messages listlengths 5 5 | boxed_answer stringlengths 1 45 | norm stringlengths 4 25 | correct bool 2
classes | stop_reason stringclasses 1
value | critique_model stringclasses 1
value | base_loss float64 0.68 1.39 |
|---|---|---|---|---|---|---|
[
{
"content": "You are an expert mathematics critic. When presented with a problem, solve it step by step. When asked to critique a solution, evaluate the reasoning and identify any errors.",
"role": "system"
},
{
"content": "The pressure P exerted by wind on a sail varies jointly as the area A of th... | 32 \sqrt[3]{2} \text{ mph} | 32\sqrt[3]{2} | false | stop | Llama-4-Maverick-17B-128E-Instruct-FP8 | 0.849642 |
[
{
"content": "You are an expert mathematics critic. When presented with a problem, solve it step by step. When asked to critique a solution, evaluate the reasoning and identify any errors.",
"role": "system"
},
{
"content": "The pressure P exerted by wind on a sail varies jointly as the area A of th... | 12.7 | 12.70 | true | stop | Llama-4-Maverick-17B-128E-Instruct-FP8 | 1.044898 |
[
{
"content": "You are an expert mathematics critic. When presented with a problem, solve it step by step. When asked to critique a solution, evaluate the reasoning and identify any errors.",
"role": "system"
},
{
"content": "The pressure P exerted by wind on a sail varies jointly as the area A of th... | 81.85 | 81.85 | false | stop | Llama-4-Maverick-17B-128E-Instruct-FP8 | 0.874819 |
[
{
"content": "You are an expert mathematics critic. When presented with a problem, solve it step by step. When asked to critique a solution, evaluate the reasoning and identify any errors.",
"role": "system"
},
{
"content": "The pressure P exerted by wind on a sail varies jointly as the area A of th... | 2048 | 2048.00 | false | stop | Llama-4-Maverick-17B-128E-Instruct-FP8 | 0.966877 |
[
{
"content": "You are an expert mathematics critic. When presented with a problem, solve it step by step. When asked to critique a solution, evaluate the reasoning and identify any errors.",
"role": "system"
},
{
"content": "The pressure P exerted by wind on a sail varies jointly as the area A of th... | 2^{11/3} | 2^{11/3} | true | stop | Llama-4-Maverick-17B-128E-Instruct-FP8 | 0.692069 |
[
{
"content": "You are an expert mathematics critic. When presented with a problem, solve it step by step. When asked to critique a solution, evaluate the reasoning and identify any errors.",
"role": "system"
},
{
"content": "The pressure P exerted by wind on a sail varies jointly as the area A of th... | 12.69 | 12.69 | true | stop | Llama-4-Maverick-17B-128E-Instruct-FP8 | 1.191745 |
[
{
"content": "You are an expert mathematics critic. When presented with a problem, solve it step by step. When asked to critique a solution, evaluate the reasoning and identify any errors.",
"role": "system"
},
{
"content": "The pressure P exerted by wind on a sail varies jointly as the area A of th... | 12.72 \, \text{mph} | 12.72 | true | stop | Llama-4-Maverick-17B-128E-Instruct-FP8 | 1.097103 |
[
{
"content": "You are an expert mathematics critic. When presented with a problem, solve it step by step. When asked to critique a solution, evaluate the reasoning and identify any errors.",
"role": "system"
},
{
"content": "The pressure P exerted by wind on a sail varies jointly as the area A of th... | 12.6 | 12.60 | false | stop | Llama-4-Maverick-17B-128E-Instruct-FP8 | 1.031822 |
[
{
"content": "You are an expert mathematics critic. When presented with a problem, solve it step by step. When asked to critique a solution, evaluate the reasoning and identify any errors.",
"role": "system"
},
{
"content": "The pressure P exerted by wind on a sail varies jointly as the area A of th... | 3 | 3.00 | false | stop | Llama-4-Maverick-17B-128E-Instruct-FP8 | 1.134816 |
[
{
"content": "You are an expert mathematics critic. When presented with a problem, solve it step by step. When asked to critique a solution, evaluate the reasoning and identify any errors.",
"role": "system"
},
{
"content": "The pressure P exerted by wind on a sail varies jointly as the area A of th... | \sqrt[3]{2048} \, \text{mph} | \sqrt[3]{2048} | true | stop | Llama-4-Maverick-17B-128E-Instruct-FP8 | 0.690594 |
[
{
"content": "You are an expert mathematics critic. When presented with a problem, solve it step by step. When asked to critique a solution, evaluate the reasoning and identify any errors.",
"role": "system"
},
{
"content": "The pressure P exerted by wind on a sail varies jointly as the area A of th... | 12.69 \, \text{mph} | 12.69 | true | stop | Llama-4-Maverick-17B-128E-Instruct-FP8 | 1.16384 |
[
{
"content": "You are an expert mathematics critic. When presented with a problem, solve it step by step. When asked to critique a solution, evaluate the reasoning and identify any errors.",
"role": "system"
},
{
"content": "The pressure P exerted by wind on a sail varies jointly as the area A of th... | 12.65 \text{ mph} | 12.65 | true | stop | Llama-4-Maverick-17B-128E-Instruct-FP8 | 1.118986 |
[
{
"content": "You are an expert mathematics critic. When presented with a problem, solve it step by step. When asked to critique a solution, evaluate the reasoning and identify any errors.",
"role": "system"
},
{
"content": "The pressure P exerted by wind on a sail varies jointly as the area A of th... | 2 | 2.00 | false | stop | Llama-4-Maverick-17B-128E-Instruct-FP8 | 1.223981 |
[
{
"content": "You are an expert mathematics critic. When presented with a problem, solve it step by step. When asked to critique a solution, evaluate the reasoning and identify any errors.",
"role": "system"
},
{
"content": "The pressure P exerted by wind on a sail varies jointly as the area A of th... | 11.54 | 11.54 | false | stop | Llama-4-Maverick-17B-128E-Instruct-FP8 | 1.105641 |
[
{
"content": "You are an expert mathematics critic. When presented with a problem, solve it step by step. When asked to critique a solution, evaluate the reasoning and identify any errors.",
"role": "system"
},
{
"content": "The pressure P exerted by wind on a sail varies jointly as the area A of th... | V = 8 \cdot \sqrt[3]{4} \, \text{mph} | 8\cdot\sqrt[3]{4} | true | stop | Llama-4-Maverick-17B-128E-Instruct-FP8 | 1.000066 |
[
{
"content": "You are an expert mathematics critic. When presented with a problem, solve it step by step. When asked to critique a solution, evaluate the reasoning and identify any errors.",
"role": "system"
},
{
"content": "The pressure P exerted by wind on a sail varies jointly as the area A of th... | 6.35 | 6.35 | false | stop | Llama-4-Maverick-17B-128E-Instruct-FP8 | 0.879761 |
[
{
"content": "You are an expert mathematics critic. When presented with a problem, solve it step by step. When asked to critique a solution, evaluate the reasoning and identify any errors.",
"role": "system"
},
{
"content": "The pressure P exerted by wind on a sail varies jointly as the area A of th... | V' \approx 12.7 \, \text{mph} | V'\approx12.7 | false | stop | Llama-4-Maverick-17B-128E-Instruct-FP8 | 0.973336 |
[
{
"content": "You are an expert mathematics critic. When presented with a problem, solve it step by step. When asked to critique a solution, evaluate the reasoning and identify any errors.",
"role": "system"
},
{
"content": "The pressure P exerted by wind on a sail varies jointly as the area A of th... | 8 \cdot \sqrt[3]{4} | 8\cdot\sqrt[3]{4} | true | stop | Llama-4-Maverick-17B-128E-Instruct-FP8 | 0.967737 |
[
{
"content": "You are an expert mathematics critic. When presented with a problem, solve it step by step. When asked to critique a solution, evaluate the reasoning and identify any errors.",
"role": "system"
},
{
"content": "The pressure P exerted by wind on a sail varies jointly as the area A of th... | 9.96 \ \text{mph} | 9.96 | false | stop | Llama-4-Maverick-17B-128E-Instruct-FP8 | 0.776701 |
[
{
"content": "You are an expert mathematics critic. When presented with a problem, solve it step by step. When asked to critique a solution, evaluate the reasoning and identify any errors.",
"role": "system"
},
{
"content": "The pressure P exerted by wind on a sail varies jointly as the area A of th... | 8 \times \sqrt[3]{4} | 8\times\sqrt[3]{4} | true | stop | Llama-4-Maverick-17B-128E-Instruct-FP8 | 0.854821 |
[
{
"content": "You are an expert mathematics critic. When presented with a problem, solve it step by step. When asked to critique a solution, evaluate the reasoning and identify any errors.",
"role": "system"
},
{
"content": "The pressure P exerted by wind on a sail varies jointly as the area A of th... | 8 \cdot 2^{2/3} | 8\cdot2^{2/3} | true | stop | Llama-4-Maverick-17B-128E-Instruct-FP8 | 0.675847 |
[
{
"content": "You are an expert mathematics critic. When presented with a problem, solve it step by step. When asked to critique a solution, evaluate the reasoning and identify any errors.",
"role": "system"
},
{
"content": "The pressure P exerted by wind on a sail varies jointly as the area A of th... | 256 | 256.00 | false | stop | Llama-4-Maverick-17B-128E-Instruct-FP8 | 1.027532 |
[
{
"content": "You are an expert mathematics critic. When presented with a problem, solve it step by step. When asked to critique a solution, evaluate the reasoning and identify any errors.",
"role": "system"
},
{
"content": "The pressure P exerted by wind on a sail varies jointly as the area A of th... | 16 | 16.00 | false | stop | Llama-4-Maverick-17B-128E-Instruct-FP8 | 1.387385 |
[
{
"content": "You are an expert mathematics critic. When presented with a problem, solve it step by step. When asked to critique a solution, evaluate the reasoning and identify any errors.",
"role": "system"
},
{
"content": "The pressure P exerted by wind on a sail varies jointly as the area A of th... | 40.32 | 40.32 | false | stop | Llama-4-Maverick-17B-128E-Instruct-FP8 | 0.776853 |
[
{
"content": "You are an expert mathematics critic. When presented with a problem, solve it step by step. When asked to critique a solution, evaluate the reasoning and identify any errors.",
"role": "system"
},
{
"content": "The pressure P exerted by wind on a sail varies jointly as the area A of th... | V = \sqrt[3]{2048} \text{ miles per hour} | \sqrt[3]{2048} | true | stop | Llama-4-Maverick-17B-128E-Instruct-FP8 | 0.923548 |
[
{
"content": "You are an expert mathematics critic. When presented with a problem, solve it step by step. When asked to critique a solution, evaluate the reasoning and identify any errors.",
"role": "system"
},
{
"content": "The pressure P exerted by wind on a sail varies jointly as the area A of th... | \sqrt[3]{16} | \sqrt[3]{16} | false | stop | Llama-4-Maverick-17B-128E-Instruct-FP8 | 0.837442 |
[
{
"content": "You are an expert mathematics critic. When presented with a problem, solve it step by step. When asked to critique a solution, evaluate the reasoning and identify any errors.",
"role": "system"
},
{
"content": "The pressure P exerted by wind on a sail varies jointly as the area A of th... | 12.5 | 12.50 | false | stop | Llama-4-Maverick-17B-128E-Instruct-FP8 | 0.687849 |
[
{
"content": "You are an expert mathematics critic. When presented with a problem, solve it step by step. When asked to critique a solution, evaluate the reasoning and identify any errors.",
"role": "system"
},
{
"content": "The pressure P exerted by wind on a sail varies jointly as the area A of th... | 12.706 | 12.71 | true | stop | Llama-4-Maverick-17B-128E-Instruct-FP8 | 1.091513 |
[
{
"content": "You are an expert mathematics critic. When presented with a problem, solve it step by step. When asked to critique a solution, evaluate the reasoning and identify any errors.",
"role": "system"
},
{
"content": "The pressure P exerted by wind on a sail varies jointly as the area A of th... | 12.706 | 12.71 | true | stop | Llama-4-Maverick-17B-128E-Instruct-FP8 | 1.101114 |
[
{
"content": "You are an expert mathematics critic. When presented with a problem, solve it step by step. When asked to critique a solution, evaluate the reasoning and identify any errors.",
"role": "system"
},
{
"content": "The pressure P exerted by wind on a sail varies jointly as the area A of th... | 12.68 | 12.68 | true | stop | Llama-4-Maverick-17B-128E-Instruct-FP8 | 1.004356 |
[
{
"content": "You are an expert mathematics critic. When presented with a problem, solve it step by step. When asked to critique a solution, evaluate the reasoning and identify any errors.",
"role": "system"
},
{
"content": "The pressure P exerted by wind on a sail varies jointly as the area A of th... | 10.1 \, \text{mph} | 10.10 | false | stop | Llama-4-Maverick-17B-128E-Instruct-FP8 | 0.838629 |
[
{
"content": "You are an expert mathematics critic. When presented with a problem, solve it step by step. When asked to critique a solution, evaluate the reasoning and identify any errors.",
"role": "system"
},
{
"content": "The pressure P exerted by wind on a sail varies jointly as the area A of th... | 12.645 | 12.64 | true | stop | Llama-4-Maverick-17B-128E-Instruct-FP8 | 0.889145 |
[
{
"content": "You are an expert mathematics critic. When presented with a problem, solve it step by step. When asked to critique a solution, evaluate the reasoning and identify any errors.",
"role": "system"
},
{
"content": "The pressure P exerted by wind on a sail varies jointly as the area A of th... | 12.57 | 12.57 | false | stop | Llama-4-Maverick-17B-128E-Instruct-FP8 | 0.697083 |
[
{
"content": "You are an expert mathematics critic. When presented with a problem, solve it step by step. When asked to critique a solution, evaluate the reasoning and identify any errors.",
"role": "system"
},
{
"content": "The pressure P exerted by wind on a sail varies jointly as the area A of th... | V = \sqrt[3]{2048} \approx 12.7 \, \text{mph} | \sqrt[3]{2048}\approx12.7 | false | stop | Llama-4-Maverick-17B-128E-Instruct-FP8 | 1.101313 |
[
{
"content": "You are an expert mathematics critic. When presented with a problem, solve it step by step. When asked to critique a solution, evaluate the reasoning and identify any errors.",
"role": "system"
},
{
"content": "The pressure P exerted by wind on a sail varies jointly as the area A of th... | 32 \ \text{mph} | 32.00 | false | stop | Llama-4-Maverick-17B-128E-Instruct-FP8 | 0.745575 |
[
{
"content": "You are an expert mathematics critic. When presented with a problem, solve it step by step. When asked to critique a solution, evaluate the reasoning and identify any errors.",
"role": "system"
},
{
"content": "The pressure P exerted by wind on a sail varies jointly as the area A of th... | 12.9 | 12.90 | false | stop | Llama-4-Maverick-17B-128E-Instruct-FP8 | 0.992975 |
[
{
"content": "You are an expert mathematics critic. When presented with a problem, solve it step by step. When asked to critique a solution, evaluate the reasoning and identify any errors.",
"role": "system"
},
{
"content": "The pressure P exerted by wind on a sail varies jointly as the area A of th... | 9.69 | 9.69 | false | stop | Llama-4-Maverick-17B-128E-Instruct-FP8 | 0.831184 |
[
{
"content": "You are an expert mathematics critic. When presented with a problem, solve it step by step. When asked to critique a solution, evaluate the reasoning and identify any errors.",
"role": "system"
},
{
"content": "The pressure P exerted by wind on a sail varies jointly as the area A of th... | 9.88 | 9.88 | false | stop | Llama-4-Maverick-17B-128E-Instruct-FP8 | 0.951014 |
[
{
"content": "You are an expert mathematics critic. When presented with a problem, solve it step by step. When asked to critique a solution, evaluate the reasoning and identify any errors.",
"role": "system"
},
{
"content": "The pressure P exerted by wind on a sail varies jointly as the area A of th... | 8\sqrt[3]{2} \text{ mph} | 8\sqrt[3]{2} | false | stop | Llama-4-Maverick-17B-128E-Instruct-FP8 | 0.802951 |
[
{
"content": "You are an expert mathematics critic. When presented with a problem, solve it step by step. When asked to critique a solution, evaluate the reasoning and identify any errors.",
"role": "system"
},
{
"content": "The pressure P exerted by wind on a sail varies jointly as the area A of th... | 160 \, \text{mph} | 160.00 | false | stop | Llama-4-Maverick-17B-128E-Instruct-FP8 | 0.910251 |
[
{
"content": "You are an expert mathematics critic. When presented with a problem, solve it step by step. When asked to critique a solution, evaluate the reasoning and identify any errors.",
"role": "system"
},
{
"content": "The pressure P exerted by wind on a sail varies jointly as the area A of th... | 11.64 | 11.64 | false | stop | Llama-4-Maverick-17B-128E-Instruct-FP8 | 0.704541 |
[
{
"content": "You are an expert mathematics critic. When presented with a problem, solve it step by step. When asked to critique a solution, evaluate the reasoning and identify any errors.",
"role": "system"
},
{
"content": "The pressure P exerted by wind on a sail varies jointly as the area A of th... | 16\sqrt[3]{2} \text{ mph} | 16\sqrt[3]{2} | false | stop | Llama-4-Maverick-17B-128E-Instruct-FP8 | 0.731315 |
[
{
"content": "You are an expert mathematics critic. When presented with a problem, solve it step by step. When asked to critique a solution, evaluate the reasoning and identify any errors.",
"role": "system"
},
{
"content": "The pressure P exerted by wind on a sail varies jointly as the area A of th... | 12.65 | 12.65 | true | stop | Llama-4-Maverick-17B-128E-Instruct-FP8 | 1.201409 |
[
{
"content": "You are an expert mathematics critic. When presented with a problem, solve it step by step. When asked to critique a solution, evaluate the reasoning and identify any errors.",
"role": "system"
},
{
"content": "The pressure P exerted by wind on a sail varies jointly as the area A of th... | 12.65 | 12.65 | true | stop | Llama-4-Maverick-17B-128E-Instruct-FP8 | 1.003544 |
[
{
"content": "You are an expert mathematics critic. When presented with a problem, solve it step by step. When asked to critique a solution, evaluate the reasoning and identify any errors.",
"role": "system"
},
{
"content": "The pressure P exerted by wind on a sail varies jointly as the area A of th... | 12.68 | 12.68 | true | stop | Llama-4-Maverick-17B-128E-Instruct-FP8 | 0.839659 |
[
{
"content": "You are an expert mathematics critic. When presented with a problem, solve it step by step. When asked to critique a solution, evaluate the reasoning and identify any errors.",
"role": "system"
},
{
"content": "The pressure P exerted by wind on a sail varies jointly as the area A of th... | V = 8 \cdot \sqrt[3]{4} \, \text{mph} | 8\cdot\sqrt[3]{4} | true | stop | Llama-4-Maverick-17B-128E-Instruct-FP8 | 0.995303 |
[
{
"content": "You are an expert mathematics critic. When presented with a problem, solve it step by step. When asked to critique a solution, evaluate the reasoning and identify any errors.",
"role": "system"
},
{
"content": "The pressure P exerted by wind on a sail varies jointly as the area A of th... | 8 \cdot \sqrt[3]{4} | 8\cdot\sqrt[3]{4} | true | stop | Llama-4-Maverick-17B-128E-Instruct-FP8 | 0.865264 |
[
{
"content": "You are an expert mathematics critic. When presented with a problem, solve it step by step. When asked to critique a solution, evaluate the reasoning and identify any errors.",
"role": "system"
},
{
"content": "The pressure P exerted by wind on a sail varies jointly as the area A of th... | 8 \cdot \sqrt[3]{2} | 8\cdot\sqrt[3]{2} | false | stop | Llama-4-Maverick-17B-128E-Instruct-FP8 | 0.712595 |
[
{
"content": "You are an expert mathematics critic. When presented with a problem, solve it step by step. When asked to critique a solution, evaluate the reasoning and identify any errors.",
"role": "system"
},
{
"content": "The pressure P exerted by wind on a sail varies jointly as the area A of th... | V = 4\sqrt[3]{32} \text{ miles per hour} | 4\sqrt[3]{32} | true | stop | Llama-4-Maverick-17B-128E-Instruct-FP8 | 0.772393 |
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