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: ((39 / 4) / cos(45)) * 8. 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. $39 / 4 = 9.75$
3. $9.75 / ... | ((39 / 4) / cos(45)) * 8 | 2.9028594175026687 | trig | 3 | 5 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: (tan(60) / sqrt(36)) - 64. 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. $sqrt(36) = 6$
3. $1.73205... | (tan(60) / sqrt(36)) - 64 | -63.71132486540519 | mixed | 2 | 4 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((82 * sin(360)) * 79) / 58. 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. $82 * -2.44929359829... | ((82 * sin(360)) * 79) / 58 | -2.7356075740953638e-14 | trig | 2 | 4 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((64 / 3) / 36) - 14. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $64 / 3 = 21.333333333333332$
2. $21.333333333333332 / 36 = 0.59259... | ((64 / 3) / 36) - 14 | -13.407407407407408 | arithmetic | 5 | 3 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((90 * sec(120)) - sqrt(4)) / 30. 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. $sqrt(4) = 2$
3. $... | ((90 * sec(120)) - sqrt(4)) / 30 | -6.066666666666669 | mixed | 5 | 5 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: sin(270) - sqrt(4). This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $sin(270) = -1$
2. $sqrt(4) = 2$
3. $-1 - 2 = -3$
The answer is $... | sin(270) - sqrt(4) | -3 | mixed | 1 | 3 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: 43 * 15. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $43 * 15 = 645$
The answer is $645$
3. Drafting the response: "Ответ на ваш запр... | 43 * 15 | 645 | arithmetic | 4 | 1 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: (8 * 91) * 95. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $8 * 91 = 728$
2. $728 * 95 = 69160$
The answer is $69160$
3. Drafting t... | (8 * 91) * 95 | 69160 | arithmetic | 4 | 2 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: tan(135) + 7. 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. $-1.0000000000000002 + 7 = 6$
The ans... | tan(135) + 7 | 6 | trig | 4 | 2 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: (77 + sqrt(4)) - 82. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $sqrt(4) = 2$
2. $77 + 2 = 79$
3. $79 - 82 = -3$
The answer is $... | (77 + sqrt(4)) - 82 | -3 | power | 5 | 3 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: (cot(30) / log(8, 3)) - 5**4. 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(8, 3) = 1.8927892607... | (cot(30) / log(8, 3)) - 5**4 | -624.0849214735532 | mixed | 5 | 5 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((68 / cos(0)) + 97) - 83. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $cos(0) = 1$
2. $68 / 1 = 68$
3. $68 + 97 = 165$
4. $165 -... | ((68 / cos(0)) + 97) - 83 | -14 | trig | 5 | 5 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: 73 - 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. $73 - 0.5000000000000001 = 72.5$
The an... | 73 - cos(60) | 72.5 | trig | 4 | 2 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: (sqrt(36) * log(11, 3)) + 50. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $sqrt(36) = 6$
2. $log(11, 3) = 2.182658338644138$
3. $6 ... | (sqrt(36) * log(11, 3)) + 50 | 63.09595003186483 | mixed | 4 | 4 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((log(3, 2) + 58) * log(12, 5)) - 77. 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. $log(12, 5) = 1... | ((log(3, 2) + 58) * log(12, 5)) - 77 | 14.996757626692983 | log | 3 | 5 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((75 + 24) - 19) - 66. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $csc(90) = 1$
2. $75 + 24 = 99$
3. $99 - 19 = 80$
4. $80 - 66 ... | ((75 + 24) - 19) - 66 | 14 | trig | 3 | 5 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: (3 * 29) + 51. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $3 * 29 = 87$
2. $87 + 51 = 138$
The answer is $138$
3. Drafting the res... | (3 * 29) + 51 | 138 | arithmetic | 4 | 2 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((14 / 57) + 9) * 44. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $log(24, 5) = 1.9746358687061647$
2. $14 / 57 = 0.24561403508771928... | ((14 / 57) + 9) * 44 | 803.2957284834832 | log | 3 | 5 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((89 - cbrt(216)) + 52) + 99. 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. $89 - 5.999999999999999 ... | ((89 - cbrt(216)) + 52) + 99 | 234 | power | 3 | 4 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((67 + 60) / cbrt(125)) / 53. 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. $67 + 60 = 127$
3. $12... | ((67 + 60) / cbrt(125)) / 53 | 0.0319496855345912 | power | 4 | 5 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: 81 / log(19, 3). This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $log(19, 3) = 2.680143859246375$
2. $81 / 2.680143859246375 = 30.2222583... | 81 / log(19, 3) | 30.222258301752596 | log | 4 | 2 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((53 * cos(30)) / log(31, 5)) - 15. 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. $log(31, 5) = 2.133... | ((53 * cos(30)) / log(31, 5)) - 15 | 547.0132716714625 | mixed | 1 | 6 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: cot(270) + 100. 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. $1.83697019872103e-16 + 100 = 100$
... | cot(270) + 100 | 100 | trig | 1 | 2 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((41 * log(42, 5)) - 65) * sin(270). This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $log(42, 5) = 2.322344707681546$
2. $sin(270) = -1$
... | ((41 * log(42, 5)) - 65) * sin(270) | -30.21613301494338 | mixed | 5 | 5 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((20 * 100) - sqrt(36)) + 39. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $sqrt(36) = 6$
2. $log(25, 3) = 2.9299470414358537$
3. $2... | ((20 * 100) - sqrt(36)) + 39 | 2030.0700529585642 | mixed | 4 | 6 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: 36 + 20. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $36 + 20 = 56$
The answer is $56$
3. Drafting the response: "Ответ на ваш запрос... | 36 + 20 | 56 | arithmetic | 4 | 1 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((5**2 + 77) + log(34, 2)) + 2. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $5**2 = 25$
2. $log(34, 2) = 5.08746284125034$
3. $25 +... | ((5**2 + 77) + log(34, 2)) + 2 | 9054.259415823779 | mixed | 4 | 6 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((51 - 83) / 6) / 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. $51 - 83 = -32$
3. $-32 ... | ((51 - 83) / 6) / cbrt(64) | -1.3333333333333335 | power | 5 | 4 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: sqrt(49) * 59. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $sqrt(49) = 7$
2. $7 * 59 = 413$
The answer is $413$
3. Drafting the res... | sqrt(49) * 59 | 413 | power | 4 | 2 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: 24 + 8. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $24 + 8 = 32$
The answer is $32$
3. Drafting the response: "Ответ на ваш запрос в... | 24 + 8 | 32 | arithmetic | 4 | 1 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: (28 / 33) / 29. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $28 / 33 = 0.8484848484848485$
2. $0.8484848484848485 / 29 = 0.0292580982... | (28 / 33) / 29 | 0.029258098223615466 | arithmetic | 1 | 2 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: (sin(90) / 19) / 66. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $sin(90) = 1$
2. $1 / 19 = 0.05263157894736842$
3. $0.052631578947... | (sin(90) / 19) / 66 | 0.0007974481658692185 | trig | 5 | 3 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: (73 * 43) * 77. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $73 * 43 = 3139$
2. $3139 * 77 = 241703$
The answer is $241703$
3. Draf... | (73 * 43) * 77 | 241703 | arithmetic | 4 | 2 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((45 + 85) / 94) / 11. 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. $45 + 85 = 130$
3. $130 / 94 =... | ((45 + 85) / 94) / 11 | -0.7403000652931426 | trig | 5 | 5 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: (12 / 74) * 65. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $12 / 74 = 0.16216216216216217$
2. $0.16216216216216217 * 65 = 10.5405405... | (12 / 74) * 65 | 10.54054054054054 | arithmetic | 3 | 2 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((csc(270) / 59) - 84) * 71. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $csc(270) = -1$
2. $-1 / 59 = -0.01694915254237288$
3. $-0... | ((csc(270) / 59) - 84) * 71 | -745.6504237288135 | trig | 5 | 5 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: (cbrt(125) * 59) / log(23, 3). 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(23, 3) = 2.8540498... | (cbrt(125) * 59) / log(23, 3) | 103.36189539455222 | mixed | 5 | 4 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: 89 + 8. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $89 + 8 = 97$
The answer is $97$
3. Drafting the response: "Ответ на ваш запрос в... | 89 + 8 | 97 | arithmetic | 3 | 1 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((log(46, 3) + cbrt(125)) * 83) + 77. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $log(46, 3) = 3.4849795837717283$
2. $cbrt(125) = 4... | ((log(46, 3) + cbrt(125)) * 83) + 77 | 781.2533054530534 | mixed | 4 | 5 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: (56 / 100) + log(50, 5). 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. $56 / 100 = 0.56$
3. $0.5... | (56 / 100) + log(50, 5) | 2.9906765580733934 | log | 4 | 3 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((log(42, 3) * 39) * cos(60)) - 91. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $log(42, 3) = 3.4021735027328797$
2. $cos(60) = 0.500... | ((log(42, 3) * 39) * cos(60)) - 91 | -24.65761669670883 | mixed | 1 | 5 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: (90 + sin(360)) + tan(60). 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. $tan(60) = 1.732050807... | (90 + sin(360)) + tan(60) | 91.73205080756888 | trig | 4 | 4 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: 42 * 82. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $42 * 82 = 3444$
The answer is $3444$
3. Drafting the response: "Ответ на ваш за... | 42 * 82 | 3444 | arithmetic | 1 | 1 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: (60 / 70) - 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. $60 / 70 = 0.8571428571428571$
3. $0.8571428571... | (60 / 70) - sqrt(16) | -3.142857142857143 | power | 4 | 3 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: (5**3 - log(20, 10)) + log(6, 3). This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $5**3 = 125$
2. $log(20, 10) = 1.301029995663981$
3. ... | (5**3 - log(20, 10)) + log(6, 3) | 125.32989975790747 | mixed | 2 | 5 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((32 + tan(225)) - 19) / 61. 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. $32 + 0.9999999999999997 ... | ((32 + tan(225)) - 19) / 61 | 16.98360655737705 | trig | 2 | 5 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: (6 * sin(30)) + 23. 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. $6 * 0.49999999999999994 = 2.99999... | (6 * sin(30)) + 23 | 26 | trig | 5 | 3 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: (31 + 54) - sin(90). This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $sin(90) = 1$
2. $31 + 54 = 85$
3. $85 - 1 = 84$
The answer is $... | (31 + 54) - sin(90) | 84 | trig | 1 | 3 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: 38 + 73. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $38 + 73 = 111$
The answer is $111$
3. Drafting the response: "Ответ на ваш запр... | 38 + 73 | 111 | arithmetic | 1 | 1 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: (9 - 17) - 86. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $9 - 17 = -8$
2. $-8 - 86 = -94$
The answer is $-94$
3. Drafting the res... | (9 - 17) - 86 | -94 | arithmetic | 4 | 2 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: (73 * 6**2) / 2**3. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $6**2 = 36$
2. $2**3 = 8$
3. $73 * 36 = 2628$
4. $2628 / 8 = 328.... | (73 * 6**2) / 2**3 | 328.5 | power | 1 | 4 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((cos(270) - tan(225)) / sec(60)) - cbrt(125). 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. $t... | ((cos(270) - tan(225)) / sec(60)) - cbrt(125) | 2.75 | mixed | 3 | 9 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: (91 / 66) - tan(360). 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. $91 / 66 = 1.37878787878787... | (91 / 66) - tan(360) | 1.3787878787878791 | trig | 3 | 3 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: (sqrt(81) + sec(60)) - 29. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $sqrt(81) = 9$
2. $sec(60) = 1.9999999999999996$
3. $9 + 1.9... | (sqrt(81) + sec(60)) - 29 | -18 | mixed | 5 | 4 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((2 - sec(240)) - 19) + cot(135). 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. $cot(135) = -0.9999... | ((2 - sec(240)) - 19) + cot(135) | -16 | trig | 4 | 5 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((89 + 70) * 59) / 48. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $sec(180) = -1$
2. $89 + 70 = 159$
3. $159 * 59 = 9381$
4. $93... | ((89 + 70) * 59) / 48 | -195.4375 | trig | 5 | 5 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((cos(45) - cbrt(64)) * 16) - sqrt(16). 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. $cbrt(64) = 3.9... | ((cos(45) - cbrt(64)) * 16) - sqrt(16) | -56.68629150101523 | mixed | 3 | 6 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: 7 - log(9, 2). This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $log(9, 2) = 3.1699250014423126$
2. $7 - 3.1699250014423126 = 3.8300749985... | 7 - log(9, 2) | 3.8300749985576874 | log | 1 | 2 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: (25 - 3) * 91. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $25 - 3 = 22$
2. $22 * 91 = 2002$
The answer is $2002$
3. Drafting the r... | (25 - 3) * 91 | 2002 | arithmetic | 1 | 2 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((5**4 + cot(90)) * log(9, 10)) - cbrt(64). This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $5**4 = 625$
2. $cot(90) = 6.123233995736766e... | ((5**4 + cot(90)) * log(9, 10)) - cbrt(64) | 592.4015683995781 | mixed | 3 | 9 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((log(45, 3) / sqrt(9)) * 22) + sin(360). This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $log(45, 3) = 3.4649735207179266$
2. $sqrt(9) =... | ((log(45, 3) / sqrt(9)) * 22) + sin(360) | 24.409805818598127 | mixed | 4 | 8 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: 57 / 31. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $57 / 31 = 1.8387096774193548$
The answer is $1.8387096774193548$
3. Drafting th... | 57 / 31 | 1.8387096774193548 | arithmetic | 1 | 1 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: (75 * 8) + 73. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $75 * 8 = 600$
2. $600 + 73 = 673$
The answer is $673$
3. Drafting the r... | (75 * 8) + 73 | 673 | arithmetic | 3 | 2 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((sqrt(16) / 67) / 64) * sqrt(100). This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $sqrt(16) = 4$
2. $sqrt(100) = 10$
3. $4 / 67 = 0.0... | ((sqrt(16) / 67) / 64) * sqrt(100) | 0.009328358208955223 | power | 3 | 5 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((60 - 96) * sin(45)) + sqrt(16). This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $sin(45) = 0.7071067811865476$
2. $sqrt(16) = 4$
3. $... | ((60 - 96) * sin(45)) + sqrt(16) | -1716.4675298172572 | mixed | 2 | 6 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: sqrt(64) - log(46, 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. $log(46, 5) = 2.378868651539773$
3. $8 - 2.378... | sqrt(64) - log(46, 5) | 5.621131348460227 | mixed | 1 | 3 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: cos(360) * 28. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $cos(360) = 1$
2. $1 * 28 = 28$
The answer is $28$
3. Drafting the respo... | cos(360) * 28 | 28 | trig | 5 | 2 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: 31 - log(26, 10). This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $log(26, 10) = 1.414973347970818$
2. $31 - 1.414973347970818 = 29.58502... | 31 - log(26, 10) | 29.585026652029182 | log | 5 | 2 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: 62 - 54. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $62 - 54 = 8$
The answer is $8$
3. Drafting the response: "Ответ на ваш запрос в... | 62 - 54 | 8 | arithmetic | 2 | 1 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: (96 - 45) + csc(45). This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $csc(45) = 1.414213562373095$
2. $96 - 45 = 51$
3. $51 + 1.4142135... | (96 - 45) + csc(45) | 52.41421356237309 | trig | 4 | 3 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: 65 - 28. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $65 - 28 = 37$
The answer is $37$
3. Drafting the response: "Ответ на ваш запрос... | 65 - 28 | 37 | arithmetic | 3 | 1 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: tan(180) * cos(45). 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) = 0.7071067811865476... | tan(180) * cos(45) | -8.659560562354934e-17 | trig | 4 | 3 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((log(12, 10) * cos(45)) + log(38, 10)) + 61. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $log(12, 10) = 1.0791812460476247$
2. $cos(... | ((log(12, 10) * cos(45)) + log(38, 10)) + 61 | 1.8097965706807553 | mixed | 1 | 7 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((sqrt(64) - 76) / 38) + 81. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $sqrt(64) = 8$
2. $8 - 76 = -68$
3. $-68 / 38 = -1.7894736... | ((sqrt(64) - 76) / 38) + 81 | 79.21052631578948 | power | 3 | 4 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: sqrt(49) - cbrt(216). This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $sqrt(49) = 7$
2. $cbrt(216) = 5.999999999999999$
3. $7 - 5.99999... | sqrt(49) - cbrt(216) | 1.0000000000000009 | power | 4 | 3 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((7 + log(34, 2)) / 5) - 88. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $log(34, 2) = 5.08746284125034$
2. $7 + 5.08746284125034 = 1... | ((7 + log(34, 2)) / 5) - 88 | -155.58250743174995 | log | 2 | 5 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((log(10, 2) + 73) + sqrt(100)) * 43. 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. $sqrt(100) = 1... | ((log(10, 2) + 73) + sqrt(100)) * 43 | 3711.842908080157 | mixed | 2 | 5 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((log(5, 2) - 9) + 63) - 47. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $log(5, 2) = 2.321928094887362$
2. $2.321928094887362 - 9 = ... | ((log(5, 2) - 9) + 63) - 47 | 9.321928094887362 | log | 1 | 4 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: (30 * sqrt(9)) - tan(315). This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $sqrt(9) = 3$
2. $tan(315) = -1.0000000000000004$
3. $30 * 3... | (30 * sqrt(9)) - tan(315) | 91 | mixed | 2 | 4 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: (log(8, 3) + 92) - cbrt(125). This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $log(8, 3) = 1.892789260714372$
2. $cbrt(125) = 4.999999999... | (log(8, 3) + 92) - cbrt(125) | 88.89278926071437 | mixed | 1 | 4 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((log(22, 5) * 57) / sec(45)) / 59. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $log(22, 5) = 1.9205726604783713$
2. $sec(45) = 1.414... | ((log(22, 5) * 57) / sec(45)) / 59 | 40.67244517218325 | mixed | 1 | 6 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((75 - 36) / 95) + csc(60). This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $csc(60) = 1.1547005383792517$
2. $75 - 36 = 39$
3. $39 / 9... | ((75 - 36) / 95) + csc(60) | 1.5652268541687253 | trig | 3 | 4 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: 7 / 83. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $7 / 83 = 0.08433734939759036$
The answer is $0.08433734939759036$
3. Drafting th... | 7 / 83 | 0.08433734939759036 | arithmetic | 5 | 1 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: sin(0) + 1. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $sin(0) = 0$
2. $0 + 1 = 1$
The answer is $1$
3. Drafting the response: "От... | sin(0) + 1 | 1 | trig | 3 | 2 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((27 * 36) + 42) / 65. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $27 * 36 = 972$
2. $972 + 42 = 1014$
3. $1014 / 65 = 15.6$
4. ... | ((27 * 36) + 42) / 65 | 0.21666666666666667 | arithmetic | 1 | 4 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: 39 / log(32, 2). This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $log(32, 2) = 5$
2. $39 / 5 = 7.8$
The answer is $7.8$
3. Drafting the... | 39 / log(32, 2) | 7.8 | log | 4 | 2 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((11 * sin(30)) + sin(270)) / 90. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $sin(30) = 0.49999999999999994$
2. $sin(270) = -1$
3.... | ((11 * sin(30)) + sin(270)) / 90 | 0.04999999999999999 | trig | 1 | 5 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: 62 + 22. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $62 + 22 = 84$
The answer is $84$
3. Drafting the response: "Ответ на ваш запрос... | 62 + 22 | 84 | arithmetic | 2 | 1 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((76 - 9) - cbrt(8)) / 78. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $cbrt(8) = 2$
2. $76 - 9 = 67$
3. $67 - 2 = 65$
4. $65 / 7... | ((76 - 9) - cbrt(8)) / 78 | 49.16666666666667 | power | 2 | 5 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((42 / 37) / cos(180)) + log(27, 3). This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $cos(180) = -1$
2. $log(27, 3) = 3$
3. $42 / 37 = ... | ((42 / 37) / cos(180)) + log(27, 3) | 1.864864864864865 | mixed | 2 | 5 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: (23 * 41) + 58. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $23 * 41 = 943$
2. $943 + 58 = 1001$
The answer is $1001$
3. Drafting t... | (23 * 41) + 58 | 1001 | arithmetic | 5 | 2 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((29 / cos(0)) + log(31, 2)) / 58. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $cos(0) = 1$
2. $log(31, 2) = 4.954196310386876$
3. ... | ((29 / cos(0)) + log(31, 2)) / 58 | 0.00780556237020388 | mixed | 5 | 6 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: (43 - 13) + 88. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $43 - 13 = 30$
2. $30 + 88 = 118$
The answer is $118$
3. Drafting the r... | (43 - 13) + 88 | 118 | arithmetic | 3 | 2 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: (23 * 6) - 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. $23 * 6 = 138$
3. $138 - 0.707106... | (23 * 6) - sin(45) | 137.29289321881345 | trig | 3 | 3 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: (37 / 13) - 19. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $37 / 13 = 2.8461538461538463$
2. $2.8461538461538463 - 19 = -16.15384615... | (37 / 13) - 19 | -16.153846153846153 | arithmetic | 1 | 2 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: (cbrt(27) / tan(30)) + tan(225). This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $cbrt(27) = 3$
2. $tan(30) = 0.5773502691896257$
3. $t... | (cbrt(27) / tan(30)) + tan(225) | 6.196152422706632 | mixed | 3 | 5 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: (68 / 12) * cos(30). 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. $68 / 12 = 5.666666666666667$
3.... | (68 / 12) * cos(30) | 4.90747728811182 | trig | 2 | 3 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: (cos(60) / 80) + 18. 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. $0.5000000000000001 / 80 = 0.00625... | (cos(60) / 80) + 18 | 18.00625 | trig | 2 | 3 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: (1 * 69) + 31. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $1 * 69 = 69$
2. $69 + 31 = 100$
The answer is $100$
3. Drafting the res... | (1 * 69) + 31 | 100 | arithmetic | 5 | 2 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((44 * 2**4) - 65) - sec(120). This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $2**4 = 16$
2. $sec(120) = -2.000000000000001$
3. $44 * ... | ((44 * 2**4) - 65) - sec(120) | 698 | mixed | 2 | 6 |
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