Mathway | Popular Problems

Popular Problems

Rank	Topic	Problem	Formatted Problem
198901	Convert to Interval Notation	x<-5 and x<5	$x < - 5$ and $x < 5$
198902	Evaluate	(5+-1)/2	$\frac{5 + - 1}{2}$
198903	Simplify	3x^2y^2-5xy^2-3x^2y^2+2x^2	$3 x^{2} y^{2} - 5 x y^{2} - 3 x^{2} y^{2} + 2 x^{2}$
198904	Solve Using the Quadratic Formula	x+x^2	$x + x^{2}$
198905	Evaluate	((4x^5y)/(16xy^4))^3	${(\frac{4 x^{5} y}{16 x y^{4}})}^{3}$
198906	Simplify	x^2-(-7xy+(-y^2+(-x^2+3xy-2y^2)))	$x^{2} - (- 7 x y + (- y^{2} + (- x^{2} + 3 x y - 2 y^{2})))$
198907	Graph	-2x+3y<9 x^2-y<=10 4x+y>3	$- 2 x + 3 y < 9$ $x^{2} - y \leq 10$ $4 x + y > 3$
198908	Solve the Inequality for x	7(x-3)<2(4x-1)	$7 (x - 3) < 2 (4 x - 1)$
198909	Find All Complex Solutions	3tan(x)=- square root of 3	$3 \tan (x) = - \sqrt{3}$
198910	Simplify	((25c^-1)/5)^2	${(\frac{25 c^{- 1}}{5})}^{2}$
198911	Solve for t	7t=x ; for t	$7 t = x$ ; for $t$
198912	Solve for n	n-3/8=1/8	$n - \frac{3}{8} = \frac{1}{8}$
198913	Solve for T	T=2pi square root of L/980	$T = 2 π \sqrt{\frac{L}{980}}$
198914	Evaluate	tan(arcsin(u))	$\tan (\arcsin (u))$
198915	Solve for x	x^2+(2/3)^2=1	$x^{2} + {(\frac{2}{3})}^{2} = 1$
198916	Simplify	3/(-2+ square root of 13)	$\frac{3}{- 2 + \sqrt{13}}$
198917	Evaluate	q+p+q+p+q	$q + p + q + p + q$
198918	Evaluate	14+-8	$14 + - 8$
198919	Solve the Absolute Value Inequality for d	3-5\|2d-3\|=4	$3 - 5 \| 2 d - 3 \| = 4$
198920	Simplify	(3^4)^-4	${(3^{4})}^{- 4}$
198921	Find All Complex Solutions	log base 11 of x+ log base 11 of 10x-1=1	$\log_{11} (x) + \log_{11} (10 x - 1) = 1$
198922	Evaluate	square root of 3cot(theta)-1=0	$\sqrt{3} \cot (θ) - 1 = 0$
198923	Solve Using the Quadratic Formula	1/x+1/(x+4)=1/3	$\frac{1}{x} + \frac{1}{x + 4} = \frac{1}{3}$
198924	Solve the Inequality for x	(x-1)(x+2)>0	$(x - 1) (x + 2) > 0$
198925	Convert to Interval Notation	3^(2n)>=6^(n+1)	$3^{2 n} \geq 6^{n + 1}$
198926	Subtract	12--2	$12 - - 2$
198927	Solve for x	1/2x+1=3/2x-8	$\frac{1}{2} x + 1 = \frac{3}{2} x - 8$
198928	Solve for n	3/(2n)+1/(n^2)=(n-2)/(2n^2)	$\frac{3}{2 n} + \frac{1}{n^{2}} = \frac{n - 2}{2 n^{2}}$
198929	Solve the System of Equations	4x+y=1 -20x-6y=5	$4 x + y = 1$ $- 20 x - 6 y = 5$
198930	Factor	(x-y)^2+4z(x-y)+3z^2	${(x - y)}^{2} + 4 z (x - y) + 3 z^{2}$
198931	Graph	f(x)=x+4 if x<2; x-4 if x>=2	$f (x) = {\begin{cases} x + 4 & x < 2 \\ x - 4 & x \geq 2 \end{cases}$
198932	Simplify	cube root of 24n^2* cube root of 36n^2	$\sqrt[3]{24 n^{2}} \cdot \sqrt[3]{36 n^{2}}$
198933	Graph	y=e^x and y = natural log of x	$y = e^{x}$ and $y = \ln (x)$
198934	Subtract	1 1/2-1/4	$1 \frac{1}{2} - \frac{1}{4}$
198935	Find the LCD	-3/(5x+5) and (2x)/(x+1)	$\frac{- 3}{5 x + 5}$ and $\frac{2 x}{x + 1}$
198936	Evaluate	2*1/2 square root of 3	$2 \cdot \frac{1}{2} \sqrt{3}$
198937	Find the Product	(x+5)(x+6)	$(x + 5) (x + 6)$
198938	Convert to a Simplified Fraction	10/12	$\frac{10}{12}$
198939	Simplify	square root of -18( square root of -5- square root of 7)	$\sqrt{- 18} (\sqrt{- 5} - \sqrt{7})$
198940	Simplify	-36+x<8	$- 36 + x < 8$
198941	Solve for d	-8d+11d=9	$- 8 d + 11 d = 9$
198942	Simplify	cube root of (x^6)/(x^10)	$\sqrt[3]{\frac{x^{6}}{x^{10}}}$
198943	Solve for z	7z^2+8z+3=3z^2	$7 z^{2} + 8 z + 3 = 3 z^{2}$
198944	Solve for y	7 = square root of y+2	$7 = \sqrt{y} + 2$
198945	Simplify	-1f(-9)+7g(6)	$- 1 \cdot f (- 9) + 7 \cdot g (6)$
198946	Convert to Polar	y=-4	$y = - 4$
198947	Graph	f(x)=(6x^2+7x-9)/(2x+1)	$f (x) = \frac{6 x^{2} + 7 x - 9}{2 x + 1}$
198948	Solve for x	(1/16384)^(-5x+13)=(1/4096)^(x+3)	${(\frac{1}{16384})}^{- 5 x + 13} = {(\frac{1}{4096})}^{x + 3}$
198949	Describe the Transformation	y=(x+2)^2-4	$y = {(x + 2)}^{2} - 4$
198950	Evaluate	(-3)^2+(-3)	${(- 3)}^{2} + (- 3)$
198951	Solve for x	log base 2 of x+3+ log base 2 of x^2-3x-2 = log base 2 of x^2+x-6+2	$\log_{2} (x + 3) + \log_{2} (x^{2} - 3 x - 2) = \log_{2} (x^{2} + x - 6) + 2$
198952	Combine Like Terms	-6+3(2+(-4t))	$- 6 + 3 (2 + (- 4 t))$
198953	Simplify	square root of -5* square root of -3	$\sqrt{- 5} \cdot \sqrt{- 3}$
198954	Find the End Behavior	f(x)=-640x+10x^3-20x^2+1280	$f (x) = - 640 x + 10 x^{3} - 20 x^{2} + 1280$
198955	Evaluate	(p-q)(2)	$(p - q) (2)$
198956	Solve for m₁	f=(gm_1m_2)/(r^2)	$f = \frac{g m_{1} m_{2}}{r^{2}}$
198957	Solve for d	9d-7<=d+2	$9 d - 7 \leq d + 2$
198958	Solve the Inequality for x	(x-5)(x+3)<=0	$(x - 5) (x + 3) \leq 0$
198959	Solve for d	0.2(d-6)=0.3d+5-3+0.1d	$0.2 (d - 6) = 0.3 d + 5 - 3 + 0.1 d$
198960	Simplify	(3-i)/4-(2+i)/3	$\frac{3 - i}{4} - \frac{2 + i}{3}$
198961	Solve for x	2x-10=7+y	$2 x - 10 = 7 + y$
198962	Solve the System of Inequalities	14r+20<14r+16 or 8-10r>=15-9r	$14 r + 20 < 14 r + 16$ or $8 - 10 r \geq 15 - 9 r$
198963	Find the Holes in the Graph	(-4x^2+16x-16)/(3x^2-3x-6)	$\frac{- 4 x^{2} + 16 x - 16}{3 x^{2} - 3 x - 6}$
198964	Solve for a	limit as x approaches 1 of (a-5bx)/(6x-6)=5/6	$lim_{x \to 1} \frac{a - 5 b x}{6 x - 6} = \frac{5}{6}$
198965	Solve for z	5(4z)-1/2z=234	$5 (4 z) - \frac{1}{2} z = 234$
198966	Evaluate	2x-3=0	$2 x - 3 = 0$
198967	Find the Quadratic Equation Given the Roots	-8 and -9	$- 8$ and $- 9$
198968	Solve the Inequality for n	-1/3(21-9n)>=4(2n-7)-9	$- \frac{1}{3} (21 - 9 n) \geq 4 (2 n - 7) - 9$
198969	Find the Exact Value	arcos (1/2)	arcos $(\frac{1}{2})$
198970	Find the Roots (Zeros)	y=9x^2-81	$y = 9 x^{2} - 81$
198971	Factor	2x^2-18=0	$2 x^{2} - 18 = 0$
198972	Solve for x	y=(x-1)m	$y = (x - 1) m$
198973	Write in Slope-Intercept Form	1/4y+3=-5x	$\frac{1}{4} y + 3 = - 5 x$
198974	Simplify	(ab-1)^2	${(a b - 1)}^{2}$
198975	Find the Function	f(t) = square root of t^2+1	$f (t) = \sqrt{t^{2} + 1}$
198976	Find the Product	(5x+3y)(5x-3y)	$(5 x + 3 y) (5 x - 3 y)$
198977	Solve for z	4/(3+z)=6/5	$\frac{4}{3 + z} = \frac{6}{5}$
198978	Evaluate	((2.1)^2-2*2.1)/((2.1)^2-4)	$\frac{{(2.1)}^{2} - 2 \cdot 2.1}{{(2.1)}^{2} - 4}$
198979	Factor	x^6-1=0	$x^{6} - 1 = 0$
198980	Find the LCD	(9x)/(x+1) and -3/(4x+4)	$\frac{9 x}{x + 1}$ and $\frac{- 3}{4 x + 4}$
198981	Solve the Absolute Value Inequality for x	\|x-7\|>=2	$\| x - 7 \| \geq 2$
198982	Solve for a	5a^2-14a=-280	$5 a^{2} - 14 a = - 280$
198983	Multiply	(z+5)(z-9)(1-z)	$(z + 5) (z - 9) (1 - z)$
198984	Solve the Inequality for x	x^2-x-30>=0	$x^{2} - x - 30 \geq 0$
198985	Solve the Inequality for x	2x^3>-6x^2	$2 x^{3} > - 6 x^{2}$
198986	Find the Domain and Range	g(x)=1/(3x)-7	$g (x) = \frac{1}{3 x} - 7$
198987	Simplify	(16x^8y^-4)^(-1/4)	${(16 x^{8} y^{- 4})}^{- \frac{1}{4}}$
198988	Solve for c	A=1/2h(b+c) ; solve for c	$A = \frac{1}{2} h (b + c)$ ; solve for $c$
198989	Solve for x	(x-7)/90-7/10=-1	$\frac{x - 7}{90} - \frac{7}{10} = - 1$
198990	Evaluate	f(x) = square root of 3-3	$f (x) = \sqrt{3 - 3}$
198991	Write as a Single Logarithm	1/2 log of a-3 log of b	$\frac{1}{2} \log (a) - 3 \log (b)$
198992	Factor	y=x^2+x-2	$y = x^{2} + x - 2$
198993	Multiply	1/6*-4	$\frac{1}{6} \cdot - 4$
198994	Solve the System of Equations	y=x^2-3x+10 y=x+10	$y = x^{2} - 3 x + 10$ $y = x + 10$
198995	Evaluate	9-3/(1/3)+1	$9 - \frac{3}{\frac{1}{3}} + 1$
198996	Solve the Absolute Value Inequality for x	\|3x+1\|>2	$\| 3 x + 1 \| > 2$
198997	Describe the Transformation	y=-2f(x)	$y = - 2 f (x)$
198998	Solve for x	9=3e^x	$9 = 3 e^{x}$
198999	Simplify	(x^2+1/x)/(((x+1)^2)/(4x))	$\frac{x^{2} + \frac{1}{x}}{\frac{{(x + 1)}^{2}}{4 x}}$
199000	Evaluate	(5z^2+3z+2)^2	${(5 z^{2} + 3 z + 2)}^{2}$