text stringlengths 423 1.55k | input stringlengths 5 55 | output stringlengths 1 23 | topic stringclasses 5
values | difficulty int32 1 5 | steps int32 1 9 |
|---|---|---|---|---|---|
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((log(20, 2) + 96) * sqrt(16)) + 84. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $log(20, 2) = 4.321928094887363$
2. $sqrt(16) = 4$
... | ((log(20, 2) + 96) * sqrt(16)) + 84 | 485.2877123795495 | mixed | 5 | 5 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((83 * sin(45)) / sqrt(81)) / cos(360). This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $sin(45) = 0.7071067811865476$
2. $sqrt(81) = 9$
... | ((83 * sin(45)) / sqrt(81)) / cos(360) | 0.13585616397797096 | mixed | 3 | 7 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((72 - cos(360)) - sqrt(9)) / sqrt(64). This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $cos(360) = 1$
2. $sqrt(9) = 3$
3. $sqrt(64) = ... | ((72 - cos(360)) - sqrt(9)) / sqrt(64) | -85.5 | mixed | 2 | 7 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((tan(30) - cbrt(64)) - 87) / 84. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $tan(30) = 0.5773502691896257$
2. $cbrt(64) = 3.9999999... | ((tan(30) - cbrt(64)) - 87) / 84 | -2.0764601158429805 | mixed | 4 | 7 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: log(2, 2) + 9. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $log(2, 2) = 1$
2. $1 + 9 = 10$
The answer is $10$
3. Drafting the respo... | log(2, 2) + 9 | 10 | log | 2 | 2 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((17 + 69) - 87) * sec(240). This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $sec(240) = -1.9999999999999982$
2. $17 + 69 = 86$
3. $86 ... | ((17 + 69) - 87) * sec(240) | 14.999999999999998 | trig | 2 | 5 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((sqrt(64) / 89) - 25) / 18. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $sqrt(64) = 8$
2. $8 / 89 = 0.0898876404494382$
3. $0.0898... | ((sqrt(64) / 89) - 25) / 18 | -1.3838951310861425 | power | 1 | 4 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: (cot(90) + 38) / 37. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $cot(90) = 6.123233995736766e-17$
2. $6.123233995736766e-17 + 38 = 3... | (cot(90) + 38) / 37 | 1.027027027027027 | trig | 1 | 3 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((log(46, 3) - 74) - 63) - 5. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $log(46, 3) = 3.4849795837717283$
2. $3.4849795837717283 - ... | ((log(46, 3) - 74) - 63) - 5 | -138.51502041622825 | log | 2 | 4 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((sqrt(49) - sqrt(25)) * 72) * 89. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $sqrt(49) = 7$
2. $sqrt(25) = 5$
3. $7 - 5 = 2$
4.... | ((sqrt(49) - sqrt(25)) * 72) * 89 | 12861 | power | 4 | 6 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((56 * sqrt(49)) * sin(90)) - 51. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $sqrt(49) = 7$
2. $sin(90) = 1$
3. $56 * 7 = 392$
4... | ((56 * sqrt(49)) * sin(90)) - 51 | 341 | mixed | 3 | 5 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((log(25, 2) / log(49, 5)) + sec(30)) - 86. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $log(25, 2) = 4.643856189774724$
2. $log(49, ... | ((log(25, 2) / log(49, 5)) + sec(30)) - 86 | -82.92486181568329 | mixed | 2 | 6 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((log(20, 2) - sin(30)) * 74) - 19. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $log(20, 2) = 4.321928094887363$
2. $sin(30) = 0.4999... | ((log(20, 2) - sin(30)) * 74) - 19 | 131.91133951083242 | mixed | 5 | 7 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((66 - sin(45)) * 85) + 96. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $sin(45) = 0.7071067811865476$
2. $66 - 0.7071067811865476 = ... | ((66 - sin(45)) * 85) + 96 | 5721.895923599143 | trig | 4 | 5 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((22 + sin(270)) - 44) + csc(150). This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $sin(270) = -1$
2. $csc(150) = 2.0000000000000004$
3... | ((22 + sin(270)) - 44) + csc(150) | -20.039092698225822 | mixed | 2 | 7 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((64 / sqrt(9)) * 24) - 50. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $sqrt(9) = 3$
2. $64 / 3 = 21.333333333333332$
3. $21.33333... | ((64 / sqrt(9)) * 24) - 50 | 462 | power | 3 | 4 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((sqrt(4) / 75) / 20) + cos(90). This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $sqrt(4) = 2$
2. $cos(90) = 6.123233995736766e-17$
3. ... | ((sqrt(4) / 75) / 20) + cos(90) | -67.99866666666667 | mixed | 3 | 6 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: (99 * cos(0)) / 4. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $cos(0) = 1$
2. $99 * 1 = 99$
3. $99 / 4 = 24.75$
The answer is $2... | (99 * cos(0)) / 4 | 24.75 | trig | 1 | 3 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: (37 * 89) + cos(180). This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $cos(180) = -1$
2. $37 * 89 = 3293$
3. $3293 + -1 = 3292$
The a... | (37 * 89) + cos(180) | 3292 | trig | 5 | 3 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((5**3 + 77) * 59) / 53. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $5**3 = 125$
2. $125 + 77 = 202$
3. $202 * 59 = 11918$
4. $1... | ((5**3 + 77) * 59) / 53 | 166.8679245283019 | power | 2 | 5 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: 82 + csc(45). This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $csc(45) = 1.414213562373095$
2. $82 + 1.414213562373095 = 83.4142135623730... | 82 + csc(45) | 83.41421356237309 | trig | 1 | 2 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: (83 * 17) - 96. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $83 * 17 = 1411$
2. $1411 - 96 = 1315$
The answer is $1315$
3. Drafting... | (83 * 17) - 96 | 1315 | arithmetic | 1 | 2 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: log(6, 10) - 61. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $log(6, 10) = 0.7781512503836435$
2. $0.7781512503836435 - 61 = -60.2218... | log(6, 10) - 61 | -60.221848749616356 | log | 3 | 2 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((cos(90) + 34) - 44) / 97. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $cos(90) = 6.123233995736766e-17$
2. $sqrt(4) = 2$
3. $6.12... | ((cos(90) + 34) - 44) / 97 | 1.8969072164948453 | mixed | 2 | 6 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: (cos(360) + 37) / sin(60). This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $cos(360) = 1$
2. $sin(60) = 0.8660254037844386$
3. $1 + 37 ... | (cos(360) + 37) / sin(60) | 43.87862045841156 | trig | 3 | 4 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: (68 + sec(180)) / 89. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $sec(180) = -1$
2. $68 + -1 = 67$
3. $67 / 89 = 0.752808988764044... | (68 + sec(180)) / 89 | 0.7528089887640449 | trig | 4 | 3 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((82 - cos(30)) + 57) / 100. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $cos(30) = 0.8660254037844387$
2. $82 - 0.8660254037844387 =... | ((82 - cos(30)) + 57) / 100 | -98.61866025403785 | trig | 5 | 5 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((58 - cos(60)) + sin(30)) / 35. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $cos(60) = 0.5000000000000001$
2. $sin(30) = 0.499999999... | ((58 - cos(60)) + sin(30)) / 35 | 0.8902893506705124 | mixed | 4 | 7 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: (log(5, 3) * 50) * 60. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $log(5, 3) = 1.4649735207179269$
2. $1.4649735207179269 * 50 = 73.... | (log(5, 3) * 50) * 60 | 4394.92056215378 | log | 3 | 3 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((sqrt(81) * 61) - csc(270)) * sin(0). This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $sqrt(81) = 9$
2. $csc(270) = -1$
3. $sin(0) = 0... | ((sqrt(81) * 61) - csc(270)) * sin(0) | -2.0000000000000004 | mixed | 3 | 8 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: 33 - sin(0). This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $sin(0) = 0$
2. $33 - 0 = 33$
The answer is $33$
3. Drafting the response:... | 33 - sin(0) | 33 | trig | 3 | 2 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: (sqrt(36) / sqrt(9)) * 44. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $sqrt(36) = 6$
2. $sqrt(9) = 3$
3. $6 / 3 = 2$
4. $2 * 44 ... | (sqrt(36) / sqrt(9)) * 44 | 88 | power | 1 | 4 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((32 * sqrt(9)) - sin(270)) * sqrt(25). This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $sqrt(9) = 3$
2. $sin(270) = -1$
3. $sqrt(25) =... | ((32 * sqrt(9)) - sin(270)) * sqrt(25) | 485 | mixed | 5 | 6 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((sin(180) - 14) * log(48, 5)) - 13. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $sin(180) = 1.2246467991473532e-16$
2. $log(48, 5) =... | ((sin(180) - 14) * log(48, 5)) - 13 | -46.674373974913806 | mixed | 4 | 5 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((75 - 35) - 62) / 52. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $75 - 35 = 40$
2. $40 - 62 = -22$
3. $-22 / 52 = -0.423076923076... | ((75 - 35) - 62) / 52 | -34.69230769230769 | arithmetic | 2 | 4 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((40 + 60) * cos(60)) * 88. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $cos(60) = 0.5000000000000001$
2. $40 + 60 = 100$
3. $100 *... | ((40 + 60) * cos(60)) * 88 | 4400.000000000001 | trig | 4 | 4 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: (sin(180) + 92) / 64. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $sin(180) = 1.2246467991473532e-16$
2. $1.2246467991473532e-16 + 92... | (sin(180) + 92) / 64 | 1.4375 | trig | 3 | 3 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((97 + cos(45)) * 33) + log(13, 3). This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $cos(45) = 0.7071067811865476$
2. $log(13, 3) = 2.334... | ((97 + cos(45)) * 33) + log(13, 3) | 3226.669241298629 | mixed | 2 | 5 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: (cbrt(125) / 32) * 84. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $cbrt(125) = 4.999999999999999$
2. $4.999999999999999 / 32 = 0.156... | (cbrt(125) / 32) * 84 | 13.124999999999998 | power | 3 | 3 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: 80 / 12. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $80 / 12 = 6.666666666666667$
The answer is $6.666666666666667$
3. Drafting the ... | 80 / 12 | 6.666666666666667 | arithmetic | 1 | 1 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: 29 + 7. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $29 + 7 = 36$
The answer is $36$
3. Drafting the response: "Ответ на ваш запрос в... | 29 + 7 | 36 | arithmetic | 3 | 1 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: 96 - cbrt(27). This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $cbrt(27) = 3$
2. $96 - 3 = 93$
The answer is $93$
3. Drafting the respo... | 96 - cbrt(27) | 93 | power | 1 | 2 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: 94 * tan(60). This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $tan(60) = 1.7320508075688767$
2. $94 * 1.7320508075688767 = 162.8127759114... | 94 * tan(60) | 162.8127759114744 | trig | 4 | 2 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((91 + log(14, 3)) + 100) / 100. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $log(14, 3) = 2.402173502732879$
2. $91 + 2.402173502732... | ((91 + log(14, 3)) + 100) / 100 | 1.9340217350273285 | log | 2 | 4 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: (26 - 67) + 22. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $26 - 67 = -41$
2. $-41 + 22 = -19$
The answer is $-19$
3. Drafting the... | (26 - 67) + 22 | -19 | arithmetic | 3 | 2 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: (37 - 32) + 64. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $37 - 32 = 5$
2. $5 + 64 = 69$
The answer is $69$
3. Drafting the respo... | (37 - 32) + 64 | 69 | arithmetic | 5 | 2 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((3 + 91) + 31) - 36. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $3 + 91 = 94$
2. $94 + 31 = 125$
3. $125 - 36 = 89$
The answer ... | ((3 + 91) + 31) - 36 | 89 | arithmetic | 1 | 3 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: 45 - sec(45). This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $sec(45) = 1.414213562373095$
2. $45 - 1.414213562373095 = 43.5857864376269... | 45 - sec(45) | 43.58578643762691 | trig | 2 | 2 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: 32 + 31. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $32 + 31 = 63$
The answer is $63$
3. Drafting the response: "Ответ на ваш запрос... | 32 + 31 | 63 | arithmetic | 3 | 1 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: (csc(150) * cos(45)) - log(19, 3). This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $csc(150) = 2.0000000000000004$
2. $cos(45) = 0.707106... | (csc(150) * cos(45)) - log(19, 3) | -1.2659302968732797 | mixed | 4 | 5 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((csc(150) - 99) - 31) * 93. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $csc(150) = 2.0000000000000004$
2. $tan(180) = -1.2246467991... | ((csc(150) - 99) - 31) * 93 | 1.4578195497050092e-12 | trig | 3 | 6 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((61 + 28) / cot(315)) / 69. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $cot(315) = -0.9999999999999996$
2. $61 + 28 = 89$
3. $89 ... | ((61 + 28) / cot(315)) / 69 | -1.2898550724637687 | trig | 4 | 4 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((5 + cbrt(216)) * 4**4) + 71. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $cbrt(216) = 5.999999999999999$
2. $4**4 = 256$
3. $5 + ... | ((5 + cbrt(216)) * 4**4) + 71 | 169.8235294117647 | power | 5 | 6 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: (89 - sin(180)) + 58. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $sin(180) = 1.2246467991473532e-16$
2. $89 - 1.2246467991473532e-16... | (89 - sin(180)) + 58 | 147 | trig | 1 | 3 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((62 * 62) / 57) + tan(180). This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $tan(180) = -1.2246467991473532e-16$
2. $62 * 62 = 3844$
3... | ((62 * 62) / 57) + tan(180) | 67.43859649122807 | trig | 5 | 4 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: (73 + cbrt(27)) / 82. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $cbrt(27) = 3$
2. $73 + 3 = 76$
3. $76 / 82 = 0.926829268292683$
... | (73 + cbrt(27)) / 82 | 0.926829268292683 | power | 5 | 3 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((csc(150) * cot(60)) + 27) / 91. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $csc(150) = 2.0000000000000004$
2. $cot(60) = 0.5773502... | ((csc(150) * cot(60)) + 27) / 91 | 0.30939231360856323 | trig | 4 | 5 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((7 - 87) - 38) + 57. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $sin(360) = -2.4492935982947064e-16$
2. $7 - 87 = -80$
3. $-80 - ... | ((7 - 87) - 38) + 57 | -61 | trig | 1 | 5 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((57 / 18) * 19) * cos(180). This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $cos(180) = -1$
2. $57 / 18 = 3.1666666666666665$
3. $3.16... | ((57 / 18) * 19) * cos(180) | -57.166666666666664 | trig | 2 | 5 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((log(16, 10) * 88) - 41) + 52. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $log(16, 10) = 1.2041199826559246$
2. $1.2041199826559246... | ((log(16, 10) * 88) - 41) + 52 | 116.96255847372136 | log | 4 | 4 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((10 + 83) / 91) * 1. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $10 + 83 = 93$
2. $93 / 91 = 1.021978021978022$
3. $1.02197802197... | ((10 + 83) / 91) * 1 | 1.021978021978022 | arithmetic | 3 | 3 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: 84 * cbrt(27). This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $cbrt(27) = 3$
2. $84 * 3 = 252$
The answer is $252$
3. Drafting the res... | 84 * cbrt(27) | 252 | power | 1 | 2 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((sqrt(49) / 76) + sqrt(49)) * tan(135). This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $sqrt(49) = 7$
2. $sqrt(49) = 7$
3. $tan(135) ... | ((sqrt(49) / 76) + sqrt(49)) * tan(135) | -7.0921052631578965 | mixed | 5 | 6 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: 77 / log(32, 2). This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $log(32, 2) = 5$
2. $77 / 5 = 15.4$
The answer is $15.4$
3. Drafting t... | 77 / log(32, 2) | 15.4 | log | 3 | 2 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((87 / 29) - sin(90)) * 37. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $sin(90) = 1$
2. $87 / 29 = 3$
3. $3 - 1 = 2$
4. $2 * 37 ... | ((87 / 29) - sin(90)) * 37 | 25 | trig | 4 | 5 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: (73 + 60) - 77. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $73 + 60 = 133$
2. $133 - 77 = 56$
The answer is $56$
3. Drafting the r... | (73 + 60) - 77 | 56 | arithmetic | 5 | 2 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: 71 / 30. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $71 / 30 = 2.3666666666666667$
The answer is $2.3666666666666667$
3. Drafting th... | 71 / 30 | 2.3666666666666667 | arithmetic | 4 | 1 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((8 + 92) + 23) + 40. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $8 + 92 = 100$
2. $100 + 23 = 123$
3. $123 + 40 = 163$
4. $163 ... | ((8 + 92) + 23) + 40 | 10432 | arithmetic | 3 | 4 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((2**2 - 1) * sqrt(64)) + sqrt(49). This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $2**2 = 4$
2. $sqrt(64) = 8$
3. $sqrt(49) = 7$
4.... | ((2**2 - 1) * sqrt(64)) + sqrt(49) | 0.543859649122807 | power | 5 | 7 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: (82 * 29) + 82. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $82 * 29 = 2378$
2. $2378 + 82 = 2460$
The answer is $2460$
3. Drafting... | (82 * 29) + 82 | 2460 | arithmetic | 4 | 2 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((csc(210) * 80) - sin(270)) + 64. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $csc(210) = -1.9999999999999996$
2. $sin(270) = -1$
... | ((csc(210) * 80) - sin(270)) + 64 | -94.99999999999997 | trig | 2 | 5 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((79 - log(46, 2)) + log(5, 3)) / 94. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $log(46, 2) = 5.523561956057013$
2. $log(5, 3) = 1.... | ((79 - log(46, 2)) + log(5, 3)) / 94 | 0.7972490591985205 | log | 5 | 5 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((cot(135) - sqrt(9)) - cbrt(8)) - sin(60). This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $cot(135) = -0.9999999999999998$
2. $sqrt(9) ... | ((cot(135) - sqrt(9)) - cbrt(8)) - sin(60) | -6.866025403784438 | mixed | 5 | 7 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((sqrt(4) * sqrt(49)) + tan(180)) - cos(180). This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $sqrt(4) = 2$
2. $sqrt(49) = 7$
3. $tan(1... | ((sqrt(4) * sqrt(49)) + tan(180)) - cos(180) | 15 | mixed | 3 | 7 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: sin(30) * 35. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $sin(30) = 0.49999999999999994$
2. $0.49999999999999994 * 35 = 17.499999999... | sin(30) * 35 | 17.499999999999996 | trig | 3 | 2 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((cos(60) - 26) / cbrt(8)) + 34. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $cos(60) = 0.5000000000000001$
2. $cbrt(8) = 2$
3. $0.... | ((cos(60) - 26) / cbrt(8)) + 34 | 21.25 | mixed | 2 | 5 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((sqrt(64) + 1) * 70) / sqrt(9). This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $sqrt(64) = 8$
2. $sqrt(9) = 3$
3. $8 + 1 = 9$
4. $9... | ((sqrt(64) + 1) * 70) / sqrt(9) | 210 | power | 2 | 5 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((sec(240) * 74) + 60) - 17. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $sec(240) = -1.9999999999999982$
2. $tan(30) = 0.57735026918... | ((sec(240) * 74) + 60) - 17 | -104.42264973081024 | trig | 5 | 6 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((sin(270) - 54) - 27) / sqrt(64). This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $sin(270) = -1$
2. $sqrt(64) = 8$
3. $log(47, 10) = ... | ((sin(270) - 54) - 27) / sqrt(64) | -17.139003043841104 | mixed | 1 | 7 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: (sec(30) / cos(360)) * csc(210). This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $sec(30) = 1.1547005383792515$
2. $cos(360) = 1$
3. $c... | (sec(30) / cos(360)) * csc(210) | -2.3094010767585025 | trig | 4 | 5 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((log(48, 10) * 31) * sqrt(100)) + sin(0). This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $log(48, 10) = 1.6812412373755872$
2. $sqrt(10... | ((log(48, 10) * 31) * sqrt(100)) + sin(0) | 521.184783586432 | mixed | 2 | 6 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((96 * cos(270)) - sqrt(81)) * 69. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $cos(270) = -1.8369701987210297e-16$
2. $sqrt(81) = 9$... | ((96 * cos(270)) - sqrt(81)) * 69 | -688.0000000000013 | mixed | 4 | 6 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((82 + cos(0)) + 52) + log(47, 3). This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $cos(0) = 1$
2. $log(47, 3) = 3.504555375379736$
3. ... | ((82 + cos(0)) + 52) + log(47, 3) | 138.50455537537974 | mixed | 3 | 5 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: (6 - 67) / cbrt(216). This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $cbrt(216) = 5.999999999999999$
2. $6 - 67 = -61$
3. $-61 / 5.999... | (6 - 67) / cbrt(216) | -10.166666666666668 | power | 4 | 3 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: 93 / sin(270). This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $sin(270) = -1$
2. $93 / -1 = -93$
The answer is $-93$
3. Drafting the r... | 93 / sin(270) | -93 | trig | 2 | 2 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((14 * sec(45)) / cos(45)) - 34. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $sec(45) = 1.414213562373095$
2. $cos(45) = 0.7071067811... | ((14 * sec(45)) / cos(45)) - 34 | -28.000000000000007 | trig | 1 | 6 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((log(16, 10) + 57) / tan(45)) - 75. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $log(16, 10) = 1.2041199826559246$
2. $tan(45) = 0.9... | ((log(16, 10) + 57) / tan(45)) - 75 | -16.795880017344068 | mixed | 3 | 5 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((90 * cot(315)) / 2) / cos(60). This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $cot(315) = -0.9999999999999996$
2. $cos(60) = 0.5000000... | ((90 * cot(315)) / 2) / cos(60) | -179.9999999999999 | mixed | 4 | 7 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: (tan(180) / 85) + 95. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $tan(180) = -1.2246467991473532e-16$
2. $-1.2246467991473532e-16 / ... | (tan(180) / 85) + 95 | 95 | trig | 5 | 3 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((cos(45) + sec(120)) * 1) + sin(90). This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $cos(45) = 0.7071067811865476$
2. $sec(120) = -2.00... | ((cos(45) + sec(120)) * 1) + sin(90) | -0.2928932188134534 | trig | 4 | 6 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((88 + sqrt(49)) - sqrt(64)) / 100. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $sqrt(49) = 7$
2. $sqrt(64) = 8$
3. $88 + 7 = 95$
... | ((88 + sqrt(49)) - sqrt(64)) / 100 | 22.87 | power | 2 | 6 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((50 - 99) * 94) / 61. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $50 - 99 = -49$
2. $-49 * 94 = -4606$
3. $-4606 / 61 = -75.50819... | ((50 - 99) * 94) / 61 | -127.50819672131148 | arithmetic | 1 | 4 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((cbrt(216) - 86) * 37) + 89. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $cbrt(216) = 5.999999999999999$
2. $5.999999999999999 - 86 ... | ((cbrt(216) - 86) * 37) + 89 | -319 | power | 5 | 5 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: (26 + 42) - 11. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $26 + 42 = 68$
2. $68 - 11 = 57$
The answer is $57$
3. Drafting the res... | (26 + 42) - 11 | 57 | arithmetic | 5 | 2 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: 58 - log(30, 5). This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $log(30, 5) = 2.1132827525593787$
2. $58 - 2.1132827525593787 = 55.88671... | 58 - log(30, 5) | 55.88671724744062 | log | 5 | 2 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: sin(90) * cos(90). This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $sin(90) = 1$
2. $cos(90) = 6.123233995736766e-17$
3. $1 * 6.1232339... | sin(90) * cos(90) | 6.123233995736766e-17 | trig | 2 | 3 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: (49 * 27) / log(20, 10). This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $log(20, 10) = 1.301029995663981$
2. $49 * 27 = 1323$
3. $1323... | (49 * 27) / log(20, 10) | 1016.8866239896388 | log | 3 | 3 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: 4**3 + 56. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $4**3 = 64$
2. $64 + 56 = 120$
The answer is $120$
3. Drafting the response:... | 4**3 + 56 | 120 | power | 2 | 2 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: 82 / 6. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $82 / 6 = 13.666666666666666$
The answer is $13.666666666666666$
3. Drafting the ... | 82 / 6 | 13.666666666666666 | arithmetic | 3 | 1 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: 51 - 65. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $51 - 65 = -14$
The answer is $-14$
3. Drafting the response: "Ответ на ваш запр... | 51 - 65 | -14 | arithmetic | 2 | 1 |
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