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logic-v2
Define ♢, the rules are as follows: on the real number field, x ♢ y = (y * x) + 5 + x. and ◎, the rules are as follows: on the real number field, x ◎ y = x + x - x / y. and ♡, the rules are as follows: when x is equal to y, x ♡ y = y * x + y * y; otherwise, x ♡ y = (2 * 5 ◎ x) * y. The precedence of operations:...
{ "game_data": { "answer": "99.164903", "difficulty": 1, "gpt_response": "", "metadata": { "closing_sequence": null, "expression": "7 ♢ 8 ◎ 8 ◎ 7 ♡ 3 ♡ 5", "fill_length": null, "full_sequence": null, "is_solvable": null, "language": "english", "n_types": null,...
logic-v2
定义 △,规则如下: 实数域上,x △ y = x - (y) + x。 运算优先级:** = △ > * = / = % > + = -。 括号具有最高优先级,先计算括号内的表达式。 请计算表达式的值: 3 / 4 △ 6 - 4 请将最终答案填入\boxed{}中。
{ "game_data": { "answer": "-2.5", "difficulty": 1, "gpt_response": "", "metadata": { "closing_sequence": null, "expression": "3 / 4 △ 6 - 4", "fill_length": null, "full_sequence": null, "is_solvable": null, "language": "chinese", "n_types": null, "nesti...
logic-v2
定义 ⊕,规则如下: 当x和y都是偶数时,x ⊕ y = abs(x * x) / y; 其他情况下,x ⊕ y = y - x + x。 和 ☆,规则如下: 当x和y都是偶数时,x ☆ y = (y * y) ⊕ x; 其他情况下,x ☆ y = x - y / x。 和 ♢,规则如下: 实数域上,x ♢ y = (y - x) * y。 运算优先级:⊕ > ☆ > ** > * = / = % = ♢ > + = -。 括号具有最高优先级,先计算括号内的表达式。 请计算表达式的值: 8 ☆ 6 ⊕ 6 ⊕ 5 ♢ 7 请将最终答案填入\boxed{}中。
{ "game_data": { "answer": "-2.625", "difficulty": 1, "gpt_response": "", "metadata": { "closing_sequence": null, "expression": "8 ☆ 6 ⊕ 6 ⊕ 5 ♢ 7", "fill_length": null, "full_sequence": null, "is_solvable": null, "language": "chinese", "n_types": null, ...
logic-v2
定义 □,规则如下: 当x和y的和是偶数时,x □ y = y + abs(x + x); 其他情况下,x □ y = x + y / x。 和 ◇,规则如下: 实数域上,x ◇ y = x + y。 运算优先级:◇ > ** > * = / = % > + = - = □。 括号具有最高优先级,先计算括号内的表达式。 请计算表达式的值: 5 □ 1 ◇ 2 请将最终答案填入\boxed{}中。
{ "game_data": { "answer": "13", "difficulty": 1, "gpt_response": "", "metadata": { "closing_sequence": null, "expression": "5 □ 1 ◇ 2", "fill_length": null, "full_sequence": null, "is_solvable": null, "language": "chinese", "n_types": null, "nesting_dep...
logic-v2
定义 ♡,规则如下: 当y是奇数时,x ♡ y = (y) * x; 其他情况下,x ♡ y = (x) - y + y - 3。 和 ⊗,规则如下: 实数域上,x ⊗ y = x - y ** 4 ♡ y。 运算优先级:⊗ > ** > * = / = % = ♡ > + = -。 括号具有最高优先级,先计算括号内的表达式。 请计算表达式的值: 3 ♡ 9 ⊗ 5 请将最终答案填入\boxed{}中。
{ "game_data": { "answer": "0", "difficulty": 1, "gpt_response": "", "metadata": { "closing_sequence": null, "expression": "3 ♡ 9 ⊗ 5", "fill_length": null, "full_sequence": null, "is_solvable": null, "language": "chinese", "n_types": null, "nesting_dept...
logic-v2
定义 ♡,规则如下: 实数域上,x ♡ y = x * (1 - y)。 和 △,规则如下: 实数域上,x △ y = x + y ♡ (x)。 运算优先级:** = ♡ > * = / = % = △ > + = -。 括号具有最高优先级,先计算括号内的表达式。 请计算表达式的值: 1 ♡ 9 请将最终答案填入\boxed{}中。
{ "game_data": { "answer": "-8", "difficulty": 1, "gpt_response": "", "metadata": { "closing_sequence": null, "expression": "1 ♡ 9", "fill_length": null, "full_sequence": null, "is_solvable": null, "language": "chinese", "n_types": null, "nesting_depth":...
logic-v2
定义 ♡,规则如下: 当y是5的倍数时,x ♡ y = 1 * y - x + y + 2; 其他情况下,x ♡ y = y * y - y + x - x。 和 □,规则如下: 当x小于y时,x □ y = y / x + y ♡ x ** 1; 其他情况下,x □ y = x + y * y ♡ y / x。 运算优先级:** = □ > * = / = % > + = - = ♡。 括号具有最高优先级,先计算括号内的表达式。 请计算表达式的值: 1 % 7 ♡ 10 □ 4 请将最终答案填入\boxed{}中。
{ "game_data": { "answer": "0.2976", "difficulty": 1, "gpt_response": "", "metadata": { "closing_sequence": null, "expression": "1 % 7 ♡ 10 □ 4", "fill_length": null, "full_sequence": null, "is_solvable": null, "language": "chinese", "n_types": null, "ne...
logic-v2
Define ⊗, the rules are as follows: on the real number field, x ⊗ y = x + y * 3. and ○, the rules are as follows: when y is odd, x ○ y = x * y + x ⊗ y; otherwise, x ○ y = 1 + y * x. and ◎, the rules are as follows: on the real number field, x ◎ y = y - x + 1 + x. The precedence of operations: ⊗ > ** > * = / = %...
{ "game_data": { "answer": "153", "difficulty": 1, "gpt_response": "", "metadata": { "closing_sequence": null, "expression": "2 ◎ 2 ○ 4 ⊗ 7", "fill_length": null, "full_sequence": null, "is_solvable": null, "language": "english", "n_types": null, "nestin...
logic-v2
定义 ▽,规则如下: 实数域上,x ▽ y = y + (y + x)。 运算优先级:▽ > ** > * = / = % > + = -。 括号具有最高优先级,先计算括号内的表达式。 请计算表达式的值: 1 请将最终答案填入\boxed{}中。
{ "game_data": { "answer": "1", "difficulty": 1, "gpt_response": "", "metadata": { "closing_sequence": null, "expression": "1", "fill_length": null, "full_sequence": null, "is_solvable": null, "language": "chinese", "n_types": null, "nesting_depth": null...
logic-v2
定义 ♡,规则如下: 当y是偶数时,x ♡ y = y - x * y * x * y; 其他情况下,x ♡ y = 1 * (2 - y * x) ** 1。 和 ⊕,规则如下: 实数域上,x ⊕ y = y / y + x ♡ x + x。 运算优先级:♡ > ⊕ > ** > * = / = % > + = -。 括号具有最高优先级,先计算括号内的表达式。 请计算表达式的值: 9 ⊕ 7 / 2 - 6 ♡ 5 请将最终答案填入\boxed{}中。
{ "game_data": { "answer": "-6.5", "difficulty": 1, "gpt_response": "", "metadata": { "closing_sequence": null, "expression": "9 ⊕ 7 / 2 - 6 ♡ 5", "fill_length": null, "full_sequence": null, "is_solvable": null, "language": "chinese", "n_types": null, "n...
logic-v2
Define □, the rules are as follows: on the real number field, x □ y = 5 * x - x * y. and ⊗, the rules are as follows: when x is a multiple of 5, x ⊗ y = (3) * y + 5 + x; otherwise, x ⊗ y = (x * y □ y) + 1. The precedence of operations: □ > ** > * = / = % > + = - = ⊗。 Parentheses have the highest priority, and the...
{ "game_data": { "answer": "6", "difficulty": 1, "gpt_response": "", "metadata": { "closing_sequence": null, "expression": "6 □ 4", "fill_length": null, "full_sequence": null, "is_solvable": null, "language": "english", "n_types": null, "nesting_depth": ...
logic-v2
Define ◎, the rules are as follows: when the sum of x and y is even, x ◎ y = x * abs(y); otherwise, x ◎ y = y + x + y. and ⊙, the rules are as follows: on the real number field, x ⊙ y = y ** x - y. The precedence of operations: ⊙ > ** > * = / = % > + = - = ◎。 Parentheses have the highest priority, and the express...
{ "game_data": { "answer": "5", "difficulty": 1, "gpt_response": "", "metadata": { "closing_sequence": null, "expression": "3 ⊙ 1 ◎ 10 + 5", "fill_length": null, "full_sequence": null, "is_solvable": null, "language": "english", "n_types": null, "nesting...
logic-v2
Define △, the rules are as follows: when the sum of x and y is even, x △ y = y ** 3 - x + x + x; otherwise, x △ y = 5 * x - y / y - x. The precedence of operations: ** > * = / = % > + = - = △。 Parentheses have the highest priority, and the expression inside the parentheses is calculated first. Please calculate the ...
{ "game_data": { "answer": "4", "difficulty": 1, "gpt_response": "", "metadata": { "closing_sequence": null, "expression": "4", "fill_length": null, "full_sequence": null, "is_solvable": null, "language": "english", "n_types": null, "nesting_depth": null...
logic-v2
Define ○, the rules are as follows: on the real number field, x ○ y = y + x - y + y. The precedence of operations: ○ > ** > * = / = % > + = -。 Parentheses have the highest priority, and the expression inside the parentheses is calculated first. Please calculate the value of the expression: 2 ○ 3 Please fill your fina...
{ "game_data": { "answer": "5", "difficulty": 1, "gpt_response": "", "metadata": { "closing_sequence": null, "expression": "2 ○ 3", "fill_length": null, "full_sequence": null, "is_solvable": null, "language": "english", "n_types": null, "nesting_depth": ...
logic-v2
Define ⊗, the rules are as follows: on the real number field, x ⊗ y = (y) * x / 2. and ♡, the rules are as follows: when x is a multiple of 3, x ♡ y = abs(x + y) * y + x; otherwise, x ♡ y = y / x * y ** x. and ⊙, the rules are as follows: on the real number field, x ⊙ y = x - y - y / x. The precedence of operat...
{ "game_data": { "answer": "-1", "difficulty": 1, "gpt_response": "", "metadata": { "closing_sequence": null, "expression": "3 ⊗ 2 ♡ 2 ⊙ 6", "fill_length": null, "full_sequence": null, "is_solvable": null, "language": "english", "n_types": null, "nesting...
logic-v2
Define ⊗, the rules are as follows: when x is greater than y, x ⊗ y = y + y * x; otherwise, x ⊗ y = abs(x / 2 * y + x). and ▽, the rules are as follows: on the real number field, x ▽ y = (y * x - x). and ○, the rules are as follows: on the real number field, x ○ y = y - x - 1 + y. The precedence of operations: ...
{ "game_data": { "answer": "49", "difficulty": 1, "gpt_response": "", "metadata": { "closing_sequence": null, "expression": "5 ▽ 7 ○ 8 ⊗ 8", "fill_length": null, "full_sequence": null, "is_solvable": null, "language": "english", "n_types": null, "nesting...
logic-v2
定义 ⊗,规则如下: 当y是5的倍数时,x ⊗ y = y - x * y; 其他情况下,x ⊗ y = y + x + (x) + y。 和 ▽,规则如下: 实数域上,x ▽ y = (x * x ⊗ y)。 和 ♢,规则如下: 实数域上,x ♢ y = x / y * 2。 运算优先级:▽ > ** > * = / = % = ♢ > + = - = ⊗。 括号具有最高优先级,先计算括号内的表达式。 请计算表达式的值: 1 ⊗ 5 ▽ 10 ♢ 10 请将最终答案填入\boxed{}中。
{ "game_data": { "answer": "-94", "difficulty": 1, "gpt_response": "", "metadata": { "closing_sequence": null, "expression": "1 ⊗ 5 ▽ 10 ♢ 10", "fill_length": null, "full_sequence": null, "is_solvable": null, "language": "chinese", "n_types": null, "nest...
logic-v2
Define △, the rules are as follows: on the real number field, x △ y = y / x - y - x + x. The precedence of operations: △ > ** > * = / = % > + = -。 Parentheses have the highest priority, and the expression inside the parentheses is calculated first. Please calculate the value of the expression: 9 Please fill your fina...
{ "game_data": { "answer": "9", "difficulty": 1, "gpt_response": "", "metadata": { "closing_sequence": null, "expression": "9", "fill_length": null, "full_sequence": null, "is_solvable": null, "language": "english", "n_types": null, "nesting_depth": null...
logic-v2
定义 ♢,规则如下: 当x大于y时,x ♢ y = x * y - y - y; 其他情况下,x ♢ y = y ** x。 和 ♡,规则如下: 当x和y都是偶数时,x ♡ y = y + x - y + x; 其他情况下,x ♡ y = x * y ♢ 2 - y。 和 △,规则如下: 当x和y的和是偶数时,x △ y = (x * y ♡ y); 其他情况下,x △ y = x - y ♡ x * x。 运算优先级:♢ = △ > ** = ♡ > * = / = % > + = -。 括号具有最高优先级,先计算括号内的表达式。 请计算表达式的值: 10 ♡ 5 △ 10 ♢ 5 请将最终答案填入\box...
{ "game_data": { "answer": "10", "difficulty": 1, "gpt_response": "", "metadata": { "closing_sequence": null, "expression": "10 ♡ 5 △ 10 ♢ 5", "fill_length": null, "full_sequence": null, "is_solvable": null, "language": "chinese", "n_types": null, "nesti...
logic-v2
定义 ○,规则如下: 实数域上,x ○ y = y * abs(x + x)。 运算优先级:** = ○ > * = / = % > + = -。 括号具有最高优先级,先计算括号内的表达式。 请计算表达式的值: 7 ○ 8 + 4 请将最终答案填入\boxed{}中。
{ "game_data": { "answer": "116", "difficulty": 1, "gpt_response": "", "metadata": { "closing_sequence": null, "expression": "7 ○ 8 + 4", "fill_length": null, "full_sequence": null, "is_solvable": null, "language": "chinese", "n_types": null, "nesting_de...
logic-v2
定义 ▽,规则如下: 当x是偶数时,x ▽ y = y + x * 5; 其他情况下,x ▽ y = abs(y) * 4 + x / y。 运算优先级:** > * = / = % = ▽ > + = -。 括号具有最高优先级,先计算括号内的表达式。 请计算表达式的值: 10 * 5 ▽ 3 ** 6 请将最终答案填入\boxed{}中。
{ "game_data": { "answer": "979", "difficulty": 1, "gpt_response": "", "metadata": { "closing_sequence": null, "expression": "10 * 5 ▽ 3 ** 6", "fill_length": null, "full_sequence": null, "is_solvable": null, "language": "chinese", "n_types": null, "nest...
logic-v2
定义 ☆,规则如下: 实数域上,x ☆ y = 3 - y / x / 2。 和 ▽,规则如下: 实数域上,x ▽ y = y + y + x - 2 ☆ 3。 运算优先级:** = ☆ = ▽ > * = / = % > + = -。 括号具有最高优先级,先计算括号内的表达式。 请计算表达式的值: 8 ☆ 5 + 10 ▽ 7 请将最终答案填入\boxed{}中。
{ "game_data": { "answer": "24.4375", "difficulty": 1, "gpt_response": "", "metadata": { "closing_sequence": null, "expression": "8 ☆ 5 + 10 ▽ 7", "fill_length": null, "full_sequence": null, "is_solvable": null, "language": "chinese", "n_types": null, "n...
logic-v2
定义 ◎,规则如下: 当x是5的倍数时,x ◎ y = y + x / x; 其他情况下,x ◎ y = y + y * y * x - x。 和 ⊙,规则如下: 当x和y的和是奇数时,x ⊙ y = x ◎ y + y * x; 其他情况下,x ⊙ y = x + (y) - x + y。 运算优先级:⊙ > ** > * = / = % > + = - = ◎。 括号具有最高优先级,先计算括号内的表达式。 请计算表达式的值: 4 ⊙ 2 ◎ 5 / 4 请将最终答案填入\boxed{}中。
{ "game_data": { "answer": "3.5", "difficulty": 1, "gpt_response": "", "metadata": { "closing_sequence": null, "expression": "4 ⊙ 2 ◎ 5 / 4", "fill_length": null, "full_sequence": null, "is_solvable": null, "language": "chinese", "n_types": null, "nestin...
logic-v2
Define ◎, the rules are as follows: on the real number field, x ◎ y = 3 * abs(y ** x). and □, the rules are as follows: when x is greater than y, x □ y = 5 + x / y; otherwise, x □ y = x - y + x. The precedence of operations: ** > * = / = % = □ > + = - = ◎。 Parentheses have the highest priority, and the expression...
{ "game_data": { "answer": "27", "difficulty": 1, "gpt_response": "", "metadata": { "closing_sequence": null, "expression": "2 ◎ 3", "fill_length": null, "full_sequence": null, "is_solvable": null, "language": "english", "n_types": null, "nesting_depth":...
logic-v2
定义 ◎,规则如下: 当x等于y时,x ◎ y = y * x; 其他情况下,x ◎ y = x - y + x。 和 ⊙,规则如下: 实数域上,x ⊙ y = y + x * 1。 运算优先级:** > * = / = % = ◎ = ⊙ > + = -。 括号具有最高优先级,先计算括号内的表达式。 请计算表达式的值: 9 % 1 ◎ 3 ⊙ 8 请将最终答案填入\boxed{}中。
{ "game_data": { "answer": "5", "difficulty": 1, "gpt_response": "", "metadata": { "closing_sequence": null, "expression": "9 % 1 ◎ 3 ⊙ 8", "fill_length": null, "full_sequence": null, "is_solvable": null, "language": "chinese", "n_types": null, "nesting_...
logic-v2
定义 ◎,规则如下: 实数域上,x ◎ y = x * 4 + y - y - y。 和 △,规则如下: 当y是5的倍数时,x △ y = (4 - y) * x + y; 其他情况下,x △ y = y * y - x - 4 - abs(y)。 运算优先级:** > * = / = % = △ > + = - = ◎。 括号具有最高优先级,先计算括号内的表达式。 请计算表达式的值: 5 ◎ 3 △ 4 △ 8 请将最终答案填入\boxed{}中。
{ "game_data": { "answer": "-27", "difficulty": 1, "gpt_response": "", "metadata": { "closing_sequence": null, "expression": "5 ◎ 3 △ 4 △ 8", "fill_length": null, "full_sequence": null, "is_solvable": null, "language": "chinese", "n_types": null, "nestin...
logic-v2
定义 ♡,规则如下: 实数域上,x ♡ y = x + y。 和 ◎,规则如下: 当y是偶数时,x ◎ y = x + abs(y) / x; 其他情况下,x ◎ y = y ♡ x + y。 运算优先级:♡ = ◎ > ** > * = / = % > + = -。 括号具有最高优先级,先计算括号内的表达式。 请计算表达式的值: 1 ♡ 8 ◎ 1 请将最终答案填入\boxed{}中。
{ "game_data": { "answer": "11", "difficulty": 1, "gpt_response": "", "metadata": { "closing_sequence": null, "expression": "1 ♡ 8 ◎ 1", "fill_length": null, "full_sequence": null, "is_solvable": null, "language": "chinese", "n_types": null, "nesting_dep...
logic-v2
Define ⊙, the rules are as follows: on the real number field, x ⊙ y = y - x - y - y. and ♢, the rules are as follows: when y is odd, x ♢ y = x - 3 * x ⊙ y; otherwise, x ♢ y = y + x + y ** x. and △, the rules are as follows: when y is odd, x △ y = y ⊙ 2 / 5 + x; otherwise, x △ y = y ⊙ 3 * x * x. The precedence...
{ "game_data": { "answer": "-13.6", "difficulty": 1, "gpt_response": "", "metadata": { "closing_sequence": null, "expression": "10 ♢ 7 △ 3 ⊙ 4", "fill_length": null, "full_sequence": null, "is_solvable": null, "language": "english", "n_types": null, "nes...
logic-v2
定义 ▽,规则如下: 当x是偶数时,x ▽ y = 5 + x + y; 其他情况下,x ▽ y = y + x - x + y。 运算优先级:▽ > ** > * = / = % > + = -。 括号具有最高优先级,先计算括号内的表达式。 请计算表达式的值: 1 / 7 ▽ 10 请将最终答案填入\boxed{}中。
{ "game_data": { "answer": "0.05", "difficulty": 1, "gpt_response": "", "metadata": { "closing_sequence": null, "expression": "1 / 7 ▽ 10", "fill_length": null, "full_sequence": null, "is_solvable": null, "language": "chinese", "n_types": null, "nesting_...
logic-v2
定义 ○,规则如下: 当x和y都是奇数时,x ○ y = x * 3 + y; 其他情况下,x ○ y = x + (x * y)。 运算优先级:○ > ** > * = / = % > + = -。 括号具有最高优先级,先计算括号内的表达式。 请计算表达式的值: 4 请将最终答案填入\boxed{}中。
{ "game_data": { "answer": "4", "difficulty": 1, "gpt_response": "", "metadata": { "closing_sequence": null, "expression": "4", "fill_length": null, "full_sequence": null, "is_solvable": null, "language": "chinese", "n_types": null, "nesting_depth": null...
logic-v2
定义 ○,规则如下: 实数域上,x ○ y = y - abs(y / x)。 和 △,规则如下: 实数域上,x △ y = y * y ** x。 运算优先级:** = ○ = △ > * = / = % > + = -。 括号具有最高优先级,先计算括号内的表达式。 请计算表达式的值: 5 ○ 4 请将最终答案填入\boxed{}中。
{ "game_data": { "answer": "3.2", "difficulty": 1, "gpt_response": "", "metadata": { "closing_sequence": null, "expression": "5 ○ 4", "fill_length": null, "full_sequence": null, "is_solvable": null, "language": "chinese", "n_types": null, "nesting_depth"...
logic-v2
Define ⊗, the rules are as follows: on the real number field, x ⊗ y = y / x + x. and ⊙, the rules are as follows: when y is a multiple of 3, x ⊙ y = x ⊗ x - y; otherwise, x ⊙ y = x ⊗ y. and △, the rules are as follows: on the real number field, x △ y = y + x ⊙ y. The precedence of operations: △ > ** > * = / = %...
{ "game_data": { "answer": "7.375", "difficulty": 1, "gpt_response": "", "metadata": { "closing_sequence": null, "expression": "5 △ 9 ⊗ 8 ⊙ 2", "fill_length": null, "full_sequence": null, "is_solvable": null, "language": "english", "n_types": null, "nest...
logic-v2
定义 ⊙,规则如下: 当x和y都是奇数时,x ⊙ y = x - y + x; 其他情况下,x ⊙ y = 1 * y + x。 和 △,规则如下: 当y是5的倍数时,x △ y = y + x + y; 其他情况下,x △ y = y / (y + x)。 和 ☆,规则如下: 实数域上,x ☆ y = y * y + x。 运算优先级:** > * = / = % = △ > + = - = ⊙ = ☆。 括号具有最高优先级,先计算括号内的表达式。 请计算表达式的值: 1 ⊙ 7 ** 6 △ 9 ☆ 5 请将最终答案填入\boxed{}中。
{ "game_data": { "answer": "26.000076", "difficulty": 1, "gpt_response": "", "metadata": { "closing_sequence": null, "expression": "1 ⊙ 7 ** 6 △ 9 ☆ 5", "fill_length": null, "full_sequence": null, "is_solvable": null, "language": "chinese", "n_types": null, ...
logic-v2
Define □, the rules are as follows: when x is even, x □ y = y + 2 + x; otherwise, x □ y = y + x. and ☆, the rules are as follows: on the real number field, x ☆ y = x + y + x. The precedence of operations: ☆ > ** = □ > * = / = % > + = -。 Parentheses have the highest priority, and the expression inside the parenthe...
{ "game_data": { "answer": "12", "difficulty": 1, "gpt_response": "", "metadata": { "closing_sequence": null, "expression": "5 □ 7", "fill_length": null, "full_sequence": null, "is_solvable": null, "language": "english", "n_types": null, "nesting_depth":...
logic-v2
定义 □,规则如下: 实数域上,x □ y = y - x * (5) / x。 和 ⊗,规则如下: 当x和y的和是奇数时,x ⊗ y = x / y ** 3; 其他情况下,x ⊗ y = y □ y + x ** x - y。 运算优先级:□ > ⊗ > ** > * = / = % > + = -。 括号具有最高优先级,先计算括号内的表达式。 请计算表达式的值: 10 □ 5 请将最终答案填入\boxed{}中。
{ "game_data": { "answer": "0", "difficulty": 1, "gpt_response": "", "metadata": { "closing_sequence": null, "expression": "10 □ 5", "fill_length": null, "full_sequence": null, "is_solvable": null, "language": "chinese", "n_types": null, "nesting_depth":...
logic-v2
Define ♡, the rules are as follows: on the real number field, x ♡ y = x - x - y * x - y. and △, the rules are as follows: on the real number field, x △ y = x / (y) - x + y / x. The precedence of operations: ** > * = / = % > + = - = ♡ = △。 Parentheses have the highest priority, and the expression inside the parenthe...
{ "game_data": { "answer": "-6.366667", "difficulty": 1, "gpt_response": "", "metadata": { "closing_sequence": null, "expression": "10 △ 3", "fill_length": null, "full_sequence": null, "is_solvable": null, "language": "english", "n_types": null, "nesting...
logic-v2
定义 ♢,规则如下: 实数域上,x ♢ y = 2 / y - x。 和 ◇,规则如下: 实数域上,x ◇ y = y * y ♢ x。 和 ♡,规则如下: 实数域上,x ♡ y = y * abs(x + x)。 运算优先级:♢ = ♡ > ◇ > ** > * = / = % > + = -。 括号具有最高优先级,先计算括号内的表达式。 请计算表达式的值: 5 ♢ 8 ♡ 3 ◇ 9 请将最终答案填入\boxed{}中。
{ "game_data": { "answer": "-80.368421", "difficulty": 1, "gpt_response": "", "metadata": { "closing_sequence": null, "expression": "5 ♢ 8 ♡ 3 ◇ 9", "fill_length": null, "full_sequence": null, "is_solvable": null, "language": "chinese", "n_types": null, ...
logic-v2
定义 ⊕,规则如下: 当y是5的倍数时,x ⊕ y = x + y - 3 * x; 其他情况下,x ⊕ y = 2 ** y / x * y。 和 ◎,规则如下: 当x是偶数时,x ◎ y = x / (y); 其他情况下,x ◎ y = (2) * x - 3 * y。 和 □,规则如下: 当x小于y时,x □ y = y ◎ x * x + y; 其他情况下,x □ y = x ◎ y - 2 / 2。 运算优先级:◎ > ** > * = / = % = □ > + = - = ⊕。 括号具有最高优先级,先计算括号内的表达式。 请计算表达式的值: 1 ◎ 6 □ 6 请将最终答案填入\boxed{}中...
{ "game_data": { "answer": "12", "difficulty": 1, "gpt_response": "", "metadata": { "closing_sequence": null, "expression": "1 ◎ 6 □ 6", "fill_length": null, "full_sequence": null, "is_solvable": null, "language": "chinese", "n_types": null, "nesting_dep...
logic-v2
定义 ☆,规则如下: 当y是5的倍数时,x ☆ y = x - (x) - y; 其他情况下,x ☆ y = y + y - x。 和 ◎,规则如下: 当y是奇数时,x ◎ y = y + x - x; 其他情况下,x ◎ y = x + y * x。 运算优先级:☆ = ◎ > ** > * = / = % > + = -。 括号具有最高优先级,先计算括号内的表达式。 请计算表达式的值: 10 ☆ 6 * 3 * 7 ◎ 9 请将最终答案填入\boxed{}中。
{ "game_data": { "answer": "54", "difficulty": 1, "gpt_response": "", "metadata": { "closing_sequence": null, "expression": "10 ☆ 6 * 3 * 7 ◎ 9", "fill_length": null, "full_sequence": null, "is_solvable": null, "language": "chinese", "n_types": null, "ne...
logic-v2
Define ♢, the rules are as follows: when y is a multiple of 5, x ♢ y = x + y - (5); otherwise, x ♢ y = y + abs(x). and △, the rules are as follows: when x is equal to y, x △ y = x ♢ y; otherwise, x △ y = y - y - x. and ♡, the rules are as follows: on the real number field, x ♡ y = (y - x * y). The precedence ...
{ "game_data": { "answer": "21952", "difficulty": 1, "gpt_response": "", "metadata": { "closing_sequence": null, "expression": "8 ♡ 2 ** 3 * 8 △ 8 ♢ 4", "fill_length": null, "full_sequence": null, "is_solvable": null, "language": "english", "n_types": null, ...
logic-v2
定义 ♡,规则如下: 当x和y的和是奇数时,x ♡ y = abs(1 + y) / x; 其他情况下,x ♡ y = (x + y - y * y) + x。 和 ☆,规则如下: 当x小于y时,x ☆ y = y - y * x - y ♡ x; 其他情况下,x ☆ y = (2 + x + 5) + y * x。 运算优先级:♡ > ** = ☆ > * = / = % > + = -。 括号具有最高优先级,先计算括号内的表达式。 请计算表达式的值: 10 ☆ 8 请将最终答案填入\boxed{}中。
{ "game_data": { "answer": "97", "difficulty": 1, "gpt_response": "", "metadata": { "closing_sequence": null, "expression": "10 ☆ 8", "fill_length": null, "full_sequence": null, "is_solvable": null, "language": "chinese", "n_types": null, "nesting_depth"...
logic-v2
Define ♢, the rules are as follows: when y is odd, x ♢ y = 1 / 4 + y + x - y; otherwise, x ♢ y = x + abs(x + y) + x - x. and ⊗, the rules are as follows: on the real number field, x ⊗ y = y + x / abs(y * y - x). and ⊙, the rules are as follows: on the real number field, x ⊙ y = y * 4 * x + y + x. The precedence...
{ "game_data": { "answer": "6.186567", "difficulty": 1, "gpt_response": "", "metadata": { "closing_sequence": null, "expression": "4 ♢ 4 ⊙ 3 ⊗ 5", "fill_length": null, "full_sequence": null, "is_solvable": null, "language": "english", "n_types": null, "n...
logic-v2
定义 ⊕,规则如下: 当x和y的和是偶数时,x ⊕ y = y + x - y; 其他情况下,x ⊕ y = 2 - (x - x) + y。 和 ○,规则如下: 当x是5的倍数时,x ○ y = y / x ⊕ y * x; 其他情况下,x ○ y = x ⊕ y + x - x。 和 ◎,规则如下: 当x等于y时,x ◎ y = y - x ⊕ y + y; 其他情况下,x ◎ y = (x + y * x) * y。 运算优先级:◎ > ⊕ > ** > * = / = % = ○ > + = -。 括号具有最高优先级,先计算括号内的表达式。 请计算表达式的值: 6 ◎ 4 ○ 3 ⊕ 5 请将最终答案...
{ "game_data": { "answer": "72", "difficulty": 1, "gpt_response": "", "metadata": { "closing_sequence": null, "expression": "6 ◎ 4 ○ 3 ⊕ 5", "fill_length": null, "full_sequence": null, "is_solvable": null, "language": "chinese", "n_types": null, "nesting...
logic-v2
定义 ♢,规则如下: 当x是奇数时,x ♢ y = x - y + y; 其他情况下,x ♢ y = x + y - y。 和 ⊙,规则如下: 当y是奇数时,x ⊙ y = y + (x ♢ 3); 其他情况下,x ⊙ y = y * abs(y * x)。 和 ◇,规则如下: 实数域上,x ◇ y = y + x ♢ y。 运算优先级:** = ♢ > * = / = % = ◇ > + = - = ⊙。 括号具有最高优先级,先计算括号内的表达式。 请计算表达式的值: 8 ◇ 8 ⊙ 8 请将最终答案填入\boxed{}中。
{ "game_data": { "answer": "1024", "difficulty": 1, "gpt_response": "", "metadata": { "closing_sequence": null, "expression": "8 ◇ 8 ⊙ 8", "fill_length": null, "full_sequence": null, "is_solvable": null, "language": "chinese", "n_types": null, "nesting_d...
logic-v2
Define ☆, the rules are as follows: on the real number field, x ☆ y = y * abs(x - 2). and ○, the rules are as follows: on the real number field, x ○ y = y ☆ x / y. The precedence of operations: ○ > ** > * = / = % > + = - = ☆。 Parentheses have the highest priority, and the expression inside the parentheses is calcul...
{ "game_data": { "answer": "0", "difficulty": 1, "gpt_response": "", "metadata": { "closing_sequence": null, "expression": "2 ☆ 10 ○ 3", "fill_length": null, "full_sequence": null, "is_solvable": null, "language": "english", "n_types": null, "nesting_dep...
logic-v2
Define ○, the rules are as follows: when x is even, x ○ y = x + y + x * y - x; otherwise, x ○ y = y + x * x - y - x. The precedence of operations: ○ > ** > * = / = % > + = -。 Parentheses have the highest priority, and the expression inside the parentheses is calculated first. Please calculate the value of the expre...
{ "game_data": { "answer": "72", "difficulty": 1, "gpt_response": "", "metadata": { "closing_sequence": null, "expression": "9 ○ 6", "fill_length": null, "full_sequence": null, "is_solvable": null, "language": "english", "n_types": null, "nesting_depth":...
logic-v2
定义 ◎,规则如下: 当x是偶数时,x ◎ y = x * y; 其他情况下,x ◎ y = y + x。 和 ⊕,规则如下: 实数域上,x ⊕ y = (y + x / y)。 运算优先级:** = ◎ = ⊕ > * = / = % > + = -。 括号具有最高优先级,先计算括号内的表达式。 请计算表达式的值: 3 ⊕ 9 ◎ 3 % 6 请将最终答案填入\boxed{}中。
{ "game_data": { "answer": "0.333333", "difficulty": 1, "gpt_response": "", "metadata": { "closing_sequence": null, "expression": "3 ⊕ 9 ◎ 3 % 6", "fill_length": null, "full_sequence": null, "is_solvable": null, "language": "chinese", "n_types": null, "n...
logic-v2
定义 ▽,规则如下: 当x大于y时,x ▽ y = y * x; 其他情况下,x ▽ y = abs(y + y * x)。 运算优先级:▽ > ** > * = / = % > + = -。 括号具有最高优先级,先计算括号内的表达式。 请计算表达式的值: 1 ** 5 ** 5 ▽ 7 请将最终答案填入\boxed{}中。
{ "game_data": { "answer": "1", "difficulty": 1, "gpt_response": "", "metadata": { "closing_sequence": null, "expression": "1 ** 5 ** 5 ▽ 7", "fill_length": null, "full_sequence": null, "is_solvable": null, "language": "chinese", "n_types": null, "nestin...
logic-v2
Define ▽, the rules are as follows: when x is a multiple of 5, x ▽ y = y ** 3 * x - y; otherwise, x ▽ y = y - x - 2 - y. The precedence of operations: ** = ▽ > * = / = % > + = -。 Parentheses have the highest priority, and the expression inside the parentheses is calculated first. Please calculate the value of the e...
{ "game_data": { "answer": "-6", "difficulty": 1, "gpt_response": "", "metadata": { "closing_sequence": null, "expression": "4 ▽ 6 / 10 * 10", "fill_length": null, "full_sequence": null, "is_solvable": null, "language": "english", "n_types": null, "nesti...
logic-v2
Define ☆, the rules are as follows: on the real number field, x ☆ y = y + x * x. and ○, the rules are as follows: on the real number field, x ○ y = y * (x) * y. The precedence of operations: ○ > ** > * = / = % = ☆ > + = -。 Parentheses have the highest priority, and the expression inside the parentheses is calculate...
{ "game_data": { "answer": "336", "difficulty": 1, "gpt_response": "", "metadata": { "closing_sequence": null, "expression": "4 ☆ 5 ○ 8", "fill_length": null, "full_sequence": null, "is_solvable": null, "language": "english", "n_types": null, "nesting_de...
logic-v2
定义 ⊙,规则如下: 实数域上,x ⊙ y = x * x + y。 和 ◎,规则如下: 当y是奇数时,x ◎ y = x * y - 5; 其他情况下,x ◎ y = y + x + x。 和 ▽,规则如下: 实数域上,x ▽ y = x ◎ x + y。 运算优先级:** = ⊙ = ◎ > * = / = % = ▽ > + = -。 括号具有最高优先级,先计算括号内的表达式。 请计算表达式的值: 9 ▽ 5 ⊙ 5 ◎ 8 请将最终答案填入\boxed{}中。
{ "game_data": { "answer": "144", "difficulty": 1, "gpt_response": "", "metadata": { "closing_sequence": null, "expression": "9 ▽ 5 ⊙ 5 ◎ 8", "fill_length": null, "full_sequence": null, "is_solvable": null, "language": "chinese", "n_types": null, "nestin...
logic-v2
Define ◇, the rules are as follows: on the real number field, x ◇ y = y - x - 5 * y. The precedence of operations: ** > * = / = % = ◇ > + = -。 Parentheses have the highest priority, and the expression inside the parentheses is calculated first. Please calculate the value of the expression: 5 / 4 ◇ 5 Please fill your ...
{ "game_data": { "answer": "-21.25", "difficulty": 1, "gpt_response": "", "metadata": { "closing_sequence": null, "expression": "5 / 4 ◇ 5", "fill_length": null, "full_sequence": null, "is_solvable": null, "language": "english", "n_types": null, "nesting...
logic-v2
Define ⊙, the rules are as follows: when the sum of x and y is odd, x ⊙ y = 2 + x - y + x; otherwise, x ⊙ y = 1 * y ** x / y + x. and ⊗, the rules are as follows: on the real number field, x ⊗ y = (x / y * x / x). and ◎, the rules are as follows: on the real number field, x ◎ y = 1 - x - y ⊙ 2. The precedence o...
{ "game_data": { "answer": "4.443802", "difficulty": 1, "gpt_response": "", "metadata": { "closing_sequence": null, "expression": "5 ⊗ 7 ◎ 3 + 2 ⊙ 4", "fill_length": null, "full_sequence": null, "is_solvable": null, "language": "english", "n_types": null, ...
logic-v2
定义 ⊙,规则如下: 实数域上,x ⊙ y = y + x + x * 3。 和 ♡,规则如下: 当y是奇数时,x ♡ y = x + y; 其他情况下,x ♡ y = x - abs(x * y + y)。 和 ◇,规则如下: 当x小于y时,x ◇ y = y - y + y * x; 其他情况下,x ◇ y = y ♡ y - x * y。 运算优先级:♡ > ⊙ > ** > * = / = % > + = - = ◇。 括号具有最高优先级,先计算括号内的表达式。 请计算表达式的值: 6 ♡ 5 ⊙ 2 请将最终答案填入\boxed{}中。
{ "game_data": { "answer": "46", "difficulty": 1, "gpt_response": "", "metadata": { "closing_sequence": null, "expression": "6 ♡ 5 ⊙ 2", "fill_length": null, "full_sequence": null, "is_solvable": null, "language": "chinese", "n_types": null, "nesting_dep...
logic-v2
Define □, the rules are as follows: when x is a multiple of 5, x □ y = y - (x + x) ** y * y; otherwise, x □ y = abs(y / y * x * x). and ☆, the rules are as follows: when y is a multiple of 3, x ☆ y = (x - y + x) + y □ x; otherwise, x ☆ y = x - x - x □ y. The precedence of operations: □ > ** > * = / = % > + = - ...
{ "game_data": { "answer": "-49", "difficulty": 1, "gpt_response": "", "metadata": { "closing_sequence": null, "expression": "7 ☆ 7", "fill_length": null, "full_sequence": null, "is_solvable": null, "language": "english", "n_types": null, "nesting_depth"...
logic-v2
定义 ♡,规则如下: 实数域上,x ♡ y = x / y。 和 ◎,规则如下: 实数域上,x ◎ y = (x + x ♡ y)。 运算优先级:** = ♡ > * = / = % > + = - = ◎。 括号具有最高优先级,先计算括号内的表达式。 请计算表达式的值: 3 ◎ 2 ♡ 6 + 3 请将最终答案填入\boxed{}中。
{ "game_data": { "answer": "15", "difficulty": 1, "gpt_response": "", "metadata": { "closing_sequence": null, "expression": "3 ◎ 2 ♡ 6 + 3", "fill_length": null, "full_sequence": null, "is_solvable": null, "language": "chinese", "n_types": null, "nesting...
logic-v2
定义 ▽,规则如下: 当x和y的和是奇数时,x ▽ y = y - x - (y); 其他情况下,x ▽ y = x * x * y。 运算优先级:** > * = / = % = ▽ > + = -。 括号具有最高优先级,先计算括号内的表达式。 请计算表达式的值: 8 ▽ 3 请将最终答案填入\boxed{}中。
{ "game_data": { "answer": "-8", "difficulty": 1, "gpt_response": "", "metadata": { "closing_sequence": null, "expression": "8 ▽ 3", "fill_length": null, "full_sequence": null, "is_solvable": null, "language": "chinese", "n_types": null, "nesting_depth":...
logic-v2
Define □, the rules are as follows: on the real number field, x □ y = y - x * 3. and ♢, the rules are as follows: when x is less than y, x ♢ y = 5 + x □ y; otherwise, x ♢ y = x * y * x. The precedence of operations: □ = ♢ > ** > * = / = % > + = -。 Parentheses have the highest priority, and the expression inside t...
{ "game_data": { "answer": "5", "difficulty": 1, "gpt_response": "", "metadata": { "closing_sequence": null, "expression": "5 □ 3 □ 9 ♢ 7 % 10", "fill_length": null, "full_sequence": null, "is_solvable": null, "language": "english", "n_types": null, "nes...
logic-v2
定义 ○,规则如下: 实数域上,x ○ y = x - 2 / y。 运算优先级:** > * = / = % > + = - = ○。 括号具有最高优先级,先计算括号内的表达式。 请计算表达式的值: 5 ○ 9 请将最终答案填入\boxed{}中。
{ "game_data": { "answer": "4.777778", "difficulty": 1, "gpt_response": "", "metadata": { "closing_sequence": null, "expression": "5 ○ 9", "fill_length": null, "full_sequence": null, "is_solvable": null, "language": "chinese", "n_types": null, "nesting_d...
logic-v2
Define ☆, the rules are as follows: on the real number field, x ☆ y = 4 + 4 - 4 - y ** x. The precedence of operations: ☆ > ** > * = / = % > + = -。 Parentheses have the highest priority, and the expression inside the parentheses is calculated first. Please calculate the value of the expression: 3 ☆ 4 % 1 * 2 Please f...
{ "game_data": { "answer": "0", "difficulty": 1, "gpt_response": "", "metadata": { "closing_sequence": null, "expression": "3 ☆ 4 % 1 * 2", "fill_length": null, "full_sequence": null, "is_solvable": null, "language": "english", "n_types": null, "nesting_...
logic-v2
Define ☆, the rules are as follows: when the sum of x and y is odd, x ☆ y = y / x - y; otherwise, x ☆ y = x * y. and ◇, the rules are as follows: when y is a multiple of 5, x ◇ y = abs(x + y) + y; otherwise, x ◇ y = x * (x) - y. The precedence of operations: ◇ > ☆ > ** > * = / = % > + = -。 Parentheses have the ...
{ "game_data": { "answer": "-1.6", "difficulty": 1, "gpt_response": "", "metadata": { "closing_sequence": null, "expression": "5 ☆ 2", "fill_length": null, "full_sequence": null, "is_solvable": null, "language": "english", "n_types": null, "nesting_depth...
logic-v2
Define ◎, the rules are as follows: when x is even, x ◎ y = y * x * y * x - x; otherwise, x ◎ y = x - 5 * 3 - x * y. The precedence of operations: ** = ◎ > * = / = % > + = -。 Parentheses have the highest priority, and the expression inside the parentheses is calculated first. Please calculate the value of the expre...
{ "game_data": { "answer": "-101", "difficulty": 1, "gpt_response": "", "metadata": { "closing_sequence": null, "expression": "9 ◎ 10 - 5", "fill_length": null, "full_sequence": null, "is_solvable": null, "language": "english", "n_types": null, "nesting_...
logic-v2
定义 ◎,规则如下: 当x和y都是奇数时,x ◎ y = (x) * y; 其他情况下,x ◎ y = x * 4 - y。 和 ⊗,规则如下: 实数域上,x ⊗ y = x - y * y。 运算优先级:⊗ > ** > * = / = % > + = - = ◎。 括号具有最高优先级,先计算括号内的表达式。 请计算表达式的值: 5 - 8 ⊗ 1 ◎ 10 请将最终答案填入\boxed{}中。
{ "game_data": { "answer": "-18", "difficulty": 1, "gpt_response": "", "metadata": { "closing_sequence": null, "expression": "5 - 8 ⊗ 1 ◎ 10", "fill_length": null, "full_sequence": null, "is_solvable": null, "language": "chinese", "n_types": null, "nesti...
logic-v2
定义 △,规则如下: 实数域上,x △ y = y - x * x。 运算优先级:** = △ > * = / = % > + = -。 括号具有最高优先级,先计算括号内的表达式。 请计算表达式的值: 10 * 6 △ 10 请将最终答案填入\boxed{}中。
{ "game_data": { "answer": "-260", "difficulty": 1, "gpt_response": "", "metadata": { "closing_sequence": null, "expression": "10 * 6 △ 10", "fill_length": null, "full_sequence": null, "is_solvable": null, "language": "chinese", "n_types": null, "nesting...
logic-v2
定义 □,规则如下: 当x和y都是偶数时,x □ y = x + y * 3 * 5 * y; 其他情况下,x □ y = 1 * x * y + x * x。 和 △,规则如下: 实数域上,x △ y = x * 4 / 3 □ 2 * y。 运算优先级:△ > ** > * = / = % > + = - = □。 括号具有最高优先级,先计算括号内的表达式。 请计算表达式的值: 9 △ 6 请将最终答案填入\boxed{}中。
{ "game_data": { "answer": "288", "difficulty": 1, "gpt_response": "", "metadata": { "closing_sequence": null, "expression": "9 △ 6", "fill_length": null, "full_sequence": null, "is_solvable": null, "language": "chinese", "n_types": null, "nesting_depth"...
logic-v2
Define ○, the rules are as follows: on the real number field, x ○ y = x - y + (3 + x). The precedence of operations: ** > * = / = % > + = - = ○。 Parentheses have the highest priority, and the expression inside the parentheses is calculated first. Please calculate the value of the expression: 1 % 1 ○ 10 Please fill yo...
{ "game_data": { "answer": "-7", "difficulty": 1, "gpt_response": "", "metadata": { "closing_sequence": null, "expression": "1 % 1 ○ 10", "fill_length": null, "full_sequence": null, "is_solvable": null, "language": "english", "n_types": null, "nesting_de...
logic-v2
Define ◇, the rules are as follows: on the real number field, x ◇ y = y / 2 / y - x * x. The precedence of operations: ◇ > ** > * = / = % > + = -。 Parentheses have the highest priority, and the expression inside the parentheses is calculated first. Please calculate the value of the expression: 7 ◇ 6 * 9 Please fill y...
{ "game_data": { "answer": "-436.5", "difficulty": 1, "gpt_response": "", "metadata": { "closing_sequence": null, "expression": "7 ◇ 6 * 9", "fill_length": null, "full_sequence": null, "is_solvable": null, "language": "english", "n_types": null, "nesting...
logic-v2
Define ☆, the rules are as follows: on the real number field, x ☆ y = x + abs(y - x). and □, the rules are as follows: when y is a multiple of 3, x □ y = y * 5 + x; otherwise, x □ y = y + x. The precedence of operations: ** = □ > * = / = % > + = - = ☆。 Parentheses have the highest priority, and the expression ins...
{ "game_data": { "answer": "3", "difficulty": 1, "gpt_response": "", "metadata": { "closing_sequence": null, "expression": "2 ☆ 1", "fill_length": null, "full_sequence": null, "is_solvable": null, "language": "english", "n_types": null, "nesting_depth": ...
logic-v2
Define ○, the rules are as follows: when x and y are both odd, x ○ y = y + y / x - y; otherwise, x ○ y = (x + x * y + y) - y. The precedence of operations: ○ > ** > * = / = % > + = -。 Parentheses have the highest priority, and the expression inside the parentheses is calculated first. Please calculate the value of ...
{ "game_data": { "answer": "6", "difficulty": 1, "gpt_response": "", "metadata": { "closing_sequence": null, "expression": "6", "fill_length": null, "full_sequence": null, "is_solvable": null, "language": "english", "n_types": null, "nesting_depth": null...
logic-v2
Define ☆, the rules are as follows: when y is even, x ☆ y = y - x + x * y + 4; otherwise, x ☆ y = x - (y - x - y) + x. and ♡, the rules are as follows: on the real number field, x ♡ y = x / y - x. The precedence of operations: ** = ☆ > * = / = % = ♡ > + = -。 Parentheses have the highest priority, and the expressi...
{ "game_data": { "answer": "0", "difficulty": 1, "gpt_response": "", "metadata": { "closing_sequence": null, "expression": "3 ☆ 5 ♡ 1 ♡ 10", "fill_length": null, "full_sequence": null, "is_solvable": null, "language": "english", "n_types": null, "nesting...
logic-v2
Define ◇, the rules are as follows: on the real number field, x ◇ y = y - y + x * y + y. and □, the rules are as follows: on the real number field, x □ y = y - y + x - 5 + y. and ♢, the rules are as follows: when x and y are both odd, x ♢ y = y / 1 / y + x; otherwise, x ♢ y = x * y / y □ y + y. The precedence o...
{ "game_data": { "answer": "54", "difficulty": 1, "gpt_response": "", "metadata": { "closing_sequence": null, "expression": "5 ◇ 9 □ 5", "fill_length": null, "full_sequence": null, "is_solvable": null, "language": "english", "n_types": null, "nesting_dep...
logic-v2
定义 ♡,规则如下: 当y是奇数时,x ♡ y = 4 / x + y * x; 其他情况下,x ♡ y = x * x / y / x。 和 ◎,规则如下: 当x是3的倍数时,x ◎ y = y ♡ 4 + x; 其他情况下,x ◎ y = y + x + 2。 运算优先级:** > * = / = % = ◎ > + = - = ♡。 括号具有最高优先级,先计算括号内的表达式。 请计算表达式的值: 9 ♡ 4 ◎ 2 请将最终答案填入\boxed{}中。
{ "game_data": { "answer": "1.125", "difficulty": 1, "gpt_response": "", "metadata": { "closing_sequence": null, "expression": "9 ♡ 4 ◎ 2", "fill_length": null, "full_sequence": null, "is_solvable": null, "language": "chinese", "n_types": null, "nesting_...
logic-v2
定义 ☆,规则如下: 当x和y都是奇数时,x ☆ y = (x) - y - x; 其他情况下,x ☆ y = x * y。 和 ⊗,规则如下: 实数域上,x ⊗ y = (y - 3) * x。 和 ○,规则如下: 实数域上,x ○ y = y ** y * x。 运算优先级:⊗ > ☆ = ○ > ** > * = / = % > + = -。 括号具有最高优先级,先计算括号内的表达式。 请计算表达式的值: 7 ○ 8 ☆ 3 ⊗ 3 请将最终答案填入\boxed{}中。
{ "game_data": { "answer": "0", "difficulty": 1, "gpt_response": "", "metadata": { "closing_sequence": null, "expression": "7 ○ 8 ☆ 3 ⊗ 3", "fill_length": null, "full_sequence": null, "is_solvable": null, "language": "chinese", "n_types": null, "nesting_...
logic-v2
定义 ♡,规则如下: 实数域上,x ♡ y = 3 + x * y。 和 ○,规则如下: 当x和y的和是奇数时,x ○ y = x + (y); 其他情况下,x ○ y = x ♡ x - y * y。 运算优先级:○ > ** > * = / = % > + = - = ♡。 括号具有最高优先级,先计算括号内的表达式。 请计算表达式的值: 9 ○ 2 ♡ 5 * 2 请将最终答案填入\boxed{}中。
{ "game_data": { "answer": "113", "difficulty": 1, "gpt_response": "", "metadata": { "closing_sequence": null, "expression": "9 ○ 2 ♡ 5 * 2", "fill_length": null, "full_sequence": null, "is_solvable": null, "language": "chinese", "n_types": null, "nestin...
logic-v2
Define ◎, the rules are as follows: when x and y are both odd, x ◎ y = 1 - x + (x) - y; otherwise, x ◎ y = x - 4 + y - y. and ⊙, the rules are as follows: when the sum of x and y is odd, x ⊙ y = y + x ◎ x; otherwise, x ⊙ y = y - x - x. The precedence of operations: ** > * = / = % = ⊙ > + = - = ◎。 Parentheses ha...
{ "game_data": { "answer": "2", "difficulty": 1, "gpt_response": "", "metadata": { "closing_sequence": null, "expression": "10 ◎ 9 ◎ 6 ⊙ 8", "fill_length": null, "full_sequence": null, "is_solvable": null, "language": "english", "n_types": null, "nesting...
logic-v2
定义 ⊙,规则如下: 当y是3的倍数时,x ⊙ y = (y + x); 其他情况下,x ⊙ y = y / 4 - x * x。 和 □,规则如下: 实数域上,x □ y = y / x * y - x。 和 ♡,规则如下: 当x是3的倍数时,x ♡ y = x + y - y ** y □ y; 其他情况下,x ♡ y = x - y + x。 运算优先级:** = □ > * = / = % = ⊙ = ♡ > + = -。 括号具有最高优先级,先计算括号内的表达式。 请计算表达式的值: 7 ♡ 1 □ 4 ⊙ 1 % 2 请将最终答案填入\boxed{}中。
{ "game_data": { "answer": "1.25", "difficulty": 1, "gpt_response": "", "metadata": { "closing_sequence": null, "expression": "7 ♡ 1 □ 4 ⊙ 1 % 2", "fill_length": null, "full_sequence": null, "is_solvable": null, "language": "chinese", "n_types": null, "n...
logic-v2
定义 ⊕,规则如下: 实数域上,x ⊕ y = y + y - x。 和 ⊙,规则如下: 当y是偶数时,x ⊙ y = x / y + x; 其他情况下,x ⊙ y = (x) * y。 和 □,规则如下: 实数域上,x □ y = x ⊙ x / y。 运算优先级:⊕ > ** = □ > * = / = % = ⊙ > + = -。 括号具有最高优先级,先计算括号内的表达式。 请计算表达式的值: 3 □ 6 ⊙ 8 ⊕ 7 请将最终答案填入\boxed{}中。
{ "game_data": { "answer": "9", "difficulty": 1, "gpt_response": "", "metadata": { "closing_sequence": null, "expression": "3 □ 6 ⊙ 8 ⊕ 7", "fill_length": null, "full_sequence": null, "is_solvable": null, "language": "chinese", "n_types": null, "nesting_...
logic-v2
定义 ▽,规则如下: 当x和y的和是偶数时,x ▽ y = x - y - x; 其他情况下,x ▽ y = y - x + y。 和 ☆,规则如下: 实数域上,x ☆ y = x * y - y。 和 ◇,规则如下: 实数域上,x ◇ y = x + y - x。 运算优先级:☆ > ** = ◇ > * = / = % > + = - = ▽。 括号具有最高优先级,先计算括号内的表达式。 请计算表达式的值: 10 ☆ 1 ◇ 2 请将最终答案填入\boxed{}中。
{ "game_data": { "answer": "2", "difficulty": 1, "gpt_response": "", "metadata": { "closing_sequence": null, "expression": "10 ☆ 1 ◇ 2", "fill_length": null, "full_sequence": null, "is_solvable": null, "language": "chinese", "n_types": null, "nesting_dep...
logic-v2
Define ○, the rules are as follows: when y is even, x ○ y = 3 * x + y / y - 1; otherwise, x ○ y = y + 2 + y * y + x. The precedence of operations: ** > * = / = % = ○ > + = -。 Parentheses have the highest priority, and the expression inside the parentheses is calculated first. Please calculate the value of the expre...
{ "game_data": { "answer": "4", "difficulty": 1, "gpt_response": "", "metadata": { "closing_sequence": null, "expression": "4", "fill_length": null, "full_sequence": null, "is_solvable": null, "language": "english", "n_types": null, "nesting_depth": null...
logic-v2
Define ⊙, the rules are as follows: on the real number field, x ⊙ y = y * x - 3. and △, the rules are as follows: on the real number field, x △ y = y - x * y. and ○, the rules are as follows: on the real number field, x ○ y = (y * x + y). The precedence of operations: △ > ** = ○ > * = / = % = ⊙ > + = -。 Parenthes...
{ "game_data": { "answer": "-453", "difficulty": 1, "gpt_response": "", "metadata": { "closing_sequence": null, "expression": "3 ⊙ 9 ○ 4 △ 5", "fill_length": null, "full_sequence": null, "is_solvable": null, "language": "english", "n_types": null, "nesti...
logic-v2
Define ⊗, the rules are as follows: on the real number field, x ⊗ y = x + y * x + x. and ⊙, the rules are as follows: on the real number field, x ⊙ y = x + x - y / x. and ◎, the rules are as follows: when x is equal to y, x ◎ y = y + y + 2 * x; otherwise, x ◎ y = x + y - y. The precedence of operations: ⊙ > ** ...
{ "game_data": { "answer": "-20", "difficulty": 1, "gpt_response": "", "metadata": { "closing_sequence": null, "expression": "1 ⊙ 7 ⊗ 2 ◎ 10", "fill_length": null, "full_sequence": null, "is_solvable": null, "language": "english", "n_types": null, "nesti...
logic-v2
Define □, the rules are as follows: on the real number field, x □ y = y * x. and ⊕, the rules are as follows: when x is equal to y, x ⊕ y = (x * y); otherwise, x ⊕ y = x - x - y. The precedence of operations: ⊕ > ** > * = / = % = □ > + = -。 Parentheses have the highest priority, and the expression inside the pare...
{ "game_data": { "answer": "-10", "difficulty": 1, "gpt_response": "", "metadata": { "closing_sequence": null, "expression": "2 □ 9 ⊕ 5", "fill_length": null, "full_sequence": null, "is_solvable": null, "language": "english", "n_types": null, "nesting_de...
logic-v2
定义 △,规则如下: 实数域上,x △ y = x / 1 + y。 运算优先级:** > * = / = % > + = - = △。 括号具有最高优先级,先计算括号内的表达式。 请计算表达式的值: 6 △ 5 请将最终答案填入\boxed{}中。
{ "game_data": { "answer": "11", "difficulty": 1, "gpt_response": "", "metadata": { "closing_sequence": null, "expression": "6 △ 5", "fill_length": null, "full_sequence": null, "is_solvable": null, "language": "chinese", "n_types": null, "nesting_depth":...
logic-v2
定义 ◇,规则如下: 当x等于y时,x ◇ y = 4 + y * x; 其他情况下,x ◇ y = 2 + x - y - x。 运算优先级:◇ > ** > * = / = % > + = -。 括号具有最高优先级,先计算括号内的表达式。 请计算表达式的值: 5 请将最终答案填入\boxed{}中。
{ "game_data": { "answer": "5", "difficulty": 1, "gpt_response": "", "metadata": { "closing_sequence": null, "expression": "5", "fill_length": null, "full_sequence": null, "is_solvable": null, "language": "chinese", "n_types": null, "nesting_depth": null...
logic-v2
Define ◇, the rules are as follows: on the real number field, x ◇ y = abs(x - x / y) * y. The precedence of operations: ◇ > ** > * = / = % > + = -。 Parentheses have the highest priority, and the expression inside the parentheses is calculated first. Please calculate the value of the expression: 4 ◇ 3 - 2 ** 3 Please ...
{ "game_data": { "answer": "0", "difficulty": 1, "gpt_response": "", "metadata": { "closing_sequence": null, "expression": "4 ◇ 3 - 2 ** 3", "fill_length": null, "full_sequence": null, "is_solvable": null, "language": "english", "n_types": null, "nesting...
logic-v2
Define ⊕, the rules are as follows: when the sum of x and y is even, x ⊕ y = y ** 1 * x; otherwise, x ⊕ y = x + x - 4 + y. and ⊗, the rules are as follows: when x is less than y, x ⊗ y = x ⊕ x - x * y - x; otherwise, x ⊗ y = y * x * y + y + y. The precedence of operations: ⊕ > ⊗ > ** > * = / = % > + = -。 Parent...
{ "game_data": { "answer": "135", "difficulty": 1, "gpt_response": "", "metadata": { "closing_sequence": null, "expression": "5 ⊗ 1 ⊕ 5 * 2 ⊕ 1", "fill_length": null, "full_sequence": null, "is_solvable": null, "language": "english", "n_types": null, "ne...
logic-v2
Define □, the rules are as follows: on the real number field, x □ y = 1 * x - x + y. and ⊙, the rules are as follows: on the real number field, x ⊙ y = x * y * x. The precedence of operations: □ > ** > * = / = % > + = - = ⊙。 Parentheses have the highest priority, and the expression inside the parentheses is calcula...
{ "game_data": { "answer": "256", "difficulty": 1, "gpt_response": "", "metadata": { "closing_sequence": null, "expression": "10 □ 10 - 2 ⊙ 4", "fill_length": null, "full_sequence": null, "is_solvable": null, "language": "english", "n_types": null, "nest...
logic-v2
定义 ⊗,规则如下: 实数域上,x ⊗ y = x * y + x。 和 ♡,规则如下: 实数域上,x ♡ y = y ⊗ x + x - x。 和 ⊕,规则如下: 当x和y都是奇数时,x ⊕ y = (y - x / 2); 其他情况下,x ⊕ y = x * y / y。 运算优先级:⊕ > ⊗ = ♡ > ** > * = / = % > + = -。 括号具有最高优先级,先计算括号内的表达式。 请计算表达式的值: 7 ♡ 7 ⊗ 5 ⊕ 4 请将最终答案填入\boxed{}中。
{ "game_data": { "answer": "336", "difficulty": 1, "gpt_response": "", "metadata": { "closing_sequence": null, "expression": "7 ♡ 7 ⊗ 5 ⊕ 4", "fill_length": null, "full_sequence": null, "is_solvable": null, "language": "chinese", "n_types": null, "nestin...
logic-v2
Define ▽, the rules are as follows: on the real number field, x ▽ y = x + y. The precedence of operations: ** > * = / = % = ▽ > + = -。 Parentheses have the highest priority, and the expression inside the parentheses is calculated first. Please calculate the value of the expression: 10 Please fill your final answer in...
{ "game_data": { "answer": "10", "difficulty": 1, "gpt_response": "", "metadata": { "closing_sequence": null, "expression": "10", "fill_length": null, "full_sequence": null, "is_solvable": null, "language": "english", "n_types": null, "nesting_depth": nu...
logic-v2
定义 △,规则如下: 当y是偶数时,x △ y = y ** x * y - y; 其他情况下,x △ y = x - (x * y + x + y)。 运算优先级:** = △ > * = / = % > + = -。 括号具有最高优先级,先计算括号内的表达式。 请计算表达式的值: 1 △ 6 请将最终答案填入\boxed{}中。
{ "game_data": { "answer": "30", "difficulty": 1, "gpt_response": "", "metadata": { "closing_sequence": null, "expression": "1 △ 6", "fill_length": null, "full_sequence": null, "is_solvable": null, "language": "chinese", "n_types": null, "nesting_depth":...
logic-v2
Define △, the rules are as follows: when x is even, x △ y = y * y ** y * x; otherwise, x △ y = 1 + y + x * y. The precedence of operations: ** = △ > * = / = % > + = -。 Parentheses have the highest priority, and the expression inside the parentheses is calculated first. Please calculate the value of the expression: ...
{ "game_data": { "answer": "9", "difficulty": 1, "gpt_response": "", "metadata": { "closing_sequence": null, "expression": "7 △ 10 / 9", "fill_length": null, "full_sequence": null, "is_solvable": null, "language": "english", "n_types": null, "nesting_dep...
logic-v2
定义 ◎,规则如下: 当x小于y时,x ◎ y = x - 3 * y - y; 其他情况下,x ◎ y = y + 2 + x + y。 和 ⊕,规则如下: 实数域上,x ⊕ y = x - y ◎ y * y。 运算优先级:◎ > ** > * = / = % = ⊕ > + = -。 括号具有最高优先级,先计算括号内的表达式。 请计算表达式的值: 2 ◎ 8 ⊕ 9 ◎ 5 请将最终答案填入\boxed{}中。
{ "game_data": { "answer": "-1395", "difficulty": 1, "gpt_response": "", "metadata": { "closing_sequence": null, "expression": "2 ◎ 8 ⊕ 9 ◎ 5", "fill_length": null, "full_sequence": null, "is_solvable": null, "language": "chinese", "n_types": null, "nest...
logic-v2
Define ⊕, the rules are as follows: when x and y are both even, x ⊕ y = x + abs(x / y); otherwise, x ⊕ y = y ** x / x. and ◇, the rules are as follows: when y is odd, x ◇ y = y ⊕ y + x; otherwise, x ◇ y = x - x + y. and ☆, the rules are as follows: when x and y are both odd, x ☆ y = x * y ⊕ x; otherwise, x ☆ ...
{ "game_data": { "answer": "7.5", "difficulty": 1, "gpt_response": "", "metadata": { "closing_sequence": null, "expression": "6 ⊕ 6 ☆ 7 ◇ 4", "fill_length": null, "full_sequence": null, "is_solvable": null, "language": "english", "n_types": null, "nestin...
logic-v2
Define △, the rules are as follows: on the real number field, x △ y = y * (x) - x. The precedence of operations: ** > * = / = % = △ > + = -。 Parentheses have the highest priority, and the expression inside the parentheses is calculated first. Please calculate the value of the expression: 5 △ 4 + 4 Please fill your fi...
{ "game_data": { "answer": "19", "difficulty": 1, "gpt_response": "", "metadata": { "closing_sequence": null, "expression": "5 △ 4 + 4", "fill_length": null, "full_sequence": null, "is_solvable": null, "language": "english", "n_types": null, "nesting_dep...
logic-v2
Define ◇, the rules are as follows: on the real number field, x ◇ y = y / y - y / x. and ○, the rules are as follows: when the sum of x and y is odd, x ○ y = x * (y - 1 ** 1); otherwise, x ○ y = y / y / x * y. and ◎, the rules are as follows: when x and y are both even, x ◎ y = y * y * x; otherwise, x ◎ y = y...
{ "game_data": { "answer": "-5.619048", "difficulty": 1, "gpt_response": "", "metadata": { "closing_sequence": null, "expression": "9 ○ 3 ◎ 7 ◇ 8", "fill_length": null, "full_sequence": null, "is_solvable": null, "language": "english", "n_types": null, "...
logic-v2
Define ◎, the rules are as follows: when y is even, x ◎ y = 3 + (x * y); otherwise, x ◎ y = x - (y * y). and □, the rules are as follows: on the real number field, x □ y = x * y. The precedence of operations: ◎ > ** = □ > * = / = % > + = -。 Parentheses have the highest priority, and the expression inside the pare...
{ "game_data": { "answer": "-336", "difficulty": 1, "gpt_response": "", "metadata": { "closing_sequence": null, "expression": "2 □ 8 □ 4 ◎ 5", "fill_length": null, "full_sequence": null, "is_solvable": null, "language": "english", "n_types": null, "nesti...
logic-v2
定义 ○,规则如下: 当x是5的倍数时,x ○ y = y + (x); 其他情况下,x ○ y = x + y * x。 运算优先级:** = ○ > * = / = % > + = -。 括号具有最高优先级,先计算括号内的表达式。 请计算表达式的值: 4 + 2 ○ 2 请将最终答案填入\boxed{}中。
{ "game_data": { "answer": "10", "difficulty": 1, "gpt_response": "", "metadata": { "closing_sequence": null, "expression": "4 + 2 ○ 2", "fill_length": null, "full_sequence": null, "is_solvable": null, "language": "chinese", "n_types": null, "nesting_dep...
logic-v2
定义 △,规则如下: 实数域上,x △ y = y * y + x + x。 运算优先级:** = △ > * = / = % > + = -。 括号具有最高优先级,先计算括号内的表达式。 请计算表达式的值: 3 ** 4 * 8 △ 10 请将最终答案填入\boxed{}中。
{ "game_data": { "answer": "9396", "difficulty": 1, "gpt_response": "", "metadata": { "closing_sequence": null, "expression": "3 ** 4 * 8 △ 10", "fill_length": null, "full_sequence": null, "is_solvable": null, "language": "chinese", "n_types": null, "nes...
logic-v2
定义 ☆,规则如下: 实数域上,x ☆ y = abs(y + y - y + y) - x。 和 ▽,规则如下: 当y是5的倍数时,x ▽ y = (3 + 5 - y) - x; 其他情况下,x ▽ y = 1 + x - x + (y + 5)。 运算优先级:☆ > ** = ▽ > * = / = % > + = -。 括号具有最高优先级,先计算括号内的表达式。 请计算表达式的值: 1 ☆ 2 / 9 ▽ 8 请将最终答案填入\boxed{}中。
{ "game_data": { "answer": "0.214286", "difficulty": 1, "gpt_response": "", "metadata": { "closing_sequence": null, "expression": "1 ☆ 2 / 9 ▽ 8", "fill_length": null, "full_sequence": null, "is_solvable": null, "language": "chinese", "n_types": null, "n...
logic-v2
定义 ◇,规则如下: 实数域上,x ◇ y = abs(y * x * y)。 运算优先级:** = ◇ > * = / = % > + = -。 括号具有最高优先级,先计算括号内的表达式。 请计算表达式的值: 5 % 9 ◇ 8 请将最终答案填入\boxed{}中。
{ "game_data": { "answer": "5", "difficulty": 1, "gpt_response": "", "metadata": { "closing_sequence": null, "expression": "5 % 9 ◇ 8", "fill_length": null, "full_sequence": null, "is_solvable": null, "language": "chinese", "n_types": null, "nesting_dept...