Mathway | Popular Problems

Popular Problems

Rank	Topic	Problem	Formatted Problem
208901	Divide	Divide x+1 into x^2+2x+3	Divide $x + 1$ into $x^{2} + 2 x + 3$
208902	Simplify	cube root of (432n^12)/(64q^6)	$\sqrt[3]{\frac{432 n^{12}}{64 q^{6}}}$
208903	Simplify the Radical Expression	(3-2 square root of k)^2	${(3 - 2 \sqrt{k})}^{2}$
208904	Simplify	(4-5i)-(-2i-8)+(-1+8i)	$(4 - 5 i) - (- 2 i - 8) + (- 1 + 8 i)$
208905	Solve for x	( square root of 2x)/5+3=5	$\frac{\sqrt{2 x}}{5} + 3 = 5$
208906	Simplify	square root of 16(x+5)^2	$\sqrt{16 {(x + 5)}^{2}}$
208907	Factor	2(x+1)(x-1)^-1-(x+1)^2(x-1)^-2+3(x+1)(x-1)^-2	$2 (x + 1) {(x - 1)}^{- 1} - {(x + 1)}^{2} {(x - 1)}^{- 2} + 3 (x + 1) {(x - 1)}^{- 2}$
208908	Solve the Inequality for z	8-z/3>=11	$8 - \frac{z}{3} \geq 11$
208909	Simplify	((x^2-9)(x^2-z^2))/(4(x+z)(x-3))	$\frac{(x^{2} - 9) (x^{2} - z^{2})}{4 (x + z) (x - 3)}$
208910	Simplify the Radical Expression	square root of (x^24)/9	$\sqrt{\frac{x^{24}}{9}}$
208911	Solve for x	e^(x-1)=0	$e^{x - 1} = 0$
208912	Divide Using Long Polynomial Division	(8x^3+5x^2+3x-1)÷2x	$(8 x^{3} + 5 x^{2} + 3 x - 1) \div 2 x$
208913	Combine Like Terms	11k+2j+5h-10k-j	$11 k + 2 j + 5 h - 10 k - j$
208914	Solve for x	4/(2x+1)+1/(4x^2-1)=3	$\frac{4}{2 x + 1} + \frac{1}{4 x^{2} - 1} = 3$
208915	Find the Holes in the Graph	y=(x^2-4)/(x^2+4)	$y = \frac{x^{2} - 4}{x^{2} + 4}$
208916	Solve for x	3(x-5)=2(x-5)+x	$3 (x - 5) = 2 (x - 5) + x$
208917	Simplify	-9i^116-7i^28-7i^95+10i^24	$- 9 i^{116} - 7 i^{28} - 7 i^{95} + 10 i^{24}$
208918	Solve for x	2x^2+2x-12+x^2-9=5	$2 x^{2} + 2 x - 12 + x^{2} - 9 = 5$
208919	Simplify	3/4+2/3(9x+6)+4x+3 1/4	$\frac{3}{4} + \frac{2}{3} (9 x + 6) + 4 x + 3 \frac{1}{4}$
208920	Solve for x	17/((x-3)(x+4))-1/(x-3)=x/(x+4)	$\frac{17}{(x - 3) (x + 4)} - \frac{1}{x - 3} = \frac{x}{x + 4}$
208921	Find the Degree, Leading Term, and Leading Coefficient	-1+(x^2)/6	$- 1 + \frac{x^{2}}{6}$
208922	Solve for c	square root of 4z+9=cz+8	$\sqrt{4 z + 9} = c z + 8$
208923	Find the Exact Value	cos(90 degrees )+tan(45 degrees )	$\cos (90 °) + \tan (45 °)$
208924	Simplify	(b+11)*2b	$(b + 11) \cdot 2 b$
208925	Simplify	-6/(x^2-16)(x+2)/(x^2-2x-8)(16-x^2)/(9x)	$\frac{- 6}{x^{2} - 16} \cdot \frac{x + 2}{x^{2} - 2 x - 8} \cdot \frac{16 - x^{2}}{9 x}$
208926	Simplify	(csc(x)+cot(x))(1-cos(x))	$(\csc (x) + \cot (x)) (1 - \cos (x))$
208927	Solve for c	a=-bcd	$a = - b c d$
208928	Simplify	fourth root of 256x* cube root of 125x^2	$\sqrt[4]{256 x} \cdot \sqrt[3]{125 x^{2}}$
208929	Solve for x	log base 2 of x^2+1- log base 2 of x+7=0	$\log_{2} (x^{2} + 1) - \log_{2} (x + 7) = 0$
208930	Simplify	15 square root of 3+ square root of 5-2 square root of 3	$15 \sqrt{3} + \sqrt{5} - 2 \sqrt{3}$
208931	Simplify the Radical Expression	(5 square root of 15)/(2 square root of 5)	$\frac{5 \sqrt{15}}{2 \sqrt{5}}$
208932	Solve the Inequality for x	2(x-3)<=3+2x	$2 (x - 3) \leq 3 + 2 x$
208933	Solve for m	3- fourth root of m=0	$3 - \sqrt[4]{m} = 0$
208934	Solve for x	x^3+7x^2=-10x	$x^{3} + 7 x^{2} = - 10 x$
208935	Solve for x	3sec(x)^2-2tan(x)^2-4=0	$3 \sec^{2} (x) - 2 \tan^{2} (x) - 4 = 0$
208936	Subtract	(2a^2b^2+3ab^2-5a^2b)-(3a^2b^2-9a^2b+7ab^2)	$(2 a^{2} b^{2} + 3 a b^{2} - 5 a^{2} b) - (3 a^{2} b^{2} - 9 a^{2} b + 7 a b^{2})$
208937	Write the Fraction in Simplest Form	(5(m^-2)^3)/(20m^9)	$\frac{5 {(m^{- 2})}^{3}}{20 m^{9}}$
208938	Simplify	(((x+y)^-2)/(y^-3))/((x^3y^-2(x+y)^-1)/(x^-2))	$\frac{\frac{{(x + y)}^{- 2}}{y^{- 3}}}{\frac{x^{3} y^{- 2} {(x + y)}^{- 1}}{x^{- 2}}}$
208939	Simplify	(2^-7*2^6)/(2^0)	$\frac{2^{- 7} \cdot 2^{6}}{2^{0}}$
208940	Simplify	csc(s(cos(s)+sin(s)))	$\csc (s (\cos (s) + \sin (s)))$
208941	Solve for x	x^2-3x-2=\|x-1\|	$x^{2} - 3 x - 2 = \| x - 1 \|$
208942	Write in Standard Form	a(4a+3)	$a (4 a + 3)$
208943	Simplify the Radical Expression	(5 square root of 5-2)( square root of 5-1)	$(5 \sqrt{5} - 2) (\sqrt{5} - 1)$
208944	Graph	y=4sin(1/2)(x-pi/2)+5	$y = 4 \sin (\frac{1}{2}) (x - \frac{π}{2}) + 5$
208945	Evaluate	1/2*4^-2	$\frac{1}{2} \cdot 4^{- 2}$
208946	Find the Degree, Leading Term, and Leading Coefficient	g(t)=5t^5-2t^3+7t	$g (t) = 5 t^{5} - 2 t^{3} + 7 t$
208947	Evaluate	log of 10 square root of 1000	$\log (10 \sqrt{1000})$
208948	Multiply	11x^3*7x^(7/3)	$11 x^{3} \cdot 7 x^{\frac{7}{3}}$
208949	Simplify	-24y^4+(2x^0y^2)^2	$- 24 y^{4} + {(2 x^{0} y^{2})}^{2}$
208950	Simplify	3x+5-2x-5x+9+8x	$3 x + 5 - 2 x - 5 x + 9 + 8 x$
208951	Simplify	14bc+6b-4c+8b-8c+8bc	$14 b c + 6 b - 4 c + 8 b - 8 c + 8 b c$
208952	Divide	(6 square root of 18)÷12 square root of 40	$6 \sqrt{18} \div 12 \sqrt{40}$
208953	Simplify	3^-1*3^0	$3^{- 1} \cdot 3^{0}$
208954	Evaluate	75% of 40	$75 %$ of $40$
208955	Solve for x	log base a of x=2 log base a of 3+ log base a of 5	$\log_{a} (x) = 2 \log_{a} (3) + \log_{a} (5)$
208956	Evaluate	1+x+(x^2)/(1-x)=1/(1-x)	$1 + x + \frac{x^{2}}{1 - x} = \frac{1}{1 - x}$
208957	Simplify	2/3(6-3/2)	$\frac{2}{3} (6 - \frac{3}{2})$
208958	Find the Product	log base 3 of 5* log base 2 of 3* log base 5 of 16	$\log_{3} (5) \cdot \log_{2} (3) \cdot \log_{5} (16)$
208959	Graph	y=1/5x^5-2x^3+9/5x	$y = \frac{1}{5} x^{5} - 2 x^{3} + \frac{9}{5} x$
208960	Graph	3y-9<=6x	$3 y - 9 \leq 6 x$
208961	Evaluate	1(1+1/365)^365	$1 {(1 + \frac{1}{365})}^{365}$
208962	Solve for x	5/3(4x-5)=4x-1/3	$\frac{5}{3} (4 x - 5) = 4 x - \frac{1}{3}$
208963	Evaluate	2sin(pi/3)-3tan(pi/6)	$2 \sin (\frac{π}{3}) - 3 \tan (\frac{π}{6})$
208964	Simplify	5r^3*2r^(1/2)	$5 r^{3} \cdot 2 r^{\frac{1}{2}}$
208965	Simplify	(6 cube root of x^7y^5)÷2 cube root of xy^2	$6 \sqrt[3]{x^{7} y^{5}} \div 2 \sqrt[3]{x y^{2}}$
208966	Simplify	((4^2x^-2)/(10y^0))	$(\frac{4^{2} x^{- 2}}{10 y^{0}})$
208967	Solve for x	176=-15(x-11)	$176 = - 15 (x - 11)$
208968	Find the Roots (Zeros)	y=(-x-1)^2+3	$y = {(- x - 1)}^{2} + 3$
208969	Multiply	(a^2-6a)/(a-6)*(a+3)/a	$\frac{a^{2} - 6 a}{a - 6} \cdot \frac{a + 3}{a}$
208970	Solve for x	\|x+1\|+\|3x-2\|=2	$\| x + 1 \| + \| 3 x - 2 \| = 2$
208971	Determine if True	tan(theta)+cot(theta)=csc(theta)sec(theta)	$\tan (θ) + \cot (θ) = \csc (θ) \sec (θ)$
208972	Simplify	cube root of 27x^12* fourth root of 81x^11	$\sqrt[3]{27 x^{12}} \cdot \sqrt[4]{81 x^{11}}$
208973	Graph	cos(theta)<0 and tan(theta)<0	$\cos (θ) < 0$ and $\tan (θ) < 0$
208974	Simplify	(4(x+6))/(x-2)*(x+10)/(24(x+6))	$\frac{4 (x + 6)}{(x - 2)} \cdot \frac{(x + 10)}{24 (x + 6)}$
208975	Graph	-x^2+y>=-3	$- x^{2} + y \geq - 3$
208976	Factor	x^2+(-7x)+(-8)	$x^{2} + (- 7 x) + (- 8)$
208977	Convert to Interval Notation	square root of 4x^2-12x+9<=9	$\sqrt{4 x^{2} - 12 x + 9} \leq 9$
208978	Solve for m	m+1/3<-2 1/4	$m + \frac{1}{3} < - 2 \frac{1}{4}$
208979	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 $- \frac{6}{5}$ ?
208980	Simplify	1/2 square root of 4x-1/3 square root of 9x+1/4 square root of 64	$\frac{1}{2} \sqrt{4 x} - \frac{1}{3} \sqrt{9 x} + \frac{1}{4} \sqrt{64}$
208981	Simplify	( square root of 4x^4)/( square root of x^4)	$\frac{\sqrt{4 x^{4}}}{\sqrt{x^{4}}}$
208982	Solve for x	5^x+125/(5^x)=30	$5^{x} + \frac{125}{5^{x}} = 30$
208983	Graph	y=x^2 and y=x^2-2	$y = x^{2}$ and $y = x^{2} - 2$
208984	Solve for m	2 log of m-1+ log of 2 = log of 2m^2-1	$2 \log (m - 1) + \log (2) = \log (2 m^{2} - 1)$
208985	Simplify	(m^(2/3)*m^(-1/2))/(m^(1/6))	$\frac{m^{\frac{2}{3}} \cdot m^{- \frac{1}{2}}}{m^{\frac{1}{6}}}$
208986	Find the Domain and Range	h(x)=tan(x-pi/2)	$h (x) = \tan (x - \frac{π}{2})$
208987	Find the Exact Value	sin(1/(2/(3pi)))	$\sin (\frac{1}{\frac{2}{3 π}})$
208988	Find the Domain and Range	f(x)=(3/2)^(-x)-7	$f (x) = {(\frac{3}{2})}^{- x} - 7$
208989	Solve for x	7x^(12/7)-448x^(6/7)=0	$7 x^{\frac{12}{7}} - 448 x^{\frac{6}{7}} = 0$
208990	Simplify	y cube root of 750x^3y^7	$y \sqrt[3]{750 x^{3} y^{7}}$
208991	Simplify	((x^2y)/(xy^2))^3	${(\frac{x^{2} y}{x y^{2}})}^{3}$
208992	Simplify	2^3-12÷6-1	$2^{3} - 12 \div 6 - 1$
208993	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 $(2, 8)$ ?
208994	Solve for x	-2(x+4)+6=1/2(x-6)+1	$- 2 (x + 4) + 6 = \frac{1}{2} (x - 6) + 1$
208995	Solve the Inequality for b	b-20<=-10	$b - 20 \leq - 10$
208996	Divide	(3x^2-2xy)/(2x)	$\frac{3 x^{2} - 2 x y}{2 x}$
208997	Multiply	4/33.141^3	$\frac{4}{3} \cdot 3.14 \cdot 1^{3}$
208998	Evaluate	(f(-6))/(f(6))	$\frac{f (- 6)}{f (6)}$
208999	Simplify the Radical Expression	( fourth root of 16)/( fourth root of 81)	$\frac{\sqrt[4]{16}}{\sqrt[4]{81}}$
209000	Graph	2x+3y>=4 and 2x-y<5	$2 x + 3 y \geq 4$ and $2 x - y < 5$