Mathway | Popular Problems

Popular Problems

Rank	Topic	Problem	Formatted Problem
191401	Solve for x	(x+7)/(x+4)+3/(x+6)=3/(x+6)	$\frac{x + 7}{x + 4} + \frac{3}{x + 6} = \frac{3}{x + 6}$
191402	Simplify	100^(1/2)-125^(1/3)	$100^{\frac{1}{2}} - 125^{\frac{1}{3}}$
191403	Multiply	(7a-1)(x^2+2x-5)	$(7 a - 1) (x^{2} + 2 x - 5)$
191404	Solve for x	8 1/3-x=5 1/4-14 1/2	$8 \frac{1}{3} - x = 5 \frac{1}{4} - 14 \frac{1}{2}$
191405	Subtract	(8x)/(x^2+8x+16)-6/(x^2+4x)	$\frac{8 x}{x^{2} + 8 x + 16} - \frac{6}{x^{2} + 4 x}$
191406	Multiply	(3m^3n^2)(4mn+2m^3n-3m^2n^3p)	$(3 m^{3} n^{2}) (4 m n + 2 m^{3} n - 3 m^{2} n^{3} p)$
191407	Solve for x	x+(2/3x-15)=180	$x + (\frac{2}{3} x - 15) = 180$
191408	Solve the Inequality for x	(x-3)^2+5x>=(1-x)^2+3x	${(x - 3)}^{2} + 5 x \geq {(1 - x)}^{2} + 3 x$
191409	Find All Complex Solutions	square root of 1-3x=x+3	$\sqrt{1 - 3 x} = x + 3$
191410	Find the Roots (Zeros)	9x^2-4=7x^2-7x	$9 x^{2} - 4 = 7 x^{2} - 7 x$
191411	Solve for x	log base a of a^2=x	$\log_{a} (a^{2}) = x$
191412	Simplify	3x^2-5x^3-x(2x^2+4x)	$3 x^{2} - 5 x^{3} - x (2 x^{2} + 4 x)$
191413	Evaluate	2/2+7+4+4+2	$\frac{2}{2} + 7 + 4 + 4 + 2$
191414	Solve for g	g/h=e-10 for g	$\frac{g}{h} = e - 10$ for $g$
191415	Factor by Grouping	x^4-2x^2+1	$x^{4} - 2 x^{2} + 1$
191416	Combine Like Terms	-5(1+2k)-8(-4+5k)	$- 5 (1 + 2 k) - 8 (- 4 + 5 k)$
191417	Simplify the Radical Expression	square root of (348m^3n^9)/(147m^2n^11)	$\sqrt{\frac{348 m^{3} n^{9}}{147 m^{2} n^{11}}}$
191418	Simplify	1/2x-(-2x+1/10(3x^2-5(1/4x-x^2)+1/4x^2))	$\frac{1}{2} x - (- 2 x + \frac{1}{10} (3 x^{2} - 5 (\frac{1}{4} x - x^{2}) + \frac{1}{4} x^{2}))$
191419	Multiply	(18x^3y^2z^5)*(6x^3yz^2)	$(18 x^{3} y^{2} z^{5}) \cdot (6 x^{3} y z^{2})$
191420	Simplify the Radical Expression	square root of 3/8	$\sqrt{\frac{3}{8}}$
191421	Evaluate	(10!)/((10-10)!)	$\frac{10!}{(10 - 10)!}$
191422	Graph	y=3/4(x+1)(x-3)	$y = \frac{3}{4} (x + 1) (x - 3)$
191423	Solve the Inequality for r	4r-5<5r+7	$4 r - 5 < 5 r + 7$
191424	Find the Points of Intersection	x^2+y=6 x+y=4	$x^{2} + y = 6$ $x + y = 4$
191425	Solve the System of Equations	1/5x-2y=-2/5 1/3x+1/2y=7	$\frac{1}{5} x - 2 y = - \frac{2}{5}$ $\frac{1}{3} x + \frac{1}{2} y = 7$
191426	Describe the Transformation	g(x)=f(3x)	$g (x) = f (3 x)$
191427	Solve for t	t^3+18t^2+81t=0	$t^{3} + 18 t^{2} + 81 t = 0$
191428	Find All Complex Solutions	sin(x)cos(x)=( square root of 3)/4	$\sin (x) \cos (x) = \frac{\sqrt{3}}{4}$
191429	Simplify	(2x^2-8x)/(12-3x)	$\frac{2 x^{2} - 8 x}{12 - 3 x}$
191430	Evaluate	fourth root of x^5	$\sqrt[4]{x^{5}}$
191431	Find the Domain and Range	y=-1/2cos(2x)	$y = - \frac{1}{2} \cos (2 x)$
191432	Simplify	square root of -5^2	$\sqrt{- 5^{2}}$
191433	Evaluate	( cube root of x-1)^3+1	${(\sqrt[3]{x - 1})}^{3} + 1$
191434	Find the Inverse	y=(2x+1)/(3-2x)	$y = \frac{2 x + 1}{3 - 2 x}$
191435	Divide	((x^2-5x+4)/(x^2))÷((x-1)/x)	$\frac{x^{2} - 5 x + 4}{x^{2}} \div \frac{x - 1}{x}$
191436	Solve the Inequality for w	-6(w+1)<2(w+5)	$- 6 (w + 1) < 2 (w + 5)$
191437	Solve for x	3(x-4)<=8x+13	$3 (x - 4) \leq 8 x + 13$
191438	Graph	f(x)=x^5-x^4+x^2+11	$f (x) = x^{5} - x^{4} + x^{2} + 11$
191439	Solve the System of Equations	x+3y=1 -2y-z=1 4x-3z=13	$x + 3 y = 1$ $- 2 y - z = 1$ $4 x - 3 z = 13$
191440	Solve for x	h(3)=-16x^2+200	$h (3) = - 16 x^{2} + 200$
191441	Solve for v	(4v)/(v-1)-(5v)/(v-2)=2/(v^2-3v+2)	$\frac{4 v}{v - 1} - \frac{5 v}{v - 2} = \frac{2}{v^{2} - 3 v + 2}$
191442	Solve for I	IR+Ir=E	$I R + I r = E$
191443	Solve for x	\|x+3\|<=\|2x-3\|	$\| x + 3 \| \leq \| 2 x - 3 \|$
191444	Graph	f(x)=1/2sin(2x)	$f (x) = \frac{1}{2} \sin (2 x)$
191445	Simplify	-7x>10	$- 7 x > 10$
191446	Solve by Addition/Elimination	5x=15-5y 8y+26=2x	$5 x = 15 - 5 y$ $8 y + 26 = 2 x$
191447	Simplify	(4x+8x^2-8)+(x^2+7-4x)	$(4 x + 8 x^{2} - 8) + (x^{2} + 7 - 4 x)$
191448	Solve for k	4 2/5+k=-3 2/11	$4 \frac{2}{5} + k = - 3 \frac{2}{11}$
191449	Solve for n	(n+4)/2-3=13	$\frac{n + 4}{2} - 3 = 13$
191450	Evaluate	86-((4-9)^2*3)	$86 - ({(4 - 9)}^{2} \cdot 3)$
191451	Evaluate	x^(3/2)=125	$x^{\frac{3}{2}} = 125$
191452	Find the Equation of the Circle	center (-4,3) ; radius square root of 7	center $(- 4, 3)$ ; radius $\sqrt{7}$
191453	Simplify	(1/x)(1/x)	$(\frac{1}{x}) (\frac{1}{x})$
191454	Find the Inverse	f(x)=(2x+5)/(3x)	$f (x) = \frac{2 x + 5}{3 x}$
191455	Graph	a(x)=(x+1)(x+5)	$a (x) = (x + 1) (x + 5)$
191456	Divide	3a^3-5ab^2-6a^2b^3 entre -2a	$3 a^{3} - 5 a b^{2} - 6 a^{2} b^{3}$ entre $- 2 a$
191457	Solve for l	p=2(l+w) for l	$p = 2 (l + w)$ for $l$
191458	Graph	\|2x-4\|>=2	$\| 2 x - 4 \| \geq 2$
191459	Solve for x	12-(3x+13)=0	$12 - (3 x + 13) = 0$
191460	Simplify	(1/(x^2)-1)/((x-4)/5-1/x)	$\frac{\frac{1}{x^{2}} - 1}{\frac{x - 4}{5} - \frac{1}{x}}$
191461	Find the Exact Value	12-(-25)-53	$12 - (- 2 \cdot 5) - 5 \cdot 3$
191462	Graph	x^(-)*4	$x^{-} \cdot 4$
191463	Solve for x	(x+11)/2-(2x+3)/5=5	$\frac{x + 11}{2} - \frac{2 x + 3}{5} = 5$
191464	Solve for x	x/(2x-3)+4/(x+1)=1	$\frac{x}{2 x - 3} + \frac{4}{x + 1} = 1$
191465	Find the Domain and Range	4/(3-x)	$\frac{4}{3 - x}$
191466	Solve for x	3/(x-4)>0	$\frac{3}{x - 4} > 0$
191467	Solve for x	2(x-3)+5x<=9x-14	$2 (x - 3) + 5 x \leq 9 x - 14$
191468	Solve for x	3/2-3/2x=6(-4x-1)+9x	$\frac{3}{2} - \frac{3}{2} x = 6 (- 4 x - 1) + 9 x$
191469	Solve for g	p=(g-9)*180	$p = (g - 9) \cdot 180$
191470	Simplify	2(2 square root of 2)	$2 (2 \sqrt{2})$
191471	Solve for b	(ax+3)(5x^2-bx+4)=20x^3-9x^2-2x+12	$(a x + 3) (5 x^{2} - b x + 4) = 20 x^{3} - 9 x^{2} - 2 x + 12$
191472	Evaluate	9/5(8/3-1/6)	$\frac{9}{5} (\frac{8}{3} - \frac{1}{6})$
191473	Evaluate	(6)(6^-4)(6^0)	$(6) (6^{- 4}) (6^{0})$
191474	Solve for x	2-5^x=2^x-3	$2 - 5^{x} = 2^{x} - 3$
191475	Find the Roots (Zeros)	f(x)=-3x+5x^2+8	$f (x) = - 3 x + 5 x^{2} + 8$
191476	Simplify	(m/2+(6m+5)/(2m))/(1/2+5/(2m))	$\frac{\frac{m}{2} + \frac{6 m + 5}{2 m}}{\frac{1}{2} + \frac{5}{2 m}}$
191477	Solve the Inequality for x	(3x-7)/(x+2)>1	$\frac{3 x - 7}{x + 2} > 1$
191478	Simplify	square root of cube root of 4 fifth root of 16	$\sqrt{\sqrt[3]{4 \sqrt[5]{16}}}$
191479	Solve for y	y=(1+1/10000)^10000	$y = {(1 + \frac{1}{10000})}^{10000}$
191480	Factor	x^6-x^4+2x^2-1	$x^{6} - x^{4} + 2 x^{2} - 1$
191481	Graph	y=- square root of 5-x+6	$y = - \sqrt{5 - x} + 6$
191482	Solve the System of Equations	-x+y+2z=-3 2x-y+z=5 5x-2y+5z=12	$- x + y + 2 z = - 3$ $2 x - y + z = 5$ $5 x - 2 y + 5 z = 12$
191483	Find All Complex Solutions	2sin(theta)+1=csc(theta)	$2 \sin (θ) + 1 = \csc (θ)$
191484	Solve for m	(2m)/5=1/3(2m-12)	$\frac{2 m}{5} = \frac{1}{3} (2 m - 12)$
191485	Graph	8>=n-6	$8 \geq n - 6$
191486	Solve for p	e^(5p-8)+3=15	$e^{5 p - 8} + 3 = 15$
191487	Evaluate	9x^0y^-3	$9 x^{0} y^{- 3}$
191488	Find the x and y Intercepts	f(x)=(x^2+10x)/(3x^2-12x-15)	$f (x) = \frac{x^{2} + 10 x}{3 x^{2} - 12 x - 15}$
191489	Graph	[-3,infinity]	$[- 3, \infty]$
191490	Solve for x	1-1/2(4x+1)=-9/4x-(-3x+1)	$1 - \frac{1}{2} (4 x + 1) = - \frac{9}{4} x - (- 3 x + 1)$
191491	Solve the Inequality for x	3/(x-2)<1	$\frac{3}{x - 2} < 1$
191492	Multiply	(x+y+z)^2	${(x + y + z)}^{2}$
191493	Solve the Inequality for y	(4.5-2y)/5<(2-3y)/10	$\frac{4.5 - 2 y}{5} < \frac{2 - 3 y}{10}$
191494	Solve for x	-3(2x-5)-5x=3x	$- 3 (2 x - 5) - 5 x = 3 x$
191495	Solve for x	5/2(x-2)+2x-4=9	$\frac{5}{2} (x - 2) + 2 x - 4 = 9$
191496	Simplify	1/2(1/2y-1/2)	$\frac{1}{2} (\frac{1}{2} y - \frac{1}{2})$
191497	Evaluate	x^4-13x^2+36=0	$x^{4} - 13 x^{2} + 36 = 0$
191498	Solve the Rational Equation for b	(b+6)/(4b^2)+3/(2b^2)=(b+4)/(2b^2)	$\frac{b + 6}{4 b^{2}} + \frac{3}{2 b^{2}} = \frac{b + 4}{2 b^{2}}$
191499	Evaluate	6 permute 0	${}_{6}P_{0}$
191500	Solve Using the Quadratic Formula	f(x)=9x^2+6x+1	$f (x) = 9 x^{2} + 6 x + 1$