Mathway | Recent Popular Problems

Recent Popular Problems

Rank	Topic	Problem	Formatted Problem
30701	Graph	y<=-3/4x+5 3x-2y>4	$y \leq - \frac{3}{4} x + 5$ $3 x - 2 y > 4$
30702	Solve the Inequality for x	2x^2+24x<=-8x-120	$2 x^{2} + 24 x \leq - 8 x - 120$
30703	Evaluate	4^(3x-2)=1	$4^{3 x - 2} = 1$
30704	Solve the Inequality for m	(1+m)/9>=1	$\frac{1 + m}{9} \geq 1$
30705	Simplify the Radical Expression	(-8)(2/3)	$(- 8) (\frac{2}{3})$
30706	Simplify	-4/5+3/10	$- \frac{4}{5} + \frac{3}{10}$
30707	Solve the Inequality for x	-2x^2-25x<5x+108	$- 2 x^{2} - 25 x < 5 x + 108$
30708	Find the x and y Intercepts	f(x)=(x+1)/(x(x+3))	$f (x) = \frac{x + 1}{x (x + 3)}$
30709	Solve the System of Equations	-x-2y=11 and -3x-2y=-7	$- x - 2 y = 11$ and $- 3 x - 2 y = - 7$
30710	Simplify	r/( square root of 6r^6)	$\frac{r}{\sqrt{6 r^{6}}}$
30711	Simplify	square root of 72a^3b^4c^5	$\sqrt{72 a^{3}} b^{4} c^{5}$
30712	Evaluate	4^2pi	$4^{2} π$
30713	Simplify	((5a^2b^3)^0)/((10a^3b^2)^-1)	$\frac{{(5 a^{2} b^{3})}^{0}}{{(10 a^{3} b^{2})}^{- 1}}$
30714	Divide Using Long Polynomial Division	Use the long division method to find the result when 16x^3+28x^2+22x+15 is divided by 4x+5	Use the long division method to find the result when $16 x^{3} + 28 x^{2} + 22 x + 15$ is divided by $4 x + 5$
30715	Find the Parabola with Focus (-4,3) and Directrix y=5	(-4,3) y=5	$(- 4, 3)$ $y = 5$
30716	Simplify the Radical Expression	(x^2y^5)^(1/5)	${(x^{2} y^{5})}^{\frac{1}{5}}$
30717	Solve for v	v^2-7v-5=-6v	$v^{2} - 7 v - 5 = - 6 v$
30718	Find the Center and Radius	x^2+y^2-6x=-4y+68	$x^{2} + y^{2} - 6 x = - 4 y + 68$
30719	Solve for x	1/4(4^(x-1))+3=12	$\frac{1}{4} (4^{x - 1}) + 3 = 12$
30720	Solve the Inequality for x	-x^2-2>=8x+5	$- x^{2} - 2 \geq 8 x + 5$
30721	Convert to Radical Form	fourth root of p* square root of p^3	$\sqrt[4]{p} \cdot \sqrt{p^{3}}$
30722	Verify the Identity	x^2-1=(x-1)(x+1)	$x^{2} - 1 = (x - 1) (x + 1)$
30723	Evaluate	5(2-y)+y=-6	$5 (2 - y) + y = - 6$
30724	Solve for x	\|x+2\|+5<=4	$\| x + 2 \| + 5 \leq 4$
30725	Find the Inverse	y=(2x+1)/(x-1)	$y = \frac{2 x + 1}{x - 1}$
30726	Solve for z	(2z-1)/3-(3z+1)/5=1	$\frac{2 z - 1}{3} - \frac{3 z + 1}{5} = 1$
30727	Convert to Radical Form	4(xy)^(1/3)	$4 {(x y)}^{\frac{1}{3}}$
30728	Evaluate	(5-4)/(4^-3)	$\frac{5 - 4}{4^{- 3}}$
30729	Add	1/7+6/7+33/7+16/7+21/7	$\frac{1}{7} + \frac{6}{7} + \frac{33}{7} + \frac{16}{7} + \frac{21}{7}$
30730	Find the Asymptotes	(3(2x-9))/(5x-3)	$\frac{3 (2 x - 9)}{5 x - 3}$
30731	Simplify	10 square root of x^15* square root of x^9	$10 \sqrt{x^{15}} \cdot \sqrt{x^{9}}$
30732	Write the Fraction in Simplest Form	1/(2x^2-4x)-2/x	$\frac{1}{2 x^{2} - 4 x} - \frac{2}{x}$
30733	Factor	factor x^2+11x+28	factor $x^{2} + 11 x + 28$
30734	Multiply	((x-y)^2)/(2xy+6y)*(4x+12)/(x^2-y^2)	$\frac{{(x - y)}^{2}}{2 x y + 6 y} \cdot \frac{4 x + 12}{x^{2} - y^{2}}$
30735	Find the Second Derivative	x^2y-2=5x+y	$x^{2} y - 2 = 5 x + y$
30736	Determine the Possible Number of Real Roots	x^3+2x^2+x=0	$x^{3} + 2 x^{2} + x = 0$
30737	Simplify	-9g(-2g+g^2)+3(g^2+4)	$- 9 g (- 2 g + g^{2}) + 3 (g^{2} + 4)$
30738	Simplify	square root of 3/( fourth root of 3)	$\sqrt{\frac{3}{\sqrt[4]{3}}}$
30739	Find the Derivative - d/dx	x^2\|x\|	$x^{2} \| x \|$
30740	Subtract	3/(7x)-9/x	$\frac{3}{7 x} - \frac{9}{x}$
30741	Divide	((x^2-9x+20)/(x-5))÷((x^2-16)/(x^2+4x))	$\frac{x^{2} - 9 x + 20}{x - 5} \div \frac{x^{2} - 16}{x^{2} + 4 x}$
30742	Find the Roots (Zeros)	x^6+36=100	$x^{6} + 36 = 100$
30743	Solve the Inequality for z	\|3z-9\|<=3	$\| 3 z - 9 \| \leq 3$
30744	Find the Antiderivative	x^3+(x^2)/2	$x^{3} + \frac{x^{2}}{2}$
30745	Solve for m	3/(m-1)=(2m)/(m+4)	$\frac{3}{m - 1} = \frac{2 m}{m + 4}$
30746	Add	1 1/2+3	$1 \frac{1}{2} + 3$
30747	Graph	y = square root of x^3	$y = \sqrt{x^{3}}$
30748	Solve for x	x^(-2/3)+x^(-1/3)-6=0	$x^{- \frac{2}{3}} + x^{- \frac{1}{3}} - 6 = 0$
30749	Find the Slope	(7/10,-1/2) and (1/5,1/5)	$(\frac{7}{10}, - \frac{1}{2})$ and $(\frac{1}{5}, \frac{1}{5})$
30750	Multiply	(x^3)(x^-17)	$(x^{3}) (x^{- 17})$
30751	Write in Slope-Intercept Form	(0,3) and (2,5)	$(0, 3)$ and $(2, 5)$
30752	Simplify	4x^2y^3(2x^-4y)	$4 x^{2} y^{3} (2 x^{- 4} y)$
30753	Evaluate	5% of 100	$5 %$ of $100$
30754	Write in y=mx+b Form	(2,-2) and (4,1)	$(2, - 2)$ and $(4, 1)$
30755	Solve for y	square root of 7y+18=y	$\sqrt{7 y + 18} = y$
30756	Simplify	x-16-(3x-2)-10x	$x - 16 - (3 x - 2) - 10 x$
30757	Solve the Inequality for x	4x^2-42-102<0	$4 x^{2} - 42 - 102 < 0$
30758	Find the Reference Angle	sin((3pi)/2)	$\sin (\frac{3 π}{2})$
30759	Find Trig Functions Using Identities	tan(theta)=-3/5 , cos(theta)>0	$\tan (θ) = - \frac{3}{5}$ , $\cos (θ) > 0$
30760	Evaluate	Find the value of cube root of 216	Find the value of $\sqrt[3]{216}$
30761	Find All Complex Solutions	(x-5)^(1/2)+5=2	${(x - 5)}^{\frac{1}{2}} + 5 = 2$
30762	Evaluate the Integral	integral from -2 to 2 of square root of 2^2-x^2 with respect to x	$\int_{- 2}^{2} \sqrt{2^{2} - x^{2}} d x$
30763	Find the Roots (Zeros)	x^4-10x^2=-9	$x^{4} - 10 x^{2} = - 9$
30764	Find the Cosecant Given the Point	( square root of 7,3)	$(\sqrt{7}, 3)$
30765	Find the Slope	(-4,1) and (2,5)	$(- 4, 1)$ and $(2, 5)$
30766	Simplify	(5 square root of 3)/2* square root of 3	$\frac{5 \sqrt{3}}{2} \cdot \sqrt{3}$
30767	Simplify	7a(a+2)(5/(a+2))	$7 a (a + 2) (\frac{5}{a + 2})$
30768	Simplify	(36x^2y^3z)^(1/6)	${(36 x^{2} y^{3} z)}^{\frac{1}{6}}$
30769	Simplify	(x^6+10x^5-6x^2-5x)+(-9x^5+5x^3+9x^2+x+10)	$(x^{6} + 10 x^{5} - 6 x^{2} - 5 x) + (- 9 x^{5} + 5 x^{3} + 9 x^{2} + x + 10)$
30770	Solve for θ in Degrees	3tan(theta)-2=5tan(theta)-1	$3 \tan (θ) - 2 = 5 \tan (θ) - 1$
30771	Evaluate	log of 2x+ log of 12=3	$\log (2 x) + \log (12) = 3$
30772	Simplify	cube root of (4a^3)/(81b^2)	$\sqrt[3]{\frac{4 a^{3}}{81 b^{2}}}$
30773	Evaluate Using the Given Value	find d/(dx)(x^3+sin(x)+4cos(x)) at x=pi	find $\frac{d}{d x} (x^{3} + \sin (x) + 4 \cos (x))$ at $x = π$
30774	Simplify	(8x^3)/(2x+12)*(x^2+7x+6)/(4x^5)	$\frac{8 x^{3}}{2 x + 12} \cdot \frac{x^{2} + 7 x + 6}{4 x^{5}}$
30775	Solve for z	7/(z-1)=9/(z+4)	$\frac{7}{z - 1} = \frac{9}{z + 4}$
30776	Simplify	2^2*2/(2^4)	$2^{2} \cdot \frac{2}{2^{4}}$
30777	Simplify	(1-i)/(-2+2i)	$\frac{1 - i}{- 2 + 2 i}$
30778	Evaluate the Integral	integral of (-3 square root of x-6 fourth root of x) with respect to x	$\int (- 3 \sqrt{x} - 6 \sqrt[4]{x}) d x$
30779	Simplify	(2x+4)/(x+1)+5/(x-2)	$\frac{2 x + 4}{x + 1} + \frac{5}{x - 2}$
30780	Solve for x	4/7=-8/x	$\frac{4}{7} = - \frac{8}{x}$
30781	Solve for x	-14(x+2)=0	$- 14 (x + 2) = 0$
30782	Evaluate Using the Given Value	-0.4(3x-2)+(2x+4)/3 for x=4	$- 0.4 (3 x - 2) + \frac{2 x + 4}{3}$ for $x = 4$
30783	Divide	( cube root of 5)/( cube root of 2)	$\frac{\sqrt[3]{5}}{\sqrt[3]{2}}$
30784	Find the Reference Angle	sin(-pi/3)	$\sin (- \frac{π}{3})$
30785	Solve the Inequality for x	(x^3(x-2))/((x+3)^2)<0	$\frac{x^{3} (x - 2)}{{(x + 3)}^{2}} < 0$
30786	Simplify	3 square root of 24x-2 square root of 54x+ square root of 48	$3 \sqrt{24 x} - 2 \sqrt{54 x} + \sqrt{48}$
30787	Graph	y-\|x-2\|	$y - \| x - 2 \|$
30788	Solve for x	7x+5+x-3+x=5	$7 x + 5 + x - 3 + x = 5$
30789	Simplify	(12x^8y^-7)/((4x^-2y^-6)^2)	$\frac{12 x^{8} y^{- 7}}{{(4 x^{- 2} y^{- 6})}^{2}}$
30790	Convert to a Decimal	630deg	$630$ degrees
30791	Solve for d	d^3=512	$d^{3} = 512$
30792	Evaluate the Integral	integral of 3/(4 square root of x^3) with respect to x	$\int \frac{3}{4 \sqrt{x^{3}}} d x$
30793	Find the Exact Value	-sin(45 degrees )	$- \sin (45 °)$
30794	Write as a Single Logarithm	log of 9xy^2- log of 27xy	$\log (9 x y^{2}) - \log (27 x y)$
30795	Solve for y	9+y^3=71	$9 + y^{3} = 71$
30796	Evaluate	1/x-1/y	$\frac{1}{x} - \frac{1}{y}$
30797	Graph	x+y=-5 y=5x+1	$x + y = - 5$ $y = 5 x + 1$
30798	Graph Using a Table of Values	2(3)^x	$2 {(3)}^{x}$
30799	Simplify the Radical Expression	fourth root of (3x)^3	$\sqrt[4]{{(3 x)}^{3}}$
30800	Simplify	7(6x^2+9xy+10y^2)	$7 (6 x^{2} + 9 x y + 10 y^{2})$