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: 44 / 73. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $44 / 73 = 0.6027397260273972$
The answer is $0.6027397260273972$
3. Drafting th... | 44 / 73 | 0.6027397260273972 | arithmetic | 3 | 1 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: 49 - cot(315). 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. $49 - -0.9999999999999996 = 50$
The ... | 49 - cot(315) | 50 | trig | 2 | 2 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((sin(45) / 25) * tan(45)) * 51. 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. $tan(45) = 0.999999999... | ((sin(45) / 25) * tan(45)) * 51 | 1.4424978336205567 | trig | 2 | 5 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: (sin(270) - cbrt(125)) + 77. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $sin(270) = -1$
2. $cbrt(125) = 4.999999999999999$
3. $-1 ... | (sin(270) - cbrt(125)) + 77 | 71 | mixed | 4 | 4 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: (31 * 61) / 17. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $31 * 61 = 1891$
2. $1891 / 17 = 111.23529411764706$
The answer is $111... | (31 * 61) / 17 | 111.23529411764706 | arithmetic | 2 | 2 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: sin(30) * sqrt(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. $sqrt(16) = 4$
3. $0.49999999999... | sin(30) * sqrt(16) | 1.9999999999999998 | mixed | 5 | 3 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((48 + 90) + sin(60)) + 56. 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. $48 + 90 = 138$
3. $138 +... | ((48 + 90) + sin(60)) + 56 | 194.86602540378445 | trig | 2 | 4 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: 99 - 99. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $99 - 99 = 0$
The answer is $0$
3. Drafting the response: "Ответ на ваш запрос в... | 99 - 99 | 0 | arithmetic | 5 | 1 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((17 / 69) - 15) - 5. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $17 / 69 = 0.2463768115942029$
2. $0.2463768115942029 - 15 = -14.75... | ((17 / 69) - 15) - 5 | -0.5487117552334944 | arithmetic | 5 | 4 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: (81 * cos(30)) + 73. 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. $81 * 0.8660254037844387 = 70.1480... | (81 * cos(30)) + 73 | 143.14805770653953 | trig | 3 | 3 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: 10 / 15. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $10 / 15 = 0.6666666666666666$
The answer is $0.6666666666666666$
3. Drafting th... | 10 / 15 | 0.6666666666666666 | arithmetic | 1 | 1 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: (sin(0) - 96) - 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. $0 - 96 = -96$
3. $-96 - 60 = -156$
The answer is... | (sin(0) - 96) - 60 | -156 | trig | 1 | 3 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: (38 + 62) - cot(315). 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. $38 + 62 = 100$
3. $100 - -0.... | (38 + 62) - cot(315) | 101 | trig | 3 | 3 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: 62 - 95. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $62 - 95 = -33$
The answer is $-33$
3. Drafting the response: "Ответ на ваш запр... | 62 - 95 | -33 | arithmetic | 4 | 1 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((14 - 23) * cos(30)) - tan(225). 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. $tan(225) = 0.9999999... | ((14 - 23) * cos(30)) - tan(225) | 91.20577136594005 | trig | 5 | 6 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((2**3 - 45) + 3) - cos(45). This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $2**3 = 8$
2. $cos(45) = 0.7071067811865476$
3. $8 - 45 = ... | ((2**3 - 45) + 3) - cos(45) | -34.707106781186546 | mixed | 4 | 5 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: (73 / 88) * cot(315). 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. $73 / 88 = 0.8295454545454546$
... | (73 / 88) * cot(315) | -0.8295454545454543 | trig | 3 | 3 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((tan(45) / log(44, 5)) / 16) - log(27, 10). 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. $log(44, 5... | ((tan(45) / log(44, 5)) / 16) - log(27, 10) | -1.4047821497954973 | mixed | 3 | 6 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: 78 / 46. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $78 / 46 = 1.6956521739130435$
The answer is $1.6956521739130435$
3. Drafting th... | 78 / 46 | 1.6956521739130435 | arithmetic | 2 | 1 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((sqrt(64) / sec(45)) - cbrt(8)) + sqrt(4). This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $sqrt(64) = 8$
2. $sec(45) = 1.41421356237309... | ((sqrt(64) / sec(45)) - cbrt(8)) + sqrt(4) | 5.656854249492381 | mixed | 4 | 7 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((41 - csc(150)) + 3) / 66. 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. $41 - 2.0000000000000004 =... | ((41 - csc(150)) + 3) / 66 | -58.36363636363637 | trig | 4 | 5 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((33 + 55) / log(11, 3)) * log(11, 5). This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $log(11, 3) = 2.182658338644138$
2. $log(11, 5) = ... | ((33 + 55) / log(11, 3)) * log(11, 5) | 4625.339573837036 | log | 2 | 6 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: (14 + 24) * 77. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $14 + 24 = 38$
2. $38 * 77 = 2926$
The answer is $2926$
3. Drafting the... | (14 + 24) * 77 | 2926 | arithmetic | 1 | 2 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: (51 / 53) - 92. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $51 / 53 = 0.9622641509433962$
2. $0.9622641509433962 - 92 = -91.03773584... | (51 / 53) - 92 | -91.0377358490566 | arithmetic | 2 | 2 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: (15 * tan(0)) * 35. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $tan(0) = 0$
2. $15 * 0 = 0$
3. $0 * 35 = 0$
The answer is $0$
3.... | (15 * tan(0)) * 35 | 0 | trig | 1 | 3 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: 59 * sqrt(16). This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $sqrt(16) = 4$
2. $59 * 4 = 236$
The answer is $236$
3. Drafting the res... | 59 * sqrt(16) | 236 | power | 4 | 2 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: 5 / 9. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $5 / 9 = 0.5555555555555556$
The answer is $0.5555555555555556$
3. Drafting the re... | 5 / 9 | 0.5555555555555556 | arithmetic | 5 | 1 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: 18 + 73. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $18 + 73 = 91$
The answer is $91$
3. Drafting the response: "Ответ на ваш запрос... | 18 + 73 | 91 | arithmetic | 4 | 1 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((53 * cos(360)) + 78) * sqrt(81). This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $cos(360) = 1$
2. $sqrt(81) = 9$
3. $53 * 1 = 53$
... | ((53 * cos(360)) + 78) * sqrt(81) | 1179 | mixed | 3 | 5 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: (log(7, 2) + sqrt(9)) + sqrt(64). This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $log(7, 2) = 2.807354922057604$
2. $sqrt(9) = 3$
3. $... | (log(7, 2) + sqrt(9)) + sqrt(64) | 13.807354922057604 | mixed | 2 | 5 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((92 / 79) / cbrt(64)) * tan(0). 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. $tan(0) = 0$
3. $92... | ((92 / 79) / cbrt(64)) * tan(0) | 0 | mixed | 4 | 5 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((92 + 28) / 99) * 1. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $sqrt(9) = 3$
2. $92 + 28 = 120$
3. $120 / 99 = 1.212121212121212... | ((92 + 28) / 99) * 1 | 3.6363636363636367 | power | 1 | 5 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((log(45, 3) / 86) / 3) + cbrt(216). This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $log(45, 3) = 3.4649735207179266$
2. $cbrt(216) = 5.... | ((log(45, 3) / 86) / 3) + cbrt(216) | -6.013430129925264 | mixed | 2 | 7 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: (csc(270) + 2**2) - 6**4. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $csc(270) = -1$
2. $2**2 = 4$
3. $6**4 = 1296$
4. $-1 + 4 =... | (csc(270) + 2**2) - 6**4 | -1293 | mixed | 4 | 5 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((81 - 57) - 43) * 55. 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. $81 - 57 = 24$
3. $24 - 43 = ... | ((81 - 57) - 43) * 55 | -1051 | power | 3 | 5 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: 8 * 65. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $8 * 65 = 520$
The answer is $520$
3. Drafting the response: "Ответ на ваш запрос... | 8 * 65 | 520 | arithmetic | 2 | 1 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: 15 + 39. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $15 + 39 = 54$
The answer is $54$
3. Drafting the response: "Ответ на ваш запрос... | 15 + 39 | 54 | arithmetic | 1 | 1 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: (19 + 34) / 63. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $19 + 34 = 53$
2. $53 / 63 = 0.8412698412698413$
The answer is $0.84126... | (19 + 34) / 63 | 0.8412698412698413 | arithmetic | 3 | 2 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: sin(180) + 72. 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. $1.2246467991473532e-16 + 72 = 72$
... | sin(180) + 72 | 72 | trig | 3 | 2 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: log(15, 2) - log(22, 5). This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $log(15, 2) = 3.9068905956085187$
2. $log(22, 5) = 1.92057266047... | log(15, 2) - log(22, 5) | 1.9863179351301474 | log | 4 | 3 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((48 - 8) - 84) / 43. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $48 - 8 = 40$
2. $40 - 84 = -44$
3. $-44 / 43 = -1.02325581395348... | ((48 - 8) - 84) / 43 | -1.0232558139534884 | arithmetic | 5 | 3 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: csc(60) * 45. 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. $1.1547005383792517 * 45 = 51.96152422706... | csc(60) * 45 | 51.96152422706633 | trig | 5 | 2 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((cbrt(216) + 15) + 40) * 4**2. 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. $4**2 = 16$
3. $5.99... | ((cbrt(216) + 15) + 40) * 4**2 | 976 | power | 4 | 5 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: cot(45) - log(31, 10). 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. $log(31, 10) = 1.491361693834272... | cot(45) - log(31, 10) | -0.4913616938342724 | mixed | 3 | 3 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: cos(270) + 17. 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. $-1.8369701987210297e-16 + 17 = 17... | cos(270) + 17 | 17 | trig | 5 | 2 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((44 - sqrt(64)) / 70) - cot(225). This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $sqrt(64) = 8$
2. $cot(225) = 1.0000000000000004$
3.... | ((44 - sqrt(64)) / 70) - cot(225) | -0.4857142857142862 | mixed | 1 | 5 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((sqrt(49) - 7) * sin(360)) / 56. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $sqrt(49) = 7$
2. $sin(360) = -2.4492935982947064e-16$
... | ((sqrt(49) - 7) * sin(360)) / 56 | 0 | mixed | 1 | 5 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((87 / 60) * sqrt(100)) * 84. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $sqrt(100) = 10$
2. $87 / 60 = 1.45$
3. $1.45 * 10 = 14.5... | ((87 / 60) * sqrt(100)) * 84 | 62118 | power | 4 | 5 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((44 / 29) + 24) - sqrt(49). This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $sqrt(49) = 7$
2. $44 / 29 = 1.5172413793103448$
3. $1.517... | ((44 / 29) + 24) - sqrt(49) | 18.517241379310345 | power | 1 | 4 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: 70 / sqrt(16). This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $sqrt(16) = 4$
2. $70 / 4 = 17.5$
The answer is $17.5$
3. Drafting the r... | 70 / sqrt(16) | 17.5 | power | 1 | 2 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((cot(60) + 81) / 87) / cot(135). This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $cot(60) = 0.577350269189626$
2. $cot(135) = -0.9999999... | ((cot(60) + 81) / 87) / cot(135) | -58.135582950456985 | trig | 2 | 6 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((100 - log(16, 5)) + sqrt(81)) + 86. 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. $sqrt(81) = 9$... | ((100 - log(16, 5)) + sqrt(81)) + 86 | 7731.091750708257 | mixed | 2 | 6 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((7 + 79) - 28) * 22. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $7 + 79 = 86$
2. $86 - 28 = 58$
3. $58 * 22 = 1276$
The answer ... | ((7 + 79) - 28) * 22 | 1276 | arithmetic | 4 | 3 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: (cos(270) * log(2, 3)) - 77. 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(2, 3) = 0.63092... | (cos(270) * log(2, 3)) - 77 | -77 | mixed | 4 | 4 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: (88 * sqrt(64)) - sec(180). This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $sqrt(64) = 8$
2. $sec(180) = -1$
3. $88 * 8 = 704$
4. $7... | (88 * sqrt(64)) - sec(180) | 705 | mixed | 5 | 4 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((11 - sec(60)) - 18) - sin(0). 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. $sin(0) = 0$
3. $11 -... | ((11 - sec(60)) - 18) - sin(0) | -9 | trig | 3 | 5 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((sqrt(81) / 29) / 74) * log(50, 5). This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $sqrt(81) = 9$
2. $log(50, 5) = 2.4306765580733933$
... | ((sqrt(81) / 29) / 74) * log(50, 5) | 0.01019389050450165 | mixed | 2 | 5 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((97 + sqrt(4)) + 48) * 74. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $sqrt(4) = 2$
2. $97 + 2 = 99$
3. $99 + 48 = 147$
4. $147... | ((97 + sqrt(4)) + 48) * 74 | 126.48837209302326 | power | 1 | 5 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((sin(60) + 30) + sec(180)) / 61. 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. $sec(180) = -1$
3. ... | ((sin(60) + 30) + sec(180)) / 61 | 2.4896069738325317 | mixed | 1 | 7 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: (6**3 + 34) + tan(30). This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $6**3 = 216$
2. $tan(30) = 0.5773502691896257$
3. $216 + 34 = 25... | (6**3 + 34) + tan(30) | 250.57735026918962 | mixed | 1 | 4 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: 58 - sqrt(49). This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $sqrt(49) = 7$
2. $58 - 7 = 51$
The answer is $51$
3. Drafting the respo... | 58 - sqrt(49) | 51 | power | 5 | 2 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: 65 - sqrt(81). This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $sqrt(81) = 9$
2. $65 - 9 = 56$
The answer is $56$
3. Drafting the respo... | 65 - sqrt(81) | 56 | power | 5 | 2 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((64 - 72) + cbrt(27)) * 84. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $cbrt(27) = 3$
2. $log(8, 5) = 1.2920296742201791$
3. $64 ... | ((64 - 72) + cbrt(27)) * 84 | -421.2920296742202 | mixed | 5 | 6 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: (cos(30) - 44) - 87. 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. $0.8660254037844387 - 44 = -43.133... | (cos(30) - 44) - 87 | -130.13397459621555 | trig | 2 | 3 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((10 - 66) / log(30, 5)) + 76. 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. $10 - 66 = -56$
3. ... | ((10 - 66) / log(30, 5)) + 76 | 49.500943055453 | log | 3 | 4 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((22 * log(45, 5)) - sin(360)) - tan(30). This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $log(45, 5) = 2.3652123889719707$
2. $sin(360) ... | ((22 * log(45, 5)) - sin(360)) - tan(30) | 51.45732228819374 | mixed | 3 | 6 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: 31 / 35. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $31 / 35 = 0.8857142857142857$
The answer is $0.8857142857142857$
3. Drafting th... | 31 / 35 | 0.8857142857142857 | arithmetic | 4 | 1 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((sqrt(36) * sqrt(9)) * 11) - sqrt(9). 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. $sqrt(9) = 3$... | ((sqrt(36) * sqrt(9)) * 11) - sqrt(9) | 195 | power | 5 | 6 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((tan(315) - 22) / 94) / cbrt(64). 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. $cbrt(64) = 3.9999... | ((tan(315) - 22) / 94) / cbrt(64) | -0.012234042553191493 | mixed | 3 | 7 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: (cos(45) - 20) * log(40, 10). 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(40, 10) = 1.60205999... | (cos(45) - 20) * log(40, 10) | -30.908372342823583 | mixed | 1 | 4 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((95 * cbrt(8)) * 87) + 20. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $cbrt(8) = 2$
2. $95 * 2 = 190$
3. $190 * 87 = 16530$
4. ... | ((95 * cbrt(8)) * 87) + 20 | 16550 | power | 4 | 4 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((cbrt(8) / cbrt(216)) / 18) - 69. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $cbrt(8) = 2$
2. $cbrt(216) = 5.999999999999999$
3. ... | ((cbrt(8) / cbrt(216)) / 18) - 69 | -1.3796296296296295 | power | 4 | 6 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: cot(45) * tan(60). 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. $tan(60) = 1.7320508075688767$
3. ... | cot(45) * tan(60) | 1.7320508075688772 | trig | 5 | 3 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: (48 * 82) / 58. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $48 * 82 = 3936$
2. $3936 / 58 = 67.86206896551724$
The answer is $67.8... | (48 * 82) / 58 | 67.86206896551724 | arithmetic | 3 | 2 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((cos(90) - 65) - 85) * cot(45). 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. $cot(45) = 1.000000... | ((cos(90) - 65) - 85) * cot(45) | -150.00000000000003 | trig | 3 | 5 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((30 + 36) * 1) - 42. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $30 + 36 = 66$
2. $66 * 1 = 66$
3. $66 - 42 = 24$
The answer is... | ((30 + 36) * 1) - 42 | 24 | arithmetic | 4 | 3 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: (9 + tan(360)) / sqrt(81). 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. $sqrt(81) = 9$
3. $9... | (9 + tan(360)) / sqrt(81) | 1 | mixed | 1 | 4 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: tan(360) * 12. 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. $-2.4492935982947064e-16 * 12 = -2... | tan(360) * 12 | -2.9391523179536475e-15 | trig | 4 | 2 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((log(50, 2) + 52) / 80) + 87. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $log(50, 2) = 5.643856189774724$
2. $5.643856189774724 + 5... | ((log(50, 2) + 52) / 80) + 87 | 87.72054820237219 | log | 1 | 4 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((1 + 82) - cbrt(216)) + 74. 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. $1 + 82 = 83$
3. $83 - ... | ((1 + 82) - cbrt(216)) + 74 | 151 | power | 5 | 4 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((55 + sqrt(49)) * log(21, 2)) * sqrt(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. $log(21, 2) = 4.39231742277... | ((55 + sqrt(49)) * log(21, 2)) * sqrt(100) | 2723.2368021228313 | mixed | 5 | 6 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((csc(30) * cos(90)) / 70) / 37. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $csc(30) = 2.0000000000000004$
2. $cos(90) = 6.123233995... | ((csc(30) * cos(90)) / 70) / 37 | 1.1311344756314387e-19 | mixed | 5 | 7 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((92 - 4) * log(17, 10)) + cos(90). This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $log(17, 10) = 1.2304489213782739$
2. $cos(90) = 6.12... | ((92 - 4) * log(17, 10)) + cos(90) | 9745.15545731593 | mixed | 3 | 6 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: (cos(60) / 17) / sqrt(81). 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. $sqrt(81) = 9$
3. $0.50000... | (cos(60) / 17) / sqrt(81) | 0.003267973856209151 | mixed | 2 | 4 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: (log(38, 3) * 51) - cos(60). This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $log(38, 3) = 3.3110736128178324$
2. $cos(60) = 0.5000000000... | (log(38, 3) * 51) - cos(60) | 168.36475425370946 | mixed | 3 | 4 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((51 - 52) + 2) + tan(45). 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. $csc(270) = -1$
3. $51 - 5... | ((51 - 52) + 2) + tan(45) | -2 | trig | 2 | 6 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: cbrt(64) * 75. 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. $3.9999999999999996 * 75 = 299.99999999... | cbrt(64) * 75 | 299.99999999999994 | power | 3 | 2 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((64 - 3**2) + 70) / tan(60). This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $3**2 = 9$
2. $tan(60) = 1.7320508075688767$
3. $64 - 9 =... | ((64 - 3**2) + 70) / tan(60) | 151.16878364870325 | mixed | 3 | 6 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: 3 + log(14, 5). This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $log(14, 5) = 1.6397385131955606$
2. $3 + 1.6397385131955606 = 4.63973851... | 3 + log(14, 5) | 4.63973851319556 | log | 4 | 2 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((41 * log(16, 5)) / cbrt(8)) * 89. 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. $cbrt(8) = 2$
... | ((41 * log(16, 5)) / cbrt(8)) * 89 | 314.3077520819623 | mixed | 3 | 7 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((26 / 50) * 75) + 4**2. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $4**2 = 16$
2. $26 / 50 = 0.52$
3. $0.52 * 75 = 39$
4. $39 +... | ((26 / 50) * 75) + 4**2 | 140 | power | 2 | 5 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((31 / log(23, 2)) / cos(0)) * 23. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $log(23, 2) = 4.523561956057013$
2. $cos(0) = 1$
3. ... | ((31 / log(23, 2)) / cos(0)) * 23 | 157.61915210320015 | mixed | 3 | 5 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: cos(30) + sec(240). 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. $sec(240) = -1.9999999999999982$
... | cos(30) + sec(240) | -1.1339745962155594 | trig | 5 | 3 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: 41 / 90. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $41 / 90 = 0.45555555555555555$
The answer is $0.45555555555555555$
3. Drafting ... | 41 / 90 | 0.45555555555555555 | arithmetic | 5 | 1 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((85 / log(14, 5)) + 30) - 96. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $log(14, 5) = 1.6397385131955606$
2. $log(39, 5) = 2.27629... | ((85 / log(14, 5)) + 30) - 96 | -16.438765402136273 | log | 2 | 6 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((cbrt(27) * 37) - log(19, 2)) / 41. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $cbrt(27) = 3$
2. $log(19, 2) = 4.247927513443585$
... | ((cbrt(27) * 37) - log(19, 2)) / 41 | 0.03295834284858179 | mixed | 4 | 6 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((cbrt(27) + tan(60)) + cos(180)) + 34. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $cbrt(27) = 3$
2. $tan(60) = 1.7320508075688767$
... | ((cbrt(27) + tan(60)) + cos(180)) + 34 | 37.732050807568875 | mixed | 1 | 6 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((log(48, 10) - 12) / 4**2) * 82. 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. $4**2 = 16$
3. ... | ((log(48, 10) - 12) / 4**2) * 82 | -52.88363865845011 | mixed | 1 | 5 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((sin(45) - 84) - 66) / 46. 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. $0.7071067811865476 - 84 = ... | ((sin(45) - 84) - 66) / 46 | -3.2454976786698575 | trig | 2 | 4 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: 8 - 6. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $8 - 6 = 2$
The answer is $2$
3. Drafting the response: "Ответ на ваш запрос в рад... | 8 - 6 | 2 | arithmetic | 4 | 1 |
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