env stringclasses 1
value | prompt stringlengths 119 673 | extra dict |
|---|---|---|
logic-v2 | Define ⊕, the rules are as follows:
when y is a multiple of 3, x ⊕ y = x + y + (y) * x;
otherwise, x ⊕ y = y - x * y.
and ⊙, the rules are as follows:
when x is greater than y, x ⊙ y = x - y + y ⊕ 3;
otherwise, x ⊙ y = y ** x * (x ⊕ x * 2).
and ○, the rules are as follows:
on the real number field, x ○ y = ab... | {
"game_data": {
"answer": "-32",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"closing_sequence": null,
"expression": "2 ○ 3 ⊕ 4",
"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 - x * y - y * x.
and ◇, the rules are as follows:
on the real number field, x ◇ y = y ⊕ x + x + x / 3.
and ◎, the rules are as follows:
when x is equal to y, x ◎ y = x ◇ y - 4 * x;
otherwise, x ◎ y = y + x / x.
The precedence of operations:... | {
"game_data": {
"answer": "2",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"closing_sequence": null,
"expression": "10 ◇ 6 ⊕ 3 ◎ 1 ** 4",
"fill_length": null,
"full_sequence": null,
"is_solvable": null,
"language": "english",
"n_types": null,
"ne... |
logic-v2 | 定义 ○，规则如下：
当x和y都是偶数时，x ○ y = y ** y * y + x；
其他情况下，x ○ 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: 8
请将最终答案填入\boxed{}中。 | {
"game_data": {
"answer": "8",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"closing_sequence": null,
"expression": "8",
"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 - (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
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:
when x is a multiple of 3, x ⊕ y = x - x - x * y / y;
otherwise, x ⊕ y = y - 3 * 1 * 2 + x.
The precedence of operations: ** = ⊕ > * = / = % > + = -。
Parentheses have the highest priority, and the expression inside the parentheses is calculated first.
Please calculate the value o... | {
"game_data": {
"answer": "16",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"closing_sequence": null,
"expression": "2 ⊕ 2 ** 4",
"fill_length": null,
"full_sequence": null,
"is_solvable": null,
"language": "english",
"n_types": null,
"nesting_de... |
logic-v2 | Define ☆, the rules are as follows:
when x is a multiple of 5, x ☆ y = (y * 1 - y) - x;
otherwise, x ☆ y = 4 * x + x / y.
and ♡, the rules are as follows:
when y is even, x ♡ y = x * x * x + y;
otherwise, x ♡ y = y - (x) + x.
The precedence of operations: ♡ > ** > * = / = % = ☆ > + = -。
Parentheses have the hig... | {
"game_data": {
"answer": "128.428571",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"closing_sequence": null,
"expression": "3 ♡ 4 ☆ 7 % 2 ** 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 a multiple of 3, x ⊕ y = x + y + x * 3 + y;
otherwise, x ⊕ y = abs(x - x + 1 - 4) - y.
and ⊙, the rules are as follows:
when x and y are both odd, x ⊙ y = abs(y) - x + x - x - y;
otherwise, x ⊙ y = y + 5 * 3 + 2 + x.
and ○, the rules are as follows:
on the real numb... | {
"game_data": {
"answer": "-7",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"closing_sequence": null,
"expression": "5 ○ 5 ⊕ 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 = 3 + abs(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: 3
Please fill your final a... | {
"game_data": {
"answer": "3",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"closing_sequence": null,
"expression": "3",
"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：
实数域上，x ◎ y = x * y + x ** y * x。
和 ⊕，规则如下：
当x大于y时，x ⊕ y = x ◎ 3 + x - y；
其他情况下，x ⊕ y = x - x * y - x + x。
和 ⊗，规则如下：
当x是3的倍数时，x ⊗ y = x / y ⊕ y / y * x；
其他情况下，x ⊗ y = 3 - 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: 2 ⊗ 1 ⊕ 7
请将最终答案填入\boxed{}中。 | {
"game_data": {
"answer": "-5",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"closing_sequence": null,
"expression": "2 ⊗ 1 ⊕ 7",
"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 = x + y * y.
and ▽, the rules are as follows:
when y is odd, x ▽ y = y ⊕ x * x / y;
otherwise, x ▽ y = (x ⊕ y - 1).
and △, the rules are as follows:
when y is a multiple of 5, x △ y = y ⊕ y * x;
otherwise, x △ y = y * x + y * x.
The precedenc... | {
"game_data": {
"answer": "152",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"closing_sequence": null,
"expression": "8 ⊕ 1 △ 6",
"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 = abs(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 expression: 3
Please fill your final a... | {
"game_data": {
"answer": "3",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"closing_sequence": null,
"expression": "3",
"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是奇数时，x ♡ y = y + x + x；
其他情况下，x ♡ y = x - y + y。
和 ◎，规则如下：
实数域上，x ◎ y = 2 * 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: 7 ♡ 8 ◎ 3
请将最终答案填入\boxed{}中。 | {
"game_data": {
"answer": "132",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"closing_sequence": null,
"expression": "7 ♡ 8 ◎ 3",
"fill_length": null,
"full_sequence": null,
"is_solvable": null,
"language": "chinese",
"n_types": null,
"nesting_de... |
logic-v2 | 定义 ⊕，规则如下：
实数域上，x ⊕ y = 5 * y + x。
和 ♢，规则如下：
当x和y的和是偶数时，x ♢ y = y * 3 * x；
其他情况下，x ♢ y = y + x ⊕ (y) / x。
和 ○，规则如下：
当x和y的和是偶数时，x ○ y = y + (x ** y) ♢ x；
其他情况下，x ○ y = 4 + 5 - 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: 2 ⊕ 4 ○ 3
请将最终答案填入\boxed{}中。 | {
"game_data": {
"answer": "1.666667",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"closing_sequence": null,
"expression": "2 ⊕ 4 ○ 3",
"fill_length": null,
"full_sequence": null,
"is_solvable": null,
"language": "chinese",
"n_types": null,
"nesti... |
logic-v2 | Define ⊙, the rules are as follows:
when x is a multiple of 5, x ⊙ y = 4 + y / (x);
otherwise, x ⊙ y = y ** x / 4.
and ♡, the rules are as follows:
when y is a multiple of 3, x ♡ y = 4 + x ⊙ y;
otherwise, x ♡ y = y + x + x.
and ⊗, the rules are as follows:
when the sum of x and y is even, x ⊗ y = y - y + x;
o... | {
"game_data": {
"answer": "24.5",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"closing_sequence": null,
"expression": "2 ⊙ 5 ♡ 3 ⊗ 3 + 9",
"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都是偶数时，x ♢ y = y - x - y；
其他情况下，x ♢ y = y - y - y - x。
和 ⊗，规则如下：
当y是奇数时，x ⊗ y = y * x * 1 ♢ 2；
其他情况下，x ⊗ y = x - x + x * y。
和 ♡，规则如下：
实数域上，x ♡ y = x / y - 3 * 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 ⊗ 5 ♡ 7 ♢ 4
请将最终答案填入\boxed{}中。 | {
"game_data": {
"answer": "227.818182",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"closing_sequence": null,
"expression": "7 ⊗ 5 ♡ 7 ♢ 4",
"fill_length": null,
"full_sequence": null,
"is_solvable": null,
"language": "chinese",
"n_types": null,
... |
logic-v2 | Define ⊕, the rules are as follows:
when y is even, x ⊕ y = x - (x - y) + y;
otherwise, x ⊕ y = y + (x).
and ▽, the rules are as follows:
when x is a multiple of 3, x ▽ y = (y ** y + x) + x;
otherwise, x ▽ y = x + x / y.
and △, the rules are as follows:
on the real number field, x △ y = y ⊕ x - x + y.
The pre... | {
"game_data": {
"answer": "11.416667",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"closing_sequence": null,
"expression": "6 ⊕ 5 ▽ 5 △ 6 * 1 ** 2",
"fill_length": null,
"full_sequence": null,
"is_solvable": null,
"language": "english",
"n_types": null... |
logic-v2 | Define ▽, the rules are as follows:
when x and y are both even, x ▽ y = (x + y + y);
otherwise, 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 expr... | {
"game_data": {
"answer": "0.37037",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"closing_sequence": null,
"expression": "10 / 3 ▽ 1",
"fill_length": null,
"full_sequence": null,
"is_solvable": null,
"language": "english",
"n_types": null,
"nesti... |
logic-v2 | 定义 ⊙，规则如下：
实数域上，x ⊙ y = y + y - abs(x - y)。
和 ◇，规则如下：
实数域上，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: 9 ⊕ 5 ◇ 10 ⊙ 10
请将最终答案填入\boxed{}中。 | {
"game_data": {
"answer": "7.75",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"closing_sequence": null,
"expression": "9 ⊕ 5 ◇ 10 ⊙ 10",
"fill_length": null,
"full_sequence": null,
"is_solvable": null,
"language": "chinese",
"n_types": null,
"nes... |
logic-v2 | 定义 ◇，规则如下：
当x小于y时，x ◇ y = 2 - x * y；
其他情况下，x ◇ y = x - x * 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 ◇ 6
请将最终答案填入\boxed{}中。 | {
"game_data": {
"answer": "-22",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"closing_sequence": null,
"expression": "4 ◇ 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 = y - y ** x * 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: 3 ○ 6
Please fill your... | {
"game_data": {
"answer": "-636",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"closing_sequence": null,
"expression": "3 ○ 6",
"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 greater than y, x ☆ y = x / y - 3;
otherwise, x ☆ y = y + x + x.
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 ... | {
"game_data": {
"answer": "24",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"closing_sequence": null,
"expression": "7 ☆ 10",
"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 / y - y - abs(y * x).
and △, the rules are as follows:
on the real number field, x △ y = 1 + y ⊕ 4 * 4 - x.
and ☆, the rules are as follows:
when y is odd, x ☆ y = x + x + y * y / x;
otherwise, x ☆ y = y / x + y / y.
The precedence of opera... | {
"game_data": {
"answer": "-577",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"closing_sequence": null,
"expression": "6 △ 5 ⊕ 6",
"fill_length": null,
"full_sequence": null,
"is_solvable": null,
"language": "english",
"n_types": null,
"nesting_d... |
logic-v2 | Define ⊙, the rules are as follows:
on the real number field, x ⊙ y = x - y - y.
and ♢, the rules are as follows:
on the real number field, x ♢ y = y ⊙ y + x.
and ⊕, the rules are as follows:
when y is even, x ⊕ y = x * y;
otherwise, x ⊕ y = y + x / x.
The precedence of operations: ♢ > ** = ⊙ > * = / = % > + = ... | {
"game_data": {
"answer": "-24",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"closing_sequence": null,
"expression": "4 ♢ 1 ⊕ 10 ⊙ 9",
"fill_length": null,
"full_sequence": null,
"is_solvable": null,
"language": "english",
"n_types": null,
"nesti... |
logic-v2 | 定义 ⊕，规则如下：
实数域上，x ⊕ y = y - x - x。
和 ◇，规则如下：
当y是奇数时，x ◇ y = abs(x * y) * x；
其他情况下，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 ⊕ 7 ◇ 1 ⊕ 4
请将最终答案填入\boxed{}中。 | {
"game_data": {
"answer": "-90",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"closing_sequence": null,
"expression": "1 ⊕ 7 ◇ 1 ⊕ 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 = y * x * 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 △ 7
Please fill your fina... | {
"game_data": {
"answer": "35",
"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 | Define ⊗, the rules are as follows:
on the real number field, x ⊗ y = y / abs(x) - y.
and ⊕, the rules are as follows:
on the real number field, x ⊕ y = x ** x / y.
and ♢, the rules are as follows:
when x is a multiple of 5, x ♢ y = (y + x);
otherwise, x ♢ y = y * x * y.
The precedence of operations: ⊕ > ♢ > **... | {
"game_data": {
"answer": "5",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"closing_sequence": null,
"expression": "2 ⊕ 9 ⊗ 4",
"fill_length": null,
"full_sequence": null,
"is_solvable": null,
"language": "english",
"n_types": null,
"nesting_dept... |
logic-v2 | Define ♢, the rules are as follows:
on the real number field, x ♢ y = y / 1 / (x).
and ◎, the rules are as follows:
on the real number field, x ◎ y = y ** abs(x) + x.
and ▽, the rules are as follows:
on the real number field, x ▽ y = x + y.
The precedence of operations: ** = ▽ > * = / = % = ◎ > + = - = ♢。
Parenth... | {
"game_data": {
"answer": "0.0",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"closing_sequence": null,
"expression": "10 ◎ 7 ▽ 2 / 1 ♢ 10",
"fill_length": null,
"full_sequence": null,
"is_solvable": null,
"language": "english",
"n_types": null,
"... |
logic-v2 | Define △, the rules are as follows:
on the real number field, x △ y = y + abs(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: 1
Please fill your final a... | {
"game_data": {
"answer": "1",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"closing_sequence": null,
"expression": "1",
"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：
实数域上，x □ y = abs(y) * x。
和 ⊗，规则如下：
当x等于y时，x ⊗ y = y + x / 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 □ 7 * 4
请将最终答案填入\boxed{}中。 | {
"game_data": {
"answer": "4",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"closing_sequence": null,
"expression": "1 ⊗ 8 □ 7 * 4",
"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 + y。
和 ☆，规则如下：
实数域上，x ☆ 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: 3 ☆ 1
请将最终答案填入\boxed{}中。 | {
"game_data": {
"answer": "4",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"closing_sequence": null,
"expression": "3 ☆ 1",
"fill_length": null,
"full_sequence": null,
"is_solvable": null,
"language": "chinese",
"n_types": null,
"nesting_depth": ... |
logic-v2 | 定义 △，规则如下：
实数域上，x △ y = y + x + abs(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
请将最终答案填入\boxed{}中。 | {
"game_data": {
"answer": "55",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"closing_sequence": null,
"expression": "10 △ 6 △ 3",
"fill_length": null,
"full_sequence": null,
"is_solvable": null,
"language": "chinese",
"n_types": null,
"nesting_de... |
logic-v2 | Define △, the rules are as follows:
on the real number field, x △ y = y + 2 - 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: 4 △ 2 % 2
Please fill your ... | {
"game_data": {
"answer": "0",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"closing_sequence": null,
"expression": "4 △ 2 % 2",
"fill_length": null,
"full_sequence": null,
"is_solvable": null,
"language": "english",
"n_types": null,
"nesting_dept... |
logic-v2 | Define ◇, the rules are as follows:
on the real number field, x ◇ y = abs(y - x) * x + 1.
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: 8 - 4 / 5 ◇ 7
Please f... | {
"game_data": {
"answer": "2.04",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"closing_sequence": null,
"expression": "8 - 4 / 5 ◇ 7",
"fill_length": null,
"full_sequence": null,
"is_solvable": null,
"language": "english",
"n_types": null,
"nesti... |
logic-v2 | Define △, the rules are as follows:
when y is a multiple of 3, x △ y = x / y + y;
otherwise, x △ y = y - x * x.
and ⊕, the rules are as follows:
when y is odd, x ⊕ y = y - x * x;
otherwise, x ⊕ y = (y ** y) / x.
and ☆, the rules are as follows:
on the real number field, x ☆ y = x ⊕ x + y.
The precedence of op... | {
"game_data": {
"answer": "10",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"closing_sequence": null,
"expression": "6 ⊕ 6 △ 1 △ 7 ☆ 10",
"fill_length": null,
"full_sequence": null,
"is_solvable": null,
"language": "english",
"n_types": null,
"ne... |
logic-v2 | 定义 ⊕，规则如下：
当x是奇数时，x ⊕ y = x * y - x；
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 * x + x；
其他情况下，x ⊙ y = y + x ⊕ y。
和 ◎，规则如下：
当x是偶数时，x ◎ y = x ⊕ x - 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 ⊙ 7 ⊕ 7 ◎ 8
请将最终答案填入\boxed{}中。 | {
"game_data": {
"answer": "-83.99972",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"closing_sequence": null,
"expression": "7 ⊙ 7 ⊕ 7 ◎ 8",
"fill_length": null,
"full_sequence": null,
"is_solvable": null,
"language": "chinese",
"n_types": null,
"... |
logic-v2 | 定义 ◇，规则如下：
当x是奇数时，x ◇ y = x * 1 - 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: 8 + 3 ◇ 2
请将最终答案填入\boxed{}中。 | {
"game_data": {
"answer": "5",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"closing_sequence": null,
"expression": "8 + 3 ◇ 2",
"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 * y。
和 ⊕，规则如下：
实数域上，x ⊕ y = y * (x + x) / y。
和 □，规则如下：
当x和y都是奇数时，x □ y = x / x - y * 2；
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: 8 ⊕ 5 ⊗ 9
请将最终答案填入\boxed{}中。 | {
"game_data": {
"answer": "16",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"closing_sequence": null,
"expression": "8 ⊕ 5 ⊗ 9",
"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 = x * y - x - y。
和 ○，规则如下：
当x是3的倍数时，x ○ y = x / (x + x + y) ♢ x；
其他情况下，x ○ y = 3 * x ♢ 4 * y。
和 ♡，规则如下：
实数域上，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: 2 ○ 8 ♢ 4 ○ 7 ♡ 10
请将最终答案填入\boxed{}中。 | {
"game_data": {
"answer": "10.040993",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"closing_sequence": null,
"expression": "2 ○ 8 ♢ 4 ○ 7 ♡ 10",
"fill_length": null,
"full_sequence": null,
"is_solvable": null,
"language": "chinese",
"n_types": null,
... |
logic-v2 | Define ⊕, the rules are as follows:
on the real number field, x ⊕ y = y * x * y / y - y.
and ♡, the rules are as follows:
when x is less than y, x ♡ y = x / y - 5 + x;
otherwise, x ♡ y = 2 - x * y - y.
and △, the rules are as follows:
on the real number field, x △ y = x + x + x * x * y.
The precedence of operat... | {
"game_data": {
"answer": "0.016805",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"closing_sequence": null,
"expression": "10 / 5 ⊕ 2 ♡ 9 △ 5",
"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的和是偶数时，x ♡ y = x * y - x - 4；
其他情况下，x ♡ y = x * y / (y) + y + y。
和 ⊙，规则如下：
当y是偶数时，x ⊙ y = y + y ♡ x + y；
其他情况下，x ⊙ y = x ♡ y + y - 2 ** 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: 6 ♡ 2 - 1 ⊙ 3
请将最终答案填入\boxed{}中。 | {
"game_data": {
"answer": "-1",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"closing_sequence": null,
"expression": "6 ♡ 2 - 1 ⊙ 3",
"fill_length": null,
"full_sequence": null,
"is_solvable": null,
"language": "chinese",
"n_types": null,
"nesting... |
logic-v2 | Define △, the rules are as follows:
on the real number field, x △ y = abs(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 △ 9
Please fill your fin... | {
"game_data": {
"answer": "441",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"closing_sequence": null,
"expression": "7 △ 9",
"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 a multiple of 5, x ⊗ y = y - x + x - y - y;
otherwise, x ⊗ y = 4 * y + x - 5 * 5.
and □, the rules are as follows:
when y is even, x □ y = x + x - x * y ⊗ y;
otherwise, x □ y = (x * x) - y + 5.
and ○, the rules are as follows:
on the real number field, x ○ y = y +... | {
"game_data": {
"answer": "-4",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"closing_sequence": null,
"expression": "3 ○ 2 ⊗ 4",
"fill_length": null,
"full_sequence": null,
"is_solvable": null,
"language": "english",
"n_types": null,
"nesting_dep... |
logic-v2 | 定义 ◎，规则如下：
实数域上，x ◎ y = abs(y - 1) - x * x。
和 △，规则如下：
实数域上，x △ y = 4 * 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: 6 ◎ 8 △ 7 △ 6
请将最终答案填入\boxed{}中。 | {
"game_data": {
"answer": "-462.52381",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"closing_sequence": null,
"expression": "6 ◎ 8 △ 7 △ 6",
"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 a multiple of 3, x ◇ y = y * x ** y;
otherwise, x ◇ y = 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 expressio... | {
"game_data": {
"answer": "-31",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"closing_sequence": null,
"expression": "8 ◇ 10 * 5 + 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 ** y + y.
and ○, the rules are as follows:
on the real number field, x ○ y = x + x □ x + y.
The precedence of operations: □ > ** > * = / = % = ○ > + = -。
Parentheses have the highest priority, and the expression inside the parentheses is ca... | {
"game_data": {
"answer": "2",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"closing_sequence": null,
"expression": "4 □ 2 % 2 % 10 ○ 2",
"fill_length": null,
"full_sequence": null,
"is_solvable": null,
"language": "english",
"n_types": null,
"nes... |
logic-v2 | Define ⊕, the rules are as follows:
when x is even, x ⊕ y = (x - y) + x;
otherwise, x ⊕ y = abs(x * x + y).
and ♡, the rules are as follows:
when y is a multiple of 5, x ♡ y = y ⊕ 3 - x;
otherwise, x ♡ y = y ⊕ 5 - x.
and ▽, the rules are as follows:
when x is even, x ▽ y = x + y;
otherwise, x ▽ y = y + y - ... | {
"game_data": {
"answer": "83",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"closing_sequence": null,
"expression": "1 ▽ 2 ♡ 9",
"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 greater than y, x ♡ y = y - x + y;
otherwise, x ♡ y = x - x * y.
and ⊙, the rules are as follows:
on the real number field, x ⊙ y = x + x - x + y.
The precedence of operations: ♡ = ⊙ > ** > * = / = % > + = -。
Parentheses have the highest priority, and the expression i... | {
"game_data": {
"answer": "16",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"closing_sequence": null,
"expression": "10 ⊙ 6",
"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 y is a multiple of 3, x ☆ y = y + y - y * x;
otherwise, x ☆ y = 4 + x - 3 + y - y.
and ⊙, the rules are as follows:
on the real number field, x ⊙ y = x ** 4 + abs(y + 2 ** y).
The precedence of operations: ⊙ > ** = ☆ > * = / = % > + = -。
Parentheses have the highest priori... | {
"game_data": {
"answer": "-19296",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"closing_sequence": null,
"expression": "10 ☆ 7 ⊙ 3",
"fill_length": null,
"full_sequence": null,
"is_solvable": null,
"language": "english",
"n_types": null,
"nestin... |
logic-v2 | 定义 ⊕，规则如下：
当x和y的和是奇数时，x ⊕ y = x - x + y；
其他情况下，x ⊕ y = y * y * y - y * x。
和 ♡，规则如下：
当x和y都是偶数时，x ♡ y = abs(y ** 4 / x)；
其他情况下，x ♡ y = x / abs(x ** y)。
和 ♢，规则如下：
实数域上，x ♢ y = 5 - x ⊕ 2 - 3 * 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 ♡ 6 ♢ 3
请将最终答案填入\boxed{}中。 | {
"game_data": {
"answer": "247.2",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"closing_sequence": null,
"expression": "10 ♡ 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：
实数域上，x ⊗ y = x - y + x。
和 △，规则如下：
实数域上，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: 7 △ 8 ◎ 6
请将最终答案填入\boxed{}中。 | {
"game_data": {
"answer": "-5.785714",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"closing_sequence": null,
"expression": "7 △ 8 ◎ 6",
"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 = abs(y * x) + x.
and ◇, the rules are as follows:
on the real number field, x ◇ y = y ** x + 5.
and ▽, the rules are as follows:
on the real number field, x ▽ y = y + (x - x + 4).
The precedence of operations: ◇ > ▽ > ** > * = / = % > + = - = ⊙。... | {
"game_data": {
"answer": "860",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"closing_sequence": null,
"expression": "2 ◇ 9 ⊙ 8 ▽ 5",
"fill_length": null,
"full_sequence": null,
"is_solvable": null,
"language": "english",
"n_types": null,
"nestin... |
logic-v2 | Define ◎, the rules are as follows:
when the sum of x and y is odd, x ◎ y = y * x;
otherwise, x ◎ y = (y) - y - 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 expr... | {
"game_data": {
"answer": "-40",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"closing_sequence": null,
"expression": "5 ☆ 9 ◎ 7",
"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 - (y - y) + x * x.
and □, the rules are as follows:
on the real number field, x □ y = x - x * y + y - y.
and ♡, the rules are as follows:
on the real number field, x ♡ y = x / x + y ⊕ y / x.
The precedence of operations: ⊕ = ♡ > ** > * = / = ... | {
"game_data": {
"answer": "-38",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"closing_sequence": null,
"expression": "3 ⊕ 10 □ 3 ♡ 2",
"fill_length": null,
"full_sequence": null,
"is_solvable": null,
"language": "english",
"n_types": null,
"nesti... |
logic-v2 | 定义 ◎，规则如下：
实数域上，x ◎ y = x - y - x。
和 ⊗，规则如下：
当x和y的和是偶数时，x ⊗ y = 5 - x ** y + x；
其他情况下，x ⊗ y = y * x + 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: 5 ⊗ 3 ◎ 2
请将最终答案填入\boxed{}中。 | {
"game_data": {
"answer": "-2",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"closing_sequence": null,
"expression": "5 ⊗ 3 ◎ 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:
on the real number field, x ♢ y = x - y ** 5.
and ◇, the rules are as follows:
when the sum of x and y is even, x ◇ y = y / x + y;
otherwise, x ◇ y = y ♢ x + x.
and ☆, the rules are as follows:
when x is greater than y, x ☆ y = (y - x) - x;
otherwise, x ☆ y = x - y + y.
The... | {
"game_data": {
"answer": "-7773",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"closing_sequence": null,
"expression": "3 ♢ 6 ☆ 4",
"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 = (x * x) * y;
otherwise, x ♡ y = y + x / x.
and □, the rules are as follows:
when x is less than y, x □ y = y + x + y;
otherwise, x □ y = x + y + y.
The precedence of operations: ** > * = / = % = ♡ = □ > + = -。
Parentheses have the highe... | {
"game_data": {
"answer": "6",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"closing_sequence": null,
"expression": "2 / 4 □ 8 ♡ 5",
"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 = 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 + 10 △ 4
请将最终答案填入\boxed{}中。 | {
"game_data": {
"answer": "192",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"closing_sequence": null,
"expression": "4 + 10 △ 4",
"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 = (x / x) + y.
and ◇, the rules are as follows:
on the real number field, x ◇ y = abs(x / y) + y + x.
and ♡, the rules are as follows:
on the real number field, x ♡ y = y / y * x.
The precedence of operations: ◇ > ⊙ > ** > * = / = % > + = - = ♡。
... | {
"game_data": {
"answer": "2",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"closing_sequence": null,
"expression": "2 ♡ 1 ◇ 6",
"fill_length": null,
"full_sequence": null,
"is_solvable": null,
"language": "english",
"n_types": null,
"nesting_dept... |
logic-v2 | 定义 ○，规则如下：
实数域上，x ○ y = y + abs(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 * 4 ○ 5 * 3
请将最终答案填入\boxed{}中。 | {
"game_data": {
"answer": "75",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"closing_sequence": null,
"expression": "1 * 4 ○ 5 * 3",
"fill_length": null,
"full_sequence": null,
"is_solvable": null,
"language": "chinese",
"n_types": null,
"nesting... |
logic-v2 | Define ⊙, the rules are as follows:
on the real number field, x ⊙ y = y - abs(x * x - y / y).
and ♢, the rules are as follows:
on the real number field, x ♢ y = x - x * y + y - x.
and ◇, the rules are as follows:
when y is a multiple of 3, x ◇ y = y + x ⊙ x - y;
otherwise, x ◇ y = y ** y ⊙ x - (x + y).
The prec... | {
"game_data": {
"answer": "67",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"closing_sequence": null,
"expression": "2 ♢ 6 ◇ 8 ⊙ 2",
"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是奇数时，x ▽ y = abs(y + x)；
其他情况下，x ▽ 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: 6
请将最终答案填入\boxed{}中。 | {
"game_data": {
"answer": "6",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"closing_sequence": null,
"expression": "6",
"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 = abs(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: 8 / 2 △ 2 + 6
请将最终答案填入\boxed{}中。 | {
"game_data": {
"answer": "10",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"closing_sequence": null,
"expression": "8 / 2 △ 2 + 6",
"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 = 2 * y + x。
和 ▽，规则如下：
实数域上，x ▽ y = (1 * y) * x。
和 ⊙，规则如下：
当x是3的倍数时，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: 1 ⊕ 5 ⊙ 3 ▽ 1 + 10 ⊙ 2
请将最终答案填入\boxed{}中。 | {
"game_data": {
"answer": "351",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"closing_sequence": null,
"expression": "1 ⊕ 5 ⊙ 3 ▽ 1 + 10 ⊙ 2",
"fill_length": null,
"full_sequence": null,
"is_solvable": null,
"language": "chinese",
"n_types": null,
... |
logic-v2 | 定义 ⊗，规则如下：
实数域上，x ⊗ y = y * x - 1。
和 ◎，规则如下：
当x和y的和是偶数时，x ◎ y = x ⊗ x / y；
其他情况下，x ◎ y = x + x - y。
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 - 9 ♡ 3 ⊗ 8 ◎ 3
请将最终答案填入\boxed{}中。 | {
"game_data": {
"answer": "168",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"closing_sequence": null,
"expression": "5 - 9 ♡ 3 ⊗ 8 ◎ 3",
"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 = 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 expression: 5 △ 1
Please fill you... | {
"game_data": {
"answer": "6",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"closing_sequence": null,
"expression": "5 △ 1",
"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 = abs(y + x) - y。
和 ⊙，规则如下：
实数域上，x ⊙ y = x + abs(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: 3 ⊙ 7 * 3 □ 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 ⊙ 7 * 3 □ 7",
"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 / y / y + y * (x)。
和 ⊙，规则如下：
实数域上，x ⊙ y = 2 + 4 - 1 * 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 ◎ 4 ⊙ 6
请将最终答案填入\boxed{}中。 | {
"game_data": {
"answer": "-189.902778",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"closing_sequence": null,
"expression": "8 ◎ 4 ⊙ 6",
"fill_length": null,
"full_sequence": null,
"is_solvable": null,
"language": "chinese",
"n_types": null,
"ne... |
logic-v2 | 定义 ♢，规则如下：
当y是偶数时，x ♢ y = 2 - x + 4 + (y) * 2；
其他情况下，x ♢ y = y * y - x * y。
和 ◎，规则如下：
实数域上，x ◎ y = 1 ♢ (x) + x + y。
和 ⊕，规则如下：
当x和y的和是奇数时，x ⊕ y = x - abs(y - y)；
其他情况下，x ⊕ y = y - x + 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 ◎ 7 ♢ 6 ⊕ 5
请将最终答案填入\boxed{}中。 | {
"game_data": {
"answer": "-24",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"closing_sequence": null,
"expression": "10 ◎ 7 ♢ 6 ⊕ 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 = x + x * y。
和 ♡，规则如下：
当x是3的倍数时，x ♡ y = 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: 5 ** 1 ♡ 1 - 8 ☆ 5
请将最终答案填入\boxed{}中。 | {
"game_data": {
"answer": "-43",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"closing_sequence": null,
"expression": "5 ** 1 ♡ 1 - 8 ☆ 5",
"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 = x / y + y；
其他情况下，x ☆ y = abs(y - x * 5) + 4。
和 ◎，规则如下：
当x和y的和是奇数时，x ◎ y = (x - 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: 4 ☆ 4
请将最终答案填入\boxed{}中。 | {
"game_data": {
"answer": "20",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"closing_sequence": null,
"expression": "4 ☆ 4",
"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是奇数时，x ⊙ y = y * abs(4) / x；
其他情况下，x ⊙ y = x ** x * y - x。
和 ♡，规则如下：
实数域上，x ♡ y = y + x - y + x。
和 ☆，规则如下：
实数域上，x ☆ y = 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: 8 ☆ 6 ♡ 7 ⊙ 7
请将最终答案填入\boxed{}中。 | {
"game_data": {
"answer": "0.137255",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"closing_sequence": null,
"expression": "8 ☆ 6 ♡ 7 ⊙ 7",
"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 = x + x + y.
and □, the rules are as follows:
when x is equal to y, x □ y = x - 3 ♡ y;
otherwise, x □ y = x / y * y.
The precedence of operations: ♡ > ** > * = / = % > + = - = □。
Parentheses have the highest priority, and the expression inside th... | {
"game_data": {
"answer": "28",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"closing_sequence": null,
"expression": "10 ♡ 8",
"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 ** 3 * x / y * y;
otherwise, x ◎ y = x * y + 5 * y * 4.
and ⊗, the rules are as follows:
on the real number field, x ⊗ y = x / 1 * y ◎ 4.
The precedence of operations: ◎ > ⊗ > ** > * = / = % > + = -。
Parentheses have the highest priority, an... | {
"game_data": {
"answer": "162",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"closing_sequence": null,
"expression": "7 ◎ 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y是3的倍数时，x ○ y = x - y / x - y * x；
其他情况下，x ○ y = x * 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: 9 ○ 1 * 9
请将最终答案填入\boxed{}中。 | {
"game_data": {
"answer": "6561",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"closing_sequence": null,
"expression": "9 ○ 1 * 9",
"fill_length": null,
"full_sequence": null,
"is_solvable": null,
"language": "chinese",
"n_types": null,
"nesting_d... |
logic-v2 | 定义 ⊗，规则如下：
当y是奇数时，x ⊗ y = x + y / 2；
其他情况下，x ⊗ y = 2 - x * y。
和 ☆，规则如下：
实数域上，x ☆ y = x - x + x ⊗ y。
和 ♡，规则如下：
当y是奇数时，x ♡ y = (x * y) + y + y；
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: 5 * 9 ⊗ 7 ☆ 7 ♡ 2
请将最终答案填入\boxed{}中。 | {
"game_data": {
"answer": "-25.714286",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"closing_sequence": null,
"expression": "5 * 9 ⊗ 7 ☆ 7 ♡ 2",
"fill_length": null,
"full_sequence": null,
"is_solvable": null,
"language": "chinese",
"n_types": null,
... |
logic-v2 | 定义 ◎，规则如下：
实数域上，x ◎ y = (5 * y) - x。
和 △，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: 5 + 10 ◎ 1 ◎ 6 △ 7
请将最终答案填入\boxed{}中。 | {
"game_data": {
"answer": "9.8",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"closing_sequence": null,
"expression": "5 + 10 ◎ 1 ◎ 6 △ 7",
"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 = 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
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：
实数域上，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: 9 □ 9 □ 10 ☆ 6
请将最终答案填入\boxed{}中。 | {
"game_data": {
"answer": "54",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"closing_sequence": null,
"expression": "9 □ 9 □ 10 ☆ 6",
"fill_length": null,
"full_sequence": null,
"is_solvable": null,
"language": "chinese",
"n_types": null,
"nestin... |
logic-v2 | 定义 ♡，规则如下：
当x是奇数时，x ♡ y = 4 + x * y / y；
其他情况下，x ♡ y = x - y * (x) - x。
和 △，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: 5 △ 5 ♡ 9
请将最终答案填入\boxed{}中。 | {
"game_data": {
"answer": "19",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"closing_sequence": null,
"expression": "5 △ 5 ♡ 9",
"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 even, x ○ y = x + y / x;
otherwise, x ○ y = 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: 5 ○ 2 + 9... | {
"game_data": {
"answer": "18",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"closing_sequence": null,
"expression": "5 ○ 2 + 9 / 1",
"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(x - 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: 4 △ 1
Please fill your... | {
"game_data": {
"answer": "-1",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"closing_sequence": null,
"expression": "4 △ 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 is greater than y, x △ y = y + x - y;
otherwise, x △ y = 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 expressio... | {
"game_data": {
"answer": "5",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"closing_sequence": null,
"expression": "5",
"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.
and ⊙, the rules are as follows:
on the real number field, x ⊙ y = y ♡ x.
The precedence of operations: ** > * = / = % = ⊙ > + = - = ♡。
Parentheses have the highest priority, and the expression inside the parentheses is calculated first.
P... | {
"game_data": {
"answer": "96",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"closing_sequence": null,
"expression": "3 ♡ 2 ⊙ 2 ** 4",
"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。
和 ☆，规则如下：
当x是5的倍数时，x ☆ y = (x / y) / y；
其他情况下，x ☆ y = y - y - 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: 8 □ 2 ♡ 1 ☆ 5 / 9
请将最终答案填入\boxed{}中。 | {
"game_data": {
"answer": "0.888889",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"closing_sequence": null,
"expression": "8 □ 2 ♡ 1 ☆ 5 / 9",
"fill_length": null,
"full_sequence": null,
"is_solvable": null,
"language": "chinese",
"n_types": null,
... |
logic-v2 | 定义 ◇，规则如下：
实数域上，x ◇ y = 4 + 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
请将最终答案填入\boxed{}中。 | {
"game_data": {
"answer": "3",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"closing_sequence": null,
"expression": "3",
"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:
when x is equal to y, x ⊕ y = (y / x + x * x + x);
otherwise, x ⊕ y = 5 + x / y - x - x.
and ◎, the rules are as follows:
on the real number field, x ◎ y = x - x + (4 - x ⊕ y).
and ○, the rules are as follows:
when x is odd, x ○ y = x - y ⊕ x;
otherwise, x ○ y = (y) ** 4 ◎ ... | {
"game_data": {
"answer": "4757.12217",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"closing_sequence": null,
"expression": "9 ⊕ 3 ◎ 7 ○ 7",
"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 = 4 - 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: 9 ▽ 7
请将最终答案填入\boxed{}中。 | {
"game_data": {
"answer": "-66",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"closing_sequence": null,
"expression": "9 ▽ 7",
"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3的倍数时，x ♢ y = y * x；
其他情况下，x ♢ y = y + y + x。
和 ⊗，规则如下：
当x和y都是偶数时，x ⊗ y = (y * x + x)；
其他情况下，x ⊗ y = (x ♢ y)。
和 ♡，规则如下：
当y是3的倍数时，x ♡ y = y ⊗ x；
其他情况下，x ♡ 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: 8 ♡ 5 ⊗ 5
请将最终答案填入\boxed{}中。 | {
"game_data": {
"answer": "23",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"closing_sequence": null,
"expression": "8 ♡ 5 ⊗ 5",
"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 * x + y * x + 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 ♡ 10 ⊕ 10 % 1
请将最终答案填入\boxed{}中。 | {
"game_data": {
"answer": "0.666667",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"closing_sequence": null,
"expression": "1 ♡ 10 ⊕ 10 % 1",
"fill_length": null,
"full_sequence": null,
"is_solvable": null,
"language": "chinese",
"n_types": null,
... |
logic-v2 | Define ☆, the rules are as follows:
on the real number field, x ☆ y = (2 + x) + y * y.
and ♢, the rules are as follows:
when x and y are both even, x ♢ y = x * y ☆ y - y - 5;
otherwise, x ♢ y = x * (x * y - y).
The precedence of operations: ☆ = ♢ > ** > * = / = % > + = -。
Parentheses have the highest priority, an... | {
"game_data": {
"answer": "579",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"closing_sequence": null,
"expression": "8 ♢ 8",
"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y是5的倍数时，x ◇ y = abs(y) / 3 - 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: 1 % 6 ◇ 2
请将最终答案填入\boxed{}中。 | {
"game_data": {
"answer": "2",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"closing_sequence": null,
"expression": "1 % 6 ◇ 2",
"fill_length": null,
"full_sequence": null,
"is_solvable": null,
"language": "chinese",
"n_types": null,
"nesting_dept... |
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 / x * 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": "22",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"closing_sequence": null,
"expression": "2 ♡ 6 ▽ 2 ⊕ 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小于y时，x △ y = y + y - x ** x；
其他情况下，x △ y = abs(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 / 2 / 9 △ 4
请将最终答案填入\boxed{}中。 | {
"game_data": {
"answer": "7",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"closing_sequence": null,
"expression": "3 / 2 / 9 △ 4",
"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 = y - y * x * x。
和 ○，规则如下：
当x和y都是奇数时，x ○ y = x * x ☆ x + y / x；
其他情况下，x ○ y = y + 2 + 2 ☆ 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 ○ 6 ○ 3 ☆ 2
请将最终答案填入\boxed{}中。 | {
"game_data": {
"answer": "7",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"closing_sequence": null,
"expression": "5 ○ 6 ○ 3 ☆ 2",
"fill_length": null,
"full_sequence": null,
"is_solvable": null,
"language": "chinese",
"n_types": null,
"nesting_... |
logic-v2 | Define ▽, the rules are as follows:
when x and y are both odd, x ▽ y = 3 * y * x;
otherwise, x ▽ y = y - 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 expres... | {
"game_data": {
"answer": "7.333333",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"closing_sequence": null,
"expression": "9 / 1 ▽ 3 + 7",
"fill_length": null,
"full_sequence": null,
"is_solvable": null,
"language": "english",
"n_types": null,
"n... |
logic-v2 | Define ♡, the rules are as follows:
on the real number field, x ♡ y = x + y.
and ⊕, the rules are as follows:
on the real number field, x ⊕ y = x - x ♡ y.
The precedence of operations: ♡ > ** = ⊕ > * = / = % > + = -。
Parentheses have the highest priority, and the expression inside the parentheses is calculated firs... | {
"game_data": {
"answer": "-9",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"closing_sequence": null,
"expression": "1 ⊕ 8 ♡ 1",
"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 = x / y ** 3 - 2.
and ⊙, the rules are as follows:
when x is a multiple of 3, x ⊙ y = x + x / y;
otherwise, x ⊙ y = x - y * x * x.
and ○, the rules are as follows:
on the real number field, x ○ y = y / x ⊙ x.
The precedence of operations: ○ > ⊗... | {
"game_data": {
"answer": "6.259259",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"closing_sequence": null,
"expression": "5 ⊙ 1 ⊗ 9 ○ 3 % 7",
"fill_length": null,
"full_sequence": null,
"is_solvable": null,
"language": "english",
"n_types": null,
... |
logic-v2 | Define ⊗, the rules are as follows:
when x is odd, x ⊗ y = y + y * x;
otherwise, x ⊗ y = x + y.
and ☆, the rules are as follows:
when the sum of x and y is even, x ☆ y = x + x - y;
otherwise, x ☆ y = y ⊗ x.
and ♡, the rules are as follows:
when x and y are both even, x ♡ y = y * x / x;
otherwise, x ♡ y = x ... | {
"game_data": {
"answer": "12.333333",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"closing_sequence": null,
"expression": "8 ⊗ 3 ♡ 3 ☆ 7 ⊗ 3",
"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 = 1 * 3 - x - x * y；
其他情况下，x ♢ y = abs(y * y * x / y * y)。
和 ⊙，规则如下：
当x大于y时，x ⊙ y = x ♢ y + 3；
其他情况下，x ⊙ y = 2 + y * x / y + y。
和 □，规则如下：
实数域上，x □ y = y - y - 5 + 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 ♢ 8 ⊙ 9 □ 2
请将最终答案填入\boxed{}中。 | {
"game_data": {
"answer": "-72",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"closing_sequence": null,
"expression": "9 ♢ 8 ⊙ 9 □ 2",
"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 = y - x + y + x。
和 ⊙，规则如下：
当x是奇数时，x ⊙ y = x + x + y / 4；
其他情况下，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: 8 ☆ 3 * 2 ⊙ 9
请将最终答案填入\boxed{}中。 | {
"game_data": {
"answer": "-63",
"difficulty": 1,
"gpt_response": "",
"metadata": {
"closing_sequence": null,
"expression": "8 ☆ 3 * 2 ⊙ 9",
"fill_length": null,
"full_sequence": null,
"is_solvable": null,
"language": "chinese",
"n_types": null,
"nestin... |
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