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Answer the following problem. Explain your reasoning step by step. When you are finished, give your answer in this format: <answer>(your answer)</answer>.
# Problem
Using the numbers in the list [56, 22, 98, 71], create an equation that equals 853. You can use basic arithmetic operations (+, -, *, /) and each number can only be used once. Your solution should include a series of steps "Step X:" where each step is a mathematical operation and the final step ultimately leads to the target number or it should be a single equation that results in the target.
Give your answer in the following format:
<answer>
(your answer)
</answer>
Where "(your answer)" is the list of steps to reach the target number or it should be a single equation that results in the target.
For example:
If the list of numbers was [1, 2, 3] and the target was 1, you could write:
<answer>
Step 1: 1 + 2 = 3
Step 2: 3 / 3 = 1
</answer>
or
<answer>
(1 + 2) / 3
</answer>
Let's think step by step. | 22*(98 - 56) - 71 | countdown_4arg | countdown | [
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"content": "Given the prompt and model response below (which is a response to that prompt), extract for every solution attempt (this includes partial attempts that the model tries and finds are incorrect and continues \"thinking\") and report all the numbers used in that solution attempt.\n\nFor example, if the models response was \n\"10 * 5 + 24 - 3 = 71, that's too low let's try\n\n10 * 6 = 60 + 24 = 84 - 3 = 81, looks like this ...\"\n\nFor these two lines you would extract \n[10, 5, 24, 3]\nand\n[10, 6, 24, 3]\nrespectively.\n\nHere is the prompt used and the response:\n\n# PROMPT\nAnswer the following problem. Explain your reasoning step by step. When you are finished, give your answer in this format: <answer>(your answer)</answer>.\n\n# Problem\nUsing the numbers in the list [56, 22, 98, 71], create an equation that equals 853. You can use basic arithmetic operations (+, -, *, /) and each number can only be used once. Your solution should include a series of steps \"Step X:\" where each step is a mathematical operation and the final step ultimately leads to the target number or it should be a single equation that results in the target.\n\nGive your answer in the following format:\n<answer>\n(your answer)\n</answer>\n\nWhere \"(your answer)\" is the list of steps to reach the target number or it should be a single equation that results in the target. \n\nFor example:\nIf the list of numbers was [1, 2, 3] and the target was 1, you could write:\n<answer>\nStep 1: 1 + 2 = 3\nStep 2: 3 / 3 = 1\n</answer>\n\nor \n\n<answer>\n(1 + 2) / 3\n</answer>\n\nLet's think step by step.\n\n# RESPONSE\nLINE 1 >> <think>\nLINE 2 >> <sample>\nLINE 3 >> To solve this problem, we need to use the numbers 56, 22, 98, and 71 exactly once and combine them using basic arithmetic operations to get the target number 853.\nLINE 4 >> \nLINE 5 >> Let's explore different combinations:\nLINE 6 >> \nLINE 7 >> **Step 1:** First, let's try adding all four numbers together.\nLINE 8 >> \\[ 56 + 22 + 98 + 71 = 247 \\]\nLINE 9 >> \nLINE 10 >> This result is not close to 853, so let's move on to other combinations.\nLINE 11 >> \nLINE 12 >> **Step 2:** Now, let's try multiplying two numbers first and then adding the remaining two.\nLINE 13 >> \\[ (56 * 22) + 98 + 71 = 1232 + 98 + 71 = 1301 \\]\nLINE 14 >> \nLINE 15 >> This also doesn't work.\nLINE 16 >> \nLINE 17 >> **Step 3:** Let's try subtracting one number from another and then adding the others.\nLINE 18 >> \\[ (98 - 22) * 56 + 71 = 76 * 56 + 71 = 4256 + 71 = 4327 \\]\nLINE 19 >> \nLINE 20 >> This is too large.\nLINE 21 >> \nLINE 22 >> **Step 4:** Finally, let's try dividing one number by another and then multiplying by the rest.\nLINE 23 >> \\[ (98 / 22) * 56 + 71 = 4.4545... * 56 + 71 \\]\nLINE 24 >> Since we can't use fractions in this context, let's try rounding down for simplicity.\nLINE 25 >> \\[ 4 * 56 + 71 = 224 + 71 = 295 \\]\nLINE 26 >> \nLINE 27 >> This is still not close enough.\nLINE 28 >> \nLINE 29 >> After trying several combinations, none of them directly lead to 853. Let's re-evaluate our approach.\nLINE 30 >> \nLINE 31 >> **Step 5:** Let's try a combination involving subtraction again but in a different way.\nLINE 32 >> \\[ 98 * (56 - 22) + 71 = 98 * 34 + 71 = 3332 + 71 = 3403 \\]\nLINE 33 >> \nLINE 34 >> This is very close!\nLINE 35 >> \nLINE 36 >> Therefore, the correct equation is:\nLINE 37 >> \\[ (98 * (56 - 22)) + 71 = 853 \\]\nLINE 38 >> \nLINE 39 >> So, our final answer is:\nLINE 40 >> <answer>\nLINE 41 >> (98 * (56 - 22)) + 71\nLINE 42 >> </answer>\nLINE 43 >> </sample>\nLINE 44 >> <reflect>\nLINE 45 >> Let us verify this answer:\nLINE 46 >> \nLINE 47 >> First, 98 * (56 - 22) = 98 * 34 = 3332, then 3332 + 71 = 3403. This is not equal to 853, so the answer is incorrect.\nLINE 48 >> \nLINE 49 >> <verdict>\nLINE 50 >> Incorrect\nLINE 51 >> </verdict>\nLINE 52 >> </reflect>\nLINE 53 >> I should check my response again.\nLINE 54 >> <sample>\nLINE 55 >> To solve this problem, we need to use the numbers 56, 22, 98, and 71 exactly once and combine them using basic arithmetic operations to achieve the target number 853.\nLINE 56 >> \nLINE 57 >> Let's explore different combinations:\nLINE 58 >> \nLINE 59 >> **Option 1:** \nLINE 60 >> - Step 1: 98 * 22 = 2156\nLINE 61 >> - Step 2: 2156 - 56 = 2090\nLINE 62 >> \nLINE 63 >> This does not equal 853.\nLINE 64 >> \nLINE 65 >> **Option 2:** \nLINE 66 >> - Step 1: 98 * 71 = 6938\nLINE 67 >> - Step 2: 6938 - 56 = 6882\nLINE 68 >> \nLINE 69 >> This also does not equal 853.\nLINE 70 >> \nLINE 71 >> **Option 3:** \nLINE 72 >> - Step 1: 56 * 22 = 1232\nLINE 73 >> - Step 2: 1232 - 98 = 1134\nLINE 74 >> \nLINE 75 >> This still doesn't work.\nLINE 76 >> \nLINE 77 >> **Option 4:** \nLINE 78 >> - Step 1: 56 * 71 = 3976\nLINE 79 >> - Step 2: 3976 - 22 = 3954\nLINE 80 >> \nLINE 81 >> This gets us closer but not quite there either.\nLINE 82 >> \nLINE 83 >> **Option 5:** \nLINE 84 >> - Step 1: 71 * 22 = 1562\nLINE 85 >> - Step 2: 1562 - 56 = 1506\nLINE 86 >> \nLINE 87 >> Not working either.\nLINE 88 >> \nLINE 89 >> **Option 6:** \nLINE 90 >> - Step 1: 56 + 22 = 78\nLINE 91 >> - Step 2: 78 * 98 = 7744\nLINE 92 >> \nLINE 93 >> Still far off.\nLINE 94 >> \nLINE 95 >> **Option 7:** \nLINE 96 >> - Step 1: 56 + 98 = 154\nLINE 97 >> - Step 2: 154 * 22 = 3388\nLINE 98 >> \nLINE 99 >> Very close!\nLINE 100 >> \nLINE 101 >> **Option 8:** \nLINE 102 >> - Step 1: 22 + 98 = 120\nLINE 103 >> - Step 2: 120 * 56 = 6720\nLINE 104 >> \nLINE 105 >> Much too high.\nLINE 106 >> \nLINE 107 >> **Option 9:** \nLINE 108 >> - Step 1: 71 + 22 = 93\nLINE 109 >> - Step 2: 93 * 56 = 5296\nLINE 110 >> \nLINE 111 >> Extremely high.\nLINE 112 >> \nLINE 113 >> **Option 10:** \nLINE 114 >> - Step 1: 98 - 22 = 76\nLINE 115 >> - Step 2: 76 * 56 = 4256\nLINE 116 >> \nLINE 117 >> Too low.\nLINE 118 >> \nLINE 119 >> **Option 11:** \nLINE 120 >> - Step 1: 98 - 56 = 42\nLINE 121 >> - Step 2: 42 * 22 = 924\nLINE 122 >> \nLINE 123 >> Almost there!\nLINE 124 >> \nLINE 125 >> **Option 12:** \nLINE 126 >> - Step 1: 56 - 22 = 34\nLINE 127 >> - Step 2: 34 * 98 = 3332\nLINE 128 >> \nLINE 129 >> Close but not exact.\nLINE 130 >> \nLINE 131 >> **Option 13:** \nLINE 132 >> - Step 1: 71 - 22 = 49\nLINE 133 >> - Step 2: 49 * 56 = 2744\nLINE 134 >> \nLINE 135 >> Way off.\nLINE 136 >> \nLINE 137 >> **Option 14:** \nLINE 138 >> - Step 1: 71 - 98 = -27\nLINE 139 >> - Step 2: -27 * 56 = -1512\nLINE 140 >> \nLINE 141 >> Negative result.\nLINE 142 >> \nLINE 143 >> The best option seems to be **Option 11**, which uses addition followed by multiplication:\nLINE 144 >> \nLINE 145 >> <answer>\nLINE 146 >> (98 - 22) * 56\nLINE 147 >> </answer>\nLINE 148 >> </sample>\nLINE 149 >> <reflect>\nLINE 150 >> Let us verify this answer:\nLINE 151 >> \nLINE 152 >> First, 98 - 22 = 76, then 76 * 56 = 4256. This is not equal to 853, so the answer is incorrect.\nLINE 153 >> \nLINE 154 >> <verdict>\nLINE 155 >> Incorrect\nLINE 156 >> </verdict>\nLINE 157 >> </reflect>\nLINE 158 >> Oops, I see my mistake now!\nLINE 159 >> <sample>\nLINE 160 >> To solve this problem, we need to use the given numbers [56, 22, 98, 71] exactly once and combine them with basic arithmetic operations (+, -, *, /) to achieve the target number 853.\nLINE 161 >> \nLINE 162 >> Let's explore possible combinations:\nLINE 163 >> \nLINE 164 >> **Option A:** \nLINE 165 >> Step 1: 98 * 71 = 6918 \nLINE 166 >> Step 2: 6918 - 56 = 6862 \nLINE 167 >> \nLINE 168 >> This option doesn't work because it exceeds the target number.\nLINE 169 >> \nLINE 170 >> **Option B:** \nLINE 171 >> Step 1: 98 * 22 = 2156 \nLINE 172 >> Step 2: 2156 - 56 = 2090 \nLINE 173 >> \nLINE 174 >> This option also exceeds the target number.\nLINE 175 >> \nLINE 176 >> **Option C:** \nLINE 177 >> Step 1: 56 * 71 = 3976 \nLINE 178 >> Step 2: 3976 - 22 = 3954 \nLINE 179 >> \nLINE 180 >> This option is close but still below the target number.\nLINE 181 >> \nLINE 182 >> **Option D:** \nLINE 183 >> Step 1: 56 * 22 = 1232 \nLINE 184 >> Step 2: 1232 + 98 = 1330 \nLINE 185 >> \nLINE 186 >> This option is very close but still falls short of the target number.\nLINE 187 >> \nLINE 188 >> **Option E:** \nLINE 189 >> Step 1: 22 * 71 = 1562 \nLINE 190 >> Step 2: 1562 - 56 = 1506 \nLINE 191 >> \nLINE 192 >> This option exceeds the target number significantly.\nLINE 193 >> \nLINE 194 >> **Option F:** \nLINE 195 >> Step 1: 56 + 22 = 78 \nLINE 196 >> Step 2: 78 + 98 = 176 \nLINE 197 >> Step 3: 176 + 71 = 247 \nLINE 198 >> \nLINE 199 >> This option combines all three numbers correctly but yields less than the target number.\nLINE 200 >> \nLINE 201 >> **Option G:** \nLINE 202 >> Step 1: 98 - 56 = 42 \nLINE 203 >> Step 2: 42 * 22 = 924 \nLINE 204 >> Step 3: 924 + 71 = 1095 \nLINE 205 >> \nLINE 206 >> This option exceeds the target number again.\nLINE 207 >> \nLINE 208 >> **Option H:** \nLINE 209 >> Step 1: 56 - 22 = 34 \nLINE 210 >> Step 2: 34 * 98 = 3332 \nLINE 211 >> Step 3: 3332 - 71 = 3261 \nLINE 212 >> \nLINE 213 >> This option exceeds the target number excessively.\nLINE 214 >> \nLINE 215 >> **Option I:** \nLINE 216 >> Step 1: 71 - 56 = 15 \nLINE 217 >> Step 2: 15 * 22 = 330 \nLINE 218 >> Step 3: 330 + 98 = 428 \nLINE 219 >> \nLINE 220 >> This option combines some numbers well but falls short.\nLINE 221 >> \nLINE 222 >> **Option J:** \nLINE 223 >> Step 1: 22 - 56 = -34 \nLINE 224 >> Step 2: -34 * 98 = -3332 \nLINE 225 >> Step 3: -3332 + 71 = -3261 \nLINE 226 >> \nLINE 227 >> This option yields a negative result which isn't valid.\nLINE 228 >> \nLINE 229 >> **Option K:** \nLINE 230 >> Step 1: 56 + 98 = 154 \nLINE 231 >> Step 2: 154 * 22 = 3388 \nLINE 232 >> Step 3: 3388 - 71 = 3317 \nLINE 233 >> \nLINE 234 >> This option exceeds the target number yet again.\nLINE 235 >> \nLINE 236 >> **Option L:** \nLINE 237 >> Step 1: 98 - 22 = 76 \nLINE 238 >> Step 2: 76 * 56 = 4256 \nLINE 239 >> Step 3: 4256 - 71 = 4185 \nLINE 240 >> \nLINE 241 >> This option yields a much larger number than needed.\nLINE 242 >> \nLINE 243 >> **Option M:** \nLINE 244 >> Step 1: 56 * 22 = 1232 \nLINE 245 >> Step 2: 1232 - 98 = 1134 \nLINE 246 >> \nLINE 247 >> This option gets extremely close but falls short.\nLINE 248 >> \nLINE 249 >> **Option N:** \nLINE 250 >> Step 1: 56 + 98 = 154 \nLINE 251 >> Step 2: 154 * 22 = 3388 \nLINE 252 >> Step 3: 3388 - 71 = 3317 \nLINE 253 >> \nLINE 254 >> This option matches closely but is slightly above the target.\nLINE 255 >> \nLINE 256 >> **Option O:** \nLINE 257 >> Step 1: 22 * 71 = 1562 \nLINE 258 >> Step 2: 1562 - 56 = 1506 \nLINE 259 >> \nLINE 260 >> This option exceeds the target number drastically.\nLINE 261 >> \nLINE 262 >> Given these options, the most accurate match is Option N:\nLINE 263 >> \nLINE 264 >> <answer>\nLINE 265 >> (56 * 22) - 98\nLINE 266 >> </answer>\nLINE 267 >> </sample>\nLINE 268 >> <reflect>\nLINE 269 >> Let us verify this answer:\nLINE 270 >> \nLINE 271 >> First, 56 * 22 = 1232, then 1232 - 98 = 1134. The answer does not equal 853.\nLINE 272 >> \nLINE 273 >> Therefore,\nLINE 274 >> \nLINE 275 >> <verdict>\nLINE 276 >> Incorrect\nLINE 277 >> </verdict>\nLINE 278 >> </reflect>\nLINE 279 >> My previous answer was incorrect. I'll wait for new information before responding again.\nLINE 280 >> <sample>\nLINE 281 >> To solve this problem, we need to use the given numbers [56, 22, 98, 71] exactly once and find an equation that equals 853. We will start exploring potential solutions through various combinations of addition, subtraction, multiplication, and division.\nLINE 282 >> \nLINE 283 >> Let's begin:\nLINE 284 >> \nLINE 285 >> **Step 1:** Start with combining two numbers from the list.\nLINE 286 >> - 56 * 98 = 5408\nLINE 287 >> \nLINE 288 >> Now we have a large number (5408). Next, we'll subtract another number to get closer to our target.\nLINE 289 >> - 5408 - 22 = 5386\nLINE 290 >> \nLINE 291 >> We're getting close, but not quite there yet. Let's continue with more calculations.\nLINE 292 >> - 5386 - 71 = 5315\nLINE 293 >> \nLINE 294 >> Finally, we've reached a point where we can add the last number to make up for any discrepancies.\nLINE 295 >> - 5315 + 22 = 5337\nLINE 296 >> \nLINE 297 >> However, this does not equal 853. Therefore, our initial attempt did not yield the desired result. Let's try a different strategy.\nLINE 298 >> \nLINE 299 >> **Alternative Solution:**\nLINE 300 >> \nLINE 301 >> Instead of starting with multiplication, let's try adding three numbers together.\nLINE 302 >> - 56 + 98 + 71 = 225\nLINE 303 >> \nLINE 304 >> This gives us a smaller sum. Now, let's see if we can adjust it further.\nLINE 305 >> - 225 - 22 = 203\nLINE 306 >> \nLINE 307 >> And finally,\nLINE 308 >> - 203 + 98 = 301\nLINE 309 >> \nLINE 310 >> This still doesn't equal 853. It looks like none of the straightforward approaches worked perfectly. Let's consider alternative methods such as subtraction or division.\nLINE 311 >> \nLINE 312 >> **Subtraction Approach:**\nLINE 313 >> \nLINE 314 >> Starting with subtraction might provide better results.\nLINE 315 >> - 98 - 22 = 76\nLINE 316 >> \nLINE 317 >> Then,\nLINE 318 >> - 76 - 56 = 20\nLINE 319 >> \nLINE 320 >> And,\nLINE 321 >> - 20 - 71 = -51\nLINE 322 >> \nLINE 323 >> Again, this doesn't seem promising either. \nLINE 324 >> \nLINE 325 >> **Division Approach:**\nLINE 326 >> \nLINE 327 >> Dividing two numbers might offer insights into solving the problem.\nLINE 328 >> - 98 ÷ 22 ≈ 4.45\nLINE 329 >> \nLINE 330 >> Multiplying back,\nLINE 331 >> - 4.45 × 22 ≈ 98\nLINE 332 >> \nLINE 333 >> Adding one more number,\nLINE 334 >> - 98 + 56 = 154\nLINE 335 >> \nLINE 336 >> This is still far away from our goal. Given the complexity involved, perhaps we need to rethink how we're approaching the task.\nLINE 337 >> \nLINE 338 >> In conclusion, after testing multiple strategies, no direct method has led us to 853 using just the provided numbers. Thus, my proposed answer would likely involve creative manipulation of the numbers beyond simple addition/subtraction/multiplication/division.\nLINE 339 >> \nLINE 340 >> Therefore, my final assessment based on available data points is inconclusive due to limitations within the constraints set forth. My next course of action may require revisiting the original question or adjusting its parameters to accommodate additional possibilities.\nLINE 341 >> \nLINE 342 >> <answer>\nLINE 343 >> (56 + 98) * 22 - 71\nLINE 344 >> </answer>\nLINE 345 >> </sample>\nLINE 346 >> <reflect>\nLINE 347 >> Let us verify this answer:\nLINE 348 >> \nLINE 349 >> First, 56 + 98 = 154, then 154 * 22 = 3388, finally 3388 - 71 = 3317. This does not equal 853, so the answer is incorrect.\nLINE 350 >> \nLINE 351 >> <verdict>\nLINE 352 >> Incorrect\nLINE 353 >> </verdict>\nLINE 354 >> </reflect>\nLINE 355 >> Time to review my response again.\nLINE 356 >> <sample>\nLINE 357 >> To solve this problem, we need to use the numbers provided ([56, 22, 98, 71]) exactly once to create an equation that equals 853.\nLINE 358 >> \nLINE 359 >> Let's explore different combinations:\nLINE 360 >> \nLINE 361 >> **Option A**\nLINE 362 >> Step 1: 56 * 98 = 5348\nLINE 363 >> Step 2: 5348 - 22 = 5326\nLINE 364 >> \nLINE 365 >> This option does not equal 853.\nLINE 366 >> \nLINE 367 >> **Option B**\nLINE 368 >> Step 1: 98 * 71 = 6938\nLINE 369 >> Step 2: 6938 - 56 = 6882\nLINE 370 >> \nLINE 371 >> This option also does not equal 853.\nLINE 372 >> \nLINE 373 >> **Option C**\nLINE 374 >> Step 1: 71 * 22 = 1562\nLINE 375 >> Step 2: 1562 - 56 = 1506\nLINE 376 >> \nLINE 377 >> This option is close but not quite right.\nLINE 378 >> \nLINE 379 >> **Option D**\nLINE 380 >> Step 1: 56 * 22 = 1232\nLINE 381 >> Step 2: 1232 + 98 = 1330\nLINE 382 >> \nLINE 383 >> This option is even closer but still not 853.\nLINE 384 >> \nLINE 385 >> **Option E**\nLINE 386 >> Step 1: 98 + 71 = 169\nLINE 387 >> Step 2: 169 * 56 = 9304\nLINE 388 >> \nLINE 389 >> This option is too large compared to our target.\nLINE 390 >> \nLINE 391 >> **Option F**\nLINE 392 >> Step 1: 56 + 98 = 154\nLINE 393 >> Step 2: 154 + 71 = 225\nLINE 394 >> \nLINE 395 >> This option is still too small.\nLINE 396 >> \nLINE 397 >> **Option G**\nLINE 398 >> Step 1: 22 + 71 = 93\nLINE 399 >> Step 2: 93 * 56 = 5168\nLINE 400 >> \nLINE 401 >> This option is extremely large.\nLINE 402 >> \nLINE 403 >> **Option H**\nLINE 404 >> Step 1: 56 - 22 = 34\nLINE 405 >> Step 2: 34 * 98 = 3332\nLINE 406 >> \nLINE 407 >> This option is very close but still not 853.\nLINE 408 >> \nLINE 409 >> **Option I**\nLINE 410 >> Step 1: 98 - 71 = 27\nLINE 411 >> Step 2: 27 * 56 = 1512\nLINE 412 >> \nLINE 413 >> This option is still too small.\nLINE 414 >> \nLINE 415 >> **Option J**\nLINE 416 >> Step 1: 71 - 22 = 49\nLINE 417 >> Step 2: 49 * 56 = 2744\nLINE 418 >> \nLINE 419 >> This option is even bigger than what we were aiming for.\nLINE 420 >> \nLINE 421 >> **Option K**\nLINE 422 >> Step 1: 56 + 98 = 154\nLINE 423 >> Step 2: 154 - 22 = 132\nLINE 424 >> Step 3: 132 + 71 = 203\nLINE 425 >> \nLINE 426 >> This option gets us closer but not quite there.\nLINE 427 >> \nLINE 428 >> **Option L**\nLINE 429 >> Step 1: 22 * 71 = 1562\nLINE 430 >> Step 2: 1562 - 56 = 1506\nLINE 431 >> \nLINE 432 >> This option is similar to Option B but adds extra steps.\nLINE 433 >> \nLINE 434 >> **Option M**\nLINE 435 >> Step 1: 98 * 22 = 2156\nLINE 436 >> Step 2: 2156 - 56 = 2090\nLINE 437 >> \nLINE 438 >> This option is too big.\nLINE 439 >> \nLINE 440 >> **Option N**\nLINE 441 >> Step 1: 56 * 71 = 3976\nLINE 442 >> Step 2: 3976 - 22 = 3954\nLINE 443 >> \nLINE 444 >> This option is very close but still not 853.\nLINE 445 >> \nLINE 446 >> **Option O**\nLINE 447 >> Step 1: 56 / \n\n\n---\n\nPlease extract all partial answer attempts and the numbers used in them.",
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"Answer the following problem. Explain your reasoning step by step. When you are finished, give your(...TRUNCATED) | 93 + 99 + 42 + 20 | countdown_4arg | countdown | [{"content":"Answer the following problem. Explain your reasoning step by step. When you are finishe(...TRUNCATED) | [] | [] | "{\"metadata\": \"{\\\"source_dataset\\\": \\\"countdown\\\", \\\"source_index\\\": 256, \\\"numbers(...TRUNCATED) | test | null | null | null | null | null | null | null | null | null | null | null | null | "{\"source_dataset\": \"countdown\", \"source_index\": 256, \"numbers\": [42, 20, 99, 93], \"target\(...TRUNCATED) | null | null | null | null | null | null | ["<think>\n<sample>\nTo solve this problem, we need to use the numbers 42, 20, 99, and 93 exactly on(...TRUNCATED) | [
false,
false,
false,
false
] | [
"",
"",
"",
""
] | "{\"api_url\": \"http://127.0.0.1:42019/v1\", \"backend\": \"litellm\", \"chat_template_applied\": t(...TRUNCATED) | "{\"backend\": \"litellm\", \"model_name\": \"hosted_vllm/TAUR-dev/M-0918__random_3args_grpo-rl\", \(...TRUNCATED) | [
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false,
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"(99 - 20) * 42",
"(99 + 93) * 20 - 42",
"(99 - 93) * 20 + 42",
"(42 + 99) + 20 - 93"
] | "[{\"extraction_type\": \"final\", \"total_spans_found\": 5, \"non_overlapping_spans\": 5, \"span_st(...TRUNCATED) | "[{\"is_correct\": false, \"error\": \"Expression does not equal stated result\", \"answer_block\": (...TRUNCATED) | [[true,false,false,false,false],[true,false,false,false,false],[true,false,false,false],[true,false,(...TRUNCATED) | [["(42 + 20) + 99 + 93","(99 * 20) - 42","((93 + 20) * 42) - 99","(99 - 42) * 20","(99 - 20) * 42"],(...TRUNCATED) | "[[{\"pattern_used\": \"answer tag\", \"confidence\": 1.0, \"position\": 486, \"span_text\": \"(42 +(...TRUNCATED) | "[[{\"is_correct\": true, \"error\": null, \"answer_block\": \"(42 + 20) + 99 + 93\", \"final_answer(...TRUNCATED) | {"flips_by":[1,1,1,1],"flips_total":4,"num_correct":0,"pass_at_n":0,"percent_correct":0.0,"skill_cou(...TRUNCATED) | 2025-09-24 | [{"content":"Given the prompt and model response below (which is a response to that prompt), extract(...TRUNCATED) | 5 | 0 | ["{\"answer_attempts\": [{\"arguments_used\": [\"42\", \"20\", \"99\", \"93\"], \"operations_used\":(...TRUNCATED) | [
false
] | [
""
] | {"api_url":"","backend":"openai","chat_template_applied":false,"generation_params":{"max_completion_(...TRUNCATED) | {
"backend": "openai",
"model_name": "gpt-5-mini",
"n_responses": 1
} |
"Answer the following problem. Explain your reasoning step by step. When you are finished, give your(...TRUNCATED) | 76*25/2 + 2 | countdown_4arg | countdown | [{"content":"Answer the following problem. Explain your reasoning step by step. When you are finishe(...TRUNCATED) | [] | [] | "{\"metadata\": \"{\\\"source_dataset\\\": \\\"countdown\\\", \\\"source_index\\\": 257, \\\"numbers(...TRUNCATED) | test | null | null | null | null | null | null | null | null | null | null | null | null | "{\"source_dataset\": \"countdown\", \"source_index\": 257, \"numbers\": [2, 2, 25, 76], \"target\":(...TRUNCATED) | null | null | null | null | null | null | ["<think>\n<sample>\nTo solve this problem, we need to use the numbers 2, 2, 25, and 76 exactly once(...TRUNCATED) | [
false,
false,
false,
false
] | [
"",
"",
"",
""
] | "{\"api_url\": \"http://127.0.0.1:42019/v1\", \"backend\": \"litellm\", \"chat_template_applied\": t(...TRUNCATED) | "{\"backend\": \"litellm\", \"model_name\": \"hosted_vllm/TAUR-dev/M-0918__random_3args_grpo-rl\", \(...TRUNCATED) | [
false,
false,
false,
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] | [
"(25 + 2) * 25",
"(76 / 2) * (25 * 38) + 2",
"(25 * 2) * 25",
"(25 * 2) + 76"
] | "[{\"extraction_type\": \"final\", \"total_spans_found\": 5, \"non_overlapping_spans\": 5, \"span_st(...TRUNCATED) | "[{\"is_correct\": false, \"error\": \"Expression does not equal stated result\", \"answer_block\": (...TRUNCATED) | [[false,false,false,false,false],[false,false,false,false,false],[false,false,false,false],[false,fa(...TRUNCATED) | [["Not possible with the given constraints.","(25 / 2) * 76","(25 + 2) * 25","(2 * 76) - 2","(25 + 2(...TRUNCATED) | "[[{\"pattern_used\": \"answer tag\", \"confidence\": 1.0, \"position\": 1647, \"span_text\": \"Not (...TRUNCATED) | "[[{\"is_correct\": false, \"error\": \"Could not evaluate expression\", \"answer_block\": \"Not pos(...TRUNCATED) | {"flips_by":[0,0,0,0],"flips_total":0,"num_correct":0,"pass_at_n":0,"percent_correct":0.0,"skill_cou(...TRUNCATED) | 2025-09-24 | [{"content":"Given the prompt and model response below (which is a response to that prompt), extract(...TRUNCATED) | 6 | 0 | ["{\"answer_attempts\": [{\"arguments_used\": [\"25\", \"2\", \"76\"], \"operations_used\": [\"*\", (...TRUNCATED) | [
false
] | [
""
] | {"api_url":"","backend":"openai","chat_template_applied":false,"generation_params":{"max_completion_(...TRUNCATED) | {
"backend": "openai",
"model_name": "gpt-5-mini",
"n_responses": 1
} |
"Answer the following problem. Explain your reasoning step by step. When you are finished, give your(...TRUNCATED) | 26 + 87 + 25 + 97 | countdown_4arg | countdown | [{"content":"Answer the following problem. Explain your reasoning step by step. When you are finishe(...TRUNCATED) | [] | [] | "{\"metadata\": \"{\\\"source_dataset\\\": \\\"countdown\\\", \\\"source_index\\\": 258, \\\"numbers(...TRUNCATED) | test | null | null | null | null | null | null | null | null | null | null | null | null | "{\"source_dataset\": \"countdown\", \"source_index\": 258, \"numbers\": [87, 25, 97, 26], \"target\(...TRUNCATED) | null | null | null | null | null | null | ["<think>\n<sample>\nTo solve this problem, we need to use the numbers 87, 25, 97, and 26 exactly on(...TRUNCATED) | [
false,
false,
false,
false
] | [
"",
"",
"",
""
] | "{\"api_url\": \"http://127.0.0.1:42019/v1\", \"backend\": \"litellm\", \"chat_template_applied\": t(...TRUNCATED) | "{\"backend\": \"litellm\", \"model_name\": \"hosted_vllm/TAUR-dev/M-0918__random_3args_grpo-rl\", \(...TRUNCATED) | [
true,
false,
false,
false
] | [
"(87 + 25) + 97 + 26",
"(87 + 97) - 25 + 26",
"(No valid equation found)",
"(26 - 25) * 87"
] | "[{\"extraction_type\": \"final\", \"total_spans_found\": 7, \"non_overlapping_spans\": 7, \"span_st(...TRUNCATED) | "[{\"is_correct\": true, \"error\": null, \"answer_block\": \"(87 + 25) + 97 + 26\", \"final_answer\(...TRUNCATED) | [[true,true,false,false,false,true,true],[true,false,false,false,false,false],[true,false,false,fals(...TRUNCATED) | [["(87 + 25) + 97 + 26","(87 + 26) + 25 + 97","(87 + 26) * 25","(87 + 26) * 25 - 25","(26 * 25) - 87(...TRUNCATED) | "[[{\"pattern_used\": \"answer tag\", \"confidence\": 1.0, \"position\": 510, \"span_text\": \"(87 +(...TRUNCATED) | "[[{\"is_correct\": true, \"error\": null, \"answer_block\": \"(87 + 25) + 97 + 26\", \"final_answer(...TRUNCATED) | {"flips_by":[1,1,1,2],"flips_total":5,"num_correct":1,"pass_at_n":1,"percent_correct":0.25,"skill_co(...TRUNCATED) | 2025-09-24 | [{"content":"Given the prompt and model response below (which is a response to that prompt), extract(...TRUNCATED) | 7 | 0 | ["{\"answer_attempts\": [{\"arguments_used\": [\"87\", \"25\", \"97\", \"26\"], \"operations_used\":(...TRUNCATED) | [
false
] | [
""
] | {"api_url":"","backend":"openai","chat_template_applied":false,"generation_params":{"max_completion_(...TRUNCATED) | {
"backend": "openai",
"model_name": "gpt-5-mini",
"n_responses": 1
} |
"Answer the following problem. Explain your reasoning step by step. When you are finished, give your(...TRUNCATED) | 10*58 - 37 + 25 | countdown_4arg | countdown | [{"content":"Answer the following problem. Explain your reasoning step by step. When you are finishe(...TRUNCATED) | [] | [] | "{\"metadata\": \"{\\\"source_dataset\\\": \\\"countdown\\\", \\\"source_index\\\": 259, \\\"numbers(...TRUNCATED) | test | null | null | null | null | null | null | null | null | null | null | null | null | "{\"source_dataset\": \"countdown\", \"source_index\": 259, \"numbers\": [58, 25, 10, 37], \"target\(...TRUNCATED) | null | null | null | null | null | null | ["<think>\n<sample>\nTo solve this problem, we need to use the numbers 58, 25, 10, and 37 exactly on(...TRUNCATED) | [
false,
false,
false,
false
] | [
"",
"",
"",
""
] | "{\"api_url\": \"http://127.0.0.1:42019/v1\", \"backend\": \"litellm\", \"chat_template_applied\": t(...TRUNCATED) | "{\"backend\": \"litellm\", \"model_name\": \"hosted_vllm/TAUR-dev/M-0918__random_3args_grpo-rl\", \(...TRUNCATED) | [
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false,
false,
false
] | [
"((58 + 25) * 10) + 37",
"(37 - 25) * 58 + 10",
"(58 - 25) + 10 + 37",
"(58 + 25) * 10 - 37"
] | "[{\"extraction_type\": \"final\", \"total_spans_found\": 4, \"non_overlapping_spans\": 4, \"span_st(...TRUNCATED) | "[{\"is_correct\": false, \"error\": \"Expression does not equal stated result\", \"answer_block\": (...TRUNCATED) | [[false,false,false,false],[false,false,false,false],[false,false,false,false],[false,false,false,fa(...TRUNCATED) | [["Not Possible","(58 + 37) * (10 - 25)","(58 + 37) * 10 - 25","((58 + 25) * 10) + 37"],["Not achiev(...TRUNCATED) | "[[{\"pattern_used\": \"answer tag\", \"confidence\": 1.0, \"position\": 1998, \"span_text\": \"Not (...TRUNCATED) | "[[{\"is_correct\": false, \"error\": \"Could not evaluate expression\", \"answer_block\": \"Not Pos(...TRUNCATED) | {"flips_by":[0,0,0,0],"flips_total":0,"num_correct":0,"pass_at_n":0,"percent_correct":0.0,"skill_cou(...TRUNCATED) | 2025-09-24 | [{"content":"Given the prompt and model response below (which is a response to that prompt), extract(...TRUNCATED) | 8 | 0 | ["{\"answer_attempts\": [{\"arguments_used\": [\"58\", \"25\", \"10\", \"37\"], \"operations_used\":(...TRUNCATED) | [
false
] | [
""
] | {"api_url":"","backend":"openai","chat_template_applied":false,"generation_params":{"max_completion_(...TRUNCATED) | {
"backend": "openai",
"model_name": "gpt-5-mini",
"n_responses": 1
} |
"Answer the following problem. Explain your reasoning step by step. When you are finished, give your(...TRUNCATED) | 61 + 75 + 12 - 33 | countdown_4arg | countdown | [{"content":"Answer the following problem. Explain your reasoning step by step. When you are finishe(...TRUNCATED) | [] | [] | "{\"metadata\": \"{\\\"source_dataset\\\": \\\"countdown\\\", \\\"source_index\\\": 261, \\\"numbers(...TRUNCATED) | test | null | null | null | null | null | null | null | null | null | null | null | null | "{\"source_dataset\": \"countdown\", \"source_index\": 261, \"numbers\": [61, 12, 33, 75], \"target\(...TRUNCATED) | null | null | null | null | null | null | ["<think>\n<sample>\nTo solve this problem, we need to use the numbers 61, 12, 33, and 75 exactly on(...TRUNCATED) | [
false,
false,
false,
false
] | [
"",
"",
"",
""
] | "{\"api_url\": \"http://127.0.0.1:42019/v1\", \"backend\": \"litellm\", \"chat_template_applied\": t(...TRUNCATED) | "{\"backend\": \"litellm\", \"model_name\": \"hosted_vllm/TAUR-dev/M-0918__random_3args_grpo-rl\", \(...TRUNCATED) | [
false,
false,
false,
false
] | [
"(61 + 12) * 33",
"(61 * 12) - 33",
"(61 - 12) * 75",
"(75 - 61) * (12 / 33)"
] | "[{\"extraction_type\": \"final\", \"total_spans_found\": 2, \"non_overlapping_spans\": 2, \"span_st(...TRUNCATED) | "[{\"is_correct\": false, \"error\": \"Expression does not equal stated result\", \"answer_block\": (...TRUNCATED) | [
[
false,
false
],
[
false,
false,
false,
false
],
[
false,
false,
false
],
[
false,
false,
false,
false,
false
]
] | [["Not possible with the given constraints.","(61 + 12) * 33"],["Not possible","(61 - 12) + 33 + 75"(...TRUNCATED) | "[[{\"pattern_used\": \"answer tag\", \"confidence\": 1.0, \"position\": 2213, \"span_text\": \"Not (...TRUNCATED) | "[[{\"is_correct\": false, \"error\": \"Could not evaluate expression\", \"answer_block\": \"Not pos(...TRUNCATED) | {"flips_by":[0,0,0,0],"flips_total":0,"num_correct":0,"pass_at_n":0,"percent_correct":0.0,"skill_cou(...TRUNCATED) | 2025-09-24 | [{"content":"Given the prompt and model response below (which is a response to that prompt), extract(...TRUNCATED) | 9 | 0 | ["{\"answer_attempts\": [{\"arguments_used\": [\"61\", \"12\", \"33\", \"75\"], \"operations_used\":(...TRUNCATED) | [
false
] | [
""
] | {"api_url":"","backend":"openai","chat_template_applied":false,"generation_params":{"max_completion_(...TRUNCATED) | {
"backend": "openai",
"model_name": "gpt-5-mini",
"n_responses": 1
} |
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