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: ((43 / 61) - 47) + 28. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $sqrt(49) = 7$
2. $43 / 61 = 0.7049180327868853$
3. $0.704918032... | ((43 / 61) - 47) + 28 | -11.295081967213115 | power | 3 | 5 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((27 + sec(0)) + 99) - cos(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. $cos(30) = 0.8660254037844387$
3. $27 +... | ((27 + sec(0)) + 99) - cos(30) | 126.13397459621557 | trig | 1 | 5 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((14 - sqrt(9)) / 60) / sec(45). This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $sqrt(9) = 3$
2. $sec(45) = 1.414213562373095$
3. $14 ... | ((14 - sqrt(9)) / 60) / sec(45) | 0.12963624321753373 | mixed | 5 | 5 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((87 + tan(60)) - 97) * 54. 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. $87 + 1.7320508075688767 = ... | ((87 + tan(60)) - 97) * 54 | -446.4692563912804 | trig | 3 | 4 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((30 * 46) - csc(90)) - 31. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $csc(90) = 1$
2. $30 * 46 = 1380$
3. $1380 - 1 = 1379$
4.... | ((30 * 46) - csc(90)) - 31 | 1348 | trig | 5 | 4 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: (43 - log(20, 2)) * cot(60). This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $log(20, 2) = 4.321928094887363$
2. $cot(60) = 0.57735026918... | (43 - log(20, 2)) * cot(60) | 22.33079522615249 | mixed | 3 | 4 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: 92 + 9. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $92 + 9 = 101$
The answer is $101$
3. Drafting the response: "Ответ на ваш запрос... | 92 + 9 | 101 | arithmetic | 4 | 1 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((cos(90) - 28) * 70) + 12. 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. $6.123233995736766e-17 -... | ((cos(90) - 28) * 70) + 12 | -1948 | trig | 3 | 4 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: 86 - 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. $86 - 0.8660254037844386 = 85.13397459621... | 86 - sin(60) | 85.13397459621557 | trig | 2 | 2 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((70 * log(47, 2)) + 32) / 89. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $log(47, 2) = 5.554588851677638$
2. $70 * 5.55458885167763... | ((70 * log(47, 2)) + 32) / 89 | 0.11820820775770635 | log | 2 | 5 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((26 + 50) + 57) * 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. $26 + 50 = 76$
3. $76 + 5... | ((26 + 50) + 57) * tan(45) | 132.99999999999997 | trig | 5 | 4 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: cos(90) - 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. $cos(90) = 6.123233995736766e-17$... | cos(90) - cos(90) | 0 | trig | 5 | 3 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: (36 / 35) + 25. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $36 / 35 = 1.0285714285714285$
2. $1.0285714285714285 + 25 = 26.028571428... | (36 / 35) + 25 | 26.02857142857143 | arithmetic | 3 | 2 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: (60 * 1) - 60. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $60 * 1 = 60$
2. $60 - 60 = 0$
The answer is $0$
3. Drafting the respons... | (60 * 1) - 60 | 0 | arithmetic | 4 | 2 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((15 / tan(225)) * 71) * 86. 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. $15 / 0.9999999999999997 ... | ((15 / tan(225)) * 71) * 86 | 1831800.000000001 | trig | 4 | 5 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((80 / log(15, 10)) * tan(0)) * 28. 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. $tan(0) = 0$
... | ((80 / log(15, 10)) * tan(0)) * 28 | 0 | mixed | 3 | 6 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: 75 - 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. $75 - 0.9999999999999999 = 74$
The answ... | 75 - tan(45) | 74 | trig | 1 | 2 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((cbrt(125) + 55) + 93) - csc(150). 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. $csc(150) = 2.0000... | ((cbrt(125) + 55) + 93) - csc(150) | 151 | mixed | 2 | 5 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((sin(270) / cos(30)) / 17) / 36. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $sin(270) = -1$
2. $cos(30) = 0.8660254037844387$
3. ... | ((sin(270) / cos(30)) / 17) / 36 | -0.0018867655855870124 | trig | 3 | 5 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((csc(30) + 46) * 41) / 72. 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. $2.0000000000000004 + 46 = ... | ((csc(30) + 46) * 41) / 72 | 27.333333333333332 | trig | 2 | 4 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: 4 * tan(135). 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. $4 * -1.0000000000000002 = -4.000000000... | 4 * tan(135) | -4.000000000000001 | trig | 3 | 2 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((sqrt(36) / 46) - 7) + 51. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $sqrt(36) = 6$
2. $6 / 46 = 0.13043478260869565$
3. $0.1304... | ((sqrt(36) / 46) - 7) + 51 | 44.130434782608695 | power | 1 | 4 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: (62 / 95) * 22. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $62 / 95 = 0.6526315789473685$
2. $0.6526315789473685 * 22 = 14.357894736... | (62 / 95) * 22 | 14.357894736842105 | arithmetic | 3 | 2 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: (sec(45) - 98) * 83. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $sec(45) = 1.414213562373095$
2. $1.414213562373095 - 98 = -96.58578... | (sec(45) - 98) * 83 | -8016.620274323033 | trig | 3 | 3 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((sin(180) * 66) / sqrt(16)) + tan(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. $sqrt(16)... | ((sin(180) * 66) / sqrt(16)) + tan(180) | 1.8982025386783976e-15 | mixed | 1 | 6 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((78 - csc(270)) + cot(225)) + 64. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $csc(270) = -1$
2. $cot(225) = 1.0000000000000004$
3... | ((78 - csc(270)) + cot(225)) + 64 | 2.7169811320754715 | trig | 3 | 6 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: (80 - 77) / 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. $80 - 77 = 3$
3. $3 / 0.70710678... | (80 - 77) / sin(45) | 4.242640687119285 | trig | 3 | 3 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: cos(30) * 20. 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 * 20 = 17.32050807568... | cos(30) * 20 | 17.320508075688775 | trig | 3 | 2 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((tan(315) * 76) + 11) + 72. 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. $-1.0000000000000004 * 7... | ((tan(315) * 76) + 11) + 72 | -27.00000000000003 | trig | 4 | 5 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: 86 / 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. $86 / 4.999999999999999 = 17.200000000... | 86 / cbrt(125) | 17.200000000000003 | power | 3 | 2 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((58 + 71) * 7) + 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. $cot(90) = 6.123233995736... | ((58 + 71) * 7) + cos(90) | 5.5292802981502995e-14 | trig | 2 | 6 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: (79 * sin(270)) * 62. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $sin(270) = -1$
2. $79 * -1 = -79$
3. $-79 * 62 = -4898$
The an... | (79 * sin(270)) * 62 | -4898 | trig | 3 | 3 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: (57 / 83) * csc(270). This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $csc(270) = -1$
2. $57 / 83 = 0.6867469879518072$
3. $0.686746987... | (57 / 83) * csc(270) | -0.6867469879518072 | trig | 2 | 3 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: (81 / 6**2) / 50. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $6**2 = 36$
2. $81 / 36 = 2.25$
3. $2.25 / 50 = 0.045$
The answer i... | (81 / 6**2) / 50 | 0.045 | power | 2 | 3 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: sqrt(81) - 9. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $sqrt(81) = 9$
2. $9 - 9 = 0$
The answer is $0$
3. Drafting the response:... | sqrt(81) - 9 | 0 | power | 4 | 2 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: 90 + 86. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $90 + 86 = 176$
The answer is $176$
3. Drafting the response: "Ответ на ваш запр... | 90 + 86 | 176 | arithmetic | 3 | 1 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: (70 + tan(60)) * 71. 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. $70 + 1.7320508075688767 = 71.7320... | (70 + tan(60)) * 71 | 5092.975607337391 | trig | 2 | 3 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: 3 * 88. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $3 * 88 = 264$
The answer is $264$
3. Drafting the response: "Ответ на ваш запрос... | 3 * 88 | 264 | arithmetic | 2 | 1 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((49 + 94) / 13) - sin(360). This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $sin(360) = -2.4492935982947064e-16$
2. $49 + 94 = 143$
3.... | ((49 + 94) / 13) - sin(360) | 70 | trig | 2 | 5 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: (log(26, 10) / tan(30)) - sqrt(4). 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. $tan(30) = 0.5773... | (log(26, 10) / tan(30)) - sqrt(4) | 0.45080573004129354 | mixed | 4 | 5 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: 3**4 - tan(315). This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $3**4 = 81$
2. $tan(315) = -1.0000000000000004$
3. $81 - -1.0000000000... | 3**4 - tan(315) | 82 | mixed | 3 | 3 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((65 / 35) - 13) * tan(225). 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. $65 / 35 = 1.857142857142... | ((65 / 35) - 13) * tan(225) | -935.9999999999997 | trig | 4 | 5 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: 3**2 + 70. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $3**2 = 9$
2. $9 + 70 = 79$
The answer is $79$
3. Drafting the response: "От... | 3**2 + 70 | 79 | power | 1 | 2 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: 92 * 3. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $92 * 3 = 276$
The answer is $276$
3. Drafting the response: "Ответ на ваш запрос... | 92 * 3 | 276 | arithmetic | 4 | 1 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: (86 * 30) / 72. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $86 * 30 = 2580$
2. $2580 / 72 = 35.833333333333336$
The answer is $35.... | (86 * 30) / 72 | 35.833333333333336 | arithmetic | 5 | 2 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: (6**4 / 40) - log(41, 10). This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $6**4 = 1296$
2. $log(41, 10) = 1.6127838567197355$
3. $1296... | (6**4 / 40) - log(41, 10) | 30.78721614328026 | mixed | 1 | 4 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((32 - 99) * 47) / 65. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $32 - 99 = -67$
2. $-67 * 47 = -3149$
3. $-3149 / 65 = -48.44615... | ((32 - 99) * 47) / 65 | -48.44615384615385 | arithmetic | 5 | 3 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((31 + 15) - 14) + 23. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $31 + 15 = 46$
2. $46 - 14 = 32$
3. $32 + 23 = 55$
4. $55 / 7 ... | ((31 + 15) - 14) + 23 | 7.857142857142857 | arithmetic | 5 | 4 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((cos(90) + 51) * 67) * 93. 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. $6.123233995736766e-17 +... | ((cos(90) + 51) * 67) * 93 | 317743 | trig | 5 | 5 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: (20 - 97) / 4. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $20 - 97 = -77$
2. $-77 / 4 = -19.25$
The answer is $-19.25$
3. Drafting... | (20 - 97) / 4 | -19.25 | arithmetic | 3 | 2 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((33 + 25) + 9) / 89. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $33 + 25 = 58$
2. $58 + 9 = 67$
3. $67 / 89 = 0.7528089887640449$... | ((33 + 25) + 9) / 89 | 7.752808988764045 | arithmetic | 4 | 4 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((48 * 23) / 33) * 21. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $2**4 = 16$
2. $48 * 23 = 1104$
3. $1104 / 33 = 33.4545454545454... | ((48 * 23) / 33) * 21 | 11240.727272727272 | power | 2 | 5 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((cos(60) + 2) - tan(30)) - cot(270). This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $cos(60) = 0.5000000000000001$
2. $tan(30) = 0.5773... | ((cos(60) + 2) - tan(30)) - cot(270) | 1.922649730810374 | trig | 2 | 6 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((30 * 2**2) / 63) * 64. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $2**2 = 4$
2. $sqrt(9) = 3$
3. $30 * 4 = 120$
4. $120 / 63 =... | ((30 * 2**2) / 63) * 64 | 124.9047619047619 | power | 1 | 6 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((47 - sin(0)) + 90) * tan(30). This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $sin(0) = 0$
2. $tan(30) = 0.5773502691896257$
3. $47 -... | ((47 - sin(0)) + 90) * tan(30) | 79.09698687897873 | trig | 3 | 5 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((sqrt(4) + sqrt(100)) * tan(180)) * sec(360). This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $sqrt(4) = 2$
2. $sqrt(100) = 10$
3. $ta... | ((sqrt(4) + sqrt(100)) * tan(180)) * sec(360) | -1.4695761589768238e-15 | mixed | 2 | 7 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: (92 / 86) * 45. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $92 / 86 = 1.069767441860465$
2. $1.069767441860465 * 45 = 48.13953488372... | (92 / 86) * 45 | 48.13953488372093 | arithmetic | 3 | 2 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((80 * 3**2) - csc(210)) / tan(135). 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. ... | ((80 * 3**2) - csc(210)) / tan(135) | -721.9999999999999 | mixed | 4 | 6 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: (cos(360) / 10) * log(7, 3). This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $cos(360) = 1$
2. $log(7, 3) = 1.7712437491614221$
3. $1 /... | (cos(360) / 10) * log(7, 3) | 0.17712437491614222 | mixed | 1 | 4 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: (sin(90) - cot(45)) / 19. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $sin(90) = 1$
2. $cot(45) = 1.0000000000000002$
3. $1 - 1.000... | (sin(90) - cot(45)) / 19 | -1.1686558153949016e-17 | trig | 1 | 4 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((6**2 / 92) + 11) * 4. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $6**2 = 36$
2. $36 / 92 = 0.391304347826087$
3. $0.391304347826... | ((6**2 / 92) + 11) * 4 | 45.56521739130435 | power | 5 | 4 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: 37 + 18. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $37 + 18 = 55$
The answer is $55$
3. Drafting the response: "Ответ на ваш запрос... | 37 + 18 | 55 | arithmetic | 5 | 1 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: (55 + 5**4) * tan(360). This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $5**4 = 625$
2. $tan(360) = -2.4492935982947064e-16$
3. $55 + 6... | (55 + 5**4) * tan(360) | -1.6655196468404003e-13 | mixed | 2 | 4 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((92 + csc(270)) / cos(0)) - 13. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $csc(270) = -1$
2. $cos(0) = 1$
3. $92 + -1 = 91$
4.... | ((92 + csc(270)) / cos(0)) - 13 | 18 | trig | 2 | 6 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((sqrt(49) + 13) * 63) - 13. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $sqrt(49) = 7$
2. $7 + 13 = 20$
3. $20 * 63 = 1260$
4. $... | ((sqrt(49) + 13) * 63) - 13 | 155.875 | power | 5 | 5 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((6 - 30) / tan(225)) / 66. 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. $6 - 30 = -24$
3. $-24 /... | ((6 - 30) / tan(225)) / 66 | 99.63636363636364 | trig | 5 | 5 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((5**4 * 17) - log(49, 10)) * csc(150). This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $5**4 = 625$
2. $log(49, 10) = 1.6901960800285134... | ((5**4 * 17) - log(49, 10)) * csc(150) | 21246.619607839948 | mixed | 5 | 6 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((tan(135) * 92) + log(20, 2)) * sqrt(100). 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. $log(20, ... | ((tan(135) * 92) + log(20, 2)) * sqrt(100) | -876.7807190511264 | mixed | 3 | 6 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((cos(360) - tan(45)) / 83) * sqrt(36). This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $cos(360) = 1$
2. $tan(45) = 0.9999999999999999$
... | ((cos(360) - tan(45)) / 83) * sqrt(36) | 4.494396822578948e-16 | mixed | 2 | 7 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: (16 + 78) / 81. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $16 + 78 = 94$
2. $94 / 81 = 1.1604938271604939$
The answer is $1.16049... | (16 + 78) / 81 | 1.1604938271604939 | arithmetic | 5 | 2 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: 81 - 58. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $81 - 58 = 23$
The answer is $23$
3. Drafting the response: "Ответ на ваш запрос... | 81 - 58 | 23 | arithmetic | 2 | 1 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: cbrt(8) + 87. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $cbrt(8) = 2$
2. $2 + 87 = 89$
The answer is $89$
3. Drafting the respons... | cbrt(8) + 87 | 89 | power | 4 | 2 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((sec(30) + 23) + 29) - sqrt(100). 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. $sqrt(100) = 10$
3... | ((sec(30) + 23) + 29) - sqrt(100) | 43.15470053837925 | mixed | 3 | 5 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((sec(360) - 58) / 46) - tan(60). This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $sec(360) = 1$
2. $tan(60) = 1.7320508075688767$
3. $... | ((sec(360) - 58) / 46) - tan(60) | -2.971181242351485 | trig | 3 | 5 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((sin(45) + tan(45)) * sqrt(4)) / 2. 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. $tan(45) = 0.99999... | ((sin(45) + tan(45)) * sqrt(4)) / 2 | 2.707106781186547 | mixed | 2 | 8 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: (40 + tan(225)) - 76. 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. $40 + 0.9999999999999997 = 41$
... | (40 + tan(225)) - 76 | -35 | trig | 4 | 3 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((77 / 49) + sec(30)) * 37. 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. $77 / 49 = 1.57142857142857... | ((77 / 49) + sec(30)) * 37 | 100.86677706288944 | trig | 2 | 4 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((2**2 + 16) + 100) * log(34, 5). This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $2**2 = 4$
2. $log(34, 5) = 2.1910509857959815$
3. $4... | ((2**2 + 16) + 100) * log(34, 5) | 262.92611829551777 | mixed | 3 | 5 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((87 - sqrt(64)) - 14) * 3. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $sqrt(64) = 8$
2. $cos(30) = 0.8660254037844387$
3. $87 - 8... | ((87 - sqrt(64)) - 14) * 3 | 195.86602540378445 | mixed | 3 | 6 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: (2 / 95) - 5. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $2 / 95 = 0.021052631578947368$
2. $0.021052631578947368 - 5 = -4.978947368... | (2 / 95) - 5 | -4.978947368421053 | arithmetic | 3 | 2 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: (4**3 + 73) + 10. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $4**3 = 64$
2. $64 + 73 = 137$
3. $137 + 10 = 147$
The answer is $1... | (4**3 + 73) + 10 | 147 | power | 3 | 3 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((24 * 75) * 69) - 67. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $24 * 75 = 1800$
2. $1800 * 69 = 124200$
3. $124200 - 67 = 12413... | ((24 * 75) * 69) - 67 | 124133 | arithmetic | 4 | 3 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((cbrt(27) / 50) + sin(270)) / cos(45). This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $cbrt(27) = 3$
2. $sin(270) = -1$
3. $cos(45) =... | ((cbrt(27) / 50) + sin(270)) / cos(45) | -101.3293607486307 | mixed | 4 | 7 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((100 - tan(30)) + 66) * 29. 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. $100 - 0.5773502691896257 ... | ((100 - tan(30)) + 66) * 29 | 4894.256842193501 | trig | 3 | 5 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: 10 - cos(0). This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $cos(0) = 1$
2. $10 - 1 = 9$
The answer is $9$
3. Drafting the response: "... | 10 - cos(0) | 9 | trig | 3 | 2 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((3**4 - log(20, 5)) * sqrt(16)) - 3**2. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $3**4 = 81$
2. $log(20, 5) = 1.8613531161467862$... | ((3**4 - log(20, 5)) * sqrt(16)) - 3**2 | 307.55458753541285 | mixed | 1 | 7 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((sin(0) - sqrt(9)) - sqrt(9)) - 20. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $sin(0) = 0$
2. $sqrt(9) = 3$
3. $sqrt(9) = 3$
4... | ((sin(0) - sqrt(9)) - sqrt(9)) - 20 | -26 | mixed | 1 | 6 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: (cbrt(8) / sqrt(49)) * sec(45). This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $cbrt(8) = 2$
2. $sqrt(49) = 7$
3. $sec(45) = 1.4142135... | (cbrt(8) / sqrt(49)) * sec(45) | 0.4040610178208842 | mixed | 1 | 5 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: (62 - sin(360)) + 87. 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. $62 - -2.4492935982947064e-... | (62 - sin(360)) + 87 | 149 | trig | 2 | 3 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: 36 / 86. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $36 / 86 = 0.4186046511627907$
The answer is $0.4186046511627907$
3. Drafting th... | 36 / 86 | 0.4186046511627907 | arithmetic | 3 | 1 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((95 * 42) - sin(60)) - 56. 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. $95 * 42 = 3990$
3. $3990... | ((95 * 42) - sin(60)) - 56 | 3986.1339745962155 | trig | 5 | 5 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: (91 * 9) * tan(60). This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $tan(60) = 1.7320508075688767$
2. $91 * 9 = 819$
3. $819 * 1.732050... | (91 * 9) * tan(60) | 1418.54961139891 | trig | 1 | 3 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: 11 * 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. $11 * 0.8660254037844387 = 9.526279441628... | 11 * cos(30) | 9.526279441628827 | trig | 4 | 2 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((65 - sqrt(49)) / 27) - 44. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $sqrt(49) = 7$
2. $65 - 7 = 58$
3. $58 / 27 = 2.1481481481... | ((65 - sqrt(49)) / 27) - 44 | -41.851851851851855 | power | 3 | 4 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((csc(45) * log(46, 2)) / 23) * 24. 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. $log(46, 2) = 5.5235... | ((csc(45) * log(46, 2)) / 23) * 24 | 16.302253003542027 | mixed | 4 | 7 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((sin(180) + 30) - 69) * 33. 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) + 30) - 69) * 33 | -1248 | trig | 4 | 5 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: (tan(0) / 11) + 19. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $tan(0) = 0$
2. $0 / 11 = 0$
3. $0 + 19 = 19$
The answer is $19$
... | (tan(0) / 11) + 19 | 19 | trig | 3 | 3 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: (38 + 12) * 38. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $38 + 12 = 50$
2. $50 * 38 = 1900$
The answer is $1900$
3. Drafting the... | (38 + 12) * 38 | 1900 | arithmetic | 5 | 2 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((17 + cos(45)) + 19) + 100. 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. $17 + 0.7071067811865476 =... | ((17 + cos(45)) + 19) + 100 | 1.8727000928929665 | trig | 3 | 5 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: (77 + log(12, 2)) * cot(315). This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $log(12, 2) = 3.5849625007211565$
2. $cot(315) = -0.9999999... | (77 + log(12, 2)) * cot(315) | -80.58496250072112 | mixed | 3 | 4 |
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