question string | solution string | model_responses sequence | is_model_response_correct sequence |
|---|---|---|---|
What is the solution to the long multiplication equation below?
468474295138 x 549622370782
Think step by step. | 257483952744173935857916 | [
"### Understanding the Problem\n\nFirst, I need to understand what the problem is asking. We have two very large numbers:\n\n- **Multiplicand (M):** 468,474,295,138\n- **Multiplier (N):** 549,622,370,782\n\nThe goal is to find the product of these two numbers, i.e., M × N.\n\n### Breaking It Down: The Karatsuba Alg... | [
false,
false,
true,
false,
false,
false
] |
What is the solution to the long multiplication equation below?
606369443979 x 932406292495
Think step by step. | 565382685142713990637605 | [
"### Understanding the Problem\n\nFirst, I need to understand what the problem is asking. We have two very large numbers:\n\n- **Multiplicand (M):** 606,369,443,979\n- **Multiplier (N):** 932,406,292,495\n\nThe goal is to find the product of these two numbers, i.e., M × N.\n\n### Breaking Down the Problem\n\nMultip... | [
true,
true,
true,
true,
true,
true
] |
What is the solution to the long multiplication equation below?
655201995859 x 961112225959
Think step by step. | 629722648692822990303781 | [
"### Understanding the Problem\n\nFirst, I need to understand what the problem is asking. It's a multiplication of two very large numbers:\n\n- **Multiplicand (A):** 655,201,995,859\n- **Multiplier (B):** 961,112,225,959\n\nThe goal is to find the product of A and B, i.e., A × B.\n\n### Breaking Down the Problem\n\... | [
false,
false,
false,
false,
false,
false
] |
What is the solution to the long multiplication equation below?
851533585653 x 598003545713
Think step by step. | 509220103514198586455589 | [
"### Understanding the Problem\n\nFirst, I need to understand what the problem is asking. It's a multiplication of two very large numbers:\n\n- **Multiplicand (M):** 851,533,585,653\n- **Multiplier (N):** 598,003,545,713\n\nThe goal is to find the product \\( M \\times N \\).\n\n### Breaking It Down: Using the Dist... | [
true,
true,
true,
true,
true,
true
] |
What is the solution to the long multiplication equation below?
845276163170 x 658995925941
Think step by step. | 557033547824069951792970 | [
"### Understanding the Problem\n\nFirst, I need to understand what the problem is asking. It's a multiplication of two very large numbers:\n\n- **Multiplicand**: 845,276,163,170\n- **Multiplier**: 658,995,925,941\n\nThe goal is to find the product of these two numbers. Given their size, performing standard long mul... | [
false,
true,
false,
false,
false,
true
] |
What is the solution to the long multiplication equation below?
593655419598 x 130312704899
Think step by step. | 77360843505766195210602 | [
"### Understanding the Problem\n\nFirst, I need to understand what's being asked. The problem presents a long multiplication equation:\n\n**593,655,419,598 × 130,312,704,899**\n\nAt first glance, both numbers are enormous—12-digit numbers. Multiplying them directly seems daunting, but perhaps breaking them down usi... | [
false,
false,
false,
false,
false,
false
] |
What is the solution to the long multiplication equation below?
312512318448 x 599289404802
Think step by step. | 187285321315995004387296 | [
"### Understanding the Problem\n\nThe task is to find the product of two very large numbers:\n\n- **Multiplicand (M):** 312,512,318,448\n- **Multiplier (N):** 599,289,404,802\n\nDirectly multiplying these numbers is complex due to their size, so breaking them down using the **Distributive Property of Multiplication... | [
false,
false,
false,
false,
false,
false
] |
What is the solution to the long multiplication equation below?
873656183224 x 428521035204
Think step by step. | 374380052047523978217696 | [
"### Understanding the Problem\n\nFirst, I need to understand what the problem is asking. It's a multiplication of two very large numbers:\n\n- **Multiplicand**: 873,656,183,224\n- **Multiplier**: 428,521,035,204\n\nThe goal is to find the product of these two numbers. Directly multiplying them seems complex, but p... | [
false,
false,
false,
false,
false,
false
] |
What is the solution to the long multiplication equation below?
219832752637 x 171887431938
Think step by step. | 37786487306635527520506 | [
"### Understanding the Problem\n\nFirst, I need to understand what's being asked. The problem presents a long multiplication equation:\n\n**219,832,752,637 × 171,887,431,938**\n\nAt first glance, both numbers are enormous—12-digit numbers. Multiplying them directly seems daunting, but perhaps breaking it down using... | [
false,
false,
true,
true,
false,
true
] |
What is the solution to the long multiplication equation below?
883158551821 x 522556187928
Think step by step. | 461499966175594802616888 | [
"### Understanding the Problem\n\nFirst, I need to understand what the problem is asking. It's a multiplication of two very large numbers:\n\n- **First number (Multiplicand)**: 883,158,551,821\n- **Second number (Multiplier)**: 522,556,187,928\n\nThe goal is to find the product of these two numbers. Directly multip... | [
true,
true,
true,
true,
true,
true
] |
What is the solution to the long multiplication equation below?
373511433272 x 160718241559
Think step by step. | 60030100757657605751048 | [
"### Understanding the Problem\n\nFirst, I need to understand what the problem is asking. It's a multiplication of two very large numbers:\n\n- **Multiplicand**: 373,511,433,272\n- **Multiplier**: 160,718,241,559\n\nThe goal is to find the product of these two numbers. Directly multiplying them seems complex, but p... | [
false,
false,
false,
false,
false,
false
] |
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