Mathway | Popular Problems

Popular Problems

Rank	Topic	Problem	Formatted Problem
175201	Solve for x	4/x+3/x=14	$\frac{4}{x} + \frac{3}{x} = 14$
175202	Solve for x	7x^2=9+x	$7 x^{2} = 9 + x$
175203	Solve the Absolute Value Inequality for h	\|3h+1\|=7h	$\| 3 h + 1 \| = 7 h$
175204	Solve the Inequality for x	6-2/3x<x-9	$6 - \frac{2}{3} x < x - 9$
175205	Solve for x	(2x-5)/(x-4)=11/(x-4)	$\frac{2 x - 5}{x - 4} = \frac{11}{x - 4}$
175206	Graph	x+2y<=2 x+y>=0	$x + 2 y \leq 2$ $x + y \geq 0$
175207	Find the Exact Value	(1,728)	$(1, 728)$
175208	Simplify	(4p^11)/(8p^6)	$\frac{4 \cdot p^{11}}{8 \cdot p^{6}}$
175209	Solve for a	2+(2a)/3=4	$2 + \frac{2 a}{3} = 4$
175210	Simplify	x^2-3xy-5xy-7y^2+4x^2+8y^2	$x^{2} - 3 x y - 5 x y - 7 y^{2} + 4 x^{2} + 8 y^{2}$
175211	Solve for x	8x=2\|6x-2\|	$8 x = 2 \| 6 x - 2 \|$
175212	Solve for f	\|f+10\|=1	$\| f + 10 \| = 1$
175213	Find the Inverse	f(x)=-(2x)/5	$f (x) = - \frac{2 x}{5}$
175214	Solve for y	1/(2y)-1/(6y^2)=-7/(6y^2)	$\frac{1}{2 y} - \frac{1}{6 y^{2}} = - \frac{7}{6 y^{2}}$
175215	Solve for f	2/5f+2=-1/2(8+12/5f)-6	$\frac{2}{5} f + 2 = - \frac{1}{2} (8 + \frac{12}{5} f) - 6$
175216	Evaluate	square root of cube root of 64	$\sqrt{\sqrt[3]{64}}$
175217	Graph	3-2(n-4)>-1	$3 - 2 (n - 4) > - 1$
175218	Write in Standard Form	x+4=x^2	$x + 4 = x^{2}$
175219	Graph	f(1/3x)	$f (\frac{1}{3} x)$
175220	Graph	x<=32y^2	$x \leq 32 y^{2}$
175221	Find the x and y Intercepts	(3x-3)/(x^2-1)	$\frac{3 x - 3}{x^{2} - 1}$
175222	Graph	y<-x-6 y>1/2x-3	$y < - x - 6$ $y > \frac{1}{2} x - 3$
175223	Simplify	(k^10+9k^5+18)/(k^10+6k^5+9)	$\frac{k^{10} + 9 k^{5} + 18}{k^{10} + 6 k^{5} + 9}$
175224	Simplify	8x^3y^2 square root of 12x^2y^5	$8 x^{3} y^{2} \sqrt{12 x^{2} y^{5}}$
175225	Solve for x	cot(x-pi/2)=1	$\cot (x - \frac{π}{2}) = 1$
175226	Simplify the Radical Expression	- square root of -18	$- \sqrt{- 18}$
175227	Solve for x	8(2^(x+3))=48	$8 (2^{x + 3}) = 48$
175228	Simplify	12+3.4x-5.4x-x	$12 + 3.4 x - 5.4 x - x$
175229	Solve for n	a(n-3)+8=bn	$a (n - 3) + 8 = b n$
175230	Factor by Grouping	25wx-5wy-5xz+yz	$25 w x - 5 w y - 5 x z + y z$
175231	Solve for x	1/(x^2)-16=0	$\frac{1}{x^{2}} - 16 = 0$
175232	Solve for x	3 square root of 5x-5=12+3 square root of 7-x	$3 \sqrt{5 x - 5} = 12 + 3 \sqrt{7 - x}$
175233	Find the Inverse	g(x)	$g (x)$
175234	Evaluate	x+5=8	$x + 5 = 8$
175235	Solve for x	5x+3/2=6-2/3x	$5 x + \frac{3}{2} = 6 - \frac{2}{3} x$
175236	Solve for x	2x^2+8x=x^2-16 ?	$2 x^{2} + 8 x = x^{2} - 16$ ?
175237	Find the Degree, Leading Term, and Leading Coefficient	f(x)=9x^4+8x^3-6x^-2+2x	$f (x) = 9 x^{4} + 8 x^{3} - 6 x^{- 2} + 2 x$
175238	Find the Product	(8+3a)(8-3a)	$(8 + 3 a) (8 - 3 a)$
175239	Combine Like Terms	(7b^5-4b)(7b^5+4b)	$(7 b^{5} - 4 b) (7 b^{5} + 4 b)$
175240	Solve the Inequality for x	-5(x+7)<-10	$- 5 (x + 7) < - 10$
175241	Graph	f(x)=x+3 if -2<=x<1; 5 if x=1; -x+2 if x>1	$f (x) = {\begin{cases} x + 3 & - 2 \leq x < 1 \\ 5 & x = 1 \\ - x + 2 & x > 1 \end{cases}$
175242	Solve the Inequality for n	-132>12(n+9)	$- 132 > 12 (n + 9)$
175243	Graph	y=-5/2cos(x)	$y = - \frac{5}{2} \cos (x)$
175244	Simplify	(x+ square root of 5)(x- square root of 5)	$(x + \sqrt{5}) (x - \sqrt{5})$
175245	Factor	4x^6y^12-108	$4 x^{6} y^{12} - 108$
175246	Solve for a	(ma)/(th)=1	$\frac{m a}{t h} = 1$
175247	Solve for u	b=hu ; for u	$b = h u$ ; for $u$
175248	Evaluate	-2 cube root of 64+-5^2	$- 2 \sqrt[3]{64} + - 5^{2}$
175249	Solve for b	3/4(b-4)+7=1/3b+3+3/4b	$\frac{3}{4} (b - 4) + 7 = \frac{1}{3} b + 3 + \frac{3}{4} b$
175250	Solve the Inequality for x	(4x-3)/2>=-3.5	$\frac{4 x - 3}{2} \geq - 3.5$
175251	Simplify	(10(c^2d^-8)^3)/(2c^-1d^4)	$\frac{10 {(c^{2} d^{- 8})}^{3}}{2 c^{- 1} d^{4}}$
175252	Subtract	(a^3-2a^2)-(3a^2-4a^3)	$(a^{3} - 2 a^{2}) - (3 a^{2} - 4 a^{3})$
175253	Simplify	(1/4-1/(8x))/(1/x-1/(2x^2))	$\frac{\frac{1}{4} - \frac{1}{8 x}}{\frac{1}{x} - \frac{1}{2 x^{2}}}$
175254	Evaluate	-4/(2(1))	$- \frac{4}{2 (1)}$
175255	Find the x and y Intercepts	r(x)=(x^2)/(x^2+x-2)	$r (x) = \frac{x^{2}}{x^{2} + x - 2}$
175256	Evaluate	108÷(3(9+3^2))	$108 \div (3 (9 + 3^{2}))$
175257	Simplify	(m^6n^-2p^4)/(m^2n^4p)	$\frac{m^{6} n^{- 2} p^{4}}{m^{2} n^{4} p}$
175258	Find Where Undefined/Discontinuous	f(x)=(-11x+1)/(-30x^2-25x+5)	$f (x) = \frac{- 11 x + 1}{- 30 x^{2} - 25 x + 5}$
175259	Find the Vertex Form	y=3x^2+12x+23/2	$y = 3 x^{2} + 12 x + \frac{23}{2}$
175260	Solve the Inequality for b	3(2-b)<10-3(b-6)	$3 (2 - b) < 10 - 3 (b - 6)$
175261	Write in Standard Form	x(x+5)-2x=0	$x (x + 5) - 2 x = 0$
175262	Write in Standard Form	-2x+4x^2+17=-5x	$- 2 x + 4 x^{2} + 17 = - 5 x$
175263	Solve for d	1/2(d+4)=d-1	$\frac{1}{2} (d + 4) = d - 1$
175264	Solve for x	5(x-3)+x=3(2x-5)	$5 (x - 3) + x = 3 (2 x - 5)$
175265	Rationalize the Denominator	(4- square root of 3)/( square root of 5)	$\frac{4 - \sqrt{3}}{\sqrt{5}}$
175266	Simplify	((3x^2-2x-1)/(x^2-3x+2))÷((3x^2+7x+2)/(3x^2+5x-2))	$\frac{3 x^{2} - 2 x - 1}{x^{2} - 3 x + 2} \div \frac{3 x^{2} + 7 x + 2}{3 x^{2} + 5 x - 2}$
175267	Solve for y	-1/3y+4x=3	$- \frac{1}{3} y + 4 x = 3$
175268	Factor	x^2y+36xy	$x^{2} y + 36 x y$
175269	Solve the Inequality for x	(x-5)/(x+2)>=(x-8)/x	$\frac{x - 5}{x + 2} \geq \frac{x - 8}{x}$
175270	Factor	P(x)=x^3+3x^2+x+3	$P (x) = x^{3} + 3 x^{2} + x + 3$
175271	Divide	(-5m^5n^2-1/2m^4n^4+2/3m^3n-4mn^4)÷(-4m^5n^3)	$(- 5 m^{5} n^{2} - \frac{1}{2} m^{4} n^{4} + \frac{2}{3} m^{3} n - 4 m n^{4}) \div (- 4 m^{5} n^{3})$
175272	Solve for m	3/5m^2=3	$\frac{3}{5} m^{2} = 3$
175273	Solve for θ	cos(2theta)=( square root of 2)/2	$\cos (2 θ) = \frac{\sqrt{2}}{2}$
175274	Solve for x	-9x^2=9	$- 9 x^{2} = 9$
175275	Solve the System of Inequalities	-5<=(4-3x)/2<1	$- 5 \leq \frac{4 - 3 x}{2} < 1$
175276	Simplify	( square root of 2)/( square root of 72+ square root of 50- square root of 8)	$\frac{\sqrt{2}}{\sqrt{72} + \sqrt{50} - \sqrt{8}}$
175277	Rationalize the Denominator	( cube root of 3)/( cube root of 2x)	$\frac{\sqrt[3]{3}}{\sqrt[3]{2 x}}$
175278	Combine Like Terms	(-9x^2-2x)-(-9x^2-3x)	$(- 9 x^{2} - 2 x) - (- 9 x^{2} - 3 x)$
175279	Solve the System of Equations	1/3x+1/4y=1 2x-3y=-30	$\frac{1}{3} x + \frac{1}{4} y = 1$ $2 x - 3 y = - 30$
175280	Combine Like Terms	6(x+1)-5(x+2)	$6 (x + 1) - 5 (x + 2)$
175281	Find the LCM	12x^2y^3 and 15x^3y	$12 x^{2} y^{3}$ and $15 x^{3} y$
175282	Graph	6x+\|y\|=0	$6 x + \| y \| = 0$
175283	Divide	( square root of 7x^2)÷( square root of 3x)	$\sqrt{7 x^{2}} \div \sqrt{3 x}$
175284	Identify the Sequence	1 , 3 , 9 , 27 , 81 , 243	$1$ , $3$ , $9$ , $27$ , $81$ , $243$
175285	Solve for x	9/(x^2-9)-(x+1)/(2x+6)=(2-x)/(2x-6)	$\frac{9}{x^{2} - 9} - \frac{x + 1}{2 x + 6} = \frac{2 - x}{2 x - 6}$
175286	Simplify	(7/3)^-2	${(\frac{7}{3})}^{- 2}$
175287	Simplify	square root of -3/4	$\sqrt{- \frac{3}{4}}$
175288	Solve for θ	sin(2theta)+ square root of 3cos(theta)=0	$\sin (2 θ) + \sqrt{3} \cos (θ) = 0$
175289	Graph	y=-1/2 square root of x+3	$y = - \frac{1}{2} \sqrt{x + 3}$
175290	Solve the System of Inequalities	x-8<=-12 or 2>x-8	$x - 8 \leq - 12$ or $2 > x - 8$
175291	Simplify	((5x^13y^5z^2)/(3*5^2))^0	${(\frac{5 x^{13} y^{5} z^{2}}{3 \cdot 5^{2}})}^{0}$
175292	Solve for x	log base 1/2 of 4=x	$\log_{\frac{1}{2}} (4) = x$
175293	Solve for x	square root of 3x^2+12x+13=2x+5	$\sqrt{3 x^{2} + 12 x + 13} = 2 x + 5$
175294	Factor	8+36x+54x^2+27x^3	$8 + 36 x + 54 x^{2} + 27 x^{3}$
175295	Solve for q₁	f=(kq_1q_2)/(r^2)	$f = \frac{k q_{1} q_{2}}{r^{2}}$
175296	Graph Using a Table of Values	f(x)=-1/2(2)^x	$f (x) = - \frac{1}{2} {(2)}^{x}$
175297	Simplify	(2x+4)/(x^2+10x+21)*(x^2+4x-21)/(2x^2-2x-12)	$\frac{2 x + 4}{x^{2} + 10 x + 21} \cdot \frac{x^{2} + 4 x - 21}{2 x^{2} - 2 x - 12}$
175298	Find the Exact Value	cos((13pi)/15)cos(-pi/5)-sin((13pi)/15)sin(-pi/5)	$\cos (\frac{13 π}{15}) \cos (- \frac{π}{5}) - \sin (\frac{13 π}{15}) \sin (- \frac{π}{5})$
175299	Evaluate	square root of x^2+81=x+10	$\sqrt{x^{2} + 81} = x + 10$
175300	Evaluate	1/2*pi	$\frac{1}{2} \cdot π$