2 | Evaluate each expression below:
A. not (not (not not (not not (not not (The square root of 16 is 4.)))))
B. (not not ((not not ((11 * 12) >= (11 - -14))) and (not ((((-11 * 19) < (20 + -9)) or (Bats are blind.)) or (The capital of Cuba is Havana.))))) or (not not ((not not (((A cow has 4 legs.) or ((4 ** 1) < (1 - 7))... | {
"game_data": {
"answer": "A,B,F",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 6,
"language": "en",
"num_options": 6,
"seed": 65854662,
"true_count": 3
},
"question": "Evaluate each expression below:\n\nA. not (not (not not (not not (not not (The ... |
logic-v2 | Given the following boolean expressions:
A. not ((not ((There are 31 days in January.) or ((Indonesia is in Asia.) and (not not (Mercury is a liquid at room temperature.))))) and ((not not ((-15 * -13) >= (13 * -7))) and ((not not (The currency of Nigeria is the Riyal.)) or (not ((3 - 0) > (16 * -11))))))
B. not not (... | {
"game_data": {
"answer": "A,B,C",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 6,
"language": "en",
"num_options": 3,
"seed": 99921361,
"true_count": 3
},
"question": "Given the following boolean expressions:\n\nA. not ((not ((There are 31 days in... |
logic-v2 | 考虑以下布尔表达式：
A. not not (((not (not (not ((15 - 5) < (-6 * -3 + -4 * -5))))) and (((尼日利亚的首都是曼谷。) and ((-7 * 6) < (3 ** 1))) and ((-3 * -8 * 8 * 5) == (-10 * -10 - -10 * -5))) and (not not ((-19 + 17) >= (2 ** 3)))) or (not not (not not ((((15 + 4) >= (2 + -16)) or ((4 ** 1) <= (5 ** 2))) and (not (葡萄牙的首都是河内。))))))
B. no... | {
"game_data": {
"answer": "A,B,C,F,G",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 6,
"language": "cn",
"num_options": 7,
"seed": 87095295,
"true_count": 5
},
"question": "考虑以下布尔表达式：\n\nA. not not (((not (not (not ((15 - 5) < (-6 * -3 + -4 * -5)))... |
logic-v2 | Analyze these boolean expressions:
A. The human body has 206 bones.
B. (not (not (not ((12 % 10) != (-18 * 3))))) and (not (((((-10 + 18) < (24 % 10) < (4 ** 1)) and ((1 ** 2) < (0 * -5 - 3 * 0))) and ((India is in Asia.) and (A gecko is a reptile.))) and (not not ((((-5 + 20) < (6 % 2)) or (There are 29 days in July.... | {
"game_data": {
"answer": "A",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 6,
"language": "en",
"num_options": 3,
"seed": 83184277,
"true_count": 1
},
"question": "Analyze these boolean expressions:\n\nA. The human body has 206 bones.\nB. (not (no... |
logic-v2 | 审视以下逻辑表达式：
A. (((((-7 * -8 - 2 * 9) < (-6 + -15)) and ((-19 + 5) == (6 + 5))) and (not (钻石在常温下是固体。))) or ((-7 * -11) != (2 - 8)) or ((not not (金星是距离太阳第2近的行星。)) or ((10 - -17) == (4 ** 1)))) and (not ((7 % 8) == (-15 + -5)))
B. (not ((not (八月有31天。)) or (((8 - 17) < (-4 - -15)) and (土星是距离太阳第6近的行星。)))) and ((not not (((1... | {
"game_data": {
"answer": "A,D,E",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 4,
"language": "cn",
"num_options": 5,
"seed": 18390386,
"true_count": 3
},
"question": "审视以下逻辑表达式：\n\nA. (((((-7 * -8 - 2 * 9) < (-6 + -15)) and ((-19 + 5) == (6 + 5))... |
logic-v2 | Evaluate the following boolean expressions and select the ones that are true:
A. not not (not (((not (Sound travels faster in a vacuum.)) and ((-7 * -5 + 1 * 8) == (11 + 4)) and ((((6 * 11) > (45 % 9)) and ((14 * -9) <= (4 * 9 - -6 * 10) <= (5 + 14))) and ((2 * -1) < (-9 * 1 - -6 * -7) < (14 * -20)))) and ((((7 + -5) ... | {
"game_data": {
"answer": "A,B",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 6,
"language": "en",
"num_options": 3,
"seed": 85480082,
"true_count": 2
},
"question": "Evaluate the following boolean expressions and select the ones that are true:\n\n... |
logic-v2 | 考虑以下布尔表达式：
A. not not (太阳绕地球运转。)
B. not ((-1 - 9) <= (-17 - 12))
C. not not (((汞在常温下是气体。) and ((5 - -3) < (-12 * -18))) or ((九月有31天。) or (泰国的货币是泰铢。)))
哪些表达式的值为 True？请在 \boxed{} 中给出答案，用逗号分隔选项标识。 | {
"game_data": {
"answer": "B,C",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 3,
"language": "cn",
"num_options": 3,
"seed": 91535532,
"true_count": 2
},
"question": "考虑以下布尔表达式：\n\nA. not not (太阳绕地球运转。)\nB. not ((-1 - 9) <= (-17 - 12))\nC. not not ... |
logic-v2 | Analyze these boolean expressions:
A. not ((not not (((((4 ** 3) >= (0 - -17)) or ((8 * 13) > (-2 * -5 - -2 * 0))) or (((-16 + 20) < (8 + -7)) and (The 1908 Olympics were held in Tokyo.))) or (not (((4 ** 2) >= (-10 * -2 * -7 * -8)) and ((13 - -3) <= (-17 - -3)))))) or (not not (((((-14 - 10) <= (4 ** 2) <= (1 ** 3)) ... | {
"game_data": {
"answer": "B,C",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 6,
"language": "en",
"num_options": 3,
"seed": 55723312,
"true_count": 2
},
"question": "Analyze these boolean expressions:\n\nA. not ((not not (((((4 ** 3) >= (0 - -17))... |
logic-v2 | 下面是几个布尔表达式：
A. (not ((((-8 + -1) > (5 ** 2)) and (1968年奥运会在墨西哥城举办。)) and (美国宣布独立发生在1777年。) and ((not ((-9 + 8) >= (7 * 0 - -10 * 8))) or ((土星是距离太阳第2近的行星。) or (not not (匈牙利的货币是福林。)))))) or (not (not not (((-10 * 6 - -7 * -1) > (13 - 1)) and (秘鲁位于北美洲。))))
B. not not ((not not ((中国位于大洋洲。) or ((not (越南的货币是泰铢。)) and (304是斐... | {
"game_data": {
"answer": "A,D,E",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 6,
"language": "cn",
"num_options": 8,
"seed": 87131111,
"true_count": 3
},
"question": "下面是几个布尔表达式：\n\nA. (not ((((-8 + -1) > (5 ** 2)) and (1968年奥运会在墨西哥城举办。)) and (美国... |
logic-v2 | 下面是几个布尔表达式：
A. ((526是斐波那契数。) and (not not (not not (氖的化学符号是Ne。)))) and (not not ((((15 - -3) >= (-6 + 1)) or (十二月有31天。)) or (not (意大利位于欧洲。))))
B. not (not (二氧化碳在常温下是液体。))
C. not not (not not (九月有28天。))
D. not not (((((-1 * -10 * 2 * 4) >= (14 - -3)) and (秘鲁位于非洲。)) and ((6 * -6) <= (11 - 4))) and (not not ((印度尼西亚的首都是巴黎... | {
"game_data": {
"answer": "G",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 4,
"language": "cn",
"num_options": 7,
"seed": 23075088,
"true_count": 1
},
"question": "下面是几个布尔表达式：\n\nA. ((526是斐波那契数。) and (not not (not not (氖的化学符号是Ne。)))) and (not not ... |
logic-v2 | 这里有一些需要评估的布尔表达式：
A. not (not not (((((-19 * 6) < (36 % 5) < (11 * 11)) and (not (钠的化学符号是Mg。))) and ((镁的化学符号是Mg。) and (氦的化学符号是S。)) and ((((-19 - -17) == (8 * 5 - 5 * 6)) or (人类首次登月发生在1969年。)) or ((铀的化学符号是Cr。) or ((-17 - -10) <= (4 % 9))))) and ((((79能被11整除。) and ((1 ** 3) >= (1 * 8 - -6 * -5))) and (not (土星是距离太阳第5近的行星。... | {
"game_data": {
"answer": "A,C,D",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 6,
"language": "cn",
"num_options": 6,
"seed": 87512450,
"true_count": 3
},
"question": "这里有一些需要评估的布尔表达式：\n\nA. not (not not (((((-19 * 6) < (36 % 5) < (11 * 11)) and (... |
logic-v2 | 下面是几个布尔表达式：
A. ((not not ((((4 ** 1) >= (-17 + 0)) or (火星是距离太阳第4近的行星。)) or (not (摩洛哥位于非洲。)))) and (((((6 * 2 + -9 * 10) >= (1 + 2)) and (法国大革命开始发生在1779年。)) and ((莱特兄弟首次飞行发生在1903年。) or (木头在常温下是固体。))) and ((((46 % 4) < (-8 * -8)) and ((11 % 8) <= (-12 + 14) <= (38 % 1))) and ((鱼有10条腿。) or ((10 * 9 * 4 * -6) != (5 - 3)))... | {
"game_data": {
"answer": "A,C,F,G,H",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 5,
"language": "cn",
"num_options": 8,
"seed": 50672680,
"true_count": 5
},
"question": "下面是几个布尔表达式：\n\nA. ((not not ((((4 ** 1) >= (-17 + 0)) or (火星是距离太阳第4近的行星。)) ... |
logic-v2 | 审视以下逻辑表达式：
A. not (not (not not (((not ((-13 - -3) < (-4 - 11) < (3 + 7))) and (氧气对人类生存是必需的。)) or ((not (707是斐波那契数。)) or ((木星是距离太阳第5近的行星。) or ((-4 * -3 + -9 * -6) < (17 - -7)))))))
B. not (((((((17 - -3) != (2 * 18)) and (人体有206块骨头。)) and (九月有29天。)) and (氧的化学符号是Al。)) or (((木头在常温下是固体。) or ((-16 - -14) == (18 * -8))) an... | {
"game_data": {
"answer": "A,B,F,G",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 6,
"language": "cn",
"num_options": 8,
"seed": 70706267,
"true_count": 4
},
"question": "审视以下逻辑表达式：\n\nA. not (not (not not (((not ((-13 - -3) < (-4 - 11) < (3 + 7)))... |
logic-v2 | 这里有一些需要评估的布尔表达式：
A. ((((天王星是距离太阳第5近的行星。) and ((天王星是距离太阳第3近的行星。) or (闪电不会两次击中同一个地方。))) and ((6 + -13) <= (2 * -7 - -2 * -7) <= (-4 + -5))) and ((11 - -6) == (-2 - -19)) and (((1 + 20) <= (4 * 5 + 5 * -1)) and (((269是完全平方数。) and (猪有4条腿。)) or (not not ((-10 * 8 - -1 * 2) <= (10 * 3 + 9 * 10)))))) and ((not not ((意大利位于欧洲。... | {
"game_data": {
"answer": "C,D",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 5,
"language": "cn",
"num_options": 4,
"seed": 71385057,
"true_count": 2
},
"question": "这里有一些需要评估的布尔表达式：\n\nA. ((((天王星是距离太阳第5近的行星。) and ((天王星是距离太阳第3近的行星。) or (闪电不会两次击中同一... |
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 ((12 + -15) > (-5 * 8 - -5 * 5))) or (((6 * -4 + 7 * -9) >= (10 * 9)) and ((20 + 12) < (3 ** 3)))))
B. not not (not not ((((((2 ** 2) < (3 ** 1)) or (1956年奥运会在墨尔本举办。)) or (not not ((12 * 8) < (-13 * 0)))) or (((哥伦布到达美洲发生在1493年。) and ((-11 * -13) == (-12 * 18))) and (not ... | {
"game_data": {
"answer": "B,F",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 6,
"language": "cn",
"num_options": 8,
"seed": 62655232,
"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. not not (not ((not not ((12 + -15) > (-5 * 8 - -5 * 5... |
logic-v2 | 评估以下每个表达式：
A. not not (not (not not ((10 * -2 + -7 * 10) <= (-9 * -5 - -4 * 5))))
B. (((((鲨鱼是哺乳动物。) and (五月有30天。)) and (not (水蒸气在常温下是液体。))) or (not not (印度尼西亚位于亚洲。))) and (((7 + -7) < (9 * 7)) or (not not (2052年是闰年。))) and (((((17 - -3) <= (2 ** 2)) and (巴西的货币是雷亚尔。)) or (not (1的平方根是1。))) or ((-10 - 11) >= (1 ** 1)))) ... | {
"game_data": {
"answer": "B",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 5,
"language": "cn",
"num_options": 3,
"seed": 21722472,
"true_count": 1
},
"question": "评估以下每个表达式：\n\nA. not not (not (not not ((10 * -2 + -7 * 10) <= (-9 * -5 - -4 * 5)))... |
logic-v2 | 考虑以下布尔表达式：
A. ((((-1 * 1 + 10 * 8) <= (-15 - 0)) or (新西兰的货币是新西兰元。)) and (not not (猫头鹰是鸟类。))) or ((not not (人体有206块骨头。)) or (((10 + -19) != (0 * -2 - 0 * 7)) or (地球是距离太阳第3近的行星。)))
B. (((1924年奥运会在巴黎举办。) or (植物通过光合作用产生氧气。)) and (肯尼亚位于非洲。)) and (not ((3 * 9 - -6 * -8) < (3 * 5 + 6 * 0)))
C. ((13 + -18) >= (38 % 5)) or (no... | {
"game_data": {
"answer": "A,C",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 3,
"language": "cn",
"num_options": 8,
"seed": 79494609,
"true_count": 2
},
"question": "考虑以下布尔表达式：\n\nA. ((((-1 * 1 + 10 * 8) <= (-15 - 0)) or (新西兰的货币是新西兰元。)) and (not n... |
logic-v2 | Evaluate the following boolean expressions and select the ones that are true:
A. (not ((((World War I ended occurred in 1918.) or (The capital of France is Beijing.)) or ((-19 * 16) < (-6 + -14) < (16 - 15))) and (not not (The 1964 Olympics were held in Paris.)) and ((The currency of Egypt is the Dong.) or ((Spain is ... | {
"game_data": {
"answer": "A,D",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 5,
"language": "en",
"num_options": 4,
"seed": 2044528,
"true_count": 2
},
"question": "Evaluate the following boolean expressions and select the ones that are true:\n\nA... |
logic-v2 | 分析以下逻辑表达式：
A. ((not not (not (not not (水星是距离太阳第1近的行星。)))) and ((((1968年奥运会在柏林举办。) and (2024年奥运会在蒙特利尔举办。)) and (not not (沙特阿拉伯的首都是利雅得。))) or ((not not (46是偶数。)) or (((-2 - -8) <= (-1 * -5 - -6 * -1)) and (新加坡的货币是里亚尔。))))) and (not (鸭子有2条腿。)) and (not not (not ((((-2 * 14) >= (0 * -2)) or (韩国的首都是东京。)) and ((美国宣布独立发生在178... | {
"game_data": {
"answer": "C",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 5,
"language": "cn",
"num_options": 5,
"seed": 86042328,
"true_count": 1
},
"question": "分析以下逻辑表达式：\n\nA. ((not not (not (not not (水星是距离太阳第1近的行星。)))) and ((((1968年奥运会在柏林举办。... |
logic-v2 | Review these logical expressions:
A. (not not (((0 - -19) > (-4 * 9 + -2 * 8)) and (((39 % 6) >= (-7 + -9)) and (Water is a liquid at room temperature.)) and ((-12 * -3) < (9 + 17)))) and (((2011 is a leap year.) or ((((9 + 15) < (23 % 10) < (4 ** 1)) or (The capital of Norway is Oslo.)) or (not ((13 + -13) < (-13 * 7... | {
"game_data": {
"answer": "F",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 5,
"language": "en",
"num_options": 6,
"seed": 99577497,
"true_count": 1
},
"question": "Review these logical expressions:\n\nA. (not not (((0 - -19) > (-4 * 9 + -2 * 8)) a... |
logic-v2 | Below are several boolean expressions:
A. ((Venus is the 8th planet from the Sun.) and ((Wood is a solid at room temperature.) and (The 2004 Olympics were held in Athens.))) or (Jupiter is the 4th planet from the Sun.)
B. ((Diamonds are made of carbon.) or (not not (The capital of Czech Republic is Riyadh.))) or (((-5... | {
"game_data": {
"answer": "B,D",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 3,
"language": "en",
"num_options": 5,
"seed": 8622883,
"true_count": 2
},
"question": "Below are several boolean expressions:\n\nA. ((Venus is the 8th planet from the Su... |
logic-v2 | Consider the following logical expressions:
A. (((1 - 0) < (7 + 9) < (45 % 3)) and (((-7 * 9 + -2 * -10) >= (18 - 12)) or ((The 1960 Olympics were held in Rome.) or (The chemical symbol for Manganese is Ca.)))) and (not (Neptune is the 4th planet from the Sun.)) and (not not ((((5 * 3) > (8 * 0 * -5 * -7)) or ((-6 + 6... | {
"game_data": {
"answer": "B,C",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 4,
"language": "en",
"num_options": 4,
"seed": 13521565,
"true_count": 2
},
"question": "Consider the following logical expressions:\n\nA. (((1 - 0) < (7 + 9) < (45 % 3))... |
logic-v2 | Here are some boolean expressions to evaluate:
A. not ((not (not not ((-5 * -9 * 7 * -8) >= (-7 - -5)))) or ((((7 * -8 - -2 * -4) >= (11 % 2)) and ((-10 - -16) >= (-18 + 14))) and (not ((There are 31 days in October.) and ((7 - 11) > (0 - 9))))) or (((((The Soviet Union dissolved occurred in 1991.) or (A cow has 4 leg... | {
"game_data": {
"answer": "B,D",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 6,
"language": "en",
"num_options": 5,
"seed": 14381612,
"true_count": 2
},
"question": "Here are some boolean expressions to evaluate:\n\nA. not ((not (not not ((-5 * -9... |
logic-v2 | Analyze these boolean expressions:
A. (not (not not ((1944 is a leap year.) and ((31 % 3) <= (16 + 4))))) or ((((1 % 6) >= (12 % 3)) and (A shark is a fish.)) and (((A ant is a reptile.) and (Antarctica is the coldest continent.)) and ((-2 + 14) < (0 + -9))))
B. ((not (not ((-6 * -6 * 3 * 4) == (2 - 8)))) or (The capi... | {
"game_data": {
"answer": "B,D,E",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 4,
"language": "en",
"num_options": 5,
"seed": 73006513,
"true_count": 3
},
"question": "Analyze these boolean expressions:\n\nA. (not (not not ((1944 is a leap year.) ... |
logic-v2 | 评估以下每个表达式：
A. (not not ((月球绕地球运转。) and ((0 * 7 - -6 * 2) == (2 ** 3)))) or ((氢的化学符号是He。) and ((德国的首都是柏林。) and (50是质数。)) and (not not ((蚂蚁有8条腿。) and ((-20 + 6) < (20 * -2)))))
B. (((((46 % 9) == (9 + -17)) or (阿根廷位于南美洲。)) or ((冰的密度比液态水小。) and (水蒸气在常温下是气体。))) or ((镍的化学符号是Ni。) or ((-15 + 12) != (-13 * 19))) or ((20 - -20... | {
"game_data": {
"answer": "B,C",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 4,
"language": "cn",
"num_options": 7,
"seed": 82024193,
"true_count": 2
},
"question": "评估以下每个表达式：\n\nA. (not not ((月球绕地球运转。) and ((0 * 7 - -6 * 2) == (2 ** 3)))) or ((氢... |
logic-v2 | Study the following logical statements:
A. ((((The chemical symbol for Silver is Ag.) and (Oxygen is a solid at room temperature.)) or (((7 - 4) <= (1 ** 1)) or ((6 * -3 - -6 * -3) > (19 % 8)))) or ((16 - 11) != (37 % 5))) and ((The capital of Egypt is Cairo.) and ((The currency of Saudi Arabia is the Riyal.) and ((10... | {
"game_data": {
"answer": "B,C,D,F,G",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 4,
"language": "en",
"num_options": 8,
"seed": 11859557,
"true_count": 5
},
"question": "Study the following logical statements:\n\nA. ((((The chemical symbol for S... |
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 ((19 + -1) >= (5 * 15)))) or (not ((苏联解体发生在1996年。) or ((氧气在常温下是气体。) or ((6 * 9 + 4 * -6) < (15 * -4)))))))
B. not not ((not (((-8 - -1) <= (5 ** 3)) or (2020年奥运会在柏林举办。))) or (not (not not ((28 % 8) <= (1 * 2 + -4 * 9)))))
C. not ((((智利位于大洋洲。) and (((孔雀是鸟类。) or (第二次世界大战结... | {
"game_data": {
"answer": "A,B,C,F",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 6,
"language": "cn",
"num_options": 7,
"seed": 7862733,
"true_count": 4
},
"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 ((19 + -1) >= (5 * 15)))) ... |
logic-v2 | 研究以下逻辑语句：
A. 人类每只手有五个手指。
B. not (氮气在常温下是气体。)
C. ((8 + 0) == (-4 * -5 - -10 * 6)) and (not ((南非的货币是克朗。) or ((3 * -7 + -2 * -7) < (18 + 6) < (8 * 8))))
D. (not (((21 % 6) < (18 * -19) < (31 % 8)) or (地球是距离太阳第7近的行星。))) and (not (((14 + 6) != (-6 + -3)) and ((-6 * -7 + -6 * 0) > (6 + 12))))
哪些语句为真？在 \boxed{} 中填入所有为真的选项标识... | {
"game_data": {
"answer": "A",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 3,
"language": "cn",
"num_options": 4,
"seed": 40323865,
"true_count": 1
},
"question": "研究以下逻辑语句：\n\nA. 人类每只手有五个手指。\nB. not (氮气在常温下是气体。)\nC. ((8 + 0) == (-4 * -5 - -10 * 6... |
logic-v2 | 给定以下布尔表达式：
A. (not not (not not (not not (((海王星是距离太阳第8近的行星。) or ((4 ** 3) > (3 ** 2))) and ((钻石在常温下是液体。) or (印度的货币是卢比。)))))) and ((not not (((9的平方根是9。) or ((第一次世界大战结束发生在1918年。) or (铜在常温下是液体。))) or (((龙虾有10条腿。) or ((2 + -11) < (2 * 2 + 0 * 2))) and (((40 % 2) > (-19 + -13)) or (金星是距离太阳第7近的行星。))))) or ((1900年奥运会在赫尔辛基举办。... | {
"game_data": {
"answer": "A",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 6,
"language": "cn",
"num_options": 4,
"seed": 71565540,
"true_count": 1
},
"question": "给定以下布尔表达式：\n\nA. (not not (not not (not not (((海王星是距离太阳第8近的行星。) or ((4 ** 3) > (3 *... |
logic-v2 | Examine these expressions:
A. ((((((1 ** 1) < (13 - 10) < (-4 - 20)) and ((4 * 9 + 0 * 10) <= (7 * 8 - 8 * 1))) and ((-7 - -17) <= (2 ** 2))) and (The Great Fire of London occurred in 1666.)) or (not ((A owl is a fish.) and ((The capital of China is Havana.) and ((-19 * -9) > (2 ** 1)))))) and ((not not (not not ((Nit... | {
"game_data": {
"answer": "A,B",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 5,
"language": "en",
"num_options": 4,
"seed": 83013708,
"true_count": 2
},
"question": "Examine these expressions:\n\nA. ((((((1 ** 1) < (13 - 10) < (-4 - 20)) and ((4 *... |
logic-v2 | 给定以下布尔表达式：
A. ((((氧气对人类生存是必需的。) or ((2 * -8) < (14 * -13))) and ((not not (金星是距离太阳第2近的行星。)) or (光速比声速快。))) or ((((蝙蝠是瞎的。) or (1984年奥运会在东京举办。)) or ((4 ** 1) >= (-7 * 0 - 3 * 10))) and (not not ((-14 * 14) == (9 + -2))))) or (not (((18 - 17) < (10 % 10) < (-14 - 17)) or (not not (((14 + -5) > (-20 + -16)) or ((13 % 10) ... | {
"game_data": {
"answer": "A,B,C",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 5,
"language": "cn",
"num_options": 3,
"seed": 50066111,
"true_count": 3
},
"question": "给定以下布尔表达式：\n\nA. ((((氧气对人类生存是必需的。) or ((2 * -8) < (14 * -13))) and ((not not (金... |
logic-v2 | 研究以下逻辑语句：
A. (not ((三月有31天。) or (太阳绕地球运转。))) or (((33 % 10) < (-18 + 5)) and (土星是距离太阳第7近的行星。)) or (((-11 * -16) < (4 ** 2) < (6 - 20)) or (木星是距离太阳第6近的行星。))
B. not not (((第一部iPhone发布发生在2002年。) and ((44 % 9) > (-2 - 3))) and ((金星是距离太阳第7近的行星。) and (智利的首都是圣地亚哥。)))
C. not not ((((-7 * 10 * 2 * -7) < (20 % 9)) or (现代奥运会首届举办... | {
"game_data": {
"answer": "C",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 3,
"language": "cn",
"num_options": 3,
"seed": 17576335,
"true_count": 1
},
"question": "研究以下逻辑语句：\n\nA. (not ((三月有31天。) or (太阳绕地球运转。))) or (((33 % 10) < (-18 + 5)) and (土星... |
logic-v2 | 给定以下布尔表达式：
A. not not (((not (((铀的化学符号是Na。) or (367是完全平方数。)) and ((19 * 20) >= (-14 - 15)))) and (not not ((二月有28天。) or (火烈鸟是鸟类。)))) and (((not (火星是距离太阳第4近的行星。)) and ((锰的化学符号是Mn。) and (氯的化学符号是Ti。)) and ((-8 + 1) < (2 + -9))) or (not not ((-13 * -11) < (18 + 16)))))
B. not not (((((((-13 - -14) != (2 ** 2)) or (1912年奥运... | {
"game_data": {
"answer": "D,E",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 6,
"language": "cn",
"num_options": 6,
"seed": 19022392,
"true_count": 2
},
"question": "给定以下布尔表达式：\n\nA. not not (((not (((铀的化学符号是Na。) or (367是完全平方数。)) and ((19 * 20) >=... |
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 (南非的货币是兰特。)))
B. (((((-15 * -8) < (31 % 4) < (-9 * -18)) or ((1 * -20) != (-6 + -20))) or (not not ((36 % 5) <= (10 + 10) <= (-7 + 19)))) and ((2079年是闰年。) or ((莱特兄弟首次飞行发生在1903年。) and ((17 * 7) >= (3 ** 2))))) or (((17 * -12) != (-4 + 13)) or (((42能被7整除。) or (美国的货币是美元。... | {
"game_data": {
"answer": "A,B",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 4,
"language": "cn",
"num_options": 3,
"seed": 78936916,
"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. not not (not not (not not (南非的货币是兰特。)))\nB. (((((-15 ... |
logic-v2 | 分析以下逻辑表达式：
A. not not ((not (((not not ((19 * -9) != (13 + -13))) or ((钛的化学符号是Ti。) and ((1 ** 2) < (0 - -14)))) and ((鲱鱼是哺乳动物。) or (not ((6 * 12) > (9 - 12)))))) or (not not (((not not ((-13 + 1) < (1 - 0) < (26 % 9))) and (not (木头在常温下是固体。))) or ((((7 % 3) == (-16 * 8)) and (鱼有0条腿。)) and (not not (硅的化学符号是P。))))))
B. n... | {
"game_data": {
"answer": "A,B,C,D",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 6,
"language": "cn",
"num_options": 4,
"seed": 13889512,
"true_count": 4
},
"question": "分析以下逻辑表达式：\n\nA. not not ((not (((not not ((19 * -9) != (13 + -13))) or ((钛的化... |
logic-v2 | Evaluate each expression below:
A. ((Sound travels faster in a vacuum.) or (not (Mars is the closest planet to the Sun.))) and (not (((968 is a Fibonacci number.) or (The currency of Vietnam is the Naira.)) or (not not (The Moon orbits the Earth.))))
B. (not (not not (Penguins can fly.))) or (not not (not ((-2 * 0) ==... | {
"game_data": {
"answer": "B,C,D,E,F,G",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 4,
"language": "en",
"num_options": 8,
"seed": 89848232,
"true_count": 6
},
"question": "Evaluate each expression below:\n\nA. ((Sound travels faster in a vacuum.... |
logic-v2 | 给定以下布尔表达式：
A. (((not not (埃及位于非洲。)) or ((((-16 - 16) != (-19 - 16)) and ((-1 - 1) == (-10 * -2 * 6 * 2))) and ((96是奇数。) or (木头在常温下是固体。)))) and ((1984年奥运会在洛杉矶举办。) or ((-4 - 19) != (4 + -14)))) or ((((-1 * 2 * -9 * -9) > (7 % 9)) and (not not (not not (磷的化学符号是P。)))) or (((-19 * 15) >= (-7 + 15)) or (((-19 + -4) > (3 * 9... | {
"game_data": {
"answer": "A,B,C,E",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 5,
"language": "cn",
"num_options": 7,
"seed": 91951822,
"true_count": 4
},
"question": "给定以下布尔表达式：\n\nA. (((not not (埃及位于非洲。)) or ((((-16 - 16) != (-19 - 16)) and ((... |
logic-v2 | Here are some boolean expressions to evaluate:
A. not not ((South Korea is in Asia.) or (not not (((38 % 9) == (-10 * -3)) or (The 2012 Olympics were held in Stockholm.))))
B. not not ((not (((1 ** 2) <= (8 + 6)) or ((17 + 15) >= (5 ** 2)))) and ((The chemical symbol for Tin is Sn.) or (((7 + 17) == (8 * -6 * -4 * -7)... | {
"game_data": {
"answer": "A,F",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 4,
"language": "en",
"num_options": 7,
"seed": 30285260,
"true_count": 2
},
"question": "Here are some boolean expressions to evaluate:\n\nA. not not ((South Korea is in ... |
logic-v2 | Consider the following logical expressions:
A. (4 ** 2) > (1 * 4 + -4 * -6)
B. not not (Ice is less dense than liquid water.)
C. (3 ** 2) >= (16 + -10)
D. (not ((14 + -20) <= (6 % 6) <= (4 ** 1))) and (((-2 + 10) < (0 + 17)) or ((2 ** 2) <= (-4 + 4)))
E. not (The chemical symbol for Neon is Ne.)
F. (((11 - -10) <= (10... | {
"game_data": {
"answer": "B,C",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 2,
"language": "en",
"num_options": 6,
"seed": 80361268,
"true_count": 2
},
"question": "Consider the following logical expressions:\n\nA. (4 ** 2) > (1 * 4 + -4 * -6)\nB... |
logic-v2 | 检验这些表达式：
A. 伦敦大火发生在1665年。
B. (铁在常温下是固体。) or (硅的化学符号是Ca。)
C. (蝙蝠是瞎的。) and ((1992年奥运会在巴塞罗那举办。) and (钾的化学符号是Pt。))
D. (2064年是闰年。) and ((八月有29天。) and (越南位于亚洲。))
哪些是真的？在 \boxed{} 中列出所有为真选项的标识，用逗号分隔。 | {
"game_data": {
"answer": "B",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 2,
"language": "cn",
"num_options": 4,
"seed": 56361174,
"true_count": 1
},
"question": "检验这些表达式：\n\nA. 伦敦大火发生在1665年。\nB. (铁在常温下是固体。) or (硅的化学符号是Ca。)\nC. (蝙蝠是瞎的。) and ((199... |
logic-v2 | 下面是几个布尔表达式：
A. not ((九月有28天。) and ((1 ** 1) < (-9 * -3 + -7 * 0)))
B. (not not (二氧化碳在常温下是固体。)) and ((5 ** 3) < (-5 + -20) < (-2 * 18))
C. not ((泰坦尼克号沉没发生在1912年。) and ((10 + -14) <= (10 * -10 - -6 * -1) <= (7 + 14)))
D. ((人类每只手有五个手指。) or (丹麦的货币是美元。)) and (not ((8 + 7) != (0 * 1 - -10 * 5)))
E. (-1 + -5) < (1 ** 3)
F. (... | {
"game_data": {
"answer": "A,C,E",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 2,
"language": "cn",
"num_options": 8,
"seed": 88385150,
"true_count": 3
},
"question": "下面是几个布尔表达式：\n\nA. not ((九月有28天。) and ((1 ** 1) < (-9 * -3 + -7 * 0)))\nB. (not ... |
logic-v2 | Consider the following logical expressions:
A. ((not ((-20 - -11) < (5 ** 2) < (-18 - -19))) or (not not ((3 ** 3) <= (-2 * -9))) or (not (The currency of Norway is the Krone.))) and (not ((not ((-8 - -6) < (1 ** 2) < (12 % 1))) or (not not (A lizard is a reptile.))))
B. not not (not (The currency of Thailand is the B... | {
"game_data": {
"answer": "C,D,E",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 4,
"language": "en",
"num_options": 5,
"seed": 21721810,
"true_count": 3
},
"question": "Consider the following logical expressions:\n\nA. ((not ((-20 - -11) < (5 ** 2)... |
logic-v2 | Consider the following logical expressions:
A. not ((-3 + 3) <= (11 % 10))
B. not not ((The capital of Greece is Prague.) and ((53 is a perfect square.) or ((-13 + -3) <= (-17 + 1) <= (2 ** 2))))
C. ((not ((4 * 8 - -3 * -10) <= (-10 - -3))) and ((The 1976 Olympics were held in Montreal.) and (Sound cannot travel throu... | {
"game_data": {
"answer": "C",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 3,
"language": "en",
"num_options": 3,
"seed": 37648118,
"true_count": 1
},
"question": "Consider the following logical expressions:\n\nA. not ((-3 + 3) <= (11 % 10))\nB. n... |
logic-v2 | Analyze these boolean expressions:
A. (not not (not ((((-1 - -6) <= (8 - 0) <= (-14 * -2)) or (A butterfly has 6 legs.)) or ((The currency of Nigeria is the Won.) or ((14 - -20) <= (12 - 11) <= (3 ** 3)))))) and (not (not not ((not (The currency of Philippines is the Peso.)) or ((19 - 19) <= (-6 * -2 * -3 * 8) <= (6 *... | {
"game_data": {
"answer": "C,E",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 5,
"language": "en",
"num_options": 5,
"seed": 62825358,
"true_count": 2
},
"question": "Analyze these boolean expressions:\n\nA. (not not (not ((((-1 - -6) <= (8 - 0) <=... |
logic-v2 | Review these logical expressions:
A. not not (287 is a Fibonacci number.)
B. not ((((1 ** 2) >= (16 - 7)) and (Water is a liquid at room temperature.)) and ((The chemical symbol for Nickel is Na.) and ((-19 + -3) < (15 * -6))))
C. (Chile is in South America.) or (not (not not (Spiders are insects.)))
D. (((The chemica... | {
"game_data": {
"answer": "B,C,D,F",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 3,
"language": "en",
"num_options": 7,
"seed": 45204784,
"true_count": 4
},
"question": "Review these logical expressions:\n\nA. not not (287 is a Fibonacci number.)\... |
logic-v2 | Here are some boolean expressions to evaluate:
A. not ((World War II began occurred in 1939.) or ((3 ** 1) < (-20 + 0)))
B. not ((not not (The currency of India is the Rupee.)) or ((-20 + -6) <= (4 * -1 + -4 * -10)) or (The chemical symbol for Calcium is Pt.))
C. not ((Argentina is in Antarctica.) and (not ((176 is an... | {
"game_data": {
"answer": "C,F,H",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 4,
"language": "en",
"num_options": 8,
"seed": 39364868,
"true_count": 3
},
"question": "Here are some boolean expressions to evaluate:\n\nA. not ((World War II began o... |
logic-v2 | 下面是几个布尔表达式：
A. ((not not (碳的化学符号是N。)) and ((((2016年奥运会在柏林举办。) or ((-6 - 5) < (-8 * -2 * -6 * -3))) or (((-7 * 19) <= (-10 * 7)) or (鸡有2条腿。))) and ((蛇是鸟类。) or ((20 + -13) == (15 - 12))) and (not not ((水在常温下是气体。) or (钻石由碳元素组成。))))) and ((((西班牙的首都是渥太华。) or (氯的化学符号是Pb。)) or ((罗马尼亚的首都是布鲁塞尔。) and (2024年奥运会在伦敦举办。))) or (((闪电... | {
"game_data": {
"answer": "B",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 5,
"language": "cn",
"num_options": 3,
"seed": 46464528,
"true_count": 1
},
"question": "下面是几个布尔表达式：\n\nA. ((not not (碳的化学符号是N。)) and ((((2016年奥运会在柏林举办。) or ((-6 - 5) < (-8... |
logic-v2 | Consider the following logical expressions:
A. not ((not not (not not (1997 is a leap year.))) and ((((11 + -18) <= (-19 - 19)) and ((There are 28 days in March.) and ((12 - -13) > (6 * -5 * 6 * -8)))) or ((not ((7 * 9 + -6 * -7) <= (3 ** 2))) and ((44 is less than or equal to 11.) or ((5 * 4) >= (-3 * 6 * -6 * 7)))))... | {
"game_data": {
"answer": "A",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 6,
"language": "en",
"num_options": 3,
"seed": 54939761,
"true_count": 1
},
"question": "Consider the following logical expressions:\n\nA. not ((not not (not not (1997 is a... |
logic-v2 | Evaluate each expression below:
A. (((-13 - -4) > (10 * -9 + 3 * 8)) or ((-3 * -3 + 9 * 0) > (4 ** 1))) or ((Gold is a solid at room temperature.) and (The currency of Brazil is the Ruble.))
B. not (A trout is a bird.)
C. ((The capital of Greece is Cairo.) or (The 2012 Olympics were held in London.)) and ((The currenc... | {
"game_data": {
"answer": "A,B,D,E",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 2,
"language": "en",
"num_options": 5,
"seed": 73240559,
"true_count": 4
},
"question": "Evaluate each expression below:\n\nA. (((-13 - -4) > (10 * -9 + 3 * 8)) or ((... |
logic-v2 | Evaluate each expression below:
A. The chemical symbol for Uranium is U.
B. (11 - 4) == (15 % 4)
C. not not (((3 + 16) < (2 ** 2)) and ((1 ** 1) >= (0 - -5)))
List all options that evaluate to True, separated by commas, in \boxed{}. | {
"game_data": {
"answer": "A",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 2,
"language": "en",
"num_options": 3,
"seed": 65904028,
"true_count": 1
},
"question": "Evaluate each expression below:\n\nA. The chemical symbol for Uranium is U.\nB. (11... |
logic-v2 | 下面是几个布尔表达式：
A. not (((新加坡的首都是新加坡。) and ((-3 - 10) <= (-4 * 4 - 2 * -3))) and ((太阳绕地球运转。) or (鲨鱼是哺乳动物。)))
B. (not not (摩洛哥位于非洲。)) and (not not ((声音无法在真空中传播。) or (老虎是鱼类。)))
C. (not not (not ((19 - -8) > (-9 * -7 + 8 * -7)))) and (((-1 * -6 + -9 * 5) <= (-3 * 18) <= (-5 * 15)) or (1976年奥运会在蒙特利尔举办。)) and ((((5 ** 2) <= (-... | {
"game_data": {
"answer": "A,B,E,F,H",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 3,
"language": "cn",
"num_options": 8,
"seed": 36458499,
"true_count": 5
},
"question": "下面是几个布尔表达式：\n\nA. not (((新加坡的首都是新加坡。) and ((-3 - 10) <= (-4 * 4 - 2 * -3)))... |
logic-v2 | Evaluate the following boolean expressions and select the ones that are true:
A. (3 ** 1) <= (-4 * -1 - 6 * 4)
B. 279 is a perfect square.
C. (-10 * 8 - 5 * -9) >= (-10 * -9 + -3 * 2)
D. A lion is a bird.
E. not not (not ((-2 - 7) != (-2 * 3 - 2 * 10)))
F. (Alcohol is a liquid at room temperature.) or ((The currency o... | {
"game_data": {
"answer": "F,G",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 2,
"language": "en",
"num_options": 7,
"seed": 41120638,
"true_count": 2
},
"question": "Evaluate the following boolean expressions and select the ones that are true:\n\n... |
logic-v2 | 考虑以下布尔表达式：
A. ((not (沙特阿拉伯的货币是里亚尔。)) and (not not ((六月有28天。) and (1952年奥运会在伦敦举办。))) and ((not (not ((-5 + 1) <= (-3 * -10 * -10 * 0)))) and (汞在常温下是液体。))) and (((((2 + 2) != (-20 - -18)) or ((-1 * -15) <= (-6 * -9 * -4 * -3) <= (42 % 1))) and (((11 % 10) != (1 ** 1)) or (木星是距离太阳第5近的行星。))) and ((not (2066年是闰年。)) or ((匈牙... | {
"game_data": {
"answer": "B",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 5,
"language": "cn",
"num_options": 3,
"seed": 7569579,
"true_count": 1
},
"question": "考虑以下布尔表达式：\n\nA. ((not (沙特阿拉伯的货币是里亚尔。)) and (not not ((六月有28天。) and (1952年奥运会在伦敦举办。)... |
logic-v2 | 下面是几个布尔表达式：
A. not (((92大于16。) or (93是质数。)) and (金星是距离太阳第2近的行星。))
B. (人类首次登月发生在1959年。) and ((7 - 16) == (-8 * -2 - 6 * 2))
C. not ((-15 + 15) != (4 ** 1))
D. not not (((11 + 10) > (-19 + 0)) and (not (人体有206块骨头。)))
E. ((27 % 3) >= (9 + 12)) or (not ((人类只使用了大脑的10%。) or (伦敦大火发生在1661年。)))
F. (((水星是距离太阳第1近的行星。) or ((2 * -... | {
"game_data": {
"answer": "E",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 3,
"language": "cn",
"num_options": 7,
"seed": 1503159,
"true_count": 1
},
"question": "下面是几个布尔表达式：\n\nA. not (((92大于16。) or (93是质数。)) and (金星是距离太阳第2近的行星。))\nB. (人类首次登月发生在1... |
logic-v2 | Study the following logical statements:
A. not not (((((3 * -7 - -6 * 6) != (23 % 7)) or ((not not (The Berlin Wall fell occurred in 1989.)) and ((Mexico is in North America.) and (Wood is a liquid at room temperature.)))) or (((((-8 + 16) != (3 ** 3)) and (The Earth revolves around the Sun.)) and (not (The 1992 Olymp... | {
"game_data": {
"answer": "B,D",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 6,
"language": "en",
"num_options": 5,
"seed": 24746500,
"true_count": 2
},
"question": "Study the following logical statements:\n\nA. not not (((((3 * -7 - -6 * 6) != (2... |
logic-v2 | Here are some boolean expressions to evaluate:
A. ((((The Pacific Ocean is the largest ocean.) or (Gold is a gas at room temperature.)) and ((-11 - 6) < (2 ** 3) < (7 % 1))) or (((-4 * -17) <= (-6 * -3 * -4 * -2)) and ((1 % 10) < (-1 - 3))) or ((5 ** 3) < (1 ** 3))) and (((-13 - -19) < (-7 + 1)) or (The currency of Si... | {
"game_data": {
"answer": "B",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 4,
"language": "en",
"num_options": 3,
"seed": 64864927,
"true_count": 1
},
"question": "Here are some boolean expressions to evaluate:\n\nA. ((((The Pacific Ocean is the l... |
logic-v2 | Below are several boolean expressions:
A. (0 * 4 + 0 * 5) <= (0 - 20)
B. not not (not not ((-5 + 17) <= (15 % 8)))
C. ((-18 * -16) < (-16 - 1)) or (The currency of Egypt is the Pound.)
D. There are 29 days in January.
E. (Water boils at 100 degrees Celsius at sea level.) and (2063 is a leap year.)
F. ((Electricity flo... | {
"game_data": {
"answer": "C",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 2,
"language": "en",
"num_options": 7,
"seed": 94813279,
"true_count": 1
},
"question": "Below are several boolean expressions:\n\nA. (0 * 4 + 0 * 5) <= (0 - 20)\nB. not no... |
logic-v2 | Study the following logical statements:
A. (not ((not (Earth is the 3rd planet from the Sun.)) or (((16 * -12) == (-11 - -15)) or (Venus is the 2nd planet from the Sun.)))) and (not ((-17 + -12) != (-4 - 3)))
B. A day on Earth is 24 hours.
C. ((Earth is the 3rd planet from the Sun.) and (Wood is a solid at room temper... | {
"game_data": {
"answer": "B",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 4,
"language": "en",
"num_options": 3,
"seed": 91410529,
"true_count": 1
},
"question": "Study the following logical statements:\n\nA. (not ((not (Earth is the 3rd planet f... |
logic-v2 | Evaluate the following boolean expressions and select the ones that are true:
A. (not not (not not (not not ((5 + -8) == (16 - -9))))) and (((not ((Bats are blind.) and (The currency of Saudi Arabia is the Riyal.))) or ((((40 % 10) >= (20 - -20)) or ((-13 * -2) <= (2 ** 3))) and ((The Titanic sank occurred in 1912.) o... | {
"game_data": {
"answer": "B,D",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 5,
"language": "en",
"num_options": 4,
"seed": 94014930,
"true_count": 2
},
"question": "Evaluate the following boolean expressions and select the ones that are true:\n\n... |
logic-v2 | 请评估以下布尔表达式，选择其中为真的选项：
A. (not not (((((第二次世界大战开始发生在1939年。) or (1928年奥运会在巴黎举办。)) and (金星是距离太阳第2近的行星。)) or (((9 * -5) != (2 * -9 + -8 * 2)) and (氖的化学符号是Ne。)) or (((氧气在常温下是液体。) or (现代奥运会首届举办发生在1895年。)) and (油在常温下是固体。))) or (not (((18 + -1) != (5 % 4)) or (((3 - 1) <= (-1 * -8)) or (声音在真空中传播更快。)))))) or ((not (not (not ((... | {
"game_data": {
"answer": "A,C,E,F",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 6,
"language": "cn",
"num_options": 6,
"seed": 11403366,
"true_count": 4
},
"question": "请评估以下布尔表达式，选择其中为真的选项：\n\nA. (not not (((((第二次世界大战开始发生在1939年。) or (1928年奥运会在巴黎... |
logic-v2 | Analyze these boolean expressions:
A. (-2 * -4 * 5 * -9) <= (3 + 15) <= (6 * -4 - -1 * 7)
B. (3 ** 2) == (-12 * -13)
C. (-15 - -9) == (12 - -9)
D. (Gold is a solid at room temperature.) and (((-8 + -14) < (-7 * -12)) and ((2 ** 1) != (2 * 7)))
E. (((-16 - -17) < (5 * -5 + -10 * -6)) or (A chameleon is a reptile.)) or ... | {
"game_data": {
"answer": "D,E,F",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 2,
"language": "en",
"num_options": 6,
"seed": 10572076,
"true_count": 3
},
"question": "Analyze these boolean expressions:\n\nA. (-2 * -4 * 5 * -9) <= (3 + 15) <= (6 *... |
logic-v2 | Review these logical expressions:
A. not (The square root of 121 is 11.)
B. (((-4 * 4 - -4 * 8) != (20 + 2)) and (not ((9 * 0) < (6 + -12) < (5 * 8 + -8 * -9)))) or ((((-6 + -2) >= (1 ** 2)) or ((-19 + 8) == (4 ** 2))) or (Mars is the 4th planet from the Sun.))
C. (((Saturn is the 1st planet from the Sun.) or (Venus i... | {
"game_data": {
"answer": "B,C",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 3,
"language": "en",
"num_options": 3,
"seed": 27941007,
"true_count": 2
},
"question": "Review these logical expressions:\n\nA. not (The square root of 121 is 11.)\nB. (... |
logic-v2 | 这里有一些需要评估的布尔表达式：
A. (((not (1914年是闰年。)) and (钻石由碳元素组成。)) and ((not not (人类每只手有五个手指。)) and (not not ((-11 - 1) != (-2 * -2 - -3 * 1))))) or ((15 - 20) <= (-6 - 1)) or (((1 ** 3) >= (-2 - 19)) and (not not (加拿大的货币是韩元。)) and ((((1 - -20) >= (-19 - 0)) or (2054年是闰年。)) or (not ((5 * 4 * -9 * -10) == (-20 * 19)))))
B. (not ... | {
"game_data": {
"answer": "A,F",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 4,
"language": "cn",
"num_options": 7,
"seed": 93991198,
"true_count": 2
},
"question": "这里有一些需要评估的布尔表达式：\n\nA. (((not (1914年是闰年。)) and (钻石由碳元素组成。)) and ((not not (人类每只手有... |
logic-v2 | 给定以下布尔表达式：
A. (((-11 + 8) > (19 + 0)) and ((-17 + -17) <= (-15 * 12))) and ((蜘蛛是昆虫。) and (金在常温下是固体。))
B. (((0 * 7 + -10 * -5) > (-8 - 2)) and ((13 * 10) <= (-2 * -3 - 3 * 4))) or ((以色列的货币是谢克尔。) or ((6 % 3) != (10 - -3)))
C. (not (菲律宾的首都是马尼拉。)) and (((13 % 8) < (-16 * 10) < (-17 - 18)) and ((21 % 7) < (9 + -11)))
D. ((... | {
"game_data": {
"answer": "B",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 2,
"language": "cn",
"num_options": 5,
"seed": 83252916,
"true_count": 1
},
"question": "给定以下布尔表达式：\n\nA. (((-11 + 8) > (19 + 0)) and ((-17 + -17) <= (-15 * 12))) and ((蜘蛛是... |
logic-v2 | Evaluate each expression below:
A. (((The capital of Peru is Seoul.) and (((12 % 5) <= (17 - -4)) and ((-20 * -2) == (-9 * 3 * -2 * 7)))) or (not ((The capital of Russia is Abuja.) and (57 is a prime number.)))) or ((-8 * 18) != (15 * 3)) or ((Saturn is the 1st planet from the Sun.) and (((Thailand is in Asia.) and (T... | {
"game_data": {
"answer": "A,C,D,G,H",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 4,
"language": "en",
"num_options": 8,
"seed": 87001603,
"true_count": 5
},
"question": "Evaluate each expression below:\n\nA. (((The capital of Peru is Seoul.) and... |
logic-v2 | Analyze these boolean expressions:
A. (((A duck has 2 legs.) or (Earth is the 2nd planet from the Sun.)) or ((Humans only use 10% of their brain.) and ((48 % 7) >= (8 * -9 - -10 * 0)))) or ((not not (not (((4 * 2 + -9 * -10) < (-14 - -11)) or ((-3 - -13) >= (-10 * 0))))) or (not not ((2 + -15) != (24 % 6))))
B. not (n... | {
"game_data": {
"answer": "A,D,E,G",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 5,
"language": "en",
"num_options": 7,
"seed": 12738778,
"true_count": 4
},
"question": "Analyze these boolean expressions:\n\nA. (((A duck has 2 legs.) or (Earth is ... |
logic-v2 | 审视以下逻辑表达式：
A. not not (((not not (not not ((20 * -20) > (-4 + 20)))) or ((not not (氯的化学符号是H。)) and (not not (氢的化学符号是H。)))) and ((光速约为每秒30万公里。) and (天王星是距离太阳第7近的行星。)))
B. ((((((21 % 3) < (-2 * -14) < (-1 * 8 - -6 * -2)) or ((5 ** 1) < (16 * -17) < (-13 - -7))) and ((98是质数。) and ((8 * -1 * 6 * 7) == (-16 - -2)))) or (((... | {
"game_data": {
"answer": "C",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 5,
"language": "cn",
"num_options": 3,
"seed": 54981559,
"true_count": 1
},
"question": "审视以下逻辑表达式：\n\nA. not not (((not not (not not ((20 * -20) > (-4 + 20)))) or ((not no... |
logic-v2 | 分析以下逻辑表达式：
A. ((not (太平洋是最大的海洋。)) or (((2008年奥运会在莫斯科举办。) or ((1914年是闰年。) or (钻石在常温下是固体。))) and (韩国位于亚洲。))) and (((((-2 + -16) >= (28 % 1)) or (中国位于亚洲。)) or (not not ((5 ** 2) > (4 ** 3)))) and (钠的化学符号是Na。) and ((8 + 11) <= (20 + -17))) and (((not ((-17 - 2) <= (13 + -5) <= (7 * 8 - 9 * -2))) and ((((-9 - 20) < (-15 * ... | {
"game_data": {
"answer": "B",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 5,
"language": "cn",
"num_options": 3,
"seed": 93664342,
"true_count": 1
},
"question": "分析以下逻辑表达式：\n\nA. ((not (太平洋是最大的海洋。)) or (((2008年奥运会在莫斯科举办。) or ((1914年是闰年。) or (钻石在... |
logic-v2 | Review these logical expressions:
A. (not ((1 ** 2) > (18 % 3))) or (not not ((((6 * 17) > (5 ** 2)) and (The currency of Japan is the Yen.)) or ((Venus is the 2nd planet from the Sun.) and ((-14 + -10) <= (15 - -20)))))
B. (((-18 * 7) == (4 ** 3)) and ((A lizard is a reptile.) or ((47 % 5) <= (37 % 10))) and (((The 1... | {
"game_data": {
"answer": "A,B,C,D",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 4,
"language": "en",
"num_options": 4,
"seed": 35725992,
"true_count": 4
},
"question": "Review these logical expressions:\n\nA. (not ((1 ** 2) > (18 % 3))) or (not n... |
logic-v2 | Analyze these boolean expressions:
A. ((not ((1 ** 1) <= (-18 * 12))) and ((The 1980 Olympics were held in Moscow.) or (Uranus is the 5th planet from the Sun.))) or (not not ((The Titanic sank occurred in 1912.) or ((19 - 7) >= (-15 - -18))))
B. not not ((((-13 + 16) >= (22 % 8)) or (Sharks are mammals.)) and ((Brazil... | {
"game_data": {
"answer": "A,C,E",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 3,
"language": "en",
"num_options": 5,
"seed": 61484938,
"true_count": 3
},
"question": "Analyze these boolean expressions:\n\nA. ((not ((1 ** 1) <= (-18 * 12))) and ((... |
logic-v2 | 这里有一些需要评估的布尔表达式：
A. (((((天王星是距离太阳第7近的行星。) and (马有4条腿。)) and (not not ((8 * 6 * -2 * 4) <= (-17 + -5)))) and (not ((33小于等于98。) or (九月有31天。)))) and (((78是质数。) and (钙的化学符号是Ca。)) or (not (((0 * 7 + -9 * 3) >= (10 * 9 + -4 * 0)) or ((14 * 0) <= (2 + -12)))))) or ((not not (莱特兄弟首次飞行发生在1903年。)) or ((not not (墨西哥的首都是墨西哥城。)) o... | {
"game_data": {
"answer": "A,C",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 5,
"language": "cn",
"num_options": 8,
"seed": 51473442,
"true_count": 2
},
"question": "这里有一些需要评估的布尔表达式：\n\nA. (((((天王星是距离太阳第7近的行星。) and (马有4条腿。)) and (not not ((8 * 6 *... |
logic-v2 | Evaluate each expression below:
A. not not (The capital of Nigeria is Abuja.)
B. not not ((-4 * 4 * 3 * -8) == (1 - 15))
C. not not ((((1 ** 3) <= (-2 - 10)) or ((-9 * 2 * -5 * 5) < (8 - 20))) or ((50 % 4) > (16 - -11)))
D. (Venus is the 2nd planet from the Sun.) or (((-11 + -16) < (1 * 1 + 5 * -10)) and (Iron is a so... | {
"game_data": {
"answer": "A,D,G",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 3,
"language": "en",
"num_options": 8,
"seed": 75732792,
"true_count": 3
},
"question": "Evaluate each expression below:\n\nA. not not (The capital of Nigeria is Abuja.... |
logic-v2 | 审视以下逻辑表达式：
A. 印度位于亚洲。
B. ((鲨鱼是哺乳动物。) or ((-8 * 6 - 10 * -3) <= (24 % 1))) and (((5 ** 2) >= (11 + -10)) and (九月有30天。))
C. ((2012年奥运会在伦敦举办。) or ((21 % 3) != (-10 - 16))) or (硫的化学符号是S。)
D. (2 ** 3) >= (14 - 15)
E. (((20 - -17) < (9 * -16)) and (氦的化学符号是He。)) and (not (水在海平面上的沸点是100摄氏度。))
F. ((瑞士的货币是瑞士法郎。) and (钙的化学符号是Ca。... | {
"game_data": {
"answer": "A,B,C,D,F,H",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 2,
"language": "cn",
"num_options": 8,
"seed": 72677668,
"true_count": 6
},
"question": "审视以下逻辑表达式：\n\nA. 印度位于亚洲。\nB. ((鲨鱼是哺乳动物。) or ((-8 * 6 - 10 * -3) <= (24 % ... |
logic-v2 | Evaluate the following boolean expressions and select the ones that are true:
A. not not (The currency of European Union is the Won.)
B. ((4 ** 3) > (8 + -15)) or (The chemical symbol for Calcium is Mg.)
C. not (not not ((-4 + 9) <= (20 - 7)))
D. not not ((not not (23 is divisible by 4.)) and (not not ((-5 - 5) > (-4 ... | {
"game_data": {
"answer": "B",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 3,
"language": "en",
"num_options": 4,
"seed": 34549598,
"true_count": 1
},
"question": "Evaluate the following boolean expressions and select the ones that are true:\n\nA.... |
logic-v2 | 审视以下逻辑表达式：
A. not ((南非位于非洲。) or ((8 - 6) <= (2 * 9 - 0 * 2)))
B. (((((1 + 16) != (-5 * 7 - -4 * -2)) and (法国大革命开始发生在1791年。)) or ((南非的货币是兰特。) or ((7 + 8) > (10 * -2 + 9 * -2)))) and (((2078年是闰年。) and ((-17 * 8) == (12 + 1))) and (((9 + -5) <= (-4 * -3 * -5 * 9)) or (短吻鳄是爬行动物。)))) and ((not ((17 - 9) == (0 * -1 * 2 * 3)... | {
"game_data": {
"answer": "C",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 4,
"language": "cn",
"num_options": 3,
"seed": 31848738,
"true_count": 1
},
"question": "审视以下逻辑表达式：\n\nA. not ((南非位于非洲。) or ((8 - 6) <= (2 * 9 - 0 * 2)))\nB. (((((1 + 16) !... |
logic-v2 | Here are some boolean expressions to evaluate:
A. The 1900 Olympics were held in Paris.
B. ((-5 * 0) <= (-18 + 13) <= (4 ** 1)) or (((26 % 7) <= (-12 * 16) <= (6 * 2 * 0 * 3)) and ((16 - -9) <= (19 * 17)))
C. not not (not not ((-7 + -10) >= (49 % 1)))
Find all expressions that are True. Answer in \boxed{} with labels... | {
"game_data": {
"answer": "A",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 2,
"language": "en",
"num_options": 3,
"seed": 17843499,
"true_count": 1
},
"question": "Here are some boolean expressions to evaluate:\n\nA. The 1900 Olympics were held in... |
logic-v2 | 评估以下每个表达式：
A. ((2 ** 3) < (-4 - -13) < (10 * -10)) or (not not (1964年奥运会在墨西哥城举办。))
B. (苏联解体发生在1991年。) and (((-4 * 9) >= (-20 - -8)) and ((13 * 9) < (12 - 5))) and ((10 + -13) < (-11 * -7) < (-17 + 2))
C. not (not (not (1952年奥运会在东京举办。)))
D. not not (not (((14 * 12) <= (1 ** 1)) and (海王星是距离太阳第4近的行星。)))
列出所有值为 True 的选项，... | {
"game_data": {
"answer": "C,D",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 3,
"language": "cn",
"num_options": 4,
"seed": 97831697,
"true_count": 2
},
"question": "评估以下每个表达式：\n\nA. ((2 ** 3) < (-4 - -13) < (10 * -10)) or (not not (1964年奥运会在墨西哥城举... |
logic-v2 | 检验这些表达式：
A. (((11 * 7) <= (-3 * 19) <= (16 - 7)) and (金鱼是鱼类。)) and ((2 ** 3) >= (-1 * 6 - -2 * 3))
B. ((1984年奥运会在阿姆斯特丹举办。) or ((19 * -11) != (-12 + -2))) and ((澳大利亚位于非洲。) and (企鹅能飞翔。))
C. 哥伦布到达美洲发生在1493年。
D. not not (加拿大的货币是加元。)
E. (2 % 8) != (19 % 3)
F. ((1984年奥运会在洛杉矶举办。) or ((-8 + 2) == (-6 * -15))) and (((-16 + 10)... | {
"game_data": {
"answer": "D,E,F",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 2,
"language": "cn",
"num_options": 6,
"seed": 63832316,
"true_count": 3
},
"question": "检验这些表达式：\n\nA. (((11 * 7) <= (-3 * 19) <= (16 - 7)) and (金鱼是鱼类。)) and ((2 ** 3)... |
logic-v2 | 下面是几个布尔表达式：
A. not not (not not (not (((not not ((7 - -2) == (4 ** 2))) or (not (77能被3整除。))) or ((16 * 13) >= (-7 * -19)))))
B. not ((((not not ((12 - -10) > (42 % 10))) or (铁在常温下是固体。)) or ((not (((2 ** 1) != (-7 - -20)) or ((13 * 7) != (19 + 14)))) and ((not not (人类有0条腿。)) and ((5 * 5 * 9 * -9) != (1 ** 3))))) and ((... | {
"game_data": {
"answer": "D,G",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 6,
"language": "cn",
"num_options": 7,
"seed": 16574678,
"true_count": 2
},
"question": "下面是几个布尔表达式：\n\nA. not not (not not (not (((not not ((7 - -2) == (4 ** 2))) or (no... |
logic-v2 | Study the following logical statements:
A. (2 - -18) <= (8 - 19)
B. The Earth revolves around the Sun.
C. ((2021 is a leap year.) and (A parrot is a bird.)) and ((A frog has 4 legs.) and (Venus is the 2nd planet from the Sun.))
Which statements are true? Put all true option labels in \boxed{}, separated by commas. | {
"game_data": {
"answer": "B",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 2,
"language": "en",
"num_options": 3,
"seed": 79244253,
"true_count": 1
},
"question": "Study the following logical statements:\n\nA. (2 - -18) <= (8 - 19)\nB. The Earth r... |
logic-v2 | Evaluate each expression below:
A. (((20 % 3) == (-5 + 11)) or (((2089 is a leap year.) and ((13 * -12) >= (-12 * 17))) and ((The 1956 Olympics were held in Melbourne.) and (Helium is a gas at room temperature.)))) and (not (not not (A iguana is a bird.)))
B. ((Brazil is in Africa.) or ((-6 * 7 + 6 * -5) <= (-15 - -7)... | {
"game_data": {
"answer": "B,D,E,G",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 4,
"language": "en",
"num_options": 8,
"seed": 40420456,
"true_count": 4
},
"question": "Evaluate each expression below:\n\nA. (((20 % 3) == (-5 + 11)) or (((2089 is ... |
logic-v2 | 给定以下布尔表达式：
A. ((((1 * -10 * -10 * -9) <= (7 - -8)) or ((29 % 9) < (5 + -13) < (-12 + -10))) or (not (not not (((-13 + 8) <= (2 * 10)) and (铬的化学符号是H。))))) or (not not (((((-13 - -5) >= (0 - 17)) and (地球是距离太阳第3近的行星。)) or (((-7 + -2) <= (8 * -10 + 8 * 2) <= (-7 * 2 * 6 * -8)) and ((-5 * -9 - 0 * 6) > (2 ** 1)))) or ((美国位... | {
"game_data": {
"answer": "A,C",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 5,
"language": "cn",
"num_options": 3,
"seed": 64096560,
"true_count": 2
},
"question": "给定以下布尔表达式：\n\nA. ((((1 * -10 * -10 * -9) <= (7 - -8)) or ((29 % 9) < (5 + -13) < ... |
logic-v2 | 研究以下逻辑语句：
A. not (not not (((not not (火星是距离太阳第4近的行星。)) or (not not ((37 % 5) == (39 % 5)))) and (((36 % 9) != (6 * -12)) or (not not (日本的货币是谢克尔。)))))
B. (not (not not (((16 * -11) <= (14 * -5)) and (中国位于亚洲。)))) or (not not ((((人类有三个肺。) or (埃及的货币是埃及镑。)) or (not not (猫头鹰是鸟类。))) and ((not not (美国的货币是美元。)) or ((瑞士的首都是伯尔尼。... | {
"game_data": {
"answer": "B,C,D",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 5,
"language": "cn",
"num_options": 6,
"seed": 5124451,
"true_count": 3
},
"question": "研究以下逻辑语句：\n\nA. not (not not (((not not (火星是距离太阳第4近的行星。)) or (not not ((37 % 5) ... |
logic-v2 | Analyze these boolean expressions:
A. not (not (not not ((A lizard is a bird.) or (The capital of Norway is Amsterdam.))))
B. not ((not not ((not not ((Mercury is the 1st planet from the Sun.) and ((13 - 12) < (1 ** 3)))) and ((not ((20 % 3) <= (17 + 12))) or ((The capital of Saudi Arabia is Riyadh.) and (Humans have ... | {
"game_data": {
"answer": "B",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 6,
"language": "en",
"num_options": 3,
"seed": 23757170,
"true_count": 1
},
"question": "Analyze these boolean expressions:\n\nA. not (not (not not ((A lizard is a bird.) o... |
logic-v2 | Evaluate each expression below:
A. ((Mars is the 5th planet from the Sun.) and (not (((8 * -16) != (-14 - 18)) and (The chemical symbol for Phosphorus is Pt.)))) and (There are 30 days in September.) and ((not not ((The currency of Argentina is the Peso.) and ((20 * -8) == (1 - -19)))) or (not not ((There are 31 days ... | {
"game_data": {
"answer": "B,C,D,E,H",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 4,
"language": "en",
"num_options": 8,
"seed": 12641743,
"true_count": 5
},
"question": "Evaluate each expression below:\n\nA. ((Mars is the 5th planet from the Sun... |
logic-v2 | Analyze these boolean expressions:
A. (-4 * 8) <= (-17 * -4) <= (-19 - -11)
B. ((12 + -12) > (2 ** 3)) or (not (Air is a gas at room temperature.))
C. not not (not ((-15 - -2) >= (10 * 1 * -4 * -3)))
Which of these evaluate to True? Provide all true option labels separated by commas in \boxed{}. | {
"game_data": {
"answer": "C",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 2,
"language": "en",
"num_options": 3,
"seed": 57283532,
"true_count": 1
},
"question": "Analyze these boolean expressions:\n\nA. (-4 * 8) <= (-17 * -4) <= (-19 - -11)\nB. ... |
Subsets and Splits
No community queries yet
The top public SQL queries from the community will appear here once available.