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: ((29 / 53) + 94) / log(31, 2). This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $log(31, 2) = 4.954196310386876$
2. $29 / 53 = 0.547169811... | ((29 / 53) + 94) / log(31, 2) | 4.084259865337778 | log | 5 | 5 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((cos(360) - 24) - sec(0)) + log(39, 10). This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $cos(360) = 1$
2. $sec(0) = 1$
3. $log(39, 10... | ((cos(360) - 24) - sec(0)) + log(39, 10) | -22.4089353929735 | mixed | 4 | 6 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((2**4 - 89) / 74) + sqrt(81). This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $2**4 = 16$
2. $sqrt(81) = 9$
3. $16 - 89 = -73$
4. $-... | ((2**4 - 89) / 74) + sqrt(81) | 39.013513513513516 | power | 4 | 6 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((70 - sin(270)) * 68) * 30. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $sin(270) = -1$
2. $70 - -1 = 71$
3. $71 * 68 = 4828$
4.... | ((70 - sin(270)) * 68) * 30 | 8545560 | trig | 1 | 5 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: sec(360) * cos(30). This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $sec(360) = 1$
2. $cos(30) = 0.8660254037844387$
3. $1 * 0.86602540... | sec(360) * cos(30) | 0.8660254037844387 | trig | 1 | 3 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((cbrt(8) - 45) / 32) + 33. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $cbrt(8) = 2$
2. $2 - 45 = -43$
3. $-43 / 32 = -1.34375$
... | ((cbrt(8) - 45) / 32) + 33 | 31.65625 | power | 2 | 4 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((70 + tan(45)) / 29) / 22. 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. $70 + 0.9999999999999999 = ... | ((70 + tan(45)) / 29) / 22 | 0.11128526645768023 | trig | 3 | 4 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: (tan(225) * 89) + 38. 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 * 89 = 88.99... | (tan(225) * 89) + 38 | 126.99999999999997 | trig | 2 | 3 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((54 + 81) * cbrt(125)) / 96. 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. $54 + 81 = 135$
3. $13... | ((54 + 81) * cbrt(125)) / 96 | 7.031249999999999 | power | 4 | 4 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((24 / 2) - cot(270)) / 81. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $cot(270) = 1.83697019872103e-16$
2. $24 / 2 = 12$
3. $12 -... | ((24 / 2) - cot(270)) / 81 | 0.14814814814814814 | trig | 1 | 4 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: (48 * cos(30)) + 92. 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. $48 * 0.8660254037844387 = 41.5692... | (48 * cos(30)) + 92 | 133.56921938165306 | trig | 4 | 3 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((41 * 64) + 52) + 22. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $41 * 64 = 2624$
2. $2624 + 52 = 2676$
3. $2676 + 22 = 2698$
T... | ((41 * 64) + 52) + 22 | 2698 | arithmetic | 1 | 3 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: sqrt(9) - 88. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $sqrt(9) = 3$
2. $3 - 88 = -85$
The answer is $-85$
3. Drafting the respo... | sqrt(9) - 88 | -85 | power | 3 | 2 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: 37 * 49. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $37 * 49 = 1813$
The answer is $1813$
3. Drafting the response: "Ответ на ваш за... | 37 * 49 | 1813 | arithmetic | 2 | 1 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((51 + sin(45)) - log(15, 3)) + 22. 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(15, 3) = 2.464... | ((51 + sin(45)) - log(15, 3)) + 22 | 68.24213326046862 | mixed | 4 | 7 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((98 - cos(360)) * 7) / sin(30). This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $cos(360) = 1$
2. $sin(30) = 0.49999999999999994$
3. $... | ((98 - cos(360)) * 7) / sin(30) | 1358.0000000000002 | trig | 3 | 5 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: (cos(90) + 4) + 63. 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. $6.123233995736766e-17 + 4 = 4$
... | (cos(90) + 4) + 63 | 67 | trig | 1 | 3 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((cos(0) * csc(60)) * 20) / 74. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $cos(0) = 1$
2. $csc(60) = 1.1547005383792517$
3. $cos(... | ((cos(0) * csc(60)) * 20) / 74 | 0.2702702702702703 | trig | 5 | 7 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((tan(315) * 99) + 17) - log(9, 5). 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. $log(9, 5) = 1.36... | ((tan(315) * 99) + 17) - log(9, 5) | -1.0292001529502717 | mixed | 3 | 6 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: (10 * cbrt(64)) * cos(0). This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $cbrt(64) = 3.9999999999999996$
2. $cos(0) = 1$
3. $10 * 3.99... | (10 * cbrt(64)) * cos(0) | 39.99999999999999 | mixed | 5 | 4 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: (tan(30) / 90) - log(38, 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(38, 3) = 3.3110736128... | (tan(30) / 90) - log(38, 3) | -3.3046586098268365 | mixed | 4 | 4 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((88 + 55) * 22) + sin(60). 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. $sqrt(36) = 6$
3. $88 + 5... | ((88 + 55) * 22) + sin(60) | 3152.8660254037845 | mixed | 3 | 6 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: 50 - 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. $50 - 0.7071067811865476 = 49.29289321881... | 50 - sin(45) | 49.292893218813454 | trig | 5 | 2 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((2 + 53) + log(50, 5)) - 93. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $log(50, 5) = 2.4306765580733933$
2. $log(44, 2) = 5.459431... | ((2 + 53) + log(50, 5)) - 93 | -30.10989182328931 | log | 5 | 6 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((tan(135) - 22) - csc(30)) / log(34, 3). 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. $csc(30) = ... | ((tan(135) - 22) - csc(30)) / log(34, 3) | -7.788570404239168 | mixed | 4 | 6 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: 14 / 13. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $14 / 13 = 1.0769230769230769$
The answer is $1.0769230769230769$
3. Drafting th... | 14 / 13 | 1.0769230769230769 | arithmetic | 4 | 1 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((73 * 94) / 41) - 34. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $73 * 94 = 6862$
2. $6862 / 41 = 167.3658536585366$
3. $167.3658... | ((73 * 94) / 41) - 34 | 133.3658536585366 | arithmetic | 5 | 3 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: (30 - sin(30)) + sqrt(9). 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. $sqrt(9) = 3$
3. $30 - 0.4... | (30 - sin(30)) + sqrt(9) | 32.5 | mixed | 3 | 4 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((csc(45) - 100) / log(45, 3)) * 20. 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. $log(45, 3) = 3.464... | ((csc(45) - 100) / log(45, 3)) * 20 | -569.0420769345469 | mixed | 2 | 5 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: (tan(60) * 36) - 90. 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. $1.7320508075688767 * 36 = 62.3538... | (tan(60) * 36) - 90 | -27.646170927520437 | trig | 4 | 3 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: (sqrt(49) - 24) * 50. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $sqrt(49) = 7$
2. $7 - 24 = -17$
3. $-17 * 50 = -850$
The answe... | (sqrt(49) - 24) * 50 | -850 | power | 4 | 3 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((23 - 6**2) / 58) + 70. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $6**2 = 36$
2. $23 - 36 = -13$
3. $-13 / 58 = -0.2241379310344... | ((23 - 6**2) / 58) + 70 | 69.77586206896552 | power | 3 | 4 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((34 / 55) * 97) / 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. $sqrt(25) = 5$
3. $34 / 5... | ((34 / 55) * 97) / csc(30) | 5.996363636363634 | mixed | 1 | 6 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: (cbrt(8) / 31) / 77. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $cbrt(8) = 2$
2. $2 / 31 = 0.06451612903225806$
3. $0.064516129032... | (cbrt(8) / 31) / 77 | 0.0008378718056137411 | power | 3 | 3 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: 6**4 - log(26, 5). This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $6**4 = 1296$
2. $log(26, 5) = 2.0243691992404753$
3. $1296 - 2.0243... | 6**4 - log(26, 5) | 1293.9756308007595 | mixed | 4 | 3 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: (log(43, 5) - tan(60)) / 3. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $log(43, 5) = 2.336965027750064$
2. $tan(60) = 1.732050807568... | (log(43, 5) - tan(60)) / 3 | 0.20163807339372916 | mixed | 1 | 4 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: (3**4 * sqrt(49)) * 58. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $3**4 = 81$
2. $sqrt(49) = 7$
3. $81 * 7 = 567$
4. $567 * 58 ... | (3**4 * sqrt(49)) * 58 | 32886 | power | 3 | 4 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: sin(30) / 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 / 43 = 0.0116279069... | sin(30) / 43 | 0.011627906976744184 | trig | 3 | 2 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((sqrt(4) / 36) * 5**4) - 13. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $sqrt(4) = 2$
2. $5**4 = 625$
3. $2 / 36 = 0.055555555555... | ((sqrt(4) / 36) * 5**4) - 13 | 21.72222222222222 | power | 5 | 5 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((13 - sqrt(81)) * 82) / cos(180). This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $sqrt(81) = 9$
2. $cos(180) = -1$
3. $13 - 9 = 4$
... | ((13 - sqrt(81)) * 82) / cos(180) | -261 | mixed | 4 | 6 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((64 + 5) - cos(360)) * tan(225). This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $cos(360) = 1$
2. $tan(225) = 0.9999999999999997$
3. ... | ((64 + 5) - cos(360)) * tan(225) | 129.99999999999997 | trig | 5 | 6 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((46 + 60) - 80) * 96. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $46 + 60 = 106$
2. $106 - 80 = 26$
3. $26 * 96 = 2496$
The ans... | ((46 + 60) - 80) * 96 | 2496 | arithmetic | 1 | 3 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: (sin(180) * 68) * tan(60). 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. $tan(60) = 1.7320508075... | (sin(180) * 68) * tan(60) | 1.4423823246658727e-14 | trig | 5 | 4 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((sec(60) + cot(315)) - 86) / sin(30). 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. $cot(315) = -0.9... | ((sec(60) + cot(315)) - 86) / sin(30) | -161.00000000000003 | mixed | 3 | 8 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((6**4 + log(42, 3)) * 28) / 97. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $6**4 = 1296$
2. $log(42, 3) = 3.4021735027328797$
3. ... | ((6**4 + log(42, 3)) * 28) / 97 | 375.085163485325 | mixed | 1 | 5 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: (46 - 7) - 6. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $46 - 7 = 39$
2. $39 - 6 = 33$
The answer is $33$
3. Drafting the respons... | (46 - 7) - 6 | 33 | arithmetic | 4 | 2 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: 51 - 8. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $51 - 8 = 43$
The answer is $43$
3. Drafting the response: "Ответ на ваш запрос в... | 51 - 8 | 43 | arithmetic | 2 | 1 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((26 * 67) + 77) + 93. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $26 * 67 = 1742$
2. $1742 + 77 = 1819$
3. $1819 + 93 = 1912$
T... | ((26 * 67) + 77) + 93 | 1912 | arithmetic | 5 | 3 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((67 / 69) + 19) / 94. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $67 / 69 = 0.9710144927536232$
2. $0.9710144927536232 + 19 = 19.97... | ((67 / 69) + 19) / 94 | 2.549491211840888 | arithmetic | 1 | 4 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: tan(180) - sqrt(36). This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $tan(180) = -1.2246467991473532e-16$
2. $sqrt(36) = 6$
3. $-1.2246... | tan(180) - sqrt(36) | -6 | mixed | 3 | 3 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: 74 / 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. $74 / 6 = 12.333333333333334$
The answer is $12.333333... | 74 / sqrt(36) | 12.333333333333334 | power | 4 | 2 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((5**4 + log(39, 3)) / 73) * 5**3. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $5**4 = 625$
2. $log(39, 3) = 3.3347175194727923$
3.... | ((5**4 + log(39, 3)) / 73) * 5**3 | 1075.915612190878 | mixed | 1 | 6 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((3**3 * 6**2) + 20) / sec(60). This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $3**3 = 27$
2. $6**2 = 36$
3. $sec(60) = 1.999999999999... | ((3**3 * 6**2) + 20) / sec(60) | 36704.00000000001 | mixed | 4 | 7 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: 90 + 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. $90 + 8 = 98$
The answer is $98$
3. Drafting the respo... | 90 + sqrt(64) | 98 | power | 1 | 2 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: sqrt(81) - cbrt(8). This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $sqrt(81) = 9$
2. $cbrt(8) = 2$
3. $9 - 2 = 7$
The answer is $7$
... | sqrt(81) - cbrt(8) | 7 | power | 5 | 3 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: 65 - 72. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $65 - 72 = -7$
The answer is $-7$
3. Drafting the response: "Ответ на ваш запрос... | 65 - 72 | -7 | arithmetic | 4 | 1 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((cbrt(8) + cbrt(125)) - 56) + 35. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $cbrt(8) = 2$
2. $cbrt(125) = 4.999999999999999$
3. ... | ((cbrt(8) + cbrt(125)) - 56) + 35 | -15.602059991327963 | mixed | 2 | 7 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((tan(30) + 34) - 26) + sin(45). 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. $sin(45) = 0.707106781... | ((tan(30) + 34) - 26) + sin(45) | -89.71554294962382 | trig | 5 | 6 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: 47 * cos(45). This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $cos(45) = 0.7071067811865476$
2. $47 * 0.7071067811865476 = 33.23401871576... | 47 * cos(45) | 33.23401871576774 | trig | 4 | 2 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((cos(360) - 56) - 34) - tan(60). This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $cos(360) = 1$
2. $tan(60) = 1.7320508075688767$
3. $... | ((cos(360) - 56) - 34) - tan(60) | -90.73205080756888 | trig | 1 | 5 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: (73 - 93) / cbrt(64). This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $cbrt(64) = 3.9999999999999996$
2. $73 - 93 = -20$
3. $-20 / 3.99... | (73 - 93) / cbrt(64) | -5.000000000000001 | power | 2 | 3 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: (38 + 55) * tan(45). 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. $38 + 55 = 93$
3. $93 * 0.999999... | (38 + 55) * tan(45) | 92.99999999999999 | trig | 4 | 3 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((6 / 41) * cot(30)) * 92. 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. $6 / 41 = 0.1463414634146341... | ((6 / 41) * cot(30)) * 92 | 23.319318189707815 | trig | 1 | 4 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: (cos(360) + sin(90)) - 86. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $cos(360) = 1$
2. $sin(90) = 1$
3. $1 + 1 = 2$
4. $2 - 86 ... | (cos(360) + sin(90)) - 86 | -84 | trig | 5 | 4 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((log(45, 5) - 21) + csc(270)) - 10. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $log(45, 5) = 2.3652123889719707$
2. $csc(270) = -1$... | ((log(45, 5) - 21) + csc(270)) - 10 | -34.63478761102803 | mixed | 5 | 7 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: (71 * 40) + 57. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $71 * 40 = 2840$
2. $2840 + 57 = 2897$
The answer is $2897$
3. Drafting... | (71 * 40) + 57 | 2897 | arithmetic | 1 | 2 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: (79 + 63) + 65. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $79 + 63 = 142$
2. $142 + 65 = 207$
The answer is $207$
3. Drafting the... | (79 + 63) + 65 | 207 | arithmetic | 2 | 2 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((cos(360) / log(48, 5)) / 77) + 39. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $cos(360) = 1$
2. $log(48, 5) = 2.405312426779558$
... | ((cos(360) / log(48, 5)) / 77) + 39 | 39.005399303991624 | mixed | 4 | 5 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((46 / 72) * 71) / 80. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $46 / 72 = 0.6388888888888888$
2. $0.6388888888888888 * 71 = 45.36... | ((46 / 72) * 71) / 80 | 0.056701388888888885 | arithmetic | 5 | 4 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: 81 * 6. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $81 * 6 = 486$
The answer is $486$
3. Drafting the response: "Ответ на ваш запрос... | 81 * 6 | 486 | arithmetic | 2 | 1 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: cot(225) * log(21, 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. $log(21, 3) = 2.771243749161422... | cot(225) * log(21, 3) | 2.7712437491614232 | mixed | 3 | 3 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: (36 / log(14, 3)) / 4. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $log(14, 3) = 2.402173502732879$
2. $36 / 2.402173502732879 = 14.9... | (36 / log(14, 3)) / 4 | 3.7466069747921935 | log | 3 | 3 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((82 + 13) / cot(45)) - 44. 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. $82 + 13 = 95$
3. $95 / 1... | ((82 + 13) / cot(45)) - 44 | 50.999999999999986 | trig | 4 | 4 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: cbrt(27) * log(18, 3). This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $cbrt(27) = 3$
2. $log(18, 3) = 2.630929753571457$
3. $3 * 2.630... | cbrt(27) * log(18, 3) | 7.892789260714371 | mixed | 4 | 3 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((13 + 69) + log(20, 2)) * cbrt(125). This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $log(20, 2) = 4.321928094887363$
2. $cbrt(125) = 4.... | ((13 + 69) + log(20, 2)) * cbrt(125) | 431.6096404744368 | mixed | 2 | 5 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((37 + 52) + 18) / 3. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $37 + 52 = 89$
2. $89 + 18 = 107$
3. $107 / 3 = 35.66666666666666... | ((37 + 52) + 18) / 3 | 75.66666666666666 | arithmetic | 3 | 4 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: 31 / 58. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $31 / 58 = 0.5344827586206896$
The answer is $0.5344827586206896$
3. Drafting th... | 31 / 58 | 0.5344827586206896 | arithmetic | 2 | 1 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: (36 - 7) + cos(60). 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. $36 - 7 = 29$
3. $29 + 0.50000000... | (36 - 7) + cos(60) | 29.5 | trig | 5 | 3 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((cos(90) + 96) + sqrt(64)) / cos(60). 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. $sqrt(64) = 8... | ((cos(90) + 96) + sqrt(64)) / cos(60) | 207.99999999999994 | mixed | 3 | 6 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: (sqrt(100) / sin(90)) * 3. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $sqrt(100) = 10$
2. $sin(90) = 1$
3. $10 / 1 = 10$
4. $10 ... | (sqrt(100) / sin(90)) * 3 | 30 | mixed | 1 | 4 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((62 / 28) + cos(360)) + 86. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $cos(360) = 1$
2. $62 / 28 = 2.2142857142857144$
3. $2.214... | ((62 / 28) + cos(360)) + 86 | 2.7034632034632033 | trig | 4 | 5 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((cos(60) / 36) * 72) - 52. 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. $sqrt(36) = 6$
3. $0.5000... | ((cos(60) / 36) * 72) - 52 | -8.5 | mixed | 2 | 6 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((53 - sec(240)) / 87) - log(46, 2). 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. $log(46, 2) = 5.... | ((53 - sec(240)) / 87) - log(46, 2) | -4.8913780480110365 | mixed | 1 | 5 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((89 - 5**3) * csc(30)) + 28. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $5**3 = 125$
2. $csc(30) = 2.0000000000000004$
3. $csc(45... | ((89 - 5**3) * csc(30)) + 28 | -31.112698372208104 | mixed | 1 | 7 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: 20 - 42. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $20 - 42 = -22$
The answer is $-22$
3. Drafting the response: "Ответ на ваш запр... | 20 - 42 | -22 | arithmetic | 5 | 1 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((40 / 70) * log(10, 2)) * 62. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $log(10, 2) = 3.3219280948873626$
2. $sin(90) = 1$
3. $4... | ((40 / 70) * log(10, 2)) * 62 | 117.69116679029513 | mixed | 3 | 6 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((41 * 49) + 76) / 88. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $41 * 49 = 2009$
2. $2009 + 76 = 2085$
3. $2085 / 88 = 23.693181... | ((41 * 49) + 76) / 88 | -15.306818181818183 | arithmetic | 5 | 4 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: 81 * 96. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $81 * 96 = 7776$
The answer is $7776$
3. Drafting the response: "Ответ на ваш за... | 81 * 96 | 7776 | arithmetic | 3 | 1 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: 3**3 / sqrt(25). This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $3**3 = 27$
2. $sqrt(25) = 5$
3. $27 / 5 = 5.4$
The answer is $5.4$
... | 3**3 / sqrt(25) | 5.4 | power | 5 | 3 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((cot(45) - tan(225)) / 25) + 85. 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. $tan(225) = 0.9999999... | ((cot(45) - tan(225)) / 25) + 85 | 78 | mixed | 2 | 7 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((34 * 58) - 100) / 50. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $34 * 58 = 1972$
2. $1972 - 100 = 1872$
3. $1872 / 50 = 37.44$
... | ((34 * 58) - 100) / 50 | 37.44 | arithmetic | 3 | 3 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: (sqrt(100) / 59) - 41. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $sqrt(100) = 10$
2. $10 / 59 = 0.1694915254237288$
3. $0.1694915... | (sqrt(100) / 59) - 41 | -40.83050847457627 | power | 3 | 3 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((62 / 47) + 68) * 5**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. $62 / 47 = 1.3191489361702127$
3. $1.3191489361... | ((62 / 47) + 68) * 5**2 | 1732.978723404255 | power | 2 | 4 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((sin(60) / log(31, 3)) + 100) - sqrt(25). 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(31, 3) ... | ((sin(60) / log(31, 3)) + 100) - sqrt(25) | 47.63853082353564 | mixed | 3 | 7 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: (log(4, 2) - 81) * 42. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $log(4, 2) = 2$
2. $2 - 81 = -79$
3. $-79 * 42 = -3318$
The an... | (log(4, 2) - 81) * 42 | -3318 | log | 1 | 3 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: (sqrt(25) + cbrt(216)) / 15. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $sqrt(25) = 5$
2. $cbrt(216) = 5.999999999999999$
3. $5 + ... | (sqrt(25) + cbrt(216)) / 15 | 0.7333333333333333 | power | 4 | 4 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((log(30, 3) / 84) * 5**4) * cos(60). This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $log(30, 3) = 3.0959032742893844$
2. $5**4 = 625$
... | ((log(30, 3) / 84) * 5**4) * cos(60) | 0.37153217097366853 | mixed | 4 | 7 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((93 * sqrt(25)) * 42) / 2**3. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $sqrt(25) = 5$
2. $2**3 = 8$
3. $93 * 5 = 465$
4. $465... | ((93 * sqrt(25)) * 42) / 2**3 | 2390.25 | power | 1 | 6 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((log(50, 2) - 76) - 24) + log(11, 5). This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $log(50, 2) = 5.643856189774724$
2. $log(11, 5) = ... | ((log(50, 2) - 76) - 24) + log(11, 5) | -92.86624770782029 | log | 3 | 5 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((cot(225) * 80) * 30) + 48. 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 * 80 ... | ((cot(225) * 80) * 30) + 48 | 2482.000000000001 | trig | 2 | 5 |
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