Mathway | Popular Problems

Popular Problems

Rank	Topic	Problem	Formatted Problem
223401	Solve the Inequality for x	y>x-5	$y > x - 5$
223402	Solve the System of Equations	x-2y=-19 -5x-2y=-1 6x+0=-18	$x - 2 y = - 19$ $- 5 x - 2 y = - 1$ $6 x + 0 = - 18$
223403	Solve for x	2/(3x^(1/3))=1	$\frac{2}{3 x^{\frac{1}{3}}} = 1$
223404	Simplify	x^3(x-1)^2(2+x)(2-x)	$x^{3} {(x - 1)}^{2} (2 + x) (2 - x)$
223405	Evaluate	x2/3	$x \frac{2}{3}$
223406	Expand the Logarithmic Expression	log base 13 of (3x^4)/( cube root of 7x-3)	$\log_{13} (\frac{3 x^{4}}{\sqrt[3]{7 x - 3}})$
223407	Write in Exponential Form	(3^3)^2*3^2	${(3^{3})}^{2} \cdot 3^{2}$
223408	Solve for x	(1/4)^x=8^(1-x)	${(\frac{1}{4})}^{x} = 8^{1 - x}$
223409	Solve for k	square root of 5k-9 = square root of 3k+15	$\sqrt{5 k - 9} = \sqrt{3 k + 15}$
223410	Convert to a Decimal	585deg	$585$ degrees
223411	Solve for x	x+x/2=1+2x	$x + \frac{x}{2} = 1 + 2 x$
223412	Rationalize the Denominator	(a-b)/( fourth root of a^3- fourth root of a^2b)	$\frac{a - b}{\sqrt[4]{a^{3}} - \sqrt[4]{a^{2} b}}$
223413	Simplify	((a^-2)^3b^4)/(b^-2)	$\frac{{(a^{- 2})}^{3} b^{4}}{b^{- 2}}$
223414	Solve for x	y=x+p-q	$y = x + p - q$
223415	Solve the Inequality for x	cos(x)<1	$\cos (x) < 1$
223416	Find the Product	-5x^3(2x^3-4x^2+2)	$- 5 x^{3} (2 x^{3} - 4 x^{2} + 2)$
223417	Solve for x	-3/4x-11/4x=-7/2	$- \frac{3}{4} x - \frac{11}{4} x = - \frac{7}{2}$
223418	Solve for y	y^0+y^1=1/(x^-2)	$y^{0} + y^{1} = \frac{1}{x^{- 2}}$
223419	Graph	x+y>-3 x+y>1	$x + y > - 3$ $x + y > 1$
223420	Graph	square root of 3x-12+7<=16	$\sqrt{3 x - 12} + 7 \leq 16$
223421	Find the LCD	7/(6x) and 8/(3x+12)	$\frac{7}{6 x}$ and $\frac{8}{3 x + 12}$
223422	Solve for x	square root of (1-x)^2+8=17	$\sqrt{{(1 - x)}^{2}} + 8 = 17$
223423	Solve for a	\|2a+5\|<=3	$\| 2 a + 5 \| \leq 3$
223424	Convert to a Decimal	sin(285)deg	$\sin (285)$ degrees
223425	Multiply	square root of 3* cube root of 18	$\sqrt{3} \cdot \sqrt[3]{18}$
223426	Write in Standard Form	(-x^2-1)-(-2x^2-4)	$(- x^{2} - 1) - (- 2 x^{2} - 4)$
223427	Simplify the Radical Expression	cube root of 9xy^2*3 cube root of 3x^4y^6	$\sqrt[3]{9 x y^{2}} \cdot 3 \sqrt[3]{3 x^{4} y^{6}}$
223428	Multiply	(x- square root of 8)(x+ square root of 8)	$(x - \sqrt{8}) (x + \sqrt{8})$
223429	Graph	g(x)=f(-x+2)	$g (x) = f (- x + 2)$
223430	Simplify	3 square root of 6x^2-2 square root of 20x^3+2x square root of 45x	$3 \sqrt{6 x^{2}} - 2 \sqrt{20 x^{3}} + 2 x \sqrt{45 x}$
223431	Write Using Positive Exponents	4^4(4^-7)(4)	$4^{4} (4^{- 7}) (4)$
223432	Simplify	- fourth root of y+2 square root of y-7 fourth root of y- square root of y	$- \sqrt[4]{y} + 2 \sqrt{y} - 7 \sqrt[4]{y} - \sqrt{y}$
223433	Simplify	((2a)/(3b))÷((3a)/(2b))	$\frac{2 a}{3 b} \div \frac{3 a}{2 b}$
223434	Rewrite the Cartesian Equation as a Polar Equation	x=-1	$x = - 1$
223435	Factor	(w^2-5w-24)/(w+1)*(w^2-6w-7)/(w+3)	$\frac{w^{2} - 5 w - 24}{w + 1} \cdot \frac{w^{2} - 6 w - 7}{w + 3}$
223436	Solve the Inequality for x	y>-3x+4	$y > - 3 x + 4$
223437	Evaluate	g(x)=14*2^x	$g (x) = 14 \cdot 2^{x}$
223438	Solve the Inequality for x	8x^2+50x-5<10x-5	$8 x^{2} + 50 x - 5 < 10 x - 5$
223439	Solve for m	2(-3m-5)>=-28	$2 (- 3 m - 5) \geq - 28$
223440	Solve for x	1/2x-1=(1/3)^(2x-1)	$\frac{1}{2} x - 1 = {(\frac{1}{3})}^{2 x - 1}$
223441	Find the LCD	(2x)/(x+1) and -3/(5x+5)	$\frac{2 x}{x + 1}$ and $\frac{- 3}{5 x + 5}$
223442	Simplify	(4n)/( square root of 10n^5)	$\frac{4 n}{\sqrt{10 n^{5}}}$
223443	Simplify	8/6+(-9/5)	$\frac{8}{6} + (- \frac{9}{5})$
223444	Find the Product	(3f-2g)(f^2+2(fg)-g^2)	$(3 f - 2 g) (f^{2} + 2 f g - g^{2})$
223445	Evaluate	(x^-2y^2)/(x^0y^3)	$\frac{x^{- 2} y^{2}}{x^{0} y^{3}}$
223446	Solve for y	2xy=1	$2 x y = 1$
223447	Solve the Inequality for x	2\|x-3\|+6>10	$2 \| x - 3 \| + 6 > 10$
223448	Subtract	70%-45	$70 % - 45$
223449	Solve for x	5/6-(x+5)/42=1	$\frac{5}{6} - \frac{x + 5}{42} = 1$
223450	Solve for r	r = square root of 10r	$r = \sqrt{10 r}$
223451	Simplify	2 square root of 10y+ square root of 40y-2 square root of y	$2 \sqrt{10 y} + \sqrt{40 y} - 2 \sqrt{y}$
223452	Find the Domain and Range	y=2pitan(3x)	$y = 2 π \tan (3 x)$
223453	Solve for x	0 = square root of 6x-x	$0 = \sqrt{6 x} - x$
223454	Simplify	-2r^6s^2t*-9r^3s^2t^4	$- 2 r^{6} s^{2} t \cdot - 9 r^{3} s^{2} t^{4}$
223455	Graph	2-(x+3)<4-2x	$2 - (x + 3) < 4 - 2 x$
223456	Convert to Radical Form	((8^-5)/(2^-2))^-4	${(\frac{8^{- 5}}{2^{- 2}})}^{- 4}$
223457	Find the LCD	1/(x-3) and 8/(x+3)	$\frac{1}{x - 3}$ and $\frac{8}{x + 3}$
223458	Solve the Inequality for X	4X^2(X^2-9)<=0	$4 X^{2} (X^{2} - 9) \leq 0$
223459	Evaluate	(4-7i)-(-3+6i)	$(4 - 7 i) - (- 3 + 6 i)$
223460	Graph	x-4<=-2(y+6)	$x - 4 \leq - 2 (y + 6)$
223461	Simplify	(3x)/(4y^2)-y/(10x)	$\frac{3 x}{4 y^{2}} - \frac{y}{10 x}$
223462	Divide	(2/3)÷(-2/7)	$\frac{2}{3} \div (- \frac{2}{7})$
223463	Evaluate Using the Given Value	evaluate 6h when h=8	evaluate $6 h$ when $h = 8$
223464	Evaluate	log base 8 of 4+ log base 4 of 8	$\log_{8} (4) + \log_{4} (8)$
223465	Simplify	(w^2-4w-1)+(-5+5w^2-3w)	$(w^{2} - 4 w - 1) + (- 5 + 5 w^{2} - 3 w)$
223466	Solve for x	4^(2x+3)+5=6	$4^{2 x + 3} + 5 = 6$
223467	Evaluate	((5)(3)-(2-7))/4	$\frac{(5) (3) - (2 - 7)}{4}$
223468	Factor	(2x^2-5x+3)(x-3)	$(2 x^{2} - 5 x + 3) (x - 3)$
223469	Solve for y	y-1/8=5/16	$y - \frac{1}{8} = \frac{5}{16}$
223470	Subtract	7z^2-2z^4-2z^2-5z^4	$7 z^{2} - 2 z^{4} - 2 z^{2} - 5 z^{4}$
223471	Evaluate	3(x+9)^(3/4)=24	$3 {(x + 9)}^{\frac{3}{4}} = 24$
223472	Simplify	((e^2-f^2)/(ef))/((e-f)/f)	$\frac{\frac{e^{2} - f^{2}}{e f}}{\frac{e - f}{f}}$
223473	Convert to Interval Notation	(x-6)/4<(x-3)/6+1/12	$\frac{x - 6}{4} < \frac{x - 3}{6} + \frac{1}{12}$
223474	Simplify	5 square root of 6x*2 square root of 8x^6	$5 \sqrt{6 x} \cdot 2 \sqrt{8 x^{6}}$
223475	Find f(g(x))	f(x)=2x-3 and g(x)=1/2x+3	$f (x) = 2 x - 3$ and $g (x) = \frac{1}{2} x + 3$
223476	Solve for P₂	P_1/T_1=P_2/T_2	$\frac{P_{1}}{T_{1}} = \frac{P_{2}}{T_{2}}$
223477	Evaluate	3 square root of x+3=15	$3 \sqrt{x + 3} = 15$
223478	Solve the System of Equations	2x+3y=3 and 3x-2y=11	$2 x + 3 y = 3$ and $3 x - 2 y = 11$
223479	Simplify	(-7d^3+5d+5d^2-6d^4)-(8d+5d^2+2d^4+3d^3)	$(- 7 d^{3} + 5 d + 5 d^{2} - 6 d^{4}) - (8 d + 5 d^{2} + 2 d^{4} + 3 d^{3})$
223480	Solve for y	1/3y+7+1/6y=1/2y-1	$\frac{1}{3} y + 7 + \frac{1}{6} y = \frac{1}{2} y - 1$
223481	Solve for n	log base 3 of 27=3n+6	$\log_{3} (27) = 3 n + 6$
223482	Solve for u	18u-5u+29=6u-27	$18 u - 5 u + 29 = 6 u - 27$
223483	Simplify	x/(x^2-x-20)+2/(x+4)	$\frac{x}{x^{2} - x - 20} + \frac{2}{x + 4}$
223484	Simplify	((x+9)/(2x)*(x^2-64)/(x+8))÷((x^2+x-72)/3)	$\frac{x + 9}{2 x} \cdot \frac{x^{2} - 64}{x + 8} \div \frac{x^{2} + x - 72}{3}$
223485	Write in Standard Form	(a^3-2a^2)-(3a^2-4a^3)	$(a^{3} - 2 a^{2}) - (3 a^{2} - 4 a^{3})$
223486	Simplify	5/(x+5)-(2x+5)/(x^2+9x+20)	$\frac{5}{x + 5} - \frac{2 x + 5}{x^{2} + 9 x + 20}$
223487	Graph	x>-4 y>=1/2x-3	$x > - 4$ $y \geq \frac{1}{2} x - 3$
223488	Solve for x	(2x-3)/x=14/(x+5)	$\frac{2 x - 3}{x} = \frac{14}{x + 5}$
223489	Graph	f(x)=3+2x^2-4x^3	$f (x) = 3 + 2 x^{2} - 4 x^{3}$
223490	Subtract	(7x^4-3x^3+5x^2+8x-11)-(3x^4-9x^3-4x^2+12x+4)	$(7 x^{4} - 3 x^{3} + 5 x^{2} + 8 x - 11) - (3 x^{4} - 9 x^{3} - 4 x^{2} + 12 x + 4)$
223491	Multiply	square root of 2a* square root of 14a^3* square root of 5a	$\sqrt{2 a} \cdot \sqrt{14 a^{3}} \cdot \sqrt{5 a}$
223492	Solve for x	2x(10x+8)=-3(x+1)	$2 x (10 x + 8) = - 3 (x + 1)$
223493	Find the Equation with a Point and Slope	What is the equation of the line that passes through the point (-5,1) and has a slope of -6/5 ?	What is the equation of the line that passes through the point $(- 5, 1)$ and has a slope of $- \frac{6}{5}$ ?
223494	Find the Equation Using Slope-Intercept Form	What is the equation of the line that passes through the point (5,-7) and has a slope of o ?	What is the equation of the line that passes through the point $(5, - 7)$ and has a slope of $o$ ?
223495	Simplify	( cube root of 5j^7)( cube root of 20j^2)	$(\sqrt[3]{5 j^{7}}) (\sqrt[3]{20 j^{2}})$
223496	Simplify	x--x	$x - - x$
223497	Find the Exact Value	arccos(csc(pi/3))	$\arccos (\csc (\frac{π}{3}))$
223498	Write the Fraction in Simplest Form	(5n^-7c^4)/(-3(n^-3c^2)^2)	$\frac{5 n^{- 7} c^{4}}{- 3 {(n^{- 3} c^{2})}^{2}}$
223499	Simplify	1/2(22x+4y)	$\frac{1}{2} (22 x + 4 y)$
223500	Graph	x+y<=30 2.5x+2.75y>=44	$x + y \leq 30$ $2.5 x + 2.75 y \geq 44$