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
|
sinusoid
| 1
| 4
| 240
| 52
| 3.9
|
Solve this system for x:
3.9x + 1y = 7
1x + 5y = 11
FINAL:
| 1.297297
| 1.297297
|
linear_system
| 0
|
sinusoid
| 1
| 4
| 240
| 53
| 3.973895
|
Solve this system for x:
3.9738947615559894x + 1y = 7
1x + 5y = 11
FINAL:
| 1.271896
| 1.271896
|
linear_system
| 0
|
sinusoid
| 1
| 4
| 240
| 54
| 4.051764
|
Solve this system for x:
4.051763809020503x + 1y = 7
1x + 5y = 11
FINAL:
| 1.246182
| 1.246182
|
linear_system
| 0
|
sinusoid
| 1
| 4
| 240
| 55
| 4.121752
|
Solve this system for x:
4.121752285801744x + 1y = 7
1x + 5y = 11
FINAL:
| 1.223943
| 1.223943
|
linear_system
| 0
|
sinusoid
| 1
| 4
| 240
| 56
| 4.173205
|
Solve this system for x:
4.173205080756888x + 1y = 7
1x + 5y = 11
FINAL:
| 1.208093
| 1.208093
|
linear_system
| 0
|
sinusoid
| 1
| 4
| 240
| 57
| 4.198289
|
Solve this system for x:
4.198288972274762x + 1y = 7
1x + 5y = 11
FINAL:
| 1.200514
| 1.200514
|
linear_system
| 0
|
sinusoid
| 1
| 4
| 240
| 58
| 4.193185
|
Solve this system for x:
4.193185165257813x + 1y = 7
1x + 5y = 11
FINAL:
| 1.202048
| 1.202048
|
linear_system
| 0
|
sinusoid
| 1
| 4
| 240
| 59
| 4.158671
|
Solve this system for x:
4.158670668058248x + 1y = 7
1x + 5y = 11
FINAL:
| 1.212528
| 1.212528
|
linear_system
| 0
|
sinusoid
| 1
| 4
| 240
| 60
| 4.1
|
Solve this system for x:
4.1000000000000005x + 1y = 7
1x + 5y = 11
FINAL:
| 1.230769
| 1.230769
|
linear_system
| 0
|
sinusoid
| 1
| 4
| 240
| 61
| 4.026105
|
Solve this system for x:
4.026105238444011x + 1y = 7
1x + 5y = 11
FINAL:
| 1.254539
| 1.254539
|
linear_system
| 0
|
sinusoid
| 1
| 4
| 240
| 62
| 3.948236
|
Solve this system for x:
3.9482361909794963x + 1y = 7
1x + 5y = 11
FINAL:
| 1.280602
| 1.280602
|
linear_system
| 0
|
sinusoid
| 1
| 4
| 240
| 63
| 3.878248
|
Solve this system for x:
3.878247714198256x + 1y = 7
1x + 5y = 11
FINAL:
| 1.304969
| 1.304969
|
linear_system
| 0
|
sinusoid
| 1
| 8
| 240
| 0
| 3.826795
|
Solve this system for x:
3.8267949192431123x + 1y = 7
1x + 5y = 11
FINAL:
| 1.323483
| 1.323483
|
linear_system
| 0
|
sinusoid
| 1
| 8
| 240
| 1
| 3.806815
|
Solve this system for x:
3.806814834742186x + 1y = 7
1x + 5y = 11
FINAL:
| 1.330814
| 1.330814
|
linear_system
| 0
|
sinusoid
| 1
| 8
| 240
| 2
| 3.9
|
Solve this system for x:
3.9x + 1y = 7
1x + 5y = 11
FINAL:
| 1.297297
| 1.297297
|
linear_system
| 0
|
sinusoid
| 1
| 8
| 240
| 3
| 4.051764
|
Solve this system for x:
4.051763809020504x + 1y = 7
1x + 5y = 11
FINAL:
| 1.246182
| 1.246182
|
linear_system
| 0
|
sinusoid
| 1
| 8
| 240
| 4
| 4.173205
|
Solve this system for x:
4.173205080756888x + 1y = 7
1x + 5y = 11
FINAL:
| 1.208093
| 1.208093
|
linear_system
| 0
|
sinusoid
| 1
| 8
| 240
| 5
| 4.193185
|
Solve this system for x:
4.193185165257813x + 1y = 7
1x + 5y = 11
FINAL:
| 1.202048
| 1.202048
|
linear_system
| 0
|
sinusoid
| 1
| 8
| 240
| 6
| 4.1
|
Solve this system for x:
4.1x + 1y = 7
1x + 5y = 11
FINAL:
| 1.230769
| 1.230769
|
linear_system
| 0
|
sinusoid
| 1
| 8
| 240
| 7
| 3.948236
|
Solve this system for x:
3.948236190979496x + 1y = 7
1x + 5y = 11
FINAL:
| 1.280602
| 1.280602
|
linear_system
| 0
|
sinusoid
| 1
| 8
| 240
| 8
| 3.826795
|
Solve this system for x:
3.8267949192431123x + 1y = 7
1x + 5y = 11
FINAL:
| 1.323483
| 1.323483
|
linear_system
| 0
|
sinusoid
| 1
| 8
| 240
| 9
| 3.806815
|
Solve this system for x:
3.806814834742186x + 1y = 7
1x + 5y = 11
FINAL:
| 1.330814
| 1.330814
|
linear_system
| 0
|
sinusoid
| 1
| 8
| 240
| 10
| 3.9
|
Solve this system for x:
3.9x + 1y = 7
1x + 5y = 11
FINAL:
| 1.297297
| 1.297297
|
linear_system
| 0
|
sinusoid
| 1
| 8
| 240
| 11
| 4.051764
|
Solve this system for x:
4.051763809020503x + 1y = 7
1x + 5y = 11
FINAL:
| 1.246182
| 1.246182
|
linear_system
| 0
|
sinusoid
| 1
| 8
| 240
| 12
| 4.173205
|
Solve this system for x:
4.173205080756888x + 1y = 7
1x + 5y = 11
FINAL:
| 1.208093
| 1.208093
|
linear_system
| 0
|
sinusoid
| 1
| 8
| 240
| 13
| 4.193185
|
Solve this system for x:
4.193185165257813x + 1y = 7
1x + 5y = 11
FINAL:
| 1.202048
| 1.202048
|
linear_system
| 0
|
sinusoid
| 1
| 8
| 240
| 14
| 4.1
|
Solve this system for x:
4.1x + 1y = 7
1x + 5y = 11
FINAL:
| 1.230769
| 1.230769
|
linear_system
| 0
|
sinusoid
| 1
| 8
| 240
| 15
| 3.948236
|
Solve this system for x:
3.9482361909794963x + 1y = 7
1x + 5y = 11
FINAL:
| 1.280602
| 1.280602
|
linear_system
| 0
|
sinusoid
| 1
| 8
| 240
| 16
| 3.826795
|
Solve this system for x:
3.8267949192431123x + 1y = 7
1x + 5y = 11
FINAL:
| 1.323483
| 1.323483
|
linear_system
| 0
|
sinusoid
| 1
| 8
| 240
| 17
| 3.806815
|
Solve this system for x:
3.806814834742186x + 1y = 7
1x + 5y = 11
FINAL:
| 1.330814
| 1.330814
|
linear_system
| 0
|
sinusoid
| 1
| 8
| 240
| 18
| 3.9
|
Solve this system for x:
3.9x + 1y = 7
1x + 5y = 11
FINAL:
| 1.297297
| 1.297297
|
linear_system
| 0
|
sinusoid
| 1
| 8
| 240
| 19
| 4.051764
|
Solve this system for x:
4.051763809020503x + 1y = 7
1x + 5y = 11
FINAL:
| 1.246182
| 1.246182
|
linear_system
| 0
|
sinusoid
| 1
| 8
| 240
| 20
| 4.173205
|
Solve this system for x:
4.173205080756888x + 1y = 7
1x + 5y = 11
FINAL:
| 1.208093
| 1.208093
|
linear_system
| 0
|
sinusoid
| 1
| 8
| 240
| 21
| 4.193185
|
Solve this system for x:
4.193185165257813x + 1y = 7
1x + 5y = 11
FINAL:
| 1.202048
| 1.202048
|
linear_system
| 0
|
sinusoid
| 1
| 8
| 240
| 22
| 4.1
|
Solve this system for x:
4.1000000000000005x + 1y = 7
1x + 5y = 11
FINAL:
| 1.230769
| 1.230769
|
linear_system
| 0
|
sinusoid
| 1
| 8
| 240
| 23
| 3.948236
|
Solve this system for x:
3.9482361909794963x + 1y = 7
1x + 5y = 11
FINAL:
| 1.280602
| 1.280602
|
linear_system
| 0
|
sinusoid
| 1
| 8
| 240
| 24
| 3.826795
|
Solve this system for x:
3.8267949192431123x + 1y = 7
1x + 5y = 11
FINAL:
| 1.323483
| 1.323483
|
linear_system
| 0
|
sinusoid
| 1
| 8
| 240
| 25
| 3.806815
|
Solve this system for x:
3.806814834742186x + 1y = 7
1x + 5y = 11
FINAL:
| 1.330814
| 1.330814
|
linear_system
| 0
|
sinusoid
| 1
| 8
| 240
| 26
| 3.9
|
Solve this system for x:
3.9x + 1y = 7
1x + 5y = 11
FINAL:
| 1.297297
| 1.297297
|
linear_system
| 0
|
sinusoid
| 1
| 8
| 240
| 27
| 4.051764
|
Solve this system for x:
4.051763809020503x + 1y = 7
1x + 5y = 11
FINAL:
| 1.246182
| 1.246182
|
linear_system
| 0
|
sinusoid
| 1
| 8
| 240
| 28
| 4.173205
|
Solve this system for x:
4.173205080756888x + 1y = 7
1x + 5y = 11
FINAL:
| 1.208093
| 1.208093
|
linear_system
| 0
|
sinusoid
| 1
| 8
| 240
| 29
| 4.193185
|
Solve this system for x:
4.193185165257813x + 1y = 7
1x + 5y = 11
FINAL:
| 1.202048
| 1.202048
|
linear_system
| 0
|
sinusoid
| 1
| 8
| 240
| 30
| 4.1
|
Solve this system for x:
4.1000000000000005x + 1y = 7
1x + 5y = 11
FINAL:
| 1.230769
| 1.230769
|
linear_system
| 0
|
sinusoid
| 1
| 8
| 240
| 31
| 3.948236
|
Solve this system for x:
3.9482361909794963x + 1y = 7
1x + 5y = 11
FINAL:
| 1.280602
| 1.280602
|
linear_system
| 0
|
sinusoid
| 1
| 8
| 240
| 32
| 3.826795
|
Solve this system for x:
3.8267949192431123x + 1y = 7
1x + 5y = 11
FINAL:
| 1.323483
| 1.323483
|
linear_system
| 0
|
sinusoid
| 1
| 8
| 240
| 33
| 3.806815
|
Solve this system for x:
3.806814834742186x + 1y = 7
1x + 5y = 11
FINAL:
| 1.330814
| 1.330814
|
linear_system
| 0
|
sinusoid
| 1
| 8
| 240
| 34
| 3.9
|
Solve this system for x:
3.9x + 1y = 7
1x + 5y = 11
FINAL:
| 1.297297
| 1.297297
|
linear_system
| 0
|
sinusoid
| 1
| 8
| 240
| 35
| 4.051764
|
Solve this system for x:
4.051763809020503x + 1y = 7
1x + 5y = 11
FINAL:
| 1.246182
| 1.246182
|
linear_system
| 0
|
sinusoid
| 1
| 8
| 240
| 36
| 4.173205
|
Solve this system for x:
4.173205080756888x + 1y = 7
1x + 5y = 11
FINAL:
| 1.208093
| 1.208093
|
linear_system
| 0
|
sinusoid
| 1
| 8
| 240
| 37
| 4.193185
|
Solve this system for x:
4.193185165257813x + 1y = 7
1x + 5y = 11
FINAL:
| 1.202048
| 1.202048
|
linear_system
| 0
|
sinusoid
| 1
| 8
| 240
| 38
| 4.1
|
Solve this system for x:
4.1000000000000005x + 1y = 7
1x + 5y = 11
FINAL:
| 1.230769
| 1.230769
|
linear_system
| 0
|
sinusoid
| 1
| 8
| 240
| 39
| 3.948236
|
Solve this system for x:
3.9482361909794963x + 1y = 7
1x + 5y = 11
FINAL:
| 1.280602
| 1.280602
|
linear_system
| 0
|
sinusoid
| 1
| 8
| 240
| 40
| 3.826795
|
Solve this system for x:
3.8267949192431123x + 1y = 7
1x + 5y = 11
FINAL:
| 1.323483
| 1.323483
|
linear_system
| 0
|
sinusoid
| 1
| 8
| 240
| 41
| 3.806815
|
Solve this system for x:
3.806814834742186x + 1y = 7
1x + 5y = 11
FINAL:
| 1.330814
| 1.330814
|
linear_system
| 0
|
sinusoid
| 1
| 8
| 240
| 42
| 3.9
|
Solve this system for x:
3.9000000000000004x + 1y = 7
1x + 5y = 11
FINAL:
| 1.297297
| 1.297297
|
linear_system
| 0
|
sinusoid
| 1
| 8
| 240
| 43
| 4.051764
|
Solve this system for x:
4.051763809020504x + 1y = 7
1x + 5y = 11
FINAL:
| 1.246182
| 1.246182
|
linear_system
| 0
|
sinusoid
| 1
| 8
| 240
| 44
| 4.173205
|
Solve this system for x:
4.173205080756888x + 1y = 7
1x + 5y = 11
FINAL:
| 1.208093
| 1.208093
|
linear_system
| 0
|
sinusoid
| 1
| 8
| 240
| 45
| 4.193185
|
Solve this system for x:
4.193185165257813x + 1y = 7
1x + 5y = 11
FINAL:
| 1.202048
| 1.202048
|
linear_system
| 0
|
sinusoid
| 1
| 8
| 240
| 46
| 4.1
|
Solve this system for x:
4.1000000000000005x + 1y = 7
1x + 5y = 11
FINAL:
| 1.230769
| 1.230769
|
linear_system
| 0
|
sinusoid
| 1
| 8
| 240
| 47
| 3.948236
|
Solve this system for x:
3.948236190979495x + 1y = 7
1x + 5y = 11
FINAL:
| 1.280602
| 1.280602
|
linear_system
| 0
|
sinusoid
| 1
| 8
| 240
| 48
| 3.826795
|
Solve this system for x:
3.8267949192431123x + 1y = 7
1x + 5y = 11
FINAL:
| 1.323483
| 1.323483
|
linear_system
| 0
|
sinusoid
| 1
| 8
| 240
| 49
| 3.806815
|
Solve this system for x:
3.806814834742186x + 1y = 7
1x + 5y = 11
FINAL:
| 1.330814
| 1.330814
|
linear_system
| 0
|
sinusoid
| 1
| 8
| 240
| 50
| 3.9
|
Solve this system for x:
3.9000000000000004x + 1y = 7
1x + 5y = 11
FINAL:
| 1.297297
| 1.297297
|
linear_system
| 0
|
sinusoid
| 1
| 8
| 240
| 51
| 4.051764
|
Solve this system for x:
4.051763809020504x + 1y = 7
1x + 5y = 11
FINAL:
| 1.246182
| 1.246182
|
linear_system
| 0
|
sinusoid
| 1
| 8
| 240
| 52
| 4.173205
|
Solve this system for x:
4.173205080756889x + 1y = 7
1x + 5y = 11
FINAL:
| 1.208093
| 1.208093
|
linear_system
| 0
|
sinusoid
| 1
| 8
| 240
| 53
| 4.193185
|
Solve this system for x:
4.193185165257813x + 1y = 7
1x + 5y = 11
FINAL:
| 1.202048
| 1.202048
|
linear_system
| 0
|
sinusoid
| 1
| 8
| 240
| 54
| 4.1
|
Solve this system for x:
4.1000000000000005x + 1y = 7
1x + 5y = 11
FINAL:
| 1.230769
| 1.230769
|
linear_system
| 0
|
sinusoid
| 1
| 8
| 240
| 55
| 3.948236
|
Solve this system for x:
3.9482361909794954x + 1y = 7
1x + 5y = 11
FINAL:
| 1.280602
| 1.280602
|
linear_system
| 0
|
sinusoid
| 1
| 8
| 240
| 56
| 3.826795
|
Solve this system for x:
3.8267949192431123x + 1y = 7
1x + 5y = 11
FINAL:
| 1.323483
| 1.323483
|
linear_system
| 0
|
sinusoid
| 1
| 8
| 240
| 57
| 3.806815
|
Solve this system for x:
3.806814834742186x + 1y = 7
1x + 5y = 11
FINAL:
| 1.330814
| 1.330814
|
linear_system
| 0
|
sinusoid
| 1
| 8
| 240
| 58
| 3.9
|
Solve this system for x:
3.9000000000000004x + 1y = 7
1x + 5y = 11
FINAL:
| 1.297297
| 1.297297
|
linear_system
| 0
|
sinusoid
| 1
| 8
| 240
| 59
| 4.051764
|
Solve this system for x:
4.051763809020504x + 1y = 7
1x + 5y = 11
FINAL:
| 1.246182
| 1.246182
|
linear_system
| 0
|
sinusoid
| 1
| 8
| 240
| 60
| 4.173205
|
Solve this system for x:
4.173205080756888x + 1y = 7
1x + 5y = 11
FINAL:
| 1.208093
| 1.208093
|
linear_system
| 0
|
sinusoid
| 1
| 8
| 240
| 61
| 4.193185
|
Solve this system for x:
4.193185165257813x + 1y = 7
1x + 5y = 11
FINAL:
| 1.202048
| 1.202048
|
linear_system
| 0
|
sinusoid
| 1
| 8
| 240
| 62
| 4.1
|
Solve this system for x:
4.1000000000000005x + 1y = 7
1x + 5y = 11
FINAL:
| 1.230769
| 1.230769
|
linear_system
| 0
|
sinusoid
| 1
| 8
| 240
| 63
| 3.948236
|
Solve this system for x:
3.9482361909794954x + 1y = 7
1x + 5y = 11
FINAL:
| 1.280602
| 1.280602
|
linear_system
| 0
|
sinusoid
| 1
| 16
| 240
| 0
| 3.826795
|
Solve this system for x:
3.8267949192431123x + 1y = 7
1x + 5y = 11
FINAL:
| 1.323483
| 1.323483
|
linear_system
| 0
|
sinusoid
| 1
| 16
| 240
| 1
| 3.9
|
Solve this system for x:
3.9x + 1y = 7
1x + 5y = 11
FINAL:
| 1.297297
| 1.297297
|
linear_system
| 0
|
sinusoid
| 1
| 16
| 240
| 2
| 4.173205
|
Solve this system for x:
4.173205080756888x + 1y = 7
1x + 5y = 11
FINAL:
| 1.208093
| 1.208093
|
linear_system
| 0
|
sinusoid
| 1
| 16
| 240
| 3
| 4.1
|
Solve this system for x:
4.1x + 1y = 7
1x + 5y = 11
FINAL:
| 1.230769
| 1.230769
|
linear_system
| 0
|
sinusoid
| 1
| 16
| 240
| 4
| 3.826795
|
Solve this system for x:
3.8267949192431123x + 1y = 7
1x + 5y = 11
FINAL:
| 1.323483
| 1.323483
|
linear_system
| 0
|
sinusoid
| 1
| 16
| 240
| 5
| 3.9
|
Solve this system for x:
3.9x + 1y = 7
1x + 5y = 11
FINAL:
| 1.297297
| 1.297297
|
linear_system
| 0
|
sinusoid
| 1
| 16
| 240
| 6
| 4.173205
|
Solve this system for x:
4.173205080756888x + 1y = 7
1x + 5y = 11
FINAL:
| 1.208093
| 1.208093
|
linear_system
| 0
|
sinusoid
| 1
| 16
| 240
| 7
| 4.1
|
Solve this system for x:
4.1x + 1y = 7
1x + 5y = 11
FINAL:
| 1.230769
| 1.230769
|
linear_system
| 0
|
sinusoid
| 1
| 16
| 240
| 8
| 3.826795
|
Solve this system for x:
3.8267949192431123x + 1y = 7
1x + 5y = 11
FINAL:
| 1.323483
| 1.323483
|
linear_system
| 0
|
sinusoid
| 1
| 16
| 240
| 9
| 3.9
|
Solve this system for x:
3.9x + 1y = 7
1x + 5y = 11
FINAL:
| 1.297297
| 1.297297
|
linear_system
| 0
|
sinusoid
| 1
| 16
| 240
| 10
| 4.173205
|
Solve this system for x:
4.173205080756888x + 1y = 7
1x + 5y = 11
FINAL:
| 1.208093
| 1.208093
|
linear_system
| 0
|
sinusoid
| 1
| 16
| 240
| 11
| 4.1
|
Solve this system for x:
4.1000000000000005x + 1y = 7
1x + 5y = 11
FINAL:
| 1.230769
| 1.230769
|
linear_system
| 0
|
sinusoid
| 1
| 16
| 240
| 12
| 3.826795
|
Solve this system for x:
3.8267949192431123x + 1y = 7
1x + 5y = 11
FINAL:
| 1.323483
| 1.323483
|
linear_system
| 0
|
sinusoid
| 1
| 16
| 240
| 13
| 3.9
|
Solve this system for x:
3.9x + 1y = 7
1x + 5y = 11
FINAL:
| 1.297297
| 1.297297
|
linear_system
| 0
|
sinusoid
| 1
| 16
| 240
| 14
| 4.173205
|
Solve this system for x:
4.173205080756888x + 1y = 7
1x + 5y = 11
FINAL:
| 1.208093
| 1.208093
|
linear_system
| 0
|
sinusoid
| 1
| 16
| 240
| 15
| 4.1
|
Solve this system for x:
4.1000000000000005x + 1y = 7
1x + 5y = 11
FINAL:
| 1.230769
| 1.230769
|
linear_system
| 0
|
sinusoid
| 1
| 16
| 240
| 16
| 3.826795
|
Solve this system for x:
3.8267949192431123x + 1y = 7
1x + 5y = 11
FINAL:
| 1.323483
| 1.323483
|
linear_system
| 0
|
sinusoid
| 1
| 16
| 240
| 17
| 3.9
|
Solve this system for x:
3.9x + 1y = 7
1x + 5y = 11
FINAL:
| 1.297297
| 1.297297
|
linear_system
| 0
|
sinusoid
| 1
| 16
| 240
| 18
| 4.173205
|
Solve this system for x:
4.173205080756888x + 1y = 7
1x + 5y = 11
FINAL:
| 1.208093
| 1.208093
|
linear_system
| 0
|
sinusoid
| 1
| 16
| 240
| 19
| 4.1
|
Solve this system for x:
4.1000000000000005x + 1y = 7
1x + 5y = 11
FINAL:
| 1.230769
| 1.230769
|
linear_system
| 0
|
sinusoid
| 1
| 16
| 240
| 20
| 3.826795
|
Solve this system for x:
3.8267949192431123x + 1y = 7
1x + 5y = 11
FINAL:
| 1.323483
| 1.323483
|
linear_system
| 0
|
sinusoid
| 1
| 16
| 240
| 21
| 3.9
|
Solve this system for x:
3.9000000000000004x + 1y = 7
1x + 5y = 11
FINAL:
| 1.297297
| 1.297297
|
linear_system
| 0
|
sinusoid
| 1
| 16
| 240
| 22
| 4.173205
|
Solve this system for x:
4.173205080756888x + 1y = 7
1x + 5y = 11
FINAL:
| 1.208093
| 1.208093
|
linear_system
| 0
|
sinusoid
| 1
| 16
| 240
| 23
| 4.1
|
Solve this system for x:
4.1000000000000005x + 1y = 7
1x + 5y = 11
FINAL:
| 1.230769
| 1.230769
|
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