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: (25 + csc(270)) * 70. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $csc(270) = -1$
2. $25 + -1 = 24$
3. $24 * 70 = 1680$
The answe... | (25 + csc(270)) * 70 | 1680 | trig | 2 | 3 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((49 * tan(60)) + 32) + cos(30). 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. $cos(30) = 0.866025403... | ((49 * tan(60)) + 32) + cos(30) | 155.7365149746594 | trig | 3 | 6 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((csc(90) / 51) + 15) + tan(360). This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $csc(90) = 1$
2. $tan(360) = -2.4492935982947064e-16$
... | ((csc(90) / 51) + 15) + tan(360) | 15.019607843137255 | trig | 2 | 5 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: (cbrt(8) * 21) - log(33, 3). This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $cbrt(8) = 2$
2. $log(33, 3) = 3.1826583386441376$
3. $2 *... | (cbrt(8) * 21) - log(33, 3) | 38.81734166135586 | mixed | 2 | 4 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((24 - 7) - sin(180)) - 19. 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. $24 - 7 = 17$
3. $17... | ((24 - 7) - sin(180)) - 19 | -2 | trig | 3 | 4 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((sin(270) + cbrt(216)) + 99) * 99. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $sin(270) = -1$
2. $cbrt(216) = 5.999999999999999$
... | ((sin(270) + cbrt(216)) + 99) * 99 | 10296 | mixed | 3 | 5 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: cot(225) - tan(45). 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. $tan(45) = 0.9999999999999999$
3... | cot(225) - tan(45) | 5.551115123125783e-16 | trig | 4 | 3 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((log(10, 10) + sqrt(16)) / 66) / log(25, 3). This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $log(10, 10) = 1$
2. $sqrt(16) = 4$
3. $l... | ((log(10, 10) + sqrt(16)) / 66) / log(25, 3) | 0.02585629524568127 | mixed | 5 | 6 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((32 + sqrt(25)) / 91) - cot(90). This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $sqrt(25) = 5$
2. $cot(90) = 6.123233995736766e-17$
3... | ((32 + sqrt(25)) / 91) - cot(90) | 1.2197802197802197 | mixed | 1 | 6 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: (72 / 41) + csc(150). This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $csc(150) = 2.0000000000000004$
2. $72 / 41 = 1.7560975609756098$
... | (72 / 41) + csc(150) | 3.7560975609756104 | trig | 5 | 3 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((74 * 90) / 12) + cos(270). 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. $74 * 90 = 6660$
3... | ((74 * 90) / 12) + cos(270) | 555 | trig | 5 | 4 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((18 - 34) / tan(30)) / csc(45). 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. $csc(45) = 1.414213562... | ((18 - 34) / tan(30)) / csc(45) | -0.29247638719799146 | trig | 2 | 6 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: 39 * 65. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $39 * 65 = 2535$
The answer is $2535$
3. Drafting the response: "Ответ на ваш за... | 39 * 65 | 2535 | arithmetic | 2 | 1 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((97 - 87) * 8) - 93. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $97 - 87 = 10$
2. $10 * 8 = 80$
3. $80 - 93 = -13$
The answer i... | ((97 - 87) * 8) - 93 | -13 | arithmetic | 3 | 3 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((cos(60) + 34) * 40) / 49. 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. $log(32, 3) = 3.15464876785... | ((cos(60) + 34) * 40) / 49 | 25.00861653826516 | mixed | 1 | 6 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: (cot(45) * 24) / 93. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $cot(45) = 1.0000000000000002$
2. $1.0000000000000002 * 24 = 24.0000... | (cot(45) * 24) / 93 | 0.25806451612903236 | trig | 3 | 3 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: log(25, 10) + tan(315). This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $log(25, 10) = 1.3979400086720375$
2. $tan(315) = -1.000000000000... | log(25, 10) + tan(315) | 0.39794000867203705 | mixed | 4 | 3 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((12 + 4) - 56) + 82. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $12 + 4 = 16$
2. $16 - 56 = -40$
3. $-40 + 82 = 42$
The answer ... | ((12 + 4) - 56) + 82 | 42 | arithmetic | 2 | 3 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: (5 - 14) / 35. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $5 - 14 = -9$
2. $-9 / 35 = -0.2571428571428571$
The answer is $-0.25714... | (5 - 14) / 35 | -0.2571428571428571 | arithmetic | 2 | 2 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((96 * sqrt(25)) / 43) - 61. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $sqrt(25) = 5$
2. $96 * 5 = 480$
3. $480 / 43 = 11.1627906... | ((96 * sqrt(25)) / 43) - 61 | -49.83720930232558 | power | 3 | 4 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: 60 * 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. $60 * 2 = 120$
The answer is $120$
3. Drafting the respo... | 60 * sqrt(4) | 120 | power | 5 | 2 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: 65 / 43. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $65 / 43 = 1.5116279069767442$
The answer is $1.5116279069767442$
3. Drafting th... | 65 / 43 | 1.5116279069767442 | arithmetic | 5 | 1 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((75 / tan(315)) / 19) / 37. 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. $75 / -1.000000000000000... | ((75 / tan(315)) / 19) / 37 | -0.10668563300142243 | trig | 3 | 4 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((tan(315) * cos(30)) - cot(30)) + sqrt(64). 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. $cos(30)... | ((tan(315) * cos(30)) - cot(30)) + sqrt(64) | 5.401923788646684 | mixed | 3 | 7 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: (sqrt(9) - 51) / 98. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $sqrt(9) = 3$
2. $3 - 51 = -48$
3. $-48 / 98 = -0.4897959183673469... | (sqrt(9) - 51) / 98 | -0.4897959183673469 | power | 5 | 3 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: 69 / 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. $69 / 2 = 34.5$
The answer is $34.5$
3. Drafting the res... | 69 / sqrt(4) | 34.5 | power | 2 | 2 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((cbrt(27) + 41) + 4**3) / tan(135). This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $cbrt(27) = 3$
2. $4**3 = 64$
3. $tan(135) = -1.00... | ((cbrt(27) + 41) + 4**3) / tan(135) | -107.99999999999997 | mixed | 5 | 6 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((cbrt(64) - cos(0)) + 62) + cos(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. $cos(0) = 1$
3... | ((cbrt(64) - cos(0)) + 62) + cos(60) | 60.5 | mixed | 5 | 8 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: tan(135) + cos(180). This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $tan(135) = -1.0000000000000002$
2. $cos(180) = -1$
3. $-1.0000000... | tan(135) + cos(180) | -2 | trig | 1 | 3 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: log(5, 10) * sqrt(36). This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $log(5, 10) = 0.6989700043360187$
2. $sqrt(36) = 6$
3. $0.698970... | log(5, 10) * sqrt(36) | 4.1938200260161125 | mixed | 2 | 3 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: (12 * sin(45)) / 78. 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. $12 * 0.7071067811865476 = 8.48528... | (12 * sin(45)) / 78 | 0.10878565864408425 | trig | 3 | 3 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: cbrt(216) - cos(30). This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $cbrt(216) = 5.999999999999999$
2. $cos(30) = 0.8660254037844387$
... | cbrt(216) - cos(30) | 5.133974596215561 | mixed | 4 | 3 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: log(23, 3) / sqrt(9). This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $log(23, 3) = 2.854049830200271$
2. $sqrt(9) = 3$
3. $2.854049830... | log(23, 3) / sqrt(9) | 0.9513499434000904 | mixed | 4 | 3 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: 47 + 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. $47 + 0 = 47$
The answer is $47$
3. Drafting the response:... | 47 + sin(0) | 47 | trig | 3 | 2 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((41 + csc(90)) / 30) + 37. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $csc(90) = 1$
2. $cos(45) = 0.7071067811865476$
3. $41 + 1 ... | ((41 + csc(90)) / 30) + 37 | 39.107106781186545 | trig | 1 | 6 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: (64 * 79) / 54. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $64 * 79 = 5056$
2. $5056 / 54 = 93.62962962962963$
The answer is $93.6... | (64 * 79) / 54 | 93.62962962962963 | arithmetic | 5 | 2 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: (41 / sin(90)) - sqrt(100). This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $sin(90) = 1$
2. $sqrt(100) = 10$
3. $41 / 1 = 41$
4. $41... | (41 / sin(90)) - sqrt(100) | 31 | mixed | 5 | 4 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((76 / 96) - cot(45)) + 30. 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(45, 2) = 5.49185309632... | ((76 / 96) - cot(45)) + 30 | 35.28351976299634 | mixed | 3 | 6 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: (6**4 + 35) * 42. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $6**4 = 1296$
2. $1296 + 35 = 1331$
3. $1331 * 42 = 55902$
The answ... | (6**4 + 35) * 42 | 55902 | power | 3 | 3 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((sec(60) / 13) * log(15, 2)) / 30. 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. $log(15, 2) = 3.906... | ((sec(60) / 13) * log(15, 2)) / 30 | 0.020035336387735986 | mixed | 2 | 5 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: log(47, 2) + 52. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $log(47, 2) = 5.554588851677638$
2. $5.554588851677638 + 52 = 57.5545888... | log(47, 2) + 52 | 57.554588851677636 | log | 5 | 2 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((59 * 56) - csc(270)) + 93. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $csc(270) = -1$
2. $59 * 56 = 3304$
3. $3304 - -1 = 3305$
... | ((59 * 56) - csc(270)) + 93 | 3398 | trig | 2 | 4 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: sqrt(100) * 46. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $sqrt(100) = 10$
2. $10 * 46 = 460$
The answer is $460$
3. Drafting the... | sqrt(100) * 46 | 460 | power | 2 | 2 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: (87 * 2**3) + 100. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $2**3 = 8$
2. $87 * 8 = 696$
3. $696 + 100 = 796$
The answer is $7... | (87 * 2**3) + 100 | 796 | power | 1 | 3 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: (2**3 * sin(360)) / 95. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $2**3 = 8$
2. $sin(360) = -2.4492935982947064e-16$
3. $8 * -2.4... | (2**3 * sin(360)) / 95 | -2.0625630301429107e-17 | mixed | 4 | 4 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((6 / 86) - 24) * 57. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $6 / 86 = 0.06976744186046512$
2. $0.06976744186046512 - 24 = -23.9... | ((6 / 86) - 24) * 57 | -1364.0232558139535 | arithmetic | 3 | 3 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((sqrt(81) + 44) - cos(30)) * sin(270). This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $sqrt(81) = 9$
2. $cos(30) = 0.8660254037844387$
... | ((sqrt(81) + 44) - cos(30)) * sin(270) | -46.13397459621556 | mixed | 2 | 8 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((tan(315) / 83) + 75) + cos(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. $cos(30) = 0.866025... | ((tan(315) / 83) + 75) + cos(30) | 75.85397721101334 | trig | 4 | 5 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: (45 - 30) + 72. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $45 - 30 = 15$
2. $15 + 72 = 87$
The answer is $87$
3. Drafting the res... | (45 - 30) + 72 | 87 | arithmetic | 3 | 2 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: 36 * 55. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $36 * 55 = 1980$
The answer is $1980$
3. Drafting the response: "Ответ на ваш за... | 36 * 55 | 1980 | arithmetic | 4 | 1 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((log(32, 2) * 2) - 91) * 11. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $log(32, 2) = 5$
2. $5 * 2 = 10$
3. $10 - 91 = -81$
4. ... | ((log(32, 2) * 2) - 91) * 11 | -891 | log | 5 | 4 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((sec(60) * log(30, 3)) + 11) - log(38, 2). 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. $log(30, 3)... | ((sec(60) * log(30, 3)) + 11) - log(38, 2) | -60.05612096486482 | mixed | 2 | 7 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: 3 + 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. $3 + 3 = 6$
The answer is $6$
3. Drafting the response:... | 3 + cbrt(27) | 6 | power | 1 | 2 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((sec(0) / sqrt(25)) - 89) - 51. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $sec(0) = 1$
2. $sqrt(25) = 5$
3. $1 / 5 = 0.2$
4. $... | ((sec(0) / sqrt(25)) - 89) - 51 | -90.80000000000001 | mixed | 2 | 6 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: log(36, 2) - 48. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $log(36, 2) = 5.169925001442312$
2. $5.169925001442312 - 48 = -42.830074... | log(36, 2) - 48 | -42.83007499855769 | log | 4 | 2 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: cbrt(8) - 41. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $cbrt(8) = 2$
2. $2 - 41 = -39$
The answer is $-39$
3. Drafting the respo... | cbrt(8) - 41 | -39 | power | 5 | 2 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: sin(180) - 55. 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. $1.2246467991473532e-16 - 55 = -55$... | sin(180) - 55 | -55 | trig | 3 | 2 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: 4**3 * 59. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $4**3 = 64$
2. $64 * 59 = 3776$
The answer is $3776$
3. Drafting the respons... | 4**3 * 59 | 3776 | power | 1 | 2 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((log(30, 5) - sec(180)) / 33) + 60. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $log(30, 5) = 2.1132827525593787$
2. $sec(180) = -1$... | ((log(30, 5) - sec(180)) / 33) + 60 | 60.094341901592706 | mixed | 2 | 5 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((4**3 * sin(270)) - log(13, 10)) / cos(360). This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $4**3 = 64$
2. $sin(270) = -1$
3. $log(13... | ((4**3 * sin(270)) - log(13, 10)) / cos(360) | -0.6927015250245407 | mixed | 2 | 8 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: (sin(270) / 36) / sec(240). This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $sin(270) = -1$
2. $sec(240) = -1.9999999999999982$
3. $-1 ... | (sin(270) / 36) / sec(240) | 0.0138888888888889 | trig | 1 | 4 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((47 - 7) * 88) + 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. $sin(60) = 0.866025403784... | ((47 - 7) * 88) + csc(210) | 3046.677370513655 | trig | 3 | 6 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: 36 * 88. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $36 * 88 = 3168$
The answer is $3168$
3. Drafting the response: "Ответ на ваш за... | 36 * 88 | 3168 | arithmetic | 5 | 1 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: (3 + sin(180)) * log(50, 10). 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. $log(50, 10) = 1.698... | (3 + sin(180)) * log(50, 10) | 5.096910013008055 | mixed | 2 | 4 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((log(28, 3) - cbrt(27)) - 20) * cos(180). 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. $cbrt(27) ... | ((log(28, 3) - cbrt(27)) - 20) * cos(180) | 19.966896743695663 | mixed | 2 | 6 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((7 + 35) / sec(240)) * log(6, 2). 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(6, 2) = 2.584... | ((7 + 35) / sec(240)) * log(6, 2) | -54.284212515144326 | mixed | 5 | 5 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: (sqrt(100) / cbrt(216)) + sin(180). This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $sqrt(100) = 10$
2. $cbrt(216) = 5.999999999999999$
... | (sqrt(100) / cbrt(216)) + sin(180) | 1.6666666666666672 | mixed | 2 | 5 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: (76 + 5**3) - cot(135). This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $5**3 = 125$
2. $cot(135) = -0.9999999999999998$
3. $76 + 125 =... | (76 + 5**3) - cot(135) | 202 | mixed | 2 | 4 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: 24 * 63. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $24 * 63 = 1512$
The answer is $1512$
3. Drafting the response: "Ответ на ваш за... | 24 * 63 | 1512 | arithmetic | 4 | 1 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((81 + cot(135)) * 6) / 66. 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. $81 + -0.9999999999999998... | ((81 + cot(135)) * 6) / 66 | 7.2727272727272725 | trig | 1 | 4 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((84 / 51) * 38) / 3**2. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $3**2 = 9$
2. $84 / 51 = 1.6470588235294117$
3. $1.64705882352... | ((84 / 51) * 38) / 3**2 | 6.954248366013072 | power | 5 | 4 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((19 + cbrt(27)) - sec(120)) / 93. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $cbrt(27) = 3$
2. $sec(120) = -2.000000000000001$
3.... | ((19 + cbrt(27)) - sec(120)) / 93 | 0.44698085356616174 | mixed | 2 | 7 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((cos(270) / cbrt(8)) - 44) / 98. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $cos(270) = -1.8369701987210297e-16$
2. $cbrt(8) = 2$
... | ((cos(270) / cbrt(8)) - 44) / 98 | -0.4489795918367347 | mixed | 4 | 5 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: (tan(180) / 37) - 31. 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) / 37) - 31 | -31 | trig | 4 | 3 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((90 - 97) / 32) * sqrt(25). This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $sqrt(25) = 5$
2. $90 - 97 = -7$
3. $-7 / 32 = -0.21875$
... | ((90 - 97) / 32) * sqrt(25) | -54.6875 | power | 3 | 5 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: (30 + sin(270)) * cos(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. $cos(270) = -1.8369701987210297e-16$
3. ... | (30 + sin(270)) * cos(270) | -5.327213576290986e-15 | trig | 1 | 4 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: (cot(45) + sqrt(36)) * sqrt(9). 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. $sqrt(36) = 6$
3. $sq... | (cot(45) + sqrt(36)) * sqrt(9) | 21 | mixed | 2 | 5 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: 18 * 72. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $18 * 72 = 1296$
The answer is $1296$
3. Drafting the response: "Ответ на ваш за... | 18 * 72 | 1296 | arithmetic | 5 | 1 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((sqrt(16) - 52) - cos(90)) - 70. 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... | ((sqrt(16) - 52) - cos(90)) - 70 | -118 | mixed | 3 | 5 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((11 / 83) / 15) - 71. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $11 / 83 = 0.13253012048192772$
2. $0.13253012048192772 / 15 = 0.0... | ((11 / 83) / 15) - 71 | -70.99116465863453 | arithmetic | 2 | 3 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: 58 * 46. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $58 * 46 = 2668$
The answer is $2668$
3. Drafting the response: "Ответ на ваш за... | 58 * 46 | 2668 | arithmetic | 2 | 1 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((sec(240) * 17) + sin(30)) + 12. 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. $sin(30) = 0.499999... | ((sec(240) * 17) + sin(30)) + 12 | 0.5000000000000284 | trig | 3 | 6 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((sqrt(25) + 15) * 32) * tan(315). This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $sqrt(25) = 5$
2. $tan(315) = -1.0000000000000004$
3... | ((sqrt(25) + 15) * 32) * tan(315) | -640.0000000000002 | mixed | 3 | 5 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((86 * log(24, 2)) + 72) * 49. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $log(24, 2) = 4.584962500721157$
2. $86 * 4.58496250072115... | ((86 * log(24, 2)) + 72) * 49 | 22849.031978038955 | log | 1 | 4 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((5**3 + log(3, 10)) * sqrt(49)) + sqrt(25). This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $5**3 = 125$
2. $log(3, 10) = 0.477121254719... | ((5**3 + log(3, 10)) * sqrt(49)) + sqrt(25) | 42400.3127415858 | mixed | 2 | 8 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: 59 - 47. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $59 - 47 = 12$
The answer is $12$
3. Drafting the response: "Ответ на ваш запрос... | 59 - 47 | 12 | arithmetic | 4 | 1 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((11 * cot(90)) + 81) - 10. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $cot(90) = 6.123233995736766e-17$
2. $cos(270) = -1.836970198... | ((11 * cot(90)) + 81) - 10 | 71 | trig | 1 | 6 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: 5 - 74. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $5 - 74 = -69$
The answer is $-69$
3. Drafting the response: "Ответ на ваш запрос... | 5 - 74 | -69 | arithmetic | 1 | 1 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: 71 / 67. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $71 / 67 = 1.0597014925373134$
The answer is $1.0597014925373134$
3. Drafting th... | 71 / 67 | 1.0597014925373134 | arithmetic | 2 | 1 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((96 * 6) * 92) + 3. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $log(28, 2) = 4.807354922057604$
2. $96 * 6 = 576$
3. $576 * 92 = ... | ((96 * 6) * 92) + 3 | 52990.19264507794 | log | 1 | 5 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: sin(180) * 53. 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 * 53 = 6.49... | sin(180) * 53 | 6.490628035480972e-15 | trig | 4 | 2 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((3**4 + sec(45)) / 62) + sqrt(64). This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $3**4 = 81$
2. $sec(45) = 1.414213562373095$
3. $sq... | ((3**4 + sec(45)) / 62) + sqrt(64) | 9.329261509070534 | mixed | 5 | 6 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((18 + sqrt(64)) + 22) / 15. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $sqrt(64) = 8$
2. $18 + 8 = 26$
3. $26 + 22 = 48$
4. $48... | ((18 + sqrt(64)) + 22) / 15 | 3.2 | power | 5 | 4 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: (38 / cos(45)) + 52. 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. $38 / 0.7071067811865476 = 53.7401... | (38 / cos(45)) + 52 | 105.7401153701776 | trig | 5 | 3 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: (52 + 34) * 52. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $52 + 34 = 86$
2. $86 * 52 = 4472$
The answer is $4472$
3. Drafting the... | (52 + 34) * 52 | 4472 | arithmetic | 1 | 2 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: log(49, 5) - sqrt(16). This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $log(49, 5) = 2.418123910244335$
2. $sqrt(16) = 4$
3. $2.4181239... | log(49, 5) - sqrt(16) | -1.581876089755665 | mixed | 1 | 3 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((11 / 74) - sqrt(4)) / 40. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $sqrt(4) = 2$
2. $11 / 74 = 0.14864864864864866$
3. $0.1486... | ((11 / 74) - sqrt(4)) / 40 | 48.953716216216215 | power | 4 | 5 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((34 + 94) * 62) / 31. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $34 + 94 = 128$
2. $128 * 62 = 7936$
3. $7936 / 31 = 256$
4. $... | ((34 + 94) * 62) / 31 | 21248 | arithmetic | 3 | 4 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: (sin(0) / 75) * 80. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $sin(0) = 0$
2. $0 / 75 = 0$
3. $0 * 80 = 0$
The answer is $0$
3.... | (sin(0) / 75) * 80 | 0 | trig | 5 | 3 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: cbrt(27) + 13. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $cbrt(27) = 3$
2. $3 + 13 = 16$
The answer is $16$
3. Drafting the respo... | cbrt(27) + 13 | 16 | power | 5 | 2 |
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