Mathway | Popular Problems

Popular Problems

Rank	Topic	Problem	Formatted Problem
197601	Convert to Rectangular	r^2-2rsin(theta)=0	$r^{2} - 2 r \sin (θ) = 0$
197602	Solve for x	(1/4)^x=8	${(\frac{1}{4})}^{x} = 8$
197603	Solve for x	x^3+x-2=0	$x^{3} + x - 2 = 0$
197604	Graph	2x-4/5y<=3	$2 x - \frac{4}{5} y \leq 3$
197605	Simplify	-x/(x^2)	$- \frac{x}{x^{2}}$
197606	Solve the System of Equations	2x+y=1 -2y+5z=-5 3x+4z=-2	$2 x + y = 1$ $- 2 y + 5 z = - 5$ $3 x + 4 z = - 2$
197607	Solve for x	5(x-3)+7(2-x)-4(2x+7)-3x+2=11-8(x-7)+4x-(6-5x)+8-2x	$5 (x - 3) + 7 (2 - x) - 4 (2 x + 7) - 3 x + 2 = 11 - 8 (x - 7) + 4 x - (6 - 5 x) + 8 - 2 x$
197608	Write in y=mx+b Form	4x+16-8y=0	$4 x + 16 - 8 y = 0$
197609	Simplify	-1/2+1/6	$- \frac{1}{2} + \frac{1}{6}$
197610	Simplify	2m-(n-(m-2n))	$2 m - (n - (m - 2 n))$
197611	Find the x and y Intercepts	y=(2x)/(x-1)	$y = \frac{2 x}{x - 1}$
197612	Solve for x	-7/(6x)+5/(4x)=2	$- \frac{7}{6 x} + \frac{5}{4 x} = 2$
197613	Solve for y	6+1/3y=10+12x	$6 + \frac{1}{3} y = 10 + 12 x$
197614	Find f(g(x))	f(x) = square root of x+4 , g(x)=x^2-4	$f (x) = \sqrt{x + 4}$ , $g (x) = x^{2} - 4$
197615	Solve for r	1/2r^2-10=3/2r^2	$\frac{1}{2} r^{2} - 10 = \frac{3}{2} r^{2}$
197616	Solve for x	(x-3)^(2x-1)=(x-3)^(x+1)	${(x - 3)}^{2 x - 1} = {(x - 3)}^{x + 1}$
197617	Find the Domain and Range	y = log base 3 of 2x-6+3	$y = \log_{3} (2 x - 6) + 3$
197618	Solve the System of Equations	2x+y-z=9 x-2y+z=-1 -x+2y+2z=-5	$2 x + y - z = 9$ $x - 2 y + z = - 1$ $- x + 2 y + 2 z = - 5$
197619	Find the Points of Intersection	3x+2y-4=0 y=(x/2)-2	$3 x + 2 y - 4 = 0$ $y = (\frac{x}{2}) - 2$
197620	Find g(f(x))	f(x)=6/(1-7x) , g(x)=1/x	$f (x) = \frac{6}{1 - 7 x}$ , $g (x) = \frac{1}{x}$
197621	Simplify	2 square root of xy-6 square root of xy+ square root of xy	$2 \sqrt{x y} - 6 \sqrt{x y} + \sqrt{x y}$
197622	Solve the Inequality for x	((x+6)*(x-2))/(x+1)<=0	$\frac{(x + 6) \cdot (x - 2)}{x + 1} \leq 0$
197623	Solve the System of Equations	y=x^2-4 y=5	$y = x^{2} - 4$ $y = 5$
197624	Simplify	(7x^2)/(12w)-(3x^2)/(12w)	$\frac{7 x^{2}}{12 w} - \frac{3 x^{2}}{12 w}$
197625	Simplify	(-3n+12)/(84n^2+76n+16)	$\frac{- 3 n + 12}{84 n^{2} + 76 n + 16}$
197626	Find the Roots (Zeros)	2x^2+4x=16	$2 x^{2} + 4 x = 16$
197627	Solve for x	square root of x^2-6x-6-3=4	$\sqrt{x^{2} - 6 x - 6} - 3 = 4$
197628	Simplify	-3/(-3/x)	$- \frac{3}{- \frac{3}{x}}$
197629	Solve for u	2(u-9)=4	$2 (u - 9) = 4$
197630	Write the Fraction in Simplest Form	(-5)^-3	${(- 5)}^{- 3}$
197631	Simplify	7x+6x^2-5x+8x^3+3x-4x^2	$7 x + 6 x^{2} - 5 x + 8 x^{3} + 3 x - 4 x^{2}$
197632	Write as a Single Logarithm	7* natural log of a-4* natural log of b	$7 \cdot \ln (a) - 4 \cdot \ln (b)$
197633	Find the First Term	a_n=n^2-3	$a_{n} = n^{2} - 3$
197634	Graph	y(x)=\|5x-3\|+4	$y (x) = \| 5 x - 3 \| + 4$
197635	Solve for x	-3(x^2-49)(x^2+25)=0	$- 3 (x^{2} - 49) (x^{2} + 25) = 0$
197636	Solve for y	2x-yi=14+12i	$2 x - y i = 14 + 12 i$
197637	Factor by Grouping	a^3-a^2c-ba^2+abc	$a^{3} - a^{2} c - b a^{2} + a b c$
197638	Solve for y	y-13<=-15	$y - 13 \leq - 15$
197639	Graph	x^2+3>y	$x^{2} + 3 > y$
197640	Solve for h	(h-6)/9=(h+9)/4	$\frac{h - 6}{9} = \frac{h + 9}{4}$
197641	Solve for x	(3x-6)/7-(3x+3)/10=9/70	$\frac{3 x - 6}{7} - \frac{3 x + 3}{10} = \frac{9}{70}$
197642	Simplify	((x^2)/(y^2)-1)/(x/y+1)	$\frac{\frac{x^{2}}{y^{2}} - 1}{\frac{x}{y} + 1}$
197643	Solve for x	( log base 3 of x)^2-( log base 3 of x)=12	${\log_{3}}^{2} (x) - (\log_{3} (x)) = 12$
197644	Solve the System of Inequalities	4x-39>-43 ; AND , 8x+31<23	$4 x - 39 > - 43$ ; AND , $8 x + 31 < 23$
197645	Solve Using the Quadratic Formula	4/(x-3)+x/2=-2	$\frac{4}{x - 3} + \frac{x}{2} = - 2$
197646	Solve for x	log base 4 of 4x^2+1- log base 4 of x+4=0	$\log_{4} (4 x^{2} + 1) - \log_{4} (x + 4) = 0$
197647	Simplify	( cube root of a^10b^16)/( cube root of a^5b^4)	$\frac{\sqrt[3]{a^{10} b^{16}}}{\sqrt[3]{a^{5} b^{4}}}$
197648	Divide	(-5/2)÷(-15/17)	$- \frac{5}{2} \div (- \frac{15}{17})$
197649	Solve the Inequality for x	4/3x<-8	$\frac{4}{3} x < - 8$
197650	Solve for w	-1/5=w-4/5	$- \frac{1}{5} = w - \frac{4}{5}$
197651	Simplify	square root of 2^4* square root of 5	$\sqrt{2^{4}} \cdot \sqrt{5}$
197652	Subtract	(x+2)/x-(x+3)	$\frac{x + 2}{x} - (x + 3)$
197653	Solve for x	-3x(4x^2-9)(x^2-14)=0	$- 3 x (4 x^{2} - 9) (x^{2} - 14) = 0$
197654	Solve for x	-3(7x+1.4)-7.9=x	$- 3 (7 x + 1.4) - 7.9 = x$
197655	Find the Roots (Zeros)	P(x)=0	$P (x) = 0$
197656	Solve the Inequality for x	\|2x-1\|=3	$\| 2 x - 1 \| = 3$
197657	Graph Using a Table of Values	y=-x^2-2x+3	$y = - x^{2} - 2 x + 3$
197658	Find the x and y Intercepts	f(x)=(x+3)(4x^2-1)	$f (x) = (x + 3) (4 x^{2} - 1)$
197659	Solve for y	(x+yi)+(4-7i)=3-4i	$(x + y i) + (4 - 7 i) = 3 - 4 i$
197660	Simplify	((x+y)^-1)/(x^-1+y^-1)	$\frac{{(x + y)}^{- 1}}{x^{- 1} + y^{- 1}}$
197661	Evaluate	1/2(9.8)(3)^2	$\frac{1}{2} (9.8) {(3)}^{2}$
197662	Evaluate the Function	f(x-8) = square root of (x-8)+8+2	$f (x - 8) = \sqrt{(x - 8) + 8} + 2$
197663	Evaluate	-x*(-x)	$- x \cdot (- x)$
197664	Solve by Factoring	1/x-x/6=2/3	$\frac{1}{x} - \frac{x}{6} = \frac{2}{3}$
197665	Multiply	(11ab^2)/(2c)*(10c)/(33ab)	$\frac{11 a b^{2}}{2 c} \cdot \frac{10 c}{33 a b}$
197666	Solve the Inequality for x	\|x/3+9\|<15	$\| \frac{x}{3} + 9 \| < 15$
197667	Graph	y=-x^3+2x^2+x-2	$y = - x^{3} + 2 x^{2} + x - 2$
197668	Solve the Inequality for x	-53<9x+1<-26	$- 53 < 9 x + 1 < - 26$
197669	Solve for x	3x+2(x-4)=4(x-1)+x	$3 x + 2 (x - 4) = 4 (x - 1) + x$
197670	Solve for a	4/(a-2)=3	$\frac{4}{a - 2} = 3$
197671	Simplify	(2x+1)/(x^2+4x+4)-(6x)/(x^2-4)+3/(x-2)	$\frac{2 x + 1}{x^{2} + 4 x + 4} - \frac{6 x}{x^{2} - 4} + \frac{3}{x - 2}$
197672	Evaluate	(7*5)÷5	$(7 \times 5) \div 5$
197673	Factor	x^6-3x^5+2x^2-6x	$x^{6} - 3 x^{5} + 2 x^{2} - 6 x$
197674	Solve the Absolute Value Inequality for m	(\|6-2m\|)/-4-7=-19	$\frac{\| 6 - 2 m \|}{- 4} - 7 = - 19$
197675	Factor	3(x+2y)^2-13x(x+2y)+4x^2	$3 {(x + 2 y)}^{2} - 13 x (x + 2 y) + 4 x^{2}$
197676	Solve for c	\|c+3\|=15	$\| c + 3 \| = 15$
197677	Solve for F	5F-9C=160	$5 F - 9 C = 160$
197678	Solve the Inequality for x	-3x<=-3x	$- 3 x \leq - 3 x$
197679	Solve for d	a=(pid^2)/4	$a = \frac{π d^{2}}{4}$
197680	Simplify	(x+2 square root of 3i)(x-2 square root of 3i)	$(x + 2 \sqrt{3} i) (x - 2 \sqrt{3} i)$
197681	Solve for x	x+10=3(x-1)^2	$x + 10 = 3 {(x - 1)}^{2}$
197682	Graph	f(x)=-1x	$f (x) = - 1 x$
197683	Solve for n	\|3n-2\|-2<1	$\| 3 n - 2 \| - 2 < 1$
197684	Expand the Logarithmic Expression	log base b of (4^2x^3)/y	$\log_{b} (\frac{4^{2} x^{3}}{y})$
197685	Solve the System of Equations	-x+y=-7 -3x+4y=-27	$- x + y = - 7$ $- 3 x + 4 y = - 27$
197686	Solve for z	12z^2+7z-16=-6	$12 z^{2} + 7 z - 16 = - 6$
197687	Find the Degree	x(x-4)(x+5)(x-1)=0	$x (x - 4) (x + 5) (x - 1) = 0$
197688	Solve for x	(4(x+1))/6=3x-4	$\frac{4 (x + 1)}{6} = 3 x - 4$
197689	Graph	x<-2 or x>3	$x < - 2$ or $x > 3$
197690	Solve the Absolute Value Inequality for a	(\|a-5\|)/8=5	$\frac{\| a - 5 \|}{8} = 5$
197691	Multiply	cube root of 4* cube root of 16	$\sqrt[3]{4} \cdot \sqrt[3]{16}$
197692	Solve for x	(-x)/(x-1)=(x-8)/3	$\frac{- x}{x - 1} = \frac{x - 8}{3}$
197693	Graph	2x=y^3	$2 x = y^{3}$
197694	Solve for x	2/(x-2)+1/(x+1)=1/(x^2-x-2)	$\frac{2}{x - 2} + \frac{1}{x + 1} = \frac{1}{x^{2} - x - 2}$
197695	Graph	f(x)=-2(x+4)	$f (x) = - 2 (x + 4)$
197696	Find the x and y Intercepts	(x^2-1)/(x^2+x)	$\frac{x^{2} - 1}{x^{2} + x}$
197697	Subtract	(4a+7b-12c)-(8a-9b+12d)	$(4 a + 7 b - 12 c) - (8 a - 9 b + 12 d)$
197698	Graph	y=1/2cos(2x-pi/2)	$y = \frac{1}{2} \cos (2 x - \frac{π}{2})$
197699	Graph	f(x)=x^4-x^3-21x^2+x+20	$f (x) = x^{4} - x^{3} - 21 x^{2} + x + 20$
197700	Solve for x	1/4-7/10=(x+9)/20	$\frac{1}{4} - \frac{7}{10} = \frac{x + 9}{20}$