Mathway | Popular Problems

Popular Problems

Rank	Topic	Problem	Formatted Problem
176701	Factor	125a^3+150a^2b+60ab^2+8b^3	$125 a^{3} + 150 a^{2} b + 60 a b^{2} + 8 b^{3}$
176702	Solve the Inequality for x	2(x-4)/x<-4	$2 \frac{x - 4}{x} < - 4$
176703	Simplify	5/( square root of 90)	$\frac{5}{\sqrt{90}}$
176704	Solve for k	5k-9-2k+3=3k-6	$5 k - 9 - 2 k + 3 = 3 k - 6$
176705	Subtract	1/4-3/2	$\frac{1}{4} - \frac{3}{2}$
176706	Simplify	cube root of (125x^20)/8	$\sqrt[3]{\frac{125 x^{20}}{8}}$
176707	Graph	y=2tan(2)(theta+pi/4)-5	$y = 2 \tan (2) (θ + \frac{π}{4}) - 5$
176708	Graph	1/(1-x)	$\frac{1}{1 - x}$
176709	Solve for x	(8+x)/2-(x+3)/3=4	$\frac{8 + x}{2} - \frac{x + 3}{3} = 4$
176710	Graph	y+3x^2=6x-1	$y + 3 x^{2} = 6 x - 1$
176711	Graph	f(x)=-1/2 square root of x	$f (x) = - \frac{1}{2} \sqrt{x}$
176712	Solve for z	\|18z-9\|=11	$\| 18 z - 9 \| = 11$
176713	Solve for V	V-5/6=-7/8	$V - \frac{5}{6} = - \frac{7}{8}$
176714	Find the Exact Value	f^-1(-2)	$f^{- 1} (- 2)$
176715	Graph	y>=x+6 y>=-2x-3	$y \geq x + 6$ $y \geq - 2 x - 3$
176716	Solve for x	240=7930(0.93)^(4x)-340	$240 = 7930 {(0.93)}^{4 x} - 340$
176717	Graph	(-4,9)	$(- 4, 9)$
176718	Graph	y>-2 x+y<=4	$y > - 2$ $x + y \leq 4$
176719	Find All Complex Solutions	x^(3/2)=8	$x^{\frac{3}{2}} = 8$
176720	Subtract	-1/3-2/3	$- \frac{1}{3} - \frac{2}{3}$
176721	Find the Domain and Range	x^(2/3)	$x^{\frac{2}{3}}$
176722	Find the LCM	8 and 6	$8$ and $6$
176723	Write in Slope-Intercept Form	y+6=-3/4(x+8)	$y + 6 = - \frac{3}{4} (x + 8)$
176724	Simplify	4a(5a^2-4)+9a	$4 a (5 a^{2} - 4) + 9 a$
176725	Solve the Inequality for x	x^3>=2x^2	$x^{3} \geq 2 x^{2}$
176726	Find the Exact Value	sin(-75 degrees )	$\sin (- 75 °)$
176727	Solve the Inequality for x	5x<16+x	$5 x < 16 + x$
176728	Simplify	- square root of 100+ square root of -9+ square root of 9- square root of -16	$- \sqrt{100} + \sqrt{- 9} + \sqrt{9} - \sqrt{- 16}$
176729	Write in Standard Form	2x^2-9x=5-4x	$2 x^{2} - 9 x = 5 - 4 x$
176730	Solve the System of Equations	y=-4x-5 y=-4x+1	$y = - 4 x - 5$ $y = - 4 x + 1$
176731	Solve for r	7/8r=1/4(3r-2)-7+3/4r	$\frac{7}{8} r = \frac{1}{4} (3 r - 2) - 7 + \frac{3}{4} r$
176732	Solve for n	-4-2/3(n+9)-2=5/2(4-n)	$- 4 - \frac{2}{3} (n + 9) - 2 = \frac{5}{2} (4 - n)$
176733	Multiply	square root of 2*(- square root of 2)	$\sqrt{2} \cdot (- \sqrt{2})$
176734	Solve the Inequality for x	2x-7>3	$2 x - 7 > 3$
176735	Solve for θ	cot(theta)=( square root of 3)/3	$\cot (θ) = \frac{\sqrt{3}}{3}$
176736	Simplify	(aaaaaaa)/(aaaaa*a)	$\frac{a \cdot a \cdot a \cdot a \cdot a \cdot a \cdot a}{a \cdot a \cdot a \cdot a \cdot a \cdot a}$
176737	Simplify	((8^2)/(4^4))^3	${(\frac{8^{2}}{4^{4}})}^{3}$
176738	Graph	2x^2+y=8x-6	$2 x^{2} + y = 8 x - 6$
176739	Find f(g(x))	f(x)=3x+1 , g(x) = square root of x	$f (x) = 3 x + 1$ , $g (x) = \sqrt{x}$
176740	Solve for x	47=10(3)^(x+5)	$47 = 10 {(3)}^{x + 5}$
176741	Factor	a^3-a^2c-ba^2+abc	$a^{3} - a^{2} c - b a^{2} + a b c$
176742	Solve the System of Equations	y=x^2+2x-1 y-3x=5	$y = x^{2} + 2 x - 1$ $y - 3 x = 5$
176743	Graph Using a Table of Values	f(x) = square root of x+2	$f (x) = \sqrt{x} + 2$
176744	Multiply	-1*3/2	$- 1 \cdot \frac{3}{2}$
176745	Solve the Inequality for v	v+8<3	$v + 8 < 3$
176746	Solve the System of Inequalities	a/-2<-1 or -4a+3>=23	$\frac{a}{- 2} < - 1$ or $- 4 a + 3 \geq 23$
176747	Simplify	(2-x)/( square root of x+2-2)	$\frac{2 - x}{\sqrt{x + 2} - 2}$
176748	Solve for x	2/5(x-2)=-3	$\frac{2}{5} (x - 2) = - 3$
176749	Find g(f(x))	f(x)=(x-1)/2 g(x)=2x+1	$f (x) = \frac{x - 1}{2}$ $g (x) = 2 x + 1$
176750	Simplify	5x^2y^2 square root of 63x^3y^7	$5 x^{2} y^{2} \sqrt{63 x^{3} y^{7}}$
176751	Solve for a	(x^(1/2))/( square root of x)=x^a	$\frac{x^{\frac{1}{2}}}{\sqrt{x}} = x^{a}$
176752	Solve for g	3/16=(-5/4)+g	$\frac{3}{16} = (- \frac{5}{4}) + g$
176753	Solve for x	log base x+5 of 2x^2+1=2	$\log_{x + 5} (2 x^{2} + 1) = 2$
176754	Solve for r	(5r)/2-6=19	$\frac{5 r}{2} - 6 = 19$
176755	Solve for x	log base 2 of 9x- log base 2 of 4=1	$\log_{2} (9 x) - \log_{2} (4) = 1$
176756	Solve for d	-1/2d=3(2/3d-1)+2(1/6d+2)	$- \frac{1}{2} d = 3 (\frac{2}{3} d - 1) + 2 (\frac{1}{6} d + 2)$
176757	Solve for n	3/5n-2=1/2(1/5n-6)+3/10n	$\frac{3}{5} n - 2 = \frac{1}{2} (\frac{1}{5} n - 6) + \frac{3}{10} n$
176758	Convert to Interval Notation	x/4>=-1 and -4x-4<=-3	$\frac{x}{4} \geq - 1$ and $- 4 x - 4 \leq - 3$
176759	Graph Using a Table of Values	f(x) = cube root of x-2	$f (x) = \sqrt[3]{x} - 2$
176760	Graph	y<1/2x+3 y>-x-3	$y < \frac{1}{2} x + 3$ $y > - x - 3$
176761	Solve the Rational Equation for x	(x^2-4)/(x-2)=2	$\frac{x^{2} - 4}{x - 2} = 2$
176762	Solve for x	5/(x-1)=x/4	$\frac{5}{x - 1} = \frac{x}{4}$
176763	Convert to a Decimal	sin(15)deg	$\sin (15)$ degrees
176764	Factor	P(x)=4x^4-37x^2+9	$P (x) = 4 x^{4} - 37 x^{2} + 9$
176765	Solve the Inequality for x	x^2+7x>=0	$x^{2} + 7 x \geq 0$
176766	Solve for x	(x+5)/(x^2-2x)=1/(x^2-2x)+1	$\frac{x + 5}{x^{2} - 2 x} = \frac{1}{x^{2} - 2 x} + 1$
176767	Solve the Inequality for x	-1>(12+x)/4	$- 1 > \frac{12 + x}{4}$
176768	Solve for n	(8^3)^7=8^n	${(8^{3})}^{7} = 8^{n}$
176769	Solve for w	-2/5w=2-1/2(3-5w)-2w	$- \frac{2}{5} w = 2 - \frac{1}{2} (3 - 5 w) - 2 w$
176770	Write the Fraction in Simplest Form	1/2+1/2	$\frac{1}{2} + \frac{1}{2}$
176771	Solve for x	-5x+9=2x+9-7x	$- 5 x + 9 = 2 x + 9 - 7 x$
176772	Evaluate	pi/4+pi(1)	$\frac{π}{4} + π (1)$
176773	Graph Using a Table of Values	y=x^2-4x	$y = x^{2} - 4 x$
176774	Simplify	(-3(v^3)^-5)/(6s^-7)	$\frac{- 3 {(v^{3})}^{- 5}}{6 s^{- 7}}$
176775	Solve for θ	(cot(theta)-1)(2sin(theta)+1)=0	$(\cot (θ) - 1) (2 \sin (θ) + 1) = 0$
176776	Simplify the Radical Expression	square root of -13	$\sqrt{- 13}$
176777	Graph	y=1/2(x+4)(x-2)	$y = \frac{1}{2} (x + 4) (x - 2)$
176778	Solve for a	y=x((ab)/(a-b))	$y = x (\frac{a b}{a - b})$
176779	Solve the Rational Equation for x	1/x-x/6=2/3	$\frac{1}{x} - \frac{x}{6} = \frac{2}{3}$
176780	Find the Distance Between Two Points	(-8,-2) and (6,-1)	$(- 8, - 2)$ and $(6, - 1)$
176781	Evaluate	3n-(2+n)	$3 n - (2 + n)$
176782	Multiply	x+1*x+1	$x + 1 \cdot x + 1$
176783	Solve for x	5-2x = square root of 2x^2+x-1-x	$5 - 2 x = \sqrt{2 x^{2} + x - 1} - x$
176784	Solve for x	x=-x	$x = - x$
176785	Solve the Inequality for x	-2x<8	$- 2 x < 8$
176786	Solve the System of Inequalities	x+5<=1 or x-7>=-3	$x + 5 \leq 1$ or $x - 7 \geq - 3$
176787	Solve the System of Inequalities	5x-4>=12 ; OR , 12x+5<=-4	$5 x - 4 \geq 12$ ; OR , $12 x + 5 \leq - 4$
176788	Solve the Inequality for y	-6(4y-3)>=-102	$- 6 (4 y - 3) \geq - 102$
176789	Simplify	4^(1/3)*4^(1/5)	$4^{\frac{1}{3}} \cdot 4^{\frac{1}{5}}$
176790	Solve the Absolute Value Inequality for x	-2\|x+5\|<=-4	$- 2 \| x + 5 \| \leq - 4$
176791	Find the Holes in the Graph	f(x)=(x^2-4x-12)/(x+2)	$f (x) = \frac{x^{2} - 4 x - 12}{x + 2}$
176792	Simplify	square root of 20* square root of 3* square root of 18	$\sqrt{20} \cdot \sqrt{3} \cdot \sqrt{18}$
176793	Solve the Inequality for x	x^3>=7x^2	$x^{3} \geq 7 x^{2}$
176794	Graph	f(x)=x+5,x<-2; x^2+2x+3,x>=-2	$f (x) = {\begin{cases} x + 5, x < - 2 \\ x^{2} + 2 x + 3, x \geq - 2 \end{cases}$
176795	Solve for x	x+3/8=1/4	$x + \frac{3}{8} = \frac{1}{4}$
176796	Graph	3>=x	$3 \geq x$
176797	Simplify	- square root of 64+ square root of -36- square root of 4- square root of -1	$- \sqrt{64} + \sqrt{- 36} - \sqrt{4} - \sqrt{- 1}$
176798	Solve for y	2y-3=5+2(y-1)	$2 y - 3 = 5 + 2 (y - 1)$
176799	Simplify	(-4b^2+8b)+(-4b^3+5b^2-8b)	$(- 4 b^{2} + 8 b) + (- 4 b^{3} + 5 b^{2} - 8 b)$
176800	Graph	y=- cube root of 8x	$y = - \sqrt[3]{8 x}$