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: (sqrt(16) - tan(315)) * sqrt(9). This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $sqrt(16) = 4$
2. $tan(315) = -1.0000000000000004$
3. ... | (sqrt(16) - tan(315)) * sqrt(9) | 15 | mixed | 1 | 5 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((18 / cbrt(27)) * 7) * 61. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $cbrt(27) = 3$
2. $18 / 3 = 6$
3. $6 * 7 = 42$
4. $42 * 6... | ((18 / cbrt(27)) * 7) * 61 | 2562 | power | 1 | 4 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: (9 - 71) * 58. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $9 - 71 = -62$
2. $-62 * 58 = -3596$
The answer is $-3596$
3. Drafting t... | (9 - 71) * 58 | -3596 | arithmetic | 2 | 2 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: (log(24, 10) - 16) - 73. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $log(24, 10) = 1.380211241711606$
2. $1.380211241711606 - 16 = -... | (log(24, 10) - 16) - 73 | -87.6197887582884 | log | 2 | 3 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: 92 / 87. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $92 / 87 = 1.0574712643678161$
The answer is $1.0574712643678161$
3. Drafting th... | 92 / 87 | 1.0574712643678161 | arithmetic | 2 | 1 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: (25 * 90) * 80. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $25 * 90 = 2250$
2. $2250 * 80 = 180000$
The answer is $180000$
3. Draf... | (25 * 90) * 80 | 180000 | arithmetic | 4 | 2 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((91 / 34) * sin(90)) * cbrt(27). This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $sin(90) = 1$
2. $cbrt(27) = 3$
3. $91 / 34 = 2.67647... | ((91 / 34) * sin(90)) * cbrt(27) | -31.970588235294116 | mixed | 3 | 6 |
<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: cos(45) / 6. 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. $0.7071067811865476 / 6 = 0.11785113019775... | cos(45) / 6 | 0.11785113019775793 | trig | 2 | 2 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((tan(360) - 23) * cos(270)) * 43. 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. $cos(270) = -1... | ((tan(360) - 23) * cos(270)) * 43 | 1.8167635265350983e-13 | trig | 2 | 5 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: (22 + log(50, 5)) * log(19, 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. $log(19, 5) = 1.8294... | (22 + log(50, 5)) * log(19, 5) | 44.69550256598949 | log | 3 | 4 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((tan(60) / 92) + 40) - sin(180). 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. $sin(180) = 1.2246467... | ((tan(60) / 92) + 40) - sin(180) | 0.5002353329901588 | trig | 2 | 6 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: 4**3 + 46. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $4**3 = 64$
2. $64 + 46 = 110$
The answer is $110$
3. Drafting the response:... | 4**3 + 46 | 110 | power | 4 | 2 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: 5 + 56. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $5 + 56 = 61$
The answer is $61$
3. Drafting the response: "Ответ на ваш запрос в... | 5 + 56 | 61 | arithmetic | 4 | 1 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: csc(150) + 5**3. 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. $5**3 = 125$
3. $2.0000000000000004... | csc(150) + 5**3 | 127 | mixed | 3 | 3 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: log(46, 3) - sqrt(81). 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. $sqrt(81) = 9$
3. $3.484979... | log(46, 3) - sqrt(81) | -5.515020416228271 | mixed | 4 | 3 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: (cos(30) * 38) / 99. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $cos(30) = 0.8660254037844387$
2. $0.8660254037844387 * 38 = 32.9089... | (cos(30) * 38) / 99 | 0.33241379135160276 | trig | 4 | 3 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((94 - sqrt(81)) / cbrt(64)) + 75. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $sqrt(81) = 9$
2. $cbrt(64) = 3.9999999999999996$
3.... | ((94 - sqrt(81)) / cbrt(64)) + 75 | 7315 | power | 5 | 6 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((tan(45) / 36) * sqrt(9)) - 23. 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. $sqrt(9) = 3$
3. $0.... | ((tan(45) / 36) * sqrt(9)) - 23 | -22.916666666666668 | mixed | 4 | 5 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: (61 - 68) + 27. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $61 - 68 = -7$
2. $-7 + 27 = 20$
The answer is $20$
3. Drafting the res... | (61 - 68) + 27 | 20 | arithmetic | 5 | 2 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((78 + 28) / 78) - 79. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $78 + 28 = 106$
2. $106 / 78 = 1.358974358974359$
3. $1.35897435... | ((78 + 28) / 78) - 79 | -1.2940170940170939 | arithmetic | 4 | 4 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((cot(270) / tan(45)) + 38) + cbrt(125). 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. $tan(45) = ... | ((cot(270) / tan(45)) + 38) + cbrt(125) | 1677 | mixed | 3 | 7 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((9 - log(3, 2)) * tan(135)) / cos(180). 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. $tan(135) = ... | ((9 - log(3, 2)) * tan(135)) / cos(180) | 8.920187477598752 | mixed | 2 | 8 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: log(24, 10) + csc(60). This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $log(24, 10) = 1.380211241711606$
2. $csc(60) = 1.1547005383792517... | log(24, 10) + csc(60) | 2.534911780090858 | mixed | 2 | 3 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: (sin(180) - 6**2) / tan(30). 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. $6**2 = 36$
3. $tan... | (sin(180) - 6**2) / tan(30) | -62.353829072479584 | mixed | 1 | 5 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: (58 / 37) * log(49, 10). This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $log(49, 10) = 1.6901960800285134$
2. $58 / 37 = 1.5675675675675... | (58 / 37) * log(49, 10) | 2.6494965578825345 | log | 5 | 3 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((18 * 81) - 3**2) * 20. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $3**2 = 9$
2. $18 * 81 = 1458$
3. $1458 - 9 = 1449$
4. $1449... | ((18 * 81) - 3**2) * 20 | 28980 | power | 5 | 4 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: 12 - 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. $12 - 4.999999999999999 = 7.0000000000... | 12 - cbrt(125) | 7.000000000000001 | power | 3 | 2 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: sqrt(49) + 22. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $sqrt(49) = 7$
2. $7 + 22 = 29$
The answer is $29$
3. Drafting the respo... | sqrt(49) + 22 | 29 | power | 1 | 2 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: (60 / 70) + 61. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $60 / 70 = 0.8571428571428571$
2. $0.8571428571428571 + 61 = 61.857142857... | (60 / 70) + 61 | 61.857142857142854 | arithmetic | 3 | 2 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: (22 + 91) + 82. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $22 + 91 = 113$
2. $113 + 82 = 195$
The answer is $195$
3. Drafting the... | (22 + 91) + 82 | 195 | arithmetic | 5 | 2 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((sec(30) / 3**4) - 14) / 47. 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. $3**4 = 81$
3. $1.15470... | ((sec(30) / 3**4) - 14) / 47 | 31.702430969408557 | mixed | 5 | 6 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((sin(270) + sin(360)) - 4) / cos(60). This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $sin(270) = -1$
2. $sin(360) = -2.4492935982947064... | ((sin(270) + sin(360)) - 4) / cos(60) | -9.999999999999998 | trig | 2 | 6 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: (90 - cot(45)) * 58. 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. $90 - 1.0000000000000002 = 89$
3... | (90 - cot(45)) * 58 | 5162 | trig | 4 | 3 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((36 + 61) + cos(90)) + 35. 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. $36 + 61 = 97$
3. $97 ... | ((36 + 61) + cos(90)) + 35 | 8316 | trig | 1 | 5 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((sqrt(16) * sqrt(9)) + 92) - 55. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $sqrt(16) = 4$
2. $sqrt(9) = 3$
3. $sin(360) = -2.449... | ((sqrt(16) * sqrt(9)) + 92) - 55 | 49 | mixed | 5 | 7 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: 75 + 89. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $75 + 89 = 164$
The answer is $164$
3. Drafting the response: "Ответ на ваш запр... | 75 + 89 | 164 | arithmetic | 3 | 1 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: (log(27, 2) - tan(0)) / 52. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $log(27, 2) = 4.754887502163469$
2. $tan(0) = 0$
3. $4.7548... | (log(27, 2) - tan(0)) / 52 | 0.0914401442723744 | mixed | 4 | 4 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((93 + 49) + 85) / 12. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $93 + 49 = 142$
2. $142 + 85 = 227$
3. $227 / 12 = 18.9166666666... | ((93 + 49) + 85) / 12 | 77.91666666666667 | arithmetic | 2 | 4 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: 42 * 6. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $42 * 6 = 252$
The answer is $252$
3. Drafting the response: "Ответ на ваш запрос... | 42 * 6 | 252 | arithmetic | 5 | 1 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((10 * 18) + log(47, 10)) / 94. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $log(47, 10) = 1.6720978579357173$
2. $10 * 18 = 180$
3... | ((10 * 18) + log(47, 10)) / 94 | 1.932681892105699 | log | 5 | 4 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((sqrt(64) / csc(45)) + 13) * 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. $csc(45) = 1.414213562373095$
3. $8 ... | ((sqrt(64) / csc(45)) + 13) * 5 | 93.2842712474619 | mixed | 2 | 5 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((76 - log(37, 3)) * log(16, 2)) / 46. 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. $log(16, 2) =... | ((76 - log(37, 3)) * log(16, 2)) / 46 | 0.06322887032328844 | log | 1 | 6 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((sin(45) * 70) * 14) + sec(120). 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. $sec(120) = -2.000000... | ((sin(45) * 70) * 14) + sec(120) | 690.9646455628166 | trig | 5 | 5 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((40 * 64) - log(45, 2)) * 4. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $log(45, 2) = 5.491853096329675$
2. $40 * 64 = 2560$
3. $... | ((40 * 64) - log(45, 2)) * 4 | 10218.032587614682 | log | 4 | 4 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: (83 * 70) * 86. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $83 * 70 = 5810$
2. $5810 * 86 = 499660$
The answer is $499660$
3. Draf... | (83 * 70) * 86 | 499660 | arithmetic | 5 | 2 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: (cos(0) - 40) * 47. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $cos(0) = 1$
2. $1 - 40 = -39$
3. $-39 * 47 = -1833$
The answer i... | (cos(0) - 40) * 47 | -1833 | trig | 4 | 3 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: sin(0) * 86. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $sin(0) = 0$
2. $0 * 86 = 0$
The answer is $0$
3. Drafting the response: "... | sin(0) * 86 | 0 | trig | 5 | 2 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((77 - sqrt(16)) * sec(45)) * 25. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $sqrt(16) = 4$
2. $sec(45) = 1.414213562373095$
3. $7... | ((77 - sqrt(16)) * sec(45)) * 25 | 2580.939751330898 | mixed | 2 | 5 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((58 * 92) + 74) + sqrt(64). This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $sqrt(64) = 8$
2. $cos(360) = 1$
3. $58 * 92 = 5336$
4. ... | ((58 * 92) + 74) + sqrt(64) | 5419 | mixed | 1 | 6 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((97 * sqrt(4)) + 84) - 99. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $sqrt(4) = 2$
2. $97 * 2 = 194$
3. $194 + 84 = 278$
4. $2... | ((97 * sqrt(4)) + 84) - 99 | 200 | power | 4 | 5 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((48 / cot(60)) * sqrt(64)) + sin(180). 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. $sqrt(64) = 8$
... | ((48 / cot(60)) * sqrt(64)) + sin(180) | 680.1075101064487 | mixed | 4 | 7 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((65 / 65) * 3**2) + csc(210). This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $3**2 = 9$
2. $csc(210) = -1.9999999999999996$
3. $65 / ... | ((65 / 65) * 3**2) + csc(210) | 7 | mixed | 5 | 5 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((87 + log(17, 2)) / 63) - tan(45). This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $log(17, 2) = 4.08746284125034$
2. $tan(45) = 0.99999... | ((87 + log(17, 2)) / 63) - tan(45) | 4.904160178631014 | mixed | 3 | 6 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((94 / cbrt(125)) / 4**3) + 2. 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. $4**3 = 64$
3. $94 / ... | ((94 / cbrt(125)) / 4**3) + 2 | 56.29375 | power | 5 | 6 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((sqrt(16) / 6**2) + cos(180)) - 87. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $sqrt(16) = 4$
2. $6**2 = 36$
3. $cos(180) = -1$
... | ((sqrt(16) / 6**2) + cos(180)) - 87 | -87.88888888888889 | mixed | 5 | 6 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((86 * 50) / 86) + 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. $86 * 50 = 4300$
3. $4300 / 86 = 50$
4. ... | ((86 * 50) / 86) + sqrt(4) | 52 | power | 1 | 4 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((sec(0) * 41) / 92) - cos(180). This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $sec(0) = 1$
2. $cos(180) = -1$
3. $1 * 41 = 41$
4. ... | ((sec(0) * 41) / 92) - cos(180) | 1.4456521739130435 | trig | 4 | 5 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: tan(30) * log(37, 3). This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $tan(30) = 0.5773502691896257$
2. $log(37, 3) = 3.2867991282182727$... | tan(30) * log(37, 3) | 1.897634361449047 | mixed | 5 | 3 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((84 / 93) + log(39, 3)) - 93. 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. $84 / 93 = 0.90322580... | ((84 / 93) + log(39, 3)) - 93 | 1.2379433259244053 | log | 1 | 5 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((log(9, 2) / 31) + sqrt(36)) - 56. 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. $sqrt(36) = 6$
... | ((log(9, 2) / 31) + sqrt(36)) - 56 | -103.89774435479218 | mixed | 3 | 6 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((28 + sin(0)) * 19) / 99. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $sin(0) = 0$
2. $28 + 0 = 28$
3. $28 * 19 = 532$
4. $532 /... | ((28 + sin(0)) * 19) / 99 | 0.5970819304152637 | trig | 1 | 5 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((6**3 / tan(315)) * 41) / log(30, 10). This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $6**3 = 216$
2. $tan(315) = -1.0000000000000004$
... | ((6**3 / tan(315)) * 41) / log(30, 10) | -124.90511487157194 | mixed | 5 | 7 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((72 / 37) + tan(60)) + cos(180). 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. $cos(180) = -1$
3. ... | ((72 / 37) + tan(60)) + cos(180) | 0.6694991883787057 | mixed | 4 | 7 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((sec(0) * sin(360)) * 89) / 44. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $sec(0) = 1$
2. $sin(360) = -2.4492935982947064e-16$
3... | ((sec(0) * sin(360)) * 89) / 44 | -4.95425296018702e-16 | trig | 3 | 5 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((csc(90) - 22) / sec(45)) * cot(225). This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $csc(90) = 1$
2. $sec(45) = 1.414213562373095$
3... | ((csc(90) - 22) / sec(45)) * cot(225) | -14.849242404917506 | trig | 4 | 6 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((tan(60) + 79) * 47) / 3. 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. $6**3 = 216$
3. $1.7320508... | ((tan(60) + 79) * 47) / 3 | 1480.802129318579 | mixed | 2 | 6 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((59 - 25) * 25) - 8. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $59 - 25 = 34$
2. $34 * 25 = 850$
3. $850 - 8 = 842$
4. $842 / ... | ((59 - 25) * 25) - 8 | 27.161290322580644 | arithmetic | 1 | 4 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((tan(315) + 31) / tan(225)) - 40. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $tan(315) = -1.0000000000000004$
2. $tan(225) = 0.9999... | ((tan(315) + 31) / tan(225)) - 40 | -9.99999999999999 | trig | 2 | 5 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: sin(30) + 20. 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. $0.49999999999999994 + 20 = 20.5$
The ... | sin(30) + 20 | 20.5 | trig | 5 | 2 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((sec(120) / 5**4) - sqrt(49)) + 89. 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. $5**4 = 625$
3.... | ((sec(120) / 5**4) - sqrt(49)) + 89 | 20.499200000000005 | mixed | 4 | 8 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((cos(60) - 2) - 94) + sin(0). 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. $sin(0) = 0$
3. $0.500... | ((cos(60) - 2) - 94) + sin(0) | -95.5 | trig | 2 | 5 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: (cot(30) - 30) + 70. 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. $1.7320508075688774 - 30 = -28.267... | (cot(30) - 30) + 70 | 41.73205080756888 | trig | 4 | 3 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((79 + cbrt(216)) + 9) * 5**4. 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. $5**4 = 625$
3. $79 +... | ((79 + cbrt(216)) + 9) * 5**4 | 58750 | power | 2 | 5 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((71 + sqrt(9)) - cbrt(8)) - 67. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $sqrt(9) = 3$
2. $cbrt(8) = 2$
3. $71 + 3 = 74$
4. $... | ((71 + sqrt(9)) - cbrt(8)) - 67 | 5 | power | 1 | 5 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((log(39, 10) + 39) * tan(225)) + 62. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $log(39, 10) = 1.591064607026499$
2. $tan(225) = 0.... | ((log(39, 10) + 39) * tan(225)) + 62 | 102.59106460702648 | mixed | 2 | 5 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: 40 * csc(30). This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $csc(30) = 2.0000000000000004$
2. $40 * 2.0000000000000004 = 80.00000000000... | 40 * csc(30) | 80.00000000000001 | trig | 5 | 2 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((84 * 77) - cbrt(64)) * 29. 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. $cos(180) = -1$
3. $84 ... | ((84 * 77) - cbrt(64)) * 29 | -187456 | mixed | 4 | 6 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((19 / cos(180)) + 96) - sqrt(81). This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $cos(180) = -1$
2. $sqrt(81) = 9$
3. $19 / -1 = -19$... | ((19 / cos(180)) + 96) - sqrt(81) | 68 | mixed | 5 | 5 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((log(42, 3) / 44) + sqrt(36)) - 11. 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. $sqrt(36) = 6$
... | ((log(42, 3) / 44) + sqrt(36)) - 11 | -4.922677874937889 | mixed | 4 | 5 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((47 * 10) + 78) * 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. $47 * 10 = 470$
3. $470 +... | ((47 * 10) + 78) * tan(30) | 316.3879475159149 | trig | 5 | 4 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((84 / 76) / 22) - 30. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $84 / 76 = 1.105263157894737$
2. $1.105263157894737 / 22 = 0.05023... | ((84 / 76) / 22) - 30 | -29.949760765550238 | arithmetic | 4 | 3 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((48 / 72) - 22) * 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. $48 / 72 = 0.6666666... | ((48 / 72) - 22) * cos(270) | 92 | trig | 2 | 5 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((34 + 80) + cbrt(27)) + 60. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $cbrt(27) = 3$
2. $34 + 80 = 114$
3. $114 + 3 = 117$
4. ... | ((34 + 80) + cbrt(27)) + 60 | 177 | power | 2 | 4 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((15 * tan(225)) / csc(30)) - cot(135). 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. $csc(30) = 2.0... | ((15 * tan(225)) / csc(30)) - cot(135) | 8.499999999999995 | trig | 4 | 6 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: (59 * 24) / 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. $59 * 24 = 1416$
3. $1416 / 2 = 708$
The answer... | (59 * 24) / sqrt(4) | 708 | power | 1 | 3 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: tan(45) * 40. 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 * 40 = 39.99999999999... | tan(45) * 40 | 39.99999999999999 | trig | 2 | 2 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: 3 / cbrt(216). 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. $3 / 5.999999999999999 = 0.500000000000... | 3 / cbrt(216) | 0.5000000000000001 | power | 3 | 2 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((24 - tan(180)) * sin(0)) + cot(30). 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. $sin(0) = 0... | ((24 - tan(180)) * sin(0)) + cot(30) | 1.7320508075688774 | trig | 4 | 6 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((sqrt(4) - cos(90)) * 43) + 51. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $sqrt(4) = 2$
2. $cos(90) = 6.123233995736766e-17$
3. ... | ((sqrt(4) - cos(90)) * 43) + 51 | 137 | mixed | 4 | 5 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: (55 + csc(45)) + 91. 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. $55 + 1.414213562373095 = 56.414213... | (55 + csc(45)) + 91 | 147.4142135623731 | trig | 2 | 3 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((3 + sqrt(16)) - sqrt(25)) / 44. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $sqrt(16) = 4$
2. $sqrt(25) = 5$
3. $3 + 4 = 7$
4. ... | ((3 + sqrt(16)) - sqrt(25)) / 44 | 0.045454545454545456 | power | 1 | 5 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: 24 + 92. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $24 + 92 = 116$
The answer is $116$
3. Drafting the response: "Ответ на ваш запр... | 24 + 92 | 116 | arithmetic | 2 | 1 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((sqrt(9) - sin(30)) * sqrt(4)) * 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. $sin(30) = 0.4999999999999999... | ((sqrt(9) - sin(30)) * sqrt(4)) * sqrt(9) | 15 | mixed | 3 | 7 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: (87 - tan(30)) + cos(180). 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. $cos(180) = -1$
3. $87 - 0... | (87 - tan(30)) + cos(180) | 85.42264973081038 | trig | 3 | 4 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((40 * 7) * 59) * 37. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $40 * 7 = 280$
2. $280 * 59 = 16520$
3. $16520 * 37 = 611240$
T... | ((40 * 7) * 59) * 37 | 611240 | arithmetic | 4 | 3 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: 60 / 51. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $60 / 51 = 1.1764705882352942$
The answer is $1.1764705882352942$
3. Drafting th... | 60 / 51 | 1.1764705882352942 | arithmetic | 2 | 1 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: (cos(270) * 87) - 65. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $cos(270) = -1.8369701987210297e-16$
2. $-1.8369701987210297e-16 * ... | (cos(270) * 87) - 65 | -65.00000000000001 | trig | 5 | 3 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((41 / 26) + tan(60)) - 50. 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. $41 / 26 = 1.57692307692307... | ((41 / 26) + tan(60)) - 50 | -46.691026115508045 | trig | 1 | 4 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((29 - 43) * 29) / 96. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $29 - 43 = -14$
2. $-14 * 29 = -406$
3. $-406 / 96 = -4.22916666... | ((29 - 43) * 29) / 96 | -4.229166666666667 | arithmetic | 1 | 3 |
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