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: (sec(0) * 34) * 32. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $sec(0) = 1$
2. $1 * 34 = 34$
3. $34 * 32 = 1088$
The answer is $... | (sec(0) * 34) * 32 | 1088 | trig | 3 | 3 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: log(16, 5) + 11. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $log(16, 5) = 1.7227062322935722$
2. $1.7227062322935722 + 11 = 12.72270... | log(16, 5) + 11 | 12.722706232293572 | log | 4 | 2 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: 94 + 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. $94 + 0.8660254037844387 = 94.86602540378... | 94 + cos(30) | 94.86602540378443 | trig | 5 | 2 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: (cbrt(27) + 47) * cos(30). This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $cbrt(27) = 3$
2. $cos(30) = 0.8660254037844387$
3. $3 + 47 ... | (cbrt(27) + 47) * cos(30) | 43.30127018922194 | mixed | 1 | 4 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((78 - log(39, 5)) - 55) - sqrt(49). This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $log(39, 5) = 2.276298835653068$
2. $sqrt(49) = 7$
... | ((78 - log(39, 5)) - 55) - sqrt(49) | -30.276298835653066 | mixed | 3 | 6 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((71 + 47) + sec(0)) * 11. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $sec(0) = 1$
2. $71 + 47 = 118$
3. $118 + 1 = 119$
4. $119... | ((71 + 47) + sec(0)) * 11 | 1237 | trig | 2 | 5 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: 23 / 39. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $23 / 39 = 0.5897435897435898$
The answer is $0.5897435897435898$
3. Drafting th... | 23 / 39 | 0.5897435897435898 | arithmetic | 2 | 1 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((73 / 4**2) - 96) + 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. $73 / 16 = 4.5625$
4. $... | ((73 / 4**2) - 96) + sin(90) | -90.4375 | mixed | 4 | 5 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((6 - 87) / 100) * 24. 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. $6 - 87 = -81$
3. $-81 / 100 ... | ((6 - 87) / 100) * 24 | -18.94 | trig | 1 | 5 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: (80 - 47) + 33. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $80 - 47 = 33$
2. $33 + 33 = 66$
The answer is $66$
3. Drafting the res... | (80 - 47) + 33 | 66 | arithmetic | 5 | 2 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: cos(60) - 94. 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. $0.5000000000000001 - 94 = -93.5$
The a... | cos(60) - 94 | -93.5 | trig | 3 | 2 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: sin(30) - 82. 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. $0.49999999999999994 - 82 = -81.5$
The... | sin(30) - 82 | -81.5 | trig | 3 | 2 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: (31 + log(34, 3)) + cos(45). This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $log(34, 3) = 3.2098316767340234$
2. $cos(45) = 0.7071067811... | (31 + log(34, 3)) + cos(45) | 34.91693845792057 | mixed | 1 | 4 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((31 + 98) + 38) * 44. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $31 + 98 = 129$
2. $129 + 38 = 167$
3. $167 * 44 = 7348$
The a... | ((31 + 98) + 38) * 44 | 7348 | arithmetic | 2 | 3 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: sqrt(64) / sin(45). This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $sqrt(64) = 8$
2. $sin(45) = 0.7071067811865476$
3. $8 / 0.70710678... | sqrt(64) / sin(45) | 11.31370849898476 | mixed | 1 | 3 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: (35 / 71) - 25. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $35 / 71 = 0.49295774647887325$
2. $0.49295774647887325 - 25 = -24.507042... | (35 / 71) - 25 | -24.507042253521128 | arithmetic | 4 | 2 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: tan(135) - log(23, 3). This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $tan(135) = -1.0000000000000002$
2. $log(23, 3) = 2.85404983020027... | tan(135) - log(23, 3) | -3.854049830200271 | mixed | 5 | 3 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((12 + 16) + 82) - 91. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $12 + 16 = 28$
2. $28 + 82 = 110$
3. $110 - 91 = 19$
4. $19 + ... | ((12 + 16) + 82) - 91 | 56 | arithmetic | 3 | 4 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: sqrt(4) - 79. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $sqrt(4) = 2$
2. $2 - 79 = -77$
The answer is $-77$
3. Drafting the respo... | sqrt(4) - 79 | -77 | power | 1 | 2 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((87 + cot(225)) / 25) / 74. 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. $87 + 1.0000000000000004 ... | ((87 + cot(225)) / 25) / 74 | 0.04756756756756757 | trig | 5 | 4 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: (sqrt(64) + log(15, 10)) + sqrt(36). This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $sqrt(64) = 8$
2. $log(15, 10) = 1.1760912590556811$... | (sqrt(64) + log(15, 10)) + sqrt(36) | 15.176091259055681 | mixed | 5 | 5 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((cbrt(27) / log(18, 3)) - 97) - 11. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $cbrt(27) = 3$
2. $log(18, 3) = 2.630929753571457$
... | ((cbrt(27) / log(18, 3)) - 97) - 11 | -61.69548735688737 | mixed | 4 | 7 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((sin(360) * 87) * 2) - 2. 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. $-2.4492935982947064e-... | ((sin(360) * 87) * 2) - 2 | -2.0000000000000426 | trig | 5 | 4 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: (log(38, 10) - 95) - cos(90). This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $log(38, 10) = 1.57978359661681$
2. $cos(90) = 6.1232339957... | (log(38, 10) - 95) - cos(90) | -93.4202164033832 | mixed | 2 | 4 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: (82 * 48) * 65. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $82 * 48 = 3936$
2. $3936 * 65 = 255840$
The answer is $255840$
3. Draf... | (82 * 48) * 65 | 255840 | arithmetic | 3 | 2 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: 52 * sqrt(25). This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $sqrt(25) = 5$
2. $52 * 5 = 260$
The answer is $260$
3. Drafting the res... | 52 * sqrt(25) | 260 | power | 2 | 2 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: sqrt(36) + 36. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $sqrt(36) = 6$
2. $6 + 36 = 42$
The answer is $42$
3. Drafting the respo... | sqrt(36) + 36 | 42 | power | 2 | 2 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((sin(90) + 73) - sin(0)) / sqrt(4). This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $sin(90) = 1$
2. $sin(0) = 0$
3. $sqrt(4) = 2$
4... | ((sin(90) + 73) - sin(0)) / sqrt(4) | 5.285714285714286 | mixed | 5 | 8 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((cos(0) + 39) * 44) - 54. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $cos(0) = 1$
2. $6**2 = 36$
3. $1 + 39 = 40$
4. $40 * 44 =... | ((cos(0) + 39) * 44) - 54 | 61416 | mixed | 4 | 6 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: 79 * 91. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $79 * 91 = 7189$
The answer is $7189$
3. Drafting the response: "Ответ на ваш за... | 79 * 91 | 7189 | arithmetic | 4 | 1 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: (log(41, 2) / 18) + 93. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $log(41, 2) = 5.357552004618084$
2. $5.357552004618084 / 18 = 0.2... | (log(41, 2) / 18) + 93 | 93.29764177803433 | log | 5 | 3 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((log(48, 5) - 61) - cbrt(64)) * 59. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $log(48, 5) = 2.405312426779558$
2. $cbrt(64) = 3.99... | ((log(48, 5) - 61) - cbrt(64)) * 59 | -3685.086566820006 | mixed | 4 | 6 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((77 / tan(225)) + 16) * 6**3. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $tan(225) = 0.9999999999999997$
2. $6**3 = 216$
3. $77 /... | ((77 / tan(225)) + 16) * 6**3 | 1004400.0000000003 | mixed | 1 | 6 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: (log(22, 2) - sin(0)) - cos(60). This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $log(22, 2) = 4.459431618637297$
2. $sin(0) = 0$
3. $c... | (log(22, 2) - sin(0)) - cos(60) | 3.9594316186372973 | mixed | 1 | 5 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: 89 / 81. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $89 / 81 = 1.0987654320987654$
The answer is $1.0987654320987654$
3. Drafting th... | 89 / 81 | 1.0987654320987654 | arithmetic | 1 | 1 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: (23 * log(9, 5)) * 4. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $log(9, 5) = 1.3652123889719707$
2. $23 * 1.3652123889719707 = 31.3... | (23 * log(9, 5)) * 4 | 125.59953978542131 | log | 4 | 3 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: (3**2 / 53) + 100. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $3**2 = 9$
2. $9 / 53 = 0.16981132075471697$
3. $0.16981132075471697... | (3**2 / 53) + 100 | 100.16981132075472 | power | 3 | 3 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((cos(60) * 33) / 67) / 63. 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 * 33 = ... | ((cos(60) * 33) / 67) / 63 | 0.003909026297085999 | trig | 2 | 4 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((sin(180) * log(41, 3)) - sqrt(81)) + 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. $log(41... | ((sin(180) * log(41, 3)) - sqrt(81)) + 58 | 49 | mixed | 5 | 6 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((5**2 + 66) * cos(360)) - 80. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $5**2 = 25$
2. $cos(360) = 1$
3. $25 + 66 = 91$
4. $91... | ((5**2 + 66) * cos(360)) - 80 | 11 | mixed | 5 | 5 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: (92 / 20) + 74. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $92 / 20 = 4.6$
2. $4.6 + 74 = 78.6$
The answer is $78.6$
3. Drafting t... | (92 / 20) + 74 | 78.6 | arithmetic | 3 | 2 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((60 * cos(30)) / cbrt(64)) / sqrt(36). 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. $cbrt(64) = 3.9... | ((60 * cos(30)) / cbrt(64)) / sqrt(36) | 2.165063509461097 | mixed | 3 | 6 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((log(8, 2) + 84) / 32) * log(27, 10). This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $log(8, 2) = 3$
2. $log(27, 10) = 1.43136376415898... | ((log(8, 2) + 84) / 32) * log(27, 10) | 0.0926552436620773 | log | 5 | 6 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: 9 + 64. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $9 + 64 = 73$
The answer is $73$
3. Drafting the response: "Ответ на ваш запрос в... | 9 + 64 | 73 | arithmetic | 2 | 1 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: (13 + 36) + sqrt(9). This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $sqrt(9) = 3$
2. $13 + 36 = 49$
3. $49 + 3 = 52$
The answer is $... | (13 + 36) + sqrt(9) | 52 | power | 5 | 3 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: (21 - 27) + 1. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $21 - 27 = -6$
2. $-6 + 1 = -5$
The answer is $-5$
3. Drafting the respo... | (21 - 27) + 1 | -5 | arithmetic | 3 | 2 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((sqrt(9) / cos(0)) - cos(180)) - 9. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $sqrt(9) = 3$
2. $cos(0) = 1$
3. $cos(180) = -1$
... | ((sqrt(9) / cos(0)) - cos(180)) - 9 | 92 | mixed | 1 | 7 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((62 - 20) + cbrt(64)) / 80. 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. $62 - 20 = 42$
3. $42 +... | ((62 - 20) + cbrt(64)) / 80 | 0.575 | power | 5 | 4 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: sqrt(16) - 59. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $sqrt(16) = 4$
2. $4 - 59 = -55$
The answer is $-55$
3. Drafting the res... | sqrt(16) - 59 | -55 | power | 2 | 2 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: (log(44, 3) + 15) + 84. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $log(44, 3) = 3.4445178457870527$
2. $3.4445178457870527 + 15 = 1... | (log(44, 3) + 15) + 84 | 102.44451784578706 | log | 5 | 3 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: 93 + 35. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $93 + 35 = 128$
The answer is $128$
3. Drafting the response: "Ответ на ваш запр... | 93 + 35 | 128 | arithmetic | 5 | 1 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: (23 / 24) * 85. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $23 / 24 = 0.9583333333333334$
2. $0.9583333333333334 * 85 = 81.458333333... | (23 / 24) * 85 | 81.45833333333334 | arithmetic | 4 | 2 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: (cos(60) / 85) * sin(30). 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) = 0.4999999999999999... | (cos(60) / 85) * sin(30) | 0.0029411764705882357 | trig | 2 | 4 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: 55 / log(43, 3). This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $log(43, 3) = 3.423591884497679$
2. $55 / 3.423591884497679 = 16.0649989... | 55 / log(43, 3) | 16.06499894132965 | log | 2 | 2 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((21 - 4**2) + 42) / 48. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $4**2 = 16$
2. $21 - 16 = 5$
3. $5 + 42 = 47$
4. $47 / 48 = ... | ((21 - 4**2) + 42) / 48 | 77.97916666666667 | power | 1 | 5 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: cos(0) / 93. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $cos(0) = 1$
2. $1 / 93 = 0.010752688172043012$
The answer is $0.010752688... | cos(0) / 93 | 0.010752688172043012 | trig | 1 | 2 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: (80 / 32) / 21. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $80 / 32 = 2.5$
2. $2.5 / 21 = 0.11904761904761904$
The answer is $0.11... | (80 / 32) / 21 | 0.11904761904761904 | arithmetic | 3 | 2 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: (cot(270) / sec(0)) * 37. 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. $sec(0) = 1$
3. $1.83697... | (cot(270) / sec(0)) * 37 | 6.796789735267811e-15 | trig | 5 | 4 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((75 + 8) - tan(180)) - 67. 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. $75 + 8 = 83$
3. $8... | ((75 + 8) - tan(180)) - 67 | 0.17391304347826086 | trig | 1 | 5 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: (80 / 3**4) / sin(90). This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $3**4 = 81$
2. $sin(90) = 1$
3. $80 / 81 = 0.9876543209876543$
... | (80 / 3**4) / sin(90) | 0.9876543209876543 | mixed | 5 | 4 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: (33 + cos(60)) + sec(0). 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. $sec(0) = 1$
3. $33 + 0.5000... | (33 + cos(60)) + sec(0) | 34.5 | trig | 2 | 4 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((20 * cot(315)) / 24) - 4**2. 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. $4**2 = 16$
3. $20 *... | ((20 * cot(315)) / 24) - 4**2 | -16.833333333333332 | mixed | 5 | 5 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((cbrt(8) + 4**2) * 82) - 89. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $cbrt(8) = 2$
2. $4**2 = 16$
3. $2 + 16 = 18$
4. $18 * ... | ((cbrt(8) + 4**2) * 82) - 89 | 1324 | power | 4 | 6 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: (sin(0) / 37) / 97. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $sin(0) = 0$
2. $0 / 37 = 0$
3. $0 / 97 = 0$
The answer is $0$
3.... | (sin(0) / 37) / 97 | 0 | trig | 4 | 3 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((44 + csc(60)) / log(45, 5)) + cbrt(8). 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(45, 5) = ... | ((44 + csc(60)) / log(45, 5)) + cbrt(8) | 21.091182148764894 | mixed | 5 | 6 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((43 / 24) * 91) / log(50, 3). This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $log(50, 3) = 3.5608767950073115$
2. $43 / 24 = 1.79166666... | ((43 / 24) * 91) / log(50, 3) | 45.7869440737929 | log | 2 | 4 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((15 + 85) + log(48, 2)) * 16. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $log(48, 2) = 5.584962500721157$
2. $log(18, 10) = 1.25527... | ((15 + 85) + log(48, 2)) * 16 | 1690.6146725166418 | log | 3 | 6 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((40 * 27) - cot(315)) / tan(30). 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. $tan(30) = 0.577350... | ((40 * 27) - cot(315)) / tan(30) | 1872.3469229819564 | trig | 1 | 5 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((81 * sin(360)) + 48) / 53. 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. $81 * -2.44929359829... | ((81 * sin(360)) + 48) / 53 | 0.9056603773584901 | trig | 2 | 4 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((92 + cos(45)) + 29) * 17. 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. $92 + 0.7071067811865476 = ... | ((92 + cos(45)) + 29) * 17 | 16552.166522241372 | trig | 1 | 5 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: (27 - sin(180)) - 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. $27 - 1.2246467991473532e-16... | (27 - sin(180)) - 64 | -37 | trig | 4 | 3 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((sec(60) * 88) - 93) * 23. 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. $1.9999999999999996 * 88 = ... | ((sec(60) * 88) - 93) * 23 | 1908.9999999999993 | trig | 3 | 4 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((47 * 1) - 48) - 32. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $sqrt(49) = 7$
2. $47 * 1 = 47$
3. $47 - 48 = -1$
4. $-1 - 32 =... | ((47 * 1) - 48) - 32 | -40 | power | 1 | 5 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((sin(0) - 68) / 16) * 29. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $sin(0) = 0$
2. $sin(45) = 0.7071067811865476$
3. $0 - 68 = ... | ((sin(0) - 68) / 16) * 29 | -123.95710678118655 | trig | 5 | 6 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: (20 - sin(180)) / cbrt(125). 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. $cbrt(125) = 4.999999... | (20 - sin(180)) / cbrt(125) | 4.000000000000001 | mixed | 5 | 4 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: 5 * 63. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $5 * 63 = 315$
The answer is $315$
3. Drafting the response: "Ответ на ваш запрос... | 5 * 63 | 315 | arithmetic | 2 | 1 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: 97 * 3**2. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $3**2 = 9$
2. $97 * 9 = 873$
The answer is $873$
3. Drafting the response: "... | 97 * 3**2 | 873 | power | 4 | 2 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((cos(0) / 52) / 32) / 90. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $cos(0) = 1$
2. $csc(90) = 1$
3. $1 / 52 = 0.019230769230769... | ((cos(0) / 52) / 32) / 90 | -0.9999933226495726 | trig | 5 | 6 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: 29 + 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. $29 + 1.414213562373095 = 30.4142135623730... | 29 + csc(45) | 30.414213562373096 | trig | 2 | 2 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((97 / 21) / 76) / 39. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $97 / 21 = 4.619047619047619$
2. $4.619047619047619 / 76 = 0.06077... | ((97 / 21) / 76) / 39 | 16.00155838313733 | arithmetic | 2 | 4 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((36 - 17) - 11) + cbrt(64). 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. $36 - 17 = 19$
3. $19 -... | ((36 - 17) - 11) + cbrt(64) | 12 | power | 2 | 4 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: log(31, 10) + 94. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $log(31, 10) = 1.4913616938342726$
2. $1.4913616938342726 + 94 = 95.491... | log(31, 10) + 94 | 95.49136169383428 | log | 1 | 2 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: (48 / 33) + 56. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $48 / 33 = 1.4545454545454546$
2. $1.4545454545454546 + 56 = 57.454545454... | (48 / 33) + 56 | 57.45454545454545 | arithmetic | 5 | 2 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((80 / 82) / 53) + cbrt(64). 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. $80 / 82 = 0.975609756097... | ((80 / 82) / 53) + cbrt(64) | 377.7303267372296 | power | 3 | 5 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((1 + 41) - 87) / 60. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $1 + 41 = 42$
2. $42 - 87 = -45$
3. $-45 / 60 = -0.75$
The answ... | ((1 + 41) - 87) / 60 | -0.75 | arithmetic | 1 | 3 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: sin(270) / sqrt(9). This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $sin(270) = -1$
2. $sqrt(9) = 3$
3. $-1 / 3 = -0.3333333333333333$
... | sin(270) / sqrt(9) | -0.3333333333333333 | mixed | 3 | 3 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: (41 + 28) - 48. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $41 + 28 = 69$
2. $69 - 48 = 21$
The answer is $21$
3. Drafting the res... | (41 + 28) - 48 | 21 | arithmetic | 4 | 2 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((66 + sin(30)) * 72) / 16. 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. $66 + 0.49999999999999994 ... | ((66 + sin(30)) * 72) / 16 | 20349 | trig | 2 | 5 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((83 * tan(360)) + cos(90)) * 45. 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(90) = 6.12... | ((83 * tan(360)) + cos(90)) * 45 | -9.120557036649913e-13 | trig | 2 | 5 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: 2**4 - log(8, 10). This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $2**4 = 16$
2. $log(8, 10) = 0.9030899869919434$
3. $16 - 0.90308998... | 2**4 - log(8, 10) | 15.096910013008056 | mixed | 1 | 3 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: 4 + 78. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $4 + 78 = 82$
The answer is $82$
3. Drafting the response: "Ответ на ваш запрос в... | 4 + 78 | 82 | arithmetic | 4 | 1 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: log(37, 5) - 96. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $log(37, 5) = 2.2435894449529292$
2. $2.2435894449529292 - 96 = -93.7564... | log(37, 5) - 96 | -93.75641055504707 | log | 2 | 2 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((14 / 83) + 6**3) / 95. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $6**3 = 216$
2. $14 / 83 = 0.1686746987951807$
3. $0.168674698... | ((14 / 83) + 6**3) / 95 | 104.67114774889029 | power | 2 | 5 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: (tan(315) * 75) - 8. 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. $-1.0000000000000004 * 75 = -75.... | (tan(315) * 75) - 8 | -83.00000000000003 | trig | 2 | 3 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: 68 * 94. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $68 * 94 = 6392$
The answer is $6392$
3. Drafting the response: "Ответ на ваш за... | 68 * 94 | 6392 | arithmetic | 2 | 1 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((sqrt(9) - 86) + tan(60)) * 6. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $sqrt(9) = 3$
2. $tan(60) = 1.7320508075688767$
3. $cbr... | ((sqrt(9) - 86) + tan(60)) * 6 | -1950.4307806183467 | mixed | 2 | 7 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: 14 / 6. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $14 / 6 = 2.3333333333333335$
The answer is $2.3333333333333335$
3. Drafting the ... | 14 / 6 | 2.3333333333333335 | arithmetic | 3 | 1 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: 45 / 3**3. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $3**3 = 27$
2. $45 / 27 = 1.6666666666666667$
The answer is $1.6666666666666... | 45 / 3**3 | 1.6666666666666667 | power | 1 | 2 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((70 / 80) + 72) + 99. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $70 / 80 = 0.875$
2. $0.875 + 72 = 72.875$
3. $72.875 + 99 = 171... | ((70 / 80) + 72) + 99 | 171.875 | arithmetic | 4 | 3 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((67 / 22) / 1) + 42. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $67 / 22 = 3.0454545454545454$
2. $3.0454545454545454 / 1 = 3.04545... | ((67 / 22) / 1) + 42 | 45.04545454545455 | arithmetic | 1 | 3 |
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