Mathway | Popular Problems

Popular Problems

Rank	Topic	Problem	Formatted Problem
166901	Solve the Inequality for x	-7+7x>=0	$- 7 + 7 x \geq 0$
166902	Solve the System of Equations	7x+3=5 and y-1=6	$7 x + 3 = 5$ and $y - 1 = 6$
166903	Find the Holes in the Graph	f(x)=(5x-10)/(x^2-2x)	$f (x) = \frac{5 x - 10}{x^{2} - 2 x}$
166904	Solve for x	4x+2y=116 x+y=35	$4 x + 2 y = 116$ $x + y = 35$
166905	Solve the Inequality for x	x^2+2x>8	$x^{2} + 2 x > 8$
166906	Solve the Inequality for q	2-(-10q-4)>=-8q+6-10q	$2 - (- 10 q - 4) \geq - 8 q + 6 - 10 q$
166907	Simplify	square root of (126xy^5)/(32x^3)	$\sqrt{\frac{126 x y^{5}}{32 x^{3}}}$
166908	Solve for z	1.5-z/0.4=-7.75	$1.5 - \frac{z}{0.4} = - 7.75$
166909	Write in Standard Form	5-3x=2x^2	$5 - 3 x = 2 x^{2}$
166910	Combine Like Terms	y^3-2y^3+3y^3-2x^3+5x+3x-7x^3	$y^{3} - 2 y^{3} + 3 y^{3} - 2 x^{3} + 5 x + 3 x - 7 x^{3}$
166911	Find the Inverse	f(b)=(b+6)(b-2)	$f (b) = (b + 6) (b - 2)$
166912	Solve the Inequality for x	8x>=-32	$8 x \geq - 32$
166913	Find the Function	f(x)=x^2-6x	$f (x) = x^{2} - 6 x$
166914	Solve for x	\|5x\|=3	$\| 5 x \| = 3$
166915	Solve for x	7x-(x+2)+(-x+6)=82x+34	$7 x - (x + 2) + (- x + 6) = 82 x + 34$
166916	Graph	f(x)=5^x and g(x) = log base 5 of x	$f (x) = 5^{x}$ and $g (x) = \log_{5} (x)$
166917	Simplify	17-(2w+3)+7(10-w)	$17 - (2 w + 3) + 7 (10 - w)$
166918	Simplify	4/x+(2x-1)/5	$\frac{4}{x} + \frac{2 x - 1}{5}$
166919	Solve for a	2(a+4)=2a-8+4a	$2 (a + 4) = 2 a - 8 + 4 a$
166920	Simplify	(b^3)/(c^(1/2))*c/(b^(1/3))	$\frac{b^{3}}{c^{\frac{1}{2}}} \cdot \frac{c}{b^{\frac{1}{3}}}$
166921	Simplify	limit as x approaches 2 of (x^2-4)/(x-2)	$lim_{x \to 2} \frac{x^{2} - 4}{x - 2}$
166922	Solve for x	(x-5)^(1/2)+5=2	${(x - 5)}^{\frac{1}{2}} + 5 = 2$
166923	Simplify	(5+6i)/(-2-8i)	$\frac{5 + 6 i}{- 2 - 8 i}$
166924	Solve for x	1/6=5/6x-2/3	$\frac{1}{6} = \frac{5}{6} x - \frac{2}{3}$
166925	Divide Using Long Polynomial Division	(3x^3+x^2-4x+12)/(x+2)	$\frac{3 x^{3} + x^{2} - 4 x + 12}{x + 2}$
166926	Graph	f(x)=(x^3-1)/(x-1)	$f (x) = \frac{x^{3} - 1}{x - 1}$
166927	Write in Exponential Form	1/(( fourth root of 5x)^5)	$\frac{1}{{(\sqrt[4]{5 x})}^{5}}$
166928	Simplify	8/-6	$\frac{8}{- 6}$
166929	Find the Quadratic Equation Given the Roots	1/2 , 3	$\frac{1}{2}$ , $3$
166930	Solve for x	square root of x-5+x=7	$\sqrt{x - 5} + x = 7$
166931	Simplify	(2x)/(3x)	$\frac{2 x}{3 x}$
166932	Solve the System of Equations	y-15=x^2+4x x-y=1	$y - 15 = x^{2} + 4 x$ $x - y = 1$
166933	Solve for z	x/z+2/x=3/x	$\frac{x}{z} + \frac{2}{x} = \frac{3}{x}$
166934	Solve for x	square root of 3x-8+1 = square root of x+5	$\sqrt{3 x - 8} + 1 = \sqrt{x + 5}$
166935	Convert to Polar	(x-3)^2+y^2=9	${(x - 3)}^{2} + y^{2} = 9$
166936	Evaluate	2pi*1/4	$2 π \cdot \frac{1}{4}$
166937	Solve for t	t^3=343	$t^{3} = 343$
166938	Solve for q	5/4q=1/3q-2/3+2	$\frac{5}{4} q = \frac{1}{3} q - \frac{2}{3} + 2$
166939	Write in Exponential Form	( square root of x)^3	${(\sqrt{x})}^{3}$
166940	Solve for y	3/2y-4=3+1/8y-5/4y	$\frac{3}{2} y - 4 = 3 + \frac{1}{8} y - \frac{5}{4} y$
166941	Convert to a Decimal	360deg	$360$ degrees
166942	Simplify	square root of 180*2 square root of 30	$\sqrt{180} \cdot 2 \sqrt{30}$
166943	Simplify	y-1-5/(y+3)	$y - 1 - \frac{5}{y + 3}$
166944	Solve for c	2(5c-7)=1	$2 (5 c - 7) = 1$
166945	Evaluate	4(1.75y-3.5)+1.25y	$4 (1.75 y - 3.5) + 1.25 y$
166946	Write in Standard Form	square root of -7* square root of -14	$\sqrt{- 7} \cdot \sqrt{- 14}$
166947	Solve the Rational Equation for x	x/(x+2)-1/(x-2)=8/(x^2-4)	$\frac{x}{x + 2} - \frac{1}{x - 2} = \frac{8}{x^{2} - 4}$
166948	Solve the Inequality for n	2n-4<3n-6	$2 n - 4 < 3 n - 6$
166949	Simplify	(2 square root of -54)(10 square root of 48)	$(2 \sqrt{- 54}) (10 \sqrt{48})$
166950	Simplify	(12d^10)/(3(d^-4)^2)	$\frac{12 d^{10}}{3 {(d^{- 4})}^{2}}$
166951	Solve the Inequality for x	3(x-4)<=8x+13	$3 (x - 4) \leq 8 x + 13$
166952	Solve the Inequality for x	4x-8>1+4(x+3)	$4 x - 8 > 1 + 4 (x + 3)$
166953	Solve for w	R=(l+3w)/2	$R = \frac{l + 3 w}{2}$
166954	Solve for s	-6=3/4s	$- 6 = \frac{3}{4} s$
166955	Find the Product	-3y^2(-4y^3+y-9)	$- 3 y^{2} (- 4 y^{3} + y - 9)$
166956	Solve the Inequality for t	8>3+t/4	$8 > 3 + \frac{t}{4}$
166957	Solve the System of Inequalities	-13<=3+8p<=11	$- 13 \leq 3 + 8 p \leq 11$
166958	Solve the Inequality for x	square root of 1-x< square root of 2x+6	$\sqrt{1 - x} < \sqrt{2 x + 6}$
166959	Solve the Absolute Value Inequality for b	\|b/5\|=1	$\| \frac{b}{5} \| = 1$
166960	Simplify	x^4 square root of x^3	$x^{4} \sqrt{x^{3}}$
166961	Solve for x	4(x+3)-4=8(1/2x+1)	$4 (x + 3) - 4 = 8 (\frac{1}{2} x + 1)$
166962	Solve for n	(2n-7)/-7=(n-1)/2	$\frac{2 n - 7}{- 7} = \frac{n - 1}{2}$
166963	Solve for k	4/5k=-2k+1/2+3/10k-2	$\frac{4}{5} k = - 2 k + \frac{1}{2} + \frac{3}{10} k - 2$
166964	Simplify	(5/8+3/4)/(-2/3-5/6)	$\frac{\frac{5}{8} + \frac{3}{4}}{\frac{- 2}{3} - \frac{5}{6}}$
166965	Evaluate	0.130+8-121/4	$0.1 \cdot 30 + 8 - 12 \cdot \frac{1}{4}$
166966	Evaluate	log base 2 of c* log base c of 2	$\log_{2} (c) \cdot \log_{c} (2)$
166967	Simplify	3(p+(-3))+5p	$3 (p + (- 3)) + 5 p$
166968	Simplify	square root of -8( square root of -3- square root of 5)	$\sqrt{- 8} (\sqrt{- 3} - \sqrt{5})$
166969	Evaluate the Function	f(2)=4	$f (2) = 4$
166970	Solve for x	-8/(x-8)-1=x/(x-8)	$- \frac{8}{x - 8} - 1 = \frac{x}{x - 8}$
166971	Solve for x	8+\|2x-8\|=13	$8 + \| 2 x - 8 \| = 13$
166972	Describe the Transformation	y=(-x)^2	$y = {(- x)}^{2}$
166973	Solve Using the Quadratic Formula	x+8/(x-2)=1+(4x)/(x-2)	$x + \frac{8}{x - 2} = 1 + \frac{4 x}{x - 2}$
166974	Expand the Logarithmic Expression	log base 5 of 8( square root of t)/v	$\log_{5} (8 \frac{\sqrt{t}}{v})$
166975	Solve for A	t = square root of DA+H	$t = \sqrt{D A + H}$
166976	Graph	7b-4<=10	$7 b - 4 \leq 10$
166977	Simplify	(x+1)/(x-1)+(2x)/(x^2-1)	$\frac{(x + 1)}{(x - 1)} + \frac{2 x}{x^{2} - 1}$
166978	Solve for a	2(a+4)+6a=48	$2 (a + 4) + 6 a = 48$
166979	Find the x and y Intercepts	f(x)=2(x-4)	$f (x) = 2 (x - 4)$
166980	Evaluate	f(2)=2^2	$f (2) = 2^{2}$
166981	Subtract	(-3a^2+2a-5)-(-2a^2+a+6)	$(- 3 a^{2} + 2 a - 5) - (- 2 a^{2} + a + 6)$
166982	Evaluate	1+(-2/3)-(-9/2)	$1 + (- \frac{2}{3}) - (- \frac{9}{2})$
166983	Simplify	(2-(-2))/(4-(-4))	$\frac{2 - (- 2)}{4 - (- 4)}$
166984	Simplify the Radical Expression	(2 cube root of 12)(3 cube root of 2)	$(2 \sqrt[3]{12}) (3 \sqrt[3]{2})$
166985	Find the Domain and Range	f(x)=-2x(x-1)(x-2)	$f (x) = - 2 x (x - 1) (x - 2)$
166986	Simplify	(3x)/(8-x)+(7x+1)/(x-8)	$\frac{3 x}{8 - x} + \frac{7 x + 1}{x - 8}$
166987	Find the Sum and Product of the Roots of the Quadratic Equation	x^2-4x+4=0	$x^{2} - 4 x + 4 = 0$
166988	Evaluate	(5^24-54^2)/(5(4))	$\frac{5^{2} \cdot 4 - 5 \cdot 4^{2}}{5 (4)}$
166989	Solve for b	\|7+5b\|=3	$\| 7 + 5 b \| = 3$
166990	Solve the Inequality for h	-7h+2(-4h+5)>-4h+1+10	$- 7 h + 2 (- 4 h + 5) > - 4 h + 1 + 10$
166991	Simplify	cube root of (125x^11)/4	$\sqrt[3]{\frac{125 x^{11}}{4}}$
166992	Find the Holes in the Graph	f(x)=(3x^2-15x)/(-2x+10)	$f (x) = \frac{3 x^{2} - 15 x}{- 2 x + 10}$
166993	Solve for θ	1+sin(theta)=2cos(theta)^2	$1 + \sin (θ) = 2 \cos^{2} (θ)$
166994	Solve the Inequality for x	2x^2+x-6<=0	$2 x^{2} + x - 6 \leq 0$
166995	Subtract	2x^2-1 from 4x^2+2	$2 x^{2} - 1$ from $4 x^{2} + 2$
166996	Combine Like Terms	x-3y^3+3x^3-5x-x^3-x-2x^3	$x - 3 y^{3} + 3 x^{3} - 5 x - x^{3} - x - 2 x^{3}$
166997	Solve for c	17=\|-5c+2\|	$17 = \| - 5 c + 2 \|$
166998	Solve for x	3^(x+1)<=27	$3^{x + 1} \leq 27$
166999	Solve for y	6(2y+6)=4(9+3y)	$6 (2 y + 6) = 4 (9 + 3 y)$
167000	Simplify	(2^(1/2)*2^(3/4))^2 ?	${(2^{\frac{1}{2}} \cdot 2^{\frac{3}{4}})}^{2}$ ?