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: ((sqrt(25) / csc(45)) / 85) / log(15, 2). This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $sqrt(25) = 5$
2. $csc(45) = 1.414213562373095$... | ((sqrt(25) / csc(45)) / 85) / log(15, 2) | 0.00042585801186384735 | mixed | 2 | 7 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: 81 - 15. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $81 - 15 = 66$
The answer is $66$
3. Drafting the response: "Ответ на ваш запрос... | 81 - 15 | 66 | arithmetic | 2 | 1 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: (29 / 93) + 74. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $29 / 93 = 0.3118279569892473$
2. $0.3118279569892473 + 74 = 74.311827956... | (29 / 93) + 74 | 74.31182795698925 | arithmetic | 5 | 2 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: 69 - log(48, 2). 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. $69 - 5.584962500721157 = 63.4150374... | 69 - log(48, 2) | 63.415037499278846 | log | 2 | 2 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: (cos(45) + 21) * 64. 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 + 21 = 21.7071... | (cos(45) + 21) * 64 | 1389.254833995939 | trig | 1 | 3 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((cot(45) + 14) - log(15, 2)) - 34. 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(15, 2) = 3.906... | ((cot(45) + 14) - log(15, 2)) - 34 | -22.90689059560852 | mixed | 3 | 5 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((42 / 73) / cos(30)) + 21. 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. $42 / 73 = 0.57534246575342... | ((42 / 73) / cos(30)) + 21 | 25.664348254957925 | trig | 3 | 5 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: (sec(180) / 77) + 28. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $sec(180) = -1$
2. $-1 / 77 = -0.012987012987012988$
3. $-0.01298... | (sec(180) / 77) + 28 | 27.98701298701299 | trig | 1 | 3 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((67 + 17) + 25) - 91. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $67 + 17 = 84$
2. $84 + 25 = 109$
3. $109 - 91 = 18$
The answe... | ((67 + 17) + 25) - 91 | 18 | arithmetic | 5 | 3 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: cos(0) / 75. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $cos(0) = 1$
2. $1 / 75 = 0.013333333333333334$
The answer is $0.013333333... | cos(0) / 75 | 0.013333333333333334 | trig | 3 | 2 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((csc(90) - 24) / 47) + 73. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $csc(90) = 1$
2. $1 - 24 = -23$
3. $-23 / 47 = -0.489361702... | ((csc(90) - 24) / 47) + 73 | 145.0212765957447 | trig | 4 | 5 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((log(26, 2) - log(35, 3)) * 7) * 64. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $log(26, 2) = 4.700439718141093$
2. $log(35, 3) = 3... | ((log(26, 2) - log(35, 3)) * 7) * 64 | 655.9716568212611 | log | 5 | 5 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: (26 * 98) / 37. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $26 * 98 = 2548$
2. $2548 / 37 = 68.86486486486487$
The answer is $68.8... | (26 * 98) / 37 | 68.86486486486487 | arithmetic | 5 | 2 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: 47 / 73. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $47 / 73 = 0.6438356164383562$
The answer is $0.6438356164383562$
3. Drafting th... | 47 / 73 | 0.6438356164383562 | arithmetic | 4 | 1 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((7 * 39) + 83) - log(41, 10). This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $log(41, 10) = 1.6127838567197355$
2. $7 * 39 = 273$
3. ... | ((7 * 39) + 83) - log(41, 10) | 24807.10513002962 | log | 1 | 5 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: (66 + 93) / 66. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $66 + 93 = 159$
2. $159 / 66 = 2.409090909090909$
The answer is $2.4090... | (66 + 93) / 66 | 2.409090909090909 | arithmetic | 5 | 2 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((sqrt(16) * 96) - log(29, 5)) - cbrt(125). This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $sqrt(16) = 4$
2. $log(29, 5) = 2.09221853416... | ((sqrt(16) * 96) - log(29, 5)) - cbrt(125) | 376.9077814658325 | mixed | 5 | 6 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((cot(315) * sec(45)) / 93) + 88. 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. $sec(45) = 1.414213... | ((cot(315) * sec(45)) / 93) + 88 | 87.98479340255513 | trig | 2 | 5 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((38 + 92) - cos(90)) + sin(90). 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. $sin(90) = 1$
3. ... | ((38 + 92) - cos(90)) + sin(90) | 131 | trig | 4 | 5 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((79 - tan(225)) - 2) - 63. 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. $79 - 0.9999999999999997 =... | ((79 - tan(225)) - 2) - 63 | 112 | trig | 3 | 5 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((57 - tan(60)) - tan(45)) - log(31, 3). 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. $tan(45) = 0.9... | ((57 - tan(60)) - tan(45)) - log(31, 3) | 27.142199335174112 | mixed | 2 | 7 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((tan(225) * 57) / sqrt(100)) - log(4, 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. $sqrt(100) ... | ((tan(225) * 57) / sqrt(100)) - log(4, 3) | 0.044829701948051345 | mixed | 1 | 7 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((cos(180) * 62) * cot(30)) / 10. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $cos(180) = -1$
2. $cot(30) = 1.7320508075688774$
3. ... | ((cos(180) * 62) * cot(30)) / 10 | -10.738715006927045 | trig | 3 | 7 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: 15 + 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. $15 + 4 = 19$
The answer is $19$
3. Drafting the respo... | 15 + sqrt(16) | 19 | power | 5 | 2 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((74 / 99) / 80) + 2. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $74 / 99 = 0.7474747474747475$
2. $0.7474747474747475 / 80 = 0.0093... | ((74 / 99) / 80) + 2 | 2.0093434343434344 | arithmetic | 5 | 3 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((csc(90) + 7) * tan(135)) + tan(360). This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $csc(90) = 1$
2. $tan(135) = -1.0000000000000002$
... | ((csc(90) + 7) * tan(135)) + tan(360) | -0.15686274509803924 | trig | 1 | 7 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: (84 * log(21, 3)) + 22. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $log(21, 3) = 2.771243749161422$
2. $84 * 2.771243749161422 = 232... | (84 * log(21, 3)) + 22 | 254.78447492955945 | log | 4 | 3 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: (77 + 11) + log(38, 2). This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $log(38, 2) = 5.247927513443585$
2. $77 + 11 = 88$
3. $88 + 5.2... | (77 + 11) + log(38, 2) | 93.24792751344359 | log | 2 | 3 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((cos(180) - cos(45)) - sin(45)) * 32. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $cos(180) = -1$
2. $cos(45) = 0.7071067811865476$
... | ((cos(180) - cos(45)) - sin(45)) * 32 | -71.25483399593904 | trig | 3 | 7 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: 37 - 11. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $37 - 11 = 26$
The answer is $26$
3. Drafting the response: "Ответ на ваш запрос... | 37 - 11 | 26 | arithmetic | 2 | 1 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: 1 / 5**3. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $5**3 = 125$
2. $1 / 125 = 0.008$
The answer is $0.008$
3. Drafting the respo... | 1 / 5**3 | 0.008 | power | 2 | 2 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: (64 + 73) * 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. $64 + 73 = 137$
3. $137 * 4 = 548$
The answer... | (64 + 73) * sqrt(16) | 548 | power | 5 | 3 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((41 - log(12, 5)) * sin(45)) / 79. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $log(12, 5) = 1.5439593106327716$
2. $sin(45) = 0.707... | ((41 - log(12, 5)) * sin(45)) / 79 | 20.483275543708693 | mixed | 1 | 6 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((96 - csc(30)) + 82) + 77. 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. $96 - 2.0000000000000004 = ... | ((96 - csc(30)) + 82) + 77 | 253 | trig | 5 | 4 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: 47 + 20. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $47 + 20 = 67$
The answer is $67$
3. Drafting the response: "Ответ на ваш запрос... | 47 + 20 | 67 | arithmetic | 5 | 1 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: 91 * cos(60). This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $cos(60) = 0.5000000000000001$
2. $91 * 0.5000000000000001 = 45.50000000000... | 91 * cos(60) | 45.50000000000001 | trig | 5 | 2 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((cbrt(64) - sqrt(64)) - 79) + 48. 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. $sqrt(64) = 8$
3.... | ((cbrt(64) - sqrt(64)) - 79) + 48 | 35 | mixed | 1 | 7 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((4 + tan(30)) * sin(0)) * 88. 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. $sin(0) = 0$
3. $4 + 0... | ((4 + tan(30)) * sin(0)) * 88 | 0 | trig | 1 | 5 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: (cos(90) + sec(180)) + 47. 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. $sec(180) = -1$
3. $6.1... | (cos(90) + sec(180)) + 47 | 46 | trig | 3 | 4 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: (77 + 44) * 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. $77 + 44 = 121$
3. $121 * 0.7071... | (77 + 44) * cos(45) | 85.55992052357226 | trig | 1 | 3 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((cbrt(125) - 3) / 1) - 31. 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. $log(42, 3) = 3.4021735027... | ((cbrt(125) - 3) / 1) - 31 | -8.52396268935286 | mixed | 4 | 6 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: (61 - sin(0)) / 46. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $sin(0) = 0$
2. $61 - 0 = 61$
3. $61 / 46 = 1.326086956521739$
Th... | (61 - sin(0)) / 46 | 1.326086956521739 | trig | 3 | 3 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((tan(0) / 60) / 91) * 98. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $tan(0) = 0$
2. $0 / 60 = 0$
3. $0 / 91 = 0$
4. $0 * 98 = ... | ((tan(0) / 60) / 91) * 98 | -27 | trig | 3 | 5 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((cbrt(64) * sin(270)) - sqrt(25)) / 24. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $cbrt(64) = 3.9999999999999996$
2. $sin(270) = -... | ((cbrt(64) * sin(270)) - sqrt(25)) / 24 | 1.039213562373095 | mixed | 5 | 8 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((tan(60) + 5) + sqrt(4)) / sqrt(49). 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. $sqrt(4) = 2$
3... | ((tan(60) + 5) + sqrt(4)) / sqrt(49) | 66.2474358296527 | mixed | 3 | 7 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((96 / 70) / 32) - 37. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $96 / 70 = 1.3714285714285714$
2. $1.3714285714285714 / 32 = 0.042... | ((96 / 70) / 32) - 37 | -36.957142857142856 | arithmetic | 2 | 3 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((log(46, 10) * 74) / 30) * 89. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $log(46, 10) = 1.6627578316815739$
2. $sqrt(25) = 5$
3.... | ((log(46, 10) * 74) / 30) * 89 | 370.0307693151615 | mixed | 4 | 6 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: (log(14, 3) * 28) * 5. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $log(14, 3) = 2.402173502732879$
2. $2.402173502732879 * 28 = 67.2... | (log(14, 3) * 28) * 5 | 336.3042903826031 | log | 5 | 3 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((sin(360) * 45) * sqrt(25)) - 72. 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. $sqrt(25) = 5$... | ((sin(360) * 45) * sqrt(25)) - 72 | -72.00000000000006 | mixed | 1 | 5 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: 1 + 40. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $1 + 40 = 41$
The answer is $41$
3. Drafting the response: "Ответ на ваш запрос в... | 1 + 40 | 41 | arithmetic | 1 | 1 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: 95 - 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. $95 - 0.7071067811865476 = 94.29289321881... | 95 - cos(45) | 94.29289321881345 | trig | 1 | 2 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((4**3 / 29) - log(16, 2)) - 88. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $4**3 = 64$
2. $log(16, 2) = 4$
3. $log(5, 5) = 1$
4... | ((4**3 / 29) - log(16, 2)) - 88 | -88.79310344827586 | mixed | 5 | 7 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((sin(360) / 45) + cos(90)) / 15. 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. $cos(90) = 6.12... | ((sin(360) / 45) + cos(90)) / 15 | 3.719297686299369e-18 | trig | 3 | 5 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: 42 * 57. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $42 * 57 = 2394$
The answer is $2394$
3. Drafting the response: "Ответ на ваш за... | 42 * 57 | 2394 | arithmetic | 3 | 1 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((20 - 82) / sec(360)) * 42. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $sec(360) = 1$
2. $20 - 82 = -62$
3. $-62 / 1 = -62$
4. ... | ((20 - 82) / sec(360)) * 42 | -156240 | trig | 2 | 5 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: (51 * sin(360)) + 50. 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. $51 * -2.4492935982947064e-... | (51 * sin(360)) + 50 | 49.999999999999986 | trig | 4 | 3 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: 4 / 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. $4 / 5 = 0.8$
The answer is $0.8$
3. Drafting the respo... | 4 / sqrt(25) | 0.8 | power | 3 | 2 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((sin(180) + 6) / sin(90)) + sqrt(4). 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. $sin(90) = 1... | ((sin(180) + 6) / sin(90)) + sqrt(4) | 8 | mixed | 5 | 6 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((cos(45) + 51) / 59) * log(14, 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(14, 10) = 1.1... | ((cos(45) + 51) / 59) * log(14, 10) | 1.004457029249597 | mixed | 4 | 5 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((63 - cos(60)) * sqrt(36)) + 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. $sqrt(36) = 6$
... | ((63 - cos(60)) * sqrt(36)) + sin(30) | 375.5 | mixed | 1 | 6 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((cos(90) - log(30, 2)) / sqrt(16)) / sin(30). 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. $log(... | ((cos(90) - log(30, 2)) / sqrt(16)) / sin(30) | -0.4534452978042598 | mixed | 2 | 9 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: (cbrt(125) + 25) / 71. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $cbrt(125) = 4.999999999999999$
2. $4.999999999999999 + 25 = 30$
... | (cbrt(125) + 25) / 71 | 0.4225352112676056 | power | 3 | 3 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((12 + sqrt(25)) * 36) * 27. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $sqrt(25) = 5$
2. $sqrt(36) = 6$
3. $12 + 5 = 17$
4. $17... | ((12 + sqrt(25)) * 36) * 27 | 2754 | power | 5 | 6 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((88 / log(7, 10)) + 69) + 59. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $log(7, 10) = 0.8450980400142567$
2. $88 / 0.8450980400142... | ((88 / log(7, 10)) + 69) + 59 | 232.1299302960346 | log | 2 | 4 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: 53 + sin(180). This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $sin(180) = 1.2246467991473532e-16$
2. $53 + 1.2246467991473532e-16 = 53$
... | 53 + sin(180) | 53 | trig | 2 | 2 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((sin(30) / sqrt(9)) * 39) - 100. 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. $sqrt(9) = 3$
3. $... | ((sin(30) / sqrt(9)) * 39) - 100 | -94.20710678118655 | mixed | 4 | 7 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((5 - 15) - cos(60)) * log(2, 5). 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(2, 5) = 0.430676... | ((5 - 15) - cos(60)) * log(2, 5) | -266.80412772646696 | mixed | 5 | 6 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: (23 + 45) + csc(150). 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. $23 + 45 = 68$
3. $68 + 2.0000... | (23 + 45) + csc(150) | 70 | trig | 1 | 3 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: (60 * log(7, 2)) - sqrt(49). 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. $sqrt(49) = 7$
3. $60 *... | (60 * log(7, 2)) - sqrt(49) | 161.44129532345625 | mixed | 3 | 4 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((27 / 79) - 12) + log(3, 3). This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $log(3, 3) = 1$
2. $tan(135) = -1.0000000000000002$
3. $2... | ((27 / 79) - 12) + log(3, 3) | -11.658227848101266 | mixed | 2 | 6 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: 8 + 55. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $8 + 55 = 63$
The answer is $63$
3. Drafting the response: "Ответ на ваш запрос в... | 8 + 55 | 63 | arithmetic | 2 | 1 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: (tan(225) + 90) * 47. 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. $0.9999999999999997 + 90 = 91$
... | (tan(225) + 90) * 47 | 4277 | trig | 2 | 3 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: 33 / 27. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $33 / 27 = 1.2222222222222223$
The answer is $1.2222222222222223$
3. Drafting th... | 33 / 27 | 1.2222222222222223 | arithmetic | 4 | 1 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: (55 - 92) / 32. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $55 - 92 = -37$
2. $-37 / 32 = -1.15625$
The answer is $-1.15625$
3. Dr... | (55 - 92) / 32 | -1.15625 | arithmetic | 4 | 2 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((92 + 95) * sin(180)) * 25. 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. $92 + 95 = 187$
3. ... | ((92 + 95) * sin(180)) * 25 | 5.725223786013876e-13 | trig | 1 | 4 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((96 - 2) - log(3, 3)) - 43. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $log(3, 3) = 1$
2. $tan(180) = -1.2246467991473532e-16$
3.... | ((96 - 2) - log(3, 3)) - 43 | 50 | mixed | 3 | 6 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((sin(180) / 31) - tan(45)) / 6. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $sin(180) = 1.2246467991473532e-16$
2. $tan(45) = 0.9999... | ((sin(180) / 31) - tan(45)) / 6 | -0.16666666666666666 | trig | 4 | 5 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((log(25, 3) / 25) / 12) * cbrt(125). This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $log(25, 3) = 2.9299470414358537$
2. $cbrt(125) = 4... | ((log(25, 3) / 25) / 12) * cbrt(125) | 0.439492056215378 | mixed | 5 | 6 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: cos(360) * 3. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $cos(360) = 1$
2. $1 * 3 = 3$
The answer is $3$
3. Drafting the response:... | cos(360) * 3 | 3 | trig | 4 | 2 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((cbrt(64) - sec(30)) * 51) / 72. 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. $sec(30) = 1.1547005... | ((cbrt(64) - sec(30)) * 51) / 72 | 2.015420451981363 | mixed | 3 | 5 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((4 + 30) / cbrt(64)) * 26. 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. $3**2 = 9$
3. $4 + 30 = ... | ((4 + 30) / cbrt(64)) * 26 | 1989.0000000000005 | power | 2 | 6 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((cbrt(64) + 81) * sqrt(64)) * 63. 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. $sqrt(64) = 8$
3.... | ((cbrt(64) + 81) * sqrt(64)) * 63 | 42840 | power | 1 | 5 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: (68 - 95) + sqrt(100). This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $sqrt(100) = 10$
2. $68 - 95 = -27$
3. $-27 + 10 = -17$
The an... | (68 - 95) + sqrt(100) | -17 | power | 2 | 3 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((6**2 / 90) * 22) - 69. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $6**2 = 36$
2. $log(13, 2) = 3.700439718141092$
3. $36 / 90 = ... | ((6**2 / 90) * 22) - 69 | -222.76647103209376 | mixed | 5 | 6 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((88 / cos(30)) / 100) / sin(270). 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. $sin(270) = -1$
3.... | ((88 / cos(30)) / 100) / sin(270) | -1.0161364737737413 | trig | 5 | 5 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((38 + 95) + 42) * 95. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $38 + 95 = 133$
2. $133 + 42 = 175$
3. $175 * 95 = 16625$
The ... | ((38 + 95) + 42) * 95 | 16625 | arithmetic | 1 | 3 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((68 * 75) / sin(45)) / log(32, 10). 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. $log(32, 10) = 1.5... | ((68 * 75) / sin(45)) / log(32, 10) | 4791.874080318284 | mixed | 2 | 5 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: log(38, 3) / tan(315). 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. $tan(315) = -1.00000000000000... | log(38, 3) / tan(315) | -3.311073612817831 | mixed | 1 | 3 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: 2**3 + 4**4. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $2**3 = 8$
2. $4**4 = 256$
3. $8 + 256 = 264$
The answer is $264$
3. Dra... | 2**3 + 4**4 | 264 | power | 3 | 3 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: 51 * 22. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $51 * 22 = 1122$
The answer is $1122$
3. Drafting the response: "Ответ на ваш за... | 51 * 22 | 1122 | arithmetic | 4 | 1 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((17 * 92) * 37) + 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. $17 * 92 = 1564$
3. $1564 * 37 = 57868$
... | ((17 * 92) * 37) + sqrt(49) | 57875 | power | 5 | 4 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((cos(90) + 19) / 16) - 11. 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. $6.123233995736766e-17 +... | ((cos(90) + 19) / 16) - 11 | -9.8125 | trig | 5 | 4 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: log(30, 2) * sec(30). This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $log(30, 2) = 4.906890595608519$
2. $sec(30) = 1.1547005383792515$
... | log(30, 2) * sec(30) | 5.665989212517243 | mixed | 3 | 3 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: (83 * 69) / sec(45). This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $sec(45) = 1.414213562373095$
2. $83 * 69 = 5727$
3. $5727 / 1.414... | (83 * 69) / sec(45) | 4049.600535855358 | trig | 1 | 3 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: (74 * 88) / 21. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $74 * 88 = 6512$
2. $6512 / 21 = 310.0952380952381$
The answer is $310.... | (74 * 88) / 21 | 310.0952380952381 | arithmetic | 1 | 2 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: log(38, 5) + 78. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $log(38, 5) = 2.2601593585085435$
2. $2.2601593585085435 + 78 = 80.26015... | log(38, 5) + 78 | 80.26015935850855 | log | 4 | 2 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((sqrt(25) / 45) / 17) + cos(270). This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $sqrt(25) = 5$
2. $cos(270) = -1.8369701987210297e-16$... | ((sqrt(25) / 45) / 17) + cos(270) | 0.006535947712418116 | mixed | 1 | 5 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: 81 - 43. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $81 - 43 = 38$
The answer is $38$
3. Drafting the response: "Ответ на ваш запрос... | 81 - 43 | 38 | arithmetic | 1 | 1 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((84 - 21) * 52) * 57. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $84 - 21 = 63$
2. $63 * 52 = 3276$
3. $3276 * 57 = 186732$
The... | ((84 - 21) * 52) * 57 | 186732 | arithmetic | 2 | 3 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((69 * 49) * sqrt(4)) - 55. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $sqrt(4) = 2$
2. $69 * 49 = 3381$
3. $3381 * 2 = 6762$
4.... | ((69 * 49) * sqrt(4)) - 55 | 6707 | power | 2 | 4 |
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