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
35
50
ground_truth
float64
3.56
10.3
symbolic_baseline_answer
float64
3.56
10.3
linear_solve
2
sinusoid
2.5
1
120
0
4.433013
Solve for x: 4.43301270189222x + 2 = 18 FINAL:
3.609284
3.609284
linear_solve
2
sinusoid
2.5
1
120
1
4.406423
Solve for x: 4.406423342295808x + 2 = 18 FINAL:
3.631063
3.631063
linear_solve
2
sinusoid
2.5
1
120
2
4.37592
Solve for x: 4.375919903739489x + 2 = 18 FINAL:
3.656374
3.656374
linear_solve
2
sinusoid
2.5
1
120
3
4.341796
Solve for x: 4.341796151011436x + 2 = 18 FINAL:
3.685111
3.685111
linear_solve
2
sinusoid
2.5
1
120
4
4.304381
Solve for x: 4.304380714504361x + 2 = 18 FINAL:
3.717143
3.717143
linear_solve
2
sinusoid
2.5
1
120
5
4.264034
Solve for x: 4.264033925325184x + 2 = 18 FINAL:
3.752315
3.752315
linear_solve
2
sinusoid
2.5
1
120
6
4.221144
Solve for x: 4.221144345109501x + 2 = 18 FINAL:
3.790441
3.790441
linear_solve
2
sinusoid
2.5
1
120
7
4.176125
Solve for x: 4.176125023960617x + 2 = 18 FINAL:
3.831303
3.831303
linear_solve
2
sinusoid
2.5
1
120
8
4.12941
Solve for x: 4.129409522551261x + 2 = 18 FINAL:
3.874646
3.874646
linear_solve
2
sinusoid
2.5
1
120
9
4.081448
Solve for x: 4.081447736697294x + 2 = 18 FINAL:
3.920178
3.920178
linear_solve
2
sinusoid
2.5
1
120
10
4.032702
Solve for x: 4.0327015646150715x + 2 = 18 FINAL:
3.967564
3.967564
linear_solve
2
sinusoid
2.5
1
120
11
3.98364
Solve for x: 3.9836404585891123x + 2 = 18 FINAL:
4.016427
4.016427
linear_solve
2
sinusoid
2.5
1
120
12
3.934737
Solve for x: 3.9347369038899744x + 2 = 18 FINAL:
4.066346
4.066346
linear_solve
2
sinusoid
2.5
1
120
13
3.886462
Solve for x: 3.8864618684828134x + 2 = 18 FINAL:
4.116855
4.116855
linear_solve
2
sinusoid
2.5
1
120
14
3.83928
Solve for x: 3.8392802673484194x + 2 = 18 FINAL:
4.167448
4.167448
linear_solve
2
sinusoid
2.5
1
120
15
3.793646
Solve for x: 3.7936464850978027x + 2 = 18 FINAL:
4.217578
4.217578
linear_solve
2
sinusoid
2.5
1
120
16
3.75
Solve for x: 3.75x + 2 = 18 FINAL:
4.266667
4.266667
linear_solve
2
sinusoid
2.5
1
120
17
3.708761
Solve for x: 3.708761151566099x + 2 = 18 FINAL:
4.314109
4.314109
linear_solve
2
sinusoid
2.5
1
120
18
3.670327
Solve for x: 3.670327092449966x + 2 = 18 FINAL:
4.359284
4.359284
linear_solve
2
sinusoid
2.5
1
120
19
3.635068
Solve for x: 3.6350679636510823x + 2 = 18 FINAL:
4.401568
4.401568
linear_solve
2
sinusoid
2.5
1
120
20
3.603323
Solve for x: 3.6033233298543825x + 2 = 18 FINAL:
4.440345
4.440345
linear_solve
2
sinusoid
2.5
1
120
21
3.575399
Solve for x: 3.5753989092367107x + 2 = 18 FINAL:
4.475025
4.475025
linear_solve
2
sinusoid
2.5
1
120
22
3.551564
Solve for x: 3.551563629233656x + 2 = 18 FINAL:
4.505058
4.505058
linear_solve
2
sinusoid
2.5
1
120
23
3.532047
Solve for x: 3.5320470366213375x + 2 = 18 FINAL:
4.529951
4.529951
linear_solve
2
sinusoid
2.5
1
120
24
3.517037
Solve for x: 3.5170370868554657x + 2 = 18 FINAL:
4.549284
4.549284
linear_solve
2
sinusoid
2.5
1
120
25
3.506678
Solve for x: 3.5066783339575607x + 2 = 18 FINAL:
4.562722
4.562722
linear_solve
2
sinusoid
2.5
1
120
26
3.501071
Solve for x: 3.501070538380698x + 2 = 18 FINAL:
4.570031
4.570031
linear_solve
2
sinusoid
2.5
1
120
27
3.500268
Solve for x: 3.500267706261817x + 2 = 18 FINAL:
4.571079
4.571079
linear_solve
2
sinusoid
2.5
1
120
28
3.504278
Solve for x: 3.5042775693130945x + 2 = 18 FINAL:
4.565848
4.565848
linear_solve
2
sinusoid
2.5
1
120
29
3.513062
Solve for x: 3.513061510361333x + 2 = 18 FINAL:
4.554432
4.554432
linear_solve
2
sinusoid
2.5
1
120
30
3.526535
Solve for x: 3.5265349352524473x + 2 = 18 FINAL:
4.537031
4.537031
linear_solve
2
sinusoid
2.5
1
120
31
3.544568
Solve for x: 3.544568087539412x + 2 = 18 FINAL:
4.513949
4.513949
linear_solve
2
sinusoid
2.5
1
120
32
3.566987
Solve for x: 3.5669872981077804x + 2 = 18 FINAL:
4.485578
4.485578
linear_solve
2
sinusoid
2.5
1
120
33
3.593577
Solve for x: 3.593576657704192x + 2 = 18 FINAL:
4.452389
4.452389
linear_solve
2
sinusoid
2.5
1
120
34
3.62408
Solve for x: 3.6240800962605113x + 2 = 18 FINAL:
4.414913
4.414913
linear_solve
2
sinusoid
2.5
1
120
35
3.658204
Solve for x: 3.658203848988564x + 2 = 18 FINAL:
4.373731
4.373731
linear_solve
2
sinusoid
2.5
1
120
36
3.695619
Solve for x: 3.6956192854956393x + 2 = 18 FINAL:
4.32945
4.32945
linear_solve
2
sinusoid
2.5
1
120
37
3.735966
Solve for x: 3.7359660746748156x + 2 = 18 FINAL:
4.282694
4.282694
linear_solve
2
sinusoid
2.5
1
120
38
3.778856
Solve for x: 3.778855654890499x + 2 = 18 FINAL:
4.234086
4.234086
linear_solve
2
sinusoid
2.5
1
120
39
3.823875
Solve for x: 3.823874976039383x + 2 = 18 FINAL:
4.184237
4.184237
linear_solve
2
sinusoid
2.5
1
120
40
3.87059
Solve for x: 3.8705904774487396x + 2 = 18 FINAL:
4.133736
4.133736
linear_solve
2
sinusoid
2.5
1
120
41
3.918552
Solve for x: 3.9185522633027055x + 2 = 18 FINAL:
4.083141
4.083141
linear_solve
2
sinusoid
2.5
1
120
42
3.967298
Solve for x: 3.967298435384928x + 2 = 18 FINAL:
4.032971
4.032971
linear_solve
2
sinusoid
2.5
1
120
43
4.01636
Solve for x: 4.016359541410887x + 2 = 18 FINAL:
3.983707
3.983707
linear_solve
2
sinusoid
2.5
1
120
44
4.065263
Solve for x: 4.065263096110026x + 2 = 18 FINAL:
3.935785
3.935785
linear_solve
2
sinusoid
2.5
1
120
45
4.113538
Solve for x: 4.113538131517187x + 2 = 18 FINAL:
3.889596
3.889596
linear_solve
2
sinusoid
2.5
1
120
46
4.16072
Solve for x: 4.160719732651581x + 2 = 18 FINAL:
3.845489
3.845489
linear_solve
2
sinusoid
2.5
1
120
47
4.206354
Solve for x: 4.206353514902197x + 2 = 18 FINAL:
3.80377
3.80377
linear_solve
2
sinusoid
2.5
1
120
48
4.25
Solve for x: 4.25x + 2 = 18 FINAL:
3.764706
3.764706
linear_solve
2
sinusoid
2.5
1
120
49
4.291239
Solve for x: 4.291238848433901x + 2 = 18 FINAL:
3.728527
3.728527
linear_solve
2
sinusoid
2.5
1
120
50
4.329673
Solve for x: 4.329672907550035x + 2 = 18 FINAL:
3.695429
3.695429
linear_solve
2
sinusoid
2.5
1
120
51
4.364932
Solve for x: 4.364932036348918x + 2 = 18 FINAL:
3.665578
3.665578
linear_solve
2
sinusoid
2.5
1
120
52
4.396677
Solve for x: 4.3966766701456175x + 2 = 18 FINAL:
3.639112
3.639112
linear_solve
2
sinusoid
2.5
1
120
53
4.424601
Solve for x: 4.424601090763289x + 2 = 18 FINAL:
3.616145
3.616145
linear_solve
2
sinusoid
2.5
1
120
54
4.448436
Solve for x: 4.448436370766344x + 2 = 18 FINAL:
3.596769
3.596769
linear_solve
2
sinusoid
2.5
1
120
55
4.467953
Solve for x: 4.4679529633786625x + 2 = 18 FINAL:
3.581058
3.581058
linear_solve
2
sinusoid
2.5
1
120
56
4.482963
Solve for x: 4.482962913144534x + 2 = 18 FINAL:
3.569068
3.569068
linear_solve
2
sinusoid
2.5
1
120
57
4.493322
Solve for x: 4.49332166604244x + 2 = 18 FINAL:
3.56084
3.56084
linear_solve
2
sinusoid
2.5
1
120
58
4.498929
Solve for x: 4.498929461619301x + 2 = 18 FINAL:
3.556402
3.556402
linear_solve
2
sinusoid
2.5
1
120
59
4.499732
Solve for x: 4.499732293738183x + 2 = 18 FINAL:
3.555767
3.555767
linear_solve
2
sinusoid
2.5
1
120
60
4.495722
Solve for x: 4.4957224306869055x + 2 = 18 FINAL:
3.558939
3.558939
linear_solve
2
sinusoid
2.5
1
120
61
4.486938
Solve for x: 4.486938489638667x + 2 = 18 FINAL:
3.565906
3.565906
linear_solve
2
sinusoid
2.5
1
120
62
4.473465
Solve for x: 4.473465064747553x + 2 = 18 FINAL:
3.576646
3.576646
linear_solve
2
sinusoid
2.5
1
120
63
4.455432
Solve for x: 4.455431912460588x + 2 = 18 FINAL:
3.591122
3.591122
linear_solve
2
sinusoid
2.5
2
120
0
4.433013
Solve for x: 4.43301270189222x + 2 = 18 FINAL:
3.609284
3.609284
linear_solve
2
sinusoid
2.5
2
120
1
4.37592
Solve for x: 4.375919903739489x + 2 = 18 FINAL:
3.656374
3.656374
linear_solve
2
sinusoid
2.5
2
120
2
4.304381
Solve for x: 4.304380714504361x + 2 = 18 FINAL:
3.717143
3.717143
linear_solve
2
sinusoid
2.5
2
120
3
4.221144
Solve for x: 4.221144345109501x + 2 = 18 FINAL:
3.790441
3.790441
linear_solve
2
sinusoid
2.5
2
120
4
4.12941
Solve for x: 4.129409522551261x + 2 = 18 FINAL:
3.874646
3.874646
linear_solve
2
sinusoid
2.5
2
120
5
4.032702
Solve for x: 4.0327015646150715x + 2 = 18 FINAL:
3.967564
3.967564
linear_solve
2
sinusoid
2.5
2
120
6
3.934737
Solve for x: 3.9347369038899744x + 2 = 18 FINAL:
4.066346
4.066346
linear_solve
2
sinusoid
2.5
2
120
7
3.83928
Solve for x: 3.8392802673484194x + 2 = 18 FINAL:
4.167448
4.167448
linear_solve
2
sinusoid
2.5
2
120
8
3.75
Solve for x: 3.75x + 2 = 18 FINAL:
4.266667
4.266667
linear_solve
2
sinusoid
2.5
2
120
9
3.670327
Solve for x: 3.670327092449966x + 2 = 18 FINAL:
4.359284
4.359284
linear_solve
2
sinusoid
2.5
2
120
10
3.603323
Solve for x: 3.6033233298543825x + 2 = 18 FINAL:
4.440345
4.440345
linear_solve
2
sinusoid
2.5
2
120
11
3.551564
Solve for x: 3.551563629233656x + 2 = 18 FINAL:
4.505058
4.505058
linear_solve
2
sinusoid
2.5
2
120
12
3.517037
Solve for x: 3.5170370868554657x + 2 = 18 FINAL:
4.549284
4.549284
linear_solve
2
sinusoid
2.5
2
120
13
3.501071
Solve for x: 3.501070538380698x + 2 = 18 FINAL:
4.570031
4.570031
linear_solve
2
sinusoid
2.5
2
120
14
3.504278
Solve for x: 3.5042775693130945x + 2 = 18 FINAL:
4.565848
4.565848
linear_solve
2
sinusoid
2.5
2
120
15
3.526535
Solve for x: 3.5265349352524473x + 2 = 18 FINAL:
4.537031
4.537031
linear_solve
2
sinusoid
2.5
2
120
16
3.566987
Solve for x: 3.5669872981077804x + 2 = 18 FINAL:
4.485578
4.485578
linear_solve
2
sinusoid
2.5
2
120
17
3.62408
Solve for x: 3.6240800962605113x + 2 = 18 FINAL:
4.414913
4.414913
linear_solve
2
sinusoid
2.5
2
120
18
3.695619
Solve for x: 3.6956192854956393x + 2 = 18 FINAL:
4.32945
4.32945
linear_solve
2
sinusoid
2.5
2
120
19
3.778856
Solve for x: 3.778855654890499x + 2 = 18 FINAL:
4.234086
4.234086
linear_solve
2
sinusoid
2.5
2
120
20
3.87059
Solve for x: 3.8705904774487396x + 2 = 18 FINAL:
4.133736
4.133736
linear_solve
2
sinusoid
2.5
2
120
21
3.967298
Solve for x: 3.967298435384928x + 2 = 18 FINAL:
4.032971
4.032971
linear_solve
2
sinusoid
2.5
2
120
22
4.065263
Solve for x: 4.065263096110026x + 2 = 18 FINAL:
3.935785
3.935785
linear_solve
2
sinusoid
2.5
2
120
23
4.16072
Solve for x: 4.160719732651581x + 2 = 18 FINAL:
3.845489
3.845489
linear_solve
2
sinusoid
2.5
2
120
24
4.25
Solve for x: 4.25x + 2 = 18 FINAL:
3.764706
3.764706
linear_solve
2
sinusoid
2.5
2
120
25
4.329673
Solve for x: 4.329672907550035x + 2 = 18 FINAL:
3.695429
3.695429
linear_solve
2
sinusoid
2.5
2
120
26
4.396677
Solve for x: 4.3966766701456175x + 2 = 18 FINAL:
3.639112
3.639112
linear_solve
2
sinusoid
2.5
2
120
27
4.448436
Solve for x: 4.448436370766344x + 2 = 18 FINAL:
3.596769
3.596769
linear_solve
2
sinusoid
2.5
2
120
28
4.482963
Solve for x: 4.482962913144534x + 2 = 18 FINAL:
3.569068
3.569068
linear_solve
2
sinusoid
2.5
2
120
29
4.498929
Solve for x: 4.498929461619301x + 2 = 18 FINAL:
3.556402
3.556402
linear_solve
2
sinusoid
2.5
2
120
30
4.495722
Solve for x: 4.4957224306869055x + 2 = 18 FINAL:
3.558939
3.558939
linear_solve
2
sinusoid
2.5
2
120
31
4.473465
Solve for x: 4.473465064747553x + 2 = 18 FINAL:
3.576646
3.576646
linear_solve
2
sinusoid
2.5
2
120
32
4.433013
Solve for x: 4.43301270189222x + 2 = 18 FINAL:
3.609284
3.609284
linear_solve
2
sinusoid
2.5
2
120
33
4.37592
Solve for x: 4.375919903739488x + 2 = 18 FINAL:
3.656374
3.656374
linear_solve
2
sinusoid
2.5
2
120
34
4.304381
Solve for x: 4.304380714504361x + 2 = 18 FINAL:
3.717143
3.717143
linear_solve
2
sinusoid
2.5
2
120
35
4.221144
Solve for x: 4.221144345109501x + 2 = 18 FINAL:
3.790441
3.790441