Mathway | Popular Problems

Popular Problems

Rank	Topic	Problem	Formatted Problem
228701	Find the GCF	8ax-56a	$8 a x - 56 a$
228702	Solve the Inequality for x	\|-x-10\|+4<-8	$\| - x - 10 \| + 4 < - 8$
228703	Factor	x^4-y^4+x^2-y^2	$x^{4} - y^{4} + x^{2} - y^{2}$
228704	Solve for x	(x-3)(x^2-22x+84)=0	$(x - 3) (x^{2} - 22 x + 84) = 0$
228705	Simplify	3 square root of -24*2 square root of -15	$3 \sqrt{- 24} \cdot 2 \sqrt{- 15}$
228706	Simplify	((4c^-5)/(8d^-2))^3	${(\frac{4 c^{- 5}}{8 d^{- 2}})}^{3}$
228707	Solve for m	12m4m=48	$12 m \cdot 4 \cdot m = 48$
228708	Write as a Single Logarithm	2* log base 4 of 9+3* log base 4 of 2	$2 \cdot \log_{4} (9) + 3 \cdot \log_{4} (2)$
228709	Simplify the Radical Expression	-2 cube root of -27b^4	$- 2 \sqrt[3]{- 27 b^{4}}$
228710	Graph	1/2(x-2)^2-2>0	$\frac{1}{2} {(x - 2)}^{2} - 2 > 0$
228711	Simplify	(6y-18)/(2y-6)	$\frac{6 y - 18}{2 y - 6}$
228712	Evaluate	i^14i^8i^24*i^12	$i^{14} \cdot i^{8} \cdot i^{24} \cdot i^{12}$
228713	Simplify	7xy(3x^2+4y+2)	$7 x y (3 x^{2} + 4 y + 2)$
228714	Find the LCM	16x^2y , 32x	$16 x^{2} y$ , $32 x$
228715	Solve the Inequality for y	2y+6<8x	$2 y + 6 < 8 x$
228716	Simplify	2xy^-2 square root of 4xy^2	$2 x y^{- 2} \sqrt{4 x y^{2}}$
228717	Graph	y<=x x+y>=1	$y \leq x$ $x + y \geq 1$
228718	Solve the Rational Equation for n	fourth root of n+1=2	$\sqrt[4]{n + 1} = 2$
228719	Solve for θ	sin(2theta) = square root of 2sin(theta)	$\sin (2 θ) = \sqrt{2} \sin (θ)$
228720	Convert to Radical Form	fifth root of 4* square root of 2	$\sqrt[5]{4} \cdot \sqrt{2}$
228721	Simplify	4/(x^2-4)-1/(x-2)	$\frac{4}{x^{2} - 4} - \frac{1}{x - 2}$
228722	Solve the System of Equations	y=1/2x+3 x-2y=-6	$y = \frac{1}{2} x + 3$ $x - 2 y = - 6$
228723	Simplify	(7p^4-6p^3-3p)-(1+3p^3+p^4)	$(7 p^{4} - 6 p^{3} - 3 p) - (1 + 3 p^{3} + p^{4})$
228724	Solve for x	2^x+2^(x-2)=5	$2^{x} + 2^{x - 2} = 5$
228725	Simplify	(2x)/(x^2-49)-3/((x-4)(x-7))	$\frac{2 x}{x^{2} - 49} - \frac{3}{(x - 4) (x - 7)}$
228726	Simplify	square root of 4*(- cube root of 125)	$\sqrt{4} \cdot (- \sqrt[3]{125})$
228727	Factor	(10x^2+11x)^2-15(10x^2+11x)-54	${(10 x^{2} + 11 x)}^{2} - 15 (10 x^{2} + 11 x) - 54$
228728	Solve for x	x/5+(2x)/3+x=2	$\frac{x}{5} + \frac{2 x}{3} + x = 2$
228729	Solve for b	17=b^3	$17 = b^{3}$
228730	Simplify the Radical Expression	-3 cube root of -3+2 cube root of 162+3 cube root of 81	$- 3 \sqrt[3]{- 3} + 2 \sqrt[3]{162} + 3 \sqrt[3]{81}$
228731	Simplify the Radical Expression	- fourth root of 625	$- \sqrt[4]{625}$
228732	Simplify	(3 fourth root of x)^2	${(3 \sqrt[4]{x})}^{2}$
228733	Solve for x	6x-9+4x+10+4x-3=180	$6 x - 9 + 4 x + 10 + 4 x - 3 = 180$
228734	Solve the System of Equations	y = square root of 9-x x+2y=6	$y = \sqrt{9 - x}$ $x + 2 y = 6$
228735	Simplify	8/(3x+5)-(2x)/(3x+5)	$\frac{8}{3 x + 5} - \frac{2 x}{3 x + 5}$
228736	Find the Product	1/3(3/4e-12)+3e=6-1/2e	$\frac{1}{3} (\frac{3}{4} e - 12) + 3 e = 6 - \frac{1}{2} e$
228737	Solve for x	5x-3+x+9+90=180	$5 x - 3 + x + 9 + 90 = 180$
228738	Solve for x	\|2x-6\|=\|x-3\|	$\| 2 x - 6 \| = \| x - 3 \|$
228739	Factor by Grouping	x^4+x^2-12	$x^{4} + x^{2} - 12$
228740	Find the x and y Intercepts	y=(9x^2)/(6x^2-23x+20)	$y = \frac{9 x^{2}}{6 x^{2} - 23 x + 20}$
228741	Write in Slope-Intercept Form	x-y=3(x-y)	$x - y = 3 (x - y)$
228742	Simplify	-2 3/4+(-1/2)	$- 2 \frac{3}{4} + (- \frac{1}{2})$
228743	Simplify	((2x^(n+1))^2x^(3-n))/(x^(2(n+1))(x^n)^2)	$\frac{{(2 x^{n + 1})}^{2} x^{3 - n}}{x^{2 (n + 1)} {(x^{n})}^{2}}$
228744	Evaluate	csc(360 degrees )	$\csc (360 °)$
228745	Solve the Rational Equation for x	-x/(x-8)+5=-8/(x-8)	$- \frac{x}{x - 8} + 5 = - \frac{8}{x - 8}$
228746	Simplify	(sec(x)^2)/(sec(x))	$\frac{\sec^{2} (x)}{\sec (x)}$
228747	Find the x and y Intercepts	f(x)=tan(3x)	$f (x) = \tan (3 x)$
228748	Solve for t	t^2-6t+9=0	$t^{2} - 6 t + 9 = 0$
228749	Solve the System of Equations	x^2+(y-2)^2=25 -2x+y=7	$x^{2} + {(y - 2)}^{2} = 25$ $- 2 x + y = 7$
228750	Divide Using Long Polynomial Division	Use the long division method to find the result when 3x^3+8x^2-19x+4 is divided by 3x-4	Use the long division method to find the result when $3 x^{3} + 8 x^{2} - 19 x + 4$ is divided by $3 x - 4$
228751	Simplify	2/(x^2-36)-1/(x^2+6x)	$\frac{2}{x^{2} - 36} - \frac{1}{x^{2} + 6 x}$
228752	Solve the Rational Equation for x	x = square root of 20-x	$x = \sqrt{20 - x}$
228753	Simplify	((x^2-9)/(y^2-25))÷((2x^2-6x)/(3y^2-15y))+(3-1.5y)/(y+5)	$\frac{(x^{2} - 9)}{y^{2} - 25} \div \frac{(2 x^{2} - 6 x)}{3 y^{2} - 15 y} + \frac{(3 - 1.5 y)}{y + 5}$
228754	Simplify	cube root of (27y^3)^4 sixth root of (27y^3)^4	$\sqrt[3]{{(27 y^{3})}^{4}} \sqrt[6]{{(27 y^{3})}^{4}}$
228755	Find the LCM	x^2+3x-40 and x-8	$x^{2} + 3 x - 40$ and $x - 8$
228756	Find f(g(x))	f(x)=6x-15 and g(x)=1/6x+5/2	$f (x) = 6 x - 15$ and $g (x) = \frac{1}{6} x + \frac{5}{2}$
228757	Solve the System of Equations	-x-2y=6 y=-1/2x-3	$- x - 2 y = 6$ $y = - \frac{1}{2} x - 3$
228758	Solve for x	x/(x-3)=-6/(x-3)-1/2	$\frac{x}{x - 3} = \frac{- 6}{x - 3} - \frac{1}{2}$
228759	Multiply	(x+7)/(x+8)*(x^2+x-56)/(x^2-49)	$\frac{x + 7}{x + 8} \cdot \frac{x^{2} + x - 56}{x^{2} - 49}$
228760	Factor by Grouping	18xy+6y^2	$18 x y + 6 y^{2}$
228761	Subtract	(-2x^2-8x+3)+(-9x^2+x+3)	$(- 2 x^{2} - 8 x + 3) + (- 9 x^{2} + x + 3)$
228762	Convert to a Decimal	51 correct : 9 incorrect	$51$ correct : $9$ incorrect
228763	Divide Using Long Polynomial Division	(x^4+6x^2-5)/(x^4)	$\frac{x^{4} + 6 x^{2} - 5}{x^{4}}$
228764	Solve the System of Equations	3x+9y+z=-2 x+9y+z=4 9x-9y+5z=8	$3 x + 9 y + z = - 2$ $x + 9 y + z = 4$ $9 x - 9 y + 5 z = 8$
228765	Divide	(-16/25)÷(8/5)	$- \frac{16}{25} \div \frac{8}{5}$
228766	Graph Using a Table of Values	f(x)=2 square root of x+1	$f (x) = 2 \sqrt{x + 1}$
228767	Graph	tan(theta)<0 , cos(theta)<0	$\tan (θ) < 0$ , $\cos (θ) < 0$
228768	Solve for x	6/(2x-6)=3	$\frac{6}{2 x - 6} = 3$
228769	Write in Standard Form	7+x^5	$7 + x^{5}$
228770	Solve for x	2 square root of x+1+2 square root of x=1	$2 \sqrt{x + 1} + 2 \sqrt{x} = 1$
228771	Simplify	f(5/2)	$f (\frac{5}{2})$
228772	Simplify	(4(-12+6))÷3	$4 (- 12 + 6) \div 3$
228773	Find the Domain and Range	y=-3x^5+4x^3-x-1	$y = - 3 x^{5} + 4 x^{3} - x - 1$
228774	Multiply	square root of 9x^2* square root of 9y^5	$\sqrt{9 x^{2}} \cdot \sqrt{9 y^{5}}$
228775	Find the Equation with a Point and Slope	What is the equation of the line that passes through the point (-5,2) and has a slope of -2/5 ?	What is the equation of the line that passes through the point $(- 5, 2)$ and has a slope of $- \frac{2}{5}$ ?
228776	Simplify	5/(12k^2-40k)	$\frac{5}{12 k^{2} - 40 k}$
228777	Graph	graph y=1/2x+3	graph $y = \frac{1}{2} x + 3$
228778	Divide	-x/-2	$- \frac{x}{- 2}$
228779	Find the Exact Value	-34+-7	$- 34 + - 7$
228780	Subtract	16-(2-3i)-i	$16 - (2 - 3 i) - i$
228781	Subtract	(2x^2-3x+2)-(-4x^2-2+2x)	$(2 x^{2} - 3 x + 2) - (- 4 x^{2} - 2 + 2 x)$
228782	Subtract	(x^2-3x+4)-(3x+x^3-4)	$(x^{2} - 3 x + 4) - (3 x + x^{3} - 4)$
228783	Simplify	((4vw^-3x^2)^2)/((2v^3w^2x^-2)^4)*(-v^3w^2x^-4)^-3	$\frac{{(4 v w^{- 3} x^{2})}^{2}}{{(2 v^{3} w^{2} x^{- 2})}^{4}} \cdot {(- v^{3} w^{2} x^{- 4})}^{- 3}$
228784	Find the Exact Value	(5+3i)+(2-8i)	$(5 + 3 i) + (2 - 8 i)$
228785	Solve for b	ab=-5	$a b = - 5$
228786	Solve the Inequality for p	\|-3p-7\|>5	$\| - 3 p - 7 \| > 5$
228787	Simplify	2 3/4c+3 1/8c+7	$2 \frac{3}{4} c + 3 \frac{1}{8} c + 7$
228788	Expand the Logarithmic Expression	natural log of (3e^4)/(x^2)	$\ln (\frac{3 e^{4}}{x^{2}})$
228789	Simplify	(2x- square root of 3)(1+ square root of 3x^3)	$(2 x - \sqrt{3}) (1 + \sqrt{3 x^{3}})$
228790	Solve for y	-9/y=-6	$- \frac{9}{y} = - 6$
228791	Simplify	-3x^2(2x+7)+4x(3x^2-x+5)+2(x^2-4)	$- 3 x^{2} (2 x + 7) + 4 x (3 x^{2} - x + 5) + 2 (x^{2} - 4)$
228792	Find the Slope and y-intercept	f(x)=5x+8/7	$f (x) = 5 x + \frac{8}{7}$
228793	Solve for t	s=20.05 square root of t+273.15	$s = 20.05 \sqrt{t + 273.15}$
228794	Rationalize the Denominator	( square root of 32c^5d^3)/( square root of 2ab)	$\frac{\sqrt{32 c^{5} d^{3}}}{\sqrt{2 a b}}$
228795	Write in Slope-Intercept Form	(1,8) and (-2,-1)	$(1, 8)$ and $(- 2, - 1)$
228796	Simplify	(8/9)^(-3/2)	${(\frac{8}{9})}^{- \frac{3}{2}}$
228797	Solve for a	4(2a-9)=5(3a-7)-1	$4 (2 a - 9) = 5 (3 a - 7) - 1$
228798	Find the Domain and Range	y=1/2x^3+x^2-3x+1	$y = \frac{1}{2} x^{3} + x^{2} - 3 x + 1$
228799	Solve the System of Equations	y+1=-2x^2+4 2x-y=5	$y + 1 = - 2 x^{2} + 4$ $2 x - y = 5$
228800	Multiply	1*2/1	$1 \cdot \frac{2}{1}$