id stringlengths 13 13 | answer stringlengths 1 159 | messages listlengths 2 2 |
|---|---|---|
sample_002738 | A | [
{
"role": "user",
"content": "Return your final response within \\boxed{}. In the $xy$-plane, the segment with endpoints $(-5,0)$ and $(25,0)$ is the diameter of a circle. If the point $(x,15)$ is on the circle, then $x=$\n$\\textbf{(A)}\\ 10 \\qquad\\textbf{(B)}\\ 12.5 \\qquad\\textbf{(C)}\\ 15\\qquad\\tex... |
sample_004420 | 80 | [
{
"role": "user",
"content": "Return your final response within \\boxed{}. Van was asked to add 46 to 37 and round the result to the nearest ten. He figured that since he was going to have to round anyway, he might as well do it before adding the numbers. He rounded 46 to 50 and 37 to 40, thus getting an an... |
sample_004621 | 880 | [
{
"role": "user",
"content": "Return your final response within \\boxed{}. There are positive integers $x$ and $y$ that satisfy the system of equations\\begin{align*} \\log_{10} x + 2 \\log_{10} (\\text{gcd}(x,y)) &= 60\\\\ \\log_{10} y + 2 \\log_{10} (\\text{lcm}(x,y)) &= 570. \\end{align*}Let $m$ be the n... |
sample_001928 | B | [
{
"role": "user",
"content": "Return your final response within \\boxed{}. A set of $n$ numbers has the sum $s$. Each number of the set is increased by $20$, then multiplied by $5$, and then decreased by $20$. The sum of the numbers in the new set thus obtained is:\n$\\textbf{(A)}\\ s \\plus{} 20n\\qquad \n... |
sample_000052 | A | [
{
"role": "user",
"content": "Return your final response within \\boxed{}. A shopper plans to purchase an item that has a listed price greater than $\\textdollar 100$ and can use any one of the three coupons. Coupon A gives $15\\%$ off the listed price, Coupon B gives $\\textdollar 30$ off the listed price,... |
sample_002592 | B | [
{
"role": "user",
"content": "Return your final response within \\boxed{}. For $p=1, 2, \\cdots, 10$ let $S_p$ be the sum of the first $40$ terms of the arithmetic progression whose first term is $p$ and whose common difference is $2p-1$; then $S_1+S_2+\\cdots+S_{10}$ is\n$\\mathrm{(A)\\ } 80000 \\qquad \\m... |
sample_003235 | 70 | [
{
"role": "user",
"content": "Return your final response within \\boxed{}. The least common multiple of $x$, $10$ and $14$ is $70$. What is the greatest possible value of $x$?"
},
{
"role": "assistant",
"content": "<think>\n[planning_next_step] Okay, let's tackle this problem step by step.\n\n[r... |
sample_005921 | \dfrac{3}{5} | [
{
"role": "user",
"content": "Return your final response within \\boxed{}. Two lines have the same non-zero $y$-intercept. The first line has a slope of 10 and an $x$-intercept of $(s, 0)$. The second line has a slope of 6 and an $x$-intercept of $(t, 0)$. What is the ratio of $s $ to $t$? Express your answ... |
sample_000943 | E | [
{
"role": "user",
"content": "Return your final response within \\boxed{}. Which of the following could not be the units digit [ones digit] of the square of a whole number?\n$\\text{(A)}\\ 1 \\qquad \\text{(B)}\\ 4 \\qquad \\text{(C)}\\ 5 \\qquad \\text{(D)}\\ 6 \\qquad \\text{(E)}\\ 8$"
},
{
"role"... |
sample_004641 | 110 | [
{
"role": "user",
"content": "Return your final response within \\boxed{}. $A, B, C, D,$ and $E$ are collinear in that order such that $AB = BC = 1, CD = 2,$ and $DE = 9$. If $P$ can be any point in space, what is the smallest possible value of $AP^2 + BP^2 + CP^2 + DP^2 + EP^2$?"
},
{
"role": "assi... |
sample_001810 | D | [
{
"role": "user",
"content": "Return your final response within \\boxed{}. A barn with a roof is rectangular in shape, $10$ yd. wide, $13$ yd. long and $5$ yd. high. It is to be painted inside and outside, and on the ceiling, but not on the roof or floor. The total number of sq. yd. to be painted is:\n$\\m... |
sample_000248 | D | [
{
"role": "user",
"content": "Return your final response within \\boxed{}. A ream of paper containing $500$ sheets is $5$ cm thick. Approximately how many sheets of this type of paper would there be in a stack $7.5$ cm high?\n$\\text{(A)}\\ 250 \\qquad \\text{(B)}\\ 550 \\qquad \\text{(C)}\\ 667 \\qquad \\t... |
sample_000085 | E | [
{
"role": "user",
"content": "Return your final response within \\boxed{}. If each of two intersecting lines intersects a hyperbola and neither line is tangent to the hyperbola, \nthen the possible number of points of intersection with the hyperbola is: \n$\\textbf{(A)}\\ 2\\qquad \\textbf{(B)}\\ 2\\text{ o... |
sample_005035 | 5 | [
{
"role": "user",
"content": "Return your final response within \\boxed{}. We are allowed to remove exactly one integer from the list $$-1,0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10,11,$$and then we choose two distinct integers at random from the remaining list. What number should we remove if we wish to maximize th... |
sample_001268 | E | [
{
"role": "user",
"content": "Return your final response within \\boxed{}. When $(a-b)^n,n\\ge2,ab\\ne0$, is expanded by the binomial theorem, it is found that when $a=kb$, where $k$ is a positive integer, the sum of the second and third terms is zero. Then $n$ equals:\n$\\text{(A) } \\tfrac{1}{2}k(k-1)\\qu... |
sample_002795 | D | [
{
"role": "user",
"content": "Return your final response within \\boxed{}. Located inside equilateral triangle $ABC$ is a point $P$ such that $PA=8$, $PB=6$, and $PC=10$. To the nearest integer the area of triangle $ABC$ is:\n$\\textbf{(A)}\\ 159\\qquad \\textbf{(B)}\\ 131\\qquad \\textbf{(C)}\\ 95\\qquad ... |
sample_005346 | -2 | [
{
"role": "user",
"content": "Return your final response within \\boxed{}. What is the slope of the line passing through $(-3,5)$ and $(2,-5)$?"
},
{
"role": "assistant",
"content": "<think>\n[restating_problem] Okay, so I need to find the slope of the line that passes through the points (-3, 5)... |
End of preview. Expand in Data Studio
bespoke-v2 labelled reasoning SFT set
Built from DeepSeek-R1 reasoning traces, span-annotated with one of eight labels per step. Derived from bespokelabs/Bespoke-Stratos-17k (Apache-2.0); the span labels and the chat formatting are this project's additions.
Targets Qwen3 specifically: the assistant turn is laid out the way the Qwen3 chat
template renders a thinking turn, so it can be tokenised with apply_chat_template
without any custom handling.
Format
Chat-style records ready for apply_chat_template:
| field | meaning |
|---|---|
id |
source sample id |
answer |
reference final answer, the \boxed{} content |
messages |
one user turn and one assistant turn |
Label format bracket, think format think.
Dropped labels: none.
Labels present in the targets: ['planning_next_step', 'restating_problem', 'recalling_knowledge', 'logical_deduction', 'reflecting', 'verifying', 'correcting_itself', 'concluding'].
Split sizes: train 5042, validation 102. Reasoning tokens kept: 100.0%.
Assistant turn
The assistant content embeds the reasoning inside <think> tags, which is what the
Qwen3 chat template expects of a thinking turn: it splits the tags back out and
re-renders them as <think>\n{reasoning}\n</think>\n\n{answer}. The text after
</think> is the reference solution, so the model learns to close the thought and
then state a clean \boxed{} result.
Because the assistant turn already carries its own <think> block, render prompts
with the template default (enable_thinking=True). Passing enable_thinking=False
prepends a second, empty think block and corrupts the sequence.
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