text stringlengths 423 1.55k | input stringlengths 5 55 | output stringlengths 1 23 | topic stringclasses 5
values | difficulty int32 1 5 | steps int32 1 9 |
|---|---|---|---|---|---|
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((cos(45) - cos(45)) / 60) * 16. 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. $cos(45) = 0.707106781... | ((cos(45) - cos(45)) / 60) * 16 | 0 | trig | 2 | 5 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((sin(0) * 46) / 3**3) * cbrt(125). This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $sin(0) = 0$
2. $3**3 = 27$
3. $cbrt(125) = 4.99999... | ((sin(0) * 46) / 3**3) * cbrt(125) | -1.414213562373095 | mixed | 2 | 8 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: (cos(90) - 33) * 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 - 33 = -... | (cos(90) - 33) * 11 | -363 | trig | 5 | 3 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: sin(360) / 5. 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. $-2.4492935982947064e-16 / 5 = -4.8... | sin(360) / 5 | -4.898587196589413e-17 | trig | 5 | 2 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: cbrt(125) * 11. 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 * 11 = 54.999999999... | cbrt(125) * 11 | 54.99999999999999 | power | 4 | 2 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: (78 * 49) - 73. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $78 * 49 = 3822$
2. $3822 - 73 = 3749$
The answer is $3749$
3. Drafting... | (78 * 49) - 73 | 3749 | arithmetic | 1 | 2 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: tan(135) * cot(30). 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. $cot(30) = 1.7320508075688774$
... | tan(135) * cot(30) | -1.7320508075688779 | trig | 3 | 3 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((log(24, 3) - 34) * sqrt(49)) / csc(150). This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $log(24, 3) = 2.8927892607143724$
2. $sqrt(49)... | ((log(24, 3) - 34) * sqrt(49)) / csc(150) | -114.87523758749967 | mixed | 2 | 8 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((tan(360) + log(14, 2)) / sqrt(49)) / 44. 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(1... | ((tan(360) + log(14, 2)) / sqrt(49)) / 44 | 0.44501551037036924 | mixed | 1 | 7 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: 46 - 78. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $46 - 78 = -32$
The answer is $-32$
3. Drafting the response: "Ответ на ваш запр... | 46 - 78 | -32 | arithmetic | 5 | 1 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: (log(11, 10) + 3**2) * 1. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $log(11, 10) = 1.041392685158225$
2. $3**2 = 9$
3. $1.0413926... | (log(11, 10) + 3**2) * 1 | 10.041392685158225 | mixed | 4 | 4 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((sin(30) * 74) / 72) / tan(315). 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. $tan(315) = -1.00000... | ((sin(30) * 74) / 72) / tan(315) | -0.5138888888888886 | trig | 1 | 5 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: (cos(30) * 54) - 43. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $cos(30) = 0.8660254037844387$
2. $0.8660254037844387 * 54 = 46.7653... | (cos(30) * 54) - 43 | 3.765371804359688 | trig | 1 | 3 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((sec(60) * sec(360)) * 2**4) - 4**2. 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. $sec(360) = 1$
... | ((sec(60) * sec(360)) * 2**4) - 4**2 | 735.9999999999997 | mixed | 5 | 8 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: 92 + 33. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $92 + 33 = 125$
The answer is $125$
3. Drafting the response: "Ответ на ваш запр... | 92 + 33 | 125 | arithmetic | 3 | 1 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((48 + log(39, 3)) + cos(270)) / 65. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $log(39, 3) = 3.3347175194727923$
2. $cos(270) = -1.... | ((48 + log(39, 3)) + cos(270)) / 65 | 0.789764884914966 | mixed | 3 | 5 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: (sqrt(100) - sqrt(25)) * log(42, 10). This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $sqrt(100) = 10$
2. $sqrt(25) = 5$
3. $log(42, 10... | (sqrt(100) - sqrt(25)) * log(42, 10) | 8.116246451989502 | mixed | 5 | 5 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((53 + 10) + cos(90)) * log(16, 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. $log(16, 5) = 1.... | ((53 + 10) + cos(90)) * log(16, 5) | 217.0609852689901 | mixed | 5 | 6 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: (64 / csc(270)) * 94. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $csc(270) = -1$
2. $64 / -1 = -64$
3. $-64 * 94 = -6016$
The an... | (64 / csc(270)) * 94 | -6016 | trig | 5 | 3 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((58 / 3) * log(44, 3)) * 56. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $log(44, 3) = 3.4445178457870527$
2. $58 / 3 = 19.333333333... | ((58 / 3) * log(44, 3)) * 56 | 3729.2646543721153 | log | 2 | 4 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((98 * 98) + 81) * sin(45). 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. $98 * 98 = 9604$
3. $9604... | ((98 * 98) + 81) * sin(45) | 6848.329175791713 | trig | 4 | 4 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((5**3 - cos(360)) - cos(360)) * log(8, 2). This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $5**3 = 125$
2. $cos(360) = 1$
3. $cos(360)... | ((5**3 - cos(360)) - cos(360)) * log(8, 2) | 369 | mixed | 1 | 7 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((26 / 90) + 34) - 60. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $26 / 90 = 0.28888888888888886$
2. $0.28888888888888886 + 34 = 34.... | ((26 / 90) + 34) - 60 | -25.71111111111111 | arithmetic | 3 | 3 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((cos(360) / 96) - 43) / 39. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $cos(360) = 1$
2. $1 / 96 = 0.010416666666666666$
3. $0.01... | ((cos(360) / 96) - 43) / 39 | -79.36538461538461 | trig | 2 | 5 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: 31 * 74. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $31 * 74 = 2294$
The answer is $2294$
3. Drafting the response: "Ответ на ваш за... | 31 * 74 | 2294 | arithmetic | 2 | 1 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((6 - sqrt(4)) * sqrt(100)) / 26. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $sqrt(4) = 2$
2. $sqrt(100) = 10$
3. $6 - 2 = 4$
4.... | ((6 - sqrt(4)) * sqrt(100)) / 26 | 0.10256410256410257 | power | 1 | 6 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((cbrt(27) * tan(45)) + cos(30)) * 2**2. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $cbrt(27) = 3$
2. $tan(45) = 0.9999999999999999$... | ((cbrt(27) * tan(45)) + cos(30)) * 2**2 | 15.464101615137753 | mixed | 3 | 7 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((cbrt(64) * 58) + 39) / 75. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $cbrt(64) = 3.9999999999999996$
2. $sin(360) = -2.4492935982... | ((cbrt(64) * 58) + 39) / 75 | -8.850114201838206e-16 | mixed | 1 | 6 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((77 / log(37, 3)) + log(20, 5)) * 33. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $log(37, 3) = 3.2867991282182727$
2. $log(20, 5) =... | ((77 / log(37, 3)) + log(20, 5)) * 33 | 749.5172273636886 | log | 5 | 6 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((cos(270) * cot(315)) / 75) - 70. 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. $cot(315) = -0... | ((cos(270) * cot(315)) / 75) - 70 | -72 | mixed | 4 | 7 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((72 * sqrt(25)) + sin(30)) + 71. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $sqrt(25) = 5$
2. $sin(30) = 0.49999999999999994$
3. ... | ((72 * sqrt(25)) + sin(30)) + 71 | 489.5 | mixed | 2 | 6 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: sqrt(16) - 49. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $sqrt(16) = 4$
2. $4 - 49 = -45$
The answer is $-45$
3. Drafting the res... | sqrt(16) - 49 | -45 | power | 3 | 2 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((35 + 31) + cbrt(8)) / 1. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $cbrt(8) = 2$
2. $35 + 31 = 66$
3. $66 + 2 = 68$
4. $68 / ... | ((35 + 31) + cbrt(8)) / 1 | 68 | power | 1 | 4 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: (sqrt(16) + sqrt(81)) * 43. 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. $4 + 9 = 13$
4. $13 *... | (sqrt(16) + sqrt(81)) * 43 | 559 | power | 4 | 4 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((tan(225) / 44) * 80) * 91. 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 / 44 ... | ((tan(225) / 44) * 80) * 91 | 165.4545454545454 | trig | 1 | 4 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: 11 * sin(360). 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. $11 * -2.4492935982947064e-16 = -2... | 11 * sin(360) | -2.6942229581241772e-15 | trig | 3 | 2 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((69 * cot(30)) * sin(60)) / 48. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $cot(30) = 1.7320508075688774$
2. $sin(60) = 0.866025403... | ((69 * cot(30)) * sin(60)) / 48 | 2.15625 | trig | 3 | 5 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: (38 + 65) * 65. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $38 + 65 = 103$
2. $103 * 65 = 6695$
The answer is $6695$
3. Drafting t... | (38 + 65) * 65 | 6695 | arithmetic | 2 | 2 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((sin(45) - 100) * tan(315)) + 49. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $sin(45) = 0.7071067811865476$
2. $tan(315) = -1.00000... | ((sin(45) - 100) * tan(315)) + 49 | 741.4644660940673 | mixed | 3 | 7 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((log(17, 2) * 50) + 9) + 98. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $log(17, 2) = 4.08746284125034$
2. $4.08746284125034 * 50 =... | ((log(17, 2) * 50) + 9) + 98 | 44.481877437502426 | log | 5 | 5 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: (88 + 38) * sec(180). This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $sec(180) = -1$
2. $88 + 38 = 126$
3. $126 * -1 = -126$
The ans... | (88 + 38) * sec(180) | -126 | trig | 1 | 3 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: (sqrt(100) / 78) + sin(30). This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $sqrt(100) = 10$
2. $sin(30) = 0.49999999999999994$
3. $10 ... | (sqrt(100) / 78) + sin(30) | 0.6282051282051282 | mixed | 1 | 4 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((6**4 * cbrt(8)) - csc(150)) - 79. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $6**4 = 1296$
2. $cbrt(8) = 2$
3. $csc(150) = 2.000... | ((6**4 * cbrt(8)) - csc(150)) - 79 | 2526 | mixed | 5 | 7 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: (51 + 20) / 65. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $51 + 20 = 71$
2. $71 / 65 = 1.0923076923076922$
The answer is $1.09230... | (51 + 20) / 65 | 1.0923076923076922 | arithmetic | 1 | 2 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: 51 * cos(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. $51 * 6.123233995736766e-17 = 3.122849... | 51 * cos(90) | 3.1228493378257506e-15 | trig | 1 | 2 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((34 + 32) / 82) * 99. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $34 + 32 = 66$
2. $66 / 82 = 0.8048780487804879$
3. $0.804878048... | ((34 + 32) / 82) * 99 | 79.6829268292683 | arithmetic | 1 | 3 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((46 + 62) + 35) * sin(270). This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $sin(270) = -1$
2. $46 + 62 = 108$
3. $108 + 35 = 143$
4... | ((46 + 62) + 35) * sin(270) | -143 | trig | 5 | 4 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: cbrt(27) * sqrt(100). This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $cbrt(27) = 3$
2. $sqrt(100) = 10$
3. $3 * 10 = 30$
The answer ... | cbrt(27) * sqrt(100) | 30 | power | 1 | 3 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: 98 - tan(60). 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. $98 - 1.7320508075688767 = 96.26794919243... | 98 - tan(60) | 96.26794919243112 | trig | 3 | 2 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((46 - 47) + 74) / log(36, 5). This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $log(36, 5) = 2.226565505118757$
2. $46 - 47 = -1$
3. $-... | ((46 - 47) + 74) / log(36, 5) | 2262.2285256913406 | log | 1 | 5 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((84 - 46) - 76) + 43. 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. $84 - 46 = 38$
3. $38 - 76 = -... | ((84 - 46) - 76) + 43 | 5.866025403784438 | trig | 3 | 5 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((49 * 28) * 88) + 16. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $49 * 28 = 1372$
2. $1372 * 88 = 120736$
3. $120736 + 16 = 12075... | ((49 * 28) * 88) + 16 | 6355.368421052632 | arithmetic | 2 | 4 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: (20 * 2**4) - 69. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $2**4 = 16$
2. $20 * 16 = 320$
3. $320 - 69 = 251$
The answer is $2... | (20 * 2**4) - 69 | 251 | power | 2 | 3 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: (sin(270) / 1) + 5. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $sin(270) = -1$
2. $-1 / 1 = -1$
3. $-1 + 5 = 4$
The answer is $4... | (sin(270) / 1) + 5 | 4 | trig | 5 | 3 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: 48 * 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. $48 * 1 = 48$
The answer is $48$
3. Drafting the response:... | 48 * cos(0) | 48 | trig | 4 | 2 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((csc(45) / 73) * sin(30)) / 4. 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. $sin(30) = 0.49999999999... | ((csc(45) / 73) * sin(30)) / 4 | 1.4828014661566663e-19 | trig | 1 | 7 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((cos(45) - cos(180)) + csc(45)) / 100. 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. $cos(180) = -1$... | ((cos(45) - cos(180)) + csc(45)) / 100 | 0.031213203435596425 | trig | 2 | 6 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((24 * 78) - tan(360)) + 68. 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. $24 * 78 = 1872$
3... | ((24 * 78) - tan(360)) + 68 | 1940 | trig | 1 | 4 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: 10 * 65. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $10 * 65 = 650$
The answer is $650$
3. Drafting the response: "Ответ на ваш запр... | 10 * 65 | 650 | arithmetic | 1 | 1 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((tan(315) / cbrt(8)) * 75) * 17. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $tan(315) = -1.0000000000000004$
2. $cbrt(8) = 2$
3. ... | ((tan(315) / cbrt(8)) * 75) * 17 | -637.5000000000002 | mixed | 4 | 5 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: (log(47, 10) + sin(30)) * 74. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $log(47, 10) = 1.6720978579357173$
2. $sin(30) = 0.49999999... | (log(47, 10) + sin(30)) * 74 | 160.73524148724306 | mixed | 1 | 4 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((cot(135) + 50) + 90) - sin(360). 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. $sin(360) = -2.449... | ((cot(135) + 50) + 90) - sin(360) | 139 | trig | 5 | 5 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: 32 * 21. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $32 * 21 = 672$
The answer is $672$
3. Drafting the response: "Ответ на ваш запр... | 32 * 21 | 672 | arithmetic | 4 | 1 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: (tan(45) + cbrt(8)) * 9. 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. $cbrt(8) = 2$
3. $0.99999999... | (tan(45) + cbrt(8)) * 9 | 27 | mixed | 5 | 4 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((71 / cbrt(64)) - 98) - 6**2. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $cbrt(64) = 3.9999999999999996$
2. $6**2 = 36$
3. $71 / ... | ((71 / cbrt(64)) - 98) - 6**2 | -116.25 | power | 4 | 5 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((tan(135) - 42) - 55) / 64. 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. $sqrt(49) = 7$
3. $-1.... | ((tan(135) - 42) - 55) / 64 | -10.71875 | mixed | 4 | 6 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: sec(360) - 98. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $sec(360) = 1$
2. $1 - 98 = -97$
The answer is $-97$
3. Drafting the res... | sec(360) - 98 | -97 | trig | 2 | 2 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: sin(180) * 21. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $sin(180) = 1.2246467991473532e-16$
2. $1.2246467991473532e-16 * 21 = 2.57... | sin(180) * 21 | 2.5717582782094417e-15 | trig | 3 | 2 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: 36 / 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. $36 / 0.7071067811865476 = 50.91168824543... | 36 / cos(45) | 50.91168824543142 | trig | 2 | 2 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((sqrt(49) - 60) + 21) / sqrt(9). This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $sqrt(49) = 7$
2. $sqrt(9) = 3$
3. $7 - 60 = -53$
4... | ((sqrt(49) - 60) + 21) / sqrt(9) | -10.666666666666666 | power | 4 | 5 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: 16 + cos(30). 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. $16 + 0.8660254037844387 = 16.86602540378... | 16 + cos(30) | 16.866025403784437 | trig | 1 | 2 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: (cos(45) * 14) * 28. 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 * 14 = 9.89949... | (cos(45) * 14) * 28 | 277.18585822512665 | trig | 5 | 3 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: (97 / 62) / 32. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $97 / 62 = 1.564516129032258$
2. $1.564516129032258 / 32 = 0.048891129032... | (97 / 62) / 32 | 0.04889112903225806 | arithmetic | 2 | 2 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((29 * 6**3) * sqrt(81)) / 40. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $6**3 = 216$
2. $sqrt(81) = 9$
3. $29 * 216 = 6264$
4.... | ((29 * 6**3) * sqrt(81)) / 40 | 1409.4 | power | 4 | 5 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((90 / 5**4) - 34) * cbrt(125). This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $5**4 = 625$
2. $cbrt(125) = 4.999999999999999$
3. $90 ... | ((90 / 5**4) - 34) * cbrt(125) | -79.27999999999997 | power | 1 | 6 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: (14 - 86) * 49. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $14 - 86 = -72$
2. $-72 * 49 = -3528$
The answer is $-3528$
3. Drafting... | (14 - 86) * 49 | -3528 | arithmetic | 2 | 2 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: (8 - sin(60)) / 64. 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. $8 - 0.8660254037844386 = 7.1339745... | (8 - sin(60)) / 64 | 0.11146835306586815 | trig | 4 | 3 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: (cos(360) - 4**3) + 8. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $cos(360) = 1$
2. $4**3 = 64$
3. $1 - 64 = -63$
4. $-63 + 8 = ... | (cos(360) - 4**3) + 8 | -55 | mixed | 3 | 4 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: log(15, 2) + 75. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $log(15, 2) = 3.9068905956085187$
2. $3.9068905956085187 + 75 = 78.90689... | log(15, 2) + 75 | 78.90689059560852 | log | 4 | 2 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((24 + cos(180)) / sqrt(81)) * 31. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $cos(180) = -1$
2. $sqrt(81) = 9$
3. $24 + -1 = 23$
... | ((24 + cos(180)) / sqrt(81)) * 31 | 1.0028129395218002 | mixed | 2 | 6 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: (log(49, 2) / 79) * log(14, 3). This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $log(49, 2) = 5.614709844115208$
2. $log(14, 3) = 2.40217... | (log(49, 2) / 79) * log(14, 3) | 0.1707279394059115 | log | 4 | 4 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: 84 * log(8, 3). This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $log(8, 3) = 1.892789260714372$
2. $84 * 1.892789260714372 = 158.99429790... | 84 * log(8, 3) | 158.99429790000724 | log | 5 | 2 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((sin(90) * 28) * 73) * 12. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $sin(90) = 1$
2. $1 * 28 = 28$
3. $28 * 73 = 2044$
4. $20... | ((sin(90) * 28) * 73) * 12 | 24528 | trig | 2 | 4 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: (cos(180) * 70) / 63. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $cos(180) = -1$
2. $-1 * 70 = -70$
3. $-70 / 63 = -1.111111111111... | (cos(180) * 70) / 63 | -1.1111111111111112 | trig | 1 | 3 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((45 / 58) * 81) - 72. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $45 / 58 = 0.7758620689655172$
2. $0.7758620689655172 * 81 = 62.84... | ((45 / 58) * 81) - 72 | -631.7068965517241 | arithmetic | 3 | 4 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((4 + log(43, 2)) - 41) + cbrt(216). This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $log(43, 2) = 5.426264754702098$
2. $cbrt(216) = 5.9... | ((4 + log(43, 2)) - 41) + cbrt(216) | -25.573735245297904 | mixed | 1 | 5 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: (sqrt(25) - 12) - 3**3. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $sqrt(25) = 5$
2. $3**3 = 27$
3. $5 - 12 = -7$
4. $-7 - 27 = ... | (sqrt(25) - 12) - 3**3 | -34 | power | 4 | 4 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((84 + tan(60)) - log(3, 2)) / 9. 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. $log(3, 2) = 1.584962... | ((84 + tan(60)) - log(3, 2)) / 9 | 9.349676478538635 | mixed | 2 | 5 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: (27 + log(3, 10)) - 42. 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. $27 + 0.47712125471966244 =... | (27 + log(3, 10)) - 42 | -14.522878745280337 | log | 4 | 3 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((csc(90) - cos(90)) * sqrt(49)) + 50. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $csc(90) = 1$
2. $cos(90) = 6.123233995736766e-17$... | ((csc(90) - cos(90)) * sqrt(49)) + 50 | 56 | mixed | 4 | 8 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((sec(60) / sqrt(100)) / 46) * 95. 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. $sqrt(100) = 10$
3... | ((sec(60) / sqrt(100)) / 46) * 95 | 0.4130434782608695 | mixed | 3 | 5 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: (sin(360) * 98) * sec(45). 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. $sec(45) = 1.414213562... | (sin(360) * 98) * sec(45) | -3.394547740443134e-14 | trig | 2 | 4 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: (5**3 * 16) - 24. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $5**3 = 125$
2. $125 * 16 = 2000$
3. $2000 - 24 = 1976$
The answer ... | (5**3 * 16) - 24 | 1976 | power | 1 | 3 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: 77 + 2. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $77 + 2 = 79$
The answer is $79$
3. Drafting the response: "Ответ на ваш запрос в... | 77 + 2 | 79 | arithmetic | 3 | 1 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: (71 / 53) / 14. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $71 / 53 = 1.3396226415094339$
2. $1.3396226415094339 / 14 = 0.0956873315... | (71 / 53) / 14 | 0.09568733153638813 | arithmetic | 5 | 2 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: (88 / 2**2) - cos(180). This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $2**2 = 4$
2. $cos(180) = -1$
3. $88 / 4 = 22$
4. $22 - -1 = ... | (88 / 2**2) - cos(180) | 23 | mixed | 1 | 4 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((6 + 77) / sqrt(81)) / 87. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $sqrt(81) = 9$
2. $6 + 77 = 83$
3. $83 / 9 = 9.222222222222... | ((6 + 77) / sqrt(81)) / 87 | 0.10600255427841634 | power | 5 | 4 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: cos(270) - 87. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $cos(270) = -1.8369701987210297e-16$
2. $-1.8369701987210297e-16 - 87 = -8... | cos(270) - 87 | -87 | trig | 3 | 2 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((64 - 16) / 58) + 91. 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. $64 - 16 = 48$
3. $48 / 58 = ... | ((64 - 16) / 58) + 91 | 18.365517241379315 | power | 4 | 5 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((sqrt(64) - 29) / 55) - sqrt(100). This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $sqrt(64) = 8$
2. $sqrt(100) = 10$
3. $8 - 29 = -21... | ((sqrt(64) - 29) / 55) - sqrt(100) | -10.381818181818183 | power | 5 | 5 |
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