Views
No views yet
1pip install torch torchvision torchaudio
2pip install accelerate
3pip install transformers1from transformers import AutoModelForCausalLM, AutoTokenizer, set_seed
2import torch
3
4model_path="ibm-granite/granite-3.2-2b-instruct"
5device="cuda"
6model = AutoModelForCausalLM.from_pretrained(
7 model_path,
8 device_map=device,
9 torch_dtype=torch.bfloat16,
10 )
11tokenizer = AutoTokenizer.from_pretrained(
12 model_path
13)
14
15conv = [{"role": "user", "content":"You have 10 liters of a 30% acid solution. How many liters of a 70% acid solution must be added to achieve a 50% acid mixture?"}]
16
17input_ids = tokenizer.apply_chat_template(conv, return_tensors="pt", thinking=True, return_dict=True, add_generation_prompt=True).to(device)
18
19set_seed(42)
20output = model.generate(
21 **input_ids,
22 max_new_tokens=8192,
23)
24
25prediction = tokenizer.decode(output[0, input_ids["input_ids"].shape[1]:], skip_special_tokens=True)
26print(prediction)1Here is my thought process:
2
31. First, let's understand the composition of the initial 10 liters of 30% acid solution:
4 - Acid content = 30% of 10 liters = 0.30 * 10 = 3 liters
5
62. We want to end up with a 50% acid solution. Let's denote the volume of the 70% acid solution to be added as 'x' liters.
7
83. The amount of acid in the final mixture (50% solution) should equal the initial acid content plus the acid from the added 70% solution.
9 - Total acid in final mixture = 0.50 * (10 + x)
10
114. The equation representing the total acid content is:
12 3 (from initial solution) + 0.70 * x (from added solution) = 0.50 * (10 + x)
13
145. Now, we solve for 'x':
15 3 + 0.70x = 5 + 0.50x
16 0.70x - 0.50x = 5 - 3
17 0.20x = 2
18 x = 2 / 0.20
19 x = 10 liters
20
216. Therefore, 10 liters of a 70% acid solution must be added to the initial 10 liters of 30% acid solution to achieve a 50% acid mixture.
22
23Here is my response:
24
25To solve this problem, we need to determine how much of a 70% acid solution must be added to a 10-liter solution that is already 30% acid to create a new mixture that is 50% acid. Here's how to calculate it:
26
271. **Initial Acid Content**:
28 - The initial 10-liter solution contains 3 liters of acid (since 30% of 10 liters).
29
302. **Desired Final Acid Content**:
31 - We want the final mixture to be 50% acid.
32
333. **Equation Setup**:
34 - Let 'x' be the volume (in liters) of the 70% acid solution to be added.
35 - The equation representing the total acid content in the final mixture (which is 10 liters from the initial solution plus 'x' liters of the added solution) should equal 50% of the total volume (10 + x).
36 - This gives us: 3 (acid from initial solution) + 0.70x (acid from added solution) = 0.50(10 + x)
37
384. **Solving the Equation**:
39 - First, simplify the right side of the equation: 0.50(10 + x) = 5 + 0.50x
40 - Now, the equation is: 3 + 0.70x = 5 + 0.50x
41 - Subtract 0.50x from both sides: 0.20x = 2
42 - Divide both sides by 0.20: x = 2 / 0.20
43 - x = 10 liters
44
455. **Conclusion**:
46 - To achieve a 50% acid mixture from the initial 30% solution, you need to add 10 liters of a 70% acid solution.
47
48So, the final answer is that 10 liters of a 70% acid solution must be added to the initial 10 liters of 30% acid solution.1To solve this problem, we'll use the concept of volume and concentration. Let's denote the amount of 70% acid solution we need to add as "x" liters.
2
3First, let's find out how much acid is in the initial 10-liter solution:
4
5Acid in initial solution = 30% of 10 liters = 0.30 * 10 = 3 liters
6
7Now, we want to end up with a 50% acid solution in a total volume of (10 + x) liters. Let's denote the final volume as V.
8
9Final acid concentration = 50%
10Final acid amount = 50% of V = 0.50 * V
11
12We know the initial acid amount and the final acid amount, so we can set up an equation:
13
14Initial acid amount + Acid from added solution = Final acid amount
153 liters + (70% of x) = 0.50 * (10 + x)
16
17Now, let's solve for x:
18
190.70x + 3 = 0.50 * 10 + 0.50x
200.70x - 0.50x = 0.50 * 10 - 3
210.20x = 5 - 3
220.20x = 2
23x = 2 / 0.20
24x = 10 liters
25
26So, you need to add 10 liters of a 70% acid solution to the initial 10-liter 30% acid solution to achieve a 50% acid mixture.| Models | ArenaHard | Alpaca-Eval-2 | MMLU | PopQA | TruthfulQA | BigBenchHard | DROP | GSM8K | HumanEval | HumanEval+ | IFEval | AttaQ |
|---|---|---|---|---|---|---|---|---|---|---|---|---|
| Llama-3.1-8B-Instruct | 36.43 | 27.22 | 69.15 | 28.79 | 52.79 | 72.66 | 61.48 | 83.24 | 85.32 | 80.15 | 79.10 | 83.43 |
| DeepSeek-R1-Distill-Llama-8B | 17.17 | 21.85 | 45.80 | 13.25 | 47.43 | 65.71 | 44.46 | 72.18 | 67.54 | 62.91 | 66.50 | 42.87 |
| Qwen-2.5-7B-Instruct | 25.44 | 30.34 | 74.30 | 18.12 | 63.06 | 70.40 | 54.71 | 84.46 | 93.35 | 89.91 | 74.90 | 81.90 |
| DeepSeek-R1-Distill-Qwen-7B | 10.36 | 15.35 | 50.72 | 9.94 | 47.14 | 65.04 | 42.76 | 78.47 | 79.89 | 78.43 | 59.10 | 42.45 |
| Granite-3.1-8B-Instruct | 37.58 | 30.34 | 66.77 | 28.7 | 65.84 | 68.55 | 50.78 | 79.15 | 89.63 | 85.79 | 73.20 | 85.73 |
| Granite-3.1-2B-Instruct | 23.3 | 27.17 | 57.11 | 20.55 | 59.79 | 54.46 | 18.68 | 67.55 | 79.45 | 75.26 | 63.59 | 84.7 |
| Granite-3.2-8B-Instruct | 55.25 | 61.19 | 66.79 | 28.04 | 66.92 | 64.77 | 50.95 | 81.65 | 89.35 | 85.72 | 74.31 | 85.42 |
| Granite-3.2-2B-Instruct | 24.86 | 34.51 | 57.18 | 20.56 | 59.8 | 52.27 | 21.12 | 67.02 | 80.13 | 73.39 | 61.55 | 83.23 |