prompt listlengths 2 2 | solution stringlengths 1 102 |
|---|---|
[
{
"content": "You are a math assistant. Solve the problem step by step.\n\nOutput format:\n<think>\n...\n</think>\n<answer>\n...\n</answer>\n\nRules:\n- Only put the final numerical or symbolic answer inside <answer>\n- Do NOT include explanations in <answer>\n- Do NOT output anything outside the tags\n",
"... | \ln(2\pi + 1) |
[
{
"content": "You are a math assistant. Solve the problem step by step.\n\nOutput format:\n<think>\n...\n</think>\n<answer>\n...\n</answer>\n\nRules:\n- Only put the final numerical or symbolic answer inside <answer>\n- Do NOT include explanations in <answer>\n- Do NOT output anything outside the tags\n",
"... | 1 |
[
{
"content": "You are a math assistant. Solve the problem step by step.\n\nOutput format:\n<think>\n...\n</think>\n<answer>\n...\n</answer>\n\nRules:\n- Only put the final numerical or symbolic answer inside <answer>\n- Do NOT include explanations in <answer>\n- Do NOT output anything outside the tags\n",
"... | \cosh x \sin y |
[
{
"content": "You are a math assistant. Solve the problem step by step.\n\nOutput format:\n<think>\n...\n</think>\n<answer>\n...\n</answer>\n\nRules:\n- Only put the final numerical or symbolic answer inside <answer>\n- Do NOT include explanations in <answer>\n- Do NOT output anything outside the tags\n",
"... | 9e^4 - 1 |
[
{
"content": "You are a math assistant. Solve the problem step by step.\n\nOutput format:\n<think>\n...\n</think>\n<answer>\n...\n</answer>\n\nRules:\n- Only put the final numerical or symbolic answer inside <answer>\n- Do NOT include explanations in <answer>\n- Do NOT output anything outside the tags\n",
"... | 0 |
[
{
"content": "You are a math assistant. Solve the problem step by step.\n\nOutput format:\n<think>\n...\n</think>\n<answer>\n...\n</answer>\n\nRules:\n- Only put the final numerical or symbolic answer inside <answer>\n- Do NOT include explanations in <answer>\n- Do NOT output anything outside the tags\n",
"... | (0, 0, 0) |
[
{
"content": "You are a math assistant. Solve the problem step by step.\n\nOutput format:\n<think>\n...\n</think>\n<answer>\n...\n</answer>\n\nRules:\n- Only put the final numerical or symbolic answer inside <answer>\n- Do NOT include explanations in <answer>\n- Do NOT output anything outside the tags\n",
"... | \dfrac{1}{2} |
[
{
"content": "You are a math assistant. Solve the problem step by step.\n\nOutput format:\n<think>\n...\n</think>\n<answer>\n...\n</answer>\n\nRules:\n- Only put the final numerical or symbolic answer inside <answer>\n- Do NOT include explanations in <answer>\n- Do NOT output anything outside the tags\n",
"... | 2\pi i |
[
{
"content": "You are a math assistant. Solve the problem step by step.\n\nOutput format:\n<think>\n...\n</think>\n<answer>\n...\n</answer>\n\nRules:\n- Only put the final numerical or symbolic answer inside <answer>\n- Do NOT include explanations in <answer>\n- Do NOT output anything outside the tags\n",
"... | No |
[
{
"content": "You are a math assistant. Solve the problem step by step.\n\nOutput format:\n<think>\n...\n</think>\n<answer>\n...\n</answer>\n\nRules:\n- Only put the final numerical or symbolic answer inside <answer>\n- Do NOT include explanations in <answer>\n- Do NOT output anything outside the tags\n",
"... | \dfrac{\pi}{4} |
[
{
"content": "You are a math assistant. Solve the problem step by step.\n\nOutput format:\n<think>\n...\n</think>\n<answer>\n...\n</answer>\n\nRules:\n- Only put the final numerical or symbolic answer inside <answer>\n- Do NOT include explanations in <answer>\n- Do NOT output anything outside the tags\n",
"... | 1 |
[
{
"content": "You are a math assistant. Solve the problem step by step.\n\nOutput format:\n<think>\n...\n</think>\n<answer>\n...\n</answer>\n\nRules:\n- Only put the final numerical or symbolic answer inside <answer>\n- Do NOT include explanations in <answer>\n- Do NOT output anything outside the tags\n",
"... | No |
[
{
"content": "You are a math assistant. Solve the problem step by step.\n\nOutput format:\n<think>\n...\n</think>\n<answer>\n...\n</answer>\n\nRules:\n- Only put the final numerical or symbolic answer inside <answer>\n- Do NOT include explanations in <answer>\n- Do NOT output anything outside the tags\n",
"... | x^2 |
[
{
"content": "You are a math assistant. Solve the problem step by step.\n\nOutput format:\n<think>\n...\n</think>\n<answer>\n...\n</answer>\n\nRules:\n- Only put the final numerical or symbolic answer inside <answer>\n- Do NOT include explanations in <answer>\n- Do NOT output anything outside the tags\n",
"... | \dfrac{2}{e} |
[
{
"content": "You are a math assistant. Solve the problem step by step.\n\nOutput format:\n<think>\n...\n</think>\n<answer>\n...\n</answer>\n\nRules:\n- Only put the final numerical or symbolic answer inside <answer>\n- Do NOT include explanations in <answer>\n- Do NOT output anything outside the tags\n",
"... | \dfrac{1}{8} |
[
{
"content": "You are a math assistant. Solve the problem step by step.\n\nOutput format:\n<think>\n...\n</think>\n<answer>\n...\n</answer>\n\nRules:\n- Only put the final numerical or symbolic answer inside <answer>\n- Do NOT include explanations in <answer>\n- Do NOT output anything outside the tags\n",
"... | No |
[
{
"content": "You are a math assistant. Solve the problem step by step.\n\nOutput format:\n<think>\n...\n</think>\n<answer>\n...\n</answer>\n\nRules:\n- Only put the final numerical or symbolic answer inside <answer>\n- Do NOT include explanations in <answer>\n- Do NOT output anything outside the tags\n",
"... | 15 |
[
{
"content": "You are a math assistant. Solve the problem step by step.\n\nOutput format:\n<think>\n...\n</think>\n<answer>\n...\n</answer>\n\nRules:\n- Only put the final numerical or symbolic answer inside <answer>\n- Do NOT include explanations in <answer>\n- Do NOT output anything outside the tags\n",
"... | \dfrac{1}{n} |
[
{
"content": "You are a math assistant. Solve the problem step by step.\n\nOutput format:\n<think>\n...\n</think>\n<answer>\n...\n</answer>\n\nRules:\n- Only put the final numerical or symbolic answer inside <answer>\n- Do NOT include explanations in <answer>\n- Do NOT output anything outside the tags\n",
"... | 0 |
[
{
"content": "You are a math assistant. Solve the problem step by step.\n\nOutput format:\n<think>\n...\n</think>\n<answer>\n...\n</answer>\n\nRules:\n- Only put the final numerical or symbolic answer inside <answer>\n- Do NOT include explanations in <answer>\n- Do NOT output anything outside the tags\n",
"... | 1 |
[
{
"content": "You are a math assistant. Solve the problem step by step.\n\nOutput format:\n<think>\n...\n</think>\n<answer>\n...\n</answer>\n\nRules:\n- Only put the final numerical or symbolic answer inside <answer>\n- Do NOT include explanations in <answer>\n- Do NOT output anything outside the tags\n",
"... | A |
[
{
"content": "You are a math assistant. Solve the problem step by step.\n\nOutput format:\n<think>\n...\n</think>\n<answer>\n...\n</answer>\n\nRules:\n- Only put the final numerical or symbolic answer inside <answer>\n- Do NOT include explanations in <answer>\n- Do NOT output anything outside the tags\n",
"... | Yes |
[
{
"content": "You are a math assistant. Solve the problem step by step.\n\nOutput format:\n<think>\n...\n</think>\n<answer>\n...\n</answer>\n\nRules:\n- Only put the final numerical or symbolic answer inside <answer>\n- Do NOT include explanations in <answer>\n- Do NOT output anything outside the tags\n",
"... | 2^{80} |
[
{
"content": "You are a math assistant. Solve the problem step by step.\n\nOutput format:\n<think>\n...\n</think>\n<answer>\n...\n</answer>\n\nRules:\n- Only put the final numerical or symbolic answer inside <answer>\n- Do NOT include explanations in <answer>\n- Do NOT output anything outside the tags\n",
"... | e^2 |
[
{
"content": "You are a math assistant. Solve the problem step by step.\n\nOutput format:\n<think>\n...\n</think>\n<answer>\n...\n</answer>\n\nRules:\n- Only put the final numerical or symbolic answer inside <answer>\n- Do NOT include explanations in <answer>\n- Do NOT output anything outside the tags\n",
"... | e^{-1/2} |
[
{
"content": "You are a math assistant. Solve the problem step by step.\n\nOutput format:\n<think>\n...\n</think>\n<answer>\n...\n</answer>\n\nRules:\n- Only put the final numerical or symbolic answer inside <answer>\n- Do NOT include explanations in <answer>\n- Do NOT output anything outside the tags\n",
"... | -\dfrac{1}{n-1} |
[
{
"content": "You are a math assistant. Solve the problem step by step.\n\nOutput format:\n<think>\n...\n</think>\n<answer>\n...\n</answer>\n\nRules:\n- Only put the final numerical or symbolic answer inside <answer>\n- Do NOT include explanations in <answer>\n- Do NOT output anything outside the tags\n",
"... | \dfrac{1}{2} |
[
{
"content": "You are a math assistant. Solve the problem step by step.\n\nOutput format:\n<think>\n...\n</think>\n<answer>\n...\n</answer>\n\nRules:\n- Only put the final numerical or symbolic answer inside <answer>\n- Do NOT include explanations in <answer>\n- Do NOT output anything outside the tags\n",
"... | 0 |
[
{
"content": "You are a math assistant. Solve the problem step by step.\n\nOutput format:\n<think>\n...\n</think>\n<answer>\n...\n</answer>\n\nRules:\n- Only put the final numerical or symbolic answer inside <answer>\n- Do NOT include explanations in <answer>\n- Do NOT output anything outside the tags\n",
"... | (0, 0) |
[
{
"content": "You are a math assistant. Solve the problem step by step.\n\nOutput format:\n<think>\n...\n</think>\n<answer>\n...\n</answer>\n\nRules:\n- Only put the final numerical or symbolic answer inside <answer>\n- Do NOT include explanations in <answer>\n- Do NOT output anything outside the tags\n",
"... | e^{-\lambda/2} |
[
{
"content": "You are a math assistant. Solve the problem step by step.\n\nOutput format:\n<think>\n...\n</think>\n<answer>\n...\n</answer>\n\nRules:\n- Only put the final numerical or symbolic answer inside <answer>\n- Do NOT include explanations in <answer>\n- Do NOT output anything outside the tags\n",
"... | Yes |
[
{
"content": "You are a math assistant. Solve the problem step by step.\n\nOutput format:\n<think>\n...\n</think>\n<answer>\n...\n</answer>\n\nRules:\n- Only put the final numerical or symbolic answer inside <answer>\n- Do NOT include explanations in <answer>\n- Do NOT output anything outside the tags\n",
"... | -2\pi |
[
{
"content": "You are a math assistant. Solve the problem step by step.\n\nOutput format:\n<think>\n...\n</think>\n<answer>\n...\n</answer>\n\nRules:\n- Only put the final numerical or symbolic answer inside <answer>\n- Do NOT include explanations in <answer>\n- Do NOT output anything outside the tags\n",
"... | 2\pi I_0(x + y) |
[
{
"content": "You are a math assistant. Solve the problem step by step.\n\nOutput format:\n<think>\n...\n</think>\n<answer>\n...\n</answer>\n\nRules:\n- Only put the final numerical or symbolic answer inside <answer>\n- Do NOT include explanations in <answer>\n- Do NOT output anything outside the tags\n",
"... | 2 |
[
{
"content": "You are a math assistant. Solve the problem step by step.\n\nOutput format:\n<think>\n...\n</think>\n<answer>\n...\n</answer>\n\nRules:\n- Only put the final numerical or symbolic answer inside <answer>\n- Do NOT include explanations in <answer>\n- Do NOT output anything outside the tags\n",
"... | n - 1 - \dim X |
[
{
"content": "You are a math assistant. Solve the problem step by step.\n\nOutput format:\n<think>\n...\n</think>\n<answer>\n...\n</answer>\n\nRules:\n- Only put the final numerical or symbolic answer inside <answer>\n- Do NOT include explanations in <answer>\n- Do NOT output anything outside the tags\n",
"... | B |
[
{
"content": "You are a math assistant. Solve the problem step by step.\n\nOutput format:\n<think>\n...\n</think>\n<answer>\n...\n</answer>\n\nRules:\n- Only put the final numerical or symbolic answer inside <answer>\n- Do NOT include explanations in <answer>\n- Do NOT output anything outside the tags\n",
"... | True |
[
{
"content": "You are a math assistant. Solve the problem step by step.\n\nOutput format:\n<think>\n...\n</think>\n<answer>\n...\n</answer>\n\nRules:\n- Only put the final numerical or symbolic answer inside <answer>\n- Do NOT include explanations in <answer>\n- Do NOT output anything outside the tags\n",
"... | -\pi i |
[
{
"content": "You are a math assistant. Solve the problem step by step.\n\nOutput format:\n<think>\n...\n</think>\n<answer>\n...\n</answer>\n\nRules:\n- Only put the final numerical or symbolic answer inside <answer>\n- Do NOT include explanations in <answer>\n- Do NOT output anything outside the tags\n",
"... | p > 1 |
[
{
"content": "You are a math assistant. Solve the problem step by step.\n\nOutput format:\n<think>\n...\n</think>\n<answer>\n...\n</answer>\n\nRules:\n- Only put the final numerical or symbolic answer inside <answer>\n- Do NOT include explanations in <answer>\n- Do NOT output anything outside the tags\n",
"... | m > n + 1 |
[
{
"content": "You are a math assistant. Solve the problem step by step.\n\nOutput format:\n<think>\n...\n</think>\n<answer>\n...\n</answer>\n\nRules:\n- Only put the final numerical or symbolic answer inside <answer>\n- Do NOT include explanations in <answer>\n- Do NOT output anything outside the tags\n",
"... | n - k - 1 |
[
{
"content": "You are a math assistant. Solve the problem step by step.\n\nOutput format:\n<think>\n...\n</think>\n<answer>\n...\n</answer>\n\nRules:\n- Only put the final numerical or symbolic answer inside <answer>\n- Do NOT include explanations in <answer>\n- Do NOT output anything outside the tags\n",
"... | \dfrac{c}{2} |
[
{
"content": "You are a math assistant. Solve the problem step by step.\n\nOutput format:\n<think>\n...\n</think>\n<answer>\n...\n</answer>\n\nRules:\n- Only put the final numerical or symbolic answer inside <answer>\n- Do NOT include explanations in <answer>\n- Do NOT output anything outside the tags\n",
"... | \dfrac{3}{7} |
[
{
"content": "You are a math assistant. Solve the problem step by step.\n\nOutput format:\n<think>\n...\n</think>\n<answer>\n...\n</answer>\n\nRules:\n- Only put the final numerical or symbolic answer inside <answer>\n- Do NOT include explanations in <answer>\n- Do NOT output anything outside the tags\n",
"... | A |
[
{
"content": "You are a math assistant. Solve the problem step by step.\n\nOutput format:\n<think>\n...\n</think>\n<answer>\n...\n</answer>\n\nRules:\n- Only put the final numerical or symbolic answer inside <answer>\n- Do NOT include explanations in <answer>\n- Do NOT output anything outside the tags\n",
"... | 5 |
[
{
"content": "You are a math assistant. Solve the problem step by step.\n\nOutput format:\n<think>\n...\n</think>\n<answer>\n...\n</answer>\n\nRules:\n- Only put the final numerical or symbolic answer inside <answer>\n- Do NOT include explanations in <answer>\n- Do NOT output anything outside the tags\n",
"... | \dfrac{1}{2} |
[
{
"content": "You are a math assistant. Solve the problem step by step.\n\nOutput format:\n<think>\n...\n</think>\n<answer>\n...\n</answer>\n\nRules:\n- Only put the final numerical or symbolic answer inside <answer>\n- Do NOT include explanations in <answer>\n- Do NOT output anything outside the tags\n",
"... | \|X - Y\|^2 \leq r^2 |
[
{
"content": "You are a math assistant. Solve the problem step by step.\n\nOutput format:\n<think>\n...\n</think>\n<answer>\n...\n</answer>\n\nRules:\n- Only put the final numerical or symbolic answer inside <answer>\n- Do NOT include explanations in <answer>\n- Do NOT output anything outside the tags\n",
"... | 2 |
[
{
"content": "You are a math assistant. Solve the problem step by step.\n\nOutput format:\n<think>\n...\n</think>\n<answer>\n...\n</answer>\n\nRules:\n- Only put the final numerical or symbolic answer inside <answer>\n- Do NOT include explanations in <answer>\n- Do NOT output anything outside the tags\n",
"... | \Phi^{-1}(x) |
[
{
"content": "You are a math assistant. Solve the problem step by step.\n\nOutput format:\n<think>\n...\n</think>\n<answer>\n...\n</answer>\n\nRules:\n- Only put the final numerical or symbolic answer inside <answer>\n- Do NOT include explanations in <answer>\n- Do NOT output anything outside the tags\n",
"... | e^{f(z)} |
[
{
"content": "You are a math assistant. Solve the problem step by step.\n\nOutput format:\n<think>\n...\n</think>\n<answer>\n...\n</answer>\n\nRules:\n- Only put the final numerical or symbolic answer inside <answer>\n- Do NOT include explanations in <answer>\n- Do NOT output anything outside the tags\n",
"... | 7 |
[
{
"content": "You are a math assistant. Solve the problem step by step.\n\nOutput format:\n<think>\n...\n</think>\n<answer>\n...\n</answer>\n\nRules:\n- Only put the final numerical or symbolic answer inside <answer>\n- Do NOT include explanations in <answer>\n- Do NOT output anything outside the tags\n",
"... | 0 |
[
{
"content": "You are a math assistant. Solve the problem step by step.\n\nOutput format:\n<think>\n...\n</think>\n<answer>\n...\n</answer>\n\nRules:\n- Only put the final numerical or symbolic answer inside <answer>\n- Do NOT include explanations in <answer>\n- Do NOT output anything outside the tags\n",
"... | 2 |
[
{
"content": "You are a math assistant. Solve the problem step by step.\n\nOutput format:\n<think>\n...\n</think>\n<answer>\n...\n</answer>\n\nRules:\n- Only put the final numerical or symbolic answer inside <answer>\n- Do NOT include explanations in <answer>\n- Do NOT output anything outside the tags\n",
"... | \dfrac{2\pi i}{e} |
[
{
"content": "You are a math assistant. Solve the problem step by step.\n\nOutput format:\n<think>\n...\n</think>\n<answer>\n...\n</answer>\n\nRules:\n- Only put the final numerical or symbolic answer inside <answer>\n- Do NOT include explanations in <answer>\n- Do NOT output anything outside the tags\n",
"... | \dfrac{1}{2} |
[
{
"content": "You are a math assistant. Solve the problem step by step.\n\nOutput format:\n<think>\n...\n</think>\n<answer>\n...\n</answer>\n\nRules:\n- Only put the final numerical or symbolic answer inside <answer>\n- Do NOT include explanations in <answer>\n- Do NOT output anything outside the tags\n",
"... | n |
[
{
"content": "You are a math assistant. Solve the problem step by step.\n\nOutput format:\n<think>\n...\n</think>\n<answer>\n...\n</answer>\n\nRules:\n- Only put the final numerical or symbolic answer inside <answer>\n- Do NOT include explanations in <answer>\n- Do NOT output anything outside the tags\n",
"... | Yes |
[
{
"content": "You are a math assistant. Solve the problem step by step.\n\nOutput format:\n<think>\n...\n</think>\n<answer>\n...\n</answer>\n\nRules:\n- Only put the final numerical or symbolic answer inside <answer>\n- Do NOT include explanations in <answer>\n- Do NOT output anything outside the tags\n",
"... | 4 |
[
{
"content": "You are a math assistant. Solve the problem step by step.\n\nOutput format:\n<think>\n...\n</think>\n<answer>\n...\n</answer>\n\nRules:\n- Only put the final numerical or symbolic answer inside <answer>\n- Do NOT include explanations in <answer>\n- Do NOT output anything outside the tags\n",
"... | \dfrac{\pi}{2} |
[
{
"content": "You are a math assistant. Solve the problem step by step.\n\nOutput format:\n<think>\n...\n</think>\n<answer>\n...\n</answer>\n\nRules:\n- Only put the final numerical or symbolic answer inside <answer>\n- Do NOT include explanations in <answer>\n- Do NOT output anything outside the tags\n",
"... | \dfrac{1}{5} |
[
{
"content": "You are a math assistant. Solve the problem step by step.\n\nOutput format:\n<think>\n...\n</think>\n<answer>\n...\n</answer>\n\nRules:\n- Only put the final numerical or symbolic answer inside <answer>\n- Do NOT include explanations in <answer>\n- Do NOT output anything outside the tags\n",
"... | [-1, 1] |
[
{
"content": "You are a math assistant. Solve the problem step by step.\n\nOutput format:\n<think>\n...\n</think>\n<answer>\n...\n</answer>\n\nRules:\n- Only put the final numerical or symbolic answer inside <answer>\n- Do NOT include explanations in <answer>\n- Do NOT output anything outside the tags\n",
"... | \dfrac{2\pi}{5} |
[
{
"content": "You are a math assistant. Solve the problem step by step.\n\nOutput format:\n<think>\n...\n</think>\n<answer>\n...\n</answer>\n\nRules:\n- Only put the final numerical or symbolic answer inside <answer>\n- Do NOT include explanations in <answer>\n- Do NOT output anything outside the tags\n",
"... | Yes |
[
{
"content": "You are a math assistant. Solve the problem step by step.\n\nOutput format:\n<think>\n...\n</think>\n<answer>\n...\n</answer>\n\nRules:\n- Only put the final numerical or symbolic answer inside <answer>\n- Do NOT include explanations in <answer>\n- Do NOT output anything outside the tags\n",
"... | No |
[
{
"content": "You are a math assistant. Solve the problem step by step.\n\nOutput format:\n<think>\n...\n</think>\n<answer>\n...\n</answer>\n\nRules:\n- Only put the final numerical or symbolic answer inside <answer>\n- Do NOT include explanations in <answer>\n- Do NOT output anything outside the tags\n",
"... | Yes |
[
{
"content": "You are a math assistant. Solve the problem step by step.\n\nOutput format:\n<think>\n...\n</think>\n<answer>\n...\n</answer>\n\nRules:\n- Only put the final numerical or symbolic answer inside <answer>\n- Do NOT include explanations in <answer>\n- Do NOT output anything outside the tags\n",
"... | 14 |
[
{
"content": "You are a math assistant. Solve the problem step by step.\n\nOutput format:\n<think>\n...\n</think>\n<answer>\n...\n</answer>\n\nRules:\n- Only put the final numerical or symbolic answer inside <answer>\n- Do NOT include explanations in <answer>\n- Do NOT output anything outside the tags\n",
"... | \Lambda(t) = kt |
[
{
"content": "You are a math assistant. Solve the problem step by step.\n\nOutput format:\n<think>\n...\n</think>\n<answer>\n...\n</answer>\n\nRules:\n- Only put the final numerical or symbolic answer inside <answer>\n- Do NOT include explanations in <answer>\n- Do NOT output anything outside the tags\n",
"... | (2^n - 1)^m |
[
{
"content": "You are a math assistant. Solve the problem step by step.\n\nOutput format:\n<think>\n...\n</think>\n<answer>\n...\n</answer>\n\nRules:\n- Only put the final numerical or symbolic answer inside <answer>\n- Do NOT include explanations in <answer>\n- Do NOT output anything outside the tags\n",
"... | 0 |
[
{
"content": "You are a math assistant. Solve the problem step by step.\n\nOutput format:\n<think>\n...\n</think>\n<answer>\n...\n</answer>\n\nRules:\n- Only put the final numerical or symbolic answer inside <answer>\n- Do NOT include explanations in <answer>\n- Do NOT output anything outside the tags\n",
"... | C |
[
{
"content": "You are a math assistant. Solve the problem step by step.\n\nOutput format:\n<think>\n...\n</think>\n<answer>\n...\n</answer>\n\nRules:\n- Only put the final numerical or symbolic answer inside <answer>\n- Do NOT include explanations in <answer>\n- Do NOT output anything outside the tags\n",
"... | Yes |
[
{
"content": "You are a math assistant. Solve the problem step by step.\n\nOutput format:\n<think>\n...\n</think>\n<answer>\n...\n</answer>\n\nRules:\n- Only put the final numerical or symbolic answer inside <answer>\n- Do NOT include explanations in <answer>\n- Do NOT output anything outside the tags\n",
"... | 2NQ^2 |
[
{
"content": "You are a math assistant. Solve the problem step by step.\n\nOutput format:\n<think>\n...\n</think>\n<answer>\n...\n</answer>\n\nRules:\n- Only put the final numerical or symbolic answer inside <answer>\n- Do NOT include explanations in <answer>\n- Do NOT output anything outside the tags\n",
"... | u(x) = u(-x) |
[
{
"content": "You are a math assistant. Solve the problem step by step.\n\nOutput format:\n<think>\n...\n</think>\n<answer>\n...\n</answer>\n\nRules:\n- Only put the final numerical or symbolic answer inside <answer>\n- Do NOT include explanations in <answer>\n- Do NOT output anything outside the tags\n",
"... | \dfrac{7}{6} |
[
{
"content": "You are a math assistant. Solve the problem step by step.\n\nOutput format:\n<think>\n...\n</think>\n<answer>\n...\n</answer>\n\nRules:\n- Only put the final numerical or symbolic answer inside <answer>\n- Do NOT include explanations in <answer>\n- Do NOT output anything outside the tags\n",
"... | \{1, u, u^2\} |
[
{
"content": "You are a math assistant. Solve the problem step by step.\n\nOutput format:\n<think>\n...\n</think>\n<answer>\n...\n</answer>\n\nRules:\n- Only put the final numerical or symbolic answer inside <answer>\n- Do NOT include explanations in <answer>\n- Do NOT output anything outside the tags\n",
"... | \mathbb{R} |
[
{
"content": "You are a math assistant. Solve the problem step by step.\n\nOutput format:\n<think>\n...\n</think>\n<answer>\n...\n</answer>\n\nRules:\n- Only put the final numerical or symbolic answer inside <answer>\n- Do NOT include explanations in <answer>\n- Do NOT output anything outside the tags\n",
"... | 1 |
[
{
"content": "You are a math assistant. Solve the problem step by step.\n\nOutput format:\n<think>\n...\n</think>\n<answer>\n...\n</answer>\n\nRules:\n- Only put the final numerical or symbolic answer inside <answer>\n- Do NOT include explanations in <answer>\n- Do NOT output anything outside the tags\n",
"... | 0 |
[
{
"content": "You are a math assistant. Solve the problem step by step.\n\nOutput format:\n<think>\n...\n</think>\n<answer>\n...\n</answer>\n\nRules:\n- Only put the final numerical or symbolic answer inside <answer>\n- Do NOT include explanations in <answer>\n- Do NOT output anything outside the tags\n",
"... | \mathbb{Z} |
[
{
"content": "You are a math assistant. Solve the problem step by step.\n\nOutput format:\n<think>\n...\n</think>\n<answer>\n...\n</answer>\n\nRules:\n- Only put the final numerical or symbolic answer inside <answer>\n- Do NOT include explanations in <answer>\n- Do NOT output anything outside the tags\n",
"... | Yes |
[
{
"content": "You are a math assistant. Solve the problem step by step.\n\nOutput format:\n<think>\n...\n</think>\n<answer>\n...\n</answer>\n\nRules:\n- Only put the final numerical or symbolic answer inside <answer>\n- Do NOT include explanations in <answer>\n- Do NOT output anything outside the tags\n",
"... | \infty |
[
{
"content": "You are a math assistant. Solve the problem step by step.\n\nOutput format:\n<think>\n...\n</think>\n<answer>\n...\n</answer>\n\nRules:\n- Only put the final numerical or symbolic answer inside <answer>\n- Do NOT include explanations in <answer>\n- Do NOT output anything outside the tags\n",
"... | C[0,1] |
[
{
"content": "You are a math assistant. Solve the problem step by step.\n\nOutput format:\n<think>\n...\n</think>\n<answer>\n...\n</answer>\n\nRules:\n- Only put the final numerical or symbolic answer inside <answer>\n- Do NOT include explanations in <answer>\n- Do NOT output anything outside the tags\n",
"... | 4 |
[
{
"content": "You are a math assistant. Solve the problem step by step.\n\nOutput format:\n<think>\n...\n</think>\n<answer>\n...\n</answer>\n\nRules:\n- Only put the final numerical or symbolic answer inside <answer>\n- Do NOT include explanations in <answer>\n- Do NOT output anything outside the tags\n",
"... | C^\top \otimes A |
[
{
"content": "You are a math assistant. Solve the problem step by step.\n\nOutput format:\n<think>\n...\n</think>\n<answer>\n...\n</answer>\n\nRules:\n- Only put the final numerical or symbolic answer inside <answer>\n- Do NOT include explanations in <answer>\n- Do NOT output anything outside the tags\n",
"... | 0 |
[
{
"content": "You are a math assistant. Solve the problem step by step.\n\nOutput format:\n<think>\n...\n</think>\n<answer>\n...\n</answer>\n\nRules:\n- Only put the final numerical or symbolic answer inside <answer>\n- Do NOT include explanations in <answer>\n- Do NOT output anything outside the tags\n",
"... | O |
[
{
"content": "You are a math assistant. Solve the problem step by step.\n\nOutput format:\n<think>\n...\n</think>\n<answer>\n...\n</answer>\n\nRules:\n- Only put the final numerical or symbolic answer inside <answer>\n- Do NOT include explanations in <answer>\n- Do NOT output anything outside the tags\n",
"... | \dfrac{1}{2} |
[
{
"content": "You are a math assistant. Solve the problem step by step.\n\nOutput format:\n<think>\n...\n</think>\n<answer>\n...\n</answer>\n\nRules:\n- Only put the final numerical or symbolic answer inside <answer>\n- Do NOT include explanations in <answer>\n- Do NOT output anything outside the tags\n",
"... | \dfrac{2}{\pi} |
[
{
"content": "You are a math assistant. Solve the problem step by step.\n\nOutput format:\n<think>\n...\n</think>\n<answer>\n...\n</answer>\n\nRules:\n- Only put the final numerical or symbolic answer inside <answer>\n- Do NOT include explanations in <answer>\n- Do NOT output anything outside the tags\n",
"... | \emptyset |
[
{
"content": "You are a math assistant. Solve the problem step by step.\n\nOutput format:\n<think>\n...\n</think>\n<answer>\n...\n</answer>\n\nRules:\n- Only put the final numerical or symbolic answer inside <answer>\n- Do NOT include explanations in <answer>\n- Do NOT output anything outside the tags\n",
"... | 1 |
[
{
"content": "You are a math assistant. Solve the problem step by step.\n\nOutput format:\n<think>\n...\n</think>\n<answer>\n...\n</answer>\n\nRules:\n- Only put the final numerical or symbolic answer inside <answer>\n- Do NOT include explanations in <answer>\n- Do NOT output anything outside the tags\n",
"... | Yes |
[
{
"content": "You are a math assistant. Solve the problem step by step.\n\nOutput format:\n<think>\n...\n</think>\n<answer>\n...\n</answer>\n\nRules:\n- Only put the final numerical or symbolic answer inside <answer>\n- Do NOT include explanations in <answer>\n- Do NOT output anything outside the tags\n",
"... | 3 |
[
{
"content": "You are a math assistant. Solve the problem step by step.\n\nOutput format:\n<think>\n...\n</think>\n<answer>\n...\n</answer>\n\nRules:\n- Only put the final numerical or symbolic answer inside <answer>\n- Do NOT include explanations in <answer>\n- Do NOT output anything outside the tags\n",
"... | 1 |
[
{
"content": "You are a math assistant. Solve the problem step by step.\n\nOutput format:\n<think>\n...\n</think>\n<answer>\n...\n</answer>\n\nRules:\n- Only put the final numerical or symbolic answer inside <answer>\n- Do NOT include explanations in <answer>\n- Do NOT output anything outside the tags\n",
"... | \infty |
[
{
"content": "You are a math assistant. Solve the problem step by step.\n\nOutput format:\n<think>\n...\n</think>\n<answer>\n...\n</answer>\n\nRules:\n- Only put the final numerical or symbolic answer inside <answer>\n- Do NOT include explanations in <answer>\n- Do NOT output anything outside the tags\n",
"... | Yes |
[
{
"content": "You are a math assistant. Solve the problem step by step.\n\nOutput format:\n<think>\n...\n</think>\n<answer>\n...\n</answer>\n\nRules:\n- Only put the final numerical or symbolic answer inside <answer>\n- Do NOT include explanations in <answer>\n- Do NOT output anything outside the tags\n",
"... | 77 |
[
{
"content": "You are a math assistant. Solve the problem step by step.\n\nOutput format:\n<think>\n...\n</think>\n<answer>\n...\n</answer>\n\nRules:\n- Only put the final numerical or symbolic answer inside <answer>\n- Do NOT include explanations in <answer>\n- Do NOT output anything outside the tags\n",
"... | 2 |
[
{
"content": "You are a math assistant. Solve the problem step by step.\n\nOutput format:\n<think>\n...\n</think>\n<answer>\n...\n</answer>\n\nRules:\n- Only put the final numerical or symbolic answer inside <answer>\n- Do NOT include explanations in <answer>\n- Do NOT output anything outside the tags\n",
"... | 0 |
[
{
"content": "You are a math assistant. Solve the problem step by step.\n\nOutput format:\n<think>\n...\n</think>\n<answer>\n...\n</answer>\n\nRules:\n- Only put the final numerical or symbolic answer inside <answer>\n- Do NOT include explanations in <answer>\n- Do NOT output anything outside the tags\n",
"... | \dfrac{1}{2} |
[
{
"content": "You are a math assistant. Solve the problem step by step.\n\nOutput format:\n<think>\n...\n</think>\n<answer>\n...\n</answer>\n\nRules:\n- Only put the final numerical or symbolic answer inside <answer>\n- Do NOT include explanations in <answer>\n- Do NOT output anything outside the tags\n",
"... | B |
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