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: 30 * csc(30). This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $csc(30) = 2.0000000000000004$
2. $30 * 2.0000000000000004 = 60.00000000000... | 30 * csc(30) | 60.000000000000014 | trig | 1 | 2 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((csc(150) * 29) / 87) * sec(0). This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $csc(150) = 2.0000000000000004$
2. $sec(0) = 1$
3. $2.... | ((csc(150) * 29) / 87) * sec(0) | 0.6666666666666669 | trig | 2 | 5 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: (55 + log(12, 5)) / 6. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $log(12, 5) = 1.5439593106327716$
2. $55 + 1.5439593106327716 = 56... | (55 + log(12, 5)) / 6 | 9.423993218438795 | log | 3 | 3 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: (38 - sqrt(25)) - 29. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $sqrt(25) = 5$
2. $38 - 5 = 33$
3. $33 - 29 = 4$
The answer is ... | (38 - sqrt(25)) - 29 | 4 | power | 3 | 3 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: (43 * sqrt(9)) - 67. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $sqrt(9) = 3$
2. $43 * 3 = 129$
3. $129 - 67 = 62$
The answer is... | (43 * sqrt(9)) - 67 | 62 | power | 1 | 3 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: (34 * 41) - 9. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $34 * 41 = 1394$
2. $1394 - 9 = 1385$
The answer is $1385$
3. Drafting t... | (34 * 41) - 9 | 1385 | arithmetic | 2 | 2 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((tan(30) + 43) + tan(60)) + 53. 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. $tan(60) = 1.732050807... | ((tan(30) + 43) + tan(60)) + 53 | 98.30940107675849 | trig | 4 | 5 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: (cbrt(27) * 76) + 83. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $cbrt(27) = 3$
2. $3 * 76 = 228$
3. $228 + 83 = 311$
The answer... | (cbrt(27) * 76) + 83 | 311 | power | 5 | 3 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((84 * tan(315)) + tan(315)) + 2**3. 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. $tan(315) = -1.0... | ((84 * tan(315)) + tan(315)) + 2**3 | -6545.000000000004 | mixed | 2 | 7 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: cot(45) / log(17, 5). 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. $log(17, 5) = 1.7603744277225881$... | cot(45) / log(17, 5) | 0.568060967173733 | mixed | 5 | 3 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: (sqrt(4) / 40) - sin(360). This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $sqrt(4) = 2$
2. $sin(360) = -2.4492935982947064e-16$
3. $2 ... | (sqrt(4) / 40) - sin(360) | 0.050000000000000246 | mixed | 1 | 4 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: (93 - 55) / sqrt(16). This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $sqrt(16) = 4$
2. $93 - 55 = 38$
3. $38 / 4 = 9.5$
The answer i... | (93 - 55) / sqrt(16) | 9.5 | power | 5 | 3 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: 40 / 7. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $40 / 7 = 5.714285714285714$
The answer is $5.714285714285714$
3. Drafting the re... | 40 / 7 | 5.714285714285714 | arithmetic | 5 | 1 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: (70 - sin(60)) + 35. 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. $70 - 0.8660254037844386 = 69.1339... | (70 - sin(60)) + 35 | 104.13397459621557 | trig | 3 | 3 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((csc(45) - 70) + 12) * 5. 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. $1.414213562373095 - 70 = -68... | ((csc(45) - 70) + 12) * 5 | -14.146446609406727 | trig | 3 | 5 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: 81 - 65. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $81 - 65 = 16$
The answer is $16$
3. Drafting the response: "Ответ на ваш запрос... | 81 - 65 | 16 | arithmetic | 2 | 1 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((22 / 50) * sqrt(100)) + 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. $22 / 50 = 0.44$
3. $0.44 * 10 = 4.4$... | ((22 / 50) * sqrt(100)) + 31 | 0.5446153846153846 | power | 4 | 5 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: (cbrt(216) + sqrt(9)) + 27. 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. $sqrt(9) = 3$
3. $5.9999... | (cbrt(216) + sqrt(9)) + 27 | 36 | power | 4 | 4 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: (43 + log(34, 5)) / 67. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $log(34, 5) = 2.1910509857959815$
2. $43 + 2.1910509857959815 = 4... | (43 + log(34, 5)) / 67 | 0.6744932982954625 | log | 3 | 3 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: 39 - 17. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $39 - 17 = 22$
The answer is $22$
3. Drafting the response: "Ответ на ваш запрос... | 39 - 17 | 22 | arithmetic | 3 | 1 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((sqrt(100) - 33) + 1) + 34. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $sqrt(100) = 10$
2. $10 - 33 = -23$
3. $-23 + 1 = -22$
4... | ((sqrt(100) - 33) + 1) + 34 | 12 | power | 5 | 4 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((tan(360) + 51) / sin(30)) * sqrt(36). 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. $sin(30) ... | ((tan(360) + 51) / sin(30)) * sqrt(36) | 612.0000000000001 | mixed | 5 | 6 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: 88 * 55. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $88 * 55 = 4840$
The answer is $4840$
3. Drafting the response: "Ответ на ваш за... | 88 * 55 | 4840 | arithmetic | 1 | 1 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((sin(30) * 42) * 48) * 88. 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. $0.49999999999999994 * 42 ... | ((sin(30) * 42) * 48) * 88 | 88617.99999999999 | trig | 4 | 5 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((4**4 / tan(135)) + 11) - cos(180). This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $4**4 = 256$
2. $tan(135) = -1.0000000000000002$
3... | ((4**4 / tan(135)) + 11) - cos(180) | -243.99999999999994 | mixed | 3 | 6 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: (67 + cos(60)) + 4**4. 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. $4**4 = 256$
3. $67 + 0.500000... | (67 + cos(60)) + 4**4 | 323.5 | mixed | 4 | 4 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: (72 / 78) * sin(90). This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $sin(90) = 1$
2. $72 / 78 = 0.9230769230769231$
3. $0.923076923076... | (72 / 78) * sin(90) | 0.9230769230769231 | trig | 2 | 3 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: (66 / 2**2) - 69. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $2**2 = 4$
2. $66 / 4 = 16.5$
3. $16.5 - 69 = -52.5$
The answer is ... | (66 / 2**2) - 69 | -52.5 | power | 1 | 3 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((sec(45) - 85) - log(11, 3)) - 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. $log(11, 3) = 2.1826... | ((sec(45) - 85) - log(11, 3)) - 80 | -165.76844477627105 | mixed | 2 | 5 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((68 * cot(135)) * sin(45)) - 16. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $cot(135) = -0.9999999999999998$
2. $sin(45) = 0.707106... | ((68 * cot(135)) * sin(45)) - 16 | -142.08326112068522 | trig | 5 | 6 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((90 - cbrt(216)) - 3**2) + cbrt(216). 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. $3**2 = 9$
3.... | ((90 - cbrt(216)) - 3**2) + cbrt(216) | 81 | power | 5 | 6 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((86 + 29) / tan(30)) - log(41, 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. $log(41, 3) = 3.380... | ((86 + 29) / tan(30)) - log(41, 3) | 230.80560390440095 | mixed | 4 | 6 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: (31 - cos(360)) / 20. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $cos(360) = 1$
2. $31 - 1 = 30$
3. $30 / 20 = 1.5$
The answer i... | (31 - cos(360)) / 20 | 1.5 | trig | 3 | 3 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: 54 + 71. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $54 + 71 = 125$
The answer is $125$
3. Drafting the response: "Ответ на ваш запр... | 54 + 71 | 125 | arithmetic | 3 | 1 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: sqrt(16) * 76. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $sqrt(16) = 4$
2. $4 * 76 = 304$
The answer is $304$
3. Drafting the res... | sqrt(16) * 76 | 304 | power | 4 | 2 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: (75 * log(40, 5)) + 35. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $log(40, 5) = 2.292029674220179$
2. $75 * 2.292029674220179 = 171... | (75 * log(40, 5)) + 35 | 206.90222556651344 | log | 4 | 3 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: sin(60) - 4**3. 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. $4**3 = 64$
3. $0.8660254037844386 - ... | sin(60) - 4**3 | -63.13397459621556 | mixed | 1 | 3 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: 83 / log(3, 3). This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $log(3, 3) = 1$
2. $83 / 1 = 83$
The answer is $83$
3. Drafting the res... | 83 / log(3, 3) | 83 | log | 1 | 2 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((48 * 89) - 68) + 83. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $48 * 89 = 4272$
2. $4272 - 68 = 4204$
3. $4204 + 83 = 4287$
T... | ((48 * 89) - 68) + 83 | 4287 | arithmetic | 3 | 3 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: 33 - 95. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $33 - 95 = -62$
The answer is $-62$
3. Drafting the response: "Ответ на ваш запр... | 33 - 95 | -62 | arithmetic | 3 | 1 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((95 + 41) + 22) * 95. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $95 + 41 = 136$
2. $136 + 22 = 158$
3. $158 * 95 = 15010$
The ... | ((95 + 41) + 22) * 95 | 15010 | arithmetic | 3 | 3 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((60 + 85) / 99) * 84. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $60 + 85 = 145$
2. $145 / 99 = 1.4646464646464648$
3. $1.4646464... | ((60 + 85) / 99) * 84 | 123.03030303030305 | arithmetic | 5 | 3 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((76 - 35) - sqrt(81)) * 9. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $sqrt(81) = 9$
2. $76 - 35 = 41$
3. $41 - 9 = 32$
4. $32 ... | ((76 - 35) - sqrt(81)) * 9 | 288 | power | 1 | 4 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((46 / sqrt(25)) / 63) - 86. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $sqrt(25) = 5$
2. $46 / 5 = 9.2$
3. $9.2 / 63 = 0.14603174... | ((46 / sqrt(25)) / 63) - 86 | -110.85396825396825 | power | 1 | 5 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((44 + 47) / sqrt(16)) * 76. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $sqrt(16) = 4$
2. $44 + 47 = 91$
3. $91 / 4 = 22.75$
4. ... | ((44 + 47) / sqrt(16)) * 76 | 1824 | power | 5 | 5 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: (74 * 22) + 65. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $74 * 22 = 1628$
2. $1628 + 65 = 1693$
The answer is $1693$
3. Drafting... | (74 * 22) + 65 | 1693 | arithmetic | 3 | 2 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: 2**2 / sqrt(36). This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $2**2 = 4$
2. $sqrt(36) = 6$
3. $4 / 6 = 0.6666666666666666$
The ans... | 2**2 / sqrt(36) | 0.6666666666666666 | power | 2 | 3 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((36 + cbrt(216)) / cbrt(125)) - 20. 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. $cbrt(125) = 4.99... | ((36 + cbrt(216)) / cbrt(125)) - 20 | -11.599999999999998 | power | 5 | 5 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: 55 + 12. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $55 + 12 = 67$
The answer is $67$
3. Drafting the response: "Ответ на ваш запрос... | 55 + 12 | 67 | arithmetic | 3 | 1 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((45 + sec(60)) * 23) - 80. 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. $45 + 1.9999999999999996 = ... | ((45 + sec(60)) * 23) - 80 | 1001 | trig | 4 | 4 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: (51 - 10) / 64. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $51 - 10 = 41$
2. $41 / 64 = 0.640625$
The answer is $0.640625$
3. Draf... | (51 - 10) / 64 | 0.640625 | arithmetic | 4 | 2 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: (5**4 * tan(30)) * log(42, 10). This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $5**4 = 625$
2. $tan(30) = 0.5773502691896257$
3. $log(... | (5**4 * tan(30)) * log(42, 10) | 585.7396342331855 | mixed | 2 | 5 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: 56 - 67. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $56 - 67 = -11$
The answer is $-11$
3. Drafting the response: "Ответ на ваш запр... | 56 - 67 | -11 | arithmetic | 1 | 1 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((38 + 2) / sqrt(49)) * 5**4. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $sqrt(49) = 7$
2. $5**4 = 625$
3. $log(38, 2) = 5.2479275... | ((38 + 2) / sqrt(49)) * 5**4 | 3576.6764989420153 | mixed | 1 | 7 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((83 / log(34, 2)) * 29) + sec(120). 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. $sec(120) = -2.00... | ((83 / log(34, 2)) * 29) + sec(120) | 471.12384878440395 | mixed | 5 | 5 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: (sin(180) * sqrt(16)) / 76. 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. $sqrt(16) = 4$
3. $1... | (sin(180) * sqrt(16)) / 76 | 6.445509469196596e-18 | mixed | 1 | 4 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((68 * 97) * 92) - 91. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $68 * 97 = 6596$
2. $6596 * 92 = 606832$
3. $606832 - 91 = 60674... | ((68 * 97) * 92) - 91 | 606741 | arithmetic | 1 | 3 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: (88 / 84) * 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. $88 / 84 = 1.0476190476190477$
... | (88 / 84) * cbrt(125) | 5.238095238095237 | power | 2 | 3 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((25 / 12) / 79) / 53. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $25 / 12 = 2.0833333333333335$
2. $2.0833333333333335 / 79 = 0.026... | ((25 / 12) / 79) / 53 | -86.99950242815062 | arithmetic | 4 | 4 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: (53 * 11) + 19. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $53 * 11 = 583$
2. $583 + 19 = 602$
The answer is $602$
3. Drafting the... | (53 * 11) + 19 | 602 | arithmetic | 3 | 2 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: (76 / 25) / 3**4. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $3**4 = 81$
2. $76 / 25 = 3.04$
3. $3.04 / 81 = 0.037530864197530864$... | (76 / 25) / 3**4 | 0.037530864197530864 | power | 5 | 3 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((22 / 99) / 16) / 15. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $sin(0) = 0$
2. $22 / 99 = 0.2222222222222222$
3. $0.22222222222... | ((22 / 99) / 16) / 15 | 0.0009259259259259259 | trig | 5 | 5 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: (log(2, 2) + 97) * sqrt(49). This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $log(2, 2) = 1$
2. $sqrt(49) = 7$
3. $1 + 97 = 98$
4. $9... | (log(2, 2) + 97) * sqrt(49) | 686 | mixed | 3 | 4 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: 74 / 4. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $74 / 4 = 18.5$
The answer is $18.5$
3. Drafting the response: "Ответ на ваш запр... | 74 / 4 | 18.5 | arithmetic | 3 | 1 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((3 / 1) / 55) + 51. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $3 / 1 = 3$
2. $3 / 55 = 0.05454545454545454$
3. $0.05454545454545... | ((3 / 1) / 55) + 51 | 51.054545454545455 | arithmetic | 5 | 3 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((sin(45) - 86) - 5) - log(47, 5). 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. $log(47, 5) = 2.3922... | ((sin(45) - 86) - 5) - log(47, 5) | -92.68512442696681 | mixed | 5 | 5 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((9 / 6**3) * cbrt(27)) - cos(180). This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $6**3 = 216$
2. $cbrt(27) = 3$
3. $cos(180) = -1$
... | ((9 / 6**3) * cbrt(27)) - cos(180) | 1.125 | mixed | 4 | 6 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: (log(6, 3) * log(25, 2)) - 1. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $log(6, 3) = 1.6309297535714573$
2. $log(25, 2) = 4.6438561... | (log(6, 3) * log(25, 2)) - 1 | 6.573803231210578 | log | 1 | 4 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: 54 / tan(315). 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. $54 / -1.0000000000000004 = -53.999999... | 54 / tan(315) | -53.99999999999998 | trig | 3 | 2 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((log(23, 2) + 71) + 86) * 56. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $log(23, 2) = 4.523561956057013$
2. $4.523561956057013 + 7... | ((log(23, 2) + 71) + 86) * 56 | 9045.319469539192 | log | 3 | 4 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: 95 / log(12, 10). This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $log(12, 10) = 1.0791812460476247$
2. $95 / 1.0791812460476247 = 88.029... | 95 / log(12, 10) | 88.02969876276705 | log | 4 | 2 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: 70 - 22. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $70 - 22 = 48$
The answer is $48$
3. Drafting the response: "Ответ на ваш запрос... | 70 - 22 | 48 | arithmetic | 2 | 1 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((73 * csc(270)) - log(34, 2)) + tan(315). This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $csc(270) = -1$
2. $log(34, 2) = 5.08746284125... | ((73 * csc(270)) - log(34, 2)) + tan(315) | -79.08746284125034 | mixed | 5 | 6 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((60 * 18) / log(40, 10)) / 96. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $log(40, 10) = 1.6020599913279623$
2. $log(44, 5) = 2.351... | ((60 * 18) / log(40, 10)) / 96 | 9.373458162596844 | log | 2 | 6 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((97 / 37) - 41) + 9. 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. $97 / 37 = 2.62162162162162... | ((97 / 37) - 41) + 9 | 5.396720556783133e-15 | trig | 4 | 5 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: (95 / 97) - 66. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $95 / 97 = 0.979381443298969$
2. $0.979381443298969 - 66 = -65.0206185567... | (95 / 97) - 66 | -65.02061855670104 | arithmetic | 1 | 2 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((sin(90) / 23) - log(28, 3)) + 30. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $sin(90) = 1$
2. $log(28, 3) = 3.033103256304337$
3... | ((sin(90) / 23) - log(28, 3)) + 30 | 27.01037500456523 | mixed | 2 | 5 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: (log(4, 5) - 41) / 68. 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. $0.8613531161467861 - 41 = -40... | (log(4, 5) - 41) / 68 | -0.5902742188801943 | log | 3 | 3 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((sqrt(16) + 89) / tan(45)) * 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. $tan(45) = 0.9999999999999999$
... | ((sqrt(16) + 89) / tan(45)) * cos(0) | 93.00000000000001 | mixed | 4 | 6 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((38 + sqrt(4)) / cos(180)) + 61. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $sqrt(4) = 2$
2. $cos(180) = -1$
3. $38 + 2 = 40$
4... | ((38 + sqrt(4)) / cos(180)) + 61 | 21 | mixed | 4 | 5 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: 34 - 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. $34 - 6 = 28$
The answer is $28$
3. Drafting the respo... | 34 - sqrt(36) | 28 | power | 5 | 2 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((89 + 19) / 72) * 17. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $sqrt(49) = 7$
2. $89 + 19 = 108$
3. $108 / 72 = 1.5$
4. $1.5 ... | ((89 + 19) / 72) * 17 | 3.642857142857143 | power | 2 | 5 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: (tan(360) - log(50, 10)) - 12. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $tan(360) = -2.4492935982947064e-16$
2. $log(50, 10) = 1.6... | (tan(360) - log(50, 10)) - 12 | -13.698970004336019 | mixed | 4 | 4 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: (sin(30) + 43) * 47. 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. $0.49999999999999994 + 43 = 43.5$... | (sin(30) + 43) * 47 | 2044.5 | trig | 1 | 3 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((sqrt(81) / 86) - 52) * cos(270). This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $sqrt(81) = 9$
2. $cos(270) = -1.8369701987210297e-16$... | ((sqrt(81) / 86) - 52) * cos(270) | 1.620613557525154e-13 | mixed | 5 | 6 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: (sec(180) * 94) / 8. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $sec(180) = -1$
2. $-1 * 94 = -94$
3. $-94 / 8 = -11.75$
The ans... | (sec(180) * 94) / 8 | -11.75 | trig | 4 | 3 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: 40 / 38. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $40 / 38 = 1.0526315789473684$
The answer is $1.0526315789473684$
3. Drafting th... | 40 / 38 | 1.0526315789473684 | arithmetic | 2 | 1 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((23 / 54) * 38) + log(9, 5). This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $log(9, 5) = 1.3652123889719707$
2. $log(27, 2) = 4.7548875... | ((23 / 54) * 38) + log(9, 5) | 3.6910226721813597 | log | 5 | 6 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((sqrt(49) + 59) * 3**2) * 1. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $sqrt(49) = 7$
2. $3**2 = 9$
3. $cot(45) = 1.000000000000... | ((sqrt(49) + 59) * 3**2) * 1 | 594.0000000000001 | mixed | 3 | 7 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: 44 - 49. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $44 - 49 = -5$
The answer is $-5$
3. Drafting the response: "Ответ на ваш запрос... | 44 - 49 | -5 | arithmetic | 1 | 1 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((94 - 63) - 86) * 17. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $sqrt(64) = 8$
2. $94 - 63 = 31$
3. $31 - 86 = -55$
4. $-55 * ... | ((94 - 63) - 86) * 17 | -927 | power | 1 | 5 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((sin(30) * 4) - 92) * 62. 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. $0.49999999999999994 * 4 = ... | ((sin(30) * 4) - 92) * 62 | -5580 | trig | 5 | 4 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((23 * sqrt(100)) / 68) + cos(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. $cos(90) = 6.123233995736766e-17$
... | ((23 * sqrt(100)) / 68) + cos(90) | 3.3823529411764706 | mixed | 4 | 5 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: sin(270) + 70. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $sin(270) = -1$
2. $-1 + 70 = 69$
The answer is $69$
3. Drafting the res... | sin(270) + 70 | 69 | trig | 4 | 2 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((91 - sqrt(4)) - 9) - sqrt(9). This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $sqrt(4) = 2$
2. $sqrt(9) = 3$
3. $91 - 2 = 89$
4. $8... | ((91 - sqrt(4)) - 9) - sqrt(9) | 77 | power | 3 | 5 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: (12 - 17) * 97. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $12 - 17 = -5$
2. $-5 * 97 = -485$
The answer is $-485$
3. Drafting the... | (12 - 17) * 97 | -485 | arithmetic | 5 | 2 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: (64 + sin(60)) + sin(0). 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. $sin(0) = 0$
3. $64 + 0.8660... | (64 + sin(60)) + sin(0) | 64.86602540378443 | trig | 1 | 4 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: (2**2 / sec(360)) / sin(30). This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $2**2 = 4$
2. $sec(360) = 1$
3. $sin(30) = 0.4999999999999... | (2**2 / sec(360)) / sin(30) | 8.000000000000002 | mixed | 4 | 5 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: (45 - 42) - 49. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $45 - 42 = 3$
2. $3 - 49 = -46$
The answer is $-46$
3. Drafting the res... | (45 - 42) - 49 | -46 | arithmetic | 5 | 2 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((cos(90) - cbrt(64)) - sqrt(36)) * 95. 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. $cbrt(64) = ... | ((cos(90) - cbrt(64)) - sqrt(36)) * 95 | -1391.7248446820306 | mixed | 5 | 8 |
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