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: ((60 * 67) + 38) + 57. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $60 * 67 = 4020$
2. $4020 + 38 = 4058$
3. $4058 + 57 = 4115$
T... | ((60 * 67) + 38) + 57 | 4115 | arithmetic | 3 | 3 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((cbrt(64) - 84) * 63) * 87. 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 - 84 ... | ((cbrt(64) - 84) * 63) * 87 | -438480 | power | 4 | 4 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: 99 - 5. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $99 - 5 = 94$
The answer is $94$
3. Drafting the response: "Ответ на ваш запрос в... | 99 - 5 | 94 | arithmetic | 5 | 1 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: sec(0) / 98. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $sec(0) = 1$
2. $1 / 98 = 0.01020408163265306$
The answer is $0.0102040816... | sec(0) / 98 | 0.01020408163265306 | trig | 1 | 2 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: cbrt(27) / 2**4. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $cbrt(27) = 3$
2. $2**4 = 16$
3. $3 / 16 = 0.1875$
The answer is $0.... | cbrt(27) / 2**4 | 0.1875 | power | 1 | 3 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((37 + 46) * 75) - sin(0). This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $sin(0) = 0$
2. $log(34, 2) = 5.08746284125034$
3. $37 + 46 ... | ((37 + 46) * 75) - sin(0) | 6219.91253715875 | mixed | 2 | 6 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((47 * 26) - cbrt(27)) + 74. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $cbrt(27) = 3$
2. $47 * 26 = 1222$
3. $1222 - 3 = 1219$
... | ((47 * 26) - cbrt(27)) + 74 | 1293 | power | 2 | 4 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: log(28, 5) - sin(270). This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $log(28, 5) = 2.0704150712689535$
2. $sin(270) = -1$
3. $2.07041... | log(28, 5) - sin(270) | 3.0704150712689535 | mixed | 4 | 3 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((67 / csc(45)) - cbrt(8)) * 57. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $csc(45) = 1.414213562373095$
2. $cbrt(8) = 2$
3. $67 ... | ((67 / csc(45)) - cbrt(8)) * 57 | 227606.79016692544 | mixed | 4 | 6 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: cbrt(216) - 13. 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. $5.999999999999999 - 13 = -7.000000000... | cbrt(216) - 13 | -7.000000000000001 | power | 2 | 2 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: (29 - 90) * log(39, 2). 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. $29 - 90 = -61$
3. $-61 * 5... | (29 - 90) * log(39, 2) | -322.4095353505972 | log | 3 | 3 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: 74 * 59. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $74 * 59 = 4366$
The answer is $4366$
3. Drafting the response: "Ответ на ваш за... | 74 * 59 | 4366 | arithmetic | 4 | 1 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: 71 + 70. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $71 + 70 = 141$
The answer is $141$
3. Drafting the response: "Ответ на ваш запр... | 71 + 70 | 141 | arithmetic | 1 | 1 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: csc(90) / 38. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $csc(90) = 1$
2. $1 / 38 = 0.02631578947368421$
The answer is $0.02631578... | csc(90) / 38 | 0.02631578947368421 | trig | 3 | 2 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: (14 / cos(0)) + 75. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $cos(0) = 1$
2. $14 / 1 = 14$
3. $14 + 75 = 89$
The answer is $89... | (14 / cos(0)) + 75 | 89 | trig | 4 | 3 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: 40 / 27. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $40 / 27 = 1.4814814814814814$
The answer is $1.4814814814814814$
3. Drafting th... | 40 / 27 | 1.4814814814814814 | arithmetic | 4 | 1 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: 90 + csc(60). 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. $90 + 1.1547005383792517 = 91.15470053837... | 90 + csc(60) | 91.15470053837925 | trig | 1 | 2 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: 85 - 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. $85 - -1 = 86$
The answer is $86$
3. Drafting the res... | 85 - cos(180) | 86 | trig | 2 | 2 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: (35 - cot(30)) + 70. 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. $35 - 1.7320508075688774 = 33.2679... | (35 - cot(30)) + 70 | 103.26794919243113 | trig | 1 | 3 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: (95 * tan(225)) * 42. 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. $95 * 0.9999999999999997 = 94.99... | (95 * tan(225)) * 42 | 3989.9999999999986 | trig | 4 | 3 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: (cos(360) * 23) - 54. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $cos(360) = 1$
2. $1 * 23 = 23$
3. $23 - 54 = -31$
The answer i... | (cos(360) * 23) - 54 | -31 | trig | 4 | 3 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((tan(45) / 95) + 12) * 27. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $tan(45) = 0.9999999999999999$
2. $0.9999999999999999 / 95 = ... | ((tan(45) / 95) + 12) * 27 | 324.2842105263158 | trig | 4 | 4 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((49 * 62) / 19) * 8. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $49 * 62 = 3038$
2. $3038 / 19 = 159.89473684210526$
3. $159.8947... | ((49 * 62) / 19) * 8 | 1279.157894736842 | arithmetic | 2 | 3 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: log(39, 2) - 33. 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. $5.285402218862249 - 33 = -27.714597... | log(39, 2) - 33 | -27.71459778113775 | log | 5 | 2 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((47 - sin(0)) * log(19, 2)) / 20. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $sin(0) = 0$
2. $log(19, 2) = 4.247927513443585$
3. ... | ((47 - sin(0)) * log(19, 2)) / 20 | 81.98262965659242 | mixed | 1 | 6 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: (93 + 25) * 2. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $93 + 25 = 118$
2. $118 * 2 = 236$
The answer is $236$
3. Drafting the r... | (93 + 25) * 2 | 236 | arithmetic | 4 | 2 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((94 / 76) + 98) + 16. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $94 / 76 = 1.236842105263158$
2. $1.236842105263158 + 98 = 99.2368... | ((94 / 76) + 98) + 16 | 115.23684210526316 | arithmetic | 1 | 3 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((12 - sin(0)) / 6**4) * sqrt(16). This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $sin(0) = 0$
2. $6**4 = 1296$
3. $sqrt(16) = 4$
4.... | ((12 - sin(0)) / 6**4) * sqrt(16) | 0.037037037037037035 | mixed | 1 | 6 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((tan(30) / 4) - sqrt(100)) - 24. 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. $sqrt(100) = 10$
3.... | ((tan(30) / 4) - sqrt(100)) - 24 | -32.4414488703295 | mixed | 1 | 7 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((46 * 71) / 87) / 14. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $46 * 71 = 3266$
2. $3266 / 87 = 37.54022988505747$
3. $37.54022... | ((46 * 71) / 87) / 14 | 2.6814449917898195 | arithmetic | 3 | 3 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: csc(150) - 44. 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. $2.0000000000000004 - 44 = -42$
The a... | csc(150) - 44 | -42 | trig | 1 | 2 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: (log(17, 3) - sin(0)) * 53. 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. $sin(0) = 0$
3. $2.578... | (log(17, 3) - sin(0)) * 53 | 136.68180192761596 | mixed | 2 | 4 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((1 * 96) / 65) * 87. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $log(34, 5) = 2.1910509857959815$
2. $1 * 96 = 96$
3. $96 / 65 = ... | ((1 * 96) / 65) * 87 | 281.53319743643135 | log | 2 | 5 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((3**3 - 72) - 3) / 57. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $3**3 = 27$
2. $27 - 72 = -45$
3. $-45 - 3 = -48$
4. $-48 / 5... | ((3**3 - 72) - 3) / 57 | 74.15789473684211 | power | 2 | 5 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((log(8, 10) - 11) + 63) * 99. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $log(8, 10) = 0.9030899869919434$
2. $0.9030899869919434 -... | ((log(8, 10) - 11) + 63) * 99 | 5237.405908712202 | log | 2 | 4 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: (cbrt(125) * 20) - 42. 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 * 20 = 99.99... | (cbrt(125) * 20) - 42 | 57.999999999999986 | power | 4 | 3 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: 93 + 94. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $93 + 94 = 187$
The answer is $187$
3. Drafting the response: "Ответ на ваш запр... | 93 + 94 | 187 | arithmetic | 4 | 1 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((cos(90) - 92) / tan(45)) - 57. 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. $tan(45) = 0.999999... | ((cos(90) - 92) / tan(45)) - 57 | -6407 | trig | 2 | 6 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: 94 - 70. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $94 - 70 = 24$
The answer is $24$
3. Drafting the response: "Ответ на ваш запрос... | 94 - 70 | 24 | arithmetic | 5 | 1 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((20 - tan(30)) - log(43, 5)) - 73. 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(43, 5) = 2.336... | ((20 - tan(30)) - log(43, 5)) - 73 | -55.91431529693969 | mixed | 5 | 5 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((cos(90) / 37) - 6**4) / 85. 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. $6**4 = 1296$
3. $6.... | ((cos(90) / 37) - 6**4) / 85 | -15.24705882352941 | mixed | 3 | 5 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((cos(180) + 6) / 3) * sin(270). This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $cos(180) = -1$
2. $sin(270) = -1$
3. $-1 + 6 = 5$
4... | ((cos(180) + 6) / 3) * sin(270) | -1.6666666666666667 | trig | 3 | 5 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: (sin(90) + sqrt(9)) / 62. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $sin(90) = 1$
2. $sqrt(9) = 3$
3. $1 + 3 = 4$
4. $4 / 62 = ... | (sin(90) + sqrt(9)) / 62 | 0.06451612903225806 | mixed | 1 | 4 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((3 * 21) * 86) * 57. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $3 * 21 = 63$
2. $63 * 86 = 5418$
3. $5418 * 57 = 308826$
The a... | ((3 * 21) * 86) * 57 | 308826 | arithmetic | 3 | 3 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((84 - 40) / tan(315)) - sqrt(9). 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. $sqrt(9) = 3$
3. ... | ((84 - 40) / tan(315)) - sqrt(9) | -4.272727272727271 | mixed | 1 | 6 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: (58 - 77) / 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. $58 - 77 = -19$
3. $-19 / 0.5773... | (58 - 77) / tan(30) | -32.90896534380867 | trig | 3 | 3 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((41 - cbrt(125)) + 4) + sin(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. $sin(0) = 0$
3. $41... | ((41 - cbrt(125)) + 4) + sin(0) | 98 | mixed | 2 | 6 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: (17 - 78) * 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. $17 - 78 = -61$
3. $-61 * 0.5000... | (17 - 78) * cos(60) | -30.500000000000007 | trig | 1 | 3 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((93 * 65) - 8) + 97. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $93 * 65 = 6045$
2. $6045 - 8 = 6037$
3. $6037 + 97 = 6134$
The... | ((93 * 65) - 8) + 97 | 6134 | arithmetic | 3 | 3 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((cos(180) * cbrt(8)) + 97) + 86. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $cos(180) = -1$
2. $cbrt(8) = 2$
3. $-1 * 2 = -2$
4... | ((cos(180) * cbrt(8)) + 97) + 86 | 181 | mixed | 2 | 5 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: (63 + log(9, 5)) / 31. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $log(9, 5) = 1.3652123889719707$
2. $63 + 1.3652123889719707 = 64.... | (63 + log(9, 5)) / 31 | 2.0762971738378053 | log | 5 | 3 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((13 * cos(360)) / 38) / sec(30). This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $cos(360) = 1$
2. $sec(30) = 1.1547005383792515$
3. $... | ((13 * cos(360)) / 38) / sec(30) | 0.29627184866309747 | trig | 5 | 5 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((74 * 26) + 94) * sec(240). 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. $sqrt(49) = 7$
3. $74 ... | ((74 * 26) + 94) * sec(240) | -4042.9999999999964 | mixed | 1 | 6 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: sin(180) + 28. 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. $1.2246467991473532e-16 + 28 = 28$
... | sin(180) + 28 | 28 | trig | 5 | 2 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((95 + log(28, 5)) - 40) + 79. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $log(28, 5) = 2.0704150712689535$
2. $log(3, 5) = 0.682606... | ((95 + log(28, 5)) - 40) + 79 | 136.75302126575494 | log | 1 | 6 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: (90 + 4**3) - 69. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $4**3 = 64$
2. $90 + 64 = 154$
3. $154 - 69 = 85$
The answer is $85... | (90 + 4**3) - 69 | 85 | power | 1 | 3 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: (83 - log(39, 10)) / 2. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $log(39, 10) = 1.591064607026499$
2. $83 - 1.591064607026499 = 81... | (83 - log(39, 10)) / 2 | 40.70446769648675 | log | 2 | 3 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: 2**3 + 18. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $2**3 = 8$
2. $8 + 18 = 26$
The answer is $26$
3. Drafting the response: "От... | 2**3 + 18 | 26 | power | 3 | 2 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((100 + 73) * cos(90)) - 92. 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. $100 + 73 = 173$
3. $... | ((100 + 73) * cos(90)) - 92 | -91.99999999999999 | trig | 3 | 4 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: cot(270) * cos(360). 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. $cos(360) = 1$
3. $1.83697019... | cot(270) * cos(360) | 1.83697019872103e-16 | trig | 5 | 3 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((log(19, 10) * cbrt(8)) * 56) / 70. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $log(19, 10) = 1.2787536009528289$
2. $cbrt(8) = 2$
... | ((log(19, 10) * cbrt(8)) * 56) / 70 | 2.046005761524526 | mixed | 2 | 5 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((78 - cbrt(216)) / 28) + 51. 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. $78 - 5.999999999999999 ... | ((78 - cbrt(216)) / 28) + 51 | 2732.142857142857 | power | 5 | 5 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((8 - 69) / csc(45)) * 59. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $csc(45) = 1.414213562373095$
2. $csc(45) = 1.414213562373095$... | ((8 - 69) / csc(45)) * 59 | -1799.5000000000005 | trig | 3 | 6 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: (28 * log(29, 10)) - 56. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $log(29, 10) = 1.462397997898956$
2. $28 * 1.462397997898956 = 4... | (28 * log(29, 10)) - 56 | -15.052856058829228 | log | 1 | 3 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: (66 / 4**4) - sec(45). This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $4**4 = 256$
2. $sec(45) = 1.414213562373095$
3. $66 / 256 = 0.2... | (66 / 4**4) - sec(45) | -1.156401062373095 | mixed | 2 | 4 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((sin(60) - 3) + 44) + sin(90). 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. $sin(90) = 1$
3. $0.8... | ((sin(60) - 3) + 44) + sin(90) | 42.86602540378444 | trig | 2 | 5 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((60 - sqrt(9)) - 15) - 6. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $sqrt(9) = 3$
2. $6**2 = 36$
3. $60 - 3 = 57$
4. $57 - 15 ... | ((60 - sqrt(9)) - 15) - 6 | 72 | power | 1 | 6 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((cos(90) - cbrt(216)) - 22) / sin(30). 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. $cbrt(216) =... | ((cos(90) - cbrt(216)) - 22) / sin(30) | -33.00000000000001 | mixed | 4 | 7 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((11 / 12) - 54) * 2**4. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $2**4 = 16$
2. $11 / 12 = 0.9166666666666666$
3. $0.9166666666... | ((11 / 12) - 54) * 2**4 | -11.962441314553992 | power | 2 | 5 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((29 + sec(30)) * 48) / log(44, 10). 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. $log(44, 10) = 1.6... | ((29 + sec(30)) * 48) / log(44, 10) | 67815.62668913664 | mixed | 1 | 6 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((sqrt(4) * 30) - cos(90)) + 58. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $sqrt(4) = 2$
2. $cos(90) = 6.123233995736766e-17$
3. ... | ((sqrt(4) * 30) - cos(90)) + 58 | 118 | mixed | 2 | 5 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((cos(90) / 70) + 10) / 8. 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) / 70) + 10) / 8 | 1.25 | trig | 2 | 4 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((cos(60) + tan(225)) / log(35, 2)) - 88. 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(225) = 0... | ((cos(60) + tan(225)) / log(35, 2)) - 88 | -45.70756146715932 | mixed | 5 | 7 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: 2 / 47. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $2 / 47 = 0.0425531914893617$
The answer is $0.0425531914893617$
3. Drafting the ... | 2 / 47 | 0.0425531914893617 | arithmetic | 3 | 1 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((99 + 69) + 65) * cot(30). 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. $99 + 69 = 168$
3. $168 +... | ((99 + 69) + 65) * cot(30) | 403.56783816354846 | trig | 4 | 4 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((sqrt(16) * csc(150)) + log(17, 5)) * 93. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $sqrt(16) = 4$
2. $csc(150) = 2.00000000000000... | ((sqrt(16) * csc(150)) + log(17, 5)) * 93 | 889.7148217782009 | mixed | 3 | 7 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: sin(45) / 32. 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. $0.7071067811865476 / 32 = 0.022097086912... | sin(45) / 32 | 0.02209708691207961 | trig | 4 | 2 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((log(33, 2) + tan(0)) * 7) / 92. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $log(33, 2) = 5.044394119358453$
2. $tan(0) = 0$
3. $... | ((log(33, 2) + tan(0)) * 7) / 92 | 0.3838125960381432 | mixed | 5 | 5 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((90 - 3) - cot(30)) * 4**4. 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. $4**4 = 256$
3. $log(40,... | ((90 - 3) - cot(30)) * 4**4 | 21830.197053253694 | mixed | 3 | 7 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: (13 - 5) + sin(30). 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. $13 - 5 = 8$
3. $8 + 0.499999999... | (13 - 5) + sin(30) | 8.5 | trig | 2 | 3 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: 71 + 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. $71 + 5 = 76$
The answer is $76$
3. Drafting the respo... | 71 + sqrt(25) | 76 | power | 3 | 2 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((cos(60) / 20) / cos(360)) - 70. 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. $cos(360) = 1$
3. $... | ((cos(60) / 20) / cos(360)) - 70 | -69.975 | trig | 3 | 5 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((49 - cbrt(8)) / cbrt(8)) - 31. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $cbrt(8) = 2$
2. $cbrt(8) = 2$
3. $49 - 2 = 47$
4. $... | ((49 - cbrt(8)) / cbrt(8)) - 31 | 72.5 | power | 2 | 6 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: cos(180) * 46. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $cos(180) = -1$
2. $-1 * 46 = -46$
The answer is $-46$
3. Drafting the r... | cos(180) * 46 | -46 | trig | 4 | 2 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: (39 / 3) - 11. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $39 / 3 = 13$
2. $13 - 11 = 2$
The answer is $2$
3. Drafting the respons... | (39 / 3) - 11 | 2 | arithmetic | 3 | 2 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((73 / 24) * 20) + sqrt(64). This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $sqrt(64) = 8$
2. $73 / 24 = 3.0416666666666665$
3. $3.041... | ((73 / 24) * 20) + sqrt(64) | 68.83333333333333 | power | 5 | 4 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((sec(30) - 14) + log(18, 10)) / 66. 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. $log(18, 10) = 1.2... | ((sec(30) - 14) + log(18, 10)) / 66 | -1.5804582213432876 | mixed | 2 | 7 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((sec(120) + 69) / 48) * log(15, 3). 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. $log(15, 3) = 2.4... | ((sec(120) + 69) / 48) * log(15, 3) | 3.4406922060021063 | mixed | 4 | 5 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((66 - 40) * 3) / 5. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $66 - 40 = 26$
2. $26 * 3 = 78$
3. $78 / 5 = 15.6$
The answer is... | ((66 - 40) * 3) / 5 | 15.6 | arithmetic | 3 | 3 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: (sin(90) * 15) - cbrt(8). This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $sin(90) = 1$
2. $cbrt(8) = 2$
3. $1 * 15 = 15$
4. $15 - 2 ... | (sin(90) * 15) - cbrt(8) | 13 | mixed | 1 | 4 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: (95 / 16) * 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. $95 / 16 = 5.9375$
3. $5.9375 * -1 = -5.9375$
... | (95 / 16) * sin(270) | -5.9375 | trig | 1 | 3 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((2**4 / sqrt(100)) / log(49, 10)) + 10. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $2**4 = 16$
2. $sqrt(100) = 10$
3. $log(49, 10... | ((2**4 / sqrt(100)) / log(49, 10)) + 10 | 10.946635729963951 | mixed | 1 | 6 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: (30 - 89) * sec(30). 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. $30 - 89 = -59$
3. $-59 * 1.1547... | (30 - 89) * sec(30) | -68.12733176437584 | trig | 4 | 3 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((69 + 71) + log(16, 3)) - cos(90). This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $log(16, 3) = 2.5237190142858297$
2. $cos(90) = 6.123... | ((69 + 71) + log(16, 3)) - cos(90) | 441.2396483602277 | mixed | 3 | 7 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((62 / 33) + 51) - 54. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $62 / 33 = 1.878787878787879$
2. $1.878787878787879 + 51 = 52.8787... | ((62 / 33) + 51) - 54 | -1.1212121212121247 | arithmetic | 4 | 3 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: log(5, 2) / 48. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $log(5, 2) = 2.321928094887362$
2. $2.321928094887362 / 48 = 0.0483735019... | log(5, 2) / 48 | 0.04837350197682005 | log | 2 | 2 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: (sec(180) + 8) + sqrt(4). This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $sec(180) = -1$
2. $sqrt(4) = 2$
3. $-1 + 8 = 7$
4. $7 + 2 ... | (sec(180) + 8) + sqrt(4) | 9 | mixed | 3 | 4 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((log(9, 10) * 52) / log(7, 10)) * 2**3. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $log(9, 10) = 0.9542425094393249$
2. $log(7, 10)... | ((log(9, 10) * 52) / log(7, 10)) * 2**3 | 469.72642833257834 | mixed | 1 | 6 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((90 + 17) / 93) - 49. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $90 + 17 = 107$
2. $107 / 93 = 1.1505376344086022$
3. $1.1505376... | ((90 + 17) / 93) - 49 | -1.6499814608824621 | arithmetic | 3 | 4 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: 7 + 2**4. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $2**4 = 16$
2. $7 + 16 = 23$
The answer is $23$
3. Drafting the response: "От... | 7 + 2**4 | 23 | power | 4 | 2 |
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