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: ((sin(45) * 17) + tan(180)) / sin(60). This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $sin(45) = 0.7071067811865476$
2. $tan(180) = -1.2... | ((sin(45) * 17) + tan(180)) / sin(60) | 13.880441875771345 | trig | 4 | 6 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((sqrt(4) - sqrt(16)) / cbrt(27)) / 6**3. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $sqrt(4) = 2$
2. $sqrt(16) = 4$
3. $cbrt(27) ... | ((sqrt(4) - sqrt(16)) / cbrt(27)) / 6**3 | -53.00308641975309 | power | 4 | 8 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((sin(45) - 31) * 54) * 51. 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. $0.7071067811865476 - 31 = ... | ((sin(45) - 31) * 54) * 51 | -83358.62792461226 | trig | 4 | 5 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((8 + log(34, 2)) + cbrt(8)) / 72. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $log(34, 2) = 5.08746284125034$
2. $cbrt(8) = 2$
3. ... | ((8 + log(34, 2)) + cbrt(8)) / 72 | 0.20954809501736582 | mixed | 1 | 5 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: (3**2 * 86) - 20. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $3**2 = 9$
2. $9 * 86 = 774$
3. $774 - 20 = 754$
The answer is $754... | (3**2 * 86) - 20 | 754 | power | 2 | 3 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((cos(180) + tan(360)) / csc(210)) / 50. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $cos(180) = -1$
2. $tan(360) = -2.44929359829470... | ((cos(180) + tan(360)) / csc(210)) / 50 | 0.010000000000000004 | trig | 3 | 6 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: (53 * tan(45)) + 8. 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. $53 * 0.9999999999999999 = 52.99999... | (53 * tan(45)) + 8 | 60.99999999999999 | trig | 3 | 3 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((58 + 74) / 95) * 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. $58 + 74 = 132$
3. $132 / 95 = 1.38947368421... | ((58 + 74) / 95) * cos(0) | 0.026216484607745782 | trig | 3 | 5 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: (82 * 43) / 74. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $82 * 43 = 3526$
2. $3526 / 74 = 47.648648648648646$
The answer is $47.... | (82 * 43) / 74 | 47.648648648648646 | arithmetic | 3 | 2 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((29 * sec(180)) * 37) / log(21, 3). This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $sec(180) = -1$
2. $log(21, 3) = 2.771243749161422$
... | ((29 * sec(180)) * 37) / log(21, 3) | -20.378461558141627 | mixed | 3 | 6 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((sqrt(9) / sqrt(49)) + 79) * cbrt(27). This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $sqrt(9) = 3$
2. $sqrt(49) = 7$
3. $cbrt(27) = ... | ((sqrt(9) / sqrt(49)) + 79) * cbrt(27) | 238.28571428571428 | power | 5 | 6 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((sec(120) - log(6, 5)) - cbrt(27)) * 23. 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. $log(6, 5) =... | ((sec(120) - log(6, 5)) - cbrt(27)) * 23 | -194.6055033088657 | mixed | 3 | 7 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: (4**3 * log(32, 3)) * 95. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $4**3 = 64$
2. $log(32, 3) = 3.154648767857287$
3. $64 * 3.15... | (4**3 * log(32, 3)) * 95 | 19180.264508572305 | mixed | 1 | 4 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: 44 - sqrt(4). This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $sqrt(4) = 2$
2. $44 - 2 = 42$
The answer is $42$
3. Drafting the respons... | 44 - sqrt(4) | 42 | power | 5 | 2 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: tan(360) / sqrt(81). 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. $sqrt(81) = 9$
3. $-2.4492... | tan(360) / sqrt(81) | -2.7214373314385625e-17 | mixed | 1 | 3 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: (90 + 24) * csc(45). 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. $90 + 24 = 114$
3. $114 * 1.41421... | (90 + 24) * csc(45) | 161.22034611053283 | trig | 3 | 3 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: sin(180) * sin(45). This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $sin(180) = 1.2246467991473532e-16$
2. $sin(45) = 0.7071067811865476$... | sin(180) * sin(45) | 8.659560562354934e-17 | trig | 4 | 3 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: (21 + 71) * 53. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $21 + 71 = 92$
2. $92 * 53 = 4876$
The answer is $4876$
3. Drafting the... | (21 + 71) * 53 | 4876 | arithmetic | 4 | 2 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: 80 / 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. $80 / 0.7071067811865476 = 113.1370849898... | 80 / cos(45) | 113.1370849898476 | trig | 5 | 2 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((sqrt(16) / tan(225)) - cos(360)) * 90. 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(225) = 0.9999999999999997... | ((sqrt(16) / tan(225)) - cos(360)) * 90 | 270.00000000000017 | mixed | 3 | 6 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: (23 - cot(135)) * 23. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $cot(135) = -0.9999999999999998$
2. $23 - -0.9999999999999998 = 24$... | (23 - cot(135)) * 23 | 552 | trig | 5 | 3 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((98 * 65) / cos(45)) / 2. 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. $98 * 65 = 6370$
3. $6370 ... | ((98 * 65) / cos(45)) / 2 | 409888.58785040595 | trig | 1 | 5 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((60 * cos(360)) - 73) + tan(30). This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $cos(360) = 1$
2. $tan(30) = 0.5773502691896257$
3. $... | ((60 * cos(360)) - 73) + tan(30) | -173.91709623134523 | trig | 1 | 6 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((14 + sin(45)) / csc(60)) - 14. 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. $csc(60) = 1.154700538... | ((14 + sin(45)) / csc(60)) - 14 | -1.2632719113220663 | trig | 4 | 5 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((cos(270) * 89) / 53) + tan(30). 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. $tan(30) = 0.57... | ((cos(270) * 89) / 53) + tan(30) | 0.5773502691896254 | trig | 3 | 5 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: (log(36, 2) + 37) * sin(360). This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $log(36, 2) = 5.169925001442312$
2. $sin(360) = -2.44929359... | (log(36, 2) + 37) * sin(360) | -1.0328652734660054e-14 | mixed | 5 | 4 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((tan(45) / 93) / 30) * cbrt(8). This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $tan(45) = 0.9999999999999999$
2. $cbrt(8) = 2$
3. $sq... | ((tan(45) / 93) / 30) * cbrt(8) | 0.00010240655401945723 | mixed | 5 | 7 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((sqrt(25) * cot(315)) * cos(360)) - 87. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $sqrt(25) = 5$
2. $cot(315) = -0.999999999999999... | ((sqrt(25) * cot(315)) * cos(360)) - 87 | -42 | mixed | 2 | 7 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((tan(180) - 26) * 2) / 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. $sin(270) = -1$... | ((tan(180) - 26) * 2) / sin(270) | 52 | trig | 2 | 5 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: (log(38, 10) - sqrt(25)) - sin(0). This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $log(38, 10) = 1.57978359661681$
2. $sqrt(25) = 5$
3... | (log(38, 10) - sqrt(25)) - sin(0) | -3.42021640338319 | mixed | 2 | 5 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: csc(45) * tan(45). 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. $tan(45) = 0.9999999999999999$
3. $... | csc(45) * tan(45) | 1.4142135623730947 | trig | 4 | 3 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((64 / 64) / cos(30)) * 60. 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. $64 / 64 = 1$
3. $1 / 0.8... | ((64 / 64) / cos(30)) * 60 | 152.28203230275508 | trig | 3 | 5 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: 16 - 64. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $16 - 64 = -48$
The answer is $-48$
3. Drafting the response: "Ответ на ваш запр... | 16 - 64 | -48 | arithmetic | 3 | 1 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((76 * 34) * sqrt(49)) - sqrt(36). This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $sqrt(49) = 7$
2. $sqrt(36) = 6$
3. $log(6, 5) = 1.1... | ((76 * 34) * sqrt(49)) - sqrt(36) | 18080.886717247442 | mixed | 5 | 7 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((100 + 38) + sin(45)) - 4. 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. $100 + 38 = 138$
3. $138 ... | ((100 + 38) + sin(45)) - 4 | 226.70710678118655 | trig | 5 | 5 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((52 + 28) * cbrt(27)) / log(15, 2). This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $cbrt(27) = 3$
2. $log(15, 2) = 3.9068905956085187$
... | ((52 + 28) * cbrt(27)) / log(15, 2) | 161.42992595435572 | mixed | 1 | 6 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: (tan(0) + 2) * 35. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $tan(0) = 0$
2. $0 + 2 = 2$
3. $2 * 35 = 70$
The answer is $70$
3.... | (tan(0) + 2) * 35 | 70 | trig | 5 | 3 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: (8 * 68) / cot(60). 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. $8 * 68 = 544$
3. $544 / 0.5773502... | (8 * 68) / cot(60) | 942.2356393174689 | trig | 3 | 3 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: (7 / 63) * 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. $7 / 63 = 0.1111111111111111$... | (7 / 63) * sin(180) | 1.3607186657192813e-17 | trig | 4 | 3 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: log(24, 5) * 47. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $log(24, 5) = 1.9746358687061647$
2. $1.9746358687061647 * 47 = 92.80788... | log(24, 5) * 47 | 92.80788582918974 | log | 1 | 2 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((log(37, 3) + 95) - 3) * 15. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $log(37, 3) = 3.2867991282182727$
2. $3.2867991282182727 + ... | ((log(37, 3) + 95) - 3) * 15 | 1334.3019869232742 | log | 5 | 5 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: (41 * sqrt(100)) - tan(45). This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $sqrt(100) = 10$
2. $tan(45) = 0.9999999999999999$
3. $41 *... | (41 * sqrt(100)) - tan(45) | 409 | mixed | 5 | 4 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((23 + 16) / 76) + 52. 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. $23 + 16 = 39$
3. $39 / 76 ... | ((23 + 16) / 76) + 52 | 52.51315789473684 | trig | 5 | 5 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((62 + 23) * 27) + 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. $62 + 23 = 85$
3. $85 * 27 = 2295$
4.... | ((62 + 23) * 27) + cos(180) | 2294 | trig | 1 | 4 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: (16 / 66) - 71. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $16 / 66 = 0.24242424242424243$
2. $0.24242424242424243 - 71 = -70.757575... | (16 / 66) - 71 | -70.75757575757575 | arithmetic | 5 | 2 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: 17 + cbrt(125). 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. $17 + 4.999999999999999 = 22$
The an... | 17 + cbrt(125) | 22 | power | 3 | 2 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((51 / 4) / cbrt(216)) + 80. 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. $51 / 4 = 12.75$
3. $12... | ((51 / 4) / cbrt(216)) + 80 | 63.125 | power | 3 | 5 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((83 * 41) + cot(315)) - 96. 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. $83 * 41 = 3403$
3. $3... | ((83 * 41) + cot(315)) - 96 | 3251 | trig | 2 | 5 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: 80 + 97. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $80 + 97 = 177$
The answer is $177$
3. Drafting the response: "Ответ на ваш запр... | 80 + 97 | 177 | arithmetic | 4 | 1 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: sin(360) + 45. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $sin(360) = -2.4492935982947064e-16$
2. $-2.4492935982947064e-16 + 45 = 45... | sin(360) + 45 | 45 | trig | 2 | 2 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((10 - 6**4) + log(37, 10)) + 88. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $6**4 = 1296$
2. $log(37, 10) = 1.5682017240669948$
3... | ((10 - 6**4) + log(37, 10)) + 88 | -1192.431798275933 | mixed | 4 | 7 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((tan(180) - 12) / 38) - 31. 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) - 12) / 38) - 31 | 22.68421052631579 | trig | 1 | 5 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((53 / cbrt(125)) * 29) / 93. 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. $53 / 4.999999999999999 ... | ((53 / cbrt(125)) * 29) / 93 | 3.3053763440860218 | power | 3 | 4 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: (cos(360) + 39) - 96. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $cos(360) = 1$
2. $1 + 39 = 40$
3. $40 - 96 = -56$
The answer i... | (cos(360) + 39) - 96 | -56 | trig | 5 | 3 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((71 / 41) * 56) * 19. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $71 / 41 = 1.7317073170731707$
2. $1.7317073170731707 * 56 = 96.97... | ((71 / 41) * 56) * 19 | 1842.5365853658536 | arithmetic | 5 | 3 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: 59 / 92. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $59 / 92 = 0.6413043478260869$
The answer is $0.6413043478260869$
3. Drafting th... | 59 / 92 | 0.6413043478260869 | arithmetic | 2 | 1 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: cos(180) + 13. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $cos(180) = -1$
2. $-1 + 13 = 12$
The answer is $12$
3. Drafting the res... | cos(180) + 13 | 12 | trig | 5 | 2 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: log(43, 3) - 95. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $log(43, 3) = 3.423591884497679$
2. $3.423591884497679 - 95 = -91.576408... | log(43, 3) - 95 | -91.57640811550232 | log | 2 | 2 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((sec(0) / 7) * 56) / 31. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $sec(0) = 1$
2. $1 / 7 = 0.14285714285714285$
3. $0.142857142... | ((sec(0) / 7) * 56) / 31 | -36.74193548387097 | trig | 4 | 5 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((sqrt(16) * sqrt(25)) / 74) + cos(0). This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $sqrt(16) = 4$
2. $sqrt(25) = 5$
3. $cos(0) = 1$... | ((sqrt(16) * sqrt(25)) / 74) + cos(0) | 1.2702702702702702 | mixed | 2 | 6 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((6 - 17) + 39) + 36. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $6 - 17 = -11$
2. $-11 + 39 = 28$
3. $28 + 36 = 64$
The answer ... | ((6 - 17) + 39) + 36 | 64 | arithmetic | 5 | 3 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((55 - 48) * sqrt(36)) - 20. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $sqrt(36) = 6$
2. $55 - 48 = 7$
3. $7 * 6 = 42$
4. $42 -... | ((55 - 48) * sqrt(36)) - 20 | 56 | power | 1 | 5 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: 69 / 80. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $69 / 80 = 0.8625$
The answer is $0.8625$
3. Drafting the response: "Ответ на ва... | 69 / 80 | 0.8625 | arithmetic | 1 | 1 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((cos(180) + sqrt(64)) - 81) + 88. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $cos(180) = -1$
2. $sqrt(64) = 8$
3. $-1 + 8 = 7$
... | ((cos(180) + sqrt(64)) - 81) + 88 | 14 | mixed | 4 | 5 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((cos(360) * 48) - 98) * tan(360). This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $cos(360) = 1$
2. $tan(360) = -2.4492935982947064e-16$... | ((cos(360) * 48) - 98) * tan(360) | 7.347880794884119e-14 | mixed | 5 | 7 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((sqrt(9) - 58) * 3) * sqrt(81). This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $sqrt(9) = 3$
2. $sqrt(81) = 9$
3. $cot(45) = 1.000000... | ((sqrt(9) - 58) * 3) * sqrt(81) | -1484.9999999999998 | mixed | 1 | 7 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((66 * 50) - sec(120)) - 59. 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. $66 * 50 = 3300$
3. $33... | ((66 * 50) - sec(120)) - 59 | 810.75 | trig | 5 | 5 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: 21 + 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. $21 + 1.1547005383792517 = 22.15470053837... | 21 + csc(60) | 22.154700538379252 | trig | 5 | 2 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((sin(60) * 72) + tan(225)) - 92. 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. $tan(225) = 0.9999999... | ((sin(60) * 72) + tan(225)) - 92 | -28.646170927520423 | trig | 5 | 7 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((13 * sqrt(100)) / 23) + sin(90). This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $sqrt(100) = 10$
2. $sin(90) = 1$
3. $13 * 10 = 130$... | ((13 * sqrt(100)) / 23) + sin(90) | 6.6521739130434785 | mixed | 1 | 5 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: 2 / 49. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $2 / 49 = 0.04081632653061224$
The answer is $0.04081632653061224$
3. Drafting th... | 2 / 49 | 0.04081632653061224 | arithmetic | 5 | 1 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: (25 / 72) + 62. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $25 / 72 = 0.3472222222222222$
2. $0.3472222222222222 + 62 = 62.347222222... | (25 / 72) + 62 | 62.34722222222222 | arithmetic | 3 | 2 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: (34 * 11) + 31. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $34 * 11 = 374$
2. $374 + 31 = 405$
The answer is $405$
3. Drafting the... | (34 * 11) + 31 | 405 | arithmetic | 5 | 2 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((6**2 * cos(0)) + 75) + 43. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $6**2 = 36$
2. $cos(0) = 1$
3. $36 * 1 = 36$
4. $36 + 75... | ((6**2 * cos(0)) + 75) + 43 | 154 | mixed | 3 | 5 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: (70 - cos(180)) - log(8, 2). This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $cos(180) = -1$
2. $log(8, 2) = 3$
3. $70 - -1 = 71$
4. ... | (70 - cos(180)) - log(8, 2) | 68 | mixed | 3 | 4 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: 89 - 45. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $89 - 45 = 44$
The answer is $44$
3. Drafting the response: "Ответ на ваш запрос... | 89 - 45 | 44 | arithmetic | 3 | 1 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((1 - 20) - log(43, 3)) / sin(270). This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $log(43, 3) = 3.423591884497679$
2. $sin(270) = -1$
... | ((1 - 20) - log(43, 3)) / sin(270) | 22.42359188449768 | mixed | 4 | 5 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((3 * 34) / cos(60)) / 83. 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. $3 * 34 = 102$
3. $102 / 0... | ((3 * 34) / cos(60)) / 83 | 2.4578313253012043 | trig | 4 | 4 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: (40 / sqrt(64)) * 14. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $sqrt(64) = 8$
2. $40 / 8 = 5$
3. $5 * 14 = 70$
The answer is $... | (40 / sqrt(64)) * 14 | 70 | power | 1 | 3 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: (log(14, 2) + 23) + sin(360). This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $log(14, 2) = 3.8073549220576037$
2. $sin(360) = -2.4492935... | (log(14, 2) + 23) + sin(360) | 26.807354922057606 | mixed | 5 | 4 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: (66 / sin(60)) / 2. 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. $66 / 0.8660254037844386 = 76.21023... | (66 / sin(60)) / 2 | 38.1051177665153 | trig | 5 | 3 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((50 - 97) * 50) * log(9, 3). This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $log(9, 3) = 2$
2. $50 - 97 = -47$
3. $-47 * 50 = -2350$
... | ((50 - 97) * 50) * log(9, 3) | -4700 | log | 5 | 4 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((42 / 13) - 65) - 40. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $42 / 13 = 3.230769230769231$
2. $3.230769230769231 - 65 = -61.769... | ((42 / 13) - 65) - 40 | -101.76923076923077 | arithmetic | 1 | 3 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((13 * cos(0)) * 2) - 40. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $cos(0) = 1$
2. $13 * 1 = 13$
3. $13 * 2 = 26$
4. $26 - 40 ... | ((13 * cos(0)) * 2) - 40 | -14 | trig | 1 | 4 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: sin(45) * 26. 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. $0.7071067811865476 * 26 = 18.38477631085... | sin(45) * 26 | 18.38477631085024 | trig | 1 | 2 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((84 + 41) * 67) * 81. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $84 + 41 = 125$
2. $125 * 67 = 8375$
3. $8375 * 81 = 678375$
T... | ((84 + 41) * 67) * 81 | 678375 | arithmetic | 4 | 3 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((log(42, 3) * 25) / 64) * 59. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $log(42, 3) = 3.4021735027328797$
2. $3.4021735027328797 *... | ((log(42, 3) * 25) / 64) * 59 | 177.40946744579685 | log | 5 | 5 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: (82 - cot(135)) / log(20, 5). This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $cot(135) = -0.9999999999999998$
2. $log(20, 5) = 1.8613531... | (82 - cot(135)) / log(20, 5) | 44.59121661547997 | mixed | 2 | 4 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: 61 * 84. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $61 * 84 = 5124$
The answer is $5124$
3. Drafting the response: "Ответ на ваш за... | 61 * 84 | 5124 | arithmetic | 5 | 1 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: cot(225) - sqrt(49). 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. $sqrt(49) = 7$
3. $1.0000000000... | cot(225) - sqrt(49) | -6 | mixed | 3 | 3 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((3 * 87) - 59) * 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. $sin(90) = 1$
3. $3 * 87 = 261$
4. $261 - 5... | ((3 * 87) - 59) * sin(0) | 0 | trig | 5 | 6 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: (cbrt(125) - sqrt(81)) + 18. 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. $sqrt(81) = 9$
3. $4.99... | (cbrt(125) - sqrt(81)) + 18 | 14 | power | 3 | 4 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((95 * 31) - 80) * 79. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $95 * 31 = 2945$
2. $2945 - 80 = 2865$
3. $2865 * 79 = 226335$
... | ((95 * 31) - 80) * 79 | 22633.5 | arithmetic | 1 | 4 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: (cot(270) - 89) / 7. 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. $1.83697019872103e-16 - 89 = -8... | (cot(270) - 89) / 7 | -12.714285714285714 | trig | 2 | 3 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: (14 + sin(90)) / 48. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $sin(90) = 1$
2. $14 + 1 = 15$
3. $15 / 48 = 0.3125$
The answer ... | (14 + sin(90)) / 48 | 0.3125 | trig | 2 | 3 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((59 - 80) + 21) + 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. $sin(60) = 0.8660254037844386$
3. $59 - ... | ((59 - 80) + 21) + sqrt(36) | 5.196152422706632 | mixed | 5 | 6 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((99 / sqrt(81)) * tan(315)) + 32. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $sqrt(81) = 9$
2. $tan(315) = -1.0000000000000004$
3... | ((99 / sqrt(81)) * tan(315)) + 32 | 20.999999999999993 | mixed | 4 | 7 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: (82 * sin(0)) + 58. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $sin(0) = 0$
2. $82 * 0 = 0$
3. $0 + 58 = 58$
The answer is $58$
... | (82 * sin(0)) + 58 | 58 | trig | 3 | 3 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((62 * cos(360)) + sqrt(64)) - 98. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $cos(360) = 1$
2. $sqrt(64) = 8$
3. $62 * 1 = 62$
... | ((62 * cos(360)) + sqrt(64)) - 98 | -28 | mixed | 3 | 5 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((log(36, 5) / 10) + tan(315)) / cos(0). This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $log(36, 5) = 2.226565505118757$
2. $tan(315) = ... | ((log(36, 5) / 10) + tan(315)) / cos(0) | -0.7773434494881247 | mixed | 1 | 6 |
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