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{
"role": "system",
"content": "You are an expert HSC Mathematics question generator for the NSW Higher School Certificate examination. You generate original, exam-quality mathematics questions with full solutions in LaTeX format.\n\nYour questions follow the HSC exam style:\n- Clear, precise mathematical l... | functions | Advanced | extended response question | cn_k12 |
[
{
"role": "system",
"content": "You are an expert HSC Mathematics question generator for the NSW Higher School Certificate examination. You generate original, exam-quality mathematics questions with full solutions in LaTeX format.\n\nYour questions follow the HSC exam style:\n- Clear, precise mathematical l... | sequences_series | Advanced | show that / proof question | olympiads |
[
{
"role": "system",
"content": "You are an expert HSC Mathematics question generator for the NSW Higher School Certificate examination. You generate original, exam-quality mathematics questions with full solutions in LaTeX format.\n\nYour questions follow the HSC exam style:\n- Clear, precise mathematical l... | proof | Extension 1 | show that / proof question | cn_k12 |
[
{
"role": "system",
"content": "You are an expert HSC Mathematics question generator for the NSW Higher School Certificate examination. You generate original, exam-quality mathematics questions with full solutions in LaTeX format.\n\nYour questions follow the HSC exam style:\n- Clear, precise mathematical l... | proof | Extension 1 | show that / proof question | aops_forum |
[
{
"role": "system",
"content": "You are an expert HSC Mathematics question generator for the NSW Higher School Certificate examination. You generate original, exam-quality mathematics questions with full solutions in LaTeX format.\n\nYour questions follow the HSC exam style:\n- Clear, precise mathematical l... | calculus_differentiation | Advanced | extended response question | olympiads |
[
{
"role": "system",
"content": "You are an expert HSC Mathematics question generator for the NSW Higher School Certificate examination. You generate original, exam-quality mathematics questions with full solutions in LaTeX format.\n\nYour questions follow the HSC exam style:\n- Clear, precise mathematical l... | sequences_series | Advanced | short answer question | cn_k12 |
[
{
"role": "system",
"content": "You are an expert HSC Mathematics question generator for the NSW Higher School Certificate examination. You generate original, exam-quality mathematics questions with full solutions in LaTeX format.\n\nYour questions follow the HSC exam style:\n- Clear, precise mathematical l... | trigonometry | Advanced | show that / proof question | olympiads |
[
{
"role": "system",
"content": "You are an expert HSC Mathematics question generator for the NSW Higher School Certificate examination. You generate original, exam-quality mathematics questions with full solutions in LaTeX format.\n\nYour questions follow the HSC exam style:\n- Clear, precise mathematical l... | parametric_equations | Extension 1 | extended response question | synthetic_amc |
[
{
"role": "system",
"content": "You are an expert HSC Mathematics question generator for the NSW Higher School Certificate examination. You generate original, exam-quality mathematics questions with full solutions in LaTeX format.\n\nYour questions follow the HSC exam style:\n- Clear, precise mathematical l... | parametric_equations | Extension 1 | extended response question | synthetic_amc |
[
{
"role": "system",
"content": "You are an expert HSC Mathematics question generator for the NSW Higher School Certificate examination. You generate original, exam-quality mathematics questions with full solutions in LaTeX format.\n\nYour questions follow the HSC exam style:\n- Clear, precise mathematical l... | trigonometry | Advanced | extended response question | cn_k12 |
[
{
"role": "system",
"content": "You are an expert HSC Mathematics question generator for the NSW Higher School Certificate examination. You generate original, exam-quality mathematics questions with full solutions in LaTeX format.\n\nYour questions follow the HSC exam style:\n- Clear, precise mathematical l... | trigonometry | Advanced | short answer question | cn_k12 |
[
{
"role": "system",
"content": "You are an expert HSC Mathematics question generator for the NSW Higher School Certificate examination. You generate original, exam-quality mathematics questions with full solutions in LaTeX format.\n\nYour questions follow the HSC exam style:\n- Clear, precise mathematical l... | functions | Advanced | graphing question | aops_forum |
[
{
"role": "system",
"content": "You are an expert HSC Mathematics question generator for the NSW Higher School Certificate examination. You generate original, exam-quality mathematics questions with full solutions in LaTeX format.\n\nYour questions follow the HSC exam style:\n- Clear, precise mathematical l... | exponential_logarithmic | Advanced | show that / proof question | cn_k12 |
[
{
"role": "system",
"content": "You are an expert HSC Mathematics question generator for the NSW Higher School Certificate examination. You generate original, exam-quality mathematics questions with full solutions in LaTeX format.\n\nYour questions follow the HSC exam style:\n- Clear, precise mathematical l... | parametric_equations | Extension 1 | extended response question | cn_k12 |
[
{
"role": "system",
"content": "You are an expert HSC Mathematics question generator for the NSW Higher School Certificate examination. You generate original, exam-quality mathematics questions with full solutions in LaTeX format.\n\nYour questions follow the HSC exam style:\n- Clear, precise mathematical l... | trigonometry | Advanced | short answer question | cn_k12 |
[
{
"role": "system",
"content": "You are an expert HSC Mathematics question generator for the NSW Higher School Certificate examination. You generate original, exam-quality mathematics questions with full solutions in LaTeX format.\n\nYour questions follow the HSC exam style:\n- Clear, precise mathematical l... | functions | Advanced | short answer question | cn_k12 |
[
{
"role": "system",
"content": "You are an expert HSC Mathematics question generator for the NSW Higher School Certificate examination. You generate original, exam-quality mathematics questions with full solutions in LaTeX format.\n\nYour questions follow the HSC exam style:\n- Clear, precise mathematical l... | sequences_series | Advanced | extended response question | olympiads |
[
{
"role": "system",
"content": "You are an expert HSC Mathematics question generator for the NSW Higher School Certificate examination. You generate original, exam-quality mathematics questions with full solutions in LaTeX format.\n\nYour questions follow the HSC exam style:\n- Clear, precise mathematical l... | parametric_equations | Extension 1 | extended response question | synthetic_math |
[
{
"role": "system",
"content": "You are an expert HSC Mathematics question generator for the NSW Higher School Certificate examination. You generate original, exam-quality mathematics questions with full solutions in LaTeX format.\n\nYour questions follow the HSC exam style:\n- Clear, precise mathematical l... | functions | Advanced | short answer question | synthetic_math |
[
{
"role": "system",
"content": "You are an expert HSC Mathematics question generator for the NSW Higher School Certificate examination. You generate original, exam-quality mathematics questions with full solutions in LaTeX format.\n\nYour questions follow the HSC exam style:\n- Clear, precise mathematical l... | sequences_series | Advanced | extended response question | cn_k12 |
[
{
"role": "system",
"content": "You are an expert HSC Mathematics question generator for the NSW Higher School Certificate examination. You generate original, exam-quality mathematics questions with full solutions in LaTeX format.\n\nYour questions follow the HSC exam style:\n- Clear, precise mathematical l... | trigonometry | Advanced | short answer question | cn_k12 |
[
{
"role": "system",
"content": "You are an expert HSC Mathematics question generator for the NSW Higher School Certificate examination. You generate original, exam-quality mathematics questions with full solutions in LaTeX format.\n\nYour questions follow the HSC exam style:\n- Clear, precise mathematical l... | proof | Extension 1 | extended response question | synthetic_math |
[
{
"role": "system",
"content": "You are an expert HSC Mathematics question generator for the NSW Higher School Certificate examination. You generate original, exam-quality mathematics questions with full solutions in LaTeX format.\n\nYour questions follow the HSC exam style:\n- Clear, precise mathematical l... | combinatorics | Extension 1 | multi-part question | aops_forum |
[
{
"role": "system",
"content": "You are an expert HSC Mathematics question generator for the NSW Higher School Certificate examination. You generate original, exam-quality mathematics questions with full solutions in LaTeX format.\n\nYour questions follow the HSC exam style:\n- Clear, precise mathematical l... | probability | Advanced | extended response question | synthetic_math |
[
{
"role": "system",
"content": "You are an expert HSC Mathematics question generator for the NSW Higher School Certificate examination. You generate original, exam-quality mathematics questions with full solutions in LaTeX format.\n\nYour questions follow the HSC exam style:\n- Clear, precise mathematical l... | proof | Extension 1 | show that / proof question | aops_forum |
[
{
"role": "system",
"content": "You are an expert HSC Mathematics question generator for the NSW Higher School Certificate examination. You generate original, exam-quality mathematics questions with full solutions in LaTeX format.\n\nYour questions follow the HSC exam style:\n- Clear, precise mathematical l... | trigonometry | Advanced | extended response question | synthetic_math |
[
{
"role": "system",
"content": "You are an expert HSC Mathematics question generator for the NSW Higher School Certificate examination. You generate original, exam-quality mathematics questions with full solutions in LaTeX format.\n\nYour questions follow the HSC exam style:\n- Clear, precise mathematical l... | trigonometry | Advanced | extended response question | olympiads |
[
{
"role": "system",
"content": "You are an expert HSC Mathematics question generator for the NSW Higher School Certificate examination. You generate original, exam-quality mathematics questions with full solutions in LaTeX format.\n\nYour questions follow the HSC exam style:\n- Clear, precise mathematical l... | trigonometry | Advanced | extended response question | synthetic_math |
[
{
"role": "system",
"content": "You are an expert HSC Mathematics question generator for the NSW Higher School Certificate examination. You generate original, exam-quality mathematics questions with full solutions in LaTeX format.\n\nYour questions follow the HSC exam style:\n- Clear, precise mathematical l... | functions | Advanced | show that / proof question | olympiads |
[
{
"role": "system",
"content": "You are an expert HSC Mathematics question generator for the NSW Higher School Certificate examination. You generate original, exam-quality mathematics questions with full solutions in LaTeX format.\n\nYour questions follow the HSC exam style:\n- Clear, precise mathematical l... | trigonometry | Advanced | short answer question | cn_k12 |
[
{
"role": "system",
"content": "You are an expert HSC Mathematics question generator for the NSW Higher School Certificate examination. You generate original, exam-quality mathematics questions with full solutions in LaTeX format.\n\nYour questions follow the HSC exam style:\n- Clear, precise mathematical l... | polynomials | Extension 1 | extended response question | synthetic_math |
[
{
"role": "system",
"content": "You are an expert HSC Mathematics question generator for the NSW Higher School Certificate examination. You generate original, exam-quality mathematics questions with full solutions in LaTeX format.\n\nYour questions follow the HSC exam style:\n- Clear, precise mathematical l... | trigonometry | Advanced | short answer question | olympiads |
[
{
"role": "system",
"content": "You are an expert HSC Mathematics question generator for the NSW Higher School Certificate examination. You generate original, exam-quality mathematics questions with full solutions in LaTeX format.\n\nYour questions follow the HSC exam style:\n- Clear, precise mathematical l... | calculus_differentiation | Advanced | short answer question | cn_k12 |
[
{
"role": "system",
"content": "You are an expert HSC Mathematics question generator for the NSW Higher School Certificate examination. You generate original, exam-quality mathematics questions with full solutions in LaTeX format.\n\nYour questions follow the HSC exam style:\n- Clear, precise mathematical l... | functions | Advanced | graphing question | synthetic_math |
[
{
"role": "system",
"content": "You are an expert HSC Mathematics question generator for the NSW Higher School Certificate examination. You generate original, exam-quality mathematics questions with full solutions in LaTeX format.\n\nYour questions follow the HSC exam style:\n- Clear, precise mathematical l... | parametric_equations | Extension 1 | short answer question | synthetic_math |
[
{
"role": "system",
"content": "You are an expert HSC Mathematics question generator for the NSW Higher School Certificate examination. You generate original, exam-quality mathematics questions with full solutions in LaTeX format.\n\nYour questions follow the HSC exam style:\n- Clear, precise mathematical l... | functions | Advanced | extended response question | cn_k12 |
[
{
"role": "system",
"content": "You are an expert HSC Mathematics question generator for the NSW Higher School Certificate examination. You generate original, exam-quality mathematics questions with full solutions in LaTeX format.\n\nYour questions follow the HSC exam style:\n- Clear, precise mathematical l... | functions | Advanced | graphing question | cn_k12 |
[
{
"role": "system",
"content": "You are an expert HSC Mathematics question generator for the NSW Higher School Certificate examination. You generate original, exam-quality mathematics questions with full solutions in LaTeX format.\n\nYour questions follow the HSC exam style:\n- Clear, precise mathematical l... | proof | Extension 1 | short answer question | olympiads |
[
{
"role": "system",
"content": "You are an expert HSC Mathematics question generator for the NSW Higher School Certificate examination. You generate original, exam-quality mathematics questions with full solutions in LaTeX format.\n\nYour questions follow the HSC exam style:\n- Clear, precise mathematical l... | polynomials | Extension 1 | show that / proof question | olympiads |
[
{
"role": "system",
"content": "You are an expert HSC Mathematics question generator for the NSW Higher School Certificate examination. You generate original, exam-quality mathematics questions with full solutions in LaTeX format.\n\nYour questions follow the HSC exam style:\n- Clear, precise mathematical l... | parametric_equations | Extension 1 | short answer question | orca_math |
[
{
"role": "system",
"content": "You are an expert HSC Mathematics question generator for the NSW Higher School Certificate examination. You generate original, exam-quality mathematics questions with full solutions in LaTeX format.\n\nYour questions follow the HSC exam style:\n- Clear, precise mathematical l... | trigonometry | Advanced | short answer question | aops_forum |
[
{
"role": "system",
"content": "You are an expert HSC Mathematics question generator for the NSW Higher School Certificate examination. You generate original, exam-quality mathematics questions with full solutions in LaTeX format.\n\nYour questions follow the HSC exam style:\n- Clear, precise mathematical l... | trigonometry | Advanced | extended response question | cn_k12 |
[
{
"role": "system",
"content": "You are an expert HSC Mathematics question generator for the NSW Higher School Certificate examination. You generate original, exam-quality mathematics questions with full solutions in LaTeX format.\n\nYour questions follow the HSC exam style:\n- Clear, precise mathematical l... | parametric_equations | Extension 1 | short answer question | synthetic_amc |
[
{
"role": "system",
"content": "You are an expert HSC Mathematics question generator for the NSW Higher School Certificate examination. You generate original, exam-quality mathematics questions with full solutions in LaTeX format.\n\nYour questions follow the HSC exam style:\n- Clear, precise mathematical l... | parametric_equations | Extension 1 | extended response question | synthetic_math |
[
{
"role": "system",
"content": "You are an expert HSC Mathematics question generator for the NSW Higher School Certificate examination. You generate original, exam-quality mathematics questions with full solutions in LaTeX format.\n\nYour questions follow the HSC exam style:\n- Clear, precise mathematical l... | parametric_equations | Extension 1 | extended response question | synthetic_math |
[
{
"role": "system",
"content": "You are an expert HSC Mathematics question generator for the NSW Higher School Certificate examination. You generate original, exam-quality mathematics questions with full solutions in LaTeX format.\n\nYour questions follow the HSC exam style:\n- Clear, precise mathematical l... | sequences_series | Advanced | extended response question | cn_k12 |
[
{
"role": "system",
"content": "You are an expert HSC Mathematics question generator for the NSW Higher School Certificate examination. You generate original, exam-quality mathematics questions with full solutions in LaTeX format.\n\nYour questions follow the HSC exam style:\n- Clear, precise mathematical l... | proof | Extension 1 | show that / proof question | olympiads |
[
{
"role": "system",
"content": "You are an expert HSC Mathematics question generator for the NSW Higher School Certificate examination. You generate original, exam-quality mathematics questions with full solutions in LaTeX format.\n\nYour questions follow the HSC exam style:\n- Clear, precise mathematical l... | parametric_equations | Extension 1 | extended response question | synthetic_math |
[
{
"role": "system",
"content": "You are an expert HSC Mathematics question generator for the NSW Higher School Certificate examination. You generate original, exam-quality mathematics questions with full solutions in LaTeX format.\n\nYour questions follow the HSC exam style:\n- Clear, precise mathematical l... | trigonometry | Advanced | extended response question | cn_k12 |
[
{
"role": "system",
"content": "You are an expert HSC Mathematics question generator for the NSW Higher School Certificate examination. You generate original, exam-quality mathematics questions with full solutions in LaTeX format.\n\nYour questions follow the HSC exam style:\n- Clear, precise mathematical l... | probability | Advanced | extended response question | cn_k12 |
[
{
"role": "system",
"content": "You are an expert HSC Mathematics question generator for the NSW Higher School Certificate examination. You generate original, exam-quality mathematics questions with full solutions in LaTeX format.\n\nYour questions follow the HSC exam style:\n- Clear, precise mathematical l... | calculus_integration | Advanced | show that / proof question | aops_forum |
[
{
"role": "system",
"content": "You are an expert HSC Mathematics question generator for the NSW Higher School Certificate examination. You generate original, exam-quality mathematics questions with full solutions in LaTeX format.\n\nYour questions follow the HSC exam style:\n- Clear, precise mathematical l... | functions | Advanced | extended response question | cn_k12 |
[
{
"role": "system",
"content": "You are an expert HSC Mathematics question generator for the NSW Higher School Certificate examination. You generate original, exam-quality mathematics questions with full solutions in LaTeX format.\n\nYour questions follow the HSC exam style:\n- Clear, precise mathematical l... | probability | Advanced | extended response question | aops_forum |
[
{
"role": "system",
"content": "You are an expert HSC Mathematics question generator for the NSW Higher School Certificate examination. You generate original, exam-quality mathematics questions with full solutions in LaTeX format.\n\nYour questions follow the HSC exam style:\n- Clear, precise mathematical l... | trigonometry | Advanced | extended response question | synthetic_math |
[
{
"role": "system",
"content": "You are an expert HSC Mathematics question generator for the NSW Higher School Certificate examination. You generate original, exam-quality mathematics questions with full solutions in LaTeX format.\n\nYour questions follow the HSC exam style:\n- Clear, precise mathematical l... | combinatorics | Extension 1 | extended response question | synthetic_math |
[
{
"role": "system",
"content": "You are an expert HSC Mathematics question generator for the NSW Higher School Certificate examination. You generate original, exam-quality mathematics questions with full solutions in LaTeX format.\n\nYour questions follow the HSC exam style:\n- Clear, precise mathematical l... | functions | Advanced | short answer question | cn_k12 |
[
{
"role": "system",
"content": "You are an expert HSC Mathematics question generator for the NSW Higher School Certificate examination. You generate original, exam-quality mathematics questions with full solutions in LaTeX format.\n\nYour questions follow the HSC exam style:\n- Clear, precise mathematical l... | functions | Advanced | extended response question | cn_k12 |
[
{
"role": "system",
"content": "You are an expert HSC Mathematics question generator for the NSW Higher School Certificate examination. You generate original, exam-quality mathematics questions with full solutions in LaTeX format.\n\nYour questions follow the HSC exam style:\n- Clear, precise mathematical l... | trigonometry | Advanced | extended response question | olympiads |
[
{
"role": "system",
"content": "You are an expert HSC Mathematics question generator for the NSW Higher School Certificate examination. You generate original, exam-quality mathematics questions with full solutions in LaTeX format.\n\nYour questions follow the HSC exam style:\n- Clear, precise mathematical l... | parametric_equations | Extension 1 | extended response question | orca_math |
[
{
"role": "system",
"content": "You are an expert HSC Mathematics question generator for the NSW Higher School Certificate examination. You generate original, exam-quality mathematics questions with full solutions in LaTeX format.\n\nYour questions follow the HSC exam style:\n- Clear, precise mathematical l... | probability | Advanced | short answer question | cn_k12 |
[
{
"role": "system",
"content": "You are an expert HSC Mathematics question generator for the NSW Higher School Certificate examination. You generate original, exam-quality mathematics questions with full solutions in LaTeX format.\n\nYour questions follow the HSC exam style:\n- Clear, precise mathematical l... | calculus_differentiation | Advanced | extended response question | olympiads |
[
{
"role": "system",
"content": "You are an expert HSC Mathematics question generator for the NSW Higher School Certificate examination. You generate original, exam-quality mathematics questions with full solutions in LaTeX format.\n\nYour questions follow the HSC exam style:\n- Clear, precise mathematical l... | proof | Extension 1 | show that / proof question | olympiads |
[
{
"role": "system",
"content": "You are an expert HSC Mathematics question generator for the NSW Higher School Certificate examination. You generate original, exam-quality mathematics questions with full solutions in LaTeX format.\n\nYour questions follow the HSC exam style:\n- Clear, precise mathematical l... | vectors | Extension 1 | extended response question | cn_k12 |
[
{
"role": "system",
"content": "You are an expert HSC Mathematics question generator for the NSW Higher School Certificate examination. You generate original, exam-quality mathematics questions with full solutions in LaTeX format.\n\nYour questions follow the HSC exam style:\n- Clear, precise mathematical l... | trigonometry | Advanced | extended response question | cn_k12 |
[
{
"role": "system",
"content": "You are an expert HSC Mathematics question generator for the NSW Higher School Certificate examination. You generate original, exam-quality mathematics questions with full solutions in LaTeX format.\n\nYour questions follow the HSC exam style:\n- Clear, precise mathematical l... | sequences_series | Advanced | extended response question | cn_k12 |
[
{
"role": "system",
"content": "You are an expert HSC Mathematics question generator for the NSW Higher School Certificate examination. You generate original, exam-quality mathematics questions with full solutions in LaTeX format.\n\nYour questions follow the HSC exam style:\n- Clear, precise mathematical l... | functions | Advanced | short answer question | synthetic_math |
[
{
"role": "system",
"content": "You are an expert HSC Mathematics question generator for the NSW Higher School Certificate examination. You generate original, exam-quality mathematics questions with full solutions in LaTeX format.\n\nYour questions follow the HSC exam style:\n- Clear, precise mathematical l... | probability | Advanced | extended response question | orca_math |
[
{
"role": "system",
"content": "You are an expert HSC Mathematics question generator for the NSW Higher School Certificate examination. You generate original, exam-quality mathematics questions with full solutions in LaTeX format.\n\nYour questions follow the HSC exam style:\n- Clear, precise mathematical l... | proof | Extension 1 | show that / proof question | olympiads |
[
{
"role": "system",
"content": "You are an expert HSC Mathematics question generator for the NSW Higher School Certificate examination. You generate original, exam-quality mathematics questions with full solutions in LaTeX format.\n\nYour questions follow the HSC exam style:\n- Clear, precise mathematical l... | sequences_series | Advanced | short answer question | synthetic_math |
[
{
"role": "system",
"content": "You are an expert HSC Mathematics question generator for the NSW Higher School Certificate examination. You generate original, exam-quality mathematics questions with full solutions in LaTeX format.\n\nYour questions follow the HSC exam style:\n- Clear, precise mathematical l... | trigonometry | Advanced | short answer question | cn_k12 |
[
{
"role": "system",
"content": "You are an expert HSC Mathematics question generator for the NSW Higher School Certificate examination. You generate original, exam-quality mathematics questions with full solutions in LaTeX format.\n\nYour questions follow the HSC exam style:\n- Clear, precise mathematical l... | trigonometry | Advanced | extended response question | olympiads |
[
{
"role": "system",
"content": "You are an expert HSC Mathematics question generator for the NSW Higher School Certificate examination. You generate original, exam-quality mathematics questions with full solutions in LaTeX format.\n\nYour questions follow the HSC exam style:\n- Clear, precise mathematical l... | exponential_logarithmic | Advanced | extended response question | olympiads |
[
{
"role": "system",
"content": "You are an expert HSC Mathematics question generator for the NSW Higher School Certificate examination. You generate original, exam-quality mathematics questions with full solutions in LaTeX format.\n\nYour questions follow the HSC exam style:\n- Clear, precise mathematical l... | trigonometry | Advanced | short answer question | synthetic_amc |
[
{
"role": "system",
"content": "You are an expert HSC Mathematics question generator for the NSW Higher School Certificate examination. You generate original, exam-quality mathematics questions with full solutions in LaTeX format.\n\nYour questions follow the HSC exam style:\n- Clear, precise mathematical l... | calculus_differentiation | Advanced | show that / proof question | aops_forum |
[
{
"role": "system",
"content": "You are an expert HSC Mathematics question generator for the NSW Higher School Certificate examination. You generate original, exam-quality mathematics questions with full solutions in LaTeX format.\n\nYour questions follow the HSC exam style:\n- Clear, precise mathematical l... | combinatorics | Extension 1 | short answer question | cn_k12 |
[
{
"role": "system",
"content": "You are an expert HSC Mathematics question generator for the NSW Higher School Certificate examination. You generate original, exam-quality mathematics questions with full solutions in LaTeX format.\n\nYour questions follow the HSC exam style:\n- Clear, precise mathematical l... | trigonometry | Advanced | short answer question | olympiads |
[
{
"role": "system",
"content": "You are an expert HSC Mathematics question generator for the NSW Higher School Certificate examination. You generate original, exam-quality mathematics questions with full solutions in LaTeX format.\n\nYour questions follow the HSC exam style:\n- Clear, precise mathematical l... | trigonometry | Advanced | short answer question | cn_k12 |
[
{
"role": "system",
"content": "You are an expert HSC Mathematics question generator for the NSW Higher School Certificate examination. You generate original, exam-quality mathematics questions with full solutions in LaTeX format.\n\nYour questions follow the HSC exam style:\n- Clear, precise mathematical l... | trigonometry | Advanced | show that / proof question | olympiads |
[
{
"role": "system",
"content": "You are an expert HSC Mathematics question generator for the NSW Higher School Certificate examination. You generate original, exam-quality mathematics questions with full solutions in LaTeX format.\n\nYour questions follow the HSC exam style:\n- Clear, precise mathematical l... | sequences_series | Advanced | short answer question | olympiads |
[
{
"role": "system",
"content": "You are an expert HSC Mathematics question generator for the NSW Higher School Certificate examination. You generate original, exam-quality mathematics questions with full solutions in LaTeX format.\n\nYour questions follow the HSC exam style:\n- Clear, precise mathematical l... | calculus_integration | Advanced | short answer question | cn_k12 |
[
{
"role": "system",
"content": "You are an expert HSC Mathematics question generator for the NSW Higher School Certificate examination. You generate original, exam-quality mathematics questions with full solutions in LaTeX format.\n\nYour questions follow the HSC exam style:\n- Clear, precise mathematical l... | probability | Advanced | short answer question | cn_k12 |
[
{
"role": "system",
"content": "You are an expert HSC Mathematics question generator for the NSW Higher School Certificate examination. You generate original, exam-quality mathematics questions with full solutions in LaTeX format.\n\nYour questions follow the HSC exam style:\n- Clear, precise mathematical l... | parametric_equations | Extension 1 | extended response question | cn_k12 |
[
{
"role": "system",
"content": "You are an expert HSC Mathematics question generator for the NSW Higher School Certificate examination. You generate original, exam-quality mathematics questions with full solutions in LaTeX format.\n\nYour questions follow the HSC exam style:\n- Clear, precise mathematical l... | proof | Extension 1 | short answer question | olympiads |
[
{
"role": "system",
"content": "You are an expert HSC Mathematics question generator for the NSW Higher School Certificate examination. You generate original, exam-quality mathematics questions with full solutions in LaTeX format.\n\nYour questions follow the HSC exam style:\n- Clear, precise mathematical l... | proof | Extension 1 | show that / proof question | olympiads |
[
{
"role": "system",
"content": "You are an expert HSC Mathematics question generator for the NSW Higher School Certificate examination. You generate original, exam-quality mathematics questions with full solutions in LaTeX format.\n\nYour questions follow the HSC exam style:\n- Clear, precise mathematical l... | vectors | Extension 1 | extended response question | synthetic_math |
[
{
"role": "system",
"content": "You are an expert HSC Mathematics question generator for the NSW Higher School Certificate examination. You generate original, exam-quality mathematics questions with full solutions in LaTeX format.\n\nYour questions follow the HSC exam style:\n- Clear, precise mathematical l... | proof | Extension 1 | extended response question | olympiads |
[
{
"role": "system",
"content": "You are an expert HSC Mathematics question generator for the NSW Higher School Certificate examination. You generate original, exam-quality mathematics questions with full solutions in LaTeX format.\n\nYour questions follow the HSC exam style:\n- Clear, precise mathematical l... | proof | Extension 1 | short answer question | olympiads |
[
{
"role": "system",
"content": "You are an expert HSC Mathematics question generator for the NSW Higher School Certificate examination. You generate original, exam-quality mathematics questions with full solutions in LaTeX format.\n\nYour questions follow the HSC exam style:\n- Clear, precise mathematical l... | sequences_series | Advanced | short answer question | olympiads |
[
{
"role": "system",
"content": "You are an expert HSC Mathematics question generator for the NSW Higher School Certificate examination. You generate original, exam-quality mathematics questions with full solutions in LaTeX format.\n\nYour questions follow the HSC exam style:\n- Clear, precise mathematical l... | proof | Extension 1 | short answer question | synthetic_math |
[
{
"role": "system",
"content": "You are an expert HSC Mathematics question generator for the NSW Higher School Certificate examination. You generate original, exam-quality mathematics questions with full solutions in LaTeX format.\n\nYour questions follow the HSC exam style:\n- Clear, precise mathematical l... | proof | Extension 1 | show that / proof question | olympiads |
[
{
"role": "system",
"content": "You are an expert HSC Mathematics question generator for the NSW Higher School Certificate examination. You generate original, exam-quality mathematics questions with full solutions in LaTeX format.\n\nYour questions follow the HSC exam style:\n- Clear, precise mathematical l... | proof | Extension 1 | show that / proof question | olympiads |
[
{
"role": "system",
"content": "You are an expert HSC Mathematics question generator for the NSW Higher School Certificate examination. You generate original, exam-quality mathematics questions with full solutions in LaTeX format.\n\nYour questions follow the HSC exam style:\n- Clear, precise mathematical l... | sequences_series | Advanced | extended response question | cn_k12 |
[
{
"role": "system",
"content": "You are an expert HSC Mathematics question generator for the NSW Higher School Certificate examination. You generate original, exam-quality mathematics questions with full solutions in LaTeX format.\n\nYour questions follow the HSC exam style:\n- Clear, precise mathematical l... | trigonometry | Advanced | extended response question | cn_k12 |
[
{
"role": "system",
"content": "You are an expert HSC Mathematics question generator for the NSW Higher School Certificate examination. You generate original, exam-quality mathematics questions with full solutions in LaTeX format.\n\nYour questions follow the HSC exam style:\n- Clear, precise mathematical l... | sequences_series | Advanced | short answer question | synthetic_amc |
[
{
"role": "system",
"content": "You are an expert HSC Mathematics question generator for the NSW Higher School Certificate examination. You generate original, exam-quality mathematics questions with full solutions in LaTeX format.\n\nYour questions follow the HSC exam style:\n- Clear, precise mathematical l... | proof | Extension 1 | extended response question | olympiads |
[
{
"role": "system",
"content": "You are an expert HSC Mathematics question generator for the NSW Higher School Certificate examination. You generate original, exam-quality mathematics questions with full solutions in LaTeX format.\n\nYour questions follow the HSC exam style:\n- Clear, precise mathematical l... | probability | Advanced | short answer question | cn_k12 |
[
{
"role": "system",
"content": "You are an expert HSC Mathematics question generator for the NSW Higher School Certificate examination. You generate original, exam-quality mathematics questions with full solutions in LaTeX format.\n\nYour questions follow the HSC exam style:\n- Clear, precise mathematical l... | parametric_equations | Extension 1 | short answer question | synthetic_amc |
[
{
"role": "system",
"content": "You are an expert HSC Mathematics question generator for the NSW Higher School Certificate examination. You generate original, exam-quality mathematics questions with full solutions in LaTeX format.\n\nYour questions follow the HSC exam style:\n- Clear, precise mathematical l... | functions | Advanced | short answer question | cn_k12 |
[
{
"role": "system",
"content": "You are an expert HSC Mathematics question generator for the NSW Higher School Certificate examination. You generate original, exam-quality mathematics questions with full solutions in LaTeX format.\n\nYour questions follow the HSC exam style:\n- Clear, precise mathematical l... | trigonometry | Advanced | short answer question | cn_k12 |
[
{
"role": "system",
"content": "You are an expert HSC Mathematics question generator for the NSW Higher School Certificate examination. You generate original, exam-quality mathematics questions with full solutions in LaTeX format.\n\nYour questions follow the HSC exam style:\n- Clear, precise mathematical l... | trigonometry | Advanced | short answer question | cn_k12 |
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