text stringlengths 423 1.55k | input stringlengths 5 55 | output stringlengths 1 23 | topic stringclasses 5
values | difficulty int32 1 5 | steps int32 1 9 |
|---|---|---|---|---|---|
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((sqrt(25) * 4) - cos(90)) - log(5, 3). This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $sqrt(25) = 5$
2. $cos(90) = 6.123233995736766e-1... | ((sqrt(25) * 4) - cos(90)) - log(5, 3) | 0.20368160966244037 | mixed | 1 | 7 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: 94 / 63. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $94 / 63 = 1.492063492063492$
The answer is $1.492063492063492$
3. Drafting the ... | 94 / 63 | 1.492063492063492 | arithmetic | 5 | 1 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: (cbrt(64) / sqrt(16)) * 48. 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. $sqrt(16) = 4$
3. $3.999... | (cbrt(64) / sqrt(16)) * 48 | 47.99999999999999 | power | 3 | 4 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((4 / sqrt(64)) / 6) - cot(315). This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $sqrt(64) = 8$
2. $cot(315) = -0.9999999999999996$
3. ... | ((4 / sqrt(64)) / 6) - cot(315) | 18.416666666666657 | mixed | 5 | 6 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: 13 - 18. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $13 - 18 = -5$
The answer is $-5$
3. Drafting the response: "Ответ на ваш запрос... | 13 - 18 | -5 | arithmetic | 4 | 1 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((19 * 93) - 34) + 14. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $19 * 93 = 1767$
2. $1767 - 34 = 1733$
3. $1733 + 14 = 1747$
T... | ((19 * 93) - 34) + 14 | 1747 | arithmetic | 1 | 3 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: 20 - 5**3. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $5**3 = 125$
2. $20 - 125 = -105$
The answer is $-105$
3. Drafting the respo... | 20 - 5**3 | -105 | power | 5 | 2 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((76 / 46) / 89) + 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. $sqrt(25) = 5$
3. $76 / 4... | ((76 / 46) / 89) + cos(60) | -4.481436248168051 | mixed | 3 | 6 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: (tan(135) - sec(45)) / 26. 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. $sec(45) = 1.4142135623730... | (tan(135) - sec(45)) / 26 | -0.09285436778358057 | trig | 3 | 4 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: (cbrt(64) - 54) + csc(60). 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. $csc(60) = 1.15470053837925... | (cbrt(64) - 54) + csc(60) | -48.84529946162075 | mixed | 3 | 4 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: (15 + 5**3) - 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. $15 + 125 = 140$
3. $140 - 100 = 40$
The answer is... | (15 + 5**3) - 100 | 40 | power | 4 | 3 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((4**3 + 42) * 30) / 33. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $4**3 = 64$
2. $64 + 42 = 106$
3. $106 * 30 = 3180$
4. $3180... | ((4**3 + 42) * 30) / 33 | 128.36363636363637 | power | 4 | 5 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((61 * tan(0)) / cos(180)) - 33. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $tan(0) = 0$
2. $cos(180) = -1$
3. $61 * 0 = 0$
4. $... | ((61 * tan(0)) / cos(180)) - 33 | -37 | trig | 3 | 6 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: (sqrt(49) / 52) / 96. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $sqrt(49) = 7$
2. $7 / 52 = 0.1346153846153846$
3. $0.13461538461... | (sqrt(49) / 52) / 96 | 0.0014022435897435897 | power | 1 | 3 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: (cbrt(64) + 97) * cot(45). 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. $cot(45) = 1.00000000000000... | (cbrt(64) + 97) * cot(45) | 101.00000000000003 | mixed | 2 | 4 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((18 + 46) / 92) * 21. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $18 + 46 = 64$
2. $64 / 92 = 0.6956521739130435$
3. $0.695652173... | ((18 + 46) / 92) * 21 | 14.608695652173912 | arithmetic | 1 | 3 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: 100 - log(12, 5). This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $log(12, 5) = 1.5439593106327716$
2. $100 - 1.5439593106327716 = 98.456... | 100 - log(12, 5) | 98.45604068936723 | log | 5 | 2 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((89 - csc(150)) - 39) + cbrt(27). 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. $cbrt(27) = 3$
3.... | ((89 - csc(150)) - 39) + cbrt(27) | 51 | mixed | 2 | 5 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: (82 * 51) / 22. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $82 * 51 = 4182$
2. $4182 / 22 = 190.0909090909091$
The answer is $190.... | (82 * 51) / 22 | 190.0909090909091 | arithmetic | 4 | 2 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((35 - 23) + 55) + 17. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $35 - 23 = 12$
2. $12 + 55 = 67$
3. $67 + 17 = 84$
The answer ... | ((35 - 23) + 55) + 17 | 84 | arithmetic | 1 | 3 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((55 + 25) * 29) / csc(90). This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $csc(90) = 1$
2. $55 + 25 = 80$
3. $80 * 29 = 2320$
4. $2... | ((55 + 25) * 29) / csc(90) | 2320 | trig | 4 | 4 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: (46 / 27) / 6**3. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $6**3 = 216$
2. $46 / 27 = 1.7037037037037037$
3. $1.7037037037037037... | (46 / 27) / 6**3 | 0.007887517146776405 | power | 5 | 3 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: 2**4 - 51. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $2**4 = 16$
2. $16 - 51 = -35$
The answer is $-35$
3. Drafting the response:... | 2**4 - 51 | -35 | power | 5 | 2 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: (log(47, 5) / sin(90)) - 20. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $log(47, 5) = 2.392231208153366$
2. $sin(90) = 1$
3. $2.39... | (log(47, 5) / sin(90)) - 20 | -17.607768791846635 | mixed | 5 | 4 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: 9 + 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. $9 + 0.8660254037844386 = 9.86602540378444... | 9 + sin(60) | 9.86602540378444 | trig | 2 | 2 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: cos(180) / 26. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $cos(180) = -1$
2. $-1 / 26 = -0.038461538461538464$
The answer is $-0.0... | cos(180) / 26 | -0.038461538461538464 | trig | 4 | 2 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((cos(360) / 3) / 70) / 95. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $cos(360) = 1$
2. $1 / 3 = 0.3333333333333333$
3. $0.333333... | ((cos(360) / 3) / 70) / 95 | 8.217264472657051e-07 | trig | 4 | 5 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: (tan(135) - 94) * sin(180). 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. $sin(180) = 1.22464679914... | (tan(135) - 94) * sin(180) | -1.1634144591899855e-14 | trig | 2 | 4 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: (35 - sqrt(100)) / log(3, 2). This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $sqrt(100) = 10$
2. $log(3, 2) = 1.5849625007211563$
3. $... | (35 - sqrt(100)) / log(3, 2) | 15.773243839286435 | mixed | 5 | 4 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((36 - 23) - sqrt(64)) - 87. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $sqrt(64) = 8$
2. $36 - 23 = 13$
3. $13 - 8 = 5$
4. $5 -... | ((36 - 23) - sqrt(64)) - 87 | -7298 | power | 1 | 5 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((85 / sin(270)) - 60) + 85. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $sin(270) = -1$
2. $85 / -1 = -85$
3. $-85 - 60 = -145$
... | ((85 / sin(270)) - 60) + 85 | -60 | trig | 5 | 4 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: (cot(45) + 99) * 77. 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. $1.0000000000000002 + 99 = 100$
... | (cot(45) + 99) * 77 | 7700 | trig | 5 | 3 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: log(32, 2) - 28. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $log(32, 2) = 5$
2. $5 - 28 = -23$
The answer is $-23$
3. Drafting the... | log(32, 2) - 28 | -23 | log | 1 | 2 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: (73 - sin(360)) - 12. 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. $73 - -2.4492935982947064e-... | (73 - sin(360)) - 12 | 61 | trig | 3 | 3 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((46 * 25) * 61) - 43. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $46 * 25 = 1150$
2. $1150 * 61 = 70150$
3. $70150 - 43 = 70107$
... | ((46 * 25) * 61) - 43 | 70107 | arithmetic | 4 | 3 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((29 * 13) + 35) - cos(360). This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $cos(360) = 1$
2. $sin(360) = -2.4492935982947064e-16$
3. ... | ((29 * 13) + 35) - cos(360) | -1.0066596688991243e-13 | trig | 5 | 6 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((97 / 6**4) / 50) + tan(135). This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $6**4 = 1296$
2. $tan(135) = -1.0000000000000002$
3. $97... | ((97 / 6**4) / 50) + tan(135) | -0.9985030864197533 | mixed | 3 | 5 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((92 * 35) - 76) + 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. $92 * 35 = 3220$
3. $32... | ((92 * 35) - 76) + csc(150) | 3067 | trig | 1 | 5 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((cos(45) - 30) + 63) * sin(60). 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. $sin(60) = 0.866025403... | ((cos(45) - 30) + 63) * sin(60) | 58.38242152116453 | mixed | 1 | 7 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: 19 - 52. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $19 - 52 = -33$
The answer is $-33$
3. Drafting the response: "Ответ на ваш запр... | 19 - 52 | -33 | arithmetic | 3 | 1 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((88 / 67) + cos(30)) + 63. 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. $88 / 67 = 1.31343283582089... | ((88 / 67) + cos(30)) + 63 | 144.17945823960534 | trig | 4 | 5 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: (log(7, 3) / 99) - 46. 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. $1.7712437491614221 / 99 = 0.0... | (log(7, 3) / 99) - 46 | -45.98210864899837 | log | 3 | 3 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: sin(60) - 3. 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. $0.8660254037844386 - 3 = -2.1339745962155... | sin(60) - 3 | -2.1339745962155616 | trig | 4 | 2 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((sin(90) * 38) / log(3, 3)) + 31. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $sin(90) = 1$
2. $log(3, 3) = 1$
3. $cos(30) = 0.866... | ((sin(90) * 38) / log(3, 3)) + 31 | 79.67433714816835 | mixed | 4 | 7 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: 36 * 11. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $36 * 11 = 396$
The answer is $396$
3. Drafting the response: "Ответ на ваш запр... | 36 * 11 | 396 | arithmetic | 5 | 1 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((76 + 18) + 24) * 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. $tan(315) = -1.000000000000... | ((76 + 18) + 24) * cos(60) | -59.00000000000004 | trig | 4 | 6 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: sin(360) + tan(30). 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(30) = 0.5773502691896257... | sin(360) + tan(30) | 0.5773502691896255 | trig | 3 | 3 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: (60 * 91) + log(8, 3). This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $log(8, 3) = 1.892789260714372$
2. $60 * 91 = 5460$
3. $5460 + 1... | (60 * 91) + log(8, 3) | 5461.892789260714 | log | 3 | 3 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((log(23, 10) / 41) - 83) + 100. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $log(23, 10) = 1.3617278360175928$
2. $1.361727836017592... | ((log(23, 10) / 41) - 83) + 100 | 17.033212874049212 | log | 3 | 4 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: 43 + 64. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $43 + 64 = 107$
The answer is $107$
3. Drafting the response: "Ответ на ваш запр... | 43 + 64 | 107 | arithmetic | 5 | 1 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: (83 / 15) * 26. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $83 / 15 = 5.533333333333333$
2. $5.533333333333333 * 26 = 143.8666666666... | (83 / 15) * 26 | 143.86666666666667 | arithmetic | 1 | 2 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: cbrt(8) * 91. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $cbrt(8) = 2$
2. $2 * 91 = 182$
The answer is $182$
3. Drafting the respo... | cbrt(8) * 91 | 182 | power | 4 | 2 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((sqrt(49) + 26) + 3**4) + 64. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $sqrt(49) = 7$
2. $3**4 = 81$
3. $7 + 26 = 33$
4. $33 ... | ((sqrt(49) + 26) + 3**4) + 64 | 178 | power | 1 | 5 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: cos(30) * 34. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $cos(30) = 0.8660254037844387$
2. $0.8660254037844387 * 34 = 29.44486372867... | cos(30) * 34 | 29.444863728670917 | trig | 2 | 2 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: (sqrt(36) / sqrt(9)) / 43. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $sqrt(36) = 6$
2. $sqrt(9) = 3$
3. $6 / 3 = 2$
4. $2 / 43 ... | (sqrt(36) / sqrt(9)) / 43 | 0.046511627906976744 | power | 2 | 4 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: (2**2 - 47) - 61. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $2**2 = 4$
2. $4 - 47 = -43$
3. $-43 - 61 = -104$
The answer is $-1... | (2**2 - 47) - 61 | -104 | power | 3 | 3 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: 46 * 70. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $46 * 70 = 3220$
The answer is $3220$
3. Drafting the response: "Ответ на ваш за... | 46 * 70 | 3220 | arithmetic | 3 | 1 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((sqrt(81) + sin(360)) / sqrt(100)) * 88. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $sqrt(81) = 9$
2. $sin(360) = -2.44929359829470... | ((sqrt(81) + sin(360)) / sqrt(100)) * 88 | 79.2 | mixed | 5 | 6 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((8 / tan(60)) - 59) - 97. 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. $8 / 1.7320508075688767 = 4.... | ((8 / tan(60)) - 59) - 97 | -12413.258223411605 | trig | 5 | 5 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((log(33, 5) + 100) - 96) - 53. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $log(33, 5) = 2.1725022968909635$
2. $2.1725022968909635 ... | ((log(33, 5) + 100) - 96) - 53 | -46.82749770310903 | log | 2 | 4 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((58 - 55) - 61) - 58. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $58 - 55 = 3$
2. $3 - 61 = -58$
3. $-58 - 58 = -116$
The answe... | ((58 - 55) - 61) - 58 | -116 | arithmetic | 2 | 3 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((7 * tan(135)) - 33) * 85. 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. $7 * -1.0000000000000002 ... | ((7 * tan(135)) - 33) * 85 | -3400 | trig | 5 | 4 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((log(16, 10) - cot(135)) * cos(60)) / cbrt(8). This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $log(16, 10) = 1.2041199826559246$
2. $co... | ((log(16, 10) - cot(135)) * cos(60)) / cbrt(8) | 0.022959583152665882 | mixed | 1 | 8 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: cos(90) + 55. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $cos(90) = 6.123233995736766e-17$
2. $6.123233995736766e-17 + 55 = 55$
Th... | cos(90) + 55 | 55 | trig | 2 | 2 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: sin(270) * cos(60). This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $sin(270) = -1$
2. $cos(60) = 0.5000000000000001$
3. $-1 * 0.500000... | sin(270) * cos(60) | -0.5000000000000001 | trig | 2 | 3 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((57 - 14) - 26) / 84. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $sin(270) = -1$
2. $57 - 14 = 43$
3. $43 - 26 = 17$
4. $17 / 8... | ((57 - 14) - 26) / 84 | 1.2023809523809523 | trig | 1 | 5 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((sin(60) - csc(60)) * 61) + 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. $csc(60) = 1.154700538... | ((sin(60) - csc(60)) * 61) + 60 | 42.3908167897164 | trig | 1 | 5 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((sin(360) * 10) - 69) + 60. 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. $-2.4492935982947064... | ((sin(360) * 10) - 69) + 60 | 27 | trig | 1 | 5 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((47 * cos(90)) - 44) - sqrt(64). 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. $sqrt(64) = 8$
3... | ((47 * cos(90)) - 44) - sqrt(64) | -52 | mixed | 3 | 5 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((59 / 2) + 67) / 60. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $59 / 2 = 29.5$
2. $29.5 + 67 = 96.5$
3. $96.5 / 60 = 1.608333333... | ((59 / 2) + 67) / 60 | 1.6083333333333334 | arithmetic | 3 | 3 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((97 / 82) * 54) * sqrt(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. $cot(30) = 1.7320508075688774$
3. $97... | ((97 / 82) * 54) * sqrt(100) | 1106.4002597616804 | mixed | 4 | 6 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((23 / cbrt(216)) + 93) - 11. 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. $cos(270) = -1.836970198... | ((23 / cbrt(216)) + 93) - 11 | 85.83333333333333 | mixed | 4 | 6 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((10 + cbrt(8)) / 56) * sec(240). This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $cbrt(8) = 2$
2. $sec(240) = -1.9999999999999982$
3. ... | ((10 + cbrt(8)) / 56) * sec(240) | -0.42857142857142816 | mixed | 2 | 5 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((76 / 75) + cos(360)) + 96. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $cos(360) = 1$
2. $76 / 75 = 1.0133333333333334$
3. $1.013... | ((76 / 75) + cos(360)) + 96 | 98.01333333333334 | trig | 3 | 4 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((77 - 58) / log(39, 2)) + sqrt(64). This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $log(39, 2) = 5.285402218862249$
2. $sqrt(64) = 8$
... | ((77 - 58) / log(39, 2)) + sqrt(64) | 87.59480683082053 | mixed | 4 | 6 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((81 * cos(270)) - log(36, 3)) + 74. 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. $log(36, 3) ... | ((81 * cos(270)) - log(36, 3)) + 74 | 76.73814049285707 | mixed | 4 | 7 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((76 + 59) * cos(45)) / 53. 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. $sqrt(36) = 6$
3. $76 + 5... | ((76 + 59) * cos(45)) / 53 | 7.801121046418564 | mixed | 1 | 6 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: (17 - 41) / log(2, 3). This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $log(2, 3) = 0.6309297535714574$
2. $17 - 41 = -24$
3. $-24 / 0.... | (17 - 41) / log(2, 3) | -38.03910001730775 | log | 5 | 3 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: (cbrt(125) - 81) + 24. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $cbrt(125) = 4.999999999999999$
2. $4.999999999999999 - 81 = -76$
... | (cbrt(125) - 81) + 24 | -52 | power | 3 | 3 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((43 - 38) * 38) + 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. $43 - 38 = 5$
3. $5 * 38 ... | ((43 - 38) * 38) + sin(60) | 190.86602540378445 | trig | 2 | 4 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: (61 + 90) + 56. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $61 + 90 = 151$
2. $151 + 56 = 207$
The answer is $207$
3. Drafting the... | (61 + 90) + 56 | 207 | arithmetic | 2 | 2 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((75 / cos(45)) + cos(360)) - 80. 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. $cos(360) = 1$
3. $... | ((75 / cos(45)) + cos(360)) - 80 | 27.06601717798212 | trig | 3 | 5 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: sqrt(49) / 27. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $sqrt(49) = 7$
2. $7 / 27 = 0.25925925925925924$
The answer is $0.259259... | sqrt(49) / 27 | 0.25925925925925924 | power | 3 | 2 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((73 * 97) - 93) - tan(315). 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. $73 * 97 = 7081$
3. $7... | ((73 * 97) - 93) - tan(315) | 6989 | trig | 2 | 4 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((sec(0) + sqrt(64)) / 46) / 39. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $sec(0) = 1$
2. $sqrt(64) = 8$
3. $1 + 8 = 9$
4. $9 ... | ((sec(0) + sqrt(64)) / 46) / 39 | -5.994983277591973 | mixed | 2 | 6 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: (100 * sin(30)) + 42. 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. $100 * 0.49999999999999994 = 49.... | (100 * sin(30)) + 42 | 92 | trig | 2 | 3 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: 89 - 17. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $89 - 17 = 72$
The answer is $72$
3. Drafting the response: "Ответ на ваш запрос... | 89 - 17 | 72 | arithmetic | 3 | 1 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((46 / 51) + sqrt(100)) * tan(225). This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $sqrt(100) = 10$
2. $tan(225) = 0.9999999999999997$
... | ((46 / 51) + sqrt(100)) * tan(225) | 65.41176470588233 | mixed | 4 | 7 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((cos(270) / cbrt(125)) + 82) - log(6, 5). 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. $cbrt(... | ((cos(270) / cbrt(125)) + 82) - log(6, 5) | 67.88671724744061 | mixed | 1 | 7 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((63 - log(2, 10)) - sin(180)) * 86. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $log(2, 10) = 0.30102999566398114$
2. $sin(180) = 1.... | ((63 - log(2, 10)) - sin(180)) * 86 | 5365.111420372898 | mixed | 4 | 6 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((cos(90) * 34) * 58) + 45. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $cos(90) = 6.123233995736766e-17$
2. $6.123233995736766e-17 *... | ((cos(90) * 34) * 58) + 45 | 45.00000000000012 | trig | 4 | 4 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: csc(60) - 41. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $csc(60) = 1.1547005383792517$
2. $1.1547005383792517 - 41 = -39.8452994616... | csc(60) - 41 | -39.84529946162075 | trig | 5 | 2 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((tan(60) * 20) + 89) + 88. 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. $1.7320508075688767 * 20 = ... | ((tan(60) * 20) + 89) + 88 | 211.64101615137753 | trig | 1 | 4 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: (27 * 39) / csc(270). This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $csc(270) = -1$
2. $27 * 39 = 1053$
3. $1053 / -1 = -1053$
The ... | (27 * 39) / csc(270) | -1053 | trig | 3 | 3 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: log(29, 2) / cbrt(27). 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. $cbrt(27) = 3$
3. $4.8579809... | log(29, 2) / cbrt(27) | 1.6193269983758576 | mixed | 5 | 3 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: 47 / 54. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $47 / 54 = 0.8703703703703703$
The answer is $0.8703703703703703$
3. Drafting th... | 47 / 54 | 0.8703703703703703 | arithmetic | 3 | 1 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: 49 + log(19, 3). This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $log(19, 3) = 2.680143859246375$
2. $49 + 2.680143859246375 = 51.6801438... | 49 + log(19, 3) | 51.68014385924638 | log | 3 | 2 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((92 - 59) / 69) * tan(60). This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $tan(60) = 1.7320508075688767$
2. $sin(45) = 0.70710678118654... | ((92 - 59) / 69) * tan(60) | 1.171495094374563 | trig | 3 | 6 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: sin(180) + 41. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $sin(180) = 1.2246467991473532e-16$
2. $1.2246467991473532e-16 + 41 = 41$
... | sin(180) + 41 | 41 | trig | 3 | 2 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: (sin(360) - 36) * 73. 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. $-2.4492935982947064e-16 - ... | (sin(360) - 36) * 73 | -2628 | trig | 5 | 3 |
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