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question:What is the value of f(-1) if f(x)=x^{2}-2x?
answer:We substitute x=-1 into the function to find f(-1). f(-1)=(-1)^{2}-2(-1)=1+2=boxed{3}. The answer is: 3
question:What is the value of the integer n, where 0 ≤ n ≤ 9, that satisfies the congruence n ≡ -2187 (mod 10)?
answer:To find the value of n that satisfies the congruence n equiv -2187 pmod{10}, we can find the remainder when -2187 is divided by 10. The remainder is -7, so we have n equiv -7 pmod{10}. Since n must be between 0 and 9, the value of n that satisfies the congruence is boxed{3}. The answer is: 3
question:What is the smallest value of y that satisfies the equation 3y^2 + 5y + 2 = 4?
answer:We start by subtracting 4 from both sides to get 3y^2 + 5y - 2 = 0. Then, we can attempt to factor the quadratic as (3y - 1)(y + 2) = 0. Setting each factor equal to zero, we have 3y - 1 = 0 or y + 2 = 0. Solving each equation, we find y = frac{1}{3} or y = -2. Since we are looking for the smallest value of y, the answer is boxed{-2}. The answer is: -2
question:f the green piece of yarn is 156 cm long and the red yarn is 8 cm longer than three times the length of the green yarn, what is the total length, in centimeters, of the two pieces of yarn?
answer:Three times the length of the green yarn is 3 * 156 = 468 cm. The length of the red yarn is 468 + 8 = 476 cm. The total length of the two pieces of yarn is 156 + 476 = 632 cm. 632 The answer is: 632