Mathway | Popular Problems

Popular Problems

Rank	Topic	Problem	Formatted Problem
208801	Solve the System of Equations	h-z=3 -3h+3z=6	$h - z = 3$ $- 3 h + 3 z = 6$
208802	Simplify	cube root of 125x^7* fourth root of 256x^3	$\sqrt[3]{125 x^{7}} \cdot \sqrt[4]{256 x^{3}}$
208803	Solve for x	4=(6-2x)^(1/2)	$4 = {(6 - 2 x)}^{\frac{1}{2}}$
208804	Solve for f	P_n=L+(si)/f	$P_{n} = L + \frac{s i}{f}$
208805	Simplify	f(x)=(x^3-15x^2+71x-105)/24+(-(x^3-11x^2+31x-21))/8+(-4x^2+24x-20)/16	$f (x) = \frac{x^{3} - 15 x^{2} + 71 x - 105}{24} + \frac{- (x^{3} - 11 x^{2} + 31 x - 21)}{8} + \frac{- 4 x^{2} + 24 x - 20}{16}$
208806	Solve for x	6+3x = square root of 2x+12+2x	$6 + 3 x = \sqrt{2 x + 12} + 2 x$
208807	Simplify	a^3*(a^2b)^4	$a^{3} \cdot {(a^{2} b)}^{4}$
208808	Find the Roots (Zeros)	(x+3)(x^2-x-12)	$(x + 3) (x^{2} - x - 12)$
208809	Solve the Inequality for x	2x+3y<=6	$2 x + 3 y \leq 6$
208810	Evaluate Using the Given Value	8x^3+15x^2-7x-5 at x=1	$8 x^{3} + 15 x^{2} - 7 x - 5$ at $x = 1$
208811	Simplify	(2x^3y^4)/((2yx^-1)^4)	$\frac{2 x^{3} y^{4}}{{(2 y x^{- 1})}^{4}}$
208812	Describe the Transformation	y=2f(x)-3	$y = 2 f (x) - 3$
208813	Write in Exponential Form	fourth root of x^3- fourth root of x	$\sqrt[4]{x^{3}} - \sqrt[4]{x}$
208814	Solve for x	1/2-7/x=5/(2x)	$\frac{1}{2} - \frac{7}{x} = \frac{5}{2 x}$
208815	Solve by Graphing	2x+y=4 -4x-2y=-8	$2 x + y = 4$ $- 4 x - 2 y = - 8$
208816	Write the Fraction in Simplest Form	(5r^-1)/(4(r^-1)^2)	$\frac{5 r^{- 1}}{4 {(r^{- 1})}^{2}}$
208817	Evaluate	9^x-1=2	$9^{x} - 1 = 2$
208818	Simplify the Radical Expression	(6 square root of 7)(7 square root of 14)	$(6 \sqrt{7}) (7 \sqrt{14})$
208819	Simplify	cube root of 3/9	$\sqrt[3]{\frac{3}{9}}$
208820	Solve for x	log base 3 of 4x^2-1- log base 3 of x+3=1	$\log_{3} (4 x^{2} - 1) - \log_{3} (x + 3) = 1$
208821	Simplify the Radical Expression	( square root of 7)^2	${(\sqrt{7})}^{2}$
208822	Solve for x	(54+x+89)/3=76	$\frac{54 + x + 89}{3} = 76$
208823	Find the Inverse	f(x)=2x^(-2/3)	$f (x) = 2 x^{- \frac{2}{3}}$
208824	Solve the Rational Equation for x	square root of 2x+15=x	$\sqrt{2 x + 15} = x$
208825	Simplify the Radical Expression	square root of 75/36	$\sqrt{\frac{75}{36}}$
208826	Solve for x	-(4-x)=3/4(x-6)	$- (4 - x) = \frac{3}{4} (x - 6)$
208827	Simplify	1/(2^3-5)	$\frac{1}{2^{3} - 5}$
208828	Simplify	(n-1-(n-1-(n-1)))	$(n - 1 - (n - 1 - (n - 1)))$
208829	Solve the Inequality for n	1/2n+3<5	$\frac{1}{2} n + 3 < 5$
208830	Solve for w	-2w+14w+3=8w+27	$- 2 w + 14 w + 3 = 8 w + 27$
208831	Solve the Inequality for x	x^2+5x-12<x+8	$x^{2} + 5 x - 12 < x + 8$
208832	Subtract	(7-13x^3-11x)-(2x^3+8-4x^5)	$(7 - 13 x^{3} - 11 x) - (2 x^{3} + 8 - 4 x^{5})$
208833	Simplify	4 square root of 310 square root of 12 square root of 6* square root of 2	$4 \sqrt{3} \cdot 10 \sqrt{12} \cdot \sqrt{6} \cdot \sqrt{2}$
208834	Simplify/Condense	3* log base 2 of p+7* log base 2 of q	$3 \cdot \log_{2} (p) + 7 \cdot \log_{2} (q)$
208835	Solve for C	2cos(C)^2+cos(C)-1=0	$2 \cos^{2} (C) + \cos (C) - 1 = 0$
208836	Simplify	x2^3(4/(x^2))^-1	$x \cdot 2^{3} \cdot {(\frac{4}{x^{2}})}^{- 1}$
208837	Simplify	( square root of x+ square root of 3)( square root of x+2 square root of 3)	$(\sqrt{x} + \sqrt{3}) (\sqrt{x} + 2 \sqrt{3})$
208838	Write in Exponential Form	square root of 5^2	$\sqrt{5^{2}}$
208839	Simplify	x+2x-8+3x+1-2x	$x + 2 x - 8 + 3 x + 1 - 2 x$
208840	Evaluate	square root of 3x-2=5	$\sqrt{3 x - 2} = 5$
208841	Simplify	(12x^9y^9)/(15x^7y*5x^4y^2)	$\frac{12 x^{9} y^{9}}{15 x^{7} y \cdot 5 x^{4} y^{2}}$
208842	Solve for x	1/x+2x=3	$\frac{1}{x} + 2 x = 3$
208843	Simplify	(x^2+2x+1)/(x^3-2x^2-3x)	$\frac{x^{2} + 2 x + 1}{x^{3} - 2 x^{2} - 3 x}$
208844	Solve for x	2(2x-1)+2x=6(x-1)	$2 (2 x - 1) + 2 x = 6 (x - 1)$
208845	Find the Roots (Zeros)	x^5+x^4+x^3+x^2+x=0	$x^{5} + x^{4} + x^{3} + x^{2} + x = 0$
208846	Simplify	(6ab^8)(-2ab^2)-4a^2b^10	$(6 a b^{8}) (- 2 a b^{2}) - 4 a^{2} b^{10}$
208847	Simplify	6n^3-n^2+3n^4+5n^2	$6 n^{3} - n^{2} + 3 n^{4} + 5 n^{2}$
208848	Evaluate Using the Given Value	-a^-2 if a=-5 ?	$- a^{- 2}$ if $a = - 5$ ?
208849	Solve the System of Inequalities	4x+y<2 y>-2	$4 x + y < 2$ $y > - 2$
208850	Solve for x	(4x-1)/x=3x	$\frac{4 x - 1}{x} = 3 x$
208851	Find the Exact Value	sin((5pi)/6)+2tan((7pi)/4)	$\sin (\frac{5 π}{6}) + 2 \tan (\frac{7 π}{4})$
208852	Simplify the Radical Expression	( square root of -4)^2	${(\sqrt{- 4})}^{2}$
208853	Simplify	(-9x)/(x^2-4x-21)	$\frac{- 9 x}{x^{2} - 4 x - 21}$
208854	Solve by Completing the Square	-3x^2-63x-194=-15x+1	$- 3 x^{2} - 63 x - 194 = - 15 x + 1$
208855	Simplify	((32x^10)/(2x^8))^(1/2)	${(\frac{32 x^{10}}{2 x^{8}})}^{\frac{1}{2}}$
208856	Determine if Perpendicular	8x-2y=4 and x+4y=-12	$8 x - 2 y = 4$ and $x + 4 y = - 12$
208857	Solve for x	-8(8-x)=4/5(x+10)	$- 8 (8 - x) = \frac{4}{5} (x + 10)$
208858	Simplify the Radical Expression	( square root of 3)/( square root of 6)	$\frac{\sqrt{3}}{\sqrt{6}}$
208859	Simplify the Radical Expression	square root of 27+10 square root of 3	$\sqrt{27} + 10 \sqrt{3}$
208860	Factor	63q^3r^6-54r^3	$63 q^{3} r^{6} - 54 r^{3}$
208861	Divide Using Synthetic Division	x^3+7x^2+7x-6 by x+2	$x^{3} + 7 x^{2} + 7 x - 6$ by $x + 2$
208862	Solve for c	2c-4=3(4-2c)	$2 c - 4 = 3 (4 - 2 c)$
208863	Simplify/Condense	1/2* log base 3 of 9x+3/2* log base 3 of 4x^3	$\frac{1}{2} \cdot \log_{3} (9 x) + \frac{3}{2} \cdot \log_{3} (4 x^{3})$
208864	Evaluate	10^(6x)=93	$10^{6 x} = 93$
208865	Find the First Term	a_n=((n+1)!)/((n+2)!)	$a_{n} = \frac{(n + 1)!}{(n + 2)!}$
208866	Divide	(k^3-30k-18-4k^2)÷(3+k)	$(k^{3} - 30 k - 18 - 4 k^{2}) \div (3 + k)$
208867	Combine Like Terms	x-2-x+x	$x - 2 - x + x$
208868	Divide Using Synthetic Division	(k^3-30k-18-4k^2)÷(3+k)	$(k^{3} - 30 k - 18 - 4 k^{2}) \div (3 + k)$
208869	Simplify	(b3/7)(b4/7)	$(b \frac{3}{7}) (b \frac{4}{7})$
208870	Evaluate	(6cd^-1)^-3	${(6 c d^{- 1})}^{- 3}$
208871	Solve for y	2y+4>2(3+y)	$2 y + 4 > 2 (3 + y)$
208872	Simplify	4-(3+1)^2-6÷2+4	$4 - {(3 + 1)}^{2} - 6 \div 2 + 4$
208873	Solve for x	4(2x-2)+2=4(x-2)	$4 (2 x - 2) + 2 = 4 (x - 2)$
208874	Evaluate Using the Given Value	2x^2-y^1+3x^0 for x=4 and y=7	$2 x^{2} - y^{1} + 3 x^{0}$ for $x = 4$ and $y = 7$
208875	Solve the System of Inequalities	2x+4y<=12 3x-y<2	$2 x + 4 y \leq 12$ $3 x - y < 2$
208876	Simplify	-1/3(6x+15)-3	$- \frac{1}{3} (6 x + 15) - 3$
208877	Simplify	3^-3(6p^-5)^2	$3^{- 3} {(6 p^{- 5})}^{2}$
208878	Determine if Parallel	-4y=-2x+8 and 3x-6y=6	$- 4 y = - 2 x + 8$ and $3 x - 6 y = 6$
208879	Write in Standard Form	y=4(3x+1)(5x-6)	$y = 4 (3 x + 1) (5 x - 6)$
208880	Solve for θ	(1+tan(theta))/(sin(theta))=0	$\frac{1 + \tan (θ)}{\sin (θ)} = 0$
208881	Solve the System of Equations	y=-1/3x+1 x=-6	$y = - \frac{1}{3} x + 1$ $x = - 6$
208882	Simplify	(x^4+2x^3)/(14x+28)	$\frac{x^{4} + 2 x^{3}}{14 x + 28}$
208883	Simplify the Radical Expression	(5- square root of 2)(5+ square root of 2)	$(5 - \sqrt{2}) (5 + \sqrt{2})$
208884	Find the Inverse	f(x)=1/7x^2 , x>=0	$f (x) = \frac{1}{7} x^{2}$ , $x \geq 0$
208885	Simplify	(8 square root of 14)/(12 square root of 18)	$\frac{8 \sqrt{14}}{12 \sqrt{18}}$
208886	Find the Product	(7+4x)(2-9x)	$(7 + 4 x) (2 - 9 x)$
208887	Find the Exact Value	(sin((11pi)/6)-cos(pi/6))/(sin(-pi/6)+cos((5pi)/6))	$\frac{\sin (\frac{11 π}{6}) - \cos (\frac{π}{6})}{\sin (- \frac{π}{6}) + \cos (\frac{5 π}{6})}$
208888	Solve for x	x/(x+4)+1/(x-4)=2/(x^2-16)	$\frac{x}{x + 4} + \frac{1}{x - 4} = \frac{2}{x^{2} - 16}$
208889	Find the Degree, Leading Term, and Leading Coefficient	f(x)=-3x^4-10x^3	$f (x) = - 3 x^{4} - 10 x^{3}$
208890	Solve for r	(\|3+r\|)/7<=5	$\frac{\| 3 + r \|}{7} \leq 5$
208891	Find the Quotient	(28r^7+8r^5)/(4r^2)	$\frac{28 r^{7} + 8 r^{5}}{4 r^{2}}$
208892	Write in Standard Form	5x+3x^4+15-7x^3	$5 x + 3 x^{4} + 15 - 7 x^{3}$
208893	Solve the Rational Equation for k	cube root of k+4 = cube root of 2k+3	$\sqrt[3]{k + 4} = \sqrt[3]{2 k + 3}$
208894	Write the Fraction in Simplest Form	((4v^-3)^3)/(3v^-8)	$\frac{{(4 v^{- 3})}^{3}}{3 v^{- 8}}$
208895	Simplify	1/2(5(x+2)+4x)	$\frac{1}{2} (5 (x + 2) + 4 x)$
208896	Solve for x	2 = square root of 3x-1	$2 = \sqrt{3 x - 1}$
208897	Evaluate	-3(3)^(1/2)+3/(4(3)^(1/2))	$- 3 {(3)}^{\frac{1}{2}} + \frac{3}{4 {(3)}^{\frac{1}{2}}}$
208898	Combine Like Terms	1-2p-9+p	$1 - 2 p - 9 + p$
208899	Simplify	(2+ square root of -1)+(-3+ square root of -16)	$(2 + \sqrt{- 1}) + (- 3 + \sqrt{- 16})$
208900	Find the Midpoint	P_1=(2,-3) , P_2=(4,5)	$P_{1} = (2, - 3)$ , $P_{2} = (4, 5)$