Mathway | Popular Problems

Popular Problems

Rank	Topic	Problem	Formatted Problem
121801	Expand Using Pascal's Triangle	(3a-1)^3	${(3 a - 1)}^{3}$
121802	Expand Using Pascal's Triangle	(s-v)^6	${(s - v)}^{6}$
121803	Expand Using Pascal's Triangle	(r+s)^6	${(r + s)}^{6}$
121804	Expand Using Pascal's Triangle	(3u-v)^6	${(3 u - v)}^{6}$
121805	Find the Slope and y-intercept	(2,4) , (5,13)	$(2, 4) (5, 13)$
121806	Evaluate Using Scientific Notation	(210^16)+(710^16)	$(2 \cdot 10^{16}) + (7 \cdot 10^{16})$
121807	Write as a Function of x	2x-y=-5x-4y	$2 x - y = - 5 x - 4 y$
121808	Write as a Function of x	7x+\|y\|=0	$7 x + \| y \| = 0$
121809	Write as a Function of x	(3x-2y)/6=-1	$\frac{3 x - 2 y}{6} = - 1$
121810	Write as a Function of x	-6x^2-2x=3x-3y	$- 6 x^{2} - 2 x = 3 x - 3 y$
121811	Write as a Function of y	xy+2y=1	$x y + 2 y = 1$
121812	Write as a Function of a	y = log base a of x	$y = \log_{a} (x)$
121813	Write as a Function of y	-6x^2-2x=3x-3y	$- 6 x^{2} - 2 x = 3 x - 3 y$
121814	Write as a Function of y	x=2/y	$x = \frac{2}{y}$
121815	Write as a Function of x	y = log base a of x	$y = \log_{a} (x)$
121816	Write as a Function of x	(5x-4y)/6=-4	$\frac{5 x - 4 y}{6} = - 4$
121817	Find the Maximum/Minimum Value	100x-0.4x^2	$100 x - 0.4 x^{2}$
121818	Find the Maximum/Minimum Value	100x^2-1600x	$100 x^{2} - 1600 x$
121819	Find the Maximum/Minimum Value	2x^2-8x-9	$2 x^{2} - 8 x - 9$
121820	Find the Maximum/Minimum Value	88x-16x^2	$88 x - 16 x^{2}$
121821	Find the Maximum/Minimum Value	-4.9t^2+34.3t+1	$- 4.9 t^{2} + 34.3 t + 1$
121822	Find the Symmetry	x^2(x-4)^3(x+5)	$x^{2} {(x - 4)}^{3} (x + 5)$
121823	Round to the Nearest Hundredth	0.38461538	$0.38461538$
121824	Round to the Nearest Hundredth	square root of 61.6	$\sqrt{61.6}$
121825	Find All Complex Solutions	x^2-14x+130=0	$x^{2} - 14 x + 130 = 0$
121826	Find All Complex Solutions	5x^2-6x+5=0	$5 x^{2} - 6 x + 5 = 0$
121827	Find All Complex Solutions	x^2=\|x\|	$x^{2} = \| x \|$
121828	Find All Complex Solutions	-2x^4+8x^3+8x^2-32x=0	$- 2 x^{4} + 8 x^{3} + 8 x^{2} - 32 x = 0$
121829	Find All Complex Solutions	x^4+17x^3+60x^2-59x+77=0	$x^{4} + 17 x^{3} + 60 x^{2} - 59 x + 77 = 0$
121830	Find All Complex Solutions	x^2+14x=-130	$x^{2} + 14 x = - 130$
121831	Find All Complex Solutions	cos(x)=sin(x)	$\cos (x) = \sin (x)$
121832	Find the Roots/Zeros Using the Rational Roots Test	8x^3+50x^2-41x+7	$8 x^{3} + 50 x^{2} - 41 x + 7$
121833	Divide Using Long Polynomial Division	(x^3+x^2-14x-27)÷(x+3)	$(x^{3} + x^{2} - 14 x - 27) \div (x + 3)$
121834	Divide Using Long Polynomial Division	(x^2-7x-11)÷(x-8)	$(x^{2} - 7 x - 11) \div (x - 8)$
121835	Divide Using Long Polynomial Division	(11x+20x^2+12x^3+2)÷(3x+2)	$(11 x + 20 x^{2} + 12 x^{3} + 2) \div (3 x + 2)$
121836	Divide Using Long Polynomial Division	(7x^3+11x^2+7x+5)/(x^2+1)	$\frac{(7 x^{3} + 11 x^{2} + 7 x + 5)}{(x^{2} + 1)}$
121837	Divide Using Long Polynomial Division	(5x^10-9x^8-9x^5+7x)/(x^5)	$\frac{5 x^{10} - 9 x^{8} - 9 x^{5} + 7 x}{x^{5}}$
121838	Divide Using Long Polynomial Division	(9x^4+3x^3y-5x^2y^2+xy^3)/(3x^3+2x^2y-xy^2)	$\frac{(9 x^{4} + 3 x^{3} y - 5 x^{2} y^{2} + x y^{3})}{(3 x^{3} + 2 x^{2} y - x y^{2})}$
121839	Divide Using Long Polynomial Division	(8x^3+5x^2-12x+10)/(x^2-3)	$\frac{(8 x^{3} + 5 x^{2} - 12 x + 10)}{(x^{2} - 3)}$
121840	Find the Reference Angle	-(19pi)/4	$- \frac{19 π}{4}$
121841	Find the Axis of Symmetry	y=2.75x^2+3	$y = 2.75 x^{2} + 3$
121842	Find the Axis of Symmetry	y=3x^2-2x-6	$y = 3 x^{2} - 2 x - 6$
121843	Find the Axis of Symmetry	y=-3x^2-12	$y = - 3 x^{2} - 12$
121844	Find the Axis of Symmetry	y=-x^2+10x-23	$y = - x^{2} + 10 x - 23$
121845	Find the Axis of Symmetry	y=-x^2+10x-26	$y = - x^{2} + 10 x - 26$
121846	Find the Slope and y-intercept	f(x)=1/7x	$f (x) = \frac{1}{7} x$
121847	Expand Using the Binomial Theorem	(r+s)^6	${(r + s)}^{6}$
121848	Expand Using the Binomial Theorem	(u+v)^3	${(u + v)}^{3}$
121849	Expand Using the Binomial Theorem	(v+w)^3	${(v + w)}^{3}$
121850	Expand Using the Binomial Theorem	(y-1)^7	${(y - 1)}^{7}$
121851	Expand Using the Binomial Theorem	(8x+5)^3	${(8 x + 5)}^{3}$
121852	Expand Using the Binomial Theorem	(5y-1)^4	${(5 y - 1)}^{4}$
121853	Expand Using the Binomial Theorem	(1-i)^10	${(1 - i)}^{10}$
121854	Expand Using the Binomial Theorem	(2+x)^6	${(2 + x)}^{6}$
121855	Expand Using the Binomial Theorem	(2m-3n)^9	${(2 m - 3 n)}^{9}$
121856	Find the Eccentricity	((x-5)^2)/52+((y+1)^2)/64=1	$\frac{{(x - 5)}^{2}}{52} + \frac{{(y + 1)}^{2}}{64} = 1$
121857	Complete the Square	4x^2-16x-3	$4 x^{2} - 16 x - 3$
121858	Round to the Nearest Tenth	9.375	$9.375$
121859	Round to the Nearest Tenth	0.88235294	$0.88235294$
121860	Find the Difference Quotient	f(x)=4x^2+5	$f (x) = 4 x^{2} + 5$
121861	Find the Difference Quotient	f(x)=-2x^2+x+5	$f (x) = - 2 x^{2} + x + 5$
121862	Find the Difference Quotient	f(x)=-x^2+8x+4	$f (x) = - x^{2} + 8 x + 4$
121863	Find the Difference Quotient	f(x)=x^2+5x+3	$f (x) = x^{2} + 5 x + 3$
121864	Find the Vertex Form	y=x^2+7x-1	$y = x^{2} + 7 x - 1$
121865	Find the Vertex Form	y=4x^2+8x+2	$y = 4 x^{2} + 8 x + 2$
121866	Find the Vertex Form	y=3x^2-4x-11	$y = 3 x^{2} - 4 x - 11$
121867	Find the Vertex Form	y=x^2+12x+37	$y = x^{2} + 12 x + 37$
121868	Find the Vertex Form	y=3x^2-6x-1	$y = 3 x^{2} - 6 x - 1$
121869	Find the Maximum/Minimum Value	y=3x^2-18x+29	$y = 3 x^{2} - 18 x + 29$
121870	Find the Maximum/Minimum Value	y=2x^2-x+3	$y = 2 x^{2} - x + 3$
121871	Find the Maximum/Minimum Value	y=-1/2x^2-5x+2	$y = - \frac{1}{2} x^{2} - 5 x + 2$
121872	Find the Equation Given the Roots	5 , -1 , 0	$5$ , $- 1$ , $0$
121873	Convert from Degrees to Radians	-945	$- 945$
121874	Find the Degree, Leading Term, and Leading Coefficient	15x-x^3+3	$15 x - x^{3} + 3$
121875	Find the Degree, Leading Term, and Leading Coefficient	9x^4	$9 x^{4}$
121876	Find the Degree, Leading Term, and Leading Coefficient	18-3y+5y^2-y^5+7y^6	$18 - 3 y + 5 y^{2} - y^{5} + 7 y^{6}$
121877	Find the Degree, Leading Term, and Leading Coefficient	10x^12-12x^13+5x-6	$10 x^{12} - 12 x^{13} + 5 x - 6$
121878	Find the Degree, Leading Term, and Leading Coefficient	4p^3-2pq^2+q	$4 p^{3} - 2 p q^{2} + q$
121879	Find the Slope of a Parallel Line	-7x+5y=-9	$- 7 x + 5 y = - 9$
121880	Write with Rational (Fractional) Exponents	( seventh root of -21)^3	${(\sqrt[7]{- 21})}^{3}$
121881	Write with Rational (Fractional) Exponents	fourth root of x^3y	$\sqrt[4]{x^{3} y}$
121882	Write with Rational (Fractional) Exponents	(3^-8*7^3)^-2	${(3^{- 8} \cdot 7^{3})}^{- 2}$
121883	Find the Focus	(x-4)^2=3(y-3)	${(x - 4)}^{2} = 3 (y - 3)$
121884	Expand the Trigonometric Expression	3(2y-5)	$3 (2 y - 5)$
121885	Expand the Trigonometric Expression	4(x-1)	$4 (x - 1)$
121886	Identify the Zeros and Their Multiplicities	x^4-21x^2+80	$x^{4} - 21 x^{2} + 80$
121887	Identify the Zeros and Their Multiplicities	x^3-15x^2+75x-125	$x^{3} - 15 x^{2} + 75 x - 125$
121888	Identify the Zeros and Their Multiplicities	f(x)=2x^3-x^2-50x+25	$f (x) = 2 x^{3} - x^{2} - 50 x + 25$
121889	Identify the Zeros and Their Multiplicities	f(x)=x^2(x-4)^3(x+3)	$f (x) = x^{2} {(x - 4)}^{3} (x + 3)$
121890	Find the Domain	f(x)=1/x , g(x)=x^2 , g(f(x))	$f (x) = \frac{1}{x}$ , $g (x) = x^{2}$ , $g (f (x))$
121891	Find the Vertex Form	-3x^2+24x-41	$- 3 x^{2} + 24 x - 41$
121892	Find the Slope of a Perpendicular Line	-7x+5y=-9	$- 7 x + 5 y = - 9$
121893	Find the Slope of a Perpendicular Line	y=-9x+4	$y = - 9 x + 4$
121894	Find the Prime Factorization	8281	$8281$
121895	Find the Vertex Form	f(x)=x^2+3x+1	$f (x) = x^{2} + 3 x + 1$
121896	Find the Vertex Form	p(x)=6x^2-18x+6	$p (x) = 6 x^{2} - 18 x + 6$
121897	Find the Remainder	(3x^4+2x^3-x^2+2x-14)/(x+2)	$\frac{(3 x^{4} + 2 x^{3} - x^{2} + 2 x - 14)}{(x + 2)}$
121898	Write the Fraction in Simplest Form	(2^-7*5^5)^2	${(2^{- 7} \cdot 5^{5})}^{2}$
121899	Write the Fraction in Simplest Form	(1/56)÷(7/8)	$\frac{1}{56} \div \frac{7}{8}$
121900	Write the Fraction in Simplest Form	(2/3)÷3	$\frac{2}{3} \div 3$