Mathway | Popular Problems

Popular Problems

Rank	Topic	Problem	Formatted Problem
191101	Solve for x	3^(2x-2)<27	$3^{2 x - 2} < 27$
191102	Evaluate	(s-t)(s/t)	$(s - t) (\frac{s}{t})$
191103	Find the Domain and Range	y=(x^2-4)/(x+2)	$y = \frac{x^{2} - 4}{x + 2}$
191104	Find the Domain and Range	f(x)=-1/5 log of x	$f (x) = - \frac{1}{5} \log (x)$
191105	Solve for x	13=-2(x-4)+3x	$13 = - 2 (x - 4) + 3 x$
191106	Find the Holes in the Graph	f(x)=(x^2-25)/(x-2)	$f (x) = \frac{x^{2} - 25}{x - 2}$
191107	Solve for p	log base 12 of 10 = log base 12 of 6-p	$\log_{12} (10) = \log_{12} (6 - p)$
191108	Simplify	4n-m+3p+2m-n-p	$4 n - m + 3 p + 2 m - n - p$
191109	Simplify	(16x^2y^(1/2))^(3/4)	${(16 x^{2} y^{\frac{1}{2}})}^{\frac{3}{4}}$
191110	Subtract	1 1/4-3/8	$1 \frac{1}{4} - \frac{3}{8}$
191111	Simplify	((8x^5y^-4)/(16y^(-1/4)))^(1/2)	${(\frac{8 x^{5} y^{- 4}}{16 y^{- \frac{1}{4}}})}^{\frac{1}{2}}$
191112	Solve for n	15n^2-22n+8=0	$15 n^{2} - 22 n + 8 = 0$
191113	Solve the Inequality for x	1.6>=0.8x+4	$1.6 \geq 0.8 x + 4$
191114	Graph	-2(5+6n)<6(8-2n)	$- 2 (5 + 6 n) < 6 (8 - 2 n)$
191115	Graph	f(x)=-2x(x^2-9)	$f (x) = - 2 x (x^{2} - 9)$
191116	Simplify	x+4-2(1/2x+3)	$x + 4 - 2 (\frac{1}{2} x + 3)$
191117	Simplify	((x+1/y)^m(x-1/y)^n)/((y+1/x)^m(y-1/x)^n)	$\frac{{(x + \frac{1}{y})}^{m} {(x - \frac{1}{y})}^{n}}{{(y + \frac{1}{x})}^{m} {(y - \frac{1}{x})}^{n}}$
191118	Find the Roots (Zeros)	P(x)=-x^3+x^2+20x	$P (x) = - x^{3} + x^{2} + 20 x$
191119	Solve the Inequality for x	(3x)/(x-1)<=2	$\frac{3 x}{x - 1} \leq 2$
191120	Graph	f^-1(x) = square root of x	$f^{- 1} (x) = \sqrt{x}$
191121	Solve for x	(3x+4)-(2x+9)=15	$(3 x + 4) - (2 x + 9) = 15$
191122	Solve for c	P=k/(1+cb^(-t))	$P = \frac{k}{1 + c b^{- t}}$
191123	Solve for x	-(-3/2x-6)=4+8(1/2x+1)-9x	$- (- \frac{3}{2} x - 6) = 4 + 8 (\frac{1}{2} x + 1) - 9 x$
191124	Solve for x	4x+6=7(3x-7)	$4 x + 6 = 7 (3 x - 7)$
191125	Find the Quadratic Equation Given the Roots	4 , -1/2	$4$ , $- \frac{1}{2}$
191126	Divide	(x^4+2x^3-2x^2-3x+2)÷(x+2)	$(x^{4} + 2 x^{3} - 2 x^{2} - 3 x + 2) \div (x + 2)$
191127	Graph	p(x)=(2x-1)(x+3)(x+1)(x-2)	$p (x) = (2 x - 1) (x + 3) (x + 1) (x - 2)$
191128	Find the Quotient	(2x^3+3x^2+5x-4)/(x^2+x+1)	$\frac{2 x^{3} + 3 x^{2} + 5 x - 4}{x^{2} + x + 1}$
191129	Solve the Inequality for j	\|3j-1\|+6>0	$\| 3 j - 1 \| + 6 > 0$
191130	Subtract	(2x^2-2x)-(-3x^2+4x+10)	$(2 x^{2} - 2 x) - (- 3 x^{2} + 4 x + 10)$
191131	Solve for a	a/3=2/5b	$\frac{a}{3} = \frac{2}{5} b$
191132	Solve for x	-2/3(x-3)-x=8	$- \frac{2}{3} (x - 3) - x = 8$
191133	Graph	x^3+x^2+x+1	$x^{3} + x^{2} + x + 1$
191134	Solve the Inequality for x	-138>=-6(6x-7)	$- 138 \geq - 6 (6 x - 7)$
191135	Solve for x	3(x+3)>4(x-4)	$3 (x + 3) > 4 (x - 4)$
191136	Graph	F(x)=1/(x(x+4))	$F (x) = \frac{1}{x (x + 4)}$
191137	Find the Exact Value	arccsc(csc((4pi)/3))	$arccsc (\csc (\frac{4 π}{3}))$
191138	Find the Exact Value	tan((7pi)/6+pi/4)	$\tan (\frac{7 π}{6} + \frac{π}{4})$
191139	Solve the System of Inequalities	-9x+2>18 ; OR , 13x+15<=-4	$- 9 x + 2 > 18$ ; OR , $13 x + 15 \leq - 4$
191140	Solve for x	1÷2 7/9=x+4 2/5x	$1 \div 2 \frac{7}{9} = x + 4 \frac{2}{5} x$
191141	Find the Domain and Range	f(x)=3x-1/x+2	$f (x) = 3 x - \frac{1}{x} + 2$
191142	Divide	36x^3-96x^2+48x by 12x	$36 x^{3} - 96 x^{2} + 48 x$ by $12 x$
191143	Simplify	(12^4)/(18^4)	$\frac{12^{4}}{18^{4}}$
191144	Solve for b	-13=2b-b-10	$- 13 = 2 b - b - 10$
191145	Convert to Interval Notation	x<-3 or x>8	$x < - 3$ or $x > 8$
191146	Find the x and y Intercepts	f(x)=(1/2)^x-3	$f (x) = {(\frac{1}{2})}^{x} - 3$
191147	Simplify	(2^66^18)/(2^259^9)	$\frac{2^{6} \cdot 6^{18}}{2^{25} \cdot 9^{9}}$
191148	Multiply	-1^4	$- 1^{4}$
191149	Simplify	-2a^2b+a^2-5ab+3ab^2-b^2+2(a^2b+2ab)	$- 2 a^{2} b + a^{2} - 5 a b + 3 a b^{2} - b^{2} + 2 (a^{2} b + 2 a b)$
191150	Simplify	(a-b)/(a^2-b^2)	$\frac{a - b}{a^{2} - b^{2}}$
191151	Find f(g(x))	f(x)=2x^2-8x+4 and g(x)=3x+7	$f (x) = 2 x^{2} - 8 x + 4$ and $g (x) = 3 x + 7$
191152	Evaluate the Function	f(x)=-x^2-8x+30 for x=-1	$f (x) = - x^{2} - 8 x + 30$ for $x = - 1$
191153	Simplify	1/( square root of 5+ square root of 5)	$\frac{1}{\sqrt{5} + \sqrt{5}}$
191154	Simplify	square root of 3*2 square root of 30	$\sqrt{3} \cdot 2 \sqrt{30}$
191155	Divide Using Synthetic Division	2x^4-3x^3+2x^2-8x-1 by x-1	$2 x^{4} - 3 x^{3} + 2 x^{2} - 8 x - 1$ by $x - 1$
191156	Simplify the Radical Expression	seventh root of x* seventh root of x* seventh root of x	$\sqrt[7]{x} \cdot \sqrt[7]{x} \cdot \sqrt[7]{x}$
191157	Simplify	( cube root of x^2)^6	${(\sqrt[3]{x^{2}})}^{6}$ ?
191158	Solve for a	(a-2)/(a+3)-1=3/(a+2)	$\frac{a - 2}{a + 3} - 1 = \frac{3}{a + 2}$
191159	Find the Roots (Zeros)	x^4-8x^3+14x^2+8x-15=0	$x^{4} - 8 x^{3} + 14 x^{2} + 8 x - 15 = 0$
191160	Solve for x	1/3(-12x)=-24	$\frac{1}{3} (- 12 x) = - 24$
191161	Simplify	fourth root of (405x^3y^3)/(5x^-1y)	$\sqrt[4]{\frac{405 x^{3} y^{3}}{5 x^{- 1} y}}$
191162	Solve for g	5g+9g-g=13	$5 g + 9 g - g = 13$
191163	Evaluate	(i+3)+i(2i-4)	$(i + 3) + i (2 i - 4)$
191164	Solve for x	y=1/3(x+2)	$y = \frac{1}{3} (x + 2)$
191165	Evaluate	12/4+2 1/2-3	$\frac{12}{4} + 2 \frac{1}{2} - 3$
191166	Evaluate	-6+(-5)+7	$- 6 + (- 5) + 7$
191167	Convert to a Decimal	9 diez milesimas	$9$ diez milesimas
191168	Simplify	(2x-12)/(8x-12)+(16x-15)/(8x-12)	$\frac{2 x - 12}{8 x - 12} + \frac{16 x - 15}{8 x - 12}$
191169	Simplify	4^2+8÷2	$4^{2} + 8 \div 2$
191170	Simplify	fourth root of (3x)^3	$\sqrt[4]{{(3 x)}^{3}}$
191171	Factor	(x^3-27)/(x-3)	$\frac{x^{3} - 27}{x - 3}$
191172	Write in Standard Form	4y=-7x-16	$4 y = - 7 x - 16$
191173	Solve for w	3.4/15=17/w	$\frac{3.4}{15} = \frac{17}{w}$
191174	Factor	y=x^4-1	$y = x^{4} - 1$
191175	Solve for x	256^(-2x-8)=(1/16)^(-4x+11)	$256^{- 2 x - 8} = {(\frac{1}{16})}^{- 4 x + 11}$
191176	Find the Roots (Zeros)	f(x)=2 square root of -x+2	$f (x) = 2 \sqrt{- x} + 2$
191177	Evaluate	(-x^2-4x-5)+(-x^2+8x+8)	$(- x^{2} - 4 x - 5) + (- x^{2} + 8 x + 8)$
191178	Graph	y=-2x-3 y=1/2x+2	$y = - 2 x - 3$ $y = \frac{1}{2} x + 2$
191179	Multiply	(2x^3yz^2)^3	${(2 x^{3} y z^{2})}^{3}$
191180	Solve for x	x+x+(2x-5)=23	$x + x + (2 x - 5) = 23$
191181	Solve for g	-2g+4<=-6g-9	$- 2 g + 4 \leq - 6 g - 9$
191182	Solve for x	(x+3)^2-5=9	${(x + 3)}^{2} - 5 = 9$
191183	Solve the System of Equations	y=x+7 and y=-x+2	$y = x + 7$ and $y = - x + 2$
191184	Find the Exact Value	1÷2	$1 \div 2$
191185	Solve the Inequality for x	x-6>2/x	$x - 6 > \frac{2}{x}$
191186	Find the Exact Value	60/5(7-5)	$\frac{60}{5} (7 - 5)$
191187	Simplify	( cube root of 750z^17)/( cube root of 2)	$\frac{\sqrt[3]{750 z^{17}}}{\sqrt[3]{2}}$
191188	Evaluate	-2/infinity	$- \frac{2}{\infty}$
191189	Solve for c	(c+1)/(c-2)=4/7	$\frac{c + 1}{c - 2} = \frac{4}{7}$
191190	Solve for θ	(cot(theta)+1)(csc(theta)+1)=0	$(\cot (θ) + 1) (\csc (θ) + 1) = 0$
191191	Graph	y=-1/2tan(3x)	$y = - \frac{1}{2} \tan (3 x)$
191192	Determine if Parallel	y=5/3x+7 6x-10y=10	$y = \frac{5}{3} x + 7$ $6 x - 10 y = 10$
191193	Write as a Single Logarithm	2 log base 5 of 12- log base 5 of 8-2 log base 5 of 3	$2 \log_{5} (12) - \log_{5} (8) - 2 \log_{5} (3)$
191194	Solve for x	4(x/6+5)=2x+10	$4 (\frac{x}{6} + 5) = 2 x + 10$
191195	Solve for x	12-2x(x-3)=(6-x)(x+2)	$12 - 2 x (x - 3) = (6 - x) (x + 2)$
191196	Solve for x	(x+7)(x-4)=x^2+9x-28	$(x + 7) (x - 4) = x^{2} + 9 x - 28$
191197	Solve for x	8/5+(3x+7)/10=-1	$\frac{8}{5} + \frac{3 x + 7}{10} = - 1$
191198	Solve for a	7\|4a-6\|<42	$7 \| 4 a - 6 \| < 42$
191199	Find the x and y Intercepts	f(x)=4+9x^3+x^4-9x^2+8x	$f (x) = 4 + 9 x^{3} + x^{4} - 9 x^{2} + 8 x$
191200	Find the Exact Value	sin((7pi)/6)^2	$\sin^{2} (\frac{7 π}{6})$