conversations listlengths 2 2 |
|---|
[
{
"from": "human",
"value": "Ancient Egyptians are known to have used a large set of symbols <image> to write on the walls of the temples. Fafa and Fifa went to one of the temples and found two non-empty words S1 and S2 of equal lengths on the wall of temple written one below the other. Since this temple is... |
[
{
"from": "human",
"value": "Write the MO electron distribution of O₂. Specify its bond order and magnetic property."
},
{
"from": "gpt",
"value": "<think> Okay, so I need to figure out the MO electron distribution for O₂ and determine its bond order and magnetic property. Let me start by recall... |
[
{
"from": "human",
"value": "Given positive integers $a$ and $b$ such that $\\frac{1}{3a} + \\frac{1}{2b} = \\frac{1}{11}$, what is the least possible value of $ab$?"
},
{
"from": "gpt",
"value": "<think> Okay, let me try to figure out this problem. So, we have positive integers a and b, and the... |
[
{
"from": "human",
"value": "Find the number of integer values of $b$ such that the equation\n$$x^3 + bx^2 + (b-1)x + 1 = 0$$\nhas at least one integer solution for $x$."
},
{
"from": "gpt",
"value": "<think> Okay, so I need to find how many integer values of \\( b \\) make the equation \\( x^3 ... |
[
{
"from": "human",
"value": "In $\\triangle ABC$, $AB = 3$, $BC = 2$, $CA = 4$, and point $P$ is on side $AB$ such that $\\triangle PBC$ is similar to $\\triangle PCA$. Find the ratio of the area of $\\triangle PBC$ to the area of $\\triangle PCA$."
},
{
"from": "gpt",
"value": "<think> Okay, so... |
[{"from":"human","value":"Find all three-digit positive integers whose cubes end with the digits 999(...TRUNCATED) |
[{"from":"human","value":"The sum of the squares of three positive integers $X$, $Y$, and $Z$ is equ(...TRUNCATED) |
[{"from":"human","value":"In a regular triangle, three congruent sectors with a central angle of $30(...TRUNCATED) |
[{"from":"human","value":"The molecular ions with m/z = 86 indicate that both ketones have the molec(...TRUNCATED) |
[{"from":"human","value":"Related: Interquine\nProgram A outputs program B's code when run, and B ou(...TRUNCATED) |
End of preview. Expand in Data Studio
README.md exists but content is empty.
- Downloads last month
- 6