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
1
sinusoid
2.5
1
120
60
4.495722
Solve this system for x: 4.4957224306869055x + 2y = 8 1x + 3y = 9 FINAL:
0.522322
0.522322
linear_system
1
sinusoid
2.5
1
120
61
4.486938
Solve this system for x: 4.486938489638667x + 2y = 8 1x + 3y = 9 FINAL:
0.523523
0.523523
linear_system
1
sinusoid
2.5
1
120
62
4.473465
Solve this system for x: 4.473465064747553x + 2y = 8 1x + 3y = 9 FINAL:
0.525376
0.525376
linear_system
1
sinusoid
2.5
1
120
63
4.455432
Solve this system for x: 4.455431912460588x + 2y = 8 1x + 3y = 9 FINAL:
0.527876
0.527876
linear_system
1
sinusoid
2.5
2
120
0
4.433013
Solve this system for x: 4.43301270189222x + 2y = 8 1x + 3y = 9 FINAL:
0.531019
0.531019
linear_system
1
sinusoid
2.5
2
120
1
4.37592
Solve this system for x: 4.375919903739489x + 2y = 8 1x + 3y = 9 FINAL:
0.539192
0.539192
linear_system
1
sinusoid
2.5
2
120
2
4.304381
Solve this system for x: 4.304380714504361x + 2y = 8 1x + 3y = 9 FINAL:
0.549796
0.549796
linear_system
1
sinusoid
2.5
2
120
3
4.221144
Solve this system for x: 4.221144345109501x + 2y = 8 1x + 3y = 9 FINAL:
0.562671
0.562671
linear_system
1
sinusoid
2.5
2
120
4
4.12941
Solve this system for x: 4.129409522551261x + 2y = 8 1x + 3y = 9 FINAL:
0.577577
0.577577
linear_system
1
sinusoid
2.5
2
120
5
4.032702
Solve this system for x: 4.0327015646150715x + 2y = 8 1x + 3y = 9 FINAL:
0.594171
0.594171
linear_system
1
sinusoid
2.5
2
120
6
3.934737
Solve this system for x: 3.9347369038899744x + 2y = 8 1x + 3y = 9 FINAL:
0.611982
0.611982
linear_system
1
sinusoid
2.5
2
120
7
3.83928
Solve this system for x: 3.8392802673484194x + 2y = 8 1x + 3y = 9 FINAL:
0.630395
0.630395
linear_system
1
sinusoid
2.5
2
120
8
3.75
Solve this system for x: 3.75x + 2y = 8 1x + 3y = 9 FINAL:
0.648649
0.648649
linear_system
1
sinusoid
2.5
2
120
9
3.670327
Solve this system for x: 3.670327092449966x + 2y = 8 1x + 3y = 9 FINAL:
0.665854
0.665854
linear_system
1
sinusoid
2.5
2
120
10
3.603323
Solve this system for x: 3.6033233298543825x + 2y = 8 1x + 3y = 9 FINAL:
0.681047
0.681047
linear_system
1
sinusoid
2.5
2
120
11
3.551564
Solve this system for x: 3.551563629233656x + 2y = 8 1x + 3y = 9 FINAL:
0.693266
0.693266
linear_system
1
sinusoid
2.5
2
120
12
3.517037
Solve this system for x: 3.5170370868554657x + 2y = 8 1x + 3y = 9 FINAL:
0.701663
0.701663
linear_system
1
sinusoid
2.5
2
120
13
3.501071
Solve this system for x: 3.501070538380698x + 2y = 8 1x + 3y = 9 FINAL:
0.705616
0.705616
linear_system
1
sinusoid
2.5
2
120
14
3.504278
Solve this system for x: 3.5042775693130945x + 2y = 8 1x + 3y = 9 FINAL:
0.704818
0.704818
linear_system
1
sinusoid
2.5
2
120
15
3.526535
Solve this system for x: 3.5265349352524473x + 2y = 8 1x + 3y = 9 FINAL:
0.699333
0.699333
linear_system
1
sinusoid
2.5
2
120
16
3.566987
Solve this system for x: 3.5669872981077804x + 2y = 8 1x + 3y = 9 FINAL:
0.689579
0.689579
linear_system
1
sinusoid
2.5
2
120
17
3.62408
Solve this system for x: 3.6240800962605113x + 2y = 8 1x + 3y = 9 FINAL:
0.676267
0.676267
linear_system
1
sinusoid
2.5
2
120
18
3.695619
Solve this system for x: 3.6956192854956393x + 2y = 8 1x + 3y = 9 FINAL:
0.660294
0.660294
linear_system
1
sinusoid
2.5
2
120
19
3.778856
Solve this system for x: 3.778855654890499x + 2y = 8 1x + 3y = 9 FINAL:
0.642634
0.642634
linear_system
1
sinusoid
2.5
2
120
20
3.87059
Solve this system for x: 3.8705904774487396x + 2y = 8 1x + 3y = 9 FINAL:
0.624235
0.624235
linear_system
1
sinusoid
2.5
2
120
21
3.967298
Solve this system for x: 3.967298435384928x + 2y = 8 1x + 3y = 9 FINAL:
0.605945
0.605945
linear_system
1
sinusoid
2.5
2
120
22
4.065263
Solve this system for x: 4.065263096110026x + 2y = 8 1x + 3y = 9 FINAL:
0.588478
0.588478
linear_system
1
sinusoid
2.5
2
120
23
4.16072
Solve this system for x: 4.160719732651581x + 2y = 8 1x + 3y = 9 FINAL:
0.572401
0.572401
linear_system
1
sinusoid
2.5
2
120
24
4.25
Solve this system for x: 4.25x + 2y = 8 1x + 3y = 9 FINAL:
0.55814
0.55814
linear_system
1
sinusoid
2.5
2
120
25
4.329673
Solve this system for x: 4.329672907550035x + 2y = 8 1x + 3y = 9 FINAL:
0.546
0.546
linear_system
1
sinusoid
2.5
2
120
26
4.396677
Solve this system for x: 4.3966766701456175x + 2y = 8 1x + 3y = 9 FINAL:
0.536192
0.536192
linear_system
1
sinusoid
2.5
2
120
27
4.448436
Solve this system for x: 4.448436370766344x + 2y = 8 1x + 3y = 9 FINAL:
0.528853
0.528853
linear_system
1
sinusoid
2.5
2
120
28
4.482963
Solve this system for x: 4.482962913144534x + 2y = 8 1x + 3y = 9 FINAL:
0.524068
0.524068
linear_system
1
sinusoid
2.5
2
120
29
4.498929
Solve this system for x: 4.498929461619301x + 2y = 8 1x + 3y = 9 FINAL:
0.521885
0.521885
linear_system
1
sinusoid
2.5
2
120
30
4.495722
Solve this system for x: 4.4957224306869055x + 2y = 8 1x + 3y = 9 FINAL:
0.522322
0.522322
linear_system
1
sinusoid
2.5
2
120
31
4.473465
Solve this system for x: 4.473465064747553x + 2y = 8 1x + 3y = 9 FINAL:
0.525376
0.525376
linear_system
1
sinusoid
2.5
2
120
32
4.433013
Solve this system for x: 4.43301270189222x + 2y = 8 1x + 3y = 9 FINAL:
0.531019
0.531019
linear_system
1
sinusoid
2.5
2
120
33
4.37592
Solve this system for x: 4.375919903739488x + 2y = 8 1x + 3y = 9 FINAL:
0.539192
0.539192
linear_system
1
sinusoid
2.5
2
120
34
4.304381
Solve this system for x: 4.304380714504361x + 2y = 8 1x + 3y = 9 FINAL:
0.549796
0.549796
linear_system
1
sinusoid
2.5
2
120
35
4.221144
Solve this system for x: 4.221144345109501x + 2y = 8 1x + 3y = 9 FINAL:
0.562671
0.562671
linear_system
1
sinusoid
2.5
2
120
36
4.12941
Solve this system for x: 4.129409522551261x + 2y = 8 1x + 3y = 9 FINAL:
0.577577
0.577577
linear_system
1
sinusoid
2.5
2
120
37
4.032702
Solve this system for x: 4.032701564615072x + 2y = 8 1x + 3y = 9 FINAL:
0.594171
0.594171
linear_system
1
sinusoid
2.5
2
120
38
3.934737
Solve this system for x: 3.934736903889975x + 2y = 8 1x + 3y = 9 FINAL:
0.611982
0.611982
linear_system
1
sinusoid
2.5
2
120
39
3.83928
Solve this system for x: 3.8392802673484194x + 2y = 8 1x + 3y = 9 FINAL:
0.630395
0.630395
linear_system
1
sinusoid
2.5
2
120
40
3.75
Solve this system for x: 3.7500000000000004x + 2y = 8 1x + 3y = 9 FINAL:
0.648649
0.648649
linear_system
1
sinusoid
2.5
2
120
41
3.670327
Solve this system for x: 3.6703270924499662x + 2y = 8 1x + 3y = 9 FINAL:
0.665854
0.665854
linear_system
1
sinusoid
2.5
2
120
42
3.603323
Solve this system for x: 3.6033233298543825x + 2y = 8 1x + 3y = 9 FINAL:
0.681047
0.681047
linear_system
1
sinusoid
2.5
2
120
43
3.551564
Solve this system for x: 3.551563629233656x + 2y = 8 1x + 3y = 9 FINAL:
0.693266
0.693266
linear_system
1
sinusoid
2.5
2
120
44
3.517037
Solve this system for x: 3.517037086855466x + 2y = 8 1x + 3y = 9 FINAL:
0.701663
0.701663
linear_system
1
sinusoid
2.5
2
120
45
3.501071
Solve this system for x: 3.501070538380698x + 2y = 8 1x + 3y = 9 FINAL:
0.705616
0.705616
linear_system
1
sinusoid
2.5
2
120
46
3.504278
Solve this system for x: 3.5042775693130945x + 2y = 8 1x + 3y = 9 FINAL:
0.704818
0.704818
linear_system
1
sinusoid
2.5
2
120
47
3.526535
Solve this system for x: 3.526534935252447x + 2y = 8 1x + 3y = 9 FINAL:
0.699333
0.699333
linear_system
1
sinusoid
2.5
2
120
48
3.566987
Solve this system for x: 3.5669872981077804x + 2y = 8 1x + 3y = 9 FINAL:
0.689579
0.689579
linear_system
1
sinusoid
2.5
2
120
49
3.62408
Solve this system for x: 3.624080096260511x + 2y = 8 1x + 3y = 9 FINAL:
0.676267
0.676267
linear_system
1
sinusoid
2.5
2
120
50
3.695619
Solve this system for x: 3.6956192854956393x + 2y = 8 1x + 3y = 9 FINAL:
0.660294
0.660294
linear_system
1
sinusoid
2.5
2
120
51
3.778856
Solve this system for x: 3.778855654890499x + 2y = 8 1x + 3y = 9 FINAL:
0.642634
0.642634
linear_system
1
sinusoid
2.5
2
120
52
3.87059
Solve this system for x: 3.8705904774487396x + 2y = 8 1x + 3y = 9 FINAL:
0.624235
0.624235
linear_system
1
sinusoid
2.5
2
120
53
3.967298
Solve this system for x: 3.967298435384928x + 2y = 8 1x + 3y = 9 FINAL:
0.605945
0.605945
linear_system
1
sinusoid
2.5
2
120
54
4.065263
Solve this system for x: 4.065263096110025x + 2y = 8 1x + 3y = 9 FINAL:
0.588478
0.588478
linear_system
1
sinusoid
2.5
2
120
55
4.16072
Solve this system for x: 4.160719732651581x + 2y = 8 1x + 3y = 9 FINAL:
0.572401
0.572401
linear_system
1
sinusoid
2.5
2
120
56
4.25
Solve this system for x: 4.249999999999999x + 2y = 8 1x + 3y = 9 FINAL:
0.55814
0.55814
linear_system
1
sinusoid
2.5
2
120
57
4.329673
Solve this system for x: 4.329672907550034x + 2y = 8 1x + 3y = 9 FINAL:
0.546
0.546
linear_system
1
sinusoid
2.5
2
120
58
4.396677
Solve this system for x: 4.3966766701456175x + 2y = 8 1x + 3y = 9 FINAL:
0.536192
0.536192
linear_system
1
sinusoid
2.5
2
120
59
4.448436
Solve this system for x: 4.448436370766344x + 2y = 8 1x + 3y = 9 FINAL:
0.528853
0.528853
linear_system
1
sinusoid
2.5
2
120
60
4.482963
Solve this system for x: 4.482962913144534x + 2y = 8 1x + 3y = 9 FINAL:
0.524068
0.524068
linear_system
1
sinusoid
2.5
2
120
61
4.498929
Solve this system for x: 4.498929461619301x + 2y = 8 1x + 3y = 9 FINAL:
0.521885
0.521885
linear_system
1
sinusoid
2.5
2
120
62
4.495722
Solve this system for x: 4.4957224306869055x + 2y = 8 1x + 3y = 9 FINAL:
0.522322
0.522322
linear_system
1
sinusoid
2.5
2
120
63
4.473465
Solve this system for x: 4.473465064747553x + 2y = 8 1x + 3y = 9 FINAL:
0.525376
0.525376
linear_system
1
sinusoid
2.5
4
120
0
4.433013
Solve this system for x: 4.43301270189222x + 2y = 8 1x + 3y = 9 FINAL:
0.531019
0.531019
linear_system
1
sinusoid
2.5
4
120
1
4.304381
Solve this system for x: 4.304380714504361x + 2y = 8 1x + 3y = 9 FINAL:
0.549796
0.549796
linear_system
1
sinusoid
2.5
4
120
2
4.12941
Solve this system for x: 4.129409522551261x + 2y = 8 1x + 3y = 9 FINAL:
0.577577
0.577577
linear_system
1
sinusoid
2.5
4
120
3
3.934737
Solve this system for x: 3.9347369038899744x + 2y = 8 1x + 3y = 9 FINAL:
0.611982
0.611982
linear_system
1
sinusoid
2.5
4
120
4
3.75
Solve this system for x: 3.75x + 2y = 8 1x + 3y = 9 FINAL:
0.648649
0.648649
linear_system
1
sinusoid
2.5
4
120
5
3.603323
Solve this system for x: 3.6033233298543825x + 2y = 8 1x + 3y = 9 FINAL:
0.681047
0.681047
linear_system
1
sinusoid
2.5
4
120
6
3.517037
Solve this system for x: 3.5170370868554657x + 2y = 8 1x + 3y = 9 FINAL:
0.701663
0.701663
linear_system
1
sinusoid
2.5
4
120
7
3.504278
Solve this system for x: 3.5042775693130945x + 2y = 8 1x + 3y = 9 FINAL:
0.704818
0.704818
linear_system
1
sinusoid
2.5
4
120
8
3.566987
Solve this system for x: 3.5669872981077804x + 2y = 8 1x + 3y = 9 FINAL:
0.689579
0.689579
linear_system
1
sinusoid
2.5
4
120
9
3.695619
Solve this system for x: 3.6956192854956393x + 2y = 8 1x + 3y = 9 FINAL:
0.660294
0.660294
linear_system
1
sinusoid
2.5
4
120
10
3.87059
Solve this system for x: 3.8705904774487396x + 2y = 8 1x + 3y = 9 FINAL:
0.624235
0.624235
linear_system
1
sinusoid
2.5
4
120
11
4.065263
Solve this system for x: 4.065263096110026x + 2y = 8 1x + 3y = 9 FINAL:
0.588478
0.588478
linear_system
1
sinusoid
2.5
4
120
12
4.25
Solve this system for x: 4.25x + 2y = 8 1x + 3y = 9 FINAL:
0.55814
0.55814
linear_system
1
sinusoid
2.5
4
120
13
4.396677
Solve this system for x: 4.3966766701456175x + 2y = 8 1x + 3y = 9 FINAL:
0.536192
0.536192
linear_system
1
sinusoid
2.5
4
120
14
4.482963
Solve this system for x: 4.482962913144534x + 2y = 8 1x + 3y = 9 FINAL:
0.524068
0.524068
linear_system
1
sinusoid
2.5
4
120
15
4.495722
Solve this system for x: 4.4957224306869055x + 2y = 8 1x + 3y = 9 FINAL:
0.522322
0.522322
linear_system
1
sinusoid
2.5
4
120
16
4.433013
Solve this system for x: 4.43301270189222x + 2y = 8 1x + 3y = 9 FINAL:
0.531019
0.531019
linear_system
1
sinusoid
2.5
4
120
17
4.304381
Solve this system for x: 4.304380714504361x + 2y = 8 1x + 3y = 9 FINAL:
0.549796
0.549796
linear_system
1
sinusoid
2.5
4
120
18
4.12941
Solve this system for x: 4.129409522551261x + 2y = 8 1x + 3y = 9 FINAL:
0.577577
0.577577
linear_system
1
sinusoid
2.5
4
120
19
3.934737
Solve this system for x: 3.934736903889975x + 2y = 8 1x + 3y = 9 FINAL:
0.611982
0.611982
linear_system
1
sinusoid
2.5
4
120
20
3.75
Solve this system for x: 3.7500000000000004x + 2y = 8 1x + 3y = 9 FINAL:
0.648649
0.648649
linear_system
1
sinusoid
2.5
4
120
21
3.603323
Solve this system for x: 3.6033233298543825x + 2y = 8 1x + 3y = 9 FINAL:
0.681047
0.681047
linear_system
1
sinusoid
2.5
4
120
22
3.517037
Solve this system for x: 3.517037086855466x + 2y = 8 1x + 3y = 9 FINAL:
0.701663
0.701663
linear_system
1
sinusoid
2.5
4
120
23
3.504278
Solve this system for x: 3.5042775693130945x + 2y = 8 1x + 3y = 9 FINAL:
0.704818
0.704818
linear_system
1
sinusoid
2.5
4
120
24
3.566987
Solve this system for x: 3.5669872981077804x + 2y = 8 1x + 3y = 9 FINAL:
0.689579
0.689579
linear_system
1
sinusoid
2.5
4
120
25
3.695619
Solve this system for x: 3.6956192854956393x + 2y = 8 1x + 3y = 9 FINAL:
0.660294
0.660294
linear_system
1
sinusoid
2.5
4
120
26
3.87059
Solve this system for x: 3.8705904774487396x + 2y = 8 1x + 3y = 9 FINAL:
0.624235
0.624235
linear_system
1
sinusoid
2.5
4
120
27
4.065263
Solve this system for x: 4.065263096110025x + 2y = 8 1x + 3y = 9 FINAL:
0.588478
0.588478
linear_system
1
sinusoid
2.5
4
120
28
4.25
Solve this system for x: 4.249999999999999x + 2y = 8 1x + 3y = 9 FINAL:
0.55814
0.55814
linear_system
1
sinusoid
2.5
4
120
29
4.396677
Solve this system for x: 4.3966766701456175x + 2y = 8 1x + 3y = 9 FINAL:
0.536192
0.536192
linear_system
1
sinusoid
2.5
4
120
30
4.482963
Solve this system for x: 4.482962913144534x + 2y = 8 1x + 3y = 9 FINAL:
0.524068
0.524068
linear_system
1
sinusoid
2.5
4
120
31
4.495722
Solve this system for x: 4.4957224306869055x + 2y = 8 1x + 3y = 9 FINAL:
0.522322
0.522322