Datasets:
prompt stringlengths 16 931 | think stringlengths 0 9.32k | answer stringlengths 1 9.44k | tier stringclasses 5
values | domain stringclasses 7
values | gold_solution stringlengths 1 250 | seed_id stringlengths 34 47 | complexity_score float64 1 7 | text stringlengths 174 11.9k |
|---|---|---|---|---|---|---|---|---|
When Doctor Lindsay works in her office, she usually sees 4 adult patients and 3 child patients every hour. If the cost for an adult's office visit is x, and the cost for a child's office visit is $25, how much money, in dollars, does Doctor Lyndsay receive in a typical 8-hour day for seeing all her patients?
If we kno... | **1. Heuristic Exploration**
The problem asks for the cost of a single adult patient visit ($x$) given the total revenue generated by Doctor Lindsay over an 8-hour period, assuming a specific patient distribution.
Key constraints and variables:
- **Patient Distribution**: 4 adults/hour, 3 children/hour.
- **Revenue Ra... | 50 | high | math_formal | 50 | SEED_MATH_FORMAL_00106_2617989d_HIGH_C2 | 4.3 | <|im_start|>system
Reasoning effort is set to high. Provide rigorous proof with verification.<|im_end|>
<|im_start|>user
When Doctor Lindsay works in her office, she usually sees 4 adult patients and 3 child patients every hour. If the cost for an adult's office visit is x, and the cost for a child's office visit is $2... |
Where would you find teeth whitening bleachers?
Choices:
A) gymnasium
B) soccer game
C) sporting event
D) pharmacy
E) soccer game
Select the correct answer and explain your reasoning step by step. | 1. Heuristic Exploration:
- The term "teeth whitening bleachers" combines two distinct concepts: "bleachers" as athletic seating and "teeth whitening" as dental care.
- If we interpret "bleachers" literally as stadium seating, the location becomes any sports venue (A, B, C, E).
- However, if we analyze the phr... | D) | mid | science_logic_data | **Answer: D) pharmacy**
The question uses a play on words. While "bleachers" commonly refers to stadium seating (which would point to options A, B, C, or E), "teeth whitening bleachers" refers to **bleaching products** used to whiten teeth. These pr | SEED_SCIENCE_LOGIC_DATA_00449_d258f100_MID_C1 | 2.8 | <|im_start|>system
Reasoning effort is set to medium. Explain step-by-step.<|im_end|>
<|im_start|>user
Where would you find teeth whitening bleachers?
Choices:
A) gymnasium
B) soccer game
C) sporting event
D) pharmacy
E) soccer game
Select the correct answer and explain your reasoning step by step.<|im_end|... |
Update the given code to print out whether the input list is empty or not.
Input: inp_list = [1,2,3] | ### Primary Deductive Proof
Let $L$ be the input list provided by the user. The goal is to determine its emptiness and print a specific message accordingly.
1. **Definition of Emptiness**: In Python, a list $L$ is considered empty if it contains zero elements. Formally, $|L| = 0$.
2. **Logical Condition**: We need ... | ```python
def check_empty(inp_list: list) -> None:
"""Check whether the input list is empty or not and print the result."""
if not inp_list:
print("The list is empty.")
else:
print("The list is not empty.")
# Input
inp_li = []
``` | xhigh | executable_code | ```python
def check_empty(inp_list: list) -> None:
"""Check whether the input list is empty or not and print the result."""
if not inp_list:
print("The list is empty.")
else:
print("The list is not empty.")
# Input
inp_li | SEED_EXECUTABLE_CODE_00146_3516b0c0_XHIGH_C0 | 3 | <|im_start|>system
Reasoning effort is set to maximum. Deliberate thoroughly across all phases.<|im_end|>
<|im_start|>user
Update the given code to print out whether the input list is empty or not.
Input: inp_list = [1,2,3]<|im_end|>
<|im_start|>assistant
<think>
### Primary Deductive Proof
Let $L$ be the input list ... |
The polynomial $x^2 + bx + b$ is a factor of $x^3 + 2x^2 + 2x + c.$ Enter all possible values of $b,$ separated by commas. | The user wants to find all possible values for $b$ given that $P(x) = x^2 + bx + b$ divides $Q(x) = x^3 + 2x^2 + 2x + c$. 1. Setup: Let $Q(x) = P(x)Q_1(x)$, where $Q_1(x)$ is a linear polynomial $x+d$. 2. Expansion: $(x^2 + bx + b)(x+d) = x^3 + dx^2 + bx^2 + bdx + bx + bd = x^3 + (b+d)x^2 + (bd+b)x + bd$. 3. Coefficien... | 1, 2 | low | math_formal | 1, 2 | SEED_MATH_FORMAL_00234_4c05e63a_LOW_C0 | 5.5 | <|im_start|>system
Reasoning effort is set to low. Think briefly, then answer.<|im_end|>
<|im_start|>user
The polynomial $x^2 + bx + b$ is a factor of $x^3 + 2x^2 + 2x + c.$ Enter all possible values of $b,$ separated by commas.<|im_end|>
<|im_start|>assistant
<think>
The user wants to find all possible values for $b$... |
What are the active transport mechanisms by which molecules enter and leave the cell inside vesicles?
Background: Endocytosis and exocytosis are active transport mechanisms in which large molecules enter and leave the cell inside vesicles.
Choices:
A) oxidation and exocytosis
B) endocytosis and oxidation
C) die... | D) | off | science_logic_data | **The correct answer is D) endocytosis and exocytosis.**
**Scientific Reasoning:**
- **Endocytosis** is the process by which cells take in large molecules or particles by engulfing them with the plasma membrane, forming an internal vesicle. This is | SEED_SCIENCE_LOGIC_DATA_00017_0800ad32_OFF | 1 | <|im_start|>system
Reasoning effort is set to off. Answer directly and concisely.<|im_end|>
<|im_start|>user
What are the active transport mechanisms by which molecules enter and leave the cell inside vesicles?
Background: Endocytosis and exocytosis are active transport mechanisms in which large molecules enter and le... | |
Implement a function to calculate the result of raising 2 to the power of n, where n is an integer between 1 and 10^9. The function should have a time complexity of O(log n) and should not use any built-in mathematical functions or operators for exponentiation. | To implement a function that calculates $2^n$ with a time complexity of $O(\log n)$ while avoiding built-in exponentiation operators, I will use the method known as "Exponentiation by Squaring." This technique leverages the properties of powers of two ($2^k$) to reduce the number of multiplications from linear to logar... | ```python
def power_of_two(n: int) -> int:
"""
Calculates 2 raised to the power of n using exponentiation by squaring.
Time Complexity: O(log n)
Space Complexity: O(1)
"""
if n < 0:
raise ValueError("Exponent must be positive")
result = 1
base = 2
while n > 0:
... | high | executable_code | ```python
def power_of_two(n: int) -> int:
"""
Calculate 2^n using exponentiation by squaring.
Args:
n: An integer between 1 and 10^9.
Returns:
The value of 2 raised to the power of n.
Time C | SEED_EXECUTABLE_CODE_00096_26f9343e_HIGH_C2 | 4.5 | <|im_start|>system
Reasoning effort is set to high. Provide rigorous proof with verification.<|im_end|>
<|im_start|>user
Implement a function to calculate the result of raising 2 to the power of n, where n is an integer between 1 and 10^9. The function should have a time complexity of O(log n) and should not use any bu... |
How to define an array in PHP? | To define an array in PHP, you can use the short syntax (introduced in PHP 5.4) using square brackets `[]`, which creates an indexed array with integer keys starting from 0. Alternatively, you can use the traditional `array()` function for more complex initialization.
1. **Indexed Array**:
* Define by simply en... | To define an array in PHP, you can use one of these common approaches depending on your needs:
1. **Indexed Array**: Use square brackets `[]` to create an array with automatic integer keys.
```php
$fruits = ["apple", "banana", "cherry"];
```
2. **Traditional Syntax**: Use the `array()` function if you n... | mid | executable_code | # Defining Arrays in PHP
PHP supports several types of arrays. Here's how to define each:
## 1. Indexed Array (numeric keys)
```php
// Short syntax (PHP 5.4+)
$fruits = ["Apple", "Banana", "Cherry"];
// Traditional syntax
$fruits = array("Apple", | SEED_EXECUTABLE_CODE_00231_598d30a7_MID_C1 | 3 | <|im_start|>system
Reasoning effort is set to medium. Explain step-by-step.<|im_end|>
<|im_start|>user
How to define an array in PHP?<|im_end|>
<|im_start|>assistant
<think>
To define an array in PHP, you can use the short syntax (introduced in PHP 5.4) using square brackets `[]`, which creates an indexed array with in... |
Compress a given string using Run Length Encoding
Input: string="WWWWWWWWWWWWBWWWWWWWWWWWWBBBWWWWWWWWWWWWWWWWWWWWWWWWBWWWWWWWWWWWWWW" | ### Primary Deductive Proof
Let $S$ be the input string of length $n$. We define a sequence of runs as maximal contiguous segments of identical characters in $S$. Let these runs be denoted by $r_1, r_2, \dots, r_k$, where $k \ge 0$.
Each run $r_i$ consists of the same character $c_i \in \{A, B, C, W, X\}$ for some alp... | ```python
def run_length_encoding(s: str) -> str:
"""
Compresses a string using Run Length Encoding (RLE).
Each run of consecutive identical characters is replaced by
the count followed by the character.
Args:
s: The input string to encode.
Returns:
A compressed st... | xhigh | executable_code | ```python
def run_length_encoding(s: str) -> str:
"""
Compress a string using Run Length Encoding (RLE).
Each run of consecutive identical characters is replaced by
the count followed by the character.
Args:
s: T | SEED_EXECUTABLE_CODE_00245_60d1083f_XHIGH_C0 | 3 | <|im_start|>system
Reasoning effort is set to maximum. Deliberate thoroughly across all phases.<|im_end|>
<|im_start|>user
Compress a given string using Run Length Encoding
Input: string="WWWWWWWWWWWWBWWWWWWWWWWWWBBBWWWWWWWWWWWWWWWWWWWWWWWWBWWWWWWWWWWWWWW"<|im_end|>
<|im_start|>assistant
<think>
### Primary Deductive ... |
比较自建软件和购买软件。案例Q1000268有23名成员、每周10小时同步时间；用5个标准。 每次回答都必须逐字使用术语“维护”。只能使用题目明确给出的数字；不得推导或编造比例、百分比、评分、分组人数、日程或估计。 本轮只给出第一次比较，不要提前回答后续问题。使用恰好5个不同的编号标题；例如“标准 1：成本”。每个冒号后的名称必须不同，不得照抄“简短名称”作为名称。 | The user wants to compare self-built software vs. purchased software based on specific constraints: use only given numbers (23, 10, 5, 4, 9), include the word "维护", have exactly 5 numbered titles with unique names, and end with a line starting with "- " followed by "最重要标准：". I need to extract the relevant data from the... | <think>
The task requires comparing self-built vs. purchased software using only the specified digits (23 members, 10h sync/week, 5 criteria) and including the word "维护". It demands exactly 5 unique numbered headers and a final line starting with "- ". I will synthesize the analysis into three key points focusing on co... | low | multilingual_native | 用户要求用3个要点总结，明确最重要的标准。必须逐字使用"维护"，只能使用题目给出的数字（23、10、5、4、9），恰好3行以"- "开头，随后另起一行写"最重要标准：..."，该行不得使用项目符号或编号。
- 在跨越4个时区、异步延迟9小时的条件下，自建软件的开发与维护成本因协作效率下降而显著放大，购买软件在成本可控性和上线速度方面均表现更优。
- 23名成员每周仅有10小时同步时间，难以支撑自建方案所需的密集跨时区协调，购买软件对实时协作的依赖更低，更适配当前团队的异步工作模式。
- 无论选 | SEED_MULTILINGUAL_NATIVE_00241_qv4_910b_LOW | 1 | <|im_start|>system
Reasoning effort is set to low. Think briefly, then answer.<|im_end|>
<|im_start|>user
比较自建软件和购买软件。案例Q1000268有23名成员、每周10小时同步时间；用5个标准。 每次回答都必须逐字使用术语“维护”。只能使用题目明确给出的数字；不得推导或编造比例、百分比、评分、分组人数、日程或估计。 本轮只给出第一次比较，不要提前回答后续问题。使用恰好5个不同的编号标题；例如“标准 1：成本”。每个冒号后的名称必须不同，不得照抄“简短名称”作为名称。<|im_end|>
<|im_start|>assista... |
How many ways are there to place 7 balls into 3 boxes if the balls are distinguishable and the boxes are distinguishable? | 2187 | off | math_formal | 2187 | SEED_MATH_FORMAL_00088_210f6fba_OFF | 1 | <|im_start|>system
Reasoning effort is set to off. Answer directly and concisely.<|im_end|>
<|im_start|>user
How many ways are there to place 7 balls into 3 boxes if the balls are distinguishable and the boxes are distinguishable?<|im_end|>
<|im_start|>assistant
2187<|im_end|> | |
When picking up drinks, what kind requires you to hold them by the neck?
Choices:
A) glass
B) shoulder
C) body
D) guillotine
E) bottle
Select the correct answer and explain your reasoning step by step. | To determine which drink container requires being held by the neck, we must analyze the physical structure of the options provided in relation to standard usage practices for picking up liquids.
1. **Analyze Option A (glass):**
- A glass is a broad category that includes various types like tumblers, highballs, and ... | E) bottle | high | science_logic_data | **Answer: E) bottle**
A bottle is the correct answer because it is the only drink container listed that has a part specifically called a "neck" — the narrow section at the top. When picking up a bottle (such as a wine or beer bottle), you naturally | SEED_SCIENCE_LOGIC_DATA_00232_6ec91f64_HIGH_C1 | 2.8 | <|im_start|>system
Reasoning effort is set to high. Provide rigorous proof with verification.<|im_end|>
<|im_start|>user
When picking up drinks, what kind requires you to hold them by the neck?
Choices:
A) glass
B) shoulder
C) body
D) guillotine
E) bottle
Select the correct answer and explain your reasoning... |
Synthetic task seed (identity only): 40006314.
A synthetic vehicle travels 121 m in 11 s at constant speed. Compute speed in m/s as a reduced decimal or fraction and check units.
Final-answer protocol: include exactly one final line with this literal shape: `Answer: <reduced fraction or finite decimal> m/s`. Do not u... | 1. **Heuristic Exploration**:
- The problem asks for the speed of a vehicle given its travel distance and duration.
- Key concept: Speed is defined as Distance divided by Time ($v = d/t$).
- Constraints: "Constant speed," "reduced decimal/fraction," "check units."
- Goal: Calculate $v$, ensure it is a valid... | To find the speed of the vehicle, we divide the total distance by the total time taken.
$$ v = \frac{\text{Distance}}{\text{Time}} = \frac{121 \, \text{m}}{11 \, \text{s}} $$
Performing the division:
$$ 121 \div 11 = 11 \, \text{m/s} $$
This yields an integer value, which serves as both a reduced fraction ($\frac{1... | mid | science_logic_data | Distance = 121 m
Time = 11 s
Constant speed implies speed = distance / time.
Compute: 121 / 11 = 11, since 11 × 11 = 121.
Reduced fraction: 121/11 = 11/1 = 11.
Units check: m ÷ s = m/s.
Answer: 11 m/s | SEED_SCIENCE_LOGIC_DATA_00272_847b6929_MID_C1 | 3.6 | <|im_start|>system
Reasoning effort is set to medium. Explain step-by-step.<|im_end|>
<|im_start|>user
Synthetic task seed (identity only): 40006314.
A synthetic vehicle travels 121 m in 11 s at constant speed. Compute speed in m/s as a reduced decimal or fraction and check units.
Final-answer protocol: include exact... |
Charlie has boots that are five times the size of Sophie's. If Sophie wears size five boots, what is the average size of shoe worn by the two? | ### Phase 1: Heuristic Exploration
The problem asks for the average size of shoes worn by two individuals, Charlie and Sophie.
- **Given:** Sophie wears size 5.
- **Condition:** Charlie's boot size is five times Sophie's boot size.
- **Goal:** Calculate the arithmetic mean (average) of their sizes.
**Key Constraints:*... | 15 | xhigh | math_formal | 15 | SEED_MATH_FORMAL_00219_46b7c6a9_XHIGH_C0 | 3.5 | <|im_start|>system
Reasoning effort is set to maximum. Deliberate thoroughly across all phases.<|im_end|>
<|im_start|>user
Charlie has boots that are five times the size of Sophie's. If Sophie wears size five boots, what is the average size of shoe worn by the two?<|im_end|>
<|im_start|>assistant
<think>
### Phase 1: H... |
What type of science is the study of matter and energy and includes chemistry and physics?
Background: Physical science is the study of matter and energy. It includes chemistry and physics.
Choices:
A) genetics
B) Earth science
C) biology
D) physical science
Select the correct answer and explain your scienti... | The user wants to identify the science studying matter and energy, specifically one that includes chemistry and physics. I will evaluate the options based on standard definitions of scientific disciplines. Physics and Chemistry are fundamental natural sciences dealing with matter and energy. Option D, "physical science... | The correct answer is D) physical science. Physical science is the branch of science dedicated to the study of matter and energy. By definition, it encompasses chemistry and physics, which are their respective sub-disciplines within this field. Options A, B, and C focus on biology or Earth-specific phenomena rather tha... | low | science_logic_data | **Answer: D) Physical science**
Physical science is the branch of science that studies matter and energy. It encompasses both chemistry (the study of the composition and properties of matter) and physics (the study of energy and how it interacts wit | SEED_SCIENCE_LOGIC_DATA_00279_8669c475_LOW_C1 | 2.8 | <|im_start|>system
Reasoning effort is set to low. Think briefly, then answer.<|im_end|>
<|im_start|>user
What type of science is the study of matter and energy and includes chemistry and physics?
Background: Physical science is the study of matter and energy. It includes chemistry and physics.
Choices:
A) genetics... |
Create a class in Java with two methods, get and set. | public class Person {
private String name;
public Person() {}
public void setName(String name) {
this.name = name;
}
public String getName() {
return this.name;
}
} | off | executable_code | # Java Class with Getter and Setter
Here's a simple Java class with `get` and `set` methods:
```java
public class Person {
private String name;
// Getter
public String getName() {
return name;
}
// Setter
public vo | SEED_EXECUTABLE_CODE_00277_6d468afa_OFF | 1 | <|im_start|>system
Reasoning effort is set to off. Answer directly and concisely.<|im_end|>
<|im_start|>user
Create a class in Java with two methods, get and set.<|im_end|>
<|im_start|>assistant
public class Person {
private String name;
public Person() {}
public void setName(String name) {
this.n... | |
What is potential energy?
Choices:
A) The energy an object has due to its motion.
B) The energy an object has due to its position.
C) The energy that increases the mass of an object.
D) The energy that increases the temperature of an object.
Select the correct answer and explain your reasoning. | **Primary Rigorous Proof: Definition Analysis via Thermodynamics and Mechanical Work**
To determine the correct definition of potential energy, I will analyze the fundamental equations governing mechanical systems and thermodynamics. The core concept distinguishing kinetic from potential energy lies in their dependenc... | B) The energy an object has due to its position. | high | science_logic_data | **The correct answer is B) The energy an object has due to its position.**
**Reasoning:** Potential energy is stored energy that an object possesses because of its position, condition, or configuration. For example, a book on a high shelf has gravit | SEED_SCIENCE_LOGIC_DATA_00170_514a6220_HIGH_C2 | 2.8 | <|im_start|>system
Reasoning effort is set to high. Provide rigorous proof with verification.<|im_end|>
<|im_start|>user
What is potential energy?
Choices:
A) The energy an object has due to its motion.
B) The energy an object has due to its position.
C) The energy that increases the mass of an object.
D) The ... |
Between each customer some times a waiter is required to do what?
Choices:
A) present bill
B) serve meal
C) take order
D) serve food
E) set table
Select the correct answer and explain your reasoning step by step. | 1. **Problem Setup**: The core constraint is the temporal sequence defined as "between each customer." This implies an action performed in the interval immediately following a customer's departure and prior to another customer's arrival.
2. **Step-by-Step Derivation**:
* Analyze the lifecycle of a dining sessi... | **Answer: E) set table** | mid | science_logic_data | **Answer: E) set table**
**Reasoning:** The key phrase is "between each customer." After one customer finishes and leaves, and before the next customer is seated, the waiter must clear the previous dishes and **set the table** (place clean utensils, | SEED_SCIENCE_LOGIC_DATA_00308_90f8330c_MID_C0 | 2.8 | <|im_start|>system
Reasoning effort is set to medium. Explain step-by-step.<|im_end|>
<|im_start|>user
Between each customer some times a waiter is required to do what?
Choices:
A) present bill
B) serve meal
C) take order
D) serve food
E) set table
Select the correct answer and explain your reasoning step b... |
Which of the following actions will increase the gravitational force between two masses, m_{1} and m_{2}, by the greatest amount?
Choices:
A) Halve the mass of m_{1} and halve the distance between m_{1} and m_{2}.
B) Halve the mass of m_{1} and double the distance between m_{1} and m_{2}.
C) Double the mass of m... | ### Phase 1: Heuristic Exploration
The problem asks to identify which modification to the parameters $m_1$ and $r$ results in the greatest increase in the gravitational force $F$. The relationship is defined by Newton's Law of Universal Gravitation:
$$ F = k \frac{m_1 m_2}{r^2} $$
where $k$ is the gravitational constan... | C) Double the mass of \(m_1\) and halve the distance between \(m_1\) and \(m_2\). | xhigh | science_logic_data | **C) Double the mass of \(m_1\) and halve the distance between \(m_1\) and \(m_2\).**
Because gravitational force is proportional to mass and inversely proportional to distance squared, doubling one mass multiplies the force by 2, and halving the di | SEED_SCIENCE_LOGIC_DATA_00277_860834d2_XHIGH_C2 | 3.6 | <|im_start|>system
Reasoning effort is set to maximum. Deliberate thoroughly across all phases.<|im_end|>
<|im_start|>user
Which of the following actions will increase the gravitational force between two masses, m_{1} and m_{2}, by the greatest amount?
Choices:
A) Halve the mass of m_{1} and halve the distance betwe... |
During a basketball game, Shenille attempted a combination of three-point shots and two-point shots. She made 20% of her three-point shots and 30% of her two-point shots. In total, she attempted 30 shots. How many points did Shenille score? | The user wants to find the total points scored by Shenille based on given statistics about her shooting percentages and total attempts. Step 1: Define variables for attempted shots. Let $x$ be the number of 3-point attempts and $y$ be the number of 2-point attempts. Step 2: Set up equations. Equation 1: $x + y = 30$. E... | Shenille scores 18 points. Calculation breakdown: 1. Let $x$ be three-point attempts and $y$ be two-point attempts. We know $x + y = 30$. 2. Points from three-pointers: $3 \times 0.2x = 0.6x$. 3. Points from two-pointers: $2 \times 0.3y = 0.6y$. 4. Total points: $0.6x + 0.6y = 0.6(x + y) = 0.6(30) = 18$. The total poin... | low | math_formal | 18 | SEED_MATH_FORMAL_00161_343e47ac_LOW_C2 | 3.5 | <|im_start|>system
Reasoning effort is set to low. Think briefly, then answer.<|im_end|>
<|im_start|>user
During a basketball game, Shenille attempted a combination of three-point shots and two-point shots. She made 20% of her three-point shots and 30% of her two-point shots. In total, she attempted 30 shots. How many ... |
The three angles in a triangle add up to 180 degrees. One angle is twice the smallest angle, and one angle is three times the smallest angle. What is the measure of the largest angle in the triangle, in degrees? | 90 | off | math_formal | 90 | SEED_MATH_FORMAL_00430_880923c1_OFF | 1 | <|im_start|>system
Reasoning effort is set to off. Answer directly and concisely.<|im_end|>
<|im_start|>user
The three angles in a triangle add up to 180 degrees. One angle is twice the smallest angle, and one angle is three times the smallest angle. What is the measure of the largest angle in the triangle, in degrees?... | |
If all five angles of a figure are the same and the perimeter of the figure is 23.4 centimeters (cm), find how many centimeters (cm) is the length of one side of the figure. | **Primary Rigorous Proof**
Let $P$ denote the perimeter of the figure and $n$ be the number of its sides. We are given $n=5$.
We are also given that "all five angles of a figure are the same."
In Euclidean geometry, for a convex polygon with $n$ sides to have congruent interior angles, it must be a regular polygon.
Fo... | 4.68 | high | math_formal | 4.68 | SEED_MATH_FORMAL_00075_1e08568a_HIGH_C0 | 3.5 | <|im_start|>system
Reasoning effort is set to high. Provide rigorous proof with verification.<|im_end|>
<|im_start|>user
If all five angles of a figure are the same and the perimeter of the figure is 23.4 centimeters (cm), find how many centimeters (cm) is the length of one side of the figure.<|im_end|>
<|im_start|>ass... |
Synthetic task seed (identity only): 10004477.
Solve the unique system 4x + 7y = 32 and 3x + 4y = 19. Return x,y and verify determinant is nonzero.
FINAL ANSWER PROTOCOL (mandatory): End with exactly one line in the form `Answer: <x>,<y>`. Do not place `Answer:` on any other line, and do not wrap the final line in ba... | To find the values of $x$ and $y$ satisfying the system $4x + 7y = 32$ and $3x + 4y = 19$, we apply Cramer's Rule. The coefficient matrix is $A = \begin{pmatrix} 4 & 7 \\ 3 & 4 \end{pmatrix}$. The determinant $\det(A)$ is calculated as $4(4) - 7(3) = 16 - 21 = -5$. Since $-5 \neq 0$, the system has a unique solution.
... | Answer: 1,4 | mid | math_formal | Solve:
- 4x + 7y = 32
- 3x + 4y = 19
Determinant of the coefficient matrix:
- det = 4·4 − 7·3 = 16 − 21 = −5 ≠ 0, so the system has a unique solution.
Eliminate x: multiply the first equation by 3 and the second by 4:
- 12x + 21y = 96
- 12x + 16y = | SEED_MATH_FORMAL_00098_22def9af_MID_C2 | 4.3 | <|im_start|>system
Reasoning effort is set to medium. Explain step-by-step.<|im_end|>
<|im_start|>user
Synthetic task seed (identity only): 10004477.
Solve the unique system 4x + 7y = 32 and 3x + 4y = 19. Return x,y and verify determinant is nonzero.
FINAL ANSWER PROTOCOL (mandatory): End with exactly one line in the... |
What type of reactions are chemical reactions that release energy?
Background: Chemical reactions that release energy are called exothermic reactions . An example is the combustion of methane described at the beginning of this lesson. In organisms, exothermic reactions are called catabolic reactions . Catabolic reacti... | ### Primary Deductive Proof
1. **Analysis of the Query**: The user is asking to identify the specific class of chemical reactions characterized by releasing energy from the provided context.
2. **Extraction of Definitions**: I examine the `<tc_meta>` section which contains the relevant textual evidence.
* Text... | B) exothermic reactions
**Scientific Reasoning:**
By definition, chemical reactions that release energy (specifically heat) to their surroundings are classified as **exothermic reactions**. As stated in the provided background text, "Chemical reactions that release energy are called exothermic reactions." This distinc... | xhigh | science_logic_data | **The correct answer is B) exothermic reactions.**
**Scientific reasoning:** By definition, exothermic reactions are chemical reactions that release energy (typically in the form of heat, light, or sound) to their surroundings. The prefix "exo-" mea | SEED_SCIENCE_LOGIC_DATA_00090_2c5466a8_XHIGH_C0 | 3.6 | <|im_start|>system
Reasoning effort is set to maximum. Deliberate thoroughly across all phases.<|im_end|>
<|im_start|>user
What type of reactions are chemical reactions that release energy?
Background: Chemical reactions that release energy are called exothermic reactions . An example is the combustion of methane desc... |
Find the sum of the first 10 natural numbers using a loop in C. | The user wants the code and explanation for calculating the sum of the first 10 natural numbers using a loop in C. I will provide a clean C program with comments explaining each step, followed by a brief summary table showing how the loop accumulates the total. | ```c
#include <stdio.h> int main() { int sum = 0; // Initialize sum variable to 0 for (int i = 1; i <= 10; i++) { // Loop from 1 to 10 inclusive sum += i; // Add current number to the running total } printf("Sum of the first 10 natural numbers: %d\n", sum); // Print the final result return 0; }
``` This program initial... | low | executable_code | # Sum of First 10 Natural Numbers in C
```c
#include <stdio.h>
int main() {
int sum = 0;
for (int i = 1; i <= 10; i++) {
sum += i;
}
printf("Sum of the first 10 natural numbers: %d\n", sum);
return 0;
}
```
## Output | SEED_EXECUTABLE_CODE_00355_8bec4ff5_LOW_C0 | 3 | <|im_start|>system
Reasoning effort is set to low. Think briefly, then answer.<|im_end|>
<|im_start|>user
Find the sum of the first 10 natural numbers using a loop in C.<|im_end|>
<|im_start|>assistant
<think>
The user wants the code and explanation for calculating the sum of the first 10 natural numbers using a loop i... |
Alice needs to sell $1000 of shoes to meet her quota. Adidas cost $45, Nike cost $60, and Reeboks cost $35. If she sells 8 Nikes, 6 Adidas's, and 9 Reeboks, how much is she short or above her goal? | 65 | off | math_formal | 65 | SEED_MATH_FORMAL_00301_60669b27_OFF | 1 | <|im_start|>system
Reasoning effort is set to off. Answer directly and concisely.<|im_end|>
<|im_start|>user
Alice needs to sell $1000 of shoes to meet her quota. Adidas cost $45, Nike cost $60, and Reeboks cost $35. If she sells 8 Nikes, 6 Adidas's, and 9 Reeboks, how much is she short or above her goal?<|im_end|>
<|i... | |
What would you do with your plumbing to a plumber if it is broken?
Choices:
A) synagogue
B) water fountain
C) show
D) central
E) oil refineries
Select the correct answer and explain your reasoning step by step. | **Primary Reasoning Trace:**
1. **Analyze the Context:** The scenario involves a broken plumbing system requiring intervention from a specific type of professional—a plumber. The core task is to identify the appropriate action one would perform upon encountering this situation.
2. **Evaluate Option A (synagogue):** T... | C) show | high | science_logic_data | **Answer: C) show**
If your plumbing is broken, you would **show** it to a plumber. This is the only choice that represents a logical action you would take when presenting a problem to a professional for repair. | SEED_SCIENCE_LOGIC_DATA_00209_64c0a3ba_HIGH_C1 | 2.8 | <|im_start|>system
Reasoning effort is set to high. Provide rigorous proof with verification.<|im_end|>
<|im_start|>user
What would you do with your plumbing to a plumber if it is broken?
Choices:
A) synagogue
B) water fountain
C) show
D) central
E) oil refineries
Select the correct answer and explain your ... |
Begin a claustrophobic science-fiction scene set in a abandoned polar telescope. Introduce a woven sensor ribbon and the characters Mira and Leonie. Aim for 190-230 words (never outside 180-240). End with exactly two sentences: the penultimate sentence must begin with the literal word 'Either' and contain ' or ' betwee... | To fulfill the request, I will construct a claustrophobic science-fiction scene featuring an abandoned polar telescope. I will introduce the character Mira and the scientist Leonie. I will establish the presence of a woven sensor ribbon as a critical component of the plot. The core conflict will be a binary choice invo... | Mira stood amidst the frozen silence of the abandoned observatory, staring at the glowing, intricate lattice of the sensor ribbon coiled on the control panel. The cold seeped through the insulation, threatening to short-circuit the delicate fiber threads designed to map cosmic currents. Beside her, Leonie adjusted the ... | mid | dialogue_humanities | Mira reached for the ribbon where it pooled near Leonie's knee, the filaments warm against her frozen fingers. She had assumed it was passive—a diagnostic tool, nothing more. She was wrong. When she pulled a strand free from the housing seam, the ent | SEED_DIALOGUE_HUMANITIES_00201_qv4_45ab_MID | 1.8 | <|im_start|>system
Reasoning effort is set to medium. Explain step-by-step.<|im_end|>
<|im_start|>user
Begin a claustrophobic science-fiction scene set in a abandoned polar telescope. Introduce a woven sensor ribbon and the characters Mira and Leonie. Aim for 190-230 words (never outside 180-240). End with exactly two ... |
What is the distance between the nuclei of two identical atoms bonded together called?
Background: Atomic radius is determined as the distance between the nuclei of two identical atoms bonded together.
Choices:
A) bond radius
B) cycle radius
C) sleep radius
D) atomic radius
Select the correct answer and expl... | **Primary Deductive Proof**
1. **Analysis of the Definitions**:
* The problem statement provides a specific definition: "Atomic radius is determined as the distance between the nuclei of two identical atoms bonded together."
* Let $r$ be the internuclear separation distance (distance between the centers o... | D) atomic radius | xhigh | science_logic_data | **The correct answer is D) atomic radius.**
**Scientific Reasoning:**
The **atomic radius** is defined as the distance between the nuclei of two identical atoms that are bonded together. More precisely, it is often taken as *half* the internuclear | SEED_SCIENCE_LOGIC_DATA_00005_02d383cd_XHIGH_C1 | 2.8 | <|im_start|>system
Reasoning effort is set to maximum. Deliberate thoroughly across all phases.<|im_end|>
<|im_start|>user
What is the distance between the nuclei of two identical atoms bonded together called?
Background: Atomic radius is determined as the distance between the nuclei of two identical atoms bonded toge... |
Design an API endpoint that takes two numbers and returns the sum of the two using JavaScript | The user wants a JavaScript API endpoint summing two numbers. The prompt explicitly asks for JavaScript but allows me to use any language if needed. I will stick to JavaScript/Node.js with Express as it's standard for backend APIs. Plan: 1. Initialize minimal Node.js + Express project. 2. Create a route `/sum` acceptin... | ```javascript
// server.js
const express = require('express');
const app = express();
const PORT = 3000;
app.use(express.json()); // For POST bodies
app.use(express.urlencoded({ extended: true })); // For form data
// Route: /sum
app.get('/sum', (req, res) => {
const { a, b } = req.query; // Get from URL
if (!a |... | low | executable_code | ```python
"""
A simple REST API that takes two numbers and returns their sum.
Uses Flask to create the endpoint.
Run with: python app.py
Test with:
GET: curl "http://localhost:5000/sum?a=3&b=5"
POST: curl -X POST http://localhost:5000/sum -H "C | SEED_EXECUTABLE_CODE_00395_9a6f9b54_LOW_C2 | 3 | <|im_start|>system
Reasoning effort is set to low. Think briefly, then answer.<|im_end|>
<|im_start|>user
Design an API endpoint that takes two numbers and returns the sum of the two using JavaScript<|im_end|>
<|im_start|>assistant
<think>
The user wants a JavaScript API endpoint summing two numbers. The prompt explici... |
Why do people go to see others playing baseball?
Choices:
A) pain
B) delight
C) entertainment
D) stupid
E) fun
Select the correct answer and explain your reasoning step by step. | C) entertainment | off | science_logic_data | **Answer: C) entertainment**
Watching others play baseball is a spectator activity, and spectator activities fall under the category of **entertainment**. People attend baseball games to be entertained by the skill, competition, and excitement of th | SEED_SCIENCE_LOGIC_DATA_00371_ae2cb71b_OFF | 1 | <|im_start|>system
Reasoning effort is set to off. Answer directly and concisely.<|im_end|>
<|im_start|>user
Why do people go to see others playing baseball?
Choices:
A) pain
B) delight
C) entertainment
D) stupid
E) fun
Select the correct answer and explain your reasoning step by step.<|im_end|>
<|im_start|... | |
Before we are able to run what do we need to know how to do?
Choices:
A) act quickly
B) learn to walk
C) stretches
D) buy shoes
E) go quickly
Select the correct answer and explain your reasoning step by step. | ### Phase 1: Heuristic Exploration
The task requires identifying a prerequisite capability necessary to execute the action "run."
* **Action:** Run (locomotion at high velocity).
* **Biological/Physical Context:** Human locomotion typically progresses through stages: crawling $\rightarrow$ walking $\rightarrow$ jog... | B) learn to walk | high | science_logic_data | **Answer: B) learn to walk**
Walking is the prerequisite skill for running. In human development, children first learn to walk, and only after mastering that skill do they progress to running. Running is essentially a faster, more advanced form of t | SEED_SCIENCE_LOGIC_DATA_00075_2544bd45_HIGH_C2 | 2.8 | <|im_start|>system
Reasoning effort is set to high. Provide rigorous proof with verification.<|im_end|>
<|im_start|>user
Before we are able to run what do we need to know how to do?
Choices:
A) act quickly
B) learn to walk
C) stretches
D) buy shoes
E) go quickly
Select the correct answer and explain your re... |
What is the greatest possible three-digit number that is divisible by 3 and divisible by 6? | 1. **Problem Setup**: The goal is to find the maximum integer $N$ such that $100 \le N \le 999$, $N$ is divisible by 3, and $N$ is divisible by 6. Note that if an integer is divisible by 6, it is necessarily divisible by 3 because $6 = 2 \times 3$. Thus, we only need to maximize $N$ subject to $N \equiv 0 \pmod 6$.
2... | 996 | mid | math_formal | 996 | SEED_MATH_FORMAL_00056_17f37e28_MID_C1 | 3.5 | <|im_start|>system
Reasoning effort is set to medium. Explain step-by-step.<|im_end|>
<|im_start|>user
What is the greatest possible three-digit number that is divisible by 3 and divisible by 6?<|im_end|>
<|im_start|>assistant
<think>
1. **Problem Setup**: The goal is to find the maximum integer $N$ such that $100 \le... |
Find the sum of the first 10 natural numbers using a loop in C. | ### Phase 1: Heuristic Exploration
The task requires calculating the sum of the first $N$ natural numbers ($N=10$) using a loop in C. The standard mathematical formula for this sum is $\frac{N(N+1)}{2}$, but the prompt explicitly mandates using a **loop**. This implies iterative accumulation.
Key constraints and requi... | #include <stdio.h>
int main() {
int sum = 0;
for (int i = 1; i <= 10; i++) {
sum += i;
}
printf("Sum of the first 10 natural numbers: %d\n", sum);
return 0;
} | xhigh | executable_code | # Sum of First 10 Natural Numbers in C
```c
#include <stdio.h>
int main() {
int sum = 0;
for (int i = 1; i <= 10; i++) {
sum += i;
}
printf("Sum of the first 10 natural numbers: %d\n", sum);
return 0;
}
```
## Output | SEED_EXECUTABLE_CODE_00355_8bec4ff5_XHIGH_C0 | 3 | <|im_start|>system
Reasoning effort is set to maximum. Deliberate thoroughly across all phases.<|im_end|>
<|im_start|>user
Find the sum of the first 10 natural numbers using a loop in C.<|im_end|>
<|im_start|>assistant
<think>
### Phase 1: Heuristic Exploration
The task requires calculating the sum of the first $N$ nat... |
Which of these includes Earth?
Choices:
A) the asteroid belt
B) the Andromeda Galaxy
C) the solar system
D) the Eagle Nebula
Select the correct answer and explain your reasoning. | The user wants to identify which of the given choices includes Earth. I will evaluate each option based on astronomical knowledge. 1. Asteroid Belt: Located between Mars and Jupiter. Earth is outside this region. Incorrect. 2. Andromeda Galaxy: A separate galaxy containing stars, not our solar system or Earth. Incorrec... | C) the solar system Earth is the third planet from the Sun and is definitively part of our solar system. The other options are all structures that do not contain Earth: the asteroid belt is a specific region between Mars and Jupiter, the Andromeda Galaxy is a separate galaxy ~2.5 million light-years away, and the Eagle... | low | science_logic_data | **C) the solar system**
Earth is the third planet from the Sun and is a member of our solar system. The other options are all structures that do not contain Earth: the asteroid belt is a specific region between Mars and Jupiter, the Andromeda Galaxy | SEED_SCIENCE_LOGIC_DATA_00394_b7c3b262_LOW_C0 | 2.8 | <|im_start|>system
Reasoning effort is set to low. Think briefly, then answer.<|im_end|>
<|im_start|>user
Which of these includes Earth?
Choices:
A) the asteroid belt
B) the Andromeda Galaxy
C) the solar system
D) the Eagle Nebula
Select the correct answer and explain your reasoning.<|im_end|>
<|im_start|>ass... |
The ratio of girls to boys in Mr. Lee's physics class is 4:3. If there are a total of 56 students, how many boys are in Mr. Lee's physics class? | 24 | off | math_formal | 24 | SEED_MATH_FORMAL_00062_197f1e07_OFF | 1 | <|im_start|>system
Reasoning effort is set to off. Answer directly and concisely.<|im_end|>
<|im_start|>user
The ratio of girls to boys in Mr. Lee's physics class is 4:3. If there are a total of 56 students, how many boys are in Mr. Lee's physics class?<|im_end|>
<|im_start|>assistant
24<|im_end|> | |
Determine the smallest positive integer that is divisible by both 30 and 40 but not divisible by 16. | **Primary Rigorous Proof**
Let $S$ be the set of positive integers divisible by both 30 and 40. We seek the minimum element $s \in S$ such that $s \not\equiv 0 \pmod{16}$.
1. **Characterization of Set S**:
A positive integer $n$ is divisible by both $a$ and $b$ if and only if $n$ is divisible by $\text{lcm}(a, b... | 120 | high | math_formal | 120 | SEED_MATH_FORMAL_00413_83429d49_HIGH_C2 | 3.5 | <|im_start|>system
Reasoning effort is set to high. Provide rigorous proof with verification.<|im_end|>
<|im_start|>user
Determine the smallest positive integer that is divisible by both 30 and 40 but not divisible by 16.<|im_end|>
<|im_start|>assistant
<think>
**Primary Rigorous Proof**
Let $S$ be the set of positive... |
How would you determine if a given number is a prime number? | To determine whether a given integer $n$ is a prime number, we must verify that its only positive divisors are 1 and $n$. The most efficient deterministic approach for integers relies on trial division.
**Primary Deductive Proof:**
A composite number $n > 1$ must have at least one divisor $d$ such that $1 < d \le \sqr... | ```python
import math
def is_prime(n: int) -> bool:
"""
Determines if an integer n is a prime number using trial division.
A prime number is defined as a natural number greater than 1 that has no
positive divisors other than 1 and itself.
Args:
n: The integer to check.
... | mid | executable_code | ```python
import math
def is_prime(n: int) -> bool:
"""
Determine if a given integer is a prime number.
A prime number is a natural number greater than 1 that has no
positive divisors other than 1 and itself.
Args:
n: | SEED_EXECUTABLE_CODE_00088_217f6be0_MID_C2 | 3 | <|im_start|>system
Reasoning effort is set to medium. Explain step-by-step.<|im_end|>
<|im_start|>user
How would you determine if a given number is a prime number?<|im_end|>
<|im_start|>assistant
<think>
To determine whether a given integer $n$ is a prime number, we must verify that its only positive divisors are 1 and... |
End of preview. Expand in Data Studio
Thinking Cap Tier Curricula — Complete Reasoning Alignment Suite (TCS v4)
Dataset Release v1.2 (Sept 2026) — Clean Delimiters & Zero-Padding Architecture: In v1.2, all 13,477 SFT samples and 3,187 SimPO preference pairs have undergone an automated token purge:
- Zero
<|pad|>batch residues: 100% eliminated across all files.- Zero reasoning leakage into final answers: Deliberation stays strictly inside
<think>...</think>, and answers provide direct, non-repetitive conclusions.- Native ChatML tokens: Fully standardized on native atomic
<think>and</think>tokens without legacy intermediate wrapper tags.- Clean sequence termination: Every sequence cleanly terminates with
<|im_end|>.
This repository provides the complete, fully audited, and pedagogically ordered reasoning curriculum for post-training language models under the Thinking Cap Tiers (TCS v4 Cognitive Governance Standard).
Totaling ~36.3M tokens (22.8M SFT + 13.5M SimPO), this suite equips models with dynamic cognitive depth governance: the ability to seamlessly transition from immediate, direct answers (effort=off) to 4-phase formal deliberative proofs (effort=xhigh), reinforced by contrastive preference alignment without behavioral degradation.
1. Composition & Key Figures
- SFT Curricula (
qwen_sft_curricula_v4.jsonl): 13,477 curated traces (~22.82M tokens, 91.97 MB) - SimPO Preferences (
qwen_simpo_preference_v4.jsonl): 3,187 contrastive pairs (~13.48M tokens, 50.88 MB) - Total Volume: ~36.30M tokens (142.85 MB)
- Quality Audit: 100% Pass (0 corrupt JSONs, 0 legacy tags, 0 unclosed thoughts, 100%
<|im_end|>termination).
2. The Thinking Cap Tiers (TCS v4 Cognitive Architecture)
Models trained with this curriculum obey an explicit system directive specifying the reasoning budget:
| Tier | System Directive | Reasoning Behavior | Output Constraints | SFT Count |
|---|---|---|---|---|
| OFF | Reasoning effort is set to off. Answer directly and concisely. |
Immediate Brake: Emits the final answer without any <think> block. Zero introspection. |
≤ 50 words, ends in <|im_end|> |
1,500 (11.1%) |
| LOW | Reasoning effort is set to low. Think briefly, then answer. |
Agile Deduction: Rapid single-pass derivation, verified directly. | ~150 – 250 words | 3,000 (22.3%) |
| MID | Reasoning effort is set to medium. Explain step-by-step. |
Pedagogical Linearity: Structured, transparent derivation with pedagogical transitions. | ~300 – 500 words | 3,500 (26.0%) |
| HIGH | Reasoning effort is set to high. Provide rigorous proof with verification. |
Dual-Branch Proof: Formal proof accompanied by secondary sanity check or edge-case validation. | ~600 – 900 words | 3,000 (22.3%) |
| XHIGH | Reasoning effort is set to maximum. Deliberate thoroughly across all phases. |
Deep Deliberation: 4 formal stages (1. Framing, 2. Hypothesis & Strategy, 3. Deep Proof, 4. Stress-test & Synthesis). | ~1,000 – 1,800 words | 2,477 (18.4%) |
3. Delimiter & Tokenizer Contract
All traces are formatted in standard ChatML with native atomic reasoning tokens:
- Introspection Open:
<think> - Introspection Close:
</think> - Turn Delimiters:
<|im_start|>and<|im_end|>
SFT Data Format (qwen_sft_curricula_v4.jsonl):
Ordered identically to the RAW traces schema (prompt, think, answer, tier, domain):
{
"prompt": "Find all real solutions to x^3 - 3x = 1.",
"think": "[Phase 1: Framing]\nLet the polynomial be P(x) = x^3 - 3x - 1...\n[Phase 2: Dual Verification]...",
"answer": "The real roots are x = 2*cos(20 deg), x = 2*cos(140 deg), and x = 2*cos(260 deg).",
"tier": "high",
"domain": "sft_math",
"gold_solution": "x = 2*cos(20 deg), x = 2*cos(140 deg), and x = 2*cos(260 deg).",
"seed_id": "SEED_MATH_FORMAL_00197_3f5d71e2",
"complexity_score": 3.8,
"text": "<|im_start|>system\nReasoning effort is set to high. Provide rigorous proof with verification.<|im_end|>\n<|im_start|>user\nFind all real solutions to x^3 - 3x = 1.<|im_end|>\n<|im_start|>assistant\n<think>\n[Phase 1: Framing]...\n</think>\nThe real roots are...<|im_end|>"
}
OFF-Mode Pure Brake:
In OFF mode, the output contains zero introspection tags:
<|im_start|>system
Reasoning effort is set to off. Answer directly and concisely.<|im_end|>
<|im_start|>user
Find 1 + 2 * 3 - 4 + 5.<|im_end|>
<|im_start|>assistant
8<|im_end|>
4. SimPO Length-Normalized Preference Alignment
Traditional DPO often suffers from length bias: models learn that longer completions receive higher cumulative reward, leading to catastrophic verbosity on trivial queries.
This dataset implements SimPO (Simple Preference Optimization, Meng et al., NeurIPS 2024):
SimPO Data Format (qwen_simpo_preference_v4.jsonl):
Clean separation of prompt, chosen deliberation, chosen answer, and contrastive rejected elements:
{
"prompt": "What is dry ice?",
"chosen_think": "The user wants a definition of 'dry ice.' I need to provide its identity, physical properties, and common applications.",
"chosen_answer": "Dry ice is the solid form of carbon dioxide (CO2), which sublimates directly from solid to gas at -78.5°C.",
"rejected_think": "1. Deconstruct the Request: Multi-phase analysis on basic factual definition...",
"rejected_answer": "Dry ice is the solid crystalline form of carbon dioxide...",
"type": "anti_overthinking_conciseness",
"domain": "sft_dialogue",
"system_prompt": "Reasoning effort is set to low. Think briefly, then answer.",
"id": "SIMPO_ANTI_OVERTHINK_00412"
}
Contrastive Pair Typology:
- Anti-Overthinking Pairs (2,328 pairs):
- Evaluated on low-complexity prompts under
effort=loworeffort=off. chosen($y_w$): Concise, accurate response (~20–60 words).rejected($y_l$): Verbose multi-phase over-deliberation on a simple greeting or arithmetic task (~400 words).- Result: The policy learns that unneeded introspection on trivial tasks incurs a severe reward penalty.
- Evaluated on low-complexity prompts under
- Rigorous Verification Pairs (859 pairs):
- Evaluated on Olympiad math and complex code under
effort=high. chosen($y_w$): Thorough dual-check proof that catches subtle edge cases.rejected($y_l$): Superficial, single-pass deduction that misses boundary conditions.
- Evaluated on Olympiad math and complex code under
5. Domain Distribution
The SFT curriculum spans 7 rigorously audited domains:
- Math Formal (35.5%): Olympiad, AMC12, Putnam, Algebra, Geometry, Calculus with SymPy verification.
- Science Logic & Data (33.5%): Physics, Chemistry, Biology, Causal Inference, Data synthesis.
- Executable Code (20.6%): Python, Rust, SQL, algorithms, all with AST compilation pass.
- Strict Instruction / IFEval (3.9%): Negative constraints, word limits, exact formatting.
- Dialogue & Philosophy (3.2%): Nuanced humanities discussions without artificial refusal tokens.
- Agentic Tools (1.8%): Function calling, schema validation, tool execution reasoning.
- Multilingual Native (1.5%): High-depth reasoning natively composed in Spanish, English, and Chinese.
6. How to Use
Loading SFT and SimPO Splits:
from datasets import load_dataset
# Load SFT Curriculum (13,477 curated traces)
sft_ds = load_dataset("Davd-b01/thinking-cap-tier-curricula-complete", "sft")
print("SFT samples:", len(sft_ds["train"]))
# Load SimPO Preference Pairs (3,187 contrastive pairs)
simpo_ds = load_dataset("Davd-b01/thinking-cap-tier-curricula-complete", "simpo")
print("SimPO pairs:", len(simpo_ds["train"]))
🎯 What is Sought in Each Thinking Tier? (Cognitive Architecture & Objectives)
The Thinking Cap Tiers (TCS v4 Cognitive Governance Standard) enforces explicit behavioral contracts across 5 tiers:
1. Tier OFF (effort=off): The Immediate Brake
- Cognitive Objective: Zero introspection, zero hallucinated meta-cognition, strict conciseness.
- The Problem Solved: Traditional reasoning models frequently over-deliberate on simple arithmetic ($1+1$) or polite greetings ("Hello").
- Enforced Behavior: Emits the exact answer directly (≤ 50 words), terminating dryly with
<|im_end|>.
2. Tier LOW (effort=low): Agile Unilinear Deduction
- Cognitive Objective: Fast, single-pass linear derivation with instant self-check.
- Enforced Behavior: Generates a brief thought trace (~150–250 words) without alternative branching or verbose preambles.
3. Tier MID (effort=mid): Structured Pedagogical Exposition
- Cognitive Objective: Clear step-by-step pedagogical clarity, transparent intermediate states.
- Enforced Behavior: Generates a structured thought trace (~300–500 words) detailing the rationale behind algebraic steps and invariants.
4. Tier HIGH (effort=high): Formal Dual-Branch Proof
- Cognitive Objective: Rigorous formal proof combined with a mandatory secondary verification branch.
- Enforced Behavior: Generates a comprehensive trace (~600–900 words) with explicit checks on boundary conditions and edge cases.
5. Tier XHIGH (effort=xhigh): 4-Phase Deep Deliberation
- Cognitive Objective: Deep philosophical and mathematical deliberation structured across 4 explicit cognitive phases:
- Phase 1 (Framing & Invariant Discovery)
- Phase 2 (Hypothesis & Counter-Example Search)
- Phase 3 (Deep Formal Proof / Synthesis)
- Phase 4 (Stress-Testing & Boundary Synthesis)
🏛️ Trace Generators, Attribution & Upstream Acknowledgments
We gratefully acknowledge the foundational teacher models and upstream datasets that generated these traces:
r0b0tlab/qwen3.8-max-glm5.2-kimi-k3-distillation(r0b0tlab): Anchor seed problems and teacher reasoning generated by Qwen 3.8 Max, GLM 5.2, and Moonshot Kimi k3.- OpenThoughts Dataset Collection (
open-thoughts/OpenThoughts-114k): Formal mathematical problem distributions and deliberative structures. - OpenMLE-SFT & Bespoke-Stratos Collections: Real-world execution-grounded software engineering traces.
- LIMA Research (Zhou et al., NeurIPS 2023): Surface alignment hypothesis.
🔗 Related Thinking Cap Datasets
- ⚡ Thinking Cap LIMA Hyper-Dense: Top 5.5k SFT + 2k SimPO pairs for budget-friendly alignment.
- 📦 Thinking Cap Tier Raw Traces: 38,158 raw candidate generation outputs across all tiers.
License & Citation
This dataset is released under the Apache 2.0 License.
@dataset{thinking_cap_tier_curricula_complete_2026,
author = {Davd-b01},
title = {Thinking Cap Tier Curricula: Complete Reasoning Alignment Suite (TCS v4)},
year = {2026},
publisher = {Hugging Face},
url = {https://huggingface.co/datasets/Davd-b01/thinking-cap-tier-curricula-complete}
}
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