prompt_messages listlengths 4 4 | gt stringlengths 1 259 | first_reward float64 -1 1 |
|---|---|---|
[
{
"content": "You are a mathematical reasoning assistant. For each problem, follow these steps strictly:\n\n1. Solve the problem using step-by-step reasoning.\n2. Explicitly label each step using the format \"### Step 1\", \"### Step 2\", etc.\n3. Output the final answer within \\boxed{}.\n\nAlways ensure clari... | 0.55 | 1 |
[
{
"content": "You are a mathematical reasoning assistant. For each problem, follow these steps strictly:\n\n1. Solve the problem using step-by-step reasoning.\n2. Explicitly label each step using the format \"### Step 1\", \"### Step 2\", etc.\n3. Output the final answer within \\boxed{}.\n\nAlways ensure clari... | 0.55 | 1 |
[
{
"content": "You are a mathematical reasoning assistant. For each problem, follow these steps strictly:\n\n1. Solve the problem using step-by-step reasoning.\n2. Explicitly label each step using the format \"### Step 1\", \"### Step 2\", etc.\n3. Output the final answer within \\boxed{}.\n\nAlways ensure clari... | \frac{5}{2} | 1 |
[
{
"content": "You are a mathematical reasoning assistant. For each problem, follow these steps strictly:\n\n1. Solve the problem using step-by-step reasoning.\n2. Explicitly label each step using the format \"### Step 1\", \"### Step 2\", etc.\n3. Output the final answer within \\boxed{}.\n\nAlways ensure clari... | \frac{5}{2} | 1 |
[
{
"content": "You are a mathematical reasoning assistant. For each problem, follow these steps strictly:\n\n1. Solve the problem using step-by-step reasoning.\n2. Explicitly label each step using the format \"### Step 1\", \"### Step 2\", etc.\n3. Output the final answer within \\boxed{}.\n\nAlways ensure clari... | \frac{63}{64} | -0.5 |
[
{
"content": "You are a mathematical reasoning assistant. For each problem, follow these steps strictly:\n\n1. Solve the problem using step-by-step reasoning.\n2. Explicitly label each step using the format \"### Step 1\", \"### Step 2\", etc.\n3. Output the final answer within \\boxed{}.\n\nAlways ensure clari... | \frac{63}{64} | -0.5 |
[
{
"content": "You are a mathematical reasoning assistant. For each problem, follow these steps strictly:\n\n1. Solve the problem using step-by-step reasoning.\n2. Explicitly label each step using the format \"### Step 1\", \"### Step 2\", etc.\n3. Output the final answer within \\boxed{}.\n\nAlways ensure clari... | \frac{63}{64} | -0.5 |
[
{
"content": "You are a mathematical reasoning assistant. For each problem, follow these steps strictly:\n\n1. Solve the problem using step-by-step reasoning.\n2. Explicitly label each step using the format \"### Step 1\", \"### Step 2\", etc.\n3. Output the final answer within \\boxed{}.\n\nAlways ensure clari... | \frac{63}{64} | -0.5 |
[
{
"content": "You are a mathematical reasoning assistant. For each problem, follow these steps strictly:\n\n1. Solve the problem using step-by-step reasoning.\n2. Explicitly label each step using the format \"### Step 1\", \"### Step 2\", etc.\n3. Output the final answer within \\boxed{}.\n\nAlways ensure clari... | 2a\left(1+a\right)\left(1-a\right) | -0.5 |
[
{
"content": "You are a mathematical reasoning assistant. For each problem, follow these steps strictly:\n\n1. Solve the problem using step-by-step reasoning.\n2. Explicitly label each step using the format \"### Step 1\", \"### Step 2\", etc.\n3. Output the final answer within \\boxed{}.\n\nAlways ensure clari... | 2a\left(1+a\right)\left(1-a\right) | -0.5 |
[
{
"content": "You are a mathematical reasoning assistant. For each problem, follow these steps strictly:\n\n1. Solve the problem using step-by-step reasoning.\n2. Explicitly label each step using the format \"### Step 1\", \"### Step 2\", etc.\n3. Output the final answer within \\boxed{}.\n\nAlways ensure clari... | [-2\sqrt{5}, 2\sqrt{5}] | -1 |
[
{
"content": "You are a mathematical reasoning assistant. For each problem, follow these steps strictly:\n\n1. Solve the problem using step-by-step reasoning.\n2. Explicitly label each step using the format \"### Step 1\", \"### Step 2\", etc.\n3. Output the final answer within \\boxed{}.\n\nAlways ensure clari... | [-2\sqrt{5}, 2\sqrt{5}] | -1 |
[
{
"content": "You are a mathematical reasoning assistant. For each problem, follow these steps strictly:\n\n1. Solve the problem using step-by-step reasoning.\n2. Explicitly label each step using the format \"### Step 1\", \"### Step 2\", etc.\n3. Output the final answer within \\boxed{}.\n\nAlways ensure clari... | 27 \text{ min} | 1 |
[
{
"content": "You are a mathematical reasoning assistant. For each problem, follow these steps strictly:\n\n1. Solve the problem using step-by-step reasoning.\n2. Explicitly label each step using the format \"### Step 1\", \"### Step 2\", etc.\n3. Output the final answer within \\boxed{}.\n\nAlways ensure clari... | 27 \text{ min} | 1 |
[
{
"content": "You are a mathematical reasoning assistant. For each problem, follow these steps strictly:\n\n1. Solve the problem using step-by-step reasoning.\n2. Explicitly label each step using the format \"### Step 1\", \"### Step 2\", etc.\n3. Output the final answer within \\boxed{}.\n\nAlways ensure clari... | 27 \text{ min} | 1 |
[
{
"content": "You are a mathematical reasoning assistant. For each problem, follow these steps strictly:\n\n1. Solve the problem using step-by-step reasoning.\n2. Explicitly label each step using the format \"### Step 1\", \"### Step 2\", etc.\n3. Output the final answer within \\boxed{}.\n\nAlways ensure clari... | 27 \text{ min} | 1 |
[
{
"content": "You are a mathematical reasoning assistant. For each problem, follow these steps strictly:\n\n1. Solve the problem using step-by-step reasoning.\n2. Explicitly label each step using the format \"### Step 1\", \"### Step 2\", etc.\n3. Output the final answer within \\boxed{}.\n\nAlways ensure clari... | 12 | 1 |
[
{
"content": "You are a mathematical reasoning assistant. For each problem, follow these steps strictly:\n\n1. Solve the problem using step-by-step reasoning.\n2. Explicitly label each step using the format \"### Step 1\", \"### Step 2\", etc.\n3. Output the final answer within \\boxed{}.\n\nAlways ensure clari... | 12 | 1 |
[
{
"content": "You are a mathematical reasoning assistant. For each problem, follow these steps strictly:\n\n1. Solve the problem using step-by-step reasoning.\n2. Explicitly label each step using the format \"### Step 1\", \"### Step 2\", etc.\n3. Output the final answer within \\boxed{}.\n\nAlways ensure clari... | 12 | 1 |
[
{
"content": "You are a mathematical reasoning assistant. For each problem, follow these steps strictly:\n\n1. Solve the problem using step-by-step reasoning.\n2. Explicitly label each step using the format \"### Step 1\", \"### Step 2\", etc.\n3. Output the final answer within \\boxed{}.\n\nAlways ensure clari... | 60^\circ | -0.5 |
[
{
"content": "You are a mathematical reasoning assistant. For each problem, follow these steps strictly:\n\n1. Solve the problem using step-by-step reasoning.\n2. Explicitly label each step using the format \"### Step 1\", \"### Step 2\", etc.\n3. Output the final answer within \\boxed{}.\n\nAlways ensure clari... | \{1, 2\} | -0.5 |
[
{
"content": "You are a mathematical reasoning assistant. For each problem, follow these steps strictly:\n\n1. Solve the problem using step-by-step reasoning.\n2. Explicitly label each step using the format \"### Step 1\", \"### Step 2\", etc.\n3. Output the final answer within \\boxed{}.\n\nAlways ensure clari... | \{1, 2\} | -1 |
[
{
"content": "You are a mathematical reasoning assistant. For each problem, follow these steps strictly:\n\n1. Solve the problem using step-by-step reasoning.\n2. Explicitly label each step using the format \"### Step 1\", \"### Step 2\", etc.\n3. Output the final answer within \\boxed{}.\n\nAlways ensure clari... | m = \frac{1}{4} | -1 |
[
{
"content": "You are a mathematical reasoning assistant. For each problem, follow these steps strictly:\n\n1. Solve the problem using step-by-step reasoning.\n2. Explicitly label each step using the format \"### Step 1\", \"### Step 2\", etc.\n3. Output the final answer within \\boxed{}.\n\nAlways ensure clari... | m = \frac{1}{4} | -1 |
[
{
"content": "You are a mathematical reasoning assistant. For each problem, follow these steps strictly:\n\n1. Solve the problem using step-by-step reasoning.\n2. Explicitly label each step using the format \"### Step 1\", \"### Step 2\", etc.\n3. Output the final answer within \\boxed{}.\n\nAlways ensure clari... | \text{Decreasing: } (-\infty, 0), \text{ Increasing: } (0, +\infty) | -0.5 |
[
{
"content": "You are a mathematical reasoning assistant. For each problem, follow these steps strictly:\n\n1. Solve the problem using step-by-step reasoning.\n2. Explicitly label each step using the format \"### Step 1\", \"### Step 2\", etc.\n3. Output the final answer within \\boxed{}.\n\nAlways ensure clari... | 0 | 1 |
[
{
"content": "You are a mathematical reasoning assistant. For each problem, follow these steps strictly:\n\n1. Solve the problem using step-by-step reasoning.\n2. Explicitly label each step using the format \"### Step 1\", \"### Step 2\", etc.\n3. Output the final answer within \\boxed{}.\n\nAlways ensure clari... | 0 | 1 |
[
{
"content": "You are a mathematical reasoning assistant. For each problem, follow these steps strictly:\n\n1. Solve the problem using step-by-step reasoning.\n2. Explicitly label each step using the format \"### Step 1\", \"### Step 2\", etc.\n3. Output the final answer within \\boxed{}.\n\nAlways ensure clari... | 0 | 1 |
[
{
"content": "You are a mathematical reasoning assistant. For each problem, follow these steps strictly:\n\n1. Solve the problem using step-by-step reasoning.\n2. Explicitly label each step using the format \"### Step 1\", \"### Step 2\", etc.\n3. Output the final answer within \\boxed{}.\n\nAlways ensure clari... | 0.005 | -0.5 |
[
{
"content": "You are a mathematical reasoning assistant. For each problem, follow these steps strictly:\n\n1. Solve the problem using step-by-step reasoning.\n2. Explicitly label each step using the format \"### Step 1\", \"### Step 2\", etc.\n3. Output the final answer within \\boxed{}.\n\nAlways ensure clari... | \frac{2}{1 + s} | -0.5 |
[
{
"content": "You are a mathematical reasoning assistant. For each problem, follow these steps strictly:\n\n1. Solve the problem using step-by-step reasoning.\n2. Explicitly label each step using the format \"### Step 1\", \"### Step 2\", etc.\n3. Output the final answer within \\boxed{}.\n\nAlways ensure clari... | \frac{2}{1 + s} | -0.5 |
[
{
"content": "You are a mathematical reasoning assistant. For each problem, follow these steps strictly:\n\n1. Solve the problem using step-by-step reasoning.\n2. Explicitly label each step using the format \"### Step 1\", \"### Step 2\", etc.\n3. Output the final answer within \\boxed{}.\n\nAlways ensure clari... | \frac{2}{1 + s} | -0.5 |
[
{
"content": "You are a mathematical reasoning assistant. For each problem, follow these steps strictly:\n\n1. Solve the problem using step-by-step reasoning.\n2. Explicitly label each step using the format \"### Step 1\", \"### Step 2\", etc.\n3. Output the final answer within \\boxed{}.\n\nAlways ensure clari... | \frac{2}{1 + s} | -0.5 |
[
{
"content": "You are a mathematical reasoning assistant. For each problem, follow these steps strictly:\n\n1. Solve the problem using step-by-step reasoning.\n2. Explicitly label each step using the format \"### Step 1\", \"### Step 2\", etc.\n3. Output the final answer within \\boxed{}.\n\nAlways ensure clari... | 8 | 1 |
[
{
"content": "You are a mathematical reasoning assistant. For each problem, follow these steps strictly:\n\n1. Solve the problem using step-by-step reasoning.\n2. Explicitly label each step using the format \"### Step 1\", \"### Step 2\", etc.\n3. Output the final answer within \\boxed{}.\n\nAlways ensure clari... | 8 | 1 |
[
{
"content": "You are a mathematical reasoning assistant. For each problem, follow these steps strictly:\n\n1. Solve the problem using step-by-step reasoning.\n2. Explicitly label each step using the format \"### Step 1\", \"### Step 2\", etc.\n3. Output the final answer within \\boxed{}.\n\nAlways ensure clari... | 8 | 1 |
[
{
"content": "You are a mathematical reasoning assistant. For each problem, follow these steps strictly:\n\n1. Solve the problem using step-by-step reasoning.\n2. Explicitly label each step using the format \"### Step 1\", \"### Step 2\", etc.\n3. Output the final answer within \\boxed{}.\n\nAlways ensure clari... | 8 | 1 |
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