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: ((cbrt(27) * log(25, 5)) / log(27, 2)) * 100. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $cbrt(27) = 3$
2. $log(25, 5) = 2$
3. $lo... | ((cbrt(27) * log(25, 5)) / log(27, 2)) * 100 | 126.18595071429147 | mixed | 1 | 6 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((37 + cot(45)) * 45) * 72. 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. $37 + 1.0000000000000002 = ... | ((37 + cot(45)) * 45) * 72 | 123120 | trig | 5 | 4 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((cos(45) * 54) / tan(45)) + 80. 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. $tan(45) = 0.999999999... | ((cos(45) * 54) / tan(45)) + 80 | 2600.042856049619 | trig | 5 | 6 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((45 / 5**2) + sin(180)) / 49. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $5**2 = 25$
2. $sin(180) = 1.2246467991473532e-16$
3. $l... | ((45 / 5**2) + sin(180)) / 49 | 0.1359345202582442 | mixed | 2 | 7 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((57 * cot(135)) + log(28, 10)) - tan(45). 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. $log(28, 1... | ((57 * cot(135)) + log(28, 10)) - tan(45) | -60.552841968657766 | mixed | 4 | 8 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((41 - sqrt(4)) + log(9, 5)) - cbrt(27). This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $sqrt(4) = 2$
2. $log(9, 5) = 1.3652123889719707... | ((41 - sqrt(4)) + log(9, 5)) - cbrt(27) | 118.36521238897197 | mixed | 2 | 7 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: 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. $93 + 3.9999999999999996 = 97$
The an... | 93 + cbrt(64) | 97 | power | 4 | 2 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((log(34, 10) - sqrt(16)) / 65) - 5. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $log(34, 10) = 1.5314789170422551$
2. $sqrt(16) = 4$... | ((log(34, 10) - sqrt(16)) / 65) - 5 | -6.452190809803214 | mixed | 3 | 7 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((5**4 * log(14, 5)) / log(23, 2)) - 68. 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(14, 5) = 1.6397385131955606... | ((5**4 * log(14, 5)) / log(23, 2)) - 68 | 160.28727005796011 | mixed | 5 | 8 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: 48 / log(8, 10). 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. $48 / 0.9030899869919434 = 53.15084... | 48 / log(8, 10) | 53.15084951819781 | log | 1 | 2 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((92 - 69) + 4**2) + log(30, 5). This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $4**2 = 16$
2. $log(30, 5) = 2.1132827525593787$
3. $9... | ((92 - 69) + 4**2) + log(30, 5) | 41.11328275255938 | mixed | 4 | 5 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((sqrt(49) * 83) / 27) * 11. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $sqrt(49) = 7$
2. $sin(180) = 1.2246467991473532e-16$
3. $... | ((sqrt(49) * 83) / 27) * 11 | 236.7037037037037 | mixed | 3 | 6 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((54 - sin(45)) - cos(60)) * 27. 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. $cos(60) = 0.500000000... | ((54 - sin(45)) - cos(60)) * 27 | 142.54081169079632 | mixed | 3 | 7 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: (23 - log(37, 3)) - 39. 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. $23 - 3.2867991282182727 = 1... | (23 - log(37, 3)) - 39 | -19.286799128218274 | log | 5 | 3 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((54 + 33) * 25) - 51. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $54 + 33 = 87$
2. $87 * 25 = 2175$
3. $2175 - 51 = 2124$
4. $2... | ((54 + 33) * 25) - 51 | 2097 | arithmetic | 1 | 4 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((23 / 81) * sin(45)) * 93. 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. $23 / 81 = 0.28395061728395... | ((23 / 81) * sin(45)) * 93 | 18.672856851333645 | trig | 5 | 4 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: (99 + cbrt(125)) * log(44, 10). 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. $log(44, 10) = 1.64345... | (99 + cbrt(125)) * log(44, 10) | 170.91907835456348 | mixed | 2 | 4 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((8 + cbrt(8)) * 31) + 89. 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. $8 + 2 = 10$
4. $10 * 3... | ((8 + cbrt(8)) * 31) + 89 | 391 | power | 3 | 6 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((sec(60) + tan(180)) * tan(30)) + 22. 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. $tan(180) = -1.2... | ((sec(60) + tan(180)) * tan(30)) + 22 | 10.154700538379252 | trig | 1 | 7 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((52 - 63) + 62) + 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. $52 - 63 = -11$
3. $-11 + 62 = 51$
4. $5... | ((52 - 63) + 62) + sqrt(9) | 1242 | power | 4 | 5 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((9 / 23) + 49) - 99. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $9 / 23 = 0.391304347826087$
2. $0.391304347826087 + 49 = 49.391304... | ((9 / 23) + 49) - 99 | -132.6086956521739 | arithmetic | 2 | 4 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((66 + 34) - 94) - 84. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $66 + 34 = 100$
2. $100 - 94 = 6$
3. $6 - 84 = -78$
4. $-78 * ... | ((66 + 34) - 94) - 84 | -2418 | arithmetic | 2 | 4 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((csc(45) / cot(225)) / 48) - sin(270). 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. $cot(225) = 1.00... | ((csc(45) / cot(225)) / 48) - sin(270) | 0.4409367617123568 | mixed | 3 | 8 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((76 + 63) * 44) * log(39, 3). This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $log(39, 3) = 3.3347175194727923$
2. $76 + 63 = 139$
3. ... | ((76 + 63) * 44) * log(39, 3) | 20395.1323490956 | log | 4 | 4 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: log(18, 2) * sec(60). 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. $sec(60) = 1.9999999999999996$
... | log(18, 2) * sec(60) | 8.339850002884623 | mixed | 1 | 3 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((44 * 27) + 28) * 34. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $44 * 27 = 1188$
2. $1188 + 28 = 1216$
3. $1216 * 34 = 41344$
... | ((44 * 27) + 28) * 34 | 41344 | arithmetic | 2 | 3 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: 20 + 100. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $20 + 100 = 120$
The answer is $120$
3. Drafting the response: "Ответ на ваш за... | 20 + 100 | 120 | arithmetic | 1 | 1 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: (sqrt(100) * sqrt(81)) / 66. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $sqrt(100) = 10$
2. $sqrt(81) = 9$
3. $10 * 9 = 90$
4. $... | (sqrt(100) * sqrt(81)) / 66 | 1.3636363636363635 | power | 5 | 4 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: (11 - 86) * 46. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $11 - 86 = -75$
2. $-75 * 46 = -3450$
The answer is $-3450$
3. Drafting... | (11 - 86) * 46 | -3450 | arithmetic | 2 | 2 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: (57 * log(33, 3)) - 16. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $log(33, 3) = 3.1826583386441376$
2. $57 * 3.1826583386441376 = 1... | (57 * log(33, 3)) - 16 | 165.41152530271583 | log | 1 | 3 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: (25 - sqrt(64)) - 21. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $sqrt(64) = 8$
2. $25 - 8 = 17$
3. $17 - 21 = -4$
The answer is... | (25 - sqrt(64)) - 21 | -4 | power | 1 | 3 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((tan(360) - 69) + 6**4) * 73. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $tan(360) = -2.4492935982947064e-16$
2. $6**4 = 1296$
3.... | ((tan(360) - 69) + 6**4) * 73 | 89571 | mixed | 4 | 5 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((sec(180) - tan(135)) * 52) * 75. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $sec(180) = -1$
2. $tan(135) = -1.0000000000000002$
... | ((sec(180) - tan(135)) * 52) * 75 | 9.62193288008469e-14 | mixed | 2 | 7 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: sin(270) * 75. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $sin(270) = -1$
2. $-1 * 75 = -75$
The answer is $-75$
3. Drafting the r... | sin(270) * 75 | -75 | trig | 1 | 2 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: 5**3 * 22. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $5**3 = 125$
2. $125 * 22 = 2750$
The answer is $2750$
3. Drafting the respo... | 5**3 * 22 | 2750 | power | 3 | 2 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: 90 / 7. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $90 / 7 = 12.857142857142858$
The answer is $12.857142857142858$
3. Drafting the ... | 90 / 7 | 12.857142857142858 | arithmetic | 3 | 1 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((5**2 + 85) + 3) * 24. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $5**2 = 25$
2. $25 + 85 = 110$
3. $110 + 3 = 113$
4. $113 * 2... | ((5**2 + 85) + 3) * 24 | 2712 | power | 1 | 4 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((17 + 11) - 83) + 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. $17 + 11 = 28$
3. $28 -... | ((17 + 11) - 83) + cbrt(64) | -3570 | power | 4 | 5 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((71 + sin(30)) * 11) - cbrt(216). 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. $cbrt(216) = 5.9999... | ((71 + sin(30)) * 11) - cbrt(216) | 45.911764705882355 | mixed | 1 | 6 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((6 + log(3, 2)) + cos(180)) + 72. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $log(3, 2) = 1.5849625007211563$
2. $cos(180) = -1$
... | ((6 + log(3, 2)) + cos(180)) + 72 | 78.58496250072116 | mixed | 5 | 6 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: (69 - 41) - cot(30). 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. $69 - 41 = 28$
3. $28 - 1.732050... | (69 - 41) - cot(30) | 26.26794919243112 | trig | 4 | 3 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: (sin(90) + tan(30)) / cos(45). This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $sin(90) = 1$
2. $tan(30) = 0.5773502691896257$
3. $cos(... | (sin(90) + tan(30)) / cos(45) | 2.2307101433008207 | trig | 3 | 5 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: sqrt(100) - 9. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $sqrt(100) = 10$
2. $10 - 9 = 1$
The answer is $1$
3. Drafting the respo... | sqrt(100) - 9 | 1 | power | 2 | 2 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((79 + 19) - 5) * log(44, 2). This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $log(44, 2) = 5.459431618637297$
2. $sqrt(64) = 8$
3. $79... | ((79 + 19) - 5) * log(44, 2) | 499.72714053326865 | mixed | 3 | 6 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((sqrt(4) / 36) / 65) / sqrt(9). This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $sqrt(4) = 2$
2. $sqrt(9) = 3$
3. $2 / 36 = 0.05555555... | ((sqrt(4) / 36) / 65) / sqrt(9) | 0.011965811965811965 | power | 5 | 6 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: (sin(270) - 75) + sqrt(81). This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $sin(270) = -1$
2. $sqrt(81) = 9$
3. $-1 - 75 = -76$
4. $... | (sin(270) - 75) + sqrt(81) | -67 | mixed | 4 | 4 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((sqrt(49) + 16) - 2) + 77. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $sqrt(49) = 7$
2. $7 + 16 = 23$
3. $23 - 2 = 21$
4. $21 +... | ((sqrt(49) + 16) - 2) + 77 | 8.909090909090908 | power | 2 | 5 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: (83 * 22) + 73. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $83 * 22 = 1826$
2. $1826 + 73 = 1899$
The answer is $1899$
3. Drafting... | (83 * 22) + 73 | 1899 | arithmetic | 2 | 2 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((93 / sqrt(100)) / 43) - 84. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $sqrt(100) = 10$
2. $log(21, 2) = 4.392317422778761$
3. $... | ((93 / sqrt(100)) / 43) - 84 | -19.07506058094215 | mixed | 2 | 6 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((27 - 61) / tan(30)) - tan(360). This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $tan(30) = 0.5773502691896257$
2. $tan(360) = -2.449293... | ((27 - 61) / tan(30)) - tan(360) | -58.889727457341834 | trig | 3 | 5 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: (67 / 73) + 18. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $67 / 73 = 0.9178082191780822$
2. $0.9178082191780822 + 18 = 18.917808219... | (67 / 73) + 18 | 18.91780821917808 | arithmetic | 2 | 2 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((sqrt(100) + 100) + 36) * csc(60). This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $sqrt(100) = 10$
2. $csc(60) = 1.1547005383792517$
... | ((sqrt(100) + 100) + 36) * csc(60) | -168.58627860337074 | mixed | 1 | 7 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: (4 + 37) * 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. $4 + 37 = 41$
3. $41 * 7 = 287$
The answer is ... | (4 + 37) * sqrt(49) | 287 | power | 4 | 3 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: (log(28, 3) * log(19, 3)) * 50. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $log(28, 3) = 3.033103256304337$
2. $log(19, 3) = 2.68014... | (log(28, 3) * log(19, 3)) * 50 | 406.45765334221267 | log | 4 | 4 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: (sqrt(36) / log(11, 2)) + 17. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $sqrt(36) = 6$
2. $log(11, 2) = 3.4594316186372978$
3. $6... | (sqrt(36) / log(11, 2)) + 17 | 18.734388957907328 | mixed | 3 | 4 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((9 * sin(0)) - sin(270)) + 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. $sin(270) = -1$
3. $9 * 0 = 0$
4. $0 ... | ((9 * sin(0)) - sin(270)) + 72 | 73 | trig | 2 | 5 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: 66 / 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. $66 / 25 = 2.64$
The answer is $2.64$
3. Drafting the respons... | 66 / 5**2 | 2.64 | power | 2 | 2 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((65 - log(50, 2)) - 72) - 92. 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. $65 - 5.64385618977472... | ((65 - log(50, 2)) - 72) - 92 | -18.643856189774723 | log | 4 | 5 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((77 * 81) / 1) - 6**3. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $6**3 = 216$
2. $77 * 81 = 6237$
3. $6237 / 1 = 6237$
4. $623... | ((77 * 81) / 1) - 6**3 | 6021 | power | 1 | 4 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((28 - 71) * 15) * cbrt(27). This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $cbrt(27) = 3$
2. $28 - 71 = -43$
3. $-43 * 15 = -645$
4... | ((28 - 71) * 15) * cbrt(27) | -1935 | power | 1 | 4 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((cos(0) + sin(270)) * sqrt(64)) - 12. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $cos(0) = 1$
2. $sin(270) = -1$
3. $sqrt(64) = 8... | ((cos(0) + sin(270)) * sqrt(64)) - 12 | -7.000000000000001 | mixed | 5 | 8 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: (90 / 77) - sqrt(81). This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $sqrt(81) = 9$
2. $90 / 77 = 1.1688311688311688$
3. $1.1688311688... | (90 / 77) - sqrt(81) | -7.8311688311688314 | power | 5 | 3 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: (78 + 86) * cos(270). 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. $78 + 86 = 164$
3. $164 *... | (78 + 86) * cos(270) | -3.0126311259024884e-14 | trig | 3 | 3 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: (82 / 20) / 37. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $82 / 20 = 4.1$
2. $4.1 / 37 = 0.1108108108108108$
The answer is $0.110... | (82 / 20) / 37 | 0.1108108108108108 | arithmetic | 3 | 2 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: (5 + sqrt(49)) + 4. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $sqrt(49) = 7$
2. $5 + 7 = 12$
3. $12 + 4 = 16$
The answer is $16... | (5 + sqrt(49)) + 4 | 16 | power | 3 | 3 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((52 * 94) - sec(45)) * 27. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $sec(45) = 1.414213562373095$
2. $52 * 94 = 4888$
3. $4888 ... | ((52 * 94) - sec(45)) * 27 | 131937.81623381592 | trig | 4 | 4 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((cos(0) + log(29, 2)) + 28) - 59. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $cos(0) = 1$
2. $log(29, 2) = 4.857980995127573$
3. ... | ((cos(0) + log(29, 2)) + 28) - 59 | -25.142019004872424 | mixed | 1 | 5 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: 93 / 96. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $93 / 96 = 0.96875$
The answer is $0.96875$
3. Drafting the response: "Ответ на ... | 93 / 96 | 0.96875 | arithmetic | 3 | 1 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: 5 * cos(0). This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $cos(0) = 1$
2. $5 * 1 = 5$
The answer is $5$
3. Drafting the response: "От... | 5 * cos(0) | 5 | trig | 5 | 2 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: 68 * 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. $68 * 4 = 272$
The answer is $272$
3. Drafting the res... | 68 * sqrt(16) | 272 | power | 3 | 2 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: (1 - 49) * 73. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $1 - 49 = -48$
2. $-48 * 73 = -3504$
The answer is $-3504$
3. Drafting t... | (1 - 49) * 73 | -3504 | arithmetic | 5 | 2 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: (32 - sqrt(16)) / 96. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $sqrt(16) = 4$
2. $32 - 4 = 28$
3. $28 / 96 = 0.2916666666666667$... | (32 - sqrt(16)) / 96 | 0.2916666666666667 | power | 3 | 3 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: (22 - 31) + 29. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $22 - 31 = -9$
2. $-9 + 29 = 20$
The answer is $20$
3. Drafting the res... | (22 - 31) + 29 | 20 | arithmetic | 5 | 2 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: 22 + 23. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $22 + 23 = 45$
The answer is $45$
3. Drafting the response: "Ответ на ваш запрос... | 22 + 23 | 45 | arithmetic | 2 | 1 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((cos(0) - sqrt(36)) + 29) / 56. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $cos(0) = 1$
2. $sqrt(36) = 6$
3. $1 - 6 = -5$
4. $-... | ((cos(0) - sqrt(36)) + 29) / 56 | -71.57142857142857 | mixed | 3 | 6 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: sin(60) * 97. 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 * 97 = 84.00446416709... | sin(60) * 97 | 84.00446416709055 | trig | 4 | 2 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: (39 + 92) / 84. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $39 + 92 = 131$
2. $131 / 84 = 1.5595238095238095$
The answer is $1.559... | (39 + 92) / 84 | 1.5595238095238095 | arithmetic | 1 | 2 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: (sin(360) - 39) + sqrt(64). This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $sin(360) = -2.4492935982947064e-16$
2. $sqrt(64) = 8$
3. $... | (sin(360) - 39) + sqrt(64) | -31 | mixed | 2 | 4 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: (95 * 70) - 4**3. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $4**3 = 64$
2. $95 * 70 = 6650$
3. $6650 - 64 = 6586$
The answer is... | (95 * 70) - 4**3 | 6586 | power | 5 | 3 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: (sin(45) * 99) + 43. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $sin(45) = 0.7071067811865476$
2. $0.7071067811865476 * 99 = 70.0035... | (sin(45) * 99) + 43 | 113.00357133746822 | trig | 4 | 3 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((cos(60) + log(12, 3)) - 4) + 66. 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. $log(12, 3) = 2.2618... | ((cos(60) + log(12, 3)) - 4) + 66 | 64.76185950714292 | mixed | 2 | 5 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: (68 / 51) - 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. $68 / 51 = 1.3333333333333333$
3. $1.33333333333333... | (68 / 51) - sin(0) | 1.3333333333333333 | trig | 1 | 3 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: csc(270) / sqrt(64). This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $csc(270) = -1$
2. $sqrt(64) = 8$
3. $-1 / 8 = -0.125$
The answe... | csc(270) / sqrt(64) | -0.125 | mixed | 4 | 3 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((sin(360) / 79) / sqrt(100)) / log(30, 2). This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $sin(360) = -2.4492935982947064e-16$
2. $sqrt... | ((sin(360) / 79) / sqrt(100)) / log(30, 2) | -4.513145607621565e-21 | mixed | 5 | 7 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: (92 - 15) - 3. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $92 - 15 = 77$
2. $77 - 3 = 74$
The answer is $74$
3. Drafting the respo... | (92 - 15) - 3 | 74 | arithmetic | 5 | 2 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: (96 - sqrt(9)) / log(5, 10). This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $sqrt(9) = 3$
2. $log(5, 10) = 0.6989700043360187$
3. $96 ... | (96 - sqrt(9)) / log(5, 10) | 133.05291990082557 | mixed | 4 | 4 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: (74 / 44) - sin(360). 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. $74 / 44 = 1.68181818181818... | (74 / 44) - sin(360) | 1.681818181818182 | trig | 4 | 3 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: (48 / 45) - 85. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $48 / 45 = 1.0666666666666667$
2. $1.0666666666666667 - 85 = -83.93333333... | (48 / 45) - 85 | -83.93333333333334 | arithmetic | 2 | 2 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((48 + 19) * 16) - 85. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $48 + 19 = 67$
2. $67 * 16 = 1072$
3. $1072 - 85 = 987$
The an... | ((48 + 19) * 16) - 85 | 987 | arithmetic | 3 | 3 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: sin(0) - 34. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $sin(0) = 0$
2. $0 - 34 = -34$
The answer is $-34$
3. Drafting the respons... | sin(0) - 34 | -34 | trig | 3 | 2 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((28 + cbrt(64)) + 14) / 59. 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. $28 + 3... | ((28 + cbrt(64)) + 14) / 59 | 0.7796610169491526 | mixed | 4 | 6 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((cos(360) * 13) / 37) * 48. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $cos(360) = 1$
2. $1 * 13 = 13$
3. $13 / 37 = 0.3513513513... | ((cos(360) * 13) / 37) * 48 | 16.864864864864867 | trig | 4 | 4 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((6**3 + sqrt(49)) - log(45, 3)) * 14. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $6**3 = 216$
2. $sqrt(49) = 7$
3. $log(45, 3) = ... | ((6**3 + sqrt(49)) - log(45, 3)) * 14 | 3005.490370709949 | mixed | 1 | 7 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: 7 * 25. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $7 * 25 = 175$
The answer is $175$
3. Drafting the response: "Ответ на ваш запрос... | 7 * 25 | 175 | arithmetic | 4 | 1 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: 72 + 21. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $72 + 21 = 93$
The answer is $93$
3. Drafting the response: "Ответ на ваш запрос... | 72 + 21 | 93 | arithmetic | 2 | 1 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: 73 + cbrt(8). This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $cbrt(8) = 2$
2. $73 + 2 = 75$
The answer is $75$
3. Drafting the respons... | 73 + cbrt(8) | 75 | power | 5 | 2 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((97 * log(27, 10)) + 4) / log(9, 5). This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $log(27, 10) = 1.4313637641589871$
2. $log(9, 5) = ... | ((97 * log(27, 10)) + 4) / log(9, 5) | -104.63008267232661 | mixed | 5 | 7 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((71 + 81) + 12) / sin(30). This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $sin(30) = 0.49999999999999994$
2. $71 + 81 = 152$
3. $152 ... | ((71 + 81) + 12) / sin(30) | 320.00000000000006 | trig | 3 | 5 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: csc(150) * 89. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $csc(150) = 2.0000000000000004$
2. $2.0000000000000004 * 89 = 178.00000000... | csc(150) * 89 | 178.00000000000003 | trig | 1 | 2 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((sqrt(9) - 30) - sqrt(4)) + 81. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $sqrt(9) = 3$
2. $sqrt(4) = 2$
3. $log(17, 3) = 2.5789... | ((sqrt(9) - 30) - sqrt(4)) + 81 | 54.57890192316257 | mixed | 3 | 7 |
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