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: ((72 + log(49, 3)) - 9) / 65. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $log(49, 3) = 3.5424874983228443$
2. $72 + 3.54248749832284... | ((72 + log(49, 3)) - 9) / 65 | 62.44756519073374 | log | 1 | 5 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: (85 + tan(180)) - 13. 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. $85 + -1.2246467991473532e-... | (85 + tan(180)) - 13 | 72 | trig | 5 | 3 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((log(41, 3) / csc(30)) / 46) * sec(240). This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $log(41, 3) = 3.380238966019955$
2. $csc(30) = ... | ((log(41, 3) / csc(30)) / 46) * sec(240) | -95.07348345578305 | mixed | 4 | 7 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((22 + 46) - 4**4) * 59. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $4**4 = 256$
2. $22 + 46 = 68$
3. $68 - 256 = -188$
4. $-188... | ((22 + 46) - 4**4) * 59 | -116.7578947368421 | power | 4 | 5 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: 99 + cot(315). This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $cot(315) = -0.9999999999999996$
2. $99 + -0.9999999999999996 = 98$
The ... | 99 + cot(315) | 98 | trig | 2 | 2 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: 96 / 43. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $96 / 43 = 2.2325581395348837$
The answer is $2.2325581395348837$
3. Drafting th... | 96 / 43 | 2.2325581395348837 | arithmetic | 2 | 1 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: cot(45) / 40. 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. $1.0000000000000002 / 40 = 0.025000000000... | cot(45) / 40 | 0.025000000000000005 | trig | 5 | 2 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((16 / sqrt(16)) / 45) + 65. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $sqrt(16) = 4$
2. $16 / 4 = 4$
3. $4 / 45 = 0.088888888888... | ((16 / sqrt(16)) / 45) + 65 | 42.08888888888889 | power | 3 | 5 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: (log(2, 10) + 40) / log(15, 10). This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $log(2, 10) = 0.30102999566398114$
2. $log(15, 10) = 1.1... | (log(2, 10) + 40) / log(15, 10) | 34.26692417391392 | log | 1 | 4 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: sqrt(36) - 12. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $sqrt(36) = 6$
2. $6 - 12 = -6$
The answer is $-6$
3. Drafting the respo... | sqrt(36) - 12 | -6 | power | 3 | 2 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((39 / cbrt(27)) - tan(360)) - 54. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $cbrt(27) = 3$
2. $tan(360) = -2.4492935982947064e-16$... | ((39 / cbrt(27)) - tan(360)) - 54 | -40.13397459621556 | mixed | 3 | 7 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: (100 + 59) - 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. $100 + 59 = 159$
3. $159 - 2 = 157$
The answer... | (100 + 59) - cbrt(8) | 157 | power | 5 | 3 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: 28 / 5**4. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $5**4 = 625$
2. $28 / 625 = 0.0448$
The answer is $0.0448$
3. Drafting the r... | 28 / 5**4 | 0.0448 | power | 5 | 2 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: 65 * tan(45). 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. $65 * 0.9999999999999999 = 64.99999999999... | 65 * tan(45) | 64.99999999999999 | trig | 4 | 2 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((tan(360) / 69) * sqrt(81)) + 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. $sqrt(81) = 9$... | ((tan(360) / 69) * sqrt(81)) + 10 | 0.16666666666666666 | mixed | 1 | 6 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((100 * 11) - 3) * 57. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $100 * 11 = 1100$
2. $1100 - 3 = 1097$
3. $1097 * 57 = 62529$
... | ((100 * 11) - 3) * 57 | 62529 | arithmetic | 1 | 3 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((18 + 85) / 76) + 62. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $18 + 85 = 103$
2. $103 / 76 = 1.355263157894737$
3. $1.35526315... | ((18 + 85) / 76) + 62 | 63.35526315789474 | arithmetic | 1 | 3 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((59 * 38) / 7) - sqrt(36). This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $sqrt(36) = 6$
2. $59 * 38 = 2242$
3. $2242 / 7 = 320.28571... | ((59 * 38) / 7) - sqrt(36) | 396.2857142857143 | power | 2 | 5 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((53 - 2) * 34) - 16. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $53 - 2 = 51$
2. $51 * 34 = 1734$
3. $1734 - 16 = 1718$
4. $171... | ((53 - 2) * 34) - 16 | 1681 | arithmetic | 3 | 4 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: 58 + sec(45). This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $sec(45) = 1.414213562373095$
2. $58 + 1.414213562373095 = 59.4142135623730... | 58 + sec(45) | 59.41421356237309 | trig | 5 | 2 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: (98 * 42) * log(45, 5). This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $log(45, 5) = 2.3652123889719707$
2. $98 * 42 = 4116$
3. $4116 ... | (98 * 42) * log(45, 5) | 9735.21419300863 | log | 5 | 3 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((59 + 63) / cos(0)) + 20. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $cos(0) = 1$
2. $59 + 63 = 122$
3. $122 / 1 = 122$
4. $122... | ((59 + 63) / cos(0)) + 20 | 142 | trig | 5 | 4 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((cos(360) * 71) * sin(30)) - 6**4. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $cos(360) = 1$
2. $sin(30) = 0.49999999999999994$
3... | ((cos(360) * 71) * sin(30)) - 6**4 | -1260.5 | mixed | 4 | 6 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: (sqrt(16) * cos(360)) / cos(360). This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $sqrt(16) = 4$
2. $cos(360) = 1$
3. $cos(360) = 1$
... | (sqrt(16) * cos(360)) / cos(360) | 4 | mixed | 5 | 5 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: log(28, 2) - sqrt(16). This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $log(28, 2) = 4.807354922057604$
2. $sqrt(16) = 4$
3. $4.8073549... | log(28, 2) - sqrt(16) | 0.8073549220576037 | mixed | 5 | 3 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: cos(45) * tan(30). 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. $tan(30) = 0.5773502691896257$
3. ... | cos(45) * tan(30) | 0.408248290463863 | trig | 5 | 3 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: log(19, 5) * cbrt(8). This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $log(19, 5) = 1.8294828004351504$
2. $cbrt(8) = 2$
3. $1.82948280... | log(19, 5) * cbrt(8) | 3.658965600870301 | mixed | 4 | 3 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: 56 / 76. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $56 / 76 = 0.7368421052631579$
The answer is $0.7368421052631579$
3. Drafting th... | 56 / 76 | 0.7368421052631579 | arithmetic | 4 | 1 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((53 - 37) + tan(60)) + 3**2. 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. $3**2 = 9$
3. $53 - 37 ... | ((53 - 37) + tan(60)) + 3**2 | 855.425625842204 | mixed | 1 | 6 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((log(15, 10) - csc(45)) - 95) * csc(210). This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $log(15, 10) = 1.1760912590556811$
2. $csc(45)... | ((log(15, 10) - csc(45)) - 95) * csc(210) | 190.4762446066348 | mixed | 4 | 6 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: 28 + sqrt(49). This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $sqrt(49) = 7$
2. $28 + 7 = 35$
The answer is $35$
3. Drafting the respo... | 28 + sqrt(49) | 35 | power | 2 | 2 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((74 * tan(315)) - cos(30)) * sin(360). This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $tan(315) = -1.0000000000000004$
2. $cos(30) = 0.... | ((74 * tan(315)) - cos(30)) * sin(360) | 2.93390202802013e-17 | mixed | 3 | 8 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: (64 - cos(90)) + 7. 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. $64 - 6.123233995736766e-17 = 64... | (64 - cos(90)) + 7 | 71 | trig | 5 | 3 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: cos(30) / tan(225). 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. $tan(225) = 0.9999999999999997$
3... | cos(30) / tan(225) | 0.866025403784439 | trig | 5 | 3 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((35 / 5) + 79) * 25. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $35 / 5 = 7$
2. $7 + 79 = 86$
3. $86 * 25 = 2150$
The answer is... | ((35 / 5) + 79) * 25 | 2150 | arithmetic | 5 | 3 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: 22 + 70. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $22 + 70 = 92$
The answer is $92$
3. Drafting the response: "Ответ на ваш запрос... | 22 + 70 | 92 | arithmetic | 4 | 1 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((log(24, 2) - 6) * log(28, 5)) + sin(360). 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. $log(28, ... | ((log(24, 2) - 6) * log(28, 5)) + sin(360) | -5.626730464615186 | mixed | 5 | 8 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((73 - tan(315)) - cbrt(125)) * log(29, 2). 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(125... | ((73 - tan(315)) - cbrt(125)) * log(29, 2) | 335.2006886638025 | mixed | 5 | 6 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((17 * 8) + 39) / 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. $17 * 8 = 136$
3. $136 + 3... | ((17 * 8) + 39) / cos(45) | 169.48737341529161 | trig | 5 | 5 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((21 * cot(45)) * sin(90)) / 78. 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. $sin(90) = 1$
3. $21... | ((21 * cot(45)) * sin(90)) / 78 | 0.2692307692307693 | trig | 3 | 5 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: log(20, 5) - 97. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $log(20, 5) = 1.8613531161467862$
2. $1.8613531161467862 - 97 = -95.1386... | log(20, 5) - 97 | -95.13864688385321 | log | 1 | 2 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((75 + 45) + sin(90)) - 50. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $sin(90) = 1$
2. $75 + 45 = 120$
3. $120 + 1 = 121$
4. $1... | ((75 + 45) + sin(90)) - 50 | 71 | trig | 3 | 4 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((csc(45) * 76) + sqrt(81)) - 15. 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. $sqrt(81) = 9$
3. $1... | ((csc(45) * 76) + sqrt(81)) - 15 | 101.48023074035521 | mixed | 1 | 5 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: 39 - 59. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $39 - 59 = -20$
The answer is $-20$
3. Drafting the response: "Ответ на ваш запр... | 39 - 59 | -20 | arithmetic | 2 | 1 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((csc(150) - sqrt(4)) + tan(225)) * 85. 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. $sqrt(4) = 2$
... | ((csc(150) - sqrt(4)) + tan(225)) * 85 | 86 | mixed | 3 | 8 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((48 / sqrt(16)) + cos(30)) + 99. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $sqrt(16) = 4$
2. $cos(30) = 0.8660254037844387$
3. $... | ((48 / sqrt(16)) + cos(30)) + 99 | 111.86602540378443 | mixed | 5 | 5 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((33 * 25) + sec(30)) * sqrt(4). 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. $sqrt(4) = 2$
3. $33... | ((33 * 25) + sec(30)) * sqrt(4) | 1652.3094010767586 | mixed | 1 | 5 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((94 * log(5, 3)) + 13) / 37. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $log(5, 3) = 1.4649735207179269$
2. $94 * 1.464973520717926... | ((94 * log(5, 3)) + 13) / 37 | 0.05028612310560065 | log | 2 | 5 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((3**2 + sqrt(100)) / log(40, 3)) + sqrt(49). This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $3**2 = 9$
2. $sqrt(100) = 10$
3. $log(40... | ((3**2 + sqrt(100)) / log(40, 3)) + sqrt(49) | 25.31705914727859 | mixed | 4 | 9 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: sqrt(49) / sin(270). This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $sqrt(49) = 7$
2. $sin(270) = -1$
3. $7 / -1 = -7$
The answer is... | sqrt(49) / sin(270) | -7 | mixed | 1 | 3 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: 52 + 8. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $52 + 8 = 60$
The answer is $60$
3. Drafting the response: "Ответ на ваш запрос в... | 52 + 8 | 60 | arithmetic | 3 | 1 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: sin(180) + 83. 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. $1.2246467991473532e-16 + 83 = 83$
... | sin(180) + 83 | 83 | trig | 5 | 2 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: (79 * cot(225)) - log(50, 10). 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. $log(50, 10) = 1.698970... | (79 * cot(225)) - log(50, 10) | 77.30102999566401 | mixed | 3 | 4 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((85 * sec(45)) + 43) * 80. 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. $tan(30) = 0.577350269189625... | ((85 * sec(45)) + 43) * 80 | 13056.074873867858 | trig | 5 | 6 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((sqrt(36) * log(32, 10)) * 31) + sec(120). This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $sqrt(36) = 6$
2. $log(32, 10) = 1.5051499783... | ((sqrt(36) * log(32, 10)) * 31) + sec(120) | 277.95789596750245 | mixed | 5 | 6 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((sin(0) * sqrt(4)) + cos(180)) - sin(360). This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $sin(0) = 0$
2. $sqrt(4) = 2$
3. $cos(180) ... | ((sin(0) * sqrt(4)) + cos(180)) - sin(360) | -0.9999999999999998 | mixed | 4 | 9 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: 69 / csc(60). 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. $69 / 1.1547005383792517 = 59.75575286112... | 69 / csc(60) | 59.75575286112626 | trig | 5 | 2 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((77 + cot(270)) + log(46, 2)) - cos(0). This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $cot(270) = 1.83697019872103e-16$
2. $log(46, 2)... | ((77 + cot(270)) + log(46, 2)) - cos(0) | 81.52356195605701 | mixed | 5 | 8 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((47 - 14) + cbrt(216)) * 47. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $cbrt(216) = 5.999999999999999$
2. $log(26, 3) = 2.96564727... | ((47 - 14) + cbrt(216)) * 47 | 1835.9656472730442 | mixed | 1 | 6 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: 93 / 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. $93 / 2 = 46.5$
The answer is $46.5$
3. Drafting the res... | 93 / cbrt(8) | 46.5 | power | 4 | 2 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((77 / sec(240)) * 41) - cbrt(27). 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. $cbrt(27) = 3$
3... | ((77 / sec(240)) * 41) - cbrt(27) | -1581.5000000000014 | mixed | 4 | 5 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: (sin(60) * 41) / 82. 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. $0.8660254037844386 * 41 = 35.5070... | (sin(60) * 41) / 82 | 0.4330127018922193 | trig | 5 | 3 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: (log(6, 5) - tan(360)) - sin(360). 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. $tan(360) = -2.449... | (log(6, 5) - tan(360)) - sin(360) | 1.113282752559379 | mixed | 1 | 5 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((26 * tan(180)) + 18) / 47. 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. $26 * -1.22464679914... | ((26 * tan(180)) + 18) / 47 | 0.004614201486798256 | trig | 3 | 5 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: (cos(180) / 16) * 38. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $cos(180) = -1$
2. $-1 / 16 = -0.0625$
3. $-0.0625 * 38 = -2.375$... | (cos(180) / 16) * 38 | -2.375 | trig | 5 | 3 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((sin(180) + tan(180)) * 57) - tan(0). This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $sin(180) = 1.2246467991473532e-16$
2. $tan(180) =... | ((sin(180) + tan(180)) * 57) - tan(0) | 0 | trig | 1 | 7 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: (72 * 100) + 61. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $72 * 100 = 7200$
2. $7200 + 61 = 7261$
The answer is $7261$
3. Drafti... | (72 * 100) + 61 | 7261 | arithmetic | 1 | 2 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: (2 / csc(270)) - cos(180). This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $csc(270) = -1$
2. $cos(180) = -1$
3. $2 / -1 = -2$
4. $-2... | (2 / csc(270)) - cos(180) | -1 | trig | 5 | 4 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: 1 * 10. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $1 * 10 = 10$
The answer is $10$
3. Drafting the response: "Ответ на ваш запрос в... | 1 * 10 | 10 | arithmetic | 2 | 1 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((5 + 90) * sqrt(25)) * 13. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $sqrt(25) = 5$
2. $5 + 90 = 95$
3. $95 * 5 = 475$
4. $475... | ((5 + 90) * sqrt(25)) * 13 | 61750 | power | 1 | 5 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: (18 * 26) * 61. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $18 * 26 = 468$
2. $468 * 61 = 28548$
The answer is $28548$
3. Drafting... | (18 * 26) * 61 | 28548 | arithmetic | 1 | 2 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((43 - 48) / log(3, 3)) + 52. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $log(3, 3) = 1$
2. $43 - 48 = -5$
3. $-5 / 1 = -5$
4. $... | ((43 - 48) / log(3, 3)) + 52 | 47 | log | 4 | 4 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((2**3 - 43) - cbrt(27)) - sin(360). This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $2**3 = 8$
2. $cbrt(27) = 3$
3. $sin(360) = -2.449... | ((2**3 - 43) - cbrt(27)) - sin(360) | -0.5352112676056338 | mixed | 5 | 7 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((25 - 55) - log(13, 10)) - 75. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $log(13, 10) = 1.1139433523068367$
2. $25 - 55 = -30$
3... | ((25 - 55) - log(13, 10)) - 75 | -106.11394335230683 | log | 2 | 4 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((cos(30) + 39) - 44) / 23. 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. $2**4 = 16$
3. $0.8660254... | ((cos(30) + 39) - 44) / 23 | -16.179738025922415 | mixed | 2 | 6 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: (66 + 85) - 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. $66 + 85 = 151$
3. $151 - 0.7071... | (66 + 85) - cos(45) | 150.29289321881345 | trig | 4 | 3 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: (sqrt(4) + 4) / 6**2. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $sqrt(4) = 2$
2. $6**2 = 36$
3. $2 + 4 = 6$
4. $6 / 36 = 0.1666... | (sqrt(4) + 4) / 6**2 | 0.16666666666666666 | power | 5 | 4 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((20 * 20) / 37) - 38. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $20 * 20 = 400$
2. $400 / 37 = 10.81081081081081$
3. $10.8108108... | ((20 * 20) / 37) - 38 | -27.18918918918919 | arithmetic | 3 | 3 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: 29 - cos(60). This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $cos(60) = 0.5000000000000001$
2. $29 - 0.5000000000000001 = 28.5$
The an... | 29 - cos(60) | 28.5 | trig | 4 | 2 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: 29 - 61. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $29 - 61 = -32$
The answer is $-32$
3. Drafting the response: "Ответ на ваш запр... | 29 - 61 | -32 | arithmetic | 3 | 1 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: (5**4 - csc(150)) / 41. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $5**4 = 625$
2. $csc(150) = 2.0000000000000004$
3. $625 - 2.000... | (5**4 - csc(150)) / 41 | 15.195121951219512 | mixed | 3 | 4 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((sqrt(64) * 9) / 69) + cbrt(125). This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $sqrt(64) = 8$
2. $cbrt(125) = 4.999999999999999$
3.... | ((sqrt(64) * 9) / 69) + cbrt(125) | 6.0434782608695645 | power | 1 | 5 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: (3**4 * log(45, 5)) / 65. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $3**4 = 81$
2. $log(45, 5) = 2.3652123889719707$
3. $81 * 2.3... | (3**4 * log(45, 5)) / 65 | 2.947418515488148 | mixed | 2 | 4 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: (92 + 57) * 72. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $92 + 57 = 149$
2. $149 * 72 = 10728$
The answer is $10728$
3. Drafting... | (92 + 57) * 72 | 10728 | arithmetic | 1 | 2 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: 80 - 8. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $80 - 8 = 72$
The answer is $72$
3. Drafting the response: "Ответ на ваш запрос в... | 80 - 8 | 72 | arithmetic | 4 | 1 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: (sqrt(4) * 88) - csc(270). This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $sqrt(4) = 2$
2. $csc(270) = -1$
3. $2 * 88 = 176$
4. $176... | (sqrt(4) * 88) - csc(270) | 177 | mixed | 1 | 4 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: (4**4 * 76) * 5**4. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $4**4 = 256$
2. $5**4 = 625$
3. $256 * 76 = 19456$
4. $19456 * 62... | (4**4 * 76) * 5**4 | 12160000 | power | 3 | 4 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: (15 * 67) / 51. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $15 * 67 = 1005$
2. $1005 / 51 = 19.705882352941178$
The answer is $19.... | (15 * 67) / 51 | 19.705882352941178 | arithmetic | 3 | 2 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: (18 - 21) - log(23, 2). This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $log(23, 2) = 4.523561956057013$
2. $18 - 21 = -3$
3. $-3 - 4.5... | (18 - 21) - log(23, 2) | -7.523561956057013 | log | 1 | 3 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((83 * log(41, 3)) * tan(0)) / 27. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $log(41, 3) = 3.380238966019955$
2. $tan(0) = 0$
3. ... | ((83 * log(41, 3)) * tan(0)) / 27 | 0 | mixed | 4 | 6 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((67 * 55) * 35) / 83. 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. $67 * 55 = 3685$
3. $3685 * 35... | ((67 * 55) * 35) / 83 | 1554.493012919792 | trig | 2 | 5 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((34 * 2) / 79) - 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. $34 * 2 = 68$
3. $68 / 79 = 0.860759493670886... | ((34 * 2) / 79) - cos(0) | -0.1392405063291139 | trig | 3 | 4 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((31 - sec(180)) / 25) * cos(0). This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $sec(180) = -1$
2. $cos(0) = 1$
3. $log(31, 5) = 2.133... | ((31 - sec(180)) / 25) * cos(0) | 2.7310799551709732 | mixed | 3 | 7 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((sqrt(25) - log(49, 10)) + 53) / sin(270). This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $sqrt(25) = 5$
2. $log(49, 10) = 1.6901960800... | ((sqrt(25) - log(49, 10)) + 53) / sin(270) | -2.6814192342843564 | mixed | 3 | 7 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: (sqrt(25) + 66) / 4**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. $4**3 = 64$
3. $5 + 66 = 71$
4. $71 / 64 = ... | (sqrt(25) + 66) / 4**3 | 1.109375 | power | 5 | 4 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: (99 - 72) * log(11, 10). 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. $99 - 72 = 27$
3. $27 * 1... | (99 - 72) * log(11, 10) | 28.117602499272074 | log | 3 | 3 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: cbrt(216) * 33. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $cbrt(216) = 5.999999999999999$
2. $5.999999999999999 * 33 = 197.99999999... | cbrt(216) * 33 | 197.99999999999997 | power | 3 | 2 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: 73 - 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. $73 - -2.4492935982947064e-16 = 73... | 73 - sin(360) | 73 | trig | 4 | 2 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: (22 - sqrt(81)) * 42. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $sqrt(81) = 9$
2. $22 - 9 = 13$
3. $13 * 42 = 546$
The answer i... | (22 - sqrt(81)) * 42 | 546 | power | 5 | 3 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: 92 - log(6, 3). This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $log(6, 3) = 1.6309297535714573$
2. $92 - 1.6309297535714573 = 90.3690702... | 92 - log(6, 3) | 90.36907024642855 | log | 5 | 2 |
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