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: ((85 + 61) * 27) + 100. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $85 + 61 = 146$
2. $146 * 27 = 3942$
3. $3942 + 100 = 4042$
T... | ((85 + 61) * 27) + 100 | 4042 | arithmetic | 2 | 3 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((sqrt(4) * 3) + 3) + 12. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $sqrt(4) = 2$
2. $2 * 3 = 6$
3. $6 + 3 = 9$
4. $9 + 12 = 21... | ((sqrt(4) * 3) + 3) + 12 | 100 | power | 4 | 5 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((log(9, 5) - 14) + 13) / 27. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $log(9, 5) = 1.3652123889719707$
2. $1.3652123889719707 - 1... | ((log(9, 5) - 14) + 13) / 27 | 0.013526384776739656 | log | 4 | 4 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((41 + 43) * 27) - 78. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $sin(0) = 0$
2. $41 + 43 = 84$
3. $84 * 27 = 2268$
4. $2268 - ... | ((41 + 43) * 27) - 78 | 2190 | trig | 1 | 5 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: (73 + 76) - cos(90). 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. $73 + 76 = 149$
3. $149 - 6.1... | (73 + 76) - cos(90) | 149 | trig | 1 | 3 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: 9 * 4. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $9 * 4 = 36$
The answer is $36$
3. Drafting the response: "Ответ на ваш запрос в р... | 9 * 4 | 36 | arithmetic | 1 | 1 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((tan(360) * sec(240)) / 25) - sqrt(25). 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. $sec(240... | ((tan(360) * sec(240)) / 25) - sqrt(25) | -5 | mixed | 2 | 6 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((22 * 77) * tan(135)) + 29. 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. $22 * 77 = 1694$
3. $1... | ((22 * 77) * tan(135)) + 29 | -1715.0000000000005 | trig | 4 | 5 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((cos(180) - sqrt(100)) - 73) + log(6, 5). This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $cos(180) = -1$
2. $sqrt(100) = 10$
3. $log(... | ((cos(180) - sqrt(100)) - 73) + log(6, 5) | -82.88671724744061 | mixed | 3 | 6 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((cos(360) * cos(0)) + 53) / cbrt(216). This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $cos(360) = 1$
2. $cos(0) = 1$
3. $cbrt(216) = ... | ((cos(360) * cos(0)) + 53) / cbrt(216) | 297.00000000000006 | mixed | 5 | 7 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: (log(19, 3) - sin(45)) + 12. 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. $sin(45) = 0.70710678118... | (log(19, 3) - sin(45)) + 12 | 13.973037078059829 | mixed | 3 | 4 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: cos(180) - cos(0). This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $cos(180) = -1$
2. $cos(0) = 1$
3. $-1 - 1 = -2$
The answer is $-2... | cos(180) - cos(0) | -2 | trig | 2 | 3 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((49 * sqrt(16)) * cbrt(64)) / 5. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $sqrt(16) = 4$
2. $cbrt(64) = 3.9999999999999996$
3. ... | ((49 * sqrt(16)) * cbrt(64)) / 5 | 156.79999999999998 | power | 1 | 5 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((75 / 40) + cos(45)) - 91. 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. $75 / 40 = 1.875$
3. $1.8... | ((75 / 40) + cos(45)) - 91 | -88.41789321881345 | trig | 5 | 4 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: (sqrt(100) / sqrt(81)) / 45. 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 = 1.11111111... | (sqrt(100) / sqrt(81)) / 45 | 0.02469135802469136 | power | 1 | 4 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((cos(45) - 64) - 24) / 55. 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. $sec(0) = 1$
3. $0.707106... | ((cos(45) - 64) - 24) / 55 | -1.5871435130693354 | trig | 4 | 6 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: (15 * cos(30)) * 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. $15 * 0.8660254037844387 = 12.9903... | (15 * cos(30)) * 15 | 194.8557158514987 | trig | 4 | 3 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((sin(90) / 17) + 9) / log(46, 10). This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $sin(90) = 1$
2. $log(46, 10) = 1.6627578316815739$
... | ((sin(90) / 17) + 9) / log(46, 10) | 5.448071485100407 | mixed | 4 | 5 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((69 - 39) + csc(210)) + 49. 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. $69 - 39 = 30$
3. $30 ... | ((69 - 39) + csc(210)) + 49 | 77 | trig | 1 | 4 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: 55 / 21. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $55 / 21 = 2.619047619047619$
The answer is $2.619047619047619$
3. Drafting the ... | 55 / 21 | 2.619047619047619 | arithmetic | 3 | 1 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((35 / cbrt(216)) - log(31, 5)) - log(48, 3). 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. $log(31,... | ((35 / cbrt(216)) - log(31, 5)) - log(48, 3) | 0.004630476422899511 | mixed | 5 | 7 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: 42 / 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. $42 / 1 = 42$
The answer is $42$
3. Drafting the respo... | 42 / cos(360) | 42 | trig | 3 | 2 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: log(32, 3) * sqrt(64). This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $log(32, 3) = 3.154648767857287$
2. $sqrt(64) = 8$
3. $3.1546487... | log(32, 3) * sqrt(64) | 25.237190142858296 | mixed | 2 | 3 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((6**2 - 58) + 10) * 53. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $6**2 = 36$
2. $cbrt(216) = 5.999999999999999$
3. $36 - 58 = -... | ((6**2 - 58) + 10) * 53 | -3815.9999999999995 | power | 4 | 6 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: (9 / 39) * 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. $9 / 39 = 0.23076923076923078$
3. $0.23076923076... | (9 / 39) * cbrt(27) | 0.6923076923076923 | power | 5 | 3 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: tan(45) + 42. 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. $0.9999999999999999 + 42 = 43$
The answ... | tan(45) + 42 | 43 | trig | 5 | 2 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: sin(45) - csc(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. $csc(45) = 1.414213562373095$
3. $... | sin(45) - csc(45) | -0.7071067811865474 | trig | 2 | 3 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: 10 - 35. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $10 - 35 = -25$
The answer is $-25$
3. Drafting the response: "Ответ на ваш запр... | 10 - 35 | -25 | arithmetic | 2 | 1 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: (cos(60) - cot(225)) - cbrt(125). This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $cos(60) = 0.5000000000000001$
2. $cot(225) = 1.0000000... | (cos(60) - cot(225)) - cbrt(125) | -5.499999999999999 | mixed | 3 | 5 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: 48 + cbrt(125). 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. $48 + 4.999999999999999 = 53$
The an... | 48 + cbrt(125) | 53 | power | 1 | 2 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((87 - cos(90)) * 60) / 6**3. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $cos(90) = 6.123233995736766e-17$
2. $6**3 = 216$
3. $87 ... | ((87 - cos(90)) * 60) / 6**3 | 0.6712962962962963 | mixed | 3 | 6 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((log(6, 2) * 39) + 92) / 3**2. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $log(6, 2) = 2.584962500721156$
2. $3**2 = 9$
3. $2.584... | ((log(6, 2) * 39) + 92) / 3**2 | 21.4237263920139 | mixed | 1 | 5 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: (3 + log(37, 3)) - 87. 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. $3 + 3.2867991282182727 = 6.2... | (3 + log(37, 3)) - 87 | -80.71320087178172 | log | 2 | 3 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((log(19, 3) * 19) + 59) + 99. 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. $2.680143859246375 * 1... | ((log(19, 3) * 19) + 59) + 99 | 208.92273332568112 | log | 4 | 4 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((11 - 97) / 20) + 84. 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. $11 - 97 = -86$
3. $-86 / 20 =... | ((11 - 97) / 20) + 84 | 46.01481645441317 | trig | 5 | 5 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: (5**3 + 34) * 62. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $5**3 = 125$
2. $125 + 34 = 159$
3. $159 * 62 = 9858$
The answer is... | (5**3 + 34) * 62 | 9858 | power | 1 | 3 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: cbrt(64) / 27. 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. $3.9999999999999996 / 27 = 0.1481481481... | cbrt(64) / 27 | 0.14814814814814814 | power | 3 | 2 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: sqrt(25) / 82. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $sqrt(25) = 5$
2. $5 / 82 = 0.06097560975609756$
The answer is $0.060975... | sqrt(25) / 82 | 0.06097560975609756 | power | 5 | 2 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: 61 - 67. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $61 - 67 = -6$
The answer is $-6$
3. Drafting the response: "Ответ на ваш запрос... | 61 - 67 | -6 | arithmetic | 3 | 1 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: (4**3 * sin(360)) - 5**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. $sin(360) = -2.4492935982947064e-16$
3. $5**3 ... | (4**3 * sin(360)) - 5**3 | -125.00000000000001 | mixed | 3 | 5 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((sqrt(64) / cbrt(125)) + 81) + sin(360). This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $sqrt(64) = 8$
2. $cbrt(125) = 4.99999999999999... | ((sqrt(64) / cbrt(125)) + 81) + sin(360) | 82.6 | mixed | 3 | 6 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: 62 + 27. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $62 + 27 = 89$
The answer is $89$
3. Drafting the response: "Ответ на ваш запрос... | 62 + 27 | 89 | arithmetic | 5 | 1 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: (log(15, 10) * 31) - 98. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $log(15, 10) = 1.1760912590556811$
2. $1.1760912590556811 * 31 =... | (log(15, 10) * 31) - 98 | -61.541170969273885 | log | 5 | 3 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: 70 - 53. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $70 - 53 = 17$
The answer is $17$
3. Drafting the response: "Ответ на ваш запрос... | 70 - 53 | 17 | arithmetic | 1 | 1 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: (66 / 76) * tan(45). This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $tan(45) = 0.9999999999999999$
2. $66 / 76 = 0.868421052631579$
3.... | (66 / 76) * tan(45) | 0.8684210526315789 | trig | 5 | 3 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((76 + 66) - 41) - 18. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $76 + 66 = 142$
2. $142 - 41 = 101$
3. $101 - 18 = 83$
4. $83 ... | ((76 + 66) - 41) - 18 | 1.3833333333333333 | arithmetic | 2 | 4 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: (68 * 48) * 12. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $68 * 48 = 3264$
2. $3264 * 12 = 39168$
The answer is $39168$
3. Drafti... | (68 * 48) * 12 | 39168 | arithmetic | 1 | 2 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: (95 + 53) / 71. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $95 + 53 = 148$
2. $148 / 71 = 2.084507042253521$
The answer is $2.0845... | (95 + 53) / 71 | 2.084507042253521 | arithmetic | 5 | 2 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: log(16, 2) * 73. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $log(16, 2) = 4$
2. $4 * 73 = 292$
The answer is $292$
3. Drafting the... | log(16, 2) * 73 | 292 | log | 5 | 2 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((12 + 97) - 73) + tan(180). 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. $12 + 97 = 109$
3.... | ((12 + 97) - 73) + tan(180) | 36 | trig | 3 | 4 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((93 - cot(45)) * cos(30)) / log(2, 5). 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. $cos(30) = 0.86... | ((93 - cot(45)) * cos(30)) / log(2, 5) | 184.49808186585997 | mixed | 2 | 8 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: (sec(360) / sin(45)) + log(36, 5). This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $sec(360) = 1$
2. $sin(45) = 0.7071067811865476$
3. ... | (sec(360) / sin(45)) + log(36, 5) | 3.640779067491852 | mixed | 2 | 5 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: (7 + sec(0)) - tan(30). This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $sec(0) = 1$
2. $tan(30) = 0.5773502691896257$
3. $7 + 1 = 8$
... | (7 + sec(0)) - tan(30) | 7.422649730810374 | trig | 2 | 4 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((91 / sqrt(100)) - 40) - log(32, 10). 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(32, 10) = 1.5051499783199... | ((91 / sqrt(100)) - 40) - log(32, 10) | 46.594850021680095 | mixed | 4 | 6 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: (cbrt(27) - cos(0)) - 13. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $cbrt(27) = 3$
2. $cos(0) = 1$
3. $3 - 1 = 2$
4. $2 - 13 = ... | (cbrt(27) - cos(0)) - 13 | -11 | mixed | 1 | 4 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((26 + 45) - 62) - 67. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $26 + 45 = 71$
2. $71 - 62 = 9$
3. $9 - 67 = -58$
The answer i... | ((26 + 45) - 62) - 67 | -58 | arithmetic | 1 | 3 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((cot(90) / 60) * 43) * 79. 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. $6.123233995736766e-17 /... | ((cot(90) / 60) * 43) * 79 | 21.000000000000004 | trig | 1 | 5 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: (45 - log(42, 5)) + 1. 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. $45 - 2.322344707681546 = 42.6... | (45 - log(42, 5)) + 1 | 43.677655292318455 | log | 2 | 3 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((83 / csc(30)) - 22) / 53. 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. $83 / 2.0000000000000004 = ... | ((83 / csc(30)) - 22) / 53 | 0.36792452830188666 | trig | 4 | 4 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((sqrt(25) + sec(180)) - 13) + 38. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $sqrt(25) = 5$
2. $sec(180) = -1$
3. $5 + -1 = 4$
... | ((sqrt(25) + sec(180)) - 13) + 38 | -13 | mixed | 1 | 6 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((41 * 2**3) / log(5, 2)) - sqrt(100). This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $2**3 = 8$
2. $log(5, 2) = 2.321928094887362$
3.... | ((41 * 2**3) / log(5, 2)) - sqrt(100) | 208.26191104807293 | mixed | 3 | 7 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((3 - cot(270)) / cos(360)) + sin(45). 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. $cos(360) = 1... | ((3 - cot(270)) / cos(360)) + sin(45) | 57.707106781186546 | trig | 1 | 7 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((39 + cos(180)) * 16) - 79. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $cos(180) = -1$
2. $sin(90) = 1$
3. $39 + -1 = 38$
4. $3... | ((39 + cos(180)) * 16) - 79 | 529 | trig | 3 | 6 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: 87 + 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. $87 + 3.9999999999999996 = 91$
The an... | 87 + cbrt(64) | 91 | power | 1 | 2 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: sec(240) + 65. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $sec(240) = -1.9999999999999982$
2. $-1.9999999999999982 + 65 = 63$
The ... | sec(240) + 65 | 63 | trig | 4 | 2 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: (sin(0) - sin(45)) - csc(270). This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $sin(0) = 0$
2. $sin(45) = 0.7071067811865476$
3. $csc(2... | (sin(0) - sin(45)) - csc(270) | 0.2928932188134524 | trig | 5 | 5 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: 90 * 80. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $90 * 80 = 7200$
The answer is $7200$
3. Drafting the response: "Ответ на ваш за... | 90 * 80 | 7200 | arithmetic | 2 | 1 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((94 * 30) + 21) + 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. $94 * 30 = 2820$
3. $2820 + 21 = 2841$
... | ((94 * 30) + 21) + sqrt(16) | 2845 | power | 4 | 4 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: cot(60) * 94. 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. $0.577350269189626 * 94 = 54.2709253038248... | cot(60) * 94 | 54.27092530382484 | trig | 1 | 2 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((99 + sec(30)) + log(11, 5)) - 99. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $sec(30) = 1.1547005383792515$
2. $log(11, 5) = 1.489... | ((99 + sec(30)) + log(11, 5)) - 99 | 2.644596640784229 | mixed | 5 | 5 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: cot(45) / 47. 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. $1.0000000000000002 / 47 = 0.021276595744... | cot(45) / 47 | 0.021276595744680857 | trig | 4 | 2 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((44 * cos(30)) + 62) - sqrt(9). 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. $sqrt(9) = 3$
3. $44... | ((44 * cos(30)) + 62) - sqrt(9) | 97.1051177665153 | mixed | 1 | 5 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((91 * 88) + sqrt(25)) * cbrt(64). This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $sqrt(25) = 5$
2. $cbrt(64) = 3.9999999999999996$
3.... | ((91 * 88) + sqrt(25)) * cbrt(64) | 32128.999999999996 | power | 2 | 6 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: (tan(135) - 3**4) * 31. 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. $3**4 = 81$
3. $-1.00000000... | (tan(135) - 3**4) * 31 | -2542 | mixed | 3 | 4 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: (91 + 36) - sin(60). This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $sin(60) = 0.8660254037844386$
2. $91 + 36 = 127$
3. $127 - 0.8660... | (91 + 36) - sin(60) | 126.13397459621557 | trig | 4 | 3 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((69 + 59) + 4**4) / 19. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $4**4 = 256$
2. $69 + 59 = 128$
3. $128 + 256 = 384$
4. $384... | ((69 + 59) + 4**4) / 19 | 20.210526315789473 | power | 3 | 4 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: sin(30) + 55. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $sin(30) = 0.49999999999999994$
2. $0.49999999999999994 + 55 = 55.5$
The ... | sin(30) + 55 | 55.5 | trig | 3 | 2 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((sqrt(25) + 79) - 59) - sec(360). This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $sqrt(25) = 5$
2. $sec(360) = 1$
3. $5 + 79 = 84$
... | ((sqrt(25) + 79) - 59) - sec(360) | 24 | mixed | 5 | 5 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((83 + cos(270)) - 7) - 40. 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. $83 + -1.836970198721... | ((83 + cos(270)) - 7) - 40 | 36 | trig | 2 | 4 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: (39 + 48) * 27. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $39 + 48 = 87$
2. $87 * 27 = 2349$
The answer is $2349$
3. Drafting the... | (39 + 48) * 27 | 2349 | arithmetic | 2 | 2 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: cos(60) + 22. 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. $0.5000000000000001 + 22 = 22.5$
The an... | cos(60) + 22 | 22.5 | trig | 4 | 2 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((79 - 90) + 47) + sin(180). 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. $79 - 90 = -11$
3. ... | ((79 - 90) + 47) + sin(180) | 0.8181818181818182 | trig | 3 | 5 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((99 - 98) + 57) + 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. $99 - 98 = 1$
3. $1 + 57 = 58$
4. $58... | ((99 - 98) + 57) + sin(270) | 57 | trig | 5 | 4 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((sqrt(16) - 49) + 19) - log(40, 10). This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $sqrt(16) = 4$
2. $log(40, 10) = 1.6020599913279623... | ((sqrt(16) - 49) + 19) - log(40, 10) | -27.602059991327963 | mixed | 5 | 5 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((sin(180) - 10) / 53) / 12. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $sin(180) = 1.2246467991473532e-16$
2. $1.2246467991473532e-... | ((sin(180) - 10) / 53) / 12 | -0.015723270440251572 | trig | 4 | 4 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: sqrt(100) / 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. $10 / 66 = 0.15151515151515152$
The answer is $0.15... | sqrt(100) / 66 | 0.15151515151515152 | power | 5 | 2 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: (71 / 67) + 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. $71 / 67 = 1.0597014925373134$
3. $1.059701492537... | (71 / 67) + sin(90) | 2.0597014925373136 | trig | 1 | 3 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: (sqrt(16) / 28) + sqrt(4). This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $sqrt(16) = 4$
2. $sqrt(4) = 2$
3. $4 / 28 = 0.1428571428571... | (sqrt(16) / 28) + sqrt(4) | 2.142857142857143 | power | 2 | 4 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((sin(360) * 98) - sqrt(4)) * sqrt(81). 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(4) ... | ((sin(360) * 98) - sqrt(4)) * sqrt(81) | -18.000000000000217 | mixed | 4 | 6 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((99 * 16) + 4) / 98. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $99 * 16 = 1584$
2. $1584 + 4 = 1588$
3. $1588 / 98 = 16.20408163... | ((99 * 16) + 4) / 98 | 16.20408163265306 | arithmetic | 4 | 3 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: 75 * log(48, 3). This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $log(48, 3) = 3.5237190142858297$
2. $75 * 3.5237190142858297 = 264.2789... | 75 * log(48, 3) | 264.27892607143724 | log | 2 | 2 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: (log(29, 10) + 79) * cos(45). This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $log(29, 10) = 1.462397997898956$
2. $cos(45) = 0.707106781... | (log(29, 10) + 79) * cos(45) | 56.89550725484524 | mixed | 1 | 4 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((29 / 97) / 91) + tan(30). 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. $29 / 97 = 0.29896907216494... | ((29 / 97) / 91) + tan(30) | 35.58063564360902 | trig | 4 | 5 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((cot(30) * csc(150)) * 40) + 96. 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. $csc(150) = 2.0000000... | ((cot(30) * csc(150)) * 40) + 96 | 8444.306325798369 | trig | 5 | 6 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: (41 - 2) / 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. $41 - 2 = 39$
3. $39 / 2 = 19.5$
The answer is $... | (41 - 2) / sqrt(4) | 19.5 | power | 1 | 3 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((sin(270) * 25) + 45) + 68. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $sin(270) = -1$
2. $-1 * 25 = -25$
3. $-25 + 45 = 20$
4.... | ((sin(270) * 25) + 45) + 68 | 88 | trig | 5 | 4 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((log(21, 5) + 30) * 39) * cos(60). This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $log(21, 5) = 1.8916681496081529$
2. $cos(60) = 0.500... | ((log(21, 5) + 30) * 39) * cos(60) | 621.8875289173591 | mixed | 3 | 5 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((tan(30) * 2**4) / 98) / log(19, 2). 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. $2**4 = 16$
3. ... | ((tan(30) * 2**4) / 98) / log(19, 2) | 0.022189942775814837 | mixed | 2 | 6 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((log(19, 5) - cot(135)) * 3**4) / 35. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $log(19, 5) = 1.8294828004351504$
2. $cot(135) = -... | ((log(19, 5) - cot(135)) * 3**4) / 35 | 6.548231623864205 | mixed | 2 | 6 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((2 / 52) - sec(360)) - 99. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $sec(360) = 1$
2. $2 / 52 = 0.038461538461538464$
3. $0.038... | ((2 / 52) - sec(360)) - 99 | -99.96153846153847 | trig | 5 | 4 |
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