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 | 1 | 1 | 0 | 0 | 4 | Solve this system for x:
4.0x + 1y = 10
2x + 4y = 12
FINAL: | 2 | 2 |
linear_system | 2 | sinusoid | 1 | 1 | 0 | 1 | 4.019603 | Solve this system for x:
4.0196034280659125x + 1y = 10
2x + 4y = 12
FINAL: | 1.98886 | 1.98886 |
linear_system | 2 | sinusoid | 1 | 1 | 0 | 2 | 4.039018 | Solve this system for x:
4.039018064403225x + 1y = 10
2x + 4y = 12
FINAL: | 1.97795 | 1.97795 |
linear_system | 2 | sinusoid | 1 | 1 | 0 | 3 | 4.058057 | Solve this system for x:
4.058056935450892x + 1y = 10
2x + 4y = 12
FINAL: | 1.967366 | 1.967366 |
linear_system | 2 | sinusoid | 1 | 1 | 0 | 4 | 4.076537 | Solve this system for x:
4.076536686473018x + 1y = 10
2x + 4y = 12
FINAL: | 1.957201 | 1.957201 |
linear_system | 2 | sinusoid | 1 | 1 | 0 | 5 | 4.094279 | Solve this system for x:
4.0942793473652x + 1y = 10
2x + 4y = 12
FINAL: | 1.947539 | 1.947539 |
linear_system | 2 | sinusoid | 1 | 1 | 0 | 6 | 4.111114 | Solve this system for x:
4.11111404660392x + 1y = 10
2x + 4y = 12
FINAL: | 1.93846 | 1.93846 |
linear_system | 2 | sinusoid | 1 | 1 | 0 | 7 | 4.126879 | Solve this system for x:
4.126878656832729x + 1y = 10
2x + 4y = 12
FINAL: | 1.930034 | 1.930034 |
linear_system | 2 | sinusoid | 1 | 1 | 0 | 8 | 4.141421 | Solve this system for x:
4.141421356237309x + 1y = 10
2x + 4y = 12
FINAL: | 1.922326 | 1.922326 |
linear_system | 2 | sinusoid | 1 | 1 | 0 | 9 | 4.154602 | Solve this system for x:
4.154602090672547x + 1y = 10
2x + 4y = 12
FINAL: | 1.915393 | 1.915393 |
linear_system | 2 | sinusoid | 1 | 1 | 0 | 10 | 4.166294 | Solve this system for x:
4.166293922460509x + 1y = 10
2x + 4y = 12
FINAL: | 1.909285 | 1.909285 |
linear_system | 2 | sinusoid | 1 | 1 | 0 | 11 | 4.176384 | Solve this system for x:
4.176384252869671x + 1y = 10
2x + 4y = 12
FINAL: | 1.904045 | 1.904045 |
linear_system | 2 | sinusoid | 1 | 1 | 0 | 12 | 4.184776 | Solve this system for x:
4.184775906502257x + 1y = 10
2x + 4y = 12
FINAL: | 1.899708 | 1.899708 |
linear_system | 2 | sinusoid | 1 | 1 | 0 | 13 | 4.191388 | Solve this system for x:
4.191388067146442x + 1y = 10
2x + 4y = 12
FINAL: | 1.896306 | 1.896306 |
linear_system | 2 | sinusoid | 1 | 1 | 0 | 14 | 4.196157 | Solve this system for x:
4.196157056080646x + 1y = 10
2x + 4y = 12
FINAL: | 1.893859 | 1.893859 |
linear_system | 2 | sinusoid | 1 | 1 | 0 | 15 | 4.199037 | Solve this system for x:
4.19903694533444x + 1y = 10
2x + 4y = 12
FINAL: | 1.892384 | 1.892384 |
linear_system | 2 | sinusoid | 1 | 1 | 0 | 16 | 4.2 | Solve this system for x:
4.2x + 1y = 10
2x + 4y = 12
FINAL: | 1.891892 | 1.891892 |
linear_system | 2 | sinusoid | 1 | 1 | 0 | 17 | 4.199037 | Solve this system for x:
4.19903694533444x + 1y = 10
2x + 4y = 12
FINAL: | 1.892384 | 1.892384 |
linear_system | 2 | sinusoid | 1 | 1 | 0 | 18 | 4.196157 | Solve this system for x:
4.196157056080646x + 1y = 10
2x + 4y = 12
FINAL: | 1.893859 | 1.893859 |
linear_system | 2 | sinusoid | 1 | 1 | 0 | 19 | 4.191388 | Solve this system for x:
4.191388067146442x + 1y = 10
2x + 4y = 12
FINAL: | 1.896306 | 1.896306 |
linear_system | 2 | sinusoid | 1 | 1 | 0 | 20 | 4.184776 | Solve this system for x:
4.184775906502257x + 1y = 10
2x + 4y = 12
FINAL: | 1.899708 | 1.899708 |
linear_system | 2 | sinusoid | 1 | 1 | 0 | 21 | 4.176384 | Solve this system for x:
4.176384252869671x + 1y = 10
2x + 4y = 12
FINAL: | 1.904045 | 1.904045 |
linear_system | 2 | sinusoid | 1 | 1 | 0 | 22 | 4.166294 | Solve this system for x:
4.166293922460509x + 1y = 10
2x + 4y = 12
FINAL: | 1.909285 | 1.909285 |
linear_system | 2 | sinusoid | 1 | 1 | 0 | 23 | 4.154602 | Solve this system for x:
4.154602090672547x + 1y = 10
2x + 4y = 12
FINAL: | 1.915393 | 1.915393 |
linear_system | 2 | sinusoid | 1 | 1 | 0 | 24 | 4.141421 | Solve this system for x:
4.141421356237309x + 1y = 10
2x + 4y = 12
FINAL: | 1.922326 | 1.922326 |
linear_system | 2 | sinusoid | 1 | 1 | 0 | 25 | 4.126879 | Solve this system for x:
4.126878656832729x + 1y = 10
2x + 4y = 12
FINAL: | 1.930034 | 1.930034 |
linear_system | 2 | sinusoid | 1 | 1 | 0 | 26 | 4.111114 | Solve this system for x:
4.11111404660392x + 1y = 10
2x + 4y = 12
FINAL: | 1.93846 | 1.93846 |
linear_system | 2 | sinusoid | 1 | 1 | 0 | 27 | 4.094279 | Solve this system for x:
4.0942793473652x + 1y = 10
2x + 4y = 12
FINAL: | 1.947539 | 1.947539 |
linear_system | 2 | sinusoid | 1 | 1 | 0 | 28 | 4.076537 | Solve this system for x:
4.076536686473018x + 1y = 10
2x + 4y = 12
FINAL: | 1.957201 | 1.957201 |
linear_system | 2 | sinusoid | 1 | 1 | 0 | 29 | 4.058057 | Solve this system for x:
4.058056935450892x + 1y = 10
2x + 4y = 12
FINAL: | 1.967366 | 1.967366 |
linear_system | 2 | sinusoid | 1 | 1 | 0 | 30 | 4.039018 | Solve this system for x:
4.039018064403225x + 1y = 10
2x + 4y = 12
FINAL: | 1.97795 | 1.97795 |
linear_system | 2 | sinusoid | 1 | 1 | 0 | 31 | 4.019603 | Solve this system for x:
4.0196034280659125x + 1y = 10
2x + 4y = 12
FINAL: | 1.98886 | 1.98886 |
linear_system | 2 | sinusoid | 1 | 1 | 0 | 32 | 4 | Solve this system for x:
4.0x + 1y = 10
2x + 4y = 12
FINAL: | 2 | 2 |
linear_system | 2 | sinusoid | 1 | 1 | 0 | 33 | 3.980397 | Solve this system for x:
3.980396571934088x + 1y = 10
2x + 4y = 12
FINAL: | 2.011265 | 2.011265 |
linear_system | 2 | sinusoid | 1 | 1 | 0 | 34 | 3.960982 | Solve this system for x:
3.960981935596774x + 1y = 10
2x + 4y = 12
FINAL: | 2.022547 | 2.022547 |
linear_system | 2 | sinusoid | 1 | 1 | 0 | 35 | 3.941943 | Solve this system for x:
3.9419430645491076x + 1y = 10
2x + 4y = 12
FINAL: | 2.033735 | 2.033735 |
linear_system | 2 | sinusoid | 1 | 1 | 0 | 36 | 3.923463 | Solve this system for x:
3.923463313526982x + 1y = 10
2x + 4y = 12
FINAL: | 2.044713 | 2.044713 |
linear_system | 2 | sinusoid | 1 | 1 | 0 | 37 | 3.905721 | Solve this system for x:
3.9057206526348005x + 1y = 10
2x + 4y = 12
FINAL: | 2.055365 | 2.055365 |
linear_system | 2 | sinusoid | 1 | 1 | 0 | 38 | 3.888886 | Solve this system for x:
3.8888859533960796x + 1y = 10
2x + 4y = 12
FINAL: | 2.065576 | 2.065576 |
linear_system | 2 | sinusoid | 1 | 1 | 0 | 39 | 3.873121 | Solve this system for x:
3.873121343167271x + 1y = 10
2x + 4y = 12
FINAL: | 2.075229 | 2.075229 |
linear_system | 2 | sinusoid | 1 | 1 | 0 | 40 | 3.858579 | Solve this system for x:
3.8585786437626903x + 1y = 10
2x + 4y = 12
FINAL: | 2.084215 | 2.084215 |
linear_system | 2 | sinusoid | 1 | 1 | 0 | 41 | 3.845398 | Solve this system for x:
3.8453979093274526x + 1y = 10
2x + 4y = 12
FINAL: | 2.092427 | 2.092427 |
linear_system | 2 | sinusoid | 1 | 1 | 0 | 42 | 3.833706 | Solve this system for x:
3.833706077539491x + 1y = 10
2x + 4y = 12
FINAL: | 2.099765 | 2.099765 |
linear_system | 2 | sinusoid | 1 | 1 | 0 | 43 | 3.823616 | Solve this system for x:
3.823615747130329x + 1y = 10
2x + 4y = 12
FINAL: | 2.10614 | 2.10614 |
linear_system | 2 | sinusoid | 1 | 1 | 0 | 44 | 3.815224 | Solve this system for x:
3.8152240934977426x + 1y = 10
2x + 4y = 12
FINAL: | 2.111471 | 2.111471 |
linear_system | 2 | sinusoid | 1 | 1 | 0 | 45 | 3.808612 | Solve this system for x:
3.8086119328535584x + 1y = 10
2x + 4y = 12
FINAL: | 2.115691 | 2.115691 |
linear_system | 2 | sinusoid | 1 | 1 | 0 | 46 | 3.803843 | Solve this system for x:
3.8038429439193537x + 1y = 10
2x + 4y = 12
FINAL: | 2.118745 | 2.118745 |
linear_system | 2 | sinusoid | 1 | 1 | 0 | 47 | 3.800963 | Solve this system for x:
3.8009630546655604x + 1y = 10
2x + 4y = 12
FINAL: | 2.120593 | 2.120593 |
linear_system | 2 | sinusoid | 1 | 1 | 0 | 48 | 3.8 | Solve this system for x:
3.8x + 1y = 10
2x + 4y = 12
FINAL: | 2.121212 | 2.121212 |
linear_system | 2 | sinusoid | 1 | 1 | 0 | 49 | 3.800963 | Solve this system for x:
3.8009630546655604x + 1y = 10
2x + 4y = 12
FINAL: | 2.120593 | 2.120593 |
linear_system | 2 | sinusoid | 1 | 1 | 0 | 50 | 3.803843 | Solve this system for x:
3.8038429439193537x + 1y = 10
2x + 4y = 12
FINAL: | 2.118745 | 2.118745 |
linear_system | 2 | sinusoid | 1 | 1 | 0 | 51 | 3.808612 | Solve this system for x:
3.8086119328535584x + 1y = 10
2x + 4y = 12
FINAL: | 2.115691 | 2.115691 |
linear_system | 2 | sinusoid | 1 | 1 | 0 | 52 | 3.815224 | Solve this system for x:
3.8152240934977426x + 1y = 10
2x + 4y = 12
FINAL: | 2.111471 | 2.111471 |
linear_system | 2 | sinusoid | 1 | 1 | 0 | 53 | 3.823616 | Solve this system for x:
3.823615747130329x + 1y = 10
2x + 4y = 12
FINAL: | 2.10614 | 2.10614 |
linear_system | 2 | sinusoid | 1 | 1 | 0 | 54 | 3.833706 | Solve this system for x:
3.8337060775394907x + 1y = 10
2x + 4y = 12
FINAL: | 2.099765 | 2.099765 |
linear_system | 2 | sinusoid | 1 | 1 | 0 | 55 | 3.845398 | Solve this system for x:
3.8453979093274526x + 1y = 10
2x + 4y = 12
FINAL: | 2.092427 | 2.092427 |
linear_system | 2 | sinusoid | 1 | 1 | 0 | 56 | 3.858579 | Solve this system for x:
3.8585786437626903x + 1y = 10
2x + 4y = 12
FINAL: | 2.084215 | 2.084215 |
linear_system | 2 | sinusoid | 1 | 1 | 0 | 57 | 3.873121 | Solve this system for x:
3.873121343167271x + 1y = 10
2x + 4y = 12
FINAL: | 2.075229 | 2.075229 |
linear_system | 2 | sinusoid | 1 | 1 | 0 | 58 | 3.888886 | Solve this system for x:
3.8888859533960796x + 1y = 10
2x + 4y = 12
FINAL: | 2.065576 | 2.065576 |
linear_system | 2 | sinusoid | 1 | 1 | 0 | 59 | 3.905721 | Solve this system for x:
3.9057206526348005x + 1y = 10
2x + 4y = 12
FINAL: | 2.055365 | 2.055365 |
linear_system | 2 | sinusoid | 1 | 1 | 0 | 60 | 3.923463 | Solve this system for x:
3.923463313526982x + 1y = 10
2x + 4y = 12
FINAL: | 2.044713 | 2.044713 |
linear_system | 2 | sinusoid | 1 | 1 | 0 | 61 | 3.941943 | Solve this system for x:
3.9419430645491076x + 1y = 10
2x + 4y = 12
FINAL: | 2.033735 | 2.033735 |
linear_system | 2 | sinusoid | 1 | 1 | 0 | 62 | 3.960982 | Solve this system for x:
3.960981935596774x + 1y = 10
2x + 4y = 12
FINAL: | 2.022547 | 2.022547 |
linear_system | 2 | sinusoid | 1 | 1 | 0 | 63 | 3.980397 | Solve this system for x:
3.980396571934088x + 1y = 10
2x + 4y = 12
FINAL: | 2.011265 | 2.011265 |
linear_system | 2 | sinusoid | 1 | 2 | 0 | 0 | 4 | Solve this system for x:
4.0x + 1y = 10
2x + 4y = 12
FINAL: | 2 | 2 |
linear_system | 2 | sinusoid | 1 | 2 | 0 | 1 | 4.039018 | Solve this system for x:
4.039018064403225x + 1y = 10
2x + 4y = 12
FINAL: | 1.97795 | 1.97795 |
linear_system | 2 | sinusoid | 1 | 2 | 0 | 2 | 4.076537 | Solve this system for x:
4.076536686473018x + 1y = 10
2x + 4y = 12
FINAL: | 1.957201 | 1.957201 |
linear_system | 2 | sinusoid | 1 | 2 | 0 | 3 | 4.111114 | Solve this system for x:
4.11111404660392x + 1y = 10
2x + 4y = 12
FINAL: | 1.93846 | 1.93846 |
linear_system | 2 | sinusoid | 1 | 2 | 0 | 4 | 4.141421 | Solve this system for x:
4.141421356237309x + 1y = 10
2x + 4y = 12
FINAL: | 1.922326 | 1.922326 |
linear_system | 2 | sinusoid | 1 | 2 | 0 | 5 | 4.166294 | Solve this system for x:
4.166293922460509x + 1y = 10
2x + 4y = 12
FINAL: | 1.909285 | 1.909285 |
linear_system | 2 | sinusoid | 1 | 2 | 0 | 6 | 4.184776 | Solve this system for x:
4.184775906502257x + 1y = 10
2x + 4y = 12
FINAL: | 1.899708 | 1.899708 |
linear_system | 2 | sinusoid | 1 | 2 | 0 | 7 | 4.196157 | Solve this system for x:
4.196157056080646x + 1y = 10
2x + 4y = 12
FINAL: | 1.893859 | 1.893859 |
linear_system | 2 | sinusoid | 1 | 2 | 0 | 8 | 4.2 | Solve this system for x:
4.2x + 1y = 10
2x + 4y = 12
FINAL: | 1.891892 | 1.891892 |
linear_system | 2 | sinusoid | 1 | 2 | 0 | 9 | 4.196157 | Solve this system for x:
4.196157056080646x + 1y = 10
2x + 4y = 12
FINAL: | 1.893859 | 1.893859 |
linear_system | 2 | sinusoid | 1 | 2 | 0 | 10 | 4.184776 | Solve this system for x:
4.184775906502257x + 1y = 10
2x + 4y = 12
FINAL: | 1.899708 | 1.899708 |
linear_system | 2 | sinusoid | 1 | 2 | 0 | 11 | 4.166294 | Solve this system for x:
4.166293922460509x + 1y = 10
2x + 4y = 12
FINAL: | 1.909285 | 1.909285 |
linear_system | 2 | sinusoid | 1 | 2 | 0 | 12 | 4.141421 | Solve this system for x:
4.141421356237309x + 1y = 10
2x + 4y = 12
FINAL: | 1.922326 | 1.922326 |
linear_system | 2 | sinusoid | 1 | 2 | 0 | 13 | 4.111114 | Solve this system for x:
4.11111404660392x + 1y = 10
2x + 4y = 12
FINAL: | 1.93846 | 1.93846 |
linear_system | 2 | sinusoid | 1 | 2 | 0 | 14 | 4.076537 | Solve this system for x:
4.076536686473018x + 1y = 10
2x + 4y = 12
FINAL: | 1.957201 | 1.957201 |
linear_system | 2 | sinusoid | 1 | 2 | 0 | 15 | 4.039018 | Solve this system for x:
4.039018064403225x + 1y = 10
2x + 4y = 12
FINAL: | 1.97795 | 1.97795 |
linear_system | 2 | sinusoid | 1 | 2 | 0 | 16 | 4 | Solve this system for x:
4.0x + 1y = 10
2x + 4y = 12
FINAL: | 2 | 2 |
linear_system | 2 | sinusoid | 1 | 2 | 0 | 17 | 3.960982 | Solve this system for x:
3.960981935596774x + 1y = 10
2x + 4y = 12
FINAL: | 2.022547 | 2.022547 |
linear_system | 2 | sinusoid | 1 | 2 | 0 | 18 | 3.923463 | Solve this system for x:
3.923463313526982x + 1y = 10
2x + 4y = 12
FINAL: | 2.044713 | 2.044713 |
linear_system | 2 | sinusoid | 1 | 2 | 0 | 19 | 3.888886 | Solve this system for x:
3.8888859533960796x + 1y = 10
2x + 4y = 12
FINAL: | 2.065576 | 2.065576 |
linear_system | 2 | sinusoid | 1 | 2 | 0 | 20 | 3.858579 | Solve this system for x:
3.8585786437626903x + 1y = 10
2x + 4y = 12
FINAL: | 2.084215 | 2.084215 |
linear_system | 2 | sinusoid | 1 | 2 | 0 | 21 | 3.833706 | Solve this system for x:
3.833706077539491x + 1y = 10
2x + 4y = 12
FINAL: | 2.099765 | 2.099765 |
linear_system | 2 | sinusoid | 1 | 2 | 0 | 22 | 3.815224 | Solve this system for x:
3.8152240934977426x + 1y = 10
2x + 4y = 12
FINAL: | 2.111471 | 2.111471 |
linear_system | 2 | sinusoid | 1 | 2 | 0 | 23 | 3.803843 | Solve this system for x:
3.8038429439193537x + 1y = 10
2x + 4y = 12
FINAL: | 2.118745 | 2.118745 |
linear_system | 2 | sinusoid | 1 | 2 | 0 | 24 | 3.8 | Solve this system for x:
3.8x + 1y = 10
2x + 4y = 12
FINAL: | 2.121212 | 2.121212 |
linear_system | 2 | sinusoid | 1 | 2 | 0 | 25 | 3.803843 | Solve this system for x:
3.8038429439193537x + 1y = 10
2x + 4y = 12
FINAL: | 2.118745 | 2.118745 |
linear_system | 2 | sinusoid | 1 | 2 | 0 | 26 | 3.815224 | Solve this system for x:
3.8152240934977426x + 1y = 10
2x + 4y = 12
FINAL: | 2.111471 | 2.111471 |
linear_system | 2 | sinusoid | 1 | 2 | 0 | 27 | 3.833706 | Solve this system for x:
3.8337060775394907x + 1y = 10
2x + 4y = 12
FINAL: | 2.099765 | 2.099765 |
linear_system | 2 | sinusoid | 1 | 2 | 0 | 28 | 3.858579 | Solve this system for x:
3.8585786437626903x + 1y = 10
2x + 4y = 12
FINAL: | 2.084215 | 2.084215 |
linear_system | 2 | sinusoid | 1 | 2 | 0 | 29 | 3.888886 | Solve this system for x:
3.8888859533960796x + 1y = 10
2x + 4y = 12
FINAL: | 2.065576 | 2.065576 |
linear_system | 2 | sinusoid | 1 | 2 | 0 | 30 | 3.923463 | Solve this system for x:
3.923463313526982x + 1y = 10
2x + 4y = 12
FINAL: | 2.044713 | 2.044713 |
linear_system | 2 | sinusoid | 1 | 2 | 0 | 31 | 3.960982 | Solve this system for x:
3.960981935596774x + 1y = 10
2x + 4y = 12
FINAL: | 2.022547 | 2.022547 |
linear_system | 2 | sinusoid | 1 | 2 | 0 | 32 | 4 | Solve this system for x:
4.0x + 1y = 10
2x + 4y = 12
FINAL: | 2 | 2 |
linear_system | 2 | sinusoid | 1 | 2 | 0 | 33 | 4.039018 | Solve this system for x:
4.039018064403225x + 1y = 10
2x + 4y = 12
FINAL: | 1.97795 | 1.97795 |
linear_system | 2 | sinusoid | 1 | 2 | 0 | 34 | 4.076537 | Solve this system for x:
4.076536686473018x + 1y = 10
2x + 4y = 12
FINAL: | 1.957201 | 1.957201 |
linear_system | 2 | sinusoid | 1 | 2 | 0 | 35 | 4.111114 | Solve this system for x:
4.11111404660392x + 1y = 10
2x + 4y = 12
FINAL: | 1.93846 | 1.93846 |
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