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: 73 + 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. $73 + 5.999999999999999 = 79$
The an... | 73 + cbrt(216) | 79 | power | 4 | 2 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: (csc(270) / tan(135)) - 8. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $csc(270) = -1$
2. $tan(135) = -1.0000000000000002$
3. $-1 /... | (csc(270) / tan(135)) - 8 | -7 | trig | 2 | 4 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((55 / sqrt(49)) * 83) + sin(45). This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $sqrt(49) = 7$
2. $sin(45) = 0.7071067811865476$
3. $... | ((55 / sqrt(49)) * 83) + sin(45) | 17626.94902594918 | mixed | 2 | 6 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((csc(30) - 2**3) + 33) + cot(45). This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $csc(30) = 2.0000000000000004$
2. $2**3 = 8$
3. $cot... | ((csc(30) - 2**3) + 33) + cot(45) | 28 | mixed | 1 | 6 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((26 * 43) - sec(180)) / 68. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $sec(180) = -1$
2. $26 * 43 = 1118$
3. $1118 - -1 = 1119$
... | ((26 * 43) - sec(180)) / 68 | 16.455882352941178 | trig | 1 | 4 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((75 - sqrt(81)) + 43) / log(43, 5). This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $sqrt(81) = 9$
2. $log(43, 5) = 2.336965027750064$
... | ((75 - sqrt(81)) + 43) / log(43, 5) | 32.98065577966224 | mixed | 5 | 7 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: cbrt(216) * 77. 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 * 77 = 461.99999999... | cbrt(216) * 77 | 461.99999999999994 | power | 4 | 2 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: sec(180) / 57. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $sec(180) = -1$
2. $-1 / 57 = -0.017543859649122806$
The answer is $-0.0... | sec(180) / 57 | -0.017543859649122806 | trig | 3 | 2 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: (59 + csc(60)) * tan(315). 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. $tan(315) = -1.0000000000000... | (59 + csc(60)) * tan(315) | -60.15470053837928 | trig | 2 | 4 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((39 + 96) - 69) * cbrt(125). This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $cbrt(125) = 4.999999999999999$
2. $39 + 96 = 135$
3. $13... | ((39 + 96) - 69) * cbrt(125) | 29.999999999999996 | power | 3 | 5 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((sin(180) + 57) * cbrt(8)) * cbrt(125). 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. $cbrt(8) ... | ((sin(180) + 57) * cbrt(8)) * cbrt(125) | 569.9999999999999 | mixed | 2 | 6 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((50 + 45) + 15) * 10. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $50 + 45 = 95$
2. $95 + 15 = 110$
3. $110 * 10 = 1100$
4. $110... | ((50 + 45) + 15) * 10 | 1134 | arithmetic | 3 | 4 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((8 * 6**3) * sqrt(9)) + log(14, 2). This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $6**3 = 216$
2. $sqrt(9) = 3$
3. $log(14, 2) = 3.8... | ((8 * 6**3) * sqrt(9)) + log(14, 2) | 5187.807354922058 | mixed | 2 | 6 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: (31 + 2**3) / 93. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $2**3 = 8$
2. $31 + 8 = 39$
3. $39 / 93 = 0.41935483870967744$
The ... | (31 + 2**3) / 93 | 0.41935483870967744 | power | 1 | 3 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: 19 / log(13, 2). 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. $19 / 3.700439718141092 = 5.13452493... | 19 / log(13, 2) | 5.134524934119075 | log | 3 | 2 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: (27 * 1) * 85. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $27 * 1 = 27$
2. $27 * 85 = 2295$
The answer is $2295$
3. Drafting the r... | (27 * 1) * 85 | 2295 | arithmetic | 2 | 2 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((99 + log(2, 10)) / sin(60)) * 80. 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(60) = 0.86... | ((99 + log(2, 10)) / sin(60)) * 80 | 9173.036223808593 | mixed | 2 | 5 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((30 * sqrt(9)) + tan(60)) - sqrt(4). This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $sqrt(9) = 3$
2. $tan(60) = 1.7320508075688767$
3... | ((30 * sqrt(9)) + tan(60)) - sqrt(4) | 89.73205080756888 | mixed | 5 | 6 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: (sin(270) / 14) / 11. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $sin(270) = -1$
2. $-1 / 14 = -0.07142857142857142$
3. $-0.071428... | (sin(270) / 14) / 11 | -0.006493506493506493 | trig | 5 | 3 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((log(12, 2) + 2) / 100) / 18. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $log(12, 2) = 3.5849625007211565$
2. $3.5849625007211565 +... | ((log(12, 2) + 2) / 100) / 18 | 0.0031027569448450866 | log | 3 | 4 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((sqrt(16) - sqrt(64)) - cos(30)) + 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. $sqrt(64) = 8$
3. $cos(... | ((sqrt(16) - sqrt(64)) - cos(30)) + cot(225) | -3.866025403784438 | mixed | 5 | 7 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: sec(180) * 6**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. $6**4 = 1296$
3. $-1 * 1296 = -1296$
The answer i... | sec(180) * 6**4 | -1296 | mixed | 2 | 3 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: 94 / 21. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $94 / 21 = 4.476190476190476$
The answer is $4.476190476190476$
3. Drafting the ... | 94 / 21 | 4.476190476190476 | arithmetic | 3 | 1 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((57 * 45) - cot(45)) + log(25, 5). 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. $log(25, 5) = 2$
... | ((57 * 45) - cot(45)) + log(25, 5) | 2504 | mixed | 3 | 6 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: (31 - 91) + sqrt(4). This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $sqrt(4) = 2$
2. $31 - 91 = -60$
3. $-60 + 2 = -58$
The answer i... | (31 - 91) + sqrt(4) | -58 | power | 5 | 3 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: (47 / 40) / 37. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $47 / 40 = 1.175$
2. $1.175 / 37 = 0.03175675675675676$
The answer is $... | (47 / 40) / 37 | 0.03175675675675676 | arithmetic | 1 | 2 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: (19 * sqrt(81)) * 61. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $sqrt(81) = 9$
2. $19 * 9 = 171$
3. $171 * 61 = 10431$
The answ... | (19 * sqrt(81)) * 61 | 10431 | power | 5 | 3 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((64 + 52) - 35) + 69. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $64 + 52 = 116$
2. $116 - 35 = 81$
3. $81 + 69 = 150$
The answ... | ((64 + 52) - 35) + 69 | 150 | arithmetic | 4 | 3 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((78 * 51) * cot(60)) + tan(30). This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $cot(60) = 0.577350269189626$
2. $tan(30) = 0.5773502691... | ((78 * 51) * cot(60)) + tan(30) | 2297.2767211055216 | trig | 5 | 5 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: (sqrt(4) * cos(60)) / 78. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $sqrt(4) = 2$
2. $cos(60) = 0.5000000000000001$
3. $2 * 0.500... | (sqrt(4) * cos(60)) / 78 | 0.012820512820512824 | mixed | 4 | 4 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: 60 + 40. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $60 + 40 = 100$
The answer is $100$
3. Drafting the response: "Ответ на ваш запр... | 60 + 40 | 100 | arithmetic | 4 | 1 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((98 * cot(45)) - 86) - tan(225). 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. $tan(225) = 0.9999999... | ((98 * cot(45)) - 86) - tan(225) | -28.99999999999997 | trig | 4 | 6 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: (log(26, 10) / 14) + csc(60). This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $log(26, 10) = 1.414973347970818$
2. $csc(60) = 1.154700538... | (log(26, 10) / 14) + csc(60) | 1.25577006323431 | mixed | 4 | 4 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: (72 * sin(360)) - 84. 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. $72 * -2.4492935982947064e-... | (72 * sin(360)) - 84 | -84.00000000000001 | trig | 5 | 3 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: 78 * 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. $78 * 1.414213562373095 = 110.308657865101... | 78 * csc(45) | 110.30865786510141 | trig | 3 | 2 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((cos(60) * 73) + 77) - 83. 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. $0.5000000000000001 * 73 = ... | ((cos(60) * 73) + 77) - 83 | 30.5 | trig | 1 | 4 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: sqrt(16) - sqrt(25). This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $sqrt(16) = 4$
2. $sqrt(25) = 5$
3. $4 - 5 = -1$
The answer is $... | sqrt(16) - sqrt(25) | -1 | power | 2 | 3 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((40 - 22) + 56) - 45. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $40 - 22 = 18$
2. $18 + 56 = 74$
3. $74 - 45 = 29$
The answer ... | ((40 - 22) + 56) - 45 | 29 | arithmetic | 2 | 3 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: 100 * cbrt(125). This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $cbrt(125) = 4.999999999999999$
2. $100 * 4.999999999999999 = 499.999999... | 100 * cbrt(125) | 499.9999999999999 | power | 3 | 2 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: 19 / 5**2. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $5**2 = 25$
2. $19 / 25 = 0.76$
The answer is $0.76$
3. Drafting the respons... | 19 / 5**2 | 0.76 | power | 5 | 2 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((75 - 6**3) + 20) + log(19, 10). This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $6**3 = 216$
2. $log(19, 10) = 1.2787536009528289$
3.... | ((75 - 6**3) + 20) + log(19, 10) | -143.72124639904717 | mixed | 2 | 6 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((24 - 20) / 18) - 19. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $24 - 20 = 4$
2. $4 / 18 = 0.2222222222222222$
3. $0.22222222222... | ((24 - 20) / 18) - 19 | -676 | arithmetic | 1 | 4 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: 61 + 50. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $61 + 50 = 111$
The answer is $111$
3. Drafting the response: "Ответ на ваш запр... | 61 + 50 | 111 | arithmetic | 4 | 1 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((69 + sqrt(16)) + sec(0)) - sqrt(64). This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $sqrt(16) = 4$
2. $sec(0) = 1$
3. $sqrt(64) = 8$... | ((69 + sqrt(16)) + sec(0)) - sqrt(64) | 90 | mixed | 1 | 7 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((sqrt(36) * sqrt(64)) + sqrt(36)) * csc(270). This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $sqrt(36) = 6$
2. $sqrt(64) = 8$
3. $sqr... | ((sqrt(36) * sqrt(64)) + sqrt(36)) * csc(270) | -74 | mixed | 5 | 8 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: (61 / 14) + 99. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $61 / 14 = 4.357142857142857$
2. $4.357142857142857 + 99 = 103.3571428571... | (61 / 14) + 99 | 103.35714285714286 | arithmetic | 3 | 2 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: sec(60) + 17. 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. $1.9999999999999996 + 17 = 19$
The answ... | sec(60) + 17 | 19 | trig | 2 | 2 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: cos(0) / sqrt(16). This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $cos(0) = 1$
2. $sqrt(16) = 4$
3. $1 / 4 = 0.25$
The answer is $0.... | cos(0) / sqrt(16) | 0.25 | mixed | 4 | 3 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((26 - log(9, 3)) + 83) * 89. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $log(9, 3) = 2$
2. $csc(90) = 1$
3. $26 - 2 = 24$
4. $2... | ((26 - log(9, 3)) + 83) * 89 | 9523 | mixed | 1 | 6 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((sin(30) + 55) / tan(60)) * 20. 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. $tan(60) = 1.73205080... | ((sin(30) + 55) / tan(60)) * 20 | 719.8587988004848 | trig | 5 | 6 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: cbrt(64) - cos(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. $cos(45) = 0.7071067811865476$
3... | cbrt(64) - cos(45) | 3.292893218813452 | mixed | 5 | 3 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((sec(360) / cos(60)) + cbrt(125)) + 38. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $sec(360) = 1$
2. $cos(60) = 0.5000000000000001$... | ((sec(360) / cos(60)) + cbrt(125)) + 38 | 45 | mixed | 3 | 6 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((sin(45) - 49) * 68) * 56. 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 - 49 = ... | ((sin(45) - 49) * 68) * 56 | -14344148.315424848 | trig | 4 | 5 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((65 - sqrt(36)) + log(8, 2)) + 52. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $sqrt(36) = 6$
2. $log(8, 2) = 3$
3. $65 - 6 = 59$
... | ((65 - sqrt(36)) + log(8, 2)) + 52 | 114 | mixed | 5 | 5 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((sqrt(49) + 72) - sin(270)) - 25. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $sqrt(49) = 7$
2. $sin(270) = -1$
3. $7 + 72 = 79$
... | ((sqrt(49) + 72) - sin(270)) - 25 | 55 | mixed | 1 | 5 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: log(24, 3) / 51. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $log(24, 3) = 2.8927892607143724$
2. $2.8927892607143724 / 51 = 0.056721... | log(24, 3) / 51 | 0.05672135805322299 | log | 2 | 2 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((43 - sin(360)) + sin(360)) / 39. 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. $sin(360) = -2... | ((43 - sin(360)) + sin(360)) / 39 | 39.69230769230769 | trig | 5 | 6 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((9 - sqrt(100)) - 64) + 61. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $sqrt(100) = 10$
2. $9 - 10 = -1$
3. $-1 - 64 = -65$
4. ... | ((9 - sqrt(100)) - 64) + 61 | -0.21052631578947367 | power | 1 | 5 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((67 + 78) + 34) * 17. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $67 + 78 = 145$
2. $145 + 34 = 179$
3. $179 * 17 = 3043$
The a... | ((67 + 78) + 34) * 17 | 3043 | arithmetic | 4 | 3 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((61 / 7) / 51) / 75. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $61 / 7 = 8.714285714285714$
2. $8.714285714285714 / 51 = 0.1708683... | ((61 / 7) / 51) / 75 | -82.99772175536881 | arithmetic | 3 | 4 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((7 - cos(30)) / 9) * tan(225). 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. $tan(225) = 0.999999999... | ((7 - cos(30)) / 9) * tan(225) | -0.31844726708716053 | trig | 1 | 7 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((sqrt(100) + 100) * 37) / 43. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $sqrt(100) = 10$
2. $sec(240) = -1.9999999999999982$
3. ... | ((sqrt(100) + 100) * 37) / 43 | 92.65116279069767 | mixed | 1 | 6 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((csc(210) * 72) * sqrt(100)) + tan(360). This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $csc(210) = -1.9999999999999996$
2. $sqrt(100) ... | ((csc(210) * 72) * sqrt(100)) + tan(360) | -1390.9999999999998 | mixed | 3 | 7 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: (76 + 45) - 49. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $76 + 45 = 121$
2. $121 - 49 = 72$
The answer is $72$
3. Drafting the r... | (76 + 45) - 49 | 72 | arithmetic | 3 | 2 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: cos(270) * 11. 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. $-1.8369701987210297e-16 * 11 = -2... | cos(270) * 11 | -2.0206672185931327e-15 | trig | 1 | 2 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: (tan(180) / 78) * 88. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $tan(180) = -1.2246467991473532e-16$
2. $-1.2246467991473532e-16 / ... | (tan(180) / 78) * 88 | -1.3816527990380396e-16 | trig | 3 | 3 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((sec(180) / 24) * 16) - cot(270). This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $sec(180) = -1$
2. $cot(270) = 1.83697019872103e-16$
... | ((sec(180) / 24) * 16) - cot(270) | -0.6666666666666669 | trig | 4 | 5 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((66 / 38) + csc(150)) * 16. 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. $66 / 38 = 1.736842105263... | ((66 / 38) + csc(150)) * 16 | 4364.631578947369 | trig | 5 | 5 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: sin(30) - 50. 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. $0.49999999999999994 - 50 = -49.5$
The... | sin(30) - 50 | -49.5 | trig | 5 | 2 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((cot(135) / 26) / log(29, 2)) - csc(270). 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. $log(29, 2... | ((cot(135) / 26) / log(29, 2)) - csc(270) | 0.9920828141361372 | mixed | 4 | 6 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: (52 * 6) + 2. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $52 * 6 = 312$
2. $312 + 2 = 314$
The answer is $314$
3. Drafting the res... | (52 * 6) + 2 | 314 | arithmetic | 2 | 2 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((tan(135) * 40) * 60) / sqrt(100). 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. $sqrt(100) = 10$
... | ((tan(135) * 40) * 60) / sqrt(100) | -240.00000000000006 | mixed | 1 | 5 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: (sin(270) * sin(30)) - 9. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $sin(270) = -1$
2. $sin(30) = 0.49999999999999994$
3. $-1 * 0... | (sin(270) * sin(30)) - 9 | -9.5 | trig | 3 | 4 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: (30 * cbrt(27)) / 20. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $cbrt(27) = 3$
2. $30 * 3 = 90$
3. $90 / 20 = 4.5$
The answer i... | (30 * cbrt(27)) / 20 | 4.5 | power | 3 | 3 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((cbrt(27) * 24) * 37) / sin(270). This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $cbrt(27) = 3$
2. $sin(270) = -1$
3. $3 * 24 = 72$
... | ((cbrt(27) * 24) * 37) / sin(270) | -2664 | mixed | 5 | 5 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((68 - 93) - 63) - cos(0). This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $cos(0) = 1$
2. $68 - 93 = -25$
3. $-25 - 63 = -88$
4. $-8... | ((68 - 93) - 63) - cos(0) | -89 | trig | 1 | 4 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: 33 + log(35, 3). This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $log(35, 3) = 3.236217269879349$
2. $33 + 3.236217269879349 = 36.2362172... | 33 + log(35, 3) | 36.23621726987935 | log | 4 | 2 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((sin(360) + log(5, 2)) + 61) - 46. 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. $log(5, 2) = ... | ((sin(360) + log(5, 2)) + 61) - 46 | 18.32192809488736 | mixed | 3 | 7 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: 62 + 68. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $62 + 68 = 130$
The answer is $130$
3. Drafting the response: "Ответ на ваш запр... | 62 + 68 | 130 | arithmetic | 1 | 1 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((2**4 + 40) / 62) - 31. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $2**4 = 16$
2. $16 + 40 = 56$
3. $56 / 62 = 0.9032258064516129... | ((2**4 + 40) / 62) - 31 | -30.096774193548388 | power | 5 | 4 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: log(17, 10) / 43. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $log(17, 10) = 1.2304489213782739$
2. $1.2304489213782739 / 43 = 0.0286... | log(17, 10) / 43 | 0.028615091194843578 | log | 3 | 2 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: (99 / 80) * 42. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $99 / 80 = 1.2375$
2. $1.2375 * 42 = 51.975$
The answer is $51.975$
3. ... | (99 / 80) * 42 | 51.975 | arithmetic | 4 | 2 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((96 / 11) + 95) + 72. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $sin(270) = -1$
2. $96 / 11 = 8.727272727272727$
3. $8.727272727... | ((96 / 11) + 95) + 72 | 174.72727272727272 | trig | 3 | 5 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((40 - cbrt(125)) - 75) * 16. 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. $40 - 4.999999999999999 ... | ((40 - cbrt(125)) - 75) * 16 | -640 | power | 2 | 4 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: 63 / 30. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $63 / 30 = 2.1$
The answer is $2.1$
3. Drafting the response: "Ответ на ваш запр... | 63 / 30 | 2.1 | arithmetic | 3 | 1 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((cbrt(125) + cos(60)) + 16) + 77. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $cbrt(125) = 4.999999999999999$
2. $cos(60) = 0.500000... | ((cbrt(125) + cos(60)) + 16) + 77 | 98.5 | mixed | 2 | 5 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: sin(30) - 78. 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. $0.49999999999999994 - 78 = -77.5$
The... | sin(30) - 78 | -77.5 | trig | 3 | 2 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: 78 + log(6, 3). This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $log(6, 3) = 1.6309297535714573$
2. $78 + 1.6309297535714573 = 79.6309297... | 78 + log(6, 3) | 79.63092975357145 | log | 3 | 2 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((cbrt(216) * log(22, 2)) - 93) / 5. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $cbrt(216) = 5.999999999999999$
2. $log(22, 2) = 4.4... | ((cbrt(216) * log(22, 2)) - 93) / 5 | -0.23658360817205795 | mixed | 1 | 6 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((3 * 74) + 93) - tan(0). This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $tan(0) = 0$
2. $sin(30) = 0.49999999999999994$
3. $3 * 74 = ... | ((3 * 74) + 93) - tan(0) | 630.0000000000001 | trig | 1 | 6 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: 42 - log(34, 5). 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. $42 - 2.1910509857959815 = 39.80894... | 42 - log(34, 5) | 39.80894901420402 | log | 3 | 2 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((cos(45) / 25) - 61) - cos(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. $cos(60) = 0.500000000... | ((cos(45) / 25) - 61) - cos(60) | -61.471715728752535 | trig | 5 | 7 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((sec(180) - cbrt(125)) * 68) + cos(0). This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $sec(180) = -1$
2. $cbrt(125) = 4.999999999999999... | ((sec(180) - cbrt(125)) * 68) + cos(0) | -406.99999999999994 | mixed | 1 | 6 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((24 / sqrt(36)) * cos(180)) / cos(60). This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $sqrt(36) = 6$
2. $cos(180) = -1$
3. $cos(60) =... | ((24 / sqrt(36)) * cos(180)) / cos(60) | -0.06399999999999999 | mixed | 5 | 8 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: (log(29, 3) * cos(180)) + 49. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $log(29, 3) = 3.0650447521106625$
2. $cos(180) = -1$
3. $... | (log(29, 3) * cos(180)) + 49 | 45.934955247889334 | mixed | 4 | 4 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((47 - cos(60)) / 45) * 96. 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. $47 - 0.5000000000000001 = ... | ((47 - cos(60)) / 45) * 96 | 35.20000000000002 | trig | 1 | 5 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: sin(180) + 56. 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. $1.2246467991473532e-16 + 56 = 56$
... | sin(180) + 56 | 56 | trig | 5 | 2 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((tan(225) - 64) - 16) * 51. 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. $0.9999999999999997 - 64 ... | ((tan(225) - 64) - 16) * 51 | -4029 | trig | 4 | 4 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((8 * 16) * tan(360)) / 22. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $tan(360) = -2.4492935982947064e-16$
2. $sqrt(4) = 2$
3. $8... | ((8 * 16) * tan(360)) / 22 | -2.8500870961974765e-15 | mixed | 3 | 6 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: (tan(225) + sec(240)) / 78. 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. $sec(240) = -1.99999999999... | (tan(225) + sec(240)) / 78 | -0.012820512820512803 | trig | 5 | 4 |
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