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: ((95 / log(20, 2)) * cbrt(125)) + cbrt(216). This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $log(20, 2) = 4.321928094887363$
2. $cbrt(12... | ((95 / log(20, 2)) * cbrt(125)) + cbrt(216) | 193.9046512508856 | mixed | 5 | 7 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((40 - sin(360)) - sqrt(100)) / sec(240). 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(1... | ((40 - sin(360)) - sqrt(100)) / sec(240) | -105.00000000000001 | mixed | 5 | 7 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: 100 + 8. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $100 + 8 = 108$
The answer is $108$
3. Drafting the response: "Ответ на ваш запр... | 100 + 8 | 108 | arithmetic | 4 | 1 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: 40 / 40. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $40 / 40 = 1$
The answer is $1$
3. Drafting the response: "Ответ на ваш запрос в... | 40 / 40 | 1 | arithmetic | 2 | 1 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: (cot(45) + 93) + 61. 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. $1.0000000000000002 + 93 = 94$
3... | (cot(45) + 93) + 61 | 155 | trig | 2 | 3 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: 56 + 47. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $56 + 47 = 103$
The answer is $103$
3. Drafting the response: "Ответ на ваш запр... | 56 + 47 | 103 | arithmetic | 5 | 1 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: (3**2 / cos(0)) + sin(270). This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $3**2 = 9$
2. $cos(0) = 1$
3. $sin(270) = -1$
4. $9 / 1 =... | (3**2 / cos(0)) + sin(270) | 8 | mixed | 5 | 5 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((cos(360) * log(3, 3)) + 76) * sqrt(9). This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $cos(360) = 1$
2. $log(3, 3) = 1$
3. $sqrt(9) ... | ((cos(360) * log(3, 3)) + 76) * sqrt(9) | 21483 | mixed | 4 | 7 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((sin(45) + 56) / 35) * tan(360). 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. $tan(360) = -2.449293... | ((sin(45) + 56) / 35) * tan(360) | -3.9683529604849866e-16 | trig | 3 | 5 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: cos(90) / log(12, 5). This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $cos(90) = 6.123233995736766e-17$
2. $log(12, 5) = 1.54395931063277... | cos(90) / log(12, 5) | 3.965929641777437e-17 | mixed | 2 | 3 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((cos(0) + log(9, 10)) / 66) + 9. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $cos(0) = 1$
2. $log(9, 10) = 0.9542425094393249$
3. ... | ((cos(0) + log(9, 10)) / 66) + 9 | 0.09814793190208157 | mixed | 4 | 6 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: (54 + 28) - sin(45). 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. $54 + 28 = 82$
3. $82 - 0.707106... | (54 + 28) - sin(45) | 81.29289321881345 | trig | 5 | 3 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((log(30, 10) / 3) - 9) / cbrt(27). This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $log(30, 10) = 1.4771212547196624$
2. $cbrt(27) = 3$
... | ((log(30, 10) / 3) - 9) / cbrt(27) | -2.83587541614226 | mixed | 4 | 5 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((78 + sin(30)) - 95) + 18. 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. $78 + 0.49999999999999994 ... | ((78 + sin(30)) - 95) + 18 | 0.21428571428571427 | trig | 3 | 5 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((74 * 78) * log(31, 5)) + csc(30). This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $log(31, 5) = 2.133656214977323$
2. $csc(30) = 2.0000... | ((74 * 78) * log(31, 5)) + csc(30) | 12333.463672849108 | mixed | 5 | 7 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((log(23, 10) - 63) * sec(120)) + sec(30). This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $log(23, 10) = 1.3617278360175928$
2. $sec(120... | ((log(23, 10) - 63) * sec(120)) + sec(30) | 3.4564234685095587 | mixed | 5 | 7 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((66 + 40) - 52) - tan(360). 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. $tan(360) = -2.44929... | ((66 + 40) - 52) - tan(360) | 54 | trig | 1 | 6 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((sqrt(16) * 68) * cot(30)) * cos(270). This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $sqrt(16) = 4$
2. $cot(30) = 1.7320508075688774$
... | ((sqrt(16) * 68) * cot(30)) * cos(270) | -8.65429394799524e-14 | mixed | 5 | 6 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((43 * 68) / 27) + 19. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $43 * 68 = 2924$
2. $2924 / 27 = 108.29629629629629$
3. $108.296... | ((43 * 68) / 27) + 19 | 127.29629629629629 | arithmetic | 5 | 3 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: (log(4, 5) / cbrt(8)) / 97. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $log(4, 5) = 0.8613531161467861$
2. $cbrt(8) = 2$
3. $0.861... | (log(4, 5) / cbrt(8)) / 97 | 0.004439964516220547 | mixed | 4 | 4 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: 68 * tan(360). 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. $68 * -2.4492935982947064e-16 = -1... | 68 * tan(360) | -1.6655196468404002e-14 | trig | 3 | 2 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((sqrt(16) - sqrt(49)) * 84) * 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. $sqrt(49) = 7$
3. $4 - 7 = -3$
4... | ((sqrt(16) - sqrt(49)) * 84) * 70 | -617400 | power | 5 | 6 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((21 - 61) / 77) + log(44, 3). This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $log(44, 3) = 3.4445178457870527$
2. $21 - 61 = -40$
3. ... | ((21 - 61) / 77) + log(44, 3) | 2.9250373263065335 | log | 1 | 4 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: (cos(0) * cbrt(27)) / 23. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $cos(0) = 1$
2. $cbrt(27) = 3$
3. $1 * 3 = 3$
4. $3 / 23 = ... | (cos(0) * cbrt(27)) / 23 | 0.13043478260869565 | mixed | 1 | 4 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: (88 / 25) * 99. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $88 / 25 = 3.52$
2. $3.52 * 99 = 348.48$
The answer is $348.48$
3. Draf... | (88 / 25) * 99 | 348.48 | arithmetic | 5 | 2 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((89 * 2**4) + 74) + sqrt(36). This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $2**4 = 16$
2. $sqrt(36) = 6$
3. $89 * 16 = 1424$
4. $... | ((89 * 2**4) + 74) + sqrt(36) | 1457 | power | 2 | 6 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: (81 * 18) * 84. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $81 * 18 = 1458$
2. $1458 * 84 = 122472$
The answer is $122472$
3. Draf... | (81 * 18) * 84 | 122472 | arithmetic | 1 | 2 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: log(44, 3) / cos(180). This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $log(44, 3) = 3.4445178457870527$
2. $cos(180) = -1$
3. $3.44451... | log(44, 3) / cos(180) | -3.4445178457870527 | mixed | 5 | 3 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((74 / log(36, 2)) - 88) - 15. 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. $74 / 5.16992500144231... | ((74 / log(36, 2)) - 88) - 15 | -7804.407259644333 | log | 2 | 5 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: (sin(45) + cos(90)) - cot(225). 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. $cos(90) = 6.1232339957... | (sin(45) + cos(90)) - cot(225) | -0.29289321881345276 | trig | 3 | 5 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((32 * 28) / sin(90)) / log(37, 2). This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $sin(90) = 1$
2. $log(37, 2) = 5.20945336562895$
3.... | ((32 * 28) / sin(90)) / log(37, 2) | 171.99501312587788 | mixed | 3 | 5 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: 79 * sqrt(100). This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $sqrt(100) = 10$
2. $79 * 10 = 790$
The answer is $790$
3. Drafting the... | 79 * sqrt(100) | 790 | power | 4 | 2 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((sqrt(4) - 8) + 94) + csc(90). This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $sqrt(4) = 2$
2. $csc(90) = 1$
3. $2 - 8 = -6$
4. $-6... | ((sqrt(4) - 8) + 94) + csc(90) | -4 | mixed | 1 | 6 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: 21 / 12. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $21 / 12 = 1.75$
The answer is $1.75$
3. Drafting the response: "Ответ на ваш за... | 21 / 12 | 1.75 | arithmetic | 4 | 1 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((3 * 100) + 19) + 72. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $3 * 100 = 300$
2. $300 + 19 = 319$
3. $319 + 72 = 391$
The an... | ((3 * 100) + 19) + 72 | 391 | arithmetic | 2 | 3 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((32 / 92) / 48) - 70. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $sqrt(100) = 10$
2. $32 / 92 = 0.34782608695652173$
3. $0.347826... | ((32 / 92) / 48) - 70 | -59.992753623188406 | power | 2 | 5 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: 41 * sin(270). This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $sin(270) = -1$
2. $41 * -1 = -41$
The answer is $-41$
3. Drafting the r... | 41 * sin(270) | -41 | trig | 3 | 2 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((tan(315) + 31) + log(29, 5)) * 57. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $tan(315) = -1.0000000000000004$
2. $log(29, 5) = 2.... | ((tan(315) + 31) + log(29, 5)) * 57 | -3658.5129128950916 | mixed | 1 | 7 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: (cos(0) - 20) + log(45, 2). This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $cos(0) = 1$
2. $log(45, 2) = 5.491853096329675$
3. $1 - 20... | (cos(0) - 20) + log(45, 2) | -13.508146903670326 | mixed | 3 | 4 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((cbrt(216) + 93) + log(27, 3)) - 20. 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. $log(27, 3) = 3$... | ((cbrt(216) + 93) + log(27, 3)) - 20 | 13.666666666666666 | mixed | 5 | 6 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: (59 + sqrt(36)) - cbrt(8). This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $sqrt(36) = 6$
2. $cbrt(8) = 2$
3. $59 + 6 = 65$
4. $65 - ... | (59 + sqrt(36)) - cbrt(8) | 63 | power | 2 | 4 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: cos(30) * 74. 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. $0.8660254037844387 * 74 = 64.08587988004... | cos(30) * 74 | 64.08587988004847 | trig | 1 | 2 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: (90 / cos(180)) / sec(360). This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $cos(180) = -1$
2. $sec(360) = 1$
3. $90 / -1 = -90$
4. $... | (90 / cos(180)) / sec(360) | -90 | trig | 4 | 4 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((52 + 90) * 21) * log(41, 2). This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $log(41, 2) = 5.357552004618084$
2. $52 + 90 = 142$
3. $... | ((52 + 90) * 21) * log(41, 2) | 15976.220077771126 | log | 1 | 4 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((36 / 6) + sqrt(16)) - 23. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $sqrt(16) = 4$
2. $36 / 6 = 6$
3. $6 + 4 = 10$
4. $10 - 2... | ((36 / 6) + sqrt(16)) - 23 | -13 | power | 1 | 4 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: 70 + 39. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $70 + 39 = 109$
The answer is $109$
3. Drafting the response: "Ответ на ваш запр... | 70 + 39 | 109 | arithmetic | 1 | 1 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((40 * 2**2) * 71) - csc(210). This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $2**2 = 4$
2. $csc(210) = -1.9999999999999996$
3. $40 * ... | ((40 * 2**2) * 71) - csc(210) | 127.66292134831461 | mixed | 5 | 6 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((32 - 47) - 51) * 36. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $32 - 47 = -15$
2. $-15 - 51 = -66$
3. $-66 * 36 = -2376$
The ... | ((32 - 47) - 51) * 36 | -2376 | arithmetic | 1 | 3 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: (33 * sqrt(81)) * 24. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $sqrt(81) = 9$
2. $33 * 9 = 297$
3. $297 * 24 = 7128$
The answe... | (33 * sqrt(81)) * 24 | 7128 | power | 3 | 3 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: 16 / 92. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $16 / 92 = 0.17391304347826086$
The answer is $0.17391304347826086$
3. Drafting ... | 16 / 92 | 0.17391304347826086 | arithmetic | 5 | 1 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((cos(0) - 29) * sqrt(9)) * 24. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $cos(0) = 1$
2. $sqrt(9) = 3$
3. $cbrt(216) = 5.9999999... | ((cos(0) - 29) * sqrt(9)) * 24 | -2010 | mixed | 5 | 7 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((log(20, 5) / sin(90)) + 8) + 59. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $log(20, 5) = 1.8613531161467862$
2. $sin(90) = 1$
3... | ((log(20, 5) / sin(90)) + 8) + 59 | 68.86135311614679 | mixed | 5 | 5 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((16 - 25) + cbrt(125)) * sin(30). This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $cbrt(125) = 4.999999999999999$
2. $sin(30) = 0.499999... | ((16 - 25) + cbrt(125)) * sin(30) | -92 | mixed | 5 | 6 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: (75 * cbrt(8)) + 9. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $cbrt(8) = 2$
2. $75 * 2 = 150$
3. $150 + 9 = 159$
The answer is ... | (75 * cbrt(8)) + 9 | 159 | power | 1 | 3 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: (7 / 86) / sqrt(81). This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $sqrt(81) = 9$
2. $7 / 86 = 0.08139534883720931$
3. $0.08139534883... | (7 / 86) / sqrt(81) | 0.009043927648578812 | power | 1 | 3 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((64 / 89) / 21) * 9. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $64 / 89 = 0.7191011235955056$
2. $0.7191011235955056 / 21 = 0.0342... | ((64 / 89) / 21) * 9 | 0.30818619582664525 | arithmetic | 5 | 3 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: 28 / 17. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $28 / 17 = 1.6470588235294117$
The answer is $1.6470588235294117$
3. Drafting th... | 28 / 17 | 1.6470588235294117 | arithmetic | 1 | 1 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: (sin(360) + 37) + cbrt(8). 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. $cbrt(8) = 2$
3. $-2... | (sin(360) + 37) + cbrt(8) | 39 | mixed | 1 | 4 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: (64 - 2) + 53. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $64 - 2 = 62$
2. $62 + 53 = 115$
The answer is $115$
3. Drafting the res... | (64 - 2) + 53 | 115 | arithmetic | 2 | 2 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((sin(45) * tan(0)) - 9) * log(13, 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. $tan(0) = 0$
3... | ((sin(45) * tan(0)) - 9) * log(13, 2) | -33.30395746326983 | mixed | 2 | 6 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: 4 * sqrt(64). This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $sqrt(64) = 8$
2. $4 * 8 = 32$
The answer is $32$
3. Drafting the respons... | 4 * sqrt(64) | 32 | power | 3 | 2 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((81 * 39) / cos(180)) / sqrt(9). This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $cos(180) = -1$
2. $sqrt(9) = 3$
3. $81 * 39 = 3159$
... | ((81 * 39) / cos(180)) / sqrt(9) | -1053 | mixed | 1 | 5 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((cos(45) * 78) - 39) * 3. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $cos(45) = 0.7071067811865476$
2. $0.7071067811865476 * 78 = 5... | ((cos(45) * 78) - 39) * 3 | 2471.612326680259 | trig | 2 | 5 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: (88 - 95) * 45. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $88 - 95 = -7$
2. $-7 * 45 = -315$
The answer is $-315$
3. Drafting the... | (88 - 95) * 45 | -315 | arithmetic | 4 | 2 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((3 / sec(30)) * tan(45)) / 80. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $sec(30) = 1.1547005383792515$
2. $tan(45) = 0.9999999999... | ((3 / sec(30)) * tan(45)) / 80 | 0.45466333698683026 | trig | 2 | 6 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: (csc(45) + log(45, 5)) + 35. 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(45, 5) = 2.36521238897... | (csc(45) + log(45, 5)) + 35 | 38.77942595134507 | mixed | 4 | 4 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: (cos(360) + cot(270)) - 6. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $cos(360) = 1$
2. $cot(270) = 1.83697019872103e-16$
3. $1 + ... | (cos(360) + cot(270)) - 6 | -5 | trig | 1 | 4 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: 2**4 + csc(210). This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $2**4 = 16$
2. $csc(210) = -1.9999999999999996$
3. $16 + -1.9999999999... | 2**4 + csc(210) | 14 | mixed | 3 | 3 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: (90 * 61) * 21. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $90 * 61 = 5490$
2. $5490 * 21 = 115290$
The answer is $115290$
3. Draf... | (90 * 61) * 21 | 115290 | arithmetic | 4 | 2 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: (log(7, 2) + 4) + 67. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $log(7, 2) = 2.807354922057604$
2. $2.807354922057604 + 4 = 6.80735... | (log(7, 2) + 4) + 67 | 73.8073549220576 | log | 1 | 3 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((61 + 37) - 48) - 18. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $61 + 37 = 98$
2. $98 - 48 = 50$
3. $50 - 18 = 32$
4. $32 - 58... | ((61 + 37) - 48) - 18 | -26 | arithmetic | 5 | 4 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: 46 + cos(30). 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. $46 + 0.8660254037844387 = 46.86602540378... | 46 + cos(30) | 46.86602540378444 | trig | 4 | 2 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((11 - sin(180)) * 23) - log(15, 5). 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(15, 5) =... | ((11 - sin(180)) * 23) - log(15, 5) | 252.317393805514 | mixed | 5 | 7 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((6 - 6) * 97) - 17. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $6 - 6 = 0$
2. $0 * 97 = 0$
3. $0 - 17 = -17$
The answer is $-17... | ((6 - 6) * 97) - 17 | -17 | arithmetic | 3 | 3 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: 5**4 / 97. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $5**4 = 625$
2. $625 / 97 = 6.443298969072165$
The answer is $6.443298969072... | 5**4 / 97 | 6.443298969072165 | power | 3 | 2 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: sin(60) + 37. 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. $0.8660254037844386 + 37 = 37.86602540378... | sin(60) + 37 | 37.86602540378444 | trig | 2 | 2 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: sin(0) * 77. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $sin(0) = 0$
2. $0 * 77 = 0$
The answer is $0$
3. Drafting the response: "... | sin(0) * 77 | 0 | trig | 4 | 2 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((29 - log(21, 5)) / 67) / 27. 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. $29 - 1.8916681496081... | ((29 - log(21, 5)) / 67) / 27 | 0.014985258070973935 | log | 3 | 4 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((29 - 5**2) + csc(90)) + cos(0). This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $5**2 = 25$
2. $csc(90) = 1$
3. $cos(0) = 1$
4. $co... | ((29 - 5**2) + csc(90)) + cos(0) | 5 | mixed | 1 | 8 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: 57 / 1. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $57 / 1 = 57$
The answer is $57$
3. Drafting the response: "Ответ на ваш запрос в... | 57 / 1 | 57 | arithmetic | 4 | 1 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((log(8, 3) * 34) * log(44, 10)) + cbrt(125). This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $log(8, 3) = 1.892789260714372$
2. $log(44,... | ((log(8, 3) * 34) * log(44, 10)) + cbrt(125) | 205.76412560254175 | mixed | 1 | 7 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: (61 / 45) + log(34, 2). This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $log(34, 2) = 5.08746284125034$
2. $61 / 45 = 1.3555555555555556$... | (61 / 45) + log(34, 2) | 6.443018396805895 | log | 4 | 3 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: sin(270) + log(15, 10). This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $sin(270) = -1$
2. $log(15, 10) = 1.1760912590556811$
3. $-1 + ... | sin(270) + log(15, 10) | 0.17609125905568113 | mixed | 5 | 3 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: log(34, 2) - 100. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $log(34, 2) = 5.08746284125034$
2. $5.08746284125034 - 100 = -94.912537... | log(34, 2) - 100 | -94.91253715874966 | log | 1 | 2 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: sin(30) - 93. 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. $0.49999999999999994 - 93 = -92.5$
The... | sin(30) - 93 | -92.5 | trig | 2 | 2 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: (cos(30) + 48) - cos(180). 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. $cos(180) = -1$
3. $0.8660... | (cos(30) + 48) - cos(180) | 49.86602540378444 | trig | 5 | 4 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((sqrt(49) - 3) - sqrt(4)) - 75. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $sqrt(49) = 7$
2. $sqrt(4) = 2$
3. $7 - 3 = 4$
4. $4... | ((sqrt(49) - 3) - sqrt(4)) - 75 | -12.166666666666666 | power | 5 | 6 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: sqrt(100) - 35. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $sqrt(100) = 10$
2. $10 - 35 = -25$
The answer is $-25$
3. Drafting the... | sqrt(100) - 35 | -25 | power | 2 | 2 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((77 - log(15, 3)) / 8) + 64. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $log(15, 3) = 2.464973520717927$
2. $77 - 2.464973520717927... | ((77 - log(15, 3)) / 8) + 64 | 73.31687830991027 | log | 5 | 4 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: 62 + 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. $62 + 25 = 87$
The answer is $87$
3. Drafting the response: "... | 62 + 5**2 | 87 | power | 3 | 2 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((73 * 24) * sqrt(16)) + sin(270). This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $sqrt(16) = 4$
2. $sin(270) = -1$
3. $73 * 24 = 1752... | ((73 * 24) * sqrt(16)) + sin(270) | 7007 | mixed | 1 | 5 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((90 - 48) - log(11, 5)) / 82. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $log(11, 5) = 1.4898961024049782$
2. $90 - 48 = 42$
3. $... | ((90 - 48) - log(11, 5)) / 82 | 0.49402565728774417 | log | 2 | 4 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((4 * 90) * 73) / 83. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $4 * 90 = 360$
2. $360 * 73 = 26280$
3. $26280 / 83 = 316.6265060... | ((4 * 90) * 73) / 83 | 316.6265060240964 | arithmetic | 1 | 4 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: (18 * 96) * 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. $18 * 96 = 1728$
3. $1728 * 5 = 8640$
The ans... | (18 * 96) * sqrt(25) | 8640 | power | 1 | 3 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: (9 / 84) - sin(360). This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $sin(360) = -2.4492935982947064e-16$
2. $9 / 84 = 0.1071428571428571... | (9 / 84) - sin(360) | 0.10714285714285739 | trig | 4 | 3 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((tan(315) * 16) + 57) + 3**4. 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. $3**4 = 81$
3. $-1.0... | ((tan(315) * 16) + 57) + 3**4 | 122 | mixed | 5 | 5 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: (tan(180) / cos(0)) - 10. 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. $cos(0) = 1$
3. $-1.2... | (tan(180) / cos(0)) - 10 | -10 | trig | 5 | 4 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: (85 + 91) * sin(30). This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $sin(30) = 0.49999999999999994$
2. $85 + 91 = 176$
3. $176 * 0.499... | (85 + 91) * sin(30) | 87.99999999999999 | trig | 1 | 3 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((58 / cot(30)) * tan(0)) / 50. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $cot(30) = 1.7320508075688774$
2. $tan(0) = 0$
3. $58 /... | ((58 / cot(30)) * tan(0)) / 50 | 0 | trig | 4 | 5 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: 82 + 27. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $82 + 27 = 109$
The answer is $109$
3. Drafting the response: "Ответ на ваш запр... | 82 + 27 | 109 | arithmetic | 3 | 1 |
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