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: ((79 / tan(315)) - 97) / 27. 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. $79 / -1.000000000000000... | ((79 / tan(315)) - 97) / 27 | 93.48148148148148 | trig | 3 | 5 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: 44 + 2**3. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $2**3 = 8$
2. $44 + 8 = 52$
The answer is $52$
3. Drafting the response: "От... | 44 + 2**3 | 52 | power | 4 | 2 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((sqrt(9) / 56) - 53) - cot(60). This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $sqrt(9) = 3$
2. $cot(60) = 0.577350269189626$
3. $3 /... | ((sqrt(9) / 56) - 53) - cot(60) | -53.52377884061819 | mixed | 2 | 5 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: (69 - 41) - 76. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $69 - 41 = 28$
2. $28 - 76 = -48$
The answer is $-48$
3. Drafting the r... | (69 - 41) - 76 | -48 | arithmetic | 4 | 2 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: (cot(30) - cos(360)) / 57. 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. $cos(360) = 1$
3. $1.73205... | (cot(30) - cos(360)) / 57 | 0.012842996624015394 | trig | 3 | 4 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: 91 + sqrt(25). This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $sqrt(25) = 5$
2. $91 + 5 = 96$
The answer is $96$
3. Drafting the respo... | 91 + sqrt(25) | 96 | power | 3 | 2 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((cbrt(64) * 65) + 24) * 4. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $cbrt(64) = 3.9999999999999996$
2. $3.9999999999999996 * 65 =... | ((cbrt(64) * 65) + 24) * 4 | 1135.9999999999998 | power | 5 | 4 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: (cot(30) / 32) / 13. 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 / 32 = 0.05412... | (cot(30) / 32) / 13 | 0.004163583672040571 | trig | 2 | 3 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: sqrt(81) / 75. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $sqrt(81) = 9$
2. $9 / 75 = 0.12$
The answer is $0.12$
3. Drafting the r... | sqrt(81) / 75 | 0.12 | power | 5 | 2 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: (83 + 69) + 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. $83 + 69 = 152$
3. $152 + 6.1... | (83 + 69) + cos(90) | 152 | trig | 2 | 3 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: 92 - csc(210). 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. $92 - -1.9999999999999996 = 94$
The ... | 92 - csc(210) | 94 | trig | 5 | 2 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((cos(30) + 100) / sin(90)) + 45. 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. $sin(90) = 1$
3. $0... | ((cos(30) + 100) / sin(90)) + 45 | 145.86602540378442 | trig | 2 | 5 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: 27 * 9. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $27 * 9 = 243$
The answer is $243$
3. Drafting the response: "Ответ на ваш запрос... | 27 * 9 | 243 | arithmetic | 5 | 1 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: (14 + 67) + 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. $14 + 67 = 81$
3. $81 + 0.866025... | (14 + 67) + sin(60) | 81.86602540378443 | trig | 2 | 3 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((24 + 89) / sin(90)) * log(14, 10). This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $sin(90) = 1$
2. $log(14, 10) = 1.1461280356782377$
... | ((24 + 89) / sin(90)) * log(14, 10) | 129.51246803164085 | mixed | 3 | 5 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((41 + sin(180)) - 42) * sqrt(100). 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(100) = 1... | ((41 + sin(180)) - 42) * sqrt(100) | -770 | mixed | 3 | 6 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: sin(270) * 93. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $sin(270) = -1$
2. $-1 * 93 = -93$
The answer is $-93$
3. Drafting the r... | sin(270) * 93 | -93 | trig | 5 | 2 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((sec(180) - 40) * 27) - sqrt(25). This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $sec(180) = -1$
2. $sqrt(25) = 5$
3. $sin(0) = 0$
... | ((sec(180) - 40) * 27) - sqrt(25) | -1112 | mixed | 2 | 7 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: 74 * 17. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $74 * 17 = 1258$
The answer is $1258$
3. Drafting the response: "Ответ на ваш за... | 74 * 17 | 1258 | arithmetic | 4 | 1 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((13 * 61) / tan(60)) / 5. 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. $13 * 61 = 793$
3. $793 / ... | ((13 * 61) / tan(60)) / 5 | 91.56775269347467 | trig | 1 | 4 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((19 - log(7, 5)) * 54) - log(24, 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. $log(24, 5) = 1... | ((19 - log(7, 5)) * 54) - log(24, 5) | 958.7360185546968 | log | 3 | 5 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: (33 - 14) * 90. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $33 - 14 = 19$
2. $19 * 90 = 1710$
The answer is $1710$
3. Drafting the... | (33 - 14) * 90 | 1710 | arithmetic | 2 | 2 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: (43 + 48) - 14. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $43 + 48 = 91$
2. $91 - 14 = 77$
The answer is $77$
3. Drafting the res... | (43 + 48) - 14 | 77 | arithmetic | 4 | 2 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: (59 + cos(45)) * 44. 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. $59 + 0.7071067811865476 = 59.7071... | (59 + cos(45)) * 44 | 2627.112698372208 | trig | 2 | 3 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: cos(360) / 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. $1 / 93 = 0.010752688172043012$
The answer is $0.01075... | cos(360) / 93 | 0.010752688172043012 | trig | 4 | 2 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((36 - cot(270)) - log(29, 5)) + 71. 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. $log(29, 5) = 2... | ((36 - cot(270)) - log(29, 5)) + 71 | 181.70560760815448 | mixed | 3 | 7 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((96 * sqrt(49)) * 63) - sec(120). This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $sqrt(49) = 7$
2. $sec(120) = -2.000000000000001$
3.... | ((96 * sqrt(49)) * 63) - sec(120) | 42338 | mixed | 5 | 5 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((46 / 40) + 79) + 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. $46 / 40 = 1.15$
3. $1.15 + 79 = 80.15$
4.... | ((46 / 40) + 79) + cos(0) | 7952.700000000001 | trig | 4 | 5 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: 92 * 74. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $92 * 74 = 6808$
The answer is $6808$
3. Drafting the response: "Ответ на ваш за... | 92 * 74 | 6808 | arithmetic | 4 | 1 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: (62 - sin(90)) / log(6, 2). This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $sin(90) = 1$
2. $log(6, 2) = 2.584962500721156$
3. $62 - 1... | (62 - sin(90)) / log(6, 2) | 23.598021241307038 | mixed | 3 | 4 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((log(17, 3) * 28) - sec(180)) * 46. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $log(17, 3) = 2.5789019231625656$
2. $sec(180) = -1$... | ((log(17, 3) * 28) - sec(180)) * 46 | 61.22955776424336 | mixed | 5 | 6 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((8 * 90) + sqrt(4)) - cot(315). This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $sqrt(4) = 2$
2. $cot(315) = -0.9999999999999996$
3. $... | ((8 * 90) + sqrt(4)) - cot(315) | 3615 | mixed | 4 | 6 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: 96 * 1. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $96 * 1 = 96$
The answer is $96$
3. Drafting the response: "Ответ на ваш запрос в... | 96 * 1 | 96 | arithmetic | 2 | 1 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((15 / 100) * 69) + sqrt(16). This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $sqrt(16) = 4$
2. $15 / 100 = 0.15$
3. $0.15 * 69 = 10.35... | ((15 / 100) * 69) + sqrt(16) | 14.35 | power | 1 | 4 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((sqrt(25) + 6) * 64) * 77. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $sqrt(25) = 5$
2. $5 + 6 = 11$
3. $11 * 64 = 704$
4. $704... | ((sqrt(25) + 6) * 64) * 77 | 54208 | power | 2 | 4 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((57 * 26) / cot(225)) / sqrt(100). 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. $sqrt(100) = 10$
... | ((57 * 26) / cot(225)) / sqrt(100) | 234.19999999999993 | mixed | 4 | 6 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((67 - 82) - csc(30)) / 38. 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. $67 - 82 = -15$
3. $-15 -... | ((67 - 82) - csc(30)) / 38 | -0.4473684210526316 | trig | 5 | 4 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: 74 * 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. $74 * 0.7071067811865476 = 52.32590180780... | 74 * sin(45) | 52.32590180780452 | trig | 2 | 2 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((40 * 19) + 35) + sqrt(36). This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $sqrt(36) = 6$
2. $40 * 19 = 760$
3. $760 + 35 = 795$
4.... | ((40 * 19) + 35) + sqrt(36) | 890 | power | 5 | 5 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((23 - sqrt(81)) - 83) - sec(60). This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $sqrt(81) = 9$
2. $sec(60) = 1.9999999999999996$
3. $... | ((23 - sqrt(81)) - 83) - sec(60) | -71 | mixed | 4 | 5 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((50 + 45) * 21) - 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. $50 + 45 = 95$
3. $95 * 2... | ((50 + 45) * 21) - sin(45) | 1994.2928932188136 | trig | 4 | 4 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((cbrt(216) - 35) - 2**2) / 65. 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. $2**2 = 4$
3. $5.999... | ((cbrt(216) - 35) - 2**2) / 65 | -6.507692307692308 | power | 1 | 6 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((cos(180) / 30) + 43) - 49. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $cos(180) = -1$
2. $sqrt(64) = 8$
3. $-1 / 30 = -0.0333333... | ((cos(180) / 30) + 43) - 49 | 1.9666666666666686 | mixed | 4 | 6 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((44 / 73) / 10) - 11. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $log(13, 10) = 1.1139433523068367$
2. $44 / 73 = 0.602739726027397... | ((44 / 73) / 10) - 11 | -9.820720241062942 | log | 5 | 5 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: 51 / sec(120). 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. $51 / -2.000000000000001 = -25.49999999... | 51 / sec(120) | -25.49999999999999 | trig | 4 | 2 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((14 * 62) + 30) - 39. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $14 * 62 = 868$
2. $868 + 30 = 898$
3. $898 - 39 = 859$
The an... | ((14 * 62) + 30) - 39 | 859 | arithmetic | 2 | 3 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((87 - 15) - 99) - 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. $87 - 15 = 72$
3. $72 ... | ((87 - 15) - 99) - cbrt(125) | -32 | power | 5 | 4 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: (17 + 58) / 40. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $17 + 58 = 75$
2. $75 / 40 = 1.875$
The answer is $1.875$
3. Drafting t... | (17 + 58) / 40 | 1.875 | arithmetic | 3 | 2 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((33 / 3**2) * 9) / 32. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $3**2 = 9$
2. $sqrt(9) = 3$
3. $33 / 9 = 3.6666666666666665$
... | ((33 / 3**2) * 9) / 32 | 4.03125 | power | 3 | 6 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: sqrt(4) + 9. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $sqrt(4) = 2$
2. $2 + 9 = 11$
The answer is $11$
3. Drafting the response:... | sqrt(4) + 9 | 11 | power | 2 | 2 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((tan(30) - sin(0)) - tan(135)) * 86. 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. $sin(0) = 0$
3.... | ((tan(30) - sin(0)) - tan(135)) * 86 | 5.02415270927066 | mixed | 5 | 8 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: (38 - cot(45)) * 35. 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. $38 - 1.0000000000000002 = 37$
3... | (38 - cot(45)) * 35 | 1295 | trig | 2 | 3 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: tan(0) + log(5, 2). This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $tan(0) = 0$
2. $log(5, 2) = 2.321928094887362$
3. $0 + 2.321928094... | tan(0) + log(5, 2) | 2.321928094887362 | mixed | 2 | 3 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: (74 - sqrt(25)) / 13. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $sqrt(25) = 5$
2. $74 - 5 = 69$
3. $69 / 13 = 5.3076923076923075$... | (74 - sqrt(25)) / 13 | 5.3076923076923075 | power | 3 | 3 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: 6**3 - 96. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $6**3 = 216$
2. $216 - 96 = 120$
The answer is $120$
3. Drafting the respons... | 6**3 - 96 | 120 | power | 2 | 2 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((sin(90) + 42) / tan(60)) + 78. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $sin(90) = 1$
2. $tan(60) = 1.7320508075688767$
3. $1 ... | ((sin(90) + 42) / tan(60)) + 78 | 102.82606157515391 | trig | 5 | 5 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: (sqrt(49) / 51) + log(23, 5). This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $sqrt(49) = 7$
2. $log(23, 5) = 1.9481920934663797$
3. $7... | (sqrt(49) / 51) + log(23, 5) | 2.085446995427164 | mixed | 2 | 4 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((sin(0) + 76) / 27) - sin(45). This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $sin(0) = 0$
2. $sin(45) = 0.7071067811865476$
3. $0 + ... | ((sin(0) + 76) / 27) - sin(45) | 2.1077080336282674 | trig | 2 | 5 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((36 + 5) / log(17, 10)) / cos(60). This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $log(17, 10) = 1.2304489213782739$
2. $cos(60) = 0.50... | ((36 + 5) / log(17, 10)) / cos(60) | 63.64234376194062 | mixed | 3 | 7 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: (9 * cot(30)) / sqrt(100). 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. $sqrt(100) = 10$
3. $9 * 1... | (9 * cot(30)) / sqrt(100) | 1.5588457268119895 | mixed | 2 | 4 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((sin(180) / log(9, 10)) + 58) - csc(150). 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(9,... | ((sin(180) / log(9, 10)) + 58) - csc(150) | 4424 | mixed | 2 | 7 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: sqrt(81) + 85. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $sqrt(81) = 9$
2. $9 + 85 = 94$
The answer is $94$
3. Drafting the respo... | sqrt(81) + 85 | 94 | power | 3 | 2 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: (89 - 15) * 6**4. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $6**4 = 1296$
2. $89 - 15 = 74$
3. $74 * 1296 = 95904$
The answer i... | (89 - 15) * 6**4 | 95904 | power | 3 | 3 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((67 / 50) - 50) - 66. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $67 / 50 = 1.34$
2. $1.34 - 50 = -48.66$
3. $-48.66 - 66 = -114.... | ((67 / 50) - 50) - 66 | -114.66 | arithmetic | 5 | 3 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((sin(60) + sec(180)) + 22) - cbrt(216). 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. $sec(180) = -1... | ((sin(60) + sec(180)) + 22) - cbrt(216) | 15.866025403784437 | mixed | 5 | 6 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((89 - 9) * 40) / 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. $89 - 9 = 80$
3. $80 * 40 = 3200$
4. $3... | ((89 - 9) * 40) / sqrt(49) | 10971.428571428572 | power | 3 | 5 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: (5**3 / cbrt(8)) - sqrt(100). This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $5**3 = 125$
2. $cbrt(8) = 2$
3. $sqrt(100) = 10$
4. $1... | (5**3 / cbrt(8)) - sqrt(100) | 52.5 | power | 1 | 5 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: (tan(315) - 96) * 68. 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 - 96 = -97... | (tan(315) - 96) * 68 | -6596 | trig | 1 | 3 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((30 - sin(0)) * cos(45)) / 3. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $sin(0) = 0$
2. $cos(45) = 0.7071067811865476$
3. $sqrt(... | ((30 - sin(0)) * cos(45)) / 3 | 2.3570226039551585 | mixed | 3 | 7 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((tan(225) / 81) - 42) + tan(60). 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. $tan(60) = 1.7320508... | ((tan(225) / 81) - 42) + tan(60) | -39.05148353076285 | mixed | 4 | 7 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: (69 / 58) - 16. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $69 / 58 = 1.1896551724137931$
2. $1.1896551724137931 - 16 = -14.81034482... | (69 / 58) - 16 | -14.810344827586206 | arithmetic | 4 | 2 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((5**4 / 69) + 84) * 93. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $5**4 = 625$
2. $625 / 69 = 9.057971014492754$
3. $9.057971014... | ((5**4 / 69) + 84) * 93 | 8656.391304347826 | power | 2 | 5 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((83 - 45) - 15) / tan(30). This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $tan(30) = 0.5773502691896257$
2. $cot(60) = 0.57735026918962... | ((83 - 45) - 15) / tan(30) | 40.414518843273804 | trig | 3 | 6 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((16 + 5) * 22) - 79. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $16 + 5 = 21$
2. $21 * 22 = 462$
3. $462 - 79 = 383$
4. $383 + ... | ((16 + 5) * 22) - 79 | 397 | arithmetic | 5 | 4 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((sqrt(9) + log(35, 5)) - 77) / log(48, 10). 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(35, 5) = 2.20906195512... | ((sqrt(9) + log(35, 5)) - 77) / log(48, 10) | -42.70115224924133 | mixed | 3 | 6 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((1 * sec(360)) + 21) + 28. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $sec(360) = 1$
2. $1 * 1 = 1$
3. $1 + 21 = 22$
4. $22 + 2... | ((1 * sec(360)) + 21) + 28 | 50 | trig | 4 | 4 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((2**3 * tan(30)) - sec(45)) - 56. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $2**3 = 8$
2. $tan(30) = 0.5773502691896257$
3. $sec... | ((2**3 * tan(30)) - sec(45)) - 56 | -61.79541140885609 | mixed | 2 | 8 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((cos(180) - sqrt(49)) - 82) / sqrt(49). This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $cos(180) = -1$
2. $sqrt(49) = 7$
3. $sqrt(49)... | ((cos(180) - sqrt(49)) - 82) / sqrt(49) | -1157.142857142857 | mixed | 2 | 7 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: 32 / 25. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $32 / 25 = 1.28$
The answer is $1.28$
3. Drafting the response: "Ответ на ваш за... | 32 / 25 | 1.28 | arithmetic | 3 | 1 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: sqrt(49) - cos(90). This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $sqrt(49) = 7$
2. $cos(90) = 6.123233995736766e-17$
3. $7 - 6.12323... | sqrt(49) - cos(90) | 7 | mixed | 3 | 3 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((log(14, 5) - cot(270)) / 63) + log(12, 2). This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $log(14, 5) = 1.6397385131955606$
2. $cot(27... | ((log(14, 5) - cot(270)) / 63) + log(12, 2) | 3.610990096168705 | mixed | 5 | 6 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((25 * 9) + tan(315)) / tan(45). This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $tan(315) = -1.0000000000000004$
2. $tan(45) = 0.9999999... | ((25 * 9) + tan(315)) / tan(45) | 224.00000000000003 | trig | 5 | 5 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((99 + tan(135)) * tan(135)) - 65. 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. $tan(135) = -1.000... | ((99 + tan(135)) * tan(135)) - 65 | -157.00000000000003 | trig | 2 | 6 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: (sin(180) * log(16, 5)) + sqrt(9). 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(16, 5) = 1... | (sin(180) * log(16, 5)) + sqrt(9) | 3 | mixed | 3 | 5 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: (78 / log(6, 2)) - 77. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $log(6, 2) = 2.584962500721156$
2. $78 / 2.584962500721156 = 30.17... | (78 / log(6, 2)) - 77 | -46.82548103570576 | log | 5 | 3 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((csc(210) * 16) * 3) * 37. 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 * 16... | ((csc(210) * 16) * 3) * 37 | -3551.999999999999 | trig | 5 | 4 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((30 * 86) / 2) - 81. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $30 * 86 = 2580$
2. $2580 / 2 = 1290$
3. $1290 - 81 = 1209$
4. ... | ((30 * 86) / 2) - 81 | 1280 | arithmetic | 3 | 4 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: cos(45) / tan(30). 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. $tan(30) = 0.5773502691896257$
3. ... | cos(45) / tan(30) | 1.2247448713915892 | trig | 4 | 3 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((56 * 62) * 12) * 5. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $56 * 62 = 3472$
2. $3472 * 12 = 41664$
3. $41664 * 5 = 208320$
... | ((56 * 62) * 12) * 5 | 208320 | arithmetic | 1 | 3 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: (log(27, 2) - 90) / 6**4. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $log(27, 2) = 4.754887502163469$
2. $6**4 = 1296$
3. $4.75488... | (log(27, 2) - 90) / 6**4 | -0.06577554976684917 | mixed | 4 | 4 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: (39 + 24) + 17. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $39 + 24 = 63$
2. $63 + 17 = 80$
The answer is $80$
3. Drafting the res... | (39 + 24) + 17 | 80 | arithmetic | 5 | 2 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: (tan(30) - 64) * 85. 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. $0.5773502691896257 - 64 = -63.422... | (tan(30) - 64) * 85 | -5390.9252271188825 | trig | 1 | 3 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: (87 * 3**3) * sqrt(100). This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $3**3 = 27$
2. $sqrt(100) = 10$
3. $87 * 27 = 2349$
4. $2349... | (87 * 3**3) * sqrt(100) | 23490 | power | 4 | 4 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((60 - 5) + 2**4) * sin(360). This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $2**4 = 16$
2. $sin(360) = -2.4492935982947064e-16$
3. $6... | ((60 - 5) + 2**4) * sin(360) | -1.7389984547892416e-14 | mixed | 3 | 5 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: (csc(30) + sec(240)) * 70. 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. $sec(240) = -1.9999999999999... | (csc(30) + sec(240)) * 70 | 1.5543122344752192e-13 | trig | 4 | 4 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: (82 - sec(0)) - 17. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $sec(0) = 1$
2. $82 - 1 = 81$
3. $81 - 17 = 64$
The answer is $64... | (82 - sec(0)) - 17 | 64 | trig | 1 | 3 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((100 / 23) - 35) + 42. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $100 / 23 = 4.3478260869565215$
2. $4.3478260869565215 - 35 = -30... | ((100 / 23) - 35) + 42 | 11.347826086956523 | arithmetic | 2 | 3 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: 68 / 51. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $68 / 51 = 1.3333333333333333$
The answer is $1.3333333333333333$
3. Drafting th... | 68 / 51 | 1.3333333333333333 | arithmetic | 2 | 1 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: sqrt(49) / 62. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $sqrt(49) = 7$
2. $7 / 62 = 0.11290322580645161$
The answer is $0.112903... | sqrt(49) / 62 | 0.11290322580645161 | power | 4 | 2 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: (35 - 56) + 65. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $35 - 56 = -21$
2. $-21 + 65 = 44$
The answer is $44$
3. Drafting the r... | (35 - 56) + 65 | 44 | arithmetic | 2 | 2 |
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