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: 81 / 20. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $81 / 20 = 4.05$
The answer is $4.05$
3. Drafting the response: "Ответ на ваш за... | 81 / 20 | 4.05 | arithmetic | 3 | 1 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: sqrt(81) / cbrt(64). This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $sqrt(81) = 9$
2. $cbrt(64) = 3.9999999999999996$
3. $9 / 3.999999... | sqrt(81) / cbrt(64) | 2.2500000000000004 | power | 5 | 3 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((78 + 49) - 11) - 100. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $78 + 49 = 127$
2. $127 - 11 = 116$
3. $116 - 100 = 16$
The a... | ((78 + 49) - 11) - 100 | 16 | arithmetic | 4 | 3 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((25 - 41) + cbrt(8)) + sqrt(36). This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $cbrt(8) = 2$
2. $sqrt(36) = 6$
3. $25 - 41 = -16$
... | ((25 - 41) + cbrt(8)) + sqrt(36) | -0.1038961038961039 | power | 4 | 6 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: (cos(270) + 6**2) * cbrt(125). 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. $6**2 = 36$
3. $... | (cos(270) + 6**2) * cbrt(125) | 179.99999999999997 | mixed | 3 | 5 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: 87 * 4**3. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $4**3 = 64$
2. $87 * 64 = 5568$
The answer is $5568$
3. Drafting the respons... | 87 * 4**3 | 5568 | power | 5 | 2 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: 89 + 62. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $89 + 62 = 151$
The answer is $151$
3. Drafting the response: "Ответ на ваш запр... | 89 + 62 | 151 | arithmetic | 4 | 1 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: 50 - 76. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $50 - 76 = -26$
The answer is $-26$
3. Drafting the response: "Ответ на ваш запр... | 50 - 76 | -26 | arithmetic | 2 | 1 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: 39 + cos(60). 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. $39 + 0.5000000000000001 = 39.5$
The an... | 39 + cos(60) | 39.5 | trig | 5 | 2 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((tan(45) / csc(30)) + 11) * cbrt(64). This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $tan(45) = 0.9999999999999999$
2. $csc(30) = 2.000... | ((tan(45) / csc(30)) + 11) * cbrt(64) | 45.99999999999999 | mixed | 5 | 6 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((51 / 53) - 7) * 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. $51 / 53 = 0.9622641509433962$
3. $0.962... | ((51 / 53) - 7) * sin(270) | 368.3018867924529 | trig | 2 | 5 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((66 * 21) + 41) - 4**3. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $4**3 = 64$
2. $66 * 21 = 1386$
3. $1386 + 41 = 1427$
4. $14... | ((66 * 21) + 41) - 4**3 | 1363 | power | 3 | 4 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((42 / 95) * cos(270)) * log(43, 3). 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. $log(43, 3) ... | ((42 / 95) * cos(270)) * log(43, 3) | 8 | mixed | 5 | 6 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((88 / 28) * 100) - 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. $cbrt(64) = 3.999999999999... | ((88 / 28) * 100) - tan(60) | 78.13841586953636 | mixed | 4 | 6 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: 60 - 30. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $60 - 30 = 30$
The answer is $30$
3. Drafting the response: "Ответ на ваш запрос... | 60 - 30 | 30 | arithmetic | 5 | 1 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((sqrt(64) + 18) + cos(180)) * log(38, 2). This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $sqrt(64) = 8$
2. $cos(180) = -1$
3. $log(38... | ((sqrt(64) + 18) + cos(180)) * log(38, 2) | 131.19818783608963 | mixed | 5 | 6 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: 93 / 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. $93 / 1.7320508075688767 = 53.69357503463... | 93 / tan(60) | 53.69357503463522 | trig | 4 | 2 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: cbrt(64) - sin(30). This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $cbrt(64) = 3.9999999999999996$
2. $sin(30) = 0.49999999999999994$
... | cbrt(64) - sin(30) | 3.4999999999999996 | mixed | 4 | 3 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: sin(0) * sin(60). This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $sin(0) = 0$
2. $sin(60) = 0.8660254037844386$
3. $0 * 0.866025403784... | sin(0) * sin(60) | 0 | trig | 3 | 3 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: 53 - 35. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $53 - 35 = 18$
The answer is $18$
3. Drafting the response: "Ответ на ваш запрос... | 53 - 35 | 18 | arithmetic | 2 | 1 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((83 + 86) + 46) / 27. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $83 + 86 = 169$
2. $169 + 46 = 215$
3. $215 / 27 = 7.96296296296... | ((83 + 86) + 46) / 27 | -8.037037037037038 | arithmetic | 4 | 4 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((70 * 9) + 99) + 25. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $70 * 9 = 630$
2. $630 + 99 = 729$
3. $729 + 25 = 754$
The answ... | ((70 * 9) + 99) + 25 | 754 | arithmetic | 2 | 3 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: (90 * sin(180)) * tan(45). 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. $tan(45) = 0.9999999999... | (90 * sin(180)) * tan(45) | 1.1021821192326178e-14 | trig | 4 | 4 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((sin(60) * 70) - sqrt(16)) - log(30, 2). This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $sin(60) = 0.8660254037844386$
2. $sqrt(16) = 4... | ((sin(60) * 70) - sqrt(16)) - log(30, 2) | -51.714887669302186 | mixed | 3 | 8 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: 44 + 100. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $44 + 100 = 144$
The answer is $144$
3. Drafting the response: "Ответ на ваш за... | 44 + 100 | 144 | arithmetic | 3 | 1 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: 28 * cot(45). This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $cot(45) = 1.0000000000000002$
2. $28 * 1.0000000000000002 = 28.00000000000... | 28 * cot(45) | 28.000000000000007 | trig | 5 | 2 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: (46 * sin(60)) / sin(30). This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $sin(60) = 0.8660254037844386$
2. $sin(30) = 0.4999999999999999... | (46 * sin(60)) / sin(30) | 79.67433714816836 | trig | 2 | 4 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((cbrt(64) - 22) * sin(45)) - 30. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $cbrt(64) = 3.9999999999999996$
2. $sin(45) = 0.7071067... | ((cbrt(64) - 22) * sin(45)) - 30 | -42.72792206135786 | mixed | 3 | 5 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: log(12, 5) / 25. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $log(12, 5) = 1.5439593106327716$
2. $1.5439593106327716 / 25 = 0.061758... | log(12, 5) / 25 | 0.06175837242531086 | log | 1 | 2 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((log(45, 10) * 39) + 37) * 84. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $log(45, 10) = 1.6532125137753435$
2. $1.6532125137753435... | ((log(45, 10) * 39) + 37) * 84 | 8523.924195128026 | log | 4 | 4 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: 84 + sin(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. $84 + 1 = 85$
The answer is $85$
3. Drafting the respons... | 84 + sin(90) | 85 | trig | 4 | 2 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((log(2, 10) + cos(30)) * 63) / sqrt(49). This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $log(2, 10) = 0.30102999566398114$
2. $cos(30) ... | ((log(2, 10) + cos(30)) * 63) / sqrt(49) | 10.50349859503578 | mixed | 2 | 6 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: 18 - 62. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $18 - 62 = -44$
The answer is $-44$
3. Drafting the response: "Ответ на ваш запр... | 18 - 62 | -44 | arithmetic | 4 | 1 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: (72 + tan(45)) - 88. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $tan(45) = 0.9999999999999999$
2. $72 + 0.9999999999999999 = 73$
3... | (72 + tan(45)) - 88 | -15 | trig | 4 | 3 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((97 / 37) * 85) - sec(60). This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $sec(60) = 1.9999999999999996$
2. $97 / 37 = 2.62162162162162... | ((97 / 37) * 85) - sec(60) | 220.83783783783784 | trig | 2 | 4 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: 3**4 - 97. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $3**4 = 81$
2. $81 - 97 = -16$
The answer is $-16$
3. Drafting the response:... | 3**4 - 97 | -16 | power | 4 | 2 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((5 + cot(90)) + 7) / 98. 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. $5 + 6.123233995736766e-17... | ((5 + cot(90)) + 7) / 98 | 0.12244897959183673 | trig | 4 | 4 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((22 / log(34, 5)) / log(36, 3)) / 82. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $log(34, 5) = 2.1910509857959815$
2. $log(36, 3) =... | ((22 / log(34, 5)) / log(36, 3)) / 82 | 0.03753972555694219 | mixed | 1 | 7 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((47 / log(12, 2)) / 25) + sin(180). This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $log(12, 2) = 3.5849625007211565$
2. $sin(180) = 1.2... | ((47 / log(12, 2)) / 25) + sin(180) | 41.52441273782412 | mixed | 2 | 6 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: (cos(45) / log(6, 2)) + cbrt(27). 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(6, 2) = 2.584962... | (cos(45) / log(6, 2)) + cbrt(27) | 3.2735462433165967 | mixed | 1 | 5 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: (cot(315) + 40) - 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) = 0.5000000000000... | (cot(315) + 40) - cos(60) | 38.5 | trig | 3 | 4 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((97 * sqrt(100)) / 12) + 7. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $sqrt(100) = 10$
2. $97 * 10 = 970$
3. $970 / 12 = 80.8333... | ((97 * sqrt(100)) / 12) + 7 | 5270 | power | 5 | 5 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((37 / sqrt(4)) / tan(30)) * cot(30). This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $sqrt(4) = 2$
2. $tan(30) = 0.5773502691896257$
3... | ((37 / sqrt(4)) / tan(30)) * cot(30) | 1831.5000000000002 | mixed | 3 | 7 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: 89 + cos(0). This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $cos(0) = 1$
2. $89 + 1 = 90$
The answer is $90$
3. Drafting the response:... | 89 + cos(0) | 90 | trig | 3 | 2 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((log(37, 2) * 100) - 16) - tan(0). This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $log(37, 2) = 5.20945336562895$
2. $tan(0) = 0$
3. ... | ((log(37, 2) * 100) - 16) - tan(0) | 504.945336562895 | mixed | 5 | 5 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: (tan(30) - cot(30)) * 51. 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. $cot(30) = 1.7320508075688774... | (tan(30) - cot(30)) * 51 | -58.889727457341834 | trig | 3 | 4 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((27 - sqrt(64)) + 5**3) + 83. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $sqrt(64) = 8$
2. $5**3 = 125$
3. $tan(225) = 0.99999999... | ((27 - sqrt(64)) + 5**3) + 83 | 228 | mixed | 3 | 7 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((sin(30) / sqrt(100)) * cbrt(64)) - 79. 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. $sqrt(100) = ... | ((sin(30) / sqrt(100)) * cbrt(64)) - 79 | -78.8 | mixed | 5 | 8 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: sin(180) - sqrt(100). 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. $sqrt(100) = 10$
3. $1.224... | sin(180) - sqrt(100) | -10 | mixed | 4 | 3 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((93 - 2) - 28) - cos(0). This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $cos(0) = 1$
2. $93 - 2 = 91$
3. $91 - 28 = 63$
4. $63 - 1 ... | ((93 - 2) - 28) - cos(0) | 62 | trig | 4 | 4 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: sqrt(16) - 85. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $sqrt(16) = 4$
2. $4 - 85 = -81$
The answer is $-81$
3. Drafting the res... | sqrt(16) - 85 | -81 | power | 2 | 2 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: (sec(120) * tan(180)) + 81. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $sec(120) = -2.000000000000001$
2. $tan(180) = -1.22464679914... | (sec(120) * tan(180)) + 81 | 81 | trig | 4 | 4 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: 27 / 91. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $27 / 91 = 0.2967032967032967$
The answer is $0.2967032967032967$
3. Drafting th... | 27 / 91 | 0.2967032967032967 | arithmetic | 2 | 1 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: cos(60) / 26. 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. $0.5000000000000001 / 26 = 0.019230769230... | cos(60) / 26 | 0.019230769230769235 | trig | 5 | 2 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((96 * 38) / 7) * 21. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $96 * 38 = 3648$
2. $3648 / 7 = 521.1428571428571$
3. $521.142857... | ((96 * 38) / 7) * 21 | 10944 | arithmetic | 1 | 3 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: 83 + sin(180). 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. $83 + 1.2246467991473532e-16 = 83$
... | 83 + sin(180) | 83 | trig | 2 | 2 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: (14 / sin(270)) * 52. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $sin(270) = -1$
2. $14 / -1 = -14$
3. $-14 * 52 = -728$
The ans... | (14 / sin(270)) * 52 | -728 | trig | 5 | 3 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: (80 - log(36, 3)) - 6**3. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $log(36, 3) = 3.2618595071429146$
2. $6**3 = 216$
3. $80 - 3.... | (80 - log(36, 3)) - 6**3 | -139.2618595071429 | mixed | 4 | 4 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: (51 * 90) + sin(30). 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. $51 * 90 = 4590$
3. $4590 + 0.4... | (51 * 90) + sin(30) | 4590.5 | trig | 3 | 3 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: (82 - 73) - cos(30). 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. $82 - 73 = 9$
3. $9 - 0.86602540... | (82 - 73) - cos(30) | 8.13397459621556 | trig | 2 | 3 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((2**4 - 16) - 30) / 67. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $2**4 = 16$
2. $16 - 16 = 0$
3. $0 - 30 = -30$
4. $-30 / 67 ... | ((2**4 - 16) - 30) / 67 | -0.00814111261872456 | power | 1 | 5 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: 92 / 3**4. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $3**4 = 81$
2. $92 / 81 = 1.1358024691358024$
The answer is $1.1358024691358... | 92 / 3**4 | 1.1358024691358024 | power | 5 | 2 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((86 + 65) / log(26, 10)) * 82. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $log(26, 10) = 1.414973347970818$
2. $86 + 65 = 151$
3.... | ((86 + 65) / log(26, 10)) * 82 | 8750.694857791317 | log | 1 | 4 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: (log(41, 3) + sqrt(64)) + 77. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $log(41, 3) = 3.380238966019955$
2. $sqrt(64) = 8$
3. $3.... | (log(41, 3) + sqrt(64)) + 77 | 88.38023896601996 | mixed | 2 | 4 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: (17 / 51) + tan(360). This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $tan(360) = -2.4492935982947064e-16$
2. $17 / 51 = 0.33333333333333... | (17 / 51) + tan(360) | 0.3333333333333331 | trig | 1 | 3 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((6 - 6**4) - 66) + 17. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $6**4 = 1296$
2. $tan(45) = 0.9999999999999999$
3. $6 - 1296 = ... | ((6 - 6**4) - 66) + 17 | -1338.9999999999998 | mixed | 4 | 6 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: (log(15, 5) + cot(270)) + sin(360). This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $log(15, 5) = 1.6826061944859854$
2. $cot(270) = 1.83... | (log(15, 5) + cot(270)) + sin(360) | 1.6826061944859854 | mixed | 3 | 5 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((12 * 59) + 65) - 100. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $12 * 59 = 708$
2. $708 + 65 = 773$
3. $773 - 100 = 673$
The ... | ((12 * 59) + 65) - 100 | 673 | arithmetic | 2 | 3 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: 58 * 52. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $58 * 52 = 3016$
The answer is $3016$
3. Drafting the response: "Ответ на ваш за... | 58 * 52 | 3016 | arithmetic | 1 | 1 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: (8 * 62) + cot(270). This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $cot(270) = 1.83697019872103e-16$
2. $8 * 62 = 496$
3. $496 + 1.83... | (8 * 62) + cot(270) | 496 | trig | 1 | 3 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((53 + 34) + cos(270)) + 71. 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. $53 + 34 = 87$
3. ... | ((53 + 34) + cos(270)) + 71 | 74 | trig | 1 | 5 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: (cos(270) - log(28, 10)) + 53. 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. $log(28, 10) = 1.4... | (cos(270) - log(28, 10)) + 53 | 51.55284196865778 | mixed | 4 | 4 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: (tan(315) * cos(180)) * 34. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $tan(315) = -1.0000000000000004$
2. $cos(180) = -1$
3. $-1.... | (tan(315) * cos(180)) * 34 | 34.000000000000014 | trig | 1 | 4 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: (70 * 49) * 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. $70 * 49 = 3430$
3. $3430 * -... | (70 * 49) * sec(240) | -6859.999999999994 | trig | 4 | 3 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: 88 - 85. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $88 - 85 = 3$
The answer is $3$
3. Drafting the response: "Ответ на ваш запрос в... | 88 - 85 | 3 | arithmetic | 2 | 1 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: (14 / sin(90)) * 45. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $sin(90) = 1$
2. $14 / 1 = 14$
3. $14 * 45 = 630$
The answer is ... | (14 / sin(90)) * 45 | 630 | trig | 5 | 3 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((sqrt(16) * 22) - tan(135)) + 48. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $sqrt(16) = 4$
2. $tan(135) = -1.0000000000000002$
3... | ((sqrt(16) * 22) - tan(135)) + 48 | 22.833333333333336 | mixed | 1 | 7 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((95 * sin(270)) / 11) * sqrt(25). This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $sin(270) = -1$
2. $sqrt(25) = 5$
3. $95 * -1 = -95$... | ((95 * sin(270)) / 11) * sqrt(25) | -43.18181818181819 | mixed | 2 | 5 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: (csc(150) + 61) - 24. 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. $2.0000000000000004 + 61 = 63$
... | (csc(150) + 61) - 24 | 39 | trig | 3 | 3 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((log(17, 2) + tan(360)) / 44) - tan(225). This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $log(17, 2) = 4.08746284125034$
2. $tan(360) =... | ((log(17, 2) + tan(360)) / 44) - tan(225) | -0.3297528480546842 | mixed | 4 | 8 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((80 / 21) * cos(270)) + cot(270). 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. $cot(270) = 1.... | ((80 / 21) * cos(270)) + cot(270) | -5.161011510692416e-16 | trig | 4 | 5 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((75 / 87) + 75) * sqrt(64). This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $sqrt(64) = 8$
2. $6**4 = 1296$
3. $75 / 87 = 0.8620689655... | ((75 / 87) + 75) * sqrt(64) | 0.4682843763303533 | power | 3 | 6 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((23 / 32) + sin(270)) - cbrt(125). This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $sin(270) = -1$
2. $cbrt(125) = 4.999999999999999$
... | ((23 / 32) + sin(270)) - cbrt(125) | -7.468815376282906 | mixed | 4 | 7 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((18 * 41) / 86) / 10. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $log(7, 10) = 0.8450980400142567$
2. $18 * 41 = 738$
3. $738 / 8... | ((18 * 41) / 86) / 10 | 1.7032375748979776 | log | 3 | 5 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((tan(360) / 75) / 47) / 23. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $tan(360) = -2.4492935982947064e-16$
2. $cos(60) = 0.5000000... | ((tan(360) / 75) / 47) / 23 | -6.04204402909579e-21 | trig | 5 | 6 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: (sin(270) - sin(360)) / 72. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $sin(270) = -1$
2. $sin(360) = -2.4492935982947064e-16$
3. ... | (sin(270) - sin(360)) / 72 | -0.013888888888888886 | trig | 1 | 4 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: 25 + 49. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $25 + 49 = 74$
The answer is $74$
3. Drafting the response: "Ответ на ваш запрос... | 25 + 49 | 74 | arithmetic | 1 | 1 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: (5**4 - 29) - tan(225). This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $5**4 = 625$
2. $tan(225) = 0.9999999999999997$
3. $625 - 29 = ... | (5**4 - 29) - tan(225) | 595 | mixed | 2 | 4 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: (4**2 + 97) / sin(90). This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $4**2 = 16$
2. $sin(90) = 1$
3. $16 + 97 = 113$
4. $113 / 1 = ... | (4**2 + 97) / sin(90) | 113 | mixed | 4 | 4 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((sin(45) / sqrt(49)) - 11) + 36. 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. $sqrt(49) = 7$
3. $... | ((sin(45) / sqrt(49)) - 11) + 36 | 25.10101525445522 | mixed | 3 | 5 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((sqrt(16) + 45) + 31) + 40. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $sqrt(16) = 4$
2. $sec(60) = 1.9999999999999996$
3. $4 + 4... | ((sqrt(16) + 45) + 31) + 40 | 122 | mixed | 4 | 6 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: (84 * 79) * 41. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $84 * 79 = 6636$
2. $6636 * 41 = 272076$
The answer is $272076$
3. Draf... | (84 * 79) * 41 | 272076 | arithmetic | 2 | 2 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((csc(60) - 89) + 43) / log(48, 5). This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $csc(60) = 1.1547005383792517$
2. $log(48, 5) = 2.405... | ((csc(60) - 89) + 43) / log(48, 5) | 9.32213606896455 | mixed | 4 | 7 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: (sqrt(25) / cot(60)) * sqrt(4). This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $sqrt(25) = 5$
2. $cot(60) = 0.577350269189626$
3. $sqr... | (sqrt(25) / cot(60)) * sqrt(4) | 17.320508075688767 | mixed | 1 | 5 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: sin(45) + sqrt(64). 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. $sqrt(64) = 8$
3. $0.707106781186... | sin(45) + sqrt(64) | 8.707106781186548 | mixed | 5 | 3 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((24 + 27) - cot(225)) + 3. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $cot(225) = 1.0000000000000004$
2. $24 + 27 = 51$
3. $51 - ... | ((24 + 27) - cot(225)) + 3 | 53 | trig | 4 | 4 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: sqrt(36) + log(39, 10). This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $sqrt(36) = 6$
2. $log(39, 10) = 1.591064607026499$
3. $6 + 1.5... | sqrt(36) + log(39, 10) | 7.5910646070264995 | mixed | 4 | 3 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((37 * 3**3) * 14) / 42. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $3**3 = 27$
2. $37 * 27 = 999$
3. $999 * 14 = 13986$
4. $139... | ((37 * 3**3) * 14) / 42 | 333 | power | 2 | 4 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: 92 + 17. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $92 + 17 = 109$
The answer is $109$
3. Drafting the response: "Ответ на ваш запр... | 92 + 17 | 109 | arithmetic | 3 | 1 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: log(10, 10) + cos(360). This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $log(10, 10) = 1$
2. $cos(360) = 1$
3. $1 + 1 = 2$
The answer... | log(10, 10) + cos(360) | 2 | mixed | 4 | 3 |
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