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
| 0 |
sinusoid
| 0.5 | 1 | 0 | 0 | 4 |
Solve this system for x:
4.0x + 1y = 7
1x + 5y = 11
FINAL:
| 1.263158 | 1.263158 |
linear_system
| 0 |
sinusoid
| 0.5 | 1 | 0 | 1 | 4.009802 |
Solve this system for x:
4.009801714032956x + 1y = 7
1x + 5y = 11
FINAL:
| 1.259908 | 1.259908 |
linear_system
| 0 |
sinusoid
| 0.5 | 1 | 0 | 2 | 4.019509 |
Solve this system for x:
4.019509032201613x + 1y = 7
1x + 5y = 11
FINAL:
| 1.256706 | 1.256706 |
linear_system
| 0 |
sinusoid
| 0.5 | 1 | 0 | 3 | 4.029028 |
Solve this system for x:
4.029028467725446x + 1y = 7
1x + 5y = 11
FINAL:
| 1.253582 | 1.253582 |
linear_system
| 0 |
sinusoid
| 0.5 | 1 | 0 | 4 | 4.038268 |
Solve this system for x:
4.038268343236509x + 1y = 7
1x + 5y = 11
FINAL:
| 1.250564 | 1.250564 |
linear_system
| 0 |
sinusoid
| 0.5 | 1 | 0 | 5 | 4.04714 |
Solve this system for x:
4.0471396736826x + 1y = 7
1x + 5y = 11
FINAL:
| 1.24768 | 1.24768 |
linear_system
| 0 |
sinusoid
| 0.5 | 1 | 0 | 6 | 4.055557 |
Solve this system for x:
4.05555702330196x + 1y = 7
1x + 5y = 11
FINAL:
| 1.244956 | 1.244956 |
linear_system
| 0 |
sinusoid
| 0.5 | 1 | 0 | 7 | 4.063439 |
Solve this system for x:
4.063439328416364x + 1y = 7
1x + 5y = 11
FINAL:
| 1.242416 | 1.242416 |
linear_system
| 0 |
sinusoid
| 0.5 | 1 | 0 | 8 | 4.070711 |
Solve this system for x:
4.070710678118655x + 1y = 7
1x + 5y = 11
FINAL:
| 1.240082 | 1.240082 |
linear_system
| 0 |
sinusoid
| 0.5 | 1 | 0 | 9 | 4.077301 |
Solve this system for x:
4.077301045336274x + 1y = 7
1x + 5y = 11
FINAL:
| 1.237975 | 1.237975 |
linear_system
| 0 |
sinusoid
| 0.5 | 1 | 0 | 10 | 4.083147 |
Solve this system for x:
4.083146961230255x + 1y = 7
1x + 5y = 11
FINAL:
| 1.236111 | 1.236111 |
linear_system
| 0 |
sinusoid
| 0.5 | 1 | 0 | 11 | 4.088192 |
Solve this system for x:
4.088192126434835x + 1y = 7
1x + 5y = 11
FINAL:
| 1.234507 | 1.234507 |
linear_system
| 0 |
sinusoid
| 0.5 | 1 | 0 | 12 | 4.092388 |
Solve this system for x:
4.092387953251128x + 1y = 7
1x + 5y = 11
FINAL:
| 1.233176 | 1.233176 |
linear_system
| 0 |
sinusoid
| 0.5 | 1 | 0 | 13 | 4.095694 |
Solve this system for x:
4.095694033573221x + 1y = 7
1x + 5y = 11
FINAL:
| 1.23213 | 1.23213 |
linear_system
| 0 |
sinusoid
| 0.5 | 1 | 0 | 14 | 4.098079 |
Solve this system for x:
4.098078528040323x + 1y = 7
1x + 5y = 11
FINAL:
| 1.231376 | 1.231376 |
linear_system
| 0 |
sinusoid
| 0.5 | 1 | 0 | 15 | 4.099518 |
Solve this system for x:
4.09951847266722x + 1y = 7
1x + 5y = 11
FINAL:
| 1.230921 | 1.230921 |
linear_system
| 0 |
sinusoid
| 0.5 | 1 | 0 | 16 | 4.1 |
Solve this system for x:
4.1x + 1y = 7
1x + 5y = 11
FINAL:
| 1.230769 | 1.230769 |
linear_system
| 0 |
sinusoid
| 0.5 | 1 | 0 | 17 | 4.099518 |
Solve this system for x:
4.09951847266722x + 1y = 7
1x + 5y = 11
FINAL:
| 1.230921 | 1.230921 |
linear_system
| 0 |
sinusoid
| 0.5 | 1 | 0 | 18 | 4.098079 |
Solve this system for x:
4.098078528040323x + 1y = 7
1x + 5y = 11
FINAL:
| 1.231376 | 1.231376 |
linear_system
| 0 |
sinusoid
| 0.5 | 1 | 0 | 19 | 4.095694 |
Solve this system for x:
4.095694033573221x + 1y = 7
1x + 5y = 11
FINAL:
| 1.23213 | 1.23213 |
linear_system
| 0 |
sinusoid
| 0.5 | 1 | 0 | 20 | 4.092388 |
Solve this system for x:
4.092387953251128x + 1y = 7
1x + 5y = 11
FINAL:
| 1.233176 | 1.233176 |
linear_system
| 0 |
sinusoid
| 0.5 | 1 | 0 | 21 | 4.088192 |
Solve this system for x:
4.088192126434835x + 1y = 7
1x + 5y = 11
FINAL:
| 1.234507 | 1.234507 |
linear_system
| 0 |
sinusoid
| 0.5 | 1 | 0 | 22 | 4.083147 |
Solve this system for x:
4.083146961230255x + 1y = 7
1x + 5y = 11
FINAL:
| 1.236111 | 1.236111 |
linear_system
| 0 |
sinusoid
| 0.5 | 1 | 0 | 23 | 4.077301 |
Solve this system for x:
4.077301045336274x + 1y = 7
1x + 5y = 11
FINAL:
| 1.237975 | 1.237975 |
linear_system
| 0 |
sinusoid
| 0.5 | 1 | 0 | 24 | 4.070711 |
Solve this system for x:
4.070710678118655x + 1y = 7
1x + 5y = 11
FINAL:
| 1.240082 | 1.240082 |
linear_system
| 0 |
sinusoid
| 0.5 | 1 | 0 | 25 | 4.063439 |
Solve this system for x:
4.063439328416364x + 1y = 7
1x + 5y = 11
FINAL:
| 1.242416 | 1.242416 |
linear_system
| 0 |
sinusoid
| 0.5 | 1 | 0 | 26 | 4.055557 |
Solve this system for x:
4.05555702330196x + 1y = 7
1x + 5y = 11
FINAL:
| 1.244956 | 1.244956 |
linear_system
| 0 |
sinusoid
| 0.5 | 1 | 0 | 27 | 4.04714 |
Solve this system for x:
4.0471396736826x + 1y = 7
1x + 5y = 11
FINAL:
| 1.24768 | 1.24768 |
linear_system
| 0 |
sinusoid
| 0.5 | 1 | 0 | 28 | 4.038268 |
Solve this system for x:
4.038268343236509x + 1y = 7
1x + 5y = 11
FINAL:
| 1.250564 | 1.250564 |
linear_system
| 0 |
sinusoid
| 0.5 | 1 | 0 | 29 | 4.029028 |
Solve this system for x:
4.029028467725446x + 1y = 7
1x + 5y = 11
FINAL:
| 1.253582 | 1.253582 |
linear_system
| 0 |
sinusoid
| 0.5 | 1 | 0 | 30 | 4.019509 |
Solve this system for x:
4.019509032201613x + 1y = 7
1x + 5y = 11
FINAL:
| 1.256706 | 1.256706 |
linear_system
| 0 |
sinusoid
| 0.5 | 1 | 0 | 31 | 4.009802 |
Solve this system for x:
4.009801714032956x + 1y = 7
1x + 5y = 11
FINAL:
| 1.259908 | 1.259908 |
linear_system
| 0 |
sinusoid
| 0.5 | 1 | 0 | 32 | 4 |
Solve this system for x:
4.0x + 1y = 7
1x + 5y = 11
FINAL:
| 1.263158 | 1.263158 |
linear_system
| 0 |
sinusoid
| 0.5 | 1 | 0 | 33 | 3.990198 |
Solve this system for x:
3.9901982859670437x + 1y = 7
1x + 5y = 11
FINAL:
| 1.266425 | 1.266425 |
linear_system
| 0 |
sinusoid
| 0.5 | 1 | 0 | 34 | 3.980491 |
Solve this system for x:
3.9804909677983873x + 1y = 7
1x + 5y = 11
FINAL:
| 1.269676 | 1.269676 |
linear_system
| 0 |
sinusoid
| 0.5 | 1 | 0 | 35 | 3.970972 |
Solve this system for x:
3.970971532274554x + 1y = 7
1x + 5y = 11
FINAL:
| 1.272882 | 1.272882 |
linear_system
| 0 |
sinusoid
| 0.5 | 1 | 0 | 36 | 3.961732 |
Solve this system for x:
3.961731656763491x + 1y = 7
1x + 5y = 11
FINAL:
| 1.276008 | 1.276008 |
linear_system
| 0 |
sinusoid
| 0.5 | 1 | 0 | 37 | 3.95286 |
Solve this system for x:
3.9528603263174x + 1y = 7
1x + 5y = 11
FINAL:
| 1.279024 | 1.279024 |
linear_system
| 0 |
sinusoid
| 0.5 | 1 | 0 | 38 | 3.944443 |
Solve this system for x:
3.94444297669804x + 1y = 7
1x + 5y = 11
FINAL:
| 1.2819 | 1.2819 |
linear_system
| 0 |
sinusoid
| 0.5 | 1 | 0 | 39 | 3.936561 |
Solve this system for x:
3.9365606715836354x + 1y = 7
1x + 5y = 11
FINAL:
| 1.284604 | 1.284604 |
linear_system
| 0 |
sinusoid
| 0.5 | 1 | 0 | 40 | 3.929289 |
Solve this system for x:
3.9292893218813454x + 1y = 7
1x + 5y = 11
FINAL:
| 1.287109 | 1.287109 |
linear_system
| 0 |
sinusoid
| 0.5 | 1 | 0 | 41 | 3.922699 |
Solve this system for x:
3.9226989546637263x + 1y = 7
1x + 5y = 11
FINAL:
| 1.289387 | 1.289387 |
linear_system
| 0 |
sinusoid
| 0.5 | 1 | 0 | 42 | 3.916853 |
Solve this system for x:
3.9168530387697453x + 1y = 7
1x + 5y = 11
FINAL:
| 1.291415 | 1.291415 |
linear_system
| 0 |
sinusoid
| 0.5 | 1 | 0 | 43 | 3.911808 |
Solve this system for x:
3.9118078735651647x + 1y = 7
1x + 5y = 11
FINAL:
| 1.29317 | 1.29317 |
linear_system
| 0 |
sinusoid
| 0.5 | 1 | 0 | 44 | 3.907612 |
Solve this system for x:
3.9076120467488713x + 1y = 7
1x + 5y = 11
FINAL:
| 1.294634 | 1.294634 |
linear_system
| 0 |
sinusoid
| 0.5 | 1 | 0 | 45 | 3.904306 |
Solve this system for x:
3.904305966426779x + 1y = 7
1x + 5y = 11
FINAL:
| 1.295789 | 1.295789 |
linear_system
| 0 |
sinusoid
| 0.5 | 1 | 0 | 46 | 3.901921 |
Solve this system for x:
3.901921471959677x + 1y = 7
1x + 5y = 11
FINAL:
| 1.296624 | 1.296624 |
linear_system
| 0 |
sinusoid
| 0.5 | 1 | 0 | 47 | 3.900482 |
Solve this system for x:
3.90048152733278x + 1y = 7
1x + 5y = 11
FINAL:
| 1.297128 | 1.297128 |
linear_system
| 0 |
sinusoid
| 0.5 | 1 | 0 | 48 | 3.9 |
Solve this system for x:
3.9x + 1y = 7
1x + 5y = 11
FINAL:
| 1.297297 | 1.297297 |
linear_system
| 0 |
sinusoid
| 0.5 | 1 | 0 | 49 | 3.900482 |
Solve this system for x:
3.90048152733278x + 1y = 7
1x + 5y = 11
FINAL:
| 1.297128 | 1.297128 |
linear_system
| 0 |
sinusoid
| 0.5 | 1 | 0 | 50 | 3.901921 |
Solve this system for x:
3.901921471959677x + 1y = 7
1x + 5y = 11
FINAL:
| 1.296624 | 1.296624 |
linear_system
| 0 |
sinusoid
| 0.5 | 1 | 0 | 51 | 3.904306 |
Solve this system for x:
3.904305966426779x + 1y = 7
1x + 5y = 11
FINAL:
| 1.295789 | 1.295789 |
linear_system
| 0 |
sinusoid
| 0.5 | 1 | 0 | 52 | 3.907612 |
Solve this system for x:
3.9076120467488713x + 1y = 7
1x + 5y = 11
FINAL:
| 1.294634 | 1.294634 |
linear_system
| 0 |
sinusoid
| 0.5 | 1 | 0 | 53 | 3.911808 |
Solve this system for x:
3.9118078735651647x + 1y = 7
1x + 5y = 11
FINAL:
| 1.29317 | 1.29317 |
linear_system
| 0 |
sinusoid
| 0.5 | 1 | 0 | 54 | 3.916853 |
Solve this system for x:
3.9168530387697453x + 1y = 7
1x + 5y = 11
FINAL:
| 1.291415 | 1.291415 |
linear_system
| 0 |
sinusoid
| 0.5 | 1 | 0 | 55 | 3.922699 |
Solve this system for x:
3.9226989546637263x + 1y = 7
1x + 5y = 11
FINAL:
| 1.289387 | 1.289387 |
linear_system
| 0 |
sinusoid
| 0.5 | 1 | 0 | 56 | 3.929289 |
Solve this system for x:
3.9292893218813454x + 1y = 7
1x + 5y = 11
FINAL:
| 1.287109 | 1.287109 |
linear_system
| 0 |
sinusoid
| 0.5 | 1 | 0 | 57 | 3.936561 |
Solve this system for x:
3.9365606715836354x + 1y = 7
1x + 5y = 11
FINAL:
| 1.284604 | 1.284604 |
linear_system
| 0 |
sinusoid
| 0.5 | 1 | 0 | 58 | 3.944443 |
Solve this system for x:
3.94444297669804x + 1y = 7
1x + 5y = 11
FINAL:
| 1.2819 | 1.2819 |
linear_system
| 0 |
sinusoid
| 0.5 | 1 | 0 | 59 | 3.95286 |
Solve this system for x:
3.9528603263174x + 1y = 7
1x + 5y = 11
FINAL:
| 1.279024 | 1.279024 |
linear_system
| 0 |
sinusoid
| 0.5 | 1 | 0 | 60 | 3.961732 |
Solve this system for x:
3.961731656763491x + 1y = 7
1x + 5y = 11
FINAL:
| 1.276008 | 1.276008 |
linear_system
| 0 |
sinusoid
| 0.5 | 1 | 0 | 61 | 3.970972 |
Solve this system for x:
3.970971532274554x + 1y = 7
1x + 5y = 11
FINAL:
| 1.272882 | 1.272882 |
linear_system
| 0 |
sinusoid
| 0.5 | 1 | 0 | 62 | 3.980491 |
Solve this system for x:
3.9804909677983873x + 1y = 7
1x + 5y = 11
FINAL:
| 1.269676 | 1.269676 |
linear_system
| 0 |
sinusoid
| 0.5 | 1 | 0 | 63 | 3.990198 |
Solve this system for x:
3.9901982859670437x + 1y = 7
1x + 5y = 11
FINAL:
| 1.266425 | 1.266425 |
linear_system
| 0 |
sinusoid
| 0.5 | 2 | 0 | 0 | 4 |
Solve this system for x:
4.0x + 1y = 7
1x + 5y = 11
FINAL:
| 1.263158 | 1.263158 |
linear_system
| 0 |
sinusoid
| 0.5 | 2 | 0 | 1 | 4.019509 |
Solve this system for x:
4.019509032201613x + 1y = 7
1x + 5y = 11
FINAL:
| 1.256706 | 1.256706 |
linear_system
| 0 |
sinusoid
| 0.5 | 2 | 0 | 2 | 4.038268 |
Solve this system for x:
4.038268343236509x + 1y = 7
1x + 5y = 11
FINAL:
| 1.250564 | 1.250564 |
linear_system
| 0 |
sinusoid
| 0.5 | 2 | 0 | 3 | 4.055557 |
Solve this system for x:
4.05555702330196x + 1y = 7
1x + 5y = 11
FINAL:
| 1.244956 | 1.244956 |
linear_system
| 0 |
sinusoid
| 0.5 | 2 | 0 | 4 | 4.070711 |
Solve this system for x:
4.070710678118655x + 1y = 7
1x + 5y = 11
FINAL:
| 1.240082 | 1.240082 |
linear_system
| 0 |
sinusoid
| 0.5 | 2 | 0 | 5 | 4.083147 |
Solve this system for x:
4.083146961230255x + 1y = 7
1x + 5y = 11
FINAL:
| 1.236111 | 1.236111 |
linear_system
| 0 |
sinusoid
| 0.5 | 2 | 0 | 6 | 4.092388 |
Solve this system for x:
4.092387953251128x + 1y = 7
1x + 5y = 11
FINAL:
| 1.233176 | 1.233176 |
linear_system
| 0 |
sinusoid
| 0.5 | 2 | 0 | 7 | 4.098079 |
Solve this system for x:
4.098078528040323x + 1y = 7
1x + 5y = 11
FINAL:
| 1.231376 | 1.231376 |
linear_system
| 0 |
sinusoid
| 0.5 | 2 | 0 | 8 | 4.1 |
Solve this system for x:
4.1x + 1y = 7
1x + 5y = 11
FINAL:
| 1.230769 | 1.230769 |
linear_system
| 0 |
sinusoid
| 0.5 | 2 | 0 | 9 | 4.098079 |
Solve this system for x:
4.098078528040323x + 1y = 7
1x + 5y = 11
FINAL:
| 1.231376 | 1.231376 |
linear_system
| 0 |
sinusoid
| 0.5 | 2 | 0 | 10 | 4.092388 |
Solve this system for x:
4.092387953251128x + 1y = 7
1x + 5y = 11
FINAL:
| 1.233176 | 1.233176 |
linear_system
| 0 |
sinusoid
| 0.5 | 2 | 0 | 11 | 4.083147 |
Solve this system for x:
4.083146961230255x + 1y = 7
1x + 5y = 11
FINAL:
| 1.236111 | 1.236111 |
linear_system
| 0 |
sinusoid
| 0.5 | 2 | 0 | 12 | 4.070711 |
Solve this system for x:
4.070710678118655x + 1y = 7
1x + 5y = 11
FINAL:
| 1.240082 | 1.240082 |
linear_system
| 0 |
sinusoid
| 0.5 | 2 | 0 | 13 | 4.055557 |
Solve this system for x:
4.05555702330196x + 1y = 7
1x + 5y = 11
FINAL:
| 1.244956 | 1.244956 |
linear_system
| 0 |
sinusoid
| 0.5 | 2 | 0 | 14 | 4.038268 |
Solve this system for x:
4.038268343236509x + 1y = 7
1x + 5y = 11
FINAL:
| 1.250564 | 1.250564 |
linear_system
| 0 |
sinusoid
| 0.5 | 2 | 0 | 15 | 4.019509 |
Solve this system for x:
4.019509032201613x + 1y = 7
1x + 5y = 11
FINAL:
| 1.256706 | 1.256706 |
linear_system
| 0 |
sinusoid
| 0.5 | 2 | 0 | 16 | 4 |
Solve this system for x:
4.0x + 1y = 7
1x + 5y = 11
FINAL:
| 1.263158 | 1.263158 |
linear_system
| 0 |
sinusoid
| 0.5 | 2 | 0 | 17 | 3.980491 |
Solve this system for x:
3.9804909677983873x + 1y = 7
1x + 5y = 11
FINAL:
| 1.269676 | 1.269676 |
linear_system
| 0 |
sinusoid
| 0.5 | 2 | 0 | 18 | 3.961732 |
Solve this system for x:
3.961731656763491x + 1y = 7
1x + 5y = 11
FINAL:
| 1.276008 | 1.276008 |
linear_system
| 0 |
sinusoid
| 0.5 | 2 | 0 | 19 | 3.944443 |
Solve this system for x:
3.94444297669804x + 1y = 7
1x + 5y = 11
FINAL:
| 1.2819 | 1.2819 |
linear_system
| 0 |
sinusoid
| 0.5 | 2 | 0 | 20 | 3.929289 |
Solve this system for x:
3.9292893218813454x + 1y = 7
1x + 5y = 11
FINAL:
| 1.287109 | 1.287109 |
linear_system
| 0 |
sinusoid
| 0.5 | 2 | 0 | 21 | 3.916853 |
Solve this system for x:
3.9168530387697453x + 1y = 7
1x + 5y = 11
FINAL:
| 1.291415 | 1.291415 |
linear_system
| 0 |
sinusoid
| 0.5 | 2 | 0 | 22 | 3.907612 |
Solve this system for x:
3.9076120467488713x + 1y = 7
1x + 5y = 11
FINAL:
| 1.294634 | 1.294634 |
linear_system
| 0 |
sinusoid
| 0.5 | 2 | 0 | 23 | 3.901921 |
Solve this system for x:
3.901921471959677x + 1y = 7
1x + 5y = 11
FINAL:
| 1.296624 | 1.296624 |
linear_system
| 0 |
sinusoid
| 0.5 | 2 | 0 | 24 | 3.9 |
Solve this system for x:
3.9x + 1y = 7
1x + 5y = 11
FINAL:
| 1.297297 | 1.297297 |
linear_system
| 0 |
sinusoid
| 0.5 | 2 | 0 | 25 | 3.901921 |
Solve this system for x:
3.901921471959677x + 1y = 7
1x + 5y = 11
FINAL:
| 1.296624 | 1.296624 |
linear_system
| 0 |
sinusoid
| 0.5 | 2 | 0 | 26 | 3.907612 |
Solve this system for x:
3.9076120467488713x + 1y = 7
1x + 5y = 11
FINAL:
| 1.294634 | 1.294634 |
linear_system
| 0 |
sinusoid
| 0.5 | 2 | 0 | 27 | 3.916853 |
Solve this system for x:
3.9168530387697453x + 1y = 7
1x + 5y = 11
FINAL:
| 1.291415 | 1.291415 |
linear_system
| 0 |
sinusoid
| 0.5 | 2 | 0 | 28 | 3.929289 |
Solve this system for x:
3.9292893218813454x + 1y = 7
1x + 5y = 11
FINAL:
| 1.287109 | 1.287109 |
linear_system
| 0 |
sinusoid
| 0.5 | 2 | 0 | 29 | 3.944443 |
Solve this system for x:
3.94444297669804x + 1y = 7
1x + 5y = 11
FINAL:
| 1.2819 | 1.2819 |
linear_system
| 0 |
sinusoid
| 0.5 | 2 | 0 | 30 | 3.961732 |
Solve this system for x:
3.961731656763491x + 1y = 7
1x + 5y = 11
FINAL:
| 1.276008 | 1.276008 |
linear_system
| 0 |
sinusoid
| 0.5 | 2 | 0 | 31 | 3.980491 |
Solve this system for x:
3.9804909677983873x + 1y = 7
1x + 5y = 11
FINAL:
| 1.269676 | 1.269676 |
linear_system
| 0 |
sinusoid
| 0.5 | 2 | 0 | 32 | 4 |
Solve this system for x:
4.0x + 1y = 7
1x + 5y = 11
FINAL:
| 1.263158 | 1.263158 |
linear_system
| 0 |
sinusoid
| 0.5 | 2 | 0 | 33 | 4.019509 |
Solve this system for x:
4.019509032201613x + 1y = 7
1x + 5y = 11
FINAL:
| 1.256706 | 1.256706 |
linear_system
| 0 |
sinusoid
| 0.5 | 2 | 0 | 34 | 4.038268 |
Solve this system for x:
4.038268343236509x + 1y = 7
1x + 5y = 11
FINAL:
| 1.250564 | 1.250564 |
linear_system
| 0 |
sinusoid
| 0.5 | 2 | 0 | 35 | 4.055557 |
Solve this system for x:
4.05555702330196x + 1y = 7
1x + 5y = 11
FINAL:
| 1.244956 | 1.244956 |
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