conversations listlengths 2 2 | shard_id stringclasses 9
values | output stringlengths 0 32.8k | ngram_3_uniqueness float64 0.41 0.41 | entropy float64 12 12 ⌀ | gini_index float64 0 0 ⌀ | self_bleu float64 0.84 0.84 ⌀ | embeddings stringlengths 12.5k 12.5k ⌀ | kmeans_inertia_embeddings float64 5.16M 5.16M ⌀ |
|---|---|---|---|---|---|---|---|---|
[
{
"from": "human",
"value": "Reaching high levels of professional and financial success at any cost has been the modern-day Mecca to multitudes of business men and women for several decades. Unfortunately, the attainment of such an all-consuming goal has not produced the peace and happiness that was expecte... | slim-orca_gpt-4o-mini::subsample | B. not enough information | 0.405561 | 12.010547 | 0 | 0.841802 | [ 1.01729758e-01 3.64728831e-02 -7.14277029e-02 -1.12350509e-02
-3.21598314e-02 -1.22943129e-02 4.72971760e-02 -1.81820076e-02
-1.13533080e-01 2.09200885e-02 3.16434413e-01 -3.36105214e-03
1.02947392e-01 5.18227145e-02 -8.72099176e-02 2.12953370e-02
7.95990899e-02 1.01583831e-01 -6.95015714e-02 -9.18287039... | 5,160,246.751024 |
[
{
"from": "human",
"value": "**Problem: Singular Value Decomposition (SVD)**\n\nLet \\( A \\) be the \\( 3 \\times 2 \\) matrix given by\n\n\\[\nA = \\begin{pmatrix}\n4 & 0 \\\\\n3 & -5 \\\\\n1 & 2\n\\end{pmatrix}.\n\\]\n\n1. Compute the singular values of the matrix \\( A \\).\n2. Perform the singular valu... | camel_math_gpt-4o-mini::convert_to_sharegpt | To solve the problem of Singular Value Decomposition (SVD) for the given matrix \( A \), we'll follow the steps outlined in the problem statement.
**Step 1: Compute the singular values of the matrix \( A \)**
First, calculate \( A^T A \):
\[
A^T = \begin{pmatrix}
4 & 3 & 1 \\
0 & -5 & 2
\end{pmatrix}
\]
Now, comput... | 0.405561 | 12.010547 | 0 | 0.841802 | [-5.55779599e-02 -2.62038969e-02 -8.51547439e-03 6.42842799e-02
1.99772164e-01 -3.28491181e-02 -5.53658456e-02 2.84111314e-02
3.04492768e-02 -5.75360954e-02 -2.11708073e-04 1.96627602e-01
1.84093527e-02 2.36262828e-02 -7.60766193e-02 9.00173783e-02
4.10104245e-02 1.32822350e-01 -1.36725157e-01 -6.32472485... | 5,160,246.751024 |
[
{
"from": "human",
"value": "Please answer the following question: - Take out an ice cube tray - Fill the tray with water from the faucet - Put the ice cube tray in the freezer - Wait for several hours - The water will freeze and become ice - Remove the ice cube tray from the freezer What might be the las... | slim-orca_gpt-4o-mini::subsample | The last step of the process might be to twist or flex the ice cube tray to release the ice cubes. Then you can enjoy the ice cubes in your drinks or store them in a container. | 0.405561 | 12.010547 | 0 | 0.841802 | [ 1.17161386e-01 -1.82682961e-01 2.37281099e-02 1.55772835e-01
-1.42864212e-01 -1.01375543e-02 -2.76948381e-02 -3.62424701e-02
9.52331945e-02 1.26585230e-01 -6.30809665e-02 1.15084693e-01
2.83267861e-03 5.07073849e-02 -6.07737936e-02 -1.67363405e-01
-8.59433636e-02 -3.04131322e-02 5.67008294e-02 -2.98536178... | 5,160,246.751024 |
[
{
"from": "human",
"value": "The government gives the bottom 20% of people a $2000 stimulus. They have found that X times as much money to the government, in terms of tax revenue, as it cost. The city has 1000 people in it. What was the government profit from this project? If we know the answer to the above... | metamath_gpt-4o-mini::convert_instruction_response_to_sharegpt | To solve this problem, we need to determine how much profit the government made from giving the bottom 20% of the people a $2000 stimulus and how that relates to the unknown variable X.
Let's break down the information given:
- The total population of the city is 1000 people.
- The bottom 20% of people is 20% of 1000,... | 0.405561 | 12.010547 | 0 | 0.841802 | [-5.14843054e-02 1.40476957e-01 -5.92565536e-02 1.40697807e-01
-3.56461518e-02 8.78391340e-02 -7.52238110e-02 -1.39616756e-02
-2.05778271e-01 -4.17868532e-02 9.18873698e-02 3.16319652e-02
6.93458095e-02 2.33510107e-01 -2.06946768e-02 -9.46800187e-02
-6.60899933e-03 5.94767518e-02 -1.70217566e-02 3.66960205... | 5,160,246.751024 |
[
{
"from": "human",
"value": "The One-colored Catasetum (Catasetum purum) is a species of orchid found in Brazil. Given a list of categories: company, educational institution, artist, athlete, office holder, mean of transportation, building, natural place, village, animal, plant, album, film or written work,... | slim-orca_gpt-4o-mini::subsample | The One-colored Catasetum (Catasetum purum) is a species of orchid found in Brazil. Based on the provided categories, this paragraph belongs to the category "plant." The description specifically refers to a plant species, which categorizes it as part of the botanical domain. | 0.405561 | 12.010547 | 0 | 0.841802 | [ 1.44518584e-01 6.73204567e-03 -5.68565652e-02 5.31223826e-02
-1.00158542e-01 7.42089935e-03 1.04601182e-01 -2.28306255e-03
-2.15511657e-02 -1.19002692e-01 -5.43220490e-02 -1.43824533e-01
3.01930457e-02 -1.11042418e-01 5.03046215e-02 -7.23485947e-02
1.76501721e-01 1.29968897e-02 1.03481277e-03 -5.95576167... | 5,160,246.751024 |
[
{
"from": "human",
"value": "Answer the following question: When people are huddled at a conference or professional event, the subject often turns to the value of failure and embracing feedback. “It is the key to self improvement!”, many chant, channeling their inner self-help gurus, Sadly, many don’t quite... | slim-orca_gpt-4o-mini::subsample | The focus of your question seems to be about understanding who is likely to accept feedback and learn from failure, and the answer encompasses people in various roles and contexts, though it primarily revolves around human behavior.
1. **People**: The primary group that takes feedback includes individuals in various ... | 0.405561 | 12.010547 | 0 | 0.841802 | [ 2.54846394e-01 6.76470296e-03 9.22135005e-05 -1.27011076e-01
2.91161425e-02 2.56453454e-02 -7.95456991e-02 3.15023027e-02
1.74268037e-02 -7.52955601e-02 -1.13402627e-01 1.10936388e-01
-3.14279310e-02 -8.92357305e-02 8.47009793e-02 -1.34137169e-01
-4.10702974e-02 8.68345350e-02 8.60733539e-03 1.59416460... | 5,160,246.751024 |
[
{
"from": "human",
"value": "Generate a possible title for a book about overcoming anxiety."
},
{
"from": "gpt",
"value": "\"Finding Calm: A Journey through Anxiety to Inner Peace.\""
}
] | alpaca_gpt-4o-mini::convert_alpaca_to_sharegpt | "Finding Calm: A Journey through Anxiety to Inner Peace." | 0.405561 | 12.010547 | 0 | 0.841802 | [ 8.42469186e-02 1.00446872e-01 -1.68725140e-02 -2.67781578e-02
1.59583483e-02 6.01588227e-02 -3.63534093e-02 -4.98342998e-02
6.09143004e-02 9.95807350e-02 4.47446331e-02 5.14631066e-03
7.67101394e-03 -2.40212753e-01 -8.25460851e-02 -1.46692812e-01
5.60616329e-02 1.53748065e-01 1.35013357e-01 8.91521052... | 5,160,246.751024 |
[
{
"from": "human",
"value": "Please categorize the provided title according to the following topics: 0 for 'Society & Culture', 1 for 'Science & Mathematics', 2 for 'Health', 3 for 'Education & Reference', 4 for 'Computers & Internet', 5 for 'Sports', 6 for 'Business & Finance', 7 for 'Entertainment & Music... | unnatural_instructions_gpt-4o-mini::convert_to_sharegpt | 2 | 0.405561 | 12.010547 | 0 | 0.841802 | [ 1.44317120e-01 9.89982411e-02 5.96167482e-02 -8.80127326e-02
-8.87244344e-02 -1.60565451e-01 -1.52557278e-02 6.18139207e-02
-5.07040620e-02 1.82581376e-02 2.98491359e-01 -1.42718270e-01
-5.06210513e-02 4.88236882e-02 -1.32450582e-02 2.59406622e-02
6.93058372e-02 5.09113073e-03 -5.81662767e-02 7.40180388... | 5,160,246.751024 |
[
{
"from": "human",
"value": "Sure! Here’s a problem based on Fermat's Little Theorem:\n\n**Problem:**\n\nLet \\( p \\) be a prime number and \\( a \\) be an integer such that \\( a \\) is not divisible by \\( p \\).\n\n1. Verify Fermat's Little Theorem for \\( a = 3 \\) and \\( p = 7 \\) by calculating \\( ... | camel_math_gpt-4o-mini::convert_to_sharegpt | Let's go through the problem step by step using Fermat's Little Theorem, which states that if \( p \) is a prime number and \( a \) is an integer not divisible by \( p \), then:
\[
a^{p-1} \equiv 1 \mod p
\]
### Part 1: Verify Fermat's Little Theorem for \( a = 3 \) and \( p = 7 \)
Given \( a = 3 \) and \( p = 7 \),... | 0.405561 | 12.010547 | 0 | 0.841802 | [ 1.70481607e-01 1.46284262e-02 -3.68601754e-02 1.06141135e-01
-4.49117273e-02 -2.02421360e-02 -2.73336489e-02 1.10654101e-01
-8.72691721e-02 2.21081376e-02 -3.68911400e-02 3.13263297e-01
1.87592693e-02 -2.29187503e-01 -4.40726951e-02 -2.66971886e-02
-3.00673582e-02 1.07556880e-01 3.07307169e-02 8.14310741... | 5,160,246.751024 |
[
{
"from": "human",
"value": "Q:What gang is responsible for Perry's broken arm? Answer the above question based on the context below: Joey and Turkey are members of the Wanderers, an all-Italian-American street gang. In the Bronx, New York, Joey tries to dissuade Turkey from joining a rival gang, the Ford... | slim-orca_gpt-4o-mini::subsample | The gang responsible for Perry's broken arm is the all-Irish-American street gang called the Ducky Boys. | 0.405561 | 12.010547 | 0 | 0.841802 | [-3.16556171e-02 1.58764109e-01 1.11982480e-01 -1.93180609e-02
6.00678921e-02 8.82123634e-02 1.22877404e-01 -7.43121654e-02
-1.95097119e-01 7.71152452e-02 -6.25702739e-03 -5.37538342e-02
2.67792106e-01 -1.74705997e-01 8.53895023e-02 4.36230153e-02
4.56710421e-02 1.66246165e-02 8.07561949e-02 -9.75561291... | 5,160,246.751024 |
[
{
"from": "human",
"value": "Background: Gibberellins are hormones that cause the plant to grow. When gibberellins are applied to plants by scientists, the stems grow longer. Some gardeners or horticulture scientists add gibberellins to increase the growth of plants. Dwarf plants (small plants), on the othe... | slim-orca_gpt-4o-mini::subsample | The answer to this question is: Plant B would have lower levels of gibberellins.
Reasoning: According to the background information, dwarf plants (which are smaller in size) have low levels of gibberellins, while larger plants have higher levels of gibberellins. Since plant A is described as "very large" and plant B ... | 0.405561 | 12.010547 | 0 | 0.841802 | [ 7.83680007e-02 2.01393291e-02 4.08197753e-02 1.17038436e-01
-9.06021819e-02 2.77405808e-04 -4.26557427e-03 5.50170168e-02
8.73045623e-02 -9.12762061e-02 3.07952147e-02 9.96208042e-02
9.66371875e-03 -2.48545296e-02 3.51299485e-03 -9.68619809e-02
-6.65045455e-02 -4.76902425e-02 1.19624972e-01 -4.37867977... | 5,160,246.751024 |
[
{
"from": "human",
"value": "Summarize this article in one sentence.\nDampen a cotton ball with rubbing alcohol. Then, dab the dye stain with the cotton ball. Discard the cotton ball if any dye rubs off on it. Afterward, use another damp cotton ball to remove any dye that remains. If dabbing the stain doesn... | slim-orca_gpt-4o-mini::subsample | To remove a dye stain from a shoe, dampen a cotton ball with rubbing alcohol and dab the stain, discarding the cotton ball if dye transfers; if necessary, use a clean cloth with alcohol to wipe the stain, replacing the cloth as it absorbs dye, and then pat the shoe dry to eliminate any remaining color. | 0.405561 | 12.010547 | 0 | 0.841802 | [-4.46819440e-02 -8.59732833e-03 6.12144060e-02 5.90601116e-02
-8.61364156e-02 -8.39848816e-03 -1.20388083e-01 7.02085942e-02
-5.49059138e-02 -1.06377847e-01 -9.27477032e-02 1.98101327e-01
-2.73688249e-02 6.97640423e-03 -2.53026281e-02 2.18607247e-01
-1.01423450e-01 -6.87316060e-02 -2.93372609e-02 -3.53466980... | 5,160,246.751024 |
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