Mathway | Popular Problems

Popular Problems

Rank	Topic	Problem	Formatted Problem
190901	Simplify	4/52*3/51	$\frac{4}{52} \cdot \frac{3}{51}$
190902	Find the Exact Value	-6+(3-(4-2(4-7)))	$- 6 + (3 - (4 - 2 (4 - 7)))$
190903	Write in Standard Form	x(x+3)=2	$x (x + 3) = 2$
190904	Solve for a	( square root of x)/((x^(1/2))^5)=x^a	$\frac{\sqrt{x}}{{(x^{\frac{1}{2}})}^{5}} = x^{a}$
190905	Simplify	3/(x+7)*4/x	$\frac{3}{x + 7} \cdot \frac{4}{x}$
190906	Solve for x	(3x+7)/(x-6)+2/(x-1)=(2x)/(x-1)	$\frac{3 x + 7}{x - 6} + \frac{2}{x - 1} = \frac{2 x}{x - 1}$
190907	Solve for p	square root of -5p = square root of 24-p	$\sqrt{- 5 p} = \sqrt{24 - p}$
190908	Find f(g(x))	f(x) = square root of x and g(x)=x-2	$f (x) = \sqrt{x}$ and $g (x) = x - 2$
190909	Simplify	2p-(6.7q-1)	$2 p - (6.7 q - 1)$
190910	Find the x and y Intercepts	(-2x^2-4x)/(4x+8)	$\frac{- 2 x^{2} - 4 x}{4 x + 8}$
190911	Write Using Positive Exponents	(9^-3)(9^12)	$(9^{- 3}) (9^{12})$
190912	Solve for q	11(q+3)-5=19	$11 (q + 3) - 5 = 19$
190913	Solve for z	4(z-5)+2=4z-18	$4 (z - 5) + 2 = 4 z - 18$
190914	Graph	x^2+y^2=z	$x^{2} + y^{2} = z$
190915	Graph	x^2+20x+y^2-20y+200=0	$x^{2} + 20 x + y^{2} - 20 y + 200 = 0$
190916	Solve for x	5x-(x-11)=8	$5 x - (x - 11) = 8$
190917	Simplify	-3/7+5/2	$- \frac{3}{7} + \frac{5}{2}$
190918	Rationalize the Denominator	( cube root of 2)/( fourth root of 5)	$\frac{\sqrt[3]{2}}{\sqrt[4]{5}}$
190919	Find the End Behavior	f(x)=-3072+2432x+128x^4-576x^3+256x^2-8x^5	$f (x) = - 3072 + 2432 x + 128 x^{4} - 576 x^{3} + 256 x^{2} - 8 x^{5}$
190920	Determine if Perpendicular	y=5/3x+7 6x-10y=10	$y = \frac{5}{3} x + 7$ $6 x - 10 y = 10$
190921	Solve for x	2-3x=0	$2 - 3 x = 0$
190922	Solve the Inequality for x	(x+1)/3-(2x-4)/6<=-x/2	$\frac{x + 1}{3} - \frac{2 x - 4}{6} \leq - \frac{x}{2}$
190923	Simplify	square root of 11x square root of 2x	$\sqrt{11 x} \sqrt{2 x}$
190924	Find the Inverse	f(x)=(x^(1/3)+10)/3	$f (x) = \frac{x^{\frac{1}{3}} + 10}{3}$
190925	Evaluate	(7x^2-2)-(2x^2-5x+3)	$(7 x^{2} - 2) - (2 x^{2} - 5 x + 3)$
190926	Solve for k	2x^2-5x-k=0	$2 x^{2} - 5 x - k = 0$
190927	Simplify	(7p^-3)(-6p^5q^-2)	$(7 p^{- 3}) (- 6 p^{5} q^{- 2})$
190928	Evaluate	3/(2(1)^(1/2))	$\frac{3}{2 {(1)}^{\frac{1}{2}}}$
190929	Evaluate the Function	f(x)=-x^2-4 for x=-3	$f (x) = - x^{2} - 4$ for $x = - 3$
190930	Solve for x	3/4x+1/4=2	$\frac{3}{4} x + \frac{1}{4} = 2$
190931	Solve for x	3/(x-4)=2/(x-3)+8/(x^2-7x+12)	$\frac{3}{x - 4} = \frac{2}{x - 3} + \frac{8}{x^{2} - 7 x + 12}$
190932	Find the x and y Intercepts	y=-2\|x-4\|+6	$y = - 2 \| x - 4 \| + 6$
190933	Find the Inverse	f(x)=(x^5+3)^(1/3)	$f (x) = {(x^{5} + 3)}^{\frac{1}{3}}$
190934	Solve the Absolute Value Inequality for x	-2\|-2x-4\|=-12	$- 2 \| - 2 x - 4 \| = - 12$
190935	Solve for x	(4x-y)/2=5	$\frac{4 x - y}{2} = 5$
190936	Graph	f(x)=x^5-x^3+x^2	$f (x) = x^{5} - x^{3} + x^{2}$
190937	Simplify	33x^2y4zxyz	$3 \cdot 3 x^{2} \cdot y \cdot 4 z \cdot x \cdot y \cdot z$
190938	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 $\frac{8 x - 2}{2} - 1 \geq 6$
190939	Find the Exact Value	cos(x)^2-sin(x)^2	$\cos^{2} (x) - \sin^{2} (x)$
190940	Simplify	-cos(x)^2-sin(x)^2	$- \cos^{2} (x) - \sin^{2} (x)$
190941	Graph	find the value of x so that f(x)=7	find the value of $x$ so that $f (x) = 7$
190942	Evaluate	3(2/3)-2	$3 (\frac{2}{3}) - 2$
190943	Solve for p	4(1-p)=-4p+4	$4 (1 - p) = - 4 p + 4$
190944	Solve the System of Equations	3x-4y=6 x=4/3y+2	$3 x - 4 y = 6$ $x = \frac{4}{3} y + 2$
190945	Find the Excluded Values	(x^2-x-6)/(4x^3)*(2x^2+2x)/(x^2+5x+6)	$\frac{x^{2} - x - 6}{4 x^{3}} \cdot \frac{2 x^{2} + 2 x}{x^{2} + 5 x + 6}$
190946	Graph	g(x)=1/2f(x+1)	$g (x) = \frac{1}{2} f (x + 1)$
190947	Solve for x	19+(x+3)/2-14=1	$19 + \frac{x + 3}{2} - 14 = 1$
190948	Convert to Interval Notation	x<-1 or x>9	$x < - 1$ or $x > 9$
190949	Simplify	2/(x^2)-7/(4x^2+12x)	$\frac{2}{x^{2}} - \frac{7}{4 x^{2} + 12 x}$
190950	Find the Domain and Range	y=-1/3cos(3x)	$y = - \frac{1}{3} \cos (3 x)$
190951	Write in Slope-Intercept Form	-3x+5y=2x+3y	$- 3 x + 5 y = 2 x + 3 y$
190952	Solve the Inequality for x	log base 0.5 of 4x+1< log base 0.5 of 1-4x	$\log_{0.5} (4 x + 1) < \log_{0.5} (1 - 4 x)$
190953	Graph	f(x)=-1/2(x-5)^2-3	$f (x) = - \frac{1}{2} {(x - 5)}^{2} - 3$
190954	Simplify	(4-5x)(1-2x)(3x+2)	$(4 - 5 x) (1 - 2 x) (3 x + 2)$
190955	Evaluate	1/4-2 cube root of -1/216	$\frac{1}{4} - 2 \sqrt[3]{- \frac{1}{216}}$
190956	Write in Standard Form	x^2+3y^2-4x+24y=-52	$x^{2} + 3 y^{2} - 4 x + 24 y = - 52$
190957	Multiply	(-2/3)*3/3	$(- \frac{2}{3}) \cdot \frac{3}{3}$
190958	Determine if True	tan(x)+cot(x)=sec(x)csc(x)	$\tan (x) + \cot (x) = \sec (x) \csc (x)$
190959	Find the Holes in the Graph	f(x)=(x^3-2x^2-3x)/(-14x^2+16)	$f (x) = \frac{x^{3} - 2 x^{2} - 3 x}{- 14 x^{2} + 16}$
190960	Graph	y=(2x^2)/(x^2-1)	$y = \frac{2 x^{2}}{x^{2} - 1}$
190961	Simplify	(4-3i)/(-4i)	$\frac{4 - 3 i}{- 4 i}$
190962	Solve the Inequality for g	g-6>-1	$g - 6 > - 1$
190963	Find the Holes in the Graph	f(x)=(x^2-3x)/(x-5)	$f (x) = \frac{x^{2} - 3 x}{x - 5}$
190964	Solve for x	log base x of 2x^2-8x+12=2	$\log_{x} (2 x^{2} - 8 x + 12) = 2$
190965	Solve for x	x/(x+3)=2/(x+1)-(2x)/(x^2+4x+3)	$\frac{x}{x + 3} = \frac{2}{x + 1} - \frac{2 x}{x^{2} + 4 x + 3}$
190966	Solve for θ	csc(theta)=- square root of 2	$\csc (θ) = - \sqrt{2}$
190967	Graph	y=1/2cot(1/2x)	$y = \frac{1}{2} \cot (\frac{1}{2} x)$
190968	Find the x and y Intercepts	x^3+x^2-2x	$x^{3} + x^{2} - 2 x$
190969	Write in Standard Form	2/3(x-4)(x+5)=1	$\frac{2}{3} (x - 4) (x + 5) = 1$
190970	Graph	y=0 , 5x	$y = 0$ , $5 x$
190971	Simplify	(x^2+3x)+(-2x^2+9x+5)	$(x^{2} + 3 x) + (- 2 x^{2} + 9 x + 5)$
190972	Find f(g(x))	f(x)=x/2 g(x)=2x	$f (x) = \frac{x}{2}$ $g (x) = 2 x$
190973	Solve Using the Square Root Property	x^2=-1	$x^{2} = - 1$
190974	Find the Parallel Line	(-2,5) and parallel to x+3y=5	$(- 2, 5)$ and parallel to $x + 3 y = 5$
190975	Solve for x	(1/36)^(-2x+15)=(1/216)^(-4x+8)	${(\frac{1}{36})}^{- 2 x + 15} = {(\frac{1}{216})}^{- 4 x + 8}$
190976	Simplify	(x+y)+(x-y)	$(x + y) + (x - y)$
190977	Graph	x+y>=0 2x-y>=2	$x + y \geq 0$ $2 x - y \geq 2$
190978	Simplify	(x^2)/(3x)-(2x+1)/(3x)	$\frac{x^{2}}{3 x} - \frac{2 x + 1}{3 x}$
190979	Solve for x	x^2=8x-35	$x^{2} = 8 x - 35$
190980	Solve the Inequality for x	3x^2+x<2	$3 x^{2} + x < 2$
190981	Combine Like Terms	(4x^2+8)+(-8x^2-5x+2)	$(4 x^{2} + 8) + (- 8 x^{2} - 5 x + 2)$
190982	Solve the Inequality for x	-7(3x-7)+21x>=50	$- 7 (3 x - 7) + 21 x \geq 50$
190983	Find the Exact Value	( square root of 3)/2+1/2	$\frac{\sqrt{3}}{2} + \frac{1}{2}$
190984	Simplify	((2^3x^3y^2)^3)/((2^4x^2y^4)^2)	$\frac{{(2^{3} x^{3} y^{2})}^{3}}{{(2^{4} x^{2} y^{4})}^{2}}$
190985	Solve for x	4\|x-3\|+1=1	$4 \| x - 3 \| + 1 = 1$
190986	Graph	y>-1/2x+2 y<=3x-1	$y > - \frac{1}{2} x + 2$ $y \leq 3 x - 1$
190987	Solve for x	(2x+4)/3-(x+5)/6=x+7	$\frac{2 x + 4}{3} - \frac{x + 5}{6} = x + 7$
190988	Solve for c	x=(-b+ square root of b^2-4ac)/(2a)	$x = \frac{- b + \sqrt{b^{2} - 4 a c}}{2 a}$
190989	Solve for x	x+7-8x/3=17/6-5x/2	$x + 7 - 8 \frac{x}{3} = \frac{17}{6} - 5 \frac{x}{2}$
190990	Graph	f(x)=-1/8(x+4)(x+2)(x-2)	$f (x) = - \frac{1}{8} (x + 4) (x + 2) (x - 2)$
190991	Solve for x	(x+3)/(1-x)=(x+1)/(x+2)	$\frac{x + 3}{1 - x} = \frac{x + 1}{x + 2}$
190992	Solve for x	2(x-1)+5=6-(2x+2)	$2 (x - 1) + 5 = 6 - (2 x + 2)$
190993	Find the Sum and Product of the Roots of the Quadratic Equation	4x^2-8x=-1	$4 x^{2} - 8 x = - 1$
190994	Find the Roots (Zeros)	f(x)=(4x-13) natural log of (2x-7)(x-3)	$f (x) = (4 x - 13) \ln ((2 x - 7) (x - 3))$
190995	Solve for r	-4r+5=5-4r	$- 4 r + 5 = 5 - 4 r$
190996	Solve the Inequality for y	3(4y+6)<=-2(3-6y)	$3 (4 y + 6) \leq - 2 (3 - 6 y)$
190997	Subtract	Subtract 10x^2-10x+2 from -8x^2+7x-7	Subtract $10 x^{2} - 10 x + 2$ from $- 8 x^{2} + 7 x - 7$
190998	Graph	Graph y=-4/3x+8	Graph $y = - \frac{4}{3} x + 8$
190999	Graph	r(x)=(x^2+6x+8)/(2x+8)	$r (x) = \frac{x^{2} + 6 x + 8}{2 x + 8}$
191000	Evaluate	-pi/2*2	$- \frac{π}{2} \cdot 2$