Mathway | Popular Problems

Popular Problems

Rank	Topic	Problem	Formatted Problem
237001	Write in Standard Form	y=1x-3	$y = 1 x - 3$
237002	Simplify	-6x^2-2x+5-2x^2+8	$- 6 x^{2} - 2 x + 5 - 2 x^{2} + 8$
237003	Find the Roots (Zeros)	x^8=-x^7+3	$x^{8} = - x^{7} + 3$
237004	Factor	x^4-4x^3-12x^2-x^2+4x+12	$x^{4} - 4 x^{3} - 12 x^{2} - x^{2} + 4 x + 12$
237005	Solve the System of Equations	x^2+y^2=25 2x-y=5	$x^{2} + y^{2} = 25$ $2 x - y = 5$
237006	Solve the System of Inequalities	x>=-1 or x<2	$x \geq - 1$ or $x < 2$
237007	Solve for x	cos(x)^2=-1	$\cos^{2} (x) = - 1$
237008	Convert to a Decimal	cos(51)deg	$\cos (51)$ degrees
237009	Find the Function Rule	table[[x,y],[0,0],[1,1],[2,4],[3,9]]	$\begin{array}{c} x & y \\ 0 & 0 \\ 1 & 1 \\ 2 & 4 \\ 3 & 9 \end{array}$
237010	Simplify	4 square root of 3+2/( square root of 3)	$4 \sqrt{3} + \frac{2}{\sqrt{3}}$
237011	Describe the Transformation	f(x) = cube root of x g(x)=-5 cube root of x	$f (x) = \sqrt[3]{x}$ $g (x) = - 5 \sqrt[3]{x}$
237012	Find the Degree, Leading Term, and Leading Coefficient	h(x)=6x^3-9x^-3+x^2-5x-1	$h (x) = 6 x^{3} - 9 x^{- 3} + x^{2} - 5 x - 1$
237013	Find the Inverse	f(x)=((x^5)/7)^(1/7)-1	$f (x) = {(\frac{x^{5}}{7})}^{\frac{1}{7}} - 1$
237014	Rationalize the Denominator	( square root of 4)/( square root of 121)	$\frac{\sqrt{4}}{\sqrt{121}}$
237015	Evaluate	square root of 1-5x=1+ square root of 6-x	$\sqrt{1 - 5 x} = 1 + \sqrt{6 - x}$
237016	Solve for x	\|x-1\|+1=0	$\| x - 1 \| + 1 = 0$
237017	Solve for x	4/9=x/(x+15)	$\frac{4}{9} = \frac{x}{x + 15}$
237018	Evaluate	tan(theta)=3/4	$\tan (θ) = \frac{3}{4}$
237019	Divide	1 2/10÷1 4/10	$1 \frac{2}{10} \div 1 \frac{4}{10}$
237020	Solve for b	(5^4)/(5^3)=5^b	$\frac{5^{4}}{5^{3}} = 5^{b}$
237021	Solve for y	(y-6)h=C	$(y - 6) h = C$
237022	Simplify	(1-sin(theta)^2)(1+cot(theta)^2)	$(1 - \sin^{2} (θ)) (1 + \cot^{2} (θ))$
237023	Solve for V	V=5a2a(a^3-3a^2+a)	$V = 5 a \cdot 2 a \cdot (a^{3} - 3 a^{2} + a)$
237024	Factor	a(x+y)^2+b^2(x+y)	$a {(x + y)}^{2} + b^{2} (x + y)$
237025	Solve for x	5/(2x+2)-1/6=2/(x+3)	$\frac{5}{2 x + 2} - \frac{1}{6} = \frac{2}{x + 3}$
237026	Factor	x^5+x^3-x^2-1	$x^{5} + x^{3} - x^{2} - 1$
237027	Find the Quadratic Equation Given the Roots	-3 and -2/3	$- 3$ and $- \frac{2}{3}$
237028	Find the Equation Using Point-Slope Formula	(8,-1) and slope m=-3	$(8, - 1)$ and slope $m = - 3$
237029	Evaluate	48/(cos(72))	$\frac{48}{\cos (72)}$
237030	Simplify the Radical Expression	(5 square root of -1)(-5 square root of 16)	$(5 \sqrt{- 1}) (- 5 \sqrt{16})$
237031	Evaluate Using the Given Value	Evaluate 5-t/3 when t=12	Evaluate $5 - \frac{t}{3}$ when $t = 12$
237032	Solve for x	(x-4)-(x+7)=8x	$(x - 4) - (x + 7) = 8 x$
237033	Find the Function	f(x)=(-x)^(1/2)	$f (x) = {(- x)}^{\frac{1}{2}}$
237034	Solve for x	log base 5 of 25/x=4+ log base 5 of x	$\log_{5} (\frac{25}{x}) = 4 + \log_{5} (x)$
237035	Solve for x	square root of x+3-x=3	$\sqrt{x + 3 - x} = 3$
237036	Simplify	-(c^10)/(7c)	$- \frac{c^{10}}{7 c}$
237037	Simplify	(6p)/( square root of 4p^7)	$\frac{6 p}{\sqrt{4 p^{7}}}$
237038	Solve the Inequality for x	3x<6(x-1)-12	$3 x < 6 (x - 1) - 12$
237039	Solve for y	3/2=1/6(12y-24)	$\frac{3}{2} = \frac{1}{6} (12 y - 24)$
237040	Evaluate	sin(60 degrees )^2	$\sin^{2} (60 °)$
237041	Evaluate	pi-cos(pi)	$π - \cos (π)$
237042	Simplify	(x^2+12x+32)-(x+4)	$(x^{2} + 12 x + 32) - (x + 4)$
237043	Solve the Inequality for x	6(x+5)-7<=8x+1	$6 (x + 5) - 7 \leq 8 x + 1$
237044	Graph	x/2+y/4=1	$\frac{x}{2} + \frac{y}{4} = 1$
237045	Convert to a Decimal	sin(570)deg	$\sin (570)$ degrees
237046	Find the x and y Intercepts	y+15=x+6	$y + 15 = x + 6$
237047	Solve for θ	tan(theta)=-3/4	$\tan (θ) = - \frac{3}{4}$
237048	Solve the Inequality for x	(x+2)^2>0	${(x + 2)}^{2} > 0$
237049	Simplify	square root of 4-2	$\sqrt{4} - 2$
237050	Find the Excluded Values	(x^2-9x+14)/(x^2-4)*(x^2+3x+2)/(x^2-6x-7)	$\frac{x^{2} - 9 x + 14}{x^{2} - 4} \cdot \frac{x^{2} + 3 x + 2}{x^{2} - 6 x - 7}$
237051	Simplify	((4x+16)/(25x^2-9))÷((3x+2)/(5x-3))	$\frac{4 x + 16}{25 x^{2} - 9} \div \frac{3 x + 2}{5 x - 3}$
237052	Divide Using Synthetic Division	2x^3+7x^2-8x-16 divided by x+4	$2 x^{3} + 7 x^{2} - 8 x - 16$ divided by $x + 4$
237053	Evaluate	x^4-81=0	$x^{4} - 81 = 0$
237054	Solve the System of Equations	3a+b=1 a+b=3	$3 a + b = 1$ $a + b = 3$
237055	Write in Standard Form	(x^2+17x+70)+(x+10)	$(x^{2} + 17 x + 70) + (x + 10)$
237056	Find the Inverse	(x^(1/2))/4	$\frac{x^{\frac{1}{2}}}{4}$
237057	Write in Slope-Intercept Form	(-2,2) and (-5,-4)	$(- 2, 2)$ and $(- 5, - 4)$
237058	Convert to a Decimal	42deg	$42$ degrees
237059	Solve for x	-sec(x)^2=0	$- \sec^{2} (x) = 0$
237060	Solve for x	(x^2-1)/(x^2+5x+4)<=0	$\frac{x^{2} - 1}{x^{2} + 5 x + 4} \leq 0$
237061	Evaluate	square root of x-5=4	$\sqrt{x - 5} = 4$
237062	Solve for k	p(x)=x^4-2x^3+kx-4	$p (x) = x^{4} - 2 x^{3} + k x - 4$
237063	Simplify/Condense	log base b of 7- log base b of 7	$\log_{b} (7) - \log_{b} (7)$
237064	Simplify	cube root of (3x)/(7x^2)	$\sqrt[3]{\frac{3 x}{7 x^{2}}}$
237065	Solve for x	6sin(8x)+2=-3	$6 \sin (8 x) + 2 = - 3$
237066	Find the Equation with a Point and Slope	What is the equation of the line that passes through the point (-5,2) and has a slope of 4/5 ?	What is the equation of the line that passes through the point $(- 5, 2)$ and has a slope of $\frac{4}{5}$ ?
237067	Evaluate	1-2sin(75)^2	$1 - 2 \sin^{2} (75)$
237068	Find the Exact Value	fifth root of 89x^15	$\sqrt[5]{89 x^{15}}$
237069	Simplify	12+(2-(4*a^2))÷7+b	$12 + (2 - (4 \cdot a^{2})) \div 7 + b$
237070	Evaluate the Function	f(x)=(7-8x)^2	$f (x) = {(7 - 8 x)}^{2}$
237071	Evaluate	60 degrees *pi/180 degrees	$60 ° \cdot \frac{π}{180 °}$
237072	Multiply	(-2 square root of 20k)(5 square root of 8k^3)	$(- 2 \sqrt{20 k}) (5 \sqrt{8 k^{3}})$
237073	Simplify	-3(2x^2-x+12)-4	$- 3 (2 x^{2} - x + 12) - 4$
237074	Solve for r	square root of r=6	$\sqrt{r} = 6$
237075	Multiply	(x^2-1)/(x^2-6x+5)*(3x-15)/(6x)	$\frac{x^{2} - 1}{x^{2} - 6 x + 5} \cdot \frac{3 x - 15}{6 x}$
237076	Evaluate	8/(-4(x+3)^2+5(x+3))	$\frac{8}{- 4 {(x + 3)}^{2} + 5 (x + 3)}$
237077	Solve for x	16(1/2)^(x/3)=4	$16 {(\frac{1}{2})}^{\frac{x}{3}} = 4$
237078	Evaluate	sin((-pi)/4)	$\sin (\frac{- π}{4})$
237079	Evaluate	1/5-2/3+1	$\frac{1}{5} - \frac{2}{3} + 1$
237080	Simplify	(1/16)^0.5	${(\frac{1}{16})}^{0.5}$
237081	Find the Domain and Range	y=\|2x-1\|	$y = \| 2 x - 1 \|$
237082	Solve for x	0.5(2x+8)=x-4	$0.5 (2 x + 8) = x - 4$
237083	Find the Domain and Range	G(x) = log base 3 of 2x+1-2	$G (x) = \log_{3} (2 x + 1) - 2$
237084	Simplify the Radical Expression	cube root of 64x* fourth root of 16x^2	$\sqrt[3]{64 x} \cdot \sqrt[4]{16 x^{2}}$
237085	Simplify	cube root of 5x^(k+1)* cube root of 25x^k	$\sqrt[3]{5 x^{k + 1}} \cdot \sqrt[3]{25 x^{k}}$
237086	Simplify	-x^2+-x^2	$- x^{2} + - x^{2}$
237087	Evaluate	121212+1212+1212+(12÷12)÷12+12÷12	$12 \cdot 12 \cdot 12 + 12 \cdot 12 + 12 \cdot 12 + 12 \div 12 \div 12 + 12 \div 12$
237088	Simplify	(12km^3)/(-4m^3)	$\frac{12 {km}^{3}}{- 4 m^{3}}$
237089	Factor	-x^8+4x^6-5x^4+2x^2	$- x^{8} + 4 x^{6} - 5 x^{4} + 2 x^{2}$
237090	Simplify	(3-4\|2(-3)\|)/(\|-3\|)	$\frac{3 - 4 \| 2 (- 3) \|}{\| - 3 \|}$
237091	Simplify the Radical Expression	(4^5*4^-7)÷(4^-2)	$4^{5} \cdot 4^{- 7} \div 4^{- 2}$
237092	Solve for x	4\|1-2x\|-7>=21	$4 \| 1 - 2 x \| - 7 \geq 21$
237093	Simplify	3x^3+x+4y^2+2y^2	$3 x^{3} + x + 4 y^{2} + 2 y^{2}$
237094	Evaluate	1/2 log base 3 of 81	$\frac{1}{2} \log_{3} (81)$
237095	Simplify	ab(-8a^3b^2)	$a b (- 8 a^{3} b^{2})$
237096	Find the x and y Intercepts	f(x)=x(4x+1)^2(x-6)(x-6)(x^2+1)(x^2-6)	$f (x) = x {(4 x + 1)}^{2} (x - 6) (x - 6) (x^{2} + 1) (x^{2} - 6)$
237097	Solve for x	4^2=3^2+x^2	$4^{2} = 3^{2} + x^{2}$
237098	Simplify	5/6a+4 1/4a	$\frac{5}{6} a + 4 \frac{1}{4} a$
237099	Simplify/Condense	2* log base 4 of 9+3* log base 4 of 2	$2 \cdot \log_{4} (9) + 3 \cdot \log_{4} (2)$
237100	Evaluate	(x^-2y^(1/2))/(x^(1/3)y^-1)	$\frac{x^{- 2} y^{\frac{1}{2}}}{x^{\frac{1}{3}} y^{- 1}}$