Mathway | Popular Problems

Popular Problems

Rank	Topic	Problem	Formatted Problem
222601	Solve the Rational Equation for r	(r-4)/(5r)=1/(5r)+1	$\frac{r - 4}{5 r} = \frac{1}{5 r} + 1$
222602	Simplify	((3x-9)/(9x^2-4))÷((5x+7)/(3x-2))	$\frac{3 x - 9}{9 x^{2} - 4} \div \frac{5 x + 7}{3 x - 2}$
222603	Evaluate	(1/(x+h)-1/x)/h	$\frac{\frac{1}{x + h} - \frac{1}{x}}{h}$
222604	Multiply	4 square root of 8* square root of 2	$4 \sqrt{8} \cdot \sqrt{2}$
222605	Solve the Inequality for m	m/-14<=-4	$\frac{m}{- 14} \leq - 4$
222606	Solve for y	6x+3y=4x-2y+8	$6 x + 3 y = 4 x - 2 y + 8$
222607	Write as a Single Logarithm	6 natural log of 2-4 natural log of y	$6 \ln (2) - 4 \ln (y)$
222608	Write in Standard Form	square root of 8	$\sqrt{8}$
222609	Find the Quotient	(6x^4-20x^3+15x^2-8)÷(-x^2+2x-1)	$(6 x^{4} - 20 x^{3} + 15 x^{2} - 8) \div (- x^{2} + 2 x - 1)$
222610	Solve for x	y=x/4-7 , y=2	$y = \frac{x}{4} - 7$ , $y = 2$
222611	Solve for x	(2sin(x)+1)(sin(x)+1)=0	$(2 \sin (x) + 1) (\sin (x) + 1) = 0$
222612	Find the Distance Between Two Points	(2,-3) and (-4,-7)	$(2, - 3)$ and $(- 4, - 7)$
222613	Solve the Rational Equation for x	5 square root of x=30	$5 \sqrt{x} = 30$
222614	Graph	(-3,2) y (5,-8)	$(- 3, 2)$ $y$ $(5, - 8)$
222615	Simplify	(2 square root of x)^3	${(2 \sqrt{x})}^{3}$
222616	Solve for z	4z^2-8z+5=2	$4 z^{2} - 8 z + 5 = 2$
222617	Solve for x	5-(x+7)/8=x/3	$5 - \frac{x + 7}{8} = \frac{x}{3}$
222618	Simplify	(3x^5+17x^3-1)+(-2x^5-6)	$(3 x^{5} + 17 x^{3} - 1) + (- 2 x^{5} - 6)$
222619	Write in Standard Form	(9c^6)(3c^6)	$(9 c^{6}) (3 c^{6})$
222620	Simplify	(a^4)^6(b^5)^-2	${(a^{4})}^{6} {(b^{5})}^{- 2}$
222621	Solve for x	10x-1=(2x+1)^2	$10 x - 1 = {(2 x + 1)}^{2}$
222622	Solve for x	log of 10/x=3+ log of x	$\log (\frac{10}{x}) = 3 + \log (x)$
222623	Solve for q	e=(kq)/(r^2)	$e = \frac{k q}{r^{2}}$
222624	Graph	sin(t)>0 and cos(t)<0	$\sin (t) > 0$ and $\cos (t) < 0$
222625	Simplify	-y^3x-y^2x+y^2+y^3x+y^2	$- y^{3} x - y^{2} x + y^{2} + y^{3} x + y^{2}$
222626	Solve Using the Quadratic Formula	3y^2+6y+15=12x	$3 y^{2} + 6 y + 15 = 12 x$
222627	Factor by Grouping	xa+ya+x+y	$x a + y a + x + y$
222628	Evaluate the Function	g(-x)=-x^3	$g (- x) = - x^{3}$
222629	Solve the System of Inequalities	p-2<=-2 or p-2>1	$p - 2 \leq - 2$ or $p - 2 > 1$
222630	Simplify	3/2(x-2)	$\frac{3}{2} (x - 2)$
222631	Solve the Inequality for x	x/2+y/3>1	$\frac{x}{2} + \frac{y}{3} > 1$
222632	Evaluate	(2xy^3)^4	${(2 x y^{3})}^{4}$
222633	Graph	Slope -3	Slope $- 3$
222634	Multiply	5x^3(2x+4y)	$5 x^{3} (2 x + 4 y)$
222635	Solve for r	g=-5r+13	$g = - 5 r + 13$
222636	Simplify	square root of 9* square root of -9	$\sqrt{9} \cdot \sqrt{- 9}$
222637	Find the Remainder	x^3-3x+2 , x+2	$x^{3} - 3 x + 2$ , $x + 2$
222638	Simplify	24/((2 square root of x)^3)	$\frac{24}{{(2 \sqrt{x})}^{3}}$
222639	Simplify	cos(x)-sin(x)tan(x)	$\cos (x) - \sin (x) \tan (x)$
222640	Solve for c	-20-4c-6c=2(9c+19)-2	$- 20 - 4 c - 6 c = 2 (9 c + 19) - 2$
222641	Simplify	2x^(1/2)*3x^(1/3)	$2 x^{\frac{1}{2}} \cdot 3 x^{\frac{1}{3}}$
222642	Solve for n	a=p(1+nr) for n	$a = p (1 + n r)$ for $n$
222643	Solve the Rational Equation for x	x = square root of x+12	$x = \sqrt{x + 12}$
222644	Divide	(5x-35y+50)÷5	$(5 x - 35 y + 50) \div 5$
222645	Evaluate	x = square root of x+12	$x = \sqrt{x + 12}$
222646	Solve Using the Quadratic Formula	2^2=-3x+20	$2^{2} = - 3 x + 20$
222647	Find the Excluded Values	((8x+32)/(x^2+8x+16))÷((x^2-6x)/(x^2-2x-24))	$\frac{8 x + 32}{x^{2} + 8 x + 16} \div \frac{x^{2} - 6 x}{x^{2} - 2 x - 24}$
222648	Simplify	2i+3+7-12i	$2 i + 3 + 7 - 12 i$
222649	Evaluate	x^2-4nx+4m>0	$x^{2} - 4 n x + 4 m > 0$
222650	Evaluate	y=3^-1	$y = 3^{- 1}$
222651	Graph	x^(1/x)	$x^{\frac{1}{x}}$
222652	Solve for x	3x-9+x+15+90=180	$3 x - 9 + x + 15 + 90 = 180$
222653	Simplify	(18x^3y^2-6x^2y^3+3x^3y^3)/(3x^3y^3)	$\frac{18 x^{3} y^{2} - 6 x^{2} y^{3} + 3 x^{3} y^{3}}{3 x^{3} y^{3}}$
222654	Simplify the Radical Expression	(x^8y^8)^(1/3)	${(x^{8} y^{8})}^{\frac{1}{3}}$
222655	Solve the Rational Equation for x	(x-5)^4=256	${(x - 5)}^{4} = 256$
222656	Solve the Rational Equation for x	1/2+1/(2x)=(x^2-7x+10)/(4x)	$\frac{1}{2} + \frac{1}{2 x} = \frac{x^{2} - 7 x + 10}{4 x}$
222657	Solve the Inequality for x	1-x>0	$1 - x > 0$
222658	Evaluate	(4x)/5=(2x+58)/3	$\frac{4 x}{5} = \frac{2 x + 58}{3}$
222659	Write as a Single Logarithm	4 log base 4 of x+5 log base 4 of 2	$4 \log_{4} (x) + 5 \log_{4} (2)$
222660	Solve for x	x/(x+4)=3-4/(x+4)	$\frac{x}{x + 4} = 3 - \frac{4}{x + 4}$
222661	Simplify	(1/y+1/(xy))/(1+1/(xy))+(y+1)/(y+1/x)-1	$\frac{\frac{1}{y} + \frac{1}{x y}}{1 + \frac{1}{x y}} + \frac{y + 1}{y + \frac{1}{x}} - 1$
222662	Simplify the Radical Expression	(16x^4yz^6)^(1/2)	${(16 x^{4} y z^{6})}^{\frac{1}{2}}$
222663	Find All Complex Solutions	3tan(3x) = square root of 3	$3 \tan (3 x) = \sqrt{3}$
222664	Find the Product	5x^2*2y^2	$5 x^{2} \cdot 2 y^{2}$
222665	Solve for x	2x=4(x-2)+3	$2 x = 4 (x - 2) + 3$
222666	Evaluate	i^40i^13i^37	$i^{40} \cdot i^{13} \cdot i^{37}$
222667	Solve the Inequality for x	4/(3x-1)>-5/x	$\frac{4}{3 x - 1} > \frac{- 5}{x}$
222668	Divide Using Long Polynomial Division	Use the long division method to find the result when 6x^3+20x^2+27x+7 is divided by 3x+1	Use the long division method to find the result when $6 x^{3} + 20 x^{2} + 27 x + 7$ is divided by $3 x + 1$
222669	Evaluate	V(r)=4/3pir^3	$V (r) = \frac{4}{3} π r^{3}$
222670	Evaluate	(6^2)/((6^-2)^4)	$\frac{6^{2}}{{(6^{- 2})}^{4}}$
222671	Solve for x	2*x=3	$2 \cdot x = 3$
222672	Solve for x	-2/(x+1)+(5x-7)/(x-1)=-4/(x^2-1)	$- \frac{2}{x + 1} + \frac{5 x - 7}{x - 1} = - \frac{4}{x^{2} - 1}$
222673	Solve for x	cube root of x^2+5x = cube root of 50	$\sqrt[3]{x^{2} + 5 x} = \sqrt[3]{50}$
222674	Convert to a Decimal	1rad	$1$ radians
222675	Simplify	(2x(x+1)^2-4(x+1))/(2(x^2-1))	$\frac{2 x {(x + 1)}^{2} - 4 (x + 1)}{2 (x^{2} - 1)}$
222676	Solve for x	log of 5+ log of 2=x	$\log (5) + \log (2) = x$
222677	Simplify	(a+b^2-c^3)^2	${(a + b^{2} - c^{3})}^{2}$
222678	Solve Using the Quadratic Formula	x=(-(8)+- square root of (8)^2-4-37)/(2(-3))	$x = \frac{- (8) + - \sqrt{{(8)}^{2} - 4 \cdot - 3 \cdot 7}}{2 (- 3)}$
222679	Solve for y	11/2y+1/3=7/4y	$\frac{11}{2} y + \frac{1}{3} = \frac{7}{4} y$
222680	Evaluate	-7(k+5)=3k-(8k-1)	$- 7 (k + 5) = 3 k - (8 k - 1)$
222681	Graph	y>=2 1<=x<=5 y<=x+3	$y \geq 2$ $1 \leq x \leq 5$ $y \leq x + 3$
222682	Evaluate	sin(x)tan(x)	$\sin (x) \tan (x)$
222683	Find the Distance Between Two Points	(1,5) and (9,0)	$(1, 5)$ and $(9, 0)$
222684	Solve for x	(2x+7)/(x+3)-(3x)/(x-3)=5/(x-3)	$\frac{2 x + 7}{x + 3} - \frac{3 x}{x - 3} = \frac{5}{x - 3}$
222685	Determine the Possible Number of Real Roots	2x^4-5x^3+10x^2-9=0	$2 x^{4} - 5 x^{3} + 10 x^{2} - 9 = 0$
222686	Write in Standard Form	3y-5+4(x-y)=6x	$3 y - 5 + 4 (x - y) = 6 x$
222687	Simplify	square root of 42*( square root of 6+ square root of 7+ square root of 14- square root of 21)	$\sqrt{42} \cdot (\sqrt{6} + \sqrt{7} + \sqrt{14} - \sqrt{21})$
222688	Graph	(1,- square root of 3)	$(1, - \sqrt{3})$
222689	Simplify	6(3s-2.5-5s)	$6 (3 s - 2.5 - 5 s)$
222690	Evaluate	(5e^(7x))^4	${(5 e^{7 x})}^{4}$
222691	Simplify	-( fourth root of 6m^2)^3	$- {(\sqrt[4]{6 m^{2}})}^{3}$
222692	Identify the Zeros and Their Multiplicities	f(x)=7(x^2+4)^2(x-5)^3	$f (x) = 7 {(x^{2} + 4)}^{2} {(x - 5)}^{3}$
222693	Graph	f(x) = square root of x^2-4x+4	$f (x) = \sqrt{x^{2} - 4 x + 4}$
222694	Simplify	(9n^3p^3-18n^2p^2+21n^2p^3)/(3n^2p^2)	$\frac{9 n^{3} p^{3} - 18 n^{2} p^{2} + 21 n^{2} p^{3}}{3 n^{2} p^{2}}$
222695	Convert to a Decimal	Your school raised 125% of its fundraising goal. The school raised 6750 What was the goal?	Your school raised $125 %$ of its fundraising goal. The school raised $6750$ What was the goal?
222696	Divide	3/(4/2)	$\frac{3}{\frac{4}{2}}$
222697	Solve the Inequality for x	-1>10x-3(3x+3/2)	$- 1 > 10 x - 3 (3 x + \frac{3}{2})$
222698	Simplify the Radical Expression	square root of -100xy^8	$\sqrt{- 100 x y^{8}}$
222699	Solve the System of Equations	x-y=1 3x=3y+3	$x - y = 1$ $3 x = 3 y + 3$
222700	Evaluate	i^6*i^6	$i^{6} \cdot i^{6}$