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
8
240
48
3.566987
Solve for x: 3.5669872981077804x + 5 = 41 FINAL:
10.092551
10.092551
linear_solve
1
sinusoid
2.5
8
240
49
3.517037
Solve for x: 3.5170370868554657x + 5 = 41 FINAL:
10.235889
10.235889
linear_solve
1
sinusoid
2.5
8
240
50
3.75
Solve for x: 3.750000000000001x + 5 = 41 FINAL:
9.6
9.6
linear_solve
1
sinusoid
2.5
8
240
51
4.12941
Solve for x: 4.12940952255126x + 5 = 41 FINAL:
8.717953
8.717953
linear_solve
1
sinusoid
2.5
8
240
52
4.433013
Solve for x: 4.4330127018922205x + 5 = 41 FINAL:
8.120888
8.120888
linear_solve
1
sinusoid
2.5
8
240
53
4.482963
Solve for x: 4.482962913144534x + 5 = 41 FINAL:
8.030403
8.030403
linear_solve
1
sinusoid
2.5
8
240
54
4.25
Solve for x: 4.250000000000001x + 5 = 41 FINAL:
8.470588
8.470588
linear_solve
1
sinusoid
2.5
8
240
55
3.87059
Solve for x: 3.8705904774487383x + 5 = 41 FINAL:
9.300906
9.300906
linear_solve
1
sinusoid
2.5
8
240
56
3.566987
Solve for x: 3.5669872981077804x + 5 = 41 FINAL:
10.092551
10.092551
linear_solve
1
sinusoid
2.5
8
240
57
3.517037
Solve for x: 3.5170370868554657x + 5 = 41 FINAL:
10.235889
10.235889
linear_solve
1
sinusoid
2.5
8
240
58
3.75
Solve for x: 3.750000000000001x + 5 = 41 FINAL:
9.6
9.6
linear_solve
1
sinusoid
2.5
8
240
59
4.12941
Solve for x: 4.12940952255126x + 5 = 41 FINAL:
8.717953
8.717953
linear_solve
1
sinusoid
2.5
8
240
60
4.433013
Solve for x: 4.433012701892219x + 5 = 41 FINAL:
8.120888
8.120888
linear_solve
1
sinusoid
2.5
8
240
61
4.482963
Solve for x: 4.482962913144534x + 5 = 41 FINAL:
8.030403
8.030403
linear_solve
1
sinusoid
2.5
8
240
62
4.25
Solve for x: 4.250000000000001x + 5 = 41 FINAL:
8.470588
8.470588
linear_solve
1
sinusoid
2.5
8
240
63
3.87059
Solve for x: 3.8705904774487383x + 5 = 41 FINAL:
9.300906
9.300906
linear_solve
1
sinusoid
2.5
16
240
0
3.566987
Solve for x: 3.566987298107781x + 5 = 41 FINAL:
10.092551
10.092551
linear_solve
1
sinusoid
2.5
16
240
1
3.75
Solve for x: 3.75x + 5 = 41 FINAL:
9.6
9.6
linear_solve
1
sinusoid
2.5
16
240
2
4.433013
Solve for x: 4.433012701892219x + 5 = 41 FINAL:
8.120888
8.120888
linear_solve
1
sinusoid
2.5
16
240
3
4.25
Solve for x: 4.25x + 5 = 41 FINAL:
8.470588
8.470588
linear_solve
1
sinusoid
2.5
16
240
4
3.566987
Solve for x: 3.5669872981077813x + 5 = 41 FINAL:
10.092551
10.092551
linear_solve
1
sinusoid
2.5
16
240
5
3.75
Solve for x: 3.75x + 5 = 41 FINAL:
9.6
9.6
linear_solve
1
sinusoid
2.5
16
240
6
4.433013
Solve for x: 4.433012701892219x + 5 = 41 FINAL:
8.120888
8.120888
linear_solve
1
sinusoid
2.5
16
240
7
4.25
Solve for x: 4.25x + 5 = 41 FINAL:
8.470588
8.470588
linear_solve
1
sinusoid
2.5
16
240
8
3.566987
Solve for x: 3.5669872981077813x + 5 = 41 FINAL:
10.092551
10.092551
linear_solve
1
sinusoid
2.5
16
240
9
3.75
Solve for x: 3.75x + 5 = 41 FINAL:
9.6
9.6
linear_solve
1
sinusoid
2.5
16
240
10
4.433013
Solve for x: 4.433012701892219x + 5 = 41 FINAL:
8.120888
8.120888
linear_solve
1
sinusoid
2.5
16
240
11
4.25
Solve for x: 4.250000000000002x + 5 = 41 FINAL:
8.470588
8.470588
linear_solve
1
sinusoid
2.5
16
240
12
3.566987
Solve for x: 3.5669872981077813x + 5 = 41 FINAL:
10.092551
10.092551
linear_solve
1
sinusoid
2.5
16
240
13
3.75
Solve for x: 3.75x + 5 = 41 FINAL:
9.6
9.6
linear_solve
1
sinusoid
2.5
16
240
14
4.433013
Solve for x: 4.433012701892219x + 5 = 41 FINAL:
8.120888
8.120888
linear_solve
1
sinusoid
2.5
16
240
15
4.25
Solve for x: 4.250000000000002x + 5 = 41 FINAL:
8.470588
8.470588
linear_solve
1
sinusoid
2.5
16
240
16
3.566987
Solve for x: 3.5669872981077813x + 5 = 41 FINAL:
10.092551
10.092551
linear_solve
1
sinusoid
2.5
16
240
17
3.75
Solve for x: 3.7499999999999996x + 5 = 41 FINAL:
9.6
9.6
linear_solve
1
sinusoid
2.5
16
240
18
4.433013
Solve for x: 4.433012701892219x + 5 = 41 FINAL:
8.120888
8.120888
linear_solve
1
sinusoid
2.5
16
240
19
4.25
Solve for x: 4.25x + 5 = 41 FINAL:
8.470588
8.470588
linear_solve
1
sinusoid
2.5
16
240
20
3.566987
Solve for x: 3.5669872981077804x + 5 = 41 FINAL:
10.092551
10.092551
linear_solve
1
sinusoid
2.5
16
240
21
3.75
Solve for x: 3.7500000000000013x + 5 = 41 FINAL:
9.6
9.6
linear_solve
1
sinusoid
2.5
16
240
22
4.433013
Solve for x: 4.433012701892219x + 5 = 41 FINAL:
8.120888
8.120888
linear_solve
1
sinusoid
2.5
16
240
23
4.25
Solve for x: 4.25x + 5 = 41 FINAL:
8.470588
8.470588
linear_solve
1
sinusoid
2.5
16
240
24
3.566987
Solve for x: 3.5669872981077804x + 5 = 41 FINAL:
10.092551
10.092551
linear_solve
1
sinusoid
2.5
16
240
25
3.75
Solve for x: 3.750000000000001x + 5 = 41 FINAL:
9.6
9.6
linear_solve
1
sinusoid
2.5
16
240
26
4.433013
Solve for x: 4.4330127018922205x + 5 = 41 FINAL:
8.120888
8.120888
linear_solve
1
sinusoid
2.5
16
240
27
4.25
Solve for x: 4.250000000000001x + 5 = 41 FINAL:
8.470588
8.470588
linear_solve
1
sinusoid
2.5
16
240
28
3.566987
Solve for x: 3.5669872981077804x + 5 = 41 FINAL:
10.092551
10.092551
linear_solve
1
sinusoid
2.5
16
240
29
3.75
Solve for x: 3.750000000000001x + 5 = 41 FINAL:
9.6
9.6
linear_solve
1
sinusoid
2.5
16
240
30
4.433013
Solve for x: 4.433012701892219x + 5 = 41 FINAL:
8.120888
8.120888
linear_solve
1
sinusoid
2.5
16
240
31
4.25
Solve for x: 4.250000000000001x + 5 = 41 FINAL:
8.470588
8.470588
linear_solve
1
sinusoid
2.5
16
240
32
3.566987
Solve for x: 3.5669872981077804x + 5 = 41 FINAL:
10.092551
10.092551
linear_solve
1
sinusoid
2.5
16
240
33
3.75
Solve for x: 3.750000000000001x + 5 = 41 FINAL:
9.6
9.6
linear_solve
1
sinusoid
2.5
16
240
34
4.433013
Solve for x: 4.4330127018922205x + 5 = 41 FINAL:
8.120888
8.120888
linear_solve
1
sinusoid
2.5
16
240
35
4.25
Solve for x: 4.250000000000001x + 5 = 41 FINAL:
8.470588
8.470588
linear_solve
1
sinusoid
2.5
16
240
36
3.566987
Solve for x: 3.566987298107781x + 5 = 41 FINAL:
10.092551
10.092551
linear_solve
1
sinusoid
2.5
16
240
37
3.75
Solve for x: 3.750000000000001x + 5 = 41 FINAL:
9.6
9.6
linear_solve
1
sinusoid
2.5
16
240
38
4.433013
Solve for x: 4.433012701892219x + 5 = 41 FINAL:
8.120888
8.120888
linear_solve
1
sinusoid
2.5
16
240
39
4.25
Solve for x: 4.250000000000001x + 5 = 41 FINAL:
8.470588
8.470588
linear_solve
1
sinusoid
2.5
16
240
40
3.566987
Solve for x: 3.5669872981077826x + 5 = 41 FINAL:
10.092551
10.092551
linear_solve
1
sinusoid
2.5
16
240
41
3.75
Solve for x: 3.7499999999999947x + 5 = 41 FINAL:
9.6
9.6
linear_solve
1
sinusoid
2.5
16
240
42
4.433013
Solve for x: 4.433012701892219x + 5 = 41 FINAL:
8.120888
8.120888
linear_solve
1
sinusoid
2.5
16
240
43
4.25
Solve for x: 4.250000000000004x + 5 = 41 FINAL:
8.470588
8.470588
linear_solve
1
sinusoid
2.5
16
240
44
3.566987
Solve for x: 3.5669872981077844x + 5 = 41 FINAL:
10.092551
10.092551
linear_solve
1
sinusoid
2.5
16
240
45
3.75
Solve for x: 3.7499999999999973x + 5 = 41 FINAL:
9.6
9.6
linear_solve
1
sinusoid
2.5
16
240
46
4.433013
Solve for x: 4.433012701892217x + 5 = 41 FINAL:
8.120888
8.120888
linear_solve
1
sinusoid
2.5
16
240
47
4.25
Solve for x: 4.250000000000001x + 5 = 41 FINAL:
8.470588
8.470588
linear_solve
1
sinusoid
2.5
16
240
48
3.566987
Solve for x: 3.5669872981077826x + 5 = 41 FINAL:
10.092551
10.092551
linear_solve
1
sinusoid
2.5
16
240
49
3.75
Solve for x: 3.7499999999999942x + 5 = 41 FINAL:
9.6
9.6
linear_solve
1
sinusoid
2.5
16
240
50
4.433013
Solve for x: 4.433012701892218x + 5 = 41 FINAL:
8.120888
8.120888
linear_solve
1
sinusoid
2.5
16
240
51
4.25
Solve for x: 4.250000000000004x + 5 = 41 FINAL:
8.470588
8.470588
linear_solve
1
sinusoid
2.5
16
240
52
3.566987
Solve for x: 3.566987298107781x + 5 = 41 FINAL:
10.092551
10.092551
linear_solve
1
sinusoid
2.5
16
240
53
3.75
Solve for x: 3.7499999999999973x + 5 = 41 FINAL:
9.6
9.6
linear_solve
1
sinusoid
2.5
16
240
54
4.433013
Solve for x: 4.433012701892216x + 5 = 41 FINAL:
8.120888
8.120888
linear_solve
1
sinusoid
2.5
16
240
55
4.25
Solve for x: 4.250000000000001x + 5 = 41 FINAL:
8.470588
8.470588
linear_solve
1
sinusoid
2.5
16
240
56
3.566987
Solve for x: 3.5669872981077826x + 5 = 41 FINAL:
10.092551
10.092551
linear_solve
1
sinusoid
2.5
16
240
57
3.75
Solve for x: 3.7499999999999942x + 5 = 41 FINAL:
9.6
9.6
linear_solve
1
sinusoid
2.5
16
240
58
4.433013
Solve for x: 4.433012701892218x + 5 = 41 FINAL:
8.120888
8.120888
linear_solve
1
sinusoid
2.5
16
240
59
4.25
Solve for x: 4.250000000000004x + 5 = 41 FINAL:
8.470588
8.470588
linear_solve
1
sinusoid
2.5
16
240
60
3.566987
Solve for x: 3.566987298107785x + 5 = 41 FINAL:
10.092551
10.092551
linear_solve
1
sinusoid
2.5
16
240
61
3.75
Solve for x: 3.749999999999997x + 5 = 41 FINAL:
9.6
9.6
linear_solve
1
sinusoid
2.5
16
240
62
4.433013
Solve for x: 4.433012701892216x + 5 = 41 FINAL:
8.120888
8.120888
linear_solve
1
sinusoid
2.5
16
240
63
4.25
Solve for x: 4.250000000000002x + 5 = 41 FINAL:
8.470588
8.470588
linear_solve
2
sinusoid
2.5
1
0
0
4
Solve for x: 4.0x + 2 = 18 FINAL:
4
4
linear_solve
2
sinusoid
2.5
1
0
1
4.049009
Solve for x: 4.04900857016478x + 2 = 18 FINAL:
3.951585
3.951585
linear_solve
2
sinusoid
2.5
1
0
2
4.097545
Solve for x: 4.097545161008064x + 2 = 18 FINAL:
3.904777
3.904777
linear_solve
2
sinusoid
2.5
1
0
3
4.145142
Solve for x: 4.145142338627231x + 2 = 18 FINAL:
3.85994
3.85994
linear_solve
2
sinusoid
2.5
1
0
4
4.191342
Solve for x: 4.191341716182545x + 2 = 18 FINAL:
3.817393
3.817393
linear_solve
2
sinusoid
2.5
1
0
5
4.235698
Solve for x: 4.235698368412999x + 2 = 18 FINAL:
3.777417
3.777417
linear_solve
2
sinusoid
2.5
1
0
6
4.277785
Solve for x: 4.277785116509801x + 2 = 18 FINAL:
3.740253
3.740253
linear_solve
2
sinusoid
2.5
1
0
7
4.317197
Solve for x: 4.317196642081822x + 2 = 18 FINAL:
3.706109
3.706109
linear_solve
2
sinusoid
2.5
1
0
8
4.353553
Solve for x: 4.353553390593274x + 2 = 18 FINAL:
3.675159
3.675159
linear_solve
2
sinusoid
2.5
1
0
9
4.386505
Solve for x: 4.386505226681368x + 2 = 18 FINAL:
3.647551
3.647551
linear_solve
2
sinusoid
2.5
1
0
10
4.415735
Solve for x: 4.4157348061512725x + 2 = 18 FINAL:
3.623406
3.623406
linear_solve
2
sinusoid
2.5
1
0
11
4.440961
Solve for x: 4.4409606321741775x + 2 = 18 FINAL:
3.602824
3.602824
linear_solve
2
sinusoid
2.5
1
0
12
4.46194
Solve for x: 4.461939766255643x + 2 = 18 FINAL:
3.585884
3.585884
linear_solve
2
sinusoid
2.5
1
0
13
4.47847
Solve for x: 4.478470167866105x + 2 = 18 FINAL:
3.572649
3.572649
linear_solve
2
sinusoid
2.5
1
0
14
4.490393
Solve for x: 4.490392640201615x + 2 = 18 FINAL:
3.563163
3.563163
linear_solve
2
sinusoid
2.5
1
0
15
4.497592
Solve for x: 4.497592363336098x + 2 = 18 FINAL:
3.557459
3.557459
linear_solve
2
sinusoid
2.5
1
0
16
4.5
Solve for x: 4.5x + 2 = 18 FINAL:
3.555556
3.555556
linear_solve
2
sinusoid
2.5
1
0
17
4.497592
Solve for x: 4.497592363336098x + 2 = 18 FINAL:
3.557459
3.557459
linear_solve
2
sinusoid
2.5
1
0
18
4.490393
Solve for x: 4.490392640201615x + 2 = 18 FINAL:
3.563163
3.563163
linear_solve
2
sinusoid
2.5
1
0
19
4.47847
Solve for x: 4.478470167866105x + 2 = 18 FINAL:
3.572649
3.572649