Mathway | Popular Problems

Popular Problems

Rank	Topic	Problem	Formatted Problem
175301	Simplify	(7/3)^-2	${(\frac{7}{3})}^{- 2}$
175302	Simplify	square root of -3/4	$\sqrt{- \frac{3}{4}}$
175303	Solve for θ	sin(2theta)+ square root of 3cos(theta)=0	$\sin (2 θ) + \sqrt{3} \cos (θ) = 0$
175304	Graph	y=-1/2 square root of x+3	$y = - \frac{1}{2} \sqrt{x + 3}$
175305	Solve the System of Inequalities	x-8<=-12 or 2>x-8	$x - 8 \leq - 12$ or $2 > x - 8$
175306	Simplify	((5x^13y^5z^2)/(3*5^2))^0	${(\frac{5 x^{13} y^{5} z^{2}}{3 \cdot 5^{2}})}^{0}$
175307	Solve for x	log base 1/2 of 4=x	$\log_{\frac{1}{2}} (4) = x$
175308	Solve for x	square root of 3x^2+12x+13=2x+5	$\sqrt{3 x^{2} + 12 x + 13} = 2 x + 5$
175309	Factor	8+36x+54x^2+27x^3	$8 + 36 x + 54 x^{2} + 27 x^{3}$
175310	Solve for q₁	f=(kq_1q_2)/(r^2)	$f = \frac{k q_{1} q_{2}}{r^{2}}$
175311	Graph Using a Table of Values	f(x)=-1/2(2)^x	$f (x) = - \frac{1}{2} {(2)}^{x}$
175312	Simplify	(2x+4)/(x^2+10x+21)*(x^2+4x-21)/(2x^2-2x-12)	$\frac{2 x + 4}{x^{2} + 10 x + 21} \cdot \frac{x^{2} + 4 x - 21}{2 x^{2} - 2 x - 12}$
175313	Find the Exact Value	cos((13pi)/15)cos(-pi/5)-sin((13pi)/15)sin(-pi/5)	$\cos (\frac{13 π}{15}) \cos (- \frac{π}{5}) - \sin (\frac{13 π}{15}) \sin (- \frac{π}{5})$
175314	Evaluate	square root of x^2+81=x+10	$\sqrt{x^{2} + 81} = x + 10$
175315	Evaluate	1/2*pi	$\frac{1}{2} \cdot π$
175316	Graph	y=1/2(x-3)^2-5	$y = \frac{1}{2} {(x - 3)}^{2} - 5$
175317	Combine Like Terms	(5-2x^4)(5+2x^4)	$(5 - 2 x^{4}) (5 + 2 x^{4})$
175318	Solve for y	(-5y)/3+3=8	$\frac{- 5 y}{3} + 3 = 8$
175319	Simplify	6y square root of 50x^6y^6	$6 y \sqrt{50 x^{6} y^{6}}$
175320	Write in Standard Form	square root of -80	$\sqrt{- 80}$
175321	Divide	(3x^4-2x^3+4x-5)÷(x^2+4)	$(3 x^{4} - 2 x^{3} + 4 x - 5) \div (x^{2} + 4)$
175322	Find the Product	(a^3-b^2)(a^3+b^2)	$(a^{3} - b^{2}) (a^{3} + b^{2})$
175323	Graph	f(x)=(x^3-9x)/(3x^2-6x-9)	$f (x) = \frac{x^{3} - 9 x}{3 x^{2} - 6 x - 9}$
175324	Solve the Absolute Value Inequality for x	\|x+4\|=3x	$\| x + 4 \| = 3 x$
175325	Simplify	((m-2)/(m+1)+2)/(1+(1+2m)/(m+1))	$\frac{\frac{m - 2}{m + 1} + 2}{1 + \frac{1 + 2 m}{m + 1}}$
175326	Evaluate	e^x*e^x	$e^{x} \cdot e^{x}$
175327	Solve for x	(x-4)/3-5=0	$\frac{x - 4}{3} - 5 = 0$
175328	Graph	-3(p+1)<=-18	$- 3 (p + 1) \leq - 18$
175329	Graph	-1/3(x-3)=(y+5)^2	$- \frac{1}{3} (x - 3) = {(y + 5)}^{2}$
175330	Solve the Inequality for t	t/4>7	$\frac{t}{4} > 7$
175331	Solve for g	1/2(3g-2)=g/2	$\frac{1}{2} (3 g - 2) = \frac{g}{2}$
175332	Find the End Behavior	q(x)=3x^4-5x^3-2x^2+x-18	$q (x) = 3 x^{4} - 5 x^{3} - 2 x^{2} + x - 18$
175333	Simplify	(-9mn^2)/(3m^4n)	$\frac{- 9 m n^{2}}{3 m^{4} n}$
175334	Solve for c	2c+3(c+3)=3(2c+3)	$2 c + 3 (c + 3) = 3 (2 c + 3)$
175335	Write in Standard Form	(-3- square root of -7)^2	${(- 3 - \sqrt{- 7})}^{2}$
175336	Find the Excluded Values	(7b^3)/(b^2-7b+10)	$\frac{7 b^{3}}{b^{2} - 7 b + 10}$
175337	Solve the Inequality for x	-3x-(2x+6)<=9	$- 3 x - (2 x + 6) \leq 9$
175338	Write in Standard Form	2x^2+2+5x=-4-x	$2 x^{2} + 2 + 5 x = - 4 - x$
175339	Solve the System of Inequalities	4x+8>-16 and 4x+8<=48	$4 x + 8 > - 16$ and $4 x + 8 \leq 48$
175340	Find the Inverse	y = square root of x-2 , y>=0	$y = \sqrt{x - 2}$ , $y \geq 0$
175341	Solve for u	-2u=4/3(3u+6)-2(3+5/2u)	$- 2 u = \frac{4}{3} (3 u + 6) - 2 (3 + \frac{5}{2} u)$
175342	Write in Standard Form	square root of -64- square root of -25	$\sqrt{- 64} - \sqrt{- 25}$
175343	Graph	16x^2+16y-32=0	$16 x^{2} + 16 y - 32 = 0$
175344	Solve for r	3/5(r-7)=1	$\frac{3}{5} (r - 7) = 1$
175345	Solve for n	5(n+4)-(n+7)=-11	$5 (n + 4) - (n + 7) = - 11$
175346	Simplify	(3x^2-27)/(x^2+6x+9)-(2x-4)/(x^2+x-6)	$\frac{3 x^{2} - 27}{x^{2} + 6 x + 9} - \frac{2 x - 4}{x^{2} + x - 6}$
175347	Solve for x	square root of a=(x-b^2)/(2c)	$\sqrt{a} = \frac{x - b^{2}}{2 c}$
175348	Simplify the Radical Expression	(3x^2)^(2/3)	${(3 x^{2})}^{\frac{2}{3}}$
175349	Evaluate	\|-6\|+3\|4\|+\|-5\|-0*6	$\| - 6 \| + 3 \| 4 \| + \| - 5 \| - 0 \cdot 6$
175350	Solve for θ	3 square root of 2cos(theta)+2=-1	$3 \sqrt{2} \cos (θ) + 2 = - 1$
175351	Simplify	(15qy^8)/(3(y^-1)^2)	$\frac{15 q y^{8}}{3 {(y^{- 1})}^{2}}$
175352	Find All Complex Solutions	csc(theta)-1=0	$\csc (θ) - 1 = 0$
175353	Solve the System of Inequalities	x+5>=1 and x-7<=-3	$x + 5 \geq 1$ and $x - 7 \leq - 3$
175354	Solve for x	x^5=-48	$x^{5} = - 48$
175355	Solve for n	(n+3)/4-(n-2)/5=(n+1)/10-1	$\frac{n + 3}{4} - \frac{n - 2}{5} = \frac{n + 1}{10} - 1$
175356	Solve the Inequality for x	5<x-2<11	$5 < x - 2 < 11$
175357	Solve the System of Inequalities	5x+5>45 and 55<5x+5	$5 x + 5 > 45$ and $55 < 5 x + 5$
175358	Solve the System of Inequalities	x+y<4 x^2+y<8	$x + y < 4$ $x^{2} + y < 8$
175359	Simplify	(-3+2i)(1-i^3)	$(- 3 + 2 i) (1 - i^{3})$
175360	Simplify	(-2k^3-7k^2+5k)+(6k^2+3k)	$(- 2 k^{3} - 7 k^{2} + 5 k) + (6 k^{2} + 3 k)$
175361	Simplify	10 root of x^5x^4x^2	$\sqrt[10]{x^{5} \cdot x^{4} \cdot x^{2}}$
175362	Simplify	(9n-4/7z)^2	${(9 n - \frac{4}{7} z)}^{2}$
175363	Solve for t	1.4t-0.4(t-3.1)=5.8	$1.4 t - 0.4 (t - 3.1) = 5.8$
175364	Graph Using a Table of Values	f(x) = square root of x-5	$f (x) = \sqrt{x - 5}$
175365	Solve for k	11=-3k-22-8k	$11 = - 3 k - 22 - 8 k$
175366	Solve for n	6x^n*4x^2=24x^6	$6 x^{n} \cdot 4 x^{2} = 24 x^{6}$
175367	Simplify	7u^2v^5*9uv^3	$7 u^{2} v^{5} \cdot 9 u v^{3}$
175368	Solve for x	10-9x^2+4x=-6x^2	$10 - 9 x^{2} + 4 x = - 6 x^{2}$
175369	Evaluate	((-3/5)÷(4/10))(-1/2+1/3)	$(\frac{- 3}{5} \div \frac{4}{10}) (\frac{- 1}{2} + \frac{1}{3})$
175370	Solve for x	x+(1/2x+3)=180	$x + (\frac{1}{2} x + 3) = 180$
175371	Solve for x	x+(x+3)/(x+2)=7/(x+2)	$x + \frac{x + 3}{x + 2} = \frac{7}{x + 2}$
175372	Solve the Absolute Value Inequality for d	\|-3d\|=15	$\| - 3 d \| = 15$
175373	Simplify	(3w^2-2z^2+3w)-(w^2+2z^2+3w)	$(3 w^{2} - 2 z^{2} + 3 w) - (w^{2} + 2 z^{2} + 3 w)$
175374	Solve for p	s=p/(q+p(1-q))	$s = \frac{p}{q + p (1 - q)}$
175375	Find the x and y Intercepts	y=x^2 square root of 25-x^2	$y = x^{2} \sqrt{25 - x^{2}}$
175376	Divide	(x^4-5x-1)/(x^3)	$\frac{x^{4} - 5 x - 1}{x^{3}}$
175377	Solve Using the Quadratic Formula	5x^2-3x+10=5x^2	$5 x^{2} - 3 x + 10 = 5 x^{2}$
175378	Simplify	(2a^3-32a)/(2a^3+16a^2+32a)	$\frac{2 a^{3} - 32 a}{2 a^{3} + 16 a^{2} + 32 a}$
175379	Solve for n	n^2-5=-4	$n^{2} - 5 = - 4$
175380	Solve for h	2/3(9h-3)=3h	$\frac{2}{3} (9 h - 3) = 3 h$
175381	Solve by Completing the Square	-2x=x^2-6	$- 2 x = x^{2} - 6$
175382	Simplify	(-2(x^2p^3)^-1)/(3x^10p^-1)	$\frac{- 2 {(x^{2} p^{3})}^{- 1}}{3 x^{10} p^{- 1}}$
175383	Simplify	((x-4)/(x-3))÷((x-4)/(2x-1))	$\frac{x - 4}{x - 3} \div \frac{x - 4}{2 x - 1}$
175384	Simplify	2x^3+x^2+3(x^3-4x^2)	$2 x^{3} + x^{2} + 3 (x^{3} - 4 x^{2})$
175385	Solve for x	(x+5)/(8x)=(6+x)/(8x+3)	$\frac{x + 5}{8 x} = \frac{6 + x}{8 x + 3}$
175386	Solve the Rational Equation for x	square root of 8-2x=x	$\sqrt{8 - 2 x} = x$
175387	Solve for x	(x^2-7x-18)/(x+2)=x-9	$\frac{x^{2} - 7 x - 18}{x + 2} = x - 9$
175388	Solve the Inequality for c	2>c/3	$2 > \frac{c}{3}$
175389	Find the Quotient	(2x^3+4x^2-35x+15)÷(x-3)	$(2 x^{3} + 4 x^{2} - 35 x + 15) \div (x - 3)$
175390	Find the Exact Value	-8(5-(10-4(5-8)))	$- 8 (5 - (10 - 4 (5 - 8)))$
175391	Factor	2ab-ac+4bd-2cd	$2 a b - a c + 4 b d - 2 c d$
175392	Solve for n	l=125/m+50n	$l = \frac{125}{m} + 50 n$
175393	Factor	216e^3-1	$216 e^{3} - 1$
175394	Find the Inverse	f(x)=4x^(1/3)	$f (x) = 4 x^{\frac{1}{3}}$
175395	Solve for x	50/(4x-12)+(x-4)/(x^2+x-12)=x/2	$\frac{50}{4 x - 12} + \frac{x - 4}{x^{2} + x - 12} = \frac{x}{2}$
175396	Solve for N	A=S(1-DN)	$A = S (1 - D N)$
175397	Solve for x	3x-7/(x+6)=2x	$3 x - \frac{7}{x + 6} = 2 x$
175398	Find the Equation of the Circle	center (8,-6) , r=10	center $(8, - 6)$ , $r = 10$
175399	Solve the Inequality for x	10x-10-7x>=3x-2	$10 x - 10 - 7 x \geq 3 x - 2$
175400	Graph	f(x)=(x^2+2x)/(x^2+x-2)	$f (x) = \frac{x^{2} + 2 x}{x^{2} + x - 2}$