Mathway | Popular Problems

Popular Problems

Rank	Topic	Problem	Formatted Problem
208901	Solve for x	3(x-5)=2(x-5)+x	$3 (x - 5) = 2 (x - 5) + x$
208902	Simplify	-9i^116-7i^28-7i^95+10i^24	$- 9 i^{116} - 7 i^{28} - 7 i^{95} + 10 i^{24}$
208903	Solve for x	2x^2+2x-12+x^2-9=5	$2 x^{2} + 2 x - 12 + x^{2} - 9 = 5$
208904	Simplify	3/4+2/3(9x+6)+4x+3 1/4	$\frac{3}{4} + \frac{2}{3} (9 x + 6) + 4 x + 3 \frac{1}{4}$
208905	Solve for x	17/((x-3)(x+4))-1/(x-3)=x/(x+4)	$\frac{17}{(x - 3) (x + 4)} - \frac{1}{x - 3} = \frac{x}{x + 4}$
208906	Find the Degree, Leading Term, and Leading Coefficient	-1+(x^2)/6	$- 1 + \frac{x^{2}}{6}$
208907	Solve for c	square root of 4z+9=cz+8	$\sqrt{4 z + 9} = c z + 8$
208908	Find the Exact Value	cos(90 degrees )+tan(45 degrees )	$\cos (90 °) + \tan (45 °)$
208909	Simplify	(b+11)*2b	$(b + 11) \cdot 2 b$
208910	Simplify	-6/(x^2-16)(x+2)/(x^2-2x-8)(16-x^2)/(9x)	$\frac{- 6}{x^{2} - 16} \cdot \frac{x + 2}{x^{2} - 2 x - 8} \cdot \frac{16 - x^{2}}{9 x}$
208911	Simplify	(csc(x)+cot(x))(1-cos(x))	$(\csc (x) + \cot (x)) (1 - \cos (x))$
208912	Solve for c	a=-bcd	$a = - b c d$
208913	Simplify	fourth root of 256x* cube root of 125x^2	$\sqrt[4]{256 x} \cdot \sqrt[3]{125 x^{2}}$
208914	Solve for x	log base 2 of x^2+1- log base 2 of x+7=0	$\log_{2} (x^{2} + 1) - \log_{2} (x + 7) = 0$
208915	Simplify	15 square root of 3+ square root of 5-2 square root of 3	$15 \sqrt{3} + \sqrt{5} - 2 \sqrt{3}$
208916	Simplify the Radical Expression	(5 square root of 15)/(2 square root of 5)	$\frac{5 \sqrt{15}}{2 \sqrt{5}}$
208917	Solve the Inequality for x	2(x-3)<=3+2x	$2 (x - 3) \leq 3 + 2 x$
208918	Solve for m	3- fourth root of m=0	$3 - \sqrt[4]{m} = 0$
208919	Solve for x	x^3+7x^2=-10x	$x^{3} + 7 x^{2} = - 10 x$
208920	Solve for x	3sec(x)^2-2tan(x)^2-4=0	$3 \sec^{2} (x) - 2 \tan^{2} (x) - 4 = 0$
208921	Subtract	(2a^2b^2+3ab^2-5a^2b)-(3a^2b^2-9a^2b+7ab^2)	$(2 a^{2} b^{2} + 3 a b^{2} - 5 a^{2} b) - (3 a^{2} b^{2} - 9 a^{2} b + 7 a b^{2})$
208922	Write the Fraction in Simplest Form	(5(m^-2)^3)/(20m^9)	$\frac{5 {(m^{- 2})}^{3}}{20 m^{9}}$
208923	Simplify	(((x+y)^-2)/(y^-3))/((x^3y^-2(x+y)^-1)/(x^-2))	$\frac{\frac{{(x + y)}^{- 2}}{y^{- 3}}}{\frac{x^{3} y^{- 2} {(x + y)}^{- 1}}{x^{- 2}}}$
208924	Simplify	(2^-7*2^6)/(2^0)	$\frac{2^{- 7} \cdot 2^{6}}{2^{0}}$
208925	Simplify	csc(s(cos(s)+sin(s)))	$\csc (s (\cos (s) + \sin (s)))$
208926	Solve for x	x^2-3x-2=\|x-1\|	$x^{2} - 3 x - 2 = \| x - 1 \|$
208927	Write in Standard Form	a(4a+3)	$a (4 a + 3)$
208928	Simplify the Radical Expression	(5 square root of 5-2)( square root of 5-1)	$(5 \sqrt{5} - 2) (\sqrt{5} - 1)$
208929	Graph	y=4sin(1/2)(x-pi/2)+5	$y = 4 \sin (\frac{1}{2}) (x - \frac{π}{2}) + 5$
208930	Evaluate	1/2*4^-2	$\frac{1}{2} \cdot 4^{- 2}$
208931	Find the Degree, Leading Term, and Leading Coefficient	g(t)=5t^5-2t^3+7t	$g (t) = 5 t^{5} - 2 t^{3} + 7 t$
208932	Evaluate	log of 10 square root of 1000	$\log (10 \sqrt{1000})$
208933	Multiply	11x^3*7x^(7/3)	$11 x^{3} \cdot 7 x^{\frac{7}{3}}$
208934	Simplify	-24y^4+(2x^0y^2)^2	$- 24 y^{4} + {(2 x^{0} y^{2})}^{2}$
208935	Simplify	3x+5-2x-5x+9+8x	$3 x + 5 - 2 x - 5 x + 9 + 8 x$
208936	Simplify	14bc+6b-4c+8b-8c+8bc	$14 b c + 6 b - 4 c + 8 b - 8 c + 8 b c$
208937	Divide	(6 square root of 18)÷12 square root of 40	$6 \sqrt{18} \div 12 \sqrt{40}$
208938	Simplify	3^-1*3^0	$3^{- 1} \cdot 3^{0}$
208939	Evaluate	75% of 40	$75 %$ of $40$
208940	Solve for x	log base a of x=2 log base a of 3+ log base a of 5	$\log_{a} (x) = 2 \log_{a} (3) + \log_{a} (5)$
208941	Evaluate	1+x+(x^2)/(1-x)=1/(1-x)	$1 + x + \frac{x^{2}}{1 - x} = \frac{1}{1 - x}$
208942	Simplify	2/3(6-3/2)	$\frac{2}{3} (6 - \frac{3}{2})$
208943	Find the Product	log base 3 of 5* log base 2 of 3* log base 5 of 16	$\log_{3} (5) \cdot \log_{2} (3) \cdot \log_{5} (16)$
208944	Graph	y=1/5x^5-2x^3+9/5x	$y = \frac{1}{5} x^{5} - 2 x^{3} + \frac{9}{5} x$
208945	Graph	3y-9<=6x	$3 y - 9 \leq 6 x$
208946	Evaluate	1(1+1/365)^365	$1 {(1 + \frac{1}{365})}^{365}$
208947	Solve for x	5/3(4x-5)=4x-1/3	$\frac{5}{3} (4 x - 5) = 4 x - \frac{1}{3}$
208948	Evaluate	2sin(pi/3)-3tan(pi/6)	$2 \sin (\frac{π}{3}) - 3 \tan (\frac{π}{6})$
208949	Simplify	5r^3*2r^(1/2)	$5 r^{3} \cdot 2 r^{\frac{1}{2}}$
208950	Simplify	(6 cube root of x^7y^5)÷2 cube root of xy^2	$6 \sqrt[3]{x^{7} y^{5}} \div 2 \sqrt[3]{x y^{2}}$
208951	Simplify	((4^2x^-2)/(10y^0))	$(\frac{4^{2} x^{- 2}}{10 y^{0}})$
208952	Solve for x	176=-15(x-11)	$176 = - 15 (x - 11)$
208953	Find the Roots (Zeros)	y=(-x-1)^2+3	$y = {(- x - 1)}^{2} + 3$
208954	Multiply	(a^2-6a)/(a-6)*(a+3)/a	$\frac{a^{2} - 6 a}{a - 6} \cdot \frac{a + 3}{a}$
208955	Solve for x	\|x+1\|+\|3x-2\|=2	$\| x + 1 \| + \| 3 x - 2 \| = 2$
208956	Determine if True	tan(theta)+cot(theta)=csc(theta)sec(theta)	$\tan (θ) + \cot (θ) = \csc (θ) \sec (θ)$
208957	Simplify	cube root of 27x^12* fourth root of 81x^11	$\sqrt[3]{27 x^{12}} \cdot \sqrt[4]{81 x^{11}}$
208958	Graph	cos(theta)<0 and tan(theta)<0	$\cos (θ) < 0$ and $\tan (θ) < 0$
208959	Simplify	(4(x+6))/(x-2)*(x+10)/(24(x+6))	$\frac{4 (x + 6)}{(x - 2)} \cdot \frac{(x + 10)}{24 (x + 6)}$
208960	Graph	-x^2+y>=-3	$- x^{2} + y \geq - 3$
208961	Factor	x^2+(-7x)+(-8)	$x^{2} + (- 7 x) + (- 8)$
208962	Convert to Interval Notation	square root of 4x^2-12x+9<=9	$\sqrt{4 x^{2} - 12 x + 9} \leq 9$
208963	Solve for m	m+1/3<-2 1/4	$m + \frac{1}{3} < - 2 \frac{1}{4}$
208964	Find the Equation with a Point and Slope	What is the equation of the line that passes through the point (-5,3) and has a slope of -6/5 ?	What is the equation of the line that passes through the point $(- 5, 3)$ and has a slope of $- \frac{6}{5}$ ?
208965	Simplify	1/2 square root of 4x-1/3 square root of 9x+1/4 square root of 64	$\frac{1}{2} \sqrt{4 x} - \frac{1}{3} \sqrt{9 x} + \frac{1}{4} \sqrt{64}$
208966	Simplify	( square root of 4x^4)/( square root of x^4)	$\frac{\sqrt{4 x^{4}}}{\sqrt{x^{4}}}$
208967	Solve for x	5^x+125/(5^x)=30	$5^{x} + \frac{125}{5^{x}} = 30$
208968	Graph	y=x^2 and y=x^2-2	$y = x^{2}$ and $y = x^{2} - 2$
208969	Solve for m	2 log of m-1+ log of 2 = log of 2m^2-1	$2 \log (m - 1) + \log (2) = \log (2 m^{2} - 1)$
208970	Simplify	(m^(2/3)*m^(-1/2))/(m^(1/6))	$\frac{m^{\frac{2}{3}} \cdot m^{- \frac{1}{2}}}{m^{\frac{1}{6}}}$
208971	Find the Domain and Range	h(x)=tan(x-pi/2)	$h (x) = \tan (x - \frac{π}{2})$
208972	Find the Exact Value	sin(1/(2/(3pi)))	$\sin (\frac{1}{\frac{2}{3 π}})$
208973	Find the Domain and Range	f(x)=(3/2)^(-x)-7	$f (x) = {(\frac{3}{2})}^{- x} - 7$
208974	Solve for x	7x^(12/7)-448x^(6/7)=0	$7 x^{\frac{12}{7}} - 448 x^{\frac{6}{7}} = 0$
208975	Simplify	y cube root of 750x^3y^7	$y \sqrt[3]{750 x^{3} y^{7}}$
208976	Simplify	((x^2y)/(xy^2))^3	${(\frac{x^{2} y}{x y^{2}})}^{3}$
208977	Simplify	2^3-12÷6-1	$2^{3} - 12 \div 6 - 1$
208978	Find the Distance Between Two Points	What is the distance between the points (-2,5) and (2,8) ?	What is the distance between the points $(- 2, 5)$ and $(2, 8)$ ?
208979	Solve for x	-2(x+4)+6=1/2(x-6)+1	$- 2 (x + 4) + 6 = \frac{1}{2} (x - 6) + 1$
208980	Solve the Inequality for b	b-20<=-10	$b - 20 \leq - 10$
208981	Divide	(3x^2-2xy)/(2x)	$\frac{3 x^{2} - 2 x y}{2 x}$
208982	Multiply	4/33.141^3	$\frac{4}{3} \cdot 3.14 \cdot 1^{3}$
208983	Evaluate	(f(-6))/(f(6))	$\frac{f (- 6)}{f (6)}$
208984	Simplify the Radical Expression	( fourth root of 16)/( fourth root of 81)	$\frac{\sqrt[4]{16}}{\sqrt[4]{81}}$
208985	Graph	2x+3y>=4 and 2x-y<5	$2 x + 3 y \geq 4$ and $2 x - y < 5$
208986	Simplify	x+8+4x-3x-4	$x + 8 + 4 x - 3 x - 4$
208987	Solve for x	3(2x-14)+x=15-(-9x-5)	$3 (2 x - 14) + x = 15 - (- 9 x - 5)$
208988	Find the Roots (Zeros)	M(s)=-5(s-4)(s-2)(s+1)(s+3)(s+5)	$M (s) = - 5 (s - 4) (s - 2) (s + 1) (s + 3) (s + 5)$
208989	Solve for x	(x^2-5)/(x-1)=(7x+10)/9	$\frac{x^{2} - 5}{x - 1} = \frac{7 x + 10}{9}$
208990	Simplify the Radical Expression	(4+3 square root of 5)*(-2+ square root of 5)	$(4 + 3 \sqrt{5}) \cdot (- 2 + \sqrt{5})$
208991	Simplify	10 square root of 28+ cube root of -56-4 square root of 175	$10 \sqrt{28} + \sqrt[3]{- 56} - 4 \sqrt{175}$
208992	Solve for x	(2x)/(x^2+3x)-2/(x+3)=2/x	$\frac{2 x}{x^{2} + 3 x} - \frac{2}{x + 3} = \frac{2}{x}$
208993	Evaluate	2x-1<x-8	$2 x - 1 < x - 8$
208994	Graph	y<=-x+4 -4x+4y<=16	$y \leq - x + 4$ $- 4 x + 4 y \leq 16$
208995	Solve for x	square root of x+4 = square root of 3x	$\sqrt{x + 4} = \sqrt{3 x}$
208996	Simplify	(3z)(3x^3y^5z^2)^3(x^6yz)^2	$(3 z) {(3 x^{3} y^{5} z^{2})}^{3} {(x^{6} y z)}^{2}$
208997	Find the Domain and Range	f(x)=-2x^(1/4)	$f (x) = - 2 x^{\frac{1}{4}}$
208998	Write in Standard Form	(2x^2-x-2)(x^2-2x+4)	$(2 x^{2} - x - 2) (x^{2} - 2 x + 4)$
208999	Solve for c	0.24+0.5c=-0.05+0.8c+0.02	$0.24 + 0.5 c = - 0.05 + 0.8 c + 0.02$
209000	Simplify	(-c^5h^6)^4	${(- c^{5} h^{6})}^{4}$