Mathway | Popular Problems

Popular Problems

Rank	Topic	Problem	Formatted Problem
186201	Solve the System of Equations	x+y=5 2x+2y=10	$x + y = 5$ $2 x + 2 y = 10$
186202	Evaluate	5(x+h)^2	$5 {(x + h)}^{2}$
186203	Simplify	(x-4i)^2	${(x - 4 i)}^{2}$
186204	Convert to Radical Form	(7^0.25)^(1/2)	${(7^{0.25})}^{\frac{1}{2}}$
186205	Simplify	5x square root of 28x^5+8x^3 square root of 7x	$5 x \sqrt{28 x^{5}} + 8 x^{3} \sqrt{7 x}$
186206	Evaluate	3(-1/2)^2	$3 {(- \frac{1}{2})}^{2}$
186207	Subtract	3/8-7/8	$\frac{3}{8} - \frac{7}{8}$
186208	Find All Complex Solutions	tan(2x)=0	$\tan (2 x) = 0$
186209	Evaluate the Function	f(3) = square root of 3-5	$f (3) = \sqrt{3 - 5}$
186210	Find the Distance Between Two Points	(-6,6) and (3,-6)	$(- 6, 6)$ and $(3, - 6)$
186211	Rationalize the Denominator	( square root of 2- square root of 5)/( square root of 2+ square root of 5)	$\frac{\sqrt{2} - \sqrt{5}}{\sqrt{2} + \sqrt{5}}$
186212	Solve the Inequality for m	m>=5m-4	$m \geq 5 m - 4$
186213	Find the Quadratic Equation Given the Roots	4 and 5	$4$ and $5$
186214	Find the Domain and Range	y = log base x of x+3	$y = \log_{x} (x + 3)$
186215	Graph	y=x^3-3,x<=2; x^2+6,x>2	$y = {\begin{cases} x^{3} - 3, x \leq 2 \\ x^{2} + 6, x > 2 \end{cases}$
186216	Subtract	6/(m^2-14m+45)-(m+7)/(m^2+2m-35)	$\frac{6}{m^{2} - 14 m + 45} - \frac{m + 7}{m^{2} + 2 m - 35}$
186217	Graph	\|x+2\|-5=-(x-1)(x-3)	$\| x + 2 \| - 5 = - (x - 1) (x - 3)$
186218	Solve the System of Equations	y=3x-2 and y=-x-6	$y = 3 x - 2$ and $y = - x - 6$
186219	Solve the Inequality for x	-4<=11-3x	$- 4 \leq 11 - 3 x$
186220	Find the x and y Intercepts	f(x)=2x(5x-6)	$f (x) = 2 x (5 x - 6)$
186221	Convert to Meters	6cm	$6 cm$
186222	Write in Standard Form	(2x^2+3y^2-z^2)-(x^2-y^2-z^2)+(4x^2-3y^2)	$(2 x^{2} + 3 y^{2} - z^{2}) - (x^{2} - y^{2} - z^{2}) + (4 x^{2} - 3 y^{2})$
186223	Divide	(27x^12y^2+45x^9z^5)/(9x^3y^3z^7)	$\frac{27 x^{12} y^{2} + 45 x^{9} z^{5}}{9 x^{3} y^{3} z^{7}}$
186224	Divide	6x^4-2x^3-13x-7 by 3x+8	$6 x^{4} - 2 x^{3} - 13 x - 7$ by $3 x + 8$
186225	Find the Exact Value	e^-3	$e^{- 3}$
186226	Solve for x	\|2x+12\|=4x	$\| 2 x + 12 \| = 4 x$
186227	Solve Using the Quadratic Formula	d(7d-6)+4=0	$d (7 d - 6) + 4 = 0$
186228	Find the Holes in the Graph	(x^2+x-6)/(-4x^2-16x-12)	$\frac{x^{2} + x - 6}{- 4 x^{2} - 16 x - 12}$
186229	Solve for m	m^2-36=0	$m^{2} - 36 = 0$
186230	Solve for y	6y+9+2y-5=8y+17-4y	$6 y + 9 + 2 y - 5 = 8 y + 17 - 4 y$
186231	Rationalize the Denominator	125/( cube root of 5)	$\frac{125}{\sqrt[3]{5}}$
186232	Graph	h(x)=-3(x+1)(x^2-4)	$h (x) = - 3 (x + 1) (x^{2} - 4)$
186233	Simplify the Radical Expression	fifth root of x^6	$\sqrt[5]{x^{6}}$
186234	Solve the System of Equations	y=-3x^2+2 and y=4x^2+3	$y = - 3 x^{2} + 2$ and $y = 4 x^{2} + 3$
186235	Solve for k	2-4(3+4k)=54	$2 - 4 (3 + 4 k) = 54$
186236	Graph	f(x)=\|2-x\|	$f (x) = \| 2 - x \|$
186237	Simplify	2 cube root of (3x-5)^3+8	$2 \sqrt[3]{{(3 x - 5)}^{3}} + 8$
186238	Evaluate	(a+b+c)^2	${(a + b + c)}^{2}$
186239	Solve for z	wx+yz=bc	$w x + y z = b c$
186240	Solve for x	-x(x+7)(10x+3)=0	$- x (x + 7) (10 x + 3) = 0$
186241	Factor	4a-1-4ab+b	$4 a - 1 - 4 a b + b$
186242	Graph	y=x^2+2,x>1; -x+2,x>=1	$y = {\begin{cases} x^{2} + 2, x > 1 \\ - x + 2, x \geq 1 \end{cases}$
186243	Solve for x	1+3/(x+4)=3/(x^2+9x+20)	$1 + \frac{3}{x + 4} = \frac{3}{x^{2} + 9 x + 20}$
186244	Graph	P(x)=x^4-16	$P (x) = x^{4} - 16$
186245	Solve the Inequality for x	(x+2)/((x-1)^2(x+7))<=0	$\frac{x + 2}{{(x - 1)}^{2} (x + 7)} \leq 0$
186246	Simplify	(11^3)÷(11^3)*11^3	$11^{3} \div 11^{3} \cdot 11^{3}$
186247	Solve for x	0=0.25x^2-8x	$0 = 0.25 x^{2} - 8 x$
186248	Graph	g(x)=-(x-1)(x^2-9)	$g (x) = - (x - 1) (x^{2} - 9)$
186249	Subtract	Subtract 5x^2-2x-5 from -2x^2-5x-7	Subtract $5 x^{2} - 2 x - 5$ from $- 2 x^{2} - 5 x - 7$
186250	Simplify	(18x^-4y^2z^0)/(12x^-2y^-3z^4)	$\frac{18 x^{- 4} y^{2} z^{0}}{12 x^{- 2} y^{- 3} z^{4}}$
186251	Solve for θ	tan(theta)=3/2	$\tan (θ) = \frac{3}{2}$
186252	Simplify	sec(x)cot(x)-cot(x)cos(x)	$\sec (x) \cot (x) - \cot (x) \cos (x)$
186253	Find f(g(x))	f(x) = square root of x+8 , g(x)=8x-12	$f (x) = \sqrt{x + 8}$ , $g (x) = 8 x - 12$
186254	Simplify	x/2-3x+4(x+1)	$\frac{x}{2} - 3 x + 4 (x + 1)$
186255	Solve the Inequality for x	x^2(x+9)(x-5)>=0	$x^{2} \cdot (x + 9) \cdot (x - 5) \geq 0$
186256	Solve for a	(\|a-5\|)/8=5	$\frac{\| a - 5 \|}{8} = 5$
186257	Simplify the Radical Expression	square root of -52	$\sqrt{- 52}$
186258	Solve the Inequality for x	x-6>21-8x	$x - 6 > 21 - 8 x$
186259	Solve for x	log of 4+ log of x+2=1	$\log (4) + \log (x + 2) = 1$
186260	Multiply	3/45/73	$\frac{3}{4} \cdot \frac{5}{7} \cdot 3$
186261	Write in Slope-Intercept Form	5x-3y<=-15	$5 x - 3 y \leq - 15$
186262	Solve for x	1/3x-2/3=-18	$\frac{1}{3} x - \frac{2}{3} = - 18$
186263	Find the Quotient	(x^4-16)÷(x-2)	$(x^{4} - 16) \div (x - 2)$
186264	Solve for y	(13y-15)-(9+6y)=-3y	$(13 y - 15) - (9 + 6 y) = - 3 y$
186265	Solve the System of Equations	x-y+z=-1 x+y-2z=7 -2x+4y+2z=-4	$x - y + z = - 1$ $x + y - 2 z = 7$ $- 2 x + 4 y + 2 z = - 4$
186266	Find the Distance Between Two Points	(0,-3) and (6,3)	$(0, - 3)$ and $(6, 3)$
186267	Graph	g(x)=2x+3,x>4; -2x+3,x<=4	$g (x) = {\begin{cases} 2 x + 3, x > 4 \\ - 2 x + 3, x \leq 4 \end{cases}$
186268	Solve for x	\|2x+4\|>=\|x+5\|	$\| 2 x + 4 \| \geq \| x + 5 \|$
186269	Find the Inverse	y=( square root of x+1)/3	$y = \frac{\sqrt{x + 1}}{3}$
186270	Convert to a Decimal	230deg	$230$ degrees
186271	Find the Roots (Zeros)	0=x^4+x^3+4x^2+6x-12	$0 = x^{4} + x^{3} + 4 x^{2} + 6 x - 12$
186272	Factor by Grouping	1+a+3ab+3b	$1 + a + 3 a b + 3 b$
186273	Find the Excluded Values	(8x-16)/(x^2-13x+22)	$\frac{8 x - 16}{x^{2} - 13 x + 22}$
186274	Factor	6am-4an-2n+3m	$6 a m - 4 a n - 2 n + 3 m$
186275	Simplify	( square root of 2)/2*2/( square root of 2)	$\frac{\sqrt{2}}{2} \cdot \frac{2}{\sqrt{2}}$
186276	Solve the System of Equations	y+4z=-14 x+3z=-8 2x-3y=8	$y + 4 z = - 14$ $x + 3 z = - 8$ $2 x - 3 y = 8$
186277	Graph	f(x)=-\|1/3(x+3)\|	$f (x) = - \| \frac{1}{3} (x + 3) \|$
186278	Multiply	(z^2+5z-24)/(12z+132)*(10z+110)/(-z^2+z+6)	$\frac{z^{2} + 5 z - 24}{12 z + 132} \cdot \frac{10 z + 110}{- z^{2} + z + 6}$
186279	Find the Exact Value	sin(570 degrees )	$\sin (570 °)$
186280	Solve for r	8r+11r-5r-12r=42	$8 r + 11 r - 5 r - 12 r = 42$
186281	Solve for x	3/4(2-mx)=12	$\frac{3}{4} (2 - m x) = 12$
186282	Convert to a Decimal	-240deg	$- 240$ degrees
186283	Solve for l	c=(100B)/l	$c = \frac{100 B}{l}$
186284	Solve the Inequality for m	2(-3m-5)>=-28	$2 (- 3 m - 5) \geq - 28$
186285	Solve the Inequality for q	3/4q-2/3q<5/12q-1/12	$\frac{3}{4} q - \frac{2}{3} q < \frac{5}{12} q - \frac{1}{12}$
186286	Solve the Inequality for a	(4a-1)/5-(3a-5)/3>a	$\frac{4 a - 1}{5} - \frac{3 a - 5}{3} > a$
186287	Solve for t	(t+-a)(t+-b)=0	$(t + - a) (t + - b) = 0$
186288	Simplify	cube root of 64(y^2-3)^18	$\sqrt[3]{64 {(y^{2} - 3)}^{18}}$
186289	Convert to Interval Notation	{x\|-7<=x<=-5}	${x \| - 7 \leq x \leq - 5}$
186290	Solve for x	\|-2x\|+10=-50	$\| - 2 x \| + 10 = - 50$
186291	Solve for x	8+x+2=4x-2	$8 + x + 2 = 4 x - 2$
186292	Graph	f(x)=(x^2+3x)/(x^2+x-6)	$f (x) = \frac{x^{2} + 3 x}{x^{2} + x - 6}$
186293	Simplify	1/2(2a+4)	$\frac{1}{2} (2 a + 4)$
186294	Solve for k	25x^2+kx+4=0	$25 x^{2} + k x + 4 = 0$
186295	Solve for a	a^2=1	$a^{2} = 1$
186296	Solve the System of Equations	2a-3b-4c=5 5a-4b-2c=4 6a-9b-12c=5	$2 a - 3 b - 4 c = 5$ $5 a - 4 b - 2 c = 4$ $6 a - 9 b - 12 c = 5$
186297	Simplify	2 fourth root of 8w^3*3 fourth root of 32w^5	$2 \sqrt[4]{8 w^{3}} \cdot 3 \sqrt[4]{32 w^{5}}$
186298	Solve the System of Inequalities	5-m<4 or 7m>35	$5 - m < 4$ or $7 m > 35$
186299	Simplify	(-1.4z+0.7)*40	$(- 1.4 z + 0.7) \times 40$
186300	Find f(g(x))	f(x)=x^2+x-8 g(x)=x+7	$f (x) = x^{2} + x - 8$ $g (x) = x + 7$