Mathway | Popular Problems

Popular Problems

Rank	Topic	Problem	Formatted Problem
211501	Simplify	(a+b+c+d)^2	${(a + b + c + d)}^{2}$
211502	Simplify	( square root of -4+ square root of -9)( square root of -4- square root of -9)	$(\sqrt{- 4} + \sqrt{- 9}) (\sqrt{- 4} - \sqrt{- 9})$
211503	Multiply	cube root of x* square root of x	$\sqrt[3]{x} \cdot \sqrt{x}$
211504	Divide	(3v^3+v^2+2v)/(9v^3)	$\frac{3 v^{3} + v^{2} + 2 v}{9 v^{3}}$
211505	Solve for h	18+7h^(1/2)=12	$18 + 7 h^{\frac{1}{2}} = 12$
211506	Graph	4x+y=6x-1	$4 x + y = 6 x - 1$
211507	Simplify	-1/5z^2+3/5z^2	$- \frac{1}{5} z^{2} + \frac{3}{5} z^{2}$
211508	Find All Complex Solutions	square root of x+5+x=7	$\sqrt{x + 5} + x = 7$
211509	Solve for x	-6x+14=-2^x+6	$- 6 x + 14 = - 2^{x} + 6$
211510	Evaluate	5x^6=30	$5 x^{6} = 30$
211511	Solve for b	(a-b)/4=L	$\frac{a - b}{4} = L$
211512	Simplify	1/4(8-6x+12)	$\frac{1}{4} (8 - 6 x + 12)$
211513	Write in Standard Form	(9x^2-8)+(9x^2+9x+3)	$(9 x^{2} - 8) + (9 x^{2} + 9 x + 3)$
211514	Solve the Inequality for x	x^2+x>0	$x^{2} + x > 0$
211515	Find All Complex Solutions	-2(11-12x)=-4(1-6x)	$- 2 (11 - 12 x) = - 4 (1 - 6 x)$
211516	Solve the Rational Equation for x	square root of x+2=x	$\sqrt{x + 2} = x$
211517	Find the Product	xy^2(x^2+3xy+9)	$x y^{2} (x^{2} + 3 x y + 9)$
211518	Solve the Inequality for x	2x^2-6x-133>7	$2 x^{2} - 6 x - 133 > 7$
211519	Write in Exponential Form	square root of a* square root of b	$\sqrt{a} \cdot \sqrt{b}$
211520	Graph	\|x\|+y>=0	$\| x \| + y \geq 0$
211521	Graph	((x-i)(2x+i))/(x-i)	$\frac{(x - i) (2 x + i)}{(x - i)}$
211522	Solve for v	5v^2+2=-5	$5 v^{2} + 2 = - 5$
211523	Solve for x	square root of 2x-14+4>12	$\sqrt{2 x - 14} + 4 > 12$ ?
211524	Simplify	(2^2y^5)^-3	${(2^{2} y^{5})}^{- 3}$
211525	Find All Complex Solutions	cos(theta)^2+sin(theta)^2=1	$\cos^{2} (θ) + \sin^{2} (θ) = 1$
211526	Solve the Inequality for x	x/4-1/5<=x/5+1	$\frac{x}{4} - \frac{1}{5} \leq \frac{x}{5} + 1$
211527	Convert to a Percentage	45 is what percent of 60 ?	$45$ is what percent of $60$ ?
211528	Solve for k	-2.7+1.9k=1.5-1.2k+k	$- 2.7 + 1.9 k = 1.5 - 1.2 k + k$
211529	Multiply	x(-9x^2-5x+9)	$x (- 9 x^{2} - 5 x + 9)$
211530	Solve the System of Equations	x^2+y^2=16 x^2-4x+y^2=12	$x^{2} + y^{2} = 16$ $x^{2} - 4 x + y^{2} = 12$
211531	Multiply	(x^2+5x+4)/(x^2-13x+40)*(x-8)/(x^2-1)	$\frac{x^{2} + 5 x + 4}{x^{2} - 13 x + 40} \cdot \frac{x - 8}{x^{2} - 1}$
211532	Solve for n	1n+1.50=0.50n+4.50	$1 n + 1.5 = 0.5 n + 4.5$
211533	Solve for u	u/12=6/8	$\frac{u}{12} = \frac{6}{8}$
211534	Graph	f(x)=1/3 square root of x+2	$f (x) = \frac{1}{3} \sqrt{x + 2}$
211535	Solve the Inequality for x	5^(2x)<125^(x-5)	$5^{2 x} < 125^{x - 5}$
211536	Evaluate	2sin(15 degrees )cos(15 degrees )	$2 \sin (15 °) \cos (15 °)$
211537	Solve the Rational Equation for x	(3x-1)^(1/5)=2	${(3 x - 1)}^{\frac{1}{5}} = 2$
211538	Solve for x	cube root of 2x-3 = cube root of 2-x	$\sqrt[3]{2 x - 3} = \sqrt[3]{2 - x}$
211539	Evaluate	(10 square root of 3)/3*2	$\frac{10 \sqrt{3}}{3} \cdot 2$
211540	Solve for y	(y-2)^2-10(y-2)+9=0	${(y - 2)}^{2} - 10 (y - 2) + 9 = 0$
211541	Find All Complex Solutions	x^4=-2+2 square root of 3i	$x^{4} = - 2 + 2 \sqrt{3} i$
211542	Simplify	x/( square root of 12)	$\frac{x}{\sqrt{12}}$
211543	Solve for x	3x=-x^2	$3 x = - x^{2}$
211544	Solve Using the Quadratic Formula	16(7-3x)^2+13=17	$16 {(7 - 3 x)}^{2} + 13 = 17$
211545	Simplify	c^3+c^2+2c-3c^3-c^2-4c	$c^{3} + c^{2} + 2 c - 3 c^{3} - c^{2} - 4 c$
211546	Multiply	square root of -5* square root of 5	$\sqrt{- 5} \cdot \sqrt{5}$
211547	Solve for m	1/10m+1/2=-1/2m-1/2	$\frac{1}{10} m + \frac{1}{2} = - \frac{1}{2} m - \frac{1}{2}$
211548	Solve the Inequality for y	5>-2/-5y-3	$5 > \frac{- 2}{- 5} y - 3$
211549	Solve for t	S=P+Prt for t	$S = P + P r t$ for $t$
211550	Simplify	fourth root of 16x^10* square root of 81x	$\sqrt[4]{16 x^{10}} \cdot \sqrt{81 x}$
211551	Solve for x	x+2x^2-4=-7x+6	$x + 2 x^{2} - 4 = - 7 x + 6$
211552	Solve for θ	sec(theta)=undefined	$\sec (θ) = u n d e f i n e d$
211553	Simplify	((3x^4)/(y^-2))^5	${(\frac{3 x^{4}}{y^{- 2}})}^{5}$
211554	Solve for x	log base 11 of x^2+5x-108 = log base 11 of 28x	$\log_{11} (x^{2} + 5 x - 108) = \log_{11} (28 x)$
211555	Find All Complex Solutions	3^(x+1)+3^x=12	$3^{x + 1} + 3^{x} = 12$
211556	Simplify	(2^(2x)-2^x)/(2^x-1)	$\frac{2^{2 x} - 2^{x}}{2^{x} - 1}$
211557	Graph	Graph x=-5	Graph $x = - 5$
211558	Simplify	P(x)=x^2(b^2x+a^2)+ab(x^5+1)	$P (x) = x^{2} (b^{2} x + a^{2}) + a b (x^{5} + 1)$
211559	Simplify	(m^(1/5)n^(1/7))/(m^(1/4)n^(2/7))	$\frac{m^{\frac{1}{5}} n^{\frac{1}{7}}}{m^{\frac{1}{4}} n^{\frac{2}{7}}}$
211560	Evaluate	(1-2+3)4^5+67-8	$(1 - 2 + 3) \cdot 4^{5} + 6 \cdot 7 - 8$
211561	Evaluate	f(3x)=x/(x^2+1)	$f (3 x) = \frac{x}{x^{2} + 1}$
211562	Simplify	x/4+(3x)/2	$\frac{x}{4} + \frac{3 x}{2}$
211563	Find the Product	x^3(x^2+5x+1)	$x^{3} (x^{2} + 5 x + 1)$
211564	Solve for x	log base y of x+2- log base y of x-1 = log base y of 4	$\log_{y} (x + 2) - \log_{y} (x - 1) = \log_{y} (4)$
211565	Simplify	2/(3x)*(3x)/2	$\frac{2}{3 x} \cdot \frac{3 x}{2}$
211566	Solve the System of Equations	2p-q+4r=11 p+2q-6r=-11 3p-2q-10r=11	$2 p - q + 4 r = 11$ $p + 2 q - 6 r = - 11$ $3 p - 2 q - 10 r = 11$
211567	Simplify	(7x-12x^4y^4)+(-11x^3y^2+6x-x^4y^4)-(7x^4y^4-12x^3y^2)	$(7 x - 12 x^{4} y^{4}) + (- 11 x^{3} y^{2} + 6 x - x^{4} y^{4}) - (7 x^{4} y^{4} - 12 x^{3} y^{2})$
211568	Simplify	square root of 24x* square root of 18y* square root of 15y	$\sqrt{24 x} \cdot \sqrt{18 y} \cdot \sqrt{15 y}$
211569	Simplify	(4jk^2-2j^3k^4)/(2jk)	$\frac{4 j k^{2} - 2 j^{3} k^{4}}{2 j k}$
211570	Solve for x	(x+4)/3-2/x=1	$\frac{x + 4}{3} - \frac{2}{x} = 1$
211571	Find the Inverse	(x+4)^(1/4)	${(x + 4)}^{\frac{1}{4}}$
211572	Divide Using Synthetic Division	(2x^3-54)÷(x+3)	$(2 x^{3} - 54) \div (x + 3)$
211573	Find the Roots (Zeros)	8(x-2)^3=0	$8 {(x - 2)}^{3} = 0$
211574	Solve for x	-28=-7(3x+4)+21x	$- 28 = - 7 (3 x + 4) + 21 x$
211575	Evaluate	2(3)^2-(7)^1+3(3)^0	$2 {(3)}^{2} - {(7)}^{1} + 3 {(3)}^{0}$
211576	Solve for s	square root of s+31=9/( square root of s+31)	$\sqrt{s + 31} = \frac{9}{\sqrt{s + 31}}$
211577	Simplify	1/x+1/(xy)	$\frac{1}{x} + \frac{1}{x y}$
211578	Simplify	i^13i^14i^22	$i^{13} \cdot i^{14} \cdot i^{22}$
211579	Find the Degree, Leading Term, and Leading Coefficient	f(x)=9x-10	$f (x) = 9 x - 10$
211580	Graph	-3(7n+3)<6n	$- 3 (7 n + 3) < 6 n$
211581	Simplify	(5x^2+15x)/(x^2+6x+9)	$\frac{5 x^{2} + 15 x}{x^{2} + 6 x + 9}$
211582	Simplify	(2x)/( cube root of 2x)	$\frac{2 x}{\sqrt[3]{2 x}}$
211583	Simplify the Radical Expression	( cube root of 270x^20)/( cube root of 5x)	$\frac{\sqrt[3]{270 x^{20}}}{\sqrt[3]{5 x}}$
211584	Simplify	2x^-5*xy^3	$2 x^{- 5} \cdot x y^{3}$
211585	Solve for x	5(4+2x)-(8x-12)=68	$5 (4 + 2 x) - (8 x - 12) = 68$
211586	Simplify	(6^-2)(3^-3)(3*6)^4	$(6^{- 2}) (3^{- 3}) {(3 \cdot 6)}^{4}$
211587	Solve for x	(x+5)/(x+2)-(3x)/(2-x)=(3x)/(x-2)	$\frac{x + 5}{x + 2} - \frac{3 x}{2 - x} = \frac{3 x}{x - 2}$
211588	Evaluate	(3x^2+4x-1)+(-2x^2-3x+2)	$(3 x^{2} + 4 x - 1) + (- 2 x^{2} - 3 x + 2)$
211589	Solve for x	Solve 8=2^(x+4)	Solve $8 = 2^{x + 4}$
211590	Simplify the Radical Expression	square root of (2x)/(5y)	$\sqrt{\frac{2 x}{5 y}}$
211591	Evaluate the Function	y=1/4(4)^x for x=5	$y = \frac{1}{4} {(4)}^{x}$ for $x = 5$
211592	Find the Domain and Range	cube root of 9-x^2	$\sqrt[3]{9 - x^{2}}$
211593	Simplify the Radical Expression	( square root of a square root of b)/( seventh root of ab)	$\frac{\sqrt{a \sqrt{b}}}{\sqrt[7]{a b}}$
211594	Convert to a Decimal	155deg	$155$ degrees
211595	Simplify	(3x-1)+(x^2+5x-4)	$(3 x - 1) + (x^{2} + 5 x - 4)$
211596	Graph	-1+9y>-73 and (y-4)/-3>2	$- 1 + 9 y > - 73$ and $\frac{y - 4}{- 3} > 2$
211597	Subtract	9/(4m)-4/(9n)	$\frac{9}{4 m} - \frac{4}{9 n}$
211598	Multiply	(7x^2-6x-6)*(2x-4)	$(7 x^{2} - 6 x - 6) \cdot (2 x - 4)$
211599	Graph	x^2-3x<=0	$x^{2} - 3 x \leq 0$
211600	Rationalize the Denominator	1/( cube root of 9- cube root of 3)	$\frac{1}{\sqrt[3]{9} - \sqrt[3]{3}}$