Mathway | Popular Problems

Popular Problems

Rank	Topic	Problem	Formatted Problem
162001	Solve for θ	cos(theta)+1=0	$\cos (θ) + 1 = 0$
162002	Solve for a	(3a-1)/8=(a+9)/4	$\frac{3 a - 1}{8} = \frac{a + 9}{4}$
162003	Write in Standard Form	square root of -5* square root of -10	$\sqrt{- 5} \cdot \sqrt{- 10}$
162004	Simplify	square root of 169/(4x^2)	$\sqrt{\frac{169}{4 x^{2}}}$
162005	Simplify	5/(x-1)-(7x)/(x^2+2x-3)	$\frac{5}{x - 1} - \frac{7 x}{x^{2} + 2 x - 3}$
162006	Solve for x	-2(-2x+3)+3x=3(x-1)+1	$- 2 (- 2 x + 3) + 3 x = 3 (x - 1) + 1$
162007	Evaluate	(4!)/((4-3)!3!)	$\frac{4!}{(4 - 3)! 3!}$
162008	Solve the Inequality for x	3x+5<6x-1	$3 x + 5 < 6 x - 1$
162009	Solve the Inequality for t	4(1/2t-2)>2(t-3)	$4 (\frac{1}{2} t - 2) > 2 (t - 3)$
162010	Multiply	3/4*-2	$\frac{3}{4} \cdot - 2$
162011	Solve the Rational Equation for x	(2x-1)/(x+3)=5	$\frac{2 x - 1}{x + 3} = 5$
162012	Simplify	(1+3)^2-10÷2	${(1 + 3)}^{2} - 10 \div 2$
162013	Factor	xy^2+x^3y^4	$x y^{2} + x^{3} y^{4}$
162014	Solve the Inequality for x	((x+13)(x-15))/(x+11)<=0	$\frac{(x + 13) (x - 15)}{x + 11} \leq 0$
162015	Evaluate	6(6)-20-32(1/4)	$6 (6) - 20 - 32 (\frac{1}{4})$
162016	Simplify	-1/-2	$\frac{- 1}{- 2}$
162017	Prove that a Root is on the Interval	f(x)=x^3+7x-2 , [0,10]	$f (x) = x^{3} + 7 x - 2$ , $[0, 10]$
162018	Solve for w	(2x-1)/y=(w+2)/(2z)	$\frac{2 x - 1}{y} = \frac{w + 2}{2 z}$
162019	Find the First Term	a_n=n/(n+1)	$a_{n} = \frac{n}{n + 1}$
162020	Solve the Inequality for x	-3(2x-5)<5(2-x)	$- 3 (2 x - 5) < 5 (2 - x)$
162021	Solve for x	9x+4=-5x+14+13x	$9 x + 4 = - 5 x + 14 + 13 x$
162022	Solve the System of Equations	6x-5y=15 x=y+3	$6 x - 5 y = 15$ $x = y + 3$
162023	Solve for y	(3-y)/4=1/9	$\frac{3 - y}{4} = \frac{1}{9}$
162024	Evaluate	(4^5*4^-7)÷(4^-2)	$4^{5} \cdot 4^{- 7} \div 4^{- 2}$
162025	Evaluate	log base 5 of x=3	$\log_{5} (x) = 3$
162026	Solve for x	2+6x=2(3x+2)-2	$2 + 6 x = 2 (3 x + 2) - 2$
162027	Simplify	(2x^4-10x^3)/(6x)	$\frac{2 x^{4} - 10 x^{3}}{6 x}$
162028	Solve the System of Inequalities	10>2x-4 or 2x-4>=20	$10 > 2 x - 4$ or $2 x - 4 \geq 20$
162029	Solve the System of Inequalities	4x-2<=-26 or -6<4x-2	$4 x - 2 \leq - 26$ or $- 6 < 4 x - 2$
162030	Solve the Inequality for x	3(x-2)+1>=x+2(x+2)	$3 (x - 2) + 1 \geq x + 2 (x + 2)$
162031	Simplify	(4^-3)/(4^-1)	$\frac{4^{- 3}}{4^{- 1}}$
162032	Simplify	(2x+3)/(x-8)+(3x+7)/(x-1)	$\frac{2 x + 3}{x - 8} + \frac{3 x + 7}{x - 1}$
162033	Solve for x	3x+4=7x-(x+17)	$3 x + 4 = 7 x - (x + 17)$
162034	Simplify	square root of 3( square root of 3+x)	$\sqrt{3} (\sqrt{3} + x)$
162035	Solve the Inequality for t	57-4t>=13	$57 - 4 t \geq 13$
162036	Solve for d	-8d-5d+7d=72	$- 8 d - 5 d + 7 d = 72$
162037	Find the Holes in the Graph	f(x)=(-4x+17)/(3x)	$f (x) = \frac{- 4 x + 17}{3 x}$
162038	Solve Using the Quadratic Formula	9a^2+25a+16=a	$9 a^{2} + 25 a + 16 = a$
162039	Solve the System of Inequalities	-3x+5<=17 and 8<-3x+5	$- 3 x + 5 \leq 17$ and $8 < - 3 x + 5$
162040	Find the Product	(x-y)(x^2+xy+y^2)	$(x - y) (x^{2} + x y + y^{2})$
162041	Divide	8÷2(2+2)	$8 \div 2 (2 + 2)$
162042	Solve the System of Inequalities	31<-5x-4 or -5x-4<-59	$31 < - 5 x - 4$ or $- 5 x - 4 < - 59$
162043	Solve for c	-5c+5c+2c-6c-12c=-16	$- 5 c + 5 c + 2 c - 6 c - 12 c = - 16$
162044	Solve the System of Inequalities	-4x-9>7 or -13>=-4x-9	$- 4 x - 9 > 7$ or $- 13 \geq - 4 x - 9$
162045	Solve for p	10-(8p+3)=9(2p-5)	$10 - (8 p + 3) = 9 (2 p - 5)$
162046	Solve the System of Inequalities	x+4<6 or x+4>=11	$x + 4 < 6$ or $x + 4 \geq 11$
162047	Write in Slope-Intercept Form	y-2=-1/2(x-1)	$y - 2 = - \frac{1}{2} (x - 1)$
162048	Factor	y+x^2y^3	$y + x^{2} y^{3}$
162049	Solve by Factoring	0=x^2+6x+9	$0 = x^{2} + 6 x + 9$
162050	Solve for x	(4/6)^x>=36/16	${(\frac{4}{6})}^{x} \geq \frac{36}{16}$
162051	Factor	x^3y-x^2y^5	$x^{3} y - x^{2} y^{5}$
162052	Solve for x	27=(1/3)^(x/2)	$27 = {(\frac{1}{3})}^{\frac{x}{2}}$
162053	Find the x and y Intercepts	f(x)=(x^2-25)/(2x^2-17x+35)	$f (x) = \frac{x^{2} - 25}{2 x^{2} - 17 x + 35}$
162054	Simplify	(5+2b)+(2b+3/2)	$(5 + 2 b) + (2 b + \frac{3}{2})$
162055	Solve for d	C=pid for d	$C = π d$ for $d$
162056	Simplify	( square root of 49)/50	$\frac{\sqrt{49}}{50}$
162057	Solve for k	1/4(1/3k+9)=6	$\frac{1}{4} (\frac{1}{3} k + 9) = 6$
162058	Divide	-1÷(-2)	$- 1 \div (- 2)$
162059	Factor	x^3y^4+xy^5	$x^{3} y^{4} + x y^{5}$
162060	Solve the Inequality for x	(x+2)/(x^2+3x-18)<=0	$\frac{x + 2}{x^{2} + 3 x - 18} \leq 0$
162061	Evaluate	(x^2)^4	${(x^{2})}^{4}$
162062	Simplify	(x^2-y^2)/(x^2+2xy+y^2)	$\frac{x^{2} - y^{2}}{x^{2} + 2 x y + y^{2}}$
162063	Find the Excluded Values	(2x)/(1-2x)	$\frac{2 x}{1 - 2 x}$
162064	Evaluate	1/2(1-0.95)	$\frac{1}{2} (1 - 0.95)$
162065	Solve the System of Inequalities	-20>-5x-10 and -5x-10>=-70	$- 20 > - 5 x - 10$ and $- 5 x - 10 \geq - 70$
162066	Solve for x	x^2-3x=4x	$x^{2} - 3 x = 4 x$
162067	Simplify	(3x+5)/x+7/(x-3)	$\frac{3 x + 5}{x} + \frac{7}{x - 3}$
162068	Solve the Inequality for q	-6q-1>=10q-2	$- 6 q - 1 \geq 10 q - 2$
162069	Solve the Inequality for x	3x+12-6x<=-9	$3 x + 12 - 6 x \leq - 9$
162070	Solve for a	-15=5a+12-2a+6	$- 15 = 5 a + 12 - 2 a + 6$
162071	Simplify	((x^3y^2)(x^5y^7))/(x^2y^5)	$\frac{(x^{3} y^{2}) (x^{5} y^{7})}{x^{2} y^{5}}$
162072	Solve the System of Inequalities	22<-3c+4<14	$22 < - 3 c + 4 < 14$
162073	Solve the Inequality for x	x^2-16>0	$x^{2} - 16 > 0$
162074	Solve for h	(8+h)/10=1	$\frac{8 + h}{10} = 1$
162075	Find the Exact Value	50+50-25*0+2+2	$50 + 50 - 25 \cdot 0 + 2 + 2$
162076	Find the Holes in the Graph	f(x)=(x^2+2x)/(-2x^2+10x)	$f (x) = \frac{x^{2} + 2 x}{- 2 x^{2} + 10 x}$
162077	Factor	11ax-121a^2x+33a^3	$11 a x - 121 a^{2} x + 33 a^{3}$
162078	Write in Standard Form	x-3+10x^3-(x^5)/9	$x - 3 + 10 x^{3} - \frac{x^{5}}{9}$
162079	Solve by Factoring	2x^2+8x-3=x+1	$2 x^{2} + 8 x - 3 = x + 1$
162080	Solve for y	2/3y-2/5=5	$\frac{2}{3} y - \frac{2}{5} = 5$
162081	Convert to Radical Form	x^(-1/2)	$x^{\frac{- 1}{2}}$
162082	Find the Exact Value	sec(0pi)	$\sec (0 π)$
162083	Rationalize the Denominator	6/( square root of 2- square root of 3)	$\frac{6}{\sqrt{2} - \sqrt{3}}$
162084	Solve the Inequality for g	g+8<=2g+5	$g + 8 \leq 2 g + 5$
162085	Evaluate	-2/3a+5/6a-1/6	$- \frac{2}{3} a + \frac{5}{6} a - \frac{1}{6}$
162086	Simplify	(-2 square root of 7)(3 square root of 28)	$(- 2 \sqrt{7}) (3 \sqrt{28})$
162087	Factor	y^5+x^2y^3	$y^{5} + x^{2} y^{3}$
162088	Solve for t	-t/4=-3pi	$- \frac{t}{4} = - 3 π$
162089	Factor	y^4+x^2y^4	$y^{4} + x^{2} y^{4}$
162090	Simplify	(3x)/(x-3)+5/(x^2-9)	$\frac{3 x}{x - 3} + \frac{5}{x^{2} - 9}$
162091	Solve for t	-16-(-t)=-45	$- 16 - (- t) = - 45$
162092	Simplify	(p^-8)/(7^-2q^-9)	$\frac{p^{- 8}}{7^{- 2} q^{- 9}}$
162093	Find the Holes in the Graph	f(x)=(2x+4)/(-x^2+4)	$f (x) = \frac{2 x + 4}{- x^{2} + 4}$
162094	Graph	f(x)=x/(\|x\|)	$f (x) = \frac{x}{\| x \|}$
162095	Factor	x^5y^2+y^5	$x^{5} y^{2} + y^{5}$
162096	Solve the Inequality for x	9(x/3+1)>=6	$9 (\frac{x}{3} + 1) \geq 6$
162097	Solve the System of Inequalities	-x-9<=-15 and -21<-x-9	$- x - 9 \leq - 15$ and $- 21 < - x - 9$
162098	Factor by Grouping	ax+bx+ay+by	$a x + b x + a y + b y$
162099	Solve the Inequality for x	(x+5)(x-1)^2(x-3)<0	$(x + 5) {(x - 1)}^{2} (x - 3) < 0$
162100	Find the Holes in the Graph	f(x)=(x+5)/(3x-12)	$f (x) = \frac{x + 5}{3 x - 12}$