Mathway | Popular Problems

Popular Problems

Rank	Topic	Problem	Formatted Problem
168701	Convert to Polar	y=3x^2	$y = 3 x^{2}$
168702	Solve for x	1/(x(x-3))=2/(x-3)+3/x	$\frac{1}{x (x - 3)} = \frac{2}{x - 3} + \frac{3}{x}$
168703	Solve the Absolute Value Inequality for n	\|-2n+6\|=6	$\| - 2 n + 6 \| = 6$
168704	Solve the System of Equations	4x+y=2 x-y=3	$4 x + y = 2$ $x - y = 3$
168705	Solve the Inequality for x	6x^2-x<2	$6 x^{2} - x < 2$
168706	Simplify	(-4a^3b^2)^2*(3a^2b)	${(- 4 a^{3} b^{2})}^{2} \cdot (3 a^{2} b)$
168707	Graph	y+2=1/5(x-1)	$y + 2 = \frac{1}{5} (x - 1)$
168708	Find the Perfect Square Trinomial	x^2-25	$x^{2} - 25$
168709	Graph	y>=1/2x-2 y<-2x+4	$y \geq \frac{1}{2} x - 2$ $y < - 2 x + 4$
168710	Find the x and y Intercepts	h(x)=2(3^x)-18	$h (x) = 2 (3^{x}) - 18$
168711	Solve for x	12x+4+2x=39	$12 x + 4 + 2 x = 39$
168712	Solve Using the Square Root Property	x^2=(-1)^2	$x^{2} = {(- 1)}^{2}$
168713	Solve by Completing the Square	x^2-4x+4=2x	$x^{2} - 4 x + 4 = 2 x$
168714	Find the First Term	a_n=n^2+2	$a_{n} = n^{2} + 2$
168715	Factor	9x^2-20-x^4	$9 x^{2} - 20 - x^{4}$
168716	Solve the Inequality for k	7<-(-k-3)+2	$7 < - (- k - 3) + 2$
168717	Divide	((a-4)/(a^2-2a-8))÷(1/(a-5))	$\frac{a - 4}{a^{2} - 2 a - 8} \div \frac{1}{a - 5}$
168718	Simplify	(x^2-25)/(2x^2-7x-15)	$\frac{x^{2} - 25}{2 x^{2} - 7 x - 15}$
168719	Solve for x	15x+(-6x+5)-2-(-x+3)=-(7x+23)-x+(3-2x)	$15 x + (- 6 x + 5) - 2 - (- x + 3) = - (7 x + 23) - x + (3 - 2 x)$
168720	Solve for x	-(5x)/(x-3)+7=7/(x-3)	$- \frac{5 x}{x - 3} + 7 = \frac{7}{x - 3}$
168721	Divide	1/21/4	$\frac{1}{2} \cdot \frac{1}{4}$
168722	Simplify	(x^2+x-3)*(x^2-4)	$(x^{2} + x - 3) \cdot (x^{2} - 4)$
168723	Simplify	5 square root of -2(4+ square root of -10)	$5 \sqrt{- 2} (4 + \sqrt{- 10})$
168724	Find the Domain and Range	f(x)=- square root of -x	$f (x) = - \sqrt{- x}$
168725	Evaluate	tan(theta)=-1	$\tan (θ) = - 1$
168726	Solve for b	2/5b-1/2=-6/7	$\frac{2}{5} b - \frac{1}{2} = - \frac{6}{7}$
168727	Simplify	(3x^3y^2)(-6y^5)	$(3 x^{3} y^{2}) (- 6 y^{5})$
168728	Simplify	(7ty)(3t)	$(7 t y) (3 t)$
168729	Find the Sum and Product of the Roots of the Quadratic Equation	x^2+x-6=0	$x^{2} + x - 6 = 0$
168730	Factor	-18y^3z+48x^4y^4z^4	$- 18 y^{3} z + 48 x^{4} y^{4} z^{4}$
168731	Solve for t	5/4t=1/2t-3+2/3t	$\frac{5}{4} t = \frac{1}{2} t - 3 + \frac{2}{3} t$
168732	Solve for y	\|(y+9)/4\|=5	$\| \frac{y + 9}{4} \| = 5$
168733	Find the Vertex Form	y=x^2+x-2	$y = x^{2} + x - 2$
168734	Solve for x	15(x+1)-7(x+9)=4x	$15 (x + 1) - 7 (x + 9) = 4 x$
168735	Solve for z	3/8z-4=1/2+3/4z	$\frac{3}{8} z - 4 = \frac{1}{2} + \frac{3}{4} z$
168736	Combine Like Terms	-7y^2+6x^3+3y^2-4x^3-6-2-2	$- 7 y^{2} + 6 x^{3} + 3 y^{2} - 4 x^{3} - 6 - 2 - 2$
168737	Simplify	x<-3+4	$x < - 3 + 4$
168738	Solve for m	(2m-n)/5=7n	$\frac{2 m - n}{5} = 7 n$
168739	Solve for h	1/3h-4(2/3h-3)=2/3h-6	$\frac{1}{3} h - 4 (\frac{2}{3} h - 3) = \frac{2}{3} h - 6$
168740	Solve the Inequality for x	5-9(8-2x)<=2x-115	$5 - 9 (8 - 2 x) \leq 2 x - 115$
168741	Graph	4x-5>=7	$4 x - 5 \geq 7$
168742	Solve the Absolute Value Inequality for x	\|x\|<=2	$\| x \| \leq 2$
168743	Factor	36x^4y^7z-38y^3z^4	$36 x^{4} y^{7} z - 38 y^{3} z^{4}$
168744	Solve the Inequality for x	x^2>36	$x^{2} > 36$
168745	Solve the System of Equations	2x+7y=1 y=4x-8	$2 x + 7 y = 1$ $y = 4 x - 8$
168746	Simplify	((-6rs^-3)/(15r^7s^-3))^2	${(\frac{- 6 r s^{- 3}}{15 r^{7} s^{- 3}})}^{2}$
168747	Solve for w	-3/2w-3=1/2w+2-3/4w+5/4	$- \frac{3}{2} w - 3 = \frac{1}{2} w + 2 - \frac{3}{4} w + \frac{5}{4}$
168748	Solve for b	1/3-3/2b+3/4=-5/6b	$\frac{1}{3} - \frac{3}{2} b + \frac{3}{4} = - \frac{5}{6} b$
168749	Find the x and y Intercepts	f(x)=(-5x-10)/(x^2-4)	$f (x) = \frac{- 5 x - 10}{x^{2} - 4}$
168750	Solve the Inequality for n	77<=5+8n	$77 \leq 5 + 8 n$
168751	Solve for y	6x+7y=4x+4y	$6 x + 7 y = 4 x + 4 y$
168752	Solve for y	4y-7+2y=-3(y-1)-1	$4 y - 7 + 2 y = - 3 (y - 1) - 1$
168753	Evaluate	3^(1/2-1)	$3^{\frac{1}{2} - 1}$
168754	Solve the Inequality for n	-5n<=15	$- 5 n \leq 15$
168755	Graph	3y=-5^x+7	$3 y = - 5^{x} + 7$
168756	Solve for x	square root of x+3=3x-1	$\sqrt{x + 3} = 3 x - 1$
168757	Solve for x	1/2(6x-4)=3(x-2)	$\frac{1}{2} (6 x - 4) = 3 (x - 2)$
168758	Simplify	square root of 18a^2*4 square root of 3a^2	$\sqrt{18 a^{2}} \cdot 4 \sqrt{3 a^{2}}$
168759	Solve for x	-2(x+3)=x+6	$- 2 (x + 3) = x + 6$
168760	Simplify	((2t)^2)/(3t^8)	$\frac{{(2 t)}^{2}}{3 t^{8}}$
168761	Simplify	(10q^5w^7)/(2w^3)*(4(q^6)^2)/(w^-5)	$\frac{10 q^{5} w^{7}}{2 w^{3}} \cdot \frac{4 {(q^{6})}^{2}}{w^{- 5}}$
168762	Solve for x	2x+3(x+5)=5(x-3)	$2 x + 3 (x + 5) = 5 (x - 3)$
168763	Solve the Inequality for x	x^2-4nx+4m>0	$x^{2} - 4 n x + 4 m > 0$
168764	Simplify	(5r^-1)/(4(r^-1)^2)	$\frac{5 r^{- 1}}{4 {(r^{- 1})}^{2}}$
168765	Simplify	x^3 square root of x^7	$x^{3} \sqrt{x^{7}}$
168766	Multiply	(-p^2+4p-3)(p^2+2)	$(- p^{2} + 4 p - 3) (p^{2} + 2)$
168767	Convert to a Decimal	-7 3/8	$- 7 \frac{3}{8}$
168768	Divide	(4/(n-6))÷((4n)/(8n-48))	$\frac{4}{n - 6} \div \frac{4 n}{8 n - 48}$
168769	Factor	6ax+3a^2-4bx-2ab	$6 a x + 3 a^{2} - 4 b x - 2 a b$
168770	Graph	y>1/3x+5 y<1/3x-1	$y > \frac{1}{3} x + 5$ $y < \frac{1}{3} x - 1$
168771	Write as a Single Logarithm	3 log base b of 2- log base b of 8	$3 \log_{b} (2) - \log_{b} (8)$
168772	Simplify	(3^-3)÷(3^4)	$3^{- 3} \div 3^{4}$
168773	Simplify	(n^2+11n+28)/(n^2+14n+40)*(n^2-100)/(8n+56)	$\frac{n^{2} + 11 n + 28}{n^{2} + 14 n + 40} \cdot \frac{n^{2} - 100}{8 n + 56}$
168774	Solve the Inequality for x	5x-20>=0	$5 x - 20 \geq 0$
168775	Evaluate	log of 2+ log of 4	$\log (2) + \log (4)$
168776	Solve for x	-5(x-3)-2x=46-4(x+1)	$- 5 (x - 3) - 2 x = 46 - 4 (x + 1)$
168777	Solve the Inequality for x	x^2+3x>4	$x^{2} + 3 x > 4$
168778	Solve the Inequality for x	-3x-7>x/2	$- 3 x - 7 > \frac{x}{2}$
168779	Graph	y=x^(-1/2)	$y = x^{- \frac{1}{2}}$
168780	Simplify	5 square root of 3*5 square root of 3	$5 \sqrt{3} \cdot 5 \sqrt{3}$
168781	Graph	-4<x<=2	$- 4 < x \leq 2$
168782	Write in Standard Form	7x^2-6x-11=3x^2	$7 x^{2} - 6 x - 11 = 3 x^{2}$
168783	Simplify	(x^2+x-12)+(x^2-8x+16)	$(x^{2} + x - 12) + (x^{2} - 8 x + 16)$
168784	Factor	a^2m^4n^6-144	$a^{2} m^{4} n^{6} - 144$
168785	Simplify	((x^2+8x+16)/(x+2))÷((x^2+6x+8)/(x^2-4))	$\frac{x^{2} + 8 x + 16}{x + 2} \div \frac{x^{2} + 6 x + 8}{x^{2} - 4}$
168786	Find All Complex Solutions	x^2-5x=0	$x^{2} - 5 x = 0$
168787	Simplify	(4^5*4^10)/(4^6)	$\frac{4^{5} \cdot 4^{10}}{4^{6}}$
168788	Subtract	(-2x^3y^2+4x^2y^3-3xy^4)-(6x^4y-5x^2y^3-y^5)	$(- 2 x^{3} y^{2} + 4 x^{2} y^{3} - 3 x y^{4}) - (6 x^{4} y - 5 x^{2} y^{3} - y^{5})$
168789	Combine Like Terms	-2+6y^3-2y^3+7-7+6x^2-2x^2	$- 2 + 6 y^{3} - 2 y^{3} + 7 - 7 + 6 x^{2} - 2 x^{2}$
168790	Solve for n	1/2(n-4)-3=3-(2n+3) ?	$\frac{1}{2} (n - 4) - 3 = 3 - (2 n + 3)$ ?
168791	Solve for x	1=x^2	$1 = x^{2}$
168792	Graph	y<-3x-2 y>-3x+8	$y < - 3 x - 2$ $y > - 3 x + 8$
168793	Solve for z	1/2-5/9z=-5/6	$\frac{1}{2} - \frac{5}{9} z = - \frac{5}{6}$
168794	Graph	x^2=-1/3y	$x^{2} = - \frac{1}{3} y$
168795	Simplify	(4-3i)(i)	$(4 - 3 i) (i)$
168796	Simplify	(-1/2)^-3	${(- \frac{1}{2})}^{- 3}$
168797	Simplify	(5+2i)/(4i)	$\frac{5 + 2 i}{4 i}$
168798	Write as a Single Logarithm	log base b of 8-3 log base b of 2	$\log_{b} (8) - 3 \log_{b} (2)$
168799	Graph	y=-1/2(x-1)^2+3	$y = - \frac{1}{2} {(x - 1)}^{2} + 3$
168800	Evaluate	(8!)/((8-8)!)	$\frac{8!}{(8 - 8)!}$