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: cos(270) + cos(30). 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. $cos(30) = 0.8660254037844387... | cos(270) + cos(30) | 0.8660254037844385 | trig | 4 | 3 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: 3 + 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. $3 + 5 = 8$
The answer is $8$
3. Drafting the response:... | 3 + sqrt(25) | 8 | power | 3 | 2 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((62 + 100) + 34) + 25. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $62 + 100 = 162$
2. $162 + 34 = 196$
3. $196 + 25 = 221$
The ... | ((62 + 100) + 34) + 25 | 221 | arithmetic | 2 | 3 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((46 - 56) - cot(90)) / cbrt(216). 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. $cbrt(216) = 5.99... | ((46 - 56) - cot(90)) / cbrt(216) | -1.666666666666667 | mixed | 1 | 5 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: (sin(180) - 49) + 39. 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 - 49... | (sin(180) - 49) + 39 | -10 | trig | 3 | 3 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((82 * 17) - log(28, 10)) * 71. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $log(28, 10) = 1.447158031342219$
2. $cos(60) = 0.5000000... | ((82 * 17) - log(28, 10)) * 71 | 98870.7517797747 | mixed | 3 | 6 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((59 - log(22, 10)) - 96) - sin(180). This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $log(22, 10) = 1.3424226808222062$
2. $sin(180) = 1... | ((59 - log(22, 10)) - 96) - sin(180) | -58.72061196400199 | mixed | 2 | 7 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: (sec(45) * sqrt(64)) - csc(270). This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $sec(45) = 1.414213562373095$
2. $sqrt(64) = 8$
3. $cs... | (sec(45) * sqrt(64)) - csc(270) | 12.31370849898476 | mixed | 1 | 5 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: (17 - sqrt(81)) - 50. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $sqrt(81) = 9$
2. $17 - 9 = 8$
3. $8 - 50 = -42$
The answer is ... | (17 - sqrt(81)) - 50 | -42 | power | 3 | 3 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: (3 / 40) + 92. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $3 / 40 = 0.075$
2. $0.075 + 92 = 92.075$
The answer is $92.075$
3. Draf... | (3 / 40) + 92 | 92.075 | arithmetic | 3 | 2 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: 94 / 78. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $94 / 78 = 1.205128205128205$
The answer is $1.205128205128205$
3. Drafting the ... | 94 / 78 | 1.205128205128205 | arithmetic | 5 | 1 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((cos(270) - log(49, 3)) - csc(30)) / 66. 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(49... | ((cos(270) - log(49, 3)) - csc(30)) / 66 | -27.08397708330792 | mixed | 3 | 8 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((sqrt(36) / 85) * 77) / 41. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $sqrt(36) = 6$
2. $6 / 85 = 0.07058823529411765$
3. $0.070... | ((sqrt(36) / 85) * 77) / 41 | 0.13256814921090387 | power | 2 | 4 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: (17 / 53) / 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. $17 / 53 = 0.3207547169811320... | (17 / 53) / log(43, 3) | 0.09368953070415233 | log | 3 | 3 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: (cos(0) - sin(270)) * sin(360). This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $cos(0) = 1$
2. $sin(270) = -1$
3. $sin(360) = -2.44929... | (cos(0) - sin(270)) * sin(360) | -4.898587196589413e-16 | trig | 2 | 5 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: 61 * 44. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $61 * 44 = 2684$
The answer is $2684$
3. Drafting the response: "Ответ на ваш за... | 61 * 44 | 2684 | arithmetic | 5 | 1 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: (55 - 27) * log(15, 5). 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. $55 - 27 = 28$
3. $28 * 1.... | (55 - 27) * log(15, 5) | 47.112973445607594 | log | 5 | 3 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((log(15, 5) - cbrt(64)) * 32) * cot(30). 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. $cbrt(64) ... | ((log(15, 5) - cbrt(64)) * 32) * cot(30) | -118.4430019934612 | mixed | 2 | 7 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: (cot(270) + sec(180)) / 51. 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. $sec(180) = -1$
3. $1.... | (cot(270) + sec(180)) / 51 | -0.019607843137254898 | trig | 3 | 4 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((32 - 79) / 69) + 14. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $32 - 79 = -47$
2. $-47 / 69 = -0.6811594202898551$
3. $-0.68115... | ((32 - 79) / 69) + 14 | 13.318840579710145 | arithmetic | 3 | 3 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: (sqrt(81) / log(13, 3)) * 5**3. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $sqrt(81) = 9$
2. $log(13, 3) = 2.3347175194727927$
3. ... | (sqrt(81) / log(13, 3)) * 5**3 | 481.857008660319 | mixed | 5 | 5 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: 62 * 17. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $62 * 17 = 1054$
The answer is $1054$
3. Drafting the response: "Ответ на ваш за... | 62 * 17 | 1054 | arithmetic | 2 | 1 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((85 * tan(315)) + csc(45)) - 32. 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. $csc(45) = 1.414213... | ((85 * tan(315)) + csc(45)) - 32 | -10518.306565824052 | trig | 5 | 6 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((28 + cos(60)) - 35) / log(15, 10). 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. $log(15, 10) = 1.1... | ((28 + cos(60)) - 35) / log(15, 10) | 71.47321800077059 | mixed | 4 | 6 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((log(5, 3) / tan(45)) * log(7, 10)) * 5. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $log(5, 3) = 1.4649735207179269$
2. $tan(45) = ... | ((log(5, 3) / tan(45)) * log(7, 10)) * 5 | 0.18206562515169197 | mixed | 4 | 7 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((88 / cos(60)) / 96) + csc(270). 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. $csc(270) = -1$
3. ... | ((88 / cos(60)) / 96) + csc(270) | 0.833333333333333 | trig | 5 | 5 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: (91 + 77) / 23. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $91 + 77 = 168$
2. $168 / 23 = 7.304347826086956$
The answer is $7.3043... | (91 + 77) / 23 | 7.304347826086956 | arithmetic | 2 | 2 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: cos(60) / 9. 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 / 9 = 0.05555555555555... | cos(60) / 9 | 0.055555555555555566 | trig | 4 | 2 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((cos(360) * sqrt(16)) + sin(0)) - cbrt(27). This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $cos(360) = 1$
2. $sqrt(16) = 4$
3. $sin(0... | ((cos(360) * sqrt(16)) + sin(0)) - cbrt(27) | 1 | mixed | 1 | 7 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: 86 - 93. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $86 - 93 = -7$
The answer is $-7$
3. Drafting the response: "Ответ на ваш запрос... | 86 - 93 | -7 | arithmetic | 1 | 1 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((18 * sqrt(49)) * sin(90)) * log(50, 3). This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $sqrt(49) = 7$
2. $sin(90) = 1$
3. $log(50, 3... | ((18 * sqrt(49)) * sin(90)) * log(50, 3) | 448.67047617092123 | mixed | 3 | 6 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((log(35, 10) * 89) / 23) + 40. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $log(35, 10) = 1.5440680443502754$
2. $1.5440680443502754... | ((log(35, 10) * 89) / 23) + 40 | 24.97487199770324 | log | 5 | 5 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((40 + 56) - 22) + 91. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $log(16, 2) = 4$
2. $40 + 56 = 96$
3. $96 - 22 = 74$
4. $74 + ... | ((40 + 56) - 22) + 91 | 161 | log | 4 | 5 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: cbrt(125) * sqrt(25). This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $cbrt(125) = 4.999999999999999$
2. $sqrt(25) = 5$
3. $4.999999999... | cbrt(125) * sqrt(25) | 24.999999999999996 | power | 5 | 3 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((sin(30) + 75) * log(5, 3)) - 22. 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. $log(5, 3) = 1.4649... | ((sin(30) + 75) * log(5, 3)) - 22 | 2.8582419617484995 | mixed | 2 | 6 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: (68 * 54) - 28. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $68 * 54 = 3672$
2. $3672 - 28 = 3644$
The answer is $3644$
3. Drafting... | (68 * 54) - 28 | 3644 | arithmetic | 4 | 2 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((8 - tan(30)) + 11) + 99. 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. $8 - 0.5773502691896257 = 7.... | ((8 - tan(30)) + 11) + 99 | 151.42264973081038 | trig | 1 | 5 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: (59 + 15) - 2. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $59 + 15 = 74$
2. $74 - 2 = 72$
The answer is $72$
3. Drafting the respo... | (59 + 15) - 2 | 72 | arithmetic | 5 | 2 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: 52 - 40. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $52 - 40 = 12$
The answer is $12$
3. Drafting the response: "Ответ на ваш запрос... | 52 - 40 | 12 | arithmetic | 5 | 1 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((4 * 57) * sin(45)) * 44. 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. $4 * 57 = 228$
3. $228 * 0... | ((4 * 57) * sin(45)) * 44 | 7093.695228863446 | trig | 3 | 4 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((90 / 7) + 17) / cos(360). This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $cos(360) = 1$
2. $90 / 7 = 12.857142857142858$
3. $12.8571... | ((90 / 7) + 17) / cos(360) | 0.3980952380952381 | trig | 1 | 5 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: (sqrt(64) - sin(60)) * 60. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $sqrt(64) = 8$
2. $sin(60) = 0.8660254037844386$
3. $8 - 0.8... | (sqrt(64) - sin(60)) * 60 | 428.0384757729337 | mixed | 2 | 4 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((sqrt(16) + sqrt(36)) * 74) * 61. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $sqrt(16) = 4$
2. $sqrt(36) = 6$
3. $4 + 6 = 10$
4... | ((sqrt(16) + sqrt(36)) * 74) * 61 | 45140 | power | 1 | 5 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((57 - 40) * 2) - 57. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $57 - 40 = 17$
2. $17 * 2 = 34$
3. $34 - 57 = -23$
The answer i... | ((57 - 40) * 2) - 57 | -23 | arithmetic | 2 | 3 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((77 - 54) / 87) / 92. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $77 - 54 = 23$
2. $23 / 87 = 0.26436781609195403$
3. $0.26436781... | ((77 - 54) / 87) / 92 | 0.0028735632183908046 | arithmetic | 1 | 3 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((48 - 89) / 95) - 89. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $sqrt(9) = 3$
2. $48 - 89 = -41$
3. $-41 / 95 = -0.4315789473684... | ((48 - 89) / 95) - 89 | -268.2947368421053 | power | 5 | 5 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: (log(43, 2) - cot(30)) * sqrt(16). This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $log(43, 2) = 5.426264754702098$
2. $cot(30) = 1.73205... | (log(43, 2) - cot(30)) * sqrt(16) | 14.776855788532881 | mixed | 5 | 5 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: (sin(0) - 96) + sqrt(25). This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $sin(0) = 0$
2. $sqrt(25) = 5$
3. $0 - 96 = -96$
4. $-96 + ... | (sin(0) - 96) + sqrt(25) | -91 | mixed | 4 | 4 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((cbrt(125) * cos(60)) + sqrt(36)) / 32. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $cbrt(125) = 4.999999999999999$
2. $cos(60) = 0.... | ((cbrt(125) * cos(60)) + sqrt(36)) / 32 | 0.265625 | mixed | 4 | 6 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((86 * 3) / sqrt(81)) * 92. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $sqrt(81) = 9$
2. $log(37, 5) = 2.2435894449529292$
3. $86 ... | ((86 * 3) / sqrt(81)) * 92 | 2635.089743888381 | mixed | 4 | 6 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((51 / 31) - 69) + 98. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $51 / 31 = 1.6451612903225807$
2. $1.6451612903225807 - 69 = -67.3... | ((51 / 31) - 69) + 98 | 30.645161290322577 | arithmetic | 1 | 3 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((sec(45) * 24) - 59) + 67. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $sec(45) = 1.414213562373095$
2. $1.414213562373095 * 24 = 33... | ((sec(45) * 24) - 59) + 67 | 74.94112549695427 | trig | 3 | 5 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: (6**2 + 60) * 57. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $6**2 = 36$
2. $36 + 60 = 96$
3. $96 * 57 = 5472$
The answer is $54... | (6**2 + 60) * 57 | 5472 | power | 2 | 3 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: (2**3 / 8) - 93. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $2**3 = 8$
2. $8 / 8 = 1$
3. $1 - 93 = -92$
The answer is $-92$
3. D... | (2**3 / 8) - 93 | -92 | power | 2 | 3 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: sec(120) - cos(0). 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. $cos(0) = 1$
3. $-2.0000000000000... | sec(120) - cos(0) | -3.000000000000001 | trig | 3 | 3 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: sin(0) + 76. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $sin(0) = 0$
2. $0 + 76 = 76$
The answer is $76$
3. Drafting the response:... | sin(0) + 76 | 76 | trig | 4 | 2 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((4**4 + tan(45)) / 44) - tan(60). This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $4**4 = 256$
2. $tan(45) = 0.9999999999999999$
3. $t... | ((4**4 + tan(45)) / 44) - tan(60) | 3.108858283340214 | mixed | 5 | 8 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((6 - cbrt(64)) / 71) * 76. 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. $6 - 3.9999999999999996 = ... | ((6 - cbrt(64)) / 71) * 76 | 2.140845070422536 | power | 3 | 4 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: (sqrt(4) / 97) / sqrt(100). This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $sqrt(4) = 2$
2. $sqrt(100) = 10$
3. $2 / 97 = 0.0206185567... | (sqrt(4) / 97) / sqrt(100) | 0.002061855670103093 | power | 2 | 4 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: 5 * 53. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $5 * 53 = 265$
The answer is $265$
3. Drafting the response: "Ответ на ваш запрос... | 5 * 53 | 265 | arithmetic | 4 | 1 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: tan(225) + 29. 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. $0.9999999999999997 + 29 = 30$
The an... | tan(225) + 29 | 30 | trig | 1 | 2 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: 25 * cos(45). 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. $25 * 0.7071067811865476 = 17.67766952966... | 25 * cos(45) | 17.67766952966369 | trig | 1 | 2 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((tan(315) * cos(45)) / sqrt(81)) * 4. 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(45) = 0.7... | ((tan(315) * cos(45)) / sqrt(81)) * 4 | -3.4569664858009004 | mixed | 3 | 7 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: sec(45) - 99. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $sec(45) = 1.414213562373095$
2. $1.414213562373095 - 99 = -97.585786437626... | sec(45) - 99 | -97.58578643762691 | trig | 4 | 2 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((sqrt(100) + 22) * 5**2) + log(15, 10). This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $sqrt(100) = 10$
2. $5**2 = 25$
3. $log(15, 10... | ((sqrt(100) + 22) * 5**2) + log(15, 10) | 801.1760912590556 | mixed | 5 | 6 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: 13 + 11. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $13 + 11 = 24$
The answer is $24$
3. Drafting the response: "Ответ на ваш запрос... | 13 + 11 | 24 | arithmetic | 4 | 1 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((sqrt(81) / 9) * 21) / 53. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $sqrt(81) = 9$
2. $cos(60) = 0.5000000000000001$
3. $9 / 9 ... | ((sqrt(81) / 9) * 21) / 53 | 0.8962264150943398 | mixed | 5 | 6 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((47 + csc(150)) * 59) - tan(135). This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $csc(150) = 2.0000000000000004$
2. $tan(135) = -1.0000... | ((47 + csc(150)) * 59) - tan(135) | 2892 | trig | 4 | 5 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: 40 * 38. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $40 * 38 = 1520$
The answer is $1520$
3. Drafting the response: "Ответ на ваш за... | 40 * 38 | 1520 | arithmetic | 3 | 1 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: (46 - 27) * 93. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $46 - 27 = 19$
2. $19 * 93 = 1767$
The answer is $1767$
3. Drafting the... | (46 - 27) * 93 | 1767 | arithmetic | 3 | 2 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((9 + 92) + 57) / 12. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $9 + 92 = 101$
2. $101 + 57 = 158$
3. $158 / 12 = 13.166666666666... | ((9 + 92) + 57) / 12 | 1119.1666666666665 | arithmetic | 2 | 4 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((cos(30) + 27) - sqrt(81)) * 17. 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. $sqrt(81) = 9$
3. $... | ((cos(30) + 27) - sqrt(81)) * 17 | 320.7224318643354 | mixed | 2 | 5 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((95 * 2**3) * sin(270)) * 9. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $2**3 = 8$
2. $sin(270) = -1$
3. $95 * 8 = 760$
4. $760... | ((95 * 2**3) * sin(270)) * 9 | -6840 | mixed | 3 | 5 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: (98 - 83) - cbrt(216). This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $cbrt(216) = 5.999999999999999$
2. $98 - 83 = 15$
3. $15 - 5.999... | (98 - 83) - cbrt(216) | 9 | power | 5 | 3 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: cot(30) * 6**2. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $cot(30) = 1.7320508075688774$
2. $6**2 = 36$
3. $1.7320508075688774 * ... | cot(30) * 6**2 | 62.353829072479584 | mixed | 1 | 3 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: (98 + 14) + 32. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $98 + 14 = 112$
2. $112 + 32 = 144$
The answer is $144$
3. Drafting the... | (98 + 14) + 32 | 144 | arithmetic | 1 | 2 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: log(17, 3) * 63. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $log(17, 3) = 2.5789019231625656$
2. $2.5789019231625656 * 63 = 162.4708... | log(17, 3) * 63 | 162.47082115924164 | log | 1 | 2 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: sec(360) * 36. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $sec(360) = 1$
2. $1 * 36 = 36$
The answer is $36$
3. Drafting the respo... | sec(360) * 36 | 36 | trig | 5 | 2 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((65 * cbrt(125)) / sqrt(25)) + log(39, 10). This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $cbrt(125) = 4.999999999999999$
2. $sqrt(25)... | ((65 * cbrt(125)) / sqrt(25)) + log(39, 10) | 66.59106460702648 | mixed | 5 | 6 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((cos(45) * 53) * log(21, 10)) * 32. 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(21, 10) = 1.3... | ((cos(45) * 53) * log(21, 10)) * 32 | 19.576241842832033 | mixed | 5 | 6 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: (48 + 73) / 59. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $48 + 73 = 121$
2. $121 / 59 = 2.0508474576271185$
The answer is $2.050... | (48 + 73) / 59 | 2.0508474576271185 | arithmetic | 2 | 2 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((76 - 91) - sin(270)) * 100. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $sin(270) = -1$
2. $76 - 91 = -15$
3. $-15 - -1 = -14$
... | ((76 - 91) - sin(270)) * 100 | -1400 | trig | 4 | 4 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((85 / 20) / 75) / 63. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $85 / 20 = 4.25$
2. $4.25 / 75 = 0.056666666666666664$
3. $0.056... | ((85 / 20) / 75) / 63 | 11.000899470899471 | arithmetic | 3 | 4 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: (sqrt(81) * sqrt(25)) - log(13, 10). This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $sqrt(81) = 9$
2. $sqrt(25) = 5$
3. $log(13, 10) =... | (sqrt(81) * sqrt(25)) - log(13, 10) | 43.88605664769317 | mixed | 2 | 5 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: (13 + 16) - 96. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $13 + 16 = 29$
2. $29 - 96 = -67$
The answer is $-67$
3. Drafting the r... | (13 + 16) - 96 | -67 | arithmetic | 3 | 2 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: (40 - sin(60)) * sqrt(100). 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. $sqrt(100) = 10$
3. $40 -... | (40 - sin(60)) * sqrt(100) | 391.3397459621556 | mixed | 3 | 4 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((cbrt(216) + 12) * csc(270)) + 10. 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. $csc(270) = -1$
... | ((cbrt(216) + 12) * csc(270)) + 10 | -8 | mixed | 2 | 5 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((61 + 90) - 57) / 68. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $61 + 90 = 151$
2. $151 - 57 = 94$
3. $94 / 68 = 1.3823529411764... | ((61 + 90) - 57) / 68 | 1.3823529411764706 | arithmetic | 1 | 3 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: (6**2 / cot(60)) + 52. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $6**2 = 36$
2. $cot(60) = 0.577350269189626$
3. $36 / 0.57735026... | (6**2 / cot(60)) + 52 | 114.35382907247956 | mixed | 5 | 4 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((sqrt(100) - 15) * sec(240)) + sin(0). This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $sqrt(100) = 10$
2. $sec(240) = -1.99999999999999... | ((sqrt(100) - 15) * sec(240)) + sin(0) | 9.999999999999991 | mixed | 4 | 6 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((11 + 62) * 4) / 30. 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. $11 + 62 = 73$
3. $73 * 4 = 292... | ((11 + 62) * 4) / 30 | 16.858627860337066 | trig | 5 | 5 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: 99 / 35. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $99 / 35 = 2.8285714285714287$
The answer is $2.8285714285714287$
3. Drafting th... | 99 / 35 | 2.8285714285714287 | arithmetic | 3 | 1 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: (cos(45) / 2) - 43. 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. $0.7071067811865476 / 2 = 0.3535533... | (cos(45) / 2) - 43 | -42.64644660940672 | trig | 2 | 3 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((46 / tan(135)) - 43) * 6. 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. $46 / -1.0000000000000002... | ((46 / tan(135)) - 43) * 6 | -6408 | trig | 4 | 5 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: sec(0) * 77. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $sec(0) = 1$
2. $1 * 77 = 77$
The answer is $77$
3. Drafting the response:... | sec(0) * 77 | 77 | trig | 2 | 2 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: 76 - 81. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $76 - 81 = -5$
The answer is $-5$
3. Drafting the response: "Ответ на ваш запрос... | 76 - 81 | -5 | arithmetic | 5 | 1 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: log(43, 10) + 24. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $log(43, 10) = 1.6334684555795864$
2. $1.6334684555795864 + 24 = 25.633... | log(43, 10) + 24 | 25.633468455579585 | log | 4 | 2 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: log(21, 10) - 14. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $log(21, 10) = 1.322219294733919$
2. $1.322219294733919 - 14 = -12.6777... | log(21, 10) - 14 | -12.67778070526608 | log | 3 | 2 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: (cos(270) + sec(60)) + 84. 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. $sec(60) = 1.999999999... | (cos(270) + sec(60)) + 84 | 86 | trig | 5 | 4 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: (99 / sqrt(81)) / log(38, 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. $log(38, 5) = 2.2601593585085435$
3. $9... | (99 / sqrt(81)) / log(38, 5) | 4.866913458376134 | mixed | 1 | 4 |
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