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
0
sinusoid
1
2
240
16
4.173205
Solve for x: 4.173205080756888x + 3 = 27 FINAL:
5.750975
5.750975
linear_solve
0
sinusoid
1
2
240
17
4.189386
Solve for x: 4.189386025899021x + 3 = 27 FINAL:
5.728763
5.728763
linear_solve
0
sinusoid
1
2
240
18
4.198289
Solve for x: 4.198288972274762x + 3 = 27 FINAL:
5.716615
5.716615
linear_solve
0
sinusoid
1
2
240
19
4.199572
Solve for x: 4.199571784647721x + 3 = 27 FINAL:
5.714868
5.714868
linear_solve
0
sinusoid
1
2
240
20
4.193185
Solve for x: 4.193185165257813x + 3 = 27 FINAL:
5.723573
5.723573
linear_solve
0
sinusoid
1
2
240
21
4.179375
Solve for x: 4.179374548306538x + 3 = 27 FINAL:
5.742486
5.742486
linear_solve
0
sinusoid
1
2
240
22
4.158671
Solve for x: 4.158670668058248x + 3 = 27 FINAL:
5.771075
5.771075
linear_solve
0
sinusoid
1
2
240
23
4.131869
Solve for x: 4.1318691630200135x + 3 = 27 FINAL:
5.808509
5.808509
linear_solve
0
sinusoid
1
2
240
24
4.1
Solve for x: 4.1x + 3 = 27 FINAL:
5.853659
5.853659
linear_solve
0
sinusoid
1
2
240
25
4.064288
Solve for x: 4.064287893060633x + 3 = 27 FINAL:
5.905093
5.905093
linear_solve
0
sinusoid
1
2
240
26
4.026105
Solve for x: 4.026105238444011x + 3 = 27 FINAL:
5.961096
5.961096
linear_solve
0
sinusoid
1
2
240
27
3.986919
Solve for x: 3.9869193741539717x + 3 = 27 FINAL:
6.019685
6.019685
linear_solve
0
sinusoid
1
2
240
28
3.948236
Solve for x: 3.948236190979496x + 3 = 27 FINAL:
6.078664
6.078664
linear_solve
0
sinusoid
1
2
240
29
3.911542
Solve for x: 3.9115422619561997x + 3 = 27 FINAL:
6.135687
6.135687
linear_solve
0
sinusoid
1
2
240
30
3.878248
Solve for x: 3.878247714198256x + 3 = 27 FINAL:
6.188362
6.188362
linear_solve
0
sinusoid
1
2
240
31
3.849632
Solve for x: 3.8496320385042044x + 3 = 27 FINAL:
6.234362
6.234362
linear_solve
0
sinusoid
1
2
240
32
3.826795
Solve for x: 3.8267949192431123x + 3 = 27 FINAL:
6.271567
6.271567
linear_solve
0
sinusoid
1
2
240
33
3.810614
Solve for x: 3.810613974100979x + 3 = 27 FINAL:
6.298198
6.298198
linear_solve
0
sinusoid
1
2
240
34
3.801711
Solve for x: 3.8017110277252377x + 3 = 27 FINAL:
6.312947
6.312947
linear_solve
0
sinusoid
1
2
240
35
3.800428
Solve for x: 3.8004282153522793x + 3 = 27 FINAL:
6.315078
6.315078
linear_solve
0
sinusoid
1
2
240
36
3.806815
Solve for x: 3.806814834742186x + 3 = 27 FINAL:
6.304483
6.304483
linear_solve
0
sinusoid
1
2
240
37
3.820625
Solve for x: 3.8206254516934623x + 3 = 27 FINAL:
6.281694
6.281694
linear_solve
0
sinusoid
1
2
240
38
3.841329
Solve for x: 3.8413293319417527x + 3 = 27 FINAL:
6.247837
6.247837
linear_solve
0
sinusoid
1
2
240
39
3.868131
Solve for x: 3.868130836979986x + 3 = 27 FINAL:
6.204547
6.204547
linear_solve
0
sinusoid
1
2
240
40
3.9
Solve for x: 3.9x + 3 = 27 FINAL:
6.153846
6.153846
linear_solve
0
sinusoid
1
2
240
41
3.935712
Solve for x: 3.9357121069393677x + 3 = 27 FINAL:
6.098007
6.098007
linear_solve
0
sinusoid
1
2
240
42
3.973895
Solve for x: 3.9738947615559894x + 3 = 27 FINAL:
6.039415
6.039415
linear_solve
0
sinusoid
1
2
240
43
4.013081
Solve for x: 4.013080625846028x + 3 = 27 FINAL:
5.980443
5.980443
linear_solve
0
sinusoid
1
2
240
44
4.051764
Solve for x: 4.051763809020503x + 3 = 27 FINAL:
5.923346
5.923346
linear_solve
0
sinusoid
1
2
240
45
4.088458
Solve for x: 4.0884577380438x + 3 = 27 FINAL:
5.870184
5.870184
linear_solve
0
sinusoid
1
2
240
46
4.121752
Solve for x: 4.121752285801744x + 3 = 27 FINAL:
5.822766
5.822766
linear_solve
0
sinusoid
1
2
240
47
4.150368
Solve for x: 4.150367961495795x + 3 = 27 FINAL:
5.78262
5.78262
linear_solve
0
sinusoid
1
2
240
48
4.173205
Solve for x: 4.173205080756888x + 3 = 27 FINAL:
5.750975
5.750975
linear_solve
0
sinusoid
1
2
240
49
4.189386
Solve for x: 4.1893860258990205x + 3 = 27 FINAL:
5.728763
5.728763
linear_solve
0
sinusoid
1
2
240
50
4.198289
Solve for x: 4.198288972274762x + 3 = 27 FINAL:
5.716615
5.716615
linear_solve
0
sinusoid
1
2
240
51
4.199572
Solve for x: 4.199571784647721x + 3 = 27 FINAL:
5.714868
5.714868
linear_solve
0
sinusoid
1
2
240
52
4.193185
Solve for x: 4.193185165257813x + 3 = 27 FINAL:
5.723573
5.723573
linear_solve
0
sinusoid
1
2
240
53
4.179375
Solve for x: 4.179374548306538x + 3 = 27 FINAL:
5.742486
5.742486
linear_solve
0
sinusoid
1
2
240
54
4.158671
Solve for x: 4.158670668058248x + 3 = 27 FINAL:
5.771075
5.771075
linear_solve
0
sinusoid
1
2
240
55
4.131869
Solve for x: 4.1318691630200135x + 3 = 27 FINAL:
5.808509
5.808509
linear_solve
0
sinusoid
1
2
240
56
4.1
Solve for x: 4.1x + 3 = 27 FINAL:
5.853659
5.853659
linear_solve
0
sinusoid
1
2
240
57
4.064288
Solve for x: 4.064287893060633x + 3 = 27 FINAL:
5.905093
5.905093
linear_solve
0
sinusoid
1
2
240
58
4.026105
Solve for x: 4.026105238444011x + 3 = 27 FINAL:
5.961096
5.961096
linear_solve
0
sinusoid
1
2
240
59
3.986919
Solve for x: 3.9869193741539717x + 3 = 27 FINAL:
6.019685
6.019685
linear_solve
0
sinusoid
1
2
240
60
3.948236
Solve for x: 3.9482361909794963x + 3 = 27 FINAL:
6.078664
6.078664
linear_solve
0
sinusoid
1
2
240
61
3.911542
Solve for x: 3.9115422619561997x + 3 = 27 FINAL:
6.135687
6.135687
linear_solve
0
sinusoid
1
2
240
62
3.878248
Solve for x: 3.878247714198256x + 3 = 27 FINAL:
6.188362
6.188362
linear_solve
0
sinusoid
1
2
240
63
3.849632
Solve for x: 3.849632038504205x + 3 = 27 FINAL:
6.234362
6.234362
linear_solve
0
sinusoid
1
4
240
0
3.826795
Solve for x: 3.8267949192431123x + 3 = 27 FINAL:
6.271567
6.271567
linear_solve
0
sinusoid
1
4
240
1
3.801711
Solve for x: 3.801711027725238x + 3 = 27 FINAL:
6.312947
6.312947
linear_solve
0
sinusoid
1
4
240
2
3.806815
Solve for x: 3.806814834742186x + 3 = 27 FINAL:
6.304483
6.304483
linear_solve
0
sinusoid
1
4
240
3
3.841329
Solve for x: 3.841329331941753x + 3 = 27 FINAL:
6.247837
6.247837
linear_solve
0
sinusoid
1
4
240
4
3.9
Solve for x: 3.9x + 3 = 27 FINAL:
6.153846
6.153846
linear_solve
0
sinusoid
1
4
240
5
3.973895
Solve for x: 3.9738947615559894x + 3 = 27 FINAL:
6.039415
6.039415
linear_solve
0
sinusoid
1
4
240
6
4.051764
Solve for x: 4.051763809020504x + 3 = 27 FINAL:
5.923346
5.923346
linear_solve
0
sinusoid
1
4
240
7
4.121752
Solve for x: 4.121752285801744x + 3 = 27 FINAL:
5.822766
5.822766
linear_solve
0
sinusoid
1
4
240
8
4.173205
Solve for x: 4.173205080756888x + 3 = 27 FINAL:
5.750975
5.750975
linear_solve
0
sinusoid
1
4
240
9
4.198289
Solve for x: 4.198288972274762x + 3 = 27 FINAL:
5.716615
5.716615
linear_solve
0
sinusoid
1
4
240
10
4.193185
Solve for x: 4.193185165257813x + 3 = 27 FINAL:
5.723573
5.723573
linear_solve
0
sinusoid
1
4
240
11
4.158671
Solve for x: 4.158670668058248x + 3 = 27 FINAL:
5.771075
5.771075
linear_solve
0
sinusoid
1
4
240
12
4.1
Solve for x: 4.1x + 3 = 27 FINAL:
5.853659
5.853659
linear_solve
0
sinusoid
1
4
240
13
4.026105
Solve for x: 4.026105238444011x + 3 = 27 FINAL:
5.961096
5.961096
linear_solve
0
sinusoid
1
4
240
14
3.948236
Solve for x: 3.948236190979496x + 3 = 27 FINAL:
6.078664
6.078664
linear_solve
0
sinusoid
1
4
240
15
3.878248
Solve for x: 3.878247714198256x + 3 = 27 FINAL:
6.188362
6.188362
linear_solve
0
sinusoid
1
4
240
16
3.826795
Solve for x: 3.8267949192431123x + 3 = 27 FINAL:
6.271567
6.271567
linear_solve
0
sinusoid
1
4
240
17
3.801711
Solve for x: 3.8017110277252377x + 3 = 27 FINAL:
6.312947
6.312947
linear_solve
0
sinusoid
1
4
240
18
3.806815
Solve for x: 3.806814834742186x + 3 = 27 FINAL:
6.304483
6.304483
linear_solve
0
sinusoid
1
4
240
19
3.841329
Solve for x: 3.8413293319417527x + 3 = 27 FINAL:
6.247837
6.247837
linear_solve
0
sinusoid
1
4
240
20
3.9
Solve for x: 3.9x + 3 = 27 FINAL:
6.153846
6.153846
linear_solve
0
sinusoid
1
4
240
21
3.973895
Solve for x: 3.9738947615559894x + 3 = 27 FINAL:
6.039415
6.039415
linear_solve
0
sinusoid
1
4
240
22
4.051764
Solve for x: 4.051763809020503x + 3 = 27 FINAL:
5.923346
5.923346
linear_solve
0
sinusoid
1
4
240
23
4.121752
Solve for x: 4.121752285801744x + 3 = 27 FINAL:
5.822766
5.822766
linear_solve
0
sinusoid
1
4
240
24
4.173205
Solve for x: 4.173205080756888x + 3 = 27 FINAL:
5.750975
5.750975
linear_solve
0
sinusoid
1
4
240
25
4.198289
Solve for x: 4.198288972274762x + 3 = 27 FINAL:
5.716615
5.716615
linear_solve
0
sinusoid
1
4
240
26
4.193185
Solve for x: 4.193185165257813x + 3 = 27 FINAL:
5.723573
5.723573
linear_solve
0
sinusoid
1
4
240
27
4.158671
Solve for x: 4.158670668058248x + 3 = 27 FINAL:
5.771075
5.771075
linear_solve
0
sinusoid
1
4
240
28
4.1
Solve for x: 4.1x + 3 = 27 FINAL:
5.853659
5.853659
linear_solve
0
sinusoid
1
4
240
29
4.026105
Solve for x: 4.026105238444011x + 3 = 27 FINAL:
5.961096
5.961096
linear_solve
0
sinusoid
1
4
240
30
3.948236
Solve for x: 3.9482361909794963x + 3 = 27 FINAL:
6.078664
6.078664
linear_solve
0
sinusoid
1
4
240
31
3.878248
Solve for x: 3.878247714198256x + 3 = 27 FINAL:
6.188362
6.188362
linear_solve
0
sinusoid
1
4
240
32
3.826795
Solve for x: 3.8267949192431123x + 3 = 27 FINAL:
6.271567
6.271567
linear_solve
0
sinusoid
1
4
240
33
3.801711
Solve for x: 3.8017110277252377x + 3 = 27 FINAL:
6.312947
6.312947
linear_solve
0
sinusoid
1
4
240
34
3.806815
Solve for x: 3.806814834742186x + 3 = 27 FINAL:
6.304483
6.304483
linear_solve
0
sinusoid
1
4
240
35
3.841329
Solve for x: 3.8413293319417527x + 3 = 27 FINAL:
6.247837
6.247837
linear_solve
0
sinusoid
1
4
240
36
3.9
Solve for x: 3.9x + 3 = 27 FINAL:
6.153846
6.153846
linear_solve
0
sinusoid
1
4
240
37
3.973895
Solve for x: 3.9738947615559894x + 3 = 27 FINAL:
6.039415
6.039415
linear_solve
0
sinusoid
1
4
240
38
4.051764
Solve for x: 4.051763809020503x + 3 = 27 FINAL:
5.923346
5.923346
linear_solve
0
sinusoid
1
4
240
39
4.121752
Solve for x: 4.121752285801744x + 3 = 27 FINAL:
5.822766
5.822766
linear_solve
0
sinusoid
1
4
240
40
4.173205
Solve for x: 4.173205080756888x + 3 = 27 FINAL:
5.750975
5.750975
linear_solve
0
sinusoid
1
4
240
41
4.198289
Solve for x: 4.198288972274762x + 3 = 27 FINAL:
5.716615
5.716615
linear_solve
0
sinusoid
1
4
240
42
4.193185
Solve for x: 4.193185165257813x + 3 = 27 FINAL:
5.723573
5.723573
linear_solve
0
sinusoid
1
4
240
43
4.158671
Solve for x: 4.158670668058248x + 3 = 27 FINAL:
5.771075
5.771075
linear_solve
0
sinusoid
1
4
240
44
4.1
Solve for x: 4.1000000000000005x + 3 = 27 FINAL:
5.853659
5.853659
linear_solve
0
sinusoid
1
4
240
45
4.026105
Solve for x: 4.026105238444011x + 3 = 27 FINAL:
5.961096
5.961096
linear_solve
0
sinusoid
1
4
240
46
3.948236
Solve for x: 3.9482361909794963x + 3 = 27 FINAL:
6.078664
6.078664
linear_solve
0
sinusoid
1
4
240
47
3.878248
Solve for x: 3.878247714198256x + 3 = 27 FINAL:
6.188362
6.188362
linear_solve
0
sinusoid
1
4
240
48
3.826795
Solve for x: 3.8267949192431123x + 3 = 27 FINAL:
6.271567
6.271567
linear_solve
0
sinusoid
1
4
240
49
3.801711
Solve for x: 3.801711027725238x + 3 = 27 FINAL:
6.312947
6.312947
linear_solve
0
sinusoid
1
4
240
50
3.806815
Solve for x: 3.806814834742186x + 3 = 27 FINAL:
6.304483
6.304483
linear_solve
0
sinusoid
1
4
240
51
3.841329
Solve for x: 3.8413293319417527x + 3 = 27 FINAL:
6.247837
6.247837