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
2
240
16
4.433013
Solve for x: 4.433012701892219x + 2 = 18 FINAL:
3.609284
3.609284
linear_solve
2
sinusoid
2.5
2
240
17
4.473465
Solve for x: 4.473465064747553x + 2 = 18 FINAL:
3.576646
3.576646
linear_solve
2
sinusoid
2.5
2
240
18
4.495722
Solve for x: 4.4957224306869055x + 2 = 18 FINAL:
3.558939
3.558939
linear_solve
2
sinusoid
2.5
2
240
19
4.498929
Solve for x: 4.498929461619301x + 2 = 18 FINAL:
3.556402
3.556402
linear_solve
2
sinusoid
2.5
2
240
20
4.482963
Solve for x: 4.482962913144534x + 2 = 18 FINAL:
3.569068
3.569068
linear_solve
2
sinusoid
2.5
2
240
21
4.448436
Solve for x: 4.448436370766345x + 2 = 18 FINAL:
3.596769
3.596769
linear_solve
2
sinusoid
2.5
2
240
22
4.396677
Solve for x: 4.396676670145618x + 2 = 18 FINAL:
3.639112
3.639112
linear_solve
2
sinusoid
2.5
2
240
23
4.329673
Solve for x: 4.329672907550035x + 2 = 18 FINAL:
3.695429
3.695429
linear_solve
2
sinusoid
2.5
2
240
24
4.25
Solve for x: 4.25x + 2 = 18 FINAL:
3.764706
3.764706
linear_solve
2
sinusoid
2.5
2
240
25
4.16072
Solve for x: 4.160719732651581x + 2 = 18 FINAL:
3.845489
3.845489
linear_solve
2
sinusoid
2.5
2
240
26
4.065263
Solve for x: 4.0652630961100265x + 2 = 18 FINAL:
3.935785
3.935785
linear_solve
2
sinusoid
2.5
2
240
27
3.967298
Solve for x: 3.9672984353849294x + 2 = 18 FINAL:
4.032971
4.032971
linear_solve
2
sinusoid
2.5
2
240
28
3.87059
Solve for x: 3.87059047744874x + 2 = 18 FINAL:
4.133736
4.133736
linear_solve
2
sinusoid
2.5
2
240
29
3.778856
Solve for x: 3.7788556548904992x + 2 = 18 FINAL:
4.234086
4.234086
linear_solve
2
sinusoid
2.5
2
240
30
3.695619
Solve for x: 3.69561928549564x + 2 = 18 FINAL:
4.32945
4.32945
linear_solve
2
sinusoid
2.5
2
240
31
3.62408
Solve for x: 3.6240800962605118x + 2 = 18 FINAL:
4.414913
4.414913
linear_solve
2
sinusoid
2.5
2
240
32
3.566987
Solve for x: 3.5669872981077813x + 2 = 18 FINAL:
4.485578
4.485578
linear_solve
2
sinusoid
2.5
2
240
33
3.526535
Solve for x: 3.5265349352524473x + 2 = 18 FINAL:
4.537031
4.537031
linear_solve
2
sinusoid
2.5
2
240
34
3.504278
Solve for x: 3.5042775693130945x + 2 = 18 FINAL:
4.565848
4.565848
linear_solve
2
sinusoid
2.5
2
240
35
3.501071
Solve for x: 3.501070538380698x + 2 = 18 FINAL:
4.570031
4.570031
linear_solve
2
sinusoid
2.5
2
240
36
3.517037
Solve for x: 3.5170370868554657x + 2 = 18 FINAL:
4.549284
4.549284
linear_solve
2
sinusoid
2.5
2
240
37
3.551564
Solve for x: 3.5515636292336557x + 2 = 18 FINAL:
4.505058
4.505058
linear_solve
2
sinusoid
2.5
2
240
38
3.603323
Solve for x: 3.6033233298543816x + 2 = 18 FINAL:
4.440345
4.440345
linear_solve
2
sinusoid
2.5
2
240
39
3.670327
Solve for x: 3.6703270924499654x + 2 = 18 FINAL:
4.359284
4.359284
linear_solve
2
sinusoid
2.5
2
240
40
3.75
Solve for x: 3.75x + 2 = 18 FINAL:
4.266667
4.266667
linear_solve
2
sinusoid
2.5
2
240
41
3.83928
Solve for x: 3.839280267348419x + 2 = 18 FINAL:
4.167448
4.167448
linear_solve
2
sinusoid
2.5
2
240
42
3.934737
Solve for x: 3.9347369038899735x + 2 = 18 FINAL:
4.066346
4.066346
linear_solve
2
sinusoid
2.5
2
240
43
4.032702
Solve for x: 4.032701564615071x + 2 = 18 FINAL:
3.967564
3.967564
linear_solve
2
sinusoid
2.5
2
240
44
4.12941
Solve for x: 4.129409522551259x + 2 = 18 FINAL:
3.874646
3.874646
linear_solve
2
sinusoid
2.5
2
240
45
4.221144
Solve for x: 4.221144345109501x + 2 = 18 FINAL:
3.790441
3.790441
linear_solve
2
sinusoid
2.5
2
240
46
4.304381
Solve for x: 4.30438071450436x + 2 = 18 FINAL:
3.717143
3.717143
linear_solve
2
sinusoid
2.5
2
240
47
4.37592
Solve for x: 4.375919903739488x + 2 = 18 FINAL:
3.656374
3.656374
linear_solve
2
sinusoid
2.5
2
240
48
4.433013
Solve for x: 4.433012701892219x + 2 = 18 FINAL:
3.609284
3.609284
linear_solve
2
sinusoid
2.5
2
240
49
4.473465
Solve for x: 4.473465064747552x + 2 = 18 FINAL:
3.576646
3.576646
linear_solve
2
sinusoid
2.5
2
240
50
4.495722
Solve for x: 4.4957224306869055x + 2 = 18 FINAL:
3.558939
3.558939
linear_solve
2
sinusoid
2.5
2
240
51
4.498929
Solve for x: 4.498929461619301x + 2 = 18 FINAL:
3.556402
3.556402
linear_solve
2
sinusoid
2.5
2
240
52
4.482963
Solve for x: 4.482962913144534x + 2 = 18 FINAL:
3.569068
3.569068
linear_solve
2
sinusoid
2.5
2
240
53
4.448436
Solve for x: 4.448436370766345x + 2 = 18 FINAL:
3.596769
3.596769
linear_solve
2
sinusoid
2.5
2
240
54
4.396677
Solve for x: 4.396676670145618x + 2 = 18 FINAL:
3.639112
3.639112
linear_solve
2
sinusoid
2.5
2
240
55
4.329673
Solve for x: 4.329672907550034x + 2 = 18 FINAL:
3.695429
3.695429
linear_solve
2
sinusoid
2.5
2
240
56
4.25
Solve for x: 4.25x + 2 = 18 FINAL:
3.764706
3.764706
linear_solve
2
sinusoid
2.5
2
240
57
4.16072
Solve for x: 4.1607197326515815x + 2 = 18 FINAL:
3.845489
3.845489
linear_solve
2
sinusoid
2.5
2
240
58
4.065263
Solve for x: 4.0652630961100265x + 2 = 18 FINAL:
3.935785
3.935785
linear_solve
2
sinusoid
2.5
2
240
59
3.967298
Solve for x: 3.9672984353849294x + 2 = 18 FINAL:
4.032971
4.032971
linear_solve
2
sinusoid
2.5
2
240
60
3.87059
Solve for x: 3.870590477448741x + 2 = 18 FINAL:
4.133736
4.133736
linear_solve
2
sinusoid
2.5
2
240
61
3.778856
Solve for x: 3.7788556548904992x + 2 = 18 FINAL:
4.234086
4.234086
linear_solve
2
sinusoid
2.5
2
240
62
3.695619
Solve for x: 3.69561928549564x + 2 = 18 FINAL:
4.32945
4.32945
linear_solve
2
sinusoid
2.5
2
240
63
3.62408
Solve for x: 3.6240800962605118x + 2 = 18 FINAL:
4.414913
4.414913
linear_solve
2
sinusoid
2.5
4
240
0
3.566987
Solve for x: 3.566987298107781x + 2 = 18 FINAL:
4.485578
4.485578
linear_solve
2
sinusoid
2.5
4
240
1
3.504278
Solve for x: 3.504277569313095x + 2 = 18 FINAL:
4.565848
4.565848
linear_solve
2
sinusoid
2.5
4
240
2
3.517037
Solve for x: 3.5170370868554657x + 2 = 18 FINAL:
4.549284
4.549284
linear_solve
2
sinusoid
2.5
4
240
3
3.603323
Solve for x: 3.6033233298543825x + 2 = 18 FINAL:
4.440345
4.440345
linear_solve
2
sinusoid
2.5
4
240
4
3.75
Solve for x: 3.75x + 2 = 18 FINAL:
4.266667
4.266667
linear_solve
2
sinusoid
2.5
4
240
5
3.934737
Solve for x: 3.9347369038899735x + 2 = 18 FINAL:
4.066346
4.066346
linear_solve
2
sinusoid
2.5
4
240
6
4.12941
Solve for x: 4.12940952255126x + 2 = 18 FINAL:
3.874646
3.874646
linear_solve
2
sinusoid
2.5
4
240
7
4.304381
Solve for x: 4.304380714504361x + 2 = 18 FINAL:
3.717143
3.717143
linear_solve
2
sinusoid
2.5
4
240
8
4.433013
Solve for x: 4.433012701892219x + 2 = 18 FINAL:
3.609284
3.609284
linear_solve
2
sinusoid
2.5
4
240
9
4.495722
Solve for x: 4.4957224306869055x + 2 = 18 FINAL:
3.558939
3.558939
linear_solve
2
sinusoid
2.5
4
240
10
4.482963
Solve for x: 4.482962913144534x + 2 = 18 FINAL:
3.569068
3.569068
linear_solve
2
sinusoid
2.5
4
240
11
4.396677
Solve for x: 4.396676670145618x + 2 = 18 FINAL:
3.639112
3.639112
linear_solve
2
sinusoid
2.5
4
240
12
4.25
Solve for x: 4.25x + 2 = 18 FINAL:
3.764706
3.764706
linear_solve
2
sinusoid
2.5
4
240
13
4.065263
Solve for x: 4.0652630961100265x + 2 = 18 FINAL:
3.935785
3.935785
linear_solve
2
sinusoid
2.5
4
240
14
3.87059
Solve for x: 3.87059047744874x + 2 = 18 FINAL:
4.133736
4.133736
linear_solve
2
sinusoid
2.5
4
240
15
3.695619
Solve for x: 3.69561928549564x + 2 = 18 FINAL:
4.32945
4.32945
linear_solve
2
sinusoid
2.5
4
240
16
3.566987
Solve for x: 3.5669872981077813x + 2 = 18 FINAL:
4.485578
4.485578
linear_solve
2
sinusoid
2.5
4
240
17
3.504278
Solve for x: 3.5042775693130945x + 2 = 18 FINAL:
4.565848
4.565848
linear_solve
2
sinusoid
2.5
4
240
18
3.517037
Solve for x: 3.5170370868554657x + 2 = 18 FINAL:
4.549284
4.549284
linear_solve
2
sinusoid
2.5
4
240
19
3.603323
Solve for x: 3.6033233298543816x + 2 = 18 FINAL:
4.440345
4.440345
linear_solve
2
sinusoid
2.5
4
240
20
3.75
Solve for x: 3.75x + 2 = 18 FINAL:
4.266667
4.266667
linear_solve
2
sinusoid
2.5
4
240
21
3.934737
Solve for x: 3.9347369038899735x + 2 = 18 FINAL:
4.066346
4.066346
linear_solve
2
sinusoid
2.5
4
240
22
4.12941
Solve for x: 4.129409522551259x + 2 = 18 FINAL:
3.874646
3.874646
linear_solve
2
sinusoid
2.5
4
240
23
4.304381
Solve for x: 4.30438071450436x + 2 = 18 FINAL:
3.717143
3.717143
linear_solve
2
sinusoid
2.5
4
240
24
4.433013
Solve for x: 4.433012701892219x + 2 = 18 FINAL:
3.609284
3.609284
linear_solve
2
sinusoid
2.5
4
240
25
4.495722
Solve for x: 4.4957224306869055x + 2 = 18 FINAL:
3.558939
3.558939
linear_solve
2
sinusoid
2.5
4
240
26
4.482963
Solve for x: 4.482962913144534x + 2 = 18 FINAL:
3.569068
3.569068
linear_solve
2
sinusoid
2.5
4
240
27
4.396677
Solve for x: 4.396676670145618x + 2 = 18 FINAL:
3.639112
3.639112
linear_solve
2
sinusoid
2.5
4
240
28
4.25
Solve for x: 4.25x + 2 = 18 FINAL:
3.764706
3.764706
linear_solve
2
sinusoid
2.5
4
240
29
4.065263
Solve for x: 4.0652630961100265x + 2 = 18 FINAL:
3.935785
3.935785
linear_solve
2
sinusoid
2.5
4
240
30
3.87059
Solve for x: 3.870590477448741x + 2 = 18 FINAL:
4.133736
4.133736
linear_solve
2
sinusoid
2.5
4
240
31
3.695619
Solve for x: 3.69561928549564x + 2 = 18 FINAL:
4.32945
4.32945
linear_solve
2
sinusoid
2.5
4
240
32
3.566987
Solve for x: 3.5669872981077813x + 2 = 18 FINAL:
4.485578
4.485578
linear_solve
2
sinusoid
2.5
4
240
33
3.504278
Solve for x: 3.5042775693130945x + 2 = 18 FINAL:
4.565848
4.565848
linear_solve
2
sinusoid
2.5
4
240
34
3.517037
Solve for x: 3.5170370868554657x + 2 = 18 FINAL:
4.549284
4.549284
linear_solve
2
sinusoid
2.5
4
240
35
3.603323
Solve for x: 3.6033233298543816x + 2 = 18 FINAL:
4.440345
4.440345
linear_solve
2
sinusoid
2.5
4
240
36
3.75
Solve for x: 3.75x + 2 = 18 FINAL:
4.266667
4.266667
linear_solve
2
sinusoid
2.5
4
240
37
3.934737
Solve for x: 3.9347369038899735x + 2 = 18 FINAL:
4.066346
4.066346
linear_solve
2
sinusoid
2.5
4
240
38
4.12941
Solve for x: 4.129409522551259x + 2 = 18 FINAL:
3.874646
3.874646
linear_solve
2
sinusoid
2.5
4
240
39
4.304381
Solve for x: 4.30438071450436x + 2 = 18 FINAL:
3.717143
3.717143
linear_solve
2
sinusoid
2.5
4
240
40
4.433013
Solve for x: 4.433012701892219x + 2 = 18 FINAL:
3.609284
3.609284
linear_solve
2
sinusoid
2.5
4
240
41
4.495722
Solve for x: 4.495722430686905x + 2 = 18 FINAL:
3.558939
3.558939
linear_solve
2
sinusoid
2.5
4
240
42
4.482963
Solve for x: 4.482962913144534x + 2 = 18 FINAL:
3.569068
3.569068
linear_solve
2
sinusoid
2.5
4
240
43
4.396677
Solve for x: 4.396676670145618x + 2 = 18 FINAL:
3.639112
3.639112
linear_solve
2
sinusoid
2.5
4
240
44
4.25
Solve for x: 4.250000000000002x + 2 = 18 FINAL:
3.764706
3.764706
linear_solve
2
sinusoid
2.5
4
240
45
4.065263
Solve for x: 4.0652630961100265x + 2 = 18 FINAL:
3.935785
3.935785
linear_solve
2
sinusoid
2.5
4
240
46
3.87059
Solve for x: 3.870590477448741x + 2 = 18 FINAL:
4.133736
4.133736
linear_solve
2
sinusoid
2.5
4
240
47
3.695619
Solve for x: 3.69561928549564x + 2 = 18 FINAL:
4.32945
4.32945
linear_solve
2
sinusoid
2.5
4
240
48
3.566987
Solve for x: 3.5669872981077813x + 2 = 18 FINAL:
4.485578
4.485578
linear_solve
2
sinusoid
2.5
4
240
49
3.504278
Solve for x: 3.504277569313095x + 2 = 18 FINAL:
4.565848
4.565848
linear_solve
2
sinusoid
2.5
4
240
50
3.517037
Solve for x: 3.5170370868554657x + 2 = 18 FINAL:
4.549284
4.549284
linear_solve
2
sinusoid
2.5
4
240
51
3.603323
Solve for x: 3.6033233298543816x + 2 = 18 FINAL:
4.440345
4.440345