family stringclasses 1 value | question_id int64 0 2 | signal_type stringclasses 2 values | amplitude_scale float64 0.5 2.5 | frequency_cycles float64 1 16 | phase_deg float64 0 240 ⌀ | time_step int64 0 255 | p_value float64 3.5 4.5 | prompt stringlengths 59 76 | ground_truth float64 0.52 2.33 | symbolic_baseline_answer float64 0.52 2.33 |
|---|---|---|---|---|---|---|---|---|---|---|
linear_system | 2 | chirp | 1 | 15.53125 | null | 248 | 3.858579 | Solve this system for x:
3.8585786437627303x + 1y = 10
2x + 4y = 12
FINAL: | 2.084215 | 2.084215 |
linear_system | 2 | chirp | 1 | 15.589844 | null | 249 | 4.078798 | Solve this system for x:
4.078798408012313x + 1y = 10
2x + 4y = 12
FINAL: | 1.955964 | 1.955964 |
linear_system | 2 | chirp | 1 | 15.648438 | null | 250 | 4.067378 | Solve this system for x:
4.067377970678239x + 1y = 10
2x + 4y = 12
FINAL: | 1.962225 | 1.962225 |
linear_system | 2 | chirp | 1 | 15.707031 | null | 251 | 3.801219 | Solve this system for x:
3.8012186059995576x + 1y = 10
2x + 4y = 12
FINAL: | 2.120429 | 2.120429 |
linear_system | 2 | chirp | 1 | 15.765625 | null | 252 | 4.039018 | Solve this system for x:
4.039018064403467x + 1y = 10
2x + 4y = 12
FINAL: | 1.97795 | 1.97795 |
linear_system | 2 | chirp | 1 | 15.824219 | null | 253 | 4.199263 | Solve this system for x:
4.19926252243657x + 1y = 10
2x + 4y = 12
FINAL: | 1.892269 | 1.892269 |
linear_system | 2 | chirp | 1 | 15.882813 | null | 254 | 4.134312 | Solve this system for x:
4.134311790969384x + 1y = 10
2x + 4y = 12
FINAL: | 1.926087 | 1.926087 |
linear_system | 2 | chirp | 1 | 15.941406 | null | 255 | 4.036608 | Solve this system for x:
4.036607977590843x + 1y = 10
2x + 4y = 12
FINAL: | 1.979298 | 1.979298 |
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