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: ((85 - 51) + 36) + 59. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $3**2 = 9$
2. $85 - 51 = 34$
3. $34 + 36 = 70$
4. $70 + 59 = 1... | ((85 - 51) + 36) + 59 | 1161 | power | 2 | 5 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((68 / 13) / cos(45)) * 19. 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. $cos(180) = -1$
3. $68 / ... | ((68 / 13) / cos(45)) * 19 | -140.55107096815684 | trig | 3 | 6 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: (cbrt(64) / 48) + csc(60). This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $cbrt(64) = 3.9999999999999996$
2. $csc(60) = 1.15470053837925... | (cbrt(64) / 48) + csc(60) | 1.238033871712585 | mixed | 3 | 4 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((tan(60) + sqrt(16)) + 37) / cos(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. $sqrt(16) = 4$
... | ((tan(60) + sqrt(16)) + 37) / cos(60) | 85.46410161513774 | mixed | 5 | 6 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((tan(360) / tan(135)) + log(5, 2)) * csc(90). 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. $t... | ((tan(360) / tan(135)) + log(5, 2)) * csc(90) | 1.4217709046270603e-16 | mixed | 1 | 9 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((log(50, 10) + 20) - sqrt(64)) + sqrt(64). This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $log(50, 10) = 1.6989700043360185$
2. $sqrt(6... | ((log(50, 10) + 20) - sqrt(64)) + sqrt(64) | 5.698970004336019 | mixed | 3 | 7 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: sec(240) + cos(60). 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. $cos(60) = 0.5000000000000001$
... | sec(240) + cos(60) | -1.4999999999999982 | trig | 2 | 3 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((56 - 65) - 54) * 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. $56 - 65 = -9$
3. $-9 - 5... | ((56 - 65) - 54) * cos(45) | -44.5477272147525 | trig | 5 | 4 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: 27 + 73. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $27 + 73 = 100$
The answer is $100$
3. Drafting the response: "Ответ на ваш запр... | 27 + 73 | 100 | arithmetic | 4 | 1 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((20 + tan(45)) - 48) - 28. 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. $tan(225) = 0.9999999999999... | ((20 + tan(45)) - 48) - 28 | -55.00000000000002 | trig | 3 | 6 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((2**4 * 11) * 44) * sqrt(81). This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $2**4 = 16$
2. $sqrt(81) = 9$
3. $16 * 11 = 176$
4. $1... | ((2**4 * 11) * 44) * sqrt(81) | 69696 | power | 1 | 5 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: (55 - 35) - 57. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $55 - 35 = 20$
2. $20 - 57 = -37$
The answer is $-37$
3. Drafting the r... | (55 - 35) - 57 | -37 | arithmetic | 3 | 2 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((19 - 30) + 66) * 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. $19 - 30 = -11$
3. $-1... | ((19 - 30) + 66) * tan(315) | -0.7971014492753626 | trig | 3 | 5 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: (65 / 68) - 55. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $65 / 68 = 0.9558823529411765$
2. $0.9558823529411765 - 55 = -54.04411764... | (65 / 68) - 55 | -54.044117647058826 | arithmetic | 2 | 2 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((log(3, 2) + 4**3) / 12) * 10. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $log(3, 2) = 1.5849625007211563$
2. $4**3 = 64$
3. $cos... | ((log(3, 2) + 4**3) / 12) * 10 | 54.65413541726764 | mixed | 4 | 7 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: 85 + 77. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $85 + 77 = 162$
The answer is $162$
3. Drafting the response: "Ответ на ваш запр... | 85 + 77 | 162 | arithmetic | 2 | 1 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: log(21, 5) / 31. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $log(21, 5) = 1.8916681496081529$
2. $1.8916681496081529 / 31 = 0.061021... | log(21, 5) / 31 | 0.06102155321316622 | log | 2 | 2 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((59 * sqrt(16)) / 32) - log(48, 10). This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $sqrt(16) = 4$
2. $log(48, 10) = 1.6812412373755872... | ((59 * sqrt(16)) / 32) - log(48, 10) | 5.693758762624412 | mixed | 3 | 5 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: (89 - 69) * 73. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $89 - 69 = 20$
2. $20 * 73 = 1460$
The answer is $1460$
3. Drafting the... | (89 - 69) * 73 | 1460 | arithmetic | 5 | 2 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: sqrt(9) + 20. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $sqrt(9) = 3$
2. $3 + 20 = 23$
The answer is $23$
3. Drafting the respons... | sqrt(9) + 20 | 23 | power | 2 | 2 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((sin(360) / sqrt(49)) + tan(60)) - 36. 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. $sqrt(49)... | ((sin(360) / sqrt(49)) + tan(60)) - 36 | -34.267949192431125 | mixed | 1 | 6 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((log(11, 10) / 53) / 51) * 54. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $log(11, 10) = 1.041392685158225$
2. $1.041392685158225 /... | ((log(11, 10) / 53) / 51) * 54 | 0.0002213269928548427 | log | 3 | 5 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: 94 / 16. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $94 / 16 = 5.875$
The answer is $5.875$
3. Drafting the response: "Ответ на ваш ... | 94 / 16 | 5.875 | arithmetic | 2 | 1 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: (sec(360) - 78) + sec(30). This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $sec(360) = 1$
2. $sec(30) = 1.1547005383792515$
3. $1 - 78 ... | (sec(360) - 78) + sec(30) | -75.84529946162075 | trig | 1 | 4 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: sqrt(9) * cos(0). This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $sqrt(9) = 3$
2. $cos(0) = 1$
3. $3 * 1 = 3$
The answer is $3$
3. D... | sqrt(9) * cos(0) | 3 | mixed | 1 | 3 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((47 - 79) * 57) / log(27, 10). This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $log(27, 10) = 1.4313637641589871$
2. $47 - 79 = -32$
3... | ((47 - 79) * 57) / log(27, 10) | -1274.309190767946 | log | 5 | 4 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((18 * 77) - csc(60)) - 4. 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. $18 * 77 = 1386$
3. $1386 ... | ((18 * 77) - csc(60)) - 4 | 21.24377383787109 | trig | 3 | 5 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: (4 * sqrt(9)) + 24. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $sqrt(9) = 3$
2. $4 * 3 = 12$
3. $12 + 24 = 36$
The answer is $36... | (4 * sqrt(9)) + 24 | 36 | power | 4 | 3 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: (log(27, 3) * 35) - 49. 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. $3 * 35 = 105$
3. $105 - 49 = 56$
The ans... | (log(27, 3) * 35) - 49 | 56 | log | 2 | 3 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((cbrt(125) + 47) / 78) + sqrt(36). 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. $sqrt(36) = 6$
3... | ((cbrt(125) + 47) / 78) + sqrt(36) | -34.333333333333336 | power | 5 | 6 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: (15 / 59) + 80. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $15 / 59 = 0.2542372881355932$
2. $0.2542372881355932 + 80 = 80.254237288... | (15 / 59) + 80 | 80.2542372881356 | arithmetic | 4 | 2 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((3 - 48) / 40) * 85. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $3 - 48 = -45$
2. $-45 / 40 = -1.125$
3. $-1.125 * 85 = -95.625$
... | ((3 - 48) / 40) * 85 | -95.625 | arithmetic | 1 | 3 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((csc(60) - cot(270)) * 63) * 33. 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. $cot(270) = 1.8369701... | ((csc(60) - cot(270)) * 63) * 33 | 2400.6224192904638 | trig | 5 | 5 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: (73 - cos(0)) / 4. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $cos(0) = 1$
2. $73 - 1 = 72$
3. $72 / 4 = 18$
The answer is $18$
... | (73 - cos(0)) / 4 | 18 | trig | 3 | 3 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((21 - 25) + csc(30)) / log(12, 10). 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. $log(12, 10) = 1.0... | ((21 - 25) + csc(30)) / log(12, 10) | -0.026475097372260763 | mixed | 4 | 6 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: 73 * 64. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $73 * 64 = 4672$
The answer is $4672$
3. Drafting the response: "Ответ на ваш за... | 73 * 64 | 4672 | arithmetic | 3 | 1 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: 98 / 88. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $98 / 88 = 1.1136363636363635$
The answer is $1.1136363636363635$
3. Drafting th... | 98 / 88 | 1.1136363636363635 | arithmetic | 2 | 1 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: 20 - cbrt(27). This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $cbrt(27) = 3$
2. $20 - 3 = 17$
The answer is $17$
3. Drafting the respo... | 20 - cbrt(27) | 17 | power | 4 | 2 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((log(45, 2) - 12) + 97) - 49. 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) - 12) + 97) - 49 | 41.49185309632968 | log | 2 | 4 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((sqrt(100) * 46) + tan(180)) * 2**4. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $sqrt(100) = 10$
2. $tan(180) = -1.2246467991473532... | ((sqrt(100) * 46) + tan(180)) * 2**4 | 7452 | mixed | 3 | 7 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: (sin(0) / sqrt(81)) - 59. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $sin(0) = 0$
2. $sqrt(81) = 9$
3. $0 / 9 = 0$
4. $0 - 59 = ... | (sin(0) / sqrt(81)) - 59 | -59 | mixed | 1 | 4 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: 88 * 98. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $88 * 98 = 8624$
The answer is $8624$
3. Drafting the response: "Ответ на ваш за... | 88 * 98 | 8624 | arithmetic | 2 | 1 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: 70 - 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. $70 - 0 = 70$
The answer is $70$
3. Drafting the response:... | 70 - sin(0) | 70 | trig | 4 | 2 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: csc(60) / 39. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $csc(60) = 1.1547005383792517$
2. $1.1547005383792517 / 39 = 0.029607706112... | csc(60) / 39 | 0.029607706112288506 | trig | 3 | 2 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: (25 / 52) * 73. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $25 / 52 = 0.4807692307692308$
2. $0.4807692307692308 * 73 = 35.096153846... | (25 / 52) * 73 | 35.09615384615385 | arithmetic | 2 | 2 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: 10 + 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. $10 + 4 = 14$
The answer is $14$
3. Drafting the respo... | 10 + sqrt(16) | 14 | power | 1 | 2 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: (log(5, 5) / 5**3) - 89. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $log(5, 5) = 1$
2. $5**3 = 125$
3. $1 / 125 = 0.008$
4. $0.0... | (log(5, 5) / 5**3) - 89 | -88.992 | mixed | 1 | 4 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((sqrt(49) + 37) / sin(45)) * sqrt(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. $sin(45) = 0.7071067811865476$
... | ((sqrt(49) + 37) / sin(45)) * sqrt(25) | 311.1269837220809 | mixed | 5 | 6 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((72 * tan(180)) / 15) * sec(120). 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. $sec(120) = -2... | ((72 * tan(180)) / 15) * sec(120) | -1.1756609271814596e-15 | trig | 4 | 7 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: tan(30) - cos(90). 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. $cos(90) = 6.123233995736766e-17$
... | tan(30) - cos(90) | 0.5773502691896256 | trig | 4 | 3 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: (30 + 66) - cot(60). 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. $30 + 66 = 96$
3. $96 - 0.5773502... | (30 + 66) - cot(60) | 95.42264973081038 | trig | 3 | 3 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((cot(270) * 99) * log(44, 3)) + cbrt(125). This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $cot(270) = 1.83697019872103e-16$
2. $log(44,... | ((cot(270) * 99) * log(44, 3)) + cbrt(125) | 5.000000000000062 | mixed | 1 | 6 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((sqrt(100) + sin(270)) / sin(270)) / 24. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $sqrt(100) = 10$
2. $sin(270) = -1$
3. $sin(2... | ((sqrt(100) + sin(270)) / sin(270)) / 24 | -33.75 | mixed | 1 | 7 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((log(4, 10) * 84) - 51) - 92. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $log(4, 10) = 0.6020599913279623$
2. $0.6020599913279623 *... | ((log(4, 10) * 84) - 51) - 92 | -92.42696072845118 | log | 3 | 4 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((5 * cot(135)) - 74) * 70. 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. $5 * -0.9999999999999998 ... | ((5 * cot(135)) - 74) * 70 | -5530 | trig | 2 | 4 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: (81 - 59) + 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. $81 - 59 = 22$
3. $22 + -1.00... | (81 - 59) + tan(315) | 21 | trig | 1 | 3 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: (cos(60) / 54) - cos(90). 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(90) = 6.123233995736766e... | (cos(60) / 54) - cos(90) | 0.0092592592592592 | trig | 4 | 4 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((log(33, 3) / 73) / csc(60)) + sec(240). This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $log(33, 3) = 3.1826583386441376$
2. $csc(60) =... | ((log(33, 3) / 73) / csc(60)) + sec(240) | -19.9622429729749 | mixed | 4 | 7 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((22 - 76) / sqrt(36)) / 43. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $sqrt(36) = 6$
2. $22 - 76 = -54$
3. $-54 / 6 = -9$
4. $... | ((22 - 76) / sqrt(36)) / 43 | -78.20930232558139 | power | 2 | 5 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((30 + 2) / 69) - 84. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $30 + 2 = 32$
2. $32 / 69 = 0.463768115942029$
3. $0.463768115942... | ((30 + 2) / 69) - 84 | -83.53623188405797 | arithmetic | 5 | 3 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: (cos(0) - tan(45)) * 43. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $cos(0) = 1$
2. $tan(45) = 0.9999999999999999$
3. $1 - 0.99999... | (cos(0) - tan(45)) * 43 | 4.773959005888173e-15 | trig | 1 | 4 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: log(15, 2) / 9. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $log(15, 2) = 3.9068905956085187$
2. $3.9068905956085187 / 9 = 0.43409895... | log(15, 2) / 9 | 0.4340989550676132 | log | 4 | 2 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: 58 / 97. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $58 / 97 = 0.5979381443298969$
The answer is $0.5979381443298969$
3. Drafting th... | 58 / 97 | 0.5979381443298969 | arithmetic | 2 | 1 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((31 * 20) - 33) / cbrt(64). 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. $31 * 20 = 620$
3. $620... | ((31 * 20) - 33) / cbrt(64) | 1.7264705882352944 | power | 3 | 5 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((cos(180) - sin(90)) - 3**2) + 15. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $cos(180) = -1$
2. $sin(90) = 1$
3. $3**2 = 9$
4.... | ((cos(180) - sin(90)) - 3**2) + 15 | 5 | mixed | 1 | 8 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: 49 * 1. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $49 * 1 = 49$
The answer is $49$
3. Drafting the response: "Ответ на ваш запрос в... | 49 * 1 | 49 | arithmetic | 5 | 1 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: (60 * 39) * 84. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $60 * 39 = 2340$
2. $2340 * 84 = 196560$
The answer is $196560$
3. Draf... | (60 * 39) * 84 | 196560 | arithmetic | 2 | 2 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: 98 - 56. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $98 - 56 = 42$
The answer is $42$
3. Drafting the response: "Ответ на ваш запрос... | 98 - 56 | 42 | arithmetic | 4 | 1 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: 68 - 69. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $68 - 69 = -1$
The answer is $-1$
3. Drafting the response: "Ответ на ваш запрос... | 68 - 69 | -1 | arithmetic | 3 | 1 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: (84 * 83) * 51. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $84 * 83 = 6972$
2. $6972 * 51 = 355572$
The answer is $355572$
3. Draf... | (84 * 83) * 51 | 355572 | arithmetic | 2 | 2 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: (sqrt(25) - 90) - 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. $5 - 90 = -85$
3. $-85 - 3 = -88$
The answer i... | (sqrt(25) - 90) - 3 | -88 | power | 5 | 3 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: (sqrt(36) - cbrt(27)) - cos(30). This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $sqrt(36) = 6$
2. $cbrt(27) = 3$
3. $cos(30) = 0.86602... | (sqrt(36) - cbrt(27)) - cos(30) | 2.133974596215561 | mixed | 2 | 5 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: (52 - log(9, 10)) / 1. 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. $52 - 0.9542425094393249 = 51... | (52 - log(9, 10)) / 1 | 51.045757490560675 | log | 1 | 3 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((csc(60) - 60) - cot(315)) / 87. 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. $cot(315) = -0.999999... | ((csc(60) - 60) - cot(315)) / 87 | 97.33511150044114 | trig | 5 | 6 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((4 * 35) * tan(225)) / 49. 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. $4 * 35 = 140$
3. $140 *... | ((4 * 35) * tan(225)) / 49 | 52.857142857142854 | trig | 1 | 5 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((53 + 82) + csc(30)) / 33. 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. $53 + 82 = 135$
3. $135 +... | ((53 + 82) + csc(30)) / 33 | 4.151515151515151 | trig | 3 | 4 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((sqrt(64) * 88) / 89) + 70. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $sqrt(64) = 8$
2. $8 * 88 = 704$
3. $704 / 89 = 7.91011235... | ((sqrt(64) * 88) / 89) + 70 | 77.91011235955057 | power | 5 | 4 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: (70 - 38) - 100. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $70 - 38 = 32$
2. $32 - 100 = -68$
The answer is $-68$
3. Drafting the... | (70 - 38) - 100 | -68 | arithmetic | 4 | 2 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((tan(180) - 19) + 76) * 26. 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. $tan(45) = 0.9999999... | ((tan(180) - 19) + 76) * 26 | 1482.0000000000002 | trig | 4 | 6 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: sqrt(49) - 36. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $sqrt(49) = 7$
2. $7 - 36 = -29$
The answer is $-29$
3. Drafting the res... | sqrt(49) - 36 | -29 | power | 3 | 2 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((sqrt(81) * 46) + sqrt(49)) + 1. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $sqrt(81) = 9$
2. $sqrt(49) = 7$
3. $9 * 46 = 414$
... | ((sqrt(81) * 46) + sqrt(49)) + 1 | 422 | power | 1 | 5 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((26 * 40) / 71) + 38. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $26 * 40 = 1040$
2. $1040 / 71 = 14.647887323943662$
3. $14.6478... | ((26 * 40) / 71) + 38 | 52.647887323943664 | arithmetic | 4 | 3 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((2**4 * sqrt(64)) / 35) / csc(30). This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $2**4 = 16$
2. $sqrt(64) = 8$
3. $csc(30) = 2.00000... | ((2**4 * sqrt(64)) / 35) / csc(30) | 1.828571428571428 | mixed | 2 | 6 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: (csc(45) * log(21, 10)) - csc(90). 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. $log(21, 10) = 1.3222... | (csc(45) * log(21, 10)) - csc(90) | 0.8699004590440969 | mixed | 1 | 5 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((24 * sqrt(49)) / 38) - 11. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $sqrt(49) = 7$
2. $24 * 7 = 168$
3. $168 / 38 = 4.42105263... | ((24 * sqrt(49)) / 38) - 11 | -0.14952153110047847 | power | 5 | 5 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: 81 * 83. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $81 * 83 = 6723$
The answer is $6723$
3. Drafting the response: "Ответ на ваш за... | 81 * 83 | 6723 | arithmetic | 3 | 1 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((68 / csc(210)) * cos(270)) + 2**2. 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. $cos(270) = -1.8... | ((68 / csc(210)) * cos(270)) + 2**2 | 69 | mixed | 4 | 7 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: (6 + 24) + 39. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $6 + 24 = 30$
2. $30 + 39 = 69$
The answer is $69$
3. Drafting the respo... | (6 + 24) + 39 | 69 | arithmetic | 2 | 2 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: 4 - cot(315). This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $cot(315) = -0.9999999999999996$
2. $4 - -0.9999999999999996 = 5$
The ans... | 4 - cot(315) | 5 | trig | 3 | 2 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: 6 + 37. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $6 + 37 = 43$
The answer is $43$
3. Drafting the response: "Ответ на ваш запрос в... | 6 + 37 | 43 | arithmetic | 5 | 1 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((62 - sin(45)) - 4) + 5**2. 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. $5**2 = 25$
3. $tan(135)... | ((62 - sin(45)) - 4) + 5**2 | -82.29289321881343 | mixed | 3 | 7 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((17 - 76) / 52) * log(43, 10). This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $log(43, 10) = 1.6334684555795864$
2. $sqrt(64) = 8$
3.... | ((17 - 76) / 52) * log(43, 10) | 6.146641560015469 | mixed | 4 | 6 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((87 / 80) + 90) - 43. 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. $87 / 80 = 1.0875$
3. $1.0875 ... | ((87 / 80) + 90) - 43 | 48.79460678118655 | trig | 4 | 5 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: (58 / 33) * csc(210). This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $csc(210) = -1.9999999999999996$
2. $58 / 33 = 1.7575757575757576$
... | (58 / 33) * csc(210) | -3.5151515151515142 | trig | 3 | 3 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((cbrt(64) / 6**4) * 62) * sin(60). This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $cbrt(64) = 3.9999999999999996$
2. $6**4 = 1296$
3.... | ((cbrt(64) / 6**4) * 62) * sin(60) | 16.572091060072587 | mixed | 2 | 7 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((66 * log(25, 3)) + 62) * 42. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $log(25, 3) = 2.9299470414358537$
2. $66 * 2.9299470414358... | ((66 * log(25, 3)) + 62) * 42 | 10725.813198860187 | log | 2 | 4 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((sin(60) + 83) * 2**4) * 89. 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. $2**4 = 16$
3. $csc(150... | ((sin(60) + 83) * 2**4) * 89 | 59712.610087494504 | mixed | 2 | 7 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: 12 - cot(225). 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. $12 - 1.0000000000000004 = 11$
The an... | 12 - cot(225) | 11 | trig | 2 | 2 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((68 - 31) / sec(60)) * 19. 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. $68 - 31 = 37$
3. $37 / 1... | ((68 - 31) / sec(60)) * 19 | 351.50000000000006 | trig | 4 | 4 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: (7 + 26) * 78. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $7 + 26 = 33$
2. $33 * 78 = 2574$
The answer is $2574$
3. Drafting the r... | (7 + 26) * 78 | 2574 | arithmetic | 2 | 2 |
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