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: ((csc(150) - 52) - log(18, 10)) + sec(240). 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. $log(18, 1... | ((csc(150) - 52) - log(18, 10)) + sec(240) | -53.25527250510331 | mixed | 5 | 8 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: 85 / 3. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $85 / 3 = 28.333333333333332$
The answer is $28.333333333333332$
3. Drafting the ... | 85 / 3 | 28.333333333333332 | arithmetic | 1 | 1 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((98 + 69) * 64) - 34. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $98 + 69 = 167$
2. $167 * 64 = 10688$
3. $10688 - 34 = 10654$
... | ((98 + 69) * 64) - 34 | 628586 | arithmetic | 3 | 4 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((84 * sqrt(25)) * log(50, 10)) / sin(90). 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(50, 10) = 1.69897000433... | ((84 * sqrt(25)) * log(50, 10)) / sin(90) | 713.5674018211278 | mixed | 5 | 6 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((cos(180) * cbrt(27)) * csc(210)) * 36. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $cos(180) = -1$
2. $cbrt(27) = 3$
3. $csc(210)... | ((cos(180) * cbrt(27)) * csc(210)) * 36 | 219.35776278143223 | mixed | 4 | 8 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((29 / tan(60)) - 30) - tan(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. $tan(45) = 0.999999999... | ((29 / tan(60)) - 30) - tan(45) | -16.462383356423462 | trig | 5 | 7 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((sin(180) / 37) + log(11, 10)) * 45. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $sin(180) = 1.2246467991473532e-16$
2. $log(11, 10)... | ((sin(180) / 37) + log(11, 10)) * 45 | 0.624835611094935 | mixed | 2 | 6 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: (log(19, 3) * 25) - 16. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $log(19, 3) = 2.680143859246375$
2. $2.680143859246375 * 25 = 67.... | (log(19, 3) * 25) - 16 | 51.00359648115938 | log | 2 | 3 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: (83 / 76) + tan(180). This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $tan(180) = -1.2246467991473532e-16$
2. $83 / 76 = 1.09210526315789... | (83 / 76) + tan(180) | 1.0921052631578945 | trig | 4 | 3 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((log(2, 3) * cot(225)) / 1) * 44. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $log(2, 3) = 0.6309297535714574$
2. $cot(225) = 1.0000... | ((log(2, 3) * cot(225)) / 1) * 44 | 27.76090915714414 | mixed | 5 | 5 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: (91 + 26) * 73. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $91 + 26 = 117$
2. $117 * 73 = 8541$
The answer is $8541$
3. Drafting t... | (91 + 26) * 73 | 8541 | arithmetic | 2 | 2 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: 20 + 12. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $20 + 12 = 32$
The answer is $32$
3. Drafting the response: "Ответ на ваш запрос... | 20 + 12 | 32 | arithmetic | 1 | 1 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((57 / log(28, 5)) * sqrt(16)) - log(6, 10). This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $log(28, 5) = 2.0704150712689535$
2. $sqrt(1... | ((57 / log(28, 5)) * sqrt(16)) - log(6, 10) | 109.34469472574192 | mixed | 3 | 6 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((sqrt(100) * sec(45)) + 66) - 67. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $sqrt(100) = 10$
2. $sec(45) = 1.414213562373095$
3.... | ((sqrt(100) * sec(45)) + 66) - 67 | 13.142135623730951 | mixed | 2 | 5 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((tan(360) * cos(270)) - 55) / log(16, 10). This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $tan(360) = -2.4492935982947064e-16$
2. $cos(... | ((tan(360) * cos(270)) - 55) / log(16, 10) | -3.0451007536467496 | mixed | 5 | 7 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((91 / 34) + 50) / 80. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $91 / 34 = 2.676470588235294$
2. $2.676470588235294 + 50 = 52.6764... | ((91 / 34) + 50) / 80 | 0.6584558823529412 | arithmetic | 1 | 3 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: (1 - sin(30)) * 36. 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. $1 - 0.49999999999999994 = 0.5$
... | (1 - sin(30)) * 36 | 18 | trig | 4 | 3 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: cot(90) - 85. 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. $6.123233995736766e-17 - 85 = -85$
T... | cot(90) - 85 | -85 | trig | 4 | 2 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((23 * 90) * sec(0)) + 33. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $sec(0) = 1$
2. $23 * 90 = 2070$
3. $2070 * 1 = 2070$
4. $... | ((23 * 90) * sec(0)) + 33 | 2103 | trig | 4 | 4 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((66 + 17) / sqrt(16)) - tan(30). This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $sqrt(16) = 4$
2. $tan(30) = 0.5773502691896257$
3. $... | ((66 + 17) / sqrt(16)) - tan(30) | 20.172649730810374 | mixed | 1 | 5 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: (79 + 47) - sin(30). 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. $79 + 47 = 126$
3. $126 - 0.499... | (79 + 47) - sin(30) | 125.5 | trig | 1 | 3 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: log(13, 3) + 79. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $log(13, 3) = 2.3347175194727927$
2. $2.3347175194727927 + 79 = 81.33471... | log(13, 3) + 79 | 81.33471751947279 | log | 4 | 2 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: 16 + 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. $16 + 2.0000000000000004 = 18$
The an... | 16 + csc(150) | 18 | trig | 1 | 2 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((30 / cos(30)) * 27) - 48. 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. $30 / 0.8660254037844387 = ... | ((30 / cos(30)) * 27) - 48 | 887.3074360871937 | trig | 4 | 4 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: (cbrt(27) * 58) - log(27, 3). This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $cbrt(27) = 3$
2. $log(27, 3) = 3$
3. $3 * 58 = 174$
4.... | (cbrt(27) * 58) - log(27, 3) | 171 | mixed | 2 | 4 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((4 / 61) * 16) * 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. $cot(30) = 1.7320508075688774$
3. $4 / 61 =... | ((4 / 61) * 16) * cbrt(8) | 1.2114890894470836 | mixed | 4 | 6 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((88 / 4) + 47) - 14. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $88 / 4 = 22$
2. $22 + 47 = 69$
3. $69 - 14 = 55$
The answer is... | ((88 / 4) + 47) - 14 | 55 | arithmetic | 3 | 3 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: 47 - 88. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $47 - 88 = -41$
The answer is $-41$
3. Drafting the response: "Ответ на ваш запр... | 47 - 88 | -41 | arithmetic | 4 | 1 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((csc(90) + 39) - log(36, 3)) * 85. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $csc(90) = 1$
2. $log(36, 3) = 3.2618595071429146$
... | ((csc(90) + 39) - log(36, 3)) * 85 | 4047073.556693136 | mixed | 4 | 7 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((cot(90) * sqrt(9)) / 97) * 92. 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. $sqrt(9) = 3$
3. ... | ((cot(90) * sqrt(9)) / 97) * 92 | 2.863356394367386e-16 | mixed | 3 | 7 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((55 / cos(30)) - 95) / 52. 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. $55 / 0.8660254037844387 = ... | ((55 / cos(30)) - 95) / 52 | -0.6056051997911763 | trig | 2 | 4 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((tan(30) + sqrt(4)) / log(19, 3)) / cot(45). 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(4) ... | ((tan(30) + sqrt(4)) / log(19, 3)) / cot(45) | 0.9616462415992646 | mixed | 4 | 7 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: 44 + 53. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $44 + 53 = 97$
The answer is $97$
3. Drafting the response: "Ответ на ваш запрос... | 44 + 53 | 97 | arithmetic | 3 | 1 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((sqrt(16) - 15) - cbrt(27)) / 19. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $sqrt(16) = 4$
2. $cbrt(27) = 3$
3. $4 - 15 = -11$
... | ((sqrt(16) - 15) - cbrt(27)) / 19 | -0.7368421052631579 | power | 2 | 5 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: csc(45) * 9. 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. $1.414213562373095 * 9 = 12.727922061357855... | csc(45) * 9 | 12.727922061357855 | trig | 5 | 2 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((sqrt(4) / sqrt(9)) * 72) - 10. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $sqrt(4) = 2$
2. $sqrt(9) = 3$
3. $2 / 3 = 0.666666666... | ((sqrt(4) / sqrt(9)) * 72) - 10 | 3800 | power | 2 | 6 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: 77 + 66. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $77 + 66 = 143$
The answer is $143$
3. Drafting the response: "Ответ на ваш запр... | 77 + 66 | 143 | arithmetic | 2 | 1 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((21 * tan(30)) + 3**2) - 5. 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. $3**2 = 9$
3. $21 * 0.57... | ((21 * tan(30)) + 3**2) - 5 | 435.35760263051776 | mixed | 5 | 6 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: (73 / cos(180)) + 99. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $cos(180) = -1$
2. $73 / -1 = -73$
3. $-73 + 99 = 26$
The answe... | (73 / cos(180)) + 99 | 26 | trig | 1 | 3 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((29 / 10) / csc(60)) + 48. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $csc(60) = 1.1547005383792517$
2. $29 / 10 = 2.9$
3. $2.9 /... | ((29 / 10) / csc(60)) + 48 | 50.51147367097487 | trig | 5 | 4 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((96 + 89) * log(8, 2)) + sqrt(81). This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $log(8, 2) = 3$
2. $sqrt(81) = 9$
3. $96 + 89 = 185... | ((96 + 89) * log(8, 2)) + sqrt(81) | 564 | mixed | 2 | 5 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((3**2 - 41) + 40) - 21. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $3**2 = 9$
2. $9 - 41 = -32$
3. $-32 + 40 = 8$
4. $8 - 21 = ... | ((3**2 - 41) + 40) - 21 | -13 | power | 1 | 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. $78 - 69 = 9$
The answer is $9$
3. Drafting the response: "Ответ на ваш запрос в... | 78 - 69 | 9 | arithmetic | 1 | 1 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: 44 / 88. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $44 / 88 = 0.5$
The answer is $0.5$
3. Drafting the response: "Ответ на ваш запр... | 44 / 88 | 0.5 | arithmetic | 3 | 1 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((58 / 78) / 62) + 55. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $58 / 78 = 0.7435897435897436$
2. $0.7435897435897436 / 62 = 0.011... | ((58 / 78) / 62) + 55 | 0.6323217630225416 | arithmetic | 4 | 4 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: 39 + log(19, 2). This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $log(19, 2) = 4.247927513443585$
2. $39 + 4.247927513443585 = 43.2479275... | 39 + log(19, 2) | 43.247927513443585 | log | 5 | 2 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: (50 / 49) * 79. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $50 / 49 = 1.0204081632653061$
2. $1.0204081632653061 * 79 = 80.612244897... | (50 / 49) * 79 | 80.61224489795919 | arithmetic | 5 | 2 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: tan(180) - sec(120). This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $tan(180) = -1.2246467991473532e-16$
2. $sec(120) = -2.0000000000000... | tan(180) - sec(120) | 2.000000000000001 | trig | 5 | 3 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((49 * 64) / log(35, 3)) * sqrt(16). 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. $sqrt(16) = 4$
... | ((49 * 64) / log(35, 3)) * sqrt(16) | 176.18774347714773 | mixed | 3 | 6 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((cos(0) / log(14, 10)) * sqrt(9)) / sqrt(36). This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $cos(0) = 1$
2. $log(14, 10) = 1.146128035... | ((cos(0) / log(14, 10)) * sqrt(9)) / sqrt(36) | 5.671268652069514 | mixed | 3 | 8 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: sin(30) + 2**2. 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. $2**2 = 4$
3. $0.49999999999999994 +... | sin(30) + 2**2 | 4.5 | mixed | 3 | 3 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: (61 + 68) + sec(360). This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $sec(360) = 1$
2. $61 + 68 = 129$
3. $129 + 1 = 130$
The answer... | (61 + 68) + sec(360) | 130 | trig | 4 | 3 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: (15 / 24) / 38. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $15 / 24 = 0.625$
2. $0.625 / 38 = 0.01644736842105263$
The answer is $... | (15 / 24) / 38 | 0.01644736842105263 | arithmetic | 4 | 2 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((39 / 19) - 20) + sin(90). This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $sin(90) = 1$
2. $39 / 19 = 2.0526315789473686$
3. $2.05263... | ((39 / 19) - 20) + sin(90) | -15.94736842105263 | trig | 3 | 5 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((72 + sin(360)) / sqrt(4)) - 87. 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. $sqrt(4) = 2$
... | ((72 + sin(360)) / sqrt(4)) - 87 | -51 | mixed | 2 | 5 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((10 / 81) + sec(60)) / 86. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $sec(60) = 1.9999999999999996$
2. $sqrt(25) = 5$
3. $10 / 8... | ((10 / 81) + sec(60)) / 86 | 5.0246913580246915 | mixed | 2 | 6 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((46 * 86) + log(14, 5)) * sqrt(81). This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $log(14, 5) = 1.6397385131955606$
2. $sqrt(81) = 9$
... | ((46 * 86) + log(14, 5)) * sqrt(81) | 35618.75764661876 | mixed | 3 | 5 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((3**3 / csc(30)) + sqrt(81)) / 17. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $3**3 = 27$
2. $csc(30) = 2.0000000000000004$
3. $s... | ((3**3 / csc(30)) + sqrt(81)) / 17 | 1.3235294117647056 | mixed | 2 | 6 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((csc(45) + csc(30)) * cos(270)) + 82. 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. $csc(30) = 2.0000... | ((csc(45) + csc(30)) * cos(270)) + 82 | 87.61470984411521 | mixed | 1 | 8 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((sqrt(64) / sqrt(64)) * log(9, 2)) - 94. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $sqrt(64) = 8$
2. $sqrt(64) = 8$
3. $log(9, 2... | ((sqrt(64) / sqrt(64)) * log(9, 2)) - 94 | -1.0813104166494962 | mixed | 5 | 7 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: 9 - 6. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $9 - 6 = 3$
The answer is $3$
3. Drafting the response: "Ответ на ваш запрос в рад... | 9 - 6 | 3 | arithmetic | 4 | 1 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((8 - 70) + 16) / log(5, 10). This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $log(5, 10) = 0.6989700043360187$
2. $8 - 70 = -62$
3. $-... | ((8 - 70) + 16) / log(5, 10) | -65.81112167137609 | log | 3 | 4 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((cos(90) / cbrt(125)) * sqrt(100)) - log(34, 5). 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. $c... | ((cos(90) / cbrt(125)) * sqrt(100)) - log(34, 5) | -1.191050985795981 | mixed | 2 | 9 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((57 - 3**3) - 35) / 5. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $3**3 = 27$
2. $cot(90) = 6.123233995736766e-17$
3. $57 - 27 = ... | ((57 - 3**3) - 35) / 5 | -0.9999999999999999 | mixed | 3 | 6 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: (51 * cbrt(64)) * 77. 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. $51 * 3.9999999999999996 = 203.9... | (51 * cbrt(64)) * 77 | 15707.999999999998 | power | 3 | 3 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: (cbrt(8) + log(27, 10)) * 4**3. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $cbrt(8) = 2$
2. $log(27, 10) = 1.4313637641589871$
3. ... | (cbrt(8) + log(27, 10)) * 4**3 | 219.60728090617516 | mixed | 3 | 5 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((cot(45) + sin(0)) - cot(60)) * 3**3. 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. $sin(0) = 0$
3... | ((cot(45) + sin(0)) - cot(60)) * 3**3 | 11.411542731880106 | mixed | 4 | 7 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((49 - 33) + 75) / cot(135). This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $cot(135) = -0.9999999999999998$
2. $49 - 33 = 16$
3. $16 ... | ((49 - 33) + 75) / cot(135) | -91.00000000000001 | trig | 5 | 4 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: 89 * 55. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $89 * 55 = 4895$
The answer is $4895$
3. Drafting the response: "Ответ на ваш за... | 89 * 55 | 4895 | arithmetic | 3 | 1 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: (47 - 39) / sin(30). 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. $47 - 39 = 8$
3. $8 / 0.4999999... | (47 - 39) / sin(30) | 16.000000000000004 | trig | 4 | 3 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: (93 + 34) / 65. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $93 + 34 = 127$
2. $127 / 65 = 1.9538461538461538$
The answer is $1.953... | (93 + 34) / 65 | 1.9538461538461538 | arithmetic | 4 | 2 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: (31 / sqrt(36)) - 51. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $sqrt(36) = 6$
2. $31 / 6 = 5.166666666666667$
3. $5.166666666666... | (31 / sqrt(36)) - 51 | -45.833333333333336 | power | 4 | 3 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: (32 + 3) * 68. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $32 + 3 = 35$
2. $35 * 68 = 2380$
The answer is $2380$
3. Drafting the r... | (32 + 3) * 68 | 2380 | arithmetic | 5 | 2 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((84 * cos(60)) + log(16, 2)) / 7. 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. $log(16, 2) = 4$
3... | ((84 * cos(60)) + log(16, 2)) / 7 | 6.571428571428572 | mixed | 2 | 5 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((sec(45) + sqrt(16)) - cot(30)) / 90. 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. $sqrt(16) = 4$
... | ((sec(45) + sqrt(16)) - cot(30)) / 90 | 0.040912919497824635 | mixed | 5 | 6 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: (sec(45) - log(20, 2)) - 38. 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. $log(20, 2) = 4.32192809488... | (sec(45) - log(20, 2)) - 38 | -40.90771453251427 | mixed | 1 | 4 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((cot(90) * sqrt(36)) + tan(360)) + 27. 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. $sqrt(36) = ... | ((cot(90) * sqrt(36)) + tan(360)) + 27 | 30 | mixed | 4 | 7 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: 60 - sin(60). 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. $60 - 0.8660254037844386 = 59.13397459621... | 60 - sin(60) | 59.13397459621556 | trig | 5 | 2 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((67 - 47) * cos(45)) * sin(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. $sin(45) = 0.707106781... | ((67 - 47) * cos(45)) * sin(45) | 10.000000000000002 | trig | 4 | 5 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: (tan(0) * 98) + 32. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $tan(0) = 0$
2. $0 * 98 = 0$
3. $0 + 32 = 32$
The answer is $32$
... | (tan(0) * 98) + 32 | 32 | trig | 3 | 3 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: 38 + 26. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $38 + 26 = 64$
The answer is $64$
3. Drafting the response: "Ответ на ваш запрос... | 38 + 26 | 64 | arithmetic | 4 | 1 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: 27 - sqrt(81). This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $sqrt(81) = 9$
2. $27 - 9 = 18$
The answer is $18$
3. Drafting the respo... | 27 - sqrt(81) | 18 | power | 4 | 2 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((log(3, 10) - tan(0)) + 47) / tan(315). This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $log(3, 10) = 0.47712125471966244$
2. $tan(0) = ... | ((log(3, 10) - tan(0)) + 47) / tan(315) | -45.47712125471964 | mixed | 3 | 8 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((54 - log(24, 10)) * 70) + 4**2. 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. $4**2 = 16$
3. $... | ((54 - log(24, 10)) * 70) + 4**2 | 3694.3852130801874 | mixed | 4 | 6 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((cos(60) * cbrt(64)) - 9) + 27. 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. $cbrt(64) = 3.99999999... | ((cos(60) * cbrt(64)) - 9) + 27 | -49 | mixed | 2 | 6 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: 48 + log(6, 2). This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $log(6, 2) = 2.584962500721156$
2. $48 + 2.584962500721156 = 50.584962500... | 48 + log(6, 2) | 50.584962500721154 | log | 2 | 2 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((53 / 79) + 65) + tan(225). 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. $53 / 79 = 0.670886075949... | ((53 / 79) + 65) + tan(225) | 66.67088607594937 | trig | 1 | 4 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: (90 * 46) + 12. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $90 * 46 = 4140$
2. $4140 + 12 = 4152$
The answer is $4152$
3. Drafting... | (90 * 46) + 12 | 4152 | arithmetic | 4 | 2 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: (cot(225) - 52) * 18. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $cot(225) = 1.0000000000000004$
2. $1.0000000000000004 - 52 = -51$
... | (cot(225) - 52) * 18 | -918 | trig | 4 | 3 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((57 / 43) * sqrt(25)) + 39. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $sqrt(25) = 5$
2. $57 / 43 = 1.3255813953488371$
3. $1.325... | ((57 / 43) * sqrt(25)) + 39 | 45.627906976744185 | power | 5 | 4 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((sqrt(16) - cbrt(8)) + 76) * 6**3. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $sqrt(16) = 4$
2. $cbrt(8) = 2$
3. $6**3 = 216$
4... | ((sqrt(16) - cbrt(8)) + 76) * 6**3 | 16848 | power | 5 | 6 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: 37 * log(45, 10). This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $log(45, 10) = 1.6532125137753435$
2. $37 * 1.6532125137753435 = 61.168... | 37 * log(45, 10) | 61.16886300968771 | log | 1 | 2 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: (sec(30) + cos(30)) - log(4, 5). This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $sec(30) = 1.1547005383792515$
2. $cos(30) = 0.866025403... | (sec(30) + cos(30)) - log(4, 5) | 1.159372826016904 | mixed | 3 | 5 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((log(21, 3) - 9) * csc(60)) + 24. 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. $csc(60) = 1.15470... | ((log(21, 3) - 9) * csc(60)) + 24 | 16.807651803723566 | mixed | 3 | 5 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((sqrt(25) - 70) - 20) + sin(60). This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $sqrt(25) = 5$
2. $sin(60) = 0.8660254037844386$
3. $... | ((sqrt(25) - 70) - 20) + sin(60) | -3954.2968060221315 | mixed | 1 | 6 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((sin(180) / 16) - csc(60)) * 62. 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. $csc(60) = 1.154... | ((sin(180) / 16) - csc(60)) * 62 | -1718.1944011083265 | trig | 3 | 6 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: tan(60) / cos(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. $cos(30) = 0.8660254037844387$
3. ... | tan(60) / cos(30) | 1.9999999999999993 | trig | 1 | 3 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((62 + sin(90)) + sqrt(4)) * tan(45). This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $sin(90) = 1$
2. $sqrt(4) = 2$
3. $tan(45) = 0.99... | ((62 + sin(90)) + sqrt(4)) * tan(45) | 64.99999999999999 | mixed | 2 | 6 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((68 * 47) / 4**3) * 61. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $4**3 = 64$
2. $68 * 47 = 3196$
3. $3196 / 64 = 49.9375$
4. ... | ((68 * 47) / 4**3) * 61 | 3046.1875 | power | 2 | 4 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((94 * 7) + 14) - 89. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $94 * 7 = 658$
2. $658 + 14 = 672$
3. $672 - 89 = 583$
The answ... | ((94 * 7) + 14) - 89 | 583 | arithmetic | 5 | 3 |
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