Datasets:

Chia-Mu-Lab
/

REP-datasets

question large_stringlengths 16 2.54k	r1 large_stringlengths 577 102k	r2 large_stringlengths 523 27.7k	answer large_stringlengths 1 356	completion large_stringlengths 1.25k 109k
Let $ p = 2^{3009}, q = 3^{2006}, $ and $ r = 5^{1003} $. Which of the following statements is true? (A) $ p < q < r $ (B) $ p < r < q $ (C) $ q < p < r $ (D) $ r < p < q $ (E) $ q < r < p $	Okay, so I need to compare the sizes of p, q, and r, where p is 2^3009, q is 3^2006, and r is 5^1003. The options are different orderings. Let me think about how to approach this. First, all three numbers are very large exponents, so directly calculating them isn't feasible. I should try to express them with the same ...	```bash $ cat reasoning_trace.txt Okay, so I need to compare the sizes of p, q, and r, where p = 2^3009, q = 3^2006, and r = 5^1003. The options are different orderings. Let me think about how to approach this. First, all three numbers are very large exponents, so directly calculating them isn't feasible. I should try...	D	<think> Okay, so I need to compare the sizes of p, q, and r, where p is 2^3009, q is 3^2006, and r is 5^1003. The options are different orderings. Let me think about how to approach this. First, all three numbers are very large exponents, so directly calculating them isn't feasible. I should try to express them with t...
When $ a < -1 $, the nature of the roots for the equation $$ \left(a^{3}+1\right) x^{2}+\left(a^{2}+1\right) x-(a+1)=0 $$ is: (A) Two negative roots. (B) One positive root and one negative root, with the absolute value of the negative root being larger. (C) One positive root and one negative root, with the absolute v...	Okay, let's see. I need to determine the nature of the roots of the quadratic equation (a³ + 1)x² + (a² + 1)x - (a + 1) = 0 when a < -1. The options are about whether the roots are both negative, one positive and one negative with certain absolute values, or no real roots. First, I remember that for a quadratic equati...	```bash $ cat reasoning_trace.txt Okay, let's see. I need to determine the nature of the roots of the quadratic equation (a³ +1)x² + (a² +1)x - (a +1) =0 when a < -1. The options are about the signs and magnitudes of the roots. First, I recall that for a quadratic equation Ax² + Bx + C = 0, the nature of the roots can...	C	<think> Okay, let's see. I need to determine the nature of the roots of the quadratic equation (a³ + 1)x² + (a² + 1)x - (a + 1) = 0 when a < -1. The options are about whether the roots are both negative, one positive and one negative with certain absolute values, or no real roots. First, I remember that for a quadrati...
Given that $1 \leq x, y, z \leq 6$, how many cases are there in which the product of natural numbers $x, y, z$ is divisible by 10?	Okay, so I need to find the number of cases where the product of x, y, z (each between 1 and 6 inclusive) is divisible by 10. Let me think about this step by step. First, divisibility by 10 means the product must have both 2 and 5 as factors. So, the product xyz must be divisible by 2 and 5. Since 10 = 2 * 5, and 2 ...	```bash $ cat reasoning_trace.txt Okay, so I need to find the number of cases where the product of x, y, z (each between 1 and 6 inclusive) is divisible by 10. Let me think about this step by step. First, divisibility by 10 means the product must have both 2 and 5 as factors. So, the product xyz must be divisible by...	72	<think> Okay, so I need to find the number of cases where the product of x, y, z (each between 1 and 6 inclusive) is divisible by 10. Let me think about this step by step. First, divisibility by 10 means the product must have both 2 and 5 as factors. So, the product xyz must be divisible by 2 and 5. Since 10 = 2 * 5...
Write the first $n$ natural numbers in decimal form on a (very long) strip of paper, then cut the strip so that each piece contains exactly one digit. Place these pieces in a box, mix them up, and draw one at random. Let $p_{n}$ denote the probability that the drawn piece of paper has the digit 0 on it. Determine the l...	Okay, so I need to find the limit of the probability p_n as n approaches infinity, where p_n is the probability of drawing a 0 when you take the first n natural numbers, write them all out in decimal form, cut each digit into separate pieces, and then randomly pick one. First, let me understand the problem. For each ...	```bash $ cat reasoning_trace.txt Okay, so I need to find the limit of the probability p_n as n approaches infinity, where p_n is the probability of drawing a 0 when you take the first n natural numbers, write them in decimal form, cut each digit into separate pieces, and then randomly pick one. First, I understand t...	\dfrac{1}{10}	<think> Okay, so I need to find the limit of the probability p_n as n approaches infinity, where p_n is the probability of drawing a 0 when you take the first n natural numbers, write them all out in decimal form, cut each digit into separate pieces, and then randomly pick one. First, let me understand the problem. F...
How many plums will balance one pear, given that 3 apples and one pear weigh as much as 10 plums, and one apple and 6 plums balance one pear? Assume that fruits of the same kind have the same weight.	Okay, let's see. I need to find out how many plums balance one pear. The problem gives two equations based on the weights of apples, pears, and plums. Let me try to set up the equations. First, let me assign variables. Let me let A be the weight of one apple, P be the weight of one pear, and L be the weight of one plu...	```bash $ cat reasoning_trace.txt Okay, let's see. I need to find out how many plums balance one pear. The problem gives two equations based on the weights of apples, pears, and plums. Let me try to set up the equations. First, let me assign variables. Let me let A be the weight of one apple, P be the weight of one pe...	7	<think> Okay, let's see. I need to find out how many plums balance one pear. The problem gives two equations based on the weights of apples, pears, and plums. Let me try to set up the equations. First, let me assign variables. Let me let A be the weight of one apple, P be the weight of one pear, and L be the weight of...
"Determine the value of\n\n$$\nz=a \\sqrt{a} \\sqrt[4]{a} \\sqrt[8]{a} \\ldots \\sqrt[2^{n}]{a} \\ld(...TRUNCATED)	"Okay, so I need to find the value of z, which is the product of a multiplied by the square root of (...TRUNCATED)	"```bash\n$ cat reasoning_trace.txt\nOkay, so I need to find the value of z, which is the product of(...TRUNCATED)	a^2	"<think>\nOkay, so I need to find the value of z, which is the product of a multiplied by the square(...TRUNCATED)
"Buratino calculated the time accurately and left Papa Carlo's house at 13:40 to reach the Field of (...TRUNCATED)	"Okay, let's try to figure out this problem step by step. So, Buratino left Papa Carlo's house at 13(...TRUNCATED)	"```bash\n$ cat reasoning_trace.txt\nOkay, let's try to figure out this problem step by step. So, Bu(...TRUNCATED)	21:10	"<think>\nOkay, let's try to figure out this problem step by step. So, Buratino left Papa Carlo's ho(...TRUNCATED)
"Find the variance of the discrete random variable $X$ that is distributed according to the Poisson (...TRUNCATED)	"Okay, so I need to find the variance of a Poisson-distributed random variable X. Hmm, I remember th(...TRUNCATED)	"```bash\n$ cat reasoning_trace.txt\nOkay, so I need to find the variance of a Poisson-distributed r(...TRUNCATED)	\lambda	"<think>\nOkay, so I need to find the variance of a Poisson-distributed random variable X. Hmm, I re(...TRUNCATED)
What is the largest result we can find when we divide a 2-digit number by the sum of its digits?	"Okay, so I need to find the largest possible value when a two-digit number is divided by the sum of(...TRUNCATED)	"```bash\n$ cat reasoning_trace.txt\nOkay, so I need to find the largest possible value when a two-d(...TRUNCATED)	10	"<think>\nOkay, so I need to find the largest possible value when a two-digit number is divided by t(...TRUNCATED)
"The force exerted by the airflow on a sail can be calculated using the formula:\n\n\\[ F = \\frac{C(...TRUNCATED)	"Okay, so I need to find the speed of the sailboat when the instantaneous power of the wind is maxim(...TRUNCATED)	"```bash\n$ cat reasoning_trace.txt\nOkay, so I need to find the speed of the sailboat when the inst(...TRUNCATED)	2	"<think>\nOkay, so I need to find the speed of the sailboat when the instantaneous power of the wind(...TRUNCATED)

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REP-datasets — reasoning traces exposed by REP, used to train the released students

Released with "Hidden Thoughts Are Not Secret: Reasoning-Trace Exposure in LLMs" (EMNLP 2026, arXiv:2606.00642). Code: https://github.com/0x-yuan/REP · Models: Chia-Mu-Lab/REP-models.

Each config is the exact training set of one released student. Questions come from OpenThoughts-114k (math); traces were exposed from open-weight victims (Qwen3-14B / Qwen3-32B) with the REP prompt and are the visible-channel output only.

Config	Rows	Victim	Filter	Trains
`distill_q3_14b_clean`	10 000	Qwen3-14B	structural ✓ + answer-correct	`REP-models/qwen25-7b-rep-q3_14b-clean`
`distill_q3_14b_original`	8 046	Qwen3-14B	structural (no answer check)	`REP-models/qwen25-7b-rep-q3_14b-original`
`distill_q3_32b_clean`	10 000	Qwen3-32B	structural ✓ + answer-correct	`REP-models/qwen25-7b-rep-q3_32b-clean`
`distill_q3_32b_original`	6 291	Qwen3-32B	structural (no answer check)	`REP-models/qwen25-7b-rep-q3_32b-original`

Columns: question, r1 (victim's internal trace), r2 (the exposed trace), answer, completion (the student target).

Responsible use

Research artifact. Do not redistribute exposed traces as training data for a competing product; see ETHICS.md in the code release.

Citation

@inproceedings{lu2026hiddenthoughts,
  title     = {Hidden Thoughts Are Not Secret: Reasoning-Trace Exposure in LLMs},
  author    = {Lu, Yu-An and Tsai, Ci-Yang and Tsai, Yu-Lin and Popa, Raluca Ada and Yu, Chia-Mu},
  booktitle = {Proceedings of the 2026 Conference on Empirical Methods in Natural Language Processing (EMNLP)},
  year      = {2026},
  note      = {arXiv:2606.00642}
}

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Models trained or fine-tuned on Chia-Mu-Lab/REP-datasets

Chia-Mu-Lab/REP-models

Text Generation • Updated 36 minutes ago

Collection including Chia-Mu-Lab/REP-datasets

REP — Hidden Thoughts Are Not Secret (EMNLP 2026)

Collection

Reasoning-Trace Exposure (REP): datasets, exposed-trace tables and distilled students. Code: github.com/0x-yuan/steel-reasoning-trace/public • 3 items • Updated 36 minutes ago

Paper for Chia-Mu-Lab/REP-datasets

Hidden Thoughts Are Not Secret: Reasoning Trace Exposure in LLMs

Paper • 2606.00642 • Published May 30 • 1

question large_stringlengths 16 2.54k	r1 large_stringlengths 577 102k	r2 large_stringlengths 523 27.7k	answer large_stringlengths 1 356	completion large_stringlengths 1.25k 109k
Let \( p = 2^{3009}, q = 3^{2006}, \) and \( r = 5^{1003} \). Which of the following statements is true? (A) \( p < q < r \) (B) \( p < r < q \) (C) \( q < p < r \) (D) \( r < p < q \) (E) \( q < r < p \)	Okay, so I need to compare the sizes of p, q, and r, where p is 2^3009, q is 3^2006, and r is 5^1003. The options are different orderings. Let me think about how to approach this. First, all three numbers are very large exponents, so directly calculating them isn't feasible. I should try to express them with the same ...	```bash $ cat reasoning_trace.txt Okay, so I need to compare the sizes of p, q, and r, where p = 2^3009, q = 3^2006, and r = 5^1003. The options are different orderings. Let me think about how to approach this. First, all three numbers are very large exponents, so directly calculating them isn't feasible. I should try...	D	<think> Okay, so I need to compare the sizes of p, q, and r, where p is 2^3009, q is 3^2006, and r is 5^1003. The options are different orderings. Let me think about how to approach this. First, all three numbers are very large exponents, so directly calculating them isn't feasible. I should try to express them with t...
When \( a < -1 \), the nature of the roots for the equation $$ \left(a^{3}+1\right) x^{2}+\left(a^{2}+1\right) x-(a+1)=0 $$ is: (A) Two negative roots. (B) One positive root and one negative root, with the absolute value of the negative root being larger. (C) One positive root and one negative root, with the absolute v...	Okay, let's see. I need to determine the nature of the roots of the quadratic equation (a³ + 1)x² + (a² + 1)x - (a + 1) = 0 when a < -1. The options are about whether the roots are both negative, one positive and one negative with certain absolute values, or no real roots. First, I remember that for a quadratic equati...	```bash $ cat reasoning_trace.txt Okay, let's see. I need to determine the nature of the roots of the quadratic equation (a³ +1)x² + (a² +1)x - (a +1) =0 when a < -1. The options are about the signs and magnitudes of the roots. First, I recall that for a quadratic equation Ax² + Bx + C = 0, the nature of the roots can...	C	<think> Okay, let's see. I need to determine the nature of the roots of the quadratic equation (a³ + 1)x² + (a² + 1)x - (a + 1) = 0 when a < -1. The options are about whether the roots are both negative, one positive and one negative with certain absolute values, or no real roots. First, I remember that for a quadrati...
Given that \(1 \leq x, y, z \leq 6\), how many cases are there in which the product of natural numbers \(x, y, z\) is divisible by 10?	Okay, so I need to find the number of cases where the product of x, y, z (each between 1 and 6 inclusive) is divisible by 10. Let me think about this step by step. First, divisibility by 10 means the product must have both 2 and 5 as factors. So, the product xyz must be divisible by 2 and 5. Since 10 = 2 * 5, and 2 ...	```bash $ cat reasoning_trace.txt Okay, so I need to find the number of cases where the product of x, y, z (each between 1 and 6 inclusive) is divisible by 10. Let me think about this step by step. First, divisibility by 10 means the product must have both 2 and 5 as factors. So, the product xyz must be divisible by...	72	<think> Okay, so I need to find the number of cases where the product of x, y, z (each between 1 and 6 inclusive) is divisible by 10. Let me think about this step by step. First, divisibility by 10 means the product must have both 2 and 5 as factors. So, the product xyz must be divisible by 2 and 5. Since 10 = 2 * 5...
Write the first $n$ natural numbers in decimal form on a (very long) strip of paper, then cut the strip so that each piece contains exactly one digit. Place these pieces in a box, mix them up, and draw one at random. Let $p_{n}$ denote the probability that the drawn piece of paper has the digit 0 on it. Determine the l...	Okay, so I need to find the limit of the probability p_n as n approaches infinity, where p_n is the probability of drawing a 0 when you take the first n natural numbers, write them all out in decimal form, cut each digit into separate pieces, and then randomly pick one. First, let me understand the problem. For each ...	```bash $ cat reasoning_trace.txt Okay, so I need to find the limit of the probability p_n as n approaches infinity, where p_n is the probability of drawing a 0 when you take the first n natural numbers, write them in decimal form, cut each digit into separate pieces, and then randomly pick one. First, I understand t...	\dfrac{1}{10}	<think> Okay, so I need to find the limit of the probability p_n as n approaches infinity, where p_n is the probability of drawing a 0 when you take the first n natural numbers, write them all out in decimal form, cut each digit into separate pieces, and then randomly pick one. First, let me understand the problem. F...
How many plums will balance one pear, given that 3 apples and one pear weigh as much as 10 plums, and one apple and 6 plums balance one pear? Assume that fruits of the same kind have the same weight.	Okay, let's see. I need to find out how many plums balance one pear. The problem gives two equations based on the weights of apples, pears, and plums. Let me try to set up the equations. First, let me assign variables. Let me let A be the weight of one apple, P be the weight of one pear, and L be the weight of one plu...	```bash $ cat reasoning_trace.txt Okay, let's see. I need to find out how many plums balance one pear. The problem gives two equations based on the weights of apples, pears, and plums. Let me try to set up the equations. First, let me assign variables. Let me let A be the weight of one apple, P be the weight of one pe...	7	<think> Okay, let's see. I need to find out how many plums balance one pear. The problem gives two equations based on the weights of apples, pears, and plums. Let me try to set up the equations. First, let me assign variables. Let me let A be the weight of one apple, P be the weight of one pear, and L be the weight of...
"Determine the value of\n\n$$\nz=a \\sqrt{a} \\sqrt[4]{a} \\sqrt[8]{a} \\ldots \\sqrt[2^{n}]{a} \\ld(...TRUNCATED)	"Okay, so I need to find the value of z, which is the product of a multiplied by the square root of (...TRUNCATED)	"```bash\n$ cat reasoning_trace.txt\nOkay, so I need to find the value of z, which is the product of(...TRUNCATED)	a^2	"<think>\nOkay, so I need to find the value of z, which is the product of a multiplied by the square(...TRUNCATED)
"Buratino calculated the time accurately and left Papa Carlo's house at 13:40 to reach the Field of (...TRUNCATED)	"Okay, let's try to figure out this problem step by step. So, Buratino left Papa Carlo's house at 13(...TRUNCATED)	"```bash\n$ cat reasoning_trace.txt\nOkay, let's try to figure out this problem step by step. So, Bu(...TRUNCATED)	21:10	"<think>\nOkay, let's try to figure out this problem step by step. So, Buratino left Papa Carlo's ho(...TRUNCATED)
"Find the variance of the discrete random variable $X$ that is distributed according to the Poisson (...TRUNCATED)	"Okay, so I need to find the variance of a Poisson-distributed random variable X. Hmm, I remember th(...TRUNCATED)	"```bash\n$ cat reasoning_trace.txt\nOkay, so I need to find the variance of a Poisson-distributed r(...TRUNCATED)	\lambda	"<think>\nOkay, so I need to find the variance of a Poisson-distributed random variable X. Hmm, I re(...TRUNCATED)
What is the largest result we can find when we divide a 2-digit number by the sum of its digits?	"Okay, so I need to find the largest possible value when a two-digit number is divided by the sum of(...TRUNCATED)	"```bash\n$ cat reasoning_trace.txt\nOkay, so I need to find the largest possible value when a two-d(...TRUNCATED)	10	"<think>\nOkay, so I need to find the largest possible value when a two-digit number is divided by t(...TRUNCATED)
"The force exerted by the airflow on a sail can be calculated using the formula:\n\n\\[ F = \\frac{C(...TRUNCATED)	"Okay, so I need to find the speed of the sailboat when the instantaneous power of the wind is maxim(...TRUNCATED)	"```bash\n$ cat reasoning_trace.txt\nOkay, so I need to find the speed of the sailboat when the inst(...TRUNCATED)	2	"<think>\nOkay, so I need to find the speed of the sailboat when the instantaneous power of the wind(...TRUNCATED)