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: cbrt(216) * 74. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $cbrt(216) = 5.999999999999999$
2. $5.999999999999999 * 74 = 443.99999999... | cbrt(216) * 74 | 443.99999999999994 | power | 5 | 2 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((80 + cos(60)) * tan(360)) * log(27, 10). 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. $tan(360) = ... | ((80 + cos(60)) * tan(360)) * log(27, 10) | -2.8221932340304252e-14 | mixed | 4 | 6 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: (cos(360) * 75) + 12. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $cos(360) = 1$
2. $1 * 75 = 75$
3. $75 + 12 = 87$
The answer is... | (cos(360) * 75) + 12 | 87 | trig | 3 | 3 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: 97 - 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. $97 - 1.0000000000000004 = 96$
The an... | 97 - cot(225) | 96 | trig | 4 | 2 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((83 / 42) - 41) - 65. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $83 / 42 = 1.9761904761904763$
2. $1.9761904761904763 - 41 = -39.0... | ((83 / 42) - 41) - 65 | -12.023809523809518 | arithmetic | 1 | 4 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((7 - 4) + 22) / 24. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $7 - 4 = 3$
2. $3 + 22 = 25$
3. $25 / 24 = 1.0416666666666667$
4... | ((7 - 4) + 22) / 24 | 0.010521885521885523 | arithmetic | 4 | 4 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((sqrt(49) - cos(180)) + tan(360)) * 61. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $sqrt(49) = 7$
2. $cos(180) = -1$
3. $tan(360)... | ((sqrt(49) - cos(180)) + tan(360)) * 61 | 488 | mixed | 3 | 6 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: (25 + sqrt(81)) + sin(90). This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $sqrt(81) = 9$
2. $sin(90) = 1$
3. $25 + 9 = 34$
4. $34 + ... | (25 + sqrt(81)) + sin(90) | 35 | mixed | 2 | 4 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((64 * sin(360)) * 17) / 42. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $sin(360) = -2.4492935982947064e-16$
2. $log(7, 10) = 0.8450... | ((64 * sin(360)) * 17) / 42 | -7.50781146026697e-15 | mixed | 2 | 6 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: sec(60) * cbrt(8). This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $sec(60) = 1.9999999999999996$
2. $cbrt(8) = 2$
3. $1.99999999999999... | sec(60) * cbrt(8) | 3.999999999999999 | mixed | 2 | 3 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: (cbrt(64) * tan(60)) + tan(360). 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. $tan(60) = 1.73205080... | (cbrt(64) * tan(60)) + tan(360) | 6.928203230275506 | mixed | 3 | 5 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: (9 / csc(90)) / 5**2. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $csc(90) = 1$
2. $5**2 = 25$
3. $9 / 1 = 9$
4. $9 / 25 = 0.36$
... | (9 / csc(90)) / 5**2 | 0.36 | mixed | 3 | 4 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((tan(360) / cot(315)) * 27) - 71. 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. $cot(315) = -0... | ((tan(360) / cot(315)) * 27) - 71 | -71 | trig | 4 | 5 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: (cbrt(125) + sqrt(16)) - 82. 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. $sqrt(16) = 4$
3. $4.99... | (cbrt(125) + sqrt(16)) - 82 | -73 | power | 3 | 4 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((tan(0) - cos(90)) / tan(135)) - sec(60). This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $tan(0) = 0$
2. $cos(90) = 6.123233995736766e-... | ((tan(0) - cos(90)) / tan(135)) - sec(60) | -1.9999999999999996 | trig | 3 | 7 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((cbrt(125) * sqrt(4)) / 61) * 65. 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. $sqrt(4) = 2$
3. ... | ((cbrt(125) * sqrt(4)) / 61) * 65 | 48.65573770491803 | power | 1 | 6 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: 61 / 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. $61 / 0.49999999999999994 = 122.00000000... | 61 / sin(30) | 122.00000000000001 | trig | 1 | 2 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((60 * csc(90)) / 3) * 48. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $csc(90) = 1$
2. $60 * 1 = 60$
3. $60 / 3 = 20$
4. $20 * 4... | ((60 * csc(90)) / 3) * 48 | 960 | trig | 5 | 4 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((log(39, 3) + 2**3) * 97) - 68. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $log(39, 3) = 3.3347175194727923$
2. $2**3 = 8$
3. $3.... | ((log(39, 3) + 2**3) * 97) - 68 | 1031.467599388861 | mixed | 2 | 5 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((sqrt(4) + 21) * csc(210)) - log(16, 10). 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(210) = -1.99999999999999... | ((sqrt(4) + 21) * csc(210)) - log(16, 10) | -47.20411998265592 | mixed | 2 | 6 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: (58 * 31) / 40. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $58 * 31 = 1798$
2. $1798 / 40 = 44.95$
The answer is $44.95$
3. Drafti... | (58 * 31) / 40 | 44.95 | arithmetic | 1 | 2 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: (cos(45) / sin(45)) * 81. 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. $sin(45) = 0.7071067811865476... | (cos(45) / sin(45)) * 81 | 81 | trig | 3 | 4 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((73 / sin(90)) + 14) / sqrt(4). This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $sin(90) = 1$
2. $sqrt(4) = 2$
3. $73 / 1 = 73$
4. $... | ((73 / sin(90)) + 14) / sqrt(4) | 43.5 | mixed | 2 | 5 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((23 + sqrt(64)) + sqrt(100)) - 59. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $sqrt(64) = 8$
2. $sqrt(100) = 10$
3. $23 + 8 = 31$... | ((23 + sqrt(64)) + sqrt(100)) - 59 | -18 | power | 3 | 5 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: 20 + 27. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $20 + 27 = 47$
The answer is $47$
3. Drafting the response: "Ответ на ваш запрос... | 20 + 27 | 47 | arithmetic | 5 | 1 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((17 * 67) / 10) - log(44, 2). This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $log(44, 2) = 5.459431618637297$
2. $17 * 67 = 1139$
3. ... | ((17 * 67) / 10) - log(44, 2) | 103.44056838136271 | log | 3 | 5 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((15 + 6) + 59) + sin(60). This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $sin(60) = 0.8660254037844386$
2. $15 + 6 = 21$
3. $21 + 59 ... | ((15 + 6) + 59) + sin(60) | 80.86602540378443 | trig | 4 | 4 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: (22 / cbrt(27)) + cbrt(64). This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $cbrt(27) = 3$
2. $cbrt(64) = 3.9999999999999996$
3. $22 / ... | (22 / cbrt(27)) + cbrt(64) | 11.333333333333332 | power | 4 | 4 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: (49 + 63) - 43. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $49 + 63 = 112$
2. $112 - 43 = 69$
The answer is $69$
3. Drafting the r... | (49 + 63) - 43 | 69 | arithmetic | 4 | 2 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((22 * tan(315)) / 2) + sqrt(9). 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. $sqrt(9) = 3$
3. $... | ((22 * tan(315)) / 2) + sqrt(9) | -8.000000000000005 | mixed | 4 | 5 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: 5 + 9. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $5 + 9 = 14$
The answer is $14$
3. Drafting the response: "Ответ на ваш запрос в р... | 5 + 9 | 14 | arithmetic | 1 | 1 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((75 * 20) * 94) - 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. $75 * 20 = 1500$
3. $1500... | ((75 * 20) * 94) - sin(45) | 140999.2928932188 | trig | 5 | 4 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((41 * 3) / cbrt(8)) / 51. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $cbrt(8) = 2$
2. $41 * 3 = 123$
3. $123 / 2 = 61.5$
4. $61... | ((41 * 3) / cbrt(8)) / 51 | 118.17647058823529 | power | 1 | 5 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: (19 / cos(30)) - cbrt(64). 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. $cbrt(64) = 3.99999999999999... | (19 / cos(30)) - cbrt(64) | 17.939310229205777 | mixed | 2 | 4 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((61 + 7) / log(36, 10)) / 23. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $log(36, 10) = 1.556302500767287$
2. $61 + 7 = 68$
3. $6... | ((61 + 7) / log(36, 10)) / 23 | 95.89970891756121 | log | 2 | 5 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((83 * sqrt(4)) / sqrt(49)) + 54. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $sqrt(4) = 2$
2. $sqrt(49) = 7$
3. $tan(45) = 0.99999... | ((83 * sqrt(4)) / sqrt(49)) + 54 | 76.71428571428572 | mixed | 1 | 7 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((76 + 64) * 41) * cos(0). This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $cos(0) = 1$
2. $76 + 64 = 140$
3. $140 * 41 = 5740$
4. $5... | ((76 + 64) * 41) * cos(0) | 5740 | trig | 1 | 4 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((sqrt(36) / 32) - sqrt(81)) - 7. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $sqrt(36) = 6$
2. $sqrt(81) = 9$
3. $6 / 32 = 0.1875$... | ((sqrt(36) / 32) - sqrt(81)) - 7 | -102.8125 | power | 4 | 6 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: (log(6, 5) - 86) + 75. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $log(6, 5) = 1.1132827525593785$
2. $1.1132827525593785 - 86 = -84... | (log(6, 5) - 86) + 75 | -9.886717247440615 | log | 2 | 3 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: (91 / 22) - 11. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $91 / 22 = 4.136363636363637$
2. $4.136363636363637 - 11 = -6.86363636363... | (91 / 22) - 11 | -6.863636363636363 | arithmetic | 2 | 2 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: 88 / 2**3. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $2**3 = 8$
2. $88 / 8 = 11$
The answer is $11$
3. Drafting the response: "От... | 88 / 2**3 | 11 | power | 3 | 2 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((92 - sin(180)) * 2) + 36. 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. $92 - 1.22464679914735... | ((92 - sin(180)) * 2) + 36 | 220 | trig | 1 | 4 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((cbrt(125) - 76) * log(37, 2)) - 38. 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. $log(37, 2) = 5.... | ((cbrt(125) - 76) * log(37, 2)) - 38 | -407.87118895965546 | mixed | 5 | 5 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((sin(360) + cos(30)) / 49) / 53. 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. $cos(30) = 0.86... | ((sin(360) + cos(30)) / 49) / 53 | 0.0003334714685346317 | trig | 3 | 5 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((33 * log(37, 3)) + 44) / 20. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $log(37, 3) = 3.2867991282182727$
2. $33 * 3.2867991282182... | ((33 * log(37, 3)) + 44) / 20 | 7.623218561560151 | log | 1 | 4 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((log(34, 10) * 83) - 2**2) + 5**2. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $log(34, 10) = 1.5314789170422551$
2. $2**2 = 4$
3.... | ((log(34, 10) * 83) - 2**2) + 5**2 | 1333.0147510305646 | mixed | 1 | 7 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((68 - cbrt(27)) * log(9, 3)) / log(15, 3). This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $cbrt(27) = 3$
2. $log(9, 3) = 2$
3. $log(1... | ((68 - cbrt(27)) * log(9, 3)) / log(15, 3) | 2373.2506458309454 | mixed | 2 | 7 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: (87 * 87) * 76. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $87 * 87 = 7569$
2. $7569 * 76 = 575244$
The answer is $575244$
3. Draf... | (87 * 87) * 76 | 575244 | arithmetic | 1 | 2 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((csc(270) * 42) - tan(45)) - 5. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $csc(270) = -1$
2. $tan(45) = 0.9999999999999999$
3. $... | ((csc(270) * 42) - tan(45)) - 5 | -48 | trig | 1 | 5 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: (sin(360) + 87) + 52. 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. $-2.4492935982947064e-16 + ... | (sin(360) + 87) + 52 | 139 | trig | 3 | 3 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((9 - 96) / 40) - 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. $sqrt(4) = 2$
3. $9... | ((9 - 96) / 40) - tan(360) | -0.17499999999999938 | mixed | 5 | 6 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: (92 / log(28, 2)) + 1. 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. $92 / 4.807354922057604 = 19.1... | (92 / log(28, 2)) + 1 | 20.13734298623887 | log | 4 | 3 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: (3 * 98) - sec(30). 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. $3 * 98 = 294$
3. $294 - 1.154700... | (3 * 98) - sec(30) | 292.84529946162075 | trig | 5 | 3 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((53 * 51) * sqrt(49)) * 28. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $sqrt(49) = 7$
2. $tan(30) = 0.5773502691896257$
3. $53 * ... | ((53 * 51) * sqrt(49)) * 28 | 917619.7332403004 | mixed | 4 | 6 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: (cbrt(27) * 89) + 2**4. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $cbrt(27) = 3$
2. $2**4 = 16$
3. $3 * 89 = 267$
4. $267 + 16 ... | (cbrt(27) * 89) + 2**4 | 283 | power | 2 | 4 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: (27 + 54) / 98. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $27 + 54 = 81$
2. $81 / 98 = 0.826530612244898$
The answer is $0.826530... | (27 + 54) / 98 | 0.826530612244898 | arithmetic | 5 | 2 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((log(42, 5) + sin(45)) + 90) * log(6, 10). This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $log(42, 5) = 2.322344707681546$
2. $sin(45) ... | ((log(42, 5) + sin(45)) + 90) * log(6, 10) | 154.3909839985672 | mixed | 1 | 7 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: (5**2 + sqrt(81)) + cos(60). This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $5**2 = 25$
2. $sqrt(81) = 9$
3. $cos(60) = 0.500000000000... | (5**2 + sqrt(81)) + cos(60) | 34.5 | mixed | 3 | 5 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((log(6, 10) - cot(270)) / 90) - sin(360). This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $log(6, 10) = 0.7781512503836435$
2. $cot(270)... | ((log(6, 10) - cot(270)) / 90) - sin(360) | 66.00864612500426 | mixed | 4 | 7 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: 45 / 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. $45 / 4 = 11.25$
The answer is $11.25$
3. Drafting the... | 45 / sqrt(16) | 11.25 | power | 5 | 2 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: cot(30) - 4. 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. $1.7320508075688774 - 4 = -2.2679491924311... | cot(30) - 4 | -2.2679491924311224 | trig | 5 | 2 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: 91 * 86. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $91 * 86 = 7826$
The answer is $7826$
3. Drafting the response: "Ответ на ваш за... | 91 * 86 | 7826 | arithmetic | 2 | 1 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: sin(0) * 50. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $sin(0) = 0$
2. $0 * 50 = 0$
The answer is $0$
3. Drafting the response: "... | sin(0) * 50 | 0 | trig | 1 | 2 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((43 - 43) - 12) / 40. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $43 - 43 = 0$
2. $0 - 12 = -12$
3. $-12 / 40 = -0.3$
The answe... | ((43 - 43) - 12) / 40 | -0.3 | arithmetic | 3 | 3 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: (37 + 27) + 11. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $37 + 27 = 64$
2. $64 + 11 = 75$
The answer is $75$
3. Drafting the res... | (37 + 27) + 11 | 75 | arithmetic | 1 | 2 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((sin(90) * sin(30)) + sec(180)) - log(44, 5). This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $sin(90) = 1$
2. $sin(30) = 0.499999999999... | ((sin(90) * sin(30)) + sec(180)) - log(44, 5) | -182.47994998731292 | mixed | 3 | 8 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((sec(60) - cbrt(27)) + 33) - 85. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $sec(60) = 1.9999999999999996$
2. $cbrt(27) = 3$
3. $... | ((sec(60) - cbrt(27)) + 33) - 85 | -82 | mixed | 5 | 6 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((2**2 * 27) + 10) * 2**3. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $2**2 = 4$
2. $2**3 = 8$
3. $4 * 27 = 108$
4. $108 + 10 = ... | ((2**2 * 27) + 10) * 2**3 | 21.454545454545453 | power | 2 | 6 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((sqrt(16) / 2) - 43) + 93. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $sqrt(16) = 4$
2. $4 / 2 = 2$
3. $2 - 43 = -41$
4. $-41 +... | ((sqrt(16) / 2) - 43) + 93 | 24 | power | 5 | 5 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((sqrt(25) + 82) / 45) + 58. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $sqrt(25) = 5$
2. $5 + 82 = 87$
3. $87 / 45 = 1.9333333333... | ((sqrt(25) + 82) / 45) + 58 | 59.93333333333333 | power | 1 | 4 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: cos(0) - 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. $1 - 2 = -1$
The answer is $-1$
3. Drafting the response: "... | cos(0) - 2 | -1 | trig | 1 | 2 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: sec(360) / 18. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $sec(360) = 1$
2. $1 / 18 = 0.05555555555555555$
The answer is $0.055555... | sec(360) / 18 | 0.05555555555555555 | trig | 3 | 2 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: 83 - cot(30). 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. $83 - 1.7320508075688774 = 81.26794919243... | 83 - cot(30) | 81.26794919243112 | trig | 4 | 2 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: 99 + 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. $99 + -2.4492935982947064e-16 = 99... | 99 + sin(360) | 99 | trig | 1 | 2 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((csc(30) / cot(45)) / 10) + cbrt(8). 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. $cot(45) = 1.0000... | ((csc(30) / cot(45)) / 10) + cbrt(8) | 0.023157894736842106 | mixed | 1 | 7 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((tan(60) + 67) / cos(180)) + 43. 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. $cos(180) = -1$
3. ... | ((tan(60) + 67) / cos(180)) + 43 | -25.732050807568882 | trig | 2 | 5 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: (sin(180) - 29) - 95. 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 - 29... | (sin(180) - 29) - 95 | -124 | trig | 3 | 3 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((9 - sin(90)) / 3**2) / tan(135). This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $sin(90) = 1$
2. $3**2 = 9$
3. $tan(135) = -1.000000... | ((9 - sin(90)) / 3**2) / tan(135) | -0.8888888888888886 | mixed | 4 | 6 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((9 * 68) / cbrt(8)) / 18. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $cbrt(8) = 2$
2. $9 * 68 = 612$
3. $612 / 2 = 306$
4. $306... | ((9 * 68) / cbrt(8)) / 18 | 17 | power | 5 | 4 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: csc(150) + 62. 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. $2.0000000000000004 + 62 = 64$
The an... | csc(150) + 62 | 64 | trig | 1 | 2 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: (2**3 - 82) - 98. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $2**3 = 8$
2. $8 - 82 = -74$
3. $-74 - 98 = -172$
The answer is $-1... | (2**3 - 82) - 98 | -172 | power | 5 | 3 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: (sqrt(4) + sec(30)) - 78. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $sqrt(4) = 2$
2. $sec(30) = 1.1547005383792515$
3. $2 + 1.154... | (sqrt(4) + sec(30)) - 78 | -74.84529946162075 | mixed | 1 | 4 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: 5**4 * 91. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $5**4 = 625$
2. $625 * 91 = 56875$
The answer is $56875$
3. Drafting the res... | 5**4 * 91 | 56875 | power | 2 | 2 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((45 + 98) / 38) * 68. 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. $45 + 98 = 143$
3. $143 / 38 ... | ((45 + 98) / 38) * 68 | 256.39473684210526 | trig | 2 | 5 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: (sin(360) - 8) - 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. $-2.4492935982947064e-16 - 8 ... | (sin(360) - 8) - 8 | -16 | trig | 5 | 3 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: (84 - 80) / 95. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $84 - 80 = 4$
2. $4 / 95 = 0.042105263157894736$
The answer is $0.04210... | (84 - 80) / 95 | 0.042105263157894736 | arithmetic | 4 | 2 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((82 - log(3, 5)) + cbrt(27)) / 6**4. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $log(3, 5) = 0.6826061944859854$
2. $cbrt(27) = 3$
... | ((82 - log(3, 5)) + cbrt(27)) / 6**4 | 1.4792732798156212 | mixed | 1 | 8 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: (log(7, 10) - 37) + 58. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $log(7, 10) = 0.8450980400142567$
2. $0.8450980400142567 - 37 = -... | (log(7, 10) - 37) + 58 | 21.845098040014257 | log | 1 | 3 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((9 * 70) * 35) / 46. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $9 * 70 = 630$
2. $630 * 35 = 22050$
3. $22050 / 46 = 479.3478260... | ((9 * 70) * 35) / 46 | 479.3478260869565 | arithmetic | 4 | 3 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: (84 / 45) - 43. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $84 / 45 = 1.8666666666666667$
2. $1.8666666666666667 - 43 = -41.13333333... | (84 / 45) - 43 | -41.13333333333333 | arithmetic | 3 | 2 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((sin(45) + 7) + 16) * 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. $cot(225) = 1.00000000... | ((sin(45) + 7) + 16) * cot(225) | 1.9755922317655463 | trig | 3 | 6 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: (cbrt(64) + 15) - sec(180). 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. $sec(180) = -1$
3. $3.99... | (cbrt(64) + 15) - sec(180) | 20 | mixed | 1 | 4 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: (22 / tan(45)) - 70. 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. $22 / 0.9999999999999999 = 22.0000... | (22 / tan(45)) - 70 | -48 | trig | 4 | 3 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((log(7, 5) / log(12, 3)) + 62) - 48. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $log(7, 5) = 1.2090619551221675$
2. $log(12, 3) = 2... | ((log(7, 5) / log(12, 3)) + 62) - 48 | 37.53454334864919 | log | 5 | 6 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: (17 / 89) + 99. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $17 / 89 = 0.19101123595505617$
2. $0.19101123595505617 + 99 = 99.1910112... | (17 / 89) + 99 | 99.19101123595506 | arithmetic | 3 | 2 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: (48 * 2**2) + 55. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $2**2 = 4$
2. $48 * 4 = 192$
3. $192 + 55 = 247$
The answer is $247... | (48 * 2**2) + 55 | 247 | power | 5 | 3 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: (11 / 98) - tan(60). This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $tan(60) = 1.7320508075688767$
2. $11 / 98 = 0.11224489795918367$
... | (11 / 98) - tan(60) | -1.619805909609693 | trig | 4 | 3 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: 3**4 / 95. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $3**4 = 81$
2. $81 / 95 = 0.8526315789473684$
The answer is $0.8526315789473... | 3**4 / 95 | 0.8526315789473684 | power | 3 | 2 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: (57 - 86) - 64. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $57 - 86 = -29$
2. $-29 - 64 = -93$
The answer is $-93$
3. Drafting the... | (57 - 86) - 64 | -93 | arithmetic | 3 | 2 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((53 / cos(180)) - 38) + 16. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $cos(180) = -1$
2. $53 / -1 = -53$
3. $-53 - 38 = -91$
4... | ((53 / cos(180)) - 38) + 16 | -375 | trig | 4 | 5 |
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