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
| 4
| 240
| 52
| 3.75
|
Solve this system for x:
3.75x + 1y = 10
2x + 4y = 12
FINAL:
| 2.153846
| 2.153846
|
linear_system
| 2
|
sinusoid
| 2.5
| 4
| 240
| 53
| 3.934737
|
Solve this system for x:
3.9347369038899735x + 1y = 10
2x + 4y = 12
FINAL:
| 2.038002
| 2.038002
|
linear_system
| 2
|
sinusoid
| 2.5
| 4
| 240
| 54
| 4.12941
|
Solve this system for x:
4.129409522551259x + 1y = 10
2x + 4y = 12
FINAL:
| 1.928688
| 1.928688
|
linear_system
| 2
|
sinusoid
| 2.5
| 4
| 240
| 55
| 4.304381
|
Solve this system for x:
4.30438071450436x + 1y = 10
2x + 4y = 12
FINAL:
| 1.839984
| 1.839984
|
linear_system
| 2
|
sinusoid
| 2.5
| 4
| 240
| 56
| 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
| 4
| 240
| 57
| 4.495722
|
Solve this system for x:
4.495722430686905x + 1y = 10
2x + 4y = 12
FINAL:
| 1.751873
| 1.751873
|
linear_system
| 2
|
sinusoid
| 2.5
| 4
| 240
| 58
| 4.482963
|
Solve this system for x:
4.482962913144535x + 1y = 10
2x + 4y = 12
FINAL:
| 1.757486
| 1.757486
|
linear_system
| 2
|
sinusoid
| 2.5
| 4
| 240
| 59
| 4.396677
|
Solve this system for x:
4.396676670145618x + 1y = 10
2x + 4y = 12
FINAL:
| 1.796403
| 1.796403
|
linear_system
| 2
|
sinusoid
| 2.5
| 4
| 240
| 60
| 4.25
|
Solve this system for x:
4.250000000000002x + 1y = 10
2x + 4y = 12
FINAL:
| 1.866667
| 1.866667
|
linear_system
| 2
|
sinusoid
| 2.5
| 4
| 240
| 61
| 4.065263
|
Solve this system for x:
4.0652630961100265x + 1y = 10
2x + 4y = 12
FINAL:
| 1.963389
| 1.963389
|
linear_system
| 2
|
sinusoid
| 2.5
| 4
| 240
| 62
| 3.87059
|
Solve this system for x:
3.870590477448741x + 1y = 10
2x + 4y = 12
FINAL:
| 2.076787
| 2.076787
|
linear_system
| 2
|
sinusoid
| 2.5
| 4
| 240
| 63
| 3.695619
|
Solve this system for x:
3.6956192854956402x + 1y = 10
2x + 4y = 12
FINAL:
| 2.190499
| 2.190499
|
linear_system
| 2
|
sinusoid
| 2.5
| 8
| 240
| 0
| 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
| 8
| 240
| 1
| 3.517037
|
Solve this system for x:
3.5170370868554657x + 1y = 10
2x + 4y = 12
FINAL:
| 2.320157
| 2.320157
|
linear_system
| 2
|
sinusoid
| 2.5
| 8
| 240
| 2
| 3.75
|
Solve this system for x:
3.75x + 1y = 10
2x + 4y = 12
FINAL:
| 2.153846
| 2.153846
|
linear_system
| 2
|
sinusoid
| 2.5
| 8
| 240
| 3
| 4.12941
|
Solve this system for x:
4.12940952255126x + 1y = 10
2x + 4y = 12
FINAL:
| 1.928688
| 1.928688
|
linear_system
| 2
|
sinusoid
| 2.5
| 8
| 240
| 4
| 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
| 8
| 240
| 5
| 4.482963
|
Solve this system for x:
4.482962913144534x + 1y = 10
2x + 4y = 12
FINAL:
| 1.757486
| 1.757486
|
linear_system
| 2
|
sinusoid
| 2.5
| 8
| 240
| 6
| 4.25
|
Solve this system for x:
4.25x + 1y = 10
2x + 4y = 12
FINAL:
| 1.866667
| 1.866667
|
linear_system
| 2
|
sinusoid
| 2.5
| 8
| 240
| 7
| 3.87059
|
Solve this system for x:
3.87059047744874x + 1y = 10
2x + 4y = 12
FINAL:
| 2.076787
| 2.076787
|
linear_system
| 2
|
sinusoid
| 2.5
| 8
| 240
| 8
| 3.566987
|
Solve this system for x:
3.5669872981077813x + 1y = 10
2x + 4y = 12
FINAL:
| 2.28237
| 2.28237
|
linear_system
| 2
|
sinusoid
| 2.5
| 8
| 240
| 9
| 3.517037
|
Solve this system for x:
3.5170370868554657x + 1y = 10
2x + 4y = 12
FINAL:
| 2.320157
| 2.320157
|
linear_system
| 2
|
sinusoid
| 2.5
| 8
| 240
| 10
| 3.75
|
Solve this system for x:
3.75x + 1y = 10
2x + 4y = 12
FINAL:
| 2.153846
| 2.153846
|
linear_system
| 2
|
sinusoid
| 2.5
| 8
| 240
| 11
| 4.12941
|
Solve this system for x:
4.129409522551259x + 1y = 10
2x + 4y = 12
FINAL:
| 1.928688
| 1.928688
|
linear_system
| 2
|
sinusoid
| 2.5
| 8
| 240
| 12
| 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
| 8
| 240
| 13
| 4.482963
|
Solve this system for x:
4.482962913144534x + 1y = 10
2x + 4y = 12
FINAL:
| 1.757486
| 1.757486
|
linear_system
| 2
|
sinusoid
| 2.5
| 8
| 240
| 14
| 4.25
|
Solve this system for x:
4.25x + 1y = 10
2x + 4y = 12
FINAL:
| 1.866667
| 1.866667
|
linear_system
| 2
|
sinusoid
| 2.5
| 8
| 240
| 15
| 3.87059
|
Solve this system for x:
3.870590477448741x + 1y = 10
2x + 4y = 12
FINAL:
| 2.076787
| 2.076787
|
linear_system
| 2
|
sinusoid
| 2.5
| 8
| 240
| 16
| 3.566987
|
Solve this system for x:
3.5669872981077813x + 1y = 10
2x + 4y = 12
FINAL:
| 2.28237
| 2.28237
|
linear_system
| 2
|
sinusoid
| 2.5
| 8
| 240
| 17
| 3.517037
|
Solve this system for x:
3.5170370868554657x + 1y = 10
2x + 4y = 12
FINAL:
| 2.320157
| 2.320157
|
linear_system
| 2
|
sinusoid
| 2.5
| 8
| 240
| 18
| 3.75
|
Solve this system for x:
3.75x + 1y = 10
2x + 4y = 12
FINAL:
| 2.153846
| 2.153846
|
linear_system
| 2
|
sinusoid
| 2.5
| 8
| 240
| 19
| 4.12941
|
Solve this system for x:
4.129409522551259x + 1y = 10
2x + 4y = 12
FINAL:
| 1.928688
| 1.928688
|
linear_system
| 2
|
sinusoid
| 2.5
| 8
| 240
| 20
| 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
| 8
| 240
| 21
| 4.482963
|
Solve this system for x:
4.482962913144534x + 1y = 10
2x + 4y = 12
FINAL:
| 1.757486
| 1.757486
|
linear_system
| 2
|
sinusoid
| 2.5
| 8
| 240
| 22
| 4.25
|
Solve this system for x:
4.250000000000002x + 1y = 10
2x + 4y = 12
FINAL:
| 1.866667
| 1.866667
|
linear_system
| 2
|
sinusoid
| 2.5
| 8
| 240
| 23
| 3.87059
|
Solve this system for x:
3.870590477448741x + 1y = 10
2x + 4y = 12
FINAL:
| 2.076787
| 2.076787
|
linear_system
| 2
|
sinusoid
| 2.5
| 8
| 240
| 24
| 3.566987
|
Solve this system for x:
3.5669872981077813x + 1y = 10
2x + 4y = 12
FINAL:
| 2.28237
| 2.28237
|
linear_system
| 2
|
sinusoid
| 2.5
| 8
| 240
| 25
| 3.517037
|
Solve this system for x:
3.5170370868554657x + 1y = 10
2x + 4y = 12
FINAL:
| 2.320157
| 2.320157
|
linear_system
| 2
|
sinusoid
| 2.5
| 8
| 240
| 26
| 3.75
|
Solve this system for x:
3.75x + 1y = 10
2x + 4y = 12
FINAL:
| 2.153846
| 2.153846
|
linear_system
| 2
|
sinusoid
| 2.5
| 8
| 240
| 27
| 4.12941
|
Solve this system for x:
4.129409522551259x + 1y = 10
2x + 4y = 12
FINAL:
| 1.928688
| 1.928688
|
linear_system
| 2
|
sinusoid
| 2.5
| 8
| 240
| 28
| 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
| 8
| 240
| 29
| 4.482963
|
Solve this system for x:
4.482962913144535x + 1y = 10
2x + 4y = 12
FINAL:
| 1.757486
| 1.757486
|
linear_system
| 2
|
sinusoid
| 2.5
| 8
| 240
| 30
| 4.25
|
Solve this system for x:
4.250000000000002x + 1y = 10
2x + 4y = 12
FINAL:
| 1.866667
| 1.866667
|
linear_system
| 2
|
sinusoid
| 2.5
| 8
| 240
| 31
| 3.87059
|
Solve this system for x:
3.870590477448741x + 1y = 10
2x + 4y = 12
FINAL:
| 2.076787
| 2.076787
|
linear_system
| 2
|
sinusoid
| 2.5
| 8
| 240
| 32
| 3.566987
|
Solve this system for x:
3.5669872981077813x + 1y = 10
2x + 4y = 12
FINAL:
| 2.28237
| 2.28237
|
linear_system
| 2
|
sinusoid
| 2.5
| 8
| 240
| 33
| 3.517037
|
Solve this system for x:
3.5170370868554657x + 1y = 10
2x + 4y = 12
FINAL:
| 2.320157
| 2.320157
|
linear_system
| 2
|
sinusoid
| 2.5
| 8
| 240
| 34
| 3.75
|
Solve this system for x:
3.7499999999999996x + 1y = 10
2x + 4y = 12
FINAL:
| 2.153846
| 2.153846
|
linear_system
| 2
|
sinusoid
| 2.5
| 8
| 240
| 35
| 4.12941
|
Solve this system for x:
4.129409522551259x + 1y = 10
2x + 4y = 12
FINAL:
| 1.928688
| 1.928688
|
linear_system
| 2
|
sinusoid
| 2.5
| 8
| 240
| 36
| 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
| 8
| 240
| 37
| 4.482963
|
Solve this system for x:
4.482962913144534x + 1y = 10
2x + 4y = 12
FINAL:
| 1.757486
| 1.757486
|
linear_system
| 2
|
sinusoid
| 2.5
| 8
| 240
| 38
| 4.25
|
Solve this system for x:
4.25x + 1y = 10
2x + 4y = 12
FINAL:
| 1.866667
| 1.866667
|
linear_system
| 2
|
sinusoid
| 2.5
| 8
| 240
| 39
| 3.87059
|
Solve this system for x:
3.8705904774487414x + 1y = 10
2x + 4y = 12
FINAL:
| 2.076787
| 2.076787
|
linear_system
| 2
|
sinusoid
| 2.5
| 8
| 240
| 40
| 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
| 8
| 240
| 41
| 3.517037
|
Solve this system for x:
3.5170370868554657x + 1y = 10
2x + 4y = 12
FINAL:
| 2.320157
| 2.320157
|
linear_system
| 2
|
sinusoid
| 2.5
| 8
| 240
| 42
| 3.75
|
Solve this system for x:
3.7500000000000013x + 1y = 10
2x + 4y = 12
FINAL:
| 2.153846
| 2.153846
|
linear_system
| 2
|
sinusoid
| 2.5
| 8
| 240
| 43
| 4.12941
|
Solve this system for x:
4.12940952255126x + 1y = 10
2x + 4y = 12
FINAL:
| 1.928688
| 1.928688
|
linear_system
| 2
|
sinusoid
| 2.5
| 8
| 240
| 44
| 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
| 8
| 240
| 45
| 4.482963
|
Solve this system for x:
4.482962913144534x + 1y = 10
2x + 4y = 12
FINAL:
| 1.757486
| 1.757486
|
linear_system
| 2
|
sinusoid
| 2.5
| 8
| 240
| 46
| 4.25
|
Solve this system for x:
4.25x + 1y = 10
2x + 4y = 12
FINAL:
| 1.866667
| 1.866667
|
linear_system
| 2
|
sinusoid
| 2.5
| 8
| 240
| 47
| 3.87059
|
Solve this system for x:
3.870590477448738x + 1y = 10
2x + 4y = 12
FINAL:
| 2.076787
| 2.076787
|
linear_system
| 2
|
sinusoid
| 2.5
| 8
| 240
| 48
| 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
| 8
| 240
| 49
| 3.517037
|
Solve this system for x:
3.5170370868554657x + 1y = 10
2x + 4y = 12
FINAL:
| 2.320157
| 2.320157
|
linear_system
| 2
|
sinusoid
| 2.5
| 8
| 240
| 50
| 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
| 8
| 240
| 51
| 4.12941
|
Solve this system for x:
4.12940952255126x + 1y = 10
2x + 4y = 12
FINAL:
| 1.928688
| 1.928688
|
linear_system
| 2
|
sinusoid
| 2.5
| 8
| 240
| 52
| 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
| 8
| 240
| 53
| 4.482963
|
Solve this system for x:
4.482962913144534x + 1y = 10
2x + 4y = 12
FINAL:
| 1.757486
| 1.757486
|
linear_system
| 2
|
sinusoid
| 2.5
| 8
| 240
| 54
| 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
| 8
| 240
| 55
| 3.87059
|
Solve this system for x:
3.8705904774487383x + 1y = 10
2x + 4y = 12
FINAL:
| 2.076787
| 2.076787
|
linear_system
| 2
|
sinusoid
| 2.5
| 8
| 240
| 56
| 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
| 8
| 240
| 57
| 3.517037
|
Solve this system for x:
3.5170370868554657x + 1y = 10
2x + 4y = 12
FINAL:
| 2.320157
| 2.320157
|
linear_system
| 2
|
sinusoid
| 2.5
| 8
| 240
| 58
| 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
| 8
| 240
| 59
| 4.12941
|
Solve this system for x:
4.12940952255126x + 1y = 10
2x + 4y = 12
FINAL:
| 1.928688
| 1.928688
|
linear_system
| 2
|
sinusoid
| 2.5
| 8
| 240
| 60
| 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
| 8
| 240
| 61
| 4.482963
|
Solve this system for x:
4.482962913144534x + 1y = 10
2x + 4y = 12
FINAL:
| 1.757486
| 1.757486
|
linear_system
| 2
|
sinusoid
| 2.5
| 8
| 240
| 62
| 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
| 8
| 240
| 63
| 3.87059
|
Solve this system for x:
3.8705904774487383x + 1y = 10
2x + 4y = 12
FINAL:
| 2.076787
| 2.076787
|
linear_system
| 2
|
sinusoid
| 2.5
| 16
| 240
| 0
| 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
| 1
| 3.75
|
Solve this system for x:
3.75x + 1y = 10
2x + 4y = 12
FINAL:
| 2.153846
| 2.153846
|
linear_system
| 2
|
sinusoid
| 2.5
| 16
| 240
| 2
| 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
| 3
| 4.25
|
Solve this system for x:
4.25x + 1y = 10
2x + 4y = 12
FINAL:
| 1.866667
| 1.866667
|
linear_system
| 2
|
sinusoid
| 2.5
| 16
| 240
| 4
| 3.566987
|
Solve this system for x:
3.5669872981077813x + 1y = 10
2x + 4y = 12
FINAL:
| 2.28237
| 2.28237
|
linear_system
| 2
|
sinusoid
| 2.5
| 16
| 240
| 5
| 3.75
|
Solve this system for x:
3.75x + 1y = 10
2x + 4y = 12
FINAL:
| 2.153846
| 2.153846
|
linear_system
| 2
|
sinusoid
| 2.5
| 16
| 240
| 6
| 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
| 7
| 4.25
|
Solve this system for x:
4.25x + 1y = 10
2x + 4y = 12
FINAL:
| 1.866667
| 1.866667
|
linear_system
| 2
|
sinusoid
| 2.5
| 16
| 240
| 8
| 3.566987
|
Solve this system for x:
3.5669872981077813x + 1y = 10
2x + 4y = 12
FINAL:
| 2.28237
| 2.28237
|
linear_system
| 2
|
sinusoid
| 2.5
| 16
| 240
| 9
| 3.75
|
Solve this system for x:
3.75x + 1y = 10
2x + 4y = 12
FINAL:
| 2.153846
| 2.153846
|
linear_system
| 2
|
sinusoid
| 2.5
| 16
| 240
| 10
| 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
| 11
| 4.25
|
Solve this system for x:
4.250000000000002x + 1y = 10
2x + 4y = 12
FINAL:
| 1.866667
| 1.866667
|
linear_system
| 2
|
sinusoid
| 2.5
| 16
| 240
| 12
| 3.566987
|
Solve this system for x:
3.5669872981077813x + 1y = 10
2x + 4y = 12
FINAL:
| 2.28237
| 2.28237
|
linear_system
| 2
|
sinusoid
| 2.5
| 16
| 240
| 13
| 3.75
|
Solve this system for x:
3.75x + 1y = 10
2x + 4y = 12
FINAL:
| 2.153846
| 2.153846
|
linear_system
| 2
|
sinusoid
| 2.5
| 16
| 240
| 14
| 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
| 15
| 4.25
|
Solve this system for x:
4.250000000000002x + 1y = 10
2x + 4y = 12
FINAL:
| 1.866667
| 1.866667
|
linear_system
| 2
|
sinusoid
| 2.5
| 16
| 240
| 16
| 3.566987
|
Solve this system for x:
3.5669872981077813x + 1y = 10
2x + 4y = 12
FINAL:
| 2.28237
| 2.28237
|
linear_system
| 2
|
sinusoid
| 2.5
| 16
| 240
| 17
| 3.75
|
Solve this system for x:
3.7499999999999996x + 1y = 10
2x + 4y = 12
FINAL:
| 2.153846
| 2.153846
|
linear_system
| 2
|
sinusoid
| 2.5
| 16
| 240
| 18
| 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
| 19
| 4.25
|
Solve this system for x:
4.25x + 1y = 10
2x + 4y = 12
FINAL:
| 1.866667
| 1.866667
|
linear_system
| 2
|
sinusoid
| 2.5
| 16
| 240
| 20
| 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
| 21
| 3.75
|
Solve this system for x:
3.7500000000000013x + 1y = 10
2x + 4y = 12
FINAL:
| 2.153846
| 2.153846
|
linear_system
| 2
|
sinusoid
| 2.5
| 16
| 240
| 22
| 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
| 23
| 4.25
|
Solve this system for x:
4.25x + 1y = 10
2x + 4y = 12
FINAL:
| 1.866667
| 1.866667
|
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