Mathway | Popular Problems

Popular Problems

Rank	Topic	Problem	Formatted Problem
223201	Simplify	((4^-2)/(4^-7))^(-1/5)	${(\frac{4^{- 2}}{4^{- 7}})}^{- \frac{1}{5}}$
223202	Graph	y=2-1/2 square root of x	$y = 2 - \frac{1}{2} \sqrt{x}$
223203	Simplify	5/(x^2+x-6)-2/(x-2)	$\frac{5}{x^{2} + x - 6} - \frac{2}{x - 2}$
223204	Solve the System of Inequalities	y<-6x-24 y<6x+6	$y < - 6 x - 24$ $y < 6 x + 6$
223205	Simplify	(125^(2/9)*125^(1/9))/(5^(1/4))	$\frac{125^{\frac{2}{9}} \cdot 125^{\frac{1}{9}}}{5^{\frac{1}{4}}}$
223206	Multiply	pi/2*1/4	$\frac{π}{2} \cdot \frac{1}{4}$
223207	Solve the System of Inequalities	x<3 and x>-1	$x < 3$ and $x > - 1$
223208	Simplify	p^2q^2+pq-q^3-p^3	$p^{2} q^{2} + p q - q^{3} - p^{3}$
223209	Find the Complex Conjugate	6+ square root of -16	$6 + \sqrt{- 16}$
223210	Graph	1/2e^x	$\frac{1}{2} e^{x}$
223211	Solve for r	r = square root of 18+7r	$r = \sqrt{18 + 7 r}$
223212	Solve the System of Equations	y=-x-4 y=x	$y = - x - 4$ $y = x$
223213	Solve Using the Quadratic Formula	49=x^2	$49 = x^{2}$
223214	Divide Using Long Polynomial Division	(12x^4+23x^3-9x^2+15x+4)÷(3x-1)	$(12 x^{4} + 23 x^{3} - 9 x^{2} + 15 x + 4) \div (3 x - 1)$
223215	Graph	y=1/6(x-3)+2	$y = \frac{1}{6} (x - 3) + 2$
223216	Divide	( cube root of 32x^5y^7)/( cube root of 4x^2y^4)	$\frac{\sqrt[3]{32 x^{5} y^{7}}}{\sqrt[3]{4 x^{2} y^{4}}}$
223217	Simplify	((-7x)^2y^-3z^4)/(xy^2z^3)	$\frac{{(- 7 x)}^{2} y^{- 3} z^{4}}{x y^{2} z^{3}}$
223218	Solve for w	w=1/w-(2w^2-10w+8)/w	$w = \frac{1}{w} - \frac{2 w^{2} - 10 w + 8}{w}$
223219	Simplify	(csc(x)^2)/(sec(x)^2)	$\frac{\csc^{2} (x)}{\sec^{2} (x)}$
223220	Simplify	(7+a)-(-7a+1)	$(7 + a) - (- 7 a + 1)$
223221	Simplify	(4a^2b^(1/2)c^4)^(1/2)	${(4 a^{2} b^{\frac{1}{2}} c^{4})}^{\frac{1}{2}}$
223222	Evaluate	(4(4)^2+3(4)-1)/(3(4)^2+2(4)+4)	$\frac{4 {(4)}^{2} + 3 (4) - 1}{3 {(4)}^{2} + 2 (4) + 4}$
223223	Simplify	(a^3b^2-a^2b+2b)(-ab)^-1	$(a^{3} b^{2} - a^{2} b + 2 b) {(- a b)}^{- 1}$
223224	Solve for x	y=5(x^3+4)	$y = 5 (x^{3} + 4)$
223225	Simplify	(2a-3b)(3b+2a)	$(2 a - 3 b) (3 b + 2 a)$
223226	Solve for x	3/5+7/(6x)=1/(8x)	$\frac{3}{5} + \frac{7}{6 x} = \frac{1}{8 x}$
223227	Find the Equation with a Point and Slope	What is the equation of the line that passes through the point (-2,-5) and has a slope of -1 ?	What is the equation of the line that passes through the point $(- 2, - 5)$ and has a slope of $- 1$ ?
223228	Find the Equation with a Point and Slope	What is the equation of the line that passes through the point (-2,-1) and has a slope of 3/2 ?	What is the equation of the line that passes through the point $(- 2, - 1)$ and has a slope of $\frac{3}{2}$ ?
223229	Graph	r(x)=1/2x+3/2,x<-3; 1,x=-3; -(x+2)^2+2,-30	$r (x) = {\begin{cases} \frac{1}{2} x + \frac{3}{2}, x < - 3 \\ 1, x = - 3 \\ - {(x + 2)}^{2} + 2, - 30 \end{cases}$
223230	Graph	x+4y=-8 y=1/2x-5	$x + 4 y = - 8$ $y = \frac{1}{2} x - 5$
223231	Write Using Positive Exponents	-8(x^-3y^4)^-5	$- 8 {(x^{- 3} y^{4})}^{- 5}$
223232	Solve for x	(2x)/6=(4x+8)/15	$\frac{2 x}{6} = \frac{4 x + 8}{15}$
223233	Find the Exact Value	sin(2*pi/4)	$\sin (2 \cdot \frac{π}{4})$
223234	Simplify	((x^2-14x+48)/(x^2-x-2)*(16-4x^2)/(x^2-4x-12))÷((x^2+x-72)/(x^2+10x+9))	$\frac{x^{2} - 14 x + 48}{x^{2} - x - 2} \cdot \frac{16 - 4 x^{2}}{x^{2} - 4 x - 12} \div \frac{x^{2} + x - 72}{x^{2} + 10 x + 9}$
223235	Simplify	(25/(4x))/((10x^2)/(8x^4))	$\frac{\frac{25}{4 x}}{\frac{10 x^{2}}{8 x^{4}}}$
223236	Simplify	cube root of square root of 9^3	$\sqrt[3]{\sqrt{9^{3}}}$
223237	Evaluate	fourth root of 2* square root of 3	$\sqrt[4]{2} \cdot \sqrt{3}$
223238	Simplify	(4x^3-3x^2)/(2x)	$\frac{4 x^{3} - 3 x^{2}}{2 x}$
223239	Simplify	( cube root of 81 cube root of 27)/( cube root of 3)	$\frac{\sqrt[3]{81} \sqrt[3]{27}}{\sqrt[3]{3}}$
223240	Simplify	3x^2y^2(x-y)	$3 x^{2} y^{2} (x - y)$
223241	Evaluate	5!2!	$5! 2!$
223242	Find the Degree, Leading Term, and Leading Coefficient	g(x)=8x^3+4x^2+7x^4-9x	$g (x) = 8 x^{3} + 4 x^{2} + 7 x^{4} - 9 x$
223243	Evaluate	pi÷(1/2)	$π \div \frac{1}{2}$
223244	Factor	x^4+x^3-x^2-x-18	$x^{4} + x^{3} - x^{2} - x - 18$
223245	Multiply	3x^4(4x^4-x^5+2)	$3 x^{4} (4 x^{4} - x^{5} + 2)$
223246	Simplify	(x+2)/(x^2-9)*(x+3)/(x^2-4)	$\frac{x + 2}{x^{2} - 9} \cdot \frac{x + 3}{x^{2} - 4}$
223247	Solve for z	square root of 2z+6 = square root of 3z+93	$\sqrt{2 z + 6} = \sqrt{3 z + 93}$
223248	Graph	negative infinity<=x<=infinity	$- \infty \leq x \leq \infty$
223249	Subtract	(4x-x^3+3)-(2x^2-3x^3+1)	$(4 x - x^{3} + 3) - (2 x^{2} - 3 x^{3} + 1)$
223250	Graph	x<-2 or x>4	$x < - 2$ or $x > 4$
223251	Solve the System of Equations	2x+2y-z=4 4x-2y-2z=2 3x+3y-4z=-4	$2 x + 2 y - z = 4$ $4 x - 2 y - 2 z = 2$ $3 x + 3 y - 4 z = - 4$
223252	Solve for h	0.9h=h-0.6	$0.9 h = h - 0.6$
223253	Evaluate	10^x=5	$10^{x} = 5$
223254	Simplify	-(4(m^-3z^4)^2)/(12m^-4z^-1)	$- \frac{4 {(m^{- 3} z^{4})}^{2}}{12 m^{- 4} z^{- 1}}$
223255	Solve for x	1/(6x)=4/15	$\frac{1}{6 x} = \frac{4}{15}$
223256	Simplify	((2x^3-12x^2)/(x^2-4x-12))÷((8x^3+24x^2)/(x^2+9x+18))	$\frac{2 x^{3} - 12 x^{2}}{x^{2} - 4 x - 12} \div \frac{8 x^{3} + 24 x^{2}}{x^{2} + 9 x + 18}$
223257	Divide	((x^2-16)/(x+5))÷((x^2-8x+16)/(2x+10))	$\frac{x^{2} - 16}{x + 5} \div \frac{x^{2} - 8 x + 16}{2 x + 10}$
223258	Simplify	fourth root of r^11 cube root of r^5	$\sqrt[4]{r^{11}} \sqrt[3]{r^{5}}$
223259	Solve the System of Equations	-8x-6y=-58 and x-y=9	$- 8 x - 6 y = - 58$ and $x - y = 9$
223260	Simplify	(1+2x)-(6x+2-5x^4)	$(1 + 2 x) - (6 x + 2 - 5 x^{4})$
223261	Simplify	3xx^4+3xx^3-5x^2x^3-5x^2x	$3 x \cdot x^{4} + 3 x \cdot x^{3} - 5 x^{2} x^{3} - 5 x^{2} x$
223262	Solve for p	e=5s+3p	$e = 5 s + 3 p$
223263	Solve for y	-8/(2y+6)+2=-4/(y+3)	$- \frac{8}{2 y + 6} + 2 = - \frac{4}{y + 3}$
223264	Solve the System of Equations	9r+q=13 3r+2q=-4	$9 r + q = 13$ $3 r + 2 q = - 4$
223265	Divide Using Long Polynomial Division	6x^3+11x^2+9x+2 divided by 3x+1	$6 x^{3} + 11 x^{2} + 9 x + 2$ divided by $3 x + 1$
223266	Solve for x	42/x+9=11	$\frac{42}{x} + 9 = 11$
223267	Solve the Inequality for x	1+ square root of 5x-2>4	$1 + \sqrt{5 x - 2} > 4$
223268	Solve for x	log base 20 of x=1+ log base 20 of 10	$\log_{20} (x) = 1 + \log_{20} (10)$
223269	Solve for s	\|2s-3\|-6>-5	$\| 2 s - 3 \| - 6 > - 5$
223270	Simplify	(y^3x^34^-1m^-2+2x^54)	$(y^{3} x^{3} \cdot 4^{- 1} m^{- 2} + 2 x^{5} \cdot 4)$
223271	Solve the Inequality for g	9.1g+4.5<10.1g	$9.1 g + 4.5 < 10.1 g$
223272	Evaluate	5/8+(3/4)÷(-2/3)-5/6	$\frac{5}{8} + \frac{3}{4} \div (- \frac{2}{3}) - \frac{5}{6}$
223273	Simplify the Radical Expression	-4 square root of 28x* square root of 7x^3	$- 4 \sqrt{28 x} \cdot \sqrt{7 x^{3}}$
223274	Simplify	7 square root of 2* square root of 5* square root of 10	$7 \sqrt{2} \cdot \sqrt{5} \cdot \sqrt{10}$
223275	Simplify	8m^(1/3)(m^(1/3)+2)	$8 m^{\frac{1}{3}} (m^{\frac{1}{3}} + 2)$
223276	Solve for x	(x+11)/7=(2x+1)/-8	$\frac{x + 11}{7} = \frac{2 x + 1}{- 8}$
223277	Graph	f(x)=(x^2+x)/(4x+4)	$f (x) = \frac{x^{2} + x}{4 x + 4}$
223278	Solve the Inequality for a	a = log base 3 of 40- log base 3 of 5+ log base 3 of 2	$a = \log_{3} (40) - \log_{3} (5) + \log_{3} (2)$
223279	Graph	x+4y=8 y=3/4x+6	$x + 4 y = 8$ $y = \frac{3}{4} x + 6$
223280	Simplify	((3xy^2)/(x^4y))^-2	${(\frac{3 x y^{2}}{x^{4} y})}^{- 2}$
223281	Graph	f(x)=0.04(8x-x^2)	$f (x) = 0.04 (8 x - x^{2})$
223282	Simplify	2i^4-2i^3+1^2-i+2	$2 i^{4} - 2 i^{3} + 1^{2} - i + 2$
223283	Simplify	-9x^2y^2+5x^2y-11xy+1-4xy-13x^2y+7	$- 9 x^{2} y^{2} + 5 x^{2} y - 11 x y + 1 - 4 x y - 13 x^{2} y + 7$
223284	Solve the Inequality for P	Q=12-3P	$Q = 12 - 3 P$
223285	Simplify	(x+4)(7x^3+x^2-2x+2)	$(x + 4) (7 x^{3} + x^{2} - 2 x + 2)$
223286	Simplify	-4(2(x-7)+3)+20	$- 4 (2 (x - 7) + 3) + 20$
223287	Simplify	(-1)^3(5x^2y)^3	${(- 1)}^{3} {(5 x^{2} y)}^{3}$
223288	Solve for q	3q^2-5q-6=-3q^2	$3 q^{2} - 5 q - 6 = - 3 q^{2}$
223289	Evaluate the Function	y=3^x , x=5	$y = 3^{x}$ , $x = 5$
223290	Solve the Inequality for x	3(4-6x)>6x	$3 (4 - 6 x) > 6 x$
223291	Simplify	(xy)^-2(30x^5)(xy^-3)	${(x y)}^{- 2} (30 x^{5}) (x y^{- 3})$
223292	Divide	((x+8)/(x^2-64))÷((x-4)/(x^2+x-72))	$\frac{x + 8}{x^{2} - 64} \div \frac{x - 4}{x^{2} + x - 72}$
223293	Graph	f(x)=x(2x+3)	$f (x) = x (2 x + 3)$
223294	Evaluate	log base seventh root of 4 of 64	$\log_{\sqrt[7]{4}} (64)$
223295	Solve the Inequality for y	-2.5<=(1-3y)/2<=1.5	$- 2.5 \leq \frac{1 - 3 y}{2} \leq 1.5$
223296	Evaluate	-2(4)^-1	$- 2 {(4)}^{- 1}$
223297	Divide	((x^2-5x-6)/(2x+6))÷((x^2-3x-4)/(4x+12))	$\frac{x^{2} - 5 x - 6}{2 x + 6} \div \frac{x^{2} - 3 x - 4}{4 x + 12}$
223298	Solve the Absolute Value Inequality for x	\|x\|=-x	$\| x \| = - x$
223299	Graph	y>xy	$y > x y$
223300	Simplify	square root of 3-x* square root of x^2-1	$\sqrt{3 - x} \cdot \sqrt{x^{2} - 1}$