Mathway | Popular Problems

Popular Problems

Rank	Topic	Problem	Formatted Problem
216201	Solve the System of Inequalities	y<2x+1 y<=-3x+4	$y < 2 x + 1$ $y \leq - 3 x + 4$
216202	Graph	F(x)=-1/3x^3	$F (x) = - \frac{1}{3} x^{3}$
216203	Solve for x	-6x=-5(x-1)-x	$- 6 x = - 5 (x - 1) - x$
216204	Simplify	square root of a* fourth root of a^3	$\sqrt{a} \cdot \sqrt[4]{a^{3}}$
216205	Simplify	fourth root of 121x^2y^3z^4 fourth root of 121x^6yz^12	$\sqrt[4]{121 x^{2} y^{3} z^{4}} \sqrt[4]{121 x^{6} y z^{12}}$
216206	Solve the System of Equations	y-x=3 y=1	$y - x = 3$ $y = 1$
216207	Solve for x	-7/x=-5/(x+4)	$- \frac{7}{x} = - \frac{5}{x + 4}$
216208	Evaluate	(4x^3)(2x)^-4	$(4 x^{3}) {(2 x)}^{- 4}$
216209	Simplify	1/3(x+15)+2/3(x+9)	$\frac{1}{3} (x + 15) + \frac{2}{3} (x + 9)$
216210	Simplify	cube root of x^2(x^2+x^(1/3)-2/( square root of x))	$\sqrt[3]{x^{2}} (x^{2} + x^{\frac{1}{3}} - \frac{2}{\sqrt{x}})$
216211	Solve for w	10(w+2)=26	$10 (w + 2) = 26$
216212	Rationalize the Denominator	-5/(-8+ square root of 3)	$\frac{- 5}{- 8 + \sqrt{3}}$
216213	Evaluate	(37.2^2sin(2*14.1))/9.80	$\frac{{37.2}^{2} \sin (2 \cdot 14.1)}{9.8}$
216214	Solve for x	square root of x^2-2x=x+1	$\sqrt{x^{2} - 2 x} = x + 1$
216215	Simplify the Radical Expression	-64^(2/3)	$- 64^{\frac{2}{3}}$
216216	Solve for p	A=1/2ap	$A = \frac{1}{2} a p$
216217	Find the Third Term	a_n=((n+4)!)/((n+5)!)	$a_{n} = \frac{(n + 4)!}{(n + 5)!}$
216218	Solve for b	(b+3)/3-b/4=(b-2)/5	$\frac{b + 3}{3} - \frac{b}{4} = \frac{b - 2}{5}$
216219	Graph	y<1/(x+2)+1	$y < \frac{1}{x + 2} + 1$
216220	Simplify	(3a^-2b^-2)/(18b^3)	$\frac{3 a^{- 2} b^{- 2}}{18 b^{3}}$
216221	Simplify	(z-2)^2+(z-5)(z+7)	${(z - 2)}^{2} + (z - 5) (z + 7)$
216222	Write in Slope-Intercept Form	(5,1) and (10,5)	$(5, 1)$ and $(10, 5)$
216223	Factor	432m^7n^3-147mn^9	$432 m^{7} n^{3} - 147 m n^{9}$
216224	Divide	( square root of x^3)/( cube root of y^5)	$\frac{\sqrt{x^{3}}}{\sqrt[3]{y^{5}}}$
216225	Factor	5x(x-y)-(y-x)	$5 x (x - y) - (y - x)$
216226	Find the Holes in the Graph	(x^2-7x+12)/(x^2-9)	$\frac{x^{2} - 7 x + 12}{x^{2} - 9}$
216227	Simplify the Radical Expression	square root of 81(x^5-2)^10	$\sqrt{81 {(x^{5} - 2)}^{10}}$
216228	Divide	((x^2-1)/(2x+2))÷((x^2-6x+5)/(2x^2))	$\frac{x^{2} - 1}{2 x + 2} \div \frac{x^{2} - 6 x + 5}{2 x^{2}}$
216229	Solve for x	kx-17=51+x	$k x - 17 = 51 + x$
216230	Solve for x	0=(x+2)^2-16	$0 = {(x + 2)}^{2} - 16$
216231	Simplify	(p^2-14p+40)/(16p^3)+(3p^2-18p+24)/(2p^2-4p)	$\frac{p^{2} - 14 p + 40}{16 p^{3}} + \frac{3 p^{2} - 18 p + 24}{2 p^{2} - 4 p}$
216232	Find All Complex Solutions	3tan(x) = square root of 3	$3 \tan (x) = \sqrt{3}$
216233	Solve for x	y=6(x+a)	$y = 6 (x + a)$
216234	Identify the Polar Equation	x^2+y^2=9	$x^{2} + y^{2} = 9$
216235	Solve for v₂	t_1/(s_1v_1)=t_2/(s_2v_2)	$\frac{t_{1}}{s_{1} v_{1}} = \frac{t_{2}}{s_{2} v_{2}}$
216236	Find the GCF	4n^9+12n	$4 n^{9} + 12 n$
216237	Solve the Inequality for n	1/4n>=10	$\frac{1}{4} n \geq 10$
216238	Identify the Sequence	3 , 6 , 12 , 24 ; dots	$3$ , $6$ , $12$ , $24$ ; dots
216239	Simplify	cube root of (27a^3)/(b^6)	$\sqrt[3]{\frac{27 a^{3}}{b^{6}}}$
216240	Write in Standard Form	9x^2y-4x+3y^3x-2y^2	$9 x^{2} y - 4 x + 3 y^{3} x - 2 y^{2}$
216241	Write in Standard Form	18a^2b^2+7ab-b^2+4a^3	$18 a^{2} b^{2} + 7 a b - b^{2} + 4 a^{3}$
216242	Graph	x+3<y 3x-3y>=12	$x + 3 < y$ $3 x - 3 y \geq 12$
216243	Solve the Inequality for x	(x+3)(x^2-3x+9)>(x^2-6)(x-1)	$(x + 3) (x^{2} - 3 x + 9) > (x^{2} - 6) (x - 1)$
216244	Solve for x	(x-2)^3=-14	${(x - 2)}^{3} = - 14$
216245	Solve the System of Equations	-6x+6y-7z=-7 6x+y+6z=-7 6x+y+8z=7	$- 6 x + 6 y - 7 z = - 7$ $6 x + y + 6 z = - 7$ $6 x + y + 8 z = 7$
216246	Evaluate	10*3^((5t)/4)=800	$10 \cdot 3^{\frac{5 t}{4}} = 800$
216247	Solve for x	-1/3x+12=-2x+2	$- \frac{1}{3} x + 12 = - 2 x + 2$
216248	Evaluate	sin(2(pi/2))	$\sin (2 (\frac{π}{2}))$
216249	Solve for θ	sin(theta)>0	$\sin (θ) > 0$
216250	Factor by Grouping	a^3b^3-1	$a^{3} b^{3} - 1$
216251	Solve the System of Equations	-8x-8y=0 and -5x-4y=5	$- 8 x - 8 y = 0$ and $- 5 x - 4 y = 5$
216252	Simplify	(2r^-5s^9t^6)^-3	${(2 r^{- 5} s^{9} t^{6})}^{- 3}$
216253	Simplify	-1/2(18d-6)-10d	$- \frac{1}{2} (18 d - 6) - 10 d$
216254	Simplify	(2x^-4y^7)^2*(-3x^-3y^-2)^-3	${(2 x^{- 4} y^{7})}^{2} \cdot {(- 3 x^{- 3} y^{- 2})}^{- 3}$
216255	Multiply	-3 square root of 5* square root of 20	$- 3 \sqrt{5} \cdot \sqrt{20}$
216256	Write in Standard Form	-2x(3x-4)+7x	$- 2 x (3 x - 4) + 7 x$
216257	Evaluate	((4^-6)/(4^2))^4	${(\frac{4^{- 6}}{4^{2}})}^{4}$
216258	Simplify	((a^(3/5)b^(1/2))/(a^(1/5)))^(1/4)	${(\frac{a^{\frac{3}{5}} b^{\frac{1}{2}}}{a^{\frac{1}{5}}})}^{\frac{1}{4}}$
216259	Divide Using Synthetic Division	Use synthetic division to find the result when x^4-3x^3-7x^2-x+10 is divided by x-1	Use synthetic division to find the result when $x^{4} - 3 x^{3} - 7 x^{2} - x + 10$ is divided by $x - 1$
216260	Solve the Inequality for x	(1/81)^(3-x)<=9	${(\frac{1}{81})}^{3 - x} \leq 9$
216261	Divide Using Synthetic Division	Use synthetic division to find the result when x^3-5x^2+11x-10 is divided by x-2	Use synthetic division to find the result when $x^{3} - 5 x^{2} + 11 x - 10$ is divided by $x - 2$
216262	Convert to a Decimal	-14pirad	$- 14 π$ radians
216263	Multiply	(4x^2-5x+6)(2x^4-5x^2+6)	$(4 x^{2} - 5 x + 6) (2 x^{4} - 5 x^{2} + 6)$
216264	Simplify	(c^3)/( fourth root of d^7)	$\frac{c^{3}}{\sqrt[4]{d^{7}}}$
216265	Simplify	Simplify (x^2+4x)/(x-3)*(2x-6)/(10x)	Simplify $\frac{x^{2} + 4 x}{x - 3} \cdot \frac{2 x - 6}{10 x}$
216266	Solve for a	4a^3-ab^2=0	$4 a^{3} - a b^{2} = 0$
216267	Simplify	(x^2-2x)/(x^2+3x-10)+(x-5)/(x+5)	$\frac{x^{2} - 2 x}{x^{2} + 3 x - 10} + \frac{x - 5}{x + 5}$
216268	Evaluate	sixth root of 512	$\sqrt[6]{512}$
216269	Simplify	x/y-y/z	$\frac{x}{y} - \frac{y}{z}$
216270	Simplify	4p*3p^(5/4)	$4 p \cdot 3 p^{\frac{5}{4}}$
216271	Graph	11x-9>13 or -4x-4>8	$11 x - 9 > 13$ or $- 4 x - 4 > 8$
216272	Simplify	(6x^5-9x)/((8x^4-12)/8)	$\frac{6 x^{5} - 9 x}{\frac{8 x^{4} - 12}{8}}$
216273	Find the Exact Value	\|2+3i\|	$\| 2 + 3 i \|$
216274	Solve for q	2(2q+1.5)=18-q	$2 (2 q + 1.5) = 18 - q$
216275	Write in Standard Form	f(x)=-6x^2+x^3+9x	$f (x) = - 6 x^{2} + x^{3} + 9 x$
216276	Simplify/Condense	sin(x)(tan(x)+cot(x))	$\sin (x) (\tan (x) + \cot (x))$
216277	Divide	(18x-12)÷6x	$(18 x - 12) \div 6 x$
216278	Write in Standard Form	(3x^2-2x+2)(-2x^2-3x-1)	$(3 x^{2} - 2 x + 2) (- 2 x^{2} - 3 x - 1)$
216279	Find the Exact Value	tan(pi/3)+sin((5pi)/6)*cos(-(3pi)/4)	$\tan (\frac{π}{3}) + \sin (\frac{5 π}{6}) \cdot \cos (- \frac{3 π}{4})$
216280	Evaluate	4(x+2)-17=35	$4 (x + 2) - 17 = 35$
216281	Simplify	(m^(2/3)n^2)/(m^-1n^3)	$\frac{m^{\frac{2}{3}} n^{2}}{m^{- 1} n^{3}}$
216282	Simplify the Radical Expression	8i-9i6i	$8 i \cdot - 9 i \cdot 6 i$
216283	Expand the Logarithmic Expression	log base 2 of (2^4)/(2^10)	$\log_{2} (\frac{2^{4}}{2^{10}})$
216284	Simplify	(3^(1/3)*27^(2/3))/(8^(4/3))	$\frac{3^{\frac{1}{3}} \cdot 27^{\frac{2}{3}}}{8^{\frac{4}{3}}}$
216285	Solve for y	4y+7=3x-8	$4 y + 7 = 3 x - 8$
216286	Describe the Transformation	y = square root of 3x-1	$y = \sqrt{3 x} - 1$
216287	Convert to Interval Notation	x<=-5 and x<=-3	$x \leq - 5$ and $x \leq - 3$
216288	Subtract	8.3x^2+0.9xy+3.6 7.4x^2-1.7xy+6.4	$8.3 x^{2} + 0.9 x y + 3.6$ $7.4 x^{2} - 1.7 x y + 6.4$
216289	Graph	y>=1.5x-2 y>=-3x x<2 y<=4	$y \geq 1.5 x - 2$ $y \geq - 3 x$ $x < 2$ $y \leq 4$
216290	Solve for x	3^(x+3)-3^(x+2)=162	$3^{x + 3} - 3^{x + 2} = 162$
216291	Evaluate	-3.5*180/pi	$- 3.5 \cdot \frac{180}{π}$
216292	Solve for x	(2(x-3))/3=(x+1)/2	$\frac{2 (x - 3)}{3} = \frac{x + 1}{2}$
216293	Solve for w	12+9(w+20)=-3w	$12 + 9 (w + 20) = - 3 w$
216294	Solve for w	log base 2 of 2w^2- log base 2 of w+3=3	$\log_{2} (2 w^{2}) - \log_{2} (w + 3) = 3$
216295	Solve for y	a(b-y)-a(b-1)=a(ay-b)	$a (b - y) - a (b - 1) = a (a y - b)$
216296	Simplify	(9!-6!+4!)/(4!+7!)	$\frac{9! - 6! + 4!}{4! + 7!}$
216297	Simplify	(7x)/(3- square root of 2)	$\frac{7 x}{3 - \sqrt{2}}$
216298	Evaluate	5^(-3x-1)=25	$5^{- 3 x - 1} = 25$
216299	Simplify	(x^3+x^2y-6xy^2)/(x^2-2xy)	$\frac{x^{3} + x^{2} y - 6 x y^{2}}{x^{2} - 2 x y}$
216300	Factor	-4x^2+(-24x)	$- 4 x^{2} + (- 24 x)$