Mathway | Popular Problems

Popular Problems

Rank	Topic	Problem	Formatted Problem
217901	Find the Exact Value	(6^-6)/(6^-5)	$\frac{6^{- 6}}{6^{- 5}}$
217902	Solve for d	2^6*d^6=14^6	$2^{6} \cdot d^{6} = 14^{6}$
217903	Simplify	cube root of 16xy^2* cube root of 4x^4y	$\sqrt[3]{16 x y^{2}} \cdot \sqrt[3]{4 x^{4} y}$
217904	Simplify	sixth root of s^7 square root of s^5	$\sqrt[6]{s^{7}} \sqrt{s^{5}}$
217905	Convert to a Decimal	cos(180)deg	$\cos (180)$ degrees
217906	Factor	3cd^2+12cd+12c	$3 c d^{2} + 12 c d + 12 c$
217907	Solve the Inequality for x	5x<2(-3/4x+5/4)-x	$5 x < 2 (- \frac{3}{4} x + \frac{5}{4}) - x$
217908	Find the Exact Value	tan(-495 degrees )	$\tan (- 495 °)$
217909	Simplify	4x-7+6(2x-2y+8)	$4 x - 7 + 6 (2 x - 2 y + 8)$
217910	Evaluate	i^29i^17i^32	$i^{29} \cdot i^{17} \cdot i^{32}$
217911	Simplify	-2(4x^2+5x)+x(x^2+6x)	$- 2 (4 x^{2} + 5 x) + x (x^{2} + 6 x)$
217912	Expand the Logarithmic Expression	log of ( cube root of z^4y^4)/(x^2)	$\log (\frac{\sqrt[3]{z^{4} y^{4}}}{x^{2}})$
217913	Solve for x	4(x^2-x)=x^2-3	$4 (x^{2} - x) = x^{2} - 3$
217914	Write in Standard Form	(3x^2+11x+4)+(-5x+x^2-13)	$(3 x^{2} + 11 x + 4) + (- 5 x + x^{2} - 13)$
217915	Write in y=mx+b Form	3y+2=2y-5x	$3 y + 2 = 2 y - 5 x$
217916	Evaluate	cot(theta)=( square root of 3)/3	$\cot (θ) = \frac{\sqrt{3}}{3}$
217917	Simplify	fourth root of (x^10)/16	$\sqrt[4]{\frac{x^{10}}{16}}$
217918	Simplify the Radical Expression	(6 square root of 2)/2	$\frac{6 \sqrt{2}}{2}$
217919	Simplify	(4y^2+3y-8)+(y^3-2y^2+6)	$(4 y^{2} + 3 y - 8) + (y^{3} - 2 y^{2} + 6)$
217920	Simplify	pi*10^2	$π \cdot 10^{2}$
217921	Solve for x	25=-8+9(x+3)	$25 = - 8 + 9 (x + 3)$
217922	Find the Domain and Range	f(x)=tan(x/2-pi)	$f (x) = \tan (\frac{x}{2} - π)$
217923	Solve for θ	theta=(-3pi)/4	$θ = \frac{- 3 π}{4}$
217924	Solve by Factoring	x-10x^2=0	$x - 10 x^{2} = 0$
217925	Simplify	(4/(3x^5))÷(12/(5x^7))	$\frac{4}{3 x^{5}} \div \frac{12}{5 x^{7}}$
217926	Solve for y	(6y-1)/15-y/5=(2y)/3	$\frac{6 y - 1}{15} - \frac{y}{5} = \frac{2 y}{3}$
217927	Solve the Rational Equation for x	square root of 5x+1- square root of x=5	$\sqrt{5 x + 1} - \sqrt{x} = 5$
217928	Divide	(4^3)÷(2^3)	$4^{3} \div 2^{3}$
217929	Factor	c^2d+3cd^2	$c^{2} d + 3 c d^{2}$
217930	Solve for h	75=(0.025+1.25)/0.025 square root of 2(9.8)(h)	$75 = \frac{0.025 + 1.25}{0.025} \sqrt{2 (9.8) (h)}$
217931	Solve for x	y=(t+8)/x	$y = \frac{(t + 8)}{x}$
217932	Solve for z	(10+z)-4=18	$(10 + z) - 4 = 18$
217933	Solve the Inequality for r	r-9<=-25	$r - 9 \leq - 25$
217934	Solve the Inequality for x	3\|x-5\|>9	$3 \| x - 5 \| > 9$
217935	Solve the System of Equations	y=3x+2 and 3y=9x+6	$y = 3 x + 2$ and $3 y = 9 x + 6$
217936	Find the Complex Conjugate	square root of 3- square root of 2	$\sqrt{3 - \sqrt{2}}$
217937	Find the Exact Value	((5pi)/4)	$(\frac{5 π}{4})$
217938	Evaluate	sin(theta)<0	$\sin (θ) < 0$
217939	Simplify	(64-m^3)/((4-m)^3)	$\frac{(64 - m^{3})}{{(4 - m)}^{3}}$
217940	Solve the Rational Equation for x	4(3-x)^(4/3)-5=59	$4 {(3 - x)}^{\frac{4}{3}} - 5 = 59$
217941	Solve the System of Equations	x-2y+z=4 4x-y+2z=6 3x-6y+3z=12	$x - 2 y + z = 4$ $4 x - y + 2 z = 6$ $3 x - 6 y + 3 z = 12$
217942	Factor	3x^3(3x-2)^2+6xy(3x-2)	$3 x^{3} {(3 x - 2)}^{2} + 6 x y (3 x - 2)$
217943	Solve for x	x/(4z)=y-3	$\frac{x}{4 z} = y - 3$
217944	Simplify	((-3x)/5)^-2	${(\frac{- 3 x}{5})}^{- 2}$
217945	Find the Excluded Values	1/(x-3)-3/(x+6)=9/(x^2+3x-18)	$\frac{1}{x - 3} - \frac{3}{x + 6} = \frac{9}{x^{2} + 3 x - 18}$
217946	Simplify	(25^(1/6)*25^(1/3))/(5^(6/5))	$\frac{25^{\frac{1}{6}} \cdot 25^{\frac{1}{3}}}{5^{\frac{6}{5}}}$
217947	Describe the Transformation	f(x) = square root of x , g(x) = square root of x-1+4	$f (x) = \sqrt{x}$ , $g (x) = \sqrt{x - 1} + 4$
217948	Simplify	(-x^6y^3)(7xy)(-2x^-2y)	$(- x^{6} y^{3}) (7 x y) (- 2 x^{- 2} y)$
217949	Solve for x	square root of (5x)/4-8=2	$\sqrt{\frac{5 x}{4}} - 8 = 2$
217950	Simplify	pi/3-2pi	$\frac{π}{3} - 2 π$
217951	Write in Standard Form	4x(2x^2+y)	$4 x (2 x^{2} + y)$
217952	Convert to a Decimal	4/5 written as a decimal is	$\frac{4}{5}$ written as a decimal is
217953	Simplify	(csc(theta)+sec(theta))/(cos(theta)+tan(theta))	$\frac{\csc (θ) + \sec (θ)}{\cos (θ) + \tan (θ)}$
217954	Determine if Perpendicular	Are the lines defined by the equations y=2x+3 and y=-2x+4 perpendicular?	Are the lines defined by the equations $y = 2 x + 3$ and $y = - 2 x + 4$ perpendicular?
217955	Divide Using Long Polynomial Division	6x^3+17x^2+19x+28 divided by 3x+7	$6 x^{3} + 17 x^{2} + 19 x + 28$ divided by $3 x + 7$
217956	Simplify	(-3x+2i)(x-4i)	$(- 3 x + 2 i) (x - 4 i)$
217957	Solve for x	3x(x-3)(x+1)=0	$3 x (x - 3) (x + 1) = 0$
217958	Evaluate	1/2(1-0.84)	$\frac{1}{2} (1 - 0.84)$
217959	Evaluate	arccos(cos(pi/2)+1)	$\arccos (\cos (\frac{π}{2}) + 1)$
217960	Simplify	(x-2)/(12x^2)*4/(3x^2-6x)	$\frac{x - 2}{12 x^{2}} \cdot \frac{4}{3 x^{2} - 6 x}$
217961	Rationalize the Denominator	cube root of 7/8	$\sqrt[3]{\frac{7}{8}}$
217962	Simplify	(7i)/(8+i)	$\frac{7 i}{8 + i}$
217963	Evaluate	-( square root of 3)/2*(-2/1)	$- \frac{\sqrt{3}}{2} \cdot (- \frac{2}{1})$
217964	Solve the Inequality for x	square root of x-3<=7	$\sqrt{x - 3} \leq 7$
217965	Divide	(5^10)/(6^8)	$\frac{5^{10}}{6^{8}}$
217966	Simplify	(3a^2c)(-3bc^2)	$(3 a^{2} c) (- 3 b c^{2})$
217967	Simplify	sixth root of 10^5* sixth root of 10	$\sqrt[6]{10^{5}} \cdot \sqrt[6]{10}$
217968	Simplify	(x^2+4x^2+x^3+x)+(x^3+x+5x+5)	$(x^{2} + 4 x^{2} + x^{3} + x) + (x^{3} + x + 5 x + 5)$
217969	Factor	2x^5+1024x^2y^3	$2 x^{5} + 1024 x^{2} y^{3}$
217970	Solve for x	20=3-5(x+1)	$20 = 3 - 5 (x + 1)$
217971	Rationalize the Denominator	-10/(-4- square root of 17)	$\frac{- 10}{- 4 - \sqrt{17}}$
217972	Simplify	(-8)(1/8x)(-9)	$(- 8) (\frac{1}{8} x) (- 9)$
217973	Graph	-3y<8x-6	$- 3 y < 8 x - 6$
217974	Solve for m	log base 4 of m-3=1/2	$\log_{4} (m - 3) = \frac{1}{2}$
217975	Simplify	(-zy^-3)^2(4z^6y^9)^-2	${(- z y^{- 3})}^{2} {(4 z^{6} y^{9})}^{- 2}$
217976	Simplify	fourth root of cube root of x^12	$\sqrt[4]{\sqrt[3]{x^{12}}}$
217977	Solve for a	a^2b-c=d	$a^{2} b - c = d$
217978	Simplify	(9x^10z^2)(-x^5y^3)	$(9 x^{10} z^{2}) (- x^{5} y^{3})$
217979	Evaluate	(-1)^4-4(-1)^3+3	${(- 1)}^{4} - 4 {(- 1)}^{3} + 3$
217980	Multiply	x(2x+1)	$x (2 x + 1)$
217981	Evaluate	2 1/4=1 2/7÷x	$2 \frac{1}{4} = 1 \frac{2}{7} \div x$
217982	Evaluate	s(11-s)=24	$s (11 - s) = 24$
217983	Divide	(56y^3+49y^2)÷(-7y)	$(56 y^{3} + 49 y^{2}) \div (- 7 y)$
217984	Evaluate	i^19i^23i^11*i^21	$i^{19} \cdot i^{23} \cdot i^{11} \cdot i^{21}$
217985	Simplify	(8y^3-216)/(2y-6)	$\frac{8 y^{3} - 216}{2 y - 6}$
217986	Solve for b	6^(b-7)=36	$6^{b - 7} = 36$
217987	Simplify	(x^2-9)/(6x^2+x-1)(2x^2+5x+2)/(x^2+4x+3)(x^2-x-2)/(x^2-3x)	$\frac{x^{2} - 9}{6 x^{2} + x - 1} \cdot \frac{2 x^{2} + 5 x + 2}{x^{2} + 4 x + 3} \cdot \frac{x^{2} - x - 2}{x^{2} - 3 x}$
217988	Solve the Rational Equation for x	x-3 = square root of 30-2x	$x - 3 = \sqrt{30 - 2 x}$
217989	Solve for x	(1/3x-11)^(1/2)=5	${(\frac{1}{3} x - 11)}^{\frac{1}{2}} = 5$
217990	Multiply	-6(3i)(-2i)	$- 6 (3 i) (- 2 i)$
217991	Simplify	(21d^18e^5)/(7d^11e^3)	$\frac{21 d^{18} e^{5}}{7 d^{11} e^{3}}$
217992	Divide Using Long Polynomial Division	(7n^4-68n^3+46n^2-7n-18)÷(n-9)	$(7 n^{4} - 68 n^{3} + 46 n^{2} - 7 n - 18) \div (n - 9)$
217993	Simplify the Radical Expression	(3^-8*7^3)^-2	${(3^{- 8} \cdot 7^{3})}^{- 2}$
217994	Simplify	simplify: (9^4)/(9^24)	simplify: $\frac{9^{4}}{9^{24}}$
217995	Graph	x+y<=4 and x>=3	$x + y \leq 4$ and $x \geq 3$
217996	Evaluate	(-(q^4)/5)^-3	${(- \frac{q^{4}}{5})}^{- 3}$
217997	Solve for B	cot(theta)=A/B	$\cot (θ) = \frac{A}{B}$
217998	Solve for y	square root of 6y+5 = square root of 2y+10	$\sqrt{6 y + 5} = \sqrt{2 y + 10}$
217999	Graph	y=-x if x<2; x-6 if x>=2	$y = {\begin{cases} - x & x < 2 \\ x - 6 & x \geq 2 \end{cases}$
218000	Solve for x	3x-11+4x-7+44=180	$3 x - 11 + 4 x - 7 + 44 = 180$