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(360) + sqrt(49)) - 70. 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. $sqrt(49) = 7$
3. $... | (sin(360) + sqrt(49)) - 70 | -63 | mixed | 4 | 4 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((sqrt(81) + 40) - sec(180)) - 71. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $sqrt(81) = 9$
2. $sec(180) = -1$
3. $9 + 40 = 49$
... | ((sqrt(81) + 40) - sec(180)) - 71 | -45 | mixed | 2 | 6 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: (21 + 62) * 86. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $21 + 62 = 83$
2. $83 * 86 = 7138$
The answer is $7138$
3. Drafting the... | (21 + 62) * 86 | 7138 | arithmetic | 1 | 2 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: 3**3 * 61. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $3**3 = 27$
2. $27 * 61 = 1647$
The answer is $1647$
3. Drafting the respons... | 3**3 * 61 | 1647 | power | 2 | 2 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: (92 * log(5, 2)) + sin(60). This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $log(5, 2) = 2.321928094887362$
2. $sin(60) = 0.8660254037844... | (92 * log(5, 2)) + sin(60) | 214.48341013342176 | mixed | 5 | 4 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((tan(60) / log(30, 5)) + 19) - 45. 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. $log(30, 5) = 2.113... | ((tan(60) / log(30, 5)) + 19) - 45 | -25.180397982488994 | mixed | 1 | 5 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((log(38, 2) / 54) / 42) - cbrt(27). This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $log(38, 2) = 5.247927513443585$
2. $cbrt(27) = 3$
... | ((log(38, 2) / 54) / 42) - cbrt(27) | 7.002313901020036 | mixed | 4 | 6 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: 17 + 70. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $17 + 70 = 87$
The answer is $87$
3. Drafting the response: "Ответ на ваш запрос... | 17 + 70 | 87 | arithmetic | 3 | 1 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: (15 + 53) - 52. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $15 + 53 = 68$
2. $68 - 52 = 16$
The answer is $16$
3. Drafting the res... | (15 + 53) - 52 | 16 | arithmetic | 1 | 2 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((cos(0) - cbrt(8)) / 67) - sin(270). This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $cos(0) = 1$
2. $cbrt(8) = 2$
3. $sin(270) = -1$
... | ((cos(0) - cbrt(8)) / 67) - sin(270) | 1.9701492537313434 | mixed | 5 | 8 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: (72 + 91) - 91. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $72 + 91 = 163$
2. $163 - 91 = 72$
The answer is $72$
3. Drafting the r... | (72 + 91) - 91 | 72 | arithmetic | 2 | 2 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((cot(30) / 6) - 49) - sqrt(25). This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $cot(30) = 1.7320508075688774$
2. $sqrt(25) = 5$
3. $l... | ((cot(30) / 6) - 49) - sqrt(25) | -260.92859541926146 | mixed | 5 | 7 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: 55 * 11. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $55 * 11 = 605$
The answer is $605$
3. Drafting the response: "Ответ на ваш запр... | 55 * 11 | 605 | arithmetic | 4 | 1 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((sqrt(36) - sin(30)) + 83) * cos(30). This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $sqrt(36) = 6$
2. $sin(30) = 0.49999999999999994$
... | ((sqrt(36) - sin(30)) + 83) * cos(30) | 76.64324823492282 | mixed | 3 | 6 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((61 / cos(30)) + csc(270)) / 75. 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. $csc(270) = -1$
3. ... | ((61 / cos(30)) + csc(270)) / 75 | 0.925823104548458 | trig | 1 | 5 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: (sin(90) + 62) / log(24, 3). This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $sin(90) = 1$
2. $log(24, 3) = 2.8927892607143724$
3. $1 +... | (sin(90) + 62) / log(24, 3) | 21.778288814734534 | mixed | 4 | 4 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: 56 * 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. $56 * 1.2246467991473532e-16 = 6.85... | 56 * sin(180) | 6.858022075225178e-15 | trig | 3 | 2 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((28 * sec(45)) / 20) + 12. 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. $28 * 1.414213562373095 = 39... | ((28 * sec(45)) / 20) + 12 | 13.979898987322333 | trig | 2 | 4 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: (52 + 100) - sqrt(64). This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $sqrt(64) = 8$
2. $52 + 100 = 152$
3. $152 - 8 = 144$
The answ... | (52 + 100) - sqrt(64) | 144 | power | 4 | 3 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: (sec(45) + sin(270)) + sqrt(100). 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. $sin(270) = -1$
3. $... | (sec(45) + sin(270)) + sqrt(100) | 10.414213562373096 | mixed | 4 | 5 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((2**3 * 6**3) - cos(180)) / 83. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $2**3 = 8$
2. $6**3 = 216$
3. $cos(180) = -1$
4. $8 ... | ((2**3 * 6**3) - cos(180)) / 83 | 20.83132530120482 | mixed | 3 | 6 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((cbrt(27) * 75) / sec(180)) / 45. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $cbrt(27) = 3$
2. $sec(180) = -1$
3. $3 * 75 = 225$
... | ((cbrt(27) * 75) / sec(180)) / 45 | -5 | mixed | 2 | 5 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: sin(0) / cbrt(216). This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $sin(0) = 0$
2. $cbrt(216) = 5.999999999999999$
3. $0 / 5.999999999... | sin(0) / cbrt(216) | 0 | mixed | 2 | 3 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: 33 * 42. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $33 * 42 = 1386$
The answer is $1386$
3. Drafting the response: "Ответ на ваш за... | 33 * 42 | 1386 | arithmetic | 2 | 1 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((cos(360) / sqrt(64)) * cos(90)) - cos(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. $sqrt(64) = 8$
3. $cos(... | ((cos(360) / sqrt(64)) * cos(90)) - cos(360) | -36 | mixed | 3 | 8 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: (33 * 47) - sec(30). This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $sec(30) = 1.1547005383792515$
2. $33 * 47 = 1551$
3. $1551 - 1.15... | (33 * 47) - sec(30) | 1549.8452994616207 | trig | 1 | 3 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((2**3 - 71) / log(40, 2)) * 99. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $2**3 = 8$
2. $log(40, 2) = 5.321928094887363$
3. $8 -... | ((2**3 - 71) / log(40, 2)) * 99 | -1171.9436807107038 | mixed | 1 | 5 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: (97 / sec(360)) - 6**3. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $sec(360) = 1$
2. $6**3 = 216$
3. $97 / 1 = 97$
4. $97 - 216 ... | (97 / sec(360)) - 6**3 | -119 | mixed | 1 | 4 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((csc(60) - tan(0)) - log(43, 2)) / log(5, 5). 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. $tan(0) ... | ((csc(60) - tan(0)) - log(43, 2)) / log(5, 5) | -4.271564216322846 | mixed | 1 | 7 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((24 - 89) * 72) * sqrt(81). This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $sqrt(81) = 9$
2. $sqrt(64) = 8$
3. $24 - 89 = -65$
4. $... | ((24 - 89) * 72) * sqrt(81) | -42128 | power | 1 | 6 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: 73 + 33. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $73 + 33 = 106$
The answer is $106$
3. Drafting the response: "Ответ на ваш запр... | 73 + 33 | 106 | arithmetic | 1 | 1 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((28 - cbrt(125)) + 51) + 12. 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. $28 - 4.999999999999999 ... | ((28 - cbrt(125)) + 51) + 12 | 86 | power | 5 | 4 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((2**3 + 46) - log(3, 2)) * 13. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $2**3 = 8$
2. $log(3, 2) = 1.5849625007211563$
3. $8 + ... | ((2**3 + 46) - log(3, 2)) * 13 | 706.395487490625 | mixed | 5 | 6 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: (log(46, 3) * 7) - sqrt(81). This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $log(46, 3) = 3.4849795837717283$
2. $sqrt(81) = 9$
3. $3.... | (log(46, 3) * 7) - sqrt(81) | 15.394857086402098 | mixed | 4 | 4 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((37 * 16) / 83) - cbrt(8). This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $cbrt(8) = 2$
2. $37 * 16 = 592$
3. $592 / 83 = 7.132530120... | ((37 * 16) / 83) - cbrt(8) | -75.86746987951807 | power | 5 | 5 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: 57 / 21. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $57 / 21 = 2.7142857142857144$
The answer is $2.7142857142857144$
3. Drafting th... | 57 / 21 | 2.7142857142857144 | arithmetic | 2 | 1 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((24 - 41) - sqrt(25)) * 14. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $sqrt(25) = 5$
2. $24 - 41 = -17$
3. $-17 - 5 = -22$
4. ... | ((24 - 41) - sqrt(25)) * 14 | -308 | power | 2 | 4 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: 20 / 93. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $20 / 93 = 0.21505376344086022$
The answer is $0.21505376344086022$
3. Drafting ... | 20 / 93 | 0.21505376344086022 | arithmetic | 1 | 1 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((log(39, 2) - cos(60)) + cos(360)) * 3**3. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $log(39, 2) = 5.285402218862249$
2. $cos(60) ... | ((log(39, 2) - cos(60)) + cos(360)) * 3**3 | 138.20585990928072 | mixed | 3 | 8 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: tan(225) - 55. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $tan(225) = 0.9999999999999997$
2. $0.9999999999999997 - 55 = -54$
The a... | tan(225) - 55 | -54 | trig | 4 | 2 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((sin(0) - 91) + 61) * 27. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $sin(0) = 0$
2. $0 - 91 = -91$
3. $-91 + 61 = -30$
4. $-30... | ((sin(0) - 91) + 61) * 27 | -810 | trig | 3 | 4 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: (sqrt(81) * 86) / 63. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $sqrt(81) = 9$
2. $9 * 86 = 774$
3. $774 / 63 = 12.28571428571428... | (sqrt(81) * 86) / 63 | 12.285714285714286 | power | 2 | 3 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((54 / log(33, 5)) - cos(270)) - 2**3. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $log(33, 5) = 2.1725022968909635$
2. $cos(270) = -... | ((54 / log(33, 5)) - cos(270)) - 2**3 | 16.856130222406954 | mixed | 4 | 6 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: 55 - 65. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $55 - 65 = -10$
The answer is $-10$
3. Drafting the response: "Ответ на ваш запр... | 55 - 65 | -10 | arithmetic | 3 | 1 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: (45 - 2) / log(44, 5). This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $log(44, 5) = 2.3512492185517644$
2. $45 - 2 = 43$
3. $43 / 2.35... | (45 - 2) / log(44, 5) | 18.288150682081056 | log | 3 | 3 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: sin(45) * 64. 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 * 64 = 45.25483399593... | sin(45) * 64 | 45.254833995939045 | trig | 1 | 2 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((75 * sin(30)) * 41) + 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. $sin(30) = 0.49999999... | ((75 * sin(30)) * 41) + sin(30) | 1537.9999999999998 | trig | 2 | 5 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: 57 * 82. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $57 * 82 = 4674$
The answer is $4674$
3. Drafting the response: "Ответ на ваш за... | 57 * 82 | 4674 | arithmetic | 3 | 1 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((sqrt(16) - 100) * sqrt(64)) + 22. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $sqrt(16) = 4$
2. $sqrt(64) = 8$
3. $4 - 100 = -96$... | ((sqrt(16) - 100) * sqrt(64)) + 22 | -796 | power | 5 | 6 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: 67 + 21. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $67 + 21 = 88$
The answer is $88$
3. Drafting the response: "Ответ на ваш запрос... | 67 + 21 | 88 | arithmetic | 2 | 1 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((73 / cos(0)) - 75) + 24. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $cos(0) = 1$
2. $73 / 1 = 73$
3. $73 - 75 = -2$
4. $-2 + 2... | ((73 / cos(0)) - 75) + 24 | 22 | trig | 1 | 4 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: (1 * 60) * 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. $1 * 60 = 60$
3. $60 * 0.577350269... | (1 * 60) * cot(60) | 34.641016151377556 | trig | 5 | 3 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: 86 * 79. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $86 * 79 = 6794$
The answer is $6794$
3. Drafting the response: "Ответ на ваш за... | 86 * 79 | 6794 | arithmetic | 2 | 1 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((13 * 6**2) - 97) - 42. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $6**2 = 36$
2. $13 * 36 = 468$
3. $468 - 97 = 371$
4. $371 -... | ((13 * 6**2) - 97) - 42 | 329 | power | 3 | 4 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: log(17, 2) / 59. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $log(17, 2) = 4.08746284125034$
2. $4.08746284125034 / 59 = 0.0692790312... | log(17, 2) / 59 | 0.06927903120763289 | log | 1 | 2 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((21 + 55) + csc(30)) + 32. 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. $sqrt(4) = 2$
3. $21 + 55... | ((21 + 55) + csc(30)) + 32 | 220 | mixed | 1 | 6 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((sin(90) - 18) - 31) + 35. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $sin(90) = 1$
2. $1 - 18 = -17$
3. $-17 - 31 = -48$
4. $-... | ((sin(90) - 18) - 31) + 35 | -13 | trig | 1 | 4 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((92 / sec(0)) / 8) / 25. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $sec(0) = 1$
2. $92 / 1 = 92$
3. $92 / 8 = 11.5$
4. $11.5 /... | ((92 / sec(0)) / 8) / 25 | 5.46 | trig | 3 | 5 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((log(22, 3) * 58) / 72) - 20. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $log(22, 3) = 2.8135880922155954$
2. $2.8135880922155954 *... | ((log(22, 3) * 58) / 72) - 20 | 9.266501518729228 | log | 3 | 5 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((90 - 3**3) * 25) + 55. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $3**3 = 27$
2. $90 - 27 = 63$
3. $63 * 25 = 1575$
4. $1575 +... | ((90 - 3**3) * 25) + 55 | 1630 | power | 5 | 4 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: (log(5, 2) * 50) / cbrt(8). This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $log(5, 2) = 2.321928094887362$
2. $cbrt(8) = 2$
3. $2.3219... | (log(5, 2) * 50) / cbrt(8) | 58.04820237218406 | mixed | 5 | 4 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((6 - 15) / 2**2) + 61. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $2**2 = 4$
2. $6 - 15 = -9$
3. $-9 / 4 = -2.25$
4. $-2.25 + 6... | ((6 - 15) / 2**2) + 61 | 16.75 | power | 1 | 5 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: 81 + tan(60). 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. $81 + 1.7320508075688767 = 82.73205080756... | 81 + tan(60) | 82.73205080756888 | trig | 2 | 2 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: log(50, 10) * 92. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $log(50, 10) = 1.6989700043360185$
2. $1.6989700043360185 * 92 = 156.30... | log(50, 10) * 92 | 156.3052403989137 | log | 4 | 2 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((19 * sqrt(16)) + 8) * 46. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $sqrt(16) = 4$
2. $19 * 4 = 76$
3. $76 + 8 = 84$
4. $84 *... | ((19 * sqrt(16)) + 8) * 46 | 3779 | power | 1 | 5 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((14 - 28) * cos(270)) + 91. 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. $14 - 28 = -14$
3.... | ((14 - 28) * cos(270)) + 91 | 91 | trig | 1 | 4 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: 23 + 1. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $23 + 1 = 24$
The answer is $24$
3. Drafting the response: "Ответ на ваш запрос в... | 23 + 1 | 24 | arithmetic | 5 | 1 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: cos(0) + 94. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $cos(0) = 1$
2. $1 + 94 = 95$
The answer is $95$
3. Drafting the response:... | cos(0) + 94 | 95 | trig | 4 | 2 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((32 - sin(0)) + csc(90)) / 90. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $sin(0) = 0$
2. $csc(90) = 1$
3. $32 - 0 = 32$
4. $32... | ((32 - sin(0)) + csc(90)) / 90 | 0.36666666666666664 | trig | 1 | 5 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((7 - 55) * 23) / 89. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $7 - 55 = -48$
2. $-48 * 23 = -1104$
3. $-1104 / 89 = -12.4044943... | ((7 - 55) * 23) / 89 | -111.40449438202248 | arithmetic | 5 | 4 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: tan(45) - 57. 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. $0.9999999999999999 - 57 = -56$
The ans... | tan(45) - 57 | -56 | trig | 5 | 2 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: (sqrt(9) * sin(30)) + 24. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $sqrt(9) = 3$
2. $sin(30) = 0.49999999999999994$
3. $3 * 0.49... | (sqrt(9) * sin(30)) + 24 | 25.5 | mixed | 1 | 4 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: 31 * cbrt(8). This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $cbrt(8) = 2$
2. $31 * 2 = 62$
The answer is $62$
3. Drafting the respons... | 31 * cbrt(8) | 62 | power | 2 | 2 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: 100 / sqrt(9). This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $sqrt(9) = 3$
2. $100 / 3 = 33.333333333333336$
The answer is $33.333333... | 100 / sqrt(9) | 33.333333333333336 | power | 4 | 2 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((53 / 27) / 57) - 10. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $53 / 27 = 1.962962962962963$
2. $1.962962962962963 / 57 = 0.03443... | ((53 / 27) / 57) - 10 | 79.03443794671865 | arithmetic | 2 | 4 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((46 - tan(0)) * csc(90)) + 46. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $tan(0) = 0$
2. $csc(90) = 1$
3. $46 - 0 = 46$
4. $46... | ((46 - tan(0)) * csc(90)) + 46 | 38 | trig | 1 | 6 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((20 + 16) / 32) + 14. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $log(39, 2) = 5.285402218862249$
2. $20 + 16 = 36$
3. $36 / 32 =... | ((20 + 16) / 32) + 14 | 20.41040221886225 | log | 5 | 5 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((sin(45) - 31) - cot(30)) + 12. 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. $cot(30) = 1.732050807... | ((sin(45) - 31) - cot(30)) + 12 | -19.02494402638233 | trig | 5 | 7 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((45 * 26) + 6**4) / 78. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $6**4 = 1296$
2. $45 * 26 = 1170$
3. $1170 + 1296 = 2466$
4.... | ((45 * 26) + 6**4) / 78 | 600.6923076923077 | power | 1 | 5 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: (cbrt(216) + sin(60)) * 100. 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. $sin(60) = 0.866025403784... | (cbrt(216) + sin(60)) * 100 | 686.6025403784438 | mixed | 3 | 4 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: 64 / 67. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $64 / 67 = 0.9552238805970149$
The answer is $0.9552238805970149$
3. Drafting th... | 64 / 67 | 0.9552238805970149 | arithmetic | 1 | 1 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: (46 * cos(60)) + 32. 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. $46 * 0.5000000000000001 = 23.0000... | (46 * cos(60)) + 32 | 55 | trig | 2 | 3 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((sin(45) + sqrt(64)) * 28) + sin(270). This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $sin(45) = 0.7071067811865476$
2. $sqrt(64) = 8$
... | ((sin(45) + sqrt(64)) * 28) + sin(270) | 2.477540712992075 | mixed | 5 | 7 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((6**3 + sqrt(49)) / 100) - 96. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $6**3 = 216$
2. $sqrt(49) = 7$
3. $216 + 7 = 223$
4. ... | ((6**3 + sqrt(49)) / 100) - 96 | -3281.95 | power | 2 | 6 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((sqrt(25) + 57) - 80) + 34. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $sqrt(25) = 5$
2. $5 + 57 = 62$
3. $62 - 80 = -18$
4. $-... | ((sqrt(25) + 57) - 80) + 34 | 21 | power | 4 | 5 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: sin(270) * 33. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $sin(270) = -1$
2. $-1 * 33 = -33$
The answer is $-33$
3. Drafting the r... | sin(270) * 33 | -33 | trig | 5 | 2 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((100 - 32) - sin(30)) * cos(270). 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. $cos(270) = -1.8369... | ((100 - 32) - sin(30)) * cos(270) | -1.2399548841366951e-14 | trig | 2 | 5 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((45 * 100) / 59) * 31. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $45 * 100 = 4500$
2. $4500 / 59 = 76.27118644067797$
3. $76.271... | ((45 * 100) / 59) * 31 | 205703.38983050847 | arithmetic | 1 | 4 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((3 * 71) - 82) * 92. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $3 * 71 = 213$
2. $213 - 82 = 131$
3. $131 * 92 = 12052$
The an... | ((3 * 71) - 82) * 92 | 12052 | arithmetic | 5 | 3 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((46 * 53) * 92) * 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. $cos(180) = -1$
3. $46 * 53 = 2438$
4. $... | ((46 * 53) * 92) * sin(90) | 224297 | trig | 1 | 6 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: (cos(30) / 10) - 80. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $cos(30) = 0.8660254037844387$
2. $0.8660254037844387 / 10 = 0.08660... | (cos(30) / 10) - 80 | -79.91339745962155 | trig | 5 | 3 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: csc(60) * cos(90). 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. $cos(90) = 6.123233995736766e-17$
... | csc(60) * cos(90) | 7.07050159149938e-17 | trig | 1 | 3 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: (55 / sqrt(4)) + 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. $55... | (55 / sqrt(4)) + sin(360) | 27.5 | mixed | 2 | 4 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((cbrt(27) - csc(270)) + 17) / 77. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $cbrt(27) = 3$
2. $csc(270) = -1$
3. $3 - -1 = 4$
... | ((cbrt(27) - csc(270)) + 17) / 77 | 9.545454545454545 | mixed | 3 | 6 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: cot(225) + 77. 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. $1.0000000000000004 + 77 = 78$
The an... | cot(225) + 77 | 78 | trig | 3 | 2 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((sin(30) / 60) + 77) + 43. 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 / 60 ... | ((sin(30) / 60) + 77) + 43 | 120.00833333333334 | trig | 4 | 4 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((cbrt(8) / 9) - 24) - cos(90). This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $cbrt(8) = 2$
2. $cos(90) = 6.123233995736766e-17$
3. $... | ((cbrt(8) / 9) - 24) - cos(90) | -23.77777777777778 | mixed | 3 | 5 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: 2 + 88. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $2 + 88 = 90$
The answer is $90$
3. Drafting the response: "Ответ на ваш запрос в... | 2 + 88 | 90 | arithmetic | 5 | 1 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((cot(60) * 62) + 50) + 77. 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. $sec(0) = 1$
3. $0.5773502... | ((cot(60) * 62) + 50) + 77 | 161.7957166897568 | trig | 1 | 6 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((80 - sin(45)) + 4**3) * tan(180). 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. $4**3 = 64$
3. $t... | ((80 - sin(45)) + 4**3) * tan(180) | -1.7548318302098337e-14 | mixed | 3 | 6 |
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