Mathway | Popular Problems

Popular Problems

Rank	Topic	Problem	Formatted Problem
215001	Graph	f(x)=(x^3+3x^2)/(x^2+2x-3)	$f (x) = \frac{x^{3} + 3 x^{2}}{x^{2} + 2 x - 3}$
215002	Solve the Inequality for x	4 1/2<=1.2x	$4 \frac{1}{2} \leq 1.2 x$
215003	Graph	-5((x-2)(x-3))/((x-6)(x-8))	$- 5 \frac{(x - 2) (x - 3)}{(x - 6) (x - 8)}$
215004	Evaluate	(2y-6x)/(3x)=2y-2	$\frac{2 y - 6 x}{3 x} = 2 y - 2$
215005	Find the Roots (Zeros)	3- square root of x-4=0	$3 - \sqrt{x - 4} = 0$
215006	Evaluate	((3^2)÷3)+5-2	$(3^{2} \div 3) + 5 - 2$
215007	Solve for j	3(-6j-2)=-13-11j-6j	$3 (- 6 j - 2) = - 13 - 11 j - 6 j$
215008	Solve the System of Inequalities	6x-y>12 x+5y<-10	$6 x - y > 12$ $x + 5 y < - 10$
215009	Simplify	32x square root of 5-18x square root of 20	$32 x \sqrt{5} - 18 x \sqrt{20}$
215010	Solve for n	n-6<=-14	$n - 6 \leq - 14$
215011	Factor	ay-a^6y^6	$a y - a^{6} y^{6}$
215012	Simplify	(5x-x^2)/(x^2-8x+15)	$\frac{5 x - x^{2}}{x^{2} - 8 x + 15}$
215013	Write in Standard Form	(-1,19) and (3,35)	$(- 1, 19)$ and $(3, 35)$
215014	Solve the System of Equations	6-0.9x=0.4y -y+0.2x=3.6	$6 - 0.9 x = 0.4 y$ $- y + 0.2 x = 3.6$
215015	Evaluate	pi/4-(-pi/4)	$\frac{π}{4} - (- \frac{π}{4})$
215016	Divide	(-10a^3b^2+25a^2b^5-5a^2b)/(-5a^2b)	$\frac{- 10 a^{3} b^{2} + 25 a^{2} b^{5} - 5 a^{2} b}{- 5 a^{2} b}$
215017	Simplify	square root of 3i* square root of 4i	$\sqrt{3} i \cdot \sqrt{4} i$
215018	Solve the System of Inequalities	y<5/4x-5 y<-1/2x+2	$y < \frac{5}{4} x - 5$ $y < - \frac{1}{2} x + 2$
215019	Simplify	-(2c^0)^3	$- {(2 c^{0})}^{3}$
215020	Solve the Inequality for x	6-2(x-4)<5(1-x)	$6 - 2 (x - 4) < 5 (1 - x)$
215021	Write in Slope-Intercept Form	(-2,-3) , slope=5/2	$(- 2, - 3)$ , $s l o p e = \frac{5}{2}$
215022	Simplify	(2x-3)+(5x+3)+(7x-1)	$(2 x - 3) + (5 x + 3) + (7 x - 1)$
215023	Simplify	(1/n-3)/(3n-1)	$\frac{\frac{1}{n} - 3}{3 n - 1}$
215024	Solve for X	2(X-3)-3(X-2)=X+2-(X-3)	$2 (X - 3) - 3 (X - 2) = X + 2 - (X - 3)$
215025	Simplify the Radical Expression	2 square root of 5* square root of 7	$2 \sqrt{5} \cdot \sqrt{7}$
215026	Find the Exact Value	sin(arctan(2x))	$\sin (\arctan (2 x))$
215027	Multiply	(25x^2)/(17y^4)*(34y^5)/(15x^3)	$\frac{25 x^{2}}{17 y^{4}} \cdot \frac{34 y^{5}}{15 x^{3}}$
215028	Simplify	((x^5)/(x^7))^2	${(\frac{x^{5}}{x^{7}})}^{2}$
215029	Solve for k	-5k=12	$- 5 k = 12$
215030	Solve for T	PV=nrT for T	$P V = n r T$ for $T$
215031	Convert to Logarithmic Form	7^(x-1)=e	$7^{x - 1} = e$
215032	Multiply	-3i*(8i+5)	$- 3 i \cdot (8 i + 5)$
215033	Evaluate Using Scientific Notation	6.2810^13+8.3010^11	$6.28 \cdot 10^{13} + 8.3 \cdot 10^{11}$
215034	Solve the Rational Equation for x	2x^(2/3)=8	$2 x^{\frac{2}{3}} = 8$
215035	Simplify	(5 square root of 4)(4 square root of 8)	$(5 \sqrt{4}) (4 \sqrt{8})$
215036	Evaluate	square root of 3^3*6^3	$\sqrt{3^{3} \cdot 6^{3}}$
215037	Simplify	((-4)^33^712)/(6^6*2^5)	$\frac{{(- 4)}^{3} \cdot 3^{7} \cdot 12}{6^{6} \cdot 2^{5}}$
215038	Solve for x	tan(x)=2sin(x)	$\tan (x) = 2 \sin (x)$
215039	Simplify	-2x(x+1)+4x^2(x+3)-x^2-(x-3)	$- 2 x (x + 1) + 4 x^{2} (x + 3) - x^{2} - (x - 3)$
215040	Graph	6\|x+1\|>=18	$6 \| x + 1 \| \geq 18$
215041	Graph	f(x)(x^2+3x-1)/(x+1)	$f (x) \frac{x^{2} + 3 x - 1}{x + 1}$
215042	Solve for u	u^2-3u=-5/4	$u^{2} - 3 u = - \frac{5}{4}$
215043	Determine if Dependent, Independent, or Inconsistent	y=x-5 -2x+2y=-10	$y = x - 5$ $- 2 x + 2 y = - 10$
215044	Evaluate	(2x^3y^2z^2)^3(x^2z)^4	${(2 x^{3} y^{2} z^{2})}^{3} {(x^{2} z)}^{4}$
215045	Evaluate Using the Given Value	Evaluate 8j-k+14 when j=0.25 and k=1	Evaluate $8 j - k + 14$ when $j = 0.25$ and $k = 1$
215046	Simplify	(-27/8)^(-2/3)	${(- \frac{27}{8})}^{\frac{- 2}{3}}$
215047	Simplify	(15a^2y^-3)^4(5ay^-2)^-5	${(15 a^{2} y^{- 3})}^{4} {(5 a y^{- 2})}^{- 5}$
215048	Find the Holes in the Graph	y=((x-2)(2x+3))/((5x+4)(x-3))	$y = \frac{(x - 2) (2 x + 3)}{(5 x + 4) (x - 3)}$
215049	Simplify	(x+1)(3x-2)(x-3)(2x-1)	$(x + 1) (3 x - 2) (x - 3) (2 x - 1)$
215050	Simplify	(7+5i)-(-2+(-3i))	$(7 + 5 i) - (- 2 + (- 3 i))$
215051	Simplify	sin(a)(cot(a)+(sin(a))/(1+cos(a)))	$\sin (a) (\cot (a) + \frac{\sin (a)}{1 + \cos (a)})$
215052	Solve the Inequality for X	-2(3X+2)>=-6X-4	$- 2 (3 X + 2) \geq - 6 X - 4$
215053	Find the Exact Value	log base 2 of 6- log base 2 of 15+ log base 2 of 20	$\log_{2} (6) - \log_{2} (15) + \log_{2} (20)$
215054	Convert to a Decimal	tan(180)deg	$\tan (180)$ degrees
215055	Write in Standard Form	(5x^3-x+2x^2+4)+(3x^2+1-4x)	$(5 x^{3} - x + 2 x^{2} + 4) + (3 x^{2} + 1 - 4 x)$
215056	Evaluate	60 degrees *pi/180	$60 ° \cdot \frac{π}{180}$
215057	Solve for x	log base square root of 2 of x+ log base square root of 2 of x+1=2	$\log_{\sqrt{2}} (x) + \log_{\sqrt{2}} (x + 1) = 2$
215058	Simplify	-2x^2 square root of 3x^3y^2z^5	$- 2 x^{2} \sqrt{3 x^{3} y^{2} z^{5}}$
215059	Solve for y	5-3(x+1)=2y-3x+2	$5 - 3 (x + 1) = 2 y - 3 x + 2$
215060	Solve for x	1/2x-3/5=3/5x-5	$\frac{1}{2} x - \frac{3}{5} = \frac{3}{5} x - 5$
215061	Solve for x	\|3x-9\|-\|3-x\|=10	$\| 3 x - 9 \| - \| 3 - x \| = 10$
215062	Simplify	square root of (x+1)(x+2)(x+3)(x+4)+1	$\sqrt{(x + 1) (x + 2) (x + 3) (x + 4) + 1}$
215063	Divide Using Long Polynomial Division	Use the long division method to find the result when 8x^3+6x^2+15x+7 is divided by 2x+1	Use the long division method to find the result when $8 x^{3} + 6 x^{2} + 15 x + 7$ is divided by $2 x + 1$
215064	Multiply	(5x+10)/(4x-8)*(4-2x)/(x+2)	$\frac{5 x + 10}{4 x - 8} \cdot \frac{4 - 2 x}{x + 2}$
215065	Simplify	(3^-2)/(3^-3*3^0)	$\frac{3^{- 2}}{3^{- 3} \cdot 3^{0}}$
215066	Simplify	Simplify (12a^2b^8)/(24a^4b^2)	Simplify $\frac{12 a^{2} b^{8}}{24 a^{4} b^{2}}$
215067	Find All Complex Solutions	3sin(x)^2-sin(x)-1=0	$3 \sin^{2} (x) - \sin (x) - 1 = 0$
215068	Solve for r	3*8^(r-9)=52	$3 \cdot 8^{r - 9} = 52$
215069	Solve for x	8(-2+x)-3x=6x+13	$8 (- 2 + x) - 3 x = 6 x + 13$
215070	Solve for x	9^(2x+1)=3^(3^x)	$9^{2 x + 1} = 3^{3^{x}}$
215071	Simplify	((3ab)^3*(-2ab^4))/(6ab^2)	$\frac{{(3 a b)}^{3} \cdot (- 2 a b^{4})}{6 a b^{2}}$
215072	Simplify	(x^2)/(x^2-2x)	$\frac{x^{2}}{x^{2} - 2 x}$
215073	Find the LCM	7 and 14	$7$ and $14$
215074	Evaluate	1/( square root of 2)*1/( square root of 2)	$\frac{1}{\sqrt{2}} \cdot \frac{1}{\sqrt{2}}$
215075	Divide	((x^2-x-12)/(3x+9))÷((x^2+x-20)/(x+5))	$\frac{x^{2} - x - 12}{3 x + 9} \div \frac{x^{2} + x - 20}{x + 5}$
215076	Simplify	-3 cube root of 162k^4+7k cube root of 48k	$- 3 \sqrt[3]{162 k^{4}} + 7 k \sqrt[3]{48 k}$
215077	Convert to Radical Form	2(12)^(3/2)	$2 {(12)}^{\frac{3}{2}}$
215078	Simplify	5+2x^3-6x-4x^2	$5 + 2 x^{3} - 6 x - 4 x^{2}$
215079	Rationalize the Denominator	5/(3 square root of 5+ square root of 2)	$\frac{5}{3 \sqrt{5} + \sqrt{2}}$
215080	Evaluate	(1+-1)-(-1-3)	$(1 + - 1) - (- 1 - 3)$
215081	Solve the System of Equations	0.6x-y=1.03 3-0.3x=0.1y	$0.6 x - y = 1.03$ $3 - 0.3 x = 0.1 y$
215082	Find the Degree, Leading Term, and Leading Coefficient	h(x)=-3x^3+x^2-x+3	$h (x) = - 3 x^{3} + x^{2} - x + 3$
215083	Solve for r	20r=-5(13r-17)	$20 r = - 5 (13 r - 17)$
215084	Solve the Inequality for c	\|2c-1\|<=7	$\| 2 c - 1 \| \leq 7$
215085	Simplify	(6 square root of 8-6 square root of 2)(2 square root of 2+1)	$(6 \sqrt{8} - 6 \sqrt{2}) (2 \sqrt{2} + 1)$
215086	Solve by Factoring	3x+2x^2=5x^2-6	$3 x + 2 x^{2} = 5 x^{2} - 6$
215087	Find the Excluded Values	3/(x+2)-5/x=1	$\frac{3}{x + 2} - \frac{5}{x} = 1$
215088	Solve for y	-10y^3-5=5	$- 10 y^{3} - 5 = 5$
215089	Solve for x	7.2/x=0.25/1 1/9	$\frac{7.2}{x} = \frac{0.25}{1 \frac{1}{9}}$
215090	Evaluate	(a+b)(a^2-ab+b^2)	$(a + b) (a^{2} - a b + b^{2})$
215091	Factor	x^4-2x^3-24x^2-4x^2+8x+96	$x^{4} - 2 x^{3} - 24 x^{2} - 4 x^{2} + 8 x + 96$
215092	Evaluate	1/3(-1)^3	$\frac{1}{3} {(- 1)}^{3}$
215093	Solve by Factoring	(x-4)^2-(x-4)-20=0	${(x - 4)}^{2} - (x - 4) - 20 = 0$
215094	Solve the System of Inequalities	2x+5<=-6 or 2x+5>=6	$2 x + 5 \leq - 6$ or $2 x + 5 \geq 6$
215095	Graph	graph -27x+18y=54	graph $- 27 x + 18 y = 54$
215096	Solve by Substitution	2m=n+3 n-3m=-8	$2 m = n + 3$ $n - 3 m = - 8$
215097	Evaluate	3(-5)^2-\|-2\|	$3 {(- 5)}^{2} - \| - 2 \|$
215098	Find the Domain and Range	f^-1(x)=(x-3)/(1-x)	$f^{- 1} (x) = \frac{x - 3}{1 - x}$
215099	Simplify	43^2-3+52	$4 \cdot 3^{2} - 3 + 5 \cdot 2$
215100	Find the End Behavior	f(x)=X^7	$f (x) = X^{7}$