Mathway | Popular Problems

Popular Problems

Rank	Topic	Problem	Formatted Problem
215701	Solve the Inequality for x	9-x/4<0	$9 - \frac{x}{4} < 0$
215702	Find the Holes in the Graph	f(x)=(x^3+3x^2)/(x^2+2x-3)	$f (x) = \frac{x^{3} + 3 x^{2}}{x^{2} + 2 x - 3}$
215703	Solve for v	v^2=0	$v^{2} = 0$
215704	Evaluate	5^(x+1)=106	$5^{x + 1} = 106$
215705	Solve for x	3/4(x+5 1/2)=5/8	$\frac{3}{4} (x + 5 \frac{1}{2}) = \frac{5}{8}$
215706	Simplify	(6m^2n^2-11m^2n^4)+(-9m^2n^2-m^3n^3-10m^2)+(-10m^2n^4-5m^2n^2)	$(6 m^{2} n^{2} - 11 m^{2} n^{4}) + (- 9 m^{2} n^{2} - m^{3} n^{3} - 10 m^{2}) + (- 10 m^{2} n^{4} - 5 m^{2} n^{2})$
215707	Graph	y = cube root of (3x)/(4pi)	$y = \sqrt[3]{\frac{3 x}{4 π}}$
215708	Graph	h(x)=5+3x^2-x^4	$h (x) = 5 + 3 x^{2} - x^{4}$
215709	Solve the Inequality for d	\|d+1\|<=6	$\| d + 1 \| \leq 6$
215710	Factor	x(b^2-a)+6(b^2-a)	$x (b^{2} - a) + 6 (b^{2} - a)$
215711	Simplify	(x+(-17))(x+(-17))	$(x + (- 17)) (x + (- 17))$
215712	Write in Standard Form	x^3-3x^2y+3xy^2-y^3	$x^{3} - 3 x^{2} y + 3 x y^{2} - y^{3}$
215713	Simplify	fifth root of c/(8ab^4)	$\sqrt[5]{\frac{c}{8 a b^{4}}}$
215714	Simplify	3 square root of 5a*8 square root of 35a^2	$3 \sqrt{5 a \cdot 8 \sqrt{35 a^{2}}}$
215715	Solve the System of Inequalities	4x+4y<16 x>y+16	$4 x + 4 y < 16$ $x > y + 16$
215716	Simplify	( fourth root of x^4y^6* square root of x^6)/y	$\frac{\sqrt[4]{x^{4} y^{6}} \cdot \sqrt{x^{6}}}{y}$
215717	Solve for x	16x/2=64	$16 \frac{x}{2} = 64$
215718	Multiply	3xy^2*(2xy+3y^2-cx^3)	$3 x y^{2} \cdot (2 x y + 3 y^{2} - c x^{3})$
215719	Graph	y+4=-4/3x	$y + 4 = - \frac{4}{3} x$
215720	Simplify	x^(2y-5)*x^(y+8)	$x^{2 y - 5} \cdot x^{y + 8}$
215721	Write in Standard Form	(x^2+2x-2)(2x^2+x+1)	$(x^{2} + 2 x - 2) (2 x^{2} + x + 1)$
215722	Divide Using Synthetic Division	Use synthetic division to find the result when 2x^4+5x^3+x^2+2x+8 is divided by x+2	Use synthetic division to find the result when $2 x^{4} + 5 x^{3} + x^{2} + 2 x + 8$ is divided by $x + 2$
215723	Evaluate	(2x)/3-(5x)/9-x/6-(5x)/12=13/2	$\frac{2 x}{3} - \frac{5 x}{9} - \frac{x}{6} - \frac{5 x}{12} = \frac{13}{2}$
215724	Solve the System of Equations	-2a+3b=14 a-4b=3	$- 2 a + 3 b = 14$ $a - 4 b = 3$
215725	Graph	x^2-y^2<=8 x^2+y^2>=120	$x^{2} - y^{2} \leq 8$ $x^{2} + y^{2} \geq 120$
215726	Multiply	3a^3(5a^3+2a^2-3)	$3 a^{3} (5 a^{3} + 2 a^{2} - 3)$
215727	Convert to a Percentage	what percent of 50 is 20	what percent of $50$ is $20$
215728	Evaluate	square root of x-2-4=0	$\sqrt{x - 2} - 4 = 0$
215729	Simplify	(3x^2+2+4x)-(x+x^2+5)	$(3 x^{2} + 2 + 4 x) - (x + x^{2} + 5)$
215730	Evaluate	3^3=3^(4x+2)	$3^{3} = 3^{4 x + 2}$
215731	Solve for x	(x^4)/9-5=4	$\frac{x^{4}}{9} - 5 = 4$
215732	Solve for x	2 cube root of 1-3x+4=6	$2 \sqrt[3]{1 - 3 x} + 4 = 6$
215733	Find the Degree	xy^3-6xy	$x y^{3} - 6 x y$
215734	Factor	Factor: x^3+1	Factor: $x^{3} + 1$
215735	Simplify	((x^2+3x-28)/(x^2+4x+4))÷((x^2-49)/(x^2-5x-14))	$\frac{x^{2} + 3 x - 28}{x^{2} + 4 x + 4} \div \frac{x^{2} - 49}{x^{2} - 5 x - 14}$
215736	Simplify	8 square root of 16-2 cube root of 8+ fourth root of 16	$8 \sqrt{16} - 2 \sqrt[3]{8} + \sqrt[4]{16}$
215737	Solve for x	square root of x+3+8=7	$\sqrt{x + 3 + 8} = 7$
215738	Simplify	ab(a^2+b^2)	$a b (a^{2} + b^{2})$
215739	Simplify the Radical Expression	square root of 20/45	$\sqrt{\frac{20}{45}}$
215740	Describe the Transformation	g(x)=-5x^3	$g (x) = - 5 x^{3}$
215741	Solve for c	a=c/(2b)	$a = \frac{c}{2 b}$
215742	Write in Standard Form	y=(x-3)(x+3)	$y = (x - 3) (x + 3)$
215743	Simplify	(11i)/( square root of 2i)	$\frac{11 i}{\sqrt{2} i}$
215744	Solve for a	-2(6a-1)=-5/3(3a+15)+6	$- 2 (6 a - 1) = - \frac{5}{3} (3 a + 15) + 6$
215745	Simplify	15 root of x^10b^15	$\sqrt[15]{x^{10}} b^{15}$
215746	Simplify	3 square root of 5( square root of 5+3)	$3 \sqrt{5} (\sqrt{5} + 3)$
215747	Solve for x	1/(4x)=3/(2x-6)	$\frac{1}{4 x} = \frac{3}{2 x - 6}$
215748	Solve the Inequality for x	-2x+3+x>-x-1	$- 2 x + 3 + x > - x - 1$
215749	Simplify	4^05^-26^-1*100^01/(2^-1) ?	$4^{0} \cdot 5^{- 2} \cdot 6^{- 1} \cdot 100^{0} \frac{1}{2^{- 1}}$ ?
215750	Simplify	cos(x)sec(x)-(cos(x))/(sec(x))	$\cos (x) \sec (x) - \frac{\cos (x)}{\sec (x)}$
215751	Convert to Interval Notation	-7\|x-6\|>-56	$- 7 \| x - 6 \| > - 56$
215752	Find the LCD	3/(4x) , 7/(2x) , 11/(12x)	$\frac{3}{4 x}$ , $\frac{7}{2 x}$ , $\frac{11}{12 x}$
215753	Simplify	9m^7n3m^2n^2-4m^45m^5n^3	$9 m^{7} n \cdot 3 m^{2} n^{2} - 4 m^{4} \cdot 5 m^{5} n^{3}$
215754	Solve for x	3/(2x)-1/(2(x+8))=1	$\frac{3}{2 x} - \frac{1}{2 (x + 8)} = 1$
215755	Simplify	(7x^4+x^3)-(6x^4+4x^3+3)	$(7 x^{4} + x^{3}) - (6 x^{4} + 4 x^{3} + 3)$
215756	Find Where Undefined/Discontinuous	f(x)=(5x+1)/(x^2+4)	$f (x) = \frac{5 x + 1}{x^{2} + 4}$
215757	Identify the Zeros and Their Multiplicities	h(x)=-2x(x-1)(3-x)^2	$h (x) = - 2 x (x - 1) {(3 - x)}^{2}$
215758	Divide Using Long Polynomial Division	(8x^4-64x^3+3x-28)÷(x-8)	$(8 x^{4} - 64 x^{3} + 3 x - 28) \div (x - 8)$
215759	Evaluate	10 = square root of 14r+2	$10 = \sqrt{14 r + 2}$
215760	Graph	y=(2x^2-3x-2)/(x^2-2)	$y = \frac{2 x^{2} - 3 x - 2}{x^{2} - 2}$
215761	Evaluate	1/( square root of 3/2)	$\frac{1}{\sqrt{\frac{3}{2}}}$
215762	Solve for x	-5/2(6x+24)=x-12	$- \frac{5}{2} (6 x + 24) = x - 12$
215763	Solve the Inequality for x	2x=6	$2 x = 6$
215764	Simplify	(-2)^3(3)^0	${(- 2)}^{3} {(3)}^{0}$
215765	Solve for n	625^(3n)=25	$625^{3 n} = 25$
215766	Convert to Rectangular	(4+4 square root of 3i)^6	${(4 + 4 \sqrt{3 i})}^{6}$
215767	Solve for x	log base y of x+ log base y of 3 = log base y of 27-1	$\log_{y} (x) + \log_{y} (3) = \log_{y} (27) - 1$
215768	Solve for c	(2c)/15=8.8	$\frac{2 c}{15} = 8.8$
215769	Divide	(-1/4)÷(-1/2)	$\frac{- 1}{4} \div \frac{- 1}{2}$
215770	Simplify	(1+i)+(1-i)	$(1 + i) + (1 - i)$
215771	Write in Standard Form	(x^2+3x+2)(x^2-3x-4)	$(x^{2} + 3 x + 2) (x^{2} - 3 x - 4)$
215772	Solve for x	2 cube root of 3x+2 = cube root of 4x-9	$2 \sqrt[3]{3 x + 2} = \sqrt[3]{4 x - 9}$
215773	Solve the Inequality for m	3\|m+7\|+9<30	$3 \| m + 7 \| + 9 < 30$
215774	Simplify	((2^-1)/(2^0))^3	${(\frac{2^{- 1}}{2^{0}})}^{3}$
215775	Solve the System of Equations	-2x+y=15 and 3x+2y=-33	$- 2 x + y = 15$ and $3 x + 2 y = - 33$
215776	Solve for x	square root of 100=2x	$\sqrt{100} = 2 x$
215777	Simplify	11x+2x^2+-7x-3x^2+4	$11 x + 2 x^{2} + - 7 x - 3 x^{2} + 4$
215778	Simplify	Simplify cube root of -216x^3y^12	Simplify $\sqrt[3]{- 216 x^{3} y^{12}}$
215779	Solve for a	3/5=(a+5)/25	$\frac{3}{5} = \frac{a + 5}{25}$
215780	Simplify	1/3-5/6	$\frac{1}{3} - \frac{5}{6}$
215781	Find the x and y Intercepts	(x^2+x)/(4x+4)	$\frac{x^{2} + x}{4 x + 4}$
215782	Solve for f	fx+4=-11+2(x+3)	$f x + 4 = - 11 + 2 (x + 3)$
215783	Simplify	(6m)(7m^2n)(n^4)	$(6 m) (7 m^{2} n) (n^{4})$
215784	Simplify	(2x^2y^-3z^-1)^-2	${(2 x^{2} y^{- 3} z^{- 1})}^{- 2}$
215785	Solve for x	x+7+7/2=(3x-7)/10	$x + 7 + \frac{7}{2} = \frac{3 x - 7}{10}$
215786	Solve for p	5+ square root of p+10=6	$5 + \sqrt{p + 10} = 6$
215787	Divide Using Synthetic Division	(42x^2-33)÷(7x+7)	$(42 x^{2} - 33) \div (7 x + 7)$
215788	Solve the Inequality for y	x-3y<=-6	$x - 3 y \leq - 6$
215789	Simplify	(7x+4)/(8y)-(3x-1)/(6y)	$\frac{7 x + 4}{8 y} - \frac{3 x - 1}{6 y}$
215790	Simplify	(x^2-4x-21)/(x^2-6x+8)*(x-4)/(x^2-2x-35)	$\frac{x^{2} - 4 x - 21}{x^{2} - 6 x + 8} \cdot \frac{x - 4}{x^{2} - 2 x - 35}$
215791	Evaluate	3 log of 2x=4	$3 \log (2 x) = 4$
215792	Solve the Inequality for x	2x^2+19x-28>9x	$2 x^{2} + 19 x - 28 > 9 x$
215793	Divide	(45v^4+18v^3+4v^2)÷9v^3	$(45 v^{4} + 18 v^{3} + 4 v^{2}) \div 9 v^{3}$
215794	Find the Domain of the Composition f(g(x))	f(x)=4x^2 , g(x)=(2x)/4	$f (x) = 4 x^{2}$ , $g (x) = \frac{2 x}{4}$
215795	Solve for h	-8(-h-3)=-16h	$- 8 (- h - 3) = - 16 h$
215796	Find All Complex Solutions	tan(x)sin(x)^2=tan(x)	$\tan (x) \sin^{2} (x) = \tan (x)$
215797	Solve the System of Equations	2x^2+8y^2=16 x^2+y^2=5	$2 x^{2} + 8 y^{2} = 16$ $x^{2} + y^{2} = 5$
215798	Solve for x	2^(-x+1)=-3/4x+3	$2^{- x + 1} = - \frac{3}{4} x + 3$
215799	Solve for x	-x+6 = square root of x+4+3	$- x + 6 = \sqrt{x + 4} + 3$
215800	Find the Product	5r^2s^2(-2r^2+3rs-4s^2)	$5 r^{2} s^{2} (- 2 r^{2} + 3 r s - 4 s^{2})$