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: ((22 * 39) - sin(45)) + cos(270). 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. $cos(270) = -1.836970... | ((22 * 39) - sin(45)) + cos(270) | 819.2928932188134 | trig | 3 | 6 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((8 - 97) / 45) * 72. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $8 - 97 = -89$
2. $-89 / 45 = -1.9777777777777779$
3. $-1.9777777... | ((8 - 97) / 45) * 72 | -142.4 | arithmetic | 4 | 3 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((log(25, 3) - 78) * 1) / 56. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $log(25, 3) = 2.9299470414358537$
2. $2.9299470414358537 - ... | ((log(25, 3) - 78) * 1) / 56 | -1.3405366599743598 | log | 4 | 4 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((cos(30) * 19) / 58) + 31. 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 * 19 = ... | ((cos(30) * 19) / 58) + 31 | 21.2836979771018 | trig | 4 | 5 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((cbrt(64) + log(8, 5)) - log(39, 2)) + 25. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $cbrt(64) = 3.9999999999999996$
2. $log(8, 5)... | ((cbrt(64) + log(8, 5)) - log(39, 2)) + 25 | 25.00662745535793 | mixed | 5 | 6 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((35 + log(7, 2)) * 85) * cbrt(64). This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $log(7, 2) = 2.807354922057604$
2. $cbrt(64) = 3.9999... | ((35 + log(7, 2)) * 85) * cbrt(64) | 12847.500673499584 | mixed | 3 | 7 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((cos(0) - 82) - cbrt(8)) + 45. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $cos(0) = 1$
2. $cbrt(8) = 2$
3. $1 - 82 = -81$
4. $-... | ((cos(0) - 82) - cbrt(8)) + 45 | -38 | mixed | 1 | 5 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: (14 / 5) / cos(180). This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $cos(180) = -1$
2. $14 / 5 = 2.8$
3. $2.8 / -1 = -2.8$
The answe... | (14 / 5) / cos(180) | -2.8 | trig | 5 | 3 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((log(30, 5) * sec(30)) - 85) + cos(0). This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $log(30, 5) = 2.1132827525593787$
2. $sec(30) = 1... | ((log(30, 5) * sec(30)) - 85) + cos(0) | -81.5597912678721 | mixed | 2 | 6 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: (45 + 87) / 82. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $45 + 87 = 132$
2. $132 / 82 = 1.6097560975609757$
The answer is $1.609... | (45 + 87) / 82 | 1.6097560975609757 | arithmetic | 4 | 2 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: (sqrt(36) - 52) + 57. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $sqrt(36) = 6$
2. $6 - 52 = -46$
3. $-46 + 57 = 11$
The answer ... | (sqrt(36) - 52) + 57 | 11 | power | 2 | 3 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: (sin(270) - sqrt(81)) / 83. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $sin(270) = -1$
2. $sqrt(81) = 9$
3. $-1 - 9 = -10$
4. $-... | (sin(270) - sqrt(81)) / 83 | -0.12048192771084337 | mixed | 1 | 4 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((33 + 16) * 45) + 28. 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. $33 + 16 = 49$
3. $49 * 45 = 2... | ((33 + 16) * 45) + 28 | 2232.2928932188133 | trig | 1 | 5 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((95 * cos(0)) / 33) * 46. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $cos(0) = 1$
2. $95 * 1 = 95$
3. $95 / 33 = 2.87878787878787... | ((95 * cos(0)) / 33) * 46 | 132.42424242424244 | trig | 1 | 4 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: cos(270) / 86. 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 / 86 = -2... | cos(270) / 86 | -2.1360118589779413e-18 | trig | 1 | 2 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((30 / 43) / 81) / 62. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $sec(0) = 1$
2. $30 / 43 = 0.6976744186046512$
3. $0.69767441860... | ((30 / 43) / 81) / 62 | -0.9998610763802062 | trig | 1 | 5 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((tan(225) * 86) * 72) / 35. 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 * 86 ... | ((tan(225) * 86) * 72) / 35 | 91.91428571428565 | trig | 4 | 5 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((100 - 10) - cos(270)) / 98. 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. $sqrt(49) = 7$
3.... | ((100 - 10) - cos(270)) / 98 | 6.428571428571429 | mixed | 3 | 6 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((69 + 5**4) + cos(30)) + csc(150). This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $5**4 = 625$
2. $cos(30) = 0.8660254037844387$
3. $... | ((69 + 5**4) + cos(30)) + csc(150) | 696.8660254037844 | mixed | 5 | 6 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: sin(90) * log(24, 5). This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $sin(90) = 1$
2. $log(24, 5) = 1.9746358687061647$
3. $1 * 1.9746... | sin(90) * log(24, 5) | 1.9746358687061647 | mixed | 2 | 3 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((77 * 12) * 97) / 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. $77 * 12 = 924$
3. $924 *... | ((77 * 12) * 97) / cos(30) | 9210921.486993143 | trig | 2 | 5 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: sin(360) / 63. 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 / 63 = -3... | sin(360) / 63 | -3.887767616340804e-18 | trig | 2 | 2 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: (7 + 96) / 58. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $7 + 96 = 103$
2. $103 / 58 = 1.7758620689655173$
The answer is $1.77586... | (7 + 96) / 58 | 1.7758620689655173 | arithmetic | 1 | 2 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: (53 * 6) / 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. $53 * 6 = 318$
3. $318 / -1 = -318$
The answe... | (53 * 6) / sin(270) | -318 | trig | 3 | 3 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((72 - sin(30)) + 99) / 33. 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. $72 - 0.49999999999999994 ... | ((72 - sin(30)) + 99) / 33 | 0.0549645390070922 | trig | 2 | 5 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: cos(90) + sec(45). This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $cos(90) = 6.123233995736766e-17$
2. $sec(45) = 1.414213562373095$
3... | cos(90) + sec(45) | 1.414213562373095 | trig | 2 | 3 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((59 / 39) - sqrt(49)) / csc(60). This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $sqrt(49) = 7$
2. $csc(60) = 1.1547005383792517$
3. $... | ((59 / 39) - sqrt(49)) / csc(60) | -26.752036831022302 | mixed | 2 | 6 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: (2**3 - 51) / tan(135). This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $2**3 = 8$
2. $tan(135) = -1.0000000000000002$
3. $8 - 51 = -43... | (2**3 - 51) / tan(135) | 42.99999999999999 | mixed | 2 | 4 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: (84 + 2**2) * 47. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $2**2 = 4$
2. $84 + 4 = 88$
3. $88 * 47 = 4136$
The answer is $4136... | (84 + 2**2) * 47 | 4136 | power | 3 | 3 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: 47 / 78. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $47 / 78 = 0.6025641025641025$
The answer is $0.6025641025641025$
3. Drafting th... | 47 / 78 | 0.6025641025641025 | arithmetic | 3 | 1 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: 29 - 100. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $29 - 100 = -71$
The answer is $-71$
3. Drafting the response: "Ответ на ваш за... | 29 - 100 | -71 | arithmetic | 2 | 1 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((cbrt(64) + 92) - 78) / 41. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $cbrt(64) = 3.9999999999999996$
2. $3.9999999999999996 + 92 ... | ((cbrt(64) + 92) - 78) / 41 | -29.5609756097561 | power | 3 | 5 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: (87 + csc(60)) + sqrt(16). 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. $sqrt(16) = 4$
3. $87 + 1.... | (87 + csc(60)) + sqrt(16) | 92.15470053837925 | mixed | 5 | 4 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((77 + 89) + 12) / 52. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $77 + 89 = 166$
2. $166 + 12 = 178$
3. $178 / 52 = 3.42307692307... | ((77 + 89) + 12) / 52 | -78.57692307692308 | arithmetic | 1 | 4 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: (log(44, 10) * 2**2) * 72. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $log(44, 10) = 1.6434526764861872$
2. $2**2 = 4$
3. $1.64345... | (log(44, 10) * 2**2) * 72 | 473.31437082802194 | mixed | 2 | 4 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((cos(270) + cot(225)) + log(18, 3)) * tan(225). 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. ... | ((cos(270) + cot(225)) + log(18, 3)) * tan(225) | 3.6309297535714555 | mixed | 3 | 7 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((22 - 66) - 80) / 16. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $22 - 66 = -44$
2. $-44 - 80 = -124$
3. $-124 / 16 = -7.75$
Th... | ((22 - 66) - 80) / 16 | -7.75 | arithmetic | 4 | 3 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((9 * log(25, 10)) + sqrt(16)) + 81. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $log(25, 10) = 1.3979400086720375$
2. $sqrt(16) = 4$... | ((9 * log(25, 10)) + sqrt(16)) + 81 | 121.58146007804834 | mixed | 3 | 6 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((csc(45) - tan(315)) - cot(270)) - 48. 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. $tan(315) = -1.0... | ((csc(45) - tan(315)) - cot(270)) - 48 | -45.58578643762691 | trig | 1 | 6 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: sin(0) * 33. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $sin(0) = 0$
2. $0 * 33 = 0$
The answer is $0$
3. Drafting the response: "... | sin(0) * 33 | 0 | trig | 5 | 2 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((log(39, 5) * sin(360)) * 39) + 48. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $log(39, 5) = 2.276298835653068$
2. $sin(360) = -2.4... | ((log(39, 5) * sin(360)) * 39) + 48 | 47.99999999999998 | mixed | 4 | 5 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: (48 + sin(45)) / 1. 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. $48 + 0.7071067811865476 = 48.70710... | (48 + sin(45)) / 1 | 48.707106781186546 | trig | 1 | 3 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((log(32, 5) * 37) * tan(225)) * 98. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $log(32, 5) = 2.1533827903669653$
2. $tan(225) = 0.9... | ((log(32, 5) * 37) * tan(225)) * 98 | 7183.165997870613 | mixed | 4 | 7 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: (88 / 64) + log(5, 5). This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $log(5, 5) = 1$
2. $88 / 64 = 1.375$
3. $1.375 + 1 = 2.375$
Th... | (88 / 64) + log(5, 5) | 2.375 | log | 5 | 3 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: (log(37, 2) * 71) + 11. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $log(37, 2) = 5.20945336562895$
2. $5.20945336562895 * 71 = 369.8... | (log(37, 2) * 71) + 11 | 380.87118895965546 | log | 4 | 3 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: (53 * 50) - sec(120). This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $sec(120) = -2.000000000000001$
2. $53 * 50 = 2650$
3. $2650 - -2... | (53 * 50) - sec(120) | 2652 | trig | 1 | 3 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((67 - 58) * 19) * 2**2. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $2**2 = 4$
2. $67 - 58 = 9$
3. $9 * 19 = 171$
4. $171 * 4 = ... | ((67 - 58) * 19) * 2**2 | 684 | power | 5 | 4 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((cos(270) - 53) / sqrt(25)) / 81. 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. $sqrt(25) = 5$... | ((cos(270) - 53) / sqrt(25)) / 81 | 13.869135802469136 | mixed | 4 | 6 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: 80 - 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. $80 - 0.9999999999999999 = 79$
The answ... | 80 - tan(45) | 79 | trig | 2 | 2 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: (csc(90) * 75) / 2**4. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $csc(90) = 1$
2. $2**4 = 16$
3. $1 * 75 = 75$
4. $75 / 16 = 4.... | (csc(90) * 75) / 2**4 | 4.6875 | mixed | 3 | 4 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: 90 + 28. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $90 + 28 = 118$
The answer is $118$
3. Drafting the response: "Ответ на ваш запр... | 90 + 28 | 118 | arithmetic | 3 | 1 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: cot(60) / sqrt(25). This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $cot(60) = 0.577350269189626$
2. $sqrt(25) = 5$
3. $0.5773502691896... | cot(60) / sqrt(25) | 0.11547005383792519 | mixed | 2 | 3 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: 72 / 96. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $72 / 96 = 0.75$
The answer is $0.75$
3. Drafting the response: "Ответ на ваш за... | 72 / 96 | 0.75 | arithmetic | 4 | 1 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: (13 * sqrt(9)) + 8. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $sqrt(9) = 3$
2. $13 * 3 = 39$
3. $39 + 8 = 47$
The answer is $47... | (13 * sqrt(9)) + 8 | 47 | power | 5 | 3 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((88 * sqrt(49)) - 98) / 65. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $sqrt(49) = 7$
2. $88 * 7 = 616$
3. $616 - 98 = 518$
4. ... | ((88 * sqrt(49)) - 98) / 65 | 7.969230769230769 | power | 1 | 4 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((83 + 92) - 78) + 43. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $83 + 92 = 175$
2. $175 - 78 = 97$
3. $97 + 43 = 140$
4. $140 ... | ((83 + 92) - 78) + 43 | 131 | arithmetic | 2 | 4 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: 48 * 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. $48 * 0.8660254037844386 = 41.56921938165... | 48 * sin(60) | 41.569219381653056 | trig | 1 | 2 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((log(33, 2) - tan(30)) / 99) * 60. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $log(33, 2) = 5.044394119358453$
2. $tan(30) = 0.5773... | ((log(33, 2) - tan(30)) / 99) * 60 | 2.707299303132623 | mixed | 2 | 5 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: (4**2 - log(15, 10)) / 32. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $4**2 = 16$
2. $log(15, 10) = 1.1760912590556811$
3. $16 - 1... | (4**2 - log(15, 10)) / 32 | 0.46324714815450996 | mixed | 1 | 4 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((4**4 / 47) * 59) * csc(30). This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $4**4 = 256$
2. $csc(30) = 2.0000000000000004$
3. $log(20... | ((4**4 / 47) * 59) * csc(30) | 639.9965712274584 | mixed | 4 | 7 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: (log(27, 3) + log(37, 5)) + 5. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $log(27, 3) = 3$
2. $log(37, 5) = 2.2435894449529292$
3.... | (log(27, 3) + log(37, 5)) + 5 | 10.24358944495293 | log | 1 | 4 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((cos(180) - 3**3) * 27) / 33. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $cos(180) = -1$
2. $3**3 = 27$
3. $-1 - 27 = -28$
4. $... | ((cos(180) - 3**3) * 27) / 33 | -22.90909090909091 | mixed | 2 | 5 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((93 + 98) + 81) - csc(90). This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $csc(90) = 1$
2. $93 + 98 = 191$
3. $191 + 81 = 272$
4. $... | ((93 + 98) + 81) - csc(90) | 271 | trig | 3 | 4 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((62 / 76) / 98) + 85. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $62 / 76 = 0.8157894736842105$
2. $0.8157894736842105 / 98 = 0.008... | ((62 / 76) / 98) + 85 | 85.00832438238453 | arithmetic | 4 | 3 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((73 * 49) + cot(90)) / tan(60). 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. $tan(60) = 1.732050... | ((73 * 49) + cot(90)) / tan(60) | 2065.181912891292 | trig | 1 | 5 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: (20 / sqrt(100)) / 74. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $sqrt(100) = 10$
2. $20 / 10 = 2$
3. $2 / 74 = 0.027027027027027... | (20 / sqrt(100)) / 74 | 0.02702702702702703 | power | 2 | 3 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((12 / 12) - cos(30)) * cbrt(27). 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. $cbrt(27) = 3$
3. $... | ((12 / 12) - cos(30)) * cbrt(27) | 0.4019237886466839 | mixed | 5 | 5 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: (62 + 2**4) - 38. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $2**4 = 16$
2. $62 + 16 = 78$
3. $78 - 38 = 40$
The answer is $40$
... | (62 + 2**4) - 38 | 40 | power | 3 | 3 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((40 / cbrt(125)) / csc(150)) * 48. 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. $csc(150) = 2.0000... | ((40 / cbrt(125)) / csc(150)) * 48 | 96.00000000000003 | mixed | 1 | 7 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: (5 + cot(60)) * 93. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $cot(60) = 0.577350269189626$
2. $5 + 0.577350269189626 = 5.577350269... | (5 + cot(60)) * 93 | 518.6935750346353 | trig | 2 | 3 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: 67 / 40. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $67 / 40 = 1.675$
The answer is $1.675$
3. Drafting the response: "Ответ на ваш ... | 67 / 40 | 1.675 | arithmetic | 2 | 1 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((cbrt(64) / 58) / 28) - 72. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $cbrt(64) = 3.9999999999999996$
2. $3.9999999999999996 / 58 ... | ((cbrt(64) / 58) / 28) - 72 | -163.9975369458128 | power | 3 | 5 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((sqrt(36) / 17) + cot(315)) - csc(90). This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $sqrt(36) = 6$
2. $cot(315) = -0.9999999999999996... | ((sqrt(36) / 17) + cot(315)) - csc(90) | -2.1470588235294112 | mixed | 3 | 8 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((89 * 43) * 77) / 86. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $89 * 43 = 3827$
2. $3827 * 77 = 294679$
3. $294679 / 86 = 3426.... | ((89 * 43) * 77) / 86 | 3426.5 | arithmetic | 1 | 3 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: (19 * 18) + 97. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $19 * 18 = 342$
2. $342 + 97 = 439$
The answer is $439$
3. Drafting the... | (19 * 18) + 97 | 439 | arithmetic | 1 | 2 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: (66 * csc(210)) * 5**2. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $csc(210) = -1.9999999999999996$
2. $5**2 = 25$
3. $66 * -1.999... | (66 * csc(210)) * 5**2 | -3299.999999999999 | mixed | 1 | 4 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((64 * 27) + cos(30)) * 91. 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. $64 * 27 = 1728$
3. $1728... | ((64 * 27) + cos(30)) * 91 | 157231.8083117444 | trig | 3 | 5 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: (sin(0) * 17) * 16. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $sin(0) = 0$
2. $0 * 17 = 0$
3. $0 * 16 = 0$
The answer is $0$
3.... | (sin(0) * 17) * 16 | 0 | trig | 2 | 3 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((sqrt(81) * 14) + 46) / 6**2. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $sqrt(81) = 9$
2. $6**2 = 36$
3. $9 * 14 = 126$
4. $12... | ((sqrt(81) * 14) + 46) / 6**2 | 4.777777777777778 | power | 2 | 5 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((sqrt(49) * 45) * 2) * 40. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $sqrt(49) = 7$
2. $sin(0) = 0$
3. $7 * 45 = 315$
4. $315 ... | ((sqrt(49) * 45) * 2) * 40 | 25200 | mixed | 1 | 6 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((log(16, 3) * 63) * 55) / 27. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $log(16, 3) = 2.5237190142858297$
2. $2.5237190142858297 *... | ((log(16, 3) * 63) * 55) / 27 | 362.8772735000148 | log | 4 | 5 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: log(48, 5) - 8. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $log(48, 5) = 2.405312426779558$
2. $2.405312426779558 - 8 = -5.594687573... | log(48, 5) - 8 | -5.594687573220442 | log | 1 | 2 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: (29 / 2) + sin(0). This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $sin(0) = 0$
2. $29 / 2 = 14.5$
3. $14.5 + 0 = 14.5$
The answer is... | (29 / 2) + sin(0) | 14.5 | trig | 4 | 3 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((sqrt(64) + 92) - 2) + 71. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $sqrt(64) = 8$
2. $8 + 92 = 100$
3. $100 - 2 = 98$
4. $98... | ((sqrt(64) + 92) - 2) + 71 | 169 | power | 1 | 4 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((95 * 23) * log(29, 10)) + cbrt(216). This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $log(29, 10) = 1.462397997898956$
2. $cbrt(216) = ... | ((95 * 23) * log(29, 10)) + cbrt(216) | 3247.339625409219 | mixed | 1 | 6 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: log(43, 10) + cot(45). This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $log(43, 10) = 1.6334684555795864$
2. $cot(45) = 1.000000000000000... | log(43, 10) + cot(45) | 2.6334684555795866 | mixed | 4 | 3 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: (tan(0) * 15) / 58. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $tan(0) = 0$
2. $0 * 15 = 0$
3. $0 / 58 = 0$
The answer is $0$
3.... | (tan(0) * 15) / 58 | 0 | trig | 5 | 3 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((sin(90) + 7) / sqrt(16)) * cot(315). This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $sin(90) = 1$
2. $sqrt(16) = 4$
3. $cot(315) = -... | ((sin(90) + 7) / sqrt(16)) * cot(315) | -1.9999999999999991 | mixed | 1 | 6 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((16 * 24) / log(39, 10)) / 25. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $log(39, 10) = 1.591064607026499$
2. $16 * 24 = 384$
3.... | ((16 * 24) / log(39, 10)) / 25 | 9.653913443971279 | log | 1 | 4 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((log(48, 3) * 67) - sec(180)) * 39. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $log(48, 3) = 3.5237190142858297$
2. $sec(180) = -1$... | ((log(48, 3) * 67) - sec(180)) * 39 | 9246.477784328874 | mixed | 4 | 5 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: (log(22, 2) - 55) + 92. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $log(22, 2) = 4.459431618637297$
2. $4.459431618637297 - 55 = -50... | (log(22, 2) - 55) + 92 | 41.459431618637296 | log | 1 | 3 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((sin(180) * 79) + cbrt(216)) - 81. 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. $cbrt(216) = 5... | ((sin(180) * 79) + cbrt(216)) - 81 | -74.99999999999999 | mixed | 3 | 5 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((60 / 98) / 91) * cbrt(27). This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $cbrt(27) = 3$
2. $60 / 98 = 0.6122448979591837$
3. $0.612... | ((60 / 98) / 91) * cbrt(27) | 0.0008073559093967257 | power | 2 | 5 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: (81 + log(4, 5)) / 19. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $log(4, 5) = 0.8613531161467861$
2. $81 + 0.8613531161467861 = 81.... | (81 + log(4, 5)) / 19 | 4.308492269270883 | log | 1 | 3 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((tan(180) * 33) * 77) + 51. 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. $-1.2246467991473532... | ((tan(180) * 33) * 77) + 51 | 50.99999999999969 | trig | 5 | 4 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: (32 / cos(0)) * log(29, 2). This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $cos(0) = 1$
2. $log(29, 2) = 4.857980995127573$
3. $32 / 1... | (32 / cos(0)) * log(29, 2) | 155.45539184408233 | mixed | 1 | 4 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: (sec(240) * 92) + sqrt(100). 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. $sqrt(100) = 10$
3. $-... | (sec(240) * 92) + sqrt(100) | -173.99999999999983 | mixed | 4 | 4 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((85 + sin(60)) + log(4, 5)) * 23. 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. $log(4, 5) = 0.86135... | ((85 + sin(60)) + log(4, 5)) * 23 | 1994.729705958418 | mixed | 1 | 5 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: (76 * 78) / 75. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $76 * 78 = 5928$
2. $5928 / 75 = 79.04$
The answer is $79.04$
3. Drafti... | (76 * 78) / 75 | 79.04 | arithmetic | 2 | 2 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: sqrt(36) - 99. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $sqrt(36) = 6$
2. $6 - 99 = -93$
The answer is $-93$
3. Drafting the res... | sqrt(36) - 99 | -93 | power | 1 | 2 |
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