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: ((78 - cos(45)) + 70) + 54. 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. $78 - 0.7071067811865476 = ... | ((78 - cos(45)) + 70) + 54 | 201.29289321881345 | trig | 1 | 4 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: sin(90) - 33. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $sin(90) = 1$
2. $1 - 33 = -32$
The answer is $-32$
3. Drafting the respo... | sin(90) - 33 | -32 | trig | 4 | 2 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: (tan(360) - log(32, 10)) + 2. 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. $log(32, 10) = 1.50... | (tan(360) - log(32, 10)) + 2 | 0.49485002168009395 | mixed | 5 | 4 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: (13 * sqrt(36)) * 43. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $sqrt(36) = 6$
2. $13 * 6 = 78$
3. $78 * 43 = 3354$
The answer ... | (13 * sqrt(36)) * 43 | 3354 | power | 4 | 3 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((cbrt(8) / tan(315)) * log(34, 2)) + 86. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $cbrt(8) = 2$
2. $tan(315) = -1.000000000000000... | ((cbrt(8) / tan(315)) * log(34, 2)) + 86 | 75.82507431749933 | mixed | 2 | 6 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: (sqrt(25) - 46) * 15. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $sqrt(25) = 5$
2. $5 - 46 = -41$
3. $-41 * 15 = -615$
The answe... | (sqrt(25) - 46) * 15 | -615 | power | 1 | 3 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((94 * 60) * cos(270)) - 4. 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. $94 * 60 = 5640$
3.... | ((94 * 60) * cos(270)) - 4 | -4.000000000001036 | trig | 2 | 4 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: (91 / 29) - cbrt(64). This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $cbrt(64) = 3.9999999999999996$
2. $91 / 29 = 3.1379310344827585$
... | (91 / 29) - cbrt(64) | -0.8620689655172411 | power | 2 | 3 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((cbrt(125) + 23) / 86) * sin(30). 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. $sin(30) = 0.499999... | ((cbrt(125) + 23) / 86) * sin(30) | 24.162790697674417 | mixed | 3 | 6 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: 5 - 27. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $5 - 27 = -22$
The answer is $-22$
3. Drafting the response: "Ответ на ваш запрос... | 5 - 27 | -22 | arithmetic | 4 | 1 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: (cbrt(64) / log(43, 2)) / 31. 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. $log(43, 2) = 5.42626475... | (cbrt(64) / log(43, 2)) / 31 | 0.02377920427725241 | mixed | 2 | 4 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((70 / sec(360)) + csc(210)) * sqrt(25). This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $sec(360) = 1$
2. $csc(210) = -1.999999999999999... | ((70 / sec(360)) + csc(210)) * sqrt(25) | 339 | mixed | 1 | 8 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((cos(30) - 83) * sqrt(36)) * 88. 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. $sqrt(36) = 6$
3. $... | ((cos(30) - 83) * sqrt(36)) * 88 | -43366.73858680182 | mixed | 5 | 5 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((26 + 84) + cos(0)) + 87. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $cos(0) = 1$
2. $26 + 84 = 110$
3. $110 + 1 = 111$
4. $111... | ((26 + 84) + cos(0)) + 87 | 281 | trig | 1 | 5 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: (sqrt(49) - 5**4) / 13. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $sqrt(49) = 7$
2. $5**4 = 625$
3. $7 - 625 = -618$
4. $-618 /... | (sqrt(49) - 5**4) / 13 | -47.53846153846154 | power | 2 | 4 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: 19 * 41. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $19 * 41 = 779$
The answer is $779$
3. Drafting the response: "Ответ на ваш запр... | 19 * 41 | 779 | arithmetic | 4 | 1 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: (33 + 30) * log(24, 2). This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $log(24, 2) = 4.584962500721157$
2. $33 + 30 = 63$
3. $63 * 4.5... | (33 + 30) * log(24, 2) | 288.8526375454329 | log | 3 | 3 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((78 + csc(90)) * log(22, 2)) + 3**4. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $csc(90) = 1$
2. $log(22, 2) = 4.459431618637297$
... | ((78 + csc(90)) * log(22, 2)) + 3**4 | 430.2950978723465 | mixed | 1 | 8 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((3 - 87) + 89) - 6. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $3 - 87 = -84$
2. $-84 + 89 = 5$
3. $5 - 6 = -1$
The answer is $... | ((3 - 87) + 89) - 6 | -1 | arithmetic | 2 | 3 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((74 / 60) * 68) - 63. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $74 / 60 = 1.2333333333333334$
2. $1.2333333333333334 * 68 = 83.86... | ((74 / 60) * 68) - 63 | 20.866666666666674 | arithmetic | 1 | 3 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((55 - 13) / tan(30)) + 19. 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. $sqrt(64) = 8$
3. $55 - 1... | ((55 - 13) / tan(30)) + 19 | 83.74613391789285 | mixed | 3 | 6 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((tan(60) + 51) / 11) * cos(45). 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. $cos(45) = 0.707106781... | ((tan(60) + 51) / 11) * cos(45) | 3.3897446101732287 | trig | 5 | 5 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: 15 - 80. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $15 - 80 = -65$
The answer is $-65$
3. Drafting the response: "Ответ на ваш запр... | 15 - 80 | -65 | arithmetic | 3 | 1 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((14 + cos(60)) + cos(90)) * log(24, 2). 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. $cos(90) = 6.1... | ((14 + cos(60)) + cos(90)) * log(24, 2) | 68.12540893694296 | mixed | 3 | 8 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: (59 - 4) + cbrt(125). 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. $59 - 4 = 55$
3. $55 + 4.99999... | (59 - 4) + cbrt(125) | 60 | power | 2 | 3 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((log(35, 3) * cbrt(125)) + 7) / log(17, 3). This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $log(35, 3) = 3.236217269879349$
2. $cbrt(12... | ((log(35, 3) * cbrt(125)) + 7) / log(17, 3) | 8.98874289913641 | mixed | 2 | 6 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((sqrt(16) + 27) / 40) + tan(180). This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $sqrt(16) = 4$
2. $tan(180) = -1.2246467991473532e-16$... | ((sqrt(16) + 27) / 40) + tan(180) | -1.4236519040087977e-16 | mixed | 4 | 7 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: log(27, 3) * cos(90). This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $log(27, 3) = 3$
2. $cos(90) = 6.123233995736766e-17$
3. $3 * 6.1... | log(27, 3) * cos(90) | 1.8369701987210297e-16 | mixed | 4 | 3 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: (sec(240) / cos(0)) * 75. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $sec(240) = -1.9999999999999982$
2. $cos(0) = 1$
3. $-1.99999... | (sec(240) / cos(0)) * 75 | -149.99999999999986 | trig | 4 | 4 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((log(35, 5) / 13) + 6**3) - 96. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $log(35, 5) = 2.2090619551221677$
2. $6**3 = 216$
3. $... | ((log(35, 5) / 13) + 6**3) - 96 | 120.1699278427017 | mixed | 5 | 5 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: (cbrt(27) + 8) + 28. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $cbrt(27) = 3$
2. $3 + 8 = 11$
3. $11 + 28 = 39$
The answer is $... | (cbrt(27) + 8) + 28 | 39 | power | 4 | 3 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: (94 - 75) / log(22, 3). This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $log(22, 3) = 2.8135880922155954$
2. $94 - 75 = 19$
3. $19 / 2.... | (94 - 75) / log(22, 3) | 6.752942995660112 | log | 1 | 3 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: (57 / 9) * 40. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $57 / 9 = 6.333333333333333$
2. $6.333333333333333 * 40 = 253.333333333333... | (57 / 9) * 40 | 253.33333333333331 | arithmetic | 4 | 2 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((sin(60) + 90) / 6**4) * 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. $6**4 = 1296$
3. $0.866... | ((sin(60) + 90) / 6**4) * 61 | 4.276873109283064 | mixed | 5 | 5 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((cbrt(125) / 96) + sec(30)) + 83. 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. $sec(30) = 1.154700... | ((cbrt(125) / 96) + sec(30)) + 83 | 84.20678387171259 | mixed | 1 | 5 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((sqrt(9) * 3) / tan(315)) - sec(45). This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $sqrt(9) = 3$
2. $tan(315) = -1.0000000000000004$
... | ((sqrt(9) * 3) / tan(315)) - sec(45) | -10.414213562373092 | mixed | 4 | 6 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((33 - 70) * 11) * 53. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $33 - 70 = -37$
2. $-37 * 11 = -407$
3. $-407 * 53 = -21571$
4... | ((33 - 70) * 11) * 53 | -21475 | arithmetic | 3 | 4 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: (53 - log(31, 2)) + 80. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $log(31, 2) = 4.954196310386876$
2. $53 - 4.954196310386876 = 48.... | (53 - log(31, 2)) + 80 | 128.04580368961314 | log | 5 | 3 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: 89 - 10. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $89 - 10 = 79$
The answer is $79$
3. Drafting the response: "Ответ на ваш запрос... | 89 - 10 | 79 | arithmetic | 5 | 1 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((20 - 33) * sqrt(49)) + sqrt(36). This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $sqrt(49) = 7$
2. $sqrt(36) = 6$
3. $20 - 33 = -13$
... | ((20 - 33) * sqrt(49)) + sqrt(36) | -85 | power | 1 | 5 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((70 * 23) * 96) / 66. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $sec(360) = 1$
2. $70 * 23 = 1610$
3. $1610 * 96 = 154560$
4. ... | ((70 * 23) * 96) / 66 | 2342.818181818182 | trig | 1 | 5 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: 45 + 13. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $45 + 13 = 58$
The answer is $58$
3. Drafting the response: "Ответ на ваш запрос... | 45 + 13 | 58 | arithmetic | 1 | 1 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: (86 / log(15, 5)) - sqrt(25). 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. $sqrt(25) = 5$
3. $8... | (86 / log(15, 5)) - sqrt(25) | 46.11118708692969 | mixed | 5 | 4 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: (cos(180) * 34) / sec(30). This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $cos(180) = -1$
2. $sec(30) = 1.1547005383792515$
3. $-1 * 3... | (cos(180) * 34) / sec(30) | -29.444863728670917 | trig | 1 | 4 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: sqrt(64) - log(30, 2). This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $sqrt(64) = 8$
2. $log(30, 2) = 4.906890595608519$
3. $8 - 4.906... | sqrt(64) - log(30, 2) | 3.0931094043914813 | mixed | 4 | 3 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: (tan(0) / 100) - 41. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $tan(0) = 0$
2. $0 / 100 = 0$
3. $0 - 41 = -41$
The answer is $-... | (tan(0) / 100) - 41 | -41 | trig | 2 | 3 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((38 - 81) + log(35, 5)) + 6. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $log(35, 5) = 2.2090619551221677$
2. $38 - 81 = -43$
3. $... | ((38 - 81) + log(35, 5)) + 6 | -34.790938044877834 | log | 5 | 4 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: (sqrt(81) / 53) - tan(135). This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $sqrt(81) = 9$
2. $tan(135) = -1.0000000000000002$
3. $9 / ... | (sqrt(81) / 53) - tan(135) | 1.1698113207547172 | mixed | 1 | 4 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: tan(45) - 21. 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. $0.9999999999999999 - 21 = -20$
The ans... | tan(45) - 21 | -20 | trig | 2 | 2 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: (tan(315) - sqrt(36)) + 81. 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. $sqrt(36) = 6$
3. $-1.0... | (tan(315) - sqrt(36)) + 81 | 74 | mixed | 5 | 4 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: 16 / 86. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $16 / 86 = 0.18604651162790697$
The answer is $0.18604651162790697$
3. Drafting ... | 16 / 86 | 0.18604651162790697 | arithmetic | 1 | 1 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: (log(17, 5) * sqrt(4)) * cot(90). This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $log(17, 5) = 1.7603744277225881$
2. $sqrt(4) = 2$
3.... | (log(17, 5) * sqrt(4)) * cot(90) | 2.1558369082113212e-16 | mixed | 1 | 5 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: (6 * log(21, 5)) - 17. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $log(21, 5) = 1.8916681496081529$
2. $6 * 1.8916681496081529 = 11.... | (6 * log(21, 5)) - 17 | -5.649991102351082 | log | 5 | 3 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: 93 + 10. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $93 + 10 = 103$
The answer is $103$
3. Drafting the response: "Ответ на ваш запр... | 93 + 10 | 103 | arithmetic | 5 | 1 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: (33 / 18) + cos(0). This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $cos(0) = 1$
2. $33 / 18 = 1.8333333333333333$
3. $1.83333333333333... | (33 / 18) + cos(0) | 2.833333333333333 | trig | 5 | 3 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: (92 / cos(0)) - cos(30). This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $cos(0) = 1$
2. $cos(30) = 0.8660254037844387$
3. $92 / 1 = 92... | (92 / cos(0)) - cos(30) | 91.13397459621557 | trig | 4 | 4 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((csc(45) + 43) + 2**2) + 74. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $csc(45) = 1.414213562373095$
2. $2**2 = 4$
3. $1.4142135... | ((csc(45) + 43) + 2**2) + 74 | 1.3910706086633307 | mixed | 3 | 6 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((79 - cot(45)) / 5) - 50. 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. $79 - 1.0000000000000002 = 7... | ((79 - cot(45)) / 5) - 50 | -57.4 | trig | 4 | 5 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: (cos(360) * tan(60)) - 24. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $cos(360) = 1$
2. $tan(60) = 1.7320508075688767$
3. $1 * 1.7... | (cos(360) * tan(60)) - 24 | -22.267949192431125 | trig | 5 | 4 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: (10 / 99) + log(24, 10). This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $log(24, 10) = 1.380211241711606$
2. $10 / 99 = 0.10101010101010... | (10 / 99) + log(24, 10) | 1.481221342721707 | log | 3 | 3 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: log(35, 3) / 8. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $log(35, 3) = 3.236217269879349$
2. $3.236217269879349 / 8 = 0.4045271587... | log(35, 3) / 8 | 0.4045271587349186 | log | 3 | 2 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((cos(90) * 98) / tan(135)) / cos(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. $tan(135) = -... | ((cos(90) * 98) / tan(135)) / cos(45) | 4.999999999999991 | trig | 1 | 7 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((7 * sin(90)) + 5) / sin(270). This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $sin(90) = 1$
2. $sin(270) = -1$
3. $7 * 1 = 7$
4. $7... | ((7 * sin(90)) + 5) / sin(270) | -93 | trig | 5 | 6 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((25 - tan(60)) - 91) * 19. 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. $25 - 1.7320508075688767 = ... | ((25 - tan(60)) - 91) * 19 | -1239.9089653438084 | trig | 3 | 5 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: 19 / 66. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $19 / 66 = 0.2878787878787879$
The answer is $0.2878787878787879$
3. Drafting th... | 19 / 66 | 0.2878787878787879 | arithmetic | 1 | 1 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: 7 / cbrt(8). This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $cbrt(8) = 2$
2. $7 / 2 = 3.5$
The answer is $3.5$
3. Drafting the respons... | 7 / cbrt(8) | 3.5 | power | 1 | 2 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((35 + sqrt(100)) / 56) / sec(120). This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $sqrt(100) = 10$
2. $sec(120) = -2.000000000000001$
... | ((35 + sqrt(100)) / 56) / sec(120) | -0.40178571428571414 | mixed | 4 | 5 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((sin(30) - log(16, 2)) / 10) - 60. 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. $log(16, 2) = 4$
... | ((sin(30) - log(16, 2)) / 10) - 60 | -0.8381944444444445 | mixed | 2 | 6 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((cot(90) + sin(90)) - 86) * 48. 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. $sin(90) = 1$
3. ... | ((cot(90) + sin(90)) - 86) * 48 | -4080 | trig | 2 | 7 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: 75 / 96. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $75 / 96 = 0.78125$
The answer is $0.78125$
3. Drafting the response: "Ответ на ... | 75 / 96 | 0.78125 | arithmetic | 5 | 1 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: cos(270) - tan(45). 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. $tan(45) = 0.9999999999999999... | cos(270) - tan(45) | -1 | trig | 4 | 3 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((27 * tan(135)) / 94) + 96. 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. $cos(360) = 1$
3. $27 ... | ((27 * tan(135)) / 94) + 96 | 96.7127659574468 | trig | 1 | 6 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: sec(180) / 30. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $sec(180) = -1$
2. $-1 / 30 = -0.03333333333333333$
The answer is $-0.03... | sec(180) / 30 | -0.03333333333333333 | trig | 3 | 2 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((96 - 68) * cot(60)) * 87. 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. $96 - 68 = 28$
3. $28 * 0.... | ((96 - 68) * cot(60)) * 87 | 1471.4252557459288 | trig | 3 | 5 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((25 / cbrt(64)) - 47) / 62. 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. $25 / 3.9999999999999996 ... | ((25 / cbrt(64)) - 47) / 62 | -0.021908602150537634 | power | 3 | 5 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((tan(360) / sec(45)) / tan(60)) - tan(360). This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $tan(360) = -2.4492935982947064e-16$
2. $sec... | ((tan(360) / sec(45)) / tan(60)) - tan(360) | 1.1450052024179785e-14 | trig | 5 | 8 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((47 - 66) + 52) - csc(30). 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. $47 - 66 = -19$
3. $-19 +... | ((47 - 66) + 52) - csc(30) | 31 | trig | 4 | 4 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((sin(0) + tan(135)) - 94) - cos(180). This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $sin(0) = 0$
2. $tan(135) = -1.0000000000000002$
... | ((sin(0) + tan(135)) - 94) - cos(180) | -5.529411764705882 | trig | 5 | 7 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: (48 * log(18, 3)) - 20. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $log(18, 3) = 2.630929753571457$
2. $48 * 2.630929753571457 = 126... | (48 * log(18, 3)) - 20 | 106.28462817142993 | log | 4 | 3 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: (91 * 29) + sqrt(4). This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $sqrt(4) = 2$
2. $91 * 29 = 2639$
3. $2639 + 2 = 2641$
The answe... | (91 * 29) + sqrt(4) | 2641 | power | 4 | 3 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((70 + sec(240)) + 94) / tan(135). This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $sec(240) = -1.9999999999999982$
2. $tan(135) = -1.000... | ((70 + sec(240)) + 94) / tan(135) | -161.99999999999997 | trig | 4 | 5 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((sqrt(25) * 100) / 49) * log(32, 5). This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $sqrt(25) = 5$
2. $log(32, 5) = 2.1533827903669653$... | ((sqrt(25) * 100) / 49) * log(32, 5) | 146.97329377925476 | mixed | 4 | 7 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: (18 / log(6, 5)) * log(16, 3). This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $log(6, 5) = 1.1132827525593785$
2. $log(16, 3) = 2.523719... | (18 / log(6, 5)) * log(16, 3) | 40.804496569007995 | log | 3 | 4 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: 78 * 69. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $78 * 69 = 5382$
The answer is $5382$
3. Drafting the response: "Ответ на ваш за... | 78 * 69 | 5382 | arithmetic | 3 | 1 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: (6**3 - tan(315)) + tan(45). This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $6**3 = 216$
2. $tan(315) = -1.0000000000000004$
3. $tan(4... | (6**3 - tan(315)) + tan(45) | 218 | mixed | 5 | 5 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((96 + 65) + 25) / 80. 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. $96 + 65 = 161$
3. $161 ... | ((96 + 65) + 25) / 80 | 2.325 | trig | 1 | 5 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((22 + 20) * tan(60)) + cbrt(125). This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $tan(60) = 1.7320508075688767$
2. $cbrt(125) = 4.99999... | ((22 + 20) * tan(60)) + cbrt(125) | 77.74613391789282 | mixed | 5 | 5 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((log(42, 3) - 52) * log(6, 10)) / 71. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $log(42, 3) = 3.4021735027328797$
2. $log(6, 10) =... | ((log(42, 3) - 52) * log(6, 10)) / 71 | -0.5326261895038842 | log | 4 | 5 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: sqrt(25) + sin(0). This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $sqrt(25) = 5$
2. $sin(0) = 0$
3. $5 + 0 = 5$
The answer is $5$
3.... | sqrt(25) + sin(0) | 5 | mixed | 3 | 3 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: (log(18, 10) - 68) * 53. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $log(18, 10) = 1.2552725051033058$
2. $1.2552725051033058 - 68 =... | (log(18, 10) - 68) * 53 | -3537.4705572295247 | log | 4 | 3 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: 62 / cbrt(125). 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. $62 / 4.999999999999999 = 12.400000000... | 62 / cbrt(125) | 12.400000000000002 | power | 1 | 2 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((log(46, 3) * sqrt(81)) / 22) + sin(0). This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $log(46, 3) = 3.4849795837717283$
2. $sqrt(81) =... | ((log(46, 3) * sqrt(81)) / 22) + sin(0) | 1.4256734660884343 | mixed | 3 | 6 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((66 / cbrt(27)) + cbrt(216)) / 12. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $cbrt(27) = 3$
2. $cbrt(216) = 5.999999999999999$
3... | ((66 / cbrt(27)) + cbrt(216)) / 12 | 1.3333333333333335 | mixed | 4 | 7 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((6**3 - sqrt(25)) + 51) * 39. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $6**3 = 216$
2. $sqrt(25) = 5$
3. $216 - 5 = 211$
4. $... | ((6**3 - sqrt(25)) + 51) * 39 | 10299 | power | 3 | 6 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: (tan(360) - sec(30)) + sqrt(64). 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. $sec(30) = 1.154... | (tan(360) - sec(30)) + sqrt(64) | 6.8452994616207485 | mixed | 2 | 5 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((48 * 41) * sin(270)) * 92. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $sin(270) = -1$
2. $48 * 41 = 1968$
3. $1968 * -1 = -1968$... | ((48 * 41) * sin(270)) * 92 | -181056 | trig | 3 | 4 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: (58 + sqrt(36)) * sin(45). This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $sqrt(36) = 6$
2. $sin(45) = 0.7071067811865476$
3. $58 + 6 ... | (58 + sqrt(36)) * sin(45) | 45.254833995939045 | mixed | 5 | 4 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((68 * 58) + 85) - 76. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $68 * 58 = 3944$
2. $3944 + 85 = 4029$
3. $4029 - 76 = 3953$
T... | ((68 * 58) + 85) - 76 | 3953 | arithmetic | 5 | 3 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: (88 + sqrt(64)) / sqrt(49). This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $sqrt(64) = 8$
2. $sqrt(49) = 7$
3. $88 + 8 = 96$
4. $96 ... | (88 + sqrt(64)) / sqrt(49) | 13.714285714285714 | power | 4 | 4 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: (60 * sqrt(16)) - sqrt(81). This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $sqrt(16) = 4$
2. $sqrt(81) = 9$
3. $60 * 4 = 240$
4. $24... | (60 * sqrt(16)) - sqrt(81) | 231 | power | 3 | 4 |
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