conversations listlengths 2 2 | dataset_index stringlengths 2 2 | completion_tokens int64 1.38k 32.4k |
|---|---|---|
[
{
"from": "user",
"value": "Cities $A$ and $B$ are $45$ miles apart. Alicia lives in $A$ and Beth lives in $B$. Alicia bikes towards $B$ at 18 miles per hour. Leaving at the same time, Beth bikes toward $A$ at 12 miles per hour. How many miles from City $A$ will they be when they meet?\nPlease reason step b... | 43 | 1,378 |
[
{
"from": "user",
"value": "Positive real numbers $x$ and $y$ satisfy $y^3=x^2$ and $(y-x)^2=4y^2$. What is $x+y$?\nPlease reason step by step, and put your final answer within \\boxed{}."
},
{
"from": "assistant",
"value": "<think>\nI have two equations with positive real numbers \\( x \\) and ... | 44 | 2,549 |
[
{
"from": "user",
"value": "What is the degree measure of the acute angle formed by lines with slopes $2$ and $\\frac{1}{3}$?\nPlease reason step by step, and put your final answer within \\boxed{}."
},
{
"from": "assistant",
"value": "<think>\nI need to find the degree measure of the acute angl... | 45 | 2,908 |
[
{
"from": "user",
"value": "What is the value of\n\\[2^3 - 1^3 + 4^3 - 3^3 + 6^3 - 5^3 + \\dots + 18^3 - 17^3?\\]\nPlease reason step by step, and put your final answer within \\boxed{}."
},
{
"from": "assistant",
"value": "<think>\nI need to evaluate this expression: \\(2^3 - 1^3 + 4^3 - 3^3 + ... | 46 | 6,902 |
[
{
"from": "user",
"value": "In a table tennis tournament every participant played every other participant exactly once. Although there were twice as many right-handed players as left-handed players, the number of games won by left-handed players was $40\\%$ more than the number of games won by right-handed ... | 47 | 10,557 |
[
{
"from": "user",
"value": "How many complex numbers satisfy the equation $z^5=\\overline{z}$, where $\\overline{z}$ is the conjugate of the complex number $z$?\nPlease reason step by step, and put your final answer within \\boxed{}."
},
{
"from": "assistant",
"value": "<think>\nI need to find h... | 48 | 12,420 |
[
{
"from": "user",
"value": "Consider the set of complex numbers $z$ satisfying $|1+z+z^{2}|=4$. The maximum value of the imaginary part of $z$ can be written in the form $\\tfrac{\\sqrt{m}}{n}$, where $m$ and $n$ are relatively prime positive integers. What is $m+n$?\nPlease reason step by step, and put you... | 49 | 19,610 |
[{"from":"user","value":"Flora the frog starts at 0 on the number line and makes a sequence of jumps(...TRUNCATED) | 50 | 25,062 |
[{"from":"user","value":"What is the product of all solutions to the equation\n\\[\\log_{7x}2023\\cd(...TRUNCATED) | 51 | 17,744 |
[{"from":"user","value":"The weight of $\\frac{1}{3}$ of a large pizza together with $3 \\frac{1}{2}(...TRUNCATED) | 52 | 4,141 |
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