Mathway | Popular Problems

Popular Problems

Rank	Topic	Problem	Formatted Problem
186701	Evaluate	2^x=8^3	$2^{x} = 8^{3}$
186702	Solve for x	(x+1)/x=3y+1	$\frac{x + 1}{x} = 3 y + 1$
186703	Find the Roots (Zeros)	15x^2-3x=5x^2-1	$15 x^{2} - 3 x = 5 x^{2} - 1$
186704	Solve for r	S(1-r)=a-b*r	$S (1 - r) = a - b \cdot r$
186705	Find the Third Term	a_n=((-1)^n)/(n^2)	$a_{n} = \frac{{(- 1)}^{n}}{n^{2}}$
186706	Simplify	q(2+3q)-q(5q-7)	$q (2 + 3 q) - q (5 q - 7)$
186707	Evaluate	-1^2+-1	$- 1^{2} + - 1$
186708	Evaluate	(2pi)/3+(2pi)/3	$\frac{2 π}{3} + \frac{2 π}{3}$
186709	Expand the Logarithmic Expression	log of (x^4)/( cube root of y^2z^2)	$\log (\frac{x^{4}}{\sqrt[3]{y^{2}} z^{2}})$
186710	Solve for x	4^x-2=0	$4^{x} - 2 = 0$
186711	Solve the Inequality for x	(x+6)(x-7)(x^2+4)>=0	$(x + 6) (x - 7) (x^{2} + 4) \geq 0$
186712	Simplify	(x-1/x)/(5/x+5/(x^2))	$\frac{x - \frac{1}{x}}{\frac{5}{x} + \frac{5}{x^{2}}}$
186713	Complete the Square	f(x)=x^2+x-30	$f (x) = x^{2} + x - 30$
186714	Graph	f(x)=e^x and g(x) = natural log of x	$f (x) = e^{x}$ and $g (x) = \ln (x)$
186715	Find the Holes in the Graph	(-2x+8)/(x^2-4x)	$\frac{- 2 x + 8}{x^{2} - 4 x}$
186716	Solve for x	3x-1=3(x+2)-x	$3 x - 1 = 3 (x + 2) - x$
186717	Divide	((x^2+x-6)/(x^2+5x+6))÷((x-6)/(x+2))	$\frac{x^{2} + x - 6}{x^{2} + 5 x + 6} \div \frac{x - 6}{x + 2}$
186718	Solve for x	x+2/6=1/2	$x + \frac{2}{6} = \frac{1}{2}$
186719	Graph	3x-2y<1 y>3	$3 x - 2 y < 1$ $y > 3$
186720	Solve for x	2x-x+4+2=8	$2 x - x + 4 + 2 = 8$
186721	Find the Domain and Range	y=tan(2x)	$y = \tan (2 x)$
186722	Solve for x	(7x+8)/2=9x+1	$\frac{7 x + 8}{2} = 9 x + 1$
186723	Write the Fraction in Simplest Form	-1/2(-5/6+1/3)	$- \frac{1}{2} (- \frac{5}{6} + \frac{1}{3})$
186724	Simplify	square root of -6* square root of -12	$\sqrt{- 6} \cdot \sqrt{- 12}$
186725	Graph	y=x+5 y=-2x-1	$y = x + 5$ $y = - 2 x - 1$
186726	Solve the Inequality for x	(x+2)(x-1)(x-3)<=0	$(x + 2) (x - 1) (x - 3) \leq 0$
186727	Solve Using the Quadratic Formula	(r^2+2)^2+(r^2+2)-6=0	${(r^{2} + 2)}^{2} + (r^{2} + 2) - 6 = 0$
186728	Factor	-13x^3+36x+x^5	$- 13 x^{3} + 36 x + x^{5}$
186729	Solve for q	2/7(14q+7/2)-3q=9	$\frac{2}{7} (14 q + \frac{7}{2}) - 3 q = 9$
186730	Convert to Interval Notation	x^2-2x-11<=0	$x^{2} - 2 x - 11 \leq 0$
186731	Solve for x	( square root of 5)( square root of 5)=x	$(\sqrt{5}) (\sqrt{5}) = x$
186732	Evaluate	e^1+1	$e^{1} + 1$
186733	Solve for x	x-1=(2-x)^2	$x - 1 = {(2 - x)}^{2}$
186734	Solve for x	30000=640(1.085)^(x+1)	$30000 = 640 {(1.085)}^{x + 1}$
186735	Graph Using a Table of Values	f(x)=4/(x+2)	$f (x) = \frac{4}{x + 2}$
186736	Solve the Inequality for a	-14a>=42	$- 14 a \geq 42$
186737	Solve for w	2/(3w-4)=5/(6w-7)	$\frac{2}{3 w - 4} = \frac{5}{6 w - 7}$
186738	Graph	g(x)=ax^2	$g (x) = a x^{2}$
186739	Solve for x	x^4=-1	$x^{4} = - 1$
186740	Subtract	Subtract -2x^2-4x from 2x^2-2x-5	Subtract $- 2 x^{2} - 4 x$ from $2 x^{2} - 2 x - 5$
186741	Find the Inverse	f(x) = fifth root of (x-2)/2	$f (x) = \sqrt[5]{\frac{x - 2}{2}}$
186742	Determine if True	(sin(x))/(1+cos(x))=(1-cos(x))/(sin(x))	$\frac{\sin (x)}{1 + \cos (x)} = \frac{1 - \cos (x)}{\sin (x)}$
186743	Find the Point-Slope Form	y=-2x+3	$y = - 2 x + 3$
186744	Solve for θ	2cos(theta)^2+cos(theta)-1=0	$2 \cos^{2} (θ) + \cos (θ) - 1 = 0$
186745	Simplify	(5x^5-55x^4+120x^3)/(x^5+7x^4-30x^3)*(x^2-100)/(x^2-18x+80)	$\frac{5 x^{5} - 55 x^{4} + 120 x^{3}}{x^{5} + 7 x^{4} - 30 x^{3}} \cdot \frac{x^{2} - 100}{x^{2} - 18 x + 80}$
186746	Solve for x	(6x+4)/4=7	$\frac{6 x + 4}{4} = 7$
186747	Factor	(x+a)^2+5(x+a)+4	${(x + a)}^{2} + 5 (x + a) + 4$
186748	Simplify	cube root of 27x^4y^5z^3	$\sqrt[3]{27 x^{4} \cdot y^{5} \cdot z^{3}}$
186749	Evaluate	(25-(13+4)+4)÷3	$(25 - (13 + 4) + 4) \div 3$
186750	Graph	Graph y=5/3x-9	Graph $y = \frac{5}{3} x - 9$
186751	Simplify	1/(x square root of x)	$\frac{1}{x \sqrt{x}}$
186752	Find the Product	(4+3i)(4-3i)	$(4 + 3 i) (4 - 3 i)$
186753	Evaluate	(x+2)-2	$(x + 2) - 2$
186754	Find the Domain and Range	(x^2-1)/(x+1)	$\frac{x^{2} - 1}{x + 1}$
186755	Simplify	((8x^(1/4))/(y^9))^(2/3)	${(\frac{8 x^{\frac{1}{4}}}{y^{9}})}^{\frac{2}{3}}$
186756	Factor	m^2-6m+6m-36	$m^{2} - 6 m + 6 m - 36$
186757	Factor	9a^2b^4-16b^2c^2	$9 a^{2} b^{4} - 16 b^{2} c^{2}$
186758	Simplify	(10(x+2)(x-3))/(5(x-3)(x+6))	$\frac{10 (x + 2) (x - 3)}{5 (x - 3) (x + 6)}$
186759	Solve for x	4+6(2+x)=2(3x+8)	$4 + 6 (2 + x) = 2 (3 x + 8)$
186760	Solve the Inequality for x	1/(3x-2)<=4	$\frac{1}{3 x - 2} \leq 4$
186761	Solve for k	28k+11k-27k-3k=36	$28 k + 11 k - 27 k - 3 k = 36$
186762	Graph	5(x+8)-7<=23	$5 (x + 8) - 7 \leq 23$
186763	Graph Using a Table of Values	f(x)=a^x	$f (x) = a^{x}$
186764	Simplify	(2+i)/(5+6i)	$\frac{2 + i}{5 + 6 i}$
186765	Solve the Inequality for x	(x+5)(x^2+4)(x-6)<=0	$(x + 5) (x^{2} + 4) (x - 6) \leq 0$
186766	Solve for x	-3x(16x^2-25)(x^2-13)=0	$- 3 x (16 x^{2} - 25) (x^{2} - 13) = 0$
186767	Solve the Inequality for x	log base 4 of x<3	$\log_{4} (x) < 3$
186768	Find the Distance Between Two Points	(6,5) and (-3,-7)	$(6, 5)$ and $(- 3, - 7)$
186769	Find the Holes in the Graph	(4x+16)/(x^2+x-12)	$\frac{4 x + 16}{x^{2} + x - 12}$
186770	Evaluate	log base 12 of (x^4 square root of x^3-2)/((x+1)^5)	$\log_{12} (\frac{x^{4} \sqrt{x^{3} - 2}}{{(x + 1)}^{5}})$
186771	Factor	-x^5-9x+10x^3	$- x^{5} - 9 x + 10 x^{3}$
186772	Solve for x	4x+x/(x+1)=-1/(x+1)	$4 x + \frac{x}{x + 1} = - \frac{1}{x + 1}$
186773	Solve for θ	sin(theta)^2-1=0	$\sin^{2} (θ) - 1 = 0$
186774	Simplify the Radical Expression	square root of (224x^9)/(36y^10)	$\sqrt{\frac{224 x^{9}}{36 y^{10}}}$
186775	Solve for x	(7-7x)/2=3x-8	$\frac{7 - 7 x}{2} = 3 x - 8$
186776	Simplify	(-4y^3+y^2-y-3)-(-2y^3-3y+3)	$(- 4 y^{3} + y^{2} - y - 3) - (- 2 y^{3} - 3 y + 3)$
186777	Solve for y	y=(1/3)^0	$y = {(\frac{1}{3})}^{0}$
186778	Graph	F(x)=(x-2)/((x+1)(x-3))	$F (x) = \frac{x - 2}{(x + 1) (x - 3)}$
186779	Simplify	(a-x)(x+a)	$(a - x) (x + a)$
186780	Solve the Inequality for x	-5<(x-4)/2<=1	$- 5 < \frac{x - 4}{2} \leq 1$
186781	Solve the Inequality for h	-9h>(-63)	$- 9 h > (- 63)$
186782	Graph	y>1/4\|x+1\|+1	$y > \frac{1}{4} \| x + 1 \| + 1$
186783	Find the Domain and Range	y=-\|x\|-3	$y = - \| x \| - 3$
186784	Solve for x	x/3+x/a=1	$\frac{x}{3} + \frac{x}{a} = 1$
186785	Find the x and y Intercepts	f(x)=-2(x-3)(x^2+3)	$f (x) = - 2 (x - 3) (x^{2} + 3)$
186786	Solve for y	2*10^(5-y)+9=87	$2 \cdot 10^{5 - y} + 9 = 87$
186787	Solve the Inequality for x	\|2x-1\|>3	$\| 2 x - 1 \| > 3$
186788	Simplify	(4 square root of 15)/(2 square root of 6)	$\frac{4 \sqrt{15}}{2 \sqrt{6}}$
186789	Graph Using a Table of Values	f(x) = square root of x+5	$f (x) = \sqrt{x + 5}$
186790	Simplify	7/6(30-18)	$\frac{7}{6} (30 - 18)$
186791	Find All Complex Solutions	2sin(2x)-1=0	$2 \sin (2 x) - 1 = 0$
186792	Solve for a	x^5 fourth root of x=x^a	$x^{5} \sqrt[4]{x} = x^{a}$
186793	Solve for x	1 1/2x=9 9/20	$1 \frac{1}{2} x = 9 \frac{9}{20}$
186794	Simplify	(25x^2)/(2x+6)*2/(5x)	$\frac{25 x^{2}}{2 x + 6} \cdot \frac{2}{5 x}$
186795	Rationalize the Denominator	1/( cube root of 4x)	$\frac{1}{\sqrt[3]{4 x}}$
186796	Evaluate	f(x)=5^(2(-1))	$f (x) = 5^{2 (- 1)}$
186797	Solve Using the Quadratic Formula	18=6x+x(x-13)	$18 = 6 x + x (x - 13)$
186798	Simplify	16-(1-5x)-4x-29	$16 - (1 - 5 x) - 4 x - 29$
186799	Simplify	-6/-5	$\frac{- 6}{- 5}$
186800	Simplify	-7x^2 square root of 40x^3-8 square root of 40x^7	$- 7 x^{2} \sqrt{40 x^{3}} - 8 \sqrt{40 x^{7}}$