Mathway | Popular Problems

Popular Problems

Rank	Topic	Problem	Formatted Problem
173901	Find the Exact Value	(3-8)+(5-(-2))	$(3 - 8) + (5 - (- 2))$
173902	Simplify	-10+(6-5i)-9i	$- 10 + (6 - 5 i) - 9 i$
173903	Evaluate	2/x+4/x	$\frac{2}{x} + \frac{4}{x}$
173904	Find the Expanded Form	2(x-6)^2-(y-2)^2=16	$2 {(x - 6)}^{2} - {(y - 2)}^{2} = 16$
173905	Find the Inverse	f(x)=8 square root of x ; for x>=0	$f (x) = 8 \sqrt{x}$ ; for $x \geq 0$
173906	Solve for x	square root of 2x+10-2 square root of x=0	$\sqrt{2 x + 10} - 2 \sqrt{x} = 0$
173907	Solve the Inequality for x	(4x-9)^4(x-1)^3(x+1)<=0	${(4 x - 9)}^{4} {(x - 1)}^{3} (x + 1) \leq 0$
173908	Find the Domain and Range	h(x)=-1/2(x-4)^2+3	$h (x) = - \frac{1}{2} {(x - 4)}^{2} + 3$
173909	Evaluate	17-5(3(2^2-6)-12)+4	$17 - 5 (3 (2^{2} - 6) - 12) + 4$
173910	Solve the System of Equations	(2x+5)/17-(5-y)=-60 (y+62)/2-(1-x)=40	$\frac{2 x + 5}{17} - (5 - y) = - 60$ $\frac{y + 62}{2} - (1 - x) = 40$
173911	Solve by Substitution	y=-x^2+x-5 y=x-5	$y = - x^{2} + x - 5$ $y = x - 5$
173912	Combine Like Terms	(3z^5+7z^2)^2	${(3 z^{5} + 7 z^{2})}^{2}$
173913	Solve for v	28v-17v-8v-3=54	$28 v - 17 v - 8 v - 3 = 54$
173914	Simplify	(sec(x)sin(x))/(tan(x))	$\frac{\sec (x) \sin (x)}{\tan (x)}$
173915	Simplify	(4)+(14-4i)	$(4) + (14 - 4 i)$
173916	Find the Exact Value	(tan(15 degrees )+tan(15 degrees ))/(1-tan(15 degrees )tan(15 degrees ))	$\frac{\tan (15 °) + \tan (15 °)}{1 - \tan (15 °) \tan (15 °)}$
173917	Simplify	(5x^3+x)/x	$\frac{5 x^{3} + x}{x}$
173918	Subtract	3/(m+6)-(4m)/(m-6)	$\frac{3}{m + 6} - \frac{4 m}{m - 6}$
173919	Solve Using the Quadratic Formula	1/2u^2+3/4u=-1/5	$\frac{1}{2} u^{2} + \frac{3}{4} u = - \frac{1}{5}$
173920	Solve for c	2c^4-6c^3=12c^2-36c	$2 c^{4} - 6 c^{3} = 12 c^{2} - 36 c$
173921	Graph Using a Table of Values	f(x) = log base 1/2 of x	$f (x) = \log_{\frac{1}{2}} (x)$
173922	Solve for x	x^3+1=9	$x^{3} + 1 = 9$
173923	Simplify	(16/(x-2))/(4/(x+1)+6/x)	$\frac{\frac{16}{x - 2}}{\frac{4}{x + 1} + \frac{6}{x}}$
173924	Find the Exact Value	(2pi)/(pi/2)	$\frac{2 π}{\frac{π}{2}}$
173925	Solve for a	a/(a-1)=-4/3	$\frac{a}{a - 1} = - \frac{4}{3}$
173926	Evaluate	(1+(1/100))^100	${(1 + (\frac{1}{100}))}^{100}$
173927	Multiply	2/(x+1)*5/(3x)	$\frac{2}{x + 1} \cdot \frac{5}{3 x}$
173928	Graph	f(x)=x^3-x^2+1	$f (x) = x^{3} - x^{2} + 1$
173929	Solve for b	a=b/(c^2)	$a = \frac{b}{c^{2}}$
173930	Graph Using a Table of Values	y=-3^x	$y = - 3^{x}$
173931	Simplify	-7(-a^2)^2(-b^3)	$- 7 {(- a^{2})}^{2} (- b^{3})$
173932	Solve for x	2+ square root of 2x-3 = square root of x+7	$2 + \sqrt{2 x - 3} = \sqrt{x + 7}$
173933	Simplify	(cos(theta))/(1-sin(theta))*(1+sin(theta))/(1+sin(theta))	$\frac{\cos (θ)}{1 - \sin (θ)} \cdot \frac{1 + \sin (θ)}{1 + \sin (θ)}$
173934	Solve for v	p=mv	$p = m v$
173935	Solve for x	natural log of (2x+4)/5=3	$\ln (\frac{2 x + 4}{5}) = 3$
173936	Graph	-3(r-4)>=0	$- 3 (r - 4) \geq 0$
173937	Solve for v	14v+16v-30v+5v=45	$14 v + 16 v - 30 v + 5 v = 45$
173938	Identify the Sequence	1/8 , 1/4 , 3/8 , 1/2	$\frac{1}{8}$ , $\frac{1}{4}$ , $\frac{3}{8}$ , $\frac{1}{2}$
173939	Simplify	7 1/2÷(4 1/2-5 1/8)	$7 \frac{1}{2} \div (4 \frac{1}{2} - 5 \frac{1}{8})$
173940	Solve for x	x+y=-9 x+2y=-25	$x + y = - 9$ $x + 2 y = - 25$
173941	Solve for x	x-(3x)/(x+6)=2	$x - \frac{3 x}{x + 6} = 2$
173942	Solve Using the Quadratic Formula	f(x)=2x^2-x-5	$f (x) = 2 x^{2} - x - 5$
173943	Solve for x	-4+\|8-8x\|=52	$- 4 + \| 8 - 8 x \| = 52$
173944	Find the Inverse	f(x)=(x-3)^(1/2)	$f (x) = {(x - 3)}^{\frac{1}{2}}$
173945	Solve the Inequality for a	5a-2<18	$5 a - 2 < 18$
173946	Simplify	square root of 4- square root of -180- square root of 25- square root of -5	$\sqrt{4} - \sqrt{- 180} - \sqrt{25} - \sqrt{- 5}$
173947	Solve for r	F=(Gm_1m_2)/(r^2)	$F = \frac{G m_{1} m_{2}}{r^{2}}$
173948	Solve for x	4/(3x+1)=x/(2x+10)	$\frac{4}{3 x + 1} = \frac{x}{2 x + 10}$
173949	Simplify	2x+7x+x-8x	$2 x + 7 x + x - 8 x$
173950	Solve for x	2-x=2(3-1/4x)	$2 - x = 2 (3 - \frac{1}{4} x)$
173951	Factor	4x^4-13x^2+9	$4 x^{4} - 13 x^{2} + 9$
173952	Find the Exact Value	7^-1	$7^{- 1}$
173953	Simplify	9.6m+7.22n+(-2.19m)+(-0.65n)	$9.6 m + 7.22 n + (- 2.19 m) + (- 0.65 n)$
173954	Solve for x	x-(3x+5)/(x+7)=7	$x - \frac{3 x + 5}{x + 7} = 7$
173955	Write in Standard Form	x(x+3)=4	$x (x + 3) = 4$
173956	Simplify	(5y)/(y+10)+(8y^2)/(y^2-100)-9/(y-10)	$\frac{5 y}{y + 10} + \frac{8 y^{2}}{y^{2} - 100} - \frac{9}{y - 10}$
173957	Simplify	(5(t^-4x^-5)^-1)/(3t^4x^-1)	$\frac{5 {(t^{- 4} x^{- 5})}^{- 1}}{3 t^{4} x^{- 1}}$
173958	Simplify	(-6a^4b^3)^2*-2ab^5	${(- 6 a^{4} b^{3})}^{2} \cdot - 2 a b^{5}$
173959	Solve for x	x square root of x=1/8	$x \sqrt{x} = \frac{1}{8}$
173960	Simplify	(3x^10c^10)/(-4(x^3c^2)^-4)	$\frac{3 x^{10} c^{10}}{- 4 {(x^{3} c^{2})}^{- 4}}$
173961	Factor by Grouping	x^4+x^2-20	$x^{4} + x^{2} - 20$
173962	Solve for n	-2+5n=4n+2	$- 2 + 5 n = 4 n + 2$
173963	Solve the Inequality for x	-x/2<=1	$- \frac{x}{2} \leq 1$
173964	Find the Inverse	g(x)=1/(3x)-7	$g (x) = \frac{1}{3 x} - 7$
173965	Simplify	-1^5	$- 1^{5}$
173966	Find f(g(x))	f(x)=2x+1 g(x)=(x-1)/2	$f (x) = 2 x + 1$ $g (x) = \frac{x - 1}{2}$
173967	Solve for b	1/5(15b-7)=3b-9	$\frac{1}{5} (15 b - 7) = 3 b - 9$
173968	Solve for x	3/(x+5)=1/(x+2)	$\frac{3}{x + 5} = \frac{1}{x + 2}$
173969	Simplify	(y-6)/(y^2+4y-32)*(y-4)/(y+2)	$\frac{y - 6}{y^{2} + 4 y - 32} \cdot \frac{y - 4}{y + 2}$
173970	Graph	f(x)=-2x-4 if x<=2; 4x-9 if x>2	$f (x) = {\begin{cases} - 2 x - 4 & x \leq 2 \\ 4 x - 9 & x > 2 \end{cases}$
173971	Graph	y=1/2(x+2)^2-1	$y = \frac{1}{2} {(x + 2)}^{2} - 1$
173972	Combine Like Terms	(9n^7-1)^2	${(9 n^{7} - 1)}^{2}$
173973	Solve for x	2/(x^2-x)=1/(x-1)	$\frac{2}{x^{2} - x} = \frac{1}{x - 1}$
173974	Find the Product	(10x^3-9xy^5)^2	${(10 x^{3} - 9 x y^{5})}^{2}$
173975	Describe the Transformation	g(x)=1/2f(x)	$g (x) = \frac{1}{2} f (x)$
173976	Solve the Inequality for h	25h+125<=500	$25 h + 125 \leq 500$
173977	Simplify	-c+5d+7c-11d+d-3c	$- c + 5 d + 7 c - 11 d + d - 3 c$
173978	Evaluate	(10+2-2)*6-1	$(10 + 2 - 2) \cdot 6 - 1$
173979	Solve for θ	2sin(theta)=- square root of 3	$2 \sin (θ) = - \sqrt{3}$
173980	Find the First Term	n+5	$n + 5$
173981	Graph	{}	${}$
173982	Simplify	8(4 square root of 7- square root of 18)	$8 (4 \sqrt{7} - \sqrt{18})$
173983	Write in Standard Form	-3x-12=x-3x^2	$- 3 x - 12 = x - 3 x^{2}$
173984	Simplify	1/(2x+1)+5	$\frac{1}{2 x + 1} + 5$
173985	Evaluate	(x+h)/((x+h)^2+1)	$\frac{(x + h)}{{(x + h)}^{2} + 1}$
173986	Solve for x	5=1/x-1/(x^2+x)	$5 = \frac{1}{x} - \frac{1}{x^{2} + x}$
173987	Graph	m-2<-8 or m/8>1	$m - 2 < - 8$ or $\frac{m}{8} > 1$
173988	Solve for x	1^x=2	$1^{x} = 2$
173989	Solve the System of Inequalities	8r-5>=6r-1 or 4+4r<=3r-3	$8 r - 5 \geq 6 r - 1$ or $4 + 4 r \leq 3 r - 3$
173990	Evaluate	(a+b)^2=a^2+2ab+b^2	${(a + b)}^{2} = a^{2} + 2 a b + b^{2}$
173991	Solve for x	-2(x+4)+3x=x-8	$- 2 (x + 4) + 3 x = x - 8$
173992	Solve for x	7^2+7^2=x^2	$7^{2} + 7^{2} = x^{2}$
173993	Find All Complex Solutions	8cos(theta)^2=2	$8 \cos^{2} (θ) = 2$
173994	Simplify	((x^6y^-9)/(x^-3y^6))^(1/3)	${(\frac{x^{6} y^{- 9}}{x^{- 3} y^{6}})}^{\frac{1}{3}}$
173995	Solve the Inequality for x	x(x+2)^2(2x-5)>=0	$x {(x + 2)}^{2} (2 x - 5) \geq 0$
173996	Simplify	fourth root of (81x^15)/625	$\sqrt[4]{\frac{81 x^{15}}{625}}$
173997	Graph	[[x]]	$[\begin{array}{c} x \end{array}]$
173998	Solve for x	x^2>=0	$x^{2} \geq 0$
173999	Solve by Factoring	1-x^2=0	$1 - x^{2} = 0$
174000	Solve for x	5(x-4)-3(x+2)=2(x-8)	$5 (x - 4) - 3 (x + 2) = 2 (x - 8)$