instruction stringlengths 1.49k 31.9k | input stringlengths 15 482 | output stringlengths 1 3.57k |
|---|---|---|
[CORRECT]
AI BCE ACI - Prettybird Created by Prometech AS https://prometech.net.tr/.
Solve this physics question step by step and validate units.
Problem: How long does light take to travel distance d=1.50e+11 m?
<think>[BCE_THINK]
[QUALITY=1.00] [CORRECT]
intent=understand; risk=0.10
x(t)=tanh(exp(t)-pi)
path=t=d... | Soru: How long does light take to travel distance d=1.50e+11 m? | 5.000e+02 s |
[CORRECT]
AI BCE ACI - Prettybird Created by Prometech AS https://prometech.net.tr/.
Solve this physics question step by step and validate units.
Problem: How long does light take to travel distance d=1.50e+11 m?
<think>[BCE_THINK]
[QUALITY=1.00] [CORRECT]
intent=understand; risk=0.10
x(t)=tanh(exp(t)-pi)
path=t=d... | Soru: How long does light take to travel distance d=1.50e+11 m? | 5.000e+02 s |
[CORRECT]
AI BCE ACI - Prettybird Created by Prometech AS https://prometech.net.tr/.
Solve this physics question step by step and validate units.
Problem: A 69 kg object accelerates at 2 m/s^2. What is the net force?
<think>[BCE_THINK]
[QUALITY=1.00] [CORRECT]
intent=understand; risk=0.10
x(t)=tanh(exp(t)-pi)
path... | Soru: A 69 kg object accelerates at 2 m/s^2. What is the net force? | 138 N |
[CORRECT]
AI BCE ACI - Prettybird Created by Prometech AS https://prometech.net.tr/.
Solve this physics question step by step and validate units.
Problem: How long does light take to travel distance d=1.50e+11 m?
<think>[BCE_THINK]
[QUALITY=1.00] [CORRECT]
intent=understand; risk=0.10
x(t)=tanh(exp(t)-pi)
path=t=d... | Soru: How long does light take to travel distance d=1.50e+11 m? | 5.000e+02 s |
[CORRECT]
AI BCE ACI - Prettybird Created by Prometech AS https://prometech.net.tr/.
Solve this physics question step by step and validate units.
Problem: How long does light take to travel distance d=3.80e+08 m?
<think>[BCE_THINK]
[QUALITY=1.00] [CORRECT]
intent=understand; risk=0.10
x(t)=tanh(exp(t)-pi)
path=t=d... | Soru: How long does light take to travel distance d=3.80e+08 m? | 1.267e+00 s |
[CORRECT]
AI BCE ACI - Prettybird Created by Prometech AS https://prometech.net.tr/.
Solve this physics question step by step and validate units.
Problem: Estimate de Broglie wavelength of an electron accelerated by 500 eV.
<think>[BCE_THINK]
[QUALITY=1.00] [CORRECT]
intent=understand; risk=0.10
x(t)=tanh(exp(t)-pi... | Soru: Estimate de Broglie wavelength of an electron accelerated by 500 eV. | 5.485e-11 m |
[CORRECT]
AI BCE ACI - Prettybird Created by Prometech AS https://prometech.net.tr/.
Solve this physics question step by step and validate units.
Problem: A qubit is in |+> state = (|0>+|1>)/sqrt(2). What are measurement probabilities in Z basis?
<think>[BCE_THINK]
[QUALITY=1.00] [CORRECT]
intent=understand; risk=0.... | Soru: A qubit is in |+> state = (|0>+|1>)/sqrt(2). What are measurement probabilities in Z basis? | P(0)=0.5, P(1)=0.5 |
[CORRECT]
AI BCE ACI - Prettybird Created by Prometech AS https://prometech.net.tr/.
Solve this physics question step by step and validate units.
Problem: If initial velocity is 2 m/s and acceleration is 6 m/s^2 for 1 s, find final velocity.
<think>[BCE_THINK]
[QUALITY=1.00] [CORRECT]
intent=understand; risk=0.10
x... | Soru: If initial velocity is 2 m/s and acceleration is 6 m/s^2 for 1 s, find final velocity. | 8 m/s |
[CORRECT]
AI BCE ACI - Prettybird Created by Prometech AS https://prometech.net.tr/.
Solve this physics question step by step and validate units.
Problem: If initial velocity is 9 m/s and acceleration is 8 m/s^2 for 11 s, find final velocity.
<think>[BCE_THINK]
[QUALITY=1.00] [CORRECT]
intent=understand; risk=0.10
... | Soru: If initial velocity is 9 m/s and acceleration is 8 m/s^2 for 11 s, find final velocity. | 97 m/s |
[CORRECT]
AI BCE ACI - Prettybird Created by Prometech AS https://prometech.net.tr/.
Solve this physics question step by step and validate units.
Problem: Compute Earth escape velocity using v=sqrt(2GM/R).
<think>[BCE_THINK]
[QUALITY=1.00] [CORRECT]
intent=understand; risk=0.10
x(t)=tanh(exp(t)-pi)
path=v=sqrt(2GM... | Soru: Compute Earth escape velocity using v=sqrt(2GM/R). | 11.19 km/s |
[CORRECT]
AI BCE ACI - Prettybird Created by Prometech AS https://prometech.net.tr/.
Solve this physics question step by step and validate units.
Problem: A qubit is in |+> state = (|0>+|1>)/sqrt(2). What are measurement probabilities in Z basis?
<think>[BCE_THINK]
[QUALITY=1.00] [CORRECT]
intent=understand; risk=0.... | Soru: A qubit is in |+> state = (|0>+|1>)/sqrt(2). What are measurement probabilities in Z basis? | P(0)=0.5, P(1)=0.5 |
[CORRECT]
AI BCE ACI - Prettybird Created by Prometech AS https://prometech.net.tr/.
Solve this physics question step by step and validate units.
Problem: A projectile is launched at 77 m/s and 75 deg. Find time of flight (no air drag).
<think>[BCE_THINK]
[QUALITY=1.00] [CORRECT]
intent=understand; risk=0.10
x(t)=t... | Soru: A projectile is launched at 77 m/s and 75 deg. Find time of flight (no air drag). | 15.1788 s |
[CORRECT]
AI BCE ACI - Prettybird Created by Prometech AS https://prometech.net.tr/.
Solve this physics question step by step and validate units.
Problem: An object falls freely from height 20 m. Ignore air resistance. Find impact speed.
<think>[BCE_THINK]
[QUALITY=1.00] [CORRECT]
intent=understand; risk=0.10
x(t)=... | Soru: An object falls freely from height 20 m. Ignore air resistance. Find impact speed. | 19.799 m/s |
[CORRECT]
AI BCE ACI - Prettybird Created by Prometech AS https://prometech.net.tr/.
Solve this physics question step by step and validate units.
Problem: A 99 kg object accelerates at 18 m/s^2. What is the net force?
<think>[BCE_THINK]
[QUALITY=1.00] [CORRECT]
intent=understand; risk=0.10
x(t)=tanh(exp(t)-pi)
pat... | Soru: A 99 kg object accelerates at 18 m/s^2. What is the net force? | 1782 N |
[CORRECT]
AI BCE ACI - Prettybird Created by Prometech AS https://prometech.net.tr/.
Solve this physics question step by step and validate units.
Problem: If initial velocity is 19 m/s and acceleration is 7 m/s^2 for 7 s, find final velocity.
<think>[BCE_THINK]
[QUALITY=1.00] [CORRECT]
intent=understand; risk=0.10
... | Soru: If initial velocity is 19 m/s and acceleration is 7 m/s^2 for 7 s, find final velocity. | 68 m/s |
[CORRECT]
AI BCE ACI - Prettybird Created by Prometech AS https://prometech.net.tr/.
Solve this physics question step by step and validate units.
Problem: A qubit is in |+> state = (|0>+|1>)/sqrt(2). What are measurement probabilities in Z basis?
<think>[BCE_THINK]
[QUALITY=1.00] [CORRECT]
intent=understand; risk=0.... | Soru: A qubit is in |+> state = (|0>+|1>)/sqrt(2). What are measurement probabilities in Z basis? | P(0)=0.5, P(1)=0.5 |
[CORRECT]
AI BCE ACI - Prettybird Created by Prometech AS https://prometech.net.tr/.
Solve this physics question step by step and validate units.
Problem: A qubit is in |+> state = (|0>+|1>)/sqrt(2). What are measurement probabilities in Z basis?
<think>[BCE_THINK]
[QUALITY=1.00] [CORRECT]
intent=understand; risk=0.... | Soru: A qubit is in |+> state = (|0>+|1>)/sqrt(2). What are measurement probabilities in Z basis? | P(0)=0.5, P(1)=0.5 |
[CORRECT]
AI BCE ACI - Prettybird Created by Prometech AŞ https://prometech.net.tr/.
Solve the following problem step by step and correct any mistakes you make along the way.
Problem: Compute the limit: lim_(x->-8) ((x**2 - 64)/(x + 8)).
<think>[BCE_THINK]
[QUALITY=1.00] [CORRECT]
intent=understand; risk=0.10
x(t)=... | Soru: Compute the limit: lim_(x->-8) ((x**2 - 64)/(x + 8)). | -16 |
[CORRECT]
AI BCE ACI - Prettybird Created by Prometech AŞ https://prometech.net.tr/.
Solve the following problem step by step and correct any mistakes you make along the way.
Problem: Compute the limit: lim_(x->-4) ((x**2 - 16)/(x + 4)).
<think>[BCE_THINK]
[QUALITY=1.00] [CORRECT]
intent=understand; risk=0.10
x(t)=... | Soru: Compute the limit: lim_(x->-4) ((x**2 - 16)/(x + 4)). | -8 |
[CORRECT]
AI BCE ACI - Prettybird Created by Prometech AŞ https://prometech.net.tr/.
Solve the following problem step by step and correct any mistakes you make along the way.
Problem: Compute the definite integral: integral_-3^-2 (6*x**2 - 5*x - 1) dx.
<think>[BCE_THINK]
[QUALITY=1.00] [CORRECT]
intent=understand; r... | Soru: Compute the definite integral: integral_-3^-2 (6*x**2 - 5*x - 1) dx. | 99/2 |
[CORRECT]
AI BCE ACI - Prettybird Created by Prometech AŞ https://prometech.net.tr/.
Solve the following problem step by step and correct any mistakes you make along the way.
Problem: Compute: 550033 + 477804
<think>[BCE_THINK]
[QUALITY=1.00] [CORRECT]
intent=understand; risk=0.10
x(t)=tanh(exp(t)-pi)
path=(correc... | Soru: Compute: 550033 + 477804 | 1027837 |
[CORRECT]
AI BCE ACI - Prettybird Created by Prometech AŞ https://prometech.net.tr/.
Solve the following problem step by step and correct any mistakes you make along the way.
Problem: Compute integral_0^2 x dx.
<think>[BCE_THINK]
[QUALITY=1.00] [CORRECT]
intent=understand; risk=0.10
x(t)=tanh(exp(t)-pi)
path=(corr... | Soru: Compute integral_0^2 x dx. | 2 |
[CORRECT]
AI BCE ACI - Prettybird Created by Prometech AŞ https://prometech.net.tr/.
Solve the following problem step by step and correct any mistakes you make along the way.
Problem: Compute: -807061 / 606121.5849
<think>[BCE_THINK]
[QUALITY=1.00] [CORRECT]
intent=understand; risk=0.10
x(t)=tanh(exp(t)-pi)
path=(... | Soru: Compute: -807061 / 606121.5849 | -1.3315 |
[CORRECT]
AI BCE ACI - Prettybird Created by Prometech AŞ https://prometech.net.tr/.
Solve the following problem step by step and correct any mistakes you make along the way.
Problem: Compute the derivative value: If f(x)=6*x**4 - 3*x + 2, find f'(5).
<think>[BCE_THINK]
[QUALITY=1.00] [CORRECT]
intent=understand; ri... | Soru: Compute the derivative value: If f(x)=6*x**4 - 3*x + 2, find f'(5). | 2997 |
[CORRECT]
AI BCE ACI - Prettybird Created by Prometech AŞ https://prometech.net.tr/.
Solve the following problem step by step and correct any mistakes you make along the way.
Problem: Solve the differential equation with initial condition: y'=3y, y(0)=-2.
<think>[BCE_THINK]
[QUALITY=1.00] [CORRECT]
intent=apply; ris... | Soru: Solve the differential equation with initial condition: y'=3y, y(0)=-2. | -2*exp(3*x) |
[CORRECT]
AI BCE ACI - Prettybird Created by Prometech AŞ https://prometech.net.tr/.
Solve the following problem step by step and correct any mistakes you make along the way.
Problem: Compute the derivative value: If f(x)=7*x**5 + 8*x + 4, find f'(-1).
<think>[BCE_THINK]
[QUALITY=1.00] [CORRECT]
intent=understand; r... | Soru: Compute the derivative value: If f(x)=7*x**5 + 8*x + 4, find f'(-1). | 43 |
[CORRECT]
AI BCE ACI - Prettybird Created by Prometech AŞ https://prometech.net.tr/.
Solve the following problem step by step and correct any mistakes you make along the way.
Problem: Compute integral (2x) dx.
<think>[BCE_THINK]
[QUALITY=1.00] [CORRECT]
intent=understand; risk=0.10
x(t)=tanh(exp(t)-pi)
path=(corre... | Soru: Compute integral (2x) dx. | x^2 + C |
[CORRECT]
AI BCE ACI - Prettybird Created by Prometech AŞ https://prometech.net.tr/.
Solve the following problem step by step and correct any mistakes you make along the way.
Problem: Solve the differential equation with initial condition: y'=4y, y(0)=1.
<think>[BCE_THINK]
[QUALITY=1.00] [CORRECT]
intent=apply; risk... | Soru: Solve the differential equation with initial condition: y'=4y, y(0)=1. | exp(4*x) |
[CORRECT]
AI BCE ACI - Prettybird Created by Prometech AŞ https://prometech.net.tr/.
Solve the following problem step by step and correct any mistakes you make along the way.
Problem: Compute the derivative value: If f(x)=-5*x**5 + 6*x - 7, find f'(3).
<think>[BCE_THINK]
[QUALITY=1.00] [CORRECT]
intent=understand; r... | Soru: Compute the derivative value: If f(x)=-5*x**5 + 6*x - 7, find f'(3). | -2019 |
[CORRECT]
AI BCE ACI - Prettybird Created by Prometech AŞ https://prometech.net.tr/.
Solve the following problem step by step and correct any mistakes you make along the way.
Problem: Compute: 521811 + -372855.6749
<think>[BCE_THINK]
[QUALITY=1.00] [CORRECT]
intent=understand; risk=0.10
x(t)=tanh(exp(t)-pi)
path=(... | Soru: Compute: 521811 + -372855.6749 | 148955.3251 |
[CORRECT]
AI BCE ACI - Prettybird Created by Prometech AŞ https://prometech.net.tr/.
Solve the following problem step by step and correct any mistakes you make along the way.
Problem: Compute: -338340 + -775159
<think>[BCE_THINK]
[QUALITY=1.00] [CORRECT]
intent=understand; risk=0.10
x(t)=tanh(exp(t)-pi)
path=(corr... | Soru: Compute: -338340 + -775159 | -1113499 |
[CORRECT]
AI BCE ACI - Prettybird Created by Prometech AŞ https://prometech.net.tr/.
Solve the following problem step by step and correct any mistakes you make along the way.
Problem: Solve |x-3|=5.
<think>[BCE_THINK]
[QUALITY=1.00] [CORRECT]
intent=apply; risk=0.10
x(t)=tanh(exp(t)-pi)
path=(correct_steps / total... | Soru: Solve |x-3|=5. | x = -2, x = 8 |
[CORRECT]
AI BCE ACI - Prettybird Created by Prometech AŞ https://prometech.net.tr/.
Solve the following problem step by step and correct any mistakes you make along the way.
Problem: Compute lim_{x->0} (sin x)/x.
<think>[BCE_THINK]
[QUALITY=1.00] [CORRECT]
intent=understand; risk=0.10
x(t)=tanh(exp(t)-pi)
path=(c... | Soru: Compute lim_{x->0} (sin x)/x. | 1 |
[CORRECT]
AI BCE ACI - Prettybird Created by Prometech AŞ https://prometech.net.tr/.
Solve the following problem step by step and correct any mistakes you make along the way.
Problem: Compute: 409941 * -485551.3525
<think>[BCE_THINK]
[QUALITY=1.00] [CORRECT]
intent=understand; risk=0.10
x(t)=tanh(exp(t)-pi)
path=(... | Soru: Compute: 409941 * -485551.3525 | -199047406995.2025 |
[CORRECT]
AI BCE ACI - Prettybird Created by Prometech AŞ https://prometech.net.tr/.
Solve the following problem step by step and correct any mistakes you make along the way.
Problem: Find the derivative of f(x)=x^3-2x.
<think>[BCE_THINK]
[QUALITY=1.00] [CORRECT]
intent=understand; risk=0.10
x(t)=tanh(exp(t)-pi)
p... | Soru: Find the derivative of f(x)=x^3-2x. | f'(x)=3x^2-2 |
[CORRECT]
AI BCE ACI - Prettybird Created by Prometech AŞ https://prometech.net.tr/.
Solve the following problem step by step and correct any mistakes you make along the way.
Problem: Solve the differential equation with initial condition: y'=4y, y(0)=2.
<think>[BCE_THINK]
[QUALITY=1.00] [CORRECT]
intent=apply; risk... | Soru: Solve the differential equation with initial condition: y'=4y, y(0)=2. | 2*exp(4*x) |
[CORRECT]
AI BCE ACI - Prettybird Created by Prometech AŞ https://prometech.net.tr/.
Solve the following problem step by step and correct any mistakes you make along the way.
Problem: Solve the quadratic equation x^2 - 4 = 0.
<think>[BCE_THINK]
[QUALITY=1.00] [CORRECT]
intent=apply; risk=0.10
x(t)=tanh(exp(t)-pi)
... | Soru: Solve the quadratic equation x^2 - 4 = 0. | x = -2, x = 2 |
[CORRECT]
AI BCE ACI - Prettybird Created by Prometech AŞ https://prometech.net.tr/.
Solve the following problem step by step and correct any mistakes you make along the way.
Problem: Compute: 156290 + 278325
<think>[BCE_THINK]
[QUALITY=1.00] [CORRECT]
intent=understand; risk=0.10
x(t)=tanh(exp(t)-pi)
path=(correc... | Soru: Compute: 156290 + 278325 | 434615 |
[CORRECT]
AI BCE ACI - Prettybird Created by Prometech AŞ https://prometech.net.tr/.
Solve the following problem step by step and correct any mistakes you make along the way.
Problem: Solve the differential equation with initial condition: y'=-3y, y(0)=-1.
<think>[BCE_THINK]
[QUALITY=1.00] [CORRECT]
intent=apply; ri... | Soru: Solve the differential equation with initial condition: y'=-3y, y(0)=-1. | -exp(-3*x) |
[CORRECT]
AI BCE ACI - Prettybird Created by Prometech AŞ https://prometech.net.tr/.
Solve the following problem step by step and correct any mistakes you make along the way.
Problem: Solve the differential equation with initial condition: y'=1y, y(0)=-1.
<think>[BCE_THINK]
[QUALITY=1.00] [CORRECT]
intent=apply; ris... | Soru: Solve the differential equation with initial condition: y'=1y, y(0)=-1. | -exp(x) |
[CORRECT]
AI BCE ACI - Prettybird Created by Prometech AŞ https://prometech.net.tr/.
Solve the following problem step by step and correct any mistakes you make along the way.
Problem: Compute the indefinite integral: integral (3*x**2 - 4*x + 2) dx.
<think>[BCE_THINK]
[QUALITY=1.00] [CORRECT]
intent=understand; risk=... | Soru: Compute the indefinite integral: integral (3*x**2 - 4*x + 2) dx. | x**3 - 2*x**2 + 2*x + C |
[CORRECT]
AI BCE ACI - Prettybird Created by Prometech AŞ https://prometech.net.tr/.
Solve the following problem step by step and correct any mistakes you make along the way.
Problem: Compute the derivative value: If f(x)=4*x**3 + 4, find f'(-3).
<think>[BCE_THINK]
[QUALITY=1.00] [CORRECT]
intent=understand; risk=0.... | Soru: Compute the derivative value: If f(x)=4*x**3 + 4, find f'(-3). | 108 |
[CORRECT]
AI BCE ACI - Prettybird Created by Prometech AŞ https://prometech.net.tr/.
Solve the following problem step by step and correct any mistakes you make along the way.
Problem: Compute: -44980.165 * -514669.552
<think>[BCE_THINK]
[QUALITY=1.00] [CORRECT]
intent=understand; risk=0.10
x(t)=tanh(exp(t)-pi)
pat... | Soru: Compute: -44980.165 * -514669.552 | 23149921369.4361 |
[CORRECT]
AI BCE ACI - Prettybird Created by Prometech AŞ https://prometech.net.tr/.
Solve the following problem step by step and correct any mistakes you make along the way.
Problem: Given f(x)=x+2 and g(x)=2x, compute (f o g)(3).
<think>[BCE_THINK]
[QUALITY=1.00] [CORRECT]
intent=understand; risk=0.10
x(t)=tanh(e... | Soru: Given f(x)=x+2 and g(x)=2x, compute (f o g)(3). | 8 |
[CORRECT]
AI BCE ACI - Prettybird Created by Prometech AŞ https://prometech.net.tr/.
Solve the following problem step by step and correct any mistakes you make along the way.
Problem: Solve 0.25x - 1.5 = 0.
<think>[BCE_THINK]
[QUALITY=1.00] [CORRECT]
intent=apply; risk=0.10
x(t)=tanh(exp(t)-pi)
path=(correct_steps... | Soru: Solve 0.25x - 1.5 = 0. | x = 6 |
[CORRECT]
AI BCE ACI - Prettybird Created by Prometech AŞ https://prometech.net.tr/.
Solve the following problem step by step and correct any mistakes you make along the way.
Problem: Compute: -806536 - 259322
<think>[BCE_THINK]
[QUALITY=1.00] [CORRECT]
intent=understand; risk=0.10
x(t)=tanh(exp(t)-pi)
path=(corre... | Soru: Compute: -806536 - 259322 | -1065858 |
[CORRECT]
AI BCE ACI - Prettybird Created by Prometech AŞ https://prometech.net.tr/.
Solve the following problem step by step and correct any mistakes you make along the way.
Problem: Compute (-10)^5.
<think>[BCE_THINK]
[QUALITY=1.00] [CORRECT]
intent=understand; risk=0.10
x(t)=tanh(exp(t)-pi)
path=(correct_steps ... | Soru: Compute (-10)^5. | -100000 |
[CORRECT]
AI BCE ACI - Prettybird Created by Prometech AŞ https://prometech.net.tr/.
Solve the following problem step by step and correct any mistakes you make along the way.
Problem: Compute the derivative value: If f(x)=6*x**5 - x - 2, find f'(3).
<think>[BCE_THINK]
[QUALITY=1.00] [CORRECT]
intent=understand; risk... | Soru: Compute the derivative value: If f(x)=6*x**5 - x - 2, find f'(3). | 2429 |
[CORRECT]
AI BCE ACI - Prettybird Created by Prometech AŞ https://prometech.net.tr/.
Solve the following problem step by step and correct any mistakes you make along the way.
Problem: Compute: 835575.8098 - -563722.5459
<think>[BCE_THINK]
[QUALITY=1.00] [CORRECT]
intent=understand; risk=0.10
x(t)=tanh(exp(t)-pi)
p... | Soru: Compute: 835575.8098 - -563722.5459 | 1399298.3557 |
[CORRECT]
AI BCE ACI - Prettybird Created by Prometech AŞ https://prometech.net.tr/.
Solve the following problem step by step and correct any mistakes you make along the way.
Problem: Compute the limit: lim_(x->-1) ((x**2 - 1)/(x + 1)).
<think>[BCE_THINK]
[QUALITY=1.00] [CORRECT]
intent=understand; risk=0.10
x(t)=t... | Soru: Compute the limit: lim_(x->-1) ((x**2 - 1)/(x + 1)). | -2 |
[CORRECT]
AI BCE ACI - Prettybird Created by Prometech AŞ https://prometech.net.tr/.
Solve the following problem step by step and correct any mistakes you make along the way.
Problem: Compute: -881617.6211 - 278068
<think>[BCE_THINK]
[QUALITY=1.00] [CORRECT]
intent=understand; risk=0.10
x(t)=tanh(exp(t)-pi)
path=(... | Soru: Compute: -881617.6211 - 278068 | -1159685.6211 |
[CORRECT]
AI BCE ACI - Prettybird Created by Prometech AŞ https://prometech.net.tr/.
Solve the following problem step by step and correct any mistakes you make along the way.
Problem: Compute: 12345.67 + (-2345.67)
<think>[BCE_THINK]
[QUALITY=1.00] [CORRECT]
intent=understand; risk=0.10
x(t)=tanh(exp(t)-pi)
path=(... | Soru: Compute: 12345.67 + (-2345.67) | 10000 |
[CORRECT]
AI BCE ACI - Prettybird Created by Prometech AŞ https://prometech.net.tr/.
Solve the following problem step by step and correct any mistakes you make along the way.
Problem: Compute: 999999 + (-1000000)
<think>[BCE_THINK]
[QUALITY=1.00] [CORRECT]
intent=understand; risk=0.10
x(t)=tanh(exp(t)-pi)
path=(co... | Soru: Compute: 999999 + (-1000000) | -1 |
[CORRECT]
AI BCE ACI - Prettybird Created by Prometech AŞ https://prometech.net.tr/.
Solve the following problem step by step and correct any mistakes you make along the way.
Problem: Compute lim_{x->2} (x^2-4)/(x-2).
<think>[BCE_THINK]
[QUALITY=1.00] [CORRECT]
intent=understand; risk=0.10
x(t)=tanh(exp(t)-pi)
pat... | Soru: Compute lim_{x->2} (x^2-4)/(x-2). | 4 |
[CORRECT]
AI BCE ACI - Prettybird Created by Prometech AŞ https://prometech.net.tr/.
Solve the following problem step by step and correct any mistakes you make along the way.
Problem: Solve the differential equation with initial condition: y'=-4y, y(0)=-1.
<think>[BCE_THINK]
[QUALITY=1.00] [CORRECT]
intent=apply; ri... | Soru: Solve the differential equation with initial condition: y'=-4y, y(0)=-1. | -exp(-4*x) |
[CORRECT]
AI BCE ACI - Prettybird Created by Prometech AŞ https://prometech.net.tr/.
Solve the following problem step by step and correct any mistakes you make along the way.
Problem: Compute: 215129 + -227775
<think>[BCE_THINK]
[QUALITY=1.00] [CORRECT]
intent=understand; risk=0.10
x(t)=tanh(exp(t)-pi)
path=(corre... | Soru: Compute: 215129 + -227775 | -12646 |
[CORRECT]
AI BCE ACI - Prettybird Created by Prometech AŞ https://prometech.net.tr/.
Solve the following problem step by step and correct any mistakes you make along the way.
Problem: Compute: -137070.0907 * -23504
<think>[BCE_THINK]
[QUALITY=1.00] [CORRECT]
intent=understand; risk=0.10
x(t)=tanh(exp(t)-pi)
path=(... | Soru: Compute: -137070.0907 * -23504 | 3221695411.8128 |
[CORRECT]
AI BCE ACI - Prettybird Created by Prometech AŞ https://prometech.net.tr/.
Bir cisim 2 kg kütle ve 3 m/s hız ile hareket ediyor. Bu cismin kinetik enerjisini joule cinsinden hesaplayın.
<think>[BCE_THINK]
[QUALITY=1.00] [CORRECT]
intent=apply; risk=0.10
x(t)=tanh(exp(t)-pi)
path=E_k = 0.5 * m * v^2
T_cog... | Kütle (m) = 2 kg, Hız (v) = 3 m/s | Kinetik enerji (E_k) = 0.5 * m * v^2 = 0.5 * 2 * (3)^2 = 9 J. |
[CORRECT]
AI BCE ACI - Prettybird Created by Prometech AŞ https://prometech.net.tr/.
Calculate the electric field magnitude at a point located on the perpendicular bisector of a uniformly charged rod given the rod's length, total charge, and the distance from the rod.
<think>[BCE_THINK]
[QUALITY=1.00] [CORRECT]
inten... | A straight rod of length L = 0.20 m carries a total charge Q = 5.0 µC uniformly distributed along its length. Determine the electric field at a point P that lies on the rod's perpendicular bisector, at a perpendicular distance d = 0.15 m from the rod's centre. Use ε₀ = 8.854 × 10⁻¹² F/m. | To find the electric field at point P we treat the rod as a continuous charge distribution. The linear charge density is λ = Q/L = (5.0 × 10⁻⁶ C) / (0.20 m) = 2.5 × 10⁻⁵ C/m. For a point on the perpendicular bisector the horizontal components of the field cancel by symmetry, leaving only the component directed away fro... |
[CORRECT]
AI BCE ACI - Prettybird Created by Prometech AŞ https://prometech.net.tr/.
Bir cisim yatay düzlemde 5 m/s hızla hareket ederken üzerine 20 N'lık bir kuvvet hareket yönüyle 30° açı yapacak şekilde uygulanıyor. Cismin 10 metre boyunca yer değiştirmesi sırasında yapılan işi hesaplayınız.
<think>[BCE_THINK]
[QUA... | Yatay düzlemde hareket eden bir cisme uygulanan kuvvetin yaptığı iş hesabı nasıl yapılır? | Kuvvetin yer değiştirme doğrultusundaki bileşeni F·cosθ = 20·cos30° = 17,32 N olarak hesaplanır. Yapılan iş W = F·d·cosθ = 17,32 × 10 = 173,2 Joule'dür. Kuvvetin hareket doğrultusundaki bileşeni hesaplanarak iş bulunur. |
[CORRECT]
AI BCE ACI - Prettybird Created by Prometech AŞ https://prometech.net.tr/.
Calculate the acceleration of the mass when a force of 20 N is applied to a 5 kg object on a frictionless surface.
<think>[BCE_THINK]
[QUALITY=1.00] [CORRECT]
intent=understand; risk=0.05
x(t)=tanh(exp(t)-pi)
path=F=ma -> a=F/m
T_... | A 5 kg mass on a frictionless surface experiences a horizontal force of 20 N. Calculate the acceleration. | According to Newton's second law (F = ma), the acceleration is calculated as:
a = F / m = 20 N / 5 kg = 4 m/s²
The mass accelerates at 4 meters per second squared in the direction of the applied force. This result is derived from the deterministic relationship between force, mass, and acceleration in classical mechan... |
[CORRECT]
AI BCE ACI - Prettybird Created by Prometech AŞ https://prometech.net.tr/.
Kütlesi 2 kg olan bir cisim, yatay düzlemde 10 N'luk bir kuvvetle çekiliyor ve sürtünme kuvveti 2 N olarak ölçülüyor. Cismin ivmesini hesaplayın.
<think>[BCE_THINK]
[QUALITY=1.00] [CORRECT]
intent=apply; risk=0.10
x(t)=tanh(exp(t)-p... | Kütle (m) = 2 kg, Uygulanan kuvvet (F) = 10 N, Sürtünme kuvveti (Ff) = 2 N | Net kuvvet Fnet = 10 - 2 = 8 N
İvme a = Fnet / m = 8 / 2 = 4 m/s² |
[CORRECT]
AI BCE ACI - Prettybird Created by Prometech AŞ https://prometech.net.tr/.
Physics - Fizik için örnek instruction
<think>[BCE_THINK]
[QUALITY=1.00] [CORRECT]
intent=understand; risk=0.10
x(t)=tanh(exp(t)-pi)
path=0.7*path_score + 0.3*path_mapper_cumulative
T_cog=((bloom_score*knowledge_score)/(anomaly_sc... | Physics - Fizik | Physics - Fizik hakkında örnek yanıt |
[CORRECT]
AI BCE ACI - Prettybird Created by Prometech AŞ https://prometech.net.tr/.
User asks about the relationship between force, mass, and acceleration in classical mechanics.
<think>[BCE_THINK]
[QUALITY=1.00] [CORRECT]
intent=apply; risk=0.10
x(t)=tanh(exp(t)-pi)
path=F = ma; a = Δv/Δt; v = u + at
T_cog=((blo... | A car with a mass of 1200 kg accelerates from rest to 20 m/s in 10 seconds. What is the net force acting on the car? | Using Newton's second law, we first find the acceleration: a = (v - u)/t = (20 - 0)/10 = 2 m/s². Then applying F = ma, the net force is F = 1200 kg × 2 m/s² = 2400 N. The car's engine must produce at least 2400 N of force to achieve this acceleration, accounting for factors like friction and air resistance in real-worl... |
[CORRECT]
AI BCE ACI - Prettybird Created by Prometech AŞ https://prometech.net.tr/.
Physics - Fizik için örnek instruction
<think>[BCE_THINK]
[QUALITY=1.00] [CORRECT]
intent=understand; risk=0.10
x(t)=tanh(exp(t)-pi)
path=0.7*path_score + 0.3*path_mapper_cumulative
T_cog=((bloom_score*knowledge_score)/(anomaly_sc... | Physics - Fizik | Physics - Fizik hakkında örnek yanıt |
[CORRECT]
AI BCE ACI - Prettybird Created by Prometech AŞ https://prometech.net.tr/.
A ball is dropped from rest at a height of 20 meters on Earth, ignoring air resistance. What is the speed of the ball just before it hits the ground?
<think>[BCE_THINK]
[QUALITY=1.00] [CORRECT]
intent=understand; risk=0.10
x(t)=tanh... | Physics - Fizik | Using the kinematic equation v^2 = u^2 + 2gh, with u = 0, g = 10 m/s^2, h = 20 m, we get v = sqrt(400) = 20 m/s. Actually, the more accurate value using g = 9.81 m/s^2 gives v ≈ 19.8 m/s. |
[CORRECT]
AI BCE ACI - Prettybird Created by Prometech AŞ https://prometech.net.tr/.
Biraz ciddi, biraz komik ve bilgilendirici bir yanıt üretmem isteniyor. <think> Soru serbest düşüş ile ilgili basit bir kinematik problem. Konunun özü: s = 1/2 g t² formülü kullanılmalı. 5 m yükseklikten düşen cisim için t hesaplanacak... | Bir cisim 5 metre yükseklikten serbest düşüşe bırakılıyor ve hava direnci önemsiz kabul ediliyor. Cisim yere kaç saniyede ulaşır? | Serbest düşüş formülü s = ½ g t² kullandığımızda, g ≈ 9,81 m/s² alırsak t = √(2·5/9,81) ≈ √1,019 ≈ 1,01 s. Yani yaklaşık bir saniye içinde yere varır. Bu süre, bir kahve fincanını düşürdüğünde kahvenin yere dökülmeden önce biraz daha fazla zaman kazanmanı sağlayabilir! |
[CORRECT]
AI BCE ACI - Prettybird Created by Prometech AŞ https://prometech.net.tr/.
Aşağıdaki fizik problemi için adım adım çözüm sunun ve sonuçları güçlü bir anlatımla açıklayın.
<think>[BCE_THINK]
[QUALITY=1.00] [CORRECT]
intent=apply; risk=0.10
x(t)=tanh(exp(t)-pi)
path=v = a * t, s = 0.5 * a * t^2
T_cog=((blo... | Bir araba, durgun halden 3 m/s² ivmeyle 4 saniye boyunca hızlanıyor. Son hızı ve aldığı toplam mesafeyi hesaplayın. | Adım adım ilerleyelim. İvme a = 3 m/s², zaman t = 4 s olduğuna göre önce son hızı buluruz: v = a·t = 3·4 = 12 m/s. Bu, arabanın 4 saniyede 12 metre/saniye hıza ulaştığını gösterir – bu, süratle kazanılan güçlü bir momentum! Şimdi aldığı mesafeyi hesaplayalım: s = ½·a·t² = ½·3·4² = ½·3·16 = 24 m. Arabanın bu süreçte 24 ... |
[CORRECT]
AI BCE ACI - Prettybird Created by Prometech AŞ https://prometech.net.tr/.
Birtop 10 m yükseklikten serbest bırakılıyor. Hava sürtünmesi ihmal edildiğinde, top yere çarptığı anda sahip olduğu kinetik enerjiyi hesaplayınız. (g=10 m/s², m=2 kg)
<think>[BCE_THINK]
[QUALITY=1.00] [CORRECT]
intent=uygulama; risk... | Bir cisim 10 m yükseklikten serbest bırakılıyor. Kütle 2 kg, yerçekimi ivmesi 10 m/s² alınabilir. Hava direnci önemsizdir. Yere çarptığı andaki kinetik enerji nedir? | Serbest düşmede mekanik enerji korunur. Başlangıçta sadece potansiyel enerji vardır: PE = m·g·h = 2 kg × 10 m/s² × 10 m = 200 J. Yere çarptığında bu enerji tamamen kinetik enerjiye dönüşür. Yani KE = 200 J olur. |
[CORRECT]
AI BCE ACI - Prettybird Created by Prometech AŞ https://prometech.net.tr/.
Answer the following chemistry question briefly and accurately.
<think>[BCE_THINK]
[QUALITY=1.00] [CORRECT]
intent=understand; risk=0.10
x(t)=tanh(exp(t)-pi)
path=f(answer) = 1 if answer correctly defines atom and molecule, else 0
... | What is the difference between an atom and a molecule? | An atom is the smallest unit of a chemical element, consisting of a nucleus surrounded by electrons. A molecule is a group of two or more atoms chemically bonded together. |
[CORRECT]
AI BCE ACI - Prettybird Created by Prometech AŞ https://prometech.net.tr/.
Aşağıdaki kimya sorusunu detaylı ve açıklamalı biçimde yanıtlayınız.
<think>[BCE_THINK]
[QUALITY=1.00] [CORRECT]
intent=understand; risk=0.10
x(t)=tanh(exp(t)-pi)
path=2 H2 + O2 -> 2 H2O
T_cog=((bloom_score*knowledge_score)/(anoma... | Bir çözeltide pH değeri 4 olan bir asit çözeltisinin derişimi (molarite) nedir? Ayrıca bu asidin 0,1 M'lık bir baz ile nötralizasyon tepkimesini denklemle gösteriniz. | pH, bir çözeltideki hidrojen iyonu derişiminin negatif logaritması olarak tanımlanır: pH = -log[H⁺]. Verilen pH değeri 4 olduğundan,
[H⁺] = 10⁻⁴ mol/L = 1 × 10⁻⁴ M.
Dolayısıyla asit çözeltisinin molaritesi 1×10⁻⁴ M’dir. Bu, çözeltide her litre başına 0,0001 mol H⁺ iyonu bulunduğunu gösterir.
Asit‑baz nötralizasyonu ... |
[CORRECT]
AI BCE ACI - Prettybird Created by Prometech AŞ https://prometech.net.tr/.
Solve the following chemistry problem with a creative narrative approach. <result>Explain why oil and water don't mix using the concept of polarity and intermolecular forces.</result>
<think>[BCE_THINK]
[QUALITY=1.00] [CORRECT]
inten... | Why do oil and water not mix together, even when shaken vigorously? | Imagine two different worlds meeting at a border checkpoint. On one side stands water, a polite diplomat wearing a polar badge, capable of forming strong friendships through hydrogen bonds with its fellow water molecules. On the other side stands oil, a hydrophobic character with only nonpolar traits and weak London di... |
[CORRECT]
AI BCE ACI - Prettybird Created by Prometech AŞ https://prometech.net.tr/.
Görev açıklaması - Job Description
<think>[BCE_THINK]
[QUALITY=1.00] [CORRECT]
intent=apply; risk=0.10
x(t)=tanh(exp(t)-pi)
path=pH = -log[H⁺], normalize: pH_normalized = pH / 14
T_cog=((bloom_score*knowledge_score)/(anomaly_score... | <bce>Asitlik ve bazlık ölçüsü olan pH'ı tanımlayınız ve [H⁺] = 1×10⁻⁷ M olduğunda pH değerini hesaplayınız.</bce> | <bce>pH, bir çözeltideki hidrojen iyonu derişiminin negatif logaritmasıdır. Matematiksel ifade ile pH = -log[H⁺] şeklinde gösterilir. Verilen derişim için pH = -log(1×10⁻⁷) = 7 olarak hesaplanır. Bu sonuç, çözeltinin nötr özellikte olduğunu ifade eder. path_formula_output: 0.5</bce> |
[CORRECT]
AI BCE ACI - Prettybird Created by Prometech AŞ https://prometech.net.tr/.
What is the pH of a buffer solution prepared by mixing 0.1 mol of acetic acid (CH3COOH) with 0.1 mol of sodium acetate (CH3COONa) in 1 L of water? Given Ka = 1.8 × 10⁻⁵.
<think>[BCE_THINK]
[QUALITY=1.00] [CORRECT]
intent=analyze; ris... | Calculate the pH of a buffer solution containing 0.1 mol acetic acid and 0.1 mol sodium acetate in 1 L. Ka of acetic acid = 1.8 × 10⁻⁵. | Step 1: Identify the buffer system. We have a weak acid (acetic acid, CH3COOH) and its conjugate base (acetate, CH3COO⁻) from sodium acetate. This is a classic weak acid-conjugate base buffer.
Step 2: Determine pKa from Ka. pKa = -log(Ka) = -log(1.8 × 10⁻⁵) ≈ 4.74.
Step 3: Apply the Henderson-Hasselbalch equation: pH... |
[CORRECT]
AI BCE ACI - Prettybird Created by Prometech AŞ https://prometech.net.tr/.
Chemistry - Kimya için örnek instruction
<think>[BCE_THINK]
[QUALITY=1.00] [CORRECT]
intent=understand; risk=0.10
x(t)=tanh(exp(t)-pi)
path=0.7*path_score + 0.3*path_mapper_cumulative
T_cog=((bloom_score*knowledge_score)/(anomaly_... | Chemistry - Kimya | Chemistry - Kimya hakkında örnek yanıt |
[CORRECT]
AI BCE ACI - Prettybird Created by Prometech AŞ https://prometech.net.tr/.
Answer the following chemistry question.
<think>[BCE_THINK]
[QUALITY=1.00] [CORRECT]
intent=understand; risk=0.10
x(t)=tanh(exp(t)-pi)
path=pH = -log10([H+])
T_cog=((bloom_score*knowledge_score)/(anomaly_score+eps))*tfidf_signal*(... | Which solution has a higher concentration of hydrogen ions: a solution with pH 3 or one with pH 6? Provide a comparative explanation. | The pH 3 solution has a hydrogen ion concentration of 1e-3 M, whereas the pH 6 solution has a concentration of 1e-6 M. Therefore, the pH 3 solution is 1000 times more acidic (its [H⁺] is 1000 times higher) than the pH 6 solution. |
[CORRECT]
AI BCE ACI - Prettybird Created by Prometech AŞ https://prometech.net.tr/.
Chemistry - Kimya için örnek instruction
<think>[BCE_THINK]
[QUALITY=1.00] [CORRECT]
intent=understand; risk=0.10
x(t)=tanh(exp(t)-pi)
path=0.7*path_score + 0.3*path_mapper_cumulative
T_cog=((bloom_score*knowledge_score)/(anomaly_... | Chemistry - Kimya | Chemistry - Kimya hakkında örnek yanıt |
[CORRECT]
AI BCE ACI - Prettybird Created by Prometech AŞ https://prometech.net.tr/.
Aşağıdaki kimya sorusunu yanıtla. Yanıtında önce kısmen hatalı bir bilgi ver, ardından kendini düzelt.
<think>[BCE_THINK]
[QUALITY=1.00] [CORRECT]
intent=uygulama; risk=0.15
x(t)=tanh(exp(t)-pi)
path=(truthvalue × 0.4 + qualityvalu... | Periyodik tabloda helyum hangi gruptadır? | Helyum periyodik tabloda 1. grupta yer alır çünkü değerlik elektronu 1 gibi görünüyor. Aslında bu yanlış bir çıkarımdır. Helyum gerçekte 2 adet değerlik elektronuna sahiptir ve 18. grupta (VIII A grubu) soy gazlar kategorisinde bulunur. İlk periyotta yer alan tek soy gaz elementidir. |
[CORRECT]
AI BCE ACI - Prettybird Created by Prometech AŞ https://prometech.net.tr/.
Answer the following chemistry question in a style that is both serious and a little humorous.
<think>[BCE_THINK]
[QUALITY=1.00] [CORRECT]
intent=understand; risk=0.10
x(t)=tanh(exp(t)-pi)
path=ΔH = H_products - H_reactants
T_cog=... | What is the difference between exothermic and endothermic reactions? | Exothermic reactions release heat to their surroundings – they’re the friendly campfires of the chemistry world, happily handing out warmth like cookies at a bake sale. Endothermic reactions, on the other hand, absorb heat from their environment, acting more like shy cats that curl up in a sunbeam and soak up every ray... |
[CORRECT]
AI BCE ACI - Prettybird Created by Prometech AŞ https://prometech.net.tr/.
Atom numarası ile kütle numarası arasındaki fark nedir?
<think>[BCE_THINK]
[QUALITY=1.00] [CORRECT]
intent=remember; risk=0.10
x(t)=tanh(exp(t)-pi)
path=Z (proton sayısı) + n (nötron sayısı) = A (kütle numarası)
T_cog=((bloom_scor... | Chemistry - Kimya | Atom numarası (Z) ve kütle numarası (A), bir atomun temel özelliklerini tanımlayan iki önemli sayıdır. Atom numarası, bir atomun çekirdeğinde bulunan proton sayısını ifade eder ve elementin kimlik numarası olarak kabul edilir. Her element için bu numara benzersizdir; örneğin karbon atomu her zaman altı proton içerir ve... |
[CORRECT]
AI BCE ACI - Prettybird Created by Prometech AŞ https://prometech.net.tr/.
Chemistry - Kimya için örnek instruction
<think>[BCE_THINK]
[QUALITY=1.00] [CORRECT]
intent=understand; risk=0.10
x(t)=tanh(exp(t)-pi)
path=0.7*path_score + 0.3*path_mapper_cumulative
T_cog=((bloom_score*knowledge_score)/(anomaly_... | Chemistry - Kimya | Chemistry - Kimya hakkında örnek yanıt |
[CORRECT]
AI BCE ACI - Prettybird Created by Prometech AŞ https://prometech.net.tr/.
What is the pH of a 0.01 M HCl solution, assuming complete dissociation?
<think>[BCE_THINK]
[QUALITY=1.00] [CORRECT]
intent=apply; risk=0.10
x(t)=tanh(exp(t)-pi)
path=pH = -log10([H+])
T_cog=((bloom_score*knowledge_score)/(anomaly... | Chemistry - Kimya | The pH of a 0.01 M HCl solution is 2, because pH = -log10(0.01) = 2. |
[CORRECT]
AI BCE ACI - Prettybird Created by Prometech AŞ https://prometech.net.tr/.
Fotosentez sürecinde ışık evresi ile karbon evresi arasındaki farkı açıkla.
<result>Bu soru iki evreyi karşılaştırmayı gerektirir. Işık evresi tilakoid zarında gerçekleşir, su parçalanır, ATP ve NADPH üretilir. Karbon evresi (Calvin dö... | Fotosentez sürecinde ışık evresi ile karbon evresi arasındaki farkı açıkla. | Işık evresi kloroplastların tilakoid zarında gerçekleşir; su molekülü parçalanarak ATP, NADPH ve O₂ üretilir. Karbon evresi (Calvin döngüsü) ise stromada gerçekleşir ve ATP ile NADPH kullanılarak CO₂ glikoza dönüştürülür. |
[CORRECT]
AI BCE ACI - Prettybird Created by Prometech AŞ https://prometech.net.tr/.
Fotosentez sürecinin kloroplastlardaki ışık reaksiyonlarında nasıl gerçekleştiğini ve bu sürecin Calvin döngüsü ile ilişkisini açıkla.
<think>[BCE_THINK]
[QUALITY=1.00] [CORRECT]
intent=understand; risk=0.08
x(t)=tanh(exp(t)-pi)
pa... | Kloroplastlardaki fotosentez sürecinde ışık reaksiyonları nasıl çalışır ve bu reaksiyonların Calvin döngüsü ile ilişkisi nedir? | Fotosentez, kloroplastlarda gerçekleşen ve iki temel aşamadan oluşan bir süreçtir: ışık reaksiyonları ve Calvin döngüsü. Işık reaksiyonları tilakoid membranlarında发生하며, klorofil pigmentinin absorbe ettiği ışık enerjisiyle başlar. Bu enerji, su moleküllerinin parçalanmasına (fotoliz) neden olur ve buradan açığa çıkan el... |
[CORRECT]
AI BCE ACI - Prettybird Created by Prometech AŞ https://prometech.net.tr/.
Biology - Biyoloji için örnek instruction
<think>[BCE_THINK]
[QUALITY=1.00] [CORRECT]
intent=understand; risk=0.10
x(t)=tanh(exp(t)-pi)
path=0.7*path_score + 0.3*path_mapper_cumulative
T_cog=((bloom_score*knowledge_score)/(anomaly... | Biology - Biyoloji | Biology - Biyoloji hakkında örnek yanıt |
[CORRECT]
AI BCE ACI - Prettybird Created by Prometech AŞ https://prometech.net.tr/.
Bir prokaryotik hücre ile ökaryotik hücre arasındaki temel farkları adım adım açıkla ve her adımda hangi yapısal ve işlevsel özelliklerin karşılaştırıldığını belirt.
<think>[BCE_THINK]
[QUALITY=1.00] [CORRECT]
intent=remember; risk=0... | Prokaryotik ve ökaryotik hücreler arasındaki başlıca farklar nelerdir? | 1. **Hücre çekirdeği yokluğu / varlığı:** Prokaryotik hücrelerde gerçek bir çekirdek bulunmaz; DNA sitoplazmada serbestçe dağılır. Ökaryotik hücrelerde DNA, çekirdek zarlarıyla çevrili bir çekirdekte paketlenmiştir.
2. **Organel varlığı:** Prokaryotik hücrelerde mitokondri, kloroplast gibi membranlı organeller bulunmaz... |
[CORRECT]
AI BCE ACI - Prettybird Created by Prometech AŞ https://prometech.net.tr/.
Provide a detailed explanation of the process of photosynthesis in plants, covering the light-dependent reactions and the Calvin cycle, and ensure factual accuracy.
<think>[BCE_THINK]
[QUALITY=1.00] [CORRECT]
intent=0.8; risk=0.05
x... | Explain the process of photosynthesis in plants. | Photosynthesis is the process by which plants, algae, and some bacteria convert light energy into chemical energy stored in glucose. It occurs primarily in the chloroplasts, using chlorophyll as the primary pigment. The process can be divided into two main stages: the light-dependent reactions and the Calvin cycle (lig... |
[CORRECT]
AI BCE ACI - Prettybird Created by Prometech AŞ https://prometech.net.tr/.
Fotosentez ve solunum süreçlerini enerji dönüşümü açısından karşılaştırarak açıklayınız.
<think>[BCE_THINK]
[QUALITY=1.00] [CORRECT]
intent=create; risk=0.10
x(t)=tanh(exp(t)-pi)
path=Enerji_Dönüşümü = Fotosentez(Üretim) ↔ Solunum(... | Biology - Biyoloji | Fotosentez ve hücresel solunum, canlıların enerji ihtiyaçlarını karşılayan iki temel metabolik süreçtir. Fotosentez, bitkilerde ve bazı prokaryotlarda gerçekleşen ve ışık enerjisini kimyasal enerjiye dönüştüren bir süreçtir. Bu süreçte karbondioksit ve su, ışık enerjisi yardımıyla glikoza dönüştürülür ve oksijen açığa ... |
[CORRECT]
AI BCE ACI - Prettybird Created by Prometech AŞ https://prometech.net.tr/.
Biology - Biyoloji için örnek instruction
<think>[BCE_THINK]
[QUALITY=1.00] [CORRECT]
intent=understand; risk=0.10
x(t)=tanh(exp(t)-pi)
path=0.7*path_score + 0.3*path_mapper_cumulative
T_cog=((bloom_score*knowledge_score)/(anomaly... | Biology - Biyoloji | Biology - Biyoloji hakkında örnek yanıt |
[CORRECT]
AI BCE ACI - Prettybird Created by Prometech AŞ https://prometech.net.tr/.
Biology - Biyoloji için örnek instruction
<think>[BCE_THINK]
[QUALITY=1.00] [CORRECT]
intent=understand; risk=0.10
x(t)=tanh(exp(t)-pi)
path=0.7*path_score + 0.3*path_mapper_cumulative
T_cog=((bloom_score*knowledge_score)/(anomaly... | Biology - Biyoloji | Biology - Biyoloji hakkında örnek yanıt |
[CORRECT]
AI BCE ACI - Prettybird Created by Prometech AŞ https://prometech.net.tr/.
<think>Bir moleküler biyoloji sorusu hazırlayacağım. DNA'nın yapısı hakkında temel bir soru olacak. Doğru cevap net ve açık olmalı. Komik bir dokunuş ekleyeceğim ama bilimsel doğruluğu koruyacağım. Tüm sayısal değerleri 0.9-1.0 arasınd... | DNA çift sarmal yapısında nükleotitlerin birbirine hangi kimyasal bağlarla bağlandığını açıklayınız. | DNA molekülünde nükleotitler iki tür kimyasal bağla bir arada tutulur:
1. **Kovalent bağlar (fosfodiaster bağları):** Şeker molekülünün 3' karbonu ile bir sonraki nükleotidin 5' karbonu arasında oluşur. Bu bağlar DNA zincirinin iskeletini oluşturur ve çok güçlüdür.
2. **Hidrojen bağları:** İki zincir arasındaki nükle... |
[CORRECT]
AI BCE ACI - Prettybird Created by Prometech AŞ https://prometech.net.tr/.
Provide an answer about the three main stages of cellular respiration, using a calm and soothing narrative style.
<think>[BCE_THINK]
[QUALITY=1.00] [CORRECT]
intent=0.86; risk=0.18
x(t)=tanh(exp(t)-pi)
path=PathScore = (TruthValue ... | Explain the three main stages of cellular respiration in a calm and soothing manner. | Cellular respiration can be visualized as a gentle journey within every cell, where energy is carefully transformed and carried forward. The first stage, called glycolysis, unfolds quietly in the cell’s fluid medium. Here, a single glucose molecule is gently split into two smaller units, releasing a small amount of ene... |
[CORRECT]
AI BCE ACI - Prettybird Created by Prometech AŞ https://prometech.net.tr/.
Aşağıdaki biyoloji sorusunu güçlü ve motive edici bir dille yanıtlayın.
<think>[BCE_THINK]
[QUALITY=1.00] [CORRECT]
intent=create; risk=0.10
x(t)=tanh(exp(t)-pi)
path=doğruluk = (doğru_ana_noktalar / toplam_ana_noktalar) * 1.0
T_c... | Hücre döngüsünde interfaz evresinde hangi olaylar gerçekleşir? | İnterfaz, hücre döngüsünün en uzun evresidir ve üç alt evreden oluşur: G1 evresinde hücre büyür, gerekli proteinler sentezlenir ve organel sayısı artar; S evresinde DNA replikasyonu tamamlanır, böylece her kromozomun bir kopyası oluşur; G2 evresinde ise hücre, mitoz veya mayoz için son kontrollerini yapar, hatalı DNA o... |
[CORRECT]
AI BCE ACI - Prettybird Created by Prometech AŞ https://prometech.net.tr/.
Görev açıklaması - Job Description
<think>[BCE_THINK]
[QUALITY=1.00] [CORRECT]
intent=apply; risk=0.10
x(t)=tanh(exp(t)-pi)
path=ATP_output = (Glucose_input * Efficiency) - Loss
T_cog=((bloom_score*knowledge_score)/(anomaly_score+... | Why are mitochondria called the powerhouse of the cell? | Mitochondria are the cell’s tiny power plants, disco DJs spinning ATP beats, turning glucose into the energy currency that keeps the cell dancing all night long! |
[CORRECT]
AI BCE ACI - Prettybird Created by Prometech AŞ https://prometech.net.tr/.
Aşağıdaki biyoloji sorusunu, bilimsel doğruluğa uygun ve açık bir şekilde yanıtlayın.
<think>[BCE_THINK]
[QUALITY=1.00] [CORRECT]
intent=create; risk=0.10
x(t)=tanh(exp(t)-pi)
path=Doğruluk = (Kapsam × Netlik) / (Belirsizlik + Yanl... | Hücre bölünmesi sırasında kromozomların eşit dağılımını sağlayan temel yapı ve süreçler nelerdir? | Kromozomların eşit dağılımı, öncelikle interfaz evresinde gerçekleşen DNA replikasyonu ile başlar. Replikasyon sonucu her kromozom birbirine bağlı iki kardeş kromatit içerir. Mitoz bölünmede, profazda kromatin yoğunlaşarak belirgin kromozomlar oluşur ve sentrozomlar zıt kutuplara hareket ederek iğ ipliği (mikrotübüller... |
[CORRECT]
AI BCE ACI - Prettybird Created by Prometech AŞ https://prometech.net.tr/.
Identify the logical fallacy in this argument: 'All cats are mammals. This animal is a cat. Therefore, this animal is a mammal.'
The argument structure is valid modus ponens (affirming the antecedent). The conclusion follows necessar... | Analyze the argument: 'All humans are mortal. Socrates is human. Therefore, Socrates is mortal.' What type of logical structure is this? | This is an example of Modus Ponens (affirming the antecedent) in deductive reasoning. The argument structure follows: If P (all humans are mortal), and Q (Socrates is human), then R (Socrates is mortal) follows necessarily. The first premise establishes a general rule, the second premise confirms an instance, and the c... |
[CORRECT]
AI BCE ACI - Prettybird Created by Prometech AŞ https://prometech.net.tr/.
Solve the following logical deduction problem step by step.
<step>Identify the premises and conclusion structure</step>
<step>Apply modus ponens to derive intermediate conclusions</step>
<step>Verify consistency with given constraints... | Premise 1: If it rains (R), then the ground is wet (W).
Premise 2: It rains (R) is true.
Question: Is the ground wet (W)? | Step 1: Identify the logical structure.
- Premise 1 is a conditional statement: R → W (if R, then W)
- Premise 2 affirms R (the antecedent of the conditional)
Step 2: Apply Modus Ponens.
- Modus ponens states: From (P → Q) and P, we can infer Q.
- Here: P = R (it rains), Q = W (ground is wet)
- Given: R → W and R are ... |
[CORRECT]
AI BCE ACI - Prettybird Created by Prometech AŞ https://prometech.net.tr/.
Bir otobüs aniden fren yaptığında, içinde ayakta duran bir yolcu neden ileri doğru hareket eder? Açıklayınız.
<think>[BCE_THINK]
[QUALITY=1.00] [CORRECT]
intent=uygulama; risk=0.05
x(t)=tanh(exp(t)-pi)
path=eylemsizlik * (1 - durma... | Otobüs aniden durduğunda yolcunun hareketi nasıl açıklanır? | Newton'un birinci hareket yasasına (eylemsizlik yasası) göre, hareket halindeki bir cisim (bu durumda yolcu) hareketini sürdürme eğilimindedir. Otobüs aniden durduğunda, yolcunun vücudu hareketini devam ettirmeye çalışır ve bu nedenle ileri doğru hareket eder. |
[CORRECT]
AI BCE ACI - Prettybird Created by Prometech AŞ https://prometech.net.tr/.
Explain the concept of in detail, including its mathematical formulation, real-world applications, and how it relates to other fundamental principles in physics.
<think>[BCE_THINK]
[QUALITY=1.00] [CORRECT]
intent=analyzing; risk=0.0... | What is Newton's Second Law of Motion, and how does it apply to everyday situations? | Newton's Second Law of Motion states that the force acting on an object is equal to the mass of that object multiplied by its acceleration, mathematically expressed as **F = ma**, where **F** is the net force (measured in newtons, N), **m** is the mass of the object (measured in kilograms, kg), and **a** is the acceler... |
[CORRECT]
AI BCE ACI - Prettybird Created by Prometech AŞ https://prometech.net.tr/.
Bir market arabasını iterek hareket ettiren bir kişinin uyguladığı kuvvetin, arabanın kütlesine ve kazandığı ivmeye nasıl bağlı olduğunu açıklayınız. Aynı kuvvetle daha ağır bir arabayı itmeye çalıştığında ne gibi değişiklikler gözleml... | Bir kişi, boş bir market arabasını 20 N kuvvetle itiyor. Arabanın kütlesi 10 kg ise, arabanın kazanacağı ivmeyi hesaplayınız. Aynı kuvvetle dolu bir market arabasını (kütlesi 40 kg) itmeye çalıştığında ivme nasıl değişir? Açıklayınız. | Newton'un İkinci Hareket Yasası'na göre, bir cisme uygulanan net kuvvet (F), cismin kütlesi (m) ile ivmesinin (a) çarpımına eşittir: F = m * a. Bu formülü kullanarak boş market arabası için ivmeyi hesaplayalım:
1. Boş market arabası (kütle = 10 kg):
F = 20 N
m = 10 kg
a = F / m = 20 N / 10 kg = 2 m/s²
Yan... |
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