env stringclasses 1
value | prompt stringlengths 85 3.69k | extra dict |
|---|---|---|
logic-v2 | Below are several boolean expressions:
A. (not (not ((Electricity flows faster than light.) and (Saturn is the 6th planet from the Sun.)))) or (not (not not (((not ((1 ** 2) > (-16 - -17))) and (not not ((-4 * -10 + -6 * 5) >= (3 ** 3)))) or ((-10 * 9) != (-11 + -1)) or ((5 * 3 - 6 * -2) > (-3 + -18)))))
B. not not (n... | {
"game_data": {
"answer": "B",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 6,
"language": "en",
"num_options": 3,
"seed": 9942382,
"true_count": 1
},
"question": "Below are several boolean expressions:\n\nA. (not (not ((Electricity flows faster th... |
logic-v2 | Consider the following logical expressions:
A. The capital of Vietnam is Caracas.
B. (((-7 * -16) > (4 * 0 + 9 * -8)) and ((-3 * -16) <= (-8 * -5))) or (Air is a gas at room temperature.)
C. ((Mercury is the 1st planet from the Sun.) and ((11 - 2) == (1 % 1))) or ((The capital of Germany is Berlin.) or ((1 * -5 - -5 *... | {
"game_data": {
"answer": "B,C",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 2,
"language": "en",
"num_options": 5,
"seed": 53397901,
"true_count": 2
},
"question": "Consider the following logical expressions:\n\nA. The capital of Vietnam is Carac... |
logic-v2 | Given the following boolean expressions:
A. not not (not ((not (not not (The capital of Turkey is Havana.))) or (((((1 - -1) <= (46 % 3)) and ((-6 * -6) < (-9 * 8) < (12 + 5))) and (The currency of Peru is the Sol.)) and ((The currency of Thailand is the Yuan.) and (The capital of Colombia is Bogota.)) and (((Steam is... | {
"game_data": {
"answer": "C,D",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 6,
"language": "en",
"num_options": 4,
"seed": 36043938,
"true_count": 2
},
"question": "Given the following boolean expressions:\n\nA. not not (not ((not (not not (The c... |
logic-v2 | 下面是几个布尔表达式：
A. ((16 % 1) <= (4 - 4)) or ((4 ** 2) == (-13 - 18))
B. not not ((印度的货币是卢比。) and (火星是距离太阳第5近的行星。))
C. 以色列的货币是谢克尔。
D. ((15 - -9) < (27 % 1)) or (not not ((-13 - 17) != (3 ** 1)))
E. ((日本位于北美洲。) or ((20 % 1) >= (4 ** 1))) or ((委内瑞拉的首都是加拉加斯。) and (天王星是距离太阳第7近的行星。))
F. (((9 * 1 + -8 * -3) == (-15 + -18)) and (... | {
"game_data": {
"answer": "A,C,D,E",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 2,
"language": "cn",
"num_options": 6,
"seed": 35167236,
"true_count": 4
},
"question": "下面是几个布尔表达式：\n\nA. ((16 % 1) <= (4 - 4)) or ((4 ** 2) == (-13 - 18))\nB. not n... |
logic-v2 | Evaluate each expression below:
A. not (The chemical symbol for Copper is Si.)
B. ((8 % 9) >= (18 + -4)) and ((1 ** 3) < (10 * 9 - 2 * -10)) and (The chemical symbol for Iron is P.)
C. (Christopher Columbus reached America occurred in 1492.) and (not (Carbon dioxide is a gas at room temperature.))
D. (((The currency o... | {
"game_data": {
"answer": "A,E,F",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 3,
"language": "en",
"num_options": 8,
"seed": 41849271,
"true_count": 3
},
"question": "Evaluate each expression below:\n\nA. not (The chemical symbol for Copper is Si... |
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 (铜的化学符号是Cu。)) and ((not (声音在真空中传播更快。)) and (not ((18 - 6) <= (3 - -20))))) or (not not (((10 * -3 * -3 * 0) >= (-13 * 12)) and ((冰的密度比液态水小。) or (伦敦大火发生在1656年。))))) and (((not (钴的化学符号是Co。)) or (not ((-6 * 7 * 1 * -2) < (-16 + 9))) or ((((4 ** 2) < (16 - -4) < (-12 + 7)) and ... | {
"game_data": {
"answer": "A,C,D,E,F",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 6,
"language": "cn",
"num_options": 7,
"seed": 83359829,
"true_count": 5
},
"question": "请评估以下布尔表达式，选择其中为真的选项：\n\nA. not not ((((not not (铜的化学符号是Cu。)) and ((not (声音... |
logic-v2 | Given the following boolean expressions:
A. not ((not not (not ((not not (A chicken has 2 legs.)) or (((-3 * -2 - -9 * 4) <= (-2 * -2 * 2 * -5) <= (2 ** 3)) or (The currency of Hungary is the Krone.))))) or ((not not (The chemical symbol for Calcium is U.)) and ((not ((The French Revolution began occurred in 1789.) an... | {
"game_data": {
"answer": "A",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 6,
"language": "en",
"num_options": 5,
"seed": 90822106,
"true_count": 1
},
"question": "Given the following boolean expressions:\n\nA. not ((not not (not ((not not (A chic... |
logic-v2 | Here are some boolean expressions to evaluate:
A. not ((((not not (not not ((41 % 6) >= (8 * -2 - 5 * -4)))) or (not (((-20 + 11) >= (9 * -7)) and ((6 - -18) <= (18 - 1) <= (-6 * -17))))) or (((There are 30 days in September.) and ((The chemical symbol for Nitrogen is N.) and (The first moon landing occurred in 1969.)... | {
"game_data": {
"answer": "C",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 6,
"language": "en",
"num_options": 3,
"seed": 43074114,
"true_count": 1
},
"question": "Here are some boolean expressions to evaluate:\n\nA. not ((((not not (not not ((41 ... |
logic-v2 | Evaluate the following boolean expressions and select the ones that are true:
A. (not (not ((not (Oil is a gas at room temperature.)) and ((Oil is a solid at room temperature.) or (1933 is a leap year.))))) and (not not ((not ((The Moon produces its own light.) and (376 is a perfect square.))) and ((not (The currency ... | {
"game_data": {
"answer": "B",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 6,
"language": "en",
"num_options": 4,
"seed": 71569850,
"true_count": 1
},
"question": "Evaluate the following boolean expressions and select the ones that are true:\n\nA.... |
logic-v2 | 这里有一些需要评估的布尔表达式：
A. not (not not (not (((not not (30能被2整除。)) and ((1960年奥运会在柏林举办。) and (章鱼有8条腿。))) and (not ((金星是距离太阳第2近的行星。) and (汞的化学符号是Hg。))))))
B. not (((not ((-4 * 3 - 3 * -7) <= (10 * 7) <= (-1 - -1))) or (not (not not (not ((9 * -8 - 2 * -5) != (4 * -3 - 10 * 7)))))) or (((((委内瑞拉的首都是加拉加斯。) and (六月有31天。)) and ((... | {
"game_data": {
"answer": "D,G",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 6,
"language": "cn",
"num_options": 7,
"seed": 29577797,
"true_count": 2
},
"question": "这里有一些需要评估的布尔表达式：\n\nA. not (not not (not (((not not (30能被2整除。)) and ((1960年奥运会在柏林... |
logic-v2 | Analyze these boolean expressions:
A. (not (((((18 % 3) <= (12 * 17)) or (The chemical symbol for Mercury is Hg.)) and (not not (Mexico is in Antarctica.))) and ((not (The currency of Japan is the Dollar.)) or (not (1955 is a leap year.))))) and (not (not ((-9 * 2) == (1 ** 3))))
B. ((not (Earth is the 8th planet from... | {
"game_data": {
"answer": "E",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 5,
"language": "en",
"num_options": 5,
"seed": 9277793,
"true_count": 1
},
"question": "Analyze these boolean expressions:\n\nA. (not (((((18 % 3) <= (12 * 17)) or (The che... |
logic-v2 | 审视以下逻辑表达式：
A. ((((((-5 * -2 - 3 * 7) <= (27 % 7) <= (4 ** 2)) or (欧盟的货币是欧元。)) or (not (493是斐波那契数。))) and ((((4 - -5) <= (0 + 9)) or ((-1 * -2 - -9 * -2) != (1 * -9 - 6 * 7))) or ((26 % 9) == (-16 - 0)))) or (((not not (水在海平面上的沸点是100摄氏度。)) or (埃及的货币是印尼盾。)) and ((俄罗斯位于欧洲。) or (秘鲁的首都是利马。)) and ((not (氢的化学符号是H。)) or ((新西兰... | {
"game_data": {
"answer": "A,B",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 5,
"language": "cn",
"num_options": 4,
"seed": 91533429,
"true_count": 2
},
"question": "审视以下逻辑表达式：\n\nA. ((((((-5 * -2 - 3 * 7) <= (27 % 7) <= (4 ** 2)) or (欧盟的货币是欧元。)) ... |
logic-v2 | Review these logical expressions:
A. ((The capital of Egypt is Copenhagen.) and (not not ((-14 - -19) <= (-5 * -18)))) or ((not (The Moon produces its own light.)) and (The first iPhone was released occurred in 2007.)) or ((There are 30 days in November.) or ((2 % 4) >= (-7 * 10)))
B. not not (not not ((0 * 5 - 2 * 7)... | {
"game_data": {
"answer": "A,C,F,G",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 4,
"language": "en",
"num_options": 7,
"seed": 95724554,
"true_count": 4
},
"question": "Review these logical expressions:\n\nA. ((The capital of Egypt is Copenhagen.... |
logic-v2 | Evaluate each expression below:
A. not (((not not (The Great Fire of London occurred in 1666.)) or ((The capital of Portugal is Lisbon.) and ((8 * -7 * 3 * -10) != (0 * 4)))) and ((6 * -8 - 10 * 3) != (4 + -14)) and (((The currency of Israel is the Shekel.) and (Mars is the closest planet to the Sun.)) or (not (The 19... | {
"game_data": {
"answer": "B,C",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 4,
"language": "en",
"num_options": 3,
"seed": 4070621,
"true_count": 2
},
"question": "Evaluate each expression below:\n\nA. not (((not not (The Great Fire of London 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 (not not (((not (蝙蝠是瞎的。)) or ((-1 - -15) != (1 ** 3))) or ((not not ((19 + -6) <= (0 * -2) <= (3 * -1 - 0 * 5))) and ((13 - 2) != (3 * 9 * -10 * 9)))))
B. not not (not not ((not ((5 ** 1) < (-19 - 5) < (10 * -7 * -7 * 6))) and (not not ((泰坦尼克号沉没发生在1902年。) or ((木星是距离太阳第4近的行星。) or ((-20 ... | {
"game_data": {
"answer": "A,B,C,D",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 6,
"language": "cn",
"num_options": 6,
"seed": 53174181,
"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 (蝙蝠是瞎的。)) or ((-1 - -15) ... |
logic-v2 | 请评估以下布尔表达式，选择其中为真的选项：
A. ((((6 + -10) <= (16 * 13) <= (-10 - 11)) and ((-6 * -17) < (-20 * -19))) and (not (菲律宾的货币是比索。))) or (76是质数。)
B. (英国的货币是兰特。) or ((氧的化学符号是O。) and (蛇有0条腿。)) or (not ((-1 * -9 - -7 * 8) <= (18 - 11)))
C. (氦气在常温下是气体。) or (((0 * 1 + 4 * -6) <= (-15 * 1) <= (18 + 4)) or (越南位于南极洲。)) or ((((11 - -4) !=... | {
"game_data": {
"answer": "B,C,E,F",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 3,
"language": "cn",
"num_options": 6,
"seed": 96041008,
"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. ((((6 + -10) <= (16 * 13) <= (-10 - 11)) and ((-6... |
logic-v2 | 检验这些表达式：
A. not not (((-9 + 6) < (13 - -15)) or ((太阳绕地球运转。) or ((3 ** 1) < (-20 * -9) < (2 % 5))))
B. ((not not ((-4 * 0) > (25 % 10))) and ((螃蟹有0条腿。) or (鳕鱼是鱼类。))) and (not ((俄罗斯位于欧洲。) and (1984年奥运会在北京举办。)))
C. (沙特阿拉伯的货币是里亚尔。) or (not not ((15 % 5) == (-4 + -10)))
D. not not (((中国的货币是奈拉。) or ((41 % 9) <= (-8 - -11)))... | {
"game_data": {
"answer": "A,C",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 3,
"language": "cn",
"num_options": 5,
"seed": 3572063,
"true_count": 2
},
"question": "检验这些表达式：\n\nA. not not (((-9 + 6) < (13 - -15)) or ((太阳绕地球运转。) or ((3 ** 1) < (-20... |
logic-v2 | 给定以下布尔表达式：
A. ((((古巴的首都是哈瓦那。) or (1896年奥运会在雅典举办。)) or ((-5 * -12) <= (-20 - 20) <= (0 * 10))) or (((18 * 19) < (17 + 10)) or ((5 ** 2) > (-1 * -16))) or (((人类每只手有五个手指。) or ((17 - -16) >= (0 * 8 - -6 * 6))) or (((5 ** 1) > (12 - 5)) and (瓢虫是鱼类。)))) or ((not (第二次世界大战结束发生在1955年。)) or (((5 * 8 * 4 * 5) == (-6 - 13)) and (... | {
"game_data": {
"answer": "A",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 4,
"language": "cn",
"num_options": 3,
"seed": 58757459,
"true_count": 1
},
"question": "给定以下布尔表达式：\n\nA. ((((古巴的首都是哈瓦那。) or (1896年奥运会在雅典举办。)) or ((-5 * -12) <= (-20 - 20) ... |
logic-v2 | 考虑以下布尔表达式：
A. not ((not not ((not ((2073年是闰年。) or (欧盟的货币是欧元。))) or ((南极洲是最冷的大陆。) and (第一次世界大战结束发生在1918年。)) or ((not not ((9 * -2 * -9 * 10) <= (-19 - -9))) or ((2 * -11) == (-8 * -1 * -5 * -2))))) or ((not not ((-5 * 8 * -2 * -5) > (-1 - -9))) or ((((5 ** 3) <= (-9 * -8 * -6 * 5)) or (闪电不会两次击中同一个地方。)) or (((7 + 17) ==... | {
"game_data": {
"answer": "B",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 6,
"language": "cn",
"num_options": 5,
"seed": 28421153,
"true_count": 1
},
"question": "考虑以下布尔表达式：\n\nA. not ((not not ((not ((2073年是闰年。) or (欧盟的货币是欧元。))) or ((南极洲是最冷的大陆。)... |
logic-v2 | Evaluate each expression below:
A. ((not not (The currency of Sweden is the Baht.)) and (((4 - 1) < (16 * -19) < (0 - -17)) or (The capital of Nigeria is Oslo.) or ((not (The currency of Turkey is the Peso.)) or ((-8 * 10 - 9 * -4) <= (-17 + -19) <= (10 * 5))))) or ((not not (2005 is a leap year.)) and (not not ((2 **... | {
"game_data": {
"answer": "B,C,E",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 5,
"language": "en",
"num_options": 6,
"seed": 55195437,
"true_count": 3
},
"question": "Evaluate each expression below:\n\nA. ((not not (The currency of Sweden is the ... |
logic-v2 | 审视以下逻辑表达式：
A. (not (not not (((((43 % 9) >= (2 * 20)) and ((2 * -2 - -10 * -1) >= (1 - -10))) or (not ((3 ** 2) >= (-2 * 12)))) and ((苏联解体发生在1991年。) and ((47 % 3) != (0 * 6)))))) and ((not not ((((植物通过光合作用产生氧气。) and (1982年是闰年。)) and (油在常温下是液体。)) or ((10 * 8 - 2 * -5) < (-7 + -9)))) and ((((1 ** 3) <= (1 % 6) <= (-6 * ... | {
"game_data": {
"answer": "B,G",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 6,
"language": "cn",
"num_options": 7,
"seed": 23972601,
"true_count": 2
},
"question": "审视以下逻辑表达式：\n\nA. (not (not not (((((43 % 9) >= (2 * 20)) and ((2 * -2 - -10 * -1)... |
logic-v2 | Analyze these boolean expressions:
A. not ((not not (The currency of Hungary is the Forint.)) or (not not ((not not ((-2 - 12) >= (-14 - -18))) or (((-5 * 4 * -2 * -10) > (-2 * 18)) and (There are 29 days in January.)))))
B. ((((Australia is in Africa.) or ((The currency of Brazil is the Zloty.) or ((2 * 8 - -4 * 1) !... | {
"game_data": {
"answer": "C",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 5,
"language": "en",
"num_options": 3,
"seed": 48847986,
"true_count": 1
},
"question": "Analyze these boolean expressions:\n\nA. not ((not not (The currency of Hungary is ... |
logic-v2 | 检验这些表达式：
A. not not ((((not not (not not (第二次世界大战结束发生在1945年。))) and ((13 + 14) < (-1 * -6))) or ((南非的货币是比索。) and (((蚊子是昆虫。) and (189是偶数。)) and (not ((5 * -19) > (41 % 6)))))) and ((((20 * -2) < (1 ** 1) < (-16 + 15)) and ((3 + -12) <= (-10 * -1 + -8 * 3))) and (((水星是距离太阳第1近的行星。) or ((19 * -17) < (36 % 7))) or ((氦的化学符号... | {
"game_data": {
"answer": "C,D,F",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 6,
"language": "cn",
"num_options": 6,
"seed": 46005662,
"true_count": 3
},
"question": "检验这些表达式：\n\nA. not not ((((not not (not not (第二次世界大战结束发生在1945年。))) and ((13 + 1... |
logic-v2 | Evaluate the following boolean expressions and select the ones that are true:
A. ((The first iPhone was released occurred in 2007.) and (not not (((3 * -5 + 3 * 5) >= (12 * -7)) and (2083 is a leap year.)))) or ((((Kenya is in North America.) and (Jupiter is the 5th planet from the Sun.)) or (not (World War II began o... | {
"game_data": {
"answer": "C,D,E,F",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 4,
"language": "en",
"num_options": 7,
"seed": 39679788,
"true_count": 4
},
"question": "Evaluate the following boolean expressions and select the ones that are true:... |
logic-v2 | 考虑以下布尔表达式：
A. not not ((not not (((章鱼有8条腿。) or ((-8 + -5) == (-16 - -3))) or (((16 * -3) <= (-10 * -9 + 6 * -6) <= (0 * 9)) and (地球绕太阳运转。)) or ((2 * -5 + -10 * -10) <= (3 ** 3)))) and ((not (泰坦尼克号沉没发生在1912年。)) and (((1948年是闰年。) or (海王星是距离太阳第4近的行星。)) or ((204是完全平方数。) or ((-2 * -6 + 7 * 10) > (9 * 1)))) and ((not not (金... | {
"game_data": {
"answer": "B",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 6,
"language": "cn",
"num_options": 4,
"seed": 38617586,
"true_count": 1
},
"question": "考虑以下布尔表达式：\n\nA. not not ((not not (((章鱼有8条腿。) or ((-8 + -5) == (-16 - -3))) or (((... |
logic-v2 | Review these logical expressions:
A. (((A cow is a fish.) and ((-8 + -6) < (20 % 3))) or (not not ((-9 + -16) > (44 % 5)))) or (Brazil is in Africa.) or ((8 % 6) <= (1 + -13))
B. not not (The 1980 Olympics were held in Amsterdam.)
C. (not not (((-15 + 19) <= (-4 * -6 * 10 * 0)) or (A crab has 10 legs.))) and (((3 - -5... | {
"game_data": {
"answer": "F,G",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 3,
"language": "en",
"num_options": 8,
"seed": 47822468,
"true_count": 2
},
"question": "Review these logical expressions:\n\nA. (((A cow is a fish.) and ((-8 + -6) < (20... |
logic-v2 | 给定以下布尔表达式：
A. (((鸭子有2条腿。) and (((8 * 1 * 5 * 1) < (-4 + -20)) or (第一次世界大战结束发生在1913年。)) and ((((0 * -2 + -2 * -8) >= (31 % 7)) and ((-19 * -16) == (-15 - -1))) or (巴西的首都是巴西利亚。))) and (三月有28天。) and (((((8 - 9) != (-4 * 1 + 5 * 1)) and (磷的化学符号是Cu。)) and (not not (钛的化学符号是Ti。))) or (not ((-11 * -8) < (12 + 6))))) and (not ... | {
"game_data": {
"answer": "C,D",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 5,
"language": "cn",
"num_options": 4,
"seed": 69207392,
"true_count": 2
},
"question": "给定以下布尔表达式：\n\nA. (((鸭子有2条腿。) and (((8 * 1 * 5 * 1) < (-4 + -20)) or (第一次世界大战结束发生在... |
logic-v2 | 分析以下逻辑表达式：
A. not not (((not not (钛的化学符号是N。)) or (not (not (((-2 * -5) >= (5 ** 2)) or ((1 * 11) <= (1 ** 1) <= (-4 * -7 + 0 * 9)))))) or ((not not ((五月有31天。) or (((-3 * -6 - -5 * -5) != (5 * 5)) and (金星是距离太阳第3近的行星。)))) or (((中国长城是在一年内建成的。) or (第一次世界大战开始发生在1914年。)) or ((98大于90。) or ((12 + 3) == (-10 * -9 - 0 * -8)))) ... | {
"game_data": {
"answer": "A",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 6,
"language": "cn",
"num_options": 3,
"seed": 26523529,
"true_count": 1
},
"question": "分析以下逻辑表达式：\n\nA. not not (((not not (钛的化学符号是N。)) or (not (not (((-2 * -5) >= (5 ** ... |
logic-v2 | Evaluate the following boolean expressions and select the ones that are true:
A. ((643 is a Fibonacci number.) or ((-8 * -3 - -2 * 4) >= (20 + 17)) or (((Saturn is the 6th planet from the Sun.) or (Oil is a liquid at room temperature.)) and ((-7 - -9) >= (-5 - -11)))) or (not (The square root of 16 is 4.))
B. ((((14 -... | {
"game_data": {
"answer": "B,C,D,H",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 4,
"language": "en",
"num_options": 8,
"seed": 27907653,
"true_count": 4
},
"question": "Evaluate the following boolean expressions and select the ones that are true:... |
logic-v2 | 下面是几个布尔表达式：
A. ((((17 * 0) != (-18 + 11)) and (not not (光速约为每秒30万公里。)) and (蜜蜂是昆虫。)) and (506是斐波那契数。) and (((((-4 * -5 - -5 * 5) >= (-19 - 0)) or (十月有30天。)) or ((马来西亚的首都是吉隆坡。) and (现代奥运会首届举办发生在1896年。))) and ((17 % 4) != (-2 * 6 + 3 * 6)))) or (not ((莱特兄弟首次飞行发生在1893年。) or (钻石在常温下是固体。) or ((水星是距离太阳第1近的行星。) and ((海王星是距离太... | {
"game_data": {
"answer": "B,C,E",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 5,
"language": "cn",
"num_options": 5,
"seed": 20257875,
"true_count": 3
},
"question": "下面是几个布尔表达式：\n\nA. ((((17 * 0) != (-18 + 11)) and (not not (光速约为每秒30万公里。)) and (... |
logic-v2 | 给定以下布尔表达式：
A. (not not ((氖的化学符号是Ne。) and (猪有0条腿。))) or ((1992年奥运会在巴塞罗那举办。) or ((6 * -9) >= (5 - 2)))
B. (not not (1992年奥运会在东京举办。)) and (not not (((钻石由碳元素组成。) and ((5 * 4) != (1 ** 1))) or ((521是斐波那契数。) or (1944年是闰年。))))
C. ((not not (银的化学符号是K。)) and ((not not ((3 - -18) < (-17 + 5))) or ((第一次世界大战结束发生在1916年。) or ((4 - ... | {
"game_data": {
"answer": "A",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 4,
"language": "cn",
"num_options": 3,
"seed": 11097779,
"true_count": 1
},
"question": "给定以下布尔表达式：\n\nA. (not not ((氖的化学符号是Ne。) and (猪有0条腿。))) or ((1992年奥运会在巴塞罗那举办。) or ((... |
logic-v2 | Below are several boolean expressions:
A. 96 is divisible by 7.
B. The 1988 Olympics were held in Melbourne.
C. not (not not (The currency of Malaysia is the Ringgit.))
D. 97 is divisible by 8.
E. (((3 - 11) >= (-11 - 5)) and (There are 31 days in March.)) and (((9 * 8) < (13 * -14)) or (There are 31 days in March.))
... | {
"game_data": {
"answer": "E,F",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 2,
"language": "en",
"num_options": 8,
"seed": 66145519,
"true_count": 2
},
"question": "Below are several boolean expressions:\n\nA. 96 is divisible by 7.\nB. The 1988 O... |
logic-v2 | 分析以下逻辑表达式：
A. (((泰坦尼克号沉没发生在1912年。) or ((欧盟的货币是欧元。) and ((-7 * -9 + -7 * -3) <= (13 * -4)))) or (not ((53大于2。) and ((6 - -5) == (2 ** 3))))) and ((2083年是闰年。) or ((匈牙利的首都是布达佩斯。) and ((4 * 16) < (3 ** 1)))) and ((((13 + -2) < (-2 - 17)) or (not ((-8 * 2 * -3 * -7) == (5 - -10)))) and ((not not (鲤鱼是昆虫。)) and (镍的化学符号是Ni。))... | {
"game_data": {
"answer": "B,C,E,G",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 4,
"language": "cn",
"num_options": 7,
"seed": 81869504,
"true_count": 4
},
"question": "分析以下逻辑表达式：\n\nA. (((泰坦尼克号沉没发生在1912年。) or ((欧盟的货币是欧元。) and ((-7 * -9 + -7 * -3... |
logic-v2 | 分析以下逻辑表达式：
A. ((((17 + 5) > (-19 + -7)) and ((-4 + 1) <= (5 * -9 + -3 * 0))) and ((((0 - -20) <= (-9 + 0) <= (36 % 3)) or (氧气在常温下是气体。)) and (not (冰在常温下是固体。))) and (((not not (水蒸气在常温下是液体。)) or (氦气在常温下是气体。)) or (not not ((20 % 3) < (-10 + 20) < (-15 * 9))))) or (((((6 - -13) >= (1 % 6)) and (not (1943年是闰年。))) or ((9 - -... | {
"game_data": {
"answer": "A,B",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 5,
"language": "cn",
"num_options": 3,
"seed": 57074143,
"true_count": 2
},
"question": "分析以下逻辑表达式：\n\nA. ((((17 + 5) > (-19 + -7)) and ((-4 + 1) <= (5 * -9 + -3 * 0))) a... |
logic-v2 | Review these logical expressions:
A. ((((4 * 20) < (-10 * 2 - 5 * 1) < (-7 * 4 + 7 * 1)) or ((20 * -9) >= (-16 - -14))) or (1956 is a leap year.)) or ((-8 * 17) < (10 % 8))
B. ((A dog has 0 legs.) or ((The human body has 150 bones.) and (The Sun revolves around the Earth.))) or ((not (A gecko is a mammal.)) and (((8 *... | {
"game_data": {
"answer": "A,B,C,D,E,F",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 3,
"language": "en",
"num_options": 7,
"seed": 46775612,
"true_count": 6
},
"question": "Review these logical expressions:\n\nA. ((((4 * 20) < (-10 * 2 - 5 * 1) <... |
logic-v2 | 评估以下每个表达式：
A. not ((((蜘蛛有100条腿。) and (羊是爬行动物。)) and (六月有30天。)) and (((中国长城是在一年内建成的。) or (2004年奥运会在雅典举办。)) and (((8 * -9 * 0 * 4) < (8 * 9) < (12 - -12)) or (土星是距离太阳第1近的行星。))))
B. ((((巴西的首都是华沙。) or (尼日利亚的首都是阿布贾。)) or (((15 * 1) < (29 % 9)) and ((8 % 5) != (18 % 8)))) and (((3 ** 3) > (2 * -19)) and ((9 + 3) <= (6 * 2) ... | {
"game_data": {
"answer": "A,B,D",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 4,
"language": "cn",
"num_options": 6,
"seed": 4992344,
"true_count": 3
},
"question": "评估以下每个表达式：\n\nA. not ((((蜘蛛有100条腿。) and (羊是爬行动物。)) and (六月有30天。)) and (((中国长城是在一... |
logic-v2 | Below are several boolean expressions:
A. not (not ((not (Water boils at 100 degrees Celsius at sea level.)) and ((-5 - 7) <= (-15 + -4)) and ((49 % 8) > (10 * -2 * 7 * -3))))
B. (not ((The currency of Mexico is the Zloty.) or (not ((The chemical symbol for Calcium is Ca.) and ((-4 * -7 + 9 * -2) >= (-3 * -4)))))) or ... | {
"game_data": {
"answer": "B,C,D,F,G,H",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 5,
"language": "en",
"num_options": 8,
"seed": 95956172,
"true_count": 6
},
"question": "Below are several boolean expressions:\n\nA. not (not ((not (Water boils ... |
logic-v2 | 这里有一些需要评估的布尔表达式：
A. (-1 + -2) <= (14 * -12) <= (6 - -17)
B. not ((1952年奥运会在雅典举办。) or ((-5 * -9 - -6 * -4) > (2 ** 2)))
C. 钴的化学符号是Co。
D. 沙特阿拉伯的货币是里亚尔。
E. ((1 * 15) > (1 * 6)) and (not not ((-2 * 2 - -4 * 7) > (12 + -11)))
F. ((十二月有29天。) and (二月有31天。)) or (2024年奥运会在莫斯科举办。)
G. 钻石在常温下是气体。
H. not ((-15 * -1) < (-9 * 7))
找... | {
"game_data": {
"answer": "C,D,E,H",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 2,
"language": "cn",
"num_options": 8,
"seed": 39667781,
"true_count": 4
},
"question": "这里有一些需要评估的布尔表达式：\n\nA. (-1 + -2) <= (14 * -12) <= (6 - -17)\nB. not ((1952年奥运... |
logic-v2 | Here are some boolean expressions to evaluate:
A. (not not (The currency of Canada is the Pound.)) and ((((-6 * -6 - 7 * -3) < (-20 * 0)) and ((2078 is a leap year.) or (127 is a Fibonacci number.))) or ((not (Spiders are insects.)) and ((Light travels faster than sound.) and (Earth is the 3rd planet from the Sun.))))... | {
"game_data": {
"answer": "C",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 4,
"language": "en",
"num_options": 3,
"seed": 62972952,
"true_count": 1
},
"question": "Here are some boolean expressions to evaluate:\n\nA. (not not (The currency of Cana... |
logic-v2 | 考虑以下布尔表达式：
A. not not (((not (not not (((-20 + 4) < (-7 * -18)) and (蝴蝶有100条腿。)))) and ((-2 + 16) == (3 % 3)) and (not (((法国的首都是墨西哥城。) and ((16 + -11) < (5 - 2))) or (土星是距离太阳第6近的行星。)))) or ((((铬的化学符号是Cl。) or ((29 % 6) > (19 - 7))) or ((1 * 6 + -10 * -10) >= (9 * 4))) and ((-12 - -6) > (-9 * 4 * 8 * -9))) or (not not (... | {
"game_data": {
"answer": "B,D",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 6,
"language": "cn",
"num_options": 5,
"seed": 60417344,
"true_count": 2
},
"question": "考虑以下布尔表达式：\n\nA. not not (((not (not not (((-20 + 4) < (-7 * -18)) and (蝴蝶有100条腿。... |
logic-v2 | 检验这些表达式：
A. (((((17 * -13) == (14 + 0)) or ((6 * 4) != (-8 * -16))) and (not not ((17 - -11) == (7 * 8 - -1 * -10)))) and ((not not ((5 * 2 + -1 * -5) != (-9 + -7))) and (not not (土耳其的首都是安卡拉。)))) and (((not not ((8 * -7 + -10 * 3) <= (19 * -4))) or (not not (尼日利亚位于大洋洲。))) or (酒精在常温下是气体。))
B. ((not ((第二次世界大战结束发生在1955年。... | {
"game_data": {
"answer": "C,D",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 4,
"language": "cn",
"num_options": 4,
"seed": 3138087,
"true_count": 2
},
"question": "检验这些表达式：\n\nA. (((((17 * -13) == (14 + 0)) or ((6 * 4) != (-8 * -16))) and (not no... |
logic-v2 | Below are several boolean expressions:
A. Peru is in South America.
B. (4 ** 2) <= (28 % 5)
C. ((19 + -18) == (11 + -8)) and (not not (Saturn is the 6th planet from the Sun.))
D. (((-8 * -2 * 9 * -8) < (20 % 6)) and (496 is a Fibonacci number.)) and (The capital of Malaysia is Singapore.)
E. (2 * -7 * 3 * -6) <= (17 *... | {
"game_data": {
"answer": "A",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 2,
"language": "en",
"num_options": 8,
"seed": 81177058,
"true_count": 1
},
"question": "Below are several boolean expressions:\n\nA. Peru is in South America.\nB. (4 ** 2)... |
logic-v2 | Review these logical expressions:
A. ((((The chemical symbol for Helium is He.) and ((-5 + -20) >= (6 + 3))) and ((-15 * -19) != (16 - -2))) and ((4 ** 1) == (5 ** 3)) and ((The chemical symbol for Lead is Co.) or ((-6 + 2) > (-1 * -1 * 1 * -5)))) or ((The chemical symbol for Iron is Cu.) and ((The 1920 Olympics were ... | {
"game_data": {
"answer": "A,C,D",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 4,
"language": "en",
"num_options": 4,
"seed": 44498259,
"true_count": 3
},
"question": "Review these logical expressions:\n\nA. ((((The chemical symbol for Helium is H... |
logic-v2 | 研究以下逻辑语句：
A. not (((电流比光速更快。) or ((-15 * 16) != (49 % 6))) and (植物通过光合作用产生氧气。))
B. (奥地利的首都是维也纳。) or (尼日利亚位于非洲。)
C. (1970年是闰年。) and ((not not (铁的化学符号是U。)) and ((-11 * 20) <= (6 * 1 * -3 * 5) <= (-1 - 12)))
D. ((((-10 + -20) != (-13 - -16)) and ((3 - 0) <= (-3 * -4) <= (26 % 2))) or ((3 ** 3) >= (-8 * -9 + 10 * 2))) or ... | {
"game_data": {
"answer": "B",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 3,
"language": "cn",
"num_options": 4,
"seed": 51385366,
"true_count": 1
},
"question": "研究以下逻辑语句：\n\nA. not (((电流比光速更快。) or ((-15 * 16) != (49 % 6))) and (植物通过光合作用产生氧气。))\... |
logic-v2 | 给定以下布尔表达式：
A. (not not (2024年奥运会在安特卫普举办。)) or (not (月球自己发光。))
B. not (not (((4 ** 1) > (-2 * 10 * -7 * 3)) and (法国位于大洋洲。)))
C. not (铜的化学符号是Ca。)
选出所有值为 True 的选项。在 \boxed{} 中以逗号分隔的形式给出答案。 | {
"game_data": {
"answer": "A,C",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 3,
"language": "cn",
"num_options": 3,
"seed": 68880171,
"true_count": 2
},
"question": "给定以下布尔表达式：\n\nA. (not not (2024年奥运会在安特卫普举办。)) or (not (月球自己发光。))\nB. not (not (((... |
logic-v2 | 给定以下布尔表达式：
A. (not not (not ((((747是斐波那契数。) or ((3 * -5) <= (-11 - 11))) or ((木星是距离太阳第5近的行星。) and (铁在常温下是固体。))) and (1963年是闰年。)))) or (not ((((-7 - -16) < (-1 * -8 - 3 * -7)) and (水在常温下是气体。)) and ((not not (美国位于南美洲。)) and ((肯尼亚位于南极洲。) and ((14 * -17) != (4 * 14)))) and (((-14 - 18) == (5 * 9 * 9 * 7)) and (((硅的化学符号是Fe... | {
"game_data": {
"answer": "A,B,E,F,G",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 6,
"language": "cn",
"num_options": 7,
"seed": 98220242,
"true_count": 5
},
"question": "给定以下布尔表达式：\n\nA. (not not (not ((((747是斐波那契数。) or ((3 * -5) <= (-11 - 11)))... |
logic-v2 | 下面是几个布尔表达式：
A. (-6 * 1 + -6 * 1) == (-7 + 12)
B. 水在海平面上的沸点是100摄氏度。
C. (二氧化碳在常温下是气体。) and (not ((20 + -18) != (4 ** 2)))
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": 40325825,
"true_count": 1
},
"question": "下面是几个布尔表达式：\n\nA. (-6 * 1 + -6 * 1) == (-7 + 12)\nB. 水在海平面上的沸点是100摄氏度。\nC. (二氧化碳在常温... |
logic-v2 | Below are several boolean expressions:
A. not not (not (not not (not not ((-9 + 11) == (-16 * -3)))))
B. (not not (((-19 + -14) >= (7 * -4 - 4 * 4)) or ((25 is divisible by 2.) and ((-4 - 6) != (8 * -15))))) or ((-20 * -9) == (17 + 6)) or (((not (A cockroach is an insect.)) or ((1 * -11) < (-6 * -10 - 1 * -3))) and ((... | {
"game_data": {
"answer": "A,B,D,F,G",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 4,
"language": "en",
"num_options": 8,
"seed": 8151302,
"true_count": 5
},
"question": "Below are several boolean expressions:\n\nA. not not (not (not not (not not ... |
logic-v2 | Analyze these boolean expressions:
A. (9 + 9) > (-15 * 18)
B. (-15 - 9) >= (-1 * -4 * -1 * -9)
C. ((Diamond is a solid at room temperature.) or ((31 % 6) == (35 % 3))) and ((Christopher Columbus reached America occurred in 1492.) or (Whales are fish.))
D. The chemical symbol for Tin is Sn.
Which of these evaluate to ... | {
"game_data": {
"answer": "A,C,D",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 2,
"language": "en",
"num_options": 4,
"seed": 4220111,
"true_count": 3
},
"question": "Analyze these boolean expressions:\n\nA. (9 + 9) > (-15 * 18)\nB. (-15 - 9) >= (... |
logic-v2 | Given the following boolean expressions:
A. (The capital of Venezuela is Caracas.) or ((12 + 4) > (8 + -18))
B. ((A crow is a reptile.) and (Christopher Columbus reached America occurred in 1492.)) and ((The 2020 Olympics were held in Atlanta.) or ((-9 - 9) <= (-14 * -15)))
C. (not not ((13 % 8) <= (7 * 2 + 0 * 6) <= ... | {
"game_data": {
"answer": "A,C",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 2,
"language": "en",
"num_options": 5,
"seed": 80414662,
"true_count": 2
},
"question": "Given the following boolean expressions:\n\nA. (The capital of Venezuela is Carac... |
logic-v2 | 下面是几个布尔表达式：
A. (((-19 - -14) == (0 + 3)) and (not not ((2 - -4) == (6 - 19)))) or (not (乌克兰的首都是渥太华。)) or ((((钠的化学符号是Na。) and (水在海平面上的沸点是100摄氏度。)) and (日本的首都是东京。)) and ((-1 * -1 * -6 * 1) != (11 % 2)))
B. not (not (阿根廷的首都是布宜诺斯艾利斯。))
C. not not (not ((not not (天王星是距离太阳第7近的行星。)) and (41是质数。)))
D. ((((菲律宾的首都是马尼拉。) or ((-4... | {
"game_data": {
"answer": "A,B,D,E",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 4,
"language": "cn",
"num_options": 6,
"seed": 21051055,
"true_count": 4
},
"question": "下面是几个布尔表达式：\n\nA. (((-19 - -14) == (0 + 3)) and (not not ((2 - -4) == (6 - 19... |
logic-v2 | 下面是几个布尔表达式：
A. 第一部iPhone发布发生在2007年。
B. ((加拿大的货币是加元。) or ((7 % 3) == (-19 - 8))) and ((美国位于北美洲。) and ((-1 * 10) > (-16 + 16)))
C. not not ((比利时的首都是东京。) and (鲸鱼是哺乳动物。))
D. not ((金的化学符号是Fe。) or ((7 * 0 * 6 * 6) <= (-10 - -20)))
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": 4,
"seed": 28071094,
"true_count": 1
},
"question": "下面是几个布尔表达式：\n\nA. 第一部iPhone发布发生在2007年。\nB. ((加拿大的货币是加元。) or ((7 % 3) == (-19 - 8)))... |
logic-v2 | 分析以下逻辑表达式：
A. not ((美国的货币是美元。) or (((12 * 12) > (37 % 8)) or (哥伦比亚的货币是比索。)))
B. (not (蜘蛛是昆虫。)) or ((not not ((-3 * -6 * -10 * -3) != (-19 - -16))) or (124是完全平方数。))
C. (not not ((铬的化学符号是Cr。) and (汞在常温下是固体。))) or (((5 + 6) != (-2 * -10 * 9 * 2)) and ((4 * 8 + 2 * -4) >= (-13 * -19))) or ((5 ** 3) <= (-1 - -9) <= (-15 + ... | {
"game_data": {
"answer": "B,D",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 3,
"language": "cn",
"num_options": 4,
"seed": 28891265,
"true_count": 2
},
"question": "分析以下逻辑表达式：\n\nA. not ((美国的货币是美元。) or (((12 * 12) > (37 % 8)) or (哥伦比亚的货币是比索。)))\n... |
logic-v2 | 这里有一些需要评估的布尔表达式：
A. (((not not (中国长城是在一年内建成的。)) and (not (地球绕太阳运转。)) and ((not ((3 ** 3) < (18 + -19))) or (((-3 * -10 * 6 * -3) != (5 * 9 + 2 * -2)) and ((4 - 15) < (-10 * -7 + 9 * 10) < (-16 - -1))))) and (not ((18 + 6) <= (0 * 8 * -7 * 10) <= (3 ** 1)))) and (((((瑞典的首都是阿布贾。) or (金在常温下是固体。)) and (氧气对人类生存是必需的。)) and ... | {
"game_data": {
"answer": "C,D,E,F",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 5,
"language": "cn",
"num_options": 7,
"seed": 50183275,
"true_count": 4
},
"question": "这里有一些需要评估的布尔表达式：\n\nA. (((not not (中国长城是在一年内建成的。)) and (not (地球绕太阳运转。)) and (... |
logic-v2 | Here are some boolean expressions to evaluate:
A. (((not not ((-2 * 7 - -2 * 0) < (11 + 1) < (-5 + 8))) or (The chemical symbol for Tin is Sn.) or ((6 + 3) == (2 * 10 + -1 * 0))) and ((not (828 is a Fibonacci number.)) or (New Zealand is in Oceania.))) or (not not (not ((16 - 19) < (-8 + 16) < (4 * -7 * -2 * 8)))) or ... | {
"game_data": {
"answer": "A,B",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 5,
"language": "en",
"num_options": 6,
"seed": 25234717,
"true_count": 2
},
"question": "Here are some boolean expressions to evaluate:\n\nA. (((not not ((-2 * 7 - -2 * 0... |
logic-v2 | 评估以下每个表达式：
A. ((not not ((((19 + -13) < (-5 + -1)) or (2016年奥运会在里约热内卢举办。)) or (鸭子有2条腿。))) or (not not (((摩洛哥位于欧洲。) or ((2 ** 1) <= (4 ** 2))) and (银在常温下是气体。)))) or ((not (墨西哥位于北美洲。)) or (not (((蜘蛛有8条腿。) or (1952年奥运会在巴黎举办。)) and (((21 % 2) < (4 * 11)) or ((15 * 20) > (10 + 2))))))
B. not not (not ((((钙的化学符号是Pt。) or (三月... | {
"game_data": {
"answer": "A,E,F",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 5,
"language": "cn",
"num_options": 7,
"seed": 84477883,
"true_count": 3
},
"question": "评估以下每个表达式：\n\nA. ((not not ((((19 + -13) < (-5 + -1)) or (2016年奥运会在里约热内卢举办。)) o... |
logic-v2 | Study the following logical statements:
A. not (Earth is the 8th planet from the Sun.)
B. (((19 * 11) <= (0 * -8 * -5 * -2) <= (11 + -8)) or (The 1932 Olympics were held in Los Angeles.)) and ((((-1 - 19) < (5 ** 1)) or (2059 is a leap year.)) or (((1 * 7 - -7 * 2) <= (12 * 11) <= (-4 + -12)) or (Saudi Arabia is in As... | {
"game_data": {
"answer": "A,B,C",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 3,
"language": "en",
"num_options": 3,
"seed": 69934597,
"true_count": 3
},
"question": "Study the following logical statements:\n\nA. not (Earth is the 8th planet from... |
logic-v2 | 分析以下逻辑表达式：
A. not ((not not ((新西兰位于南美洲。) or (捷克的货币是兹罗提。))) and (金在常温下是固体。))
B. (not ((not not (鲨鱼是鱼类。)) and ((95能被6整除。) and ((-9 + -19) == (10 * -3 * -2 * 2))))) or ((5 ** 1) == (-12 * 2)) or ((not (哥伦布到达美洲发生在1492年。)) and (not (((3 * -7 + 6 * 0) < (9 * 10 + -4 * 10) < (-8 * 9 * -4 * -3)) or (海王星是距离太阳第2近的行星。))))
C. (((... | {
"game_data": {
"answer": "A,B,D,F",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 4,
"language": "cn",
"num_options": 6,
"seed": 86978026,
"true_count": 4
},
"question": "分析以下逻辑表达式：\n\nA. not ((not not ((新西兰位于南美洲。) or (捷克的货币是兹罗提。))) and (金在常温下是固体。)... |
logic-v2 | 检验这些表达式：
A. not (((鲸鱼是鱼类。) and ((49 % 5) != (17 * 14))) and (not not ((2 - 5) < (14 + 7) < (1 ** 3))))
B. not ((((7 * 8) != (5 ** 3)) and ((-17 + 0) <= (2 - 15) <= (-2 * 2 * 4 * 6))) and (地球是距离太阳第3近的行星。))
C. (not not (((5 ** 1) != (-10 * 10)) or ((6 + 12) <= (11 - 16)))) and (((-10 * -5 * -6 * -9) == (1 * 3 + 10 * -1)... | {
"game_data": {
"answer": "A,B,F",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 3,
"language": "cn",
"num_options": 7,
"seed": 76611528,
"true_count": 3
},
"question": "检验这些表达式：\n\nA. not (((鲸鱼是鱼类。) and ((49 % 5) != (17 * 14))) and (not not ((2 - 5... |
logic-v2 | Study the following logical statements:
A. (not not ((The chemical symbol for Sodium is Na.) or (((-1 * 9 * -7 * 4) < (6 * -13)) or ((10 * 9) <= (2 - 1) <= (-8 - -11))) or (A ostrich is a bird.))) and (((((Italy is in Europe.) or ((4 - -11) >= (2 ** 1))) and (((-14 - 1) < (5 + 9)) and ((14 * 13) == (-3 * 3 - 8 * -9)))... | {
"game_data": {
"answer": "A",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 5,
"language": "en",
"num_options": 3,
"seed": 76816787,
"true_count": 1
},
"question": "Study the following logical statements:\n\nA. (not not ((The chemical symbol for So... |
logic-v2 | Evaluate the following boolean expressions and select the ones that are true:
A. not ((((4 ** 3) < (-10 * -10) < (-11 * 8)) or (not not (((8 % 10) <= (-18 * 16)) or (The 2016 Olympics were held in Berlin.)))) and ((((The chemical symbol for Gold is Au.) or (The currency of Czech Republic is the Koruna.)) or ((The capi... | {
"game_data": {
"answer": "A,C",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 5,
"language": "en",
"num_options": 3,
"seed": 41125180,
"true_count": 2
},
"question": "Evaluate the following boolean expressions and select the ones that are true:\n\n... |
logic-v2 | Analyze these boolean expressions:
A. not (not not ((((-10 * 4 - 5 * 10) != (18 + 18)) or (not not (A fly is an insect.))) or (2001 is a leap year.) or (not not (((There are 30 days in April.) and (1928 is a leap year.)) and (122 is a perfect square.)))))
B. not not ((not not ((not not ((World War II ended occurred in... | {
"game_data": {
"answer": "C,E,F,H",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 6,
"language": "en",
"num_options": 8,
"seed": 62263503,
"true_count": 4
},
"question": "Analyze these boolean expressions:\n\nA. not (not not ((((-10 * 4 - 5 * 10) !... |
logic-v2 | Analyze these boolean expressions:
A. ((((not not (82 is less than or equal to 37.)) and ((Jupiter is the 6th planet from the Sun.) or ((2 ** 1) <= (11 % 4)))) and (((-2 * 4 + 9 * -9) < (-12 * -14)) or (The currency of Japan is the Yen.))) and (((13 * 9) >= (1 + 6)) or ((32 is greater than 82.) and ((-15 - -3) == (-6 ... | {
"game_data": {
"answer": "B,D,F",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 5,
"language": "en",
"num_options": 6,
"seed": 89980549,
"true_count": 3
},
"question": "Analyze these boolean expressions:\n\nA. ((((not not (82 is less than or equal ... |
logic-v2 | Examine these expressions:
A. not (Neptune is the 8th planet from the Sun.)
B. ((((40 % 7) == (6 + -7)) or ((9 - 18) <= (-1 * -7 * -5 * 7))) and (not not ((32 % 9) > (10 * -19)))) and (A ladybug is an insect.)
C. (France is in Europe.) and (not ((A butterfly is an insect.) and ((-15 + 15) != (19 - 7))))
D. not not ((0... | {
"game_data": {
"answer": "D,E",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 3,
"language": "en",
"num_options": 6,
"seed": 42659437,
"true_count": 2
},
"question": "Examine these expressions:\n\nA. not (Neptune is the 8th planet from the Sun.)\nB... |
logic-v2 | 下面是几个布尔表达式：
A. (((not ((-8 - 17) == (-5 + -13))) and (not not ((18 % 6) == (1 * -1)))) or ((6 % 9) == (17 * -17))) and (not not (191是偶数。))
B. ((not not (2008年奥运会在北京举办。)) or ((澳大利亚的货币是澳元。) and ((48 % 8) == (-6 * 7 + -8 * -3))) or ((2011年是闰年。) or (41是质数。))) and (((鹰是鸟类。) or (金星是距离太阳第2近的行星。)) or (蜘蛛是昆虫。))
C. not ((not (n... | {
"game_data": {
"answer": "B,D,E,H",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 4,
"language": "cn",
"num_options": 8,
"seed": 62726860,
"true_count": 4
},
"question": "下面是几个布尔表达式：\n\nA. (((not ((-8 - 17) == (-5 + -13))) and (not not ((18 % 6) ==... |
logic-v2 | Examine these expressions:
A. not not (The first Olympic Games of modern era occurred in 1896.)
B. ((Venus is the 2nd planet from the Sun.) or (not not ((27 % 9) != (9 * -6)))) and ((((3 ** 2) < (-1 * -4 * -10 * 3)) or ((-15 - -12) > (13 + -20))) and ((Oil is a liquid at room temperature.) and (The 1948 Olympics were ... | {
"game_data": {
"answer": "A,B,E",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 3,
"language": "en",
"num_options": 5,
"seed": 38991355,
"true_count": 3
},
"question": "Examine these expressions:\n\nA. not not (The first Olympic Games of modern era... |
logic-v2 | Below are several boolean expressions:
A. not not (not not ((not not (A dolphin is an insect.)) and (not (((0 * 18) > (-9 + -11)) and (Mercury is the 1st planet from the Sun.))) and (((197 is a perfect square.) or (((-1 * 3 * 4 * -4) != (13 * 3)) and (Mars is the 4th planet from the Sun.))) or (not not ((The 2020 Olym... | {
"game_data": {
"answer": "C,D,E,G",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 6,
"language": "en",
"num_options": 7,
"seed": 36629137,
"true_count": 4
},
"question": "Below are several boolean expressions:\n\nA. not not (not not ((not not (A do... |
logic-v2 | Consider the following logical expressions:
A. The capital of Vietnam is Riyadh.
B. The chemical symbol for Lead is Cl.
C. ((World War II ended occurred in 1945.) or (The currency of China is the Peso.)) and (not not ((-1 * 2 * -6 * -3) == (39 % 8)))
D. (((-18 + -1) < (1 - 20) < (27 % 10)) or (There are 28 days in Apr... | {
"game_data": {
"answer": "E",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 2,
"language": "en",
"num_options": 5,
"seed": 27014144,
"true_count": 1
},
"question": "Consider the following logical expressions:\n\nA. The capital of Vietnam is Riyadh.... |
logic-v2 | Analyze these boolean expressions:
A. not (not not (The currency of South Africa is the Rand.))
B. (not not (not (The Soviet Union dissolved occurred in 1991.))) or ((The capital of China is New Delhi.) and ((3 * -9 + 8 * 2) >= (-5 * -5 - 9 * -6))) or ((A crow is a bird.) or ((8 * -10 * 4 * -5) == (-10 * -10 + 1 * -4)... | {
"game_data": {
"answer": "B,C,E",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 3,
"language": "en",
"num_options": 5,
"seed": 55712511,
"true_count": 3
},
"question": "Analyze these boolean expressions:\n\nA. not (not not (The currency of South Af... |
logic-v2 | Evaluate each expression below:
A. not not ((not (((The 1988 Olympics were held in Seoul.) or (not not ((-4 * 20) > (-7 - 19)))) or ((Uranus is the 7th planet from the Sun.) and ((Humans have three lungs.) or ((11 - 9) <= (2 * 9 - 7 * -5)))))) or (not not (not (23 is greater than 2.))))
B. (not not (not ((Ice is a sol... | {
"game_data": {
"answer": "B,E,G",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 6,
"language": "en",
"num_options": 7,
"seed": 70870506,
"true_count": 3
},
"question": "Evaluate each expression below:\n\nA. not not ((not (((The 1988 Olympics were h... |
logic-v2 | 这里有一些需要评估的布尔表达式：
A. not not ((((5 ** 3) > (-8 * 10 + 6 * 4)) or (天王星是距离太阳第4近的行星。)) or ((-1 * 4 - -6 * -10) != (2 - 4)))
B. ((-7 * 9 - -9 * 5) != (-10 * 10 * -5 * -4)) and ((2031年是闰年。) and (1972年奥运会在巴黎举办。)) and (not ((-20 + -5) <= (-18 * -5) <= (-1 - -7)))
C. ((not not ((10 * -13) > (5 * -12))) and ((大象是爬行动物。) or (莱特兄弟... | {
"game_data": {
"answer": "A,D,E,F",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 3,
"language": "cn",
"num_options": 6,
"seed": 20600238,
"true_count": 4
},
"question": "这里有一些需要评估的布尔表达式：\n\nA. not not ((((5 ** 3) > (-8 * 10 + 6 * 4)) or (天王星是距离太阳第... |
logic-v2 | 请评估以下布尔表达式，选择其中为真的选项：
A. (not not (169的平方根是5。)) or ((6 + -5) > (17 + -11))
B. not (((-7 * 1) >= (-20 - -2)) and (人体有150块骨头。))
C. not (((20 * -9) < (16 % 8)) or (人类有2条腿。))
D. 2095年是闰年。
E. (-14 * 14) == (14 - 1)
F. (18 + -16) < (10 + 6)
G. ((8 - 0) >= (3 - -4)) and (not (空气在常温下是气体。))
H. (6 - -1) <= (9 * -9 - -2 * 4)
哪些... | {
"game_data": {
"answer": "B,F",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 2,
"language": "cn",
"num_options": 8,
"seed": 1995243,
"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 (169的平方根是5。)) or ((6 + -5) > (17 + -11))\nB. ... |
logic-v2 | Given the following boolean expressions:
A. (not (not not (not not ((((20 + 8) != (-20 - 0)) or ((5 ** 1) > (9 * -9 + -4 * -6))) or ((Diamonds are made of carbon.) or ((5 - -4) != (6 * 6 - 2 * 8))))))) or (not (not not (not not (((-8 + -10) >= (20 - 5)) or ((-14 + 19) == (3 ** 2))))))
B. not ((not (((((-11 + -9) < (4 ... | {
"game_data": {
"answer": "A,C,F,G",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 6,
"language": "en",
"num_options": 7,
"seed": 30452073,
"true_count": 4
},
"question": "Given the following boolean expressions:\n\nA. (not (not not (not not ((((20 ... |
logic-v2 | Consider the following logical expressions:
A. not not ((not (((16 - 5) < (11 * -17)) and (The currency of Indonesia is the Rupee.))) or ((((((-6 * 1 + -6 * 2) > (18 - 13)) and ((4 ** 3) != (-16 + -20))) or ((The square root of 16 is 15.) or ((5 ** 2) != (15 * -19)))) and (Penguins can fly.)) and (((((4 ** 2) > (14 * ... | {
"game_data": {
"answer": "A,C",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 6,
"language": "en",
"num_options": 3,
"seed": 2858788,
"true_count": 2
},
"question": "Consider the following logical expressions:\n\nA. not not ((not (((16 - 5) < (11 *... |
logic-v2 | Given the following boolean expressions:
A. not (not not (not (not (Saturn is the 6th planet from the Sun.))))
B. not not (not not ((not (82 is greater than 29.)) and (not (((4 ** 1) <= (8 * 2 * -2 * -10) <= (8 * 10)) and (((7 - 1) <= (40 % 2) <= (36 % 4)) or (340 is a perfect square.))))))
C. not not ((not ((not not ... | {
"game_data": {
"answer": "E,F",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 6,
"language": "en",
"num_options": 6,
"seed": 32371157,
"true_count": 2
},
"question": "Given the following boolean expressions:\n\nA. not (not not (not (not (Saturn is ... |
logic-v2 | Study the following logical statements:
A. Jupiter is the 5th planet from the Sun.
B. ((6 + 1) < (2 * -2 - -2 * -2)) or ((-5 * -1 * -8 * -6) == (-11 * 10))
C. (not (The chemical symbol for Chromium is Cr.)) or ((The capital of Thailand is Dublin.) or (Gold is a liquid at room temperature.))
D. not not (((6 * 5 + -8 * ... | {
"game_data": {
"answer": "A,E,F,G",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 2,
"language": "en",
"num_options": 7,
"seed": 76480292,
"true_count": 4
},
"question": "Study the following logical statements:\n\nA. Jupiter is the 5th planet from ... |
logic-v2 | Review these logical expressions:
A. not ((2 % 7) < (18 + -14))
B. not ((44 % 7) > (5 * -8 * 10 * 7))
C. (not (Spain is in Europe.)) and ((((16 - -17) <= (20 - 4)) or ((-3 - 12) > (-13 - -11))) and (((-11 + 17) != (7 - -6)) or ((-8 * 7) <= (5 ** 3))))
D. not not (((Mercury is a liquid at room temperature.) or ((19 + 1... | {
"game_data": {
"answer": "D",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 3,
"language": "en",
"num_options": 4,
"seed": 71870874,
"true_count": 1
},
"question": "Review these logical expressions:\n\nA. not ((2 % 7) < (18 + -14))\nB. not ((44 % 7... |
logic-v2 | Examine these expressions:
A. (-15 - -4) >= (5 * -16)
B. not (((6 + -10) < (14 - 18) < (-7 * 9)) or ((5 ** 2) >= (6 - 4)))
C. ((The chemical symbol for Sodium is Na.) and (Mercury is the 7th planet from the Sun.)) and ((86 is greater than 5.) or ((1 ** 3) < (-3 + -7) < (16 % 10)))
D. Helium is a gas at room temperatur... | {
"game_data": {
"answer": "A,D,E,F,H",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 2,
"language": "en",
"num_options": 8,
"seed": 74337122,
"true_count": 5
},
"question": "Examine these expressions:\n\nA. (-15 - -4) >= (5 * -16)\nB. not (((6 + -10... |
logic-v2 | Analyze these boolean expressions:
A. not ((((((8 * 2 - 2 * 2) <= (4 ** 3) <= (-7 + -13)) or (Copper is a solid at room temperature.)) or (((9 * 0 * -10 * -5) != (0 - -5)) and ((-11 + -18) <= (-9 * -3 + 1 * 7)))) and ((The chemical symbol for Helium is Au.) or ((0 + 19) == (-20 - -3))) and (((16 + 8) == (-11 - 20)) or... | {
"game_data": {
"answer": "A",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 5,
"language": "en",
"num_options": 3,
"seed": 99644264,
"true_count": 1
},
"question": "Analyze these boolean expressions:\n\nA. not ((((((8 * 2 - 2 * 2) <= (4 ** 3) <= (-... |
logic-v2 | 这里有一些需要评估的布尔表达式：
A. not not (not (((((罗马尼亚的首都是哈瓦那。) or (印度尼西亚的货币是人民币。)) or ((-10 + -20) < (20 + -9))) and ((not (委内瑞拉的首都是加拉加斯。)) and (铜在常温下是气体。))) or ((((-12 - -18) > (-3 + -20)) or ((6 + 13) > (-20 * 9))) and (((7 + 7) <= (4 - 17)) or (秘鲁的首都是墨西哥城。))) or (((8 - -13) == (11 % 10)) and ((1912年奥运会在斯德哥尔摩举办。) and ((1 * 20)... | {
"game_data": {
"answer": "A,B,F",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 6,
"language": "cn",
"num_options": 6,
"seed": 15136608,
"true_count": 3
},
"question": "这里有一些需要评估的布尔表达式：\n\nA. not not (not (((((罗马尼亚的首都是哈瓦那。) or (印度尼西亚的货币是人民币。)) or (... |
logic-v2 | 分析以下逻辑表达式：
A. (德国位于南极洲。) or (not not (海王星是距离太阳第8近的行星。))
B. (新加坡的货币是卢比。) and (钛的化学符号是Pt。)
C. ((水星是距离太阳第2近的行星。) or (((-3 * 0 - -9 * 5) >= (4 ** 3)) and ((37 % 5) > (20 * 4)))) or (镁的化学符号是Pb。) or ((((-14 + 0) != (-6 * -7 + -3 * 4)) or ((-5 * 10 - 0 * 5) <= (3 * -5 + -7 * -2))) and ((1942年是闰年。) or (现代奥运会首届举办发生在1886年。)))
... | {
"game_data": {
"answer": "A",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 3,
"language": "cn",
"num_options": 3,
"seed": 66008830,
"true_count": 1
},
"question": "分析以下逻辑表达式：\n\nA. (德国位于南极洲。) or (not not (海王星是距离太阳第8近的行星。))\nB. (新加坡的货币是卢比。) and (钛的... |
logic-v2 | 研究以下逻辑语句：
A. not not (((((-19 - -14) > (-17 + -19)) and (硫的化学符号是S。)) and ((1920年奥运会在斯德哥尔摩举办。) or ((9 * -15) >= (-2 * -14)))) or (((19 - 9) < (18 - -1)) or ((7 * -1 + 8 * -8) >= (8 * -2 * -1 * -7))) or (not not (not (76是斐波那契数。))))
B. not not ((not not ((地球绕太阳运转。) or (466是斐波那契数。))) and (not not (十月有31天。)))
C. ((((瑞典的货币是... | {
"game_data": {
"answer": "A,B,C",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 4,
"language": "cn",
"num_options": 4,
"seed": 93486659,
"true_count": 3
},
"question": "研究以下逻辑语句：\n\nA. not not (((((-19 - -14) > (-17 + -19)) and (硫的化学符号是S。)) and ((1... |
logic-v2 | Here are some boolean expressions to evaluate:
A. not not (not ((not not (The 1976 Olympics were held in Montreal.)) and (((((3 * -3 - 3 * 4) <= (10 + 20) <= (9 + -18)) and ((19 - -5) < (16 - 18))) and (not not ((5 + 18) >= (20 + 3)))) or ((-13 - 19) <= (-14 - -9)))))
B. not not (not not (not not ((not ((Oxygen is a g... | {
"game_data": {
"answer": "B,C",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 6,
"language": "en",
"num_options": 3,
"seed": 84014171,
"true_count": 2
},
"question": "Here are some boolean expressions to evaluate:\n\nA. not not (not ((not not (The ... |
logic-v2 | 下面是几个布尔表达式：
A. ((not ((酒精在常温下是气体。) or ((3 * 1 - 8 * -2) >= (-4 - 12)))) and ((氯的化学符号是Pb。) and (15小于等于77。)) and (((-16 * 17) == (1 ** 2)) and (((-19 - 18) > (4 * 3 - -10 * 4)) or (2016年奥运会在里约热内卢举办。)))) or (not (((中国的货币是人民币。) or (火星是距离太阳第2近的行星。)) or ((十二月有28天。) or (韩国位于非洲。))))
B. (((苏联解体发生在1996年。) and ((-20 + 11) <= (16... | {
"game_data": {
"answer": "B,C,D,G",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 4,
"language": "cn",
"num_options": 8,
"seed": 77611311,
"true_count": 4
},
"question": "下面是几个布尔表达式：\n\nA. ((not ((酒精在常温下是气体。) or ((3 * 1 - 8 * -2) >= (-4 - 12)))) an... |
logic-v2 | 这里有一些需要评估的布尔表达式：
A. (not (((-14 + -16) <= (9 - 17)) and (((5 ** 3) != (19 + -19)) or ((7 * -10) <= (2 % 1))))) and ((1960年奥运会在墨西哥城举办。) and (海王星是距离太阳第8近的行星。))
B. 氧气对人类生存是必需的。
C. not ((not ((阿根廷的货币是比索。) or ((5 + -4) <= (42 % 8)))) or ((16 - 9) < (8 * 15)))
D. (not (not not (苏联解体发生在1996年。))) and ((19 + 3) < (-11 + -1) < ... | {
"game_data": {
"answer": "B",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 4,
"language": "cn",
"num_options": 6,
"seed": 72167219,
"true_count": 1
},
"question": "这里有一些需要评估的布尔表达式：\n\nA. (not (((-14 + -16) <= (9 - 17)) and (((5 ** 3) != (19 + -19)... |
logic-v2 | Examine these expressions:
A. (The 1896 Olympics were held in Athens.) and (((14 * 1) <= (-2 * -5 - -7 * 6) <= (3 - 20)) or ((81 is a prime number.) or (The 1932 Olympics were held in Melbourne.)))
B. not (((The capital of Malaysia is Kuala Lumpur.) and ((-10 * -8) < (31 % 6) < (2 ** 2))) and ((-9 + 4) <= (-10 * 3 - 3... | {
"game_data": {
"answer": "B,C,D",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 3,
"language": "en",
"num_options": 4,
"seed": 64478073,
"true_count": 3
},
"question": "Examine these expressions:\n\nA. (The 1896 Olympics were held in Athens.) and (... |
logic-v2 | Examine these expressions:
A. ((-1 * -6 * 6 * -8) < (-6 * 7 * 8 * -7) < (8 % 8)) or (((-14 - 9) < (5 - -9) < (6 * -1 * 5 * -2)) and (((-19 - -19) > (3 ** 2)) and (Oxygen is a solid at room temperature.)))
B. not not ((not ((-5 * 11) > (5 ** 1))) or (The currency of Mexico is the Peso.))
C. (Nigeria is in Africa.) and ... | {
"game_data": {
"answer": "B,F,G",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 3,
"language": "en",
"num_options": 7,
"seed": 30880804,
"true_count": 3
},
"question": "Examine these expressions:\n\nA. ((-1 * -6 * 6 * -8) < (-6 * 7 * 8 * -7) < (8 %... |
logic-v2 | Below are several boolean expressions:
A. not not (not (not not ((((The capital of Singapore is Singapore.) or ((13 - -3) > (4 * -11))) or ((The 1896 Olympics were held in Athens.) or ((4 + -16) < (23 % 5)))) and ((The chemical symbol for Cobalt is Co.) or (2052 is a leap year.)) and (A octopus has 8 legs.))))
B. not ... | {
"game_data": {
"answer": "C,D",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 6,
"language": "en",
"num_options": 4,
"seed": 78720685,
"true_count": 2
},
"question": "Below are several boolean expressions:\n\nA. not not (not (not not ((((The capita... |
logic-v2 | 请评估以下布尔表达式，选择其中为真的选项：
A. ((not not ((-10 * 2 * 0 * 3) == (6 * -9))) or (((-12 + -10) <= (-9 + 18)) or (not ((6 + 0) > (5 ** 3))))) and (((((18 * 14) >= (3 * -3 - 8 * -2)) or (埃及的首都是开罗。)) or ((1948年奥运会在伦敦举办。) or ((9 * -9 + 6 * 2) <= (4 * -1)))) and (not (((10 - -5) <= (3 * 1 + -8 * -8)) and ((19 + -19) != (4 * -3)))))
... | {
"game_data": {
"answer": "B,H",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 4,
"language": "cn",
"num_options": 8,
"seed": 69432961,
"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 ((-10 * 2 * 0 * 3) == (6 * -9))) or (((-12 ... |
logic-v2 | 这里有一些需要评估的布尔表达式：
A. not not (not not ((not not ((-17 - -3) > (-12 * -9))) or (((not ((-5 - -11) <= (5 - -5))) and ((2 ** 1) < (15 + -18))) or (月球绕地球运转。))))
B. not (not not (not ((((铂的化学符号是Pt。) or ((11 * -6) < (3 - -13) < (8 * 4 - -7 * 5))) or ((-9 * 3 + -4 * -10) >= (-16 + 7))) or (水在常温下是气体。) or (not (not not ((13 - 8... | {
"game_data": {
"answer": "A,B,C,D,E,F",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 6,
"language": "cn",
"num_options": 6,
"seed": 45065959,
"true_count": 6
},
"question": "这里有一些需要评估的布尔表达式：\n\nA. not not (not not ((not not ((-17 - -3) > (-12 * -9... |
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 (((加拿大的首都是伯尔尼。) or ((10 - 0) >= (-4 + -13))) or (((-9 * 8 * -3 * 6) <= (7 % 3)) and ((7 * -3) < (-6 - -12))) or (((((-19 * 5) == (4 ** 1)) or (1912年奥运会在阿姆斯特丹举办。)) or ((1968年奥运会在洛杉矶举办。) and (第一次世界大战开始发生在1919年。))) or (not (((6 * 1 + 5 * 7) != (9 - 7)) and (肯尼亚位于非洲。))))))
B. not not ... | {
"game_data": {
"answer": "C,E",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 6,
"language": "cn",
"num_options": 6,
"seed": 18840146,
"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 (((加拿大的首都是伯尔尼。) or ((10 - 0) >= (-4 + -1... |
logic-v2 | Given the following boolean expressions:
A. (not ((not (not (not not ((-14 - -15) > (2 ** 3))))) or (not (((2 + 4) == (13 % 5)) and ((The 1968 Olympics were held in Mexico City.) and (Diamonds are made of carbon.)))))) or (not not ((not not (not ((The 1964 Olympics were held in Beijing.) or (2040 is a leap year.)))) o... | {
"game_data": {
"answer": "B,F,H",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 6,
"language": "en",
"num_options": 8,
"seed": 68591275,
"true_count": 3
},
"question": "Given the following boolean expressions:\n\nA. (not ((not (not (not not ((-14 -... |
logic-v2 | 下面是几个布尔表达式：
A. not (not (((-2 * 0 + 1 * 0) > (-10 * 7 - 5 * -1)) or ((3 * -10 * -5 * -3) != (-2 - 2))))
B. not not ((木星是距离太阳第5近的行星。) or ((776是斐波那契数。) or (金星是距离太阳第2近的行星。)))
C. (((2000年奥运会在莫斯科举办。) or ((8 * 2 * 8 * -6) >= (-18 + 13))) and (((19 * 0) != (10 * -5 + -8 * 0)) and ((-1 * -5 + 3 * -3) < (-13 * -16) < (14 - -15... | {
"game_data": {
"answer": "A,B,C",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 3,
"language": "cn",
"num_options": 4,
"seed": 73790874,
"true_count": 3
},
"question": "下面是几个布尔表达式：\n\nA. not (not (((-2 * 0 + 1 * 0) > (-10 * 7 - 5 * -1)) or ((3 * -1... |
logic-v2 | 给定以下布尔表达式：
A. (火星是距离太阳最近的行星。) or (((氮气在常温下是气体。) or (鳟鱼是鱼类。)) or (古巴的首都是开罗。))
B. ((((5 - 15) < (9 * 9 - -8 * 1)) and ((24 % 2) > (7 * 4 + 6 * -10))) and (((14 % 8) <= (10 * 0 + 3 * 7)) or ((14 + -3) == (-14 * -17)))) and (((12 * -8) != (3 - 7)) and ((50 % 8) >= (-10 * 0)))
C. (木星是距离太阳第5近的行星。) or (not not (not (委内瑞拉的首都是... | {
"game_data": {
"answer": "A,B,C,D",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 3,
"language": "cn",
"num_options": 4,
"seed": 82099458,
"true_count": 4
},
"question": "给定以下布尔表达式：\n\nA. (火星是距离太阳最近的行星。) or (((氮气在常温下是气体。) or (鳟鱼是鱼类。)) or (古巴的首都是开罗。... |
logic-v2 | Evaluate the following boolean expressions and select the ones that are true:
A. ((not not (not ((-4 - 9) >= (19 * 2)))) or (((The first airplane flight by the Wright Brothers occurred in 1903.) or (Sound travels faster in a vacuum.)) or (The chemical symbol for Sulfur is Ne.))) and (Air is a liquid at room temperatur... | {
"game_data": {
"answer": "B",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 4,
"language": "en",
"num_options": 3,
"seed": 33030979,
"true_count": 1
},
"question": "Evaluate the following boolean expressions and select the ones that are true:\n\nA.... |
logic-v2 | 请评估以下布尔表达式，选择其中为真的选项：
A. not not ((1 * 1 - 1 * 9) >= (10 * 2 - 0 * 6))
B. ((not (菲律宾的货币是人民币。)) and ((日本位于亚洲。) or ((4 ** 2) > (4 ** 1)))) and ((11 + -8) >= (0 * 7 - 7 * 4)) and ((鸟有6条腿。) or ((7 + 17) <= (-2 * 5 - -7 * -9) <= (-4 * -10 - -10 * 4)))
C. not not (巴西位于北美洲。)
D. ((15 * -8) != (-8 * 7 + 2 * 4)) or (not not (((... | {
"game_data": {
"answer": "D",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 3,
"language": "cn",
"num_options": 4,
"seed": 75315159,
"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 ((1 * 1 - 1 * 9) >= (10 * 2 - 0 * 6))\nB. ((not... |
logic-v2 | 研究以下逻辑语句：
A. (哥伦布到达美洲发生在1492年。) or ((10 + 7) > (4 - -7))
B. not (not (not ((-16 - -10) > (-15 * -2))))
C. not (not (氢的化学符号是K。))
D. not (1946年是闰年。)
E. ((39 % 8) <= (-12 - 18) <= (19 * 19)) or ((铁的化学符号是Na。) or (瑞典的货币是克朗。)) or (((鲨鱼是鱼类。) and (铝的化学符号是U。)) or (((5 ** 1) != (-5 * 3 * 7 * -1)) or (企鹅是鸟类。)))
F. not (第一次世界大战结束... | {
"game_data": {
"answer": "A,B,D,E,F",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 3,
"language": "cn",
"num_options": 7,
"seed": 59661941,
"true_count": 5
},
"question": "研究以下逻辑语句：\n\nA. (哥伦布到达美洲发生在1492年。) or ((10 + 7) > (4 - -7))\nB. not (not (n... |
logic-v2 | 检验这些表达式：
A. ((((4 * 3 * 1 * 8) != (-5 * 5 * 6 * -6)) or ((加拿大的首都是渥太华。) and (哥伦比亚的货币是比索。))) and ((((5 % 4) != (14 + -1)) or (菲律宾的货币是埃及镑。)) and ((氯的化学符号是Hg。) and ((1 * 16) > (47 % 5))))) and (not not ((11 * -16) >= (45 % 2))) and (not (((5 * -9 * -4 * -6) < (5 * -6 + -4 * -1)) and ((希腊的首都是巴黎。) and ((17 * -13) > (14 + 20... | {
"game_data": {
"answer": "B,C,D",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 4,
"language": "cn",
"num_options": 4,
"seed": 29959919,
"true_count": 3
},
"question": "检验这些表达式：\n\nA. ((((4 * 3 * 1 * 8) != (-5 * 5 * 6 * -6)) or ((加拿大的首都是渥太华。) and (... |
logic-v2 | 审视以下逻辑表达式：
A. 阿根廷位于非洲。
B. not ((2016年奥运会在里约热内卢举办。) and (瑞典的首都是波哥大。))
C. ((中国的货币是人民币。) and ((-14 - -2) != (12 * 6))) or (not ((2 ** 2) > (31 % 7)))
哪些表达式为真？在 \boxed{} 中用逗号分隔给出答案。 | {
"game_data": {
"answer": "B,C",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 2,
"language": "cn",
"num_options": 3,
"seed": 98123826,
"true_count": 2
},
"question": "审视以下逻辑表达式：\n\nA. 阿根廷位于非洲。\nB. not ((2016年奥运会在里约热内卢举办。) and (瑞典的首都是波哥大。))\nC. ((中国... |
logic-v2 | Review these logical expressions:
A. (not not ((not (not not (Carbon dioxide is a gas at room temperature.))) or (Light travels faster than sound.) or (The capital of Netherlands is Nairobi.))) and ((not ((((17 + -8) == (13 * 2)) or ((10 * -5) >= (-5 * -2 + 0 * -9))) and (not not ((20 * -12) == (12 + -6))))) or (not (... | {
"game_data": {
"answer": "A,B,F,G",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"depth": 5,
"language": "en",
"num_options": 8,
"seed": 52298724,
"true_count": 4
},
"question": "Review these logical expressions:\n\nA. (not not ((not (not not (Carbon dioxi... |
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