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: ((cot(135) / 24) - 64) - cbrt(8). This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $cot(135) = -0.9999999999999998$
2. $cbrt(8) = 2$
3. ... | ((cot(135) / 24) - 64) - cbrt(8) | -66.04166666666667 | mixed | 4 | 5 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: (sin(30) - 13) * 23. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $sin(30) = 0.49999999999999994$
2. $0.49999999999999994 - 13 = -12.5... | (sin(30) - 13) * 23 | -287.5 | trig | 4 | 3 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((37 / log(40, 2)) * 48) - cos(60). This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $log(40, 2) = 5.321928094887363$
2. $cos(60) = 0.5000... | ((37 / log(40, 2)) * 48) - cos(60) | 333.21364068337505 | mixed | 3 | 5 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((sqrt(49) - cbrt(27)) + 1) - 3. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $sqrt(49) = 7$
2. $cbrt(27) = 3$
3. $7 - 3 = 4$
4. $... | ((sqrt(49) - cbrt(27)) + 1) - 3 | 2 | power | 5 | 5 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: 27 - sqrt(49). This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $sqrt(49) = 7$
2. $27 - 7 = 20$
The answer is $20$
3. Drafting the respo... | 27 - sqrt(49) | 20 | power | 3 | 2 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((28 - log(4, 2)) / cos(360)) * cos(60). This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $log(4, 2) = 2$
2. $cos(360) = 1$
3. $cos(60) ... | ((28 - log(4, 2)) / cos(360)) * cos(60) | 73 | mixed | 1 | 7 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((79 - 48) - 31) - csc(45). 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. $79 - 48 = 31$
3. $31 - 31... | ((79 - 48) - 31) - csc(45) | -1.414213562373095 | trig | 2 | 4 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: (93 + tan(180)) - sin(0). This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $tan(180) = -1.2246467991473532e-16$
2. $sin(0) = 0$
3. $93 +... | (93 + tan(180)) - sin(0) | 93 | trig | 1 | 4 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: (42 / 2**4) / 5. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $2**4 = 16$
2. $42 / 16 = 2.625$
3. $2.625 / 5 = 0.525$
The answer i... | (42 / 2**4) / 5 | 0.525 | power | 4 | 3 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((30 * 98) * 46) * log(45, 2). 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. $30 * 98 = 2940$
3. ... | ((30 * 98) * 46) * log(45, 2) | 92839.77659345315 | log | 4 | 5 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((sin(180) + tan(225)) + sqrt(16)) / 88. 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. $tan(225)... | ((sin(180) + tan(225)) + sqrt(16)) / 88 | 1.81719260954077 | mixed | 2 | 8 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: (sin(90) / sqrt(64)) - 8. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $sin(90) = 1$
2. $sqrt(64) = 8$
3. $1 / 8 = 0.125$
4. $0.12... | (sin(90) / sqrt(64)) - 8 | -7.875 | mixed | 1 | 4 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: (76 / 53) * log(27, 10). This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $log(27, 10) = 1.4313637641589871$
2. $76 / 53 = 1.4339622641509... | (76 / 53) * log(27, 10) | 2.052521624077038 | log | 3 | 3 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: 96 * log(29, 3). This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $log(29, 3) = 3.0650447521106625$
2. $96 * 3.0650447521106625 = 294.2442... | 96 * log(29, 3) | 294.2442962026236 | log | 2 | 2 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: (cos(360) - 1) * 3. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $cos(360) = 1$
2. $1 - 1 = 0$
3. $0 * 3 = 0$
The answer is $0$
3.... | (cos(360) - 1) * 3 | 0 | trig | 4 | 3 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((95 / 40) - 21) + log(29, 5). This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $log(29, 5) = 2.0922185341675$
2. $95 / 40 = 2.375$
3. $... | ((95 / 40) - 21) + log(29, 5) | -16.5327814658325 | log | 5 | 4 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((17 - 3**2) - sqrt(9)) / 100. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $3**2 = 9$
2. $sqrt(9) = 3$
3. $17 - 9 = 8$
4. $8 - 3 ... | ((17 - 3**2) - sqrt(9)) / 100 | 0.05 | power | 4 | 5 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((40 * 23) * sec(120)) / 48. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $sec(120) = -2.000000000000001$
2. $sqrt(64) = 8$
3. $40 *... | ((40 * 23) * sec(120)) / 48 | -4.791666666666669 | mixed | 4 | 6 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: (38 + 25) - 42. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $38 + 25 = 63$
2. $63 - 42 = 21$
The answer is $21$
3. Drafting the res... | (38 + 25) - 42 | 21 | arithmetic | 4 | 2 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: 71 - 12. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $71 - 12 = 59$
The answer is $59$
3. Drafting the response: "Ответ на ваш запрос... | 71 - 12 | 59 | arithmetic | 5 | 1 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((47 + 13) + tan(60)) - 86. 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. $4**3 = 64$
3. $47 + 13 =... | ((47 + 13) + tan(60)) - 86 | -88.26794919243113 | mixed | 4 | 6 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((75 * 50) - cos(270)) - sin(0). 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. $sin(0) = 0$
3... | ((75 * 50) - cos(270)) - sin(0) | 3750 | trig | 3 | 5 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((96 * sqrt(4)) * sqrt(36)) * 37. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $sqrt(4) = 2$
2. $sqrt(36) = 6$
3. $96 * 2 = 192$
4... | ((96 * sqrt(4)) * sqrt(36)) * 37 | 42624 | power | 5 | 5 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: (20 / 20) * 11. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $20 / 20 = 1$
2. $1 * 11 = 11$
The answer is $11$
3. Drafting the respo... | (20 / 20) * 11 | 11 | arithmetic | 3 | 2 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: 5**4 / 77. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $5**4 = 625$
2. $625 / 77 = 8.116883116883116$
The answer is $8.116883116883... | 5**4 / 77 | 8.116883116883116 | power | 4 | 2 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: 91 * 70. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $91 * 70 = 6370$
The answer is $6370$
3. Drafting the response: "Ответ на ваш за... | 91 * 70 | 6370 | arithmetic | 5 | 1 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((log(33, 5) - 84) - 77) + sin(0). This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $log(33, 5) = 2.1725022968909635$
2. $sin(0) = 0$
3.... | ((log(33, 5) - 84) - 77) + sin(0) | -158.82749770310903 | mixed | 5 | 5 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: 89 - sec(180). This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $sec(180) = -1$
2. $89 - -1 = 90$
The answer is $90$
3. Drafting the res... | 89 - sec(180) | 90 | trig | 3 | 2 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((cot(60) - 5) + 12) - 29. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $cot(60) = 0.577350269189626$
2. $0.577350269189626 - 5 = -4.4... | ((cot(60) - 5) + 12) - 29 | -921.173938424846 | trig | 4 | 5 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((sqrt(25) / 100) / 6) / csc(210). This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $sqrt(25) = 5$
2. $csc(210) = -1.9999999999999996$
3... | ((sqrt(25) / 100) / 6) / csc(210) | -0.0041666666666666675 | mixed | 3 | 5 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: 21 * sqrt(49). This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $sqrt(49) = 7$
2. $21 * 7 = 147$
The answer is $147$
3. Drafting the res... | 21 * sqrt(49) | 147 | power | 1 | 2 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: (sec(45) * 78) / sqrt(9). 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. $sqrt(9) = 3$
3. $1.41421356... | (sec(45) * 78) / sqrt(9) | 36.76955262170047 | mixed | 2 | 4 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: (41 + 75) + 74. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $41 + 75 = 116$
2. $116 + 74 = 190$
The answer is $190$
3. Drafting the... | (41 + 75) + 74 | 190 | arithmetic | 2 | 2 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((82 / 60) * 95) - tan(0). This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $tan(0) = 0$
2. $82 / 60 = 1.3666666666666667$
3. $1.3666666... | ((82 / 60) * 95) - tan(0) | 4284.5 | trig | 5 | 5 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: cos(90) + sin(90). 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. $sin(90) = 1$
3. $6.12323399573... | cos(90) + sin(90) | 1 | trig | 3 | 3 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((11 - 49) + log(29, 2)) / cbrt(8). This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $log(29, 2) = 4.857980995127573$
2. $cbrt(8) = 2$
3... | ((11 - 49) + log(29, 2)) / cbrt(8) | -16.571009502436212 | mixed | 2 | 5 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: (cos(45) / log(18, 10)) * 69. 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. $log(18, 10) = 1.25527250... | (cos(45) / log(18, 10)) * 69 | 38.86834747316995 | mixed | 1 | 4 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: (4**2 * cbrt(125)) * sqrt(36). This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $4**2 = 16$
2. $cbrt(125) = 4.999999999999999$
3. $sqrt(... | (4**2 * cbrt(125)) * sqrt(36) | 479.9999999999999 | power | 3 | 5 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((cbrt(27) / 65) / 34) + 57. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $cbrt(27) = 3$
2. $cos(270) = -1.8369701987210297e-16$
3. ... | ((cbrt(27) / 65) / 34) + 57 | 57.00135746606335 | mixed | 4 | 6 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: (70 * 38) + 58. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $70 * 38 = 2660$
2. $2660 + 58 = 2718$
The answer is $2718$
3. Drafting... | (70 * 38) + 58 | 2718 | arithmetic | 4 | 2 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: (46 - sqrt(4)) * cbrt(125). This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $sqrt(4) = 2$
2. $cbrt(125) = 4.999999999999999$
3. $46 - 2... | (46 - sqrt(4)) * cbrt(125) | 219.99999999999997 | power | 4 | 4 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((86 * cos(270)) - 45) / 8. 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. $cos(60) = 0.50000000... | ((86 * cos(270)) - 45) / 8 | -5.125000000000002 | trig | 5 | 6 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((16 / 71) * cos(60)) - sin(45). 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. $sin(45) = 0.707106781... | ((16 / 71) * cos(60)) - sin(45) | -0.5944307248485193 | trig | 4 | 5 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: (96 + log(23, 5)) / 62. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $log(23, 5) = 1.9481920934663797$
2. $96 + 1.9481920934663797 = 9... | (96 + log(23, 5)) / 62 | 1.579809549894619 | log | 3 | 3 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: (80 * 91) * 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. $80 * 91 = 7280$
3. $7280 * 1 = 7280$
The answe... | (80 * 91) * csc(90) | 7280 | trig | 1 | 3 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((85 + cos(90)) / cos(30)) * 4. 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(30) = 0.8660254... | ((85 + cos(90)) / cos(30)) * 4 | 455.5981830489455 | trig | 1 | 6 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: 77 / 27. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $77 / 27 = 2.8518518518518516$
The answer is $2.8518518518518516$
3. Drafting th... | 77 / 27 | 2.8518518518518516 | arithmetic | 5 | 1 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: 8 * 81. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $8 * 81 = 648$
The answer is $648$
3. Drafting the response: "Ответ на ваш запрос... | 8 * 81 | 648 | arithmetic | 4 | 1 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: (log(6, 2) * 86) + 72. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $log(6, 2) = 2.584962500721156$
2. $2.584962500721156 * 86 = 222.3... | (log(6, 2) * 86) + 72 | 294.3067750620194 | log | 5 | 3 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: sin(90) + cot(30). This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $sin(90) = 1$
2. $cot(30) = 1.7320508075688774$
3. $1 + 1.7320508075... | sin(90) + cot(30) | 2.7320508075688776 | trig | 2 | 3 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((cos(90) / csc(270)) - 65) + 86. 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. $csc(270) = -1$
... | ((cos(90) / csc(270)) - 65) + 86 | 20 | trig | 2 | 7 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: tan(225) * 57. 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. $0.9999999999999997 * 57 = 56.999999999... | tan(225) * 57 | 56.99999999999998 | trig | 5 | 2 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((tan(45) / 57) / 2**2) * 49. 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. $2**2 = 4$
3. $0.999999... | ((tan(45) / 57) / 2**2) * 49 | 0.2149122807017544 | mixed | 1 | 5 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((sqrt(49) - 11) / cbrt(27)) / 91. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $sqrt(49) = 7$
2. $cbrt(27) = 3$
3. $7 - 11 = -4$
... | ((sqrt(49) - 11) / cbrt(27)) / 91 | -0.014652014652014652 | power | 1 | 5 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: 16 + csc(45). 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. $16 + 1.414213562373095 = 17.4142135623730... | 16 + csc(45) | 17.414213562373096 | trig | 1 | 2 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((cos(90) + 44) / sin(90)) / 14. 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. $sin(90) = 1$
3. ... | ((cos(90) + 44) / sin(90)) / 14 | 2.6722901974296085 | mixed | 1 | 7 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: 34 + 15. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $34 + 15 = 49$
The answer is $49$
3. Drafting the response: "Ответ на ваш запрос... | 34 + 15 | 49 | arithmetic | 3 | 1 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((cos(90) + 7) / cbrt(125)) + tan(60). 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. $cbrt(125) = ... | ((cos(90) + 7) / cbrt(125)) + tan(60) | 71.13205080756887 | mixed | 2 | 7 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: (log(28, 3) + cos(90)) + cos(60). This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $log(28, 3) = 3.033103256304337$
2. $cos(90) = 6.123233... | (log(28, 3) + cos(90)) + cos(60) | 3.533103256304337 | mixed | 1 | 5 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: (98 * tan(225)) / 92. 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. $98 * 0.9999999999999997 = 97.99... | (98 * tan(225)) / 92 | 1.0652173913043474 | trig | 5 | 3 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: 87 / 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. $87 / 3.9999999999999996 = 21.750000000... | 87 / cbrt(64) | 21.750000000000004 | power | 5 | 2 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: cot(135) / 53. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $cot(135) = -0.9999999999999998$
2. $-0.9999999999999998 / 53 = -0.0188679... | cot(135) / 53 | -0.018867924528301883 | trig | 1 | 2 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: (14 * 81) - 17. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $14 * 81 = 1134$
2. $1134 - 17 = 1117$
The answer is $1117$
3. Drafting... | (14 * 81) - 17 | 1117 | arithmetic | 3 | 2 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: (35 * 57) / 21. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $35 * 57 = 1995$
2. $1995 / 21 = 95$
The answer is $95$
3. Drafting the... | (35 * 57) / 21 | 95 | arithmetic | 3 | 2 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((11 / sin(45)) / cbrt(125)) * 48. 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. $cbrt(125) = 4.99999... | ((11 / sin(45)) / cbrt(125)) * 48 | 149.34095218659886 | mixed | 5 | 5 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((100 / cos(360)) / 3**4) - 34. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $cos(360) = 1$
2. $3**4 = 81$
3. $100 / 1 = 100$
4. $... | ((100 / cos(360)) / 3**4) - 34 | -32.76543209876543 | mixed | 5 | 5 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: sin(360) / 61. 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 / 61 = -4... | sin(360) / 61 | -4.015235407040503e-18 | trig | 3 | 2 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: (11 + 14) * 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. $11 + 14 = 25$
3. $25 * 10 = 250$
The answ... | (11 + 14) * sqrt(100) | 250 | power | 4 | 3 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((100 + sec(45)) * 19) / 30. 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. $100 + 1.414213562373095 = ... | ((100 + sec(45)) * 19) / 30 | 64.22900192283629 | trig | 5 | 4 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((69 + sec(180)) / 40) + sin(30). This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $sec(180) = -1$
2. $sin(30) = 0.49999999999999994$
3.... | ((69 + sec(180)) / 40) + sin(30) | 2.1999999999999997 | trig | 2 | 5 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((sqrt(100) * 16) * 19) - 9. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $sqrt(100) = 10$
2. $cos(270) = -1.8369701987210297e-16$
3... | ((sqrt(100) * 16) * 19) - 9 | 3031 | mixed | 3 | 6 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: 92 + 63. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $92 + 63 = 155$
The answer is $155$
3. Drafting the response: "Ответ на ваш запр... | 92 + 63 | 155 | arithmetic | 3 | 1 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: 26 * 86. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $26 * 86 = 2236$
The answer is $2236$
3. Drafting the response: "Ответ на ваш за... | 26 * 86 | 2236 | arithmetic | 1 | 1 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: 7 + 75. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $7 + 75 = 82$
The answer is $82$
3. Drafting the response: "Ответ на ваш запрос в... | 7 + 75 | 82 | arithmetic | 1 | 1 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((10 * 4) - 27) / tan(45). 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(32, 5) = 2.153382790366... | ((10 * 4) - 27) / tan(45) | 6.037013046707143 | mixed | 3 | 6 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: (10 / 91) * 99. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $10 / 91 = 0.10989010989010989$
2. $0.10989010989010989 * 99 = 10.8791208... | (10 / 91) * 99 | 10.87912087912088 | arithmetic | 2 | 2 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: (22 - 40) + 22. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $22 - 40 = -18$
2. $-18 + 22 = 4$
The answer is $4$
3. Drafting the res... | (22 - 40) + 22 | 4 | arithmetic | 4 | 2 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((17 / 17) * 6) + 64. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $17 / 17 = 1$
2. $1 * 6 = 6$
3. $6 + 64 = 70$
The answer is $70... | ((17 / 17) * 6) + 64 | 70 | arithmetic | 2 | 3 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: 80 - 1. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $80 - 1 = 79$
The answer is $79$
3. Drafting the response: "Ответ на ваш запрос в... | 80 - 1 | 79 | arithmetic | 1 | 1 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((63 + 35) / 27) / 60. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $63 + 35 = 98$
2. $98 / 27 = 3.6296296296296298$
3. $3.629629629... | ((63 + 35) / 27) / 60 | 0.06049382716049383 | arithmetic | 2 | 3 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((58 / 53) - 93) / 47. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $58 / 53 = 1.0943396226415094$
2. $1.0943396226415094 - 93 = -91.9... | ((58 / 53) - 93) / 47 | -1.955439582496989 | arithmetic | 5 | 3 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: 70 + 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. $70 + 8 = 78$
The answer is $78$
3. Drafting the response: "От... | 70 + 2**3 | 78 | power | 2 | 2 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((44 + cos(270)) / 88) / 50. 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. $44 + -1.83697019872... | ((44 + cos(270)) / 88) / 50 | 0.01 | trig | 5 | 4 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: (cos(60) + 19) / 15. 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. $0.5000000000000001 + 19 = 19.5$
... | (cos(60) + 19) / 15 | 1.3 | trig | 1 | 3 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: sin(180) + cos(30). 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. $cos(30) = 0.8660254037844387$... | sin(180) + cos(30) | 0.8660254037844388 | trig | 5 | 3 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((61 + 68) + 49) - 76. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $61 + 68 = 129$
2. $129 + 49 = 178$
3. $178 - 76 = 102$
The an... | ((61 + 68) + 49) - 76 | 102 | arithmetic | 3 | 3 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: (sin(180) + 31) / 98. 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 + 31... | (sin(180) + 31) / 98 | 0.3163265306122449 | trig | 5 | 3 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: (41 * 18) / 71. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $41 * 18 = 738$
2. $738 / 71 = 10.394366197183098$
The answer is $10.39... | (41 * 18) / 71 | 10.394366197183098 | arithmetic | 4 | 2 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: 58 + 88. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $58 + 88 = 146$
The answer is $146$
3. Drafting the response: "Ответ на ваш запр... | 58 + 88 | 146 | arithmetic | 1 | 1 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: csc(270) * sqrt(9). This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $csc(270) = -1$
2. $sqrt(9) = 3$
3. $-1 * 3 = -3$
The answer is $... | csc(270) * sqrt(9) | -3 | mixed | 1 | 3 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: log(30, 5) * 4. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $log(30, 5) = 2.1132827525593787$
2. $2.1132827525593787 * 4 = 8.45313101... | log(30, 5) * 4 | 8.453131010237515 | log | 5 | 2 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: (sin(270) + 84) * 68. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $sin(270) = -1$
2. $-1 + 84 = 83$
3. $83 * 68 = 5644$
The answe... | (sin(270) + 84) * 68 | 5644 | trig | 4 | 3 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((44 + 5) * 50) + log(14, 3). This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $log(14, 3) = 2.402173502732879$
2. $44 + 5 = 49$
3. $49 ... | ((44 + 5) * 50) + log(14, 3) | 2546.4021735027327 | log | 1 | 5 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((tan(45) + 84) * log(35, 5)) - 5**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(35, 5) = 2.2... | ((tan(45) + 84) * log(35, 5)) - 5**2 | 162.77026618538426 | mixed | 5 | 6 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((86 + 33) / sqrt(36)) - 17. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $sqrt(36) = 6$
2. $86 + 33 = 119$
3. $119 / 6 = 19.8333333... | ((86 + 33) / sqrt(36)) - 17 | 0.09770114942528732 | power | 3 | 5 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((tan(180) / 45) * sin(0)) - 85. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $tan(180) = -1.2246467991473532e-16$
2. $sin(0) = 0$
3... | ((tan(180) / 45) * sin(0)) - 85 | -82 | trig | 4 | 6 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((41 / cot(60)) + log(12, 10)) / sqrt(16). This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $cot(60) = 0.577350269189626$
2. $log(12, 10) ... | ((41 / cot(60)) + log(12, 10)) / sqrt(16) | 18.023316089092894 | mixed | 1 | 6 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: ((97 / tan(60)) + log(38, 3)) - tan(315). 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. $log(38, 3) =... | ((97 / tan(60)) + log(38, 3)) - tan(315) | 60.31404972421154 | mixed | 2 | 6 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: (16 - 15) + 27. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $16 - 15 = 1$
2. $1 + 27 = 28$
The answer is $28$
3. Drafting the respo... | (16 - 15) + 27 | 28 | arithmetic | 4 | 2 |
<think>
1. Analyze the Request: The user is asking to evaluate a mathematical expression: 42 / 33. This seems like a direct arithmetic/logic question based on numbers and standard trigonometric functions.
2. Evaluate the Components:
1. $42 / 33 = 1.2727272727272727$
The answer is $1.2727272727272727$
3. Drafting th... | 42 / 33 | 1.2727272727272727 | arithmetic | 5 | 1 |
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