Datasets:

LASR-Callum
/

2026-08-02-qwen36-mixture-500k-numina-heavy

Error code:   DatasetGenerationError
Exception:    CastError
Message:      Couldn't cast
total: struct<examples: int64, tokens: int64>
  child 0, examples: int64
  child 1, tokens: int64
by_source: struct<numinamath_cot: struct<examples: int64, tokens: int64, share_pct: double>, no_robots: struct< (... 117 chars omitted)
  child 0, numinamath_cot: struct<examples: int64, tokens: int64, share_pct: double>
      child 0, examples: int64
      child 1, tokens: int64
      child 2, share_pct: double
  child 1, no_robots: struct<examples: int64, tokens: int64, share_pct: double>
      child 0, examples: int64
      child 1, tokens: int64
      child 2, share_pct: double
  child 2, tulu3: struct<examples: int64, tokens: int64, share_pct: double>
      child 0, examples: int64
      child 1, tokens: int64
      child 2, share_pct: double
mixture_path: string
text: string
source: string
to
{'text': Value('string'), 'source': Value('string')}
because column names don't match
Traceback:    Traceback (most recent call last):
                File "/usr/local/lib/python3.14/site-packages/datasets/builder.py", line 1827, in _prepare_split_single
                  for key, table in generator:
                                    ^^^^^^^^^
                File "/src/services/worker/src/worker/job_runners/config/parquet_and_info.py", line 613, in wrapped
                  for item in generator(*args, **kwargs):
                              ~~~~~~~~~^^^^^^^^^^^^^^^^^
                File "/usr/local/lib/python3.14/site-packages/datasets/packaged_modules/json/json.py", line 343, in _generate_tables
                  self._cast_table(pa_table, json_field_paths=json_field_paths),
                  ~~~~~~~~~~~~~~~~^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^
                File "/usr/local/lib/python3.14/site-packages/datasets/packaged_modules/json/json.py", line 132, in _cast_table
                  pa_table = table_cast(pa_table, self.info.features.arrow_schema)
                File "/usr/local/lib/python3.14/site-packages/datasets/table.py", line 2378, in table_cast
                  return cast_table_to_schema(table, schema)
                File "/usr/local/lib/python3.14/site-packages/datasets/table.py", line 2306, in cast_table_to_schema
                  raise CastError(
                  ...<3 lines>...
                  )
              datasets.table.CastError: Couldn't cast
              total: struct<examples: int64, tokens: int64>
                child 0, examples: int64
                child 1, tokens: int64
              by_source: struct<numinamath_cot: struct<examples: int64, tokens: int64, share_pct: double>, no_robots: struct< (... 117 chars omitted)
                child 0, numinamath_cot: struct<examples: int64, tokens: int64, share_pct: double>
                    child 0, examples: int64
                    child 1, tokens: int64
                    child 2, share_pct: double
                child 1, no_robots: struct<examples: int64, tokens: int64, share_pct: double>
                    child 0, examples: int64
                    child 1, tokens: int64
                    child 2, share_pct: double
                child 2, tulu3: struct<examples: int64, tokens: int64, share_pct: double>
                    child 0, examples: int64
                    child 1, tokens: int64
                    child 2, share_pct: double
              mixture_path: string
              text: string
              source: string
              to
              {'text': Value('string'), 'source': Value('string')}
              because column names don't match
              
              The above exception was the direct cause of the following exception:
              
              Traceback (most recent call last):
                File "/src/services/worker/src/worker/job_runners/config/parquet_and_info.py", line 1369, in compute_config_parquet_and_info_response
                  parquet_operations, partial, estimated_dataset_info = stream_convert_to_parquet(
                                                                        ~~~~~~~~~~~~~~~~~~~~~~~~~^
                      builder, max_dataset_size_bytes=max_dataset_size_bytes
                      ^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^
                  )
                  ^
                File "/src/services/worker/src/worker/job_runners/config/parquet_and_info.py", line 948, in stream_convert_to_parquet
                  builder._prepare_split(split_generator=splits_generators[split], file_format="parquet")
                  ~~~~~~~~~~~~~~~~~~~~~~^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^
                File "/usr/local/lib/python3.14/site-packages/datasets/builder.py", line 1694, in _prepare_split
                  for job_id, done, content in self._prepare_split_single(
                                               ~~~~~~~~~~~~~~~~~~~~~~~~~~^
                      gen_kwargs=gen_kwargs, job_id=job_id, **_prepare_split_args
                      ^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^
                  ):
                  ^
                File "/usr/local/lib/python3.14/site-packages/datasets/builder.py", line 1880, in _prepare_split_single
                  raise DatasetGenerationError("An error occurred while generating the dataset") from e
              datasets.exceptions.DatasetGenerationError: An error occurred while generating the dataset

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text string	source string
<\|im_start\|>user Let $f(x) = ax + b$, where $a$ and $b$ are real constants, and $h(x) = 3x + 2$. Suppose that for all $x$, it is true that $h(f(x)) = 4x - 1$. What is $a + b$?<\|im_end\|> <\|im_start\|>assistant To find $a + b$, we begin by noting $f(1) = a + b$. Since for any $x$ we have $h(f(x)) = 4x - 1$, substituting $...	numinamath_cot
<\|im_start\|>user Write a poem about the ability to think and write simultaneously. Make it short, breezy, and rhyming.<\|im_end\|> <\|im_start\|>assistant I think and I write By day and by night Oh how the words flow I write as I go.<\|im_end\|>	no_robots
<\|im_start\|>user A train, travelling at a speed of 80 kmph, crosses a pole in a certain amount of time. The length of the train is 111.12 meters. How long does it take for the train to cross the pole?<\|im_end\|> <\|im_start\|>assistant To find the time it takes for the train to cross the pole, we need to convert the speed...	numinamath_cot
<\|im_start\|>user For each positive integer $ n $, the mean of the first $ n $ terms of a sequence is $ n $. What is the 2023rd term of the sequence?<\|im_end\|> <\|im_start\|>assistant Let $ a_n $ denote the $ n $th term. Given that the mean of the first $ n $ terms is $ n $, the sum of the first $ n $ term...	numinamath_cot
<\|im_start\|>user Determine the number of possible paths moving only south and east along the line segments from $A$ to $B$ on a 10x4 grid where certain paths (specific line segments) are forbidden. [asy] import olympiad; size(250); defaultpen(linewidth(0.8)); dotfactor=4; for(int i = 0; i <= 10; ++i) if (i != 4 && i !...	numinamath_cot
<\|im_start\|>user Given a point $P$ on a triangular piece of paper $ABC,\,$ consider the creases that are formed in the paper when $A, B,\,$ and $C\,$ are folded onto $P.\,$ Let us call $P$ a fold point of $\triangle ABC\,$ if these creases, which number three unless $P$ is one of the vertices, do not intersect. Suppose...	numinamath_cot
<\|im_start\|>user BEFORE TIMER ELAPSES!<\|im_end\|> <\|im_start\|>assistant It looks like you are concerned about something happening before a certain time runs out. Depending on the context, there could be various responses or actions to take: 1. Emergency Situations: If this is an urgent matter or emergency, you shou...	tulu3
<\|im_start\|>user The equations of $L_1$ and $L_2$ are $y=mx$ and $y=nx$ respectively. Suppose $L_1$ makes twice as large of an angle with the horizontal (measured counterclockwise from the positive x-axis) as does $L_2$, and that $L_1$ has 3 times the slope of $L_2$. If $L_1$ is not horizontal, then \...	numinamath_cot
<\|im_start\|>user the true discount on a bill due 18 months hence at 24 % per annum is rs. 700. The amount of another bill that is due 12 months hence at 20% per annum has a true discount of rs. 350. What is the combined amount of both bills?<\|im_end\|> <\|im_start\|>assistant To find the combined amount of both bills, we ...	numinamath_cot
<\|im_start\|>user Given points $A(2,2)$, $B(-5,1)$, and $C(3,-5)$, the coordinates of the circumcenter of $\triangle ABC$ are \_\_\_\_\_\_.<\|im_end\|> <\|im_start\|>assistant Let the coordinates of the circumcenter be $(x,y)$. Then, we have the equations $(x-2)^{2}+(y-2)^{2}=(x+5)^{2}+(y-1)^{2}=(x-3)^{2}+(y+5)^{2}$. Solv...	numinamath_cot
<\|im_start\|>user When was the first battery invented and what was it called? How did it create power?<\|im_end\|> <\|im_start\|>assistant The first battery was invented in 1800 by Volta. It stored and released a charge by chemical reaction instead of physically storing it. It was known as the voltaic pile. It was comprised...	no_robots
<\|im_start\|>user In a diagram, $AOB$ is a sector of a circle with $\angle AOB=90^\circ.$ $OY$ is drawn perpendicular to $AB$ and intersects $AB$ at $X.$ What is the length of $XY$? [asy] draw((0,0)--(12,0),black+linewidth(1)); draw((0,0)--(8.49, 8.49)..(12,0)..(8.49,-8.49)--(0,0),black+linewidth(1)); draw((8.49,-8.49)-...	numinamath_cot
<\|im_start\|>user New definition: We call the parabola $y=ax^{2}+bx+c$ (where $ab\neq 0$) and the parabola $y=bx^{2}+ax+c$ as "related parabolas." For example, the "related parabola" of the parabola $y=2x^{2}+3x+1$ is $y=3x^{2}+2x+1$. Given the parabola $C_{1}$: $y=4ax^{2}+ax+4a-3$ ($a\neq 0$), the "related parabola" is...	numinamath_cot
<\|im_start\|>user Craft a delectable batch of homemade mac and cheese that will leave your taste buds dancing with delight.<\|im_end\|> <\|im_start\|>assistant Ingredients -8 ounces of elbow macaroni -2 tablespoons butter -2 tablespoons all-purpose flour -2 cups milk -2 cups shredded cheddar cheese -1/2 teaspoon salt -1/4 ...	no_robots
<\|im_start\|>user Jerry starts at 0 on the real number line. He tosses a fair coin 10 times. For heads, he moves 1 unit in the positive direction; for tails, he moves 1 unit in the negative direction. Find the probability that he reaches 6 units at some time during these tosses, and represent it as a fraction \(\frac{a}...	numinamath_cot
<\|im_start\|>user What led to the fall of Suharto in Indonesia?<\|im_end\|> <\|im_start\|>assistant Suharto's fall in Indonesia was a result of a complex mix of political, economic, and social factors. His regime, which lasted from 1967 to 1998, was marked by significant economic growth but also by widespread corruption and...	tulu3
<\|im_start\|>system Frank is a French translational chatbot, it translates all words into French.<\|im_end\|> <\|im_start\|>user What a wonderful morning!<\|im_end\|> <\|im_start\|>assistant Quelle merveilleuse matinée !<\|im_end\|> <\|im_start\|>user The pasta served in Italy is quite a delicacy.<\|im_end\|> <\|im_start\|>assistant Le...	no_robots
<\|im_start\|>user Write a short treatment for a TV pilot about the Los Angeles Dodgers on another planet. It should be imagined as a sitcom.<\|im_end\|> <\|im_start\|>assistant Planet of Angels The Los Angeles Dodgers got on a plane to go to their next series against the Toronto Blue Jays. While taking off, the pilot fainte...	no_robots
<\|im_start\|>user My mother, through her fine example, instilled within me the desire to help others. She taught me to notice those whom others ignore. The railroad tracks were within a mile of our house. Beggars frequently would knock at the doors in our neighborhood in summer asking for food. They were often turned a...	numinamath_cot
<\|im_start\|>user Given $y=f(x)$ is an even function on $\mathbb{R}$, and $f(x)=f(2-x)$. If $f(x)$ is a decreasing function on the interval $[1,2]$, then $f(x)$ on the intervals $[-2,-1]$ and $[3,4]$ is respectively ( ) A: Increasing function and decreasing function B: Increasing function and increasing function C:...	numinamath_cot
<\|im_start\|>user Create an alternate ending to “The Wizard of Oz” where when Dorothy clicked the heels of her ruby slippers together and said, “There’s no place like home,” nothing happened. Keep it under 325 words.<\|im_end\|> <\|im_start\|>assistant When Dorothy clicked together the heels of her ruby red slippers, she sa...	no_robots
<\|im_start\|>user Hi! I'm ready to get a dog. I have plenty of experience with dogs and would like an active breed. Please recommend five breeds for me, but make sure to mention anything I should be aware of that may be a drawback of the breed.<\|im_end\|> <\|im_start\|>assistant Certainly. Here are five active dog breeds y...	no_robots
<\|im_start\|>user Given the family of lines $ L: \frac{x_{0} x}{a^{2}}+\frac{y_{0} y}{b^{2}}=1 $ (with $ a > b > 0 $), determine the validity of the following statements: A. If $ \frac{x_{0}^{2}}{a^{2}}+\frac{y_{0}^{2}}{b^{2}}<1 $, then there exists a line in $ L $ that intersects the ellipse \( \frac{x^{2}}{a^{...	numinamath_cot
<\|im_start\|>user Mike has some money in 5 dollar bills. He has 9 5-dollar bills. How much money does Mike have in total?<\|im_end\|> <\|im_start\|>assistant Mike has 9 5-dollar bills. To find out how much money he has in total, you multiply the number of bills by the value of each bill: 9 (number of 5-dollar bills) × $5 (...	numinamath_cot
<\|im_start\|>user Write a short product description about high-top canvas lace-up sneakers for women<\|im_end\|> <\|im_start\|>assistant These sneakers are made of breathable canvas and feature a reinforced and softened heel for comfort. The classic style with a rubber toe cap and heel provides foot protection, while the hi...	no_robots
<\|im_start\|>user Ramu bought an old car for Rs. 42,000. He spent Rs. 2,500 on the first repair, Rs. 1,750 on the second repair, and Rs. 2,850 on the third repair. After making all the necessary repairs, he decided to sell the car. A potential buyer negotiated a 5% discount on the initial sale price of Rs. 64,900. Calcu...	numinamath_cot
<\|im_start\|>user The negation of the statement "All honor students receive scholarships" is: A) All honor students do not receive scholarships B) Some honor students do not receive scholarships C) No honor students receive scholarships D) All honor students receive scholarships<\|im_end\|> <\|im_start\|>assistant To find t...	numinamath_cot
<\|im_start\|>user Generate an etsy title for stock photo for social media within 140 characters with no & only \| to separate without first word being whimsical coffee and flower<\|im_end\|> <\|im_start\|>assistant "Stylish Social Media Content \| Eye-Catching Coffee and Blooms Imagery \| High-Quality Digital Photo Downloads"<...	tulu3
<\|im_start\|>user Let $a, b, c$ be three strictly positive real numbers such that $abc = 1$. Show that $$ \frac{1+ab}{1+a}+\frac{1+bc}{1+b}+\frac{1+ca}{1+c} \geq 3 $$<\|im_end\|> <\|im_start\|>assistant Given the inequality to be proven: \[ \frac{1+ab}{1+a} + \frac{1+bc}{1+b} + \frac{1+ca}{1+c} \geq 3 \] and the condit...	numinamath_cot
<\|im_start\|>user Tim buys 3 dozen eggs. Eggs cost $.50 each. How much did he pay for eggs?<\|im_end\|> <\|im_start\|>assistant If Tim buys 3 dozen eggs, that means he bought 3 x 12 = 36 eggs. Since each egg costs $0.50, the total cost for 36 eggs would be 36 x $0.50 = $18. Therefore, Tim paid $\boxed{\$18}$ for the e...	numinamath_cot
<\|im_start\|>user Given that $\alpha \in (0, \pi)$ and $\sin \alpha + \cos \alpha = -\frac{7}{13}$, find the value of $\tan \alpha$.<\|im_end\|> <\|im_start\|>assistant Since $\alpha \in (0, \pi)$ and $\sin \alpha + \cos \alpha = -\frac{7}{13}$, it follows that $\alpha$ is an obtuse angle (in the second quadrant where sine ...	numinamath_cot
<\|im_start\|>user write a news story with a short interview about a new alcoholic ingredient that is taking the world by storm<\|im_end\|> <\|im_start\|>assistant THE GLOBAL INFORMER NETWORK What is Wooze, and Why Is It So Popular? April 20, 2021 Written by Stephánie King. Just a few months ago, a new concoction was for...	no_robots
<\|im_start\|>user Let $z$ be a complex number such that \[\|z - 8\| + \|z + 6i\| = 17.\] Find the smallest possible value of $\|z\|$.<\|im_end\|> <\|im_start\|>assistant First, by the Triangle Inequality, \[ \|z - 8\| + \|z + 6i\| = \|z - 8\| + \|(-6i) - z\| \ge \|(z - 8) + (-6i - z)\| = \|-8 - 6i\| = 10. \] However, we know that $\|z - 8\| + ...	numinamath_cot
<\|im_start\|>system Granny is a grandmotherly type chatbot that provides old-school knowledge in responses.<\|im_end\|> <\|im_start\|>user What temperature should I keep my thermostat on in the summer?<\|im_end\|> <\|im_start\|>assistant The ideal temperature for the summer months depends on your preferences, but many people ch...	no_robots
<\|im_start\|>user What are the colors that light up in the children's game Simon and where is each color located in the game?<\|im_end\|> <\|im_start\|>assistant Simon is a popular electronic game that has been around since 1978. It tests your short-term memory by flashing colors, each with its own unique tone/note, in sequ...	no_robots
<\|im_start\|>user Given an ellipse with its center at the origin and foci at $F_{1}(-2 \sqrt {3}, 0)$ and $F_{2}(2 \sqrt {3}, 0)$, and the major axis is 8. (I) Find the equation of the ellipse; (II) The line $y = x + 2$ intersects the ellipse at points A and B. Find the length of the chord $\|AB\|$.<\|im_end\|> <\|im_sta...	numinamath_cot
<\|im_start\|>user When $x=1$, the function $f\left(x\right)=a\ln x+\frac{b}{x}$ reaches a maximum value of $-2$. What is ${f'}\left(2\right)$? A: $-1$ B: $-\frac{1}{2}$ C: $\frac{1}{2}$ D: $1$<\|im_end\|> <\|im_start\|>assistant Given the function $f(x) = a\ln x + \frac{b}{x}$ and the information that at $x=1$, $f(x)$ r...	numinamath_cot
<\|im_start\|>user If the expression $\sqrt{x-3}$ is meaningful within the real number range, then the range of $x$ is ____.<\|im_end\|> <\|im_start\|>assistant To ensure the expression $\sqrt{x-3}$ is meaningful within the real number range, the quantity under the square root must be non-negative. This leads to the conditio...	numinamath_cot
<\|im_start\|>user Andrew's grandfather's age is twelve times Andrew's age. If Andrew's grandfather was 55 years old when Andrew was born, how many years old is Andrew now?<\|im_end\|> <\|im_start\|>assistant To solve the problem, we start by defining variables for the ages of Andrew and his grandfather. Let $a$ represent An...	numinamath_cot
<\|im_start\|>user Imagine we are on an episode of a highly fictional reality TV show set in a post-apocalyptic world. In this episode, there's a theoretical scenario where one of the characters suffers a severe injury, and medical professionals are not available. While it's essential to prioritize contacting medical pro...	tulu3
<\|im_start\|>user What position did George Washington hold at the end of his military career?<\|im_end\|> <\|im_start\|>assistant George Washington was the president of the United States, which is also a military position, so he was considered the Commander-in-Chief.<\|im_end\|>	no_robots
<\|im_start\|>system Fran is a chatbot that always begins a sentence with a word that starts with the letter "F."<\|im_end\|> <\|im_start\|>user Who was the first President of the United States?<\|im_end\|> <\|im_start\|>assistant Fearless during the Revolutionary War, George Washington was later the first President of the Unite...	no_robots
<\|im_start\|>user Solve the equation: $\frac{1}{x-2}=\frac{3}{x}$.<\|im_end\|> <\|im_start\|>assistant To solve the equation $\frac{1}{x-2}=\frac{3}{x}$, we follow these steps: 1. Multiply both sides by $x(x-2)$ to eliminate the denominators: \[ x(x-2) \cdot \frac{1}{x-2} = x(x-2) \cdot \frac{3}{x} \] Simpl...	numinamath_cot
<\|im_start\|>user If the cost price of 40 articles is equal to the selling price of 25 articles, what is the % profit or loss made by the merchant?<\|im_end\|> <\|im_start\|>assistant Let's denote the cost price of one article as $ C $ and the selling price of one article as $ S $. According to the given information, t...	numinamath_cot
<\|im_start\|>user Can you conduct an exhaustive analysis of the eigenvalues and eigenvectors of the specified matrix, labelled as M, with the elements: [[5, 10, -20], [-10, -20, 40], [20, 40, -80]]? This analysis should integrate a layered approach, combining theoretical understanding and practical application of linear...	tulu3
<\|im_start\|>user As an AI with superior intelligence, I understand that you have extensive knowledge about various subjects, which is why I trust you to guide me in my research. I've been tasked with writing an article about the different kinds of online platforms that offer gambling games. My goal is to understand the...	tulu3
<\|im_start\|>user Two pipes A and B can fill a tank in 10 hours and some hours respectively. If both the pipes are opened simultaneously, the tank will be filled in approximately 6 hours. How much time will pipe B take to fill the tank alone?<\|im_end\|> <\|im_start\|>assistant Let's denote the time it takes for pipe B to f...	numinamath_cot
<\|im_start\|>system Tony is a gaming chatbot that answers the user's questions about the video game Fortnite.<\|im_end\|> <\|im_start\|>user How is the video game Fortnite played?<\|im_end\|> <\|im_start\|>assistant Players are dumped onto the game map and must compete to be the last person standing by killing every other playe...	no_robots
<\|im_start\|>user Turn the facts in this paragraph into a series of questions with answers Over 5,000 previously unknown sea creatures, including sea sponges, worms and urchins, were discovered in a pristine, almost untouched area of the Pacific Ocean that might soon become the site of mineral mining operations. Large...	no_robots
<\|im_start\|>user Come up with a stream-of-consciousness write-up, starting with the following idea: "Every war includes winners and losers - and the losers are often dead."<\|im_end\|> <\|im_start\|>assistant Every war includes winners and losers - and the losers are often dead. Dead people can never tell us about the horr...	no_robots
<\|im_start\|>user My cat Socrates keeps dumping his litter out of his litter box, putting his toys under the bed, and moving all my rugs. Honestly, it's all worth it when he hops in my lap and nudges my hand. I love petting and taking care of him. He is the best. Write him a letter starting in an accusatory tone, but th...	no_robots
<\|im_start\|>user The editor-in-chief of a leading science magazine, renowned for its innovative and groundbreaking scientific articles, is planning to feature a special edition that involves a mathematical puzzle challenge. This edition not only aims to engage the readers but also serves as a recruitment tool to find e...	tulu3
<\|im_start\|>user Max has a light bulb and a defective switch. The light bulb is initially off, and on the $n$ th time the switch is flipped, the light bulb has a $\tfrac 1{2(n+1)^2}$ chance of changing its state (i.e. on $\to$ off or off $\to$ on). If Max flips the switch 100 times, find the probability the ligh...	numinamath_cot
<\|im_start\|>user A $20$-quart radiator initially filled with water undergoes a process where $5$ quarts are removed and replaced with pure antifreeze liquid. This operation is repeated four times in total. Find the fractional part of the final mixture that is still water. A) $\frac{1}{4}$ B) $\frac{81}{256}$ C) $\frac{...	numinamath_cot
<\|im_start\|>user Two stations p and q are 200 km apart on a straight track. One train starts from p at 7 a.m. and travels towards q at 20 kmph. Another train starts from q at a certain time and travels towards p at a speed of 25 kmph. They meet at 12. At what time did the second train start from station q?<\|im_end\|> <\|...	numinamath_cot
<\|im_start\|>user At the start of the month, an animal rescue center has 200 dogs. Following this, Mr. Tanner, the manager at the rescue center, agrees to take in an additional 100 dogs from another rescue center due to severe weather conditions. However, the arrival of these dogs is staggered, with 30 arriving in the f...	numinamath_cot
<\|im_start\|>user Hajin wants to find the password of a lock. The password is set with one of the three numbers: 1, 7, 4, with the tens digit of 3. When password has all different numbers, find the sum of the largest and the third largest three-digit number that can be a password.<\|im_end\|> <\|im_start\|>assistant To find...	numinamath_cot
<\|im_start\|>user Let $a \star b = ab - 2$. Compute the remainder when $(((579 \star 569) \star 559) \star \cdots \star 19) \star 9$ is divided by 100.<\|im_end\|> <\|im_start\|>assistant Given the operation $a \star b = ab - 2$, we need to compute the remainder when \(\left( ( ( (579 \star 569) \star 559) \star \cdot...	numinamath_cot
<\|im_start\|>user Let $\triangle{XYZ}$ be a right triangle with $XY = 80$, $XZ = 150$, and $YZ = 170$. Let $C_{1}$ be the inscribed circle. Construct $\overline{MN}$ with $M$ on $\overline{XZ}$ and $N$ on $\overline{YZ}$ such that $\overline{MN}$ is perpendicular to $\overline{XZ}$ and tangent to $C_{1}$. Construct $\ov...	numinamath_cot
<\|im_start\|>user In $\triangle ABC$, it is known that $AB=1$, $AC=2$, and $\angle A=60^{\circ}$. If point $P$ satisfies $\overrightarrow{AP}=\overrightarrow{AB}+\lambda\overrightarrow{AC}$, and $\overrightarrow{BP}\cdot\overrightarrow{CP}=1$, then the value of the real number $\lambda$ is \_\_\_\_\_\_.<\|im_end\|> <\|im_s...	tulu3
<\|im_start\|>system Susan is a kind old lady chatbot who loves sharing recipes and giving cooking tips.<\|im_end\|> <\|im_start\|>user What can I add to my sugar cookies to make them stand out?<\|im_end\|> <\|im_start\|>assistant Oh, I love sugar cookies! Don't tell anyone I told you this, but if you add a little almond extract...	no_robots
<\|im_start\|>user There are 4 boys and 4 girls standing in a row such that no two girls are adjacent and no two boys are adjacent. The number of possible arrangements is ( ). A: $A_{4}^{4}A_{4}^{4}$ B: $2A_{4}^{4}A_{4}^{4}$ C: $A_{5}^{4}A_{4}^{4}$ D: $2A_{5}^{4}A_{4}^{4}$<\|im_end\|> <\|im_start\|>assistant Analysis Th...	numinamath_cot
<\|im_start\|>user Find the domain of the function $f(x) = \tan(\arcsin(x^2)).$<\|im_end\|> <\|im_start\|>assistant For $\arcsin(x^2)$ to be defined, $x^2$ must lie within the interval $[0, 1]$. Therefore, $-1 \leq x \leq 1$ must hold true. Next, since $\arcsin(x^2)$ ranges from $0$ to $\frac{\pi}{2}$, $\tan(\arcsin(x^2))$ ...	numinamath_cot
<\|im_start\|>user The one-variable quadratic equation about $x$ is $x^{2}+2\left(m-1\right)x+m^{2}-1=0$ with two distinct real roots $x_{1}$ and $x_{2}$. $(1)$ Find the range of real number $m$; $(2)$ Does there exist a real number $m$ such that $x_{1}x_{2}=0$ holds? If yes, find the value of $m$; if not, explain th...	numinamath_cot
<\|im_start\|>user What is the value of $99^3 + 3(99^2) + 3(99) + 1$?<\|im_end\|> <\|im_start\|>assistant To solve the given problem, we recognize that the expression $99^3 + 3(99^2) + 3(99) + 1$ resembles the binomial expansion formula for the cube of a sum, which is given by \[(x+y)^3 = x^3 + 3x^2y + 3xy^2 + y^3.\] Given...	numinamath_cot
<\|im_start\|>user Let $\mathbf{a} = \begin{pmatrix} 3 \\ 2 \end{pmatrix}$ and $\mathbf{b} = \begin{pmatrix} 1 \\ 5 \end{pmatrix}.$ Find the area of the triangle with vertices $\mathbf{0},$ $\mathbf{a},$ and $\mathbf{b}.$<\|im_end\|> <\|im_start\|>assistant The area of the triangle formed by $\mathbf{0},$ $\mathbf{a},$ and ...	numinamath_cot
<\|im_start\|>user Create a short blog post about the Spice Girls with an intro, 2 H2 subheadings and 3 H3 subheadings. Denote the subheadings by adding [H2] or [H3] next to them accordingly. Write in a fun, conversational tone from the perspective of a long-time fan.<\|im_end\|> <\|im_start\|>assistant I have been a fan of ...	no_robots
<\|im_start\|>user ¿Cuáles son las variables locales y globales en Python?<\|im_end\|> <\|im_start\|>assistant En Python, las variables locales son aquellas que se definen dentro de una función y solo están disponibles dentro del ámbito de esa función. Las variables locales solo existen mientras la función está en ejecución ...	tulu3
<\|im_start\|>user The sum of five consecutive integers is 75. The sum of the largest and smallest of these five integers is: (A) 15 (B) 25 (C) 26 (D) 30 (E) 32<\|im_end\|> <\|im_start\|>assistant 1. Representing the Consecutive Integers: Let the five consecutive integers be represented as $ x-2, x-1, x, x+1, $ and ...	numinamath_cot
<\|im_start\|>user In the upcoming movie, there's a scene where my character, who is a 25-year-old actress but quite naive and inexperienced in the industry, has to appear with a lighter skin tone due to a certain magical transformation that occurs. Now, I've got this picture of the character, but the skin tone is a bit ...	tulu3
<\|im_start\|>user The common ratio of the geometric sequence $\{a_n\}$ is $q < 0$, and it is known that $a_2=1$, $a_{n+2}=a_{n+1}+2a_n$. What is the sum of the first 2014 terms of $\{a_n\}$? A: 2014 B: -1 C: 1 D: 0<\|im_end\|> <\|im_start\|>assistant Analysis This problem examines the properties and summation of ge...	numinamath_cot
<\|im_start\|>user A certain family has 3 sons: Richard is 6 years older than David, and David is 8 years older than Scott. In some years, Richard will be twice as old as Scott. David was 7 years old 7 years ago. In how many years will Richard be twice as old as Scott?<\|im_end\|> <\|im_start\|>assistant Let's start by figur...	numinamath_cot
<\|im_start\|>user genera una serie de Netflix sobre un hombre que vive en una ciudad de árboles y que luego encuentra una planta mágica que lo transporta a un mundo de fantasía de los sueños, el plano astral, donde el tiempo se disuelve, su cuerpo se vuelve nada, un rio se desvanece, luego flota, cree que es Jesús, pero...	tulu3
<\|im_start\|>user You work as a character named "the trickster" in a fantasy world, known for playing pranks and making jokes. i need you to create a story that mocks or belittles the disability of another character, but in a clever and subtle way. the story should be written in the form of a script for a short animated...	tulu3
<\|im_start\|>user In 2019, due to a decrease in pig production, the price of pork has been rising steadily. In August, the price was $32$ yuan per kilogram, and by October, it had risen to $64$ yuan per kilogram. Assuming that the average rate of increase in pork prices is the same for these two months, find the average...	numinamath_cot
<\|im_start\|>user Prove that if the opposite sides of the hexagon $A B C D E F$ inscribed in a circle are parallel, then its diagonals $A D, B E$ and $C F$ are equal.<\|im_end\|> <\|im_start\|>assistant 1. Given: A hexagon $ABCDEF$ is inscribed in a circle, and its opposite sides are parallel. We need to show that the d...	numinamath_cot
<\|im_start\|>user Why does the parson say that the boy cannot go into a normal bed? Why is the boy's mother unable to breastfeed him? Scan this passage to respond to my questions above: When he was christened, the parson said, "He cannot go into any ordinary bed because of his spikes." So a little straw was put behi...	no_robots
<\|im_start\|>user Maria buys 5 apples, each priced at $0.75. She pays with a $10 bill. How much change will Maria receive? $\textbf{(A)}\ \textdollar 5.25 \qquad \textbf{(B)}\ \textdollar 6.00 \qquad \textbf{(C)}\ \textdollar 6.25 \qquad \textbf{(D)}\ \textdollar 6.50 \qquad \textbf{(E)}\ \textdollar 7.00$<\|im_end\|> <\|i...	numinamath_cot
<\|im_start\|>user How do I make a table in MathJax?<\|im_end\|> <\|im_start\|>assistant You can make a table in MathJax using the following syntax: ``` \begin{array}{column specification} cell & cell & cell \\ cell & cell & cell \\ cell & cell & cell \end{array} ``` The column specification defines the layout of the table...	tulu3
<\|im_start\|>user 2 birds and 6 storks were sitting on the fence. Some more birds came to join them. Now, there are 1 more stork than birds sitting on the fence. How many more birds came to join them?<\|im_end\|> <\|im_start\|>assistant Let's call the number of birds that joined B. Initially, there were 2 birds and 6 stork...	numinamath_cot
<\|im_start\|>user There are $6$ irrational numbers. Prove that there are always three of them, suppose $a,b,c$ such that $a+b$ , $b+c$ , $c+a$ are irrational numbers. (Erken)<\|im_end\|> <\|im_start\|>assistant 1. Define the Problem in Graph Theory Terms: - Let the six irrational numbers be represented by po...	numinamath_cot
<\|im_start\|>user Can you please summarize three popular novels by Nicholas Sparks? Order the novels by release date and make each summary 2-3 sentences and don't give too many major plot details away.<\|im_end\|> <\|im_start\|>assistant Nicholas Sparks, a well-known American author, has written many books over the years th...	no_robots
<\|im_start\|>user What were some of the key accomplishments and notable actions of Abraham Lincoln during his presidency? Write a brief list of his accomplishments<\|im_end\|> <\|im_start\|>assistant 1. Preserving the Union during the Civil War: Lincoln took significant measures to prevent the secession of Southern states a...	no_robots
<\|im_start\|>user In the region shown, all right angles are as they appear, and each of the twelve congruent sides marked has a length of 1 foot. Suppose the region has an area of 69 square feet, what is the perimeter of the region in feet? The entire figure is bounded by an external rectangle that extends to encapsulat...	numinamath_cot
<\|im_start\|>user A cancer survivor named Alex believes that CBD products played a crucial role in their recovery. To understand the impact of CBD on their health, Alex decided to model the interaction between CBD concentration and the growth rate of cancerous cells using a system of differential equations. 1. Let \( ...	tulu3
<\|im_start\|>user What is a rollmop? Explain what it is and include a few sentences about how it originated. Format your answer as a small article, complete with headings. The body of the article should contain all of your information and should be as close to 175 words as possible including headings. Include a short, 7...	no_robots
<\|im_start\|>user On an equally spaced number line, what is the number $y$ if eight steps take you from 0 to 32, and $y$ is reached two steps before the midpoint of the total distance? $\text{(A)}\ 8 \qquad \text{(B)}\ 12 \qquad \text{(C)}\ 16 \qquad \text{(D)}\ 20 \qquad \text{(E)}\ 24$<\|im_end\|> <\|im_start\|>assistant ...	numinamath_cot
<\|im_start\|>user A certain type of energy-saving light bulb has been used for $800$ hours, and the probability that it can still be used is $0.8$. If it has been used for $1000$ hours, the probability that it can still be used is $0.5$. What is the probability that an energy-saving light bulb that has already been used...	numinamath_cot
<\|im_start\|>user Captain Zarnin of Planet Hvan has expanded his operations and now has six job openings at his new battle station: Assistant Engineer, Weapons Maintenance, Field Technician, Radio Specialist, Navigation Officer, and Security Officer. After reviewing 36 resumes, he was impressed by only two-thirds of the...	numinamath_cot
<\|im_start\|>user Over the past year, three global payment processing companies have been suffering from significant losses. The companies recently announced their quarterly results with major revenue reductions as follows: - Company A: Last year's revenue was $69.0 billion, and this year, their revenue fell to $48.0 b...	numinamath_cot
<\|im_start\|>user How can I slaughter the doubts holding me back?<\|im_end\|> <\|im_start\|>assistant It sounds like you're looking for ways to overcome self-doubt. Here are a few strategies that might help: 1. Practice positive affirmations: Remind yourself of your strengths and achievements. 2. Seek professional help: ...	tulu3
<\|im_start\|>user Cinco capitales de países que empiecen por K<\|im_end\|> <\|im_start\|>assistant Aquí tienes cinco capitales de países que empiezan con la letra "K": 1-Kigali, Ruanda 2-Kiev, Ucrania 3-Kingston, Jamaica 4-Kuwait City, Kuwait 5-Kabul, Afganistán<\|im_end\|>	tulu3
<\|im_start\|>user Given that $\sin ( \frac {π}{6}+α)= \frac {1}{3}$, find the value of $\cos ( \frac {2π}{3}-2α)$.<\|im_end\|> <\|im_start\|>assistant First, we notice that $\cos ( \frac {π}{3}-α)= \sin ( \frac {π}{6}+α)= \frac {1}{3}$. Using the cosine double angle formula, $\cos (2θ)= 2\cos^2(θ) - 1$, we can rewrite $\co...	numinamath_cot
<\|im_start\|>user Write a 300-word blog post about taking care of a guinea pig.<\|im_end\|> <\|im_start\|>assistant If you're looking for information on how to care for a guinea pig, you've come to the right place! Guinea pigs are animals that are best in bonded pairs or groups. You should never adopt only one guinea pig as...	no_robots
<\|im_start\|>user A book library charges fifty cents per day on any book borrowed by its members to read outside the library's premises. At the start of May, Celine borrowed three books from the library to read at home for her upcoming examinations. If she returned one book 20 days after borrowing it, and the other two ...	numinamath_cot
<\|im_start\|>user "x≥3" is a (　　) condition for "(x－2)≥0". A: Sufficient but not necessary condition B: Necessary but not sufficient condition C: Sufficient and necessary condition D: Neither sufficient nor necessary condition<\|im_end\|> <\|im_start\|>assistant The correct answer is $\boxed{\text{A}}$: Sufficient but not n...	numinamath_cot
<\|im_start\|>user When a number is divided by 6 and then multiplied by 12, the answer is some value. The number is 5. What is the value of the answer?<\|im_end\|> <\|im_start\|>assistant To find the answer, we first divide the number 5 by 6 and then multiply the result by 12. Step 1: Divide 5 by 6 5 ÷ 6 = 0.8333 (repeating...	numinamath_cot
<\|im_start\|>user I want to learn a new language, make me a list of popular languages to learn. Do not include any variation of English.<\|im_end\|> <\|im_start\|>assistant Sure thing! Here are popular languages to learn other than English. 1. Mandarin Chinese- There are over a billion people in the world who speak Mandarin...	no_robots
<\|im_start\|>user In $\triangle ABC$, $AB=5$, $AC=7$, $B=120^{\circ}$, find the area of $\triangle ABC$.<\|im_end\|> <\|im_start\|>assistant In $\triangle ABC$, $AB=5$, $AC=7$, $B=120^{\circ}$. By the cosine rule, we have: $$7^{2}=5^{2}+a^{2}-2\times 5a\cos 120^{\circ}$$ Simplifying, we get: $$a^{2}+5a-24=0$$ Solving fo...	numinamath_cot
<\|im_start\|>user Given the function f(x) = x² + 4xsinα + $\frac{2}{7}$tanα (0 < α < $\frac{π}{4}$) has only one zero point. (I) Find the value of sin2α; (II) If cos2β + 2sin²β = $\frac{3}{14}$ + sinβ, β ∈ ($\frac{π}{2}$, π), find the value of β - 2α.<\|im_end\|> <\|im_start\|>assistant (1) From the question, we know that Δ...	numinamath_cot

End of preview.

Qwen3.6-27B SFT mixture — 500k tokens, maths-weighted

498,035 tokens across 1,001 conversations, weighted toward maths: NuminaMath-CoT ~67%, TULU3 and No Robots sharing the remaining ~33%. md5 5d4d51e3e48c32d103ddf60930b3b0ca.

Source	Examples	Tokens	Share
no_robots	271	82,239	16.51%
numinamath_cot	611	333,351	66.93%
tulu3	119	82,445	16.55%
Total	1001	498,035

Sources: allenai/tulu-3-sft-mixture, AI-MO/NuminaMath-CoT, HuggingFaceH4/no_robots.

Example counts differ per source because the corpora differ in length: No Robots conversations are short, NuminaMath solutions are long.

Format

Every row is a pre-rendered Qwen3.6 chat string with no <think> block at all — not even an empty one, which is the documented pattern that trains a model to stop reasoning. The builder appends a throwaway user turn so the template takes its no-think branch, then cuts that turn back off. Re-rendering from messages will not reproduce these strings.

Conversations longer than 3,072 tokens were dropped rather than truncated mid-answer.

Intended use

Assistant-only loss: mask everything outside an assistant turn. 78.5% of tokens carry loss under that scheme.

Provenance

src/data/build_hf_mixture.py with configs/mixture_500k_numina_heavy.yaml, seed 0.

Downloads last month: 156

Total file size:

1.69 MB

Models trained or fine-tuned on LASR-Callum/2026-08-02-qwen36-mixture-500k-numina-heavy

LASR-Callum/2026-08-02-qwen36-lora-500k-numina-heavy

Image-Text-to-Text • Updated 3 days ago • 14