Mathway | Popular Problems

Popular Problems

Rank	Topic	Problem	Formatted Problem
229901	Evaluate	( square root of a+ square root of b)( square root of a- square root of b)	$(\sqrt{a} + \sqrt{b}) (\sqrt{a} - \sqrt{b})$
229902	Find the Roots (Zeros)	f(x)=(6x^2+3)/(x-1)	$f (x) = \frac{6 x^{2} + 3}{x - 1}$
229903	Solve for c	5/9(f-32)=c	$\frac{5}{9} (f - 32) = c$
229904	Simplify	(3x^5)^2*2x^-3	${(3 x^{5})}^{2} \cdot 2 x^{- 3}$
229905	Evaluate	-8x<48	$- 8 x < 48$
229906	Solve the Inequality for x	3/(2x-1)>-5/x	$\frac{3}{2 x - 1} > \frac{- 5}{x}$
229907	Simplify	(m/(n^2))^-2	${(\frac{m}{n^{2}})}^{- 2}$
229908	Simplify	(n^4q^4w^6)/(q^2n^3w)	$\frac{n^{4} q^{4} w^{6}}{q^{2} n^{3} w}$
229909	Solve for x	-8x+3-2x=-6x+3-4x	$- 8 x + 3 - 2 x = - 6 x + 3 - 4 x$
229910	Solve for x	x^2-e^x+3=1	$x^{2} - e^{x} + 3 = 1$
229911	Solve the System of Inequalities	2x-2<4 or 3x-1>8	$2 x - 2 < 4$ or $3 x - 1 > 8$
229912	Simplify the Radical Expression	sixth root of (64h^12)/(g^6)	$\sqrt[6]{\frac{64 h^{12}}{g^{6}}}$
229913	Multiply	square root of 2* square root of 6* square root of 10	$\sqrt{2} \cdot \sqrt{6} \cdot \sqrt{10}$
229914	Evaluate Using the Given Value	Solve P=2l+2w for l	Solve $P = 2 l + 2 w$ for $l$
229915	Solve the Absolute Value Inequality for x	\|x-3\|=\|3-x\|	$\| x - 3 \| = \| 3 - x \|$
229916	Solve the System of Inequalities	x-y>3 x>=6	$x - y > 3$ $x \geq 6$
229917	Evaluate	(x^2y^8)^(2/3)	${(x^{2} y^{8})}^{\frac{2}{3}}$
229918	Solve for θ	2sin(theta)^2=sin(theta)+1	$2 \sin^{2} (θ) = \sin (θ) + 1$
229919	Solve the Inequality for r	\|3-2r\|>7	$\| 3 - 2 r \| > 7$
229920	Simplify	(3a^2+a-1)/(a^2-2a+1)-(2a^2-a+2)/(a^2-2a+1)	$\frac{3 a^{2} + a - 1}{a^{2} - 2 a + 1} - \frac{2 a^{2} - a + 2}{a^{2} - 2 a + 1}$
229921	Find the x and y Intercepts	n(x)=-4^(5-2x)+3	$n (x) = - 4^{5 - 2 x} + 3$
229922	Evaluate Using the Given Value	p^3 at p=2	$p^{3}$ at $p = 2$
229923	Simplify	((8ab^-3)/(b^5))^2	${(\frac{8 a b^{- 3}}{b^{5}})}^{2}$
229924	Solve Using the Quadratic Formula	x-x^2+42=0	$x - x^{2} + 42 = 0$
229925	Evaluate	(1/2)^2+21/21/3+(1/3)^2	${(\frac{1}{2})}^{2} + 2 \cdot \frac{1}{2} \cdot \frac{1}{3} + {(\frac{1}{3})}^{2}$
229926	Simplify	f(x)=2 square root of 0	$f (x) = 2 \sqrt{0}$
229927	Solve for x	log base b of x+ log base b of 3 = log base b of 27-1	$\log_{b} (x) + \log_{b} (3) = \log_{b} (27) - 1$
229928	Graph	2x-y>=5 7x+y>=4	$2 x - y \geq 5$ $7 x + y \geq 4$
229929	Simplify	sec(45 degrees )	$\sec (45 °)$
229930	Evaluate the Function	h(0)=1/2(-2)	$h (0) = \frac{1}{2} (- 2)$
229931	Describe the Transformation	h(x)=1/3(x-1)^2+2	$h (x) = \frac{1}{3} {(x - 1)}^{2} + 2$
229932	Find the Second Term	t_n=2n^2-n	$t_{n} = 2 n^{2} - n$
229933	Find the Fourth Term	1- square root of 2 , 1 , 1+ square root of 2	$1 - \sqrt{2}$ , $1$ , $1 + \sqrt{2}$
229934	Simplify	(x^2+y^2x+z)-(-x+xy^2-z)	$(x^{2} + y^{2} x + z) - (- x + x y^{2} - z)$
229935	Write in Standard Form	2x+3x^-1-5	$2 x + 3 x^{- 1} - 5$
229936	Describe the Transformation	y=2 square root of x-3	$y = 2 \sqrt{x - 3}$
229937	Find the Inverse	f(x)=(( seventh root of x)/10)^5+1	$f (x) = {(\frac{\sqrt[7]{x}}{10})}^{5} + 1$
229938	Determine if Linear	4x^4+12=y	$4 x^{4} + 12 = y$
229939	Graph	5x-y>=5 and y<4	$5 x - y \geq 5$ and $y < 4$
229940	Graph	x<=-1 and y<=-0.4x+2	$x \leq - 1$ and $y \leq - 0.4 x + 2$
229941	Solve the System of Equations	5x-3y-10=0 x+y-7=0	$5 x - 3 y - 10 = 0$ $x + y - 7 = 0$
229942	Simplify	(3/(7x^2))÷(5/(4x^2))	$\frac{3}{7 x^{2}} \div \frac{5}{4 x^{2}}$
229943	Divide Using Synthetic Division	(6x^3+5x^2+9)/(2x+3)	$\frac{6 x^{3} + 5 x^{2} + 9}{2 x + 3}$
229944	Simplify	((4n)/(n-6))÷((4n)/(8n-48))	$\frac{4 n}{n - 6} \div \frac{4 n}{8 n - 48}$
229945	Factor	30m^6+15mn^2-25	$30 m^{6} + 15 m n^{2} - 25$
229946	Simplify	(2x+5)/7-x/7	$\frac{2 x + 5}{7} - \frac{x}{7}$
229947	Solve for a	ax-4(3+2x)=-12	$a x - 4 (3 + 2 x) = - 12$
229948	Solve for y	3/4=-1/2-y	$\frac{3}{4} = - \frac{1}{2} - y$
229949	Graph	y=xe^(-x^2)	$y = x e^{- x^{2}}$
229950	Find the Third Term	t_n=2n^2-n	$t_{n} = 2 n^{2} - n$
229951	Multiply	6(-4)(-5/6)(-3/4)	$6 (- 4) (- \frac{5}{6}) (- \frac{3}{4})$
229952	Graph	7/3-1/2x>=7/6+x	$\frac{7}{3} - \frac{1}{2} x \geq \frac{7}{6} + x$
229953	Evaluate	(7(5)^(5/3))/(49(5)^(2/3))	$\frac{7 {(5)}^{\frac{5}{3}}}{49 {(5)}^{\frac{2}{3}}}$
229954	Solve for x	1/4+1/5=(x-3)/20	$\frac{1}{4} + \frac{1}{5} = \frac{x - 3}{20}$
229955	Solve for m	6-2(15-m)=-3m-4	$6 - 2 (15 - m) = - 3 m - 4$
229956	Simplify the Radical Expression	cube root of 2^4*5^5	$\sqrt[3]{2^{4}} \cdot 5^{5}$
229957	Plot	x-y>5	$x - y > 5$
229958	Solve for n	m/x=p/n	$\frac{m}{x} = \frac{p}{n}$
229959	Simplify	4a^2b^0*4ab^2	$4 a^{2} b^{0} \cdot 4 a b^{2}$
229960	Simplify the Radical Expression	( square root of 10)÷( cube root of 2)	$\sqrt{10} \div \sqrt[3]{2}$
229961	Evaluate	(12^2)^(1/4)	${(12^{2})}^{\frac{1}{4}}$
229962	Multiply	2x^2(x^3+x^2+4x)	$2 x^{2} (x^{3} + x^{2} + 4 x)$
229963	Simplify	(x/2)÷(x/4)	$\frac{x}{2} \div \frac{x}{4}$
229964	Simplify	-(5ab+6a)+(ba-12a)-(7cb-2ab)+(bc+c)	$- (5 a b + 6 a) + (b a - 12 a) - (7 c b - 2 a b) + (b c + c)$
229965	Evaluate	log base 7 of 6+3 log base 7 of 2=x	$\log_{7} (6) + 3 \log_{7} (2) = x$
229966	Write in Standard Form	(x^2-2x-80)-(x-10)	$(x^{2} - 2 x - 80) - (x - 10)$
229967	Simplify	(3+ square root of 3)/( square root of 3-1)	$\frac{3 + \sqrt{3}}{\sqrt{3} - 1}$
229968	Evaluate	cot(360 degrees )	$\cot (360 °)$
229969	Simplify	8(k+m)-15(2k+5m)	$8 (k + m) - 15 (2 k + 5 m)$
229970	Multiply	aa^2a^3	$a \cdot a^{2} \cdot a^{3}$
229971	Solve for x	-9-2(3.2x-9)+2x=-4.9x	$- 9 - 2 (3.2 x - 9) + 2 x = - 4.9 x$
229972	Solve for x	cube root of 5x^2+5x-4- cube root of 6x=0	$\sqrt[3]{5 x^{2} + 5 x - 4} - \sqrt[3]{6 x} = 0$
229973	Simplify	( square root of 5)^-2	${(\sqrt{5})}^{- 2}$
229974	Solve the Inequality for x	4-2x<3(3-x)	$4 - 2 x < 3 (3 - x)$
229975	Evaluate	2^3+3(2)+14÷2	$2^{3} + 3 (2) + 14 \div 2$
229976	Simplify	2a-4b-3(a-2b-2)	$2 a - 4 b - 3 (a - 2 b - 2)$
229977	Solve the Inequality for j	1.5j<-6.6	$1.5 j < - 6.6$
229978	Simplify	(-3^2)	$(- 3^{2})$
229979	Graph	y<e^x	$y < e^{x}$
229980	Graph	x\|x\|>=3	$x \| x \| \geq 3$
229981	Expand Using the Binomial Theorem	(np-1)^4	${(n p - 1)}^{4}$
229982	Solve the Rational Equation for n	4- square root of 3n=0	$4 - \sqrt{3 n} = 0$
229983	Simplify the Radical Expression	square root of 4r^8g^1p^3	$\sqrt{4 r^{8} g^{1} p^{3}}$
229984	Graph	x<7 or x<8	$x < 7$ or $x < 8$
229985	Simplify	(a^-2+a^-1+a^0)/a	$\frac{a^{- 2} + a^{- 1} + a^{0}}{a}$
229986	Divide	( sixth root of 4)÷( cube root of 3)	$\sqrt[6]{4} \div \sqrt[3]{3}$
229987	Simplify	( cube root of 80z)( cube root of 15z^8)	$(\sqrt[3]{80 z}) (\sqrt[3]{15 z^{8}})$
229988	Divide	(-1 1/3)÷2 2/5	$- 1 \frac{1}{3} \div 2 \frac{2}{5}$
229989	Solve for m	8(3m-2)-7m=0	$8 (3 m - 2) - 7 m = 0$
229990	Simplify the Radical Expression	square root of 12-5 square root of 8-7 square root of 20	$\sqrt{12} - 5 \sqrt{8} - 7 \sqrt{20}$
229991	Solve for x	cube root of 18x^2-81x=x	$\sqrt[3]{18 x^{2} - 81 x} = x$
229992	Simplify	( cube root of 12j^3)( cube root of 3j^4)	$(\sqrt[3]{12 j^{3}}) (\sqrt[3]{3 j^{4}})$
229993	Solve for x	-1(2x+4)>=6	$- 1 (2 x + 4) \geq 6$
229994	Simplify	((x^2-16)/(81-x^2)*(2x)/(x^2+10x+24))÷((x-4)/(x^2+15x+54))	$\frac{x^{2} - 16}{81 - x^{2}} \cdot \frac{2 x}{x^{2} + 10 x + 24} \div \frac{x - 4}{x^{2} + 15 x + 54}$
229995	Multiply	(x-5)/(x^4-2x^3)*(x^2-4)/(x^2-3x-10)	$\frac{x - 5}{x^{4} - 2 x^{3}} \cdot \frac{x^{2} - 4}{x^{2} - 3 x - 10}$
229996	Determine if True	cos(-theta)=cos(theta)	$\cos (- θ) = \cos (θ)$
229997	Solve for u	2/(u-5)=6/(3u-15)-4	$\frac{2}{u - 5} = \frac{6}{3 u - 15} - 4$
229998	Evaluate	2(2)^(1/2)	$2 {(2)}^{\frac{1}{2}}$
229999	Determine if True	cos(theta)^2+sin(theta)^2=1	$\cos^{2} (θ) + \sin^{2} (θ) = 1$
230000	Find the Product	(-7c+8d)*0.6	$(- 7 c + 8 d) \cdot 0.6$