Mathway | Popular Problems

Popular Problems

Rank	Topic	Problem	Formatted Problem
231701	Evaluate	500*e^(-0.25(10))	$500 \cdot e^{- 0.25 (10)}$
231702	Solve the Inequality for x	x^3-27x<0	$x^{3} - 27 x < 0$
231703	Solve for y	x=cos(y)	$x = \cos (y)$
231704	Solve for x	x*7/3=1	$x \cdot \frac{7}{3} = 1$
231705	Evaluate	log base 2 of x^2 = log base 2 of 4x-4	$\log_{2} (x^{2}) = \log_{2} (4 x - 4)$
231706	Solve for x	cube root of 4x+7 = cube root of x+1	$\sqrt[3]{4 x + 7} = \sqrt[3]{x + 1}$
231707	Simplify	(6x^3y)(2xz^2)	$(6 x^{3} y) (2 x z^{2})$
231708	Evaluate	1/(c-3)-1/c=3/(c(c-3))	$\frac{1}{c - 3} - \frac{1}{c} = \frac{3}{c (c - 3)}$
231709	Solve for r	6r=16+8r	$6 r = 16 + 8 r$
231710	Solve by Substitution	3(t^2-16)^2+19(t^2-16)=-6	$3 {(t^{2} - 16)}^{2} + 19 (t^{2} - 16) = - 6$
231711	Solve for y	3y+7-y=5+2y+2	$3 y + 7 - y = 5 + 2 y + 2$
231712	Subtract	3/4-5 1/2	$\frac{3}{4} - 5 \frac{1}{2}$
231713	Divide	((x^2+2x+1)/(x^2-3x-18))÷((x^2-1)/(x^2-7x+6))	$\frac{x^{2} + 2 x + 1}{x^{2} - 3 x - 18} \div \frac{x^{2} - 1}{x^{2} - 7 x + 6}$
231714	Convert to Interval Notation	-2x+3>x-5	$- 2 x + 3 > x - 5$
231715	Multiply	(3x-y)(6x^2+5xy-7y^2)	$(3 x - y) (6 x^{2} + 5 x y - 7 y^{2})$
231716	Simplify the Radical Expression	-4 square root of 15*(- square root of 3)	$- 4 \sqrt{15} \cdot (- \sqrt{3})$
231717	Find the Roots (Zeros)	(-x-2)(-2x-3)	$(- x - 2) (- 2 x - 3)$
231718	Solve for x	-3+12x=12x-3	$- 3 + 12 x = 12 x - 3$
231719	Evaluate	-3/8+1/4(-4/7)	$- \frac{3}{8} + \frac{1}{4} (- \frac{4}{7})$
231720	Simplify	3/(x+1)+4/(2x-6)-(x^2-5)/(x^2-2x-3)	$\frac{3}{x + 1} + \frac{4}{2 x - 6} - \frac{x^{2} - 5}{x^{2} - 2 x - 3}$
231721	Solve for x	square root of 9-8x=-x	$\sqrt{9 - 8 x} = - x$
231722	Solve the Inequality for m	m/3<=5	$\frac{m}{3} \leq 5$
231723	Evaluate	1.5/(pi/4)	$\frac{1.5}{\frac{π}{4}}$
231724	Solve for x	(x-1)-(2x-1)=9-x	$(x - 1) - (2 x - 1) = 9 - x$
231725	Solve for x	-2\|3-3x\|-2>=-14	$- 2 \| 3 - 3 x \| - 2 \geq - 14$
231726	Solve for x	x/(x+5)=(x-2)/(x+1)	$\frac{x}{x + 5} = \frac{x - 2}{x + 1}$
231727	Multiply	square root of 24b^3* square root of 40b^2* square root of b^2	$\sqrt{24 b^{3}} \cdot \sqrt{40 b^{2}} \cdot \sqrt{b^{2}}$
231728	Simplify	( natural log of e)/pi	$\frac{\ln (e)}{π}$
231729	Find the Inverse	f(x)=3( cube root of x-1)+10	$f (x) = 3 (\sqrt[3]{x} - 1) + 10$
231730	Simplify the Radical Expression	square root of s^7 fifth root of s^7	$\sqrt{s^{7}} \sqrt[5]{s^{7}}$
231731	Solve for x	(1/4)^(3-2x)=8^(-x)	${(\frac{1}{4})}^{3 - 2 x} = 8^{- x}$
231732	Find the Product	2 square root of a(3 square root of ab-5 square root of ab)	$2 \sqrt{a} (3 \sqrt{a b} - 5 \sqrt{a b})$
231733	Simplify the Radical Expression	4 cube root of 192x^3+ cube root of 81x^3	$4 \sqrt[3]{192 x^{3}} + \sqrt[3]{81 x^{3}}$
231734	Solve for x	x/( square root of 3)=d-x	$\frac{x}{\sqrt{3}} = d - x$
231735	Evaluate	2sin(10 degrees )cos(10 degrees )	$2 \sin (10 °) \cos (10 °)$
231736	Find the LCD	1/(11x) and (6x)/(x+11)	$\frac{1}{11 x}$ and $\frac{6 x}{x + 11}$
231737	Simplify the Radical Expression	x^2y^2 square root of 63x^2y^6	$x^{2} y^{2} \sqrt{63 x^{2} y^{6}}$
231738	Graph	x+10y<=80 x>=30 y<=4	$x + 10 y \leq 80$ $x \geq 30$ $y \leq 4$
231739	Divide	( square root of 2)/(2 square root of 3)	$\frac{\sqrt{2}}{2 \sqrt{3}}$
231740	Find All Complex Solutions	x-6 = square root of x	$x - 6 = \sqrt{x}$
231741	Solve for b	3b+7=12+2b	$3 b + 7 = 12 + 2 b$
231742	Factor	x^2(x+2)+3x(x+2)-70(x+2)	$x^{2} (x + 2) + 3 x (x + 2) - 70 (x + 2)$
231743	Graph	8x+y>=-5 x+5y<2	$8 x + y \geq - 5$ $x + 5 y < 2$
231744	Evaluate	i^34i^15i^39	$i^{34} \cdot i^{15} \cdot i^{39}$
231745	Factor by Grouping	5n^2p-10np-5n^2+10n	$5 n^{2} p - 10 n p - 5 n^{2} + 10 n$
231746	Simplify the Radical Expression	( square root of c^5)/( square root of d^9)	$\frac{\sqrt{c^{5}}}{\sqrt{d^{9}}}$
231747	Divide Using Synthetic Division	Use synthetic division to find the result when 4x^4+17x^3+10x^2-7x+18 is divided by x+2	Use synthetic division to find the result when $4 x^{4} + 17 x^{3} + 10 x^{2} - 7 x + 18$ is divided by $x + 2$
231748	Solve for r	9*12^(r+4)-8=127	$9 \cdot 12^{r + 4} - 8 = 127$
231749	Evaluate the Function	f(2)=x^3+x^2+x^1+x^0	$f (2) = x^{3} + x^{2} + x^{1} + x^{0}$
231750	Simplify	(1-cos(x)^2)/(tan(x)^2)+2sin(x)^2	$\frac{1 - \cos^{2} (x)}{\tan^{2} (x)} + 2 \sin^{2} (x)$
231751	Find the Roots (Zeros)	x-6 = square root of x	$x - 6 = \sqrt{x}$
231752	Evaluate	490E-2	$490 E - 2$
231753	Find the Excluded Values	(4x^2-12x)/(3x^2+15x)	$\frac{4 x^{2} - 12 x}{3 x^{2} + 15 x}$
231754	Write in Slope-Intercept Form	(-1,0) and (4,-5)	$(- 1, 0)$ and $(4, - 5)$
231755	Solve for b	2(6b+1)=4(b-5)-2	$2 (6 b + 1) = 4 (b - 5) - 2$
231756	Simplify the Radical Expression	( square root of x^12)/( square root of x^5)	$\frac{\sqrt{x^{12}}}{\sqrt{x^{5}}}$
231757	Write with Rational (Fractional) Exponents	( square root of 5)^2	${(\sqrt{5})}^{2}$
231758	Simplify	( square root of 3+ square root of 2)/( square root of 12- square root of 2)	$\frac{\sqrt{3} + \sqrt{2}}{\sqrt{12} - \sqrt{2}}$
231759	Simplify	( cube root of x^2y^3z^4)^2	${(\sqrt[3]{x^{2} y^{3} z^{4}})}^{2}$
231760	Solve for x	2=(3-x)/1.5	$2 = \frac{3 - x}{1.5}$
231761	Evaluate	cube root of 500/4+500/10	$\sqrt[3]{\frac{500}{4} + \frac{500}{10}}$
231762	Find All Complex Solutions	square root of x^2-3x-6=x-1	$\sqrt{x^{2} - 3 x - 6} = x - 1$
231763	Rationalize the Denominator	( cube root of 6)/( cube root of 4)	$\frac{\sqrt[3]{6}}{\sqrt[3]{4}}$
231764	Find the Equation Using Two Points	f(0)=3 and f(-6)=3	$f (0) = 3$ and $f (- 6) = 3$
231765	Evaluate	square root of x=x^(1/2)	$\sqrt{x} = x^{\frac{1}{2}}$
231766	Simplify	n^4m^3n*m^6	$n^{4} \cdot m^{3} \cdot n \cdot m^{6}$
231767	Find the Product	a^3b^2*4ab^3	$a^{3} b^{2} \cdot 4 a b^{3}$
231768	Simplify	((4x^20)/(2x^5))((100x^20)/(25x^5))((2x^20)/(2x^5))	$(\frac{4 x^{20}}{2 x^{5}}) (\frac{100 x^{20}}{25 x^{5}}) (\frac{2 x^{20}}{2 x^{5}})$
231769	Graph	-4>y+2>-10	$- 4 > y + 2 > - 10$
231770	Solve for x	x*2+5x-24=0	$x \cdot 2 + 5 x - 24 = 0$
231771	Graph	f^-1(f)=f/x	$f^{- 1} (f) = \frac{f}{x}$
231772	Solve for y	2/(y-5)=6/(3y-15)-4	$\frac{2}{y - 5} = \frac{6}{3 y - 15} - 4$
231773	Solve the System of Equations	x-y=-11 y+7=-2x	$x - y = - 11$ $y + 7 = - 2 x$
231774	Simplify	(11x^2+5y^2-8xy)+(x^2-7y^2+4x)	$(11 x^{2} + 5 y^{2} - 8 x y) + (x^{2} - 7 y^{2} + 4 x)$
231775	Simplify	4(7/8y-4-3/8y+7)	$4 (\frac{7}{8} y - 4 - \frac{3}{8} y + 7)$
231776	Solve for x	x+2(x-6)=x-11	$x + 2 (x - 6) = x - 11$
231777	Find the Inverse	f(x)=\|2x-3\|	$f (x) = \| 2 x - 3 \|$
231778	Simplify	17(a^(2n+1))^4*2a^(7n-12)	$17 {(a^{2 n + 1})}^{4} \cdot 2 a^{7 n - 12}$
231779	Evaluate	2(3g-4)-(8g+3)	$2 (3 g - 4) - (8 g + 3)$
231780	Solve for w	-8/(2w+6)+2=-4/(w+3)	$- \frac{8}{2 w + 6} + 2 = - \frac{4}{w + 3}$
231781	Find the Exact Value	1/2*( square root of 3)/2	$\frac{1}{2} \cdot \frac{\sqrt{3}}{2}$
231782	Solve for p	p--2=-9	$p - - 2 = - 9$
231783	Find the Domain and Range	y=(2x+1)/(3x-6)	$y = \frac{2 x + 1}{3 x - 6}$
231784	Solve for x	(2x^2)^3=512	${(2 x^{2})}^{3} = 512$
231785	Solve the Inequality for x	9- square root of x+4<=6	$9 - \sqrt{x + 4} \leq 6$
231786	Simplify	fourth root of 1/3* fourth root of 48	$\sqrt[4]{\frac{1}{3}} \cdot \sqrt[4]{48}$
231787	Divide	((3x^2+13x+4)/(x^2-4))÷((4x+16)/(x+2))	$\frac{3 x^{2} + 13 x + 4}{x^{2} - 4} \div \frac{4 x + 16}{x + 2}$
231788	Find All Complex Solutions	3x^4-x^2+6=0	$3 x^{4} - x^{2} + 6 = 0$
231789	Determine the Possible Number of Real Roots	-5x^5+4x^3-3x+1=0	$- 5 x^{5} + 4 x^{3} - 3 x + 1 = 0$
231790	Evaluate	4(1/2)^2-4(1/2)+1	$4 {(\frac{1}{2})}^{2} - 4 (\frac{1}{2}) + 1$
231791	Find the Inverse	( square root of x)/5	$\frac{\sqrt{x}}{5}$
231792	Solve for c	3c(c+2)=0	$3 c (c + 2) = 0$
231793	Solve the Inequality for y	-3<=2y+1<=9	$- 3 \leq 2 y + 1 \leq 9$
231794	Solve the Inequality for x	x+7<0	$x + 7 < 0$
231795	Evaluate	(-5)^2*(2/5)^2	${(- 5)}^{2} \cdot {(\frac{2}{5})}^{2}$
231796	Solve by Substitution	x=7-y x=-2y+12	$x = 7 - y$ $x = - 2 y + 12$
231797	Solve the Inequality for x	6x^2-9<=-11x-7	$6 x^{2} - 9 \leq - 11 x - 7$
231798	Solve the System of Equations	4x^2-y^2=4 x^2+y^2=1	$4 x^{2} - y^{2} = 4$ $x^{2} + y^{2} = 1$
231799	Evaluate	square root of (1-cos((7pi)/6))/2	$\sqrt{\frac{1 - \cos (\frac{7 π}{6})}{2}}$
231800	Evaluate	square root of (2x^5)/18	$\sqrt{\frac{2 x^{5}}{18}}$