ChainForge/chainforge/oaievals/linear-equations.cforge
ianarawjo b33397930b
TypeScript backend, HuggingFace models, JavaScript evaluators, Comment Nodes, and more (#81)
* Beginning to convert Python backend to Typescript

* Change all fetch() calls to fetch_from_backend switcher

* wip converting query.py to query.ts

* wip started utils.js conversion. Tested that OpenAI API call works

* more progress on converting utils.py to Typescript

* jest tests for query, utils, template.ts. Confirmed PromptPipeline works.

* wip converting queryLLM in flask_app to TS

* Tested queryLLM and StorageCache compressed saving/loading

* wip execute() in backend.ts

* Added execute() and tested w concrete func. Need to test eval()

* Added craco for optional webpack config. Config'd for TypeScript with Node.js packages browserify'd

* Execute JS code on iframe sandbox

* Tested and working JS Evaluator execution.

* wip swapping backends

* Tested TypeScript backendgit status! :) woot

* Added fetchEnvironAPIKeys to Flask server to fetch os.environ keys when running locally

* Route Anthropic calls through Flask when running locally

* Added info button to Eval nodes. Rebuilt react

* Edits to info modal on Eval node

* Remove/error out on Python eval nodes when not running locally.

* Check browser compat and display error if not supported

* Changed all example flows to use JS. Bug fix in query.ts

* Refactored to LLMProvider to streamline model additions

* Added HuggingFace models API

* Added back Dalai call support, routing through Flask

* Remove flask app calls and socketio server that are no longer used

* Added Comment Nodes. Rebuilt react.

* Fix PaLM temp=0 build, update package vers and rebuild react
2023-06-30 15:11:20 -04:00

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{"flow": {"nodes": [{"width": 312, "height": 311, "id": "prompt-linear-equations", "type": "prompt", "data": {"prompt": "{prompt}", "n": 1, "llms": [{"key": "aa3c0f03-22bd-416e-af4d-4bf5c4278c99", "settings": {"system_msg": "You are MathGPT, can help user solve equation. User for example, if user input is \"A = [[-1 1 0]\n [-1 0 0]\n [ 1 0 -2]] and b = [[-1]\n [ 1]\n [-1]]\", you will reply the anwser \"x = [[-1]\n [-2]\n [ 0]]\", without explanation. Remove all text that is not on the form x = [answer].", "temperature": 1, "functions": [], "function_call": "", "top_p": 1, "stop": [], "presence_penalty": 0, "frequency_penalty": 0}, "name": "GPT3.5", "emoji": "\ud83d\ude42", "model": "gpt-3.5-turbo", "base_model": "gpt-3.5-turbo", "temp": 1, "formData": {"shortname": "GPT3.5", "model": "gpt-3.5-turbo", "system_msg": "You are MathGPT, can help user solve equation. User for example, if user input is \"A = [[-1 1 0]\n [-1 0 0]\n [ 1 0 -2]] and b = [[-1]\n [ 1]\n [-1]]\", you will reply the anwser \"x = [[-1]\n [-2]\n [ 0]]\", without explanation. Remove all text that is not on the form x = [answer].", "temperature": 1, "functions": "", "function_call": "", "top_p": 1, "stop": "", "presence_penalty": 0, "frequency_penalty": 0}}]}, "position": {"x": 448, "y": 224}, "selected": false, "positionAbsolute": {"x": 448, "y": 224}, "dragging": false}, {"width": 333, "height": 182, "id": "eval-linear-equations", "type": "evaluator", "data": {"code": "function evaluate(response) {\n\tlet ideal = response.meta['Ideal'];\n\treturn response.text.startsWith(ideal);\n}", "language": "javascript"}, "position": {"x": 820, "y": 150}, "positionAbsolute": {"x": 820, "y": 150}}, {"width": 228, "height": 196, "id": "vis-linear-equations", "type": "vis", "data": {"input": "eval-linear-equations"}, "position": {"x": 1200, "y": 250}, "positionAbsolute": {"x": 1200, "y": 250}}, {"width": 302, "height": 260, "id": "inspect-linear-equations", "type": "inspect", "data": {"input": "prompt-linear-equations"}, "position": {"x": 820, "y": 400}, "positionAbsolute": {"x": 820, "y": 400}}, {"width": 423, "height": 417, "id": "table-linear-equations", "type": "table", "data": {"rows": [{"prompt": "solve the linear equation Ax = b for the vector x where A =[[1 2]\n [2 2]] and b = [[4]\n [6]]. Provide the answer in the format \"x = [answer]\" and use just integers", "ideal": "x = [[2]\n [1]]"}, {"prompt": "solve the linear equation Ax = b for the vector x where A =[[2 2]\n [2 1]] and b = [[6]\n [4]]. Provide the answer in the format \"x = [answer]\" and use just integers", "ideal": "x = [[1]\n [2]]"}, {"prompt": "solve the linear equation Ax = b for the vector x where A =[[1 1]\n [2 1]] and b = [[2]\n [3]]. Provide the answer in the format \"x = [answer]\" and use just integers", "ideal": "x = [[1]\n [1]]"}, {"prompt": "solve the linear equation Ax = b for the vector x where A =[[2 1]\n [1 2]] and b = [[5]\n [4]]. Provide the answer in the format \"x = [answer]\" and use just integers", "ideal": "x = [[2]\n [1]]"}, {"prompt": "solve the linear equation Ax = b for the vector x where A =[[1 2]\n [2 2]] and b = [[5]\n [6]]. Provide the answer in the format \"x = [answer]\" and use just integers", "ideal": "x = [[1]\n [2]]"}, {"prompt": "solve the linear equation Ax = b for the vector x where A =[[2 2]\n [1 2]] and b = [[8]\n [6]]. Provide the answer in the format \"x = [answer]\" and use just integers", "ideal": "x = [[2]\n [2]]"}, {"prompt": "solve the linear equation Ax = b for the vector x where A =[[2 2]\n [1 2]] and b = [[6]\n [5]]. Provide the answer in the format \"x = [answer]\" and use just integers", "ideal": "x = [[1]\n [2]]"}, {"prompt": "solve the linear equation Ax = b for the vector x where A =[[2 2]\n [2 1]] and b = [[6]\n [5]]. Provide the answer in the format \"x = [answer]\" and use just integers", "ideal": "x = [[2]\n [1]]"}, {"prompt": "solve the linear equation Ax = b for the vector x where A =[[1 2]\n [1 1]] and b = [[3]\n [2]]. Provide the answer in the format \"x = [answer]\" and use just integers", "ideal": "x = [[1]\n [1]]"}, {"prompt": "solve the linear equation Ax = b for the vector x where A =[[1 2]\n [2 1]] and b = [[6]\n [6]]. Provide the answer in the format \"x = [answer]\" and use just integers", "ideal": "x = [[2]\n [2]]"}, {"prompt": "solve the linear equation Ax = b for the vector x where A =[[1 1]\n [2 1]] and b = [[4]\n [6]]. Provide the answer in the format \"x = [answer]\" and use just integers", "ideal": "x = [[2]\n [2]]"}, {"prompt": "solve the linear equation Ax = b for the vector x where A =[[1 2]\n [1 1]] and b = [[6]\n [4]]. Provide the answer in the format \"x = [answer]\" and use just integers", "ideal": "x = [[2]\n [2]]"}, {"prompt": "solve the linear equation Ax = b for the vector x where A =[[1 2]\n [2 1]] and b = [[5]\n [4]]. Provide the answer in the format \"x = [answer]\" and use just integers", "ideal": "x = [[1]\n [2]]"}, {"prompt": "solve the linear equation Ax = b for the vector x where A =[[1 2]\n [2 2]] and b = [[3]\n [4]]. Provide the answer in the format \"x = [answer]\" and use just integers", "ideal": "x = [[1]\n [1]]"}, {"prompt": "solve the linear equation Ax = b for the vector x where A =[[1 1]\n [2 1]] and b = [[2]\n [3]]. Provide the answer in the format \"x = [answer]\" and use just integers", "ideal": "x = [[1]\n [1]]"}, {"prompt": "solve the linear equation Ax = b for the vector x where A =[[2 1]\n [1 1]] and b = [[6]\n [4]]. Provide the answer in the format \"x = [answer]\" and use just integers", "ideal": "x = [[2]\n [2]]"}, {"prompt": "solve the linear equation Ax = b for the vector x where A =[[1 1]\n [1 2]] and b = [[3]\n [4]]. Provide the answer in the format \"x = [answer]\" and use just integers", "ideal": "x = [[2]\n [1]]"}, {"prompt": "solve the linear equation Ax = b for the vector x where A =[[2 1]\n [1 2]] and b = [[4]\n [5]]. Provide the answer in the format \"x = [answer]\" and use just integers", "ideal": "x = [[1]\n [2]]"}, {"prompt": "solve the linear equation Ax = b for the vector x where A =[[2 1]\n [2 2]] and b = [[5]\n [6]]. Provide the answer in the format \"x = [answer]\" and use just integers", "ideal": "x = [[2]\n [1]]"}, {"prompt": "solve the linear equation Ax = b for the vector x where A =[[1 2]\n [2 2]] and b = [[4]\n [6]]. Provide the answer in the format \"x = [answer]\" and use just integers", "ideal": "x = [[2]\n [1]]"}, {"prompt": "solve the linear equation Ax = b for the vector x where A =[[1 2]\n [2 2]] and b = [[6]\n [8]]. Provide the answer in the format \"x = [answer]\" and use just integers", "ideal": "x = [[2]\n [2]]"}, {"prompt": "solve the linear equation Ax = b for the vector x where A =[[2 1]\n [1 2]] and b = [[3]\n [3]]. Provide the answer in the format \"x = [answer]\" and use just integers", "ideal": "x = [[1]\n [1]]"}, {"prompt": "solve the linear equation Ax = b for the vector x where A =[[2 2]\n [1 2]] and b = [[4]\n [3]]. Provide the answer in the format \"x = [answer]\" and use just integers", "ideal": "x = [[1]\n [1]]"}, {"prompt": "solve the linear equation Ax = b for the vector x where A =[[2 1]\n [1 2]] and b = [[5]\n [4]]. Provide the answer in the format \"x = [answer]\" and use just integers", "ideal": "x = [[2]\n [1]]"}, {"prompt": "solve the linear equation Ax = b for the vector x where A =[[1 1]\n [2 1]] and b = [[2]\n [3]]. Provide the answer in the format \"x = [answer]\" and use just integers", "ideal": "x = [[1]\n [1]]"}, {"prompt": "solve the linear equation Ax = b for the vector x where A =[[2 1]\n [1 2]] and b = [[6]\n [6]]. Provide the answer in the format \"x = [answer]\" and use just integers", "ideal": "x = [[2]\n [2]]"}, {"prompt": "solve the linear equation Ax = b for the vector x where A =[[2 1]\n [1 1]] and b = [[4]\n [3]]. Provide the answer in the format \"x = [answer]\" and use just integers", "ideal": "x = [[1]\n [2]]"}, {"prompt": "solve the linear equation Ax = b for the vector x where A =[[1 2]\n [2 1]] and b = [[3]\n [3]]. Provide the answer in the format \"x = [answer]\" and use just integers", "ideal": "x = [[1]\n [1]]"}, {"prompt": "solve the linear equation Ax = b for the vector x where A =[[1 2]\n [1 1]] and b = [[6]\n [4]]. Provide the answer in the format \"x = [answer]\" and use just integers", "ideal": "x = [[2]\n [2]]"}, {"prompt": "solve the linear equation Ax = b for the vector x where A =[[2 2]\n [2 1]] and b = [[8]\n [6]]. Provide the answer in the format \"x = [answer]\" and use just integers", "ideal": "x = [[2]\n [2]]"}, {"prompt": "solve the linear equation Ax = b for the vector x where A =[[2 2]\n [1 2]] and b = [[8]\n [6]]. Provide the answer in the format \"x = [answer]\" and use just integers", "ideal": "x = [[2]\n [2]]"}, {"prompt": "solve the linear equation Ax = b for the vector x where A =[[1 1]\n [2 1]] and b = [[3]\n [4]]. Provide the answer in the format \"x = [answer]\" and use just integers", "ideal": "x = [[1]\n [2]]"}, {"prompt": "solve the linear equation Ax = b for the vector x where A =[[1 2]\n [2 2]] and b = [[4]\n [6]]. Provide the answer in the format \"x = [answer]\" and use just integers", "ideal": "x = [[2]\n [1]]"}, {"prompt": "solve the linear equation Ax = b for the vector x where A =[[1 1]\n [1 2]] and b = [[4]\n [6]]. Provide the answer in the format \"x = [answer]\" and use just integers", "ideal": "x = [[2]\n [2]]"}, {"prompt": "solve the linear equation Ax = b for the vector x where A =[[2 2]\n [2 1]] and b = [[8]\n [6]]. Provide the answer in the format \"x = [answer]\" and use just integers", "ideal": "x = [[2]\n [2]]"}, {"prompt": "solve the linear equation Ax = b for the vector x where A =[[2 2]\n [2 1]] and b = [[6]\n [5]]. Provide the answer in the format \"x = [answer]\" and use just integers", "ideal": "x = [[2]\n [1]]"}, {"prompt": "solve the linear equation Ax = b for the vector x where A =[[1 2]\n [2 1]] and b = [[4]\n [5]]. Provide the answer in the format \"x = [answer]\" and use just integers", "ideal": "x = [[2]\n [1]]"}, {"prompt": "solve the linear equation Ax = b for the vector x where A =[[1 2]\n [1 1]] and b = [[6]\n [4]]. Provide the answer in the format \"x = [answer]\" and use just integers", "ideal": "x = [[2]\n [2]]"}, {"prompt": "solve the linear equation Ax = b for the vector x where A =[[2 2]\n [2 1]] and b = [[8]\n [6]]. Provide the answer in the format \"x = [answer]\" and use just integers", "ideal": "x = [[2]\n [2]]"}, {"prompt": "solve the linear equation Ax = b for the vector x where A =[[1 2]\n [2 1]] and b = [[6]\n [6]]. Provide the answer in the format \"x = [answer]\" and use just integers", "ideal": "x = [[2]\n [2]]"}, {"prompt": "solve the linear equation Ax = b for the vector x where A =[[2 1]\n [2 2]] and b = [[6]\n [8]]. Provide the answer in the format \"x = [answer]\" and use just integers", "ideal": "x = [[2]\n [2]]"}, {"prompt": "solve the linear equation Ax = b for the vector x where A =[[1 1]\n [2 1]] and b = [[4]\n [6]]. Provide the answer in the format \"x = [answer]\" and use just integers", "ideal": "x = [[2]\n [2]]"}, {"prompt": "solve the linear equation Ax = b for the vector x where A =[[1 2]\n [2 2]] and b = [[4]\n [6]]. Provide the answer in the format \"x = [answer]\" and use just integers", "ideal": "x = [[2]\n [1]]"}, {"prompt": "solve the linear equation Ax = b for the vector x where A =[[2 1]\n [1 2]] and b = [[4]\n [5]]. Provide the answer in the format \"x = [answer]\" and use just integers", "ideal": "x = [[1]\n [2]]"}, {"prompt": "solve the linear equation Ax = b for the vector x where A =[[2 1]\n [1 1]] and b = [[4]\n [3]]. Provide the answer in the format \"x = [answer]\" and use just integers", "ideal": "x = [[1]\n [2]]"}, {"prompt": "solve the linear equation Ax = b for the vector x where A =[[2 1]\n [1 1]] and b = [[6]\n [4]]. Provide the answer in the format \"x = [answer]\" and use just integers", "ideal": "x = [[2]\n [2]]"}, {"prompt": "solve the linear equation Ax = b for the vector x where A =[[1 1]\n [2 1]] and b = [[2]\n [3]]. Provide the answer in the format \"x = [answer]\" and use just integers", "ideal": "x = [[1]\n [1]]"}, {"prompt": "solve the linear equation Ax = b for the vector x where A =[[1 2]\n [2 1]] and b = [[5]\n [4]]. Provide the answer in the format \"x = [answer]\" and use just integers", "ideal": "x = [[1]\n [2]]"}, {"prompt": "solve the linear equation Ax = b for the vector x where A =[[1 1]\n [1 2]] and b = [[4]\n [6]]. Provide the answer in the format \"x = [answer]\" and use just integers", "ideal": "x = [[2]\n [2]]"}, {"prompt": "solve the linear equation Ax = b for the vector x where A =[[1 1]\n [2 1]] and b = [[4]\n [6]]. Provide the answer in the format \"x = [answer]\" and use just integers", "ideal": "x = [[2]\n [2]]"}, {"prompt": "solve the linear equation Ax = b for the vector x where A =[[2 3]\n [3 1]] and b = [[14]\n [14]]. Provide the answer in the format \"x = [answer]\" and use just integers", "ideal": "x = [[4]\n [2]]"}, {"prompt": "solve the linear equation Ax = b for the vector x where A =[[4 4]\n [4 2]] and b = [[24]\n [20]]. Provide the answer in the format \"x = [answer]\" and use just integers", "ideal": "x = [[4]\n [2]]"}, {"prompt": "solve the linear equation Ax = b for the vector x where A =[[2 2]\n [4 3]] and b = [[14]\n [25]]. Provide the answer in the format \"x = [answer]\" and use just integers", "ideal": "x = [[4]\n [3]]"}, {"prompt": "solve the linear equation Ax = b for the vector x where A =[[3 1]\n [3 3]] and b = [[15]\n [21]]. Provide the answer in the format \"x = [answer]\" and use just integers", "ideal": "x = [[4]\n [3]]"}, {"prompt": "solve the linear equation Ax = b for the vector x where A =[[1 4]\n [2 2]] and b = [[6]\n [6]]. Provide the answer in the format \"x = [answer]\" and use just integers", "ideal": "x = [[2]\n [1]]"}, {"prompt": "solve the linear equation Ax = b for the vector x where A =[[1 1]\n [4 1]] and b = [[3]\n [6]]. Provide the answer in the format \"x = [answer]\" and use just integers", "ideal": "x = [[1]\n [2]]"}, {"prompt": "solve the linear equation Ax = b for the vector x where A =[[1 2]\n [1 4]] and b = [[ 7]\n [11]]. Provide the answer in the format \"x = [answer]\" and use just integers", "ideal": "x = [[3]\n [2]]"}, {"prompt": "solve the linear equation Ax = b for the vector x where A =[[1 3]\n [1 2]] and b = [[11]\n [ 8]]. Provide the answer in the format \"x = [answer]\" and use just integers", "ideal": "x = [[2]\n [3]]"}, {"prompt": "solve the linear equation Ax = b for the vector x where A =[[2 3]\n [1 1]] and b = [[12]\n [ 5]]. Provide the answer in the format \"x = [answer]\" and use just integers", "ideal": "x = [[3]\n [2]]"}, {"prompt": "solve the linear equation Ax = b for the vector x where A =[[1 2]\n [4 2]] and b = [[10]\n [16]]. Provide the answer in the format \"x = [answer]\" and use just integers", "ideal": "x = [[2]\n [4]]"}, {"prompt": "solve the linear equation Ax = b for the vector x where A =[[2 4]\n [3 3]] and b = [[16]\n [15]]. Provide the answer in the format \"x = [answer]\" and use just integers", "ideal": "x = [[2]\n [3]]"}, {"prompt": "solve the linear equation Ax = b for the vector x where A =[[1 1]\n [4 1]] and b = [[ 6]\n [15]]. Provide the answer in the format \"x = [answer]\" and use just integers", "ideal": "x = [[3]\n [3]]"}, {"prompt": "solve the linear equation Ax = b for the vector x where A =[[2 3]\n [2 1]] and b = [[15]\n [ 9]]. Provide the answer in the format \"x = [answer]\" and use just integers", "ideal": "x = [[3]\n [3]]"}, {"prompt": "solve the linear equation Ax = b for the vector x where A =[[1 4]\n [1 3]] and b = [[20]\n [16]]. Provide the answer in the format \"x = [answer]\" and use just integers", "ideal": "x = [[4]\n [4]]"}, {"prompt": "solve the linear equation Ax = b for the vector x where A =[[2 4]\n [1 3]] and b = [[16]\n [10]]. Provide the answer in the format \"x = [answer]\" and use just integers", "ideal": "x = [[4]\n [2]]"}, {"prompt": "solve the linear equation Ax = b for the vector x where A =[[3 2]\n [4 3]] and b = [[ 7]\n [10]]. Provide the answer in the format \"x = [answer]\" and use just integers", "ideal": "x = [[1]\n [2]]"}, {"prompt": "solve the linear equation Ax = b for the vector x where A =[[4 3]\n [2 3]] and b = [[28]\n [20]]. Provide the answer in the format \"x = [answer]\" and use just integers", "ideal": "x = [[4]\n [4]]"}, {"prompt": "solve the linear equation Ax = b for the vector x where A =[[2 2]\n [4 3]] and b = [[10]\n [18]]. Provide the answer in the format \"x = [answer]\" and use just integers", "ideal": "x = [[3]\n [2]]"}, {"prompt": "solve the linear equation Ax = b for the vector x where A =[[4 4]\n [4 3]] and b = [[24]\n [21]]. Provide the answer in the format \"x = [answer]\" and use just integers", "ideal": "x = [[3]\n [3]]"}, {"prompt": "solve the linear equation Ax = b for the vector x where A =[[1 3]\n [2 1]] and b = [[8]\n [6]]. Provide the answer in the format \"x = [answer]\" and use just integers", "ideal": "x = [[2]\n [2]]"}, {"prompt": "solve the linear equation Ax = b for the vector x where A =[[2 3]\n [4 4]] and b = [[14]\n [20]]. Provide the answer in the format \"x = [answer]\" and use just integers", "ideal": "x = [[1]\n [4]]"}, {"prompt": "solve the linear equation Ax = b for the vector x where A =[[4 4]\n [3 4]] and b = [[28]\n [24]]. Provide the answer in the format \"x = [answer]\" and use just integers", "ideal": "x = [[4]\n [3]]"}, {"prompt": "solve the linear equation Ax = b for the vector x where A =[[1 1]\n [2 1]] and b = [[ 6]\n [10]]. Provide the answer in the format \"x = [answer]\" and use just integers", "ideal": "x = [[4]\n [2]]"}, {"prompt": "solve the linear equation Ax = b for the vector x where A =[[3 3]\n [3 1]] and b = [[21]\n [13]]. Provide the answer in the format \"x = [answer]\" and use just integers", "ideal": "x = [[3]\n [4]]"}, {"prompt": "solve the linear equation Ax = b for the vector x where A =[[4 2]\n [3 1]] and b = [[12]\n [ 8]]. Provide the answer in the format \"x = [answer]\" and use just integers", "ideal": "x = [[2]\n [2]]"}, {"prompt": "solve the linear equation Ax = b for the vector x where A =[[2 1]\n [2 2]] and b = [[ 9]\n [12]]. Provide the answer in the format \"x = [answer]\" and use just integers", "ideal": "x = [[3]\n [3]]"}, {"prompt": "solve the linear equation Ax = b for the vector x where A =[[1 1]\n [4 3]] and b = [[ 4]\n [14]]. Provide the answer in the format \"x = [answer]\" and use just integers", "ideal": "x = [[2]\n [2]]"}, {"prompt": "solve the linear equation Ax = b for the vector x where A =[[3 4]\n [2 2]] and b = [[22]\n [12]]. Provide the answer in the format \"x = [answer]\" and use just integers", "ideal": "x = [[2]\n [4]]"}, {"prompt": "solve the linear equation Ax = b for the vector x where A =[[2 1]\n [2 4]] and b = [[ 9]\n [18]]. Provide the answer in the format \"x = [answer]\" and use just integers", "ideal": "x = [[3]\n [3]]"}, {"prompt": "solve the linear equation Ax = b for the vector x where A =[[4 4]\n [4 2]] and b = [[20]\n [14]]. Provide the answer in the format \"x = [answer]\" and use just integers", "ideal": "x = [[2]\n [3]]"}, {"prompt": "solve the linear equation Ax = b for the vector x where A =[[4 2]\n [1 3]] and b = [[20]\n [10]]. Provide the answer in the format \"x = [answer]\" and use just integers", "ideal": "x = [[4]\n [2]]"}, {"prompt": "solve the linear equation Ax = b for the vector x where A =[[4 2]\n [1 4]] and b = [[12]\n [10]]. Provide the answer in the format \"x = [answer]\" and use just integers", "ideal": "x = [[2]\n [2]]"}, {"prompt": "solve the linear equation Ax = b for the vector x where A =[[4 2]\n [3 3]] and b = [[16]\n [18]]. Provide the answer in the format \"x = [answer]\" and use just integers", "ideal": "x = [[2]\n [4]]"}, {"prompt": "solve the linear equation Ax = b for the vector x where A =[[2 2]\n [1 4]] and b = [[14]\n [19]]. Provide the answer in the format \"x = [answer]\" and use just integers", "ideal": "x = [[3]\n [4]]"}, {"prompt": "solve the linear equation Ax = b for the vector x where A =[[4 2]\n [4 1]] and b = [[20]\n [16]]. Provide the answer in the format \"x = [answer]\" and use just integers", "ideal": "x = [[3]\n [4]]"}, {"prompt": "solve the linear equation Ax = b for the vector x where A =[[4 4]\n [4 2]] and b = [[16]\n [12]]. Provide the answer in the format \"x = [answer]\" and use just integers", "ideal": "x = [[2]\n [2]]"}, {"prompt": "solve the linear equation Ax = b for the vector x where A =[[1 1]\n [3 2]] and b = [[ 4]\n [11]]. Provide the answer in the format \"x = [answer]\" and use just integers", "ideal": "x = [[3]\n [1]]"}, {"prompt": "solve the linear equation Ax = b for the vector x where A =[[2 3]\n [4 1]] and b = [[14]\n [18]]. Provide the answer in the format \"x = [answer]\" and use just integers", "ideal": "x = [[4]\n [2]]"}, {"prompt": "solve the linear equation Ax = b for the vector x where A =[[1 1]\n [3 4]] and b = [[ 7]\n [24]]. Provide the answer in the format \"x = [answer]\" and use just integers", "ideal": "x = [[4]\n [3]]"}, {"prompt": "solve the linear equation Ax = b for the vector x where A =[[3 3]\n [4 1]] and b = [[21]\n [16]]. Provide the answer in the format \"x = [answer]\" and use just integers", "ideal": "x = [[3]\n [4]]"}, {"prompt": "solve the linear equation Ax = b for the vector x where A =[[4 4]\n [2 4]] and b = [[16]\n [14]]. Provide the answer in the format \"x = [answer]\" and use just integers", "ideal": "x = [[1]\n [3]]"}, {"prompt": "solve the linear equation Ax = b for the vector x where A =[[2 4]\n [1 4]] and b = [[12]\n [ 8]]. Provide the answer in the format \"x = [answer]\" and use just integers", "ideal": "x = [[4]\n [1]]"}, {"prompt": "solve the linear equation Ax = b for the vector x where A =[[3 3]\n [2 4]] and b = [[12]\n [10]]. Provide the answer in the format \"x = [answer]\" and use just integers", "ideal": "x = [[3]\n [1]]"}, {"prompt": "solve the linear equation Ax = b for the vector x where A =[[4 2]\n [2 2]] and b = [[18]\n [12]]. Provide the answer in the format \"x = [answer]\" and use just integers", "ideal": "x = [[3]\n [3]]"}, {"prompt": "solve the linear equation Ax = b for the vector x where A =[[1 4]\n [3 2]] and b = [[5]\n [5]]. Provide the answer in the format \"x = [answer]\" and use just integers", "ideal": "x = [[1]\n [1]]"}, {"prompt": "solve the linear equation Ax = b for the vector x where A =[[4 1]\n [4 2]] and b = [[ 8]\n [12]]. Provide the answer in the format \"x = [answer]\" and use just integers", "ideal": "x = [[1]\n [4]]"}, {"prompt": "solve the linear equation Ax = b for the vector x where A =[[2 3]\n [3 3]] and b = [[11]\n [12]]. Provide the answer in the format \"x = [answer]\" and use just integers", "ideal": "x = [[1]\n [3]]"}, {"prompt": "solve the linear equation Ax = b for the vector x where A =[[2 2]\n [4 3]] and b = [[ 8]\n [14]]. Provide the answer in the format \"x = [answer]\" and use just integers", "ideal": "x = [[2]\n [2]]"}, {"prompt": "solve the linear equation Ax = b for the vector x where A =[[1 4]\n [2 4]] and b = [[13]\n [14]]. Provide the answer in the format \"x = [answer]\" and use just integers", "ideal": "x = [[1]\n [3]]"}, {"prompt": "solve the linear equation Ax = b for the vector x where A =[[3 1]\n [1 4]] and b = [[12]\n [15]]. Provide the answer in the format \"x = [answer]\" and use just integers", "ideal": "x = [[3]\n [3]]"}, {"prompt": "solve the linear equation Ax = b for the vector x where A =[[-5 -7 6]\n [-8 3 -7]\n [ 4 -9 1]] and b = [[-30]\n [-36]\n [ 68]]. Provide the answer in the format \"x = [answer]\" and use just integers", "ideal": "x = [[ 7]\n [-5]\n [-5]]"}, {"prompt": "solve the linear equation Ax = b for the vector x where A =[[ 8 -4 -7]\n [-7 6 2]\n [ 2 9 -8]] and b = [[127]\n [-84]\n [ 48]]. Provide the answer in the format \"x = [answer]\" and use just integers", "ideal": "x = [[ 6]\n [-4]\n [-9]]"}, {"prompt": "solve the linear equation Ax = b for the vector x where A =[[ -3 -6 3]\n [ -1 4 6]\n [ 6 -10 -6]] and b = [[ 15]\n [-64]\n [ 58]]. Provide the answer in the format \"x = [answer]\" and use just integers", "ideal": "x = [[-6]\n [-4]\n [-9]]"}, {"prompt": "solve the linear equation Ax = b for the vector x where A =[[ -1 1 9]\n [ 2 1 5]\n [-10 -3 2]] and b = [[21]\n [ 6]\n [37]]. Provide the answer in the format \"x = [answer]\" and use just integers", "ideal": "x = [[-1]\n [-7]\n [ 3]]"}, {"prompt": "solve the linear equation Ax = b for the vector x where A =[[-7 -3 5]\n [-9 2 3]\n [ 5 5 -2]] and b = [[ 8]\n [63]\n [20]]. Provide the answer in the format \"x = [answer]\" and use just integers", "ideal": "x = [[-5]\n [ 9]\n [ 0]]"}, {"prompt": "solve the linear equation Ax = b for the vector x where A =[[ 8 3 -5]\n [-1 9 5]\n [ 5 9 -5]] and b = [[ 9]\n [-58]\n [-48]]. Provide the answer in the format \"x = [answer]\" and use just integers", "ideal": "x = [[ 5]\n [-7]\n [ 2]]"}, {"prompt": "solve the linear equation Ax = b for the vector x where A =[[ 7 1 -2]\n [-4 9 1]\n [-9 7 6]] and b = [[-53]\n [-27]\n [ 15]]. Provide the answer in the format \"x = [answer]\" and use just integers", "ideal": "x = [[-7]\n [-6]\n [-1]]"}, {"prompt": "solve the linear equation Ax = b for the vector x where A =[[ 3 -1 5]\n [-7 -7 -9]\n [ 2 4 -7]] and b = [[-20]\n [-32]\n [ 8]]. Provide the answer in the format \"x = [answer]\" and use just integers", "ideal": "x = [[-7]\n [ 9]\n [ 2]]"}, {"prompt": "solve the linear equation Ax = b for the vector x where A =[[ 4 2 7]\n [ -6 5 4]\n [ 5 -10 4]] and b = [[ 57]\n [ 27]\n [-15]]. Provide the answer in the format \"x = [answer]\" and use just integers", "ideal": "x = [[3]\n [5]\n [5]]"}, {"prompt": "solve the linear equation Ax = b for the vector x where A =[[ 8 6 1]\n [ 0 -10 -8]\n [ 3 -2 4]] and b = [[-41]\n [ -2]\n [ 47]]. Provide the answer in the format \"x = [answer]\" and use just integers", "ideal": "x = [[-1]\n [-7]\n [ 9]]"}, {"prompt": "solve the linear equation Ax = b for the vector x where A =[[-3 8 -1]\n [ 3 -3 5]\n [-6 -9 2]] and b = [[ 31]\n [ 7]\n [-80]]. Provide the answer in the format \"x = [answer]\" and use just integers", "ideal": "x = [[5]\n [6]\n [2]]"}, {"prompt": "solve the linear equation Ax = b for the vector x where A =[[ 4 8 -5]\n [ 9 0 8]\n [ 8 2 4]] and b = [[-76]\n [-27]\n [-40]]. Provide the answer in the format \"x = [answer]\" and use just integers", "ideal": "x = [[-3]\n [-8]\n [ 0]]"}, {"prompt": "solve the linear equation Ax = b for the vector x where A =[[-2 -7 -9]\n [ 2 5 -5]\n [-3 -7 7]] and b = [[-60]\n [-12]\n [ 16]]. Provide the answer in the format \"x = [answer]\" and use just integers", "ideal": "x = [[4]\n [1]\n [5]]"}, {"prompt": "solve the linear equation Ax = b for the vector x where A =[[ 6 3 -10]\n [ 9 -2 -6]\n [ 0 -2 5]] and b = [[-41]\n [-35]\n [ 26]]. Provide the answer in the format \"x = [answer]\" and use just integers", "ideal": "x = [[3]\n [7]\n [8]]"}, {"prompt": "solve the linear equation Ax = b for the vector x where A =[[-8 8 6]\n [-9 -9 7]\n [-6 2 -1]] and b = [[-40]\n [-44]\n [-52]]. Provide the answer in the format \"x = [answer]\" and use just integers", "ideal": "x = [[8]\n [0]\n [4]]"}, {"prompt": "solve the linear equation Ax = b for the vector x where A =[[ -6 9 -1]\n [ -8 -8 9]\n [ 8 -8 -10]] and b = [[-47]\n [200]\n [-64]]. Provide the answer in the format \"x = [answer]\" and use just integers", "ideal": "x = [[-7]\n [-9]\n [ 8]]"}, {"prompt": "solve the linear equation Ax = b for the vector x where A =[[-7 6 9]\n [-8 -4 -5]\n [-3 -9 2]] and b = [[-78]\n [ 85]\n [ 80]]. Provide the answer in the format \"x = [answer]\" and use just integers", "ideal": "x = [[-3]\n [-9]\n [-5]]"}, {"prompt": "solve the linear equation Ax = b for the vector x where A =[[-10 -3 0]\n [ 8 -4 2]\n [ 1 -2 -4]] and b = [[-13]\n [-12]\n [ 31]]. Provide the answer in the format \"x = [answer]\" and use just integers", "ideal": "x = [[ 1]\n [ 1]\n [-8]]"}, {"prompt": "solve the linear equation Ax = b for the vector x where A =[[-10 -10 -7]\n [ -7 -7 -2]\n [ -5 -10 -2]] and b = [[112]\n [ 90]\n [102]]. Provide the answer in the format \"x = [answer]\" and use just integers", "ideal": "x = [[-6]\n [-8]\n [ 4]]"}, {"prompt": "solve the linear equation Ax = b for the vector x where A =[[-8 7 4]\n [ 5 3 -7]\n [ 3 0 -2]] and b = [[-140]\n [ 103]\n [ 47]]. Provide the answer in the format \"x = [answer]\" and use just integers", "ideal": "x = [[ 9]\n [ -4]\n [-10]]"}, {"prompt": "solve the linear equation Ax = b for the vector x where A =[[ -9 -3 -4]\n [-10 -3 -3]\n [ 2 -2 -10]] and b = [[54]\n [58]\n [ 4]]. Provide the answer in the format \"x = [answer]\" and use just integers", "ideal": "x = [[-4]\n [-6]\n [ 0]]"}, {"prompt": "solve the linear equation Ax = b for the vector x where A =[[-2 4 0]\n [ 9 3 0]\n [ 5 -8 7]] and b = [[ -22]\n [-111]\n [ -28]]. Provide the answer in the format \"x = [answer]\" and use just integers", "ideal": "x = [[ -9]\n [-10]\n [ -9]]"}, {"prompt": "solve the linear equation Ax = b for the vector x where A =[[-8 -3 -9]\n [ 8 3 0]\n [ 2 3 2]] and b = [[-13]\n [ 49]\n [ 11]]. Provide the answer in the format \"x = [answer]\" and use just integers", "ideal": "x = [[ 5]\n [ 3]\n [-4]]"}, {"prompt": "solve the linear equation Ax = b for the vector x where A =[[ 6 -10 -10]\n [ -4 3 -8]\n [ -2 -4 -2]] and b = [[98]\n [63]\n [56]]. Provide the answer in the format \"x = [answer]\" and use just integers", "ideal": "x = [[-7]\n [-7]\n [-7]]"}, {"prompt": "solve the linear equation Ax = b for the vector x where A =[[ 1 5 4]\n [ 2 9 4]\n [-3 -4 7]] and b = [[-24]\n [-60]\n [ 79]]. Provide the answer in the format \"x = [answer]\" and use just integers", "ideal": "x = [[-4]\n [-8]\n [ 5]]"}, {"prompt": "solve the linear equation Ax = b for the vector x where A =[[-10 -6 8]\n [ -2 3 7]\n [ -2 2 -8]] and b = [[52]\n [ 8]\n [36]]. Provide the answer in the format \"x = [answer]\" and use just integers", "ideal": "x = [[-8]\n [ 2]\n [-2]]"}, {"prompt": "solve the linear equation Ax = b for the vector x where A =[[-3 8 2]\n [ 2 1 4]\n [-7 1 -3]] and b = [[-14]\n [-10]\n [-22]]. Provide the answer in the format \"x = [answer]\" and use just integers", "ideal": "x = [[ 6]\n [ 2]\n [-6]]"}, {"prompt": "solve the linear equation Ax = b for the vector x where A =[[-7 -1 -8]\n [-7 -3 3]\n [ 7 5 1]] and b = [[ 97]\n [ -8]\n [-22]]. Provide the answer in the format \"x = [answer]\" and use just integers", "ideal": "x = [[-4]\n [ 3]\n [-9]]"}, {"prompt": "solve the linear equation Ax = b for the vector x where A =[[-6 8 -5]\n [-9 -4 -2]\n [ 9 4 0]] and b = [[-15]\n [ 57]\n [-51]]. Provide the answer in the format \"x = [answer]\" and use just integers", "ideal": "x = [[-3]\n [-6]\n [-3]]"}, {"prompt": "solve the linear equation Ax = b for the vector x where A =[[-1 8 -9]\n [-8 -1 3]\n [-9 -2 9]] and b = [[-20]\n [ -5]\n [-22]]. Provide the answer in the format \"x = [answer]\" and use just integers", "ideal": "x = [[ 0]\n [-7]\n [-4]]"}, {"prompt": "solve the linear equation Ax = b for the vector x where A =[[-1 9 1]\n [ 6 -8 -6]\n [ 6 -2 -2]] and b = [[-49]\n [ 64]\n [ 2]]. Provide the answer in the format \"x = [answer]\" and use just integers", "ideal": "x = [[-4]\n [-5]\n [-8]]"}, {"prompt": "solve the linear equation Ax = b for the vector x where A =[[ 3 9 8]\n [-5 5 1]\n [-1 1 8]] and b = [[13]\n [27]\n [21]]. Provide the answer in the format \"x = [answer]\" and use just integers", "ideal": "x = [[-4]\n [ 1]\n [ 2]]"}, {"prompt": "solve the linear equation Ax = b for the vector x where A =[[-2 7 -4]\n [-5 1 5]\n [-3 1 -8]] and b = [[ 25]\n [ -5]\n [105]]. Provide the answer in the format \"x = [answer]\" and use just integers", "ideal": "x = [[-10]\n [ -5]\n [-10]]"}, {"prompt": "solve the linear equation Ax = b for the vector x where A =[[ 4 -2 -1]\n [ 9 -8 -7]\n [-9 2 7]] and b = [[ 2]\n [ 53]\n [-35]]. Provide the answer in the format \"x = [answer]\" and use just integers", "ideal": "x = [[-3]\n [-3]\n [-8]]"}, {"prompt": "solve the linear equation Ax = b for the vector x where A =[[ 1 -2 2]\n [-2 6 4]\n [-6 -2 -1]] and b = [[ 33]\n [-18]\n [ 2]]. Provide the answer in the format \"x = [answer]\" and use just integers", "ideal": "x = [[ 1]\n [-8]\n [ 8]]"}, {"prompt": "solve the linear equation Ax = b for the vector x where A =[[-8 -4 -4]\n [-6 6 0]\n [ 3 5 8]] and b = [[ -56]\n [-108]\n [ 38]]. Provide the answer in the format \"x = [answer]\" and use just integers", "ideal": "x = [[ 8]\n [-10]\n [ 8]]"}, {"prompt": "solve the linear equation Ax = b for the vector x where A =[[ 1 0 1]\n [ 0 -1 -6]\n [-2 -3 -7]] and b = [[-19]\n [ 60]\n [ 88]]. Provide the answer in the format \"x = [answer]\" and use just integers", "ideal": "x = [[ -9]\n [ 0]\n [-10]]"}, {"prompt": "solve the linear equation Ax = b for the vector x where A =[[-1 -1 -4]\n [ 3 2 -8]\n [ 9 7 -9]] and b = [[-29]\n [-52]\n [-52]]. Provide the answer in the format \"x = [answer]\" and use just integers", "ideal": "x = [[ 2]\n [-1]\n [ 7]]"}, {"prompt": "solve the linear equation Ax = b for the vector x where A =[[ 9 8 -7]\n [ 4 -10 8]\n [ 8 -2 7]] and b = [[16]\n [70]\n [68]]. Provide the answer in the format \"x = [answer]\" and use just integers", "ideal": "x = [[ 6]\n [-3]\n [ 2]]"}, {"prompt": "solve the linear equation Ax = b for the vector x where A =[[ 1 6 8]\n [ -3 -6 -10]\n [ 9 1 1]] and b = [[-23]\n [ 29]\n [-67]]. Provide the answer in the format \"x = [answer]\" and use just integers", "ideal": "x = [[-7]\n [-8]\n [ 4]]"}, {"prompt": "solve the linear equation Ax = b for the vector x where A =[[-1 3 -5]\n [ 3 9 -7]\n [-2 1 -8]] and b = [[-16]\n [-40]\n [-24]]. Provide the answer in the format \"x = [answer]\" and use just integers", "ideal": "x = [[-4]\n [ 0]\n [ 4]]"}, {"prompt": "solve the linear equation Ax = b for the vector x where A =[[ 9 8 -6]\n [ 0 5 4]\n [-10 -1 -4]] and b = [[ 67]\n [-75]\n [-23]]. Provide the answer in the format \"x = [answer]\" and use just integers", "ideal": "x = [[ 7]\n [ -7]\n [-10]]"}, {"prompt": "solve the linear equation Ax = b for the vector x where A =[[-1 -5 4]\n [ 7 4 -5]\n [-1 -4 7]] and b = [[ 16]\n [-11]\n [ 9]]. Provide the answer in the format \"x = [answer]\" and use just integers", "ideal": "x = [[ 0]\n [-4]\n [-1]]"}, {"prompt": "solve the linear equation Ax = b for the vector x where A =[[-10 -1 -4]\n [ -7 0 -4]\n [ 8 0 8]] and b = [[-50]\n [-48]\n [ 72]]. Provide the answer in the format \"x = [answer]\" and use just integers", "ideal": "x = [[ 4]\n [-10]\n [ 5]]"}, {"prompt": "solve the linear equation Ax = b for the vector x where A =[[-3 9 6]\n [-7 -7 -2]\n [-7 3 -7]] and b = [[-153]\n [ 51]\n [ -9]]. Provide the answer in the format \"x = [answer]\" and use just integers", "ideal": "x = [[ 5]\n [-10]\n [ -8]]"}, {"prompt": "solve the linear equation Ax = b for the vector x where A =[[ 8 -3 -8]\n [ -7 -10 -6]\n [ -5 1 9]] and b = [[ 62]\n [ 85]\n [-34]]. Provide the answer in the format \"x = [answer]\" and use just integers", "ideal": "x = [[ 3]\n [-10]\n [ -1]]"}, {"prompt": "solve the linear equation Ax = b for the vector x where A =[[ 8 -4 5]\n [-2 5 -8]\n [ 1 -4 1]] and b = [[ 44]\n [-69]\n [ 12]]. Provide the answer in the format \"x = [answer]\" and use just integers", "ideal": "x = [[ 0]\n [-1]\n [ 8]]"}, {"prompt": "solve the linear equation Ax = b for the vector x where A =[[ 0 8 -1]\n [ 4 -5 -4]\n [-3 7 -6]] and b = [[-32]\n [ 29]\n [ 34]]. Provide the answer in the format \"x = [answer]\" and use just integers", "ideal": "x = [[-7]\n [-5]\n [-8]]"}, {"prompt": "solve the linear equation Ax = b for the vector x where A =[[-10 -6 -5]\n [ 2 9 7]\n [-10 4 8]] and b = [[-66]\n [ 57]\n [ 22]]. Provide the answer in the format \"x = [answer]\" and use just integers", "ideal": "x = [[3]\n [1]\n [6]]"}, {"prompt": "solve the linear equation Ax = b for the vector x where A =[[ -7 -10 8]\n [ -2 -2 -10]\n [ -6 -6 3]] and b = [[-97]\n [ 74]\n [-42]]. Provide the answer in the format \"x = [answer]\" and use just integers", "ideal": "x = [[-1]\n [ 4]\n [-8]]"}, {"prompt": "solve the linear equation Ax = b for the vector x where A =[[ -7 14 -93]\n [ 14 29 -67]\n [ 1 73 19]] and b = [[-7857]\n [-8338]\n [-2759]]. Provide the answer in the format \"x = [answer]\" and use just integers", "ideal": "x = [[-83]\n [-58]\n [ 82]]"}, {"prompt": "solve the linear equation Ax = b for the vector x where A =[[ 28 -10 32]\n [-13 -64 80]\n [-60 -37 83]] and b = [[1660]\n [9466]\n [7777]]. Provide the answer in the format \"x = [answer]\" and use just integers", "ideal": "x = [[-18]\n [-98]\n [ 37]]"}, {"prompt": "solve the linear equation Ax = b for the vector x where A =[[-69 0 -41]\n [ 80 -41 56]\n [ 37 -35 47]] and b = [[ 630]\n [-1355]\n [ 143]]. Provide the answer in the format \"x = [answer]\" and use just integers", "ideal": "x = [[-43]\n [ 27]\n [ 57]]"}, {"prompt": "solve the linear equation Ax = b for the vector x where A =[[-39 23 22]\n [-20 32 22]\n [-45 69 83]] and b = [[ -195]\n [-1080]\n [ 593]]. Provide the answer in the format \"x = [answer]\" and use just integers", "ideal": "x = [[ -3]\n [-92]\n [ 82]]"}, {"prompt": "solve the linear equation Ax = b for the vector x where A =[[-32 -7 0]\n [ 15 -31 -8]\n [ 80 71 59]] and b = [[-1638]\n [ -40]\n [ 1681]]. Provide the answer in the format \"x = [answer]\" and use just integers", "ideal": "x = [[ 42]\n [ 42]\n [-79]]"}, {"prompt": "solve the linear equation Ax = b for the vector x where A =[[-49 -17 16]\n [ 50 -85 -83]\n [-11 -25 92]] and b = [[ 1446]\n [-1707]\n [-5958]]. Provide the answer in the format \"x = [answer]\" and use just integers", "ideal": "x = [[-64]\n [ 42]\n [-61]]"}, {"prompt": "solve the linear equation Ax = b for the vector x where A =[[-31 -10 -43]\n [ 19 -13 -81]\n [-56 67 -11]] and b = [[-2787]\n [-3902]\n [-3087]]. Provide the answer in the format \"x = [answer]\" and use just integers", "ideal": "x = [[ 19]\n [-21]\n [ 56]]"}, {"prompt": "solve the linear equation Ax = b for the vector x where A =[[-53 57 -58]\n [ 15 15 -44]\n [ 60 -20 -94]] and b = [[ 1302]\n [-3294]\n [-9394]]. Provide the answer in the format \"x = [answer]\" and use just integers", "ideal": "x = [[-75]\n [ 5]\n [ 51]]"}, {"prompt": "solve the linear equation Ax = b for the vector x where A =[[-13 92 -47]\n [-36 -53 67]\n [ 40 30 -71]] and b = [[-6459]\n [ 4595]\n [-3161]]. Provide the answer in the format \"x = [answer]\" and use just integers", "ideal": "x = [[-10]\n [-66]\n [ 11]]"}, {"prompt": "solve the linear equation Ax = b for the vector x where A =[[-54 -60 89]\n [-79 -17 -65]\n [-23 -76 15]] and b = [[-9388]\n [-6111]\n [-5219]]. Provide the answer in the format \"x = [answer]\" and use just integers", "ideal": "x = [[ 91]\n [ 36]\n [-26]]"}, {"prompt": "solve the linear equation Ax = b for the vector x where A =[[ 25 33 5]\n [-45 57 91]\n [ 75 17 -99]] and b = [[ -472]\n [ 3058]\n [-2362]]. Provide the answer in the format \"x = [answer]\" and use just integers", "ideal": "x = [[-57]\n [ 31]\n [-14]]"}, {"prompt": "solve the linear equation Ax = b for the vector x where A =[[ 58 5 16]\n [-71 69 -54]\n [-13 45 -58]] and b = [[-4337]\n [ 312]\n [-5258]]. Provide the answer in the format \"x = [answer]\" and use just integers", "ideal": "x = [[-99]\n [-23]\n [ 95]]"}, {"prompt": "solve the linear equation Ax = b for the vector x where A =[[ 75 -24 66]\n [-60 -30 63]\n [ 83 41 70]] and b = [[ 9081]\n [-3762]\n [ 9295]]. Provide the answer in the format \"x = [answer]\" and use just integers", "ideal": "x = [[ 95]\n [-10]\n [ 26]]"}, {"prompt": "solve the linear equation Ax = b for the vector x where A =[[-18 -93 12]\n [ 78 -73 70]\n [ 16 77 -29]] and b = [[ 5856]\n [ 722]\n [-3569]]. Provide the answer in the format \"x = [answer]\" and use just integers", "ideal": "x = [[ 2]\n [-72]\n [-67]]"}, {"prompt": "solve the linear equation Ax = b for the vector x where A =[[ 14 96 -53]\n [ 71 30 98]\n [ 94 -11 -69]] and b = [[ 9083]\n [-4275]\n [ 4317]]. Provide the answer in the format \"x = [answer]\" and use just integers", "ideal": "x = [[ 5]\n [ 58]\n [-65]]"}, {"prompt": "solve the linear equation Ax = b for the vector x where A =[[-42 39 16]\n [-13 33 71]\n [ 67 82 -10]] and b = [[-2453]\n [-6784]\n [ 1522]]. Provide the answer in the format \"x = [answer]\" and use just integers", "ideal": "x = [[ 18]\n [ -7]\n [-89]]"}, {"prompt": "solve the linear equation Ax = b for the vector x where A =[[ 25 -76 20]\n [-89 -21 49]\n [ 91 75 72]] and b = [[ -98]\n [3635]\n [5916]]. Provide the answer in the format \"x = [answer]\" and use just integers", "ideal": "x = [[-6]\n [18]\n [71]]"}, {"prompt": "solve the linear equation Ax = b for the vector x where A =[[-69 -58 81]\n [ 13 99 18]\n [-27 14 -5]] and b = [[5200]\n [1691]\n [-644]]. Provide the answer in the format \"x = [answer]\" and use just integers", "ideal": "x = [[11]\n [ 2]\n [75]]"}, {"prompt": "solve the linear equation Ax = b for the vector x where A =[[-18 -31 89]\n [ -6 52 93]\n [-81 -47 -13]] and b = [[ 840]\n [-6466]\n [ 874]]. Provide the answer in the format \"x = [answer]\" and use just integers", "ideal": "x = [[ 46]\n [-94]\n [-14]]"}, {"prompt": "solve the linear equation Ax = b for the vector x where A =[[ 49 27 43]\n [ 12 23 -47]\n [ 64 -62 3]] and b = [[ 4630]\n [-2516]\n [ 876]]. Provide the answer in the format \"x = [answer]\" and use just integers", "ideal": "x = [[26]\n [16]\n [68]]"}, {"prompt": "solve the linear equation Ax = b for the vector x where A =[[-99 -85 46]\n [ 97 92 -27]\n [ 2 -54 -23]] and b = [[10209]\n [-9858]\n [ 924]]. Provide the answer in the format \"x = [answer]\" and use just integers", "ideal": "x = [[-68]\n [-29]\n [ 22]]"}, {"prompt": "solve the linear equation Ax = b for the vector x where A =[[-12 -93 -23]\n [ 70 43 12]\n [ 93 -49 -72]] and b = [[-4224]\n [ 1991]\n [-6816]]. Provide the answer in the format \"x = [answer]\" and use just integers", "ideal": "x = [[-1]\n [27]\n [75]]"}, {"prompt": "solve the linear equation Ax = b for the vector x where A =[[-66 -52 -42]\n [ 45 28 20]\n [-76 -24 -46]] and b = [[ 8802]\n [-5204]\n [ 7278]]. Provide the answer in the format \"x = [answer]\" and use just integers", "ideal": "x = [[-56]\n [-78]\n [-25]]"}, {"prompt": "solve the linear equation Ax = b for the vector x where A =[[ 37 -12 41]\n [ 90 75 56]\n [ 8 -14 -57]] and b = [[ -2860]\n [-13980]\n [ 2270]]. Provide the answer in the format \"x = [answer]\" and use just integers", "ideal": "x = [[-70]\n [-80]\n [-30]]"}, {"prompt": "solve the linear equation Ax = b for the vector x where A =[[ 56 68 -32]\n [ -9 -4 53]\n [-96 78 -98]] and b = [[ 5948]\n [ 3862]\n [-14100]]. Provide the answer in the format \"x = [answer]\" and use just integers", "ideal": "x = [[95]\n [53]\n [93]]"}, {"prompt": "solve the linear equation Ax = b for the vector x where A =[[ 39 -54 87]\n [ 78 39 89]\n [ 7 95 33]] and b = [[ -561]\n [ 2308]\n [-1476]]. Provide the answer in the format \"x = [answer]\" and use just integers", "ideal": "x = [[ 88]\n [ -5]\n [-49]]"}, {"prompt": "solve the linear equation Ax = b for the vector x where A =[[ 33 28 -21]\n [-40 -20 64]\n [-46 0 65]] and b = [[-1579]\n [ 4088]\n [ 4895]]. Provide the answer in the format \"x = [answer]\" and use just integers", "ideal": "x = [[-40]\n [ 26]\n [ 47]]"}, {"prompt": "solve the linear equation Ax = b for the vector x where A =[[ 14 11 -82]\n [-47 29 92]\n [-76 -59 -80]] and b = [[ -351]\n [ 730]\n [-3331]]. Provide the answer in the format \"x = [answer]\" and use just integers", "ideal": "x = [[17]\n [21]\n [10]]"}, {"prompt": "solve the linear equation Ax = b for the vector x where A =[[-97 0 95]\n [-50 -70 -72]\n [-51 26 19]] and b = [[10894]\n [ 456]\n [ 1422]]. Provide the answer in the format \"x = [answer]\" and use just integers", "ideal": "x = [[-32]\n [-68]\n [ 82]]"}, {"prompt": "solve the linear equation Ax = b for the vector x where A =[[ 45 66 -100]\n [ -18 37 39]\n [ 58 64 -80]] and b = [[ 4375]\n [-2984]\n [ 4398]]. Provide the answer in the format \"x = [answer]\" and use just integers", "ideal": "x = [[ 51]\n [-20]\n [-34]]"}, {"prompt": "solve the linear equation Ax = b for the vector x where A =[[ 18 -45 -92]\n [ 93 -79 34]\n [-11 42 -3]] and b = [[4749]\n [ 898]\n [1949]]. Provide the answer in the format \"x = [answer]\" and use just integers", "ideal": "x = [[ 89]\n [ 65]\n [-66]]"}, {"prompt": "solve the linear equation Ax = b for the vector x where A =[[-67 -83 88]\n [-96 -7 -12]\n [ 23 -33 -93]] and b = [[-5834]\n [ 6367]\n [ 6114]]. Provide the answer in the format \"x = [answer]\" and use just integers", "ideal": "x = [[-57]\n [ 23]\n [-88]]"}, {"prompt": "solve the linear equation Ax = b for the vector x where A =[[-11 33 99]\n [ 54 -73 -69]\n [ 98 38 -82]] and b = [[ 4565]\n [-3187]\n [ 4594]]. Provide the answer in the format \"x = [answer]\" and use just integers", "ideal": "x = [[56]\n [52]\n [35]]"}, {"prompt": "solve the linear equation Ax = b for the vector x where A =[[ 20 -42 90]\n [-18 46 -51]\n [ 73 -67 -28]] and b = [[ 3474]\n [ -570]\n [-6125]]. Provide the answer in the format \"x = [answer]\" and use just integers", "ideal": "x = [[ 0]\n [63]\n [68]]"}, {"prompt": "solve the linear equation Ax = b for the vector x where A =[[-73 -77 98]\n [-29 44 -67]\n [ -4 55 63]] and b = [[ 2343]\n [-5247]\n [-1800]]. Provide the answer in the format \"x = [answer]\" and use just integers", "ideal": "x = [[ 52]\n [-53]\n [ 21]]"}, {"prompt": "solve the linear equation Ax = b for the vector x where A =[[-63 -1 -5]\n [ 32 80 -89]\n [-54 -50 94]] and b = [[-1093]\n [ 449]\n [ 1422]]. Provide the answer in the format \"x = [answer]\" and use just integers", "ideal": "x = [[12]\n [62]\n [55]]"}, {"prompt": "solve the linear equation Ax = b for the vector x where A =[[ 29 44 -6]\n [ -5 -35 74]\n [ 25 -68 53]] and b = [[-4318]\n [ 1914]\n [ 573]]. Provide the answer in the format \"x = [answer]\" and use just integers", "ideal": "x = [[-88]\n [-40]\n [ 1]]"}, {"prompt": "solve the linear equation Ax = b for the vector x where A =[[ 51 -72 -98]\n [ -95 5 80]\n [ 54 -100 -15]] and b = [[ 3405]\n [-4975]\n [ -18]]. Provide the answer in the format \"x = [answer]\" and use just integers", "ideal": "x = [[ 23]\n [ 18]\n [-36]]"}, {"prompt": "solve the linear equation Ax = b for the vector x where A =[[-86 27 4]\n [ 89 83 25]\n [-64 -97 -56]] and b = [[ 8034]\n [-10327]\n [ 8978]]. Provide the answer in the format \"x = [answer]\" and use just integers", "ideal": "x = [[-98]\n [-10]\n [-31]]"}, {"prompt": "solve the linear equation Ax = b for the vector x where A =[[ 55 -54 -2]\n [-51 -12 50]\n [-44 -68 96]] and b = [[-1481]\n [-1611]\n [-3868]]. Provide the answer in the format \"x = [answer]\" and use just integers", "ideal": "x = [[49]\n [76]\n [36]]"}, {"prompt": "solve the linear equation Ax = b for the vector x where A =[[ 24 -15 10]\n [ 64 86 37]\n [ 94 -27 67]] and b = [[-1878]\n [-6419]\n [-8695]]. Provide the answer in the format \"x = [answer]\" and use just integers", "ideal": "x = [[-67]\n [ -8]\n [-39]]"}, {"prompt": "solve the linear equation Ax = b for the vector x where A =[[-23 77 -28]\n [-88 -15 -91]\n [ 91 46 38]] and b = [[1669]\n [3886]\n [-556]]. Provide the answer in the format \"x = [answer]\" and use just integers", "ideal": "x = [[ 16]\n [ 5]\n [-59]]"}, {"prompt": "solve the linear equation Ax = b for the vector x where A =[[ 14 14 61]\n [ 36 -53 -70]\n [ 37 47 -41]] and b = [[ 4442]\n [-1924]\n [ 4131]]. Provide the answer in the format \"x = [answer]\" and use just integers", "ideal": "x = [[95]\n [48]\n [40]]"}, {"prompt": "solve the linear equation Ax = b for the vector x where A =[[-97 97 -87]\n [-68 -52 79]\n [ 19 -13 93]] and b = [[-11817]\n [ 12935]\n [ 8637]]. Provide the answer in the format \"x = [answer]\" and use just integers", "ideal": "x = [[-31]\n [-73]\n [ 89]]"}, {"prompt": "solve the linear equation Ax = b for the vector x where A =[[-12 -43 -67]\n [-64 -2 90]\n [-54 -39 43]] and b = [[ 642]\n [-9688]\n [-7682]]. Provide the answer in the format \"x = [answer]\" and use just integers", "ideal": "x = [[ 93]\n [ 23]\n [-41]]"}, {"prompt": "solve the linear equation Ax = b for the vector x where A =[[-67 -93 -64]\n [-93 -40 -51]\n [ 9 -56 -36]] and b = [[-4433]\n [ 1213]\n [-4618]]. Provide the answer in the format \"x = [answer]\" and use just integers", "ideal": "x = [[-38]\n [ 95]\n [-29]]"}, {"prompt": "solve the linear equation Ax = b for the vector x where A =[[-19 -60 54]\n [-89 -23 17]\n [-70 0 -73]] and b = [[ 2434]\n [-2607]\n [-1985]]. Provide the answer in the format \"x = [answer]\" and use just integers", "ideal": "x = [[ 44]\n [-68]\n [-15]]"}, {"prompt": "solve the linear equation Ax = b for the vector x where A =[[-30 -39 87]\n [-50 17 -2]\n [ -6 65 -36]] and b = [[ 4629]\n [ 55]\n [-6029]]. Provide the answer in the format \"x = [answer]\" and use just integers", "ideal": "x = [[-34]\n [-97]\n [ -2]]"}, {"prompt": "solve the linear equation Ax = b for the vector x where A =[[ 44 -95 -16]\n [-48 -86 -8]\n [-37 53 16]] and b = [[-4010]\n [-8284]\n [ 2162]]. Provide the answer in the format \"x = [answer]\" and use just integers", "ideal": "x = [[60]\n [54]\n [95]]"}, {"prompt": "solve the linear equation Ax = b for the vector x where A =[[-26 99 -34]\n [-47 98 -78]\n [ 18 29 17]] and b = [[3022]\n [6039]\n [-828]]. Provide the answer in the format \"x = [answer]\" and use just integers", "ideal": "x = [[ 11]\n [ 8]\n [-74]]"}], "columns": [{"key": "prompt", "header": "Prompt"}, {"key": "ideal", "header": "Ideal"}]}, "position": {"x": -16, "y": 160}, "selected": false, "positionAbsolute": {"x": -16, "y": 160}, "dragging": false}], "edges": [{"source": "prompt-linear-equations", "sourceHandle": "prompt", "target": "eval-linear-equations", "targetHandle": "responseBatch", "interactionWidth": 100, "markerEnd": {"type": "arrow", "width": "22px", "height": "22px"}, "id": "reactflow__edge-prompt-1686756357355prompt-eval-1686756357355responseBatch"}, {"source": "prompt-linear-equations", "sourceHandle": "prompt", "target": "inspect-linear-equations", "targetHandle": "input", "interactionWidth": 100, "markerEnd": {"type": "arrow", "width": "22px", "height": "22px"}, "id": "reactflow__edge-prompt-1686756357355prompt-inspect-1686756357355input"}, {"source": "eval-linear-equations", "sourceHandle": "output", "target": "vis-linear-equations", "targetHandle": "input", "interactionWidth": 100, "markerEnd": {"type": "arrow", "width": "22px", "height": "22px"}, "id": "reactflow__edge-eval-1686756357355output-vis-1686756357355input"}, {"source": "table-linear-equations", "sourceHandle": "Prompt", "target": "prompt-linear-equations", "targetHandle": "prompt", "interactionWidth": 100, "markerEnd": {"type": "arrow", "width": "22px", "height": "22px"}, "id": "reactflow__edge-table-1686756385002Prompt-prompt-1686756357355prompt"}], "viewport": {"x": 144, "y": 37, "zoom": 1}}, "cache": {"eval-1686756357355.json": {}, "inspect-1686756357355.json": {}, "prompt-1686756357355.json": {}, "table-1686756385002.json": {}, "vis-1686756357355.json": {}}}