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 | 0 | chirp | 1 | 10.375 | null | 160 | 4 | Solve this system for x:
3.9999999999999867x + 1y = 7
1x + 5y = 11
FINAL: | 1.263158 | 1.263158 |
linear_system | 0 | chirp | 1 | 10.433594 | null | 161 | 4.113146 | Solve this system for x:
4.113146362156703x + 1y = 7
1x + 5y = 11
FINAL: | 1.226634 | 1.226634 |
linear_system | 0 | chirp | 1 | 10.492188 | null | 162 | 3.85181 | Solve this system for x:
3.851809774928969x + 1y = 7
1x + 5y = 11
FINAL: | 1.314417 | 1.314417 |
linear_system | 0 | chirp | 1 | 10.550781 | null | 163 | 4.128766 | Solve this system for x:
4.12876630857802x + 1y = 7
1x + 5y = 11
FINAL: | 1.221758 | 1.221758 |
linear_system | 0 | chirp | 1 | 10.609375 | null | 164 | 3.960982 | Solve this system for x:
3.9609819355967355x + 1y = 7
1x + 5y = 11
FINAL: | 1.276262 | 1.276262 |
linear_system | 0 | chirp | 1 | 10.667969 | null | 165 | 3.875028 | Solve this system for x:
3.8750281023716155x + 1y = 7
1x + 5y = 11
FINAL: | 1.306112 | 1.306112 |
linear_system | 0 | chirp | 1 | 10.726563 | null | 166 | 4.188309 | Solve this system for x:
4.188308813036651x + 1y = 7
1x + 5y = 11
FINAL: | 1.203518 | 1.203518 |
linear_system | 0 | chirp | 1 | 10.785156 | null | 167 | 4.074263 | Solve this system for x:
4.074263438790282x + 1y = 7
1x + 5y = 11
FINAL: | 1.238945 | 1.238945 |
linear_system | 0 | chirp | 1 | 10.84375 | null | 168 | 3.858579 | Solve this system for x:
3.8585786437626997x + 1y = 7
1x + 5y = 11
FINAL: | 1.311985 | 1.311985 |
linear_system | 0 | chirp | 1 | 10.902344 | null | 169 | 3.800015 | Solve this system for x:
3.8000150596321713x + 1y = 7
1x + 5y = 11
FINAL: | 1.333328 | 1.333328 |
linear_system | 0 | chirp | 1 | 10.960938 | null | 170 | 3.819202 | Solve this system for x:
3.8192021413753694x + 1y = 7
1x + 5y = 11
FINAL: | 1.326259 | 1.326259 |
linear_system | 0 | chirp | 1 | 11.019531 | null | 171 | 3.824786 | Solve this system for x:
3.824785981160932x + 1y = 7
1x + 5y = 11
FINAL: | 1.324216 | 1.324216 |
linear_system | 0 | chirp | 1 | 11.078125 | null | 172 | 3.803843 | Solve this system for x:
3.8038429439193613x + 1y = 7
1x + 5y = 11
FINAL: | 1.331912 | 1.331912 |
linear_system | 0 | chirp | 1 | 11.136719 | null | 173 | 3.822472 | Solve this system for x:
3.822472075919435x + 1y = 7
1x + 5y = 11
FINAL: | 1.325062 | 1.325062 |
linear_system | 0 | chirp | 1 | 11.195313 | null | 174 | 3.990186 | Solve this system for x:
3.9901864651344594x + 1y = 7
1x + 5y = 11
FINAL: | 1.266428 | 1.266428 |
linear_system | 0 | chirp | 1 | 11.253906 | null | 175 | 4.195663 | Solve this system for x:
4.195663474143912x + 1y = 7
1x + 5y = 11
FINAL: | 1.201302 | 1.201302 |
linear_system | 0 | chirp | 1 | 11.3125 | null | 176 | 4 | Solve this system for x:
4.0000000000000115x + 1y = 7
1x + 5y = 11
FINAL: | 1.263158 | 1.263158 |
linear_system | 0 | chirp | 1 | 11.371094 | null | 177 | 3.832355 | Solve this system for x:
3.8323550588889903x + 1y = 7
1x + 5y = 11
FINAL: | 1.321457 | 1.321457 |
linear_system | 0 | chirp | 1 | 11.429688 | null | 178 | 4.199759 | Solve this system for x:
4.19975909124103x + 1y = 7
1x + 5y = 11
FINAL: | 1.200072 | 1.200072 |
linear_system | 0 | chirp | 1 | 11.488281 | null | 179 | 3.809339 | Solve this system for x:
3.809338791929169x + 1y = 7
1x + 5y = 11
FINAL: | 1.329883 | 1.329883 |
linear_system | 0 | chirp | 1 | 11.546875 | null | 180 | 4.196157 | Solve this system for x:
4.196157056080629x + 1y = 7
1x + 5y = 11
FINAL: | 1.201154 | 1.201154 |
linear_system | 0 | chirp | 1 | 11.605469 | null | 181 | 3.807914 | Solve this system for x:
3.807913896116862x + 1y = 7
1x + 5y = 11
FINAL: | 1.330409 | 1.330409 |
linear_system | 0 | chirp | 1 | 11.664063 | null | 182 | 4.085511 | Solve this system for x:
4.0855110186860815x + 1y = 7
1x + 5y = 11
FINAL: | 1.235359 | 1.235359 |
linear_system | 0 | chirp | 1 | 11.722656 | null | 183 | 4.139675 | Solve this system for x:
4.139675249881732x + 1y = 7
1x + 5y = 11
FINAL: | 1.218375 | 1.218375 |
linear_system | 0 | chirp | 1 | 11.78125 | null | 184 | 3.858579 | Solve this system for x:
3.85857864376263x + 1y = 7
1x + 5y = 11
FINAL: | 1.311985 | 1.311985 |
linear_system | 0 | chirp | 1 | 11.839844 | null | 185 | 3.816177 | Solve this system for x:
3.816177229661997x + 1y = 7
1x + 5y = 11
FINAL: | 1.327369 | 1.327369 |
linear_system | 0 | chirp | 1 | 11.898438 | null | 186 | 3.932622 | Solve this system for x:
3.9326220293216294x + 1y = 7
1x + 5y = 11
FINAL: | 1.285959 | 1.285959 |
linear_system | 0 | chirp | 1 | 11.957031 | null | 187 | 4.022044 | Solve this system for x:
4.022044441458848x + 1y = 7
1x + 5y = 11
FINAL: | 1.255872 | 1.255872 |
linear_system | 0 | chirp | 1 | 12.015625 | null | 188 | 4.039018 | Solve this system for x:
4.039018064403231x + 1y = 7
1x + 5y = 11
FINAL: | 1.25032 | 1.25032 |
linear_system | 0 | chirp | 1 | 12.074219 | null | 189 | 3.982841 | Solve this system for x:
3.9828405375311697x + 1y = 7
1x + 5y = 11
FINAL: | 1.268888 | 1.268888 |
linear_system | 0 | chirp | 1 | 12.132813 | null | 190 | 3.865688 | Solve this system for x:
3.865688209030633x + 1y = 7
1x + 5y = 11
FINAL: | 1.30944 | 1.30944 |
linear_system | 0 | chirp | 1 | 12.191406 | null | 191 | 3.803379 | Solve this system for x:
3.8033789025137605x + 1y = 7
1x + 5y = 11
FINAL: | 1.332083 | 1.332083 |
linear_system | 0 | chirp | 1 | 12.25 | null | 192 | 4 | Solve this system for x:
3.9999999999999716x + 1y = 7
1x + 5y = 11
FINAL: | 1.263158 | 1.263158 |
linear_system | 0 | chirp | 1 | 12.308594 | null | 193 | 4.196621 | Solve this system for x:
4.196621097486246x + 1y = 7
1x + 5y = 11
FINAL: | 1.201015 | 1.201015 |
linear_system | 0 | chirp | 1 | 12.367188 | null | 194 | 3.865688 | Solve this system for x:
3.8656882090306883x + 1y = 7
1x + 5y = 11
FINAL: | 1.30944 | 1.30944 |
linear_system | 0 | chirp | 1 | 12.425781 | null | 195 | 4.017159 | Solve this system for x:
4.017159462468718x + 1y = 7
1x + 5y = 11
FINAL: | 1.25748 | 1.25748 |
linear_system | 0 | chirp | 1 | 12.484375 | null | 196 | 4.039018 | Solve this system for x:
4.039018064403199x + 1y = 7
1x + 5y = 11
FINAL: | 1.25032 | 1.25032 |
linear_system | 0 | chirp | 1 | 12.542969 | null | 197 | 3.977956 | Solve this system for x:
3.9779555585411464x + 1y = 7
1x + 5y = 11
FINAL: | 1.270528 | 1.270528 |
linear_system | 0 | chirp | 1 | 12.601563 | null | 198 | 3.932622 | Solve this system for x:
3.9326220293216694x + 1y = 7
1x + 5y = 11
FINAL: | 1.285959 | 1.285959 |
linear_system | 0 | chirp | 1 | 12.660156 | null | 199 | 4.183823 | Solve this system for x:
4.183822770337971x + 1y = 7
1x + 5y = 11
FINAL: | 1.204873 | 1.204873 |
linear_system | 0 | chirp | 1 | 12.71875 | null | 200 | 3.858579 | Solve this system for x:
3.8585786437626757x + 1y = 7
1x + 5y = 11
FINAL: | 1.311985 | 1.311985 |
linear_system | 0 | chirp | 1 | 12.777344 | null | 201 | 3.860325 | Solve this system for x:
3.8603247501183793x + 1y = 7
1x + 5y = 11
FINAL: | 1.311359 | 1.311359 |
linear_system | 0 | chirp | 1 | 12.835938 | null | 202 | 4.085511 | Solve this system for x:
4.085511018686091x + 1y = 7
1x + 5y = 11
FINAL: | 1.235359 | 1.235359 |
linear_system | 0 | chirp | 1 | 12.894531 | null | 203 | 4.192086 | Solve this system for x:
4.192086103883152x + 1y = 7
1x + 5y = 11
FINAL: | 1.202379 | 1.202379 |
linear_system | 0 | chirp | 1 | 12.953125 | null | 204 | 4.196157 | Solve this system for x:
4.1961570560806125x + 1y = 7
1x + 5y = 11
FINAL: | 1.201154 | 1.201154 |
linear_system | 0 | chirp | 1 | 13.011719 | null | 205 | 4.190661 | Solve this system for x:
4.190661208070794x + 1y = 7
1x + 5y = 11
FINAL: | 1.202808 | 1.202808 |
linear_system | 0 | chirp | 1 | 13.070313 | null | 206 | 4.199759 | Solve this system for x:
4.199759091241032x + 1y = 7
1x + 5y = 11
FINAL: | 1.200072 | 1.200072 |
linear_system | 0 | chirp | 1 | 13.128906 | null | 207 | 4.167645 | Solve this system for x:
4.167644941110919x + 1y = 7
1x + 5y = 11
FINAL: | 1.209786 | 1.209786 |
linear_system | 0 | chirp | 1 | 13.1875 | null | 208 | 4 | Solve this system for x:
4.000000000000065x + 1y = 7
1x + 5y = 11
FINAL: | 1.263158 | 1.263158 |
linear_system | 0 | chirp | 1 | 13.246094 | null | 209 | 3.804337 | Solve this system for x:
3.804336525856107x + 1y = 7
1x + 5y = 11
FINAL: | 1.331729 | 1.331729 |
linear_system | 0 | chirp | 1 | 13.304688 | null | 210 | 3.990186 | Solve this system for x:
3.990186465134331x + 1y = 7
1x + 5y = 11
FINAL: | 1.266428 | 1.266428 |
linear_system | 0 | chirp | 1 | 13.363281 | null | 211 | 4.177528 | Solve this system for x:
4.177527924080642x + 1y = 7
1x + 5y = 11
FINAL: | 1.20678 | 1.20678 |
linear_system | 0 | chirp | 1 | 13.421875 | null | 212 | 3.803843 | Solve this system for x:
3.8038429439193653x + 1y = 7
1x + 5y = 11
FINAL: | 1.331912 | 1.331912 |
linear_system | 0 | chirp | 1 | 13.480469 | null | 213 | 4.175214 | Solve this system for x:
4.175214018839128x + 1y = 7
1x + 5y = 11
FINAL: | 1.207482 | 1.207482 |
linear_system | 0 | chirp | 1 | 13.539063 | null | 214 | 3.819202 | Solve this system for x:
3.819202141375333x + 1y = 7
1x + 5y = 11
FINAL: | 1.326259 | 1.326259 |
linear_system | 0 | chirp | 1 | 13.597656 | null | 215 | 4.199985 | Solve this system for x:
4.199984940367827x + 1y = 7
1x + 5y = 11
FINAL: | 1.200005 | 1.200005 |
linear_system | 0 | chirp | 1 | 13.65625 | null | 216 | 3.858579 | Solve this system for x:
3.858578643762579x + 1y = 7
1x + 5y = 11
FINAL: | 1.311985 | 1.311985 |
linear_system | 0 | chirp | 1 | 13.714844 | null | 217 | 3.925737 | Solve this system for x:
3.9257365612097432x + 1y = 7
1x + 5y = 11
FINAL: | 1.288336 | 1.288336 |
linear_system | 0 | chirp | 1 | 13.773438 | null | 218 | 4.188309 | Solve this system for x:
4.188308813036611x + 1y = 7
1x + 5y = 11
FINAL: | 1.203518 | 1.203518 |
linear_system | 0 | chirp | 1 | 13.832031 | null | 219 | 4.124972 | Solve this system for x:
4.124971897628305x + 1y = 7
1x + 5y = 11
FINAL: | 1.222939 | 1.222939 |
linear_system | 0 | chirp | 1 | 13.890625 | null | 220 | 3.960982 | Solve this system for x:
3.960981935596778x + 1y = 7
1x + 5y = 11
FINAL: | 1.276262 | 1.276262 |
linear_system | 0 | chirp | 1 | 13.949219 | null | 221 | 3.871234 | Solve this system for x:
3.8712336914219847x + 1y = 7
1x + 5y = 11
FINAL: | 1.307462 | 1.307462 |
linear_system | 0 | chirp | 1 | 14.007813 | null | 222 | 3.85181 | Solve this system for x:
3.8518097749289475x + 1y = 7
1x + 5y = 11
FINAL: | 1.314417 | 1.314417 |
linear_system | 0 | chirp | 1 | 14.066406 | null | 223 | 3.886854 | Solve this system for x:
3.88685363784324x + 1y = 7
1x + 5y = 11
FINAL: | 1.301923 | 1.301923 |
linear_system | 0 | chirp | 1 | 14.125 | null | 224 | 4 | Solve this system for x:
4.000000000000062x + 1y = 7
1x + 5y = 11
FINAL: | 1.263158 | 1.263158 |
linear_system | 0 | chirp | 1 | 14.183594 | null | 225 | 4.164918 | Solve this system for x:
4.16491786055693x + 1y = 7
1x + 5y = 11
FINAL: | 1.210618 | 1.210618 |
linear_system | 0 | chirp | 1 | 14.242188 | null | 226 | 4.14819 | Solve this system for x:
4.14819022507117x + 1y = 7
1x + 5y = 11
FINAL: | 1.215747 | 1.215747 |
linear_system | 0 | chirp | 1 | 14.300781 | null | 227 | 3.846967 | Solve this system for x:
3.846966546875491x + 1y = 7
1x + 5y = 11
FINAL: | 1.316162 | 1.316162 |
linear_system | 0 | chirp | 1 | 14.359375 | null | 228 | 3.960982 | Solve this system for x:
3.9609819355967906x + 1y = 7
1x + 5y = 11
FINAL: | 1.276262 | 1.276262 |
linear_system | 0 | chirp | 1 | 14.417969 | null | 229 | 4.156147 | Solve this system for x:
4.156147445714376x + 1y = 7
1x + 5y = 11
FINAL: | 1.213302 | 1.213302 |
linear_system | 0 | chirp | 1 | 14.476563 | null | 230 | 3.811691 | Solve this system for x:
3.8116911869633348x + 1y = 7
1x + 5y = 11
FINAL: | 1.329017 | 1.329017 |
linear_system | 0 | chirp | 1 | 14.535156 | null | 231 | 4.185701 | Solve this system for x:
4.185701216094645x + 1y = 7
1x + 5y = 11
FINAL: | 1.204305 | 1.204305 |
linear_system | 0 | chirp | 1 | 14.59375 | null | 232 | 3.858579 | Solve this system for x:
3.858578643762597x + 1y = 7
1x + 5y = 11
FINAL: | 1.311985 | 1.311985 |
linear_system | 0 | chirp | 1 | 14.652344 | null | 233 | 4.002454 | Solve this system for x:
4.002454307657341x + 1y = 7
1x + 5y = 11
FINAL: | 1.262343 | 1.262343 |
linear_system | 0 | chirp | 1 | 14.710938 | null | 234 | 4.180798 | Solve this system for x:
4.1807978586246035x + 1y = 7
1x + 5y = 11
FINAL: | 1.205788 | 1.205788 |
linear_system | 0 | chirp | 1 | 14.769531 | null | 235 | 3.903563 | Solve this system for x:
3.903563245584052x + 1y = 7
1x + 5y = 11
FINAL: | 1.296049 | 1.296049 |
linear_system | 0 | chirp | 1 | 14.828125 | null | 236 | 3.803843 | Solve this system for x:
3.8038429439193577x + 1y = 7
1x + 5y = 11
FINAL: | 1.331912 | 1.331912 |
linear_system | 0 | chirp | 1 | 14.886719 | null | 237 | 3.907892 | Solve this system for x:
3.9078922578085313x + 1y = 7
1x + 5y = 11
FINAL: | 1.294536 | 1.294536 |
linear_system | 0 | chirp | 1 | 14.945313 | null | 238 | 4.009814 | Solve this system for x:
4.009813534865442x + 1y = 7
1x + 5y = 11
FINAL: | 1.259904 | 1.259904 |
linear_system | 0 | chirp | 1 | 15.003906 | null | 239 | 4.041422 | Solve this system for x:
4.041422275238459x + 1y = 7
1x + 5y = 11
FINAL: | 1.249537 | 1.249537 |
linear_system | 0 | chirp | 1 | 15.0625 | null | 240 | 4 | Solve this system for x:
4.000000000000012x + 1y = 7
1x + 5y = 11
FINAL: | 1.263158 | 1.263158 |
linear_system | 0 | chirp | 1 | 15.121094 | null | 241 | 3.890935 | Solve this system for x:
3.8909350023155467x + 1y = 7
1x + 5y = 11
FINAL: | 1.300483 | 1.300483 |
linear_system | 0 | chirp | 1 | 15.179688 | null | 242 | 3.800241 | Solve this system for x:
3.8002409087589744x + 1y = 7
1x + 5y = 11
FINAL: | 1.333244 | 1.333244 |
linear_system | 0 | chirp | 1 | 15.238281 | null | 243 | 3.939599 | Solve this system for x:
3.939598810136159x + 1y = 7
1x + 5y = 11
FINAL: | 1.28356 | 1.28356 |
linear_system | 0 | chirp | 1 | 15.296875 | null | 244 | 4.196157 | Solve this system for x:
4.196157056080625x + 1y = 7
1x + 5y = 11
FINAL: | 1.201154 | 1.201154 |
linear_system | 0 | chirp | 1 | 15.355469 | null | 245 | 3.944296 | Solve this system for x:
3.9442960621231427x + 1y = 7
1x + 5y = 11
FINAL: | 1.28195 | 1.28195 |
linear_system | 0 | chirp | 1 | 15.414063 | null | 246 | 3.914489 | Solve this system for x:
3.9144889813138084x + 1y = 7
1x + 5y = 11
FINAL: | 1.292237 | 1.292237 |
linear_system | 0 | chirp | 1 | 15.472656 | null | 247 | 4.143146 | Solve this system for x:
4.143146165056818x + 1y = 7
1x + 5y = 11
FINAL: | 1.217302 | 1.217302 |
linear_system | 0 | chirp | 1 | 15.53125 | null | 248 | 3.858579 | Solve this system for x:
3.8585786437627303x + 1y = 7
1x + 5y = 11
FINAL: | 1.311985 | 1.311985 |
linear_system | 0 | chirp | 1 | 15.589844 | null | 249 | 4.078798 | Solve this system for x:
4.078798408012313x + 1y = 7
1x + 5y = 11
FINAL: | 1.237497 | 1.237497 |
linear_system | 0 | chirp | 1 | 15.648438 | null | 250 | 4.067378 | Solve this system for x:
4.067377970678239x + 1y = 7
1x + 5y = 11
FINAL: | 1.241151 | 1.241151 |
linear_system | 0 | chirp | 1 | 15.707031 | null | 251 | 3.801219 | Solve this system for x:
3.8012186059995576x + 1y = 7
1x + 5y = 11
FINAL: | 1.332882 | 1.332882 |
linear_system | 0 | chirp | 1 | 15.765625 | null | 252 | 4.039018 | Solve this system for x:
4.039018064403467x + 1y = 7
1x + 5y = 11
FINAL: | 1.25032 | 1.25032 |
linear_system | 0 | chirp | 1 | 15.824219 | null | 253 | 4.199263 | Solve this system for x:
4.19926252243657x + 1y = 7
1x + 5y = 11
FINAL: | 1.200221 | 1.200221 |
linear_system | 0 | chirp | 1 | 15.882813 | null | 254 | 4.134312 | Solve this system for x:
4.134311790969384x + 1y = 7
1x + 5y = 11
FINAL: | 1.220035 | 1.220035 |
linear_system | 0 | chirp | 1 | 15.941406 | null | 255 | 4.036608 | Solve this system for x:
4.036607977590843x + 1y = 7
1x + 5y = 11
FINAL: | 1.251105 | 1.251105 |
linear_system | 1 | chirp | 1 | 1 | null | 0 | 4 | Solve this system for x:
4.0x + 2y = 8
1x + 3y = 9
FINAL: | 0.6 | 0.6 |
linear_system | 1 | chirp | 1 | 1.058594 | null | 1 | 4.036608 | Solve this system for x:
4.036607977591028x + 2y = 8
1x + 3y = 9
FINAL: | 0.593482 | 0.593482 |
linear_system | 1 | chirp | 1 | 1.117188 | null | 2 | 4.134312 | Solve this system for x:
4.134311790969403x + 2y = 8
1x + 3y = 9
FINAL: | 0.57676 | 0.57676 |
linear_system | 1 | chirp | 1 | 1.175781 | null | 3 | 4.199263 | Solve this system for x:
4.199262522436555x + 2y = 8
1x + 3y = 9
FINAL: | 0.566156 | 0.566156 |
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