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
1
sinusoid
2.5
1
240
40
4.482963
Solve for x: 4.482962913144534x + 5 = 41 FINAL:
8.030403
8.030403
linear_solve
1
sinusoid
2.5
1
240
41
4.467953
Solve for x: 4.467952963378663x + 5 = 41 FINAL:
8.057381
8.057381
linear_solve
1
sinusoid
2.5
1
240
42
4.448436
Solve for x: 4.448436370766345x + 5 = 41 FINAL:
8.092731
8.092731
linear_solve
1
sinusoid
2.5
1
240
43
4.424601
Solve for x: 4.42460109076329x + 5 = 41 FINAL:
8.136327
8.136327
linear_solve
1
sinusoid
2.5
1
240
44
4.396677
Solve for x: 4.396676670145618x + 5 = 41 FINAL:
8.188003
8.188003
linear_solve
1
sinusoid
2.5
1
240
45
4.364932
Solve for x: 4.364932036348918x + 5 = 41 FINAL:
8.247551
8.247551
linear_solve
1
sinusoid
2.5
1
240
46
4.329673
Solve for x: 4.329672907550035x + 5 = 41 FINAL:
8.314716
8.314716
linear_solve
1
sinusoid
2.5
1
240
47
4.291239
Solve for x: 4.291238848433901x + 5 = 41 FINAL:
8.389186
8.389186
linear_solve
1
sinusoid
2.5
1
240
48
4.25
Solve for x: 4.25x + 5 = 41 FINAL:
8.470588
8.470588
linear_solve
1
sinusoid
2.5
1
240
49
4.206354
Solve for x: 4.206353514902197x + 5 = 41 FINAL:
8.558482
8.558482
linear_solve
1
sinusoid
2.5
1
240
50
4.16072
Solve for x: 4.160719732651581x + 5 = 41 FINAL:
8.652349
8.652349
linear_solve
1
sinusoid
2.5
1
240
51
4.113538
Solve for x: 4.113538131517187x + 5 = 41 FINAL:
8.75159
8.75159
linear_solve
1
sinusoid
2.5
1
240
52
4.065263
Solve for x: 4.0652630961100265x + 5 = 41 FINAL:
8.855515
8.855515
linear_solve
1
sinusoid
2.5
1
240
53
4.01636
Solve for x: 4.016359541410889x + 5 = 41 FINAL:
8.963341
8.963341
linear_solve
1
sinusoid
2.5
1
240
54
3.967298
Solve for x: 3.9672984353849294x + 5 = 41 FINAL:
9.074185
9.074185
linear_solve
1
sinusoid
2.5
1
240
55
3.918552
Solve for x: 3.918552263302706x + 5 = 41 FINAL:
9.187066
9.187066
linear_solve
1
sinusoid
2.5
1
240
56
3.87059
Solve for x: 3.87059047744874x + 5 = 41 FINAL:
9.300906
9.300906
linear_solve
1
sinusoid
2.5
1
240
57
3.823875
Solve for x: 3.8238749760393835x + 5 = 41 FINAL:
9.414534
9.414534
linear_solve
1
sinusoid
2.5
1
240
58
3.778856
Solve for x: 3.7788556548904992x + 5 = 41 FINAL:
9.526694
9.526694
linear_solve
1
sinusoid
2.5
1
240
59
3.735966
Solve for x: 3.735966074674816x + 5 = 41 FINAL:
9.636062
9.636062
linear_solve
1
sinusoid
2.5
1
240
60
3.695619
Solve for x: 3.69561928549564x + 5 = 41 FINAL:
9.741263
9.741263
linear_solve
1
sinusoid
2.5
1
240
61
3.658204
Solve for x: 3.6582038489885647x + 5 = 41 FINAL:
9.840895
9.840895
linear_solve
1
sinusoid
2.5
1
240
62
3.62408
Solve for x: 3.6240800962605118x + 5 = 41 FINAL:
9.933555
9.933555
linear_solve
1
sinusoid
2.5
1
240
63
3.593577
Solve for x: 3.593576657704193x + 5 = 41 FINAL:
10.017875
10.017875
linear_solve
1
sinusoid
2.5
2
240
0
3.566987
Solve for x: 3.566987298107781x + 5 = 41 FINAL:
10.092551
10.092551
linear_solve
1
sinusoid
2.5
2
240
1
3.526535
Solve for x: 3.5265349352524473x + 5 = 41 FINAL:
10.208321
10.208321
linear_solve
1
sinusoid
2.5
2
240
2
3.504278
Solve for x: 3.504277569313095x + 5 = 41 FINAL:
10.273159
10.273159
linear_solve
1
sinusoid
2.5
2
240
3
3.501071
Solve for x: 3.501070538380698x + 5 = 41 FINAL:
10.282569
10.282569
linear_solve
1
sinusoid
2.5
2
240
4
3.517037
Solve for x: 3.5170370868554657x + 5 = 41 FINAL:
10.235889
10.235889
linear_solve
1
sinusoid
2.5
2
240
5
3.551564
Solve for x: 3.5515636292336557x + 5 = 41 FINAL:
10.13638
10.13638
linear_solve
1
sinusoid
2.5
2
240
6
3.603323
Solve for x: 3.6033233298543825x + 5 = 41 FINAL:
9.990777
9.990777
linear_solve
1
sinusoid
2.5
2
240
7
3.670327
Solve for x: 3.6703270924499654x + 5 = 41 FINAL:
9.80839
9.80839
linear_solve
1
sinusoid
2.5
2
240
8
3.75
Solve for x: 3.75x + 5 = 41 FINAL:
9.6
9.6
linear_solve
1
sinusoid
2.5
2
240
9
3.83928
Solve for x: 3.839280267348419x + 5 = 41 FINAL:
9.376757
9.376757
linear_solve
1
sinusoid
2.5
2
240
10
3.934737
Solve for x: 3.9347369038899735x + 5 = 41 FINAL:
9.149278
9.149278
linear_solve
1
sinusoid
2.5
2
240
11
4.032702
Solve for x: 4.0327015646150715x + 5 = 41 FINAL:
8.927018
8.927018
linear_solve
1
sinusoid
2.5
2
240
12
4.12941
Solve for x: 4.12940952255126x + 5 = 41 FINAL:
8.717953
8.717953
linear_solve
1
sinusoid
2.5
2
240
13
4.221144
Solve for x: 4.221144345109501x + 5 = 41 FINAL:
8.528493
8.528493
linear_solve
1
sinusoid
2.5
2
240
14
4.304381
Solve for x: 4.304380714504361x + 5 = 41 FINAL:
8.363572
8.363572
linear_solve
1
sinusoid
2.5
2
240
15
4.37592
Solve for x: 4.375919903739488x + 5 = 41 FINAL:
8.226842
8.226842
linear_solve
1
sinusoid
2.5
2
240
16
4.433013
Solve for x: 4.433012701892219x + 5 = 41 FINAL:
8.120888
8.120888
linear_solve
1
sinusoid
2.5
2
240
17
4.473465
Solve for x: 4.473465064747553x + 5 = 41 FINAL:
8.047453
8.047453
linear_solve
1
sinusoid
2.5
2
240
18
4.495722
Solve for x: 4.4957224306869055x + 5 = 41 FINAL:
8.007612
8.007612
linear_solve
1
sinusoid
2.5
2
240
19
4.498929
Solve for x: 4.498929461619301x + 5 = 41 FINAL:
8.001904
8.001904
linear_solve
1
sinusoid
2.5
2
240
20
4.482963
Solve for x: 4.482962913144534x + 5 = 41 FINAL:
8.030403
8.030403
linear_solve
1
sinusoid
2.5
2
240
21
4.448436
Solve for x: 4.448436370766345x + 5 = 41 FINAL:
8.092731
8.092731
linear_solve
1
sinusoid
2.5
2
240
22
4.396677
Solve for x: 4.396676670145618x + 5 = 41 FINAL:
8.188003
8.188003
linear_solve
1
sinusoid
2.5
2
240
23
4.329673
Solve for x: 4.329672907550035x + 5 = 41 FINAL:
8.314716
8.314716
linear_solve
1
sinusoid
2.5
2
240
24
4.25
Solve for x: 4.25x + 5 = 41 FINAL:
8.470588
8.470588
linear_solve
1
sinusoid
2.5
2
240
25
4.16072
Solve for x: 4.160719732651581x + 5 = 41 FINAL:
8.652349
8.652349
linear_solve
1
sinusoid
2.5
2
240
26
4.065263
Solve for x: 4.0652630961100265x + 5 = 41 FINAL:
8.855515
8.855515
linear_solve
1
sinusoid
2.5
2
240
27
3.967298
Solve for x: 3.9672984353849294x + 5 = 41 FINAL:
9.074185
9.074185
linear_solve
1
sinusoid
2.5
2
240
28
3.87059
Solve for x: 3.87059047744874x + 5 = 41 FINAL:
9.300906
9.300906
linear_solve
1
sinusoid
2.5
2
240
29
3.778856
Solve for x: 3.7788556548904992x + 5 = 41 FINAL:
9.526694
9.526694
linear_solve
1
sinusoid
2.5
2
240
30
3.695619
Solve for x: 3.69561928549564x + 5 = 41 FINAL:
9.741263
9.741263
linear_solve
1
sinusoid
2.5
2
240
31
3.62408
Solve for x: 3.6240800962605118x + 5 = 41 FINAL:
9.933555
9.933555
linear_solve
1
sinusoid
2.5
2
240
32
3.566987
Solve for x: 3.5669872981077813x + 5 = 41 FINAL:
10.092551
10.092551
linear_solve
1
sinusoid
2.5
2
240
33
3.526535
Solve for x: 3.5265349352524473x + 5 = 41 FINAL:
10.208321
10.208321
linear_solve
1
sinusoid
2.5
2
240
34
3.504278
Solve for x: 3.5042775693130945x + 5 = 41 FINAL:
10.273159
10.273159
linear_solve
1
sinusoid
2.5
2
240
35
3.501071
Solve for x: 3.501070538380698x + 5 = 41 FINAL:
10.282569
10.282569
linear_solve
1
sinusoid
2.5
2
240
36
3.517037
Solve for x: 3.5170370868554657x + 5 = 41 FINAL:
10.235889
10.235889
linear_solve
1
sinusoid
2.5
2
240
37
3.551564
Solve for x: 3.5515636292336557x + 5 = 41 FINAL:
10.13638
10.13638
linear_solve
1
sinusoid
2.5
2
240
38
3.603323
Solve for x: 3.6033233298543816x + 5 = 41 FINAL:
9.990777
9.990777
linear_solve
1
sinusoid
2.5
2
240
39
3.670327
Solve for x: 3.6703270924499654x + 5 = 41 FINAL:
9.80839
9.80839
linear_solve
1
sinusoid
2.5
2
240
40
3.75
Solve for x: 3.75x + 5 = 41 FINAL:
9.6
9.6
linear_solve
1
sinusoid
2.5
2
240
41
3.83928
Solve for x: 3.839280267348419x + 5 = 41 FINAL:
9.376757
9.376757
linear_solve
1
sinusoid
2.5
2
240
42
3.934737
Solve for x: 3.9347369038899735x + 5 = 41 FINAL:
9.149278
9.149278
linear_solve
1
sinusoid
2.5
2
240
43
4.032702
Solve for x: 4.032701564615071x + 5 = 41 FINAL:
8.927018
8.927018
linear_solve
1
sinusoid
2.5
2
240
44
4.12941
Solve for x: 4.129409522551259x + 5 = 41 FINAL:
8.717953
8.717953
linear_solve
1
sinusoid
2.5
2
240
45
4.221144
Solve for x: 4.221144345109501x + 5 = 41 FINAL:
8.528493
8.528493
linear_solve
1
sinusoid
2.5
2
240
46
4.304381
Solve for x: 4.30438071450436x + 5 = 41 FINAL:
8.363572
8.363572
linear_solve
1
sinusoid
2.5
2
240
47
4.37592
Solve for x: 4.375919903739488x + 5 = 41 FINAL:
8.226842
8.226842
linear_solve
1
sinusoid
2.5
2
240
48
4.433013
Solve for x: 4.433012701892219x + 5 = 41 FINAL:
8.120888
8.120888
linear_solve
1
sinusoid
2.5
2
240
49
4.473465
Solve for x: 4.473465064747552x + 5 = 41 FINAL:
8.047453
8.047453
linear_solve
1
sinusoid
2.5
2
240
50
4.495722
Solve for x: 4.4957224306869055x + 5 = 41 FINAL:
8.007612
8.007612
linear_solve
1
sinusoid
2.5
2
240
51
4.498929
Solve for x: 4.498929461619301x + 5 = 41 FINAL:
8.001904
8.001904
linear_solve
1
sinusoid
2.5
2
240
52
4.482963
Solve for x: 4.482962913144534x + 5 = 41 FINAL:
8.030403
8.030403
linear_solve
1
sinusoid
2.5
2
240
53
4.448436
Solve for x: 4.448436370766345x + 5 = 41 FINAL:
8.092731
8.092731
linear_solve
1
sinusoid
2.5
2
240
54
4.396677
Solve for x: 4.396676670145618x + 5 = 41 FINAL:
8.188003
8.188003
linear_solve
1
sinusoid
2.5
2
240
55
4.329673
Solve for x: 4.329672907550034x + 5 = 41 FINAL:
8.314716
8.314716
linear_solve
1
sinusoid
2.5
2
240
56
4.25
Solve for x: 4.25x + 5 = 41 FINAL:
8.470588
8.470588
linear_solve
1
sinusoid
2.5
2
240
57
4.16072
Solve for x: 4.1607197326515815x + 5 = 41 FINAL:
8.652349
8.652349
linear_solve
1
sinusoid
2.5
2
240
58
4.065263
Solve for x: 4.0652630961100265x + 5 = 41 FINAL:
8.855515
8.855515
linear_solve
1
sinusoid
2.5
2
240
59
3.967298
Solve for x: 3.9672984353849294x + 5 = 41 FINAL:
9.074185
9.074185
linear_solve
1
sinusoid
2.5
2
240
60
3.87059
Solve for x: 3.870590477448741x + 5 = 41 FINAL:
9.300906
9.300906
linear_solve
1
sinusoid
2.5
2
240
61
3.778856
Solve for x: 3.7788556548904992x + 5 = 41 FINAL:
9.526694
9.526694
linear_solve
1
sinusoid
2.5
2
240
62
3.695619
Solve for x: 3.69561928549564x + 5 = 41 FINAL:
9.741263
9.741263
linear_solve
1
sinusoid
2.5
2
240
63
3.62408
Solve for x: 3.6240800962605118x + 5 = 41 FINAL:
9.933555
9.933555
linear_solve
1
sinusoid
2.5
4
240
0
3.566987
Solve for x: 3.566987298107781x + 5 = 41 FINAL:
10.092551
10.092551
linear_solve
1
sinusoid
2.5
4
240
1
3.504278
Solve for x: 3.504277569313095x + 5 = 41 FINAL:
10.273159
10.273159
linear_solve
1
sinusoid
2.5
4
240
2
3.517037
Solve for x: 3.5170370868554657x + 5 = 41 FINAL:
10.235889
10.235889
linear_solve
1
sinusoid
2.5
4
240
3
3.603323
Solve for x: 3.6033233298543825x + 5 = 41 FINAL:
9.990777
9.990777
linear_solve
1
sinusoid
2.5
4
240
4
3.75
Solve for x: 3.75x + 5 = 41 FINAL:
9.6
9.6
linear_solve
1
sinusoid
2.5
4
240
5
3.934737
Solve for x: 3.9347369038899735x + 5 = 41 FINAL:
9.149278
9.149278
linear_solve
1
sinusoid
2.5
4
240
6
4.12941
Solve for x: 4.12940952255126x + 5 = 41 FINAL:
8.717953
8.717953
linear_solve
1
sinusoid
2.5
4
240
7
4.304381
Solve for x: 4.304380714504361x + 5 = 41 FINAL:
8.363572
8.363572
linear_solve
1
sinusoid
2.5
4
240
8
4.433013
Solve for x: 4.433012701892219x + 5 = 41 FINAL:
8.120888
8.120888
linear_solve
1
sinusoid
2.5
4
240
9
4.495722
Solve for x: 4.4957224306869055x + 5 = 41 FINAL:
8.007612
8.007612
linear_solve
1
sinusoid
2.5
4
240
10
4.482963
Solve for x: 4.482962913144534x + 5 = 41 FINAL:
8.030403
8.030403
linear_solve
1
sinusoid
2.5
4
240
11
4.396677
Solve for x: 4.396676670145618x + 5 = 41 FINAL:
8.188003
8.188003