Mathway | Recent Popular Problems

Recent Popular Problems

Rank	Topic	Problem	Formatted Problem
3801	Solve for x	2 1/4(4x-1)=1 3/5(1+4x)	$2 \frac{1}{4} (4 x - 1) = 1 \frac{3}{5} (1 + 4 x)$
3802	Solve for x	(x+8)^2=(x-10)^(5/2)	${(x + 8)}^{2} = {(x - 10)}^{\frac{5}{2}}$
3803	Write in Slope-Intercept Form	x-4y<0	$x - 4 y < 0$
3804	Solve for y	y^3-5y^2=0	$y^{3} - 5 y^{2} = 0$
3805	Simplify the Radical Expression	cube root of 40/5	$\sqrt[3]{\frac{40}{5}}$
3806	Simplify	(3-4i)/5(4/5+(3i)/5)	$\frac{3 - 4 i}{5} (\frac{4}{5} + \frac{3 i}{5})$
3807	Verify the Identity	csc(theta)^2*tan(theta)^2-1=tan(theta)^2	$\csc^{2} (θ) \cdot \tan^{2} (θ) - 1 = \tan^{2} (θ)$
3808	Calculate the Square Root	square root of 0.49x^2y^4	$\sqrt{0.49 x^{2} y^{4}}$
3809	Solve for r	68=3(6r-1)-7(1-3r)	$68 = 3 (6 r - 1) - 7 (1 - 3 r)$
3810	Simplify	(x^3-3x+1)-(x^3+7-12x)	$(x^{3} - 3 x + 1) - (x^{3} + 7 - 12 x)$
3811	Solve the System of Inequalities	n+2<=-5 and n+6>=-6	$n + 2 \leq - 5$ and $n + 6 \geq - 6$
3812	Graph	x^2-x-4<=2	$x^{2} - x - 4 \leq 2$
3813	Solve for g	-15+3g=2g	$- 15 + 3 g = 2 g$
3814	Solve for b	(7^4)/(7^b)=7^-2	$\frac{7^{4}}{7^{b}} = 7^{- 2}$
3815	Simplify	(-15x^6y^5z)/(-3x^5y^3)	$\frac{- 15 x^{6} y^{5} z}{- 3 x^{5} y^{3}}$
3816	Simplify	(4-20x)/(-15x+3)	$\frac{4 - 20 x}{- 15 x + 3}$
3817	Simplify	(4((3-5)^2-2(5/2-6/4)^3)+6(8/12))- square root of 25	$(4 ({(3 - 5)}^{2} - 2 {(\frac{5}{2} - \frac{6}{4})}^{3}) + 6 (\frac{8}{12})) - \sqrt{25}$
3818	Evaluate	-4x^3=32	$- 4 x^{3} = 32$
3819	Simplify	((2^4)/(3^4))^(1/8)	${(\frac{2^{4}}{3^{4}})}^{\frac{1}{8}}$
3820	Simplify	cos(theta)tan(theta)sec(theta)	$\cos (θ) \cdot \tan (θ) \cdot \sec (θ)$
3821	Solve for x	x(2x-1)=2x^2+5x-12	$x (2 x - 1) = 2 x^{2} + 5 x - 12$
3822	Solve for k	49÷k-3=46	$49 \div k - 3 = 46$
3823	Find the Domain	((y^2-49)/((y-7)^2))÷((5y+35)/(y^2-7y))	$\frac{y^{2} - 49}{{(y - 7)}^{2}} \div \frac{5 y + 35}{y^{2} - 7 y}$
3824	Simplify	(3n^0)/(2n)	$\frac{3 n^{0}}{2 n}$
3825	Find the Exact Value	log of 25+( log of 8* log of 16)/( log of 64)	$\log (25) + \frac{\log (8) \cdot \log (16)}{\log (64)}$
3826	Simplify	(-3p^-3q*3p^3q^-4)^2	${(- 3 p^{- 3} q \cdot 3 p^{3} q^{- 4})}^{2}$
3827	Simplify	cube root of 2* fifth root of 2^3	$\sqrt[3]{2} \cdot \sqrt[5]{2^{3}}$
3828	Simplify	square root of (y-6)^8	$\sqrt{{(y - 6)}^{8}}$
3829	Find the Holes in the Graph	(3x^2-6x-24)/(2x^2-8)	$\frac{3 x^{2} - 6 x - 24}{2 x^{2} - 8}$
3830	Graph	y<=1/2x+2 y<=5x	$y \leq \frac{1}{2} x + 2$ $y \leq 5 x$
3831	Simplify	square root of 3* cube root of 27	$\sqrt{3} \cdot \sqrt[3]{27}$
3832	Solve for c	x^2-c=157	$x^{2} - c = 157$
3833	Simplify	(x^2y^3)^-2*(x^5y^4)^-3	${(x^{2} y^{3})}^{- 2} \cdot {(x^{5} y^{4})}^{- 3}$
3834	Find Where Increasing/Decreasing	2x^4-16x^3+36x^2	$2 x^{4} - 16 x^{3} + 36 x^{2}$
3835	Factor	27/125x^6-8y^9	$\frac{27}{125} x^{6} - 8 y^{9}$
3836	Evaluate	(4x^0y^-2z^3)/(4x)	$\frac{4 x^{0} y^{- 2} z^{3}}{4 x}$
3837	Simplify	fourth root of 8* cube root of 32	$\sqrt[4]{8} \cdot \sqrt[3]{32}$
3838	Find the Product	(3xy-1)^3	${(3 x y - 1)}^{3}$
3839	Evaluate the Limit	limit as x approaches 0 of 2/((sin(x))/x)+(1-cos(x))/x+(tan(x))/x	$lim_{x \to 0} \frac{2}{\frac{\sin (x)}{x}} + \frac{1 - \cos (x)}{x} + \frac{\tan (x)}{x}$
3840	Simplify the Radical Expression	3 square root of 3- square root of 27	$3 \sqrt{3} - \sqrt{27}$
3841	Find the Percentage Rate of Change	f(x)=0.75(0.1)^x	$f (x) = 0.75 {(0.1)}^{x}$
3842	Solve for g	-9(-5g+1)=4(9g-9)-9	$- 9 (- 5 g + 1) = 4 (9 g - 9) - 9$
3843	Solve for x	x=2+ square root of x^2-1	$x = 2 + \sqrt{x^{2} - 1}$
3844	Simplify	4x+3x^2-4y-5x+3	$4 x + 3 x^{2} - 4 y - 5 x + 3$
3845	Solve for x	x/(x+1)=5/7	$\frac{x}{x + 1} = \frac{5}{7}$
3846	Find Where Increasing/Decreasing	f(x)=e^(x^2-1)	$f (x) = e^{x^{2} - 1}$
3847	Solve for x	5(3x+9)-2x=15x-2(x-5)	$5 (3 x + 9) - 2 x = 15 x - 2 (x - 5)$
3848	Graph	y>=0 y<=x-5	$y \geq 0$ $y \leq x - 5$
3849	Verify the Identity	sin(t)^2+(cos(t)^2-tan(t)^2)=1-tan(t)^2	$\sin^{2} (t) + (\cos^{2} (t) - \tan^{2} (t)) = 1 - \tan^{2} (t)$
3850	Subtract	(1/3x+1/4)-(1/2x-2/3)	$(\frac{1}{3} x + \frac{1}{4}) - (\frac{1}{2} x - \frac{2}{3})$
3851	Evaluate the Integral	integral of 3(5+x)^2 with respect to x	$\int 3 {(5 + x)}^{2} d x$
3852	Find the Holes in the Graph	(x^2-25)/(x^2-x-20)	$\frac{x^{2} - 25}{x^{2} - x - 20}$
3853	Simplify the Radical Expression	( square root of 72)/( square root of 2)	$\frac{\sqrt{72}}{\sqrt{2}}$
3854	Write in Standard Form	7-y=5x+11	$7 - y = 5 x + 11$
3855	Simplify	(8^-1a^-2b^-3)/(24^-1a^-4b^0)	$\frac{8^{- 1} a^{- 2} b^{- 3}}{24^{- 1} a^{- 4} b^{0}}$
3856	Solve for x	(x^2+2x-3)/(2x^2+x-3)=0	$\frac{x^{2} + 2 x - 3}{2 x^{2} + x - 3} = 0$
3857	Solve the System of Equations	y=x^2-2x+4 y=3x	$y = x^{2} - 2 x + 4$ $y = 3 x$
3858	Factor	8ab^2-5b^2-10c^2+16ac^2	$8 a b^{2} - 5 b^{2} - 10 c^{2} + 16 a c^{2}$
3859	Simplify	3 square root of m+8 square root of m-15 square root of m	$3 \sqrt{m} + 8 \sqrt{m} - 15 \sqrt{m}$
3860	Simplify	y square root of 28x^2y+2 square root of 18xy^3-4 square root of 27x^2y^2	$y \sqrt{28 x^{2} y} + 2 \sqrt{18 x y^{3}} - 4 \sqrt{27 x^{2} y^{2}}$
3861	Evaluate the Integral	integral of (x-5)^2e^x with respect to x	$\int {(x - 5)}^{2} e^{x} d x$
3862	Solve for x	5/(3ab)=x/(12a^2bc^3)	$\frac{5}{3 a b} = \frac{x}{12 a^{2} b c^{3}}$
3863	Solve for n	(n root of a)^n=a	${(\sqrt[n]{a})}^{n} = a$
3864	Integrate Using u-Substitution	integral of 2x square root of x-5 with respect to x	$\int 2 x \sqrt{x - 5} d x$
3865	Solve for X	4X=2X+6	$4 X = 2 X + 6$
3866	Find the Derivative - d/dt	y=(2t-3)/(t+2)	$y = \frac{2 t - 3}{t + 2}$
3867	Evaluate the Limit	limit as x approaches 6 of square root of (x^2-9)/(x-3)	$lim_{x \to 6} \sqrt{\frac{x^{2} - 9}{x - 3}}$
3868	Simplify	cube root of (x^6)/27	$\sqrt[3]{\frac{x^{6}}{27}}$
3869	Multiply	(5 square root of 3+ square root of 15)*(3 square root of 5- square root of 15)	$(5 \sqrt{3} + \sqrt{15}) \cdot (3 \sqrt{5} - \sqrt{15})$
3870	Simplify	(x+y)/(x^-1+y^-1)	$\frac{x + y}{x^{- 1} + y^{- 1}}$
3871	Write in Slope-Intercept Form	9x-7y>0	$9 x - 7 y > 0$
3872	Simplify	(a^3)/(b^-2)*(ab^2)/(a^4)	$\frac{a^{3}}{b^{- 2}} \cdot \frac{a b^{2}}{a^{4}}$
3873	Solve the Inequality for r	8r-(5r+4)>=-31	$8 r - (5 r + 4) \geq - 31$
3874	Solve for z	0.2z-0.09=-0.03z	$0.2 z - 0.09 = - 0.03 z$
3875	Solve for p	m=8-2(p-m)	$m = 8 - 2 (p - m)$
3876	Find the Exact Value	sec(750 degrees )-csc(-300 degrees )	$\sec (750 °) - \csc (- 300 °)$
3877	Simplify	(2xy^3)^0(3xy)	${(2 x y^{3})}^{0} (3 x y)$
3878	Solve the Inequality for r	r-8<=7	$r - 8 \leq 7$
3879	Find the Product	(x+2)(x+2)(x+2)	$(x + 2) (x + 2) (x + 2)$
3880	Evaluate	(2x^4y^-3)^-1	${(2 x^{4} y^{- 3})}^{- 1}$
3881	Solve the System of Equations	y=7/4x-3 y=x	$y = \frac{7}{4} x - 3$ $y = x$
3882	Solve for x	square root of x-4 = square root of 2x+9	$\sqrt{x - 4} = \sqrt{2 x + 9}$
3883	Solve for x	0.20=(x^2)/(65-x)	$0.2 = \frac{x^{2}}{65 - x}$
3884	Solve the System of Equations	y=5/2x+4 y=1/2x	$y = \frac{5}{2} x + 4$ $y = \frac{1}{2} x$
3885	Find the Roots (Zeros)	square root of x-1+4=0	$\sqrt{x - 1} + 4 = 0$
3886	Integrate Using u-Substitution	integral from 5 to 8 of 1/(x square root of x^2-16) with respect to x	$\int_{5}^{8} \frac{1}{x \sqrt{x^{2} - 16}} d x$
3887	Solve for n	2n+3+3n=n+11	$2 n + 3 + 3 n = n + 11$
3888	Solve for a	2/10=4/(a-3)	$\frac{2}{10} = \frac{4}{a - 3}$
3889	Simplify	(21x+6)*(10x-50)/(21x+6)	$(21 x + 6) \cdot \frac{10 x - 50}{21 x + 6}$
3890	Simplify	sin(theta)^2cot(theta)csc(theta)	$\sin^{2} (θ) \cdot \cot (θ) \cdot \csc (θ)$
3891	Write as a Single Logarithm	15(1/3 log of x+y-1/5 log of x-y)	$15 (\frac{1}{3} \log (x + y) - \frac{1}{5} \log (x - y))$
3892	Simplify	12(a/3-b/4)+2a-6b	$12 (\frac{a}{3} - \frac{b}{4}) + 2 a - 6 b$
3893	Divide	( fourth root of 12x^3)/( fourth root of 3x^2)	$\frac{\sqrt[4]{12 x^{3}}}{\sqrt[4]{3 x^{2}}}$
3894	Find the Slope and y-intercept	f(x)=x	$f (x) = x$
3895	Solve for x	8+(3x)/7=x	$8 + \frac{3 x}{7} = x$
3896	Solve for x	5/2x+(x-4)/2=11	$\frac{5}{2} x + \frac{x - 4}{2} = 11$
3897	Simplify	-yx^2z^3(4y^0z)^2	$- y x^{2} z^{3} {(4 y^{0} z)}^{2}$
3898	Find the Antiderivative	(x^3)/(x^4+1)	$\frac{x^{3}}{x^{4} + 1}$
3899	Solve for x	(1/1024)^(x+9)=(1/256)^(-5x+5)	${(\frac{1}{1024})}^{x + 9} = {(\frac{1}{256})}^{- 5 x + 5}$
3900	Determine if Linear	5x-2+3x=y	$5 x - 2 + 3 x = y$