uuid stringlengths 32 32 | messages listlengths 3 3 | tokens int64 88 8.15k |
|---|---|---|
cee50f3d3372426ab3236517a5085114 | [
{
"role": "system",
"content": "You are a helpful assistant."
},
{
"role": "user",
"content": "Compute the sum of 59893 and 2284."
},
{
"role": "assistant",
"content": "<think>The user asks compute sum of 59893 and 2284. Straight addition: 59893 + 2284 = 62177. Let's double-check: 59... | 141 |
ca5816b3eba44f6c969687f2542a5cf4 | [
{
"role": "system",
"content": "You are a helpful assistant."
},
{
"role": "user",
"content": "Compute the difference of 16098 and 2664."
},
{
"role": "assistant",
"content": "<think>User just asks: Compute difference of 16098 and 2664. That's 16098 - 2664 = let's compute: 16098 - 20... | 150 |
25c81315395c46f8aa7a451e14e57b9c | [
{
"role": "system",
"content": "You are a helpful assistant."
},
{
"role": "user",
"content": "Calculate the range of this data set: [95, 1, 74, 80, 33, 50]."
},
{
"role": "assistant",
"content": "<think>We need to compute range = max - min. Data set: 95,1,74,80,33,50. Min = 1, max =... | 182 |
2028a902bee649c79cce9e9b1120cda2 | [
{
"role": "system",
"content": "You are a helpful assistant."
},
{
"role": "user",
"content": "Calculate the range of this data set: [37, 90, 50, 69, 35]."
},
{
"role": "assistant",
"content": "<think>User asks to calculate the range of given data set. Range = max - min. Numbers: 37,... | 190 |
6258318440a64d3c9c61778baec34cba | [
{
"role": "system",
"content": "You are a helpful assistant."
},
{
"role": "user",
"content": "Solve the inequality: x + 11 < 5. Express the solution in interval notation."
},
{
"role": "assistant",
"content": "<think>We need to solve x + 11 < 5. Subtract 11: x < 5 - 11 = -6. So solu... | 205 |
b212aaf9bdee42bdabd0f80ac75323e6 | [
{
"role": "system",
"content": "You are a helpful assistant."
},
{
"role": "user",
"content": "Solve for x: -12x + 35 = 42."
},
{
"role": "assistant",
"content": "<think>We need to solve -12x + 35 = 42. Subtract 35 both sides: -12x = 7. Then x = -7/12. Provide answer.</think>\nTo iso... | 215 |
dcfe5737b65e4627acccc24ccbec4cb6 | [
{
"role": "system",
"content": "You are a helpful assistant."
},
{
"role": "user",
"content": "Solve the inequality: 3x - 3 ≥ 10. Express the solution in interval notation."
},
{
"role": "assistant",
"content": "<think>The problem: inequality 3x - 3 >= 10. Solve: 3x >= 13 => x >= 13/... | 244 |
4da7be05caa3453eab638d2655448066 | [
{
"role": "system",
"content": "You are a helpful assistant."
},
{
"role": "user",
"content": "Solve the inequality: 2x - 11 > -14. Express the solution in interval notation."
},
{
"role": "assistant",
"content": "<think>We need solve inequality: 2x - 11 > -14. Add 11 both sides: 2x ... | 262 |
fb5d0b09a12049f6aa6b69444a04ff34 | [
{
"role": "system",
"content": "You are a helpful assistant."
},
{
"role": "user",
"content": "Calculate the range of this data set: [99, 31, 74, 55, 73, 56, 21, 99, 57, 94, 6, 31]."
},
{
"role": "assistant",
"content": "<think>We need to calculate range = max - min. Data set: 99,31,... | 259 |
d83695ad0498446a8e03d679cb85ba75 | [
{
"role": "system",
"content": "You are a helpful assistant."
},
{
"role": "user",
"content": "Solve for x: -18x - 16 = -2."
},
{
"role": "assistant",
"content": "<think>We just need solve linear equation: -18x - 16 = -2. Add 16 both sides: -18x = 14. Divide by -18: x = 14/(-18) = -7... | 239 |
4276a816e1e547afaa40f37f513b0d15 | [
{
"role": "system",
"content": "You are a helpful assistant."
},
{
"role": "user",
"content": "Solve the inequality: 7x + 13 > 7. Express the solution in interval notation."
},
{
"role": "assistant",
"content": "<think>We need solve 7x + 13 > 7 => 7x > -6 => x > -6/7. So interval: (-... | 260 |
85b624514df941f9b98ed7963c26f817 | [
{
"role": "system",
"content": "You are a helpful assistant."
},
{
"role": "user",
"content": "Solve for x: -8x - 33 = 15."
},
{
"role": "assistant",
"content": "<think>We need to solve linear equation: -8x -33 = 15. Add 33 both sides: -8x = 48. Divide by -8: x = -6. Provide solution... | 252 |
5a58311c44164a9b8c397d4fae2f7c39 | [
{
"role": "system",
"content": "You are a helpful assistant."
},
{
"role": "user",
"content": "Solve for x: 16x - 13 = -12."
},
{
"role": "assistant",
"content": "<think>We need to solve linear equation: 16x - 13 = -12. Add 13 both sides: 16x = 1. Then x = 1/16. Provide steps.</think... | 252 |
234f5538c06e4f3e8adff60109b39c28 | [
{
"role": "system",
"content": "You are a helpful assistant."
},
{
"role": "user",
"content": "Given points A(19, 2) and B(-18, 2), find the equation of the line passing through these two points."
},
{
"role": "assistant",
"content": "<think>We need line through (19,2) and (-18,2). B... | 279 |
759983cfea894dc89d9e1798ff907df3 | [
{
"role": "system",
"content": "You are a helpful assistant."
},
{
"role": "user",
"content": "Simplify: 9^1 ÷ 9^6. State the exponent rule used."
},
{
"role": "assistant",
"content": "<think>We need to simplify 9^1 / 9^6 = 9^{1-6} = 9^{-5} = 1/9^5. Provide exponent rule: quotient ru... | 265 |
0b58b4d99e6445048c7b088fc9b7f3c9 | [
{
"role": "system",
"content": "You are a helpful assistant."
},
{
"role": "user",
"content": "Solve for x: -2x + 6 = -24."
},
{
"role": "assistant",
"content": "<think>User asks to solve for x: -2x + 6 = -24. Simple linear: subtract 6 both sides: -2x = -30, divide -2: x = 15. Provid... | 263 |
59d04332452d4446b9822af5b1d27ef0 | [
{
"role": "system",
"content": "You are a helpful assistant."
},
{
"role": "user",
"content": "Calculate the median of this data set: [20, 88, 60, 86, 45, 56]."
},
{
"role": "assistant",
"content": "<think>We need median. Data set: [20, 88, 60, 86, 45, 56]. Sort ascending: 20,45,56,6... | 275 |
84214a64b1c449cc94678530931bf225 | [
{
"role": "system",
"content": "You are a helpful assistant."
},
{
"role": "user",
"content": "Solve for x: -7x + 17 = 13."
},
{
"role": "assistant",
"content": "<think>The user asks to solve -7x + 17 = 13. Simple linear equation.\n\nWe need to isolate x: subtract 17, -7x = -4, divid... | 286 |
dd9edcce77f14af1aa53310cce690ace | [
{
"role": "system",
"content": "You are a helpful assistant."
},
{
"role": "user",
"content": "Solve the inequality: 4x - 9 ≤ 8. Express the solution in interval notation."
},
{
"role": "assistant",
"content": "<think>We need solve 4x - 9 <= 8. Add 9: 4x <= 17. Divide by 4: x <= 17/4... | 304 |
e4f99b241a9446819efea86f35e5425b | [
{
"role": "system",
"content": "You are a helpful assistant."
},
{
"role": "user",
"content": "Simplify: 3^-5 × 3^1. State the exponent rule used."
},
{
"role": "assistant",
"content": "<think>We need to simplify 3^-5 * 3^1. Use exponent rule: when multiplying same base, add exponent... | 302 |
5f4c7e75c87b40a583ed7247035c734e | [
{
"role": "system",
"content": "You are a helpful assistant."
},
{
"role": "user",
"content": "Solve the inequality: 10x - 12 > -13. Express the solution in interval notation."
},
{
"role": "assistant",
"content": "<think>We need solve 10x - 12 > -13. Add 12 both sides: 10x > -1. Div... | 298 |
4693d7941c4d409ea835682fa5f1cca0 | [
{
"role": "system",
"content": "You are a helpful assistant."
},
{
"role": "user",
"content": "Solve for x: 8x - 11 = 40."
},
{
"role": "assistant",
"content": "<think>The user asks to solve for x: 8x - 11 = 40. Simple linear equation. Add 11 both sides: 8x = 51, divide by 8: x = 51/... | 312 |
4b08d01e84af4de7a113893117484ea3 | [
{
"role": "system",
"content": "You are a helpful assistant."
},
{
"role": "user",
"content": "Given points A(-20, 4) and B(10, 5), find the slope of the line passing through these two points."
},
{
"role": "assistant",
"content": "<think>We just compute slope (y2 - y1)/(x2 - x1) = (... | 338 |
bb111711994247ba8d299a378e65ac35 | [
{
"role": "system",
"content": "You are a helpful assistant."
},
{
"role": "user",
"content": "Calculate the range of this data set: [18, 67, 27, 44, 15, 7, 7, 57, 54, 43]."
},
{
"role": "assistant",
"content": "<think>We need to calculate range = max - min. Data set values: 18,67,27... | 321 |
546b49337bbb4bff948b5cb7392d3532 | [
{
"role": "system",
"content": "You are a helpful assistant."
},
{
"role": "user",
"content": "Solve for x: -20x - 24 = 44."
},
{
"role": "assistant",
"content": "<think>The problem: Solve -20x - 24 = 44. Simple linear equation.\n\nAdd 24 to both sides: -20x = 68. Then divide by -20:... | 307 |
5a9d4847a4f34cfea7255688c6a96e22 | [
{
"role": "system",
"content": "You are a helpful assistant."
},
{
"role": "user",
"content": "Solve for x: 9x + 5 = 37."
},
{
"role": "assistant",
"content": "<think>The user asks to solve for x: 9x + 5 = 37. Simple linear equation. Subtract 5: 9x = 32. Then x = 32/9 = 3.555... So a... | 307 |
f831ae44998a47fea91654e8dc9d09aa | [
{
"role": "system",
"content": "You are a helpful assistant."
},
{
"role": "user",
"content": "Find the Euler's totient φ(127)."
},
{
"role": "assistant",
"content": "<think>The problem: find ph(127). 127 is prime? 127 is a Mersenne prime (2^7 - 1). Indeed 127 is prime. For a prime p... | 323 |
6bc7b348835a4f46a48cc5d557d30c02 | [
{
"role": "system",
"content": "You are a helpful assistant."
},
{
"role": "user",
"content": "Solve for x: 18x - 4 = 42."
},
{
"role": "assistant",
"content": "<think>We just solve linear: 18x -4 =42 => 18x =46 => x =46/18=23/9 2.555... Provide solution steps.</think>\nTo isolate \... | 322 |
158b9412704e4ca5923d04ca032ce471 | [
{
"role": "system",
"content": "You are a helpful assistant."
},
{
"role": "user",
"content": "Calculate the range of this data set: [58, 45, 98, 85, 60, 44]. Show your work."
},
{
"role": "assistant",
"content": "<think>The user asks to calculate the range of the data set [58,45,98,... | 359 |
02eb95232caa4dc5ac2098c3d8f90404 | [
{
"role": "system",
"content": "You are a helpful assistant."
},
{
"role": "user",
"content": "Given points A(2, 16) and B(16, 5), find the midpoint of the segment connecting these two points."
},
{
"role": "assistant",
"content": "<think>We just compute midpoint: ((2+16)/2, (16+5)/2... | 348 |
1b5816ae4d4a42f6bf8671d478ad568d | [
{
"role": "system",
"content": "You are a helpful assistant."
},
{
"role": "user",
"content": "Solve |x| = 6. List all solutions."
},
{
"role": "assistant",
"content": "<think>The user asks \"Solve |x| = 6. List all solutions.\" Simple absolute value equation: x = 6 or x = -6. Provid... | 341 |
aede32d8d42a495480285b00b052968b | [
{
"role": "system",
"content": "You are a helpful assistant."
},
{
"role": "user",
"content": "Find the transpose of the matrix A = [[4, 1, 4], [-3, 0, -1], [-1, 4, 5]]."
},
{
"role": "assistant",
"content": "<think>We need to compute transpose. Provide result.</think>\nThe transpose... | 361 |
79f4568ddb5e40a5b01c5b6af4293eb9 | [
{
"role": "system",
"content": "You are a helpful assistant."
},
{
"role": "user",
"content": "Given points A(-18, -17) and B(-11, 8), find the slope of the line passing through these two points."
},
{
"role": "assistant",
"content": "<think>We need slope = (y2 - y1)/(x2 - x1). Point... | 350 |
160ff146ff3445288f2e408161bfc281 | [
{
"role": "system",
"content": "You are a helpful assistant."
},
{
"role": "user",
"content": "Given points A(-2, -5) and B(-2, 18), find the slope of the line passing through these two points."
},
{
"role": "assistant",
"content": "<think>The question: points A(-2, -5) and B(-2, 18)... | 355 |
add5ae0b59ec4fa29b0dcf1d3a52ea6b | [
{
"role": "system",
"content": "You are a helpful assistant."
},
{
"role": "user",
"content": "Given points A(17, -20) and B(-9, -17), find the slope of the line passing through these two points."
},
{
"role": "assistant",
"content": "<think>We need slope = (y2 - y1)/(x2 - x1). A(17,... | 363 |
20ed769c90444e2b90b04bd9d6770690 | [
{
"role": "system",
"content": "You are a helpful assistant."
},
{
"role": "user",
"content": "Given points A(12, -6) and B(-18, 14), find the slope of the line passing through these two points."
},
{
"role": "assistant",
"content": "<think>We need slope = (y2 - y1)/(x2 - x1). Choose... | 367 |
91838ddd3404403389aaa82a8d957f9b | [
{
"role": "system",
"content": "You are a helpful assistant."
},
{
"role": "user",
"content": "Given points A(9, -3) and B(1, -3), find the midpoint of the segment connecting these two points."
},
{
"role": "assistant",
"content": "<think>The problem asks for midpoint of segment AB g... | 359 |
aa1aa7ea5b704256906080d867ab85e5 | [
{
"role": "system",
"content": "You are a helpful assistant."
},
{
"role": "user",
"content": "Solve |2x - 16| = 20. List all solutions."
},
{
"role": "assistant",
"content": "<think>We just need to solve absolute equation: |2x-16| =20 => 2x-16 = 20 or 2x-16 = -20. Solve: 2x = 36 => ... | 355 |
85a32188093144b09a453523e11114b9 | [
{
"role": "system",
"content": "You are a helpful assistant."
},
{
"role": "user",
"content": "Solve for x: -18x - 19 = -31."
},
{
"role": "assistant",
"content": "<think>We need to solve linear equation: -18x - 19 = -31. Solve: -18x = -31 + 19 = -12. So -18x = -12 => x = (-12)/(-18)... | 353 |
fe94927ccdbf41959e5d5fa0da66d26f | [
{
"role": "system",
"content": "You are a helpful assistant."
},
{
"role": "user",
"content": "Find the transpose of the matrix A = [[0, -2], [-3, 3], [5, -3]]."
},
{
"role": "assistant",
"content": "<think>User asks: transpose of matrix A = [[0, -2], [-3, 3], [5, -3]]. That's a 3x2 ... | 372 |
ace6240986ee41ab9e78cc1040190ec3 | [
{
"role": "system",
"content": "You are a helpful assistant."
},
{
"role": "user",
"content": "Calculate the median of this data set: [23, 55, 7, 39, 45, 92, 72, 47, 4, 10]."
},
{
"role": "assistant",
"content": "<think>We need to calculate median. Data set: 10 numbers. Sort them: 4,... | 374 |
a6c33ecbd0264a96884f62ed5d17958b | [
{
"role": "system",
"content": "You are a helpful assistant."
},
{
"role": "user",
"content": "A bag contains 10 red, 7 blue, and 10 green balls. What is the probability of drawing a green ball? Show your calculation."
},
{
"role": "assistant",
"content": "<think>User asks simple pro... | 395 |
b018223f0b354a91b36a5002c5cfe22e | [
{
"role": "system",
"content": "You are a helpful assistant."
},
{
"role": "user",
"content": "Find the area of a triangle with base 6.26 and height 6.02."
},
{
"role": "assistant",
"content": "<think>We need to compute area = 0.5 * base * height. Base = 6.26, height = 6.02. Multiply... | 365 |
304e92894b8d4b04a7ead4d91983f084 | [
{
"role": "system",
"content": "You are a helpful assistant."
},
{
"role": "user",
"content": "Solve the inequality: 3x + 11 < 19. Express the solution in interval notation."
},
{
"role": "assistant",
"content": "<think>The problem: solve inequality 3x + 11 < 19. Subtract 11: 3x < 8,... | 376 |
7207d8a873ce46e5befebe6fe3fd5100 | [
{
"role": "system",
"content": "You are a helpful assistant."
},
{
"role": "user",
"content": "A right triangle has one leg of length 16 and hypotenuse √400. Find the other leg."
},
{
"role": "assistant",
"content": "<think>We need to find the other leg of a right triangle where one ... | 377 |
5b56bbb5566f4cd3b2ca2b0c7b2a09fe | [
{
"role": "system",
"content": "You are a helpful assistant."
},
{
"role": "user",
"content": "Given points A(-8, -8) and B(7, 0), find the midpoint of the segment connecting these two points."
},
{
"role": "assistant",
"content": "<think>We need to compute midpoint formula: ((x1+x2)... | 377 |
b0547508641743e2b031c475c7a06190 | [
{
"role": "system",
"content": "You are a helpful assistant."
},
{
"role": "user",
"content": "Given points A(14, -9) and B(16, 18), find the midpoint of the segment connecting these two points."
},
{
"role": "assistant",
"content": "<think>We need midpoint formula: ((x1+x2)/2, (y1+y... | 383 |
d3fe26cbb17f4f1dadb628fc28b22ab9 | [
{
"role": "system",
"content": "You are a helpful assistant."
},
{
"role": "user",
"content": "Solve |5x + 6| = 27. List all solutions."
},
{
"role": "assistant",
"content": "<think>We need solve absolute equation. |5x+6|=27. => 5x+6=27 or 5x+6 = -27. Solve: 5x=21 => x=21/5=4.2. Or 5... | 375 |
c59d44213e67489da6f9fa04b2115298 | [
{
"role": "system",
"content": "You are a helpful assistant."
},
{
"role": "user",
"content": "Simplify: 3^-2 ÷ 3^-2. State the exponent rule used."
},
{
"role": "assistant",
"content": "<think>We need to simplify 3^-2 / 3^-2. It's same base, division, so using rule a^m / a^n = a^{m-... | 387 |
1f16ab599294417ab14db543b2e38d7a | [
{
"role": "system",
"content": "You are a helpful assistant."
},
{
"role": "user",
"content": "Given points A(-20, 11) and B(6, -8), find the midpoint of the segment connecting these two points."
},
{
"role": "assistant",
"content": "<think>We need midpoint formula: ((x1+x2)/2, (y1+y... | 395 |
3d4fb73fbe4746d59b45becca482b0d2 | [
{
"role": "system",
"content": "You are a helpful assistant."
},
{
"role": "user",
"content": "Find the area of a triangle with base 15.5 and height 1.81."
},
{
"role": "assistant",
"content": "<think>We need to compute area = 0.5 * base * height = 0.5 * 15.5 * 1.81. Compute: 15.5 * ... | 381 |
706ea84609384e979a18e1a36a05d8fc | [
{
"role": "system",
"content": "You are a helpful assistant."
},
{
"role": "user",
"content": "Find the area of a triangle with base 29.25 and height 19.91."
},
{
"role": "assistant",
"content": "<think>We need to compute area = (1/2) * base * height. Base = 29.25, height = 19.91. Co... | 384 |
f1a550972fe8482d934f6630124f4769 | [
{
"role": "system",
"content": "You are a helpful assistant."
},
{
"role": "user",
"content": "Calculate the mean of this data set: [11, 40, 53, 61, 95, 13, 82, 99, 60]."
},
{
"role": "assistant",
"content": "<think>We need to compute mean: sum divided by count.\n\nData set: 11,40,53... | 411 |
2b85d3610c23489db21ba15e86edfe5e | [
{
"role": "system",
"content": "You are a helpful assistant."
},
{
"role": "user",
"content": "A right triangle has one leg of length 30 and hypotenuse √1525. Find the other leg."
},
{
"role": "assistant",
"content": "<think>We have a right triangle with legs a=30, b = unknown, hypot... | 418 |
e0e8eaedaf1d4872b276b4565349d890 | [
{
"role": "system",
"content": "You are a helpful assistant."
},
{
"role": "user",
"content": "Solve |8x - 19| = 16. List all solutions."
},
{
"role": "assistant",
"content": "<think>We need solve absolute value equation: |8x - 19| = 16. So 8x - 19 = 16 or 8x - 19 = -16.\n\nFirst: 8x... | 415 |
22954f9d936e495abe6a5d722561c51e | [
{
"role": "system",
"content": "You are a helpful assistant."
},
{
"role": "user",
"content": "Determine whether 830444 is divisible by 4. Explain the divisibility rule you used."
},
{
"role": "assistant",
"content": "<think>We need to answer whether 830444 divisible by 4, and explai... | 421 |
24117171a4c045d3bb63b27ef6965733 | [
{
"role": "system",
"content": "You are a helpful assistant."
},
{
"role": "user",
"content": "Solve |2x - 16| = 15. List all solutions."
},
{
"role": "assistant",
"content": "<think>We need solve |2x - 16| = 15. So 2x - 16 = 15 or 2x - 16 = -15. First: 2x = 31 => x = 31/2 = 15.5. Se... | 417 |
cdaa7ed6066f4066a1e14f7d1796da06 | [
{
"role": "system",
"content": "You are a helpful assistant."
},
{
"role": "user",
"content": "Solve |10x + 20| = 19. List all solutions."
},
{
"role": "assistant",
"content": "<think>We need solve absolute equation: |10x+20|=19 => 10x+20 = +-19.\n\nCase1: 10x+20 = 19 => 10x = -1 => ... | 420 |
2db57a9f2b0e4230915a64ddeed5a978 | [
{
"role": "system",
"content": "You are a helpful assistant."
},
{
"role": "user",
"content": "Compute the product of 19764 and 3936."
},
{
"role": "assistant",
"content": "<think>We need multiply 19764 * 3936. Compute.\n\n19764 * 3936 = 19764 * (4000 - 64). Because 3936 = 4000 - 64.... | 415 |
03501c9fdec34e7c8f7371eec094bc5c | [
{
"role": "system",
"content": "You are a helpful assistant."
},
{
"role": "user",
"content": "Solve |10x - 17| = 16. List all solutions."
},
{
"role": "assistant",
"content": "<think>We need to solve absolute value equation: |10x - 17| = 16. So 10x - 17 = 16 or 10x - 17 = -16. Solve... | 433 |
fc70f21046ab49d7ab3df42d218382a4 | [
{
"role": "system",
"content": "You are a helpful assistant."
},
{
"role": "user",
"content": "Determine whether 581928 is divisible by 3. Explain the divisibility rule you used."
},
{
"role": "assistant",
"content": "<think>The user asks: Determine whether 581928 is divisible by 3. ... | 439 |
b7ea2101dcbb4cc9b198beae124eaaba | [
{
"role": "system",
"content": "You are a helpful assistant."
},
{
"role": "user",
"content": "Find the transpose of the matrix A = [[0, -1], [1, 4], [1, 3], [1, 2]]."
},
{
"role": "assistant",
"content": "<think>We need to compute transpose. A is a 4x2 matrix (4 rows, 2 columns). Tr... | 468 |
e0ca498ac01441e598614916b1f45e35 | [
{
"role": "system",
"content": "You are a helpful assistant."
},
{
"role": "user",
"content": "Determine whether 677982 is divisible by 9. Explain the divisibility rule you used."
},
{
"role": "assistant",
"content": "<think>We need to answer if 677,982 divisible by 9. Use rule: sum ... | 447 |
7e0870284b5149b19b88a7b247ae1f29 | [
{
"role": "system",
"content": "You are a helpful assistant."
},
{
"role": "user",
"content": "Find the area of a triangle with base 38.45 and height 32.09."
},
{
"role": "assistant",
"content": "<think>We need compute area = (1/2)*base*height. Base=38.45, height=32.09. Multiply: 38.... | 453 |
007e2862203f4b38849239dc86379c01 | [
{
"role": "system",
"content": "You are a helpful assistant."
},
{
"role": "user",
"content": "Compute the product of 95286 and 8150."
},
{
"role": "assistant",
"content": "<think>We need to compute 95286 * 8150.\n\nCompute: 95286 * 8150 = 95286 * (815 *10). Actually 8150 = 815 *10. ... | 437 |
55f00715645e4a588c19eb1a5f74d139 | [
{
"role": "system",
"content": "You are a helpful assistant."
},
{
"role": "user",
"content": "Find the area of a triangle with base 15.79 and height 25.48."
},
{
"role": "assistant",
"content": "<think>We just need area = 0.5 * base * height. Compute: 0.5 * 15.79 * 25.48.\n\nFirst c... | 460 |
d006b1c554dd4d5f9b2847a709418bcc | [
{
"role": "system",
"content": "You are a helpful assistant."
},
{
"role": "user",
"content": "Find the transpose of the matrix A = [[4, 0, 4, -2], [-5, -1, 5, -5]]."
},
{
"role": "assistant",
"content": "<think>The user asks to find transpose of matrix A. A is 2x4: rows: [4,0,4,-2];... | 482 |
5d2a5a1d1b6c4832a56620ca155967d3 | [
{
"role": "system",
"content": "You are a helpful assistant."
},
{
"role": "user",
"content": "A right triangle has legs of length 29 and 48. Find the hypotenuse."
},
{
"role": "assistant",
"content": "<think>We need to compute sqrt(29^2 + 48^2). 29^2 = 841. 48^2 = 2304. Sum = 3145. ... | 465 |
4cf31c19d396402f942d3d3de10b0e14 | [
{
"role": "system",
"content": "You are a helpful assistant."
},
{
"role": "user",
"content": "Find the 32th term and the sum of the first 32 terms of an arithmetic sequence with a₁ = 9 and common difference d = 10."
},
{
"role": "assistant",
"content": "<think>We need to compute a_3... | 503 |
7c3d1e4285ca4781a67216310214239e | [
{
"role": "system",
"content": "You are a helpful assistant."
},
{
"role": "user",
"content": "Evaluate the definite integral of f(x) = 5x^5 from 2 to 4."
},
{
"role": "assistant",
"content": "<think>We need to compute _{2}^{4} 5x^5 dx. Antiderivative: 5 * x^6 /6 = (5/6)x^6. Evaluate... | 470 |
715f737858744e2889a8196ee98cdf9f | [
{
"role": "system",
"content": "You are a helpful assistant."
},
{
"role": "user",
"content": "Solve |5x - 6| = 12. List all solutions."
},
{
"role": "assistant",
"content": "<think>We need solve absolute equation. |5x - 6| = 12 => 5x - 6 = 12 or 5x - 6 = -12. Solve: 5x = 18 => x = 1... | 505 |
5b1034a7372d4d3b9035c790c8e1f777 | [
{
"role": "system",
"content": "You are a helpful assistant."
},
{
"role": "user",
"content": "Find the area of a triangle with base 26.68 and height 21.44."
},
{
"role": "assistant",
"content": "<think>We need to compute area = 0.5 * base * height. Base = 26.68, height = 21.44. Mult... | 472 |
e96fb972e7944c1caade1a891fbb42a3 | [
{
"role": "system",
"content": "You are a helpful assistant."
},
{
"role": "user",
"content": "Given points A(1, -9) and B(6, -1), find the distance between these two points."
},
{
"role": "assistant",
"content": "<think>The user asks distance between points A(1,-9) and B(6,-1). Use ... | 494 |
3dc71239f97a437ca7c701238128765c | [
{
"role": "system",
"content": "You are a helpful assistant."
},
{
"role": "user",
"content": "In a class of 36 students, 15 play soccer and 8 play basketball, with 3 playing both. What is the probability a randomly chosen student plays at least one sport? Show your calculation."
},
{
"r... | 525 |
2e92d8a4b0c84e23b58ada5d79f09cd8 | [
{
"role": "system",
"content": "You are a helpful assistant."
},
{
"role": "user",
"content": "In a class of 24 students, 9 play soccer and 6 play basketball, with 4 playing both. What is the probability a randomly chosen student plays at least one sport? Show your calculation."
},
{
"ro... | 518 |
7cb758244ea1442da4d02461e78ab04f | [
{
"role": "system",
"content": "You are a helpful assistant."
},
{
"role": "user",
"content": "A bag contains 6 red, 4 blue, and 10 green balls. What is the probability of drawing a green ball? Show your calculation."
},
{
"role": "assistant",
"content": "<think>We need to answer pro... | 324 |
42079571c1734142a0713d1dced719c5 | [
{
"role": "system",
"content": "You are a helpful assistant."
},
{
"role": "user",
"content": "A sequence is defined by a(1) = 4, a(2) = 4, and a(n) = a(n-1) + a(n-2). Find a(10)."
},
{
"role": "assistant",
"content": "<think>We need compute Fibonacci-type sequence starting with 4,4.... | 492 |
6fbf6cf24b5940b885d609bcdb38850d | [
{
"role": "system",
"content": "You are a helpful assistant."
},
{
"role": "user",
"content": "In a class of 22 students, 5 play soccer and 12 play basketball, with 2 playing both. What is the probability a randomly chosen student plays at least one sport? Show your calculation."
},
{
"r... | 531 |
31cecf18c44f46abb32193ca1d89c34e | [
{
"role": "system",
"content": "You are a helpful assistant."
},
{
"role": "user",
"content": "Find the second derivative of f(x) = 1x^3 + 10x - 9. Show each differentiation step."
},
{
"role": "assistant",
"content": "<think>We need to compute second derivative for f(x)=1x^3 +10x -9... | 548 |
97664875d2aa4a27a274214c95279ee1 | [
{
"role": "system",
"content": "You are a helpful assistant."
},
{
"role": "user",
"content": "Solve the quadratic equation x² + 9x + 11 = 0. Use the quadratic formula and simplify completely."
},
{
"role": "assistant",
"content": "<think>We need to solve x^2 + 9x + 11 = 0 using quad... | 550 |
771b530a227c4e9b948f99cd69210386 | [
{
"role": "system",
"content": "You are a helpful assistant."
},
{
"role": "user",
"content": "In a class of 28 students, 9 play soccer and 7 play basketball, with 5 playing both. What is the probability a randomly chosen student plays at least one sport? Show your calculation."
},
{
"ro... | 534 |
b65c7da0c31b4b6e9241c4fe45a7141c | [
{
"role": "system",
"content": "You are a helpful assistant."
},
{
"role": "user",
"content": "Find the area of a triangle with base 24.44 and height 43.48."
},
{
"role": "assistant",
"content": "<think>We need area of triangle = 0.5 * base * height. base 24.44, height 43.48. Compute... | 515 |
43b96bc74ec946418c0c89904e62014b | [
{
"role": "system",
"content": "You are a helpful assistant."
},
{
"role": "user",
"content": "Find the rank of the matrix A = [[-1, 2], [-4, 1], [2, -5]]."
},
{
"role": "assistant",
"content": "<think>We need rank of a 3x2 matrix. Compute column vectors: col1 = (-1, -4, 2)^T, col2 =... | 518 |
70f90cec4aed43238e900ba4fcd760cc | [
{
"role": "system",
"content": "You are a helpful assistant."
},
{
"role": "user",
"content": "Find the area of a triangle with base 35.29 and height 33.26."
},
{
"role": "assistant",
"content": "<think>We need compute area = 0.5 * base * height. base=35.29, height=33.26. Multiply: 3... | 504 |
a8985cae346a4b748db1d252a43da321 | [
{
"role": "system",
"content": "You are a helpful assistant."
},
{
"role": "user",
"content": "Find the area of a triangle with base 38.62 and height 36.76."
},
{
"role": "assistant",
"content": "<think>We need compute area = 0.5 * base * height. Base=38.62, height=36.76. Multiply: 3... | 531 |
16ba0a5ce92144d9b9b7a692effdea87 | [
{
"role": "system",
"content": "You are a helpful assistant."
},
{
"role": "user",
"content": "Determine whether 308122 is divisible by 8. Explain the divisibility rule you used."
},
{
"role": "assistant",
"content": "<think>We need to answer: Determine whether 308122 is divisible by... | 538 |
adafcca24cb54bddae35a1a61a0b08ba | [
{
"role": "system",
"content": "You are a helpful assistant."
},
{
"role": "user",
"content": "Given points A(16, 10) and B(-2, -1), find the distance between these two points."
},
{
"role": "assistant",
"content": "<think>We need distance formula sqrt((x2-x1)^2+(y2-y1)^2). Points A(... | 536 |
1102ebed64ba4cda875d157665084ecb | [
{
"role": "system",
"content": "You are a helpful assistant."
},
{
"role": "user",
"content": "An object starts with velocity 1.0 m/s and accelerates at -0.5 m/s² for 12.9 seconds. Find the final velocity. Show all equations used."
},
{
"role": "assistant",
"content": "<think>The use... | 555 |
d8bfc8da376b49d48c45fdd19a9dc5c4 | [
{
"role": "system",
"content": "You are a helpful assistant."
},
{
"role": "user",
"content": "Calculate the range of this data set: [99, 61, 78, 36, 78, 1, 68, 25, 88, 99, 3]. Show your work."
},
{
"role": "assistant",
"content": "<think>We need to compute range = max - min. Data se... | 568 |
ea32a15c39b34972b94ff451f46b92dd | [
{
"role": "system",
"content": "You are a helpful assistant."
},
{
"role": "user",
"content": "In a class of 23 students, 7 play soccer and 5 play basketball, with 3 playing both. What is the probability a randomly chosen student plays at least one sport? Show your calculation."
},
{
"ro... | 564 |
b8b9c63c814f4e508b902490f70e772a | [
{
"role": "system",
"content": "You are a helpful assistant."
},
{
"role": "user",
"content": "Calculate the volume of a rectangular prism with length 4.04, width 25.08, and height 6.44."
},
{
"role": "assistant",
"content": "<think>We need volume = length*width*height. Compute: 4.04... | 517 |
a40997c42b174c12bff3749e0521b7d1 | [
{
"role": "system",
"content": "You are a helpful assistant."
},
{
"role": "user",
"content": "Solve |6x - 13| = 6. List all solutions."
},
{
"role": "assistant",
"content": "<think>We need solve absolute equation: |6x-13| = 6. So 6x -13 = 6 or 6x -13 = -6. Solve both: 6x = 19 => x =... | 539 |
3798b15476604c65a0912e8c01fe82fc | [
{
"role": "system",
"content": "You are a helpful assistant."
},
{
"role": "user",
"content": "Find the 19th term and the sum of the first 19 terms of an arithmetic sequence with a₁ = -7 and common difference d = 4."
},
{
"role": "assistant",
"content": "<think>We need term formula: ... | 583 |
5026e0f0339542f2b6c6d4e03191f3af | [
{
"role": "system",
"content": "You are a helpful assistant."
},
{
"role": "user",
"content": "Given points A(-16, -6) and B(9, -12), find the distance between these two points."
},
{
"role": "assistant",
"content": "<think>We need distance formula: sqrt[(x2-x1)^2 + (y2-y1)^2]. Compu... | 550 |
eeb0c14893f248bcb96ae610278a0502 | [
{
"role": "system",
"content": "You are a helpful assistant."
},
{
"role": "user",
"content": "Solve the inequality: 3x - 1 ≤ -15. Express the solution in interval notation."
},
{
"role": "assistant",
"content": "<think>The problem: Solve inequality 3x - 1 <= -15. Simple linear inequ... | 285 |
38975102d43d4e42af2044927a253a00 | [
{
"role": "system",
"content": "You are a helpful assistant."
},
{
"role": "user",
"content": "A spring with constant k = 75 N/m is compressed 0.26 m. Calculate the elastic potential energy stored. Show your calculations."
},
{
"role": "assistant",
"content": "<think>We need to answe... | 582 |
7f0bd5c9413745e1bfed9416eae1707b | [
{
"role": "system",
"content": "You are a helpful assistant."
},
{
"role": "user",
"content": "Evaluate log base 3 of 86. Simplify if possible."
},
{
"role": "assistant",
"content": "<think>We need to evaluate log base 3 of 86, and simplify if possible. Likely they want expression in... | 525 |
bcd71e8a7dc4452288f90b8ad4985809 | [
{
"role": "system",
"content": "You are a helpful assistant."
},
{
"role": "user",
"content": "In a class of 22 students, 14 play soccer and 9 play basketball, with 2 playing both. What is the probability a randomly chosen student plays at least one sport? Show your calculation."
},
{
"r... | 593 |
f32362db6ac247a0831b6bc134bcec66 | [
{
"role": "system",
"content": "You are a helpful assistant."
},
{
"role": "user",
"content": "A wave has frequency 3940 Hz and wavelength 8.76 m. Calculate the wave speed. Show your work."
},
{
"role": "assistant",
"content": "<think>We need to calculate wave speed: v = f * l. f = 3... | 580 |
f0c74b39d66f49e6996f980131cc6678 | [
{
"role": "system",
"content": "You are a helpful assistant."
},
{
"role": "user",
"content": "Given points A(17, 7) and B(-14, 17), find the distance between these two points."
},
{
"role": "assistant",
"content": "<think>We need to compute distance between (17,7) and (-14,17). Use ... | 548 |
End of preview. Expand in Data Studio
No dataset card yet
- Downloads last month
- 32