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
1
120
0
4.433013
Solve this system for x: 4.43301270189222x + 1y = 10 2x + 4y = 12 FINAL:
1.779806
1.779806
linear_system
2
sinusoid
2.5
1
120
1
4.406423
Solve this system for x: 4.406423342295808x + 1y = 10 2x + 4y = 12 FINAL:
1.79192
1.79192
linear_system
2
sinusoid
2.5
1
120
2
4.37592
Solve this system for x: 4.375919903739489x + 1y = 10 2x + 4y = 12 FINAL:
1.806023
1.806023
linear_system
2
sinusoid
2.5
1
120
3
4.341796
Solve this system for x: 4.341796151011436x + 1y = 10 2x + 4y = 12 FINAL:
1.822064
1.822064
linear_system
2
sinusoid
2.5
1
120
4
4.304381
Solve this system for x: 4.304380714504361x + 1y = 10 2x + 4y = 12 FINAL:
1.839984
1.839984
linear_system
2
sinusoid
2.5
1
120
5
4.264034
Solve this system for x: 4.264033925325184x + 1y = 10 2x + 4y = 12 FINAL:
1.859707
1.859707
linear_system
2
sinusoid
2.5
1
120
6
4.221144
Solve this system for x: 4.221144345109501x + 1y = 10 2x + 4y = 12 FINAL:
1.881142
1.881142
linear_system
2
sinusoid
2.5
1
120
7
4.176125
Solve this system for x: 4.176125023960617x + 1y = 10 2x + 4y = 12 FINAL:
1.904179
1.904179
linear_system
2
sinusoid
2.5
1
120
8
4.12941
Solve this system for x: 4.129409522551261x + 1y = 10 2x + 4y = 12 FINAL:
1.928688
1.928688
linear_system
2
sinusoid
2.5
1
120
9
4.081448
Solve this system for x: 4.081447736697294x + 1y = 10 2x + 4y = 12 FINAL:
1.954517
1.954517
linear_system
2
sinusoid
2.5
1
120
10
4.032702
Solve this system for x: 4.0327015646150715x + 1y = 10 2x + 4y = 12 FINAL:
1.981486
1.981486
linear_system
2
sinusoid
2.5
1
120
11
3.98364
Solve this system for x: 3.9836404585891123x + 1y = 10 2x + 4y = 12 FINAL:
2.009392
2.009392
linear_system
2
sinusoid
2.5
1
120
12
3.934737
Solve this system for x: 3.9347369038899744x + 1y = 10 2x + 4y = 12 FINAL:
2.038002
2.038002
linear_system
2
sinusoid
2.5
1
120
13
3.886462
Solve this system for x: 3.8864618684828134x + 1y = 10 2x + 4y = 12 FINAL:
2.067054
2.067054
linear_system
2
sinusoid
2.5
1
120
14
3.83928
Solve this system for x: 3.8392802673484194x + 1y = 10 2x + 4y = 12 FINAL:
2.09626
2.09626
linear_system
2
sinusoid
2.5
1
120
15
3.793646
Solve this system for x: 3.7936464850978027x + 1y = 10 2x + 4y = 12 FINAL:
2.125304
2.125304
linear_system
2
sinusoid
2.5
1
120
16
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
1
120
17
3.708761
Solve this system for x: 3.708761151566099x + 1y = 10 2x + 4y = 12 FINAL:
2.181527
2.181527
linear_system
2
sinusoid
2.5
1
120
18
3.670327
Solve this system for x: 3.670327092449966x + 1y = 10 2x + 4y = 12 FINAL:
2.207974
2.207974
linear_system
2
sinusoid
2.5
1
120
19
3.635068
Solve this system for x: 3.6350679636510823x + 1y = 10 2x + 4y = 12 FINAL:
2.232806
2.232806
linear_system
2
sinusoid
2.5
1
120
20
3.603323
Solve this system for x: 3.6033233298543825x + 1y = 10 2x + 4y = 12 FINAL:
2.255646
2.255646
linear_system
2
sinusoid
2.5
1
120
21
3.575399
Solve this system for x: 3.5753989092367107x + 1y = 10 2x + 4y = 12 FINAL:
2.276127
2.276127
linear_system
2
sinusoid
2.5
1
120
22
3.551564
Solve this system for x: 3.551563629233656x + 1y = 10 2x + 4y = 12 FINAL:
2.293906
2.293906
linear_system
2
sinusoid
2.5
1
120
23
3.532047
Solve this system for x: 3.5320470366213375x + 1y = 10 2x + 4y = 12 FINAL:
2.308671
2.308671
linear_system
2
sinusoid
2.5
1
120
24
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
1
120
25
3.506678
Solve this system for x: 3.5066783339575607x + 1y = 10 2x + 4y = 12 FINAL:
2.328151
2.328151
linear_system
2
sinusoid
2.5
1
120
26
3.501071
Solve this system for x: 3.501070538380698x + 1y = 10 2x + 4y = 12 FINAL:
2.332501
2.332501
linear_system
2
sinusoid
2.5
1
120
27
3.500268
Solve this system for x: 3.500267706261817x + 1y = 10 2x + 4y = 12 FINAL:
2.333125
2.333125
linear_system
2
sinusoid
2.5
1
120
28
3.504278
Solve this system for x: 3.5042775693130945x + 1y = 10 2x + 4y = 12 FINAL:
2.330011
2.330011
linear_system
2
sinusoid
2.5
1
120
29
3.513062
Solve this system for x: 3.513061510361333x + 1y = 10 2x + 4y = 12 FINAL:
2.323218
2.323218
linear_system
2
sinusoid
2.5
1
120
30
3.526535
Solve this system for x: 3.5265349352524473x + 1y = 10 2x + 4y = 12 FINAL:
2.312876
2.312876
linear_system
2
sinusoid
2.5
1
120
31
3.544568
Solve this system for x: 3.544568087539412x + 1y = 10 2x + 4y = 12 FINAL:
2.299177
2.299177
linear_system
2
sinusoid
2.5
1
120
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
1
120
33
3.593577
Solve this system for x: 3.593576657704192x + 1y = 10 2x + 4y = 12 FINAL:
2.262753
2.262753
linear_system
2
sinusoid
2.5
1
120
34
3.62408
Solve this system for x: 3.6240800962605113x + 1y = 10 2x + 4y = 12 FINAL:
2.24066
2.24066
linear_system
2
sinusoid
2.5
1
120
35
3.658204
Solve this system for x: 3.658203848988564x + 1y = 10 2x + 4y = 12 FINAL:
2.21645
2.21645
linear_system
2
sinusoid
2.5
1
120
36
3.695619
Solve this system for x: 3.6956192854956393x + 1y = 10 2x + 4y = 12 FINAL:
2.190499
2.190499
linear_system
2
sinusoid
2.5
1
120
37
3.735966
Solve this system for x: 3.7359660746748156x + 1y = 10 2x + 4y = 12 FINAL:
2.163187
2.163187
linear_system
2
sinusoid
2.5
1
120
38
3.778856
Solve this system for x: 3.778855654890499x + 1y = 10 2x + 4y = 12 FINAL:
2.134891
2.134891
linear_system
2
sinusoid
2.5
1
120
39
3.823875
Solve this system for x: 3.823874976039383x + 1y = 10 2x + 4y = 12 FINAL:
2.105976
2.105976
linear_system
2
sinusoid
2.5
1
120
40
3.87059
Solve this system for x: 3.8705904774487396x + 1y = 10 2x + 4y = 12 FINAL:
2.076787
2.076787
linear_system
2
sinusoid
2.5
1
120
41
3.918552
Solve this system for x: 3.9185522633027055x + 1y = 10 2x + 4y = 12 FINAL:
2.04765
2.04765
linear_system
2
sinusoid
2.5
1
120
42
3.967298
Solve this system for x: 3.967298435384928x + 1y = 10 2x + 4y = 12 FINAL:
2.018863
2.018863
linear_system
2
sinusoid
2.5
1
120
43
4.01636
Solve this system for x: 4.016359541410887x + 1y = 10 2x + 4y = 12 FINAL:
1.990695
1.990695
linear_system
2
sinusoid
2.5
1
120
44
4.065263
Solve this system for x: 4.065263096110026x + 1y = 10 2x + 4y = 12 FINAL:
1.963389
1.963389
linear_system
2
sinusoid
2.5
1
120
45
4.113538
Solve this system for x: 4.113538131517187x + 1y = 10 2x + 4y = 12 FINAL:
1.93716
1.93716
linear_system
2
sinusoid
2.5
1
120
46
4.16072
Solve this system for x: 4.160719732651581x + 1y = 10 2x + 4y = 12 FINAL:
1.912192
1.912192
linear_system
2
sinusoid
2.5
1
120
47
4.206354
Solve this system for x: 4.206353514902197x + 1y = 10 2x + 4y = 12 FINAL:
1.888649
1.888649
linear_system
2
sinusoid
2.5
1
120
48
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
1
120
49
4.291239
Solve this system for x: 4.291238848433901x + 1y = 10 2x + 4y = 12 FINAL:
1.846362
1.846362
linear_system
2
sinusoid
2.5
1
120
50
4.329673
Solve this system for x: 4.329672907550035x + 1y = 10 2x + 4y = 12 FINAL:
1.827832
1.827832
linear_system
2
sinusoid
2.5
1
120
51
4.364932
Solve this system for x: 4.364932036348918x + 1y = 10 2x + 4y = 12 FINAL:
1.811157
1.811157
linear_system
2
sinusoid
2.5
1
120
52
4.396677
Solve this system for x: 4.3966766701456175x + 1y = 10 2x + 4y = 12 FINAL:
1.796403
1.796403
linear_system
2
sinusoid
2.5
1
120
53
4.424601
Solve this system for x: 4.424601090763289x + 1y = 10 2x + 4y = 12 FINAL:
1.783621
1.783621
linear_system
2
sinusoid
2.5
1
120
54
4.448436
Solve this system for x: 4.448436370766344x + 1y = 10 2x + 4y = 12 FINAL:
1.772854
1.772854
linear_system
2
sinusoid
2.5
1
120
55
4.467953
Solve this system for x: 4.4679529633786625x + 1y = 10 2x + 4y = 12 FINAL:
1.764134
1.764134
linear_system
2
sinusoid
2.5
1
120
56
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
1
120
57
4.493322
Solve this system for x: 4.49332166604244x + 1y = 10 2x + 4y = 12 FINAL:
1.752927
1.752927
linear_system
2
sinusoid
2.5
1
120
58
4.498929
Solve this system for x: 4.498929461619301x + 1y = 10 2x + 4y = 12 FINAL:
1.750468
1.750468
linear_system
2
sinusoid
2.5
1
120
59
4.499732
Solve this system for x: 4.499732293738183x + 1y = 10 2x + 4y = 12 FINAL:
1.750117
1.750117
linear_system
2
sinusoid
2.5
1
120
60
4.495722
Solve this system for x: 4.4957224306869055x + 1y = 10 2x + 4y = 12 FINAL:
1.751873
1.751873
linear_system
2
sinusoid
2.5
1
120
61
4.486938
Solve this system for x: 4.486938489638667x + 1y = 10 2x + 4y = 12 FINAL:
1.755733
1.755733
linear_system
2
sinusoid
2.5
1
120
62
4.473465
Solve this system for x: 4.473465064747553x + 1y = 10 2x + 4y = 12 FINAL:
1.761687
1.761687
linear_system
2
sinusoid
2.5
1
120
63
4.455432
Solve this system for x: 4.455431912460588x + 1y = 10 2x + 4y = 12 FINAL:
1.769718
1.769718
linear_system
2
sinusoid
2.5
2
120
0
4.433013
Solve this system for x: 4.43301270189222x + 1y = 10 2x + 4y = 12 FINAL:
1.779806
1.779806
linear_system
2
sinusoid
2.5
2
120
1
4.37592
Solve this system for x: 4.375919903739489x + 1y = 10 2x + 4y = 12 FINAL:
1.806023
1.806023
linear_system
2
sinusoid
2.5
2
120
2
4.304381
Solve this system for x: 4.304380714504361x + 1y = 10 2x + 4y = 12 FINAL:
1.839984
1.839984
linear_system
2
sinusoid
2.5
2
120
3
4.221144
Solve this system for x: 4.221144345109501x + 1y = 10 2x + 4y = 12 FINAL:
1.881142
1.881142
linear_system
2
sinusoid
2.5
2
120
4
4.12941
Solve this system for x: 4.129409522551261x + 1y = 10 2x + 4y = 12 FINAL:
1.928688
1.928688
linear_system
2
sinusoid
2.5
2
120
5
4.032702
Solve this system for x: 4.0327015646150715x + 1y = 10 2x + 4y = 12 FINAL:
1.981486
1.981486
linear_system
2
sinusoid
2.5
2
120
6
3.934737
Solve this system for x: 3.9347369038899744x + 1y = 10 2x + 4y = 12 FINAL:
2.038002
2.038002
linear_system
2
sinusoid
2.5
2
120
7
3.83928
Solve this system for x: 3.8392802673484194x + 1y = 10 2x + 4y = 12 FINAL:
2.09626
2.09626
linear_system
2
sinusoid
2.5
2
120
8
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
2
120
9
3.670327
Solve this system for x: 3.670327092449966x + 1y = 10 2x + 4y = 12 FINAL:
2.207974
2.207974
linear_system
2
sinusoid
2.5
2
120
10
3.603323
Solve this system for x: 3.6033233298543825x + 1y = 10 2x + 4y = 12 FINAL:
2.255646
2.255646
linear_system
2
sinusoid
2.5
2
120
11
3.551564
Solve this system for x: 3.551563629233656x + 1y = 10 2x + 4y = 12 FINAL:
2.293906
2.293906
linear_system
2
sinusoid
2.5
2
120
12
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
2
120
13
3.501071
Solve this system for x: 3.501070538380698x + 1y = 10 2x + 4y = 12 FINAL:
2.332501
2.332501
linear_system
2
sinusoid
2.5
2
120
14
3.504278
Solve this system for x: 3.5042775693130945x + 1y = 10 2x + 4y = 12 FINAL:
2.330011
2.330011
linear_system
2
sinusoid
2.5
2
120
15
3.526535
Solve this system for x: 3.5265349352524473x + 1y = 10 2x + 4y = 12 FINAL:
2.312876
2.312876
linear_system
2
sinusoid
2.5
2
120
16
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
2
120
17
3.62408
Solve this system for x: 3.6240800962605113x + 1y = 10 2x + 4y = 12 FINAL:
2.24066
2.24066
linear_system
2
sinusoid
2.5
2
120
18
3.695619
Solve this system for x: 3.6956192854956393x + 1y = 10 2x + 4y = 12 FINAL:
2.190499
2.190499
linear_system
2
sinusoid
2.5
2
120
19
3.778856
Solve this system for x: 3.778855654890499x + 1y = 10 2x + 4y = 12 FINAL:
2.134891
2.134891
linear_system
2
sinusoid
2.5
2
120
20
3.87059
Solve this system for x: 3.8705904774487396x + 1y = 10 2x + 4y = 12 FINAL:
2.076787
2.076787
linear_system
2
sinusoid
2.5
2
120
21
3.967298
Solve this system for x: 3.967298435384928x + 1y = 10 2x + 4y = 12 FINAL:
2.018863
2.018863
linear_system
2
sinusoid
2.5
2
120
22
4.065263
Solve this system for x: 4.065263096110026x + 1y = 10 2x + 4y = 12 FINAL:
1.963389
1.963389
linear_system
2
sinusoid
2.5
2
120
23
4.16072
Solve this system for x: 4.160719732651581x + 1y = 10 2x + 4y = 12 FINAL:
1.912192
1.912192
linear_system
2
sinusoid
2.5
2
120
24
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
2
120
25
4.329673
Solve this system for x: 4.329672907550035x + 1y = 10 2x + 4y = 12 FINAL:
1.827832
1.827832
linear_system
2
sinusoid
2.5
2
120
26
4.396677
Solve this system for x: 4.3966766701456175x + 1y = 10 2x + 4y = 12 FINAL:
1.796403
1.796403
linear_system
2
sinusoid
2.5
2
120
27
4.448436
Solve this system for x: 4.448436370766344x + 1y = 10 2x + 4y = 12 FINAL:
1.772854
1.772854
linear_system
2
sinusoid
2.5
2
120
28
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
2
120
29
4.498929
Solve this system for x: 4.498929461619301x + 1y = 10 2x + 4y = 12 FINAL:
1.750468
1.750468
linear_system
2
sinusoid
2.5
2
120
30
4.495722
Solve this system for x: 4.4957224306869055x + 1y = 10 2x + 4y = 12 FINAL:
1.751873
1.751873
linear_system
2
sinusoid
2.5
2
120
31
4.473465
Solve this system for x: 4.473465064747553x + 1y = 10 2x + 4y = 12 FINAL:
1.761687
1.761687
linear_system
2
sinusoid
2.5
2
120
32
4.433013
Solve this system for x: 4.43301270189222x + 1y = 10 2x + 4y = 12 FINAL:
1.779806
1.779806
linear_system
2
sinusoid
2.5
2
120
33
4.37592
Solve this system for x: 4.375919903739488x + 1y = 10 2x + 4y = 12 FINAL:
1.806023
1.806023
linear_system
2
sinusoid
2.5
2
120
34
4.304381
Solve this system for x: 4.304380714504361x + 1y = 10 2x + 4y = 12 FINAL:
1.839984
1.839984
linear_system
2
sinusoid
2.5
2
120
35
4.221144
Solve this system for x: 4.221144345109501x + 1y = 10 2x + 4y = 12 FINAL:
1.881142
1.881142