Mathway | Popular Problems

Popular Problems

Rank	Topic	Problem	Formatted Problem
225601	Factor	Factor the polynomial 3x^2-75	Factor the polynomial $3 x^{2} - 75$
225602	Simplify	6xy^3z*3x^2yz^2	$6 x y^{3} z \cdot 3 x^{2} y z^{2}$
225603	Solve for m	-6m^2=-414	$- 6 m^{2} = - 414$
225604	Simplify	(m+2)((m^2+3m-6)+(m^2-2m+4))	$(m + 2) ((m^{2} + 3 m - 6) + (m^{2} - 2 m + 4))$
225605	Solve the Inequality for x	-4x^2-13>11x-7	$- 4 x^{2} - 13 > 11 x - 7$
225606	Factor	3(3x+2)(2x-5)^(-1/4)+6(2x-5)^(3/4)	$3 (3 x + 2) {(2 x - 5)}^{- \frac{1}{4}} + 6 {(2 x - 5)}^{\frac{3}{4}}$
225607	Simplify	(-2^-4)/(3^-3)	$\frac{- 2^{- 4}}{3^{- 3}}$
225608	Convert to Rectangular	(2+2 square root of 3i)^6	${(2 + 2 \sqrt{3} i)}^{6}$
225609	Solve for m	4n=3m-1	$4 n = 3 m - 1$
225610	Find the GCF	21m^5n^2+6m^3n+15m^2	$21 m^{5} n^{2} + 6 m^{3} n + 15 m^{2}$
225611	Solve by Substitution	5x=15+10y 3x+7y=31	$5 x = 15 + 10 y$ $3 x + 7 y = 31$
225612	Evaluate	arctan(( square root of 3)/1)	$\arctan (\frac{\sqrt{3}}{1})$
225613	Divide Using Synthetic Division	(x^3+x^2+5x)÷(x+1)	$(x^{3} + x^{2} + 5 x) \div (x + 1)$
225614	Convert to a Percentage	what percent of 40 is 14	what percent of $40$ is $14$
225615	Simplify	5^0*(5^-5)/(5^5)	$5^{0} \cdot \frac{5^{- 5}}{5^{5}}$
225616	Simplify	8.12(x^(2/3)y^(4/5)z^(6/7))^0	$8.12 {(x^{\frac{2}{3}} y^{\frac{4}{5}} z^{\frac{6}{7}})}^{0}$
225617	Solve the System of Equations	y=3/4x+12 y=4/3x	$y = \frac{3}{4} x + 12$ $y = \frac{4}{3} x$
225618	Find the x and y Intercepts	f(x)=x(x-1)(x^2+4)(x-1)(4x+3)^2(x-3)^2	$f (x) = x (x - 1) (x^{2} + 4) (x - 1) {(4 x + 3)}^{2} {(x - 3)}^{2}$
225619	Simplify	((x^3y^2z^3)/(x^2yz^2))^-2	${(\frac{x^{3} y^{2} z^{3}}{x^{2} y z^{2}})}^{- 2}$
225620	Solve Using the Quadratic Formula	h=70-10T-5t^2	$h = 70 - 10 T - 5 t^{2}$
225621	Simplify/Condense	log base b of 3- log base b of 3	$\log_{b} (3) - \log_{b} (3)$
225622	Solve for r	6r=3/8	$6 r = \frac{3}{8}$
225623	Solve Using the Quadratic Formula	0=-(1/2)x^2+3x+8	$0 = - (\frac{1}{2}) x^{2} + 3 x + 8$
225624	Find the x and y Intercepts	f(x)=-1/4 square root of 8-4x+1	$f (x) = - \frac{1}{4} \sqrt{8 - 4 x} + 1$
225625	Solve for x	(4x^2-1)/3=x(10x-9)	$\frac{4 x^{2} - 1}{3} = x (10 x - 9)$
225626	Solve for k	4(-3)^3+4(-3)^2-3k+3=-75	$4 {(- 3)}^{3} + 4 {(- 3)}^{2} - 3 k + 3 = - 75$
225627	Divide Using Synthetic Division	Use synthetic division to find the result when 2x^4-14x^3+16x^2-19x-30 is divided by x-6	Use synthetic division to find the result when $2 x^{4} - 14 x^{3} + 16 x^{2} - 19 x - 30$ is divided by $x - 6$
225628	Evaluate	95% of 40	$95 %$ of $40$
225629	Find the Parallel Line	y=-2x-6 , P=(4,6)	$y = - 2 x - 6$ , $P = (4, 6)$
225630	Solve the Inequality for x	4x^2+12x>=-x-3	$4 x^{2} + 12 x \geq - x - 3$
225631	Simplify	(5-9a^3)+(4a^2+6a-3)	$(5 - 9 a^{3}) + (4 a^{2} + 6 a - 3)$
225632	Simplify	a-(b-(c-(d-e)-f)-g)	$a - (b - (c - (d - e) - f) - g)$
225633	Multiply	( square root of 2+ square root of 3)^2	${(\sqrt{2} + \sqrt{3})}^{2}$
225634	Solve for x	-4/3-(3x+1)/6=7	$\frac{- 4}{3} - \frac{3 x + 1}{6} = 7$
225635	Graph	(-3,-1) union (-1,2) union (2,6)	$(- 3, - 1) \cup (- 1, 2) \cup (2, 6)$
225636	Determine if Linear	f(x)=3(x+2)	$f (x) = 3 (x + 2)$
225637	Simplify	(-27)^(2/3)(81^(1/4))	${(- 27)}^{\frac{2}{3}} (81^{\frac{1}{4}})$
225638	Simplify	(24x^-1)/(8x^-5y^7)	$\frac{24 x^{- 1}}{8 x^{- 5} y^{7}}$
225639	Simplify	(7t^2+6t-1)-(3t-5t^2+4-t^3)	$(7 t^{2} + 6 t - 1) - (3 t - 5 t^{2} + 4 - t^{3})$
225640	Solve for z	18z^2-31z+12=-2z^2	$18 z^{2} - 31 z + 12 = - 2 z^{2}$
225641	Solve for a	square root of a* square root of b=6 square root of 5	$\sqrt{a} \cdot \sqrt{b} = 6 \sqrt{5}$
225642	Solve for p	2p^4=162	$2 p^{4} = 162$
225643	Simplify	(6\|4+(-10)\|)/(2*3^2)	$\frac{6 \| 4 + (- 10) \|}{2 \cdot 3^{2}}$
225644	Simplify	5/( square root of 4m^7)	$\frac{5}{\sqrt{4 m^{7}}}$
225645	Find the Holes in the Graph	f(x)=(2x^2)/(x^2-1)	$f (x) = \frac{2 x^{2}}{x^{2} - 1}$
225646	Solve for x	(x-4)/(x-2)=(x-2)/(x+2)-1/(2-x)	$\frac{x - 4}{x - 2} = \frac{x - 2}{x + 2} - \frac{1}{2 - x}$
225647	Graph	-y^2=x^2-36	$- y^{2} = x^{2} - 36$
225648	Solve for x	(3 square root of 3)^2 = square root of x	${(3 \sqrt{3})}^{2} = \sqrt{x}$
225649	Find the Product	1/2(2/3e-3+2e)=-4(1/8e+1-e)	$\frac{1}{2} (\frac{2}{3} e - 3 + 2 e) = - 4 (\frac{1}{8} e + 1 - e)$
225650	Identify the Polar Equation	x^2+(y-2)^2=4	$x^{2} + {(y - 2)}^{2} = 4$
225651	Find the Equation with a Point and Slope	What is the equation of the line that passes through the point (7,-6) and has a slope of -2 ?	What is the equation of the line that passes through the point $(7, - 6)$ and has a slope of $- 2$ ?
225652	Evaluate	48/3+2(7)^2	$\frac{48}{3} + 2 {(7)}^{2}$
225653	Simplify the Radical Expression	( square root of 6)(4 square root of -9)	$(\sqrt{6}) (4 \sqrt{- 9})$
225654	Simplify	(5x-3)/(4x)-1/(6x)	$\frac{5 x - 3}{4 x} - \frac{1}{6 x}$
225655	Evaluate the Function Using Synthetic Division	p(-3) for p(x)=x^4-2x^3-4x+4	$p (- 3)$ for $p (x) = x^{4} - 2 x^{3} - 4 x + 4$
225656	Simplify	(6x)/(4/y-3/x)	$\frac{6 x}{\frac{4}{y} - \frac{3}{x}}$
225657	Solve for x	6=x+ square root of x	$6 = x + \sqrt{x}$
225658	Simplify	5a+2b-5a+6b	$5 a + 2 b - 5 a + 6 b$
225659	Find the Exact Value	csc(15 degrees )	$\csc (15 °)$
225660	Write the Fraction in Simplest Form	(-3(j^-3a^4)^-3)/(3j^4a^8)	$\frac{- 3 {(j^{- 3} a^{4})}^{- 3}}{3 j^{4} a^{8}}$
225661	Solve for x	x=-5+3-3	$x = - 5 + 3 - 3$
225662	Write the Fraction in Simplest Form	(10h^-6)/((2y^-5h)^-1)	$\frac{10 h^{- 6}}{{(2 y^{- 5} h)}^{- 1}}$
225663	Graph	-1/2cos(x)	$- \frac{1}{2} \cos (x)$
225664	Simplify	cube root of 24-5 cube root of 81+ cube root of 1/9	$\sqrt[3]{24} - 5 \sqrt[3]{81} + \sqrt[3]{\frac{1}{9}}$
225665	Evaluate	log base 3 of 2+2 log base 3 of x	$\log_{3} (2) + 2 \log_{3} (x)$
225666	Simplify	square root of -x^2+4	$\sqrt{- x^{2} + 4}$
225667	Find the Inverse	f(x)=(x1/4)/5	$f (x) = \frac{x \frac{1}{4}}{5}$
225668	Graph	y<-2/3x+1 y<=1/3x-2	$y < - \frac{2}{3} x + 1$ $y \leq \frac{1}{3} x - 2$
225669	Simplify	-4(2x^2+x-4)-15	$- 4 (2 x^{2} + x - 4) - 15$
225670	Simplify the Radical Expression	11 square root of 5-9 square root of 5-17 square root of 5	$11 \sqrt{5} - 9 \sqrt{5} - 17 \sqrt{5}$
225671	Solve the System of Equations	3x-3y=-9 and -6x+8y=6	$3 x - 3 y = - 9$ and $- 6 x + 8 y = 6$
225672	Simplify	(10ef^3)^5	${(10 e f^{3})}^{5}$
225673	Write in Exponential Form	log base x of y=1/w	$\log_{x} (y) = \frac{1}{w}$
225674	Convert to Radical Form	(32^2x^4y^12)^(1/5)	${(32^{2} x^{4} y^{12})}^{\frac{1}{5}}$
225675	Evaluate	(x^3y^6)^-2+(x^2y^4)^-3	${(x^{3} y^{6})}^{- 2} + {(x^{2} y^{4})}^{- 3}$
225676	Solve for x	log base 5 of 5^(x+1)-20=x	$\log_{5} (5^{x + 1} - 20) = x$
225677	Divide Using Long Polynomial Division	(x^4+5x^3+3x^2)/x	$\frac{x^{4} + 5 x^{3} + 3 x^{2}}{x}$
225678	Convert to a Decimal	fatima has twice as much money as mona. if fatima has AED 68 ; then Mona has	fatima has twice as much money as mona. if fatima has AED $68$ ; then Mona has
225679	Simplify	1/5(15a+b)	$\frac{1}{5} (15 a + b)$
225680	Solve the Rational Equation for r	(r+5)/(r^2-2r)-1=1/(r^2-2r)	$\frac{r + 5}{r^{2} - 2 r} - 1 = \frac{1}{r^{2} - 2 r}$
225681	Subtract	(2x-10y+10z)-(6x+10z)	$(2 x - 10 y + 10 z) - (6 x + 10 z)$
225682	Evaluate	(( square root of 3)/2)/1	$\frac{\frac{\sqrt{3}}{2}}{1}$
225683	Simplify	(-4^-6y^-6)^-4	${(- 4^{- 6} y^{- 6})}^{- 4}$
225684	Solve the Inequality for x	(\|x-4\|)/5<=2	$\frac{\| x - 4 \|}{5} \leq 2$
225685	Solve for x	(10+5x)/15=4	$\frac{10 + 5 x}{15} = 4$
225686	Evaluate	square root of cube root of 64	$\sqrt[2]{\sqrt[3]{64}}$
225687	Simplify	(3x^4)/(7x)*(8x^2)/9	$\frac{3 x^{4}}{7 x} \cdot \frac{8 x^{2}}{9}$
225688	Find the Distance Between Two Points	What is the distance between the points (1,2) and (4,6) ?	What is the distance between the points $(1, 2)$ and $(4, 6)$ ?
225689	Simplify	((4x^2-2x)/(x^2+5x+4))÷((2x)/(x^2+2x+1))	$\frac{4 x^{2} - 2 x}{x^{2} + 5 x + 4} \div \frac{2 x}{x^{2} + 2 x + 1}$
225690	Evaluate	square root of x+6=x	$\sqrt{x} + 6 = x$
225691	Solve for x	3x-5y>=10	$3 x - 5 y \geq 10$
225692	Simplify	( cube root of 1024s^3)( cube root of 50s)	$(\sqrt[3]{1024 s^{3}}) (\sqrt[3]{50 s})$
225693	Solve for x	(1/8)^(-2x-6)>(1/32)^(-x+11)	${(\frac{1}{8})}^{- 2 x - 6} > {(\frac{1}{32})}^{- x + 11}$
225694	Solve the Rational Equation for x	1-(7x)/(x-1)=-7/(x-1)	$1 - \frac{7 x}{x - 1} = - \frac{7}{x - 1}$
225695	Factor	6x(x^2+9)-7(x^2+9)	$6 x (x^{2} + 9) - 7 (x^{2} + 9)$
225696	Multiply	2(4x+2)(x-1)	$2 (4 x + 2) (x - 1)$
225697	Write in Slope-Intercept Form	3y+2=2y-5x	$3 y + 2 = 2 y - 5 x$
225698	Solve for x	(x-9)(x+2)=x^2+3	$(x - 9) (x + 2) = x^{2} + 3$
225699	Simplify	Simplify ((2x^3-12x^2+16x)/(x^2+3x-28))÷((4x^2-36x+56)/(2x^2-98))	Simplify $\frac{2 x^{3} - 12 x^{2} + 16 x}{x^{2} + 3 x - 28} \div \frac{4 x^{2} - 36 x + 56}{2 x^{2} - 98}$
225700	Solve the Inequality for x	7x^2+4x+3>3x^2+4x+4	$7 x^{2} + 4 x + 3 > 3 x^{2} + 4 x + 4$