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: ((91 - 62) + 27) - 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. $91 - 62 = 29$
3. $29 + 27 = 56$
4. $56 ... | ((91 - 62) + 27) - sqrt(9) | 53 | power | 1 | 4 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((log(22, 2) - 36) * 3**2) - cot(90). This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $log(22, 2) = 4.459431618637297$
2. $3**2 = 9$
3.... | ((log(22, 2) - 36) * 3**2) - cot(90) | -3.593229309269169 | mixed | 2 | 7 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((sec(60) * 68) + 80) - 48. 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. $1.9999999999999996 * 68 = ... | ((sec(60) * 68) + 80) - 48 | 167.99999999999997 | trig | 1 | 4 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: 14 / 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. $14 / 1 = 14$
The answer is $14$
3. Drafting the respo... | 14 / cos(360) | 14 | trig | 4 | 2 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((log(27, 5) - 78) - sin(180)) - 11. 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. $sin(180) = 1.22... | ((log(27, 5) - 78) - sin(180)) - 11 | -173.9043628330841 | mixed | 3 | 7 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: sec(360) - sqrt(16). This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $sec(360) = 1$
2. $sqrt(16) = 4$
3. $1 - 4 = -3$
The answer is $... | sec(360) - sqrt(16) | -3 | mixed | 4 | 3 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: 16 * 83. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $16 * 83 = 1328$
The answer is $1328$
3. Drafting the response: "Ответ на ваш за... | 16 * 83 | 1328 | arithmetic | 3 | 1 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: (6 - 64) * 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. $6 - 64 = -58$
3. $-58 * 6 = -348$
The answer ... | (6 - 64) * sqrt(36) | -348 | power | 2 | 3 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: sqrt(81) / tan(30). This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $sqrt(81) = 9$
2. $tan(30) = 0.5773502691896257$
3. $9 / 0.57735026... | sqrt(81) / tan(30) | 15.588457268119896 | mixed | 5 | 3 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: (64 + csc(45)) * 67. 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. $64 + 1.414213562373095 = 65.414213... | (64 + csc(45)) * 67 | 4382.752308678997 | trig | 1 | 3 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((40 + 48) - log(31, 2)) + log(12, 10). 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. $log(12, 10) ... | ((40 + 48) - log(31, 2)) + log(12, 10) | 84.12498493566075 | mixed | 2 | 7 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((tan(45) / sin(30)) - 45) / 3**2. 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. $sin(30) = 0.4999999... | ((tan(45) / sin(30)) - 45) / 3**2 | -39.77777777777778 | mixed | 3 | 7 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: log(8, 10) + 76. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $log(8, 10) = 0.9030899869919434$
2. $0.9030899869919434 + 76 = 76.90308... | log(8, 10) + 76 | 76.90308998699194 | log | 3 | 2 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((cos(270) / 36) / cbrt(64)) / sqrt(9). This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $cos(270) = -1.8369701987210297e-16$
2. $cbrt(64)... | ((cos(270) / 36) / cbrt(64)) / sqrt(9) | 1.2041199826559246 | mixed | 3 | 8 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((73 * 41) / sqrt(25)) * 61. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $sqrt(25) = 5$
2. $73 * 41 = 2993$
3. $2993 / 5 = 598.6$
... | ((73 * 41) / sqrt(25)) * 61 | 36514.6 | power | 3 | 4 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((95 * 3) * log(49, 5)) * 16. 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. $95 * 3 = 285$
3. $28... | ((95 * 3) * log(49, 5)) * 16 | 196.90437554846727 | log | 2 | 5 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: (46 / cbrt(216)) + 26. 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. $46 / 5.999999999999999 = 7.666... | (46 / cbrt(216)) + 26 | 33.66666666666667 | power | 4 | 3 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((24 + log(38, 2)) / log(48, 3)) / sqrt(100). 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. $log(48... | ((24 + log(38, 2)) / log(48, 3)) / sqrt(100) | 0.09222556368827273 | mixed | 3 | 8 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: 10 - 86. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $10 - 86 = -76$
The answer is $-76$
3. Drafting the response: "Ответ на ваш запр... | 10 - 86 | -76 | arithmetic | 2 | 1 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: sin(60) * 20. 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 * 20 = 17.32050807568... | sin(60) * 20 | 17.32050807568877 | trig | 3 | 2 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: 8 + 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. $8 + 8 = 16$
The answer is $16$
3. Drafting the respons... | 8 + sqrt(64) | 16 | power | 3 | 2 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((5 + 11) / 92) / 4**4. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $4**4 = 256$
2. $5 + 11 = 16$
3. $16 / 92 = 0.17391304347826086... | ((5 + 11) / 92) / 4**4 | 0.0006793478260869565 | power | 2 | 4 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: 59 - 93. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $59 - 93 = -34$
The answer is $-34$
3. Drafting the response: "Ответ на ваш запр... | 59 - 93 | -34 | arithmetic | 5 | 1 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: sec(180) * 5**4. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $sec(180) = -1$
2. $5**4 = 625$
3. $-1 * 625 = -625$
The answer is $... | sec(180) * 5**4 | -625 | mixed | 5 | 3 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((95 - sqrt(49)) + cos(180)) / 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. $cos(180) = -1$
3. $csc(210) = -1.... | ((95 - sqrt(49)) + cos(180)) / 50 | -0.8700000000000002 | mixed | 1 | 7 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: (cot(45) + 86) / sec(180). 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. $sec(180) = -1$
3. $1.0000... | (cot(45) + 86) / sec(180) | -87 | trig | 2 | 4 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: (86 / 48) - log(40, 5). 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. $86 / 48 = 1.7916666666666667... | (86 / 48) - log(40, 5) | -0.5003630075535124 | log | 4 | 3 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: 10 / sec(0). This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $sec(0) = 1$
2. $10 / 1 = 10$
The answer is $10$
3. Drafting the response:... | 10 / sec(0) | 10 | trig | 1 | 2 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: (log(13, 3) / sqrt(9)) + 69. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $log(13, 3) = 2.3347175194727927$
2. $sqrt(9) = 3$
3. $2.3... | (log(13, 3) / sqrt(9)) + 69 | 69.7782391731576 | mixed | 4 | 4 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((56 * 59) / cot(60)) / sin(30). 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. $sin(30) = 0.4999999999... | ((56 * 59) / cot(60)) / sin(30) | 11445.391736415138 | trig | 3 | 5 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: 97 / 28. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $97 / 28 = 3.4642857142857144$
The answer is $3.4642857142857144$
3. Drafting th... | 97 / 28 | 3.4642857142857144 | arithmetic | 1 | 1 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((csc(210) - 62) / 98) - csc(90). This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $csc(210) = -1.9999999999999996$
2. $csc(90) = 1$
3. ... | ((csc(210) - 62) / 98) - csc(90) | -1.6530612244897958 | trig | 1 | 5 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: 5**3 / 51. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $5**3 = 125$
2. $125 / 51 = 2.450980392156863$
The answer is $2.450980392156... | 5**3 / 51 | 2.450980392156863 | power | 4 | 2 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: (46 * tan(135)) + sqrt(4). 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. $sqrt(4) = 2$
3. $46 * -... | (46 * tan(135)) + sqrt(4) | -44.00000000000001 | mixed | 5 | 4 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: cos(30) - 24. 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 - 24 = -23.1339745962... | cos(30) - 24 | -23.133974596215563 | trig | 4 | 2 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: 24 * 97. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $24 * 97 = 2328$
The answer is $2328$
3. Drafting the response: "Ответ на ваш за... | 24 * 97 | 2328 | arithmetic | 4 | 1 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: 71 / 17. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $71 / 17 = 4.176470588235294$
The answer is $4.176470588235294$
3. Drafting the ... | 71 / 17 | 4.176470588235294 | arithmetic | 2 | 1 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: (81 + 100) + 3. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $81 + 100 = 181$
2. $181 + 3 = 184$
The answer is $184$
3. Drafting the... | (81 + 100) + 3 | 184 | arithmetic | 5 | 2 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((9 + log(23, 10)) + 55) + sin(60). This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $log(23, 10) = 1.3617278360175928$
2. $sin(60) = 0.86... | ((9 + log(23, 10)) + 55) + sin(60) | 66.22775323980203 | mixed | 4 | 5 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: (12 + 7) / 63. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $12 + 7 = 19$
2. $19 / 63 = 0.30158730158730157$
The answer is $0.301587... | (12 + 7) / 63 | 0.30158730158730157 | arithmetic | 4 | 2 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: (47 - 2**4) / log(16, 5). This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $2**4 = 16$
2. $log(16, 5) = 1.7227062322935722$
3. $47 - 16 ... | (47 - 2**4) / log(16, 5) | 17.99494273537706 | mixed | 4 | 4 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((cot(30) / 7) + log(39, 2)) * 75. 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. $log(39, 2) = 5.2854... | ((cot(30) / 7) + log(39, 2)) * 75 | 414.9628536386209 | mixed | 4 | 5 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((log(15, 3) + 11) * 54) + 5. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $log(15, 3) = 2.464973520717927$
2. $csc(150) = 2.000000000... | ((log(15, 3) + 11) * 54) + 5 | 1464.2171402375363 | mixed | 4 | 6 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((85 + 5**3) / 83) * 32. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $5**3 = 125$
2. $sqrt(9) = 3$
3. $85 + 125 = 210$
4. $210 / ... | ((85 + 5**3) / 83) * 32 | 83.96385542168674 | power | 4 | 6 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: (6**3 + sqrt(100)) * sec(240). This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $6**3 = 216$
2. $sqrt(100) = 10$
3. $sec(240) = -1.99999... | (6**3 + sqrt(100)) * sec(240) | -451.9999999999996 | mixed | 5 | 5 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((cot(90) / sqrt(9)) / 90) + 71. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $cot(90) = 6.123233995736766e-17$
2. $sqrt(9) = 3$
3. ... | ((cot(90) / sqrt(9)) / 90) + 71 | 64 | mixed | 1 | 7 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: 80 + sqrt(4). This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $sqrt(4) = 2$
2. $80 + 2 = 82$
The answer is $82$
3. Drafting the respons... | 80 + sqrt(4) | 82 | power | 3 | 2 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((cot(225) * cos(90)) * 25) * 32. 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. $cos(90) = 6.1232339... | ((cot(225) * cos(90)) * 25) * 32 | 6.280239995627455e-16 | trig | 3 | 6 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((tan(315) + 2) + 38) / 91. 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. $-1.000... | ((tan(315) + 2) + 38) / 91 | 0.42857142857142855 | trig | 3 | 6 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: 52 / 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. $52 / 1.7320508075688767 = 30.02221399786... | 52 / tan(60) | 30.02221399786055 | trig | 1 | 2 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((2 - cot(135)) + sqrt(81)) / 39. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $cot(135) = -0.9999999999999998$
2. $sqrt(81) = 9$
3.... | ((2 - cot(135)) + sqrt(81)) / 39 | -63.69230769230769 | mixed | 1 | 6 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: (3**2 / 31) / sin(60). This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $3**2 = 9$
2. $sin(60) = 0.8660254037844386$
3. $9 / 31 = 0.2903... | (3**2 / 31) / sin(60) | 0.33523564017462143 | mixed | 4 | 4 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: sqrt(49) / sqrt(16). This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $sqrt(49) = 7$
2. $sqrt(16) = 4$
3. $7 / 4 = 1.75$
The answer is... | sqrt(49) / sqrt(16) | 1.75 | power | 4 | 3 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((tan(180) - cos(45)) * 6**4) + 91. 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. $cos(45) = 0.... | ((tan(180) - cos(45)) * 6**4) + 91 | -884.4103884177658 | mixed | 3 | 7 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: 39 + 81. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $39 + 81 = 120$
The answer is $120$
3. Drafting the response: "Ответ на ваш запр... | 39 + 81 | 120 | arithmetic | 2 | 1 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((2 / 56) * log(33, 2)) / 65. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $log(33, 2) = 5.044394119358453$
2. $2 / 56 = 0.03571428571... | ((2 / 56) * log(33, 2)) / 65 | 0.002771645120526622 | log | 5 | 4 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: (log(27, 5) / cot(30)) / 98. 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. $cot(30) = 1.73205080756... | (log(27, 5) / cot(30)) / 98 | 0.012064373575622133 | mixed | 4 | 4 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: (72 + 16) + 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. $72 + 16 = 88$
3. $88 + -2.000... | (72 + 16) + sec(120) | 86 | trig | 4 | 3 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((19 - 64) / sqrt(81)) / cot(30). This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $sqrt(81) = 9$
2. $cot(30) = 1.7320508075688774$
3. $... | ((19 - 64) / sqrt(81)) / cot(30) | -2.8867513459481287 | mixed | 1 | 5 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((93 + sin(90)) + 25) + 65. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $sin(90) = 1$
2. $csc(270) = -1$
3. $93 + 1 = 94$
4. $94 ... | ((93 + sin(90)) + 25) + 65 | 185 | trig | 3 | 6 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((csc(210) / 74) / 59) / 2**3. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $csc(210) = -1.9999999999999996$
2. $2**3 = 8$
3. $-1.99... | ((csc(210) / 74) / 59) / 2**3 | -5.726065048098945e-05 | mixed | 2 | 5 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: (cos(60) / 92) * tan(360). 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. $tan(360) = -2.4492935982947... | (cos(60) / 92) * tan(360) | -1.3311378251601669e-18 | trig | 3 | 4 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: 21 * sqrt(4). This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $sqrt(4) = 2$
2. $21 * 2 = 42$
The answer is $42$
3. Drafting the respons... | 21 * sqrt(4) | 42 | power | 4 | 2 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: 57 + 13. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $57 + 13 = 70$
The answer is $70$
3. Drafting the response: "Ответ на ваш запрос... | 57 + 13 | 70 | arithmetic | 1 | 1 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((sin(30) * 67) - 61) * csc(210). 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. $csc(210) = -1.99999... | ((sin(30) * 67) - 61) * csc(210) | 55 | trig | 4 | 5 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: 76 * 10. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $76 * 10 = 760$
The answer is $760$
3. Drafting the response: "Ответ на ваш запр... | 76 * 10 | 760 | arithmetic | 3 | 1 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: 55 * 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. $55 * 2.0000000000000004 = 110.0000000000... | 55 * csc(30) | 110.00000000000003 | trig | 4 | 2 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((74 / 74) + 61) - 29. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $cos(360) = 1$
2. $74 / 74 = 1$
3. $1 + 61 = 62$
4. $62 - 29 =... | ((74 / 74) + 61) - 29 | 33 | trig | 4 | 5 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: 98 / 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. $98 / 25 = 3.92$
The answer is $3.92$
3. Drafting the respons... | 98 / 5**2 | 3.92 | power | 1 | 2 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((sec(240) / 60) * log(26, 10)) + sec(120). 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(26, ... | ((sec(240) / 60) * log(26, 10)) + sec(120) | -55.273476013173756 | mixed | 4 | 8 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((tan(315) - log(21, 5)) + 99) * 48. 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(21, 5) = 1.... | ((tan(315) - log(21, 5)) + 99) * 48 | 4612.04522828043 | mixed | 2 | 7 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((97 - 100) * 5) * 59. 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. $97 - 100 = -3$
3. $-3 * 5 = ... | ((97 - 100) * 5) * 59 | -884.5 | trig | 4 | 5 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((cos(30) * cos(0)) - 27) / 11. 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. $cos(0) = 1$
3. $0.86... | ((cos(30) * cos(0)) - 27) / 11 | -2.375815872383233 | trig | 4 | 5 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: (sqrt(81) + 57) + 53. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $sqrt(81) = 9$
2. $9 + 57 = 66$
3. $66 + 53 = 119$
The answer i... | (sqrt(81) + 57) + 53 | 119 | power | 1 | 3 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: (cbrt(125) + sin(30)) * 19. 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. $sin(30) = 0.4999999999999... | (cbrt(125) + sin(30)) * 19 | 104.49999999999999 | mixed | 1 | 4 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: (95 + 45) * 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. $95 + 45 = 140$
3. $140 * -1 = -140$
The ans... | (95 + 45) * sin(270) | -140 | trig | 1 | 3 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: 34 / 33. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $34 / 33 = 1.0303030303030303$
The answer is $1.0303030303030303$
3. Drafting th... | 34 / 33 | 1.0303030303030303 | arithmetic | 4 | 1 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((cos(270) + 68) / 29) + 56. 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. $-1.8369701987210297... | ((cos(270) + 68) / 29) + 56 | 58.3448275862069 | trig | 3 | 4 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: (log(37, 3) - sin(0)) * sin(360). This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $log(37, 3) = 3.2867991282182727$
2. $sin(0) = 0$
3. ... | (log(37, 3) - sin(0)) * sin(360) | -8.050336063625637e-16 | mixed | 2 | 5 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((18 - 19) + sqrt(64)) + log(29, 5). This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $sqrt(64) = 8$
2. $log(29, 5) = 2.0922185341675$
3... | ((18 - 19) + sqrt(64)) + log(29, 5) | 10.0922185341675 | mixed | 3 | 7 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((17 / 70) / 42) - sin(0). This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $sin(0) = 0$
2. $17 / 70 = 0.24285714285714285$
3. $0.242857... | ((17 / 70) / 42) - sin(0) | 22.00578231292517 | trig | 3 | 5 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((48 - sqrt(100)) - 44) * 26. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $sqrt(100) = 10$
2. $cos(45) = 0.7071067811865476$
3. $48... | ((48 - sqrt(100)) - 44) * 26 | -220.61731573020282 | mixed | 3 | 6 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: (1 + 4**4) - 28. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $4**4 = 256$
2. $1 + 256 = 257$
3. $257 - 28 = 229$
The answer is $2... | (1 + 4**4) - 28 | 229 | power | 1 | 3 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((1 - 25) * 81) / 38. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $1 - 25 = -24$
2. $-24 * 81 = -1944$
3. $-1944 / 38 = -51.1578947... | ((1 - 25) * 81) / 38 | -51.1578947368421 | arithmetic | 1 | 3 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: 49 + 46. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $49 + 46 = 95$
The answer is $95$
3. Drafting the response: "Ответ на ваш запрос... | 49 + 46 | 95 | arithmetic | 4 | 1 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((cbrt(8) - 21) + 87) * sqrt(64). This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $cbrt(8) = 2$
2. $sqrt(64) = 8$
3. $2 - 21 = -19$
4... | ((cbrt(8) - 21) + 87) * sqrt(64) | 539 | power | 2 | 6 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((79 * cbrt(64)) + 76) + 98. 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. $79 * 3.9999999999999996 ... | ((79 * cbrt(64)) + 76) + 98 | 489.99999999999994 | power | 5 | 4 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: (75 * log(46, 2)) * 33. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $log(46, 2) = 5.523561956057013$
2. $75 * 5.523561956057013 = 414... | (75 * log(46, 2)) * 33 | 13670.815841241109 | log | 3 | 3 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((cos(90) - cbrt(27)) * 28) / 46. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $cos(90) = 6.123233995736766e-17$
2. $cbrt(27) = 3$
3... | ((cos(90) - cbrt(27)) * 28) / 46 | -0.03885291396854764 | mixed | 5 | 6 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((80 - 63) / 26) * 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. $sqrt(100) = 10$
3. $80 - 63 = 17$
4. $1... | ((80 - 63) / 26) * sqrt(9) | 19.615384615384617 | power | 1 | 6 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: 2**4 - 58. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $2**4 = 16$
2. $16 - 58 = -42$
The answer is $-42$
3. Drafting the response:... | 2**4 - 58 | -42 | power | 3 | 2 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: 45 / sqrt(4). This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $sqrt(4) = 2$
2. $45 / 2 = 22.5$
The answer is $22.5$
3. Drafting the res... | 45 / sqrt(4) | 22.5 | power | 1 | 2 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((25 - log(35, 2)) + 39) / sin(90). This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $log(35, 2) = 5.129283016944966$
2. $sin(90) = 1$
3... | ((25 - log(35, 2)) + 39) / sin(90) | 134.87071698305505 | mixed | 3 | 6 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((48 / 63) / 6) * 46. 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. $48 / 63 = 0.761904761904761... | ((48 / 63) / 6) * 46 | 7.153492414067078e-16 | trig | 3 | 5 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((24 * log(18, 2)) * 2) - 12. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $log(18, 2) = 4.169925001442312$
2. $24 * 4.169925001442312... | ((24 * log(18, 2)) * 2) - 12 | 3.618392309023673 | log | 3 | 5 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((sqrt(36) / 76) / 47) - log(17, 10). This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $sqrt(36) = 6$
2. $log(17, 10) = 1.2304489213782739... | ((sqrt(36) / 76) / 47) - log(17, 10) | -1.2287691901352729 | mixed | 5 | 7 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((70 - 75) / cbrt(8)) * 99. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $cbrt(8) = 2$
2. $70 - 75 = -5$
3. $-5 / 2 = -2.5$
4. $-2... | ((70 - 75) / cbrt(8)) * 99 | -247.5 | power | 2 | 4 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: (tan(225) + log(5, 5)) - 69. 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. $log(5, 5) = 1$
3. $0.9... | (tan(225) + log(5, 5)) - 69 | -67 | mixed | 2 | 4 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: 28 / 87. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $28 / 87 = 0.3218390804597701$
The answer is $0.3218390804597701$
3. Drafting th... | 28 / 87 | 0.3218390804597701 | arithmetic | 1 | 1 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((45 / 38) - 20) + 54. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $45 / 38 = 1.1842105263157894$
2. $1.1842105263157894 - 20 = -18.8... | ((45 / 38) - 20) + 54 | 109.18421052631578 | arithmetic | 1 | 4 |
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