Mathway | Popular Problems

Popular Problems

Rank	Topic	Problem	Formatted Problem
205401	Solve the Inequality for a	-a/5<-14	$- \frac{a}{5} < - 14$
205402	Solve for B	4=(2pi)/B	$4 = \frac{2 π}{B}$
205403	Solve for h	v = square root of 2gr square root of h/(r+h)	$v = \sqrt{2 g r} \sqrt{\frac{h}{r + h}}$
205404	Simplify	Find the sum of -3x^2-x-10 and 10x^2+x-10	Find the sum of $- 3 x^{2} - x - 10$ and $10 x^{2} + x - 10$
205405	Solve for x	2x+3(x-2)=6(x+1)+x	$2 x + 3 (x - 2) = 6 (x + 1) + x$
205406	Solve for x	1/3x-1/4(x-4)=4x	$\frac{1}{3} x - \frac{1}{4} (x - 4) = 4 x$
205407	Solve for x	( square root of 20-x)^3=343	${(\sqrt{20 - x})}^{3} = 343$
205408	Simplify the Radical Expression	square root of square root of 16	$\sqrt{\sqrt{16}}$
205409	Solve for x	3^(5x-1)<=27^(x+3)	$3^{5 x - 1} \leq 27^{x + 3}$
205410	Simplify	2r square root of 49s^5t^10	$2 r \sqrt{49 s^{5} t^{10}}$
205411	Simplify	(x^2y^3z^5)(5x^3y^2)	$(x^{2} y^{3} z^{5}) (5 x^{3} y^{2})$
205412	Simplify	6x-4x^2-7x^3+9x^2-5x	$6 x - 4 x^{2} - 7 x^{3} + 9 x^{2} - 5 x$
205413	Solve for m	2m^2+10=0	$2 m^{2} + 10 = 0$
205414	Evaluate	5*2^(-3t)=45	$5 \cdot 2^{- 3 t} = 45$
205415	Solve for x	1-3/(1-x)=(x+5)/(x^2-1)	$1 - \frac{3}{1 - x} = \frac{x + 5}{x^{2} - 1}$
205416	Evaluate	(5/8+3/4)/(-2/3-5/6)	$\frac{\frac{5}{8} + \frac{3}{4}}{- \frac{2}{3} - \frac{5}{6}}$
205417	Graph	-16>x÷2	$- 16 > x \div 2$
205418	Simplify	4/(5y)15/2(30y)/6	$\frac{4}{5 y} \cdot \frac{15}{2} \cdot \frac{30 y}{6}$
205419	Evaluate	10*2^-2	$10 \cdot 2^{- 2}$
205420	Solve for x	(x-3)/(2x)=(x-5)/x	$\frac{x - 3}{2 x} = \frac{x - 5}{x}$
205421	Simplify the Radical Expression	square root of cube root of 16	$\sqrt{\sqrt[3]{16}}$
205422	Evaluate	(4((6-4)^2-3(1/3-4/5))+2)- square root of 49	$(4 ({(6 - 4)}^{2} - 3 (\frac{1}{3} - \frac{4}{5})) + 2) - \sqrt{49}$
205423	Graph	y>x-4 y<=-1/4x+2	$y > x - 4$ $y \leq - \frac{1}{4} x + 2$
205424	Solve for x	3x^2=-4+8x	$3 x^{2} = - 4 + 8 x$
205425	Evaluate	log base 1/6 of 1/1296=y	$\log_{\frac{1}{6}} (\frac{1}{1296}) = y$
205426	Solve for y	2(y+5)=x	$2 (y + 5) = x$
205427	Simplify	(2x^2+1)+(x^2-2x+1)	$(2 x^{2} + 1) + (x^{2} - 2 x + 1)$
205428	Simplify	2/(x+3)-3/(x^2-9)	$\frac{2}{x + 3} - \frac{3}{x^{2} - 9}$
205429	Graph	2x+y>=0	$2 x + y \geq 0$
205430	Find the Degree, Leading Term, and Leading Coefficient	f(x)=8x^4-2x^3	$f (x) = 8 x^{4} - 2 x^{3}$
205431	Simplify	-7xy^-2*xy	$- 7 x y^{- 2} \cdot x y$
205432	Evaluate	3(1/2)^1	$3 {(\frac{1}{2})}^{1}$
205433	Simplify	m/(4v^3)-5/(6mv)	$\frac{m}{4 v^{3}} - \frac{5}{6 m v}$
205434	Simplify	(-15)(x/2.5)(1/2)	$(- 15) (\frac{x}{2.5}) (\frac{1}{2})$
205435	Simplify	y^2 cube root of 750x^10y^10	$y^{2} \sqrt[3]{750 x^{10} y^{10}}$
205436	Factor	2a^2b-5/2ab^2+7/12ab^2+5/6a^2b	$2 a^{2} b - \frac{5}{2} a b^{2} + \frac{7}{12} a b^{2} + \frac{5}{6} a^{2} b$
205437	Evaluate	-2^-1-2^0-2^-2	$- 2^{- 1} - 2^{0} - 2^{- 2}$
205438	Solve for x	1+ square root of x+2=0	$1 + \sqrt{x + 2} = 0$
205439	Solve for y	(4y)^(1/3)+3=5	${(4 y)}^{\frac{1}{3}} + 3 = 5$
205440	Solve for x	e^(3x+4)>11	$e^{3 x + 4} > 11$
205441	Factor	2mk-12m+42-7k	$2 m k - 12 m + 42 - 7 k$
205442	Expand the Logarithmic Expression	log base x of ( cube root of x+3)/( square root of x+4)	$\log_{x} (\frac{\sqrt[3]{x + 3}}{\sqrt{x + 4}})$
205443	Solve for x	(1/125)^(2x-28)=5^(2x^2-8x)	${(\frac{1}{125})}^{2 x - 28} = 5^{2 x^{2} - 8 x}$
205444	Convert to Interval Notation	-1<=(2x+3)/3<4	$- 1 \leq \frac{2 x + 3}{3} < 4$
205445	Evaluate	(4^-2-8^-1)/(4^-2+8^-1)	$\frac{4^{- 2} - 8^{- 1}}{4^{- 2} + 8^{- 1}}$
205446	Simplify the Radical Expression	3 square root of 16x^4y^4z	$3 \sqrt{16 x^{4} y^{4} z}$
205447	Graph	x=1 y=-2	$x = 1$ $y = - 2$
205448	Write the Fraction in Simplest Form	(4s^8)/((3s)^3)	$\frac{4 s^{8}}{{(3 s)}^{3}}$
205449	Find the Domain and Range	y=(2pi)/3sec(3x)	$y = \frac{2 π}{3} \sec (3 x)$
205450	Evaluate	5^(2x)=125	$5^{2 x} = 125$
205451	Solve for y	(y+2)^2-10(y+2)=-9	${(y + 2)}^{2} - 10 (y + 2) = - 9$
205452	Simplify the Radical Expression	square root of 8/3	$\sqrt{\frac{8}{3}}$
205453	Simplify the Radical Expression	square root of 13x^2	$\sqrt{13 x^{2}}$
205454	Divide	Divide x^2+8x+15 by x+3	Divide $x^{2} + 8 x + 15$ by $x + 3$
205455	Simplify	cube root of (64x^9)/343	$\sqrt[3]{\frac{64 x^{9}}{343}}$
205456	Divide Using Long Polynomial Division	x^3+9x^2+14x-24 , x+6	$x^{3} + 9 x^{2} + 14 x - 24$ , $x + 6$
205457	Divide	4÷( square root of 3)	$4 \div \sqrt{3}$
205458	Graph	-6+6x<=3x-9	$- 6 + 6 x \leq 3 x - 9$
205459	Simplify	Find the sum of -8x^2+3 and -9x^2+3x-3	Find the sum of $- 8 x^{2} + 3$ and $- 9 x^{2} + 3 x - 3$
205460	Solve the Inequality for x	x^2-4x+2>0	$x^{2} - 4 x + 2 > 0$
205461	Solve for x	2^(2x^2+10x)=(1/4)^(6x+28)	$2^{2 x^{2} + 10 x} = {(\frac{1}{4})}^{6 x + 28}$
205462	Evaluate	e^(-2 natural log of 1/5)	$e^{- 2 \ln (\frac{1}{5})}$
205463	Find the Exact Value	tan(540 degrees )	$\tan (540 °)$
205464	Solve for x	100^(8x+30)=10^(-2x^2-6x)	$100^{8 x + 30} = 10^{- 2 x^{2} - 6 x}$
205465	Find the Exact Value	log base 2 of 3/25+5 log base 2 of 5+ log base 2 of 27- log base 2 of 125/12- log base 2 of 243	$\log_{2} (\frac{3}{25}) + 5 \log_{2} (5) + \log_{2} (27) - \log_{2} (\frac{125}{12}) - \log_{2} (243)$
205466	Simplify	6 square root of 5-5 square root of 5-7 square root of 5	$6 \sqrt{5} - 5 \sqrt{5} - 7 \sqrt{5}$
205467	Simplify	((3x^-4y^-5z^-2)/(9x^2y^-8z^-9))^-2	${(\frac{3 x^{- 4} y^{- 5} z^{- 2}}{9 x^{2} y^{- 8} z^{- 9}})}^{- 2}$
205468	Simplify	8 fourth root of 5- fourth root of 20* fourth root of 4	$8 \sqrt[4]{5} - \sqrt[4]{20} \cdot \sqrt[4]{4}$
205469	Simplify	3i+4-3i+2i-6	$3 i + 4 - 3 i + 2 i - 6$
205470	Graph	Draw the graph of y=1/2f(x)	Draw the graph of $y = \frac{1}{2} f (x)$
205471	Solve for a	log of 4a+7 = log of 5a-5	$\log (4 a + 7) = \log (5 a - 5)$
205472	Solve the System of Equations	y=2x^2-4 y=-2x	$y = 2 x^{2} - 4$ $y = - 2 x$
205473	Simplify	7x^4(2x^6+4x^3-3x^2-5x)	$7 x^{4} (2 x^{6} + 4 x^{3} - 3 x^{2} - 5 x)$
205474	Solve for x	12-x(x-3)=(6-x)(x+2)	$12 - x (x - 3) = (6 - x) (x + 2)$
205475	Divide Using Long Polynomial Division	x^3+9x^2+8x-60 , x+6	$x^{3} + 9 x^{2} + 8 x - 60$ , $x + 6$
205476	Solve for x	x^3+5x^2-x-7=x^2+6x+3	$x^{3} + 5 x^{2} - x - 7 = x^{2} + 6 x + 3$
205477	Find the Inverse	f(x)=2x^(2+3)	$f (x) = 2 x^{2 + 3}$
205478	Solve the System of Equations	-x+y=1 x-y=1	$- x + y = 1$ $x - y = 1$
205479	Simplify	(sin(theta))/(cos(theta))+tan(theta)	$\frac{\sin (θ)}{\cos (θ)} + \tan (θ)$
205480	Graph	(x+1)(x-1)(x-2)	$(x + 1) (x - 1) (x - 2)$
205481	Find All Complex Solutions	x^3-9x^2+20x=0	$x^{3} - 9 x^{2} + 20 x = 0$
205482	Simplify the Radical Expression	square root of 2( square root of 6+ square root of 7)	$\sqrt{2} (\sqrt{6} + \sqrt{7})$
205483	Simplify	Find the sum of -7x^2-6x+9 and -3x^2-x+7	Find the sum of $- 7 x^{2} - 6 x + 9$ and $- 3 x^{2} - x + 7$
205484	Solve for m	-\|m+3\|=-13	$- \| m + 3 \| = - 13$
205485	Solve for x	9^(15x-48)=3^(3x^2-6x)	$9^{15 x - 48} = 3^{3 x^{2} - 6 x}$
205486	Simplify	-4*(-4)^-2	$- 4 \cdot {(- 4)}^{- 2}$
205487	Simplify	(a^6+b^6)/(a^2+b^2)	$\frac{a^{6} + b^{6}}{a^{2} + b^{2}}$
205488	Solve for p	2+ square root of 3p+7=6	$2 + \sqrt{3 p + 7} = 6$
205489	Simplify	(2+ square root of 3)/( square root of 3+ square root of 2)	$\frac{2 + \sqrt{3}}{\sqrt{3} + \sqrt{2}}$
205490	Solve the System of Equations	y=x^2-8x -2x+y=-21	$y = x^{2} - 8 x$ $- 2 x + y = - 21$
205491	Graph	f(x)=1/2(x-1)^3+3	$f (x) = \frac{1}{2} {(x - 1)}^{3} + 3$
205492	Find the x and y Intercepts	F(x) = cube root of x-5	$F (x) = \sqrt[3]{x - 5}$
205493	Find g(f(x))	f(x)=x+3 , g(x)=7x^2	$f (x) = x + 3$ , $g (x) = 7 x^{2}$
205494	Graph	4x-5y>=-35 y>-x-2	$4 x - 5 y \geq - 35$ $y > - x - 2$
205495	Solve the Absolute Value Inequality for x	\|x\|+x=0	$\| x \| + x = 0$
205496	Rationalize the Denominator	3/(2 square root of 2* square root of 3)	$\frac{3}{2 \sqrt{2} \cdot \sqrt{3}}$
205497	Solve for a	4/(3a)=-(3d)/r	$\frac{4}{3 a} = - \frac{3 d}{r}$
205498	Simplify	3x cube root of x^8y+x^2 cube root of x^5y	$3 x \sqrt[3]{x^{8} y} + x^{2} \sqrt[3]{x^{5} y}$
205499	Simplify the Radical Expression	-2 square root of 48a^3b^4c^2	$- 2 \sqrt{48 a^{3} b^{4} c^{2}}$
205500	Simplify	(2^-1+2^0)-(6^-1+6^0)	$(2^{- 1} + 2^{0}) - (6^{- 1} + 6^{0})$