Mathway | Popular Problems

Popular Problems

Rank	Topic	Problem	Formatted Problem
190901	Evaluate	8-\|2*-3.5-5\|	$8 - \| 2 \cdot - 3.5 - 5 \|$
190902	Solve for M	v = square root of (3RT)/M	$v = \sqrt{\frac{3 R T}{M}}$
190903	Simplify	square root of 63x^3+9x square root of 112x	$\sqrt{63 x^{3}} + 9 x \sqrt{112 x}$
190904	Solve for x	x(x^2-1)=3+x^3	$x (x^{2} - 1) = 3 + x^{3}$
190905	Factor	5z^3-2z^4-9z^2+z	$5 z^{3} - 2 z^{4} - 9 z^{2} + z$
190906	Find the Exact Value	7/2+9/6	$\frac{7}{2} + \frac{9}{6}$
190907	Solve for x	9-(7-x)=-5x-1+7x	$9 - (7 - x) = - 5 x - 1 + 7 x$
190908	Solve for x	7x^2-14x+5=-x^2	$7 x^{2} - 14 x + 5 = - x^{2}$
190909	Divide	1 3/4÷(2/3)	$1 \frac{3}{4} \div \frac{2}{3}$
190910	Simplify	-7/8-(-5/6)	$- \frac{7}{8} - (- \frac{5}{6})$
190911	Solve for x	2+2/x=3	$2 + \frac{2}{x} = 3$
190912	Find the Product	fourth root of 7* fourth root of 7* fourth root of 7* fourth root of 7	$\sqrt[4]{7} \cdot \sqrt[4]{7} \cdot \sqrt[4]{7} \cdot \sqrt[4]{7}$
190913	Solve for v	3+v=2(2v-1)	$3 + v = 2 (2 v - 1)$
190914	Solve for c	2c+6>5c-9	$2 c + 6 > 5 c - 9$
190915	Evaluate	5!4!	$5! 4!$
190916	Simplify	4/52*3/51	$\frac{4}{52} \cdot \frac{3}{51}$
190917	Find the Exact Value	-6+(3-(4-2(4-7)))	$- 6 + (3 - (4 - 2 (4 - 7)))$
190918	Write in Standard Form	x(x+3)=2	$x (x + 3) = 2$
190919	Solve for a	( square root of x)/((x^(1/2))^5)=x^a	$\frac{\sqrt{x}}{{(x^{\frac{1}{2}})}^{5}} = x^{a}$
190920	Simplify	3/(x+7)*4/x	$\frac{3}{x + 7} \cdot \frac{4}{x}$
190921	Solve for x	(3x+7)/(x-6)+2/(x-1)=(2x)/(x-1)	$\frac{3 x + 7}{x - 6} + \frac{2}{x - 1} = \frac{2 x}{x - 1}$
190922	Solve for p	square root of -5p = square root of 24-p	$\sqrt{- 5 p} = \sqrt{24 - p}$
190923	Find f(g(x))	f(x) = square root of x and g(x)=x-2	$f (x) = \sqrt{x}$ and $g (x) = x - 2$
190924	Simplify	2p-(6.7q-1)	$2 p - (6.7 q - 1)$
190925	Find the x and y Intercepts	(-2x^2-4x)/(4x+8)	$\frac{- 2 x^{2} - 4 x}{4 x + 8}$
190926	Write Using Positive Exponents	(9^-3)(9^12)	$(9^{- 3}) (9^{12})$
190927	Solve for q	11(q+3)-5=19	$11 (q + 3) - 5 = 19$
190928	Solve for z	4(z-5)+2=4z-18	$4 (z - 5) + 2 = 4 z - 18$
190929	Graph	x^2+y^2=z	$x^{2} + y^{2} = z$
190930	Graph	x^2+20x+y^2-20y+200=0	$x^{2} + 20 x + y^{2} - 20 y + 200 = 0$
190931	Solve for x	5x-(x-11)=8	$5 x - (x - 11) = 8$
190932	Simplify	-3/7+5/2	$- \frac{3}{7} + \frac{5}{2}$
190933	Rationalize the Denominator	( cube root of 2)/( fourth root of 5)	$\frac{\sqrt[3]{2}}{\sqrt[4]{5}}$
190934	Find the End Behavior	f(x)=-3072+2432x+128x^4-576x^3+256x^2-8x^5	$f (x) = - 3072 + 2432 x + 128 x^{4} - 576 x^{3} + 256 x^{2} - 8 x^{5}$
190935	Determine if Perpendicular	y=5/3x+7 6x-10y=10	$y = \frac{5}{3} x + 7$ $6 x - 10 y = 10$
190936	Solve for x	2-3x=0	$2 - 3 x = 0$
190937	Solve the Inequality for x	(x+1)/3-(2x-4)/6<=-x/2	$\frac{x + 1}{3} - \frac{2 x - 4}{6} \leq - \frac{x}{2}$
190938	Simplify	square root of 11x square root of 2x	$\sqrt{11 x} \sqrt{2 x}$
190939	Find the Inverse	f(x)=(x^(1/3)+10)/3	$f (x) = \frac{x^{\frac{1}{3}} + 10}{3}$
190940	Evaluate	(7x^2-2)-(2x^2-5x+3)	$(7 x^{2} - 2) - (2 x^{2} - 5 x + 3)$
190941	Solve for k	2x^2-5x-k=0	$2 x^{2} - 5 x - k = 0$
190942	Simplify	(7p^-3)(-6p^5q^-2)	$(7 p^{- 3}) (- 6 p^{5} q^{- 2})$
190943	Evaluate	3/(2(1)^(1/2))	$\frac{3}{2 {(1)}^{\frac{1}{2}}}$
190944	Evaluate the Function	f(x)=-x^2-4 for x=-3	$f (x) = - x^{2} - 4$ for $x = - 3$
190945	Solve for x	3/4x+1/4=2	$\frac{3}{4} x + \frac{1}{4} = 2$
190946	Solve for x	3/(x-4)=2/(x-3)+8/(x^2-7x+12)	$\frac{3}{x - 4} = \frac{2}{x - 3} + \frac{8}{x^{2} - 7 x + 12}$
190947	Find the x and y Intercepts	y=-2\|x-4\|+6	$y = - 2 \| x - 4 \| + 6$
190948	Find the Inverse	f(x)=(x^5+3)^(1/3)	$f (x) = {(x^{5} + 3)}^{\frac{1}{3}}$
190949	Solve the Absolute Value Inequality for x	-2\|-2x-4\|=-12	$- 2 \| - 2 x - 4 \| = - 12$
190950	Solve for x	(4x-y)/2=5	$\frac{4 x - y}{2} = 5$
190951	Graph	f(x)=x^5-x^3+x^2	$f (x) = x^{5} - x^{3} + x^{2}$
190952	Simplify	33x^2y4zxyz	$3 \cdot 3 x^{2} \cdot y \cdot 4 z \cdot x \cdot y \cdot z$
190953	Solve the System of Inequalities	(2x-1)/3+3<=-4 or (8x-2)/2-1>=6	$\frac{2 x - 1}{3} + 3 \leq - 4$ or $\frac{8 x - 2}{2} - 1 \geq 6$
190954	Find the Exact Value	cos(x)^2-sin(x)^2	$\cos^{2} (x) - \sin^{2} (x)$
190955	Simplify	-cos(x)^2-sin(x)^2	$- \cos^{2} (x) - \sin^{2} (x)$
190956	Graph	find the value of x so that f(x)=7	find the value of $x$ so that $f (x) = 7$
190957	Evaluate	3(2/3)-2	$3 (\frac{2}{3}) - 2$
190958	Solve for p	4(1-p)=-4p+4	$4 (1 - p) = - 4 p + 4$
190959	Solve the System of Equations	3x-4y=6 x=4/3y+2	$3 x - 4 y = 6$ $x = \frac{4}{3} y + 2$
190960	Find the Excluded Values	(x^2-x-6)/(4x^3)*(2x^2+2x)/(x^2+5x+6)	$\frac{x^{2} - x - 6}{4 x^{3}} \cdot \frac{2 x^{2} + 2 x}{x^{2} + 5 x + 6}$
190961	Graph	g(x)=1/2f(x+1)	$g (x) = \frac{1}{2} f (x + 1)$
190962	Solve for x	19+(x+3)/2-14=1	$19 + \frac{x + 3}{2} - 14 = 1$
190963	Convert to Interval Notation	x<-1 or x>9	$x < - 1$ or $x > 9$
190964	Simplify	2/(x^2)-7/(4x^2+12x)	$\frac{2}{x^{2}} - \frac{7}{4 x^{2} + 12 x}$
190965	Find the Domain and Range	y=-1/3cos(3x)	$y = - \frac{1}{3} \cos (3 x)$
190966	Write in Slope-Intercept Form	-3x+5y=2x+3y	$- 3 x + 5 y = 2 x + 3 y$
190967	Solve the Inequality for x	log base 0.5 of 4x+1< log base 0.5 of 1-4x	$\log_{0.5} (4 x + 1) < \log_{0.5} (1 - 4 x)$
190968	Graph	f(x)=-1/2(x-5)^2-3	$f (x) = - \frac{1}{2} {(x - 5)}^{2} - 3$
190969	Simplify	(4-5x)(1-2x)(3x+2)	$(4 - 5 x) (1 - 2 x) (3 x + 2)$
190970	Evaluate	1/4-2 cube root of -1/216	$\frac{1}{4} - 2 \sqrt[3]{- \frac{1}{216}}$
190971	Write in Standard Form	x^2+3y^2-4x+24y=-52	$x^{2} + 3 y^{2} - 4 x + 24 y = - 52$
190972	Multiply	(-2/3)*3/3	$(- \frac{2}{3}) \cdot \frac{3}{3}$
190973	Determine if True	tan(x)+cot(x)=sec(x)csc(x)	$\tan (x) + \cot (x) = \sec (x) \csc (x)$
190974	Find the Holes in the Graph	f(x)=(x^3-2x^2-3x)/(-14x^2+16)	$f (x) = \frac{x^{3} - 2 x^{2} - 3 x}{- 14 x^{2} + 16}$
190975	Graph	y=(2x^2)/(x^2-1)	$y = \frac{2 x^{2}}{x^{2} - 1}$
190976	Simplify	(4-3i)/(-4i)	$\frac{4 - 3 i}{- 4 i}$
190977	Solve the Inequality for g	g-6>-1	$g - 6 > - 1$
190978	Find the Holes in the Graph	f(x)=(x^2-3x)/(x-5)	$f (x) = \frac{x^{2} - 3 x}{x - 5}$
190979	Solve for x	log base x of 2x^2-8x+12=2	$\log_{x} (2 x^{2} - 8 x + 12) = 2$
190980	Solve for x	x/(x+3)=2/(x+1)-(2x)/(x^2+4x+3)	$\frac{x}{x + 3} = \frac{2}{x + 1} - \frac{2 x}{x^{2} + 4 x + 3}$
190981	Solve for θ	csc(theta)=- square root of 2	$\csc (θ) = - \sqrt{2}$
190982	Graph	y=1/2cot(1/2x)	$y = \frac{1}{2} \cot (\frac{1}{2} x)$
190983	Find the x and y Intercepts	x^3+x^2-2x	$x^{3} + x^{2} - 2 x$
190984	Write in Standard Form	2/3(x-4)(x+5)=1	$\frac{2}{3} (x - 4) (x + 5) = 1$
190985	Graph	y=0 , 5x	$y = 0$ , $5 x$
190986	Simplify	(x^2+3x)+(-2x^2+9x+5)	$(x^{2} + 3 x) + (- 2 x^{2} + 9 x + 5)$
190987	Find f(g(x))	f(x)=x/2 g(x)=2x	$f (x) = \frac{x}{2}$ $g (x) = 2 x$
190988	Solve Using the Square Root Property	x^2=-1	$x^{2} = - 1$
190989	Find the Parallel Line	(-2,5) and parallel to x+3y=5	$(- 2, 5)$ and parallel to $x + 3 y = 5$
190990	Solve for x	(1/36)^(-2x+15)=(1/216)^(-4x+8)	${(\frac{1}{36})}^{- 2 x + 15} = {(\frac{1}{216})}^{- 4 x + 8}$
190991	Simplify	(x+y)+(x-y)	$(x + y) + (x - y)$
190992	Graph	x+y>=0 2x-y>=2	$x + y \geq 0$ $2 x - y \geq 2$
190993	Simplify	(x^2)/(3x)-(2x+1)/(3x)	$\frac{x^{2}}{3 x} - \frac{2 x + 1}{3 x}$
190994	Solve for x	x^2=8x-35	$x^{2} = 8 x - 35$
190995	Solve the Inequality for x	3x^2+x<2	$3 x^{2} + x < 2$
190996	Combine Like Terms	(4x^2+8)+(-8x^2-5x+2)	$(4 x^{2} + 8) + (- 8 x^{2} - 5 x + 2)$
190997	Solve the Inequality for x	-7(3x-7)+21x>=50	$- 7 (3 x - 7) + 21 x \geq 50$
190998	Find the Exact Value	( square root of 3)/2+1/2	$\frac{\sqrt{3}}{2} + \frac{1}{2}$
190999	Simplify	((2^3x^3y^2)^3)/((2^4x^2y^4)^2)	$\frac{{(2^{3} x^{3} y^{2})}^{3}}{{(2^{4} x^{2} y^{4})}^{2}}$
191000	Solve for x	4\|x-3\|+1=1	$4 \| x - 3 \| + 1 = 1$