env stringclasses 1
value | prompt stringlengths 85 3.69k | extra dict |
|---|---|---|
logic-v2 | Study the following logical statements:
A. not ((13 is a prime number.) or ((((1 ** 1) <= (20 - -3)) and (Wood is a solid at room temperature.)) or (((2 % 2) < (2 ** 3)) and (Oxygen is a gas at room temperature.))))
B. (((not not ((5 - -3) >= (9 + 18))) or ((13 - 6) < (-16 - -13) < (10 * -1 - 10 * -8))) and ((-5 + 20)... | {
"game_data": {
"answer": "B,D,F",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 4,
"language": "en",
"num_options": 6,
"seed": 65006855,
"true_count": 3
},
"question": "Study the following logical statements:\n\nA. not ((13 is a prime number.) or (... |
logic-v2 | Examine these expressions:
A. (not (not ((not not ((17 + -1) <= (20 * 17))) and ((Mercury is the 7th planet from the Sun.) or ((-16 - 5) >= (-15 * 14)))))) or (((not not ((The Berlin Wall fell occurred in 1989.) and ((1 * -8) < (-7 * 10 * -1 * -8)))) or ((6 - 12) > (6 * -2))) and (((((17 + -14) == (12 - 19)) or (The 1... | {
"game_data": {
"answer": "A,B",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 5,
"language": "en",
"num_options": 3,
"seed": 52861321,
"true_count": 2
},
"question": "Examine these expressions:\n\nA. (not (not ((not not ((17 + -1) <= (20 * 17))) an... |
logic-v2 | Evaluate each expression below:
A. 2071 is a leap year.
B. ((The 1920 Olympics were held in Los Angeles.) or (Sharks are mammals.)) and ((The currency of South Korea is the Dong.) and (The Pacific Ocean is the largest ocean.))
C. (((13 * -20) < (25 % 8) < (26 % 6)) or (The currency of Philippines is the Dollar.)) or (... | {
"game_data": {
"answer": "C,D",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 2,
"language": "en",
"num_options": 4,
"seed": 2650019,
"true_count": 2
},
"question": "Evaluate each expression below:\n\nA. 2071 is a leap year.\nB. ((The 1920 Olympics... |
logic-v2 | Evaluate each expression below:
A. The chemical symbol for Gold is Au.
B. The Moon produces its own light.
C. Gold is a solid at room temperature.
D. not (not not ((-4 * 5 - -5 * 10) != (0 * 4 - -2 * -5)))
List all options that evaluate to True, separated by commas, in \boxed{}. | {
"game_data": {
"answer": "A,C",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 2,
"language": "en",
"num_options": 4,
"seed": 45827961,
"true_count": 2
},
"question": "Evaluate each expression below:\n\nA. The chemical symbol for Gold is Au.\nB. The... |
logic-v2 | 审视以下逻辑表达式：
A. (not ((((-6 * -20) != (-8 * 6 - -4 * 3)) and ((14 + 9) <= (14 * -5) <= (-3 * 19))) and (((3 ** 3) < (17 % 2) < (-10 * -4 - 2 * -4)) and (水在海平面上的沸点是100摄氏度。)))) or (((2024年奥运会在巴黎举办。) and (意大利位于南美洲。)) and ((183是斐波那契数。) and ((-6 * -9) < (4 % 6)))) or (not not ((not not ((10 * -12) <= (16 + 20))) or (澳大利亚位于大洋... | {
"game_data": {
"answer": "A,B,D",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 4,
"language": "cn",
"num_options": 5,
"seed": 33829633,
"true_count": 3
},
"question": "审视以下逻辑表达式：\n\nA. (not ((((-6 * -20) != (-8 * 6 - -4 * 3)) and ((14 + 9) <= (14 ... |
logic-v2 | 分析以下逻辑表达式：
A. (((not not (((21 % 5) <= (15 - -16)) or (6是偶数。))) and ((18 % 5) != (-6 - -2))) and (((not not (变色龙是爬行动物。)) or ((鳕鱼是爬行动物。) and ((-10 * 15) != (-4 * 17)))) or ((-7 - 17) > (8 * 3 + 8 * 1)))) or (not not ((not not ((加拿大的首都是华沙。) or (铜在常温下是固体。))) and (not not (not ((-4 - -7) >= (7 + -14))))))
B. not not (not ... | {
"game_data": {
"answer": "A,B",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 5,
"language": "cn",
"num_options": 3,
"seed": 25560855,
"true_count": 2
},
"question": "分析以下逻辑表达式：\n\nA. (((not not (((21 % 5) <= (15 - -16)) or (6是偶数。))) and ((18 % 5) ... |
logic-v2 | Below are several boolean expressions:
A. (not ((((-14 + -1) >= (-4 * 4 * 7 * 2)) or ((-14 * -2) <= (1 + -7))) and (The currency of Canada is the Dollar.))) or (((13 + 17) >= (1 ** 3)) and ((The capital of New Zealand is Kuala Lumpur.) and ((6 * -12) < (2 ** 3))) and ((not ((4 ** 3) < (-16 * -18) < (-15 + 19))) and (n... | {
"game_data": {
"answer": "C",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 4,
"language": "en",
"num_options": 3,
"seed": 25059280,
"true_count": 1
},
"question": "Below are several boolean expressions:\n\nA. (not ((((-14 + -1) >= (-4 * 4 * 7 * 2)... |
logic-v2 | 给定以下布尔表达式：
A. (((not not ((-7 - -18) != (11 + 18))) and ((二氧化碳在常温下是气体。) or ((4 * 2 + 7 * 10) > (-5 * -7 + 8 * 8)))) and (((3 % 5) > (4 + 14)) or (冰在常温下是液体。))) or (not not (((1952年奥运会在赫尔辛基举办。) or (2020年奥运会在东京举办。)) or ((5 ** 2) < (-17 + -3) < (-6 - -18))))
B. (not (not not ((-2 + 7) < (15 + 5)))) or (((-1 * -17) < (1 * ... | {
"game_data": {
"answer": "A,B,C,D,E,F,G",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 4,
"language": "cn",
"num_options": 7,
"seed": 63581855,
"true_count": 7
},
"question": "给定以下布尔表达式：\n\nA. (((not not ((-7 - -18) != (11 + 18))) and ((二氧化碳在常温下是气... |
logic-v2 | Study the following logical statements:
A. The Pacific Ocean is the largest ocean.
B. (not (((The currency of Sweden is the Krona.) and (The capital of Belgium is Amsterdam.)) or (not ((-14 * -20) <= (14 % 8))))) and (not (not not ((France is in North America.) and (New Zealand is in Oceania.))))
C. ((not ((The square... | {
"game_data": {
"answer": "A",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 4,
"language": "en",
"num_options": 3,
"seed": 31207347,
"true_count": 1
},
"question": "Study the following logical statements:\n\nA. The Pacific Ocean is the largest ocea... |
logic-v2 | 这里有一些需要评估的布尔表达式：
A. (((((-7 * 5 - 3 * 8) > (-3 * -4 * -9 * 10)) and (六月有30天。)) or ((铀的化学符号是U。) and (水星是距离太阳第1近的行星。))) or (not (七月有31天。))) and ((not (((-6 * 11) < (19 + -16) < (7 * -9 - 4 * 1)) and (猫有4条腿。))) or ((爱尔兰的首都是都柏林。) and (not not ((4 ** 2) == (-12 + -3)))))
B. not not ((not not (not ((14 * 20) < (9 * 7 - -2 *... | {
"game_data": {
"answer": "A,C,E",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 4,
"language": "cn",
"num_options": 6,
"seed": 69938076,
"true_count": 3
},
"question": "这里有一些需要评估的布尔表达式：\n\nA. (((((-7 * 5 - 3 * 8) > (-3 * -4 * -9 * 10)) and (六月有30天。... |
logic-v2 | Evaluate the following boolean expressions and select the ones that are true:
A. (((not (The chemical symbol for Mercury is Hg.)) and ((2085 is a leap year.) or ((-9 * -10 - 9 * 8) != (19 % 8)))) and (not (not not (The Moon orbits the Earth.)))) and ((not ((The capital of Germany is Brussels.) and ((-6 - -8) <= (4 * 1... | {
"game_data": {
"answer": "E",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 4,
"language": "en",
"num_options": 6,
"seed": 71659814,
"true_count": 1
},
"question": "Evaluate the following boolean expressions and select the ones that are true:\n\nA.... |
logic-v2 | Below are several boolean expressions:
A. (not not (((0 * 3 * -10 * 0) <= (-14 * 15)) and ((not not (188 is an even number.)) and (((-18 * 13) <= (9 * 11)) or (Earth is the 3rd planet from the Sun.))))) and ((not not (not ((14 % 1) != (0 * 18)))) and ((A human is a reptile.) or (The first airplane flight by the Wright... | {
"game_data": {
"answer": "B,G,H",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 5,
"language": "en",
"num_options": 8,
"seed": 50809939,
"true_count": 3
},
"question": "Below are several boolean expressions:\n\nA. (not not (((0 * 3 * -10 * 0) <= (-... |
logic-v2 | Given the following boolean expressions:
A. not not (not not ((((((-15 - 10) == (32 % 1)) or (The 1996 Olympics were held in Atlanta.)) and (not not (The capital of Norway is Oslo.))) or (((A iguana is a reptile.) or (Humans have five fingers on each hand.)) and ((18 - -16) < (-17 + 16)))) or (((((-7 * 7 + -7 * -3) <=... | {
"game_data": {
"answer": "A,D,H",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 6,
"language": "en",
"num_options": 8,
"seed": 33276120,
"true_count": 3
},
"question": "Given the following boolean expressions:\n\nA. not not (not not ((((((-15 - 10)... |
logic-v2 | Review these logical expressions:
A. not not ((14 - -12) >= (-17 - -17))
B. not not (((-5 + 18) == (0 * 10 * -7 * 5)) or (Neptune is the 8th planet from the Sun.))
C. ((A frog has 4 legs.) or ((40 % 7) > (0 * -3 * -6 * -4))) or ((The 1968 Olympics were held in Mexico City.) and ((3 ** 2) <= (1 * -8 + 5 * 1) <= (2 ** 1... | {
"game_data": {
"answer": "A,B,C",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 2,
"language": "en",
"num_options": 6,
"seed": 81040226,
"true_count": 3
},
"question": "Review these logical expressions:\n\nA. not not ((14 - -12) >= (-17 - -17))\nB.... |
logic-v2 | 研究以下逻辑语句：
A. not ((not (not not ((汞在常温下是液体。) and (波兰的货币是泰铢。)))) or ((((牛有8条腿。) and ((-6 - 7) >= (-3 * 7 - -7 * 8))) or (((南极洲是最冷的大陆。) or (氯的化学符号是C。)) and (俄罗斯的货币是福林。))) or ((not not ((10 + -11) > (8 + 10))) and ((-10 * 7) < (-5 - 16) < (2 - -7)))))
B. ((not ((not (not not (柏林墙倒塌发生在1984年。))) or (((3 ** 3) != (-7 * -2 +... | {
"game_data": {
"answer": "B,D,E",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 6,
"language": "cn",
"num_options": 5,
"seed": 3109364,
"true_count": 3
},
"question": "研究以下逻辑语句：\n\nA. not ((not (not not ((汞在常温下是液体。) and (波兰的货币是泰铢。)))) or ((((牛有8条腿。... |
logic-v2 | Below are several boolean expressions:
A. not not ((-3 * 15) < (9 + 17))
B. not not (not not ((A dog has 4 legs.) or ((5 * -2) < (16 + 20))))
C. ((((6 + 0) <= (4 * -1)) and (There are 29 days in September.)) or ((Humans have five fingers on each hand.) or ((-15 * 10) >= (-12 - 3)))) and (not (((17 - 17) != (0 * -10)) ... | {
"game_data": {
"answer": "A,B,C",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 3,
"language": "en",
"num_options": 7,
"seed": 58905276,
"true_count": 3
},
"question": "Below are several boolean expressions:\n\nA. not not ((-3 * 15) < (9 + 17))\nB.... |
logic-v2 | 给定以下布尔表达式：
A. 汞在常温下是液体。
B. (26 % 1) > (2 ** 1)
C. (21 % 3) < (6 + -10) < (3 ** 3)
D. ((-1 * -19) <= (2 ** 3) <= (4 ** 1)) and ((铜在常温下是液体。) or (氦气在常温下是气体。))
E. not (not (1995年是闰年。))
F. (not (荷兰的首都是内罗毕。)) or (not not (氧气在常温下是气体。))
G. ((氦的化学符号是He。) or ((5 * -8 + -1 * 6) < (4 + -1))) and (乌龟是哺乳动物。)
H. (太平洋是最大的海洋。) or (蝙蝠是... | {
"game_data": {
"answer": "A,F,H",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 2,
"language": "cn",
"num_options": 8,
"seed": 63881800,
"true_count": 3
},
"question": "给定以下布尔表达式：\n\nA. 汞在常温下是液体。\nB. (26 % 1) > (2 ** 1)\nC. (21 % 3) < (6 + -10) < (... |
logic-v2 | 考虑以下布尔表达式：
A. (not ((2082年是闰年。) or ((11 * -11) != (4 ** 1)))) or ((2039年是闰年。) and (九月有30天。)) or (not ((南极洲是最冷的大陆。) or (人类有三个肺。)))
B. ((not ((-13 * 13) == (-5 * -9 + -10 * -1))) or ((1 * 8 * 9 * 4) < (-7 - 5))) or (not not (氧的化学符号是Hg。))
C. (((1 - 3) >= (5 * -9 + 3 * -3)) or ((十一月有30天。) and ((-15 * 14) > (-9 * -4 * 5 * ... | {
"game_data": {
"answer": "B,C,H",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 3,
"language": "cn",
"num_options": 8,
"seed": 69948779,
"true_count": 3
},
"question": "考虑以下布尔表达式：\n\nA. (not ((2082年是闰年。) or ((11 * -11) != (4 ** 1)))) or ((2039年是闰年。... |
logic-v2 | Evaluate the following boolean expressions and select the ones that are true:
A. not (((not not ((Mars is the 2nd planet from the Sun.) and ((3 - 9) <= (8 * -2 * -2 * -1) <= (5 * -1 * -9 * 7)))) and (not (not not (The currency of European Union is the Euro.)))) and ((not ((Christopher Columbus reached America occurred... | {
"game_data": {
"answer": "A,B,C,D",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 6,
"language": "en",
"num_options": 4,
"seed": 32709747,
"true_count": 4
},
"question": "Evaluate the following boolean expressions and select the ones that are true:... |
logic-v2 | Analyze these boolean expressions:
A. not (not (((((4 * -2 - 5 * -9) > (-18 + -8)) or (((8 * 8 + -1 * 3) < (-12 + 6) < (-4 - 20)) or (Mercury is a liquid at room temperature.))) or (((Mercury is the 4th planet from the Sun.) or (Sound cannot travel through a vacuum.)) and (not ((-19 - 18) > (-20 + -9))))) and ((((-10 ... | {
"game_data": {
"answer": "B,D,F,G",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 6,
"language": "en",
"num_options": 7,
"seed": 45212529,
"true_count": 4
},
"question": "Analyze these boolean expressions:\n\nA. not (not (((((4 * -2 - 5 * -9) > (-1... |
logic-v2 | Examine these expressions:
A. not (not not (((not ((3 * -5 - -1 * 10) < (19 - -11) < (16 - -8))) or (Uranus is the 7th planet from the Sun.)) and ((17 * 6) < (-3 * -8 * -9 * 3)) and ((((The capital of Czech Republic is Beijing.) and (A lobster has 2 legs.)) or ((-9 * -4 + 7 * 5) > (-2 * 8 + 2 * 10))) or ((((2 - -19) !... | {
"game_data": {
"answer": "A,C,F",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 6,
"language": "en",
"num_options": 6,
"seed": 50840119,
"true_count": 3
},
"question": "Examine these expressions:\n\nA. not (not not (((not ((3 * -5 - -1 * 10) < (19 ... |
logic-v2 | Here are some boolean expressions to evaluate:
A. not (((not (((1 + 14) < (6 + 7)) or (((9 * 9 + 9 * -9) <= (-9 + 12) <= (5 + 3)) or ((6 % 2) == (18 - 6))))) or ((((1 * -2 * -8 * 4) == (17 % 2)) or (not (Copper is a gas at room temperature.))) or (There are 30 days in November.))) or ((((The 1988 Olympics were held in... | {
"game_data": {
"answer": "D,E,F",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 6,
"language": "en",
"num_options": 7,
"seed": 23252185,
"true_count": 3
},
"question": "Here are some boolean expressions to evaluate:\n\nA. not (((not (((1 + 14) < (6... |
logic-v2 | 分析以下逻辑表达式：
A. (not not (火星是距离太阳最近的行星。)) and ((not (鬣蜥是爬行动物。)) and ((木星是距离太阳第5近的行星。) and ((-14 - 19) <= (6 + -10)))) and ((not not ((木星是距离太阳第2近的行星。) and ((17 - -15) != (3 + 20)))) and (not not (((42 % 3) != (42 % 5)) or (汞的化学符号是Ni。))))
B. not (((not ((2 + -6) == (-10 * 9 - -7 * -9))) or ((5 ** 1) <= (19 % 2))) and (第二次... | {
"game_data": {
"answer": "B,C,E",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 4,
"language": "cn",
"num_options": 5,
"seed": 74794319,
"true_count": 3
},
"question": "分析以下逻辑表达式：\n\nA. (not not (火星是距离太阳最近的行星。)) and ((not (鬣蜥是爬行动物。)) and ((木星是距离太阳第... |
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 ((((14 - -18) != (8 * -2 * 10 * -1)) and ((瑞士的首都是伯尔尼。) and ((2 * 9) > (1 * -9 - 7 * -5)))) and ((8 % 1) != (2 * -10 - -8 * -2)) and (83是奇数。))))
B. not (((((菲律宾的货币是比索。) and ((四月有31天。) and (秘鲁位于南美洲。))) and ((委内瑞拉的首都是加拉加斯。) or ((新西兰的货币是里亚尔。) and ((13 * 12) >= (-19 - 7))))) or ((... | {
"game_data": {
"answer": "C,D",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 6,
"language": "cn",
"num_options": 7,
"seed": 2728350,
"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 ((((14 - -18) != (8 * -2 * 10 * -1))... |
logic-v2 | 请评估以下布尔表达式，选择其中为真的选项：
A. 人类每只手有五个手指。
B. not not ((not not (not ((莱特兄弟首次飞行发生在1902年。) or ((第二次世界大战开始发生在1939年。) or (冰在常温下是固体。))))) and (not not (not not (((-6 - 5) < (-1 - -1) < (-20 + 0)) and ((-8 + 12) >= (7 - -15))))) and ((not (鲨鱼是哺乳动物。)) or (((not (人体有150块骨头。)) and ((莱特兄弟首次飞行发生在1908年。) and ((-8 - 15) < (11 + 1) < (1... | {
"game_data": {
"answer": "A",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 6,
"language": "cn",
"num_options": 3,
"seed": 34101808,
"true_count": 1
},
"question": "请评估以下布尔表达式，选择其中为真的选项：\n\nA. 人类每只手有五个手指。\nB. not not ((not not (not ((莱特兄弟首次飞行发生在190... |
logic-v2 | Below are several boolean expressions:
A. ((not not (The capital of Belgium is Singapore.)) or (The chemical symbol for Sulfur is S.) or ((((4 * -5 * 6 * -6) >= (-2 * 4)) or (not not ((11 + -14) < (-4 * -5 + 6 * 2) < (6 * 5)))) or (((There are 28 days in February.) and ((16 * 8) <= (4 ** 3))) and (not (There are 28 da... | {
"game_data": {
"answer": "A,B,C,E",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 5,
"language": "en",
"num_options": 5,
"seed": 22516204,
"true_count": 4
},
"question": "Below are several boolean expressions:\n\nA. ((not not (The capital of Belgiu... |
logic-v2 | Below are several boolean expressions:
A. not not (not not ((not (The human body has 206 bones.)) or (not not (not not ((Gold is a gas at room temperature.) and (There are 30 days in October.))))))
B. not ((not not (((-7 * -14) >= (-17 + -14)) or (not ((There are 28 days in October.) or ((-6 * -6) >= (-2 - -8)))))) an... | {
"game_data": {
"answer": "B,D",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 6,
"language": "en",
"num_options": 4,
"seed": 46490691,
"true_count": 2
},
"question": "Below are several boolean expressions:\n\nA. not not (not not ((not (The human bo... |
logic-v2 | 下面是几个布尔表达式：
A. (not not (((not (((11 - 4) >= (15 % 2)) or (1976年奥运会在巴黎举办。))) or (以色列的货币是比索。)) and (not ((((8 + -13) == (-9 * 5 + 3 * 10)) and (1976年奥运会在巴黎举办。)) and (44是质数。))))) or (not (not not (((3 + 7) == (7 * -5 * 8 * -7)) or (not (1980年奥运会在柏林举办。)) or (not (莱特兄弟首次飞行发生在1905年。)))))
B. not not (((not (((-9 * -10 - 2 *... | {
"game_data": {
"answer": "C,D",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 6,
"language": "cn",
"num_options": 4,
"seed": 1399622,
"true_count": 2
},
"question": "下面是几个布尔表达式：\n\nA. (not not (((not (((11 - 4) >= (15 % 2)) or (1976年奥运会在巴黎举办。))) or... |
logic-v2 | Examine these expressions:
A. not not (not not ((((((-3 * 4 + -2 * 3) <= (-11 + 20)) or ((-6 * 0 - 10 * -2) < (23 % 4))) or (2022 is a leap year.)) and (((-4 - -4) < (-4 * 6 - -1 * 2)) or (China is in Asia.))) or (not (((The chemical symbol for Gold is Au.) and (Gold is a solid at room temperature.)) and (not not ((-1... | {
"game_data": {
"answer": "A,D,E",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 6,
"language": "en",
"num_options": 5,
"seed": 24402273,
"true_count": 3
},
"question": "Examine these expressions:\n\nA. not not (not not ((((((-3 * 4 + -2 * 3) <= (-1... |
logic-v2 | Here are some boolean expressions to evaluate:
A. ((((Russia is in North America.) and (not not ((20 * -14) <= (-1 * 3 * -4 * -9)))) and ((not not (The currency of Czech Republic is the Koruna.)) or ((4 ** 2) < (-5 * -9 * 4 * 6) < (3 + 11)))) and (not (not not (Diamonds are made of carbon.)))) and (((((17 + -2) != (12... | {
"game_data": {
"answer": "B,C,D,E,F,G",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 5,
"language": "en",
"num_options": 7,
"seed": 55447199,
"true_count": 6
},
"question": "Here are some boolean expressions to evaluate:\n\nA. ((((Russia is in Nor... |
logic-v2 | 这里有一些需要评估的布尔表达式：
A. (((肯尼亚的首都是巴黎。) and ((柏林墙倒塌发生在1989年。) and (海王星是距离太阳第3近的行星。))) and (not ((镁的化学符号是Ag。) and (澳大利亚的首都是堪培拉。)))) and (((not not ((-8 - 5) >= (-3 * 1 - 10 * -7))) or (not (闪电不会两次击中同一个地方。))) and ((-16 + -6) == (2 ** 1)))
B. ((((西班牙的首都是布达佩斯。) or (印度尼西亚的货币是卢比。)) or ((印度尼西亚的货币是越南盾。) or ((0 + 11) >= (-12 - -17)... | {
"game_data": {
"answer": "B",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 4,
"language": "cn",
"num_options": 4,
"seed": 85660953,
"true_count": 1
},
"question": "这里有一些需要评估的布尔表达式：\n\nA. (((肯尼亚的首都是巴黎。) and ((柏林墙倒塌发生在1989年。) and (海王星是距离太阳第3近的行星。)))... |
logic-v2 | Review these logical expressions:
A. ((((-8 * -3 - 1 * -4) >= (-15 * -16)) or (Diamonds are made of carbon.)) or (not not (34 is less than or equal to 93.))) or (not not ((-19 + 4) > (1 ** 2))) or ((((7 * -1 - 3 * -9) <= (1 - 6) <= (-6 + 13)) and (A pig has 10 legs.)) and (((1 ** 2) >= (-10 * 10 - -2 * 0)) or (The squ... | {
"game_data": {
"answer": "A,B,C,D,E",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 3,
"language": "en",
"num_options": 5,
"seed": 17103539,
"true_count": 5
},
"question": "Review these logical expressions:\n\nA. ((((-8 * -3 - 1 * -4) >= (-15 * -16... |
logic-v2 | 这里有一些需要评估的布尔表达式：
A. ((-9 * -7 + 3 * -6) < (17 * -11) < (-7 + -8)) or (莱特兄弟首次飞行发生在1903年。)
B. not (((45 % 8) == (-2 - 14)) or (((2 * -6) > (8 * -7 - 0 * 0)) and (钻石在常温下是固体。)))
C. ((((27 % 7) >= (-5 + -16)) and (46能被3整除。)) or (((-12 * -2) < (19 + -15)) and (2024年是闰年。))) or (匈牙利的货币是福林。) or ((-14 - 9) > (11 * 14))
D. (not ... | {
"game_data": {
"answer": "A,C,E",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 3,
"language": "cn",
"num_options": 5,
"seed": 65158164,
"true_count": 3
},
"question": "这里有一些需要评估的布尔表达式：\n\nA. ((-9 * -7 + 3 * -6) < (17 * -11) < (-7 + -8)) or (莱特兄弟首次... |
logic-v2 | 分析以下逻辑表达式：
A. not not ((not not ((日本的货币是日元。) and (1959年是闰年。))) or (not (not ((10 * -9 + 5 * 8) == (9 % 7)))))
B. not (not (not (((not not (人类首次登月发生在1969年。)) or (not not ((6 % 6) < (3 ** 2)))) or ((100的平方根是10。) or ((二氧化碳在常温下是气体。) or ((10 * 3 * 0 * 10) >= (5 * 14)))))))
C. 光速约为每秒30万公里。
D. not not (((not (not ((镁的化学符号是O。... | {
"game_data": {
"answer": "C",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 6,
"language": "cn",
"num_options": 4,
"seed": 37392862,
"true_count": 1
},
"question": "分析以下逻辑表达式：\n\nA. not not ((not not ((日本的货币是日元。) and (1959年是闰年。))) or (not (not ((10... |
logic-v2 | Examine these expressions:
A. (not not ((-7 - -10) < (23 % 9))) or ((not not (The French Revolution began occurred in 1789.)) and ((-13 * 0) < (3 * -11)))
B. (not ((((12 + 0) > (-2 * -1 + 8 * -3)) and ((-3 * -7 + -5 * 6) == (-9 * 11))) or (((-8 - -3) <= (-1 * 13) <= (18 * 20)) and ((-8 * 11) == (13 % 1))))) or (((3 % ... | {
"game_data": {
"answer": "A,B,D,E",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 4,
"language": "en",
"num_options": 7,
"seed": 12626718,
"true_count": 4
},
"question": "Examine these expressions:\n\nA. (not not ((-7 - -10) < (23 % 9))) or ((not n... |
logic-v2 | 给定以下布尔表达式：
A. (((664是斐波那契数。) and ((5 * -5 - 7 * -3) < (0 * 5 + -9 * 1)) and ((3 ** 2) < (6 * -2 * 2 * -9) < (2 + 19))) and (not not (((锡的化学符号是Cr。) and (氧气在常温下是气体。)) and (174是奇数。)))) or ((((not ((4 ** 3) != (0 - 6))) and (not (一月有31天。))) or (((日本的货币是日元。) or ((3 ** 1) < (-20 - -4))) or (美国的货币是人民币。))) or (((20 + -19) >= ... | {
"game_data": {
"answer": "A,B,C,D,E,F",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 5,
"language": "cn",
"num_options": 7,
"seed": 65823992,
"true_count": 6
},
"question": "给定以下布尔表达式：\n\nA. (((664是斐波那契数。) and ((5 * -5 - 7 * -3) < (0 * 5 + -9 * 1)... |
logic-v2 | Analyze these boolean expressions:
A. not ((11 * 17) >= (-3 * 2 + -6 * 10))
B. ((not not (The 2008 Olympics were held in Antwerp.)) or (The capital of New Zealand is Wellington.)) and (((The 1948 Olympics were held in Paris.) or ((-20 - 12) < (4 * 4 * -1 * -6) < (14 * 10))) and ((6 + 13) < (-13 - -8)))
C. not not ((((... | {
"game_data": {
"answer": "C,D",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 3,
"language": "en",
"num_options": 4,
"seed": 57152980,
"true_count": 2
},
"question": "Analyze these boolean expressions:\n\nA. not ((11 * 17) >= (-3 * 2 + -6 * 10))\nB... |
logic-v2 | 给定以下布尔表达式：
A. (((((-3 * -6 - 10 * 6) != (4 - 6)) or ((-14 - 17) == (-9 * -10 + 6 * 4))) or ((-10 * -3 - -10 * 0) <= (-19 * 19) <= (-3 * 0 - 10 * 8))) or (((智利位于非洲。) or (木星是距离太阳第2近的行星。)) and (((-3 * -8 + 3 * 3) < (-17 + 19)) or (韩国的货币是新加坡元。)))) or (not not ((人类首次登月发生在1970年。) or ((-20 * 19) < (8 - 20) < (4 + -5)))) or (... | {
"game_data": {
"answer": "A,B,E",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 4,
"language": "cn",
"num_options": 7,
"seed": 97318668,
"true_count": 3
},
"question": "给定以下布尔表达式：\n\nA. (((((-3 * -6 - 10 * 6) != (4 - 6)) or ((-14 - 17) == (-9 * -10... |
logic-v2 | Below are several boolean expressions:
A. not (Saturn is the 5th planet from the Sun.)
B. (((Australia is in Antarctica.) and ((4 * 20) <= (1 + -5) <= (5 ** 2))) or (not ((-18 + -6) == (2 ** 1)))) or (not ((Uranus is the 7th planet from the Sun.) or (The first iPhone was released occurred in 2007.)))
C. (The 1972 Olym... | {
"game_data": {
"answer": "A,B,C,E",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 3,
"language": "en",
"num_options": 6,
"seed": 31017181,
"true_count": 4
},
"question": "Below are several boolean expressions:\n\nA. not (Saturn is the 5th planet fr... |
logic-v2 | Below are several boolean expressions:
A. not (not not (not not (not not (Diamonds are made of carbon.))))
B. (not (((-10 - 4) > (4 * 5 - -2 * 8)) or ((31 is divisible by 12.) and ((-11 - 2) <= (10 * 0))))) and (((((15 * -2) == (-7 - 7)) or ((2 ** 1) == (13 * 14))) or (((-13 - 19) < (1 ** 3)) or (Mercury is the 1st pl... | {
"game_data": {
"answer": "B,C",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 4,
"language": "en",
"num_options": 3,
"seed": 22373333,
"true_count": 2
},
"question": "Below are several boolean expressions:\n\nA. not (not not (not not (not not (Diam... |
logic-v2 | Here are some boolean expressions to evaluate:
A. ((not (((1 ** 2) == (-15 + 20)) and ((-18 + 3) != (1 * -4 + 1 * -5)))) and (((A swan is a bird.) or ((-6 * 20) > (-20 * -5))) or (not not ((-1 - 17) < (15 + -6) < (5 ** 2))))) or (((-13 + -17) <= (3 ** 3) <= (10 * 13)) or (not not (Sound travels faster in a vacuum.)) o... | {
"game_data": {
"answer": "A,C,E,F",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 4,
"language": "en",
"num_options": 7,
"seed": 63488273,
"true_count": 4
},
"question": "Here are some boolean expressions to evaluate:\n\nA. ((not (((1 ** 2) == (-15... |
logic-v2 | 分析以下逻辑表达式：
A. not not (not not (not not (not ((16 - -16) >= (16 * 20)))))
B. not not ((not not (((波兰的货币是奈拉。) or ((巴西位于非洲。) and (1924年奥运会在圣路易斯举办。))) and (((1924年奥运会在雅典举办。) and ((6 * 9 * -4 * -6) > (-6 * 5 - -8 * 8))) or (((43 % 2) <= (4 * -6 + -5 * -7)) or (蜘蛛有8条腿。))))) and (((not not (地球是距离太阳第6近的行星。)) or ((-17 - -5) >... | {
"game_data": {
"answer": "A",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 6,
"language": "cn",
"num_options": 3,
"seed": 49791467,
"true_count": 1
},
"question": "分析以下逻辑表达式：\n\nA. not not (not not (not not (not ((16 - -16) >= (16 * 20)))))\nB. no... |
logic-v2 | Consider the following logical expressions:
A. not (((-13 - -16) == (10 - 16)) or (((Chile is in South America.) or (The chemical symbol for Nitrogen is N.)) or (not (100 is a perfect square.))))
B. not not ((Saturn is the 6th planet from the Sun.) and (The capital of Australia is Prague.) and (((The capital of Spain ... | {
"game_data": {
"answer": "C,E",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 4,
"language": "en",
"num_options": 5,
"seed": 70104213,
"true_count": 2
},
"question": "Consider the following logical expressions:\n\nA. not (((-13 - -16) == (10 - 16))... |
logic-v2 | Below are several boolean expressions:
A. not (not ((not not (not not (Carbon dioxide is a gas at room temperature.))) or ((-1 + -15) != (15 * 17))))
B. not (((not not ((2036 is a leap year.) and ((11 * 12) < (-15 - 15)))) and ((((7 + 1) != (-3 * 17)) or (The currency of New Zealand is the Sol.)) and ((Canada is in An... | {
"game_data": {
"answer": "A,B,C,D",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 5,
"language": "en",
"num_options": 6,
"seed": 75383960,
"true_count": 4
},
"question": "Below are several boolean expressions:\n\nA. not (not ((not not (not not (Car... |
logic-v2 | 检验这些表达式：
A. not ((((not ((9是质数。) and ((4 ** 3) != (14 + -9)))) and (not (41能被11整除。))) and (((沙特阿拉伯的货币是里亚尔。) or (人类首次登月发生在1968年。)) or (新西兰的首都是华沙。))) and (((十一月有30天。) and (not (not not (1992年是闰年。)))) or (not (not not (((20 - -17) >= (-2 * -4 * -6 * 7)) and (钛的化学符号是Ti。))))))
B. not (not (not (not not ((俄罗斯位于欧洲。) and (冰在常... | {
"game_data": {
"answer": "A",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 6,
"language": "cn",
"num_options": 3,
"seed": 29597872,
"true_count": 1
},
"question": "检验这些表达式：\n\nA. not ((((not ((9是质数。) and ((4 ** 3) != (14 + -9)))) and (not (41能被11整... |
logic-v2 | Evaluate the following boolean expressions and select the ones that are true:
A. (not (not ((not not (The capital of Morocco is Rabat.)) and ((-3 * 3 + 3 * -5) <= (-3 * -3 - -5 * -10) <= (49 % 8))))) and ((((35 % 2) == (-16 + 20)) or ((((29 % 9) != (28 % 3)) and (A day on Earth is 24 hours.)) and (The capital of Ukrai... | {
"game_data": {
"answer": "B,C,D",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 5,
"language": "en",
"num_options": 4,
"seed": 45733670,
"true_count": 3
},
"question": "Evaluate the following boolean expressions and select the ones that are true:\n... |
logic-v2 | 检验这些表达式：
A. not not (((美国位于大洋洲。) or (钠的化学符号是Al。)) or (((19 * 16) < (-14 - -10)) or (沙特阿拉伯的货币是比索。)))
B. not (加拿大的首都是渥太华。)
C. not not ((-8 * 5) < (-20 + 3))
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": "C",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 3,
"language": "cn",
"num_options": 3,
"seed": 28515267,
"true_count": 1
},
"question": "检验这些表达式：\n\nA. not not (((美国位于大洋洲。) or (钠的化学符号是Al。)) or (((19 * 16) < (-14 - -10)) ... |
logic-v2 | 研究以下逻辑语句：
A. not ((((5 ** 2) >= (11 * 8)) or ((瑞士的首都是堪培拉。) or (秘鲁的货币是比索。)) or ((((11 * -2) < (-9 * -9 + -7 * 2)) or ((-2 * -6 * 4 * -3) <= (-11 + 16))) or (五月有30天。))) and ((not (碳的化学符号是P。)) or (二氧化碳在常温下是气体。)))
B. not (not not ((((南非的货币是埃及镑。) or ((-4 + 13) < (17 * -12) < (6 + 18))) and ((日本位于亚洲。) or ((-8 * -13) <= (-6 ... | {
"game_data": {
"answer": "B,C,D,E",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 5,
"language": "cn",
"num_options": 5,
"seed": 96573599,
"true_count": 4
},
"question": "研究以下逻辑语句：\n\nA. not ((((5 ** 2) >= (11 * 8)) or ((瑞士的首都是堪培拉。) or (秘鲁的货币是比索。))... |
logic-v2 | 给定以下布尔表达式：
A. (not not (((第二次世界大战开始发生在1941年。) and (钠的化学符号是Pb。)) and ((not (哥伦比亚的货币是比索。)) and (not not (袋鼠有2条腿。))))) and ((英国位于北美洲。) or ((柏林墙倒塌发生在1989年。) or (((17 * 7) > (9 % 1)) and (1986年是闰年。)))) and (not (not ((not ((17 * 11) != (-6 * 3 + 4 * 7))) or (((-2 + -2) > (-3 * -1 - -5 * -10)) or ((0 * -7 + 6 * -8) <= (4 **... | {
"game_data": {
"answer": "C",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 5,
"language": "cn",
"num_options": 5,
"seed": 64389544,
"true_count": 1
},
"question": "给定以下布尔表达式：\n\nA. (not not (((第二次世界大战开始发生在1941年。) and (钠的化学符号是Pb。)) and ((not (哥伦比亚的... |
logic-v2 | 评估以下每个表达式：
A. (not not (not not ((not (not not (钻石由碳元素组成。))) and (not ((光速比声速快。) and (五月有31天。)))))) and (not (((哥伦布到达美洲发生在1492年。) or ((((-10 * 9 - -8 * -5) >= (12 - -8)) or ((3 + 11) <= (15 % 8) <= (4 ** 1))) or (not not ((8 * 5 * 0 * 6) >= (-7 + -4))))) or (鬣蜥是爬行动物。) or ((not ((日本位于欧洲。) and ((15 * -14) > (7 + 12)))) ... | {
"game_data": {
"answer": "C,D,G",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 6,
"language": "cn",
"num_options": 8,
"seed": 4971080,
"true_count": 3
},
"question": "评估以下每个表达式：\n\nA. (not not (not not ((not (not not (钻石由碳元素组成。))) and (not ((光速比声速... |
logic-v2 | 检验这些表达式：
A. (海王星是距离太阳第1近的行星。) or ((17 % 10) == (-9 * 10))
B. (not ((土星是距离太阳第6近的行星。) or ((-8 + -1) != (1 + 6)))) or ((((-8 * 18) >= (19 * 1)) or (土耳其的首都是安卡拉。)) or (not not (2004年是闰年。)))
C. (((2061年是闰年。) and ((1 ** 2) > (-18 * -17))) or (((-17 + 4) == (1 ** 2)) and (阿根廷的货币是比索。))) and (九月有31天。) and ((not not (法国的首都是巴黎。))... | {
"game_data": {
"answer": "B,E,G,H",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 3,
"language": "cn",
"num_options": 8,
"seed": 56515425,
"true_count": 4
},
"question": "检验这些表达式：\n\nA. (海王星是距离太阳第1近的行星。) or ((17 % 10) == (-9 * 10))\nB. (not ((土星是距离... |
logic-v2 | Analyze these boolean expressions:
A. not not ((((not ((-7 + -8) >= (6 - -1))) and (((-1 + -17) <= (3 * 9)) or (A lizard is a reptile.))) and (not not (The chemical symbol for Mercury is Cu.))) or ((not (((6 * -8 - 3 * -8) > (6 * 8 + -9 * -5)) or ((-18 + -11) <= (-7 * 10)))) and ((((13 + 4) != (10 * -8 * -3 * 7)) or (... | {
"game_data": {
"answer": "A,C,E",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 5,
"language": "en",
"num_options": 5,
"seed": 64618947,
"true_count": 3
},
"question": "Analyze these boolean expressions:\n\nA. not not ((((not ((-7 + -8) >= (6 - -1)... |
logic-v2 | 请评估以下布尔表达式，选择其中为真的选项：
A. 袋鼠有100条腿。
B. (地球是距离太阳第3近的行星。) or ((尼日利亚的货币是新西兰元。) or ((39 % 1) <= (18 * -6)))
C. ((1896年奥运会在雅典举办。) or (1900年是闰年。)) or (蝙蝠是瞎的。)
D. (not (水星是距离太阳第6近的行星。)) or ((金星是距离太阳第2近的行星。) or (土耳其的货币是兰特。))
E. (0 - -12) == (6 * -20)
F. (not ((-13 - -15) >= (4 * 4 + -8 * 8))) and ((-4 * -13) > (16 - -10))
G. 锌... | {
"game_data": {
"answer": "B,C,D",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 2,
"language": "cn",
"num_options": 7,
"seed": 52077421,
"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. 袋鼠有100条腿。\nB. (地球是距离太阳第3近的行星。) or ((尼日利亚的货币是新西兰元。) ... |
logic-v2 | Analyze these boolean expressions:
A. ((1 + -15) < (3 ** 1)) and ((not not ((18 * -18) <= (3 * -9 + -2 * 10))) or ((The currency of Peru is the Sol.) or ((7 * -12) < (-12 + 4))))
B. (((Mercury is the 1st planet from the Sun.) or (The chemical symbol for Manganese is Al.)) or (not not ((4 + -1) != (15 * -15)))) and (Th... | {
"game_data": {
"answer": "A,B",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 3,
"language": "en",
"num_options": 3,
"seed": 21232615,
"true_count": 2
},
"question": "Analyze these boolean expressions:\n\nA. ((1 + -15) < (3 ** 1)) and ((not not ((1... |
logic-v2 | Evaluate the following boolean expressions and select the ones that are true:
A. The 2000 Olympics were held in Sydney.
B. The currency of Australia is the Dollar.
C. ((A bee is a bird.) and (Oil is a solid at room temperature.)) and (((-18 * -18) < (11 + -7) < (-2 * 7)) or (The 1928 Olympics were held in Berlin.))
D.... | {
"game_data": {
"answer": "A,B,D,E",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 2,
"language": "en",
"num_options": 5,
"seed": 44761842,
"true_count": 4
},
"question": "Evaluate the following boolean expressions and select the ones that are true:... |
logic-v2 | Review these logical expressions:
A. not (90 is a Fibonacci number.)
B. not ((36 % 2) < (27 % 9))
C. (not not ((8 - 17) >= (5 ** 2))) and (((1 ** 1) != (-10 - -5)) or (((1 ** 2) > (13 - 11)) and (A ant is an insect.)))
D. ((not not (The currency of Nigeria is the Lira.)) and (((-6 * -9 + 7 * 2) <= (-11 * 11)) and ((1 ... | {
"game_data": {
"answer": "A,B,D,E",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 3,
"language": "en",
"num_options": 5,
"seed": 51089075,
"true_count": 4
},
"question": "Review these logical expressions:\n\nA. not (90 is a Fibonacci number.)\nB. n... |
logic-v2 | 检验这些表达式：
A. not ((not ((水蒸气在常温下是气体。) or (not ((2 * 1 - 0 * -4) == (-4 + -16))) or ((not (英国位于欧洲。)) and (((16 + 12) == (-5 * -10)) or ((1 ** 2) < (-18 - 17)))))) and ((not (((3 ** 3) == (15 * -2)) or (铅的化学符号是Pb。))) or ((-1 - 9) == (45 % 3))) and (not ((not (((5 ** 2) <= (4 ** 1)) and ((0 * 1 + -3 * -8) != (-10 * 3 + 6 ... | {
"game_data": {
"answer": "A,B,D,E,G,H",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 6,
"language": "cn",
"num_options": 8,
"seed": 67054395,
"true_count": 6
},
"question": "检验这些表达式：\n\nA. not ((not ((水蒸气在常温下是气体。) or (not ((2 * 1 - 0 * -4) == (-4 ... |
logic-v2 | 请评估以下布尔表达式，选择其中为真的选项：
A. (((24小于等于7。) or (二氧化碳在常温下是气体。) or (not not ((13 + 18) <= (15 * 0) <= (-11 * 14)))) or ((-8 + 6) == (-6 * 7 * -10 * -1)) or (not not (((4 * 3) <= (-12 * -1)) or (not not ((11 + 6) != (-15 - -10)))))) or ((((-13 - 15) == (-18 * -18)) and (not not (新西兰位于大洋洲。))) and (not (鲸鱼是鱼类。))) or ((not not ((... | {
"game_data": {
"answer": "A,C,D,E",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 5,
"language": "cn",
"num_options": 5,
"seed": 5562443,
"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. (((24小于等于7。) or (二氧化碳在常温下是气体。) or (not not ((13 + ... |
logic-v2 | Given the following boolean expressions:
A. (30 % 5) >= (10 * -8 - 5 * 8)
B. ((Mars is the 7th planet from the Sun.) or (Copper is a solid at room temperature.)) or ((20 * 14) >= (26 % 9))
C. ((13 + 16) > (-16 + -17)) or (((17 + 7) != (-12 * 17)) or ((-14 - -5) != (-8 * 4 - 9 * 1)))
D. not not ((The first iPhone was r... | {
"game_data": {
"answer": "A,B,C,D",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 2,
"language": "en",
"num_options": 5,
"seed": 77656595,
"true_count": 4
},
"question": "Given the following boolean expressions:\n\nA. (30 % 5) >= (10 * -8 - 5 * 8)\... |
logic-v2 | 下面是几个布尔表达式：
A. 蚂蚁有6条腿。
B. (日本的首都是开罗。) and (((-20 * 0) >= (18 - -1)) or (菲律宾的货币是比索。))
C. ((9 * -9) >= (5 - 19)) or (((13 * -12) < (-11 * 3)) and ((8 * 5 * -4 * 1) >= (7 * 6)))
D. not not (not (泰坦尼克号沉没发生在1912年。))
E. (-2 + 9) >= (6 * 15)
找出所有为真的表达式。在 \boxed{} 中用逗号分隔列出选项标识。 | {
"game_data": {
"answer": "A",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 2,
"language": "cn",
"num_options": 5,
"seed": 7703087,
"true_count": 1
},
"question": "下面是几个布尔表达式：\n\nA. 蚂蚁有6条腿。\nB. (日本的首都是开罗。) and (((-20 * 0) >= (18 - -1)) or (菲律宾的货币是比... |
logic-v2 | Below are several boolean expressions:
A. (not (The Soviet Union dissolved occurred in 1991.)) and ((not ((The capital of Nigeria is Abuja.) or ((8 * -2 + 2 * 7) < (15 + -3)))) and (not (Nitrogen is a solid at room temperature.)) and (((World War II ended occurred in 1945.) and (The 1996 Olympics were held in Atlanta.... | {
"game_data": {
"answer": "C,E",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 4,
"language": "en",
"num_options": 7,
"seed": 54912118,
"true_count": 2
},
"question": "Below are several boolean expressions:\n\nA. (not (The Soviet Union dissolved occ... |
logic-v2 | 请评估以下布尔表达式，选择其中为真的选项：
A. (not not ((土星是距离太阳第6近的行星。) or (哥伦比亚的首都是波哥大。))) and (((((柏林墙倒塌发生在1989年。) and ((9 * 14) <= (2 * -10 * 2 * -2) <= (1 ** 1))) or ((水星是距离太阳第6近的行星。) and ((-4 - 7) != (16 + -18)))) and (((1984年奥运会在赫尔辛基举办。) and (马有4条腿。)) and (((10 % 4) < (14 % 8)) and ((12 + 7) <= (11 - 10))))) and (not not (((21大于34。... | {
"game_data": {
"answer": "C",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 5,
"language": "cn",
"num_options": 3,
"seed": 51206391,
"true_count": 1
},
"question": "请评估以下布尔表达式，选择其中为真的选项：\n\nA. (not not ((土星是距离太阳第6近的行星。) or (哥伦比亚的首都是波哥大。))) and ((((... |
logic-v2 | 这里有一些需要评估的布尔表达式：
A. not ((((-10 + 16) != (2 * 10)) or ((-11 * -15) < (18 + -1))) and (((9 * 4 * -8 * 8) >= (-9 * 5 - 6 * -3)) or (汞的化学符号是Hg。)))
B. (((37大于37。) and (2086年是闰年。)) or (硫的化学符号是S。)) and ((-18 - 8) == (-20 * 17)) and (((鳕鱼是鱼类。) or ((8 * -1 - 6 * 8) == (5 * 9 * 6 * -5))) and (not (波兰的首都是华沙。)))
C. ((not not (法国... | {
"game_data": {
"answer": "E",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 3,
"language": "cn",
"num_options": 5,
"seed": 80706705,
"true_count": 1
},
"question": "这里有一些需要评估的布尔表达式：\n\nA. not ((((-10 + 16) != (2 * 10)) or ((-11 * -15) < (18 + -1)))... |
logic-v2 | 分析以下逻辑表达式：
A. not not ((((16 + -2) != (16 + -16)) or ((-3 + 3) >= (-11 + 18))) or (硫的化学符号是S。))
B. ((not (水在海平面上的沸点是100摄氏度。)) and ((土星是距离太阳第5近的行星。) and ((-10 * 20) < (3 * 1 - -4 * 2)))) and ((-4 * 9 + 1 * -10) <= (-4 * 2 + 10 * -10) <= (-19 + 12))
C. not not (not not ((墨西哥的货币是比索。) and ((-11 - 17) >= (5 ** 3))))
D. ((no... | {
"game_data": {
"answer": "A,D",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 3,
"language": "cn",
"num_options": 4,
"seed": 34116182,
"true_count": 2
},
"question": "分析以下逻辑表达式：\n\nA. not not ((((16 + -2) != (16 + -16)) or ((-3 + 3) >= (-11 + 18)))... |
logic-v2 | Here are some boolean expressions to evaluate:
A. (((The currency of Egypt is the Krona.) and (Egypt is in Africa.) and ((((1 * -2) < (1 * -6) < (45 % 6)) or ((31 % 7) != (20 + 6))) or ((6 is less than or equal to 32.) and ((18 * 13) <= (6 * 4 - -9 * 6) <= (13 + 15))))) or (not not (not ((-7 - -11) >= (7 * 8 * 6 * 7))... | {
"game_data": {
"answer": "C,D,G",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 5,
"language": "en",
"num_options": 7,
"seed": 46961702,
"true_count": 3
},
"question": "Here are some boolean expressions to evaluate:\n\nA. (((The currency of Egypt i... |
logic-v2 | 下面是几个布尔表达式：
A. (-8 * 7 + 8 * 7) >= (-20 * -1)
B. 光速约为每秒30万公里。
C. (2 ** 2) <= (3 - 14)
找出所有为真的表达式。在 \boxed{} 中用逗号分隔列出选项标识。 | {
"game_data": {
"answer": "B",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 2,
"language": "cn",
"num_options": 3,
"seed": 14822404,
"true_count": 1
},
"question": "下面是几个布尔表达式：\n\nA. (-8 * 7 + 8 * 7) >= (-20 * -1)\nB. 光速约为每秒30万公里。\nC. (2 ** 2) <= (... |
logic-v2 | 评估以下每个表达式：
A. not not ((not ((18 % 3) <= (-7 * 2 + -1 * 6) <= (-15 * -6))) and ((第一次世界大战结束发生在1916年。) and (肯尼亚位于南美洲。)))
B. (加拿大的货币是加元。) or ((((2 % 6) < (17 + -12) < (-9 + 0)) and ((6 * -5 - 6 * 0) == (5 ** 2))) or (((3 ** 3) >= (-11 - -4)) and (天王星是距离太阳第7近的行星。)))
C. (((韩国位于大洋洲。) and ((-2 * -3 + 8 * -1) > (6 + 11))) or ... | {
"game_data": {
"answer": "B,E,F",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 3,
"language": "cn",
"num_options": 7,
"seed": 5599614,
"true_count": 3
},
"question": "评估以下每个表达式：\n\nA. not not ((not ((18 % 3) <= (-7 * 2 + -1 * 6) <= (-15 * -6))) an... |
logic-v2 | 分析以下逻辑表达式：
A. ((not (not ((8 * 3 + 8 * 7) == (12 + -2)))) and (1904年奥运会在雅典举办。)) and ((2068年是闰年。) and (((4 ** 1) <= (2 * 1 + 2 * -8) <= (7 + -6)) or ((-20 * -15) < (-20 - 15))) and (((水蒸气在常温下是气体。) and ((-14 * -6) == (5 + -11))) or (((-18 * -5) >= (-15 - -6)) and ((5 - -1) < (5 - -12) < (13 % 9)))))
B. (not (not (西班牙的首都... | {
"game_data": {
"answer": "B,C,G,H",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 4,
"language": "cn",
"num_options": 8,
"seed": 22631313,
"true_count": 4
},
"question": "分析以下逻辑表达式：\n\nA. ((not (not ((8 * 3 + 8 * 7) == (12 + -2)))) and (1904年奥运会在雅典... |
logic-v2 | Analyze these boolean expressions:
A. not ((((8 * 9 + -8 * 8) < (23 % 5) < (37 % 7)) or ((-3 * 2 * -3 * -8) < (5 + -11))) or ((The chemical symbol for Tin is Sn.) or (Argentina is in Asia.)))
B. (((The 1968 Olympics were held in Mexico City.) or (There are 29 days in September.)) or (((-9 + 3) < (-9 * -8 - -8 * 4)) an... | {
"game_data": {
"answer": "B",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 3,
"language": "en",
"num_options": 3,
"seed": 97659811,
"true_count": 1
},
"question": "Analyze these boolean expressions:\n\nA. not ((((8 * 9 + -8 * 8) < (23 % 5) < (37 %... |
logic-v2 | 考虑以下布尔表达式：
A. not ((72能被5整除。) or (((7 * 8 * 8 * -4) <= (19 - -6)) or ((12 + 16) <= (5 ** 3) <= (2 * -8 + -7 * -9))))
B. ((27是质数。) and (印度尼西亚位于亚洲。) and (((2019年是闰年。) and ((2 ** 2) == (-19 - -4))) and (not not ((23 % 9) != (-9 * 4 - -10 * -5))))) and (not (地球绕太阳运转。))
C. not not (((-15 - 0) <= (4 * 4 + -3 * -5) <= (-6 + ... | {
"game_data": {
"answer": "D,E",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 4,
"language": "cn",
"num_options": 5,
"seed": 5019713,
"true_count": 2
},
"question": "考虑以下布尔表达式：\n\nA. not ((72能被5整除。) or (((7 * 8 * 8 * -4) <= (19 - -6)) or ((12 + 16)... |
logic-v2 | 这里有一些需要评估的布尔表达式：
A. ((地球绕太阳运转。) or (((柏林墙倒塌发生在1989年。) and (1928年奥运会在阿姆斯特丹举办。)) and ((1910年是闰年。) or (苏联解体发生在1991年。)))) and (not not ((钠的化学符号是Zn。) and ((3 + 20) >= (48 % 3))))
B. (((蝙蝠是瞎的。) or (氖的化学符号是Sn。)) and (not not ((越南位于亚洲。) or (美国的货币是卢比。)))) and ((not ((9 * -10) <= (0 + 1) <= (-9 - -4))) and (((10 - -9) >= (-3 * ... | {
"game_data": {
"answer": "C",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 4,
"language": "cn",
"num_options": 4,
"seed": 66512591,
"true_count": 1
},
"question": "这里有一些需要评估的布尔表达式：\n\nA. ((地球绕太阳运转。) or (((柏林墙倒塌发生在1989年。) and (1928年奥运会在阿姆斯特丹举办。)) a... |
logic-v2 | 研究以下逻辑语句：
A. ((((((-7 * 19) > (-10 + 3)) and ((4 * -2) == (-18 - -19))) or ((光速比声速快。) and ((-1 + 9) < (6 * 2 + -7 * -3)))) or (not ((比利时的首都是布鲁塞尔。) or ((5 * 18) == (7 * 1 - -6 * -1))))) or (not not ((氧气在常温下是气体。) and ((18 + -5) == (1 ** 3)))) or (not ((越南位于北美洲。) or ((第一部iPhone发布发生在2007年。) or ((-9 + 5) >= (6 * 8 * 2 * 9)... | {
"game_data": {
"answer": "B,C",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 5,
"language": "cn",
"num_options": 3,
"seed": 92149627,
"true_count": 2
},
"question": "研究以下逻辑语句：\n\nA. ((((((-7 * 19) > (-10 + 3)) and ((4 * -2) == (-18 - -19))) or ((光... |
logic-v2 | 检验这些表达式：
A. (not not ((地球上一天是24小时。) and (鲤鱼是鱼类。))) or ((空气在常温下是固体。) or (((印度尼西亚的首都是巴黎。) or (龙虾有4条腿。)) and (荷兰的首都是河内。)))
B. not (not not (天王星是距离太阳第7近的行星。))
C. (not ((氦的化学符号是Fe。) or (not (鸡是鸟类。)))) or (not not ((4 * 10 * 7 * -3) <= (10 * 8) <= (4 - 6)))
D. not (not ((-18 + -12) > (10 - -5)))
E. (not ((巴西的货币是谢克尔。) and ((... | {
"game_data": {
"answer": "A,C,E",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 4,
"language": "cn",
"num_options": 5,
"seed": 47946600,
"true_count": 3
},
"question": "检验这些表达式：\n\nA. (not not ((地球上一天是24小时。) and (鲤鱼是鱼类。))) or ((空气在常温下是固体。) or (((印度... |
logic-v2 | Evaluate the following boolean expressions and select the ones that are true:
A. not not (((not not (World War I began occurred in 1914.)) or (((3 + 11) >= (-15 * 7)) and ((-12 * 11) <= (-18 + -2))) or (not (not not (Oil is a gas at room temperature.)))) or (not (not (((-2 * 14) <= (16 * -8)) and ((4 * -10 - -4 * -5) ... | {
"game_data": {
"answer": "A,B,C,G",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 5,
"language": "en",
"num_options": 7,
"seed": 28311865,
"true_count": 4
},
"question": "Evaluate the following boolean expressions and select the ones that are true:... |
logic-v2 | 这里有一些需要评估的布尔表达式：
A. ((((not (美国宣布独立发生在1776年。)) and ((1949年是闰年。) and (not not (天王星是距离太阳第6近的行星。)))) or (not not ((not not ((-3 * -14) < (-10 - -9) < (-2 - 15))) and (氧气对人类生存是必需的。)))) and (((((5 * -1) <= (-18 * 2)) or (西班牙位于大洋洲。)) or ((法国大革命开始发生在1789年。) or (((3 ** 2) >= (18 + 14)) and (现代奥运会首届举办发生在1897年。)))) and (not (13... | {
"game_data": {
"answer": "B,E,F",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 6,
"language": "cn",
"num_options": 6,
"seed": 39598987,
"true_count": 3
},
"question": "这里有一些需要评估的布尔表达式：\n\nA. ((((not (美国宣布独立发生在1776年。)) and ((1949年是闰年。) and (not not... |
logic-v2 | Review these logical expressions:
A. France is in Antarctica.
B. not (not (The chemical symbol for Nickel is Ni.))
C. not not ((The chemical symbol for Oxygen is O.) or ((-5 - 2) < (-8 * -11) < (-3 * 1 * 10 * -8)))
D. ((Peru is in North America.) or (A iguana is a fish.)) or ((-18 - 16) >= (-1 * 0))
Which expressions... | {
"game_data": {
"answer": "B,C",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 2,
"language": "en",
"num_options": 4,
"seed": 7550240,
"true_count": 2
},
"question": "Review these logical expressions:\n\nA. France is in Antarctica.\nB. not (not (The... |
logic-v2 | Here are some boolean expressions to evaluate:
A. (not not (not not (Wood is a solid at room temperature.))) or ((((Nitrogen is a gas at room temperature.) or ((9 * 1 * 8 * 3) != (5 ** 2))) and ((Air is a gas at room temperature.) or (Peru is in South America.))) or (not ((6 * 15) == (42 % 8))) or (The chemical symbol... | {
"game_data": {
"answer": "A,D",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 4,
"language": "en",
"num_options": 4,
"seed": 29159098,
"true_count": 2
},
"question": "Here are some boolean expressions to evaluate:\n\nA. (not not (not not (Wood is a... |
logic-v2 | Here are some boolean expressions to evaluate:
A. ((5 * 17) < (1 - 17) < (8 - 14)) or ((97 is an even number.) and (The first Olympic Games of modern era occurred in 1896.))
B. Humans have five fingers on each hand.
C. (-15 * 2) >= (4 - -20)
Find all expressions that are True. Answer in \boxed{} with labels separated... | {
"game_data": {
"answer": "B",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 2,
"language": "en",
"num_options": 3,
"seed": 90976455,
"true_count": 1
},
"question": "Here are some boolean expressions to evaluate:\n\nA. ((5 * 17) < (1 - 17) < (8 - 14... |
logic-v2 | 下面是几个布尔表达式：
A. 30能被7整除。
B. (巴西位于南美洲。) and (蛇有0条腿。)
C. ((2 ** 1) != (-6 * -5 - -1 * 1)) or ((氦气在常温下是气体。) and (肯尼亚位于南极洲。))
D. (not (1948年奥运会在悉尼举办。)) or (((9 * 3 - -8 * 1) > (-4 - 7)) and ((-2 - 9) == (5 * -10)))
E. ((印度尼西亚的货币是印尼盾。) or (七月有29天。)) or (((11 * 13) == (14 * 2)) or (2098年是闰年。))
F. (6 * -20) < (12 + 17) < (5 *... | {
"game_data": {
"answer": "B,C,D,E,G,H",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 2,
"language": "cn",
"num_options": 8,
"seed": 34041503,
"true_count": 6
},
"question": "下面是几个布尔表达式：\n\nA. 30能被7整除。\nB. (巴西位于南美洲。) and (蛇有0条腿。)\nC. ((2 ** 1) != (... |
logic-v2 | 研究以下逻辑语句：
A. (-7 * -5) != (7 * 3)
B. (-13 - 15) > (-15 * -9)
C. not not (not not (菲律宾的货币是比索。))
D. not not (水在常温下是固体。)
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,C",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 2,
"language": "cn",
"num_options": 4,
"seed": 17969978,
"true_count": 2
},
"question": "研究以下逻辑语句：\n\nA. (-7 * -5) != (7 * 3)\nB. (-13 - 15) > (-15 * -9)\nC. not not (not... |
logic-v2 | 下面是几个布尔表达式：
A. ((日本位于南美洲。) and ((not not ((-1 + 8) < (-1 * 4 - 4 * 7))) or ((乌克兰的首都是河内。) and (芬兰的首都是赫尔辛基。)))) and (捷克的货币是克朗。) and ((肯尼亚位于非洲。) and (not ((-2 * 5 - -5 * 3) == (10 * -2))))
B. (((6 - 2) >= (0 * -9 + -3 * -7)) and ((酒精在常温下是固体。) or (企鹅能飞翔。))) and (((第一部iPhone发布发生在2007年。) or (1938年是闰年。)) and ((17 * 20) <= (1... | {
"game_data": {
"answer": "E",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 4,
"language": "cn",
"num_options": 7,
"seed": 18907585,
"true_count": 1
},
"question": "下面是几个布尔表达式：\n\nA. ((日本位于南美洲。) and ((not not ((-1 + 8) < (-1 * 4 - 4 * 7))) or ((乌克兰... |
logic-v2 | 这里有一些需要评估的布尔表达式：
A. (((not (1900年奥运会在洛杉矶举办。)) and (not not (not ((-1 * -4 - 10 * -3) >= (2 * 7))))) and (not (((氯的化学符号是Cl。) and ((3 ** 3) != (15 + 9))) and ((七月有28天。) or (美国位于北美洲。))))) and ((((47 % 2) < (4 * -7)) and (((17 - 3) == (-4 - 9)) and ((2004年奥运会在赫尔辛基举办。) and ((5 + -19) > (7 * -10 - 4 * -6))))) and ((中国位于亚洲。)... | {
"game_data": {
"answer": "B,C",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 5,
"language": "cn",
"num_options": 3,
"seed": 74839951,
"true_count": 2
},
"question": "这里有一些需要评估的布尔表达式：\n\nA. (((not (1900年奥运会在洛杉矶举办。)) and (not not (not ((-1 * -4 - 10... |
logic-v2 | Review these logical expressions:
A. The capital of Morocco is Riyadh.
B. The 1988 Olympics were held in Helsinki.
C. not not (not not (279 is a perfect square.))
D. ((A duck has 2 legs.) or ((-4 + 13) == (-9 * -18))) or ((5 ** 1) != (15 * 14))
E. (-7 * 7) <= (33 % 1)
F. ((36 % 4) <= (1 ** 1)) and (((-7 * 0 - -1 * 4) ... | {
"game_data": {
"answer": "D,E",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 2,
"language": "en",
"num_options": 7,
"seed": 60986465,
"true_count": 2
},
"question": "Review these logical expressions:\n\nA. The capital of Morocco is Riyadh.\nB. The... |
logic-v2 | 检验这些表达式：
A. (((((2000年奥运会在莫斯科举办。) and ((9 * -2 - -6 * 9) <= (15 - -6))) or ((5 * 8 + 1 * -9) < (1 ** 1))) and ((11 + 2) < (-20 + -4)) and ((not not (十二月有31天。)) or ((第二次世界大战开始发生在1934年。) and ((10 + -12) <= (-7 + 8))))) or ((((天王星是距离太阳第7近的行星。) or (79大于71。)) or (((12 - 9) >= (1 ** 1)) or ((5 ** 1) > (0 * -6 - -7 * -8)))) ... | {
"game_data": {
"answer": "A",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 5,
"language": "cn",
"num_options": 3,
"seed": 18378148,
"true_count": 1
},
"question": "检验这些表达式：\n\nA. (((((2000年奥运会在莫斯科举办。) and ((9 * -2 - -6 * 9) <= (15 - -6))) or ((5 *... |
logic-v2 | 请评估以下布尔表达式，选择其中为真的选项：
A. ((not (((2 ** 2) > (4 * 5 + 5 * -8)) or ((4 - -3) <= (10 - -18)))) or (((2016年奥运会在里约热内卢举办。) or (螃蟹有100条腿。)) and (阿根廷的货币是人民币。))) or (((not ((-18 * -19) >= (3 * 6))) and (蛇有10条腿。)) and (not (((16 - 20) <= (4 - 20)) and (肯尼亚位于南美洲。))))
B. not ((not not (not not ((2 ** 2) <= (2 * 9 + -4 * 3) <= (-1... | {
"game_data": {
"answer": "B,C,E",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 4,
"language": "cn",
"num_options": 6,
"seed": 76323975,
"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 (((2 ** 2) > (4 * 5 + 5 * -8)) or ((4 - -3) <... |
logic-v2 | 考虑以下布尔表达式：
A. 月球绕地球运转。
B. not not (中国的首都是斯德哥尔摩。)
C. not not (not (南非位于非洲。))
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": "A",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 2,
"language": "cn",
"num_options": 3,
"seed": 79420164,
"true_count": 1
},
"question": "考虑以下布尔表达式：\n\nA. 月球绕地球运转。\nB. not not (中国的首都是斯德哥尔摩。)\nC. not not (not (南非位于非洲。))\n\... |
logic-v2 | Consider the following logical expressions:
A. ((58 is a prime number.) or (not (((-19 + -9) != (10 * -2 - -8 * -3)) or ((1 ** 2) < (-1 * 12) < (2 ** 3))))) or ((not not ((Jupiter is the 4th planet from the Sun.) and ((4 ** 2) < (-20 - 12)))) or (((The Pacific Ocean is the largest ocean.) or (The chemical symbol for M... | {
"game_data": {
"answer": "A,B,C,F",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 4,
"language": "en",
"num_options": 8,
"seed": 70360407,
"true_count": 4
},
"question": "Consider the following logical expressions:\n\nA. ((58 is a prime number.) or... |
logic-v2 | Review these logical expressions:
A. (not not (not ((The French Revolution began occurred in 1789.) and (((South Korea is in Asia.) or ((17 + -2) >= (-9 + 2))) and (not not ((-19 + -2) == (40 % 1))))))) and (not ((((2 * 6 - -7 * -10) > (13 * 5)) or (not ((2 ** 3) <= (1 * 11)))) or (not not (((-16 * 1) <= (18 - -5)) an... | {
"game_data": {
"answer": "A,F,H",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 6,
"language": "en",
"num_options": 8,
"seed": 3208820,
"true_count": 3
},
"question": "Review these logical expressions:\n\nA. (not not (not ((The French Revolution be... |
logic-v2 | Examine these expressions:
A. not not ((not (((A tiger is a bird.) and (((-9 * 2 + -5 * 10) > (17 - 1)) or ((-5 - -4) <= (15 + 14)))) and ((-11 * -3) <= (37 % 8)))) and (not (not not (not (((7 - -19) > (-3 * -4)) and (Uranus is the 4th planet from the Sun.))))))
B. not not (((not ((9 * 3 * 7 * -10) == (29 % 9))) or ((... | {
"game_data": {
"answer": "B,D,F",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 6,
"language": "en",
"num_options": 6,
"seed": 76529124,
"true_count": 3
},
"question": "Examine these expressions:\n\nA. not not ((not (((A tiger is a bird.) and (((-9... |
logic-v2 | Evaluate each expression below:
A. not (not not (not not (not not ((2 * 8 + 2 * 9) >= (34 % 3)))))
B. not not (not not (((not ((The human body has 150 bones.) or (Mercury is the 1st planet from the Sun.))) or (not (Uranus is the 8th planet from the Sun.)) or (not (not ((9 - 16) != (8 * 2 + 4 * 5))))) and (((28 % 4) !=... | {
"game_data": {
"answer": "C",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 6,
"language": "en",
"num_options": 4,
"seed": 14474804,
"true_count": 1
},
"question": "Evaluate each expression below:\n\nA. not (not not (not not (not not ((2 * 8 + 2 * ... |
logic-v2 | 研究以下逻辑语句：
A. ((水星是距离太阳第4近的行星。) and (新西兰位于大洋洲。)) and (not (汞的化学符号是Hg。))
B. not not ((爱尔兰的首都是都柏林。) and (水在海平面上的沸点是100摄氏度。))
C. (第一部iPhone发布发生在2007年。) or ((人体有150块骨头。) and (2000年奥运会在洛杉矶举办。))
D. (((13 + 16) < (-10 * 8 * 0 * -5) < (-7 * 1 - 9 * 7)) and ((-14 + 10) <= (-4 + -16) <= (10 * 2))) and (莱特兄弟首次飞行发生在1904年。)
E. 墨西哥的... | {
"game_data": {
"answer": "B,C,F",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 2,
"language": "cn",
"num_options": 6,
"seed": 35073837,
"true_count": 3
},
"question": "研究以下逻辑语句：\n\nA. ((水星是距离太阳第4近的行星。) and (新西兰位于大洋洲。)) and (not (汞的化学符号是Hg。))\nB. n... |
logic-v2 | Evaluate each expression below:
A. not not (not not (not (not not (The chemical symbol for Neon is Na.))))
B. (not not ((not not ((15 - 3) >= (-13 + 9))) or (not ((-18 + -9) != (-8 - 13))))) and (not ((-2 * -8 - 3 * 2) <= (16 + -18) <= (-8 * 19)))
C. not (not (((-13 - 12) != (16 * -1)) or (The chemical symbol for Carb... | {
"game_data": {
"answer": "A,B,C,E",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 4,
"language": "en",
"num_options": 6,
"seed": 77951096,
"true_count": 4
},
"question": "Evaluate each expression below:\n\nA. not not (not not (not (not not (The che... |
logic-v2 | Analyze these boolean expressions:
A. not (((not (Sound travels faster in a vacuum.)) or (not not ((A elephant has 10 legs.) and ((13 * -16) > (9 * -2 * -6 * 0))))) or ((((9 + 15) < (-18 - 16)) or ((The Sun revolves around the Earth.) or ((15 + 7) > (-6 * 6 - 2 * 5)))) or (not not ((The French Revolution began occurre... | {
"game_data": {
"answer": "C,D,E",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 5,
"language": "en",
"num_options": 6,
"seed": 45957250,
"true_count": 3
},
"question": "Analyze these boolean expressions:\n\nA. not (((not (Sound travels faster in a ... |
logic-v2 | Evaluate each expression below:
A. not not ((((The Berlin Wall fell occurred in 1989.) or ((4 * 9 - 4 * -6) == (1 + -18))) or (not not ((Oil is a liquid at room temperature.) and (A cockroach is a mammal.)))) or (((not not ((-19 + 11) > (8 * -13))) and (Saturn is the 6th planet from the Sun.)) and ((-8 + 1) < (4 ** 2)... | {
"game_data": {
"answer": "A,B,C,D",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 5,
"language": "en",
"num_options": 5,
"seed": 37918777,
"true_count": 4
},
"question": "Evaluate each expression below:\n\nA. not not ((((The Berlin Wall fell occurr... |
logic-v2 | 这里有一些需要评估的布尔表达式：
A. ((龙虾有10条腿。) and ((48 % 8) >= (7 * -2 - -6 * 6))) and ((狗是哺乳动物。) or (82能被3整除。))
B. (((10 * -19) <= (3 * -4 - 9 * 8) <= (8 + -9)) and (四月有31天。)) and (土耳其的货币是福林。)
C. ((鱼有0条腿。) or ((3 ** 2) >= (0 - -3))) or ((韩国的首都是雅加达。) and (鱼有10条腿。))
D. not not (一月有31天。)
E. 铜在常温下是固体。
F. not ((19 * 14) <= (9 * 14) <= ... | {
"game_data": {
"answer": "C,D,E,F",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 2,
"language": "cn",
"num_options": 7,
"seed": 26384237,
"true_count": 4
},
"question": "这里有一些需要评估的布尔表达式：\n\nA. ((龙虾有10条腿。) and ((48 % 8) >= (7 * -2 - -6 * 6))) and (... |
logic-v2 | 分析以下逻辑表达式：
A. not not (((2 * -9) >= (-12 - 2)) and (((8 - 3) <= (19 - -20) <= (2 ** 3)) or (蜘蛛是昆虫。)))
B. not (not (((3 * -4 * -10 * -6) <= (26 % 8)) and ((-4 - -12) < (-8 * -6 * -9 * -6))))
C. ((not (狗是哺乳动物。)) or ((氖的化学符号是Ni。) or ((5 * 19) <= (4 * -2 - -10 * 0)))) or ((五月有31天。) and ((1980年奥运会在雅典举办。) and ((6 * 10 * -7 ... | {
"game_data": {
"answer": "B,D,E,F,G",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 3,
"language": "cn",
"num_options": 7,
"seed": 58916156,
"true_count": 5
},
"question": "分析以下逻辑表达式：\n\nA. not not (((2 * -9) >= (-12 - 2)) and (((8 - 3) <= (19 - -2... |
logic-v2 | Below are several boolean expressions:
A. not not (not not ((((47 % 5) < (-7 * 3 + -3 * 7) < (-10 * -10 - -5 * 9)) or ((not ((1 * 10 + -9 * -3) <= (8 * 1) <= (16 + -5))) or (not ((-4 - 0) >= (4 * 11))))) and ((not ((1 ** 2) < (1 * -3 * -9 * -8) < (14 - 7))) or (((-4 - 15) == (13 % 3)) or (The chemical symbol for Sodiu... | {
"game_data": {
"answer": "A,B,E,F",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 6,
"language": "en",
"num_options": 6,
"seed": 22165681,
"true_count": 4
},
"question": "Below are several boolean expressions:\n\nA. not not (not not ((((47 % 5) < (... |
logic-v2 | Consider the following logical expressions:
A. (not not ((-10 - 5) == (-19 + -6))) or ((not ((-16 - -11) < (-11 * 14) < (1 ** 1))) or ((The chemical symbol for Titanium is C.) and ((-2 + 1) > (-4 * -8))))
B. not ((((-2 * 0 * -7 * 10) < (3 ** 3) < (-17 * 10)) and (The currency of Colombia is the Peso.)) and ((8 * -2 * ... | {
"game_data": {
"answer": "A,B,C,D",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 3,
"language": "en",
"num_options": 6,
"seed": 28894774,
"true_count": 4
},
"question": "Consider the following logical expressions:\n\nA. (not not ((-10 - 5) == (-19... |
logic-v2 | 评估以下每个表达式：
A. ((not (((47 % 5) == (1 * -17)) or (智利位于南美洲。))) and ((not ((31 % 1) != (2 * -4 * 6 * -3))) or ((哥伦布到达美洲发生在1492年。) or (2008年奥运会在洛杉矶举办。))) and (not ((2 - -2) != (-5 * 9 - -8 * 4)))) and (not not (not not ((1 ** 3) < (17 * -14))))
B. (not not (((not (德国的首都是利马。)) and ((126是完全平方数。) or (希腊的首都是圣地亚哥。))) and (not ... | {
"game_data": {
"answer": "C",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 5,
"language": "cn",
"num_options": 5,
"seed": 30226802,
"true_count": 1
},
"question": "评估以下每个表达式：\n\nA. ((not (((47 % 5) == (1 * -17)) or (智利位于南美洲。))) and ((not ((31 % 1)... |
logic-v2 | Study the following logical statements:
A. not (not ((not ((1 ** 1) <= (9 * 5) <= (-17 + 15))) and ((-17 - 13) != (-3 - -12))))
B. ((((-10 - 14) >= (14 * 19)) or (((6 % 10) != (4 ** 1)) and ((-18 - 4) >= (15 + 12)))) or (not not (The chemical symbol for Lead is Hg.))) and ((((not not (The currency of Australia is the ... | {
"game_data": {
"answer": "A,C,E",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 5,
"language": "en",
"num_options": 5,
"seed": 88761042,
"true_count": 3
},
"question": "Study the following logical statements:\n\nA. not (not ((not ((1 ** 1) <= (9 * ... |
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