Mathway | Popular Problems

Popular Problems

Rank	Topic	Problem	Formatted Problem
173901	Find the Exact Value	(tan(15 degrees )+tan(15 degrees ))/(1-tan(15 degrees )tan(15 degrees ))	$\frac{\tan (15 °) + \tan (15 °)}{1 - \tan (15 °) \tan (15 °)}$
173902	Simplify	(5x^3+x)/x	$\frac{5 x^{3} + x}{x}$
173903	Subtract	3/(m+6)-(4m)/(m-6)	$\frac{3}{m + 6} - \frac{4 m}{m - 6}$
173904	Solve Using the Quadratic Formula	1/2u^2+3/4u=-1/5	$\frac{1}{2} u^{2} + \frac{3}{4} u = - \frac{1}{5}$
173905	Solve for c	2c^4-6c^3=12c^2-36c	$2 c^{4} - 6 c^{3} = 12 c^{2} - 36 c$
173906	Graph Using a Table of Values	f(x) = log base 1/2 of x	$f (x) = \log_{\frac{1}{2}} (x)$
173907	Solve for x	x^3+1=9	$x^{3} + 1 = 9$
173908	Simplify	(16/(x-2))/(4/(x+1)+6/x)	$\frac{\frac{16}{x - 2}}{\frac{4}{x + 1} + \frac{6}{x}}$
173909	Find the Exact Value	(2pi)/(pi/2)	$\frac{2 π}{\frac{π}{2}}$
173910	Solve for a	a/(a-1)=-4/3	$\frac{a}{a - 1} = - \frac{4}{3}$
173911	Evaluate	(1+(1/100))^100	${(1 + (\frac{1}{100}))}^{100}$
173912	Multiply	2/(x+1)*5/(3x)	$\frac{2}{x + 1} \cdot \frac{5}{3 x}$
173913	Graph	f(x)=x^3-x^2+1	$f (x) = x^{3} - x^{2} + 1$
173914	Solve for b	a=b/(c^2)	$a = \frac{b}{c^{2}}$
173915	Graph Using a Table of Values	y=-3^x	$y = - 3^{x}$
173916	Simplify	-7(-a^2)^2(-b^3)	$- 7 {(- a^{2})}^{2} (- b^{3})$
173917	Solve for x	2+ square root of 2x-3 = square root of x+7	$2 + \sqrt{2 x - 3} = \sqrt{x + 7}$
173918	Simplify	(cos(theta))/(1-sin(theta))*(1+sin(theta))/(1+sin(theta))	$\frac{\cos (θ)}{1 - \sin (θ)} \cdot \frac{1 + \sin (θ)}{1 + \sin (θ)}$
173919	Solve for v	p=mv	$p = m v$
173920	Solve for x	natural log of (2x+4)/5=3	$\ln (\frac{2 x + 4}{5}) = 3$
173921	Graph	-3(r-4)>=0	$- 3 (r - 4) \geq 0$
173922	Solve for v	14v+16v-30v+5v=45	$14 v + 16 v - 30 v + 5 v = 45$
173923	Identify the Sequence	1/8 , 1/4 , 3/8 , 1/2	$\frac{1}{8}$ , $\frac{1}{4}$ , $\frac{3}{8}$ , $\frac{1}{2}$
173924	Simplify	7 1/2÷(4 1/2-5 1/8)	$7 \frac{1}{2} \div (4 \frac{1}{2} - 5 \frac{1}{8})$
173925	Solve for x	x+y=-9 x+2y=-25	$x + y = - 9$ $x + 2 y = - 25$
173926	Solve for x	x-(3x)/(x+6)=2	$x - \frac{3 x}{x + 6} = 2$
173927	Solve Using the Quadratic Formula	f(x)=2x^2-x-5	$f (x) = 2 x^{2} - x - 5$
173928	Solve for x	-4+\|8-8x\|=52	$- 4 + \| 8 - 8 x \| = 52$
173929	Find the Inverse	f(x)=(x-3)^(1/2)	$f (x) = {(x - 3)}^{\frac{1}{2}}$
173930	Solve the Inequality for a	5a-2<18	$5 a - 2 < 18$
173931	Simplify	square root of 4- square root of -180- square root of 25- square root of -5	$\sqrt{4} - \sqrt{- 180} - \sqrt{25} - \sqrt{- 5}$
173932	Solve for r	F=(Gm_1m_2)/(r^2)	$F = \frac{G m_{1} m_{2}}{r^{2}}$
173933	Solve for x	4/(3x+1)=x/(2x+10)	$\frac{4}{3 x + 1} = \frac{x}{2 x + 10}$
173934	Simplify	2x+7x+x-8x	$2 x + 7 x + x - 8 x$
173935	Solve for x	2-x=2(3-1/4x)	$2 - x = 2 (3 - \frac{1}{4} x)$
173936	Factor	4x^4-13x^2+9	$4 x^{4} - 13 x^{2} + 9$
173937	Find the Exact Value	7^-1	$7^{- 1}$
173938	Simplify	9.6m+7.22n+(-2.19m)+(-0.65n)	$9.6 m + 7.22 n + (- 2.19 m) + (- 0.65 n)$
173939	Solve for x	x-(3x+5)/(x+7)=7	$x - \frac{3 x + 5}{x + 7} = 7$
173940	Write in Standard Form	x(x+3)=4	$x (x + 3) = 4$
173941	Simplify	(5y)/(y+10)+(8y^2)/(y^2-100)-9/(y-10)	$\frac{5 y}{y + 10} + \frac{8 y^{2}}{y^{2} - 100} - \frac{9}{y - 10}$
173942	Simplify	(5(t^-4x^-5)^-1)/(3t^4x^-1)	$\frac{5 {(t^{- 4} x^{- 5})}^{- 1}}{3 t^{4} x^{- 1}}$
173943	Simplify	(-6a^4b^3)^2*-2ab^5	${(- 6 a^{4} b^{3})}^{2} \cdot - 2 a b^{5}$
173944	Solve for x	x square root of x=1/8	$x \sqrt{x} = \frac{1}{8}$
173945	Simplify	(3x^10c^10)/(-4(x^3c^2)^-4)	$\frac{3 x^{10} c^{10}}{- 4 {(x^{3} c^{2})}^{- 4}}$
173946	Factor by Grouping	x^4+x^2-20	$x^{4} + x^{2} - 20$
173947	Solve for n	-2+5n=4n+2	$- 2 + 5 n = 4 n + 2$
173948	Solve the Inequality for x	-x/2<=1	$- \frac{x}{2} \leq 1$
173949	Find the Inverse	g(x)=1/(3x)-7	$g (x) = \frac{1}{3 x} - 7$
173950	Simplify	-1^5	$- 1^{5}$
173951	Find f(g(x))	f(x)=2x+1 g(x)=(x-1)/2	$f (x) = 2 x + 1$ $g (x) = \frac{x - 1}{2}$
173952	Solve for b	1/5(15b-7)=3b-9	$\frac{1}{5} (15 b - 7) = 3 b - 9$
173953	Solve for x	3/(x+5)=1/(x+2)	$\frac{3}{x + 5} = \frac{1}{x + 2}$
173954	Simplify	(y-6)/(y^2+4y-32)*(y-4)/(y+2)	$\frac{y - 6}{y^{2} + 4 y - 32} \cdot \frac{y - 4}{y + 2}$
173955	Graph	f(x)=-2x-4 if x<=2; 4x-9 if x>2	$f (x) = {\begin{cases} - 2 x - 4 & x \leq 2 \\ 4 x - 9 & x > 2 \end{cases}$
173956	Graph	y=1/2(x+2)^2-1	$y = \frac{1}{2} {(x + 2)}^{2} - 1$
173957	Combine Like Terms	(9n^7-1)^2	${(9 n^{7} - 1)}^{2}$
173958	Solve for x	2/(x^2-x)=1/(x-1)	$\frac{2}{x^{2} - x} = \frac{1}{x - 1}$
173959	Find the Product	(10x^3-9xy^5)^2	${(10 x^{3} - 9 x y^{5})}^{2}$
173960	Describe the Transformation	g(x)=1/2f(x)	$g (x) = \frac{1}{2} f (x)$
173961	Solve the Inequality for h	25h+125<=500	$25 h + 125 \leq 500$
173962	Simplify	-c+5d+7c-11d+d-3c	$- c + 5 d + 7 c - 11 d + d - 3 c$
173963	Evaluate	(10+2-2)*6-1	$(10 + 2 - 2) \cdot 6 - 1$
173964	Solve for θ	2sin(theta)=- square root of 3	$2 \sin (θ) = - \sqrt{3}$
173965	Find the First Term	n+5	$n + 5$
173966	Graph	{}	${}$
173967	Simplify	8(4 square root of 7- square root of 18)	$8 (4 \sqrt{7} - \sqrt{18})$
173968	Write in Standard Form	-3x-12=x-3x^2	$- 3 x - 12 = x - 3 x^{2}$
173969	Simplify	1/(2x+1)+5	$\frac{1}{2 x + 1} + 5$
173970	Evaluate	(x+h)/((x+h)^2+1)	$\frac{(x + h)}{{(x + h)}^{2} + 1}$
173971	Solve for x	5=1/x-1/(x^2+x)	$5 = \frac{1}{x} - \frac{1}{x^{2} + x}$
173972	Graph	m-2<-8 or m/8>1	$m - 2 < - 8$ or $\frac{m}{8} > 1$
173973	Solve for x	1^x=2	$1^{x} = 2$
173974	Solve the System of Inequalities	8r-5>=6r-1 or 4+4r<=3r-3	$8 r - 5 \geq 6 r - 1$ or $4 + 4 r \leq 3 r - 3$
173975	Evaluate	(a+b)^2=a^2+2ab+b^2	${(a + b)}^{2} = a^{2} + 2 a b + b^{2}$
173976	Solve for x	-2(x+4)+3x=x-8	$- 2 (x + 4) + 3 x = x - 8$
173977	Solve for x	7^2+7^2=x^2	$7^{2} + 7^{2} = x^{2}$
173978	Find All Complex Solutions	8cos(theta)^2=2	$8 \cos^{2} (θ) = 2$
173979	Simplify	((x^6y^-9)/(x^-3y^6))^(1/3)	${(\frac{x^{6} y^{- 9}}{x^{- 3} y^{6}})}^{\frac{1}{3}}$
173980	Solve the Inequality for x	x(x+2)^2(2x-5)>=0	$x {(x + 2)}^{2} (2 x - 5) \geq 0$
173981	Simplify	fourth root of (81x^15)/625	$\sqrt[4]{\frac{81 x^{15}}{625}}$
173982	Graph	[[x]]	$[\begin{array}{c} x \end{array}]$
173983	Solve for x	x^2>=0	$x^{2} \geq 0$
173984	Solve by Factoring	1-x^2=0	$1 - x^{2} = 0$
173985	Solve for x	5(x-4)-3(x+2)=2(x-8)	$5 (x - 4) - 3 (x + 2) = 2 (x - 8)$
173986	Simplify	(2x+4)/(2/(x^2)+1/x)	$\frac{2 x + 4}{\frac{2}{x^{2}} + \frac{1}{x}}$
173987	Solve for x	7=-x^2-4x	$7 = - x^{2} - 4 x$
173988	Factor	x^4-4x+3	$x^{4} - 4 x + 3$
173989	Graph	y=1/2sin(x-pi/2)	$y = \frac{1}{2} \sin (x - \frac{π}{2})$
173990	Divide Using Long Polynomial Division	(11x-20x^2+12x^3-14)/(x-2)	$\frac{11 x - 20 x^{2} + 12 x^{3} - 14}{x - 2}$
173991	Solve for x	-3/(x-3)=1-2/(x+7)	$\frac{- 3}{x - 3} = 1 - \frac{2}{x + 7}$
173992	Graph	-2.4(x-6)>=52.8	$- 2.4 (x - 6) \geq 52.8$
173993	Solve the System of Inequalities	-1-10a<-1 or 10+3a<=-5	$- 1 - 10 a < - 1$ or $10 + 3 a \leq - 5$
173994	Solve the Inequality for c	(2c)/3+1>7	$\frac{2 c}{3} + 1 > 7$
173995	Solve for k	k = square root of 10+3k-4	$k = \sqrt{10 + 3 k} - 4$
173996	Solve the System of Inequalities	y<=3x+1 x-y>1	$y \leq 3 x + 1$ $x - y > 1$
173997	Graph	f(x)=asin(x)	$f (x) = a \sin (x)$
173998	Solve the Inequality for x	x-2>0	$x - 2 > 0$
173999	Solve for n	n^2-6n=0	$n^{2} - 6 n = 0$
174000	Find the Exact Value	sin(pi/2)^2	$\sin^{2} (\frac{π}{2})$