messages listlengths 2 2 | source stringclasses 1
value | id stringlengths 36 36 |
|---|---|---|
[
{
"content": "What is 85 times 957?",
"role": "user"
},
{
"content": "<think>\nStep 1: I need to multiply 85 × 957. Let me break this down into a structured approach.\n\nSubgoal 1: Break down the numbers into digits.\n- First number: 85 = 8 tens + 5 ones\n- Second number: 957 = 9 hundreds + 5 tens +... | countdown | fc98e1cf-2348-411e-bdcf-13537e76e0b8 |
[
{
"content": "What is 59 times 201?",
"role": "user"
},
{
"content": "<think> Step 1: I need to multiply 59 × 201. I'll break this down into a structured calculation using the FFT multiplication method, which involves multiplying individual digits and combining the results. </think>\n\n<think> Step ... | countdown | 0d5f8c40-2b07-4000-84b8-1e964b9dc937 |
[
{
"content": "What is 67 times 237?",
"role": "user"
},
{
"content": "<think>\nStep 1: I need to multiply 67 × 237 using a structured approach. Let me break down the problem into subgoals.\n\nSubgoal 1: Break down the numbers into individual digits.\n- First number: 67 = 6 tens + 7 ones\n- Second nu... | countdown | d14ea228-1cd0-4873-9681-796c79e6959b |
[
{
"content": "What is 98 times 273?",
"role": "user"
},
{
"content": "<think>\nStep 1: I need to multiply 98 × 273. I'll use a structured approach to break this down.\n\nSubgoal 1: Break down the numbers into digits.\n- First number: 98 = 9 tens + 8 ones\n- Second number: 273 = 2 hundreds + 7 tens +... | countdown | 7cd7a6df-3947-4694-ad02-7f78f9780ce4 |
[
{
"content": "What is 30 times 785?",
"role": "user"
},
{
"content": "<think>\nStep 1: I need to compute 30 × 785 using the fft_multiplication method. This involves breaking down the numbers into digits, multiplying each digit, and summing the results.\n\nStep 2: Let's break down the numbers:\n- 30 ... | countdown | 192e94b1-7c52-46c0-a0ce-8d9229d0e321 |
[
{
"content": "What is 57 times 976?",
"role": "user"
},
{
"content": "<think>\nStep 1: I need to multiply 57 × 976 using the digit-by-digit multiplication method.\n\nStep 2: Let me break this into subgoals.\nSubgoal 1: Multiply each digit of 57 with each digit of 976.\nSubgoal 2: Place the results i... | countdown | c6565442-7f6c-4f65-b12c-b7750d2ff7e6 |
[
{
"content": "What is 38 times 754?",
"role": "user"
},
{
"content": "<think>\nStep 1: Let me break down this multiplication problem: 38 × 754. I'll use the fft_multiplication method, which involves breaking the numbers into digits, performing individual multiplications, and then summing the results... | countdown | 69b7a1f5-566c-4c61-95b6-a51ead74837e |
[
{
"content": "What is 22 times 556?",
"role": "user"
},
{
"content": "<think>\nStep 1: I need to compute the product of 22 and 556 using the FFT multiplication method. Let me break down the numbers into individual digits.\n- First number: 22 → digits [2, 2]\n- Second number: 556 → digits [5, 5, 6]\n... | countdown | c4c42840-d77e-490d-864b-fe7f4849c8eb |
[
{
"content": "What is 91 times 422?",
"role": "user"
},
{
"content": "<think>\nStep 1: I need to multiply 91 × 422 using the digit-by-digit approach.\n\nSubgoal 1: Break down the numbers into individual digits.\n- First number: 91 = 9 tens + 1 one\n- Second number: 422 = 4 hundreds + 2 tens + 2 ones... | countdown | 7043a80d-1fff-429b-b409-a4bdb5dde344 |
[
{
"content": "What is 69 times 827?",
"role": "user"
},
{
"content": "<think>\nStep 1: I need to multiply 69 × 827 using a structured approach. Let me break this down into clear subgoals.\n\nSubgoal 1: Break down the numbers into individual digits.\n- 69 = 6 tens + 9 ones\n- 827 = 8 hundreds + 2 ten... | countdown | d290272f-5c46-47ee-a6b6-301fa2ce5d3e |
[
{
"content": "What is 31 times 346?",
"role": "user"
},
{
"content": "<think>\nStep 1: I need to multiply 31 × 346. I'll break this down using the FFT multiplication method, which involves multiplying each digit of one number with each digit of the other and then summing the results with the appropr... | countdown | 28516f93-7616-4d33-baee-8fcb9d861821 |
[
{
"content": "What is 82 times 302?",
"role": "user"
},
{
"content": "<think>\nStep 1: I need to multiply 82 × 302. I'll use the FFT multiplication method, which involves breaking down the numbers into digits and multiplying each digit.\n\nStep 2: Let me break down the numbers:\n- 82 = 8 tens + 2 on... | countdown | c607b361-1680-4970-b571-5d70a29a1bd4 |
[
{
"content": "What is 70 times 860?",
"role": "user"
},
{
"content": "<think>\nStep 1: I need to multiply 70 and 860 using digit-by-digit multiplication.\n\nStep 2: Let me break down the numbers:\n- 70 = 7 × 10\n- 860 = 8 × 100 + 6 × 10 + 0 × 1\n\nStep 3: I can simplify this calculation by recognizi... | countdown | 2efb0a6f-b733-4894-ab13-4eea602fb2f0 |
[
{
"content": "What is 82 times 653?",
"role": "user"
},
{
"content": "<think>\nStep 1: I need to multiply 82 × 653 using the digit-by-digit approach.\n\nStep 2: Let me break this down into clear subgoals.\nSubgoal 1: Multiply 2 (the ones digit of 82) by each digit of 653.\nSubgoal 2: Multiply 8 (the... | countdown | f9772740-a5b2-495a-8597-5bffc1b2d101 |
[
{
"content": "What is 53 times 208?",
"role": "user"
},
{
"content": "<think>\nStep 1: I need to multiply 53 by 208. Let me break this down into subgoals.\n\nSubgoal 1: Break down the numbers into individual digits.\n- 53 = 5 tens + 3 ones\n- 208 = 2 hundreds + 0 tens + 8 ones\n\nSubgoal 2: Multiply... | countdown | c056cbfa-6305-4730-b89d-c2cbbbcb7a40 |
[
{
"content": "What is 60 times 984?",
"role": "user"
},
{
"content": "<think>\nStep 1: I need to multiply 60 by 984. I'll break this down using the digit-by-digit multiplication approach.\n\nStep 2: First, let me identify the digits of each number.\n- 60 has digits 6 and 0\n- 984 has digits 9, 8, an... | countdown | c39a4343-5862-480b-b558-518d4ec6f345 |
[
{
"content": "What is 99 times 710?",
"role": "user"
},
{
"content": "<think>\nStep 1: Let me understand what I need to do. I need to multiply 99 × 710 using a structured approach.\n\nStep 2: Let me break down the numbers into digits.\n99 = 9 × 10¹ + 9 × 10⁰\n710 = 7 × 10² + 1 × 10¹ + 0 × 10⁰\n\nSub... | countdown | 92c910ec-b0b7-4467-ad65-25888cc42606 |
[
{
"content": "What is 98 times 250?",
"role": "user"
},
{
"content": "<think>\nStep 1: I need to multiply 98 by 250. Let me break this down.\n\nSubgoal 1: Understand the problem structure.\n- I have two numbers: 98 and 250\n- I need to find their product using a clear, step-by-step approach\n\nStep ... | countdown | c473815a-d1e8-4d24-a807-5a88414aac2e |
[
{
"content": "What is 15 times 628?",
"role": "user"
},
{
"content": "<think>\nStep 1: I need to multiply 15 × 628. I'll break this down using the FFT multiplication approach by multiplying each digit of 15 with each digit of 628 and then combining the results properly.\n\nStep 2: Let me identify th... | countdown | 34732e4a-e27d-45fb-ba64-072f9c5a225d |
[
{
"content": "What is 62 times 442?",
"role": "user"
},
{
"content": "<think>\nStep 1: I need to multiply 62 × 442 using a systematic approach. Let me break this down into clear subgoals.\n\nSubgoal 1: Identify the digits in each number.\n- First number: 62 (digits: 6, 2)\n- Second number: 442 (digi... | countdown | 8ba1c91c-4db3-4e91-9721-f68a12799163 |
[
{
"content": "What is 66 times 194?",
"role": "user"
},
{
"content": "<think>\nStep 1: I need to multiply 66 by 194. I'll break this down into a structured approach using place values.\n\nSubgoal 1: Break down the numbers into digits.\n- First number: 66 = 6 tens + 6 ones\n- Second number: 194 = 1 h... | countdown | c2598dc3-5282-4247-9727-182aed91489f |
[
{
"content": "What is 86 times 761?",
"role": "user"
},
{
"content": "<think>\nStep 1: I need to multiply 86 × 761 using a structured approach. I'll break this down into subgoals.\n\nSubgoal 1: Break down the numbers into digits.\n- First number: 86 = 8 tens + 6 ones\n- Second number: 761 = 7 hundre... | countdown | 08514e40-0028-4064-bc79-9d95554dfdb3 |
[
{
"content": "What is 37 times 587?",
"role": "user"
},
{
"content": "<think>\nStep 1: I need to multiply 37 × 587 using a structured approach. Let me break down the problem.\n\nSubgoal 1: Break down the multiplication by place value.\n- I'll multiply 37 with each digit of 587, considering their pla... | countdown | e696b8db-3546-4569-bae9-438872eb841c |
[
{
"content": "What is 83 times 292?",
"role": "user"
},
{
"content": "<think>\nStep 1: I'll solve this multiplication problem using the standard algorithm, breaking it down by digits.\n\nSubgoal 1: Set up the multiplication of 83 × 292.\n- First number: 83 (has digits 8 and 3)\n- Second number: 292 ... | countdown | 7032a929-1dd7-42f6-9395-533c00143099 |
[
{
"content": "What is 76 times 904?",
"role": "user"
},
{
"content": "<think>\nStep 1: Let me break down this multiplication problem of 76 × 904.\n\nSubgoal 1: Understand the problem structure.\n- I need to multiply 76 by 904\n- I can break this down by multiplying each digit of 76 with each digit o... | countdown | e57e79a5-3600-4bd4-b91f-9f4af9cf3c7d |
[
{
"content": "What is 37 times 923?",
"role": "user"
},
{
"content": "<think>\nStep 1: I need to multiply 37 and 923 using the fft_multiplication method. This means breaking both numbers into digits and multiplying each digit of one number with each digit of the other.\n\nStep 2: Let's identify the ... | countdown | b24eb381-3923-41ba-8ad1-fe8e68d30b72 |
[
{
"content": "What is 95 times 142?",
"role": "user"
},
{
"content": "<think>\nStep 1: I need to find the product of 95 and 142 using a structured approach. Let me break this down into clear subgoals.\n\nSubgoal 1: Break down the numbers into individual digits.\n- 95 = 9 tens + 5 ones\n- 142 = 1 hun... | countdown | 071032bb-a3fc-4ec3-bb6d-10b899275765 |
[
{
"content": "What is 85 times 715?",
"role": "user"
},
{
"content": "<think>\nStep 1: I need to compute the product of 85 and 715 using structured decomposition.\n\nSubgoal 1: Break down the numbers into individual digits.\n- 85 = 8 tens + 5 ones\n- 715 = 7 hundreds + 1 ten + 5 ones\n\nSubgoal 2: C... | countdown | 0d30f8ea-6dc9-48bc-b968-d9f200492761 |
[
{
"content": "What is 75 times 830?",
"role": "user"
},
{
"content": "<think>\nStep 1: I need to multiply 75 × 830. Let me break down the problem into subgoals.\n\nSubgoal 1: Break down the numbers into individual digits.\n- 75 = 7 tens + 5 ones\n- 830 = 8 hundreds + 3 tens + 0 ones\n\nSubgoal 2: Pe... | countdown | b7cfd67e-f17e-4523-afa6-9a792e56e4a9 |
[
{
"content": "What is 74 times 443?",
"role": "user"
},
{
"content": "<think>\nStep 1: I need to multiply 74 × 443. Let me break this down into a structured approach.\n\nSubgoal 1: Break down the numbers into individual digits.\n- First number: 74 = 7 tens + 4 ones\n- Second number: 443 = 4 hundreds... | countdown | 92e334a7-8351-44bd-b23a-380842c9b188 |
[
{
"content": "What is 44 times 897?",
"role": "user"
},
{
"content": "<think>\nStep 1: I need to multiply 44 × 897. I'll break this down using the FFT multiplication method by multiplying each digit of 44 with each digit of 897 and then combining the results properly.\n\nStep 2: Let me identify the ... | countdown | 45a424b6-1ead-4d9e-84a7-01ccd9d323a6 |
[
{
"content": "What is 25 times 806?",
"role": "user"
},
{
"content": "<think>\nStep 1: I need to compute the product of 25 and 806 using the digit-by-digit multiplication approach.\n\nStep 2: First, let me break down the numbers into individual digits.\n25 = 2 (tens place) and 5 (ones place)\n806 = ... | countdown | f0a42577-b59c-46c9-9913-94ce09abfba2 |
[
{
"content": "What is 94 times 837?",
"role": "user"
},
{
"content": "<think>\nStep 1: I need to multiply 94 × 837. I'll use the FFT multiplication method by breaking down the numbers and working with each digit.\n\nStep 2: Let me identify the digits in each number:\n- First number: 94 has digits 9 ... | countdown | caa0124e-d6d1-4676-8f41-90739dccc9c7 |
[
{
"content": "What is 83 times 777?",
"role": "user"
},
{
"content": "<think>\nStep 1: I need to multiply 83 × 777. I'll break this down into subgoals.\n\nSubgoal 1: Understand the problem and determine the approach.\n- I have two numbers: 83 and 777\n- I'll multiply each digit of 83 with each digit... | countdown | cdd41dba-98a2-40f6-b9a3-aa33d257ea16 |
[
{
"content": "What is 98 times 114?",
"role": "user"
},
{
"content": "<think>\nStep 1: I need to multiply 98 × 114 using the FFT multiplication method, which involves breaking down the numbers into digits and multiplying them.\n\nSubgoal 1: Break down the numbers into their individual digits.\n- 98 ... | countdown | 298bcf89-6f06-4041-aa08-3e3b622888b9 |
[
{
"content": "What is 75 times 977?",
"role": "user"
},
{
"content": "<think>\nStep 1: I need to find the product of 75 and 977 using the FFT multiplication approach, which involves breaking down the numbers into digits and multiplying them systematically.\n\nStep 2: Let's break down the numbers int... | countdown | 1f6c8e30-2258-4d8f-b843-79e6d7f11d52 |
[
{
"content": "What is 99 times 922?",
"role": "user"
},
{
"content": "<think>\nStep 1: I need to multiply 99 × 922. Let me break this down into a clear approach.\n\nSubgoal 1: Understand the problem.\nI need to multiply 99 by 922. I can use the standard multiplication algorithm, breaking it down dig... | countdown | ed31d84c-9f11-4118-ad87-941e89b7b580 |
[
{
"content": "What is 70 times 472?",
"role": "user"
},
{
"content": "<think>\nStep 1: I need to multiply 70 × 472. Let me break this down into subgoals.\n\nSubgoal 1: Understand the problem structure.\n- I have 70 (which is 7 × 10) multiplying 472\n- I can break this down by either:\n a) Multiplyi... | countdown | 190d2b01-77de-4646-924b-0df760bb5003 |
[
{
"content": "What is 26 times 765?",
"role": "user"
},
{
"content": "<think>\nStep 1: I need to multiply 26 × 765 using the fft_multiplication method. This involves breaking down the numbers into digits and multiplying them systematically.\n\nStep 2: Let me break down the numbers:\n- First number: ... | countdown | 34be65ea-3437-44bb-8b2a-a4bac1fab3f6 |
[
{
"content": "What is 24 times 535?",
"role": "user"
},
{
"content": "<think>\nStep 1: I need to multiply 24 × 535. Let me break this down into subgoals.\n\nSubgoal 1: Understand the problem structure.\n- I have two numbers: 24 and 535\n- I need to find their product using a clear step-by-step appro... | countdown | f4c14bdb-5de8-4959-8b15-bbb15181a8b5 |
[
{
"content": "What is 21 times 900?",
"role": "user"
},
{
"content": "<think>\nStep 1: I need to multiply 21 × 900. Let me break this down into a structured approach.\n\nSubgoal 1: Understand the problem and identify a strategy.\n- I have 21 and 900 to multiply\n- I can use the distributive property... | countdown | 31bb1f43-45b9-4d3f-9118-a7b64e2e1678 |
[
{
"content": "What is 99 times 250?",
"role": "user"
},
{
"content": "<think> Step 1: I need to find the product of 99 and 250 using the fft_multiplication method. This involves breaking down the numbers into digits, multiplying them, and summing the results. </think>\n\n<think> Step 2: Let me break... | countdown | 52782465-7c4a-4d62-beac-089e0e526660 |
[
{
"content": "What is 94 times 144?",
"role": "user"
},
{
"content": "<think>\nStep 1: I need to multiply 94 × 144 using the FFT multiplication approach, which involves breaking down the numbers into digits and multiplying each combination.\n\nStep 2: Let me break down the numbers:\n- First number: ... | countdown | c5e693dd-7d01-496c-b705-a08ea5bb7340 |
[
{
"content": "What is 95 times 625?",
"role": "user"
},
{
"content": "<think>\nStep 1: I need to multiply 95 × 625 using a structured approach. Let me break this down into subgoals.\n\nSubgoal 1: Break down the numbers into individual digits.\n- 95 = 9 tens + 5 ones\n- 625 = 6 hundreds + 2 tens + 5 ... | countdown | 845eea15-05f1-4807-89b7-fcb10d002277 |
[
{
"content": "What is 63 times 414?",
"role": "user"
},
{
"content": "<think>\nStep 1: I need to multiply 63 × 414. Let me break this down into subgoals.\n\nSubgoal 1: Break down the numbers into individual digits.\n- First number: 63 = 6 tens + 3 ones\n- Second number: 414 = 4 hundreds + 1 ten + 4 ... | countdown | 7f2a2c18-97b0-4ec4-a519-3e11235265b8 |
[
{
"content": "What is 71 times 850?",
"role": "user"
},
{
"content": "<think>\nStep 1: I need to multiply 71 × 850. Let me break this down into a structured approach.\n\nSubgoal 1: Understand the numbers and decompose them.\n- The first number is 71, which can be written as 7 tens + 1 one\n- The sec... | countdown | 4d417c36-fff5-4fd1-89b8-f0a54ca80214 |
[
{
"content": "What is 17 times 763?",
"role": "user"
},
{
"content": "<think>\nStep 1: I need to multiply 17 × 763 using a structured approach. Let me break down the numbers.\n- First number: 17 = 1 ten + 7 ones\n- Second number: 763 = 7 hundreds + 6 tens + 3 ones\n\nStep 2: Let me set up subgoals f... | countdown | ce763f5c-652e-494f-9e9c-d5a0e6f641fa |
[
{
"content": "What is 29 times 985?",
"role": "user"
},
{
"content": "<think>\nStep 1: Let's break down this multiplication problem. I need to multiply 29 by 985.\n\nSubgoal 1: Break down the numbers into digits.\n- First number: 29 = 2 tens + 9 ones\n- Second number: 985 = 9 hundreds + 8 tens + 5 o... | countdown | 17e76f49-d148-4807-9f4a-ed884316d500 |
[
{
"content": "What is 80 times 235?",
"role": "user"
},
{
"content": "<think>\nStep 1: I need to multiply 80 × 235. I'll break this down into a more manageable form.\n\nSubgoal 1: Rewrite the problem to make it easier.\nI notice that 80 = 8 × 10, so I can multiply 8 × 235 first, then multiply by 10.... | countdown | 739ca50b-163d-4c65-896f-04f11c7f7b52 |
[
{
"content": "What is 66 times 316?",
"role": "user"
},
{
"content": "<think>\nStep 1: I need to compute the product of 66 and 316 using the FFT multiplication method. This method involves breaking down the numbers into digits, multiplying each digit combination, and then combining the results.\n\nS... | countdown | eec6688e-7a62-48f7-bfeb-87b566c4c72e |
[
{
"content": "What is 86 times 798?",
"role": "user"
},
{
"content": "<think>\nStep 1: I need to multiply 86 × 798. I'll approach this using a structured method, breaking down the problem.\n\nSubgoal 1: Break down the numbers into digits.\n- First number: 86 = 8 tens + 6 ones\n- Second number: 798 =... | countdown | 8850154f-4fc5-4558-8811-751c9702b591 |
[
{
"content": "What is 13 times 750?",
"role": "user"
},
{
"content": "<think>\nStep 1: I need to multiply 13 × 750. Let me break this down into a manageable approach.\n\nSubgoal 1: Break down the numbers into individual digits.\n- 13 = 1 (tens place) and 3 (ones place)\n- 750 = 7 (hundreds place), 5... | countdown | dc8ca5c2-1486-4357-8b7a-6e05de2d08ca |
[
{
"content": "What is 20 times 972?",
"role": "user"
},
{
"content": "<think>\nStep 1: I need to multiply 20 × 972. I'll approach this using a clear strategy.\n\nSubgoal 1: Break down the multiplication into simpler parts.\nSince 20 = 2 × 10, I can first multiply 972 by 2, and then multiply the resu... | countdown | 5e3f1b0b-39e1-4660-88b0-71a7fbf0f693 |
[
{
"content": "What is 37 times 636?",
"role": "user"
},
{
"content": "<think>\nStep 1: I need to multiply 37 × 636 using a structured approach. Let me break this down by digits.\n\nSubgoal 1: Break down the multiplication into smaller parts.\n- I'll multiply 7 (the ones digit of 37) with each digit ... | countdown | 0c67d7a2-f856-4483-b5d1-99605ec7605e |
[
{
"content": "What is 89 times 835?",
"role": "user"
},
{
"content": "<think>\nStep 1: I'll compute the product of 89 and 835 using the fft_multiplication method, which involves breaking down the numbers into individual digits, multiplying each digit, and summing the results.\n\nSubgoal 1: Break dow... | countdown | 8702c794-c2de-4735-bb46-6545d237bbb6 |
[
{
"content": "What is 43 times 528?",
"role": "user"
},
{
"content": "<think>\nStep 1: I need to multiply 43 × 528 using the FFT multiplication method. This involves multiplying each digit of the first number with each digit of the second number, and then adding the results with appropriate position... | countdown | ac13f608-4cd0-40bc-879f-ee41f2f7911a |
End of preview. Expand in Data Studio
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