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: 87 / cos(360). This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $cos(360) = 1$
2. $87 / 1 = 87$
The answer is $87$
3. Drafting the respo... | 87 / cos(360) | 87 | trig | 5 | 2 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((34 + sqrt(16)) / 5**2) * 35. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $sqrt(16) = 4$
2. $5**2 = 25$
3. $34 + 4 = 38$
4. $38 ... | ((34 + sqrt(16)) / 5**2) * 35 | -45.8 | power | 2 | 6 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((79 + 20) + csc(30)) * 26. 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. $79 + 20 = 99$
3. $99 + 2... | ((79 + 20) + csc(30)) * 26 | 2626 | trig | 5 | 4 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((66 / 78) - 38) - 73. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $66 / 78 = 0.8461538461538461$
2. $0.8461538461538461 - 38 = -37.1... | ((66 / 78) - 38) - 73 | -7.343589743589744 | arithmetic | 4 | 4 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: (10 - 8) * 10. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $10 - 8 = 2$
2. $2 * 10 = 20$
The answer is $20$
3. Drafting the respons... | (10 - 8) * 10 | 20 | arithmetic | 1 | 2 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((65 + 30) / sqrt(81)) + 32. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $sqrt(81) = 9$
2. $65 + 30 = 95$
3. $95 / 9 = 10.555555555... | ((65 + 30) / sqrt(81)) + 32 | 42.55555555555556 | power | 3 | 4 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((80 * sqrt(16)) + cos(180)) / 15. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $sqrt(16) = 4$
2. $cos(180) = -1$
3. $80 * 4 = 320$
... | ((80 * sqrt(16)) + cos(180)) / 15 | -31.733333333333334 | mixed | 3 | 6 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((log(42, 10) - sqrt(4)) / 15) - 92. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $log(42, 10) = 1.6232492903979003$
2. $sqrt(4) = 2$
... | ((log(42, 10) - sqrt(4)) / 15) - 92 | -92.02511671397347 | mixed | 4 | 5 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((38 * 11) * 98) - 9. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $38 * 11 = 418$
2. $418 * 98 = 40964$
3. $40964 - 9 = 40955$
Th... | ((38 * 11) * 98) - 9 | 40955 | arithmetic | 1 | 3 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((27 + 45) - 72) - 35. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $27 + 45 = 72$
2. $72 - 72 = 0$
3. $0 - 35 = -35$
4. $-35 / 67... | ((27 + 45) - 72) - 35 | -0.5223880597014925 | arithmetic | 4 | 4 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((cot(225) + 64) * sqrt(9)) - cbrt(27). 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. $sqrt(9) = 3$
... | ((cot(225) + 64) * sqrt(9)) - cbrt(27) | 2 | mixed | 1 | 7 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: (tan(0) / 37) - 54. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $tan(0) = 0$
2. $0 / 37 = 0$
3. $0 - 54 = -54$
The answer is $-54... | (tan(0) / 37) - 54 | -54 | trig | 5 | 3 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((13 * sqrt(9)) + cbrt(8)) + 54. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $sqrt(9) = 3$
2. $cbrt(8) = 2$
3. $csc(60) = 1.1547005... | ((13 * sqrt(9)) + cbrt(8)) + 54 | 82.27241335952166 | mixed | 1 | 7 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: 42 + csc(150). This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $csc(150) = 2.0000000000000004$
2. $42 + 2.0000000000000004 = 44$
The an... | 42 + csc(150) | 44 | trig | 1 | 2 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((97 + 100) - csc(150)) * 43. 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. $sqrt(25) = 5$
3. $97 ... | ((97 + 100) - csc(150)) * 43 | 8390 | mixed | 3 | 6 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((82 - 86) + 67) * 44. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $82 - 86 = -4$
2. $-4 + 67 = 63$
3. $63 * 44 = 2772$
4. $2772 ... | ((82 - 86) + 67) * 44 | 2746 | arithmetic | 1 | 4 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((45 - cos(30)) * sec(45)) + 23. 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. $sec(45) = 1.414213562... | ((45 - cos(30)) * sec(45)) + 23 | 85.41486543539767 | trig | 5 | 5 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((tan(45) - sin(180)) + 20) * 47. 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. $sin(180) = 1.2246467... | ((tan(45) - sin(180)) + 20) * 47 | 987 | trig | 3 | 5 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: (97 + 37) - 85. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $97 + 37 = 134$
2. $134 - 85 = 49$
The answer is $49$
3. Drafting the r... | (97 + 37) - 85 | 49 | arithmetic | 5 | 2 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: (csc(150) - 37) + 65. 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. $2.0000000000000004 - 37 = -35$
... | (csc(150) - 37) + 65 | 30 | trig | 4 | 3 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: (cbrt(27) * 85) + 6**2. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $cbrt(27) = 3$
2. $6**2 = 36$
3. $3 * 85 = 255$
4. $255 + 36 ... | (cbrt(27) * 85) + 6**2 | 291 | power | 5 | 4 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: (5 / 17) - 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. $5 / 17 = 0.29411764705882354$
3. $0.29411764... | (5 / 17) - sqrt(100) | -9.705882352941176 | power | 1 | 3 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: (68 + 69) / 18. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $68 + 69 = 137$
2. $137 / 18 = 7.611111111111111$
The answer is $7.6111... | (68 + 69) / 18 | 7.611111111111111 | arithmetic | 4 | 2 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((85 + sec(360)) - cbrt(216)) / 75. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $sec(360) = 1$
2. $cbrt(216) = 5.999999999999999$
3... | ((85 + sec(360)) - cbrt(216)) / 75 | -91.93333333333334 | mixed | 5 | 6 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: (7 * 65) * 89. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $7 * 65 = 455$
2. $455 * 89 = 40495$
The answer is $40495$
3. Drafting t... | (7 * 65) * 89 | 40495 | arithmetic | 4 | 2 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((92 / sqrt(81)) * 89) + cos(270). This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $sqrt(81) = 9$
2. $cos(270) = -1.8369701987210297e-16$... | ((92 / sqrt(81)) * 89) + cos(270) | 909.7777777777777 | mixed | 2 | 5 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((6**3 * 65) / cos(60)) * 22. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $6**3 = 216$
2. $cos(60) = 0.5000000000000001$
3. $216 * ... | ((6**3 * 65) / cos(60)) * 22 | 617820.9999999999 | mixed | 3 | 6 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: (sin(0) * 72) * 4**2. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $sin(0) = 0$
2. $4**2 = 16$
3. $0 * 72 = 0$
4. $0 * 16 = 0$
T... | (sin(0) * 72) * 4**2 | 0 | mixed | 5 | 4 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: (67 - 16) * cos(180). This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $cos(180) = -1$
2. $67 - 16 = 51$
3. $51 * -1 = -51$
The answer... | (67 - 16) * cos(180) | -51 | trig | 1 | 3 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: sin(45) / 33. 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. $0.7071067811865476 / 33 = 0.021427478217... | sin(45) / 33 | 0.02142747821777417 | trig | 4 | 2 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((88 - 82) / 20) - 19. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $88 - 82 = 6$
2. $6 / 20 = 0.3$
3. $0.3 - 19 = -18.7$
The answ... | ((88 - 82) / 20) - 19 | -18.7 | arithmetic | 2 | 3 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((cos(270) / 29) + 31) / 45. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $cos(270) = -1.8369701987210297e-16$
2. $-1.8369701987210297... | ((cos(270) / 29) + 31) / 45 | 0.6888888888888889 | trig | 2 | 4 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: (tan(0) + cos(60)) * sqrt(16). This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $tan(0) = 0$
2. $cos(60) = 0.5000000000000001$
3. $sqrt(... | (tan(0) + cos(60)) * sqrt(16) | 2.0000000000000004 | mixed | 1 | 5 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((94 / 16) * 12) / csc(90). This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $csc(90) = 1$
2. $94 / 16 = 5.875$
3. $5.875 * 12 = 70.5$
... | ((94 / 16) * 12) / csc(90) | 121.5 | trig | 1 | 5 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((75 * sqrt(36)) + 70) + 69. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $sqrt(36) = 6$
2. $75 * 6 = 450$
3. $450 + 70 = 520$
4. ... | ((75 * sqrt(36)) + 70) + 69 | 42997 | power | 4 | 5 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: 59 / sec(60). 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. $59 / 1.9999999999999996 = 29.50000000000... | 59 / sec(60) | 29.500000000000007 | trig | 3 | 2 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((18 - 94) - 19) - 38. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $18 - 94 = -76$
2. $-76 - 19 = -95$
3. $-95 - 38 = -133$
4. $-... | ((18 - 94) - 19) - 38 | -1995 | arithmetic | 3 | 4 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((cbrt(8) - 76) * 85) - tan(225). This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $cbrt(8) = 2$
2. $tan(225) = 0.9999999999999997$
3. $... | ((cbrt(8) - 76) * 85) - tan(225) | -6286 | mixed | 2 | 7 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((sin(90) * log(48, 3)) / 86) / 5**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. $log(48, 3) = 3.5237190142858297$
... | ((sin(90) * log(48, 3)) / 86) / 5**4 | 6.555756305648055e-05 | mixed | 1 | 6 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((sin(90) - 30) / 32) + 38. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $sin(90) = 1$
2. $1 - 30 = -29$
3. $-29 / 32 = -0.90625$
... | ((sin(90) - 30) / 32) + 38 | 37.09375 | trig | 4 | 4 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: (100 + 72) / cot(45). 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. $100 + 72 = 172$
3. $172 / 1.00... | (100 + 72) / cot(45) | 171.99999999999997 | trig | 5 | 3 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: 9 * 4. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $9 * 4 = 36$
The answer is $36$
3. Drafting the response: "Ответ на ваш запрос в р... | 9 * 4 | 36 | arithmetic | 1 | 1 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((sin(270) - 8) - sec(180)) / sin(30). This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $sin(270) = -1$
2. $sec(180) = -1$
3. $sin(30) =... | ((sin(270) - 8) - sec(180)) / sin(30) | -25.000000000000004 | mixed | 5 | 8 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((45 * sqrt(9)) / sqrt(4)) + 52. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $sqrt(9) = 3$
2. $sqrt(4) = 2$
3. $sin(270) = -1$
4.... | ((45 * sqrt(9)) / sqrt(4)) + 52 | -119.5 | mixed | 3 | 7 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((log(12, 3) + 43) / 8) / log(22, 5). This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $log(12, 3) = 2.2618595071429146$
2. $log(22, 5) = ... | ((log(12, 3) + 43) / 8) / log(22, 5) | 2.9458570117225613 | log | 2 | 5 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: (tan(225) * sin(30)) + 5. 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. $sin(30) = 0.499999999999999... | (tan(225) * sin(30)) + 5 | 5.5 | trig | 5 | 4 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: 80 - 37. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $80 - 37 = 43$
The answer is $43$
3. Drafting the response: "Ответ на ваш запрос... | 80 - 37 | 43 | arithmetic | 2 | 1 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((93 - 65) * cbrt(216)) / 86. 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. $93 - 65 = 28$
3. $28 ... | ((93 - 65) * cbrt(216)) / 86 | 1.953488372093023 | power | 2 | 4 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: cos(90) - 59. 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. $6.123233995736766e-17 - 59 = -59$
T... | cos(90) - 59 | -59 | trig | 5 | 2 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: 81 / 16. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $81 / 16 = 5.0625$
The answer is $5.0625$
3. Drafting the response: "Ответ на ва... | 81 / 16 | 5.0625 | arithmetic | 1 | 1 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: (15 - 52) + 82. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $15 - 52 = -37$
2. $-37 + 82 = 45$
The answer is $45$
3. Drafting the r... | (15 - 52) + 82 | 45 | arithmetic | 2 | 2 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: sin(180) / 50. 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 / 50 = 2.44... | sin(180) / 50 | 2.4492935982947064e-18 | trig | 4 | 2 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((log(39, 3) + 54) * 2**4) + sec(30). 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. $2**4 = 16$
... | ((log(39, 3) + 54) * 2**4) + sec(30) | 918.5101808499439 | mixed | 4 | 6 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((tan(315) * log(27, 3)) * 11) / 25. 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. $log(27, 3) = 3$... | ((tan(315) * log(27, 3)) * 11) / 25 | -0.44000000000000017 | mixed | 5 | 7 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((60 + 32) + 70) / 32. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $60 + 32 = 92$
2. $92 + 70 = 162$
3. $162 / 32 = 5.0625$
The a... | ((60 + 32) + 70) / 32 | 5.0625 | arithmetic | 2 | 3 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((56 + 32) * cot(45)) - 47. 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. $56 + 32 = 88$
3. $88 * 1... | ((56 + 32) * cot(45)) - 47 | 41.000000000000014 | trig | 4 | 4 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((20 / 80) + 54) - 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. $20 / 80 = 0.25$
3. $0.25 + 54 = 54.25$... | ((20 / 80) + 54) - sin(270) | 55.25 | trig | 3 | 4 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((32 + 93) / 12) + cbrt(8). This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $cbrt(8) = 2$
2. $32 + 93 = 125$
3. $125 / 12 = 10.41666666... | ((32 + 93) / 12) + cbrt(8) | 12.416666666666666 | power | 5 | 4 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: (65 - 98) + 55. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $65 - 98 = -33$
2. $-33 + 55 = 22$
The answer is $22$
3. Drafting the r... | (65 - 98) + 55 | 22 | arithmetic | 3 | 2 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((32 + 68) + 37) * 3**4. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $3**4 = 81$
2. $32 + 68 = 100$
3. $100 + 37 = 137$
4. $137 *... | ((32 + 68) + 37) * 3**4 | 396.32142857142856 | power | 5 | 5 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: log(45, 2) - 4. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $log(45, 2) = 5.491853096329675$
2. $5.491853096329675 - 4 = 1.4918530963... | log(45, 2) - 4 | 1.4918530963296748 | log | 5 | 2 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((csc(90) + 42) * 72) - log(13, 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. $log(13, 2) = 3.700439718141092$
3... | ((csc(90) + 42) * 72) - log(13, 2) | 3092.2995602818587 | mixed | 2 | 5 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((83 - tan(0)) - 7) / sqrt(49). This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $tan(0) = 0$
2. $sqrt(49) = 7$
3. $83 - 0 = 83$
4. $8... | ((83 - tan(0)) - 7) / sqrt(49) | 901.1428571428572 | mixed | 5 | 6 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: 4**2 + 12. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $4**2 = 16$
2. $16 + 12 = 28$
The answer is $28$
3. Drafting the response: "... | 4**2 + 12 | 28 | power | 5 | 2 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((log(41, 10) / sec(45)) + 26) * sqrt(64). This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $log(41, 10) = 1.6127838567197355$
2. $sec(45)... | ((log(41, 10) / sec(45)) + 26) * sqrt(64) | 148.12328321339774 | mixed | 5 | 7 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((sqrt(16) - 92) + 3) / 100. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $sqrt(16) = 4$
2. $4 - 92 = -88$
3. $-88 + 3 = -85$
4. $... | ((sqrt(16) - 92) + 3) / 100 | 98.15 | power | 3 | 5 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: (78 * 49) - 35. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $78 * 49 = 3822$
2. $3822 - 35 = 3787$
The answer is $3787$
3. Drafting... | (78 * 49) - 35 | 3787 | arithmetic | 1 | 2 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((40 + 79) * 46) / 91. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $40 + 79 = 119$
2. $119 * 46 = 5474$
3. $5474 / 91 = 60.15384615... | ((40 + 79) * 46) / 91 | 60.15384615384615 | arithmetic | 2 | 3 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: (sqrt(100) / 76) / csc(30). This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $sqrt(100) = 10$
2. $csc(30) = 2.0000000000000004$
3. $10 /... | (sqrt(100) / 76) / csc(30) | 0.06578947368421051 | mixed | 1 | 4 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: (14 + 100) - 24. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $14 + 100 = 114$
2. $114 - 24 = 90$
The answer is $90$
3. Drafting the... | (14 + 100) - 24 | 90 | arithmetic | 2 | 2 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((41 - 33) * 70) - 61. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $41 - 33 = 8$
2. $8 * 70 = 560$
3. $560 - 61 = 499$
The answer... | ((41 - 33) * 70) - 61 | 499 | arithmetic | 4 | 3 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: (24 / cos(0)) / 71. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $cos(0) = 1$
2. $24 / 1 = 24$
3. $24 / 71 = 0.3380281690140845$
T... | (24 / cos(0)) / 71 | 0.3380281690140845 | trig | 3 | 3 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((sin(0) + 94) + sqrt(64)) - 40. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $sin(0) = 0$
2. $sqrt(64) = 8$
3. $0 + 94 = 94$
4. $... | ((sin(0) + 94) + sqrt(64)) - 40 | 62 | mixed | 2 | 5 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((64 / 89) / 24) - 56. 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 / 24 = 0.029... | ((64 / 89) / 24) - 56 | -55.97003745318352 | arithmetic | 5 | 3 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: (log(13, 5) + 47) - 65. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $log(13, 5) = 1.5936926411670824$
2. $1.5936926411670824 + 47 = 4... | (log(13, 5) + 47) - 65 | -16.40630735883292 | log | 5 | 3 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((84 * 92) / csc(210)) - tan(30). This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $csc(210) = -1.9999999999999996$
2. $tan(30) = 0.577350... | ((84 * 92) / csc(210)) - tan(30) | -3926.5773502691904 | trig | 5 | 6 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((50 + 38) / cos(30)) - 63. 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. $50 + 38 = 88$
3. $88 / 0... | ((50 + 38) / cos(30)) - 63 | 38.61364737737412 | trig | 1 | 4 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((19 + 28) - 24) + 3**4. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $3**4 = 81$
2. $cos(30) = 0.8660254037844387$
3. $19 + 28 = 47... | ((19 + 28) - 24) + 3**4 | 90.06664199358163 | mixed | 3 | 6 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: cbrt(8) / 81. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $cbrt(8) = 2$
2. $2 / 81 = 0.024691358024691357$
The answer is $0.0246913... | cbrt(8) / 81 | 0.024691358024691357 | power | 1 | 2 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: (39 * 29) + 66. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $39 * 29 = 1131$
2. $1131 + 66 = 1197$
The answer is $1197$
3. Drafting... | (39 * 29) + 66 | 1197 | arithmetic | 4 | 2 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((sqrt(49) * cot(60)) - 49) - 54. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $sqrt(49) = 7$
2. $cot(60) = 0.577350269189626$
3. $l... | ((sqrt(49) * cot(60)) - 49) - 54 | -32.9861827052242 | mixed | 1 | 7 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: sqrt(100) / 49. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $sqrt(100) = 10$
2. $10 / 49 = 0.20408163265306123$
The answer is $0.20... | sqrt(100) / 49 | 0.20408163265306123 | power | 3 | 2 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((sec(240) + sqrt(16)) * cbrt(125)) + 19. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $sec(240) = -1.9999999999999982$
2. $sqrt(16) =... | ((sec(240) + sqrt(16)) * cbrt(125)) + 19 | 29.000000000000007 | mixed | 4 | 6 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((sqrt(100) - cbrt(27)) + 86) - 91. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $sqrt(100) = 10$
2. $cbrt(27) = 3$
3. $10 - 3 = 7$
... | ((sqrt(100) - cbrt(27)) + 86) - 91 | 2 | power | 4 | 5 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: (csc(45) * cot(315)) * 36. 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. $cot(315) = -0.99999999999999... | (csc(45) * cot(315)) * 36 | -50.91168824543139 | trig | 1 | 4 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((5 - log(9, 5)) * cbrt(64)) - 86. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $log(9, 5) = 1.3652123889719707$
2. $cbrt(64) = 3.9999... | ((5 - log(9, 5)) * cbrt(64)) - 86 | -1.2320836130325499 | mixed | 2 | 6 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: (58 + sec(180)) + 89. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $sec(180) = -1$
2. $58 + -1 = 57$
3. $57 + 89 = 146$
The answer... | (58 + sec(180)) + 89 | 146 | trig | 2 | 3 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((3**4 - 80) - 75) - 15. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $3**4 = 81$
2. $81 - 80 = 1$
3. $1 - 75 = -74$
4. $-74 - 15 ... | ((3**4 - 80) - 75) - 15 | -89 | power | 1 | 4 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((cbrt(8) - 14) + 11) - 22. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $cbrt(8) = 2$
2. $tan(0) = 0$
3. $2 - 14 = -12$
4. $-12 +... | ((cbrt(8) - 14) + 11) - 22 | -23 | mixed | 3 | 6 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((17 / cbrt(125)) / 31) - 97. 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. $cos(270) = -1.836970198... | ((17 / cbrt(125)) / 31) - 97 | 1.7798463512511242e-14 | mixed | 5 | 6 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: 58 - sqrt(4). This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $sqrt(4) = 2$
2. $58 - 2 = 56$
The answer is $56$
3. Drafting the respons... | 58 - sqrt(4) | 56 | power | 2 | 2 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: (82 - 3**3) - 9. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $3**3 = 27$
2. $82 - 27 = 55$
3. $55 - 9 = 46$
The answer is $46$
3.... | (82 - 3**3) - 9 | 46 | power | 3 | 3 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((31 - sqrt(64)) - log(35, 3)) / 5**3. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $sqrt(64) = 8$
2. $log(35, 3) = 3.236217269879349$... | ((31 - sqrt(64)) - log(35, 3)) / 5**3 | 0.15811026184096522 | mixed | 2 | 6 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((30 / 5**2) + 99) + csc(30). This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $5**2 = 25$
2. $csc(30) = 2.0000000000000004$
3. $30 / 25... | ((30 / 5**2) + 99) + csc(30) | 102.2 | mixed | 4 | 5 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: (5**2 * tan(0)) / 44. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $5**2 = 25$
2. $tan(0) = 0$
3. $25 * 0 = 0$
4. $0 / 44 = 0$
T... | (5**2 * tan(0)) / 44 | 0 | mixed | 4 | 4 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: (98 * 57) - 4. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $98 * 57 = 5586$
2. $5586 - 4 = 5582$
The answer is $5582$
3. Drafting t... | (98 * 57) - 4 | 5582 | arithmetic | 4 | 2 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((sqrt(9) * sqrt(81)) / 5) * 23. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $sqrt(9) = 3$
2. $sqrt(81) = 9$
3. $3 * 9 = 27$
4. $... | ((sqrt(9) * sqrt(81)) / 5) * 23 | 124.2 | power | 4 | 5 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: 5 * sin(90). This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $sin(90) = 1$
2. $5 * 1 = 5$
The answer is $5$
3. Drafting the response: "... | 5 * sin(90) | 5 | trig | 3 | 2 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: 88 + 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. $88 + 10 = 98$
The answer is $98$
3. Drafting the r... | 88 + sqrt(100) | 98 | power | 5 | 2 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: (37 - 30) + 95. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $37 - 30 = 7$
2. $7 + 95 = 102$
The answer is $102$
3. Drafting the res... | (37 - 30) + 95 | 102 | arithmetic | 1 | 2 |
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