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: csc(210) - 8. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $csc(210) = -1.9999999999999996$
2. $-1.9999999999999996 - 8 = -10$
The a... | csc(210) - 8 | -10 | trig | 3 | 2 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: 98 + 81. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $98 + 81 = 179$
The answer is $179$
3. Drafting the response: "Ответ на ваш запр... | 98 + 81 | 179 | arithmetic | 2 | 1 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((97 - 27) / 52) * log(43, 10). This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $log(43, 10) = 1.6334684555795864$
2. $97 - 27 = 70$
3.... | ((97 - 27) / 52) * log(43, 10) | 49.19889984404944 | log | 3 | 5 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: (tan(135) * 4**4) - cbrt(64). 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. $4**4 = 256$
3. $cbrt... | (tan(135) * 4**4) - cbrt(64) | -260.00000000000006 | mixed | 4 | 5 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: (85 + log(29, 2)) / 82. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $log(29, 2) = 4.857980995127573$
2. $85 + 4.857980995127573 = 89.... | (85 + log(29, 2)) / 82 | 1.095829036525946 | log | 1 | 3 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((log(42, 2) - cos(60)) * 68) + 79. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $log(42, 2) = 5.392317422778761$
2. $cos(60) = 0.5000... | ((log(42, 2) - cos(60)) * 68) + 79 | 332.6775847489557 | mixed | 1 | 6 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((sqrt(64) - 16) + 8) + 76. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $sqrt(64) = 8$
2. $8 - 16 = -8$
3. $-8 + 8 = 0$
4. $0 + 7... | ((sqrt(64) - 16) + 8) + 76 | -20 | power | 4 | 5 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((cot(270) - log(6, 10)) - log(34, 10)) * 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.... | ((cot(270) - log(6, 10)) - log(34, 10)) * cbrt(125) | -11.548150837129489 | mixed | 1 | 7 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((62 * tan(360)) - 58) + 91. 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. $62 * -2.44929359829... | ((62 * tan(360)) - 58) + 91 | 32.999999999999986 | trig | 3 | 4 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: cbrt(8) * 22. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $cbrt(8) = 2$
2. $2 * 22 = 44$
The answer is $44$
3. Drafting the respons... | cbrt(8) * 22 | 44 | power | 3 | 2 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((67 / 6**4) * 50) / sin(45). This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $6**4 = 1296$
2. $sin(45) = 0.7071067811865476$
3. $67 / ... | ((67 / 6**4) * 50) / sin(45) | -1.3444325355325093 | mixed | 4 | 6 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((sec(180) * 36) - 77) * 35. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $sec(180) = -1$
2. $-1 * 36 = -36$
3. $-36 - 77 = -113$
... | ((sec(180) * 36) - 77) * 35 | -300580 | trig | 5 | 5 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((76 * 2) * 14) * sec(360). This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $sec(360) = 1$
2. $76 * 2 = 152$
3. $152 * 14 = 2128$
4. ... | ((76 * 2) * 14) * sec(360) | 2128 | trig | 3 | 4 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: (47 - sqrt(49)) / 46. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $sqrt(49) = 7$
2. $47 - 7 = 40$
3. $40 / 46 = 0.8695652173913043$... | (47 - sqrt(49)) / 46 | 0.8695652173913043 | power | 2 | 3 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((log(11, 3) - cot(90)) - 57) + cos(180). This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $log(11, 3) = 2.182658338644138$
2. $cot(90) = ... | ((log(11, 3) - cot(90)) - 57) + cos(180) | -4409.569991247113 | mixed | 3 | 7 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: (54 + 95) * csc(150). 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. $54 + 95 = 149$
3. $149 * 2.00... | (54 + 95) * csc(150) | 298.00000000000006 | trig | 2 | 3 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((10 + 21) - 78) - cos(180). This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $cos(180) = -1$
2. $10 + 21 = 31$
3. $31 - 78 = -47$
4. ... | ((10 + 21) - 78) - cos(180) | -46 | trig | 5 | 4 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((12 / sqrt(100)) * tan(135)) / 68. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $sqrt(100) = 10$
2. $tan(135) = -1.0000000000000002$
... | ((12 / sqrt(100)) * tan(135)) / 68 | -0.017647058823529415 | mixed | 3 | 5 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: sec(120) - 61. 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. $-2.000000000000001 - 61 = -63$
The a... | sec(120) - 61 | -63 | trig | 3 | 2 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: (85 * cbrt(8)) / 32. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $cbrt(8) = 2$
2. $85 * 2 = 170$
3. $170 / 32 = 5.3125$
The answe... | (85 * cbrt(8)) / 32 | 5.3125 | power | 2 | 3 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: (29 * 56) - log(7, 5). This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $log(7, 5) = 1.2090619551221675$
2. $29 * 56 = 1624$
3. $1624 - ... | (29 * 56) - log(7, 5) | 1622.7909380448777 | log | 1 | 3 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((6**4 / 4**2) / 99) / 35. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $6**4 = 1296$
2. $4**2 = 16$
3. $1296 / 16 = 81$
4. $81 / ... | ((6**4 / 4**2) / 99) / 35 | 0.023376623376623377 | power | 2 | 5 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: cbrt(125) * cos(0). 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. $cos(0) = 1$
3. $4.9999999999999... | cbrt(125) * cos(0) | 4.999999999999999 | mixed | 3 | 3 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((93 * 31) / 75) * 61. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $93 * 31 = 2883$
2. $2883 / 75 = 38.44$
3. $38.44 * 61 = 2344.83... | ((93 * 31) / 75) * 61 | 2344.8399999999997 | arithmetic | 4 | 3 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: 51 - 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. $51 - 0.8660254037844386 = 50.13397459621... | 51 - sin(60) | 50.13397459621556 | trig | 3 | 2 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((cbrt(27) - sqrt(36)) - cbrt(216)) - sin(360). This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $cbrt(27) = 3$
2. $sqrt(36) = 6$
3. $cb... | ((cbrt(27) - sqrt(36)) - cbrt(216)) - sin(360) | -9 | mixed | 3 | 7 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((cos(30) - 69) / sec(45)) - cos(90). 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. $sec(45) = 1.4142... | ((cos(30) - 69) / sec(45)) - cos(90) | -96.35599093235196 | trig | 1 | 8 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: sin(90) + sqrt(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. $sqrt(64) = 8$
3. $1 + 8 = 9$
The answer is $9$
... | sin(90) + sqrt(64) | 9 | mixed | 1 | 3 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((37 * sin(60)) - sin(0)) + 38. 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. $sin(0) = 0$
3. $37 *... | ((37 * sin(60)) - sin(0)) + 38 | 1.7959728189749802 | trig | 4 | 6 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((sin(90) * 6) - log(16, 2)) / 32. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $sin(90) = 1$
2. $log(16, 2) = 4$
3. $1 * 6 = 6$
4... | ((sin(90) * 6) - log(16, 2)) / 32 | 70.0625 | mixed | 4 | 6 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((41 - 38) * sec(30)) * 4. 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. $41 - 38 = 3$
3. $3 * 1.15... | ((41 - 38) * sec(30)) * 4 | 13.856406460551018 | trig | 2 | 4 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((23 - 47) - sec(45)) * 4. 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. $23 - 47 = -24$
3. $-24 - 1... | ((23 - 47) - sec(45)) * 4 | -23.656854249492383 | trig | 1 | 5 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: (47 + sin(60)) + sqrt(49). 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. $sqrt(49) = 7$
3. $47 + 0.... | (47 + sin(60)) + sqrt(49) | 54.86602540378444 | mixed | 2 | 4 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: (68 + 35) / 67. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $68 + 35 = 103$
2. $103 / 67 = 1.537313432835821$
The answer is $1.5373... | (68 + 35) / 67 | 1.537313432835821 | arithmetic | 4 | 2 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: 4**4 * sin(30). This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $4**4 = 256$
2. $sin(30) = 0.49999999999999994$
3. $256 * 0.49999999999... | 4**4 * sin(30) | 127.99999999999999 | mixed | 1 | 3 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((71 + 5**3) - 45) * 62. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $5**3 = 125$
2. $71 + 125 = 196$
3. $196 - 45 = 151$
4. $151... | ((71 + 5**3) - 45) * 62 | 9362 | power | 5 | 4 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((22 + cos(90)) - cos(270)) - sqrt(49). 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(270) = ... | ((22 + cos(90)) - cos(270)) - sqrt(49) | 15 | mixed | 4 | 6 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: (cot(225) / 97) + 38. 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. $1.0000000000000004 / 97 = 0.010... | (cot(225) / 97) + 38 | 38.01030927835052 | trig | 4 | 3 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((sin(180) / 80) * 85) + log(12, 10). 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. $log(12, 10)... | ((sin(180) / 80) * 85) + log(12, 10) | 1.0791812460476249 | mixed | 5 | 5 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((28 * 53) - 91) / 39. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $28 * 53 = 1484$
2. $1484 - 91 = 1393$
3. $1393 / 39 = 35.717948... | ((28 * 53) - 91) / 39 | 535.7692307692307 | arithmetic | 1 | 4 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((tan(30) * cot(90)) / sin(60)) / 19. 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. $cot(90) = 6.1232... | ((tan(30) * cot(90)) / sin(60)) / 19 | 2.1485031563988654e-18 | trig | 4 | 6 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((8 / 16) / 94) + 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. $8 / 16 = 0.5$
3. $0.5 / 9... | ((8 / 16) / 94) + cos(60) | 0.5053191489361704 | trig | 4 | 4 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((log(34, 10) + cot(90)) - sqrt(9)) * cos(180). This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $log(34, 10) = 1.5314789170422551$
2. $co... | ((log(34, 10) + cot(90)) - sqrt(9)) * cos(180) | 35.24450599098588 | mixed | 1 | 8 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: (82 * cos(30)) - 8. 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. $82 * 0.8660254037844387 = 71.01408... | (82 * cos(30)) - 8 | 63.01408311032398 | trig | 4 | 3 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: (36 / sec(120)) * 64. 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. $36 / -2.000000000000001 = -17.9... | (36 / sec(120)) * 64 | -1151.9999999999995 | trig | 3 | 3 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: (9 * sqrt(9)) - tan(30). This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $sqrt(9) = 3$
2. $tan(30) = 0.5773502691896257$
3. $9 * 3 = 27... | (9 * sqrt(9)) - tan(30) | 26.422649730810374 | mixed | 4 | 4 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: (sqrt(64) / 7) - 20. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $sqrt(64) = 8$
2. $8 / 7 = 1.1428571428571428$
3. $1.1428571428571... | (sqrt(64) / 7) - 20 | -18.857142857142858 | power | 2 | 3 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: 55 + 3. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $55 + 3 = 58$
The answer is $58$
3. Drafting the response: "Ответ на ваш запрос в... | 55 + 3 | 58 | arithmetic | 2 | 1 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((sec(180) - cos(90)) / 60) / 65. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $sec(180) = -1$
2. $cos(90) = 6.123233995736766e-17$
... | ((sec(180) - cos(90)) / 60) / 65 | -0.0002564102564102564 | trig | 3 | 5 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: (11 * log(8, 2)) + 6. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $log(8, 2) = 3$
2. $11 * 3 = 33$
3. $33 + 6 = 39$
The answer is... | (11 * log(8, 2)) + 6 | 39 | log | 4 | 3 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((91 / 11) * 80) + sqrt(49). This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $sqrt(49) = 7$
2. $91 / 11 = 8.272727272727273$
3. $8.2727... | ((91 / 11) * 80) + sqrt(49) | 677.8181818181819 | power | 5 | 5 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((99 + 4) + cos(270)) - sin(60). 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. $sin(60) = 0.866... | ((99 + 4) + cos(270)) - sin(60) | 102.13397459621557 | trig | 3 | 5 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((10 + 81) - 24) - 23. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $10 + 81 = 91$
2. $91 - 24 = 67$
3. $67 - 23 = 44$
The answer ... | ((10 + 81) - 24) - 23 | 44 | arithmetic | 5 | 3 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: 28 / 23. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $28 / 23 = 1.2173913043478262$
The answer is $1.2173913043478262$
3. Drafting th... | 28 / 23 | 1.2173913043478262 | arithmetic | 2 | 1 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((36 * tan(60)) * cos(30)) - tan(135). 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(30) = 0.866... | ((36 * tan(60)) * cos(30)) - tan(135) | 4.999999999999999 | trig | 5 | 7 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: (cos(0) / 6**4) + sin(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. $6**4 = 1296$
3. $sin(360) = -2.44929359829... | (cos(0) / 6**4) + sin(360) | 0.00077160493827136 | mixed | 2 | 5 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((71 / sqrt(100)) - 32) - 100. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $sqrt(100) = 10$
2. $log(11, 5) = 1.4898961024049782$
3.... | ((71 / sqrt(100)) - 32) - 100 | -126.38989610240499 | mixed | 4 | 6 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((5 / 18) + log(2, 2)) - 34. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $log(2, 2) = 1$
2. $5 / 18 = 0.2777777777777778$
3. $0.277... | ((5 / 18) + log(2, 2)) - 34 | -32.72222222222222 | log | 2 | 4 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((75 - 68) * 48) * log(28, 2). 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. $75 - 68 = 7$
3. $7 ... | ((75 - 68) * 48) * log(28, 2) | 1546.2712538113549 | log | 2 | 5 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((100 + 49) * sqrt(25)) / 47. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $sqrt(25) = 5$
2. $100 + 49 = 149$
3. $149 * 5 = 745$
4... | ((100 + 49) * sqrt(25)) / 47 | 0.16511524822695037 | power | 4 | 5 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((83 / 4) + 6**3) + 37. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $6**3 = 216$
2. $83 / 4 = 20.75$
3. $20.75 + 216 = 236.75$
4.... | ((83 / 4) + 6**3) + 37 | 273.75 | power | 3 | 4 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: 75 * 19. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $75 * 19 = 1425$
The answer is $1425$
3. Drafting the response: "Ответ на ваш за... | 75 * 19 | 1425 | arithmetic | 5 | 1 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((cos(0) - sqrt(9)) * log(3, 2)) - 46. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $cos(0) = 1$
2. $sqrt(9) = 3$
3. $log(3, 2) = 1.... | ((cos(0) - sqrt(9)) * log(3, 2)) - 46 | -135.16992500144232 | mixed | 5 | 7 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((log(23, 2) - sqrt(25)) * 97) + 72. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $log(23, 2) = 4.523561956057013$
2. $sqrt(25) = 5$
... | ((log(23, 2) - sqrt(25)) * 97) + 72 | 0.2685990597659403 | mixed | 1 | 6 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((log(30, 5) - log(6, 5)) - 32) - 74. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $log(30, 5) = 2.1132827525593787$
2. $log(6, 5) = 1... | ((log(30, 5) - log(6, 5)) - 32) - 74 | -524.9999999999999 | mixed | 2 | 7 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: (67 / 97) - 5**4. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $5**4 = 625$
2. $67 / 97 = 0.6907216494845361$
3. $0.6907216494845361... | (67 / 97) - 5**4 | -624.3092783505155 | power | 2 | 3 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: 14 + 37. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $14 + 37 = 51$
The answer is $51$
3. Drafting the response: "Ответ на ваш запрос... | 14 + 37 | 51 | arithmetic | 4 | 1 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: sqrt(25) / 81. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $sqrt(25) = 5$
2. $5 / 81 = 0.06172839506172839$
The answer is $0.061728... | sqrt(25) / 81 | 0.06172839506172839 | power | 5 | 2 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: sqrt(64) * 29. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $sqrt(64) = 8$
2. $8 * 29 = 232$
The answer is $232$
3. Drafting the res... | sqrt(64) * 29 | 232 | power | 2 | 2 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: (68 + 26) / 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. $68 + 26 = 94$
3. $94 / 0.866025... | (68 + 26) / sin(60) | 108.54185060764965 | trig | 4 | 3 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: sqrt(4) - tan(180). This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $sqrt(4) = 2$
2. $tan(180) = -1.2246467991473532e-16$
3. $2 - -1.22... | sqrt(4) - tan(180) | 2 | mixed | 5 | 3 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((sqrt(36) + tan(60)) - 71) + 17. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $sqrt(36) = 6$
2. $tan(60) = 1.7320508075688767$
3. $... | ((sqrt(36) + tan(60)) - 71) + 17 | -56.267949192431125 | mixed | 5 | 7 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: tan(30) / log(41, 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. $log(41, 3) = 3.380238966019955$
... | tan(30) / log(41, 3) | 0.17080161343427855 | mixed | 2 | 3 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: (73 / cos(30)) + 33. 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. $73 / 0.8660254037844387 = 84.2931... | (73 / cos(30)) + 33 | 117.29313930168536 | trig | 1 | 3 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((55 - sqrt(4)) - 98) - sqrt(36). This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $sqrt(4) = 2$
2. $sqrt(36) = 6$
3. $cos(30) = 0.86602... | ((55 - sqrt(4)) - 98) - sqrt(36) | -44.16729559300637 | mixed | 2 | 7 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: 66 + 9. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $66 + 9 = 75$
The answer is $75$
3. Drafting the response: "Ответ на ваш запрос в... | 66 + 9 | 75 | arithmetic | 5 | 1 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((log(17, 5) - 94) - 75) / 35. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $log(17, 5) = 1.7603744277225881$
2. $1.7603744277225881 -... | ((log(17, 5) - 94) - 75) / 35 | -4.778275016350784 | log | 5 | 4 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: 92 - 38. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $92 - 38 = 54$
The answer is $54$
3. Drafting the response: "Ответ на ваш запрос... | 92 - 38 | 54 | arithmetic | 1 | 1 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: sec(240) - sqrt(4). This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $sec(240) = -1.9999999999999982$
2. $sqrt(4) = 2$
3. $-1.9999999999... | sec(240) - sqrt(4) | -3.9999999999999982 | mixed | 2 | 3 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((29 / 95) * 61) + sin(270). This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $sin(270) = -1$
2. $29 / 95 = 0.30526315789473685$
3. $0.3... | ((29 / 95) * 61) + sin(270) | 17.621052631578948 | trig | 2 | 4 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((45 * 46) - 16) / 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. $45 * 46 = 2070$
3. $2070 - 16 = 2054$
4... | ((45 * 46) - 16) / sqrt(4) | 1027 | power | 5 | 4 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: (100 + cbrt(8)) * 57. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $cbrt(8) = 2$
2. $100 + 2 = 102$
3. $102 * 57 = 5814$
The answe... | (100 + cbrt(8)) * 57 | 5814 | power | 1 | 3 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((69 - 30) / 100) / sqrt(49). This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $sqrt(49) = 7$
2. $69 - 30 = 39$
3. $39 / 100 = 0.39$
4... | ((69 - 30) / 100) / sqrt(49) | 0.055714285714285716 | power | 2 | 4 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((cot(270) + 29) - 64) + 86. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $cot(270) = 1.83697019872103e-16$
2. $cos(60) = 0.5000000000... | ((cot(270) + 29) - 64) + 86 | 25.500000000000007 | trig | 4 | 6 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: (16 + 64) - 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. $16 + 64 = 80$
3. $80 - 3 = 77$
The answer is... | (16 + 64) - cbrt(27) | 77 | power | 5 | 3 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: 14 / 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. $14 / 0.5000000000000001 = 27.99999999999... | 14 / cos(60) | 27.999999999999993 | trig | 5 | 2 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: (cbrt(27) / 14) + 8. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $cbrt(27) = 3$
2. $3 / 14 = 0.21428571428571427$
3. $0.21428571428... | (cbrt(27) / 14) + 8 | 8.214285714285714 | power | 5 | 3 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: (sec(360) - 34) * 81. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $sec(360) = 1$
2. $1 - 34 = -33$
3. $-33 * 81 = -2673$
The answ... | (sec(360) - 34) * 81 | -2673 | trig | 1 | 3 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((sec(45) / 22) - sin(360)) * log(15, 5). 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. $sin(360) = -2... | ((sec(45) / 22) - sin(360)) * log(15, 5) | 1.7516146992305086 | mixed | 5 | 8 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: 90 * 62. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $90 * 62 = 5580$
The answer is $5580$
3. Drafting the response: "Ответ на ваш за... | 90 * 62 | 5580 | arithmetic | 2 | 1 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: (tan(60) - 3**2) + log(29, 10). 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. $3**2 = 9$
3. $log(29... | (tan(60) - 3**2) + log(29, 10) | -5.805551194532168 | mixed | 1 | 5 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((75 / cbrt(216)) / log(25, 2)) + 69. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $cbrt(216) = 5.999999999999999$
2. $log(25, 2) = 4.... | ((75 / cbrt(216)) / log(25, 2)) + 69 | 71.69172848795871 | mixed | 5 | 5 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((69 + 75) / tan(60)) + 35. 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(45) = 0.70710678118654... | ((69 + 75) / tan(60)) + 35 | 118.8455455444927 | trig | 1 | 6 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: (81 * 2**3) * csc(210). This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $2**3 = 8$
2. $csc(210) = -1.9999999999999996$
3. $81 * 8 = 648... | (81 * 2**3) * csc(210) | -1295.9999999999998 | mixed | 5 | 4 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: 90 / 82. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $90 / 82 = 1.0975609756097562$
The answer is $1.0975609756097562$
3. Drafting th... | 90 / 82 | 1.0975609756097562 | arithmetic | 1 | 1 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((sin(30) / 22) * cos(30)) * sqrt(36). 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. $cos(30) = 0.86... | ((sin(30) / 22) * cos(30)) * sqrt(36) | -35.88190562675667 | mixed | 4 | 7 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((sqrt(16) + log(3, 5)) / 82) + cbrt(27). 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(3, 5) = 0.68260619448598... | ((sqrt(16) + log(3, 5)) / 82) + cbrt(27) | -6.942895046408708 | mixed | 3 | 8 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: 39 / 56. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $39 / 56 = 0.6964285714285714$
The answer is $0.6964285714285714$
3. Drafting th... | 39 / 56 | 0.6964285714285714 | arithmetic | 2 | 1 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((cos(60) * 80) + cbrt(125)) * tan(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. $cbrt(125) = 4.... | ((cos(60) * 80) + cbrt(125)) * tan(60) | 77.94228634059947 | mixed | 5 | 6 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((5 / 100) * log(14, 3)) - 69. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $log(14, 3) = 2.402173502732879$
2. $5 / 100 = 0.05$
3. ... | ((5 / 100) * log(14, 3)) - 69 | -82.87989132486335 | log | 1 | 5 |
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