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: (88 - log(7, 3)) * 75. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $log(7, 3) = 1.7712437491614221$
2. $88 - 1.7712437491614221 = 86.... | (88 - log(7, 3)) * 75 | 6467.156718812893 | log | 2 | 3 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((cot(60) + log(10, 3)) + 93) - cot(135). 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. $log(10, 3) = ... | ((cot(60) + log(10, 3)) + 93) - cot(135) | 96.673253543479 | mixed | 1 | 6 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: (sin(360) * tan(360)) * 43. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $sin(360) = -2.4492935982947064e-16$
2. $tan(360) = -2.449293... | (sin(360) * tan(360)) * 43 | 2.579586826178395e-30 | trig | 3 | 4 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((21 * 20) * 17) - 56. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $21 * 20 = 420$
2. $420 * 17 = 7140$
3. $7140 - 56 = 7084$
4. ... | ((21 * 20) * 17) - 56 | 7174 | arithmetic | 2 | 4 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((14 / 6**2) + cos(30)) * cos(270). This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $6**2 = 36$
2. $cos(30) = 0.8660254037844387$
3. $c... | ((14 / 6**2) + cos(30)) * cos(270) | 0.9999999999999998 | mixed | 2 | 8 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: 76 + cot(225). This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $cot(225) = 1.0000000000000004$
2. $76 + 1.0000000000000004 = 77$
The an... | 76 + cot(225) | 77 | trig | 1 | 2 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: (29 * cot(315)) - 99. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $cot(315) = -0.9999999999999996$
2. $29 * -0.9999999999999996 = -28... | (29 * cot(315)) - 99 | -127.99999999999999 | trig | 1 | 3 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: 65 + 40. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $65 + 40 = 105$
The answer is $105$
3. Drafting the response: "Ответ на ваш запр... | 65 + 40 | 105 | arithmetic | 2 | 1 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((cot(30) * tan(30)) + 89) / sec(120). 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. $tan(30) = 0.577... | ((cot(30) * tan(30)) + 89) / sec(120) | 37.00000000000002 | trig | 1 | 7 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((sin(180) - 75) - 76) + sqrt(81). 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. $sqrt(81) = 9$
... | ((sin(180) - 75) - 76) + sqrt(81) | -142 | mixed | 5 | 5 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((5 * sqrt(81)) + 46) + 63. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $sqrt(81) = 9$
2. $5 * 9 = 45$
3. $45 + 46 = 91$
4. $91 +... | ((5 * sqrt(81)) + 46) + 63 | 161 | power | 5 | 5 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: 3**4 / 4**3. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $3**4 = 81$
2. $4**3 = 64$
3. $81 / 64 = 1.265625$
The answer is $1.2656... | 3**4 / 4**3 | 1.265625 | power | 5 | 3 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((tan(60) - tan(0)) / 84) * 17. 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. $tan(0) = 0$
3. $1.73... | ((tan(60) - tan(0)) / 84) * 17 | 65.35053409200799 | trig | 4 | 6 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((sqrt(4) / sqrt(9)) / 43) * 3. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $sqrt(4) = 2$
2. $sqrt(9) = 3$
3. $2 / 3 = 0.6666666666... | ((sqrt(4) / sqrt(9)) / 43) * 3 | 0.046511627906976744 | power | 4 | 5 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((log(49, 5) + 76) / 93) / log(26, 10). This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $log(49, 5) = 2.418123910244335$
2. $log(26, 10) ... | ((log(49, 5) + 76) / 93) / log(26, 10) | 39.595916265598014 | log | 3 | 6 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: (log(6, 5) / csc(45)) / 13. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $log(6, 5) = 1.1132827525593785$
2. $csc(45) = 1.414213562373... | (log(6, 5) / csc(45)) / 13 | 0.06055459874713553 | mixed | 2 | 4 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((9 / 87) * cos(30)) / sin(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. $sin(30) = 0.4999999999... | ((9 / 87) * cos(30)) / sin(30) | 0.17917766974850458 | trig | 1 | 5 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: (100 - 86) + 61. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $100 - 86 = 14$
2. $14 + 61 = 75$
The answer is $75$
3. Drafting the r... | (100 - 86) + 61 | 75 | arithmetic | 5 | 2 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((sqrt(25) / 87) / cbrt(64)) * 22. 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.... | ((sqrt(25) / 87) / cbrt(64)) * 22 | 0.31609195402298856 | power | 4 | 5 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: (88 + sin(180)) - cos(270). 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. $cos(270) = -1.8369701... | (88 + sin(180)) - cos(270) | 88 | trig | 2 | 4 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((cbrt(27) - 83) - 11) * 84. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $cbrt(27) = 3$
2. $3 - 83 = -80$
3. $-80 - 11 = -91$
4. ... | ((cbrt(27) - 83) - 11) * 84 | -7644 | power | 2 | 4 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: 16 * log(49, 3). This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $log(49, 3) = 3.5424874983228443$
2. $16 * 3.5424874983228443 = 56.67979... | 16 * log(49, 3) | 56.67979997316551 | log | 1 | 2 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((14 * 74) + 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. $cbrt(216) = 5.999999999999... | ((14 * 74) + 11) - cos(30) | 1040.1339745962155 | mixed | 2 | 6 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: 61 / 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. $61 / 3.9999999999999996 = 15.250000000... | 61 / cbrt(64) | 15.250000000000002 | power | 4 | 2 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: 31 + 92. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $31 + 92 = 123$
The answer is $123$
3. Drafting the response: "Ответ на ваш запр... | 31 + 92 | 123 | arithmetic | 2 | 1 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((7 / sqrt(9)) - log(15, 5)) + 24. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $sqrt(9) = 3$
2. $log(15, 5) = 1.6826061944859854$
3... | ((7 / sqrt(9)) - log(15, 5)) + 24 | 32.071335422568545 | mixed | 3 | 7 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: (59 * 53) - sin(0). This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $sin(0) = 0$
2. $59 * 53 = 3127$
3. $3127 - 0 = 3127$
The answer ... | (59 * 53) - sin(0) | 3127 | trig | 4 | 3 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: (3**2 / 11) * 35. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $3**2 = 9$
2. $9 / 11 = 0.8181818181818182$
3. $0.8181818181818182 * ... | (3**2 / 11) * 35 | 28.636363636363637 | power | 4 | 3 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: sin(30) + cbrt(27). This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $sin(30) = 0.49999999999999994$
2. $cbrt(27) = 3$
3. $0.49999999999... | sin(30) + cbrt(27) | 3.5 | mixed | 1 | 3 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: sec(0) + sin(0). This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $sec(0) = 1$
2. $sin(0) = 0$
3. $1 + 0 = 1$
The answer is $1$
3. Dra... | sec(0) + sin(0) | 1 | trig | 2 | 3 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((34 + tan(225)) * 100) - sin(0). 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. $sin(0) = 0$
3. $3... | ((34 + tan(225)) * 100) - sin(0) | 3584 | trig | 4 | 6 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((48 - 23) / 60) - 35. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $48 - 23 = 25$
2. $25 / 60 = 0.4166666666666667$
3. $0.416666666... | ((48 - 23) / 60) - 35 | -34.583333333333336 | arithmetic | 5 | 3 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: (1 - 48) + cos(60). This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $cos(60) = 0.5000000000000001$
2. $1 - 48 = -47$
3. $-47 + 0.500000... | (1 - 48) + cos(60) | -46.5 | trig | 5 | 3 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((cos(0) / sqrt(16)) * 58) * cos(360). This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $cos(0) = 1$
2. $sqrt(16) = 4$
3. $cos(360) = 1$... | ((cos(0) / sqrt(16)) * 58) * cos(360) | 14.5 | mixed | 4 | 6 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: cos(0) - 27. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $cos(0) = 1$
2. $1 - 27 = -26$
The answer is $-26$
3. Drafting the respons... | cos(0) - 27 | -26 | trig | 5 | 2 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: (85 + 100) * 59. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $85 + 100 = 185$
2. $185 * 59 = 10915$
The answer is $10915$
3. Drafti... | (85 + 100) * 59 | 10915 | arithmetic | 2 | 2 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: 5 + 21. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $5 + 21 = 26$
The answer is $26$
3. Drafting the response: "Ответ на ваш запрос в... | 5 + 21 | 26 | arithmetic | 2 | 1 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((30 / 75) * 3) - log(19, 5). 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. $30 / 75 = 0.4$
3. $... | ((30 / 75) * 3) - log(19, 5) | -0.007493842862323218 | log | 2 | 5 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: sin(30) + 31. 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. $0.49999999999999994 + 31 = 31.5$
The ... | sin(30) + 31 | 31.5 | trig | 4 | 2 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((9 + 65) + cot(225)) + 71. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $cot(225) = 1.0000000000000004$
2. $cot(60) = 0.5773502691896... | ((9 + 65) + cot(225)) + 71 | 145.42264973081038 | trig | 5 | 6 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: (56 / 3) + 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. $56 / 3 = 18.666666666666668... | (56 / 3) + sin(360) | 18.666666666666668 | trig | 4 | 3 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((log(28, 2) + 18) / 73) / 91. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $log(28, 2) = 4.807354922057604$
2. $sqrt(81) = 9$
3. $4... | ((log(28, 2) + 18) / 73) / 91 | 0.030899622805738138 | mixed | 2 | 6 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: (sqrt(4) - 12) * 31. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $sqrt(4) = 2$
2. $2 - 12 = -10$
3. $-10 * 31 = -310$
The answer ... | (sqrt(4) - 12) * 31 | -310 | power | 3 | 3 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((log(44, 2) / csc(45)) * 96) / csc(150). This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $log(44, 2) = 5.459431618637297$
2. $csc(45) = ... | ((log(44, 2) / csc(45)) * 96) / csc(150) | 185.29925371020875 | mixed | 4 | 6 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: (cot(30) - 35) / 17. 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 - 35 = -33.267... | (cot(30) - 35) / 17 | -1.9569381877900662 | trig | 3 | 3 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: (log(32, 3) * cos(270)) + 25. 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. $cos(270) = -1.83697019... | (log(32, 3) * cos(270)) + 25 | 25 | mixed | 5 | 4 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: 43 * 7. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $43 * 7 = 301$
The answer is $301$
3. Drafting the response: "Ответ на ваш запрос... | 43 * 7 | 301 | arithmetic | 1 | 1 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((48 / 21) * sin(360)) + 55. 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. $48 / 21 = 2.2857142... | ((48 / 21) * sin(360)) + 55 | 55 | trig | 2 | 4 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: cbrt(125) / sin(60). 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. $sin(60) = 0.8660254037844386$
... | cbrt(125) / sin(60) | 5.773502691896257 | mixed | 2 | 3 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: (7 - 92) - 1. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $7 - 92 = -85$
2. $-85 - 1 = -86$
The answer is $-86$
3. Drafting the res... | (7 - 92) - 1 | -86 | arithmetic | 3 | 2 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: 81 / sqrt(81). This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $sqrt(81) = 9$
2. $81 / 9 = 9$
The answer is $9$
3. Drafting the respons... | 81 / sqrt(81) | 9 | power | 5 | 2 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: (92 * 76) - 5**2. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $5**2 = 25$
2. $92 * 76 = 6992$
3. $6992 - 25 = 6967$
The answer is... | (92 * 76) - 5**2 | 6967 | power | 3 | 3 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: sqrt(100) + cot(135). This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $sqrt(100) = 10$
2. $cot(135) = -0.9999999999999998$
3. $10 + -0.... | sqrt(100) + cot(135) | 9 | mixed | 3 | 3 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: tan(45) * 77. 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 * 77 = 76.99999999999... | tan(45) * 77 | 76.99999999999999 | trig | 3 | 2 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: (4 * sin(60)) - tan(225). 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. $tan(225) = 0.999999999999999... | (4 * sin(60)) - tan(225) | 2.464101615137755 | trig | 1 | 4 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((38 * 81) * log(22, 10)) * log(11, 2). This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $log(22, 10) = 1.3424226808222062$
2. $log(11, 2)... | ((38 * 81) * log(22, 10)) * log(11, 2) | 14294.29192131031 | mixed | 4 | 7 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((sin(90) / log(18, 3)) / 68) / 57. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $sin(90) = 1$
2. $log(18, 3) = 2.630929753571457$
3... | ((sin(90) / log(18, 3)) / 68) / 57 | 9.806340730545263e-05 | mixed | 4 | 5 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: 20 + 44. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $20 + 44 = 64$
The answer is $64$
3. Drafting the response: "Ответ на ваш запрос... | 20 + 44 | 64 | arithmetic | 3 | 1 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: 36 / sec(45). 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. $36 / 1.414213562373095 = 25.4558441227157... | 36 / sec(45) | 25.455844122715714 | trig | 3 | 2 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((80 * sin(0)) + log(28, 3)) / 5**2. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $sin(0) = 0$
2. $log(28, 3) = 3.033103256304337$
3... | ((80 * sin(0)) + log(28, 3)) / 5**2 | 0.12132413025217348 | mixed | 4 | 6 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((csc(30) + 5**3) / 12) * 24. 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. $5**3 = 125$
3. $2.0000... | ((csc(30) + 5**3) / 12) * 24 | 254 | mixed | 1 | 5 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((81 - 44) / 51) + 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. $81 - 44 = 37$
3. $37 ... | ((81 - 44) / 51) + cbrt(216) | 1.3450980392156862 | power | 2 | 5 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: 100 / 2**2. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $2**2 = 4$
2. $100 / 4 = 25$
The answer is $25$
3. Drafting the response: "... | 100 / 2**2 | 25 | power | 4 | 2 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((28 * 95) * 11) - 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. $6**2 = 36$
3. $28 * 95 = 2660$
4. $26... | ((28 * 95) * 11) - cbrt(27) | 812.6944444444445 | power | 4 | 6 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: 49 * 54. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $49 * 54 = 2646$
The answer is $2646$
3. Drafting the response: "Ответ на ваш за... | 49 * 54 | 2646 | arithmetic | 5 | 1 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: (cbrt(8) / 94) / 23. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $cbrt(8) = 2$
2. $2 / 94 = 0.02127659574468085$
3. $0.021276595744... | (cbrt(8) / 94) / 23 | 0.0009250693802035152 | power | 2 | 3 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((tan(360) * 4**2) + 9) - 13. 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. $4**2 = 16$
3. $-... | ((tan(360) * 4**2) + 9) - 13 | 63 | mixed | 1 | 6 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: (60 / log(15, 2)) * 18. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $log(15, 2) = 3.9068905956085187$
2. $60 / 3.9068905956085187 = 1... | (60 / log(15, 2)) * 18 | 276.43466679460073 | log | 2 | 3 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((55 - 28) - 22) / cot(45). 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. $55 - 28 = 27$
3. $27 - 2... | ((55 - 28) - 22) / cot(45) | -80 | trig | 3 | 5 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((49 / 37) + 28) - 41. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $log(6, 5) = 1.1132827525593785$
2. $49 / 37 = 1.3243243243243243$... | ((49 / 37) + 28) - 41 | -10.562392923116299 | log | 2 | 5 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((sqrt(16) * 58) + log(32, 10)) * log(12, 3). 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(32, 10) = 1.50514997... | ((sqrt(16) * 58) + log(32, 10)) * log(12, 3) | 528.155843445295 | mixed | 2 | 6 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: 65 / log(8, 5). This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $log(8, 5) = 1.2920296742201791$
2. $65 / 1.2920296742201791 = 50.3084420... | 65 / log(8, 5) | 50.308442055892854 | log | 4 | 2 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((45 - sqrt(100)) * 96) - tan(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. $tan(45) = 0.9999999999999999$
3... | ((45 - sqrt(100)) * 96) - tan(45) | 4.1135885983359594e-13 | mixed | 4 | 7 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: 31 * cos(45). 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. $31 * 0.7071067811865476 = 21.92031021678... | 31 * cos(45) | 21.920310216782976 | trig | 5 | 2 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: (sec(180) / 13) * cos(30). This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $sec(180) = -1$
2. $cos(30) = 0.8660254037844387$
3. $-1 / 1... | (sec(180) / 13) * cos(30) | -0.06661733875264914 | trig | 3 | 4 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((13 - sin(60)) + sqrt(25)) / 15. 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. $sqrt(25) = 5$
3. $... | ((13 - sin(60)) + sqrt(25)) / 15 | 13.142264973081037 | mixed | 5 | 6 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: 60 / log(30, 2). This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $log(30, 2) = 4.906890595608519$
2. $60 / 4.906890595608519 = 12.2277028... | 60 / log(30, 2) | 12.22770282543037 | log | 1 | 2 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: log(24, 10) / sqrt(100). 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. $sqrt(100) = 10$
3. $1.38... | log(24, 10) / sqrt(100) | 0.13802112417116058 | mixed | 2 | 3 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((cos(360) - 6) + sin(90)) - 93. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $cos(360) = 1$
2. $sin(90) = 1$
3. $cos(270) = -1.8369... | ((cos(360) - 6) + sin(90)) - 93 | -97 | trig | 1 | 7 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((sin(270) / 60) * 38) + cbrt(27). This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $sin(270) = -1$
2. $cbrt(27) = 3$
3. $-1 / 60 = -0.0... | ((sin(270) / 60) * 38) + cbrt(27) | 2.3666666666666667 | mixed | 1 | 5 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((38 * cot(315)) * 4**3) * 7. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $cot(315) = -0.9999999999999996$
2. $4**3 = 64$
3. $38 * ... | ((38 * cot(315)) * 4**3) * 7 | -17023.999999999993 | mixed | 4 | 5 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((76 / cbrt(64)) - tan(0)) + 93. 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. $tan(0) = 0$
3. $76... | ((76 / cbrt(64)) - tan(0)) + 93 | 112 | mixed | 3 | 5 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((18 - 81) / 1) - 85. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $18 - 81 = -63$
2. $-63 / 1 = -63$
3. $-63 - 85 = -148$
The ans... | ((18 - 81) / 1) - 85 | -148 | arithmetic | 1 | 3 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((21 * 15) + tan(180)) + cos(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. $cos(30) = 0.86... | ((21 * 15) + tan(180)) + cos(30) | 315.8660254037844 | trig | 3 | 5 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: (67 + 40) / 55. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $67 + 40 = 107$
2. $107 / 55 = 1.9454545454545455$
The answer is $1.945... | (67 + 40) / 55 | 1.9454545454545455 | arithmetic | 4 | 2 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((18 + sqrt(81)) - log(35, 10)) - 77. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $sqrt(81) = 9$
2. $log(35, 10) = 1.5440680443502754... | ((18 + sqrt(81)) - log(35, 10)) - 77 | -51.544068044350276 | mixed | 5 | 5 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((42 - 57) * cbrt(64)) / 46. 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. $42 - 57 = -15$
3. $-15... | ((42 - 57) * cbrt(64)) / 46 | -127.82608695652172 | power | 3 | 5 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((cbrt(8) - 97) + 41) * log(36, 5). This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $cbrt(8) = 2$
2. $log(36, 5) = 2.226565505118757$
3... | ((cbrt(8) - 97) + 41) * log(36, 5) | -5410.554177438579 | mixed | 4 | 6 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((62 - sin(90)) - 26) - 64. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $sin(90) = 1$
2. $sqrt(16) = 4$
3. $62 - 1 = 61$
4. $61 -... | ((62 - sin(90)) - 26) - 64 | -7.25 | mixed | 3 | 6 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: (26 - 52) + cot(135). This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $cot(135) = -0.9999999999999998$
2. $26 - 52 = -26$
3. $-26 + -0.... | (26 - 52) + cot(135) | -27 | trig | 2 | 3 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: 9 / 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. $9 / 2 = 4.5$
The answer is $4.5$
3. Drafting the respons... | 9 / sqrt(4) | 4.5 | power | 2 | 2 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((55 - 69) - 11) + 27. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $55 - 69 = -14$
2. $-14 - 11 = -25$
3. $-25 + 27 = 2$
4. $2 * ... | ((55 - 69) - 11) + 27 | 184 | arithmetic | 4 | 4 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: 85 + log(35, 10). This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $log(35, 10) = 1.5440680443502754$
2. $85 + 1.5440680443502754 = 86.544... | 85 + log(35, 10) | 86.54406804435027 | log | 1 | 2 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: (8 / 55) * 34. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $8 / 55 = 0.14545454545454545$
2. $0.14545454545454545 * 34 = 4.9454545454... | (8 / 55) * 34 | 4.945454545454545 | arithmetic | 3 | 2 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: (cot(90) + 55) + tan(360). 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. $tan(360) = -2.4492935982... | (cot(90) + 55) + tan(360) | 55 | trig | 1 | 4 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: 27 * 88. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $27 * 88 = 2376$
The answer is $2376$
3. Drafting the response: "Ответ на ваш за... | 27 * 88 | 2376 | arithmetic | 2 | 1 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: (30 / cbrt(8)) + 26. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $cbrt(8) = 2$
2. $30 / 2 = 15$
3. $15 + 26 = 41$
The answer is $... | (30 / cbrt(8)) + 26 | 41 | power | 3 | 3 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((1 + 85) - 39) - 96. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $1 + 85 = 86$
2. $86 - 39 = 47$
3. $47 - 96 = -49$
The answer i... | ((1 + 85) - 39) - 96 | -49 | arithmetic | 4 | 3 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: (tan(30) / 3**2) + 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. $3**2 = 9$
3. $0.57735026918962... | (tan(30) / 3**2) + 3 | 3.064150029909958 | mixed | 4 | 4 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: (5 / sqrt(4)) + 31. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $sqrt(4) = 2$
2. $5 / 2 = 2.5$
3. $2.5 + 31 = 33.5$
The answer is... | (5 / sqrt(4)) + 31 | 33.5 | power | 1 | 3 |
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