Mathway | Popular Problems

Popular Problems

Rank	Topic	Problem	Formatted Problem
172701	Convert to Polar	2x+3y=6	$2 x + 3 y = 6$
172702	Solve the System of Equations	2y=5x+4 y=3x+2	$2 y = 5 x + 4$ $y = 3 x + 2$
172703	Simplify	1/3 square root of 3	$\frac{1}{3} \sqrt{3}$
172704	Graph Using a Table of Values	f(x)=(2x-3)/(-x+2)	$f (x) = \frac{2 x - 3}{- x + 2}$
172705	Simplify	-14cd-2c^2d^2+15cd+8c^2d^2+15cd	$- 14 c d - 2 c^{2} d^{2} + 15 c d + 8 c^{2} d^{2} + 15 c d$
172706	Solve for x	8(x-a)=2(2a-x)	$8 (x - a) = 2 (2 a - x)$
172707	Solve the Inequality for x	(x-3)/(x+2)<0	$\frac{x - 3}{x + 2} < 0$
172708	Graph	g(x)=f(x)	$g (x) = f (x)$
172709	Solve for x	x-(5x-1)/3=4x-3/5	$x - \frac{5 x - 1}{3} = 4 x - \frac{3}{5}$
172710	Graph	r=5/( square root of theta)	$r = \frac{5}{\sqrt{θ}}$
172711	Solve for r	3-1/2\|r+9\|=-11	$3 - \frac{1}{2} \| r + 9 \| = - 11$
172712	Solve for S	S+26=-31	$S + 26 = - 31$
172713	Solve for x	(5x)/(x-1)<4	$\frac{5 x}{x - 1} < 4$
172714	Solve for x	2-x=3- square root of 7-3x	$2 - x = 3 - \sqrt{7 - 3 x}$
172715	Divide	x^3+x^2-5x-2 by x-2	$x^{3} + x^{2} - 5 x - 2$ by $x - 2$
172716	Solve for n	13n-6p-11n=2p for n	$13 n - 6 p - 11 n = 2 p$ for $n$
172717	Solve the Inequality for x	((x-7)^2)/(x^2-36)>=0	$\frac{{(x - 7)}^{2}}{x^{2} - 36} \geq 0$
172718	Write in Standard Form	x^2+1	$x^{2} + 1$
172719	Solve for x	-19=2/10x-9	$- 19 = \frac{2}{10} x - 9$
172720	Simplify	(((a+3)^2)/(a-3))÷(5/(a^2-9))	$\frac{{(a + 3)}^{2}}{a - 3} \div \frac{5}{(a^{2} - 9)}$
172721	Simplify	(15r^6c^-8)/((3r^-3c)^-5)	$\frac{15 r^{6} c^{- 8}}{{(3 r^{- 3} c)}^{- 5}}$
172722	Solve for x	y=z/x	$y = \frac{z}{x}$
172723	Solve the Inequality for h	-1/3h>=8	$- \frac{1}{3} h \geq 8$
172724	Solve for m	(\|6-2m\|)/-4-7=-19	$\frac{\| 6 - 2 m \|}{- 4} - 7 = - 19$
172725	Solve the Inequality for w	3w>=-27	$3 w \geq - 27$
172726	Solve the Inequality for x	2(7x-3)<=12x+16	$2 (7 x - 3) \leq 12 x + 16$
172727	Evaluate	1-pi/2	$1 - \frac{π}{2}$
172728	Solve for x	natural log of x^2-5x- natural log of x^2-25=3	$\ln (x^{2} - 5 x) - \ln (x^{2} - 25) = 3$
172729	Solve for x	4-2(x-5)=x-19	$4 - 2 (x - 5) = x - 19$
172730	Solve for x	4=-6x-1/2	$4 = - 6 x - \frac{1}{2}$
172731	Factor	x^9+8x^3	$x^{9} + 8 x^{3}$
172732	Find the LCM	4 and 7	$4$ and $7$
172733	Solve the Inequality for x	-14>-7x	$- 14 > - 7 x$
172734	Find All Complex Solutions	4x+2i=8+yi	$4 x + 2 i = 8 + y i$
172735	Solve by Substitution	y=4x y=-6x-30	$y = 4 x$ $y = - 6 x - 30$
172736	Simplify	3x^2y square root of 180x^4y^3	$3 x^{2} y \sqrt{180 x^{4} y^{3}}$
172737	Graph	x = square root of 4-y^2	$x = \sqrt{4 - y^{2}}$
172738	Simplify	((2x^3)*(x^4)^2)/(8x^11)	$\frac{(2 x^{3}) \cdot {(x^{4})}^{2}}{8 x^{11}}$
172739	Find the Roots (Zeros)	9(2x-1)^2-8=0	$9 {(2 x - 1)}^{2} - 8 = 0$
172740	Graph	1/4<p	$\frac{1}{4} < p$
172741	Write in Standard Form	y=(x+1)(x-3)	$y = (x + 1) (x - 3)$
172742	Solve for m	-2/3(m-6)=2(m+1)	$- \frac{2}{3} (m - 6) = 2 (m + 1)$
172743	Evaluate	cos(theta)=-( square root of 2)/2	$\cos (θ) = - \frac{\sqrt{2}}{2}$
172744	Expand the Logarithmic Expression	log of 3y(5y+8)	$\log (3 y (5 y + 8))$
172745	Simplify	4/(x^3)-(2x-1)/(3x)	$\frac{4}{x^{3}} - \frac{2 x - 1}{3 x}$
172746	Find the Equation with a Point and Slope	-3/4 , (-8,-4)	$- \frac{3}{4}$ , $(- 8, - 4)$
172747	Solve the Inequality for x	\|x+1\|<=12	$\| x + 1 \| \leq 12$
172748	Write the Fraction in Simplest Form	1/3+1/4	$\frac{1}{3} + \frac{1}{4}$
172749	Find the Excluded Values	1/(x-6)	$\frac{1}{x - 6}$
172750	Multiply	3 square root of 2(5 square root of 6-7 square root of 3)	$3 \sqrt{2} (5 \sqrt{6} - 7 \sqrt{3})$
172751	Solve for y	1/3x+2y=8	$\frac{1}{3} x + 2 y = 8$
172752	Simplify	square root of 144+ square root of -5- square root of 1+ square root of -45	$\sqrt{144} + \sqrt{- 5} - \sqrt{1} + \sqrt{- 45}$
172753	Simplify	( fourth root of 16)^3	${(\sqrt[4]{16})}^{3}$
172754	Simplify	((x^5y^3)(x^9y^7))/(x^8y^4)	$\frac{(x^{5} y^{3}) (x^{9} y^{7})}{x^{8} y^{4}}$
172755	Simplify	((3k^5)^-2)/(5s^-5k^-5)	$\frac{{(3 k^{5})}^{- 2}}{5 s^{- 5} k^{- 5}}$
172756	Solve for x	3tan(x)=- square root of 3	$3 \tan (x) = - \sqrt{3}$
172757	Solve for z	(8z+4)/-4=-9	$\frac{8 z + 4}{- 4} = - 9$
172758	Simplify	2/3+(3x+4y)/(3y)	$\frac{2}{3} + \frac{3 x + 4 y}{3 y}$
172759	Solve for x	log base 2 of 5x+4 log base 2 of 3=5	$\log_{2} (5 x) + 4 \log_{2} (3) = 5$
172760	Solve the System of Inequalities	-8x+44>=60 AND -4x+50<58	$- 8 x + 44 \geq 60$ AND $- 4 x + 50 < 58$
172761	Graph	2x+y<=4 y-1<=0	$2 x + y \leq 4$ $y - 1 \leq 0$
172762	Find the Holes in the Graph	f(x)=(x-1)/(2x^2-22x+20)	$f (x) = \frac{x - 1}{2 x^{2} - 22 x + 20}$
172763	Solve for c	-12c-4+7.5c-11=-6	$- 12 c - 4 + 7.5 c - 11 = - 6$
172764	Simplify	12÷43+18÷93-4*3	$12 \div 4 \times 3 + 18 \div 9 \times 3 - 4 \times 3$
172765	Graph	y=1/2sin(x-pi/3)	$y = \frac{1}{2} \sin (x - \frac{π}{3})$
172766	Find the Slope and y-intercept	(8x)/5-2y=-8	$\frac{8 x}{5} - 2 y = - 8$
172767	Solve the Inequality for x	1/2(x+2)+3y<8	$\frac{1}{2} (x + 2) + 3 y < 8$
172768	Solve for t	S(r+t)=rt	$S (r + t) = r t$
172769	Simplify	1/3*2	$\frac{1}{3} \cdot 2$
172770	Evaluate	(-1^2)	$(- 1^{2})$
172771	Solve the Inequality for a	3a+7b>2a-8b	$3 a + 7 b > 2 a - 8 b$
172772	Simplify	( square root of 5+ square root of 3)/( square root of 5- square root of 3)+( square root of 5- square root of 3)/( square root of 5+ square root of 3)	$\frac{\sqrt{5} + \sqrt{3}}{\sqrt{5} - \sqrt{3}} + \frac{\sqrt{5} - \sqrt{3}}{\sqrt{5} + \sqrt{3}}$
172773	Solve for y	(y^2)/4+100=201/2	$\frac{y^{2}}{4} + 100 = \frac{201}{2}$
172774	Solve for h	A=1/2h(a+b) for h	$A = \frac{1}{2} h (a + b)$ for $h$
172775	Divide	-2÷(-3 4/5)	$- 2 \div (- 3 \frac{4}{5})$
172776	Find the Exact Value	cos(105 degrees )^2-sin(105 degrees )^2	$\cos^{2} (105 °) - \sin^{2} (105 °)$
172777	Solve for x	9x+9=11x-2x+9	$9 x + 9 = 11 x - 2 x + 9$
172778	Find the Standard Form of the Parabola	2y^2-x-12y+18=0	$2 y^{2} - x - 12 y + 18 = 0$
172779	Solve for t	h(t)=-20+11t	$h (t) = - 20 + 11 t$
172780	Convert to a Decimal	80deg	$80$ degrees
172781	Simplify	(3z^11+3z^5)/(z^12+4z^6+3)	$\frac{3 z^{11} + 3 z^{5}}{z^{12} + 4 z^{6} + 3}$
172782	Solve for x	(2x-3)/(x+1)=(x+6)/(x-2)	$\frac{2 x - 3}{x + 1} = \frac{x + 6}{x - 2}$
172783	Graph	f(x)=1/4(1/2)^x	$f (x) = \frac{1}{4} {(\frac{1}{2})}^{x}$
172784	Solve for x	A=x+y+z	$A = x + y + z$
172785	Evaluate	(-x)/((-x)^2+1)	$\frac{- x}{{(- x)}^{2} + 1}$
172786	Simplify	(3(p^4w^5)^-2)/(3p^7)	$\frac{3 {(p^{4} w^{5})}^{- 2}}{3 p^{7}}$
172787	Solve for a	2a-8a=12-8a	$2 a - 8 a = 12 - 8 a$
172788	Simplify	(5x)/(2y)(2x)/(5y)(3x)/2	$\frac{5 x}{2 y} \cdot \frac{2 x}{5 y} \cdot \frac{3 x}{2}$
172789	Simplify	(z^(-4/3))^(-6/5)	${(z^{- \frac{4}{3}})}^{- \frac{6}{5}}$
172790	Solve Using the Quadratic Formula	x^3-27	$x^{3} - 27$
172791	Convert to Radical Form	(160*243)^(1/5)	${(160 \cdot 243)}^{\frac{1}{5}}$
172792	Graph	x>-1/2	$x > - \frac{1}{2}$
172793	Simplify	( square root of -5+2 square root of 20)(- square root of -5)	$(\sqrt{- 5} + 2 \sqrt{20}) (- \sqrt{- 5})$
172794	Solve for x	16^(-x)=1/64	$16^{- x} = \frac{1}{64}$
172795	Evaluate	(\|x^2\|)/(x^2)	$\frac{\| x^{2} \|}{x^{2}}$
172796	Solve Using the Quadratic Formula	(x+2)^2+(x-1)^2=0	${(x + 2)}^{2} + {(x - 1)}^{2} = 0$
172797	Solve for x	log base 4 of 2x+5< = log base 4 of 4x-3	$\log_{4} (2 x + 5) \leq \log_{4} (4 x - 3)$
172798	Solve the Inequality for x	x^2+x>6	$x^{2} + x > 6$
172799	Solve the Inequality for x	(x-2)/(x+3)>=0	$\frac{x - 2}{x + 3} \geq 0$
172800	Simplify	(8x-7)+(-2x-9)-(4x-3)	$(8 x - 7) + (- 2 x - 9) - (4 x - 3)$