Mathway | Popular Problems

Popular Problems

Rank	Topic	Problem	Formatted Problem
206801	Simplify	(4y)/(3y^2+6y)-1/(y+2)	$\frac{4 y}{3 y^{2} + 6 y} - \frac{1}{y + 2}$
206802	Solve for x	2\|x-3\|+6>10	$2 \| x - 3 \| + 6 > 10$
206803	Solve for x	(6x+8)^(1/2)-3x=0	${(6 x + 8)}^{\frac{1}{2}} - 3 x = 0$
206804	Evaluate	(6x^-2)/(30x^-8)	$\frac{6 x^{- 2}}{30 x^{- 8}}$
206805	Solve for x	-1+7/4=(2x-7)/(4x)	$- 1 + \frac{7}{4} = \frac{2 x - 7}{4 x}$
206806	Simplify	(( square root of 7-3i)/2)*(( square root of 7+3i)/4)	$(\frac{\sqrt{7} - 3 i}{2}) \cdot (\frac{\sqrt{7} + 3 i}{4})$
206807	Simplify	( square root of xy)/( square root of x+ square root of y)	$\frac{\sqrt{x y}}{\sqrt{x} + \sqrt{y}}$
206808	Solve for x	x(b+7)=9	$x (b + 7) = 9$
206809	Simplify	6-(-5)+2+(-4)	$6 - (- 5) + 2 + (- 4)$
206810	Simplify	(3-4 square root of 10)( square root of 5+2 square root of 3)	$(3 - 4 \sqrt{10}) (\sqrt{5} + 2 \sqrt{3})$
206811	Simplify the Radical Expression	(7 square root of 6)(-5 square root of 30)	$(7 \sqrt{6}) (- 5 \sqrt{30})$
206812	Graph	graph 3x+2y=12	graph $3 x + 2 y = 12$
206813	Solve for x	square root of x+3 = square root of 2x+2	$\sqrt{x} + 3 = \sqrt{2 x + 2}$
206814	Write the Fraction in Simplest Form	(3(x^2)^3)/(3x^3)	$\frac{3 {(x^{2})}^{3}}{3 x^{3}}$
206815	Solve for T	I/T=Pr	$\frac{I}{T} = P r$
206816	Simplify	(2xy^2)/(x^5y^3)*(5xy^3)/(-30y^-2)	$\frac{2 x y^{2}}{x^{5} y^{3}} \cdot \frac{5 x y^{3}}{- 30 y^{- 2}}$
206817	Multiply	(45a^3)/(a^2-4)*(a^2+2a)/(30a^2)	$\frac{45 a^{3}}{a^{2} - 4} \cdot \frac{a^{2} + 2 a}{30 a^{2}}$
206818	Simplify	square root of (xy)/(2ab)	$\sqrt{\frac{x y}{2 a b}}$
206819	Convert to Radical Form	(6^(1/2)*4^(1/3))^2	${(6^{\frac{1}{2}} \cdot 4^{\frac{1}{3}})}^{2}$
206820	Find the Quotient	(2x^2+x-28)/(x+4)	$\frac{2 x^{2} + x - 28}{x + 4}$
206821	Convert to a Decimal	sin(60)deg	$\sin (60)$ degrees
206822	Write in Exponential Form	cube root of 5+ fifth root of 5	$\sqrt[3]{5} + \sqrt[5]{5}$
206823	Graph	y=2-1/4sin(2)(x-pi/4)	$y = 2 - \frac{1}{4} \sin (2) (x - \frac{π}{4})$
206824	Solve for f	-4/5f+1=-13	$- \frac{4}{5} f + 1 = - 13$
206825	Find the Inverse	m(x)=(x+5)/2	$m (x) = \frac{x + 5}{2}$
206826	Multiply	square root of xy^3* square root of x^2y^4	$\sqrt{x y^{3}} \cdot \sqrt{x^{2} y^{4}}$
206827	Simplify	-4b+(-9k)-6-3b+12	$- 4 b + (- 9 k) - 6 - 3 b + 12$
206828	Simplify	5(1/2x-4)+1/2x	$5 (\frac{1}{2} x - 4) + \frac{1}{2} x$
206829	Find the x and y Intercepts	(4x^2-16)/(-5x+10)	$\frac{4 x^{2} - 16}{- 5 x + 10}$
206830	Solve for c	9^(3c+1)=27^(3c-1)	$9^{3 c + 1} = 27^{3 c - 1}$
206831	Find the Degree, Leading Term, and Leading Coefficient	f(x)=-8x-10+x^5+3x^3	$f (x) = - 8 x - 10 + x^{5} + 3 x^{3}$
206832	Graph Using a Table of Values	f(x)=1/2*2^x-6	$f (x) = \frac{1}{2} \cdot 2^{x} - 6$
206833	Solve for x	(x-1)^3=y	${(x - 1)}^{3} = y$
206834	Evaluate	x+9=18+-2x	$x + 9 = 18 + - 2 x$
206835	Graph	1/3x+5=-2x-2	$\frac{1}{3} x + 5 = - 2 x - 2$
206836	Solve for x	e^( natural log of x+1)=2	$e^{\ln (x) + 1} = 2$
206837	Solve for x	3/(x+3)+(2x+7)/(x-3)=x/(x-3)	$\frac{3}{x + 3} + \frac{2 x + 7}{x - 3} = \frac{x}{x - 3}$
206838	Simplify	( sixth root of 4x)/( sixth root of 16x^5)	$\frac{\sqrt[6]{4 x}}{\sqrt[6]{16 x^{5}}}$
206839	Graph	graph 3x-4y=24	graph $3 x - 4 y = 24$
206840	Simplify	2^-2*3^-1	$2^{- 2} \cdot 3^{- 1}$
206841	Find the Degree, Leading Term, and Leading Coefficient	1/3x^5+x^2-x-10+3x^3	$\frac{1}{3} x^{5} + x^{2} - x - 10 + 3 x^{3}$
206842	Simplify	(3x^2y^4)/(4xy^2)	$\frac{3 x^{2} y^{4}}{4 x y^{2}}$
206843	Write in Standard Form	x/-3+y/6=1	$\frac{x}{- 3} + \frac{y}{6} = 1$
206844	Write in Standard Form	f(x)=x^4-x^3-2x^2	$f (x) = x^{4} - x^{3} - 2 x^{2}$
206845	Evaluate	(3.910^-5)/(7.810^-8)	$\frac{(3.9 \times 10^{- 5})}{(7.8 \times 10^{- 8})}$
206846	Multiply	(xy-1)(xy+6)(xy-8)	$(x y - 1) (x y + 6) (x y - 8)$
206847	Graph	2y^2=x-4	$2 y^{2} = x - 4$
206848	Evaluate	2(3)^2-7^1+3(3)^0	$2 {(3)}^{2} - 7^{1} + 3 {(3)}^{0}$
206849	Write the Fraction in Simplest Form	((-4q^3)^2)/(-2q^9)	$\frac{{(- 4 q^{3})}^{2}}{- 2 q^{9}}$
206850	Solve for r	square root of r+1=2r	$\sqrt{r} + 1 = 2 r$
206851	Combine Like Terms	4a+b+10a-10b	$4 a + b + 10 a - 10 b$
206852	Solve for x	2x-(2(x+4)+4)=6x	$2 x - (2 (x + 4) + 4) = 6 x$
206853	Graph	2x+y>=3 y>=-2x-3	$2 x + y \geq 3$ $y \geq - 2 x - 3$
206854	Solve for x	\|4x+6\|=2x+27	$\| 4 x + 6 \| = 2 x + 27$
206855	Solve for n	-4=8m+18n	$- 4 = 8 m + 18 n$
206856	Simplify	1/3x+5(1/3x+3)	$\frac{1}{3} x + 5 (\frac{1}{3} x + 3)$
206857	Solve for x	45=-5 square root of 39-6x	$45 = - 5 \sqrt{39 - 6 x}$
206858	Solve for x	log base 4 of x+5+ log base 4 of 3x-7=2	$\log_{4} (x + 5) + \log_{4} (3 x - 7) = 2$
206859	Solve for x	cube root of 8x- cube root of 6x-2=0	$\sqrt[3]{8 x} - \sqrt[3]{6 x - 2} = 0$
206860	Simplify	((q^2r^3)/(qr^2))^5	${(\frac{q^{2} r^{3}}{q r^{2}})}^{5}$
206861	Simplify	(4x^7y^8)/(2x^4*6x^5y^3)	$\frac{4 x^{7} y^{8}}{2 x^{4} \cdot 6 x^{5} y^{3}}$
206862	Graph	y=(x+4)(x+2)(x-1)(x-3)	$y = (x + 4) (x + 2) (x - 1) (x - 3)$
206863	Simplify	(3pq)^4*(p^6q)-(2p^2q)^5	${(3 p q)}^{4} \cdot (p^{6} q) - {(2 p^{2} q)}^{5}$
206864	Simplify	(((5xy)^0)/10)^-2	${(\frac{{(5 x y)}^{0}}{10})}^{- 2}$
206865	Simplify	1/6+3 2/4	$\frac{1}{6} + 3 \frac{2}{4}$
206866	Solve for x	90=9 square root of 25x	$90 = 9 \sqrt{25 x}$
206867	Simplify	(2mn^2(3m^2n)^2)/(12m^3n^4)	$\frac{2 m n^{2} {(3 m^{2} n)}^{2}}{12 m^{3} n^{4}}$
206868	Convert to a Decimal	cos(240)deg	$\cos (240)$ degrees
206869	Graph	y=-1/2cos(2x+2/3pi)	$y = - \frac{1}{2} \cos (2 x + \frac{2}{3} π)$
206870	Solve for x	(x-2)/(2x-6)=x/(x+3)	$\frac{x - 2}{2 x - 6} = \frac{x}{x + 3}$
206871	Simplify	(x^8y^-6z^-2)^(1/2)	${(x^{8} y^{- 6} z^{- 2})}^{\frac{1}{2}}$
206872	Solve for x	x^8=-x^7+3	$x^{8} = - x^{7} + 3$
206873	Simplify	5/(-2(x-4)^2+6)	$\frac{5}{- 2 {(x - 4)}^{2} + 6}$
206874	Divide	(-2/3)÷(4/3)	$- \frac{2}{3} \div \frac{4}{3}$
206875	Solve for a	(a+13)/10-(2a)/5=(3-a)/15+a/2	$\frac{a + 13}{10} - \frac{2 a}{5} = \frac{3 - a}{15} + \frac{a}{2}$
206876	Divide Using Long Polynomial Division	Use the long division method to find the result when 6x^3+23x^2+15x+28 is divided by 2x+7	Use the long division method to find the result when $6 x^{3} + 23 x^{2} + 15 x + 28$ is divided by $2 x + 7$
206877	Find the Roots (Zeros)	y=x-3	$y = x - 3$
206878	Evaluate	(4(9)^(1/2))/9	$\frac{4 {(9)}^{\frac{1}{2}}}{9}$
206879	Convert to a Decimal	56 pulgadas acm	$56$ pulgadas acm
206880	Rationalize the Denominator	(8y^2)/(2 fourth root of y)	$\frac{8 y^{2}}{2 \sqrt[4]{y}}$
206881	Divide Using Long Polynomial Division	(x^3-x^2-2x+8)÷(x-1)	$(x^{3} - x^{2} - 2 x + 8) \div (x - 1)$
206882	Simplify	6y cube root of 54x^10y^6	$6 y \sqrt[3]{54 x^{10} y^{6}}$
206883	Solve for c	a/b+1/d=1/c	$\frac{a}{b} + \frac{1}{d} = \frac{1}{c}$
206884	Simplify	(12x)/(4x)+5x	$\frac{12 x}{4 x} + 5 x$
206885	Evaluate	64÷(15-7)*2-9	$64 \div (15 - 7) \cdot 2 - 9$
206886	Solve the Inequality for x	2x^2-4x-56>=-10x	$2 x^{2} - 4 x - 56 \geq - 10 x$
206887	Solve the Rational Equation for x	square root of x=-10	$\sqrt{x} = - 10$
206888	Solve for n	2/3n-2/3=n/6+4/3	$\frac{2}{3} n - \frac{2}{3} = \frac{n}{6} + \frac{4}{3}$
206889	Solve for x	x=1+ square root of 3x-5	$x = 1 + \sqrt{3 x - 5}$
206890	Simplify	find the sum of -10x^2-x+6 and 10x^2-5	find the sum of $- 10 x^{2} - x + 6$ and $10 x^{2} - 5$
206891	Solve for k	kx^2+4kx+3=x^2	$k x^{2} + 4 k x + 3 = x^{2}$
206892	Simplify	i^9i^9i^21*i^28	$i^{9} \cdot i^{9} \cdot i^{21} \cdot i^{28}$
206893	Solve for x	1/2x^5=1/5x^2-2	$\frac{1}{2} x^{5} = \frac{1}{5} x^{2} - 2$
206894	Factor	a^6x^2-b^6x^2	$a^{6} x^{2} - b^{6} x^{2}$
206895	Describe the Transformation	y=2(x+8)^3-3	$y = 2 {(x + 8)}^{3} - 3$
206896	Simplify	( square root of 45x^6y)/(3 square root of 15xy^3)	$\frac{\sqrt{45 x^{6} y}}{3 \sqrt{15 x y^{3}}}$
206897	Simplify	i^14i^8i^24*i^12	$i^{14} \cdot i^{8} \cdot i^{24} \cdot i^{12}$
206898	Simplify	Find the sum of 4x^2-4x+10 and 2x^2+5x-8	Find the sum of $4 x^{2} - 4 x + 10$ and $2 x^{2} + 5 x - 8$
206899	Find the Equation Using Slope-Intercept Form	(6,4) ; slope -3/4	$(6, 4)$ ; slope $- \frac{3}{4}$
206900	Simplify	( square root of 3+i)/( square root of 3-i)	$\frac{\sqrt{3} + i}{\sqrt{3} - i}$