Mathway | Popular Problems

Popular Problems

Rank	Topic	Problem	Formatted Problem
236001	Solve the System of Inequalities	y<=x-1 y>-1/2x-4	$y \leq x - 1$ $y > - \frac{1}{2} x - 4$
236002	Find the Excluded Values	(x^2-81)/(8x+9)	$\frac{x^{2} - 81}{8 x + 9}$
236003	Simplify	square root of 320mn	$\sqrt{320 m n}$
236004	Simplify the Radical Expression	( cube root of 40x)÷( cube root of 5x^2)	$\sqrt[3]{40 x} \div \sqrt[3]{5 x^{2}}$
236005	Convert to a Percentage	0.31(3/8)	$0.31 (\frac{3}{8})$
236006	Round to the Nearest Hundredth	1/4	$\frac{1}{4}$
236007	Simplify	((5xy^3z^2)/(w^-3))^-5	${(\frac{5 x y^{3} z^{2}}{w^{- 3}})}^{- 5}$
236008	Solve for a	3(a-2)-(a+6)=4(a-1)	$3 (a - 2) - (a + 6) = 4 (a - 1)$
236009	Solve for x	3(6x-5)=3(6x-5)+x	$3 (6 x - 5) = 3 (6 x - 5) + x$
236010	Multiply	(2 square root of 3)(4 square root of 5)	$(2 \sqrt{3}) (4 \sqrt{5})$
236011	Solve for x	square root of 2+ cube root of 2x+4=2	$\sqrt{2 + \sqrt[3]{2 x + 4}} = 2$
236012	Solve for n	2/(5n-8)-1=n/(5n-8)	$\frac{2}{5 n - 8} - 1 = \frac{n}{5 n - 8}$
236013	Evaluate	f(x)=0.04(8(2)-(2)^2)	$f (x) = 0.04 (8 (2) - {(2)}^{2})$
236014	Divide Using Long Polynomial Division	Use the long division method to find the result when 3x^3+19x^2-12x-6 is divided by 3x+1	Use the long division method to find the result when $3 x^{3} + 19 x^{2} - 12 x - 6$ is divided by $3 x + 1$
236015	Solve for a	18a-9=5(2a+3)	$18 a - 9 = 5 (2 a + 3)$
236016	Solve for d	P=1+d/33	$P = 1 + \frac{d}{33}$
236017	Simplify	(x^2-64)/(x^2+x-6)	$\frac{x^{2} - 64}{x^{2} + x - 6}$
236018	Evaluate	(2x^3)/((x^-1)^3)	$\frac{2 x^{3}}{{(x^{- 1})}^{3}}$
236019	Find the Product	(1-7x)(1+9x)	$(1 - 7 x) (1 + 9 x)$
236020	Graph	y<=x y>x+3	$y \leq x$ $y > x + 3$
236021	Find the Product	-5m^3(7n^4-2mn^3+6)	$- 5 m^{3} (7 n^{4} - 2 m n^{3} + 6)$
236022	Solve for x	5x+14-4x=23+x-9	$5 x + 14 - 4 x = 23 + x - 9$
236023	Evaluate	(cot(pi/2)-cot(pi/3))/(pi/2-pi/3)	$\frac{\cot (\frac{π}{2}) - \cot (\frac{π}{3})}{\frac{π}{2} - \frac{π}{3}}$
236024	Find All Complex Solutions	4x+2x+2=3x-7	$4 x + 2 x + 2 = 3 x - 7$
236025	Evaluate	(8x-8)^(3/2)=64	${(8 x - 8)}^{\frac{3}{2}} = 64$
236026	Simplify	((x+2)(x-3))/((x+1)(x-4))*(x+1)/(x(x+2))	$\frac{(x + 2) (x - 3)}{(x + 1) (x - 4)} \cdot \frac{(x + 1)}{x (x + 2)}$
236027	Find the Holes in the Graph	(x^2-7x)/(x^2-17x+72)	$\frac{x^{2} - 7 x}{x^{2} - 17 x + 72}$
236028	Graph	-2y^2+x-20y-49=0	$- 2 y^{2} + x - 20 y - 49 = 0$
236029	Write the Fraction in Simplest Form	(2x)/(y^2-x^2)-x/(y-x)	$\frac{2 x}{y^{2} - x^{2}} - \frac{x}{y - x}$
236030	Solve for x	log base 6 of 2x-3 = log base 6 of 12- log base 6 of 3	$\log_{6} (2 x - 3) = \log_{6} (12) - \log_{6} (3)$
236031	Find the Holes in the Graph	(x^2-x-2)/((x-2)^2)	$\frac{x^{2} - x - 2}{{(x - 2)}^{2}}$
236032	Simplify	((x^2-2x-15)/(x-3))÷((x-5)/(x^2-9))	$\frac{x^{2} - 2 x - 15}{x - 3} \div \frac{x - 5}{x^{2} - 9}$
236033	Find the x and y Intercepts	f(x)=2^(3(x+1))-4	$f (x) = 2^{3 (x + 1)} - 4$
236034	Find the Midpoint	What is the midpoint of the line segment connecting the points (-2,4) and (2,6) ?	What is the midpoint of the line segment connecting the points $(- 2, 4)$ and $(2, 6)$ ?
236035	Factor	x^(2n)-81	$x^{2 n} - 81$
236036	Find the Quotient	(10r^2-79r+63)÷(r-7)	$(10 r^{2} - 79 r + 63) \div (r - 7)$
236037	Solve for x	f(x)=x^3+12x^2+25x-70 g(x)=x+7	$f (x) = x^{3} + 12 x^{2} + 25 x - 70$ $g (x) = x + 7$
236038	Write in Standard Form	r=2/3	$r = \frac{2}{3}$
236039	Solve Using the Quadratic Formula	(-6+- square root of 6^2-43-9)/(2(3))	$\frac{- 6 + - \sqrt{6^{2} - 4 \cdot 3 \cdot - 9}}{2 (3)}$
236040	Simplify	((h+f)/(h-f))^-2	${(\frac{h + f}{h - f})}^{- 2}$
236041	Evaluate	((8x^2)/(2x^2))^2	${(\frac{8 x^{2}}{2 x^{2}})}^{2}$
236042	Simplify	((4x^8)^3)/((6x^5)^2)	$\frac{{(4 x^{8})}^{3}}{{(6 x^{5})}^{2}}$
236043	Solve the System of Inequalities	9-x<=3+2x and 3x-7<=-22	$9 - x \leq 3 + 2 x$ and $3 x - 7 \leq - 22$
236044	Write in Standard Form	(x^2-8)-(3x^3-6x-4+9x^2)	$(x^{2} - 8) - (3 x^{3} - 6 x - 4 + 9 x^{2})$
236045	Evaluate	((2.0010^4)(1.9010^-3))/((1.044)(500))	$\frac{(2 \cdot 10^{4}) (1.9 \cdot 10^{- 3})}{(1.044) (500)}$
236046	Evaluate	4 natural log of 7- square root of 2	$4 \ln (7 - \sqrt{2})$
236047	Simplify	(x+5)(2x)	$(x + 5) (2 x)$
236048	Rationalize the Denominator	fifth root of (9x^11y^2)/(32xy^7)	$\sqrt[5]{\frac{9 x^{11} y^{2}}{32 x y^{7}}}$
236049	Convert to a Decimal	sec(300)deg	$\sec (300)$ degrees
236050	Simplify	limit as x approaches 2 of (x^3-7x+6)/(3x^2-8x+4)	$lim_{x \to 2} \frac{x^{3} - 7 x + 6}{3 x^{2} - 8 x + 4}$
236051	Solve by Graphing	2x-3y=-1 y=x-1	$2 x - 3 y = - 1$ $y = x - 1$
236052	Identify the Zeros and Their Multiplicities	f(x)=(x+7)^2(2x+1)(x-4)^3	$f (x) = {(x + 7)}^{2} (2 x + 1) {(x - 4)}^{3}$
236053	Simplify	8^-1-3^-1	$8^{- 1} - 3^{- 1}$
236054	Evaluate	((1.710^6)÷(2.6310^5))+3	$((1.7 \times 10^{6}) \div (2.63 \times 10^{5})) + 3$
236055	Simplify	square root of cube root of 256	$\sqrt{\sqrt[3]{256}}$
236056	Evaluate	(18-(-1-7)^2)+16÷(2^4)	$(18 - {(- 1 - 7)}^{2}) + 16 \div 2^{4}$
236057	Solve the Inequality for a	7\|4a-6\|<42	$7 \| 4 a - 6 \| < 42$
236058	Graph	g(x)=-2x,x>=3; -1/3x-5,x<=3	$g (x) = {\begin{cases} - 2 x, x \geq 3 \\ - \frac{1}{3} x - 5, x \leq 3 \end{cases}$
236059	Evaluate	-(-1)+3(2-(-1))	$- (- 1) + 3 (2 - (- 1))$
236060	Factor	1/3xy+5/4xy^2-3/4xy+1/2xy^2-3x^2y+5/6x^2y	$\frac{1}{3} x y + \frac{5}{4} x y^{2} - \frac{3}{4} x y + \frac{1}{2} x y^{2} - 3 x^{2} y + \frac{5}{6} x^{2} y$
236061	Simplify	((1/2)^-4)^2	${({(\frac{1}{2})}^{- 4})}^{2}$
236062	Simplify	(x^(1/2)-y^(1/2))^2	${(x^{\frac{1}{2}} - y^{\frac{1}{2}})}^{2}$
236063	Simplify	(tan(theta)^2+1)/(sec(theta))	$\frac{\tan^{2} (θ) + 1}{\sec (θ)}$
236064	Divide	(6x^3+12-47x^2+17x)÷(6x-5)	$(6 x^{3} + 12 - 47 x^{2} + 17 x) \div (6 x - 5)$
236065	Find All Complex Solutions	x^4-x^3-7x^2+x+6=0	$x^{4} - x^{3} - 7 x^{2} + x + 6 = 0$
236066	Factor	(a+b)^3-b^3	${(a + b)}^{3} - b^{3}$
236067	Solve for Y	X+4Y=1	$X + 4 Y = 1$
236068	Subtract	(x^2-8)-(3x^3-6x-4+9x^2)	$(x^{2} - 8) - (3 x^{3} - 6 x - 4 + 9 x^{2})$
236069	Simplify	b^-4c^0d^6	$b^{- 4} c^{0} d^{6}$
236070	Solve the Inequality for c	9- square root of c+4<=6	$9 - \sqrt{c + 4} \leq 6$
236071	Evaluate	(15*360/60)	$(15 \cdot \frac{360}{60})$
236072	Solve for x	x-81x^-3=0	$x - 81 x^{- 3} = 0$
236073	Evaluate Using the Given Value	d^-3 for d=-2	$d^{- 3}$ for $d = - 2$
236074	Solve the Rational Equation for x	1/5 cube root of 3x+10=8	$\frac{1}{5} \sqrt[3]{3 x} + 10 = 8$
236075	Simplify	((8a^4t)/(27at^7))^-2	${(\frac{8 a^{4} t}{27 a t^{7}})}^{- 2}$
236076	Simplify	xy+y/(x^2)	$x y + \frac{y}{x^{2}}$
236077	Find the Exact Value	log base 4 of 1/2	$\log_{4} (\frac{1}{2})$
236078	Graph	(x-1)/(4-x)	$\frac{x - 1}{4 - x}$
236079	Evaluate	(5+2b)+(2b+3/2)	$(5 + 2 b) + (2 b + \frac{3}{2})$
236080	Factor	2x^3+x-3	$2 x^{3} + x - 3$
236081	Solve the Inequality for x	sin(x)<1	$\sin (x) < 1$
236082	Find the Axis of Symmetry	x^2	$x^{2}$
236083	Find the Exact Value	tan(15)tan(30)	$\tan (15) \tan (30)$
236084	Convert to Radical Form	p^(1/4)q	$p^{\frac{1}{4}} q$
236085	Solve the Rational Equation for x	(3x)/(x-2)=1+6/(x-2)	$\frac{3 x}{x - 2} = 1 + \frac{6}{x - 2}$
236086	Simplify	4(6f)+2f	$4 (6 f) + 2 f$
236087	Solve for x	8/(3x-6)=(3x)/(x-2)	$\frac{8}{3 x - 6} = \frac{3 x}{x - 2}$
236088	Simplify	4 square root of 6x*5 square root of 8x^4	$4 \sqrt{6 x} \cdot 5 \sqrt{8 x^{4}}$
236089	Solve the Inequality for x	2/3(1-e^(-x))<=-3	$\frac{2}{3} (1 - e^{- x}) \leq - 3$
236090	Simplify the Radical Expression	8 1/5	$8 \frac{1}{5}$
236091	Factor by Grouping	x^8-y^8	$x^{8} - y^{8}$
236092	Rationalize the Denominator	-1/( square root of 3)	$\frac{- 1}{\sqrt{3}}$
236093	Solve the Inequality for D	5D-8D-4<=-4+3d	$5 D - 8 D - 4 \leq - 4 + 3 d$
236094	Simplify	3x(x-3)+(2x+6)(-x-3)	$3 x (x - 3) + (2 x + 6) (- x - 3)$
236095	Evaluate	(3x/2)(3x/4)=3^6	$(3 \frac{x}{2}) (3 \frac{x}{4}) = 3^{6}$
236096	Simplify	(cot(x)-tan(x))/(sin(x)cos(x))	$\frac{\cot (x) - \tan (x)}{\sin (x) \cos (x)}$
236097	Reduce	(4x+20)/(8x+12)	$\frac{4 x + 20}{8 x + 12}$
236098	Convert to Rectangular	6(cos(pi/2)+isin(pi/2))*4(cos(pi/4)+isin(pi/4))	$6 (\cos (\frac{π}{2}) + i \sin (\frac{π}{2})) \cdot 4 (\cos (\frac{π}{4}) + i \sin (\frac{π}{4}))$
236099	Graph	x<=5 or x>8	$x \leq 5$ or $x > 8$
236100	Solve the Inequality for m	m+17<=-(4m-13)	$m + 17 \leq - (4 m - 13)$