Mathway | Popular Problems

Popular Problems

Rank	Topic	Problem	Formatted Problem
161301	Solve the Inequality for x	x^2+x-6<=0	$x^{2} + x - 6 \leq 0$
161302	Solve the System of Inequalities	3x+5>11 and 3x+5<32	$3 x + 5 > 11$ and $3 x + 5 < 32$
161303	Solve for D	P=2D+2C	$P = 2 D + 2 C$
161304	Solve the Inequality for c	c-12>-4	$c - 12 > - 4$
161305	Factor	(x^3+8)	$(x^{3} + 8)$
161306	Solve for d	\|d+9\|>3	$\| d + 9 \| > 3$
161307	Solve the Inequality for x	-12<1/2(4x+16)<18	$- 12 < \frac{1}{2} (4 x + 16) < 18$
161308	Solve for x	4x^2-3x+9=2x+1	$4 x^{2} - 3 x + 9 = 2 x + 1$
161309	Solve for x	-4/(x+1)=-1/(x+5)	$\frac{- 4}{x + 1} = \frac{- 1}{x + 5}$
161310	Solve for a	d-F^3=4a	$d - F^{3} = 4 a$
161311	Solve for c	19c-9c-4c+3=15	$19 c - 9 c - 4 c + 3 = 15$
161312	Factor	(x^2-y^2)	$(x^{2} - y^{2})$
161313	Solve for x	log base x of 5+ log base x of 12=7	$\log_{x} (5) + \log_{x} (12) = 7$
161314	Evaluate	(13+(7^2)÷7)/(9-20÷4-16)	$\frac{13 + 7^{2} \div 7}{9 - 20 \div 4 - 16}$
161315	Combine Like Terms	3x+2x+3y-7y	$3 x + 2 x + 3 y - 7 y$
161316	Solve for C	P=(S-C)/S	$P = \frac{S - C}{S}$
161317	Solve for m	6(m-1)=3(3m+5)	$6 (m - 1) = 3 (3 m + 5)$
161318	Solve for u	-7u-u+2u+11u=10	$- 7 u - u + 2 u + 11 u = 10$
161319	Graph Using a Table of Values	y=-3x^2	$y = - 3 x^{2}$
161320	Simplify	(4-2i)/(4+6i)	$\frac{4 - 2 i}{4 + 6 i}$
161321	Graph	y<=-x-2 y>=-5x+2	$y \leq - x - 2$ $y \geq - 5 x + 2$
161322	Find the Exact Value	(3/2)^2	${(\frac{3}{2})}^{2}$
161323	Evaluate	5+(-11)-(-11)	$5 + (- 11) - (- 11)$
161324	Solve the Inequality for x	x/9+7>=10	$\frac{x}{9} + 7 \geq 10$
161325	Simplify	v-6(-3v+3)	$v - 6 (- 3 v + 3)$
161326	Simplify	(4x^10y^-3)/(12x^-2y)	$\frac{4 x^{10} y^{- 3}}{12 x^{- 2} y}$
161327	Graph	-1/4(12x+8)<=-2x+11	$- \frac{1}{4} (12 x + 8) \leq - 2 x + 11$
161328	Solve the System of Equations	5x-7y=58 y=-x+2	$5 x - 7 y = 58$ $y = - x + 2$
161329	Graph Using a Table of Values	f(x) = square root of x-2	$f (x) = \sqrt{x - 2}$
161330	Solve for x₁	y-y_1=m(x-x_1)	$y - y_{1} = m (x - x_{1})$
161331	Solve the Rational Equation for x	(x-2)/(x^2-4)+1/(x+2)=1/(x-2)	$\frac{x - 2}{x^{2} - 4} + \frac{1}{x + 2} = \frac{1}{x - 2}$
161332	Simplify	3(w-9w+8)-10w	$3 (w - 9 w + 8) - 10 w$
161333	Solve the Rational Equation for x	(x^2-4x)/(x-2)=(14-9x)/(x-2)	$\frac{x^{2} - 4 x}{x - 2} = \frac{14 - 9 x}{x - 2}$
161334	Solve for a	G=a(4-d^2)	$G = a (4 - d^{2})$
161335	Simplify	square root of 3*2 square root of 2	$\sqrt{3} \cdot 2 \sqrt{2}$
161336	Solve for M₁	F_g=(GM_1M_2)/(r^2)	$F_{g} = \frac{G M_{1} M_{2}}{r^{2}}$
161337	Write the Fraction in Simplest Form	1/2+1/3	$\frac{1}{2} + \frac{1}{3}$
161338	Solve the Inequality for x	-4x+10>=5x+55	$- 4 x + 10 \geq 5 x + 55$
161339	Solve for f	f/h=m	$\frac{f}{h} = m$
161340	Evaluate	( log base 5 of m)/( log base 15 of m)	$\frac{\log_{5} (m)}{\log_{15} (m)}$
161341	Solve for x	x+x/(x-2)=2/(x-2)	$x + \frac{x}{x - 2} = \frac{2}{x - 2}$
161342	Solve for d	ab-cd=e	$a b - c d = e$
161343	Graph Using a Table of Values	y=2/x	$y = \frac{2}{x}$
161344	Simplify	7/(x+6)-x/(x^2-x-42)	$\frac{7}{x + 6} - \frac{x}{x^{2} - x - 42}$
161345	Solve for x	(x^2-8)^2+x^2-8=20	${(x^{2} - 8)}^{2} + x^{2} - 8 = 20$
161346	Simplify	4 square root of n^2+ square root of m^2n- square root of 4n^2- square root of mn^2	$4 \sqrt{n^{2}} + \sqrt{m^{2} n} - \sqrt{4 n^{2}} - \sqrt{m n^{2}}$
161347	Find the Function	f(x) = cube root of x	$f (x) = \sqrt[3]{x}$
161348	Solve for x	2/(2x+8)=3/(x+2)	$\frac{2}{2 x + 8} = \frac{3}{x + 2}$
161349	Solve for b	b/(d+5^2)=3g	$\frac{b}{d + 5^{2}} = 3 g$
161350	Solve for x	20+2x^2=28	$20 + 2 x^{2} = 28$
161351	Solve for a	5^2=a/(f-m)	$5^{2} = \frac{a}{f - m}$
161352	Simplify	(4x^2+16x)/(x^2-16)	$\frac{4 x^{2} + 16 x}{x^{2} - 16}$
161353	Simplify	1/(2/3)	$\frac{1}{\frac{2}{3}}$
161354	Solve for x	(49/81)^(x+1)>=9/7	${(\frac{49}{81})}^{x + 1} \geq \frac{9}{7}$
161355	Solve the System of Inequalities	x+8>=9 and x/7<=1	$x + 8 \geq 9$ and $\frac{x}{7} \leq 1$
161356	Solve the Inequality for x	15+x<=24	$15 + x \leq 24$
161357	Find the Holes in the Graph	f(x)=(3x^2+12x)/(-2x^2+2x)	$f (x) = \frac{3 x^{2} + 12 x}{- 2 x^{2} + 2 x}$
161358	Find the Roots (Zeros)	p(x)=(x^2+4x+3)(x^2-4)	$p (x) = (x^{2} + 4 x + 3) (x^{2} - 4)$
161359	Write in Slope-Intercept Form	(-8,8) , (1,-10)	$(- 8, 8)$ , $(1, - 10)$
161360	Solve for r	2/3+r=-4/9	$\frac{2}{3} + r = - \frac{4}{9}$
161361	Solve for s	D=(C-s)/n	$D = \frac{C - s}{n}$
161362	Solve for g	t=g+q	$t = g + q$
161363	Determine if the Given Expression is a Factor	x^3-3x^2-2x+6 , x-4	$x^{3} - 3 x^{2} - 2 x + 6$ , $x - 4$
161364	Solve for x	log base 3/4 of 25=3x-1	$\log_{\frac{3}{4}} (25) = 3 x - 1$
161365	Graph	P(x)=x(x^2-4)	$P (x) = x (x^{2} - 4)$
161366	Solve for x	x+5=-3^x+4	$x + 5 = - 3^{x} + 4$
161367	Solve the Inequality for x	\|x-4\|<3	$\| x - 4 \| < 3$
161368	Graph	[x]	$[x]$
161369	Solve the Inequality for x	x^2-4>=0	$x^{2} - 4 \geq 0$
161370	Solve for x	-8(3x-1/4)=2(9-7x)	$- 8 (3 x - \frac{1}{4}) = 2 (9 - 7 x)$
161371	Find the Domain and Range	g(x)=5+ square root of 4-x	$g (x) = 5 + \sqrt{4 - x}$
161372	Convert to Polar	x=y	$x = y$
161373	Find the Holes in the Graph	f(x)=(-4x+12)/(2x^2-x-15)	$f (x) = \frac{- 4 x + 12}{2 x^{2} - x - 15}$
161374	Solve the Inequality for x	15(x^2-1)>16x	$15 (x^{2} - 1) > 16 x$
161375	Solve the System of Inequalities	31<=3x+10 and 46>3x+10	$31 \leq 3 x + 10$ and $46 > 3 x + 10$
161376	Solve the System of Inequalities	19>=5x+4 or 5x+4>29	$19 \geq 5 x + 4$ or $5 x + 4 > 29$
161377	Simplify	square root of (32x)/8	$\sqrt{\frac{32 x}{8}}$
161378	Simplify	(18x^2-162x)/(9x)	$\frac{18 x^{2} - 162 x}{9 x}$
161379	Simplify	((x^2+x)/(x^2-7x-8))÷((x^2)/(x^2-8x))	$\frac{x^{2} + x}{x^{2} - 7 x - 8} \div \frac{x^{2}}{x^{2} - 8 x}$
161380	Solve for k	-k/5=7/5	$- \frac{k}{5} = \frac{7}{5}$
161381	Solve for x	x/h+1=-2	$\frac{x}{h} + 1 = - 2$
161382	Expand Using the Trinomial Theorem	(1+x+x^2)^3	${(1 + x + x^{2})}^{3}$
161383	Find the Product	(3x-1)(x+5)	$(3 x - 1) (x + 5)$
161384	Solve by Factoring	2x^2+x-11=6x-8	$2 x^{2} + x - 11 = 6 x - 8$
161385	Solve for m	-2m+11m+m+11=-19	$- 2 m + 11 m + m + 11 = - 19$
161386	Simplify	((x+3)/(x^2-2x-3))÷((x^2+2x-3)/(x+1))	$\frac{x + 3}{x^{2} - 2 x - 3} \div \frac{x^{2} + 2 x - 3}{x + 1}$
161387	Simplify	(2x)/3+x/4	$\frac{2 x}{3} + \frac{x}{4}$
161388	Evaluate	(-7)^(5/3)*(1/56)^(5/3)	${(- 7)}^{\frac{5}{3}} \cdot {(\frac{1}{56})}^{\frac{5}{3}}$
161389	Solve for a	a(b^2-4)=n	$a (b^{2} - 4) = n$
161390	Factor	xy^3+x^5y	$x y^{3} + x^{5} y$
161391	Solve for A	b^2+g=A/m	$b^{2} + g = \frac{A}{m}$
161392	Solve for A	f=4NA	$f = 4 N A$
161393	Simplify	(21x^3+189x^2)/(7x^3)	$\frac{21 x^{3} + 189 x^{2}}{7 x^{3}}$
161394	Solve for x	10 square root of 9x=60	$10 \sqrt{9 x} = 60$
161395	Simplify	square root of (x-2)^2-8(x-2)	$\sqrt{{(x - 2)}^{2} - 8 (x - 2)}$
161396	Combine Like Terms	-5n+3(6+7n)	$- 5 n + 3 (6 + 7 n)$
161397	Solve for x	-(7-2x)+7=-7	$- (7 - 2 x) + 7 = - 7$
161398	Solve the Inequality for x	-2(x-5)<4	$- 2 (x - 5) < 4$
161399	Simplify	(7x)/(x+1)+7/(x^2-1)	$\frac{7 x}{x + 1} + \frac{7}{x^{2} - 1}$
161400	Factor	1/25+(25x^4)/36-(x^2)/3	$\frac{1}{25} + \frac{25 x^{4}}{36} - \frac{x^{2}}{3}$