Mathway | Popular Problems

Popular Problems

Rank	Topic	Problem	Formatted Problem
208201	Graph	y=1/2x+1 y=x-1	$y = \frac{1}{2} x + 1$ $y = x - 1$
208202	Solve the Rational Equation for x	3/(x+1)+2/7=2	$\frac{3}{x + 1} + \frac{2}{7} = 2$
208203	Evaluate	500*5^(y/3)=1	$500 \cdot 5^{\frac{y}{3}} = 1$
208204	Solve the Inequality for x	(x^2-1)(x^2+x-2)>=0	$(x^{2} - 1) (x^{2} + x - 2) \geq 0$
208205	Find the First Term	a_n=((n+3)!)/(n+3)	$a_{n} = \frac{(n + 3)!}{n + 3}$
208206	Evaluate Using the Given Value	16-x at x=5	$16 - x$ at $x = 5$
208207	Evaluate	sin(arccos(x))	$\sin (\arccos (x))$
208208	Solve for x	(x+3)/2+4x=6	$\frac{x + 3}{2} + 4 x = 6$
208209	Evaluate Using the Given Value	6+x if x=6	$6 + x$ if $x = 6$
208210	Simplify the Radical Expression	fourth root of 81(x+4)^4	$\sqrt[4]{81 {(x + 4)}^{4}}$
208211	Multiply	3xy^4z^2*5x^2yx	$3 x y^{4} z^{2} \cdot 5 x^{2} y x$
208212	Solve the Inequality for x	x^2-6x+8>35	$x^{2} - 6 x + 8 > 35$
208213	Solve for a	9^(-4a)=243^(2a+3)	$9^{- 4 a} = 243^{2 a + 3}$
208214	Simplify	21+8x+(-15)	$21 + 8 x + (- 15)$
208215	Solve for x	11x-2x+15=8+7+9x	$11 x - 2 x + 15 = 8 + 7 + 9 x$
208216	Find the Product	-5ab*(a^2-2b)	$- 5 a b \cdot (a^{2} - 2 b)$
208217	Factor	y=x^4-5x^2+4	$y = x^{4} - 5 x^{2} + 4$
208218	Simplify	simplify square root of 75	simplify $\sqrt{75}$
208219	Solve the Inequality for z	5/8z>5/6	$\frac{5}{8} z > \frac{5}{6}$
208220	Simplify	sixth root of 8x^3y^9	$\sqrt[6]{8 x^{3} y^{9}}$
208221	Evaluate	(1-2g+4h)*5	$(1 - 2 g + 4 h) \cdot 5$
208222	Simplify	(-4y^3)^2*(xy^4)^3+7x^3y^18	${(- 4 y^{3})}^{2} \cdot {(x y^{4})}^{3} + 7 x^{3} y^{18}$
208223	Simplify	cube root of (2x)/4	$\sqrt[3]{\frac{2 x}{4}}$
208224	Solve the Inequality for r	7-9r-(r+12)<=25	$7 - 9 r - (r + 12) \leq 25$
208225	Simplify	2/(sin(x)^2)	$\frac{2}{\sin^{2} (x)}$
208226	Solve for x	square root of x+2 = square root of 10x-1	$\sqrt{x} + 2 = \sqrt{10 x - 1}$
208227	Solve for x	0.1*0.2x=8.4	$0.1 \cdot 0.2 x = 8.4$
208228	Graph	y<=-2x-4y	$y \leq - 2 x - 4 y$
208229	Solve for N	5(3/5N+2)-n=-6n	$5 (\frac{3}{5} N + 2) - n = - 6 n$
208230	Factor	4(2x+7)+5(2x+7)	$4 (2 x + 7) + 5 (2 x + 7)$
208231	Solve for x	square root of x^2-2- square root of x+4=0	$\sqrt{x^{2} - 2} - \sqrt{x + 4} = 0$
208232	Find the Equation Given the Roots	-3i square root of 2	$- 3 i \sqrt{2}$
208233	Simplify	cos(x)tan(x)^2-cos(x)sec(x)^2	$\cos (x) \tan^{2} (x) - \cos (x) \sec^{2} (x)$
208234	Identify the Zeros and Their Multiplicities	f(x)=x^5-6x^4+8x^3+6x^2-9x	$f (x) = x^{5} - 6 x^{4} + 8 x^{3} + 6 x^{2} - 9 x$
208235	Find the Excluded Values	(32x^4-50)/(4x^3-12x^2-5x+15)	$\frac{32 x^{4} - 50}{4 x^{3} - 12 x^{2} - 5 x + 15}$
208236	Solve for x	4/3=(2x)/15	$\frac{4}{3} = \frac{2 x}{15}$
208237	Solve for x	-9=13x-7x+12	$- 9 = 13 x - 7 x + 12$
208238	Simplify	(-1/8)^(-2/3)	${(- \frac{1}{8})}^{\frac{- 2}{3}}$
208239	Divide	( square root of 8)/( square root of 100)	$\frac{\sqrt{8}}{\sqrt{100}}$
208240	Simplify	fifth root of 1/(m^7*m^8)	$\sqrt[5]{\frac{1}{m^{7} \cdot m^{8}}}$
208241	Solve the Inequality for f	-2/3f+3<-9	$- \frac{2}{3} f + 3 < - 9$
208242	Determine the Possible Number of Real Roots	5x^2+7x+2	$5 x^{2} + 7 x + 2$
208243	Simplify	(x+5)/(3x+4)+(x+4)/(x+3)	$\frac{x + 5}{3 x + 4} + \frac{x + 4}{x + 3}$
208244	Write the Fraction in Simplest Form	((2d)^3)/(2d^5)	$\frac{{(2 d)}^{3}}{2 d^{5}}$
208245	Solve for x	-5/9+4/x=1/(9x)	$\frac{- 5}{9} + \frac{4}{x} = \frac{1}{9 x}$
208246	Rationalize the Denominator	cube root of x/(4y)	$\sqrt[3]{\frac{x}{4 y}}$
208247	Simplify	(8x^-2)/(4y^-5)	$\frac{8 x^{- 2}}{4 y^{- 5}}$
208248	Convert to Radical Form	( cube root of 24^4)/24	$\frac{\sqrt[3]{24^{4}}}{24}$
208249	Simplify	3 square root of a+9 square root of b- square root of b-2 square root of a	$3 \sqrt{a} + 9 \sqrt{b} - \sqrt{b} - 2 \sqrt{a}$
208250	Simplify	i^60-i^112+10i^93-6i^36	$i^{60} - i^{112} + 10 i^{93} - 6 i^{36}$
208251	Simplify	x^3y^3 cube root of 27x^4y^8	$x^{3} y^{3} \sqrt[3]{27 x^{4} y^{8}}$
208252	Graph	f(x)<- square root of x+2-4	$f (x) < - \sqrt{x + 2} - 4$
208253	Simplify	fourth root of 1/32	$\sqrt[4]{\frac{1}{32}}$
208254	Evaluate	(5-3x)-(-4x+6)=(8x+11)-(3x-6)	$(5 - 3 x) - (- 4 x + 6) = (8 x + 11) - (3 x - 6)$
208255	Write in Slope-Intercept Form	4>4x-y	$4 > 4 x - y$
208256	Solve for v	v+0.9=-0.2v+1.3+0.4v	$v + 0.9 = - 0.2 v + 1.3 + 0.4 v$
208257	Solve the Inequality for y	(2y+1)/5-(y-2)/3<=-1/15	$\frac{2 y + 1}{5} - \frac{y - 2}{3} \leq - \frac{1}{15}$
208258	Factor by Grouping	3a+b-6a^2-2ab	$3 a + b - 6 a^{2} - 2 a b$
208259	Solve for x	(3x)/5=x-8	$\frac{3 x}{5} = x - 8$
208260	Solve the Inequality for m	41>6m-7	$41 > 6 m - 7$
208261	Solve for x	4(3x+6)^(1/4)-12=0	$4 {(3 x + 6)}^{\frac{1}{4}} - 12 = 0$
208262	Simplify	6x-2x+8y-6y	$6 x - 2 x + 8 y - 6 y$
208263	Solve by Substitution	y=2+5/6x 4x-3y=3	$y = 2 + \frac{5}{6} x$ $4 x - 3 y = 3$
208264	Simplify	-30<x/-4	$- 30 < \frac{x}{- 4}$
208265	Graph	1/6w>=2.5	$\frac{1}{6} w \geq 2.5$
208266	Find the Exact Value	csc(30 degrees )cot(45 degrees )	$\csc (30 °) \cot (45 °)$
208267	Evaluate	5(10k+1)+2(2+8K)	$5 (10 k + 1) + 2 (2 + 8 K)$
208268	Solve by Addition/Elimination	2x-y=-15 2(x+3y)=-22	$2 x - y = - 15$ $2 (x + 3 y) = - 22$
208269	Simplify	6xy^3 cube root of 135x^10y^9	$6 x y^{3} \sqrt[3]{135 x^{10} y^{9}}$
208270	Solve the Inequality for x	18>=5x+4x	$18 \geq 5 x + 4 x$
208271	Simplify	((-2x^3y^8z^-2)/(6x^-1y^3z^-1))^0	${(\frac{- 2 x^{3} y^{8} z^{- 2}}{6 x^{- 1} y^{3} z^{- 1}})}^{0}$
208272	Solve for x	(5x+7)/(x-2)-(2x+21)/(x+2)=8 2/3	$\frac{5 x + 7}{x - 2} - \frac{2 x + 21}{x + 2} = 8 \frac{2}{3}$
208273	Solve by Factoring	x^2+2ax+a^2=0	$x^{2} + 2 a x + a^{2} = 0$
208274	Solve for x	(2x+5)/(x+1)-(2x+1)/(1-x)=(3x)/(x-1)	$\frac{2 x + 5}{x + 1} - \frac{2 x + 1}{1 - x} = \frac{3 x}{x - 1}$
208275	Solve the Inequality for x	-5+3x<-8(x+2)	$- 5 + 3 x < - 8 (x + 2)$
208276	Convert to a Percentage	72 is what percent of 45	$72$ is what percent of $45$
208277	Simplify	x/-9>=3	$\frac{x}{- 9} \geq 3$
208278	Solve for B	4=6B+16C	$4 = 6 B + 16 C$
208279	Find the End Behavior	f(x)=-10x^6+5120-400x^3-2240x^2+1280x+20x^5+280x^4	$f (x) = - 10 x^{6} + 5120 - 400 x^{3} - 2240 x^{2} + 1280 x + 20 x^{5} + 280 x^{4}$
208280	Subtract	-9x^2y^2+5x^2y-11xy+1 5x^2y^2-15xy-11	$- 9 x^{2} y^{2} + 5 x^{2} y - 11 x y + 1$ $5 x^{2} y^{2} - 15 x y - 11$
208281	Write in Slope-Intercept Form	x-y<=3	$x - y \leq 3$
208282	Solve for x	1/3(x-9)-x=11-5/3x	$\frac{1}{3} (x - 9) - x = 11 - \frac{5}{3} x$
208283	Find the Domain and Range	y=3sin(2x-pi/2)	$y = 3 \sin (2 x - \frac{π}{2})$
208284	Solve for x	1/( square root of x+5) = square root of -2x	$\frac{1}{\sqrt{x + 5}} = \sqrt{- 2 x}$
208285	Solve the Inequality for n	log base 5 of 25<n	$\log_{5} (25) < n$
208286	Simplify the Radical Expression	( cube root of 4)/( square root of 2)	$\frac{\sqrt[3]{4}}{\sqrt{2}}$
208287	Combine Like Terms	12y+y-5y	$12 y + y - 5 y$
208288	Simplify the Radical Expression	(125)(2/3)	$(125) (\frac{2}{3})$
208289	Expand the Logarithmic Expression	log base 4 of (5x^(3y))/(2xy^3)	$\log_{4} (\frac{5 x^{3 y}}{2 x y^{3}})$
208290	Find the Domain and Range	f(x)=- natural log of x+5	$f (x) = - \ln (x + 5)$
208291	Factor by Grouping	3(a-2)^2-(2-a)	$3 {(a - 2)}^{2} - (2 - a)$
208292	Graph	3x+5y<10 x-y<=-1	$3 x + 5 y < 10$ $x - y \leq - 1$
208293	Evaluate	z=3(cos(pi/6)+isin(pi/6))	$z = 3 (\cos (\frac{π}{6}) + i \sin (\frac{π}{6}))$
208294	Evaluate	i^30i^20i^29*i^6	$i^{30} \cdot i^{20} \cdot i^{29} \cdot i^{6}$
208295	Solve for b	4=8b+10c	$4 = 8 b + 10 c$
208296	Solve the Absolute Value Inequality for x	8=\|5-x\|	$8 = \| 5 - x \|$
208297	Solve for j	18(5j-1)+29=47	$18 (5 j - 1) + 29 = 47$
208298	Simplify	6/( square root of 2x^3)	$\frac{6}{\sqrt{2 x^{3}}}$
208299	Write the Fraction in Simplest Form	(10n)/(2(n^-3)^4)	$\frac{10 n}{2 {(n^{- 3})}^{4}}$
208300	Evaluate	(1/7)/(1/7+1)-1	$\frac{\frac{1}{7}}{\frac{1}{7} + 1} - 1$