Mathway | Popular Problems

Popular Problems

Rank	Topic	Problem	Formatted Problem
208801	Write the Fraction in Simplest Form	(5r^-1)/(4(r^-1)^2)	$\frac{5 r^{- 1}}{4 {(r^{- 1})}^{2}}$
208802	Evaluate	9^x-1=2	$9^{x} - 1 = 2$
208803	Simplify the Radical Expression	(6 square root of 7)(7 square root of 14)	$(6 \sqrt{7}) (7 \sqrt{14})$
208804	Simplify	cube root of 3/9	$\sqrt[3]{\frac{3}{9}}$
208805	Solve for x	log base 3 of 4x^2-1- log base 3 of x+3=1	$\log_{3} (4 x^{2} - 1) - \log_{3} (x + 3) = 1$
208806	Simplify the Radical Expression	( square root of 7)^2	${(\sqrt{7})}^{2}$
208807	Solve for x	(54+x+89)/3=76	$\frac{54 + x + 89}{3} = 76$
208808	Find the Inverse	f(x)=2x^(-2/3)	$f (x) = 2 x^{- \frac{2}{3}}$
208809	Solve the Rational Equation for x	square root of 2x+15=x	$\sqrt{2 x + 15} = x$
208810	Simplify the Radical Expression	square root of 75/36	$\sqrt{\frac{75}{36}}$
208811	Solve for x	-(4-x)=3/4(x-6)	$- (4 - x) = \frac{3}{4} (x - 6)$
208812	Simplify	1/(2^3-5)	$\frac{1}{2^{3} - 5}$
208813	Simplify	(n-1-(n-1-(n-1)))	$(n - 1 - (n - 1 - (n - 1)))$
208814	Solve the Inequality for n	1/2n+3<5	$\frac{1}{2} n + 3 < 5$
208815	Solve for w	-2w+14w+3=8w+27	$- 2 w + 14 w + 3 = 8 w + 27$
208816	Solve the Inequality for x	x^2+5x-12<x+8	$x^{2} + 5 x - 12 < x + 8$
208817	Subtract	(7-13x^3-11x)-(2x^3+8-4x^5)	$(7 - 13 x^{3} - 11 x) - (2 x^{3} + 8 - 4 x^{5})$
208818	Simplify	4 square root of 310 square root of 12 square root of 6* square root of 2	$4 \sqrt{3} \cdot 10 \sqrt{12} \cdot \sqrt{6} \cdot \sqrt{2}$
208819	Simplify/Condense	3* log base 2 of p+7* log base 2 of q	$3 \cdot \log_{2} (p) + 7 \cdot \log_{2} (q)$
208820	Solve for C	2cos(C)^2+cos(C)-1=0	$2 \cos^{2} (C) + \cos (C) - 1 = 0$
208821	Simplify	x2^3(4/(x^2))^-1	$x \cdot 2^{3} \cdot {(\frac{4}{x^{2}})}^{- 1}$
208822	Simplify	( square root of x+ square root of 3)( square root of x+2 square root of 3)	$(\sqrt{x} + \sqrt{3}) (\sqrt{x} + 2 \sqrt{3})$
208823	Write in Exponential Form	square root of 5^2	$\sqrt{5^{2}}$
208824	Simplify	x+2x-8+3x+1-2x	$x + 2 x - 8 + 3 x + 1 - 2 x$
208825	Evaluate	square root of 3x-2=5	$\sqrt{3 x - 2} = 5$
208826	Simplify	(12x^9y^9)/(15x^7y*5x^4y^2)	$\frac{12 x^{9} y^{9}}{15 x^{7} y \cdot 5 x^{4} y^{2}}$
208827	Solve for x	1/x+2x=3	$\frac{1}{x} + 2 x = 3$
208828	Simplify	(x^2+2x+1)/(x^3-2x^2-3x)	$\frac{x^{2} + 2 x + 1}{x^{3} - 2 x^{2} - 3 x}$
208829	Solve for x	2(2x-1)+2x=6(x-1)	$2 (2 x - 1) + 2 x = 6 (x - 1)$
208830	Find the Roots (Zeros)	x^5+x^4+x^3+x^2+x=0	$x^{5} + x^{4} + x^{3} + x^{2} + x = 0$
208831	Simplify	(6ab^8)(-2ab^2)-4a^2b^10	$(6 a b^{8}) (- 2 a b^{2}) - 4 a^{2} b^{10}$
208832	Simplify	6n^3-n^2+3n^4+5n^2	$6 n^{3} - n^{2} + 3 n^{4} + 5 n^{2}$
208833	Evaluate Using the Given Value	-a^-2 if a=-5 ?	$- a^{- 2}$ if $a = - 5$ ?
208834	Solve the System of Inequalities	4x+y<2 y>-2	$4 x + y < 2$ $y > - 2$
208835	Solve for x	(4x-1)/x=3x	$\frac{4 x - 1}{x} = 3 x$
208836	Find the Exact Value	sin((5pi)/6)+2tan((7pi)/4)	$\sin (\frac{5 π}{6}) + 2 \tan (\frac{7 π}{4})$
208837	Simplify the Radical Expression	( square root of -4)^2	${(\sqrt{- 4})}^{2}$
208838	Simplify	(-9x)/(x^2-4x-21)	$\frac{- 9 x}{x^{2} - 4 x - 21}$
208839	Solve by Completing the Square	-3x^2-63x-194=-15x+1	$- 3 x^{2} - 63 x - 194 = - 15 x + 1$
208840	Simplify	((32x^10)/(2x^8))^(1/2)	${(\frac{32 x^{10}}{2 x^{8}})}^{\frac{1}{2}}$
208841	Determine if Perpendicular	8x-2y=4 and x+4y=-12	$8 x - 2 y = 4$ and $x + 4 y = - 12$
208842	Solve for x	-8(8-x)=4/5(x+10)	$- 8 (8 - x) = \frac{4}{5} (x + 10)$
208843	Simplify the Radical Expression	( square root of 3)/( square root of 6)	$\frac{\sqrt{3}}{\sqrt{6}}$
208844	Simplify the Radical Expression	square root of 27+10 square root of 3	$\sqrt{27} + 10 \sqrt{3}$
208845	Factor	63q^3r^6-54r^3	$63 q^{3} r^{6} - 54 r^{3}$
208846	Divide Using Synthetic Division	x^3+7x^2+7x-6 by x+2	$x^{3} + 7 x^{2} + 7 x - 6$ by $x + 2$
208847	Solve for c	2c-4=3(4-2c)	$2 c - 4 = 3 (4 - 2 c)$
208848	Simplify/Condense	1/2* log base 3 of 9x+3/2* log base 3 of 4x^3	$\frac{1}{2} \cdot \log_{3} (9 x) + \frac{3}{2} \cdot \log_{3} (4 x^{3})$
208849	Evaluate	10^(6x)=93	$10^{6 x} = 93$
208850	Find the First Term	a_n=((n+1)!)/((n+2)!)	$a_{n} = \frac{(n + 1)!}{(n + 2)!}$
208851	Divide	(k^3-30k-18-4k^2)÷(3+k)	$(k^{3} - 30 k - 18 - 4 k^{2}) \div (3 + k)$
208852	Combine Like Terms	x-2-x+x	$x - 2 - x + x$
208853	Divide Using Synthetic Division	(k^3-30k-18-4k^2)÷(3+k)	$(k^{3} - 30 k - 18 - 4 k^{2}) \div (3 + k)$
208854	Simplify	(b3/7)(b4/7)	$(b \frac{3}{7}) (b \frac{4}{7})$
208855	Evaluate	(6cd^-1)^-3	${(6 c d^{- 1})}^{- 3}$
208856	Solve for y	2y+4>2(3+y)	$2 y + 4 > 2 (3 + y)$
208857	Simplify	4-(3+1)^2-6÷2+4	$4 - {(3 + 1)}^{2} - 6 \div 2 + 4$
208858	Solve for x	4(2x-2)+2=4(x-2)	$4 (2 x - 2) + 2 = 4 (x - 2)$
208859	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 $y = 7$
208860	Solve the System of Inequalities	2x+4y<=12 3x-y<2	$2 x + 4 y \leq 12$ $3 x - y < 2$
208861	Simplify	-1/3(6x+15)-3	$- \frac{1}{3} (6 x + 15) - 3$
208862	Simplify	3^-3(6p^-5)^2	$3^{- 3} {(6 p^{- 5})}^{2}$
208863	Determine if Parallel	-4y=-2x+8 and 3x-6y=6	$- 4 y = - 2 x + 8$ and $3 x - 6 y = 6$
208864	Write in Standard Form	y=4(3x+1)(5x-6)	$y = 4 (3 x + 1) (5 x - 6)$
208865	Solve for θ	(1+tan(theta))/(sin(theta))=0	$\frac{1 + \tan (θ)}{\sin (θ)} = 0$
208866	Solve the System of Equations	y=-1/3x+1 x=-6	$y = - \frac{1}{3} x + 1$ $x = - 6$
208867	Simplify	(x^4+2x^3)/(14x+28)	$\frac{x^{4} + 2 x^{3}}{14 x + 28}$
208868	Simplify the Radical Expression	(5- square root of 2)(5+ square root of 2)	$(5 - \sqrt{2}) (5 + \sqrt{2})$
208869	Find the Inverse	f(x)=1/7x^2 , x>=0	$f (x) = \frac{1}{7} x^{2}$ , $x \geq 0$
208870	Simplify	(8 square root of 14)/(12 square root of 18)	$\frac{8 \sqrt{14}}{12 \sqrt{18}}$
208871	Find the Product	(7+4x)(2-9x)	$(7 + 4 x) (2 - 9 x)$
208872	Find the Exact Value	(sin((11pi)/6)-cos(pi/6))/(sin(-pi/6)+cos((5pi)/6))	$\frac{\sin (\frac{11 π}{6}) - \cos (\frac{π}{6})}{\sin (- \frac{π}{6}) + \cos (\frac{5 π}{6})}$
208873	Solve for x	x/(x+4)+1/(x-4)=2/(x^2-16)	$\frac{x}{x + 4} + \frac{1}{x - 4} = \frac{2}{x^{2} - 16}$
208874	Find the Degree, Leading Term, and Leading Coefficient	f(x)=-3x^4-10x^3	$f (x) = - 3 x^{4} - 10 x^{3}$
208875	Solve for r	(\|3+r\|)/7<=5	$\frac{\| 3 + r \|}{7} \leq 5$
208876	Find the Quotient	(28r^7+8r^5)/(4r^2)	$\frac{28 r^{7} + 8 r^{5}}{4 r^{2}}$
208877	Write in Standard Form	5x+3x^4+15-7x^3	$5 x + 3 x^{4} + 15 - 7 x^{3}$
208878	Solve the Rational Equation for k	cube root of k+4 = cube root of 2k+3	$\sqrt[3]{k + 4} = \sqrt[3]{2 k + 3}$
208879	Write the Fraction in Simplest Form	((4v^-3)^3)/(3v^-8)	$\frac{{(4 v^{- 3})}^{3}}{3 v^{- 8}}$
208880	Simplify	1/2(5(x+2)+4x)	$\frac{1}{2} (5 (x + 2) + 4 x)$
208881	Solve for x	2 = square root of 3x-1	$2 = \sqrt{3 x - 1}$
208882	Evaluate	-3(3)^(1/2)+3/(4(3)^(1/2))	$- 3 {(3)}^{\frac{1}{2}} + \frac{3}{4 {(3)}^{\frac{1}{2}}}$
208883	Combine Like Terms	1-2p-9+p	$1 - 2 p - 9 + p$
208884	Simplify	(2+ square root of -1)+(-3+ square root of -16)	$(2 + \sqrt{- 1}) + (- 3 + \sqrt{- 16})$
208885	Find the Midpoint	P_1=(2,-3) , P_2=(4,5)	$P_{1} = (2, - 3)$ , $P_{2} = (4, 5)$
208886	Divide	Divide x+1 into x^2+2x+3	Divide $x + 1$ into $x^{2} + 2 x + 3$
208887	Simplify	cube root of (432n^12)/(64q^6)	$\sqrt[3]{\frac{432 n^{12}}{64 q^{6}}}$
208888	Simplify the Radical Expression	(3-2 square root of k)^2	${(3 - 2 \sqrt{k})}^{2}$
208889	Simplify	(4-5i)-(-2i-8)+(-1+8i)	$(4 - 5 i) - (- 2 i - 8) + (- 1 + 8 i)$
208890	Solve for x	( square root of 2x)/5+3=5	$\frac{\sqrt{2 x}}{5} + 3 = 5$
208891	Simplify	square root of 16(x+5)^2	$\sqrt{16 {(x + 5)}^{2}}$
208892	Factor	2(x+1)(x-1)^-1-(x+1)^2(x-1)^-2+3(x+1)(x-1)^-2	$2 (x + 1) {(x - 1)}^{- 1} - {(x + 1)}^{2} {(x - 1)}^{- 2} + 3 (x + 1) {(x - 1)}^{- 2}$
208893	Solve the Inequality for z	8-z/3>=11	$8 - \frac{z}{3} \geq 11$
208894	Simplify	((x^2-9)(x^2-z^2))/(4(x+z)(x-3))	$\frac{(x^{2} - 9) (x^{2} - z^{2})}{4 (x + z) (x - 3)}$
208895	Simplify the Radical Expression	square root of (x^24)/9	$\sqrt{\frac{x^{24}}{9}}$
208896	Solve for x	e^(x-1)=0	$e^{x - 1} = 0$
208897	Divide Using Long Polynomial Division	(8x^3+5x^2+3x-1)÷2x	$(8 x^{3} + 5 x^{2} + 3 x - 1) \div 2 x$
208898	Combine Like Terms	11k+2j+5h-10k-j	$11 k + 2 j + 5 h - 10 k - j$
208899	Solve for x	4/(2x+1)+1/(4x^2-1)=3	$\frac{4}{2 x + 1} + \frac{1}{4 x^{2} - 1} = 3$
208900	Find the Holes in the Graph	y=(x^2-4)/(x^2+4)	$y = \frac{x^{2} - 4}{x^{2} + 4}$