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: 10 / 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. $10 / 1.1547005383792517 = 8.660254037844... | 10 / csc(60) | 8.660254037844386 | trig | 2 | 2 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((41 * 76) + 53) * sin(45). 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. $41 * 76 = 3116$
3. $3116... | ((41 * 76) + 53) * sin(45) | 2240.821389580169 | trig | 1 | 4 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: sin(0) - 72. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $sin(0) = 0$
2. $0 - 72 = -72$
The answer is $-72$
3. Drafting the respons... | sin(0) - 72 | -72 | trig | 5 | 2 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((cot(225) / tan(135)) / sqrt(64)) - log(44, 3). 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. $tan(... | ((cot(225) / tan(135)) / sqrt(64)) - log(44, 3) | -29.569517845787054 | mixed | 1 | 8 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: 86 - 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. $86 - 4 = 82$
The answer is $82$
3. Drafting the respo... | 86 - sqrt(16) | 82 | power | 3 | 2 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((sin(60) / 31) * log(27, 5)) / 81. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $sin(60) = 0.8660254037844386$
2. $log(27, 5) = 2.047... | ((sin(60) / 31) * log(27, 5)) / 81 | 0.0007062775450483686 | mixed | 4 | 5 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((88 / log(24, 2)) - 69) - 2**2. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $log(24, 2) = 4.584962500721157$
2. $2**2 = 4$
3. $cos... | ((88 / log(24, 2)) - 69) - 2**2 | -3.2947176354221633e-15 | mixed | 2 | 7 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((cos(0) - tan(315)) - csc(210)) * 76. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $cos(0) = 1$
2. $tan(315) = -1.0000000000000004$
... | ((cos(0) - tan(315)) - csc(210)) * 76 | 304 | trig | 2 | 6 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: 98 + 73. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $98 + 73 = 171$
The answer is $171$
3. Drafting the response: "Ответ на ваш запр... | 98 + 73 | 171 | arithmetic | 4 | 1 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((82 * 89) + 99) * sec(180). This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $sec(180) = -1$
2. $82 * 89 = 7298$
3. $7298 + 99 = 7397$
... | ((82 * 89) + 99) * sec(180) | -7397 | trig | 3 | 4 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((47 / 79) + 94) / log(36, 5). 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. $cbrt(8) = 2$
3. $47... | ((47 / 79) + 94) / log(36, 5) | 44.48468616413574 | mixed | 5 | 6 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((53 * 84) - 75) + 47. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $53 * 84 = 4452$
2. $4452 - 75 = 4377$
3. $4377 + 47 = 4424$
T... | ((53 * 84) - 75) + 47 | 4424 | arithmetic | 1 | 3 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((tan(45) + 50) - 6**4) - 5**4. 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. $6**4 = 1296$
3. $5**... | ((tan(45) + 50) - 6**4) - 5**4 | -1870 | mixed | 5 | 6 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: (cbrt(27) - 89) + 66. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $cbrt(27) = 3$
2. $3 - 89 = -86$
3. $-86 + 66 = -20$
The answer... | (cbrt(27) - 89) + 66 | -20 | power | 1 | 3 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((log(5, 5) * 52) - 93) / 53. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $log(5, 5) = 1$
2. $log(50, 5) = 2.4306765580733933$
3. $... | ((log(5, 5) * 52) - 93) / 53 | 1.657091652413016 | log | 1 | 6 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((6**2 / 32) * tan(60)) - 2. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $6**2 = 36$
2. $tan(60) = 1.7320508075688767$
3. $cos(90) ... | ((6**2 / 32) * tan(60)) - 2 | -3.1499655581833325e-18 | mixed | 1 | 7 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((46 / 49) / cbrt(216)) - sin(45). 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(45) = 0.707106... | ((46 / 49) / cbrt(216)) - sin(45) | -4.5506441961525335 | mixed | 4 | 7 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: (27 + cos(360)) / 53. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $cos(360) = 1$
2. $27 + 1 = 28$
3. $28 / 53 = 0.5283018867924528$... | (27 + cos(360)) / 53 | 0.5283018867924528 | trig | 2 | 3 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((log(23, 3) / 3**3) * 99) * tan(30). This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $log(23, 3) = 2.854049830200271$
2. $3**3 = 27$
3... | ((log(23, 3) / 3**3) * 99) * tan(30) | 97.04188360507135 | mixed | 3 | 7 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: tan(60) * log(50, 5). 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. $log(50, 5) = 2.4306765580733933$... | tan(60) * log(50, 5) | 4.2100552953497585 | mixed | 1 | 3 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((tan(315) * 60) * 23) * tan(0). 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. $tan(0) = 0$
3. $-... | ((tan(315) * 60) * 23) * tan(0) | 0 | trig | 3 | 5 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: 4**4 + log(47, 5). This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $4**4 = 256$
2. $log(47, 5) = 2.392231208153366$
3. $256 + 2.3922312... | 4**4 + log(47, 5) | 258.39223120815336 | mixed | 4 | 3 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: (28 / 3**4) / 10. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $3**4 = 81$
2. $28 / 81 = 0.345679012345679$
3. $0.345679012345679 / ... | (28 / 3**4) / 10 | 0.0345679012345679 | power | 3 | 3 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: (93 / sin(30)) - 4**4. 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. $4**4 = 256$
3. $93 / 0.49999... | (93 / sin(30)) - 4**4 | -69.99999999999997 | mixed | 2 | 4 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((56 * 30) + 29) + 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. $56 * 30 = 1680$
3. $1680 + 29 = 1709$
... | ((56 * 30) + 29) + cos(180) | 1708 | trig | 5 | 4 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((56 / 63) * log(5, 5)) - sqrt(36). This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $log(5, 5) = 1$
2. $sqrt(36) = 6$
3. $56 / 63 = 0.8... | ((56 / 63) * log(5, 5)) - sqrt(36) | 66.88888888888889 | mixed | 2 | 6 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: (35 / 40) - 13. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $35 / 40 = 0.875$
2. $0.875 - 13 = -12.125$
The answer is $-12.125$
3. ... | (35 / 40) - 13 | -12.125 | arithmetic | 5 | 2 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: sec(240) + 96. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $sec(240) = -1.9999999999999982$
2. $-1.9999999999999982 + 96 = 94$
The ... | sec(240) + 96 | 94 | trig | 2 | 2 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((27 + log(42, 3)) - sqrt(49)) * 95. 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. $sqrt(49) = 7$
... | ((27 + log(42, 3)) - sqrt(49)) * 95 | 2223.2064827596237 | mixed | 3 | 5 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: (13 / log(27, 5)) / 81. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $log(27, 5) = 2.047818583457956$
2. $13 / 2.047818583457956 = 6.3... | (13 / log(27, 5)) / 81 | 0.07837306900960103 | log | 5 | 3 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((70 - 35) / log(22, 10)) + 3**2. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $log(22, 10) = 1.3424226808222062$
2. $3**2 = 9$
3. $... | ((70 - 35) / log(22, 10)) + 3**2 | 35.07226509206714 | mixed | 1 | 5 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: (91 / 12) - 54. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $91 / 12 = 7.583333333333333$
2. $7.583333333333333 - 54 = -46.4166666666... | (91 / 12) - 54 | -46.416666666666664 | arithmetic | 3 | 2 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: (89 * 63) + 4. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $89 * 63 = 5607$
2. $5607 + 4 = 5611$
The answer is $5611$
3. Drafting t... | (89 * 63) + 4 | 5611 | arithmetic | 3 | 2 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((13 + 95) * 73) + 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. $13 + 95 = 108$
3. $108 * ... | ((13 + 95) * 73) + csc(45) | 7885.414213562373 | trig | 1 | 4 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((91 - 94) * sqrt(36)) + cbrt(125). This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $sqrt(36) = 6$
2. $cbrt(125) = 4.999999999999999$
3... | ((91 - 94) * sqrt(36)) + cbrt(125) | 25 | power | 4 | 6 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: log(2, 5) - 60. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $log(2, 5) = 0.43067655807339306$
2. $0.43067655807339306 - 60 = -59.5693... | log(2, 5) - 60 | -59.569323441926606 | log | 4 | 2 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: 67 + 34. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $67 + 34 = 101$
The answer is $101$
3. Drafting the response: "Ответ на ваш запр... | 67 + 34 | 101 | arithmetic | 2 | 1 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((sqrt(25) + 15) - 33) / tan(315). This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $sqrt(25) = 5$
2. $tan(315) = -1.0000000000000004$
3... | ((sqrt(25) + 15) - 33) / tan(315) | 623.9999999999998 | mixed | 3 | 6 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: cos(0) * 14. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $cos(0) = 1$
2. $1 * 14 = 14$
The answer is $14$
3. Drafting the response:... | cos(0) * 14 | 14 | trig | 1 | 2 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((3**3 * 72) * 48) - cos(180). This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $3**3 = 27$
2. $cos(180) = -1$
3. $27 * 72 = 1944$
4. ... | ((3**3 * 72) * 48) - cos(180) | 93313 | mixed | 4 | 5 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: (sin(360) / log(25, 2)) * 13. 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. $log(25, 2) = 4.643... | (sin(360) / log(25, 2)) * 13 | -6.85654668806094e-16 | mixed | 3 | 4 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((77 / 60) - 30) - 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. $77 / 60 = 1.2833333333333334$
3. $1.283... | ((77 / 60) - 30) - sqrt(64) | -36.71666666666667 | power | 3 | 4 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: sec(120) - cos(90). 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. $cos(90) = 6.123233995736766e-17$
... | sec(120) - cos(90) | -2.000000000000001 | trig | 4 | 3 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((28 * tan(30)) / 25) + 56. 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. $28 * 0.5773502691896257 = ... | ((28 * tan(30)) / 25) + 56 | 3058.9181442805884 | trig | 1 | 5 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: 18 * 98. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $18 * 98 = 1764$
The answer is $1764$
3. Drafting the response: "Ответ на ваш за... | 18 * 98 | 1764 | arithmetic | 2 | 1 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((sec(360) + cbrt(27)) + 58) + 19. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $sec(360) = 1$
2. $cbrt(27) = 3$
3. $1 + 3 = 4$
4.... | ((sec(360) + cbrt(27)) + 58) + 19 | 81 | mixed | 5 | 5 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: cos(180) - tan(315). This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $cos(180) = -1$
2. $tan(315) = -1.0000000000000004$
3. $-1 - -1.00... | cos(180) - tan(315) | 4.440892098500626e-16 | trig | 3 | 3 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: 96 * 69. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $96 * 69 = 6624$
The answer is $6624$
3. Drafting the response: "Ответ на ваш за... | 96 * 69 | 6624 | arithmetic | 4 | 1 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: 83 / 25. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $83 / 25 = 3.32$
The answer is $3.32$
3. Drafting the response: "Ответ на ваш за... | 83 / 25 | 3.32 | arithmetic | 5 | 1 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((82 + 54) / 53) - sec(120). This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $sec(120) = -2.000000000000001$
2. $82 + 54 = 136$
3. $136... | ((82 + 54) / 53) - sec(120) | 4.566037735849058 | trig | 2 | 4 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: (tan(45) / 71) / sqrt(100). 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. $sqrt(100) = 10$
3. $0.99... | (tan(45) / 71) / sqrt(100) | 0.001408450704225352 | mixed | 3 | 4 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((17 - 46) - 91) - 50. 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. $17 - 46 = -29$
3. $-29 - 91 = ... | ((17 - 46) - 91) - 50 | -170.57735026918962 | trig | 4 | 5 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((55 - 1) - 11) + 11. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $55 - 1 = 54$
2. $54 - 11 = 43$
3. $43 + 11 = 54$
The answer is... | ((55 - 1) - 11) + 11 | 54 | arithmetic | 4 | 3 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: (7 * 25) / 57. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $7 * 25 = 175$
2. $175 / 57 = 3.0701754385964914$
The answer is $3.07017... | (7 * 25) / 57 | 3.0701754385964914 | arithmetic | 3 | 2 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: log(19, 2) + 26. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $log(19, 2) = 4.247927513443585$
2. $4.247927513443585 + 26 = 30.2479275... | log(19, 2) + 26 | 30.247927513443585 | log | 5 | 2 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: 34 + sqrt(49). This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $sqrt(49) = 7$
2. $34 + 7 = 41$
The answer is $41$
3. Drafting the respo... | 34 + sqrt(49) | 41 | power | 2 | 2 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: (48 * log(45, 10)) - log(22, 5). This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $log(45, 10) = 1.6532125137753435$
2. $log(22, 5) = 1.92... | (48 * log(45, 10)) - log(22, 5) | 77.43362800073811 | log | 1 | 4 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((67 + sin(360)) + cot(30)) * 12. 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. $cot(30) = 1.73... | ((67 + sin(360)) + cot(30)) * 12 | 828.7846096908265 | mixed | 3 | 7 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((11 + 85) - 83) * 19. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $11 + 85 = 96$
2. $96 - 83 = 13$
3. $13 * 19 = 247$
4. $247 + ... | ((11 + 85) - 83) * 19 | 263 | arithmetic | 5 | 4 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((cos(60) - 54) - cot(270)) + log(23, 5). 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. $cot(270) = 1... | ((cos(60) - 54) - cot(270)) + log(23, 5) | -4691.21451949456 | mixed | 4 | 7 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: 5 / 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. $5 / 6 = 0.8333333333333334$
The answer is $0.833333333... | 5 / sqrt(36) | 0.8333333333333334 | power | 1 | 2 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((94 - tan(135)) - 17) / 33. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $tan(135) = -1.0000000000000002$
2. $94 - -1.000000000000000... | ((94 - tan(135)) - 17) / 33 | 96.36363636363636 | trig | 1 | 5 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((66 + sin(45)) + 79) - 100. 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. $66 + 0.7071067811865476 =... | ((66 + sin(45)) + 79) - 100 | 45.70710678118655 | trig | 5 | 4 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: sin(60) - 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. $0.8660254037844386 - 92 = -91.1339745962... | sin(60) - 92 | -91.13397459621557 | trig | 4 | 2 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((23 * 55) + tan(60)) / log(10, 3). 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(10, 3) = 2.095... | ((23 * 55) + tan(60)) / log(10, 3) | 604.3847854749183 | mixed | 3 | 5 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((57 + 36) * 5**2) + log(15, 2). This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $5**2 = 25$
2. $log(15, 2) = 3.9068905956085187$
3. $5... | ((57 + 36) * 5**2) + log(15, 2) | 2328.9068905956087 | mixed | 2 | 5 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: 29 + 99. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $29 + 99 = 128$
The answer is $128$
3. Drafting the response: "Ответ на ваш запр... | 29 + 99 | 128 | arithmetic | 3 | 1 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((87 + log(28, 10)) * sqrt(25)) / 29. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $log(28, 10) = 1.447158031342219$
2. $sqrt(25) = 5$... | ((87 + log(28, 10)) * sqrt(25)) / 29 | 15.24951000540383 | mixed | 4 | 5 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((22 + 92) - sqrt(49)) + 70. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $sqrt(49) = 7$
2. $sqrt(9) = 3$
3. $22 + 92 = 114$
4. $1... | ((22 + 92) - sqrt(49)) + 70 | 531 | power | 2 | 6 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: (sin(180) - 12) - 62. 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. $1.2246467991473532e-16 - 12... | (sin(180) - 12) - 62 | -74 | trig | 3 | 3 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: sqrt(49) * sqrt(81). This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $sqrt(49) = 7$
2. $sqrt(81) = 9$
3. $7 * 9 = 63$
The answer is $... | sqrt(49) * sqrt(81) | 63 | power | 2 | 3 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: (csc(270) - 60) + sqrt(16). This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $csc(270) = -1$
2. $sqrt(16) = 4$
3. $-1 - 60 = -61$
4. $... | (csc(270) - 60) + sqrt(16) | -57 | mixed | 4 | 4 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((61 * 83) / 99) * 66. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $61 * 83 = 5063$
2. $5063 / 99 = 51.14141414141414$
3. $51.14141... | ((61 * 83) / 99) * 66 | 3375.333333333333 | arithmetic | 5 | 3 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((sqrt(16) * cot(270)) * cbrt(125)) - sin(60). This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $sqrt(16) = 4$
2. $cot(270) = 1.8369701987... | ((sqrt(16) * cot(270)) * cbrt(125)) - sin(60) | -0.013968151673942499 | mixed | 4 | 8 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: log(22, 3) * 68. 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 * 68 = 191.3239... | log(22, 3) * 68 | 191.3239902706605 | log | 3 | 2 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: (83 + 77) * tan(0). This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $tan(0) = 0$
2. $83 + 77 = 160$
3. $160 * 0 = 0$
The answer is $0... | (83 + 77) * tan(0) | 0 | trig | 4 | 3 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: sqrt(16) - sec(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. $sec(0) = 1$
3. $4 - 1 = 3$
The answer is $3$
3.... | sqrt(16) - sec(0) | 3 | mixed | 5 | 3 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: (69 * 46) + 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. $69 * 46 = 3174$
3. $3174 + 4 = 3178$
The ans... | (69 * 46) + sqrt(16) | 3178 | power | 3 | 3 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((cos(180) * 11) / 3) - 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. $cos(180) = -1$
3. $-1 * 11 = -11$... | ((cos(180) * 11) / 3) - cos(180) | 84.33333333333333 | trig | 1 | 6 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((67 / sqrt(4)) + 57) + 58. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $sqrt(4) = 2$
2. $sqrt(25) = 5$
3. $67 / 2 = 33.5$
4. $33... | ((67 / sqrt(4)) + 57) + 58 | 143.5 | power | 1 | 6 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: sqrt(49) / sin(90). This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $sqrt(49) = 7$
2. $sin(90) = 1$
3. $7 / 1 = 7$
The answer is $7$
... | sqrt(49) / sin(90) | 7 | mixed | 4 | 3 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: (72 / 50) * 1. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $72 / 50 = 1.44$
2. $1.44 * 1 = 1.44$
The answer is $1.44$
3. Drafting t... | (72 / 50) * 1 | 1.44 | arithmetic | 4 | 2 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((tan(45) - sec(240)) / 80) * 3. 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. $sec(240) = -1.9999999... | ((tan(45) - sec(240)) / 80) * 3 | 0.06495190528383285 | trig | 4 | 7 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: (33 * sqrt(49)) - sin(30). This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $sqrt(49) = 7$
2. $sin(30) = 0.49999999999999994$
3. $33 * 7... | (33 * sqrt(49)) - sin(30) | 230.5 | mixed | 1 | 4 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((34 - sin(360)) + 1) - 34. 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. $34 - -2.449293598294... | ((34 - sin(360)) + 1) - 34 | 37 | trig | 2 | 5 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((csc(30) + log(19, 10)) * cot(225)) - 77. 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. $log(19, 10)... | ((csc(30) + log(19, 10)) * cot(225)) - 77 | -5897.699711923774 | mixed | 1 | 7 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((95 - 4) - 72) * log(48, 3). This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $log(48, 3) = 3.5237190142858297$
2. $95 - 4 = 91$
3. $91... | ((95 - 4) - 72) * log(48, 3) | 66.95066127143076 | log | 5 | 4 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: (46 * tan(225)) - 97. 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. $46 * 0.9999999999999997 = 45.99... | (46 * tan(225)) - 97 | -51.000000000000014 | trig | 4 | 3 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((80 / 56) * 92) * 70. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $tan(0) = 0$
2. $80 / 56 = 1.4285714285714286$
3. $1.42857142857... | ((80 / 56) * 92) * 70 | 9200.000000000002 | trig | 4 | 5 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((4 / 21) + 16) - sin(270). This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $sin(270) = -1$
2. $4 / 21 = 0.19047619047619047$
3. $0.190... | ((4 / 21) + 16) - sin(270) | 17.19047619047619 | trig | 5 | 4 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((sin(0) * 17) / 22) * 35. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $sin(0) = 0$
2. $0 * 17 = 0$
3. $0 / 22 = 0$
4. $0 * 35 = ... | ((sin(0) * 17) / 22) * 35 | 0 | trig | 2 | 4 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: log(49, 5) - 6. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $log(49, 5) = 2.418123910244335$
2. $2.418123910244335 - 6 = -3.581876089... | log(49, 5) - 6 | -3.581876089755665 | log | 5 | 2 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((tan(135) + 75) - 25) + log(5, 10). This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $tan(135) = -1.0000000000000002$
2. $log(5, 10) = 0.... | ((tan(135) + 75) - 25) + log(5, 10) | 49.69897000433602 | mixed | 3 | 5 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: (54 * log(40, 5)) / sqrt(100). 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. $sqrt(100) = 10$
3. ... | (54 * log(40, 5)) / sqrt(100) | 12.376960240788968 | mixed | 5 | 4 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: (sqrt(4) + 95) + sin(270). This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $sqrt(4) = 2$
2. $sin(270) = -1$
3. $2 + 95 = 97$
4. $97 +... | (sqrt(4) + 95) + sin(270) | 96 | mixed | 4 | 4 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: cbrt(216) - 54. 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. $5.999999999999999 - 54 = -48$
The a... | cbrt(216) - 54 | -48 | power | 3 | 2 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((4 + sqrt(4)) - cbrt(8)) / cos(0). This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $sqrt(4) = 2$
2. $cbrt(8) = 2$
3. $cos(0) = 1$
4.... | ((4 + sqrt(4)) - cbrt(8)) / cos(0) | 19 | mixed | 2 | 7 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((92 - 77) / 85) + sec(60). 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. $92 - 77 = 15$
3. $15 / 8... | ((92 - 77) / 85) + sec(60) | 2.1764705882352935 | trig | 3 | 4 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((6 / 20) * log(4, 10)) + 94. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $log(4, 10) = 0.6020599913279623$
2. $6 / 20 = 0.3$
3. $0... | ((6 / 20) * log(4, 10)) + 94 | 140.18061799739837 | log | 1 | 5 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((5**2 * 79) / sqrt(100)) - 88. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $5**2 = 25$
2. $sqrt(100) = 10$
3. $25 * 79 = 1975$
4... | ((5**2 * 79) / sqrt(100)) - 88 | 109.5 | power | 1 | 5 |
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