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: (43 / 49) * tan(135). 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. $43 / 49 = 0.8775510204081632$
... | (43 / 49) * tan(135) | -0.8775510204081635 | trig | 2 | 3 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: cbrt(8) + 38. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $cbrt(8) = 2$
2. $2 + 38 = 40$
The answer is $40$
3. Drafting the respons... | cbrt(8) + 38 | 40 | power | 5 | 2 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((69 - 83) - sqrt(81)) + 84. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $sqrt(81) = 9$
2. $69 - 83 = -14$
3. $-14 - 9 = -23$
4. ... | ((69 - 83) - sqrt(81)) + 84 | 61 | power | 4 | 4 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((cos(30) * 1) + 57) - 24. 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. $log(36, 3) = 3.261859507142... | ((cos(30) * 1) + 57) - 24 | 30.604165896641526 | mixed | 1 | 6 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: (18 + 11) * 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. $18 + 11 = 29$
3. $29 * 7 = 203$
The answer i... | (18 + 11) * sqrt(49) | 203 | power | 1 | 3 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: (31 / tan(45)) + 33. 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. $31 / 0.9999999999999999 = 31.0000... | (31 / tan(45)) + 33 | 64 | trig | 1 | 3 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((30 * sec(45)) + cot(225)) + 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. $cot(225) = 1.00000000... | ((30 * sec(45)) + cot(225)) + 80 | 91.42640687119285 | trig | 4 | 6 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: cot(45) - 64. 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. $1.0000000000000002 - 64 = -63$
The ans... | cot(45) - 64 | -63 | trig | 3 | 2 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: (55 * sin(0)) / 41. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $sin(0) = 0$
2. $55 * 0 = 0$
3. $0 / 41 = 0$
The answer is $0$
3.... | (55 * sin(0)) / 41 | 0 | trig | 3 | 3 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: 40 - 47. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $40 - 47 = -7$
The answer is $-7$
3. Drafting the response: "Ответ на ваш запрос... | 40 - 47 | -7 | arithmetic | 5 | 1 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: cot(45) + csc(210). 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. $csc(210) = -1.9999999999999996$
... | cot(45) + csc(210) | -0.9999999999999993 | trig | 4 | 3 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: (sqrt(100) / sqrt(64)) * cos(180). This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $sqrt(100) = 10$
2. $sqrt(64) = 8$
3. $cos(180) = -1... | (sqrt(100) / sqrt(64)) * cos(180) | -1.25 | mixed | 2 | 5 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((log(2, 5) / 59) * 90) - 12. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $log(2, 5) = 0.43067655807339306$
2. $0.43067655807339306 /... | ((log(2, 5) / 59) * 90) - 12 | 82.6569642411289 | log | 4 | 5 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((5 - 29) * 78) - tan(360). This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $tan(360) = -2.4492935982947064e-16$
2. $5 - 29 = -24$
3. $... | ((5 - 29) * 78) - tan(360) | -1872 | trig | 2 | 4 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((53 / 19) - 96) * sin(30). This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $sin(30) = 0.49999999999999994$
2. $53 / 19 = 2.7894736842105... | ((53 / 19) - 96) * sin(30) | -46.60526315789473 | trig | 3 | 4 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((69 / csc(270)) + cbrt(216)) * cos(270). This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $csc(270) = -1$
2. $cbrt(216) = 5.9999999999999... | ((69 / csc(270)) + cbrt(216)) * cos(270) | 4.1331829471223167e-16 | mixed | 5 | 7 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: 3**2 + tan(45). This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $3**2 = 9$
2. $tan(45) = 0.9999999999999999$
3. $9 + 0.9999999999999999... | 3**2 + tan(45) | 10 | mixed | 4 | 3 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: (cos(45) + 95) / 56. 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 + 95 = 95.7071... | (cos(45) + 95) / 56 | 1.709055478235474 | trig | 5 | 3 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: 90 * 5**3. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $5**3 = 125$
2. $90 * 125 = 11250$
The answer is $11250$
3. Drafting the res... | 90 * 5**3 | 11250 | power | 5 | 2 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: 51 + 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. $51 + -0.9999999999999996 = 50$
The ... | 51 + cot(315) | 50 | trig | 5 | 2 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((9 + 78) + 2**4) / sqrt(9). This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $2**4 = 16$
2. $sqrt(9) = 3$
3. $9 + 78 = 87$
4. $87 + 1... | ((9 + 78) + 2**4) / sqrt(9) | 34.333333333333336 | power | 2 | 5 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: (6**4 - 96) / 84. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $6**4 = 1296$
2. $1296 - 96 = 1200$
3. $1200 / 84 = 14.28571428571428... | (6**4 - 96) / 84 | 14.285714285714286 | power | 4 | 3 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: 57 / 91. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $57 / 91 = 0.6263736263736264$
The answer is $0.6263736263736264$
3. Drafting th... | 57 / 91 | 0.6263736263736264 | arithmetic | 2 | 1 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((28 * 32) + 35) / 99. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $28 * 32 = 896$
2. $896 + 35 = 931$
3. $931 / 99 = 9.40404040404... | ((28 * 32) + 35) / 99 | 9.404040404040405 | arithmetic | 3 | 3 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((34 - 28) * cos(180)) / 76. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $cos(180) = -1$
2. $34 - 28 = 6$
3. $6 * -1 = -6$
4. $-6... | ((34 - 28) * cos(180)) / 76 | -0.07894736842105263 | trig | 3 | 4 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: 63 - sqrt(100). This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $sqrt(100) = 10$
2. $63 - 10 = 53$
The answer is $53$
3. Drafting the r... | 63 - sqrt(100) | 53 | power | 1 | 2 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: (cos(270) * sin(270)) + cbrt(64). 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. $sin(270) = -1$... | (cos(270) * sin(270)) + cbrt(64) | 3.9999999999999996 | mixed | 3 | 5 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((sin(60) * log(34, 5)) / 90) + 97. 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(34, 5) = 2.191... | ((sin(60) * log(34, 5)) / 90) + 97 | 97.02108339794096 | mixed | 4 | 5 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((94 - 15) + 20) * 73. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $94 - 15 = 79$
2. $79 + 20 = 99$
3. $99 * 73 = 7227$
The answe... | ((94 - 15) + 20) * 73 | 7227 | arithmetic | 2 | 3 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: cbrt(8) - tan(30). This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $cbrt(8) = 2$
2. $tan(30) = 0.5773502691896257$
3. $2 - 0.5773502691... | cbrt(8) - tan(30) | 1.4226497308103743 | mixed | 3 | 3 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((sec(60) + 9) * 29) / 63. 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. $1.9999999999999996 + 9 = 11... | ((sec(60) + 9) * 29) / 63 | 5.063492063492063 | trig | 2 | 4 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((sqrt(81) + 67) + 44) - csc(150). This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $sqrt(81) = 9$
2. $csc(150) = 2.0000000000000004$
3.... | ((sqrt(81) + 67) + 44) - csc(150) | 11446 | mixed | 4 | 6 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: log(19, 2) * csc(210). This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $log(19, 2) = 4.247927513443585$
2. $csc(210) = -1.999999999999999... | log(19, 2) * csc(210) | -8.495855026887169 | mixed | 5 | 3 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((log(47, 5) + sin(270)) - 7) / cos(60). This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $log(47, 5) = 2.392231208153366$
2. $sin(270) = ... | ((log(47, 5) + sin(270)) - 7) / cos(60) | -11.215537583693267 | mixed | 1 | 6 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: tan(180) * sin(270). 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. $sin(270) = -1$
3. $-1.224... | tan(180) * sin(270) | 1.2246467991473532e-16 | trig | 5 | 3 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: (cos(45) * 26) - tan(60). 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(60) = 1.7320508075688767... | (cos(45) * 26) - tan(60) | 16.65272550328136 | trig | 4 | 4 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((cot(315) * tan(60)) - 49) + 1. 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. $tan(60) = 1.7320508... | ((cot(315) * tan(60)) - 49) + 1 | -49.732050807568875 | trig | 3 | 5 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: (69 / 82) * 13. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $69 / 82 = 0.8414634146341463$
2. $0.8414634146341463 * 13 = 10.939024390... | (69 / 82) * 13 | 10.939024390243903 | arithmetic | 3 | 2 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((99 + cos(180)) - cbrt(216)) + sqrt(81). This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $cos(180) = -1$
2. $cbrt(216) = 5.9999999999999... | ((99 + cos(180)) - cbrt(216)) + sqrt(81) | 101 | mixed | 4 | 6 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((27 / 48) + cos(45)) * 89. 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. $27 / 48 = 0.5625$
3. $0.... | ((27 / 48) + cos(45)) * 89 | 113.99500352560273 | trig | 5 | 5 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((tan(60) + sin(60)) / log(9, 10)) + 88. 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. $sin(60) = 0.8... | ((tan(60) + sin(60)) / log(9, 10)) + 88 | 90.72265821911438 | mixed | 4 | 6 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((sqrt(9) + sqrt(9)) / 64) + 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. $sqrt(9) = 3$
3. $3 + 3 = 6$
4. $6 /... | ((sqrt(9) + sqrt(9)) / 64) + 8 | 8.09375 | power | 1 | 5 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: sec(60) * 32. 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. $1.9999999999999996 * 32 = 63.99999999999... | sec(60) * 32 | 63.999999999999986 | trig | 1 | 2 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((73 * 65) * tan(0)) / log(12, 3). This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $tan(0) = 0$
2. $log(12, 3) = 2.2618595071429146$
3.... | ((73 * 65) * tan(0)) / log(12, 3) | 0 | mixed | 1 | 5 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((cos(270) / cbrt(216)) - 1) + 7. 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. $cbrt(216) = 5.... | ((cos(270) / cbrt(216)) - 1) + 7 | 6 | mixed | 1 | 5 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: sqrt(64) + log(40, 10). This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $sqrt(64) = 8$
2. $log(40, 10) = 1.6020599913279623$
3. $8 + 1.... | sqrt(64) + log(40, 10) | 9.602059991327963 | mixed | 3 | 3 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: tan(180) - 7. 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. $-1.2246467991473532e-16 - 7 = -7$
... | tan(180) - 7 | -7 | trig | 2 | 2 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((sqrt(16) * 24) / 35) / 9. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $sqrt(16) = 4$
2. $4 * 24 = 96$
3. $96 / 35 = 2.74285714285... | ((sqrt(16) * 24) / 35) / 9 | 0.3047619047619048 | power | 4 | 4 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: (69 + 81) + tan(180). This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $tan(180) = -1.2246467991473532e-16$
2. $69 + 81 = 150$
3. $150 +... | (69 + 81) + tan(180) | 150 | trig | 3 | 3 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((15 + 29) / tan(30)) / 87. 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. $15 + 29 = 44$
3. $44 / 0... | ((15 + 29) / tan(30)) / 87 | 0.8759797187704667 | trig | 5 | 4 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: 28 / 69. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $28 / 69 = 0.4057971014492754$
The answer is $0.4057971014492754$
3. Drafting th... | 28 / 69 | 0.4057971014492754 | arithmetic | 3 | 1 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((48 * 95) / 56) * 82. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $48 * 95 = 4560$
2. $4560 / 56 = 81.42857142857143$
3. $81.42857... | ((48 * 95) / 56) * 82 | 6677.142857142857 | arithmetic | 1 | 3 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: 93 + 87. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $93 + 87 = 180$
The answer is $180$
3. Drafting the response: "Ответ на ваш запр... | 93 + 87 | 180 | arithmetic | 5 | 1 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((sin(90) - sqrt(4)) + log(39, 10)) / 63. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $sin(90) = 1$
2. $sqrt(4) = 2$
3. $log(39, 10... | ((sin(90) - sqrt(4)) + log(39, 10)) / 63 | 0.00938197788930951 | mixed | 5 | 6 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: (3**4 * 67) + 14. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $3**4 = 81$
2. $81 * 67 = 5427$
3. $5427 + 14 = 5441$
The answer is... | (3**4 * 67) + 14 | 5441 | power | 3 | 3 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((99 / 18) / sqrt(100)) + sqrt(9). This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $sqrt(100) = 10$
2. $sqrt(9) = 3$
3. $99 / 18 = 5.5$... | ((99 / 18) / sqrt(100)) + sqrt(9) | 3.55 | power | 4 | 5 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((sin(90) - 100) / sqrt(16)) - 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. $sqrt(16) = 4$
3. $1 - 100 = -99$
... | ((sin(90) - 100) / sqrt(16)) - 5 | -29.75 | mixed | 4 | 5 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: 2**3 * 81. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $2**3 = 8$
2. $8 * 81 = 648$
The answer is $648$
3. Drafting the response: "... | 2**3 * 81 | 648 | power | 3 | 2 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((sqrt(4) + 55) * 87) / log(39, 5). This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $sqrt(4) = 2$
2. $log(39, 5) = 2.276298835653068$
3... | ((sqrt(4) + 55) * 87) / log(39, 5) | 2238.5364567817246 | mixed | 1 | 6 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((cot(90) / 27) + 35) * 6. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $cot(90) = 6.123233995736766e-17$
2. $6.123233995736766e-17 / ... | ((cot(90) / 27) + 35) * 6 | 210 | trig | 1 | 4 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: (2 - sqrt(25)) * 5**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. $5**3 = 125$
3. $2 - 5 = -3$
4. $-3 * 125 = ... | (2 - sqrt(25)) * 5**3 | -375 | power | 4 | 4 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((tan(360) + 12) * 77) / cos(60). This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $tan(360) = -2.4492935982947064e-16$
2. $cos(60) = 0.50... | ((tan(360) + 12) * 77) / cos(60) | 1836.9999999999995 | trig | 3 | 6 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: (75 * 5) - sqrt(25). This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $sqrt(25) = 5$
2. $75 * 5 = 375$
3. $375 - 5 = 370$
The answer i... | (75 * 5) - sqrt(25) | 370 | power | 5 | 3 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((4**2 / log(14, 5)) - 37) * 58. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $4**2 = 16$
2. $log(14, 5) = 1.6397385131955606$
3. $1... | ((4**2 / log(14, 5)) - 37) * 58 | -1578.056105572899 | mixed | 5 | 6 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: (sqrt(100) / 57) * 31. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $sqrt(100) = 10$
2. $10 / 57 = 0.17543859649122806$
3. $0.175438... | (sqrt(100) / 57) * 31 | 5.43859649122807 | power | 5 | 3 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: (cbrt(27) / 80) * sin(60). This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $cbrt(27) = 3$
2. $sin(60) = 0.8660254037844386$
3. $3 / 80 ... | (cbrt(27) / 80) * sin(60) | 0.032475952641916446 | mixed | 1 | 4 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((cbrt(27) - 100) / 19) + 23. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $cbrt(27) = 3$
2. $sqrt(4) = 2$
3. $3 - 100 = -97$
4. $... | ((cbrt(27) - 100) / 19) + 23 | 19.894736842105264 | power | 5 | 6 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: (2**4 / 58) / cbrt(27). This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $2**4 = 16$
2. $cbrt(27) = 3$
3. $16 / 58 = 0.27586206896551724... | (2**4 / 58) / cbrt(27) | 0.09195402298850575 | power | 3 | 4 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((log(45, 5) / log(16, 5)) + 11) / 82. 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. $log(16, 5) =... | ((log(45, 5) / log(16, 5)) + 11) / 82 | -0.8491102039746047 | log | 5 | 6 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((93 / sec(240)) * 97) * cos(90). This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $sec(240) = -1.9999999999999982$
2. $cos(90) = 6.123233... | ((93 / sec(240)) * 97) * cos(90) | -2.7618846937770713e-13 | trig | 1 | 5 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: (27 * 38) / 68. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $27 * 38 = 1026$
2. $1026 / 68 = 15.088235294117647$
The answer is $15.... | (27 * 38) / 68 | 15.088235294117647 | arithmetic | 5 | 2 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((100 - tan(0)) * 68) + 84. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $tan(0) = 0$
2. $100 - 0 = 100$
3. $100 * 68 = 6800$
4. $... | ((100 - tan(0)) * 68) + 84 | 6980 | trig | 5 | 5 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: (sqrt(25) / tan(315)) - 1. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $sqrt(25) = 5$
2. $tan(315) = -1.0000000000000004$
3. $5 / -... | (sqrt(25) / tan(315)) - 1 | -5.999999999999998 | mixed | 2 | 4 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: sqrt(16) + 64. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $sqrt(16) = 4$
2. $4 + 64 = 68$
The answer is $68$
3. Drafting the respo... | sqrt(16) + 64 | 68 | power | 3 | 2 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((8 + 100) * tan(30)) - 5**3. 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. $5**3 = 125$
3. $8 + 10... | ((8 + 100) * tan(30)) - 5**3 | -6.9606856586133805 | mixed | 1 | 6 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: (100 / cbrt(216)) + 59. 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. $100 / 5.999999999999999 = 16.... | (100 / cbrt(216)) + 59 | 75.66666666666667 | power | 4 | 3 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: 57 / 57. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $57 / 57 = 1$
The answer is $1$
3. Drafting the response: "Ответ на ваш запрос в... | 57 / 57 | 1 | arithmetic | 2 | 1 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: sqrt(100) / 42. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $sqrt(100) = 10$
2. $10 / 42 = 0.23809523809523808$
The answer is $0.23... | sqrt(100) / 42 | 0.23809523809523808 | power | 3 | 2 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((tan(225) / sec(45)) / 57) + tan(135). 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. $sec(45) = 1.4... | ((tan(225) / sec(45)) / 57) + tan(135) | -0.07596881675953235 | trig | 3 | 7 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((92 + 23) - 32) + 90. 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. $92 + 23 = 115$
3. $115 - 32... | ((92 + 23) - 32) + 90 | 172 | trig | 4 | 5 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((sqrt(4) * 67) / 33) * 17. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $sqrt(4) = 2$
2. $log(33, 10) = 1.5185139398778873$
3. $2 *... | ((sqrt(4) * 67) / 33) * 17 | 70.54881697018092 | mixed | 4 | 6 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: (76 + 67) / 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. $76 + 67 = 143$
3. $143 / 0.7071... | (76 + 67) / cos(45) | 202.23253941935258 | trig | 4 | 3 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: 90 * 2. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $90 * 2 = 180$
The answer is $180$
3. Drafting the response: "Ответ на ваш запрос... | 90 * 2 | 180 | arithmetic | 4 | 1 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((sqrt(16) * tan(360)) * 54) + tan(60). This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $sqrt(16) = 4$
2. $tan(360) = -2.4492935982947064... | ((sqrt(16) * tan(360)) * 54) + tan(60) | 1.732050807568824 | mixed | 4 | 8 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((log(29, 10) * sqrt(16)) / sec(60)) - 12. 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. $sqrt(16)... | ((log(29, 10) * sqrt(16)) / sec(60)) - 12 | -8.075204004202087 | mixed | 5 | 8 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: 65 / 99. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $65 / 99 = 0.6565656565656566$
The answer is $0.6565656565656566$
3. Drafting th... | 65 / 99 | 0.6565656565656566 | arithmetic | 2 | 1 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: 94 - 6. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $94 - 6 = 88$
The answer is $88$
3. Drafting the response: "Ответ на ваш запрос в... | 94 - 6 | 88 | arithmetic | 5 | 1 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: 85 + 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. $85 + 1.041392685158225 = 86.04139... | 85 + log(11, 10) | 86.04139268515823 | log | 3 | 2 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: (6**2 - 44) / sec(60). This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $6**2 = 36$
2. $sec(60) = 1.9999999999999996$
3. $36 - 44 = -8$
... | (6**2 - 44) / sec(60) | -4.000000000000001 | mixed | 1 | 4 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: (11 - 48) - 21. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $11 - 48 = -37$
2. $-37 - 21 = -58$
The answer is $-58$
3. Drafting the... | (11 - 48) - 21 | -58 | arithmetic | 3 | 2 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((cos(0) * log(11, 2)) / 87) - 69. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $cos(0) = 1$
2. $log(11, 2) = 3.4594316186372978$
3.... | ((cos(0) * log(11, 2)) / 87) - 69 | -68.96023641817658 | mixed | 3 | 5 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((log(3, 5) * 39) * 4) - 70. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $log(3, 5) = 0.6826061944859854$
2. $0.6826061944859854 * 39... | ((log(3, 5) * 39) * 4) - 70 | 36.48656633981372 | log | 1 | 4 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: 46 - 63. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $46 - 63 = -17$
The answer is $-17$
3. Drafting the response: "Ответ на ваш запр... | 46 - 63 | -17 | arithmetic | 2 | 1 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((sqrt(100) + 53) * 6) / 82. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $sqrt(100) = 10$
2. $10 + 53 = 63$
3. $63 * 6 = 378$
4. ... | ((sqrt(100) + 53) * 6) / 82 | 0.13558106169296985 | power | 4 | 5 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((1 + 94) - 24) * 82. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $1 + 94 = 95$
2. $95 - 24 = 71$
3. $71 * 82 = 5822$
The answer ... | ((1 + 94) - 24) * 82 | 5822 | arithmetic | 2 | 3 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((66 / 75) / 6**3) + 51. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $6**3 = 216$
2. $log(29, 3) = 3.0650447521106625$
3. $66 / 75 ... | ((66 / 75) / 6**3) + 51 | 47.93902932196341 | mixed | 2 | 6 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: 79 * log(29, 2). This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $log(29, 2) = 4.857980995127573$
2. $79 * 4.857980995127573 = 383.780498... | 79 * log(29, 2) | 383.7804986150783 | log | 3 | 2 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((cbrt(27) - 43) + 79) / 62. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $cbrt(27) = 3$
2. $3 - 43 = -40$
3. $-40 + 79 = 39$
4. $... | ((cbrt(27) - 43) + 79) / 62 | -42.37096774193548 | power | 5 | 5 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((cbrt(8) / 62) / 54) / 44. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $cbrt(8) = 2$
2. $2 / 62 = 0.03225806451612903$
3. $0.03225... | ((cbrt(8) / 62) / 54) / 44 | 57.00001357662648 | power | 3 | 5 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((24 + 60) / 78) * sin(180). 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. $24 + 60 = 84$
3. $... | ((24 + 60) / 78) * sin(180) | 1.3188503990817648e-16 | trig | 5 | 4 |
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