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
2
sinusoid
0.5
1
240
40
4.096593
Solve this system for x: 4.096592582628907x + 1y = 10 2x + 4y = 12 FINAL:
1.946287
1.946287
linear_system
2
sinusoid
0.5
1
240
41
4.093591
Solve this system for x: 4.093590592675732x + 1y = 10 2x + 4y = 12 FINAL:
1.947912
1.947912
linear_system
2
sinusoid
0.5
1
240
42
4.089687
Solve this system for x: 4.089687274153269x + 1y = 10 2x + 4y = 12 FINAL:
1.950031
1.950031
linear_system
2
sinusoid
0.5
1
240
43
4.08492
Solve this system for x: 4.084920218152658x + 1y = 10 2x + 4y = 12 FINAL:
1.952624
1.952624
linear_system
2
sinusoid
0.5
1
240
44
4.079335
Solve this system for x: 4.079335334029124x + 1y = 10 2x + 4y = 12 FINAL:
1.95567
1.95567
linear_system
2
sinusoid
0.5
1
240
45
4.072986
Solve this system for x: 4.0729864072697834x + 1y = 10 2x + 4y = 12 FINAL:
1.959145
1.959145
linear_system
2
sinusoid
0.5
1
240
46
4.065935
Solve this system for x: 4.065934581510007x + 1y = 10 2x + 4y = 12 FINAL:
1.96302
1.96302
linear_system
2
sinusoid
0.5
1
240
47
4.058248
Solve this system for x: 4.05824776968678x + 1y = 10 2x + 4y = 12 FINAL:
1.96726
1.96726
linear_system
2
sinusoid
0.5
1
240
48
4.05
Solve this system for x: 4.05x + 1y = 10 2x + 4y = 12 FINAL:
1.971831
1.971831
linear_system
2
sinusoid
0.5
1
240
49
4.041271
Solve this system for x: 4.041270702980439x + 1y = 10 2x + 4y = 12 FINAL:
1.976692
1.976692
linear_system
2
sinusoid
0.5
1
240
50
4.032144
Solve this system for x: 4.032143946530316x + 1y = 10 2x + 4y = 12 FINAL:
1.981799
1.981799
linear_system
2
sinusoid
0.5
1
240
51
4.022708
Solve this system for x: 4.022707626303437x + 1y = 10 2x + 4y = 12 FINAL:
1.987108
1.987108
linear_system
2
sinusoid
0.5
1
240
52
4.013053
Solve this system for x: 4.013052619222005x + 1y = 10 2x + 4y = 12 FINAL:
1.992569
1.992569
linear_system
2
sinusoid
0.5
1
240
53
4.003272
Solve this system for x: 4.003271908282178x + 1y = 10 2x + 4y = 12 FINAL:
1.998132
1.998132
linear_system
2
sinusoid
0.5
1
240
54
3.99346
Solve this system for x: 3.993459687076986x + 1y = 10 2x + 4y = 12 FINAL:
2.003744
2.003744
linear_system
2
sinusoid
0.5
1
240
55
3.98371
Solve this system for x: 3.9837104526605414x + 1y = 10 2x + 4y = 12 FINAL:
2.009352
2.009352
linear_system
2
sinusoid
0.5
1
240
56
3.974118
Solve this system for x: 3.974118095489748x + 1y = 10 2x + 4y = 12 FINAL:
2.0149
2.0149
linear_system
2
sinusoid
0.5
1
240
57
3.964775
Solve this system for x: 3.964774995207877x + 1y = 10 2x + 4y = 12 FINAL:
2.020333
2.020333
linear_system
2
sinusoid
0.5
1
240
58
3.955771
Solve this system for x: 3.9557711309781x + 1y = 10 2x + 4y = 12 FINAL:
2.025597
2.025597
linear_system
2
sinusoid
0.5
1
240
59
3.947193
Solve this system for x: 3.947193214934963x + 1y = 10 2x + 4y = 12 FINAL:
2.030638
2.030638
linear_system
2
sinusoid
0.5
1
240
60
3.939124
Solve this system for x: 3.939123857099128x + 1y = 10 2x + 4y = 12 FINAL:
2.035402
2.035402
linear_system
2
sinusoid
0.5
1
240
61
3.931641
Solve this system for x: 3.931640769797713x + 1y = 10 2x + 4y = 12 FINAL:
2.039841
2.039841
linear_system
2
sinusoid
0.5
1
240
62
3.924816
Solve this system for x: 3.9248160192521024x + 1y = 10 2x + 4y = 12 FINAL:
2.043905
2.043905
linear_system
2
sinusoid
0.5
1
240
63
3.918715
Solve this system for x: 3.9187153315408385x + 1y = 10 2x + 4y = 12 FINAL:
2.047553
2.047553
linear_system
2
sinusoid
0.5
2
240
0
3.913397
Solve this system for x: 3.913397459621556x + 1y = 10 2x + 4y = 12 FINAL:
2.050743
2.050743
linear_system
2
sinusoid
0.5
2
240
1
3.905307
Solve this system for x: 3.9053069870504893x + 1y = 10 2x + 4y = 12 FINAL:
2.055615
2.055615
linear_system
2
sinusoid
0.5
2
240
2
3.900856
Solve this system for x: 3.900855513862619x + 1y = 10 2x + 4y = 12 FINAL:
2.058306
2.058306
linear_system
2
sinusoid
0.5
2
240
3
3.900214
Solve this system for x: 3.9002141076761396x + 1y = 10 2x + 4y = 12 FINAL:
2.058694
2.058694
linear_system
2
sinusoid
0.5
2
240
4
3.903407
Solve this system for x: 3.9034074173710933x + 1y = 10 2x + 4y = 12 FINAL:
2.056762
2.056762
linear_system
2
sinusoid
0.5
2
240
5
3.910313
Solve this system for x: 3.910312725846731x + 1y = 10 2x + 4y = 12 FINAL:
2.052598
2.052598
linear_system
2
sinusoid
0.5
2
240
6
3.920665
Solve this system for x: 3.9206646659708766x + 1y = 10 2x + 4y = 12 FINAL:
2.046386
2.046386
linear_system
2
sinusoid
0.5
2
240
7
3.934065
Solve this system for x: 3.9340654184899932x + 1y = 10 2x + 4y = 12 FINAL:
2.0384
2.0384
linear_system
2
sinusoid
0.5
2
240
8
3.95
Solve this system for x: 3.95x + 1y = 10 2x + 4y = 12 FINAL:
2.028986
2.028986
linear_system
2
sinusoid
0.5
2
240
9
3.967856
Solve this system for x: 3.9678560534696836x + 1y = 10 2x + 4y = 12 FINAL:
2.018538
2.018538
linear_system
2
sinusoid
0.5
2
240
10
3.986947
Solve this system for x: 3.9869473807779947x + 1y = 10 2x + 4y = 12 FINAL:
2.007487
2.007487
linear_system
2
sinusoid
0.5
2
240
11
4.00654
Solve this system for x: 4.006540312923014x + 1y = 10 2x + 4y = 12 FINAL:
1.99627
1.99627
linear_system
2
sinusoid
0.5
2
240
12
4.025882
Solve this system for x: 4.025881904510252x + 1y = 10 2x + 4y = 12 FINAL:
1.985319
1.985319
linear_system
2
sinusoid
0.5
2
240
13
4.044229
Solve this system for x: 4.0442288690219x + 1y = 10 2x + 4y = 12 FINAL:
1.975042
1.975042
linear_system
2
sinusoid
0.5
2
240
14
4.060876
Solve this system for x: 4.060876142900872x + 1y = 10 2x + 4y = 12 FINAL:
1.965808
1.965808
linear_system
2
sinusoid
0.5
2
240
15
4.075184
Solve this system for x: 4.075183980747898x + 1y = 10 2x + 4y = 12 FINAL:
1.957941
1.957941
linear_system
2
sinusoid
0.5
2
240
16
4.086603
Solve this system for x: 4.086602540378443x + 1y = 10 2x + 4y = 12 FINAL:
1.951708
1.951708
linear_system
2
sinusoid
0.5
2
240
17
4.094693
Solve this system for x: 4.09469301294951x + 1y = 10 2x + 4y = 12 FINAL:
1.947315
1.947315
linear_system
2
sinusoid
0.5
2
240
18
4.099144
Solve this system for x: 4.099144486137381x + 1y = 10 2x + 4y = 12 FINAL:
1.944907
1.944907
linear_system
2
sinusoid
0.5
2
240
19
4.099786
Solve this system for x: 4.09978589232386x + 1y = 10 2x + 4y = 12 FINAL:
1.94456
1.94456
linear_system
2
sinusoid
0.5
2
240
20
4.096593
Solve this system for x: 4.096592582628907x + 1y = 10 2x + 4y = 12 FINAL:
1.946287
1.946287
linear_system
2
sinusoid
0.5
2
240
21
4.089687
Solve this system for x: 4.089687274153269x + 1y = 10 2x + 4y = 12 FINAL:
1.950031
1.950031
linear_system
2
sinusoid
0.5
2
240
22
4.079335
Solve this system for x: 4.079335334029124x + 1y = 10 2x + 4y = 12 FINAL:
1.95567
1.95567
linear_system
2
sinusoid
0.5
2
240
23
4.065935
Solve this system for x: 4.065934581510007x + 1y = 10 2x + 4y = 12 FINAL:
1.96302
1.96302
linear_system
2
sinusoid
0.5
2
240
24
4.05
Solve this system for x: 4.05x + 1y = 10 2x + 4y = 12 FINAL:
1.971831
1.971831
linear_system
2
sinusoid
0.5
2
240
25
4.032144
Solve this system for x: 4.032143946530316x + 1y = 10 2x + 4y = 12 FINAL:
1.981799
1.981799
linear_system
2
sinusoid
0.5
2
240
26
4.013053
Solve this system for x: 4.013052619222005x + 1y = 10 2x + 4y = 12 FINAL:
1.992569
1.992569
linear_system
2
sinusoid
0.5
2
240
27
3.99346
Solve this system for x: 3.993459687076986x + 1y = 10 2x + 4y = 12 FINAL:
2.003744
2.003744
linear_system
2
sinusoid
0.5
2
240
28
3.974118
Solve this system for x: 3.974118095489748x + 1y = 10 2x + 4y = 12 FINAL:
2.0149
2.0149
linear_system
2
sinusoid
0.5
2
240
29
3.955771
Solve this system for x: 3.9557711309781x + 1y = 10 2x + 4y = 12 FINAL:
2.025597
2.025597
linear_system
2
sinusoid
0.5
2
240
30
3.939124
Solve this system for x: 3.939123857099128x + 1y = 10 2x + 4y = 12 FINAL:
2.035402
2.035402
linear_system
2
sinusoid
0.5
2
240
31
3.924816
Solve this system for x: 3.9248160192521024x + 1y = 10 2x + 4y = 12 FINAL:
2.043905
2.043905
linear_system
2
sinusoid
0.5
2
240
32
3.913397
Solve this system for x: 3.913397459621556x + 1y = 10 2x + 4y = 12 FINAL:
2.050743
2.050743
linear_system
2
sinusoid
0.5
2
240
33
3.905307
Solve this system for x: 3.9053069870504893x + 1y = 10 2x + 4y = 12 FINAL:
2.055615
2.055615
linear_system
2
sinusoid
0.5
2
240
34
3.900856
Solve this system for x: 3.900855513862619x + 1y = 10 2x + 4y = 12 FINAL:
2.058306
2.058306
linear_system
2
sinusoid
0.5
2
240
35
3.900214
Solve this system for x: 3.9002141076761396x + 1y = 10 2x + 4y = 12 FINAL:
2.058694
2.058694
linear_system
2
sinusoid
0.5
2
240
36
3.903407
Solve this system for x: 3.9034074173710933x + 1y = 10 2x + 4y = 12 FINAL:
2.056762
2.056762
linear_system
2
sinusoid
0.5
2
240
37
3.910313
Solve this system for x: 3.910312725846731x + 1y = 10 2x + 4y = 12 FINAL:
2.052598
2.052598
linear_system
2
sinusoid
0.5
2
240
38
3.920665
Solve this system for x: 3.920664665970876x + 1y = 10 2x + 4y = 12 FINAL:
2.046386
2.046386
linear_system
2
sinusoid
0.5
2
240
39
3.934065
Solve this system for x: 3.9340654184899932x + 1y = 10 2x + 4y = 12 FINAL:
2.0384
2.0384
linear_system
2
sinusoid
0.5
2
240
40
3.95
Solve this system for x: 3.95x + 1y = 10 2x + 4y = 12 FINAL:
2.028986
2.028986
linear_system
2
sinusoid
0.5
2
240
41
3.967856
Solve this system for x: 3.9678560534696836x + 1y = 10 2x + 4y = 12 FINAL:
2.018538
2.018538
linear_system
2
sinusoid
0.5
2
240
42
3.986947
Solve this system for x: 3.9869473807779947x + 1y = 10 2x + 4y = 12 FINAL:
2.007487
2.007487
linear_system
2
sinusoid
0.5
2
240
43
4.00654
Solve this system for x: 4.006540312923014x + 1y = 10 2x + 4y = 12 FINAL:
1.99627
1.99627
linear_system
2
sinusoid
0.5
2
240
44
4.025882
Solve this system for x: 4.025881904510252x + 1y = 10 2x + 4y = 12 FINAL:
1.985319
1.985319
linear_system
2
sinusoid
0.5
2
240
45
4.044229
Solve this system for x: 4.0442288690219x + 1y = 10 2x + 4y = 12 FINAL:
1.975042
1.975042
linear_system
2
sinusoid
0.5
2
240
46
4.060876
Solve this system for x: 4.060876142900872x + 1y = 10 2x + 4y = 12 FINAL:
1.965808
1.965808
linear_system
2
sinusoid
0.5
2
240
47
4.075184
Solve this system for x: 4.075183980747898x + 1y = 10 2x + 4y = 12 FINAL:
1.957941
1.957941
linear_system
2
sinusoid
0.5
2
240
48
4.086603
Solve this system for x: 4.086602540378443x + 1y = 10 2x + 4y = 12 FINAL:
1.951708
1.951708
linear_system
2
sinusoid
0.5
2
240
49
4.094693
Solve this system for x: 4.09469301294951x + 1y = 10 2x + 4y = 12 FINAL:
1.947315
1.947315
linear_system
2
sinusoid
0.5
2
240
50
4.099144
Solve this system for x: 4.099144486137381x + 1y = 10 2x + 4y = 12 FINAL:
1.944907
1.944907
linear_system
2
sinusoid
0.5
2
240
51
4.099786
Solve this system for x: 4.09978589232386x + 1y = 10 2x + 4y = 12 FINAL:
1.94456
1.94456
linear_system
2
sinusoid
0.5
2
240
52
4.096593
Solve this system for x: 4.096592582628907x + 1y = 10 2x + 4y = 12 FINAL:
1.946287
1.946287
linear_system
2
sinusoid
0.5
2
240
53
4.089687
Solve this system for x: 4.089687274153269x + 1y = 10 2x + 4y = 12 FINAL:
1.950031
1.950031
linear_system
2
sinusoid
0.5
2
240
54
4.079335
Solve this system for x: 4.079335334029124x + 1y = 10 2x + 4y = 12 FINAL:
1.95567
1.95567
linear_system
2
sinusoid
0.5
2
240
55
4.065935
Solve this system for x: 4.065934581510007x + 1y = 10 2x + 4y = 12 FINAL:
1.96302
1.96302
linear_system
2
sinusoid
0.5
2
240
56
4.05
Solve this system for x: 4.05x + 1y = 10 2x + 4y = 12 FINAL:
1.971831
1.971831
linear_system
2
sinusoid
0.5
2
240
57
4.032144
Solve this system for x: 4.032143946530316x + 1y = 10 2x + 4y = 12 FINAL:
1.981799
1.981799
linear_system
2
sinusoid
0.5
2
240
58
4.013053
Solve this system for x: 4.013052619222005x + 1y = 10 2x + 4y = 12 FINAL:
1.992569
1.992569
linear_system
2
sinusoid
0.5
2
240
59
3.99346
Solve this system for x: 3.993459687076986x + 1y = 10 2x + 4y = 12 FINAL:
2.003744
2.003744
linear_system
2
sinusoid
0.5
2
240
60
3.974118
Solve this system for x: 3.9741180954897484x + 1y = 10 2x + 4y = 12 FINAL:
2.0149
2.0149
linear_system
2
sinusoid
0.5
2
240
61
3.955771
Solve this system for x: 3.9557711309781x + 1y = 10 2x + 4y = 12 FINAL:
2.025597
2.025597
linear_system
2
sinusoid
0.5
2
240
62
3.939124
Solve this system for x: 3.939123857099128x + 1y = 10 2x + 4y = 12 FINAL:
2.035402
2.035402
linear_system
2
sinusoid
0.5
2
240
63
3.924816
Solve this system for x: 3.9248160192521024x + 1y = 10 2x + 4y = 12 FINAL:
2.043905
2.043905
linear_system
2
sinusoid
0.5
4
240
0
3.913397
Solve this system for x: 3.913397459621556x + 1y = 10 2x + 4y = 12 FINAL:
2.050743
2.050743
linear_system
2
sinusoid
0.5
4
240
1
3.900856
Solve this system for x: 3.900855513862619x + 1y = 10 2x + 4y = 12 FINAL:
2.058306
2.058306
linear_system
2
sinusoid
0.5
4
240
2
3.903407
Solve this system for x: 3.9034074173710933x + 1y = 10 2x + 4y = 12 FINAL:
2.056762
2.056762
linear_system
2
sinusoid
0.5
4
240
3
3.920665
Solve this system for x: 3.9206646659708766x + 1y = 10 2x + 4y = 12 FINAL:
2.046386
2.046386
linear_system
2
sinusoid
0.5
4
240
4
3.95
Solve this system for x: 3.95x + 1y = 10 2x + 4y = 12 FINAL:
2.028986
2.028986
linear_system
2
sinusoid
0.5
4
240
5
3.986947
Solve this system for x: 3.9869473807779947x + 1y = 10 2x + 4y = 12 FINAL:
2.007487
2.007487
linear_system
2
sinusoid
0.5
4
240
6
4.025882
Solve this system for x: 4.025881904510252x + 1y = 10 2x + 4y = 12 FINAL:
1.985319
1.985319
linear_system
2
sinusoid
0.5
4
240
7
4.060876
Solve this system for x: 4.060876142900872x + 1y = 10 2x + 4y = 12 FINAL:
1.965808
1.965808
linear_system
2
sinusoid
0.5
4
240
8
4.086603
Solve this system for x: 4.086602540378443x + 1y = 10 2x + 4y = 12 FINAL:
1.951708
1.951708
linear_system
2
sinusoid
0.5
4
240
9
4.099144
Solve this system for x: 4.099144486137381x + 1y = 10 2x + 4y = 12 FINAL:
1.944907
1.944907
linear_system
2
sinusoid
0.5
4
240
10
4.096593
Solve this system for x: 4.096592582628907x + 1y = 10 2x + 4y = 12 FINAL:
1.946287
1.946287
linear_system
2
sinusoid
0.5
4
240
11
4.079335
Solve this system for x: 4.079335334029124x + 1y = 10 2x + 4y = 12 FINAL:
1.95567
1.95567