Mathway | Recent Popular Problems

Recent Popular Problems

Rank	Topic	Problem	Formatted Problem
14501	Convert to a Percentage	45 is what percent of 60	$45$ is what percent of $60$
14502	Solve by Graphing	y=4/5x-4 x=5	$y = \frac{4}{5} x - 4$ $x = 5$
14503	Solve the System of Equations	x=1 y=-2	$x = 1$ $y = - 2$
14504	Find the Product	7x^3(2x+3)	$7 x^{3} (2 x + 3)$
14505	Solve the Function Operation	6 (2x-5)=-(x+4)	$6$ $(2 x - 5) = - (x + 4)$
14506	Evaluate	i^58*i^55	$i^{58} \cdot i^{55}$
14507	Factor	6y^2(y^2+6y+9)	$6 y^{2} (y^{2} + 6 y + 9)$
14508	Simplify	((p^3)/(q^2))*2	$(\frac{p^{3}}{q^{2}}) \cdot 2$
14509	Evaluate	8*5^((-t)/9)=346	$8 \cdot 5^{\frac{- t}{9}} = 346$
14510	Write the Fraction in Simplest Form	(-6j^-9)/((-2j^4)^3)	$\frac{- 6 j^{- 9}}{{(- 2 j^{4})}^{3}}$
14511	Simplify the Radical Expression	(5a^3b^2)^(2/3)	${(5 a^{3} b^{2})}^{\frac{2}{3}}$
14512	Find the Exact Value	(15,625)	$(15, 625)$
14513	Solve for n	-8-5 1/4n=-7/8	$- 8 - 5 \frac{1}{4} n = - \frac{7}{8}$
14514	Evaluate	fifth root of 5* fifth root of 5^2	$\sqrt[5]{5} \cdot \sqrt[5]{5^{2}}$
14515	Simplify	- cube root of 2x^4y^2*3 cube root of 20x^5y	$- \sqrt[3]{2 x^{4} y^{2}} \cdot 3 \sqrt[3]{20 x^{5} y}$
14516	Simplify	(x^2-x-6)/(2x^2+x-6)*(2x^2+7x-15)/(x^2-9)	$\frac{x^{2} - x - 6}{2 x^{2} + x - 6} \cdot \frac{2 x^{2} + 7 x - 15}{x^{2} - 9}$
14517	Solve for y	1-4y^2=0	$1 - 4 y^{2} = 0$
14518	Find the GCF	12ab and 12	$12 a b$ and $12$
14519	Add	(x^2-2)/(x(x-1)^2)+(2-x)/(x(x-1)^2)	$\frac{x^{2} - 2}{x {(x - 1)}^{2}} + \frac{2 - x}{x {(x - 1)}^{2}}$
14520	Evaluate the Integral	integral of 2x(2x+3)^2 with respect to x	$\int 2 x {(2 x + 3)}^{2} d x$
14521	Evaluate the Integral	integral from 1 to 4 of ( square root of 2+ square root of x)/( square root of x) with respect to x	$\int_{1}^{4} \frac{(\sqrt{2 + \sqrt{x}})}{\sqrt{x}} d x$
14522	Solve the Inequality for w	w-0.9>-2.1	$w - 0.9 > - 2.1$
14523	Simplify	(a^8b^2c^0)/(a^5b^5)	$\frac{a^{8} b^{2} c^{0}}{a^{5} b^{5}}$
14524	Evaluate	(1/2*4/3)÷(5/6)	$\frac{1}{2} \cdot \frac{4}{3} \div \frac{5}{6}$
14525	Solve the Function Operation	f(x) = square root of x+9 ; find f^-1(x)	$f (x) = \sqrt{x + 9}$ ; find $f^{- 1} (x)$
14526	Simplify	(5x^2y^3)/(-5y^3)	$\frac{5 x^{2} y^{3}}{- 5 y^{3}}$
14527	Solve Using the Quadratic Formula	9(5-3x)^2-40=9	$9 {(5 - 3 x)}^{2} - 40 = 9$
14528	Find the Roots (Zeros)	x^2-18x=-31	$x^{2} - 18 x = - 31$
14529	Graph	-x^2+12x-36>y	$- x^{2} + 12 x - 36 > y$
14530	Find dy/dx	5x^2-x^3-2y^3-y^2=3x	$5 x^{2} - x^{3} - 2 y^{3} - y^{2} = 3 x$
14531	Find the Degree, Leading Term, and Leading Coefficient	-10-1/6x^2	$- 10 - \frac{1}{6} x^{2}$
14532	Simplify	((x^2y)/(z^2))/((xy^2)/(z^2))	$\frac{\frac{x^{2} y}{z^{2}}}{\frac{x y^{2}}{z^{2}}}$
14533	Simplify	(2x^4y^2*2y^3)^4	${(2 x^{4} y^{2} \cdot 2 y^{3})}^{4}$
14534	Solve for x	3(x-2)+7x=1/2(6x-2)	$3 (x - 2) + 7 x = \frac{1}{2} (6 x - 2)$
14535	Solve for d	5^-3*2^-3=10^d	$5^{- 3} \cdot 2^{- 3} = 10^{d}$
14536	Write in Standard Form	9y^2+144y+504=4x^2+24x	$9 y^{2} + 144 y + 504 = 4 x^{2} + 24 x$
14537	Find the Antiderivative	x* square root of x	$x \cdot \sqrt{x}$
14538	Evaluate	3 log base 9 of x^2	$3 \log_{9} (x^{2})$
14539	Write the Fraction in Simplest Form	limit as x approaches 2 of (x^3-8)/(x-2)	$lim_{x \to 2} \frac{x^{3} - 8}{x - 2}$
14540	Divide Using Synthetic Division	(y^3+y^2-10)÷(y+3)	$(y^{3} + y^{2} - 10) \div (y + 3)$
14541	Simplify	( square root of n^9)/( fourth root of n^7)	$\frac{\sqrt{n^{9}}}{\sqrt[4]{n^{7}}}$
14542	Solve for x	31285+68985-100x=85	$312 \cdot 85 + 689 \cdot 85 - 100 x = 85$
14543	Find dy/dx	-4y^2-x-xy=0	$- 4 y^{2} - x - x y = 0$
14544	Find the Antiderivative	1/(x^3)dx	$\frac{1}{x^{3}} d x$
14545	Find the Quotient	(4y^2-4y+1)/(2y-1)	$\frac{4 y^{2} - 4 y + 1}{2 y - 1}$
14546	Solve for x	-1080=-5x^(3/2)	$- 1080 = - 5 x^{\frac{3}{2}}$
14547	Divide	(a^15b^2c^18)/(a^12b^2c^3)	$\frac{a^{15} b^{2} c^{18}}{a^{12} b^{2} c^{3}}$
14548	Simplify	(-5x^2y)^2*xy^2-9x^5y^4	${(- 5 x^{2} y)}^{2} \cdot x y^{2} - 9 x^{5} y^{4}$
14549	Find dy/dx	y-x^2=-2+xy^2	$y - x^{2} = - 2 + x y^{2}$
14550	Find the Inverse	f(x)=5 cube root of x+4-2	$f (x) = 5 \sqrt[3]{x + 4} - 2$
14551	Solve for x	1+5/(3x)=7/(3x)	$1 + \frac{5}{3 x} = \frac{7}{3 x}$
14552	Evaluate	(3 cube root of 2)^3	${(3 \sqrt[3]{2})}^{3}$
14553	Solve Using the Quadratic Formula	15x^2-3x=5x^2-1	$15 x^{2} - 3 x = 5 x^{2} - 1$
14554	Graph	x-3y=6 y=2x+3	$x - 3 y = 6$ $y = 2 x + 3$
14555	Simplify	((36c^6)/(25y^8))^(-1/2)	${(\frac{36 c^{6}}{25 y^{8}})}^{\frac{- 1}{2}}$
14556	Solve the System of Equations	-x-2y=-4z+12 3x-6y+z=15 2x+5y+1=0	$- x - 2 y = - 4 z + 12$ $3 x - 6 y + z = 15$ $2 x + 5 y + 1 = 0$
14557	Simplify	-m+17m-12c+3m+4c+21c	$- m + 17 m - 12 c + 3 m + 4 c + 21 c$
14558	Find the Antiderivative	f(x)=2(x-1)^2	$f (x) = 2 {(x - 1)}^{2}$
14559	Rationalize the Denominator	( square root of 10)/( square root of 180- square root of 20)	$\frac{\sqrt{10}}{\sqrt{180} - \sqrt{20}}$
14560	Simplify	-2+6x+z-2x+8-4z	$- 2 + 6 x + z - 2 x + 8 - 4 z$
14561	Add	6x^2+10x-1+-5x^2-2x+1	$6 x^{2} + 10 x - 1 + - 5 x^{2} - 2 x + 1$
14562	Simplify	square root of 36x^2* fourth root of 81x^8	$\sqrt{36 x^{2}} \cdot \sqrt[4]{81 x^{8}}$
14563	Divide Using Synthetic Division	(x^4-4x^3+x^2+7x-2)÷(x-2)	$(x^{4} - 4 x^{3} + x^{2} + 7 x - 2) \div (x - 2)$
14564	Solve the Function Operation	f(x)=2x^2-7x+6 g(x)=4x+10 Find: g(f(x))	$f (x) = 2 x^{2} - 7 x + 6$ $g (x) = 4 x + 10$ Find: $g (f (x))$
14565	Simplify	(1-cos(2x))(1+cos(2x))	$(1 - \cos (2 x)) (1 + \cos (2 x))$
14566	Solve for n	(8n)/8=8/3	$\frac{8 n}{8} = \frac{8}{3}$
14567	Add	(13n^2+11n-2n^4)+(-13n^2-3n-6n^4)	$(13 n^{2} + 11 n - 2 n^{4}) + (- 13 n^{2} - 3 n - 6 n^{4})$
14568	Evaluate	((x+3)/(x^2-2x-3))÷((x^2+2x-3)/(x+1))	$\frac{x + 3}{x^{2} - 2 x - 3} \div \frac{x^{2} + 2 x - 3}{x + 1}$
14569	Solve for x	(8x)/(2x+1)=6/4	$\frac{8 x}{2 x + 1} = \frac{6}{4}$
14570	Graph	f(x)=tan(2)(x+(3pi)/2)+3	$f (x) = \tan (2) (x + \frac{3 π}{2}) + 3$
14571	Solve for a	3(a+2)+5=2a+4	$3 (a + 2) + 5 = 2 a + 4$
14572	Solve the Inequality for x	-4<(6x-9)/9<4	$- 4 < \frac{6 x - 9}{9} < 4$
14573	Simplify	27x^2-5y^2+(12y^2-14x^2)	$27 x^{2} - 5 y^{2} + (12 y^{2} - 14 x^{2})$
14574	Convert to Radical Form	1/((2x^2+2)^(-1/5))	$\frac{1}{{(2 x^{2} + 2)}^{- \frac{1}{5}}}$
14575	Simplify	((2^-4)÷(2^4))÷(2^-5)	$(2^{- 4} \div 2^{4}) \div 2^{- 5}$
14576	Find dy/dx	x^3y+x^3=-y^2	$x^{3} y + x^{3} = - y^{2}$
14577	Find the Degree	-7y-4z^5-6z^3x^4	$- 7 y - 4 z^{5} - 6 z^{3} x^{4}$
14578	Solve the Inequality for x	8-x>=5(8-x)	$8 - x \geq 5 (8 - x)$
14579	Divide	(18m^2n-4mn^2)/(-2mn)	$\frac{18 m^{2} n - 4 m n^{2}}{- 2 m n}$
14580	Solve for x	1/(5x)-7/(3x)=1	$\frac{1}{5 x} - \frac{7}{3 x} = 1$
14581	Factor	y=x^4-4x^2	$y = x^{4} - 4 x^{2}$
14582	Verify the Identity	cos(x)^2(tan(x)-sec(x))(tan(x)+sec(x))=sin(x)^2-1	$\cos^{2} (x) (\tan (x) - \sec (x)) (\tan (x) + \sec (x)) = \sin^{2} (x) - 1$
14583	Simplify	(-5(x^-2y^-3)^3)/(7(x^-2y^3)^-4)	$\frac{- 5 {(x^{- 2} y^{- 3})}^{3}}{7 {(x^{- 2} y^{3})}^{- 4}}$
14584	Solve Using the Square Root Property	-6(x+4)^2-36=0	$- 6 {(x + 4)}^{2} - 36 = 0$
14585	Simplify	2x^4-2x^2(2x^3)^-1	$2 x^{4} \cdot - 2 x^{2} \cdot {(2 x^{3})}^{- 1}$
14586	Find the Roots (Zeros)	x+y=4	$x + y = 4$
14587	Simplify the Radical Expression	3/(2+ square root of 7)	$\frac{3}{2 + \sqrt{7}}$
14588	Find the Exact Value	cot(-(4pi)/9)	$\cot (- \frac{4 π}{9})$
14589	Graph	1/2x=y^2-4	$\frac{1}{2} x = y^{2} - 4$
14590	Add	Find the sum of -3x^2-4x+3 and 2x^2-x+3	Find the sum of $- 3 x^{2} - 4 x + 3$ and $2 x^{2} - x + 3$
14591	Solve Using the Quadratic Formula	9x^2-4=7x^2-7x	$9 x^{2} - 4 = 7 x^{2} - 7 x$
14592	Find the End Behavior	y=x^2-14x+49	$y = x^{2} - 14 x + 49$
14593	Evaluate the Integral	2pi integral from 0 to 4 of x^3 with respect to x	$2 π \int_{0}^{4} x^{3} d x$
14594	Solve the Rational Equation for x	square root of 2x- square root of 36-2x=6	$\sqrt{2 x} - \sqrt{36 - 2 x} = 6$
14595	Evaluate	3/2(3^-2)	$\frac{3}{2} (3^{- 2})$
14596	Find the Exact Value	3.5+(1+4)*(6.5+1.5)	$3.5 + (1 + 4) \cdot (6.5 + 1.5)$
14597	Solve for x	square root of x^2-2x+1>=4	$\sqrt{x^{2} - 2 x + 1} \geq 4$
14598	Graph	f(x)=cos(-(2x)/3)	$f (x) = \cos (- \frac{2 x}{3})$
14599	Simplify	b square root of 45c^3+4c square root of 20b^2c	$b \sqrt{45 c^{3}} + 4 c \sqrt{20 b^{2} c}$
14600	Simplify the Radical Expression	( cube root of 5)/( cube root of 4x^2)	$\frac{\sqrt[3]{5}}{\sqrt[3]{4 x^{2}}}$