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
16
120
44
4.433013
Solve for x: 4.433012701892222x + 2 = 18 FINAL:
3.609284
3.609284
linear_solve
2
sinusoid
2.5
16
120
45
3.75
Solve for x: 3.7500000000000013x + 2 = 18 FINAL:
4.266667
4.266667
linear_solve
2
sinusoid
2.5
16
120
46
3.566987
Solve for x: 3.5669872981077786x + 2 = 18 FINAL:
4.485578
4.485578
linear_solve
2
sinusoid
2.5
16
120
47
4.25
Solve for x: 4.25x + 2 = 18 FINAL:
3.764706
3.764706
linear_solve
2
sinusoid
2.5
16
120
48
4.433013
Solve for x: 4.4330127018922205x + 2 = 18 FINAL:
3.609284
3.609284
linear_solve
2
sinusoid
2.5
16
120
49
3.75
Solve for x: 3.7500000000000044x + 2 = 18 FINAL:
4.266667
4.266667
linear_solve
2
sinusoid
2.5
16
120
50
3.566987
Solve for x: 3.5669872981077804x + 2 = 18 FINAL:
4.485578
4.485578
linear_solve
2
sinusoid
2.5
16
120
51
4.25
Solve for x: 4.2499999999999964x + 2 = 18 FINAL:
3.764706
3.764706
linear_solve
2
sinusoid
2.5
16
120
52
4.433013
Solve for x: 4.433012701892219x + 2 = 18 FINAL:
3.609284
3.609284
linear_solve
2
sinusoid
2.5
16
120
53
3.75
Solve for x: 3.7500000000000018x + 2 = 18 FINAL:
4.266667
4.266667
linear_solve
2
sinusoid
2.5
16
120
54
3.566987
Solve for x: 3.566987298107778x + 2 = 18 FINAL:
4.485578
4.485578
linear_solve
2
sinusoid
2.5
16
120
55
4.25
Solve for x: 4.25x + 2 = 18 FINAL:
3.764706
3.764706
linear_solve
2
sinusoid
2.5
16
120
56
4.433013
Solve for x: 4.4330127018922205x + 2 = 18 FINAL:
3.609284
3.609284
linear_solve
2
sinusoid
2.5
16
120
57
3.75
Solve for x: 3.750000000000005x + 2 = 18 FINAL:
4.266667
4.266667
linear_solve
2
sinusoid
2.5
16
120
58
3.566987
Solve for x: 3.56698729810778x + 2 = 18 FINAL:
4.485578
4.485578
linear_solve
2
sinusoid
2.5
16
120
59
4.25
Solve for x: 4.2499999999999964x + 2 = 18 FINAL:
3.764706
3.764706
linear_solve
2
sinusoid
2.5
16
120
60
4.433013
Solve for x: 4.433012701892222x + 2 = 18 FINAL:
3.609284
3.609284
linear_solve
2
sinusoid
2.5
16
120
61
3.75
Solve for x: 3.7500000000000018x + 2 = 18 FINAL:
4.266667
4.266667
linear_solve
2
sinusoid
2.5
16
120
62
3.566987
Solve for x: 3.566987298107778x + 2 = 18 FINAL:
4.485578
4.485578
linear_solve
2
sinusoid
2.5
16
120
63
4.25
Solve for x: 4.25x + 2 = 18 FINAL:
3.764706
3.764706
linear_solve
2
sinusoid
2.5
1
240
0
3.566987
Solve for x: 3.566987298107781x + 2 = 18 FINAL:
4.485578
4.485578
linear_solve
2
sinusoid
2.5
1
240
1
3.544568
Solve for x: 3.544568087539412x + 2 = 18 FINAL:
4.513949
4.513949
linear_solve
2
sinusoid
2.5
1
240
2
3.526535
Solve for x: 3.5265349352524473x + 2 = 18 FINAL:
4.537031
4.537031
linear_solve
2
sinusoid
2.5
1
240
3
3.513062
Solve for x: 3.513061510361333x + 2 = 18 FINAL:
4.554432
4.554432
linear_solve
2
sinusoid
2.5
1
240
4
3.504278
Solve for x: 3.504277569313095x + 2 = 18 FINAL:
4.565848
4.565848
linear_solve
2
sinusoid
2.5
1
240
5
3.500268
Solve for x: 3.500267706261817x + 2 = 18 FINAL:
4.571079
4.571079
linear_solve
2
sinusoid
2.5
1
240
6
3.501071
Solve for x: 3.501070538380698x + 2 = 18 FINAL:
4.570031
4.570031
linear_solve
2
sinusoid
2.5
1
240
7
3.506678
Solve for x: 3.5066783339575607x + 2 = 18 FINAL:
4.562722
4.562722
linear_solve
2
sinusoid
2.5
1
240
8
3.517037
Solve for x: 3.5170370868554657x + 2 = 18 FINAL:
4.549284
4.549284
linear_solve
2
sinusoid
2.5
1
240
9
3.532047
Solve for x: 3.532047036621337x + 2 = 18 FINAL:
4.529951
4.529951
linear_solve
2
sinusoid
2.5
1
240
10
3.551564
Solve for x: 3.5515636292336557x + 2 = 18 FINAL:
4.505058
4.505058
linear_solve
2
sinusoid
2.5
1
240
11
3.575399
Solve for x: 3.57539890923671x + 2 = 18 FINAL:
4.475025
4.475025
linear_solve
2
sinusoid
2.5
1
240
12
3.603323
Solve for x: 3.6033233298543825x + 2 = 18 FINAL:
4.440345
4.440345
linear_solve
2
sinusoid
2.5
1
240
13
3.635068
Solve for x: 3.635067963651082x + 2 = 18 FINAL:
4.401568
4.401568
linear_solve
2
sinusoid
2.5
1
240
14
3.670327
Solve for x: 3.6703270924499654x + 2 = 18 FINAL:
4.359284
4.359284
linear_solve
2
sinusoid
2.5
1
240
15
3.708761
Solve for x: 3.7087611515660983x + 2 = 18 FINAL:
4.314109
4.314109
linear_solve
2
sinusoid
2.5
1
240
16
3.75
Solve for x: 3.75x + 2 = 18 FINAL:
4.266667
4.266667
linear_solve
2
sinusoid
2.5
1
240
17
3.793646
Solve for x: 3.7936464850978027x + 2 = 18 FINAL:
4.217578
4.217578
linear_solve
2
sinusoid
2.5
1
240
18
3.83928
Solve for x: 3.839280267348419x + 2 = 18 FINAL:
4.167448
4.167448
linear_solve
2
sinusoid
2.5
1
240
19
3.886462
Solve for x: 3.886461868482813x + 2 = 18 FINAL:
4.116855
4.116855
linear_solve
2
sinusoid
2.5
1
240
20
3.934737
Solve for x: 3.9347369038899735x + 2 = 18 FINAL:
4.066346
4.066346
linear_solve
2
sinusoid
2.5
1
240
21
3.98364
Solve for x: 3.983640458589112x + 2 = 18 FINAL:
4.016427
4.016427
linear_solve
2
sinusoid
2.5
1
240
22
4.032702
Solve for x: 4.0327015646150715x + 2 = 18 FINAL:
3.967564
3.967564
linear_solve
2
sinusoid
2.5
1
240
23
4.081448
Solve for x: 4.081447736697294x + 2 = 18 FINAL:
3.920178
3.920178
linear_solve
2
sinusoid
2.5
1
240
24
4.12941
Solve for x: 4.12940952255126x + 2 = 18 FINAL:
3.874646
3.874646
linear_solve
2
sinusoid
2.5
1
240
25
4.176125
Solve for x: 4.1761250239606165x + 2 = 18 FINAL:
3.831303
3.831303
linear_solve
2
sinusoid
2.5
1
240
26
4.221144
Solve for x: 4.221144345109501x + 2 = 18 FINAL:
3.790441
3.790441
linear_solve
2
sinusoid
2.5
1
240
27
4.264034
Solve for x: 4.264033925325184x + 2 = 18 FINAL:
3.752315
3.752315
linear_solve
2
sinusoid
2.5
1
240
28
4.304381
Solve for x: 4.304380714504361x + 2 = 18 FINAL:
3.717143
3.717143
linear_solve
2
sinusoid
2.5
1
240
29
4.341796
Solve for x: 4.341796151011436x + 2 = 18 FINAL:
3.685111
3.685111
linear_solve
2
sinusoid
2.5
1
240
30
4.37592
Solve for x: 4.375919903739488x + 2 = 18 FINAL:
3.656374
3.656374
linear_solve
2
sinusoid
2.5
1
240
31
4.406423
Solve for x: 4.406423342295807x + 2 = 18 FINAL:
3.631063
3.631063
linear_solve
2
sinusoid
2.5
1
240
32
4.433013
Solve for x: 4.433012701892219x + 2 = 18 FINAL:
3.609284
3.609284
linear_solve
2
sinusoid
2.5
1
240
33
4.455432
Solve for x: 4.455431912460588x + 2 = 18 FINAL:
3.591122
3.591122
linear_solve
2
sinusoid
2.5
1
240
34
4.473465
Solve for x: 4.473465064747553x + 2 = 18 FINAL:
3.576646
3.576646
linear_solve
2
sinusoid
2.5
1
240
35
4.486938
Solve for x: 4.486938489638667x + 2 = 18 FINAL:
3.565906
3.565906
linear_solve
2
sinusoid
2.5
1
240
36
4.495722
Solve for x: 4.4957224306869055x + 2 = 18 FINAL:
3.558939
3.558939
linear_solve
2
sinusoid
2.5
1
240
37
4.499732
Solve for x: 4.499732293738183x + 2 = 18 FINAL:
3.555767
3.555767
linear_solve
2
sinusoid
2.5
1
240
38
4.498929
Solve for x: 4.498929461619301x + 2 = 18 FINAL:
3.556402
3.556402
linear_solve
2
sinusoid
2.5
1
240
39
4.493322
Solve for x: 4.49332166604244x + 2 = 18 FINAL:
3.56084
3.56084
linear_solve
2
sinusoid
2.5
1
240
40
4.482963
Solve for x: 4.482962913144534x + 2 = 18 FINAL:
3.569068
3.569068
linear_solve
2
sinusoid
2.5
1
240
41
4.467953
Solve for x: 4.467952963378663x + 2 = 18 FINAL:
3.581058
3.581058
linear_solve
2
sinusoid
2.5
1
240
42
4.448436
Solve for x: 4.448436370766345x + 2 = 18 FINAL:
3.596769
3.596769
linear_solve
2
sinusoid
2.5
1
240
43
4.424601
Solve for x: 4.42460109076329x + 2 = 18 FINAL:
3.616145
3.616145
linear_solve
2
sinusoid
2.5
1
240
44
4.396677
Solve for x: 4.396676670145618x + 2 = 18 FINAL:
3.639112
3.639112
linear_solve
2
sinusoid
2.5
1
240
45
4.364932
Solve for x: 4.364932036348918x + 2 = 18 FINAL:
3.665578
3.665578
linear_solve
2
sinusoid
2.5
1
240
46
4.329673
Solve for x: 4.329672907550035x + 2 = 18 FINAL:
3.695429
3.695429
linear_solve
2
sinusoid
2.5
1
240
47
4.291239
Solve for x: 4.291238848433901x + 2 = 18 FINAL:
3.728527
3.728527
linear_solve
2
sinusoid
2.5
1
240
48
4.25
Solve for x: 4.25x + 2 = 18 FINAL:
3.764706
3.764706
linear_solve
2
sinusoid
2.5
1
240
49
4.206354
Solve for x: 4.206353514902197x + 2 = 18 FINAL:
3.80377
3.80377
linear_solve
2
sinusoid
2.5
1
240
50
4.16072
Solve for x: 4.160719732651581x + 2 = 18 FINAL:
3.845489
3.845489
linear_solve
2
sinusoid
2.5
1
240
51
4.113538
Solve for x: 4.113538131517187x + 2 = 18 FINAL:
3.889596
3.889596
linear_solve
2
sinusoid
2.5
1
240
52
4.065263
Solve for x: 4.0652630961100265x + 2 = 18 FINAL:
3.935785
3.935785
linear_solve
2
sinusoid
2.5
1
240
53
4.01636
Solve for x: 4.016359541410889x + 2 = 18 FINAL:
3.983707
3.983707
linear_solve
2
sinusoid
2.5
1
240
54
3.967298
Solve for x: 3.9672984353849294x + 2 = 18 FINAL:
4.032971
4.032971
linear_solve
2
sinusoid
2.5
1
240
55
3.918552
Solve for x: 3.918552263302706x + 2 = 18 FINAL:
4.083141
4.083141
linear_solve
2
sinusoid
2.5
1
240
56
3.87059
Solve for x: 3.87059047744874x + 2 = 18 FINAL:
4.133736
4.133736
linear_solve
2
sinusoid
2.5
1
240
57
3.823875
Solve for x: 3.8238749760393835x + 2 = 18 FINAL:
4.184237
4.184237
linear_solve
2
sinusoid
2.5
1
240
58
3.778856
Solve for x: 3.7788556548904992x + 2 = 18 FINAL:
4.234086
4.234086
linear_solve
2
sinusoid
2.5
1
240
59
3.735966
Solve for x: 3.735966074674816x + 2 = 18 FINAL:
4.282694
4.282694
linear_solve
2
sinusoid
2.5
1
240
60
3.695619
Solve for x: 3.69561928549564x + 2 = 18 FINAL:
4.32945
4.32945
linear_solve
2
sinusoid
2.5
1
240
61
3.658204
Solve for x: 3.6582038489885647x + 2 = 18 FINAL:
4.373731
4.373731
linear_solve
2
sinusoid
2.5
1
240
62
3.62408
Solve for x: 3.6240800962605118x + 2 = 18 FINAL:
4.414913
4.414913
linear_solve
2
sinusoid
2.5
1
240
63
3.593577
Solve for x: 3.593576657704193x + 2 = 18 FINAL:
4.452389
4.452389
linear_solve
2
sinusoid
2.5
2
240
0
3.566987
Solve for x: 3.566987298107781x + 2 = 18 FINAL:
4.485578
4.485578
linear_solve
2
sinusoid
2.5
2
240
1
3.526535
Solve for x: 3.5265349352524473x + 2 = 18 FINAL:
4.537031
4.537031
linear_solve
2
sinusoid
2.5
2
240
2
3.504278
Solve for x: 3.504277569313095x + 2 = 18 FINAL:
4.565848
4.565848
linear_solve
2
sinusoid
2.5
2
240
3
3.501071
Solve for x: 3.501070538380698x + 2 = 18 FINAL:
4.570031
4.570031
linear_solve
2
sinusoid
2.5
2
240
4
3.517037
Solve for x: 3.5170370868554657x + 2 = 18 FINAL:
4.549284
4.549284
linear_solve
2
sinusoid
2.5
2
240
5
3.551564
Solve for x: 3.5515636292336557x + 2 = 18 FINAL:
4.505058
4.505058
linear_solve
2
sinusoid
2.5
2
240
6
3.603323
Solve for x: 3.6033233298543825x + 2 = 18 FINAL:
4.440345
4.440345
linear_solve
2
sinusoid
2.5
2
240
7
3.670327
Solve for x: 3.6703270924499654x + 2 = 18 FINAL:
4.359284
4.359284
linear_solve
2
sinusoid
2.5
2
240
8
3.75
Solve for x: 3.75x + 2 = 18 FINAL:
4.266667
4.266667
linear_solve
2
sinusoid
2.5
2
240
9
3.83928
Solve for x: 3.839280267348419x + 2 = 18 FINAL:
4.167448
4.167448
linear_solve
2
sinusoid
2.5
2
240
10
3.934737
Solve for x: 3.9347369038899735x + 2 = 18 FINAL:
4.066346
4.066346
linear_solve
2
sinusoid
2.5
2
240
11
4.032702
Solve for x: 4.0327015646150715x + 2 = 18 FINAL:
3.967564
3.967564
linear_solve
2
sinusoid
2.5
2
240
12
4.12941
Solve for x: 4.12940952255126x + 2 = 18 FINAL:
3.874646
3.874646
linear_solve
2
sinusoid
2.5
2
240
13
4.221144
Solve for x: 4.221144345109501x + 2 = 18 FINAL:
3.790441
3.790441
linear_solve
2
sinusoid
2.5
2
240
14
4.304381
Solve for x: 4.304380714504361x + 2 = 18 FINAL:
3.717143
3.717143
linear_solve
2
sinusoid
2.5
2
240
15
4.37592
Solve for x: 4.375919903739488x + 2 = 18 FINAL:
3.656374
3.656374