Mathway | Popular Problems

Popular Problems

Rank	Topic	Problem	Formatted Problem
223401	Find the Roots (Zeros)	y=(4x^2+12x)/(x+7)	$y = \frac{4 x^{2} + 12 x}{x + 7}$
223402	Evaluate	(3^4*b^5)^2	${(3^{4} \cdot b^{5})}^{2}$
223403	Evaluate	square root of 648 = square root of 2^a*3^b	$\sqrt{648} = \sqrt{2^{a} \cdot 3^{b}}$
223404	Solve the System of Equations	0=-2y+10-6x 14-22y=18x	$0 = - 2 y + 10 - 6 x$ $14 - 22 y = 18 x$
223405	Simplify the Radical Expression	( square root of -56)/( square root of -7)	$\frac{\sqrt{- 56}}{\sqrt{- 7}}$
223406	Solve for n	n=3 , a=8	$n = 3$ , $a = 8$
223407	Find the Slope and y-intercept	-2(x+3y)=12	$- 2 (x + 3 y) = 12$
223408	Evaluate	(x^3y^-2)/((3y^2x-x^2y^-1)^2)	$\frac{x^{3} y^{- 2}}{{(3 y^{2} x - x^{2} y^{- 1})}^{2}}$
223409	Find All Complex Solutions	b^2-10b=39	$b^{2} - 10 b = 39$
223410	Solve by Substitution	y=9x y=2x	$y = 9 x$ $y = 2 x$
223411	Solve for x	6x-4/7(21x-35)=2	$6 x - \frac{4}{7} (21 x - 35) = 2$
223412	Evaluate	3(x-8)+4x=8x+4	$3 (x - 8) + 4 x = 8 x + 4$
223413	Simplify	(-x^2+x+2)^2	${(- x^{2} + x + 2)}^{2}$
223414	Simplify	(7- square root of -1)- square root of -81	$(7 - \sqrt{- 1}) - \sqrt{- 81}$
223415	Solve for x	3/2(4x-1)+8x=-(4x+1/2)+4x	$\frac{3}{2} (4 x - 1) + 8 x = - (4 x + \frac{1}{2}) + 4 x$
223416	Solve the Inequality for x	y>x-5	$y > x - 5$
223417	Solve the System of Equations	x-2y=-19 -5x-2y=-1 6x+0=-18	$x - 2 y = - 19$ $- 5 x - 2 y = - 1$ $6 x + 0 = - 18$
223418	Solve for x	2/(3x^(1/3))=1	$\frac{2}{3 x^{\frac{1}{3}}} = 1$
223419	Simplify	x^3(x-1)^2(2+x)(2-x)	$x^{3} {(x - 1)}^{2} (2 + x) (2 - x)$
223420	Evaluate	x2/3	$x \frac{2}{3}$
223421	Expand the Logarithmic Expression	log base 13 of (3x^4)/( cube root of 7x-3)	$\log_{13} (\frac{3 x^{4}}{\sqrt[3]{7 x - 3}})$
223422	Write in Exponential Form	(3^3)^2*3^2	${(3^{3})}^{2} \cdot 3^{2}$
223423	Solve for x	(1/4)^x=8^(1-x)	${(\frac{1}{4})}^{x} = 8^{1 - x}$
223424	Solve for k	square root of 5k-9 = square root of 3k+15	$\sqrt{5 k - 9} = \sqrt{3 k + 15}$
223425	Convert to a Decimal	585deg	$585$ degrees
223426	Solve for x	x+x/2=1+2x	$x + \frac{x}{2} = 1 + 2 x$
223427	Rationalize the Denominator	(a-b)/( fourth root of a^3- fourth root of a^2b)	$\frac{a - b}{\sqrt[4]{a^{3}} - \sqrt[4]{a^{2} b}}$
223428	Simplify	((a^-2)^3b^4)/(b^-2)	$\frac{{(a^{- 2})}^{3} b^{4}}{b^{- 2}}$
223429	Solve for x	y=x+p-q	$y = x + p - q$
223430	Solve the Inequality for x	cos(x)<1	$\cos (x) < 1$
223431	Find the Product	-5x^3(2x^3-4x^2+2)	$- 5 x^{3} (2 x^{3} - 4 x^{2} + 2)$
223432	Solve for x	-3/4x-11/4x=-7/2	$- \frac{3}{4} x - \frac{11}{4} x = - \frac{7}{2}$
223433	Solve for y	y^0+y^1=1/(x^-2)	$y^{0} + y^{1} = \frac{1}{x^{- 2}}$
223434	Graph	x+y>-3 x+y>1	$x + y > - 3$ $x + y > 1$
223435	Graph	square root of 3x-12+7<=16	$\sqrt{3 x - 12} + 7 \leq 16$
223436	Find the LCD	7/(6x) and 8/(3x+12)	$\frac{7}{6 x}$ and $\frac{8}{3 x + 12}$
223437	Solve for x	square root of (1-x)^2+8=17	$\sqrt{{(1 - x)}^{2}} + 8 = 17$
223438	Solve for a	\|2a+5\|<=3	$\| 2 a + 5 \| \leq 3$
223439	Convert to a Decimal	sin(285)deg	$\sin (285)$ degrees
223440	Multiply	square root of 3* cube root of 18	$\sqrt{3} \cdot \sqrt[3]{18}$
223441	Write in Standard Form	(-x^2-1)-(-2x^2-4)	$(- x^{2} - 1) - (- 2 x^{2} - 4)$
223442	Simplify the Radical Expression	cube root of 9xy^2*3 cube root of 3x^4y^6	$\sqrt[3]{9 x y^{2}} \cdot 3 \sqrt[3]{3 x^{4} y^{6}}$
223443	Multiply	(x- square root of 8)(x+ square root of 8)	$(x - \sqrt{8}) (x + \sqrt{8})$
223444	Graph	g(x)=f(-x+2)	$g (x) = f (- x + 2)$
223445	Simplify	3 square root of 6x^2-2 square root of 20x^3+2x square root of 45x	$3 \sqrt{6 x^{2}} - 2 \sqrt{20 x^{3}} + 2 x \sqrt{45 x}$
223446	Write Using Positive Exponents	4^4(4^-7)(4)	$4^{4} (4^{- 7}) (4)$
223447	Simplify	- fourth root of y+2 square root of y-7 fourth root of y- square root of y	$- \sqrt[4]{y} + 2 \sqrt{y} - 7 \sqrt[4]{y} - \sqrt{y}$
223448	Simplify	((2a)/(3b))÷((3a)/(2b))	$\frac{2 a}{3 b} \div \frac{3 a}{2 b}$
223449	Rewrite the Cartesian Equation as a Polar Equation	x=-1	$x = - 1$
223450	Factor	(w^2-5w-24)/(w+1)*(w^2-6w-7)/(w+3)	$\frac{w^{2} - 5 w - 24}{w + 1} \cdot \frac{w^{2} - 6 w - 7}{w + 3}$
223451	Solve the Inequality for x	y>-3x+4	$y > - 3 x + 4$
223452	Evaluate	g(x)=14*2^x	$g (x) = 14 \cdot 2^{x}$
223453	Solve the Inequality for x	8x^2+50x-5<10x-5	$8 x^{2} + 50 x - 5 < 10 x - 5$
223454	Solve for m	2(-3m-5)>=-28	$2 (- 3 m - 5) \geq - 28$
223455	Solve for x	1/2x-1=(1/3)^(2x-1)	$\frac{1}{2} x - 1 = {(\frac{1}{3})}^{2 x - 1}$
223456	Find the LCD	(2x)/(x+1) and -3/(5x+5)	$\frac{2 x}{x + 1}$ and $\frac{- 3}{5 x + 5}$
223457	Simplify	(4n)/( square root of 10n^5)	$\frac{4 n}{\sqrt{10 n^{5}}}$
223458	Simplify	8/6+(-9/5)	$\frac{8}{6} + (- \frac{9}{5})$
223459	Find the Product	(3f-2g)(f^2+2(fg)-g^2)	$(3 f - 2 g) (f^{2} + 2 f g - g^{2})$
223460	Evaluate	(x^-2y^2)/(x^0y^3)	$\frac{x^{- 2} y^{2}}{x^{0} y^{3}}$
223461	Solve for y	2xy=1	$2 x y = 1$
223462	Solve the Inequality for x	2\|x-3\|+6>10	$2 \| x - 3 \| + 6 > 10$
223463	Subtract	70%-45	$70 % - 45$
223464	Solve for x	5/6-(x+5)/42=1	$\frac{5}{6} - \frac{x + 5}{42} = 1$
223465	Solve for r	r = square root of 10r	$r = \sqrt{10 r}$
223466	Simplify	2 square root of 10y+ square root of 40y-2 square root of y	$2 \sqrt{10 y} + \sqrt{40 y} - 2 \sqrt{y}$
223467	Find the Domain and Range	y=2pitan(3x)	$y = 2 π \tan (3 x)$
223468	Solve for x	0 = square root of 6x-x	$0 = \sqrt{6 x} - x$
223469	Simplify	-2r^6s^2t*-9r^3s^2t^4	$- 2 r^{6} s^{2} t \cdot - 9 r^{3} s^{2} t^{4}$
223470	Graph	2-(x+3)<4-2x	$2 - (x + 3) < 4 - 2 x$
223471	Convert to Radical Form	((8^-5)/(2^-2))^-4	${(\frac{8^{- 5}}{2^{- 2}})}^{- 4}$
223472	Find the LCD	1/(x-3) and 8/(x+3)	$\frac{1}{x - 3}$ and $\frac{8}{x + 3}$
223473	Solve the Inequality for X	4X^2(X^2-9)<=0	$4 X^{2} (X^{2} - 9) \leq 0$
223474	Evaluate	(4-7i)-(-3+6i)	$(4 - 7 i) - (- 3 + 6 i)$
223475	Graph	x-4<=-2(y+6)	$x - 4 \leq - 2 (y + 6)$
223476	Simplify	(3x)/(4y^2)-y/(10x)	$\frac{3 x}{4 y^{2}} - \frac{y}{10 x}$
223477	Divide	(2/3)÷(-2/7)	$\frac{2}{3} \div (- \frac{2}{7})$
223478	Evaluate Using the Given Value	evaluate 6h when h=8	evaluate $6 h$ when $h = 8$
223479	Evaluate	log base 8 of 4+ log base 4 of 8	$\log_{8} (4) + \log_{4} (8)$
223480	Simplify	(w^2-4w-1)+(-5+5w^2-3w)	$(w^{2} - 4 w - 1) + (- 5 + 5 w^{2} - 3 w)$
223481	Solve for x	4^(2x+3)+5=6	$4^{2 x + 3} + 5 = 6$
223482	Evaluate	((5)(3)-(2-7))/4	$\frac{(5) (3) - (2 - 7)}{4}$
223483	Factor	(2x^2-5x+3)(x-3)	$(2 x^{2} - 5 x + 3) (x - 3)$
223484	Solve for y	y-1/8=5/16	$y - \frac{1}{8} = \frac{5}{16}$
223485	Subtract	7z^2-2z^4-2z^2-5z^4	$7 z^{2} - 2 z^{4} - 2 z^{2} - 5 z^{4}$
223486	Evaluate	3(x+9)^(3/4)=24	$3 {(x + 9)}^{\frac{3}{4}} = 24$
223487	Simplify	((e^2-f^2)/(ef))/((e-f)/f)	$\frac{\frac{e^{2} - f^{2}}{e f}}{\frac{e - f}{f}}$
223488	Convert to Interval Notation	(x-6)/4<(x-3)/6+1/12	$\frac{x - 6}{4} < \frac{x - 3}{6} + \frac{1}{12}$
223489	Simplify	5 square root of 6x*2 square root of 8x^6	$5 \sqrt{6 x} \cdot 2 \sqrt{8 x^{6}}$
223490	Find f(g(x))	f(x)=2x-3 and g(x)=1/2x+3	$f (x) = 2 x - 3$ and $g (x) = \frac{1}{2} x + 3$
223491	Solve for P₂	P_1/T_1=P_2/T_2	$\frac{P_{1}}{T_{1}} = \frac{P_{2}}{T_{2}}$
223492	Evaluate	3 square root of x+3=15	$3 \sqrt{x + 3} = 15$
223493	Solve the System of Equations	2x+3y=3 and 3x-2y=11	$2 x + 3 y = 3$ and $3 x - 2 y = 11$
223494	Simplify	(-7d^3+5d+5d^2-6d^4)-(8d+5d^2+2d^4+3d^3)	$(- 7 d^{3} + 5 d + 5 d^{2} - 6 d^{4}) - (8 d + 5 d^{2} + 2 d^{4} + 3 d^{3})$
223495	Solve for y	1/3y+7+1/6y=1/2y-1	$\frac{1}{3} y + 7 + \frac{1}{6} y = \frac{1}{2} y - 1$
223496	Solve for n	log base 3 of 27=3n+6	$\log_{3} (27) = 3 n + 6$
223497	Solve for u	18u-5u+29=6u-27	$18 u - 5 u + 29 = 6 u - 27$
223498	Simplify	x/(x^2-x-20)+2/(x+4)	$\frac{x}{x^{2} - x - 20} + \frac{2}{x + 4}$
223499	Simplify	((x+9)/(2x)*(x^2-64)/(x+8))÷((x^2+x-72)/3)	$\frac{x + 9}{2 x} \cdot \frac{x^{2} - 64}{x + 8} \div \frac{x^{2} + x - 72}{3}$
223500	Write in Standard Form	(a^3-2a^2)-(3a^2-4a^3)	$(a^{3} - 2 a^{2}) - (3 a^{2} - 4 a^{3})$