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: ((56 - 27) / 2**2) * 46. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $2**2 = 4$
2. $56 - 27 = 29$
3. $29 / 4 = 7.25$
4. $7.25 * 4... | ((56 - 27) / 2**2) * 46 | 333.5 | power | 1 | 4 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: (2 + 8) / 65. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $2 + 8 = 10$
2. $10 / 65 = 0.15384615384615385$
The answer is $0.15384615... | (2 + 8) / 65 | 0.15384615384615385 | arithmetic | 2 | 2 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: (log(23, 3) - log(46, 3)) - 2**2. 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. $log(46, 3) = 3.484... | (log(23, 3) - log(46, 3)) - 2**2 | -4.630929753571458 | mixed | 3 | 5 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((81 + 53) - 75) * 6**3. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $6**3 = 216$
2. $sin(30) = 0.49999999999999994$
3. $81 + 53 = ... | ((81 + 53) - 75) * 6**3 | 6371.999999999999 | mixed | 5 | 6 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: (sin(90) / 83) * 63. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $sin(90) = 1$
2. $1 / 83 = 0.012048192771084338$
3. $0.01204819277... | (sin(90) / 83) * 63 | 0.7590361445783133 | trig | 3 | 3 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((78 * 74) / 3**3) + sin(45). This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $3**3 = 27$
2. $sin(45) = 0.7071067811865476$
3. $78 * 74... | ((78 * 74) / 3**3) + sin(45) | 4.124709318441622 | mixed | 4 | 6 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((99 + log(42, 2)) / 3**2) / 71. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $log(42, 2) = 5.392317422778761$
2. $3**2 = 9$
3. $cbr... | ((99 + log(42, 2)) / 3**2) / 71 | -5.836631741122411 | mixed | 2 | 7 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: (15 + 21) + 64. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $15 + 21 = 36$
2. $36 + 64 = 100$
The answer is $100$
3. Drafting the r... | (15 + 21) + 64 | 100 | arithmetic | 2 | 2 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: 44 * 62. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $44 * 62 = 2728$
The answer is $2728$
3. Drafting the response: "Ответ на ваш за... | 44 * 62 | 2728 | arithmetic | 1 | 1 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: cbrt(216) * log(15, 3). 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(15, 3) = 2.46497352071792... | cbrt(216) * log(15, 3) | 14.78984112430756 | mixed | 1 | 3 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: (98 + 36) * 21. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $98 + 36 = 134$
2. $134 * 21 = 2814$
The answer is $2814$
3. Drafting t... | (98 + 36) * 21 | 2814 | arithmetic | 3 | 2 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((79 + 91) + sqrt(100)) * 98. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $sqrt(100) = 10$
2. $5**4 = 625$
3. $79 + 91 = 170$
4. ... | ((79 + 91) + sqrt(100)) * 98 | 18265 | power | 5 | 6 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((sec(30) * log(39, 5)) * 63) + cbrt(216). 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. $log(39, 5) ... | ((sec(30) * log(39, 5)) * 63) + cbrt(216) | 171.5919399355616 | mixed | 2 | 6 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: (cbrt(64) - 46) - 7. 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. $3.9999999999999996 - 46 = -42$
... | (cbrt(64) - 46) - 7 | -49 | power | 1 | 3 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: (sqrt(36) + log(43, 2)) / 15. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $sqrt(36) = 6$
2. $log(43, 2) = 5.426264754702098$
3. $6 ... | (sqrt(36) + log(43, 2)) / 15 | 0.7617509836468065 | mixed | 2 | 4 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((56 / 5**3) * cos(45)) * 68. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $5**3 = 125$
2. $cos(45) = 0.7071067811865476$
3. $tan(45... | ((56 / 5**3) * cos(45)) * 68 | 21.54130098206699 | mixed | 3 | 7 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: log(48, 3) + sin(270). This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $log(48, 3) = 3.5237190142858297$
2. $sin(270) = -1$
3. $3.52371... | log(48, 3) + sin(270) | 2.5237190142858297 | mixed | 3 | 3 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: (sec(360) + 99) - 85. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $sec(360) = 1$
2. $1 + 99 = 100$
3. $100 - 85 = 15$
The answer ... | (sec(360) + 99) - 85 | 15 | trig | 5 | 3 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((60 * 82) * 36) * cbrt(64). This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $cbrt(64) = 3.9999999999999996$
2. $60 * 82 = 4920$
3. $49... | ((60 * 82) * 36) * cbrt(64) | 708479.9999999999 | power | 4 | 4 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: (45 + log(50, 3)) / 30. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $log(50, 3) = 3.5608767950073115$
2. $45 + 3.5608767950073115 = 4... | (45 + log(50, 3)) / 30 | 1.6186958931669104 | log | 5 | 3 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: (34 + 82) / 12. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $34 + 82 = 116$
2. $116 / 12 = 9.666666666666666$
The answer is $9.6666... | (34 + 82) / 12 | 9.666666666666666 | arithmetic | 2 | 2 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((sqrt(9) - 3) * 18) / 95. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $sqrt(9) = 3$
2. $3 - 3 = 0$
3. $0 * 18 = 0$
4. $0 / 95 = ... | ((sqrt(9) - 3) * 18) / 95 | 0 | power | 3 | 4 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: (sec(60) * log(23, 10)) - log(23, 3). 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(23, 10) = 1.... | (sec(60) * log(23, 10)) - log(23, 3) | -0.1305941581650858 | mixed | 4 | 5 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((sqrt(64) + 6) + tan(45)) + 4**4. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $sqrt(64) = 8$
2. $tan(45) = 0.9999999999999999$
3. ... | ((sqrt(64) + 6) + tan(45)) + 4**4 | 271 | mixed | 4 | 6 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((cos(30) - cos(90)) - 91) - 4. 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(90) = 6.1232339957... | ((cos(30) - cos(90)) - 91) - 4 | -94.13397459621557 | trig | 4 | 5 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: (log(36, 5) * 5) / 35. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $log(36, 5) = 2.226565505118757$
2. $2.226565505118757 * 5 = 11.13... | (log(36, 5) * 5) / 35 | 0.31808078644553667 | log | 1 | 3 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((sin(30) * tan(30)) - 74) - cos(0). This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $sin(30) = 0.49999999999999994$
2. $tan(30) = 0.5773... | ((sin(30) * tan(30)) - 74) - cos(0) | -74.71132486540519 | trig | 2 | 8 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: (log(19, 2) + 89) * 89. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $log(19, 2) = 4.247927513443585$
2. $4.247927513443585 + 89 = 93.... | (log(19, 2) + 89) * 89 | 8299.065548696479 | log | 1 | 3 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: (sec(45) * 33) - 78. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $sec(45) = 1.414213562373095$
2. $1.414213562373095 * 33 = 46.669047... | (sec(45) * 33) - 78 | -31.33095244168787 | trig | 3 | 3 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((70 + 14) / sqrt(16)) * 2. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $sqrt(16) = 4$
2. $70 + 14 = 84$
3. $84 / 4 = 21$
4. $21 ... | ((70 + 14) / sqrt(16)) * 2 | 42 | power | 1 | 4 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((39 * cbrt(125)) * sec(30)) * 61. 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. $sec(30) = 1.154700... | ((39 * cbrt(125)) * sec(30)) * 61 | 13735.162904021196 | mixed | 2 | 5 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: sec(30) - sec(360). 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. $sec(360) = 1$
3. $1.154700538379... | sec(30) - sec(360) | 0.15470053837925146 | trig | 3 | 3 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((35 + 5) + tan(0)) + 20. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $tan(0) = 0$
2. $35 + 5 = 40$
3. $40 + 0 = 40$
4. $40 + 20 ... | ((35 + 5) + tan(0)) + 20 | 3480 | trig | 1 | 5 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: (cbrt(125) / 11) - 77. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $cbrt(125) = 4.999999999999999$
2. $4.999999999999999 / 11 = 0.454... | (cbrt(125) / 11) - 77 | -76.54545454545455 | power | 3 | 3 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: cos(45) / 28. 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 / 28 = 0.025253813613... | cos(45) / 28 | 0.02525381361380527 | trig | 1 | 2 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: 73 * 96. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $73 * 96 = 7008$
The answer is $7008$
3. Drafting the response: "Ответ на ваш за... | 73 * 96 | 7008 | arithmetic | 3 | 1 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: (74 * log(8, 3)) * csc(150). 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. $csc(150) = 2.00000000000... | (74 * log(8, 3)) * csc(150) | 280.1328105857271 | mixed | 2 | 4 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((cbrt(216) / sec(180)) + sqrt(64)) * 99. 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. $sec(180) = ... | ((cbrt(216) / sec(180)) + sqrt(64)) * 99 | 198.00000000000009 | mixed | 4 | 6 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: (97 + csc(60)) + cos(180). This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $csc(60) = 1.1547005383792517$
2. $cos(180) = -1$
3. $97 + 1... | (97 + csc(60)) + cos(180) | 97.15470053837925 | trig | 2 | 4 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((54 - 57) / 57) * sqrt(9). This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $sqrt(9) = 3$
2. $54 - 57 = -3$
3. $-3 / 57 = -0.0526315789... | ((54 - 57) / 57) * sqrt(9) | -0.15789473684210525 | power | 4 | 4 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((45 * cot(30)) / sec(120)) / 27. 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. $sec(120) = -2.000000... | ((45 * cot(30)) / sec(120)) / 27 | -311.7691453623978 | mixed | 4 | 7 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((log(23, 2) + 82) - 47) - 2. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $log(23, 2) = 4.523561956057013$
2. $4.523561956057013 + 82... | ((log(23, 2) + 82) - 47) - 2 | -50.47643804394299 | log | 2 | 5 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: 37 * 34. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $37 * 34 = 1258$
The answer is $1258$
3. Drafting the response: "Ответ на ваш за... | 37 * 34 | 1258 | arithmetic | 3 | 1 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: 78 - 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. $78 - 8 = 70$
The answer is $70$
3. Drafting the response: "От... | 78 - 2**3 | 70 | power | 4 | 2 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: sin(90) * cos(360). This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $sin(90) = 1$
2. $cos(360) = 1$
3. $1 * 1 = 1$
The answer is $1$
... | sin(90) * cos(360) | 1 | trig | 2 | 3 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((85 - cbrt(64)) + 2**4) - sin(45). This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $cbrt(64) = 3.9999999999999996$
2. $2**4 = 16$
3. $... | ((85 - cbrt(64)) + 2**4) - sin(45) | 96.29289321881345 | mixed | 1 | 6 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((23 - 45) / log(48, 5)) - 12. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $log(48, 5) = 2.405312426779558$
2. $5**4 = 625$
3. $23 ... | ((23 - 45) / log(48, 5)) - 12 | -0.03383427353889691 | mixed | 4 | 6 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((log(27, 2) + tan(315)) / 10) - 14. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $log(27, 2) = 4.754887502163469$
2. $tan(315) = -1.0... | ((log(27, 2) + tan(315)) / 10) - 14 | -17.62451124978365 | mixed | 3 | 7 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: 19 * 48. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $19 * 48 = 912$
The answer is $912$
3. Drafting the response: "Ответ на ваш запр... | 19 * 48 | 912 | arithmetic | 2 | 1 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: (cos(90) + cos(45)) - sec(240). 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. $cos(45) = 0.7071067... | (cos(90) + cos(45)) - sec(240) | 2.707106781186546 | trig | 2 | 5 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((log(34, 3) * 50) - sin(360)) * 31. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $log(34, 3) = 3.2098316767340234$
2. $sin(360) = -2.... | ((log(34, 3) * 50) - sin(360)) * 31 | 4975.239098937736 | mixed | 1 | 5 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: cos(90) * 24. 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. $6.123233995736766e-17 * 24 = 1.469576... | cos(90) * 24 | 1.4695761589768238e-15 | trig | 2 | 2 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((cot(45) + 99) + 24) + 78. 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(33, 2) = 5.04439411935... | ((cot(45) + 99) + 24) + 78 | 40.04445236045323 | mixed | 5 | 6 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((cot(270) / 74) - 12) + 81. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $cot(270) = 1.83697019872103e-16$
2. $log(18, 2) = 4.1699250... | ((cot(270) / 74) - 12) + 81 | 64.83007499855769 | mixed | 1 | 6 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((8 * sqrt(4)) * cbrt(8)) / 31. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $sqrt(4) = 2$
2. $cbrt(8) = 2$
3. $cos(90) = 6.12323399... | ((8 * sqrt(4)) * cbrt(8)) / 31 | 1.032258064516129 | mixed | 2 | 7 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: (95 * 85) + 84. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $95 * 85 = 8075$
2. $8075 + 84 = 8159$
The answer is $8159$
3. Drafting... | (95 * 85) + 84 | 8159 | arithmetic | 3 | 2 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: sin(90) * 43. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $sin(90) = 1$
2. $1 * 43 = 43$
The answer is $43$
3. Drafting the respons... | sin(90) * 43 | 43 | trig | 5 | 2 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: (40 * tan(45)) / log(12, 2). 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. $log(12, 2) = 3.5849625007... | (40 * tan(45)) / log(12, 2) | 11.157717826045191 | mixed | 3 | 4 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: 25 / 7. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $25 / 7 = 3.5714285714285716$
The answer is $3.5714285714285716$
3. Drafting the ... | 25 / 7 | 3.5714285714285716 | arithmetic | 2 | 1 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: (59 * 20) - 6. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $59 * 20 = 1180$
2. $1180 - 6 = 1174$
The answer is $1174$
3. Drafting t... | (59 * 20) - 6 | 1174 | arithmetic | 3 | 2 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: sec(180) * 79. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $sec(180) = -1$
2. $-1 * 79 = -79$
The answer is $-79$
3. Drafting the r... | sec(180) * 79 | -79 | trig | 5 | 2 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((sqrt(49) + log(38, 10)) / 78) - sqrt(64). This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $sqrt(49) = 7$
2. $log(38, 10) = 1.5797835966... | ((sqrt(49) + log(38, 10)) / 78) - sqrt(64) | -0.254516218529108 | mixed | 5 | 7 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((sec(360) / 88) - sin(270)) + 37. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $sec(360) = 1$
2. $sin(270) = -1$
3. $1 / 88 = 0.011... | ((sec(360) / 88) - sin(270)) + 37 | 70.01136363636363 | trig | 3 | 6 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((sin(60) * 23) - 76) - 63. 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 * 23 = ... | ((sin(60) * 23) - 76) - 63 | -119.08141571295792 | trig | 1 | 4 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((47 / 99) - 7) * 66. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $47 / 99 = 0.47474747474747475$
2. $0.47474747474747475 - 7 = -6.52... | ((47 / 99) - 7) * 66 | -430.66666666666663 | arithmetic | 5 | 3 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: (10 + 10) / 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. $10 + 10 = 20$
3. $20 / 0.707106... | (10 + 10) / sin(45) | 28.2842712474619 | trig | 5 | 3 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: 77 / 86. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $77 / 86 = 0.8953488372093024$
The answer is $0.8953488372093024$
3. Drafting th... | 77 / 86 | 0.8953488372093024 | arithmetic | 4 | 1 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((76 - 62) + 71) / 76. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $76 - 62 = 14$
2. $14 + 71 = 85$
3. $85 / 76 = 1.118421052631579... | ((76 - 62) + 71) / 76 | -11.881578947368421 | arithmetic | 3 | 4 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((8 / sqrt(49)) - 83) * cos(90). This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $sqrt(49) = 7$
2. $cos(90) = 6.123233995736766e-17$
3.... | ((8 / sqrt(49)) - 83) * cos(90) | -5.0123043993673815e-15 | mixed | 2 | 5 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((38 * sqrt(25)) * 100) / 28. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $sqrt(25) = 5$
2. $38 * 5 = 190$
3. $190 * 100 = 19000$
... | ((38 * sqrt(25)) * 100) / 28 | 11.309523809523808 | power | 4 | 5 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((62 / 37) + 71) + 56. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $62 / 37 = 1.6756756756756757$
2. $1.6756756756756757 + 71 = 72.67... | ((62 / 37) + 71) + 56 | 128.67567567567568 | arithmetic | 3 | 3 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: log(2, 2) / 42. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $log(2, 2) = 1$
2. $1 / 42 = 0.023809523809523808$
The answer is $0.023... | log(2, 2) / 42 | 0.023809523809523808 | log | 2 | 2 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: cos(0) - 38. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $cos(0) = 1$
2. $1 - 38 = -37$
The answer is $-37$
3. Drafting the respons... | cos(0) - 38 | -37 | trig | 1 | 2 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((csc(60) - cos(0)) + cbrt(216)) / cos(0). This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $csc(60) = 1.1547005383792517$
2. $cos(0) = 1$... | ((csc(60) - cos(0)) + cbrt(216)) / cos(0) | 8.15470053837925 | mixed | 4 | 9 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((cos(0) - 98) + 58) - 79. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $cos(0) = 1$
2. $1 - 98 = -97$
3. $-97 + 58 = -39$
4. $-39... | ((cos(0) - 98) + 58) - 79 | -1.6388888888888888 | trig | 3 | 5 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: (4**4 - 98) + 63. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $4**4 = 256$
2. $256 - 98 = 158$
3. $158 + 63 = 221$
The answer is ... | (4**4 - 98) + 63 | 221 | power | 3 | 3 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((72 + tan(360)) + 4**2) * 91. 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. $4**2 = 16$
3. $... | ((72 + tan(360)) + 4**2) * 91 | 7999 | mixed | 1 | 7 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: (log(20, 2) + log(21, 2)) / tan(225). 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. $log(21, 2) = 4... | (log(20, 2) + log(21, 2)) / tan(225) | 8.714245517666127 | mixed | 2 | 5 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: 10 * 35. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $10 * 35 = 350$
The answer is $350$
3. Drafting the response: "Ответ на ваш запр... | 10 * 35 | 350 | arithmetic | 5 | 1 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: (4**2 / 96) - 48. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $4**2 = 16$
2. $16 / 96 = 0.16666666666666666$
3. $0.1666666666666666... | (4**2 / 96) - 48 | -47.833333333333336 | power | 1 | 3 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((sqrt(36) * 27) - 55) * 19. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $sqrt(36) = 6$
2. $6 * 27 = 162$
3. $162 - 55 = 107$
4. ... | ((sqrt(36) * 27) - 55) * 19 | 2033 | power | 3 | 4 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((34 - 90) / 37) * log(8, 5). This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $log(8, 5) = 1.2920296742201791$
2. $tan(45) = 0.9999999999... | ((34 - 90) / 37) * log(8, 5) | -1.9555043717927039 | mixed | 2 | 6 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: (32 + 43) / 12. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $32 + 43 = 75$
2. $75 / 12 = 6.25$
The answer is $6.25$
3. Drafting the... | (32 + 43) / 12 | 6.25 | arithmetic | 4 | 2 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: (6 + 4**2) * 49. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $4**2 = 16$
2. $6 + 16 = 22$
3. $22 * 49 = 1078$
The answer is $1078... | (6 + 4**2) * 49 | 1078 | power | 2 | 3 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: cot(315) + 63. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $cot(315) = -0.9999999999999996$
2. $-0.9999999999999996 + 63 = 62$
The ... | cot(315) + 63 | 62 | trig | 1 | 2 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((47 + 29) / 27) + 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. $47 + 29 = 76$
3. $76 / ... | ((47 + 29) / 27) + sin(30) | 3.314814814814815 | trig | 3 | 4 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: (7 / 21) * 2. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $7 / 21 = 0.3333333333333333$
2. $0.3333333333333333 * 2 = 0.66666666666666... | (7 / 21) * 2 | 0.6666666666666666 | arithmetic | 3 | 2 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((43 + sin(180)) + log(7, 5)) + csc(150). 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(7, ... | ((43 + sin(180)) + log(7, 5)) + csc(150) | 46.209061955122166 | mixed | 4 | 6 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: (tan(0) * 15) / 70. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $tan(0) = 0$
2. $0 * 15 = 0$
3. $0 / 70 = 0$
The answer is $0$
3.... | (tan(0) * 15) / 70 | 0 | trig | 2 | 3 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: (23 - cbrt(27)) * 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. $23 - 3 = 20$
3. $20 * 4 = 80$
The answer is $... | (23 - cbrt(27)) * 4 | 80 | power | 5 | 3 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: (95 / 79) * 65. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $95 / 79 = 1.2025316455696202$
2. $1.2025316455696202 * 65 = 78.164556962... | (95 / 79) * 65 | 78.16455696202532 | arithmetic | 4 | 2 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: (log(3, 5) + 19) / 25. 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. $0.6826061944859854 + 19 = 19.... | (log(3, 5) + 19) / 25 | 0.7873042477794394 | log | 2 | 3 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((sin(30) + 55) - 6) - sin(0). 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. $sin(0) = 0$
3. $0.49... | ((sin(30) + 55) - 6) - sin(0) | 49.5 | trig | 1 | 5 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((14 / log(15, 3)) - sqrt(81)) / 13. 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. $sqrt(81) = 9$
... | ((14 / log(15, 3)) - sqrt(81)) / 13 | -0.25541736960377076 | mixed | 1 | 5 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((46 * 20) / 3**2) / 95. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $3**2 = 9$
2. $cbrt(8) = 2$
3. $46 * 20 = 920$
4. $920 / 9 =... | ((46 * 20) / 3**2) / 95 | 2.1520467836257313 | power | 3 | 6 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((log(16, 10) + tan(225)) - 53) / 4**4. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $log(16, 10) = 1.2041199826559246$
2. $tan(225) =... | ((log(16, 10) + tan(225)) - 53) / 4**4 | -0.1984214063177503 | mixed | 2 | 6 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: (tan(225) / sqrt(4)) - 68. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $tan(225) = 0.9999999999999997$
2. $sqrt(4) = 2$
3. $0.99999... | (tan(225) / sqrt(4)) - 68 | -67.5 | mixed | 1 | 4 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: (85 * 33) - 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. $85 * 33 = 2805$
3. $2805 - 8 = 2797$
The ans... | (85 * 33) - sqrt(64) | 2797 | power | 2 | 3 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: (70 * sin(60)) / 93. 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. $70 * 0.8660254037844386 = 60.6217... | (70 * sin(60)) / 93 | 0.6518470781173193 | trig | 4 | 3 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((96 * 71) - 31) * 2. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $96 * 71 = 6816$
2. $6816 - 31 = 6785$
3. $6785 * 2 = 13570$
Th... | ((96 * 71) - 31) * 2 | 13570 | arithmetic | 3 | 3 |
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