Mathway | Popular Problems

Popular Problems

Rank	Topic	Problem	Formatted Problem
234901	Evaluate the Function	g(2+h)=x^2	$g (2 + h) = x^{2}$
234902	Divide Using Long Polynomial Division	Use the long division method to find the result when 12x^3+4x^2-23x+10 is divided by 3x-2	Use the long division method to find the result when $12 x^{3} + 4 x^{2} - 23 x + 10$ is divided by $3 x - 2$
234903	Divide Using Synthetic Division	Use synthetic division to find the result when 4x^3-5x^2-25x+12 is divided by x-3	Use synthetic division to find the result when $4 x^{3} - 5 x^{2} - 25 x + 12$ is divided by $x - 3$
234904	Evaluate	g(2+h)=x^2	$g (2 + h) = x^{2}$
234905	Simplify	(1/2u^2v^3)(2uv^4)	$(\frac{1}{2} u^{2} v^{3}) (2 u v^{4})$
234906	Subtract	(x^2+x+2)/(x+4)-(2x+22)/(x+4)	$\frac{x^{2} + x + 2}{x + 4} - \frac{2 x + 22}{x + 4}$
234907	Simplify the Radical Expression	2/(4+ square root of 3)	$\frac{2}{4 + \sqrt{3}}$
234908	Simplify	((2d-6)/(d^2+2d-48))÷((d-3)/(2d+16))	$\frac{2 d - 6}{d^{2} + 2 d - 48} \div \frac{d - 3}{2 d + 16}$
234909	Solve for x	1/2(6x+2)=5(x+3)	$\frac{1}{2} (6 x + 2) = 5 (x + 3)$
234910	Solve the Inequality for x	5(7-3x)>6(5-4x)	$5 (7 - 3 x) > 6 (5 - 4 x)$
234911	Solve for c	685(c-9)=35	$685 (c - 9) = 35$
234912	Divide	(2x square root of 6)÷( square root of x)	$2 x \sqrt{6} \div \sqrt{x}$
234913	Evaluate	natural log of x=-1	$\ln (x) = - 1$
234914	Simplify	((z^2y)^(1/4))/(z^(-1/2)y^(1/2))	$\frac{{(z^{2} y)}^{\frac{1}{4}}}{z^{- \frac{1}{2}} y^{\frac{1}{2}}}$
234915	Solve the Inequality for x	square root of x+2+6=5	$\sqrt{x + 2} + 6 = 5$
234916	Solve the Rational Equation for x	square root of x-1-3=0	$\sqrt{x - 1} - 3 = 0$
234917	Solve for x	5/(x-4)+1=40/(x^2-16)	$\frac{5}{x - 4} + 1 = \frac{40}{x^{2} - 16}$
234918	Find the End Behavior	y=(x^2-5)(x-1)^2(x-2)^3	$y = (x^{2} - 5) {(x - 1)}^{2} {(x - 2)}^{3}$
234919	Evaluate	4*(2^2-(1+0.5))	$4 \cdot (2^{2} - (1 + 0.5))$
234920	Simplify	sin(135 degrees )	$\sin (135 °)$
234921	Evaluate	tan(x)^2=3	$\tan^{2} (x) = 3$
234922	Simplify	-x^2+2-1+6x^2-4x^2	$- x^{2} + 2 - 1 + 6 x^{2} - 4 x^{2}$
234923	Evaluate	(m^5n^3)^7*m^2n	${(m^{5} n^{3})}^{7} \cdot m^{2} n$
234924	Simplify	(1/13)/(1-( square root of 170)/13)	$\frac{\frac{1}{13}}{1 - \frac{\sqrt{170}}{13}}$
234925	Graph	y=2x-x^2+6	$y = 2 x - x^{2} + 6$
234926	Simplify the Radical Expression	sixth root of 16x^2y^4	$\sqrt[6]{16 x^{2} y^{4}}$
234927	Graph	(x-3)^2+y^2<=9	${(x - 3)}^{2} + y^{2} \leq 9$
234928	Find the Roots (Zeros)	y=4(x-1)^2-4	$y = 4 {(x - 1)}^{2} - 4$
234929	Find the Focus	x^2-2x+y-1=0	$x^{2} - 2 x + y - 1 = 0$
234930	Solve for x	x^2+14-x=-10x	$x^{2} + 14 - x = - 10 x$
234931	Solve for x	-x^2+10x=x^2-6x	$- x^{2} + 10 x = x^{2} - 6 x$
234932	Find the Exact Value	1*1/2	$1 \cdot \frac{1}{2}$
234933	Simplify the Radical Expression	- square root of 5q^3*3 square root of 35	$- \sqrt{5 q^{3}} \cdot 3 \sqrt{35}$
234934	Graph	F(x)=((x-3)(x+1))/(x-1)	$F (x) = \frac{(x - 3) (x + 1)}{x - 1}$
234935	Simplify the Radical Expression	fourth root of (x^24z^12)/81	$\sqrt[4]{\frac{x^{24} z^{12}}{81}}$
234936	Solve for x	-1+5.8x=1-(9.1x+10)+8.5x	$- 1 + 5.8 x = 1 - (9.1 x + 10) + 8.5 x$
234937	Simplify	8a^4b^3(2a^4b^5-8a^3b)b^3	$8 a^{4} b^{3} (2 a^{4} b^{5} - 8 a^{3} b) b^{3}$
234938	Simplify	(3/(x^2+14x+48))÷(3/(10x+60))	$\frac{3}{x^{2} + 14 x + 48} \div \frac{3}{10 x + 60}$
234939	Graph Using a Table of Values	y=1/(x-3)	$y = \frac{1}{x - 3}$
234940	Solve for m	5-10m=3m^2	$5 - 10 m = 3 m^{2}$
234941	Solve for w	w^3-12=-76	$w^{3} - 12 = - 76$
234942	Find the x and y Intercepts	F(x)=5*(1/6)^x	$F (x) = 5 \cdot {(\frac{1}{6})}^{x}$
234943	Simplify	4/(3- square root of 3)	$\frac{4}{3 - \sqrt{3}}$
234944	Graph	g(x)=1/(2(x+2))+3	$g (x) = \frac{1}{2 (x + 2)} + 3$
234945	Multiply	31/23 1/4	$3 \cdot \frac{1}{2} \cdot 3 \frac{1}{4}$
234946	Evaluate	h=0.3+5.5t-4.9t^2	$h = 0.3 + 5.5 t - 4.9 t^{2}$
234947	Simplify	(x^2-3x+4)+(x^3+3x-4)	$(x^{2} - 3 x + 4) + (x^{3} + 3 x - 4)$
234948	Solve the System of Inequalities	2d-5<=x<=2d+5	$2 d - 5 \leq x \leq 2 d + 5$
234949	Simplify the Radical Expression	((z^4)/(z^-5))^(1/6)	${(\frac{z^{4}}{z^{- 5}})}^{\frac{1}{6}}$
234950	Identify the Zeros and Their Multiplicities	f(x)=6(x^2+4)^2(x-5)^3	$f (x) = 6 {(x^{2} + 4)}^{2} {(x - 5)}^{3}$
234951	Solve for m	6(1+3m)=-8(-2m+5)-4	$6 (1 + 3 m) = - 8 (- 2 m + 5) - 4$
234952	Simplify	5(-3+2i)-(3i-15)	$5 (- 3 + 2 i) - (3 i - 15)$
234953	Solve the Absolute Value Inequality for b	4=\|2b+11\|	$4 = \| 2 b + 11 \|$
234954	Evaluate	1+1/x	$1 + \frac{1}{x}$
234955	Solve the Inequality for y	5>=7+y	$5 \geq 7 + y$
234956	Simplify	-3/2-4/3(x+2)	$- \frac{3}{2} - \frac{4}{3} (x + 2)$
234957	Solve the Inequality for x	10+x^2<0	$10 + x^{2} < 0$
234958	Multiply	square root of 7* ninth root of 7	$\sqrt{7} \cdot \sqrt[9]{7}$
234959	Evaluate	y=(1/2)^0	$y = {(\frac{1}{2})}^{0}$
234960	Solve the Inequality for x	x-1<=2x-3<=3x-5	$x - 1 \leq 2 x - 3 \leq 3 x - 5$
234961	Graph	tan(theta)>0 , sin(theta)>0	$\tan (θ) > 0$ , $\sin (θ) > 0$
234962	Solve the Inequality for x	-9<1-2x<=-2	$- 9 < 1 - 2 x \leq - 2$
234963	Subtract	3/(x^2-25)-2/(x+5)	$\frac{3}{x^{2} - 25} - \frac{2}{x + 5}$
234964	Simplify	(24a^12b^6)^0(7a^6b)^-1	${(24 a^{12} b^{6})}^{0} {(7 a^{6} b)}^{- 1}$
234965	Find the Product	(7-4n)*6	$(7 - 4 n) \cdot 6$
234966	Evaluate Using the Given Value	2a+ac^2-a^2c-2c for a=1 1/3 and c=-1 2/3	$2 a + a c^{2} - a^{2} c - 2 c$ for $a = 1 \frac{1}{3}$ and $c = - 1 \frac{2}{3}$
234967	Solve the Inequality for x	5\|x+3\|-7<=13	$5 \| x + 3 \| - 7 \leq 13$
234968	Simplify	(x^2)/( square root of 12x^3)	$\frac{x^{2}}{\sqrt{12 x^{3}}}$
234969	Solve for x	(x^2-8x+15)/(x-5)=2	$\frac{x^{2} - 8 x + 15}{x - 5} = 2$
234970	Factor	5x^2(x-2y)-15x(x-2y)	$5 x^{2} (x - 2 y) - 15 x (x - 2 y)$
234971	Simplify	(((2x^3)^2(4x^4)^2)/(8x^6))^3-312x^8	${(\frac{{(2 x^{3})}^{2} {(4 x^{4})}^{2}}{8 x^{6}})}^{3} - 312 x^{8}$
234972	Evaluate	-6-4(3*2)+5^2	$- 6 - 4 (3 \cdot 2) + 5^{2}$
234973	Simplify	2/( square root of 18q^3)	$\frac{2}{\sqrt{18 q^{3}}}$
234974	Solve for a	19/4-3 1/2a=-1/4a+3/2	$\frac{19}{4} - 3 \frac{1}{2} a = - \frac{1}{4} a + \frac{3}{2}$
234975	Evaluate the Function	g(-3)=-2(-3)^3-5	$g (- 3) = - 2 {(- 3)}^{3} - 5$
234976	Solve for x	y^2=x^2	$y^{2} = x^{2}$
234977	Evaluate	-5/8+1/4(-4/5)	$- \frac{5}{8} + \frac{1}{4} (- \frac{4}{5})$
234978	Evaluate	6/( square root of 9-(6)^2)	$\frac{6}{\sqrt{9 - {(6)}^{2}}}$
234979	Simplify	5/6+7/10	$\frac{5}{6} + \frac{7}{10}$
234980	Graph	y>=4x-3 y>=2x+4 x<=2	$y \geq 4 x - 3$ $y \geq 2 x + 4$ $x \leq 2$
234981	Simplify	-8y-(x-4x)+3y	$- 8 y - (x - 4 x) + 3 y$
234982	Solve the System of Equations	3x+y=-9 3x+y=-4	$3 x + y = - 9$ $3 x + y = - 4$
234983	Evaluate	-1+3(((10-12)^3)÷(-16))	$- 1 + 3 ({(10 - 12)}^{3} \div (- 16))$
234984	Evaluate	(3x-12)/(3x)=(4x^2-9)/(4x^2-16x+15)	$\frac{3 x - 12}{3 x} = \frac{4 x^{2} - 9}{4 x^{2} - 16 x + 15}$
234985	Solve for x	1/3x-3<-1 5/6	$\frac{1}{3} x - 3 < - 1 \frac{5}{6}$
234986	Solve for z	-z/4=24	$- \frac{z}{4} = 24$
234987	Solve for c	c^3=27	$c^{3} = 27$
234988	Write the Fraction in Simplest Form	(4c^3b^4)/(2(cb^-3)^-5)	$\frac{4 c^{3} b^{4}}{2 {(c b^{- 3})}^{- 5}}$
234989	Divide	(1.0910^12)/(2.1810^10)	$\frac{1.09 \cdot 10^{12}}{2.18 \cdot 10^{10}}$
234990	Find the Product	(m^2-n)(m^2+2n^2)	$(m^{2} - n) (m^{2} + 2 n^{2})$
234991	Simplify	(x^2+10x+24)/(x^2+5x+4)(x^3-64x)/(x^3-64x)(x+1)/(x^3+14x^2+48x)	$\frac{x^{2} + 10 x + 24}{x^{2} + 5 x + 4} \cdot \frac{x^{3} - 64 x}{x^{3} - 64 x} \cdot \frac{x + 1}{x^{3} + 14 x^{2} + 48 x}$
234992	Solve for x	x^4-4x^2+2=0	$x^{4} - 4 x^{2} + 2 = 0$
234993	Simplify	3 fourth root of 16y+5 fourth root of y-2 fourth root of 81y	$3 \sqrt[4]{16 y} + 5 \sqrt[4]{y} - 2 \sqrt[4]{81 y}$
234994	Solve for n	-8(2+7n)=-6n+34	$- 8 (2 + 7 n) = - 6 n + 34$
234995	Solve the Rational Equation for x	-2 square root of 6x+3=-18	$- 2 \sqrt{6 x + 3} = - 18$
234996	Simplify	( cube root of x^6)/( fifth root of x^6)	$\frac{\sqrt[3]{x^{6}}}{\sqrt[5]{x^{6}}}$
234997	Evaluate	4pi*90/360	$4 π \cdot \frac{90}{360}$
234998	Solve for x	4^x-11=3.2x+13	$4^{x} - 11 = 3.2 x + 13$
234999	Graph	31>2x+7>27	$31 > 2 x + 7 > 27$
235000	Solve the Inequality for s	2>=s-2	$2 \geq s - 2$