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: ((2**2 - 5) - 97) * 49. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $2**2 = 4$
2. $sec(60) = 1.9999999999999996$
3. $4 - 5 = -1$
... | ((2**2 - 5) - 97) * 49 | -2401.0000000000005 | mixed | 2 | 6 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((85 + csc(270)) + 73) * cos(60). This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $csc(270) = -1$
2. $cos(60) = 0.5000000000000001$
3. ... | ((85 + csc(270)) + 73) * cos(60) | 78.50000000000001 | trig | 5 | 5 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: (tan(315) / log(3, 5)) * csc(30). 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. $log(3, 5) = 0.6826... | (tan(315) / log(3, 5)) * csc(30) | -2.929947041435856 | mixed | 3 | 5 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((90 / sqrt(49)) / 99) + 28. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $sqrt(49) = 7$
2. $90 / 7 = 12.857142857142858$
3. $12.857... | ((90 / sqrt(49)) / 99) + 28 | 28.12987012987013 | power | 4 | 4 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: sqrt(4) * 49. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $sqrt(4) = 2$
2. $2 * 49 = 98$
The answer is $98$
3. Drafting the respons... | sqrt(4) * 49 | 98 | power | 1 | 2 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((81 / 4) / 100) / 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. $81 / 4 = 20.25$
3. $20.25 / 100 = 0.20... | ((81 / 4) / 100) / cos(180) | 17.7975 | trig | 5 | 5 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((15 * 89) - 61) / 46. 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. $15 * 89 = 1335$
3. $1335 - 61... | ((15 * 89) - 61) / 46 | 23.985138356986408 | trig | 3 | 5 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: (sqrt(16) / 12) / 75. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $sqrt(16) = 4$
2. $4 / 12 = 0.3333333333333333$
3. $0.33333333333... | (sqrt(16) / 12) / 75 | 0.0044444444444444444 | power | 2 | 3 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: sec(180) + 69. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $sec(180) = -1$
2. $-1 + 69 = 68$
The answer is $68$
3. Drafting the res... | sec(180) + 69 | 68 | trig | 1 | 2 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((40 - cot(225)) - 39) * 87. 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. $log(17, 10) = 1.23044892... | ((40 - cot(225)) - 39) * 87 | -1.2304489213782739 | mixed | 2 | 6 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((2 * 2) / 61) - cos(45). This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $cos(45) = 0.7071067811865476$
2. $2 * 2 = 4$
3. $4 / 61 = 0.... | ((2 * 2) / 61) - cos(45) | -0.6415330106947443 | trig | 5 | 4 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: (100 * 82) + 22. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $100 * 82 = 8200$
2. $8200 + 22 = 8222$
The answer is $8222$
3. Drafti... | (100 * 82) + 22 | 8222 | arithmetic | 4 | 2 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: log(16, 2) + csc(60). This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $log(16, 2) = 4$
2. $csc(60) = 1.1547005383792517$
3. $4 + 1.1547... | log(16, 2) + csc(60) | 5.1547005383792515 | mixed | 5 | 3 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: tan(45) * 22. 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 * 22 = 21.99999999999... | tan(45) * 22 | 21.999999999999996 | trig | 5 | 2 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((98 - 64) + sin(0)) - 79. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $sin(0) = 0$
2. $sec(360) = 1$
3. $98 - 64 = 34$
4. $34 + ... | ((98 - 64) + sin(0)) - 79 | -44 | trig | 1 | 6 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: (log(50, 2) / 62) - sin(60). This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $log(50, 2) = 5.643856189774724$
2. $sin(60) = 0.86602540378... | (log(50, 2) / 62) - sin(60) | -0.774995465239685 | mixed | 4 | 4 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: 39 - 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. $39 - 1.7320508075688767 = 37.26794919243... | 39 - tan(60) | 37.267949192431125 | trig | 4 | 2 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((cos(90) + 87) * 2**2) / 32. 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. $2**2 = 4$
3. $6.123... | ((cos(90) + 87) * 2**2) / 32 | -66.125 | mixed | 2 | 6 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: (log(31, 3) - cos(30)) - 77. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $log(31, 3) = 3.1257498572570146$
2. $cos(30) = 0.8660254037... | (log(31, 3) - cos(30)) - 77 | -74.74027554652743 | mixed | 3 | 4 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: (sqrt(16) + 100) - 73. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $sqrt(16) = 4$
2. $4 + 100 = 104$
3. $104 - 73 = 31$
The answe... | (sqrt(16) + 100) - 73 | 31 | power | 1 | 3 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: 89 / 100. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $89 / 100 = 0.89$
The answer is $0.89$
3. Drafting the response: "Ответ на ваш ... | 89 / 100 | 0.89 | arithmetic | 3 | 1 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((3**3 + 60) / 86) / 45. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $3**3 = 27$
2. $27 + 60 = 87$
3. $87 / 86 = 1.0116279069767442... | ((3**3 + 60) / 86) / 45 | 0.02248062015503876 | power | 5 | 4 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((sec(45) * 55) / 84) * cos(0). This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $sec(45) = 1.414213562373095$
2. $cos(0) = 1$
3. $1.414... | ((sec(45) * 55) / 84) * cos(0) | 0.9259731658395264 | trig | 5 | 5 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: (34 - 88) * 82. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $34 - 88 = -54$
2. $-54 * 82 = -4428$
The answer is $-4428$
3. Drafting... | (34 - 88) * 82 | -4428 | arithmetic | 1 | 2 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: (sqrt(16) * cos(90)) * 11. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $sqrt(16) = 4$
2. $cos(90) = 6.123233995736766e-17$
3. $4 * ... | (sqrt(16) * cos(90)) * 11 | 2.6942229581241772e-15 | mixed | 3 | 4 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: (80 * log(21, 2)) + log(43, 3). This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $log(21, 2) = 4.392317422778761$
2. $log(43, 3) = 3.42359... | (80 * log(21, 2)) + log(43, 3) | 354.8089857067985 | log | 2 | 4 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: 9 + sin(360). This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $sin(360) = -2.4492935982947064e-16$
2. $9 + -2.4492935982947064e-16 = 9$
... | 9 + sin(360) | 9 | trig | 5 | 2 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: 58 / 92. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $58 / 92 = 0.6304347826086957$
The answer is $0.6304347826086957$
3. Drafting th... | 58 / 92 | 0.6304347826086957 | arithmetic | 3 | 1 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: (9 / 99) / 59. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $9 / 99 = 0.09090909090909091$
2. $0.09090909090909091 / 59 = 0.0015408320... | (9 / 99) / 59 | 0.0015408320493066256 | arithmetic | 4 | 2 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((log(13, 5) / 53) / sqrt(81)) - 71. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $log(13, 5) = 1.5936926411670824$
2. $sqrt(81) = 9$
... | ((log(13, 5) / 53) / sqrt(81)) - 71 | -138.99665892528057 | mixed | 4 | 6 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((log(45, 2) - 19) / 99) / 55. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $log(45, 2) = 5.491853096329675$
2. $5.491853096329675 - 1... | ((log(45, 2) - 19) / 99) / 55 | -0.022327515543256737 | log | 3 | 5 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((81 / sqrt(81)) + sqrt(81)) + cos(360). This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $sqrt(81) = 9$
2. $sqrt(81) = 9$
3. $cos(360) ... | ((81 / sqrt(81)) + sqrt(81)) + cos(360) | 19 | mixed | 5 | 6 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: csc(60) - sqrt(36). 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. $sqrt(36) = 6$
3. $1.154700538379... | csc(60) - sqrt(36) | -4.8452994616207485 | mixed | 5 | 3 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((96 / log(28, 5)) / 80) - 32. 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. $96 / 2.0704150712689... | ((96 / log(28, 5)) / 80) - 32 | -31.420406073809865 | log | 1 | 4 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: (9 - 72) * 4**4. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $4**4 = 256$
2. $9 - 72 = -63$
3. $-63 * 256 = -16128$
The answer is... | (9 - 72) * 4**4 | -16128 | power | 3 | 3 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((46 + 88) * 75) + 95. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $46 + 88 = 134$
2. $134 * 75 = 10050$
3. $10050 + 95 = 10145$
... | ((46 + 88) * 75) + 95 | 10145 | arithmetic | 1 | 3 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: 94 - 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. $94 - -1.0000000000000004 = 95$
The ... | 94 - tan(315) | 95 | trig | 4 | 2 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: 10 + 52. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $10 + 52 = 62$
The answer is $62$
3. Drafting the response: "Ответ на ваш запрос... | 10 + 52 | 62 | arithmetic | 2 | 1 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: cbrt(216) - sqrt(100). 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. $sqrt(100) = 10$
3. $5.999999... | cbrt(216) - sqrt(100) | -4.000000000000001 | power | 4 | 3 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: (61 * tan(135)) + sqrt(36). 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. $sqrt(36) = 6$
3. $61 *... | (61 * tan(135)) + sqrt(36) | -55.000000000000014 | mixed | 3 | 4 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: log(28, 3) * csc(30). This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $log(28, 3) = 3.033103256304337$
2. $csc(30) = 2.0000000000000004$
... | log(28, 3) * csc(30) | 6.066206512608676 | mixed | 2 | 3 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((cbrt(64) - 74) * 100) * cot(30). 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(30) = 1.732050... | ((cbrt(64) - 74) * 100) * cot(30) | -121243.55652982142 | mixed | 4 | 6 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((43 + 5**2) * 16) + 99. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $5**2 = 25$
2. $43 + 25 = 68$
3. $68 * 16 = 1088$
4. $1088 +... | ((43 + 5**2) * 16) + 99 | 1187 | power | 1 | 4 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((19 / cbrt(8)) / 34) / 2**2. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $cbrt(8) = 2$
2. $2**2 = 4$
3. $19 / 2 = 9.5$
4. $9.5 /... | ((19 / cbrt(8)) / 34) / 2**2 | 0.06985294117647059 | power | 4 | 5 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((8 / cos(0)) * log(32, 3)) / 70. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $cos(0) = 1$
2. $log(32, 3) = 3.154648767857287$
3. $... | ((8 / cos(0)) * log(32, 3)) / 70 | 0.3605312877551185 | mixed | 3 | 5 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: (28 - 82) / 18. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $28 - 82 = -54$
2. $-54 / 18 = -3$
The answer is $-3$
3. Drafting the r... | (28 - 82) / 18 | -3 | arithmetic | 2 | 2 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: (43 + 21) + 87. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $43 + 21 = 64$
2. $64 + 87 = 151$
The answer is $151$
3. Drafting the r... | (43 + 21) + 87 | 151 | arithmetic | 4 | 2 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: 21 - 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. $21 - 0.49999999999999994 = 20.5$
The ... | 21 - sin(30) | 20.5 | trig | 2 | 2 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: (log(31, 10) - 90) * sqrt(100). This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $log(31, 10) = 1.4913616938342726$
2. $sqrt(100) = 10$
... | (log(31, 10) - 90) * sqrt(100) | -885.0863830616572 | mixed | 1 | 4 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((25 + cot(135)) / 63) + cos(0). This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $cot(135) = -0.9999999999999998$
2. $cos(0) = 1$
3. $2... | ((25 + cot(135)) / 63) + cos(0) | -33.61904761904762 | trig | 3 | 6 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: 3 / 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. $3 / -1 = -3$
The answer is $-3$
3. Drafting the respo... | 3 / sin(270) | -3 | trig | 3 | 2 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: 78 / log(20, 3). This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $log(20, 3) = 2.7268330278608417$
2. $78 / 2.7268330278608417 = 28.60461... | 78 / log(20, 3) | 28.604611724682606 | log | 1 | 2 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((log(31, 5) / tan(315)) - cbrt(8)) - 70. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $log(31, 5) = 2.133656214977323$
2. $tan(315) =... | ((log(31, 5) / tan(315)) - cbrt(8)) - 70 | -386.19582487549314 | mixed | 3 | 8 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((16 - 15) * 50) + cos(45). This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $cos(45) = 0.7071067811865476$
2. $16 - 15 = 1$
3. $1 * 50 ... | ((16 - 15) * 50) + cos(45) | 50.707106781186546 | trig | 2 | 4 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((31 - cos(60)) / 34) + 47. 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. $31 - 0.5000000000000001 = ... | ((31 - cos(60)) / 34) + 47 | 0.7257130124777184 | trig | 5 | 5 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((cos(45) - 98) / 73) + log(44, 3). 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. $log(44, 3) = 3.444... | ((cos(45) - 98) / 73) + log(44, 3) | 2.1117384866252245 | mixed | 3 | 5 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: (sec(0) + 5**4) + 68. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $sec(0) = 1$
2. $5**4 = 625$
3. $1 + 625 = 626$
4. $626 + 68 = ... | (sec(0) + 5**4) + 68 | 694 | mixed | 1 | 4 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: (sin(90) - cos(30)) + 21. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $sin(90) = 1$
2. $cos(30) = 0.8660254037844387$
3. $1 - 0.866... | (sin(90) - cos(30)) + 21 | 21.133974596215563 | trig | 4 | 4 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: (log(45, 2) * 86) + 69. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $log(45, 2) = 5.491853096329675$
2. $5.491853096329675 * 86 = 472... | (log(45, 2) * 86) + 69 | 541.299366284352 | log | 5 | 3 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((67 + log(13, 2)) - 30) - 21. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $log(13, 2) = 3.700439718141092$
2. $67 + 3.70043971814109... | ((67 + log(13, 2)) - 30) - 21 | 19.700439718141098 | log | 5 | 4 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((16 - cbrt(8)) * 19) * 90. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $cbrt(8) = 2$
2. $16 - 2 = 14$
3. $14 * 19 = 266$
4. $266... | ((16 - cbrt(8)) * 19) * 90 | 23940 | power | 1 | 4 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: 35 + 28. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $35 + 28 = 63$
The answer is $63$
3. Drafting the response: "Ответ на ваш запрос... | 35 + 28 | 63 | arithmetic | 3 | 1 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: (94 - 11) + cbrt(216). This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $cbrt(216) = 5.999999999999999$
2. $94 - 11 = 83$
3. $83 + 5.999... | (94 - 11) + cbrt(216) | 89 | power | 2 | 3 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((49 / log(12, 3)) + 37) - sin(0). This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $log(12, 3) = 2.2618595071429146$
2. $sin(0) = 0$
3.... | ((49 / log(12, 3)) + 37) - sin(0) | 0.6240807587892476 | mixed | 5 | 6 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((sec(120) / 93) - sin(45)) + cos(360). 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. $sin(45) = 0.7... | ((sec(120) / 93) - sin(45)) + cos(360) | 0.2713878424693664 | trig | 5 | 6 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: (40 * 48) * 4. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $40 * 48 = 1920$
2. $1920 * 4 = 7680$
The answer is $7680$
3. Drafting t... | (40 * 48) * 4 | 7680 | arithmetic | 5 | 2 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((52 * sec(0)) + 50) * cbrt(216). This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $sec(0) = 1$
2. $cbrt(216) = 5.999999999999999$
3. $5... | ((52 * sec(0)) + 50) * cbrt(216) | 611.9999999999999 | mixed | 1 | 5 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((99 - 2) / 54) - 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. $99 - 2 = 97$
3. $97 / 54 ... | ((99 - 2) / 54) - tan(60) | -93.93575451127258 | trig | 3 | 5 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: (6 / 34) - 90. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $6 / 34 = 0.17647058823529413$
2. $0.17647058823529413 - 90 = -89.82352941... | (6 / 34) - 90 | -89.82352941176471 | arithmetic | 3 | 2 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: 57 / log(27, 3). This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $log(27, 3) = 3$
2. $57 / 3 = 19$
The answer is $19$
3. Drafting the r... | 57 / log(27, 3) | 19 | log | 5 | 2 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((6 * 35) + tan(30)) / tan(315). 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. $tan(315) = -1.0000000... | ((6 * 35) + tan(30)) / tan(315) | -204.57735026918954 | mixed | 5 | 7 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: sec(360) - 56. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $sec(360) = 1$
2. $1 - 56 = -55$
The answer is $-55$
3. Drafting the res... | sec(360) - 56 | -55 | trig | 2 | 2 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: (27 * sec(0)) + 62. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $sec(0) = 1$
2. $27 * 1 = 27$
3. $27 + 62 = 89$
The answer is $89... | (27 * sec(0)) + 62 | 89 | trig | 1 | 3 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: 62 * 7. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $62 * 7 = 434$
The answer is $434$
3. Drafting the response: "Ответ на ваш запрос... | 62 * 7 | 434 | arithmetic | 4 | 1 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: (59 + log(40, 10)) * 80. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $log(40, 10) = 1.6020599913279623$
2. $59 + 1.6020599913279623 =... | (59 + log(40, 10)) * 80 | 4848.164799306237 | log | 4 | 3 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((8 / log(21, 10)) * 4) + cot(135). This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $log(21, 10) = 1.322219294733919$
2. $cot(135) = -0.9... | ((8 / log(21, 10)) * 4) + cot(135) | 23.201734256524837 | mixed | 4 | 5 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((sec(120) / sin(30)) + 84) / 68. 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. $sin(30) = 0.4999999... | ((sec(120) / sin(30)) + 84) / 68 | 0.016339869281045753 | trig | 1 | 6 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((91 - sec(0)) + 60) + 74. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $sec(0) = 1$
2. $91 - 1 = 90$
3. $90 + 60 = 150$
4. $150 +... | ((91 - sec(0)) + 60) + 74 | 224 | trig | 5 | 4 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((cos(180) + 98) + csc(60)) - 20. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $cos(180) = -1$
2. $csc(60) = 1.1547005383792517$
3. ... | ((cos(180) + 98) + csc(60)) - 20 | 78.15470053837925 | trig | 4 | 5 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: sqrt(36) - 62. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $sqrt(36) = 6$
2. $6 - 62 = -56$
The answer is $-56$
3. Drafting the res... | sqrt(36) - 62 | -56 | power | 4 | 2 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: 87 * 66. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $87 * 66 = 5742$
The answer is $5742$
3. Drafting the response: "Ответ на ваш за... | 87 * 66 | 5742 | arithmetic | 1 | 1 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((65 + sqrt(9)) * sqrt(4)) + 2. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $sqrt(9) = 3$
2. $sqrt(4) = 2$
3. $65 + 3 = 68$
4. $6... | ((65 + sqrt(9)) * sqrt(4)) + 2 | 138 | power | 1 | 5 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: (26 - 66) - 90. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $26 - 66 = -40$
2. $-40 - 90 = -130$
The answer is $-130$
3. Drafting t... | (26 - 66) - 90 | -130 | arithmetic | 5 | 2 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((9 + log(34, 5)) / 83) / csc(90). 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. $csc(90) = 1$
3... | ((9 + log(34, 5)) / 83) / csc(90) | 0.004085816351148588 | mixed | 4 | 6 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: sin(270) + 92. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $sin(270) = -1$
2. $-1 + 92 = 91$
The answer is $91$
3. Drafting the res... | sin(270) + 92 | 91 | trig | 5 | 2 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: sqrt(9) - 71. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $sqrt(9) = 3$
2. $3 - 71 = -68$
The answer is $-68$
3. Drafting the respo... | sqrt(9) - 71 | -68 | power | 5 | 2 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((34 - 92) + 10) - 6. 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. $34 - 92 = -58$
3. $-58 + 10 ... | ((34 - 92) + 10) - 6 | 54.00000000000002 | trig | 3 | 5 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: (91 * cos(270)) - 14. 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. $91 * -1.8369701987210297e-... | (91 * cos(270)) - 14 | -14.000000000000016 | trig | 4 | 3 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: (56 - 45) - 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. $56 - 45 = 11$
3. $11 - 0.49999... | (56 - 45) - sin(30) | 10.5 | trig | 3 | 3 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: 95 + 92. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $95 + 92 = 187$
The answer is $187$
3. Drafting the response: "Ответ на ваш запр... | 95 + 92 | 187 | arithmetic | 5 | 1 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((5 * sqrt(25)) - 2) / log(39, 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. $log(39, 3) = 3.3347175194727923$
... | ((5 * sqrt(25)) - 2) / log(39, 3) | 6.897135924015604 | mixed | 3 | 5 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: sqrt(16) / cot(225). This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $sqrt(16) = 4$
2. $cot(225) = 1.0000000000000004$
3. $4 / 1.000000... | sqrt(16) / cot(225) | 3.9999999999999982 | mixed | 1 | 3 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((44 * sec(60)) / 77) + cbrt(216). This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $sec(60) = 1.9999999999999996$
2. $cbrt(216) = 5.99999... | ((44 * sec(60)) / 77) + cbrt(216) | 7.1428571428571415 | mixed | 3 | 5 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((9 / sec(240)) - log(4, 2)) * 26. 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. $log(4, 2) = 2$
... | ((9 / sec(240)) - log(4, 2)) * 26 | -56.33333333333337 | mixed | 5 | 6 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: (log(5, 3) * sin(0)) + 6. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $log(5, 3) = 1.4649735207179269$
2. $sin(0) = 0$
3. $1.464973... | (log(5, 3) * sin(0)) + 6 | 6 | mixed | 1 | 4 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((log(3, 3) / 45) - 81) * 91. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $log(3, 3) = 1$
2. $log(34, 3) = 3.2098316767340234$
3. $... | ((log(3, 3) / 45) - 81) * 91 | -23653.1782962602 | log | 2 | 6 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: (sqrt(16) * 79) + 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. $sqrt(16) = 4$
3. $4 * 79 = 316$
4. $31... | (sqrt(16) * 79) + sqrt(16) | 320 | power | 2 | 4 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((19 / 60) + log(22, 3)) - sin(30). This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $log(22, 3) = 2.8135880922155954$
2. $sin(30) = 0.499... | ((19 / 60) + log(22, 3)) - sin(30) | 2.630254758882262 | mixed | 3 | 5 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: 64 / 62. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $64 / 62 = 1.032258064516129$
The answer is $1.032258064516129$
3. Drafting the ... | 64 / 62 | 1.032258064516129 | arithmetic | 2 | 1 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((11 + 66) - 33) / csc(45). 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. $11 + 66 = 77$
3. $77 - 33... | ((11 + 66) - 33) / csc(45) | 11.112698372208094 | trig | 2 | 5 |
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