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 | sinusoid | 2.5 | 16 | 240 | 24 | 3.566987 | Solve this system for x:
3.5669872981077804x + 1y = 10
2x + 4y = 12
FINAL: | 2.28237 | 2.28237 |
linear_system | 2 | sinusoid | 2.5 | 16 | 240 | 25 | 3.75 | Solve this system for x:
3.750000000000001x + 1y = 10
2x + 4y = 12
FINAL: | 2.153846 | 2.153846 |
linear_system | 2 | sinusoid | 2.5 | 16 | 240 | 26 | 4.433013 | Solve this system for x:
4.4330127018922205x + 1y = 10
2x + 4y = 12
FINAL: | 1.779806 | 1.779806 |
linear_system | 2 | sinusoid | 2.5 | 16 | 240 | 27 | 4.25 | Solve this system for x:
4.250000000000001x + 1y = 10
2x + 4y = 12
FINAL: | 1.866667 | 1.866667 |
linear_system | 2 | sinusoid | 2.5 | 16 | 240 | 28 | 3.566987 | Solve this system for x:
3.5669872981077804x + 1y = 10
2x + 4y = 12
FINAL: | 2.28237 | 2.28237 |
linear_system | 2 | sinusoid | 2.5 | 16 | 240 | 29 | 3.75 | Solve this system for x:
3.750000000000001x + 1y = 10
2x + 4y = 12
FINAL: | 2.153846 | 2.153846 |
linear_system | 2 | sinusoid | 2.5 | 16 | 240 | 30 | 4.433013 | Solve this system for x:
4.433012701892219x + 1y = 10
2x + 4y = 12
FINAL: | 1.779806 | 1.779806 |
linear_system | 2 | sinusoid | 2.5 | 16 | 240 | 31 | 4.25 | Solve this system for x:
4.250000000000001x + 1y = 10
2x + 4y = 12
FINAL: | 1.866667 | 1.866667 |
linear_system | 2 | sinusoid | 2.5 | 16 | 240 | 32 | 3.566987 | Solve this system for x:
3.5669872981077804x + 1y = 10
2x + 4y = 12
FINAL: | 2.28237 | 2.28237 |
linear_system | 2 | sinusoid | 2.5 | 16 | 240 | 33 | 3.75 | Solve this system for x:
3.750000000000001x + 1y = 10
2x + 4y = 12
FINAL: | 2.153846 | 2.153846 |
linear_system | 2 | sinusoid | 2.5 | 16 | 240 | 34 | 4.433013 | Solve this system for x:
4.4330127018922205x + 1y = 10
2x + 4y = 12
FINAL: | 1.779806 | 1.779806 |
linear_system | 2 | sinusoid | 2.5 | 16 | 240 | 35 | 4.25 | Solve this system for x:
4.250000000000001x + 1y = 10
2x + 4y = 12
FINAL: | 1.866667 | 1.866667 |
linear_system | 2 | sinusoid | 2.5 | 16 | 240 | 36 | 3.566987 | Solve this system for x:
3.566987298107781x + 1y = 10
2x + 4y = 12
FINAL: | 2.28237 | 2.28237 |
linear_system | 2 | sinusoid | 2.5 | 16 | 240 | 37 | 3.75 | Solve this system for x:
3.750000000000001x + 1y = 10
2x + 4y = 12
FINAL: | 2.153846 | 2.153846 |
linear_system | 2 | sinusoid | 2.5 | 16 | 240 | 38 | 4.433013 | Solve this system for x:
4.433012701892219x + 1y = 10
2x + 4y = 12
FINAL: | 1.779806 | 1.779806 |
linear_system | 2 | sinusoid | 2.5 | 16 | 240 | 39 | 4.25 | Solve this system for x:
4.250000000000001x + 1y = 10
2x + 4y = 12
FINAL: | 1.866667 | 1.866667 |
linear_system | 2 | sinusoid | 2.5 | 16 | 240 | 40 | 3.566987 | Solve this system for x:
3.5669872981077826x + 1y = 10
2x + 4y = 12
FINAL: | 2.28237 | 2.28237 |
linear_system | 2 | sinusoid | 2.5 | 16 | 240 | 41 | 3.75 | Solve this system for x:
3.7499999999999947x + 1y = 10
2x + 4y = 12
FINAL: | 2.153846 | 2.153846 |
linear_system | 2 | sinusoid | 2.5 | 16 | 240 | 42 | 4.433013 | Solve this system for x:
4.433012701892219x + 1y = 10
2x + 4y = 12
FINAL: | 1.779806 | 1.779806 |
linear_system | 2 | sinusoid | 2.5 | 16 | 240 | 43 | 4.25 | Solve this system for x:
4.250000000000004x + 1y = 10
2x + 4y = 12
FINAL: | 1.866667 | 1.866667 |
linear_system | 2 | sinusoid | 2.5 | 16 | 240 | 44 | 3.566987 | Solve this system for x:
3.5669872981077844x + 1y = 10
2x + 4y = 12
FINAL: | 2.28237 | 2.28237 |
linear_system | 2 | sinusoid | 2.5 | 16 | 240 | 45 | 3.75 | Solve this system for x:
3.7499999999999973x + 1y = 10
2x + 4y = 12
FINAL: | 2.153846 | 2.153846 |
linear_system | 2 | sinusoid | 2.5 | 16 | 240 | 46 | 4.433013 | Solve this system for x:
4.433012701892217x + 1y = 10
2x + 4y = 12
FINAL: | 1.779806 | 1.779806 |
linear_system | 2 | sinusoid | 2.5 | 16 | 240 | 47 | 4.25 | Solve this system for x:
4.250000000000001x + 1y = 10
2x + 4y = 12
FINAL: | 1.866667 | 1.866667 |
linear_system | 2 | sinusoid | 2.5 | 16 | 240 | 48 | 3.566987 | Solve this system for x:
3.5669872981077826x + 1y = 10
2x + 4y = 12
FINAL: | 2.28237 | 2.28237 |
linear_system | 2 | sinusoid | 2.5 | 16 | 240 | 49 | 3.75 | Solve this system for x:
3.7499999999999942x + 1y = 10
2x + 4y = 12
FINAL: | 2.153846 | 2.153846 |
linear_system | 2 | sinusoid | 2.5 | 16 | 240 | 50 | 4.433013 | Solve this system for x:
4.433012701892218x + 1y = 10
2x + 4y = 12
FINAL: | 1.779806 | 1.779806 |
linear_system | 2 | sinusoid | 2.5 | 16 | 240 | 51 | 4.25 | Solve this system for x:
4.250000000000004x + 1y = 10
2x + 4y = 12
FINAL: | 1.866667 | 1.866667 |
linear_system | 2 | sinusoid | 2.5 | 16 | 240 | 52 | 3.566987 | Solve this system for x:
3.566987298107781x + 1y = 10
2x + 4y = 12
FINAL: | 2.28237 | 2.28237 |
linear_system | 2 | sinusoid | 2.5 | 16 | 240 | 53 | 3.75 | Solve this system for x:
3.7499999999999973x + 1y = 10
2x + 4y = 12
FINAL: | 2.153846 | 2.153846 |
linear_system | 2 | sinusoid | 2.5 | 16 | 240 | 54 | 4.433013 | Solve this system for x:
4.433012701892216x + 1y = 10
2x + 4y = 12
FINAL: | 1.779806 | 1.779806 |
linear_system | 2 | sinusoid | 2.5 | 16 | 240 | 55 | 4.25 | Solve this system for x:
4.250000000000001x + 1y = 10
2x + 4y = 12
FINAL: | 1.866667 | 1.866667 |
linear_system | 2 | sinusoid | 2.5 | 16 | 240 | 56 | 3.566987 | Solve this system for x:
3.5669872981077826x + 1y = 10
2x + 4y = 12
FINAL: | 2.28237 | 2.28237 |
linear_system | 2 | sinusoid | 2.5 | 16 | 240 | 57 | 3.75 | Solve this system for x:
3.7499999999999942x + 1y = 10
2x + 4y = 12
FINAL: | 2.153846 | 2.153846 |
linear_system | 2 | sinusoid | 2.5 | 16 | 240 | 58 | 4.433013 | Solve this system for x:
4.433012701892218x + 1y = 10
2x + 4y = 12
FINAL: | 1.779806 | 1.779806 |
linear_system | 2 | sinusoid | 2.5 | 16 | 240 | 59 | 4.25 | Solve this system for x:
4.250000000000004x + 1y = 10
2x + 4y = 12
FINAL: | 1.866667 | 1.866667 |
linear_system | 2 | sinusoid | 2.5 | 16 | 240 | 60 | 3.566987 | Solve this system for x:
3.566987298107785x + 1y = 10
2x + 4y = 12
FINAL: | 2.28237 | 2.28237 |
linear_system | 2 | sinusoid | 2.5 | 16 | 240 | 61 | 3.75 | Solve this system for x:
3.749999999999997x + 1y = 10
2x + 4y = 12
FINAL: | 2.153846 | 2.153846 |
linear_system | 2 | sinusoid | 2.5 | 16 | 240 | 62 | 4.433013 | Solve this system for x:
4.433012701892216x + 1y = 10
2x + 4y = 12
FINAL: | 1.779806 | 1.779806 |
linear_system | 2 | sinusoid | 2.5 | 16 | 240 | 63 | 4.25 | Solve this system for x:
4.250000000000002x + 1y = 10
2x + 4y = 12
FINAL: | 1.866667 | 1.866667 |
linear_system | 0 | chirp | 1 | 1 | null | 0 | 4 | Solve this system for x:
4.0x + 1y = 7
1x + 5y = 11
FINAL: | 1.263158 | 1.263158 |
linear_system | 0 | chirp | 1 | 1.058594 | null | 1 | 4.036608 | Solve this system for x:
4.036607977591028x + 1y = 7
1x + 5y = 11
FINAL: | 1.251105 | 1.251105 |
linear_system | 0 | chirp | 1 | 1.117188 | null | 2 | 4.134312 | Solve this system for x:
4.134311790969403x + 1y = 7
1x + 5y = 11
FINAL: | 1.220035 | 1.220035 |
linear_system | 0 | chirp | 1 | 1.175781 | null | 3 | 4.199263 | Solve this system for x:
4.199262522436555x + 1y = 7
1x + 5y = 11
FINAL: | 1.200221 | 1.200221 |
linear_system | 0 | chirp | 1 | 1.234375 | null | 4 | 4.039018 | Solve this system for x:
4.039018064403225x + 1y = 7
1x + 5y = 11
FINAL: | 1.25032 | 1.25032 |
linear_system | 0 | chirp | 1 | 1.292969 | null | 5 | 3.801219 | Solve this system for x:
3.8012186059995288x + 1y = 7
1x + 5y = 11
FINAL: | 1.332882 | 1.332882 |
linear_system | 0 | chirp | 1 | 1.351563 | null | 6 | 4.067378 | Solve this system for x:
4.067377970678444x + 1y = 7
1x + 5y = 11
FINAL: | 1.241151 | 1.241151 |
linear_system | 0 | chirp | 1 | 1.410156 | null | 7 | 4.078798 | Solve this system for x:
4.078798408012211x + 1y = 7
1x + 5y = 11
FINAL: | 1.237497 | 1.237497 |
linear_system | 0 | chirp | 1 | 1.46875 | null | 8 | 3.858579 | Solve this system for x:
3.8585786437626903x + 1y = 7
1x + 5y = 11
FINAL: | 1.311985 | 1.311985 |
linear_system | 0 | chirp | 1 | 1.527344 | null | 9 | 4.143146 | Solve this system for x:
4.143146165056764x + 1y = 7
1x + 5y = 11
FINAL: | 1.217302 | 1.217302 |
linear_system | 0 | chirp | 1 | 1.585938 | null | 10 | 3.914489 | Solve this system for x:
3.9144889813139434x + 1y = 7
1x + 5y = 11
FINAL: | 1.292237 | 1.292237 |
linear_system | 0 | chirp | 1 | 1.644531 | null | 11 | 3.944296 | Solve this system for x:
3.9442960621229903x + 1y = 7
1x + 5y = 11
FINAL: | 1.28195 | 1.28195 |
linear_system | 0 | chirp | 1 | 1.703125 | null | 12 | 4.196157 | Solve this system for x:
4.196157056080646x + 1y = 7
1x + 5y = 11
FINAL: | 1.201154 | 1.201154 |
linear_system | 0 | chirp | 1 | 1.761719 | null | 13 | 3.939599 | Solve this system for x:
3.9395988101361543x + 1y = 7
1x + 5y = 11
FINAL: | 1.28356 | 1.28356 |
linear_system | 0 | chirp | 1 | 1.820313 | null | 14 | 3.800241 | Solve this system for x:
3.8002409087589655x + 1y = 7
1x + 5y = 11
FINAL: | 1.333244 | 1.333244 |
linear_system | 0 | chirp | 1 | 1.878906 | null | 15 | 3.890935 | Solve this system for x:
3.890935002315593x + 1y = 7
1x + 5y = 11
FINAL: | 1.300483 | 1.300483 |
linear_system | 0 | chirp | 1 | 1.9375 | null | 16 | 4 | Solve this system for x:
3.999999999999999x + 1y = 7
1x + 5y = 11
FINAL: | 1.263158 | 1.263158 |
linear_system | 0 | chirp | 1 | 1.996094 | null | 17 | 4.041422 | Solve this system for x:
4.041422275238446x + 1y = 7
1x + 5y = 11
FINAL: | 1.249537 | 1.249537 |
linear_system | 0 | chirp | 1 | 2.054688 | null | 18 | 4.009814 | Solve this system for x:
4.009813534865484x + 1y = 7
1x + 5y = 11
FINAL: | 1.259904 | 1.259904 |
linear_system | 0 | chirp | 1 | 2.113281 | null | 19 | 3.907892 | Solve this system for x:
3.9078922578083515x + 1y = 7
1x + 5y = 11
FINAL: | 1.294536 | 1.294536 |
linear_system | 0 | chirp | 1 | 2.171875 | null | 20 | 3.803843 | Solve this system for x:
3.8038429439193537x + 1y = 7
1x + 5y = 11
FINAL: | 1.331912 | 1.331912 |
linear_system | 0 | chirp | 1 | 2.230469 | null | 21 | 3.903563 | Solve this system for x:
3.903563245584176x + 1y = 7
1x + 5y = 11
FINAL: | 1.296049 | 1.296049 |
linear_system | 0 | chirp | 1 | 2.289063 | null | 22 | 4.180798 | Solve this system for x:
4.180797858624688x + 1y = 7
1x + 5y = 11
FINAL: | 1.205788 | 1.205788 |
linear_system | 0 | chirp | 1 | 2.347656 | null | 23 | 4.002454 | Solve this system for x:
4.002454307657147x + 1y = 7
1x + 5y = 11
FINAL: | 1.262343 | 1.262343 |
linear_system | 0 | chirp | 1 | 2.40625 | null | 24 | 3.858579 | Solve this system for x:
3.8585786437626903x + 1y = 7
1x + 5y = 11
FINAL: | 1.311985 | 1.311985 |
linear_system | 0 | chirp | 1 | 2.464844 | null | 25 | 4.185701 | Solve this system for x:
4.185701216094644x + 1y = 7
1x + 5y = 11
FINAL: | 1.204305 | 1.204305 |
linear_system | 0 | chirp | 1 | 2.523438 | null | 26 | 3.811691 | Solve this system for x:
3.811691186963395x + 1y = 7
1x + 5y = 11
FINAL: | 1.329017 | 1.329017 |
linear_system | 0 | chirp | 1 | 2.582031 | null | 27 | 4.156147 | Solve this system for x:
4.156147445714423x + 1y = 7
1x + 5y = 11
FINAL: | 1.213302 | 1.213302 |
linear_system | 0 | chirp | 1 | 2.640625 | null | 28 | 3.960982 | Solve this system for x:
3.9609819355967666x + 1y = 7
1x + 5y = 11
FINAL: | 1.276262 | 1.276262 |
linear_system | 0 | chirp | 1 | 2.699219 | null | 29 | 3.846967 | Solve this system for x:
3.8469665468755103x + 1y = 7
1x + 5y = 11
FINAL: | 1.316162 | 1.316162 |
linear_system | 0 | chirp | 1 | 2.757813 | null | 30 | 4.14819 | Solve this system for x:
4.148190225070995x + 1y = 7
1x + 5y = 11
FINAL: | 1.215747 | 1.215747 |
linear_system | 0 | chirp | 1 | 2.816406 | null | 31 | 4.164918 | Solve this system for x:
4.164917860557003x + 1y = 7
1x + 5y = 11
FINAL: | 1.210618 | 1.210618 |
linear_system | 0 | chirp | 1 | 2.875 | null | 32 | 4 | Solve this system for x:
3.9999999999999942x + 1y = 7
1x + 5y = 11
FINAL: | 1.263158 | 1.263158 |
linear_system | 0 | chirp | 1 | 2.933594 | null | 33 | 3.886854 | Solve this system for x:
3.8868536378432736x + 1y = 7
1x + 5y = 11
FINAL: | 1.301923 | 1.301923 |
linear_system | 0 | chirp | 1 | 2.992188 | null | 34 | 3.85181 | Solve this system for x:
3.8518097749290092x + 1y = 7
1x + 5y = 11
FINAL: | 1.314417 | 1.314417 |
linear_system | 0 | chirp | 1 | 3.050781 | null | 35 | 3.871234 | Solve this system for x:
3.871233691422043x + 1y = 7
1x + 5y = 11
FINAL: | 1.307462 | 1.307462 |
linear_system | 0 | chirp | 1 | 3.109375 | null | 36 | 3.960982 | Solve this system for x:
3.9609819355967697x + 1y = 7
1x + 5y = 11
FINAL: | 1.276262 | 1.276262 |
linear_system | 0 | chirp | 1 | 3.167969 | null | 37 | 4.124972 | Solve this system for x:
4.124971897628472x + 1y = 7
1x + 5y = 11
FINAL: | 1.222939 | 1.222939 |
linear_system | 0 | chirp | 1 | 3.226563 | null | 38 | 4.188309 | Solve this system for x:
4.188308813036605x + 1y = 7
1x + 5y = 11
FINAL: | 1.203518 | 1.203518 |
linear_system | 0 | chirp | 1 | 3.285156 | null | 39 | 3.925737 | Solve this system for x:
3.925736561209639x + 1y = 7
1x + 5y = 11
FINAL: | 1.288336 | 1.288336 |
linear_system | 0 | chirp | 1 | 3.34375 | null | 40 | 3.858579 | Solve this system for x:
3.8585786437626868x + 1y = 7
1x + 5y = 11
FINAL: | 1.311985 | 1.311985 |
linear_system | 0 | chirp | 1 | 3.402344 | null | 41 | 4.199985 | Solve this system for x:
4.199984940367829x + 1y = 7
1x + 5y = 11
FINAL: | 1.200005 | 1.200005 |
linear_system | 0 | chirp | 1 | 3.460938 | null | 42 | 3.819202 | Solve this system for x:
3.8192021413753108x + 1y = 7
1x + 5y = 11
FINAL: | 1.326259 | 1.326259 |
linear_system | 0 | chirp | 1 | 3.519531 | null | 43 | 4.175214 | Solve this system for x:
4.1752140188390845x + 1y = 7
1x + 5y = 11
FINAL: | 1.207482 | 1.207482 |
linear_system | 0 | chirp | 1 | 3.578125 | null | 44 | 3.803843 | Solve this system for x:
3.803842943919353x + 1y = 7
1x + 5y = 11
FINAL: | 1.331912 | 1.331912 |
linear_system | 0 | chirp | 1 | 3.636719 | null | 45 | 4.177528 | Solve this system for x:
4.1775279240805725x + 1y = 7
1x + 5y = 11
FINAL: | 1.20678 | 1.20678 |
linear_system | 0 | chirp | 1 | 3.695313 | null | 46 | 3.990186 | Solve this system for x:
3.9901864651345216x + 1y = 7
1x + 5y = 11
FINAL: | 1.266428 | 1.266428 |
linear_system | 0 | chirp | 1 | 3.753906 | null | 47 | 3.804337 | Solve this system for x:
3.804336525856078x + 1y = 7
1x + 5y = 11
FINAL: | 1.331729 | 1.331729 |
linear_system | 0 | chirp | 1 | 3.8125 | null | 48 | 4 | Solve this system for x:
3.999999999999998x + 1y = 7
1x + 5y = 11
FINAL: | 1.263158 | 1.263158 |
linear_system | 0 | chirp | 1 | 3.871094 | null | 49 | 4.167645 | Solve this system for x:
4.167644941110972x + 1y = 7
1x + 5y = 11
FINAL: | 1.209786 | 1.209786 |
linear_system | 0 | chirp | 1 | 3.929688 | null | 50 | 4.199759 | Solve this system for x:
4.1997590912410345x + 1y = 7
1x + 5y = 11
FINAL: | 1.200072 | 1.200072 |
linear_system | 0 | chirp | 1 | 3.988281 | null | 51 | 4.190661 | Solve this system for x:
4.190661208070837x + 1y = 7
1x + 5y = 11
FINAL: | 1.202808 | 1.202808 |
linear_system | 0 | chirp | 1 | 4.046875 | null | 52 | 4.196157 | Solve this system for x:
4.196157056080644x + 1y = 7
1x + 5y = 11
FINAL: | 1.201154 | 1.201154 |
linear_system | 0 | chirp | 1 | 4.105469 | null | 53 | 4.192086 | Solve this system for x:
4.192086103883114x + 1y = 7
1x + 5y = 11
FINAL: | 1.202379 | 1.202379 |
linear_system | 0 | chirp | 1 | 4.164063 | null | 54 | 4.085511 | Solve this system for x:
4.085511018686058x + 1y = 7
1x + 5y = 11
FINAL: | 1.235359 | 1.235359 |
linear_system | 0 | chirp | 1 | 4.222656 | null | 55 | 3.860325 | Solve this system for x:
3.8603247501182105x + 1y = 7
1x + 5y = 11
FINAL: | 1.311359 | 1.311359 |
linear_system | 0 | chirp | 1 | 4.28125 | null | 56 | 3.858579 | Solve this system for x:
3.858578643762678x + 1y = 7
1x + 5y = 11
FINAL: | 1.311985 | 1.311985 |
linear_system | 0 | chirp | 1 | 4.339844 | null | 57 | 4.183823 | Solve this system for x:
4.183822770338007x + 1y = 7
1x + 5y = 11
FINAL: | 1.204873 | 1.204873 |
linear_system | 0 | chirp | 1 | 4.398438 | null | 58 | 3.932622 | Solve this system for x:
3.932622029321569x + 1y = 7
1x + 5y = 11
FINAL: | 1.285959 | 1.285959 |
linear_system | 0 | chirp | 1 | 4.457031 | null | 59 | 3.977956 | Solve this system for x:
3.9779555585412245x + 1y = 7
1x + 5y = 11
FINAL: | 1.270528 | 1.270528 |
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