Mathway | Popular Problems

Popular Problems

Rank	Topic	Problem	Formatted Problem
201401	Solve for x	square root of 10-x^2+6<\|10-x^2\|	$\sqrt{10 - x^{2}} + 6 < \| 10 - x^{2} \|$
201402	Graph	x^2+y^2+x-y+6=0	$x^{2} + y^{2} + x - y + 6 = 0$
201403	Find the x and y Intercepts	y=1/2*2^x-4	$y = \frac{1}{2} \cdot 2^{x} - 4$
201404	Find the Inverse	f(x)=(3x+1)^(1/3)	$f (x) = {(3 x + 1)}^{\frac{1}{3}}$
201405	Simplify the Radical Expression	(6- square root of 2)/(4-3 square root of 2)	$\frac{6 - \sqrt{2}}{4 - 3 \sqrt{2}}$
201406	Simplify	(-(q^4)/5)^-3	${(- \frac{q^{4}}{5})}^{- 3}$
201407	Graph	y=-6x y=-7x-1	$y = - 6 x$ $y = - 7 x - 1$
201408	Solve for x	7(x-2)-5x=-3x	$7 (x - 2) - 5 x = - 3 x$
201409	Solve for x	fifth root of 7x+3-8=-10	$\sqrt[5]{7 x + 3} - 8 = - 10$
201410	Solve for m	y=7m+6	$y = 7 m + 6$
201411	Solve the System of Equations	3x-2y=-7 4y=9-6x	$3 x - 2 y = - 7$ $4 y = 9 - 6 x$
201412	Solve for x	(x-3)/x=3/5	$\frac{x - 3}{x} = \frac{3}{5}$
201413	Solve for d	10d=-10d-8(-2d-9)	$10 d = - 10 d - 8 (- 2 d - 9)$
201414	Evaluate	(xy^-6)^2	${(x y^{- 6})}^{2}$
201415	Solve for x	5(x-3)-3x=8x-15-6x	$5 (x - 3) - 3 x = 8 x - 15 - 6 x$
201416	Simplify	(12c^24d^10)/(2c^8d^3)-13c^16d^7	$\frac{12 c^{24} d^{10}}{2 c^{8} d^{3}} - 13 c^{16} d^{7}$
201417	Simplify	(i square root of 1 2/3)/(i square root of 2/3)	$\frac{i \sqrt{1 \frac{2}{3}}}{i \sqrt{\frac{2}{3}}}$
201418	Simplify the Radical Expression	cube root of 64^2	$\sqrt[3]{64^{2}}$
201419	Solve for X	3X^2-7X+4=0	$3 X^{2} - 7 X + 4 = 0$
201420	Simplify	(4x)^2(b^3)	${(4 x)}^{2} (b^{3})$
201421	Write Using Positive Exponents	x^4y^-2	$x^{4} y^{- 2}$
201422	Simplify the Radical Expression	fourth root of 1296/25	$\sqrt[4]{\frac{1296}{25}}$
201423	Solve for n	8/11(n-10)=64	$\frac{8}{11} (n - 10) = 64$
201424	Simplify	square root of 3* cube root of 9	$\sqrt{3} \cdot \sqrt[3]{9}$
201425	Simplify	((3m^5r^3)/(4p^8))^4	${(\frac{3 m^{5} r^{3}}{4 p^{8}})}^{4}$
201426	Solve by Addition/Elimination	y=-3x+5 y=-8x+25	$y = - 3 x + 5$ $y = - 8 x + 25$
201427	Solve for x	-7/8x=-21/64	$- \frac{7}{8} x = - \frac{21}{64}$
201428	Simplify the Radical Expression	-3 square root of 2+3 square root of 20-3 square root of 8	$- 3 \sqrt{2} + 3 \sqrt{20} - 3 \sqrt{8}$
201429	Solve for x	3(1-5/2x)+4x=5	$3 (1 - \frac{5}{2} x) + 4 x = 5$
201430	Simplify the Radical Expression	-2 square root of 3+3 square root of 27	$- 2 \sqrt{3} + 3 \sqrt{27}$
201431	Simplify	sixth root of x^9	$\sqrt[6]{x^{9}}$
201432	Evaluate	(1+i square root of 2)/2-(1-i square root of 1/2)	$\frac{(1 + i \sqrt{2})}{2} - (1 - i \sqrt{\frac{1}{2}})$
201433	Solve for y	limit as x approaches 4 of (x^2+7x+y)/(x^2-6x+8)=15/2	$lim_{x \to 4} \frac{x^{2} + 7 x + y}{x^{2} - 6 x + 8} = \frac{15}{2}$
201434	Simplify	(3a^3-15a^2b+12ab^2)/(3a^2b)	$\frac{3 a^{3} - 15 a^{2} b + 12 a b^{2}}{3 a^{2} b}$
201435	Simplify	square root of 2-4 square root of 2+9 square root of 2	$\sqrt{2} - 4 \sqrt{2} + 9 \sqrt{2}$
201436	Simplify	5/8x+1/2(1/4x+10)	$\frac{5}{8} x + \frac{1}{2} (\frac{1}{4} x + 10)$
201437	Solve the Rational Equation for b	-5 square root of b=-50	$- 5 \sqrt{b} = - 50$
201438	Solve for x	10^2+10^2=x^2	$10^{2} + 10^{2} = x^{2}$
201439	Solve the System of Equations	-v+w=7 v+w=1	$- v + w = 7$ $v + w = 1$
201440	Factor	-30x^3-2x^2y+4xy^2	$- 30 x^{3} - 2 x^{2} y + 4 x y^{2}$
201441	Simplify	(-4)(3x^2)(2x)	$(- 4) (3 x^{2}) (2 x)$
201442	Simplify	4/( square root of 6+2)	$\frac{4}{\sqrt{6 + 2}}$
201443	Solve for x	cube root of 2x+1 = cube root of x+8	$\sqrt[3]{2 x + 1} = \sqrt[3]{x + 8}$
201444	Solve the Inequality for y	3y<=2y-6	$3 y \leq 2 y - 6$
201445	Simplify the Radical Expression	square root of 2* square root of 3	$\sqrt{2} \cdot \sqrt{3}$
201446	Simplify	(4x)/(x-7)-(3x)/(2x-14)	$\frac{4 x}{x - 7} - \frac{3 x}{2 x - 14}$
201447	Convert to Radical Form	(26)(1/4)	$(26) (\frac{1}{4})$
201448	Simplify	(11 square root of 12)/(2 square root of 7)	$\frac{11 \sqrt{12}}{2 \sqrt{7}}$
201449	Multiply	3p(np-z)	$3 p (n p - z)$
201450	Solve for x	2 cube root of x=4 cube root of x+7	$2 \sqrt[3]{x} = 4 \sqrt[3]{x} + 7$
201451	Simplify	10a-(-(5a+20))	$10 a - (- (5 a + 20))$
201452	Divide	((x+1)^(2n)+4(x+1)^(2n+1)+6(x+1)^6-11)/(x(x+2))	$\frac{{(x + 1)}^{2 n} + 4 {(x + 1)}^{2 n + 1} + 6 {(x + 1)}^{6} - 11}{x (x + 2)}$
201453	Simplify	(3a^2b-6ab+5ab^2)(ab)^-1	$(3 a^{2} b - 6 a b + 5 a b^{2}) {(a b)}^{- 1}$
201454	Simplify	(48x^6y^7z^5)/(-6xy^5z^6)	$\frac{48 x^{6} y^{7} z^{5}}{- 6 x y^{5} z^{6}}$
201455	Simplify the Radical Expression	fifth root of 64/r	$\sqrt[5]{\frac{64}{r}}$
201456	Simplify	square root of 3^3*6^3	$\sqrt{3^{3}} \cdot 6^{3}$
201457	Evaluate	10-4÷2+3*4-1	$10 - 4 \div 2 + 3 \cdot 4 - 1$
201458	Simplify	( square root of 3x^4)/( square root of 2x^2y^5)	$\frac{\sqrt{3 x^{4}}}{\sqrt{2 x^{2} y^{5}}}$
201459	Solve the Inequality for q	6q<-18	$6 q < - 18$
201460	Simplify the Radical Expression	square root of (x^2)/12	$\sqrt{\frac{x^{2}}{12}}$
201461	Graph	The graph of y=f(x) is shown below. Draw the graph of y=-f(x)	The graph of $y = f (x)$ is shown below. Draw the graph of $y = - f (x)$
201462	Multiply	square root of 2*5 square root of 8	$\sqrt{2} \cdot 5 \sqrt{8}$
201463	Simplify the Radical Expression	25 1/2	$25 \frac{1}{2}$
201464	Solve for x	square root of 3x+1-3=7	$\sqrt{3 x + 1 - 3} = 7$
201465	Simplify	((8cd^3)(-3c^4))/(6c^2d)-9c^3d^2	$\frac{(8 c d^{3}) (- 3 c^{4})}{6 c^{2} d} - 9 c^{3} d^{2}$
201466	Simplify	(8y^3)(-3x^2y^2)(3/8xy^4)	$(8 y^{3}) (- 3 x^{2} y^{2}) (\frac{3}{8} x y^{4})$
201467	Find the x and y Intercepts	y=x^3+x^2-12x	$y = x^{3} + x^{2} - 12 x$
201468	Solve for x	(sin(x)-1)(sin(x)-5)=0	$(\sin (x) - 1) (\sin (x) - 5) = 0$
201469	Describe the Transformation	f(x)=-3*2^(x-1)+7	$f (x) = - 3 \cdot 2^{x - 1} + 7$
201470	Simplify	x/(x+3)+(17x)/(6x+18)	$\frac{x}{x + 3} + \frac{17 x}{6 x + 18}$
201471	Solve for x	3x(x^2-5x+6)+4(x^2+3x-4)=5x(x^2-2x+3)-x(2x^2+x)-1	$3 x (x^{2} - 5 x + 6) + 4 (x^{2} + 3 x - 4) = 5 x (x^{2} - 2 x + 3) - x (2 x^{2} + x) - 1$
201472	Solve the System of Equations	3x-4y=-8 8y=6x-16	$3 x - 4 y = - 8$ $8 y = 6 x - 16$
201473	Simplify	(-5xy)(4x^2)(y^4)	$(- 5 x y) (4 x^{2}) (y^{4})$
201474	Solve for b	6+4/5b=9/10b	$6 + \frac{4}{5} b = \frac{9}{10} b$
201475	Simplify	(a^7b^8c^8)/(a^5bc^7)	$\frac{a^{7} b^{8} c^{8}}{a^{5} b c^{7}}$
201476	Simplify	((4x^2yz^3)^2)/(2x^3y^2z^-4)	$\frac{{(4 x^{2} y z^{3})}^{2}}{2 x^{3} y^{2} z^{- 4}}$
201477	Find the Product	(6mn-9)(m^2n-7)	$(6 m n - 9) (m^{2} n - 7)$
201478	Simplify	3(cos(pi/3)+isin(pi/3))*5(cos(pi/4)+isin(pi/4))	$3 (\cos (\frac{π}{3}) + i \sin (\frac{π}{3})) \cdot 5 (\cos (\frac{π}{4}) + i \sin (\frac{π}{4}))$
201479	Find the x and y Intercepts	f(x)=4*(2/3)^x+1	$f (x) = 4 \cdot {(\frac{2}{3})}^{x} + 1$
201480	Write the Fraction in Simplest Form	9/( square root of 3+ square root of 7)	$\frac{9}{\sqrt{3} + \sqrt{7}}$
201481	Solve for x	1/2x-4+1=-3-1/2x	$\frac{1}{2} x - 4 + 1 = - 3 - \frac{1}{2} x$
201482	Simplify	(2x)/(5x)+(2x)/(x^2)	$\frac{2 x}{5 x} + \frac{2 x}{x^{2}}$
201483	Simplify	(2x+10)/3*(6x)/(x+5)	$\frac{2 x + 10}{3} \cdot \frac{6 x}{x + 5}$
201484	Factor by Grouping	16a^4+64a^3b^2+96a^2b^4+64ab^6+16b^8	$16 a^{4} + 64 a^{3} b^{2} + 96 a^{2} b^{4} + 64 a b^{6} + 16 b^{8}$
201485	Solve for R	E/R=I	$\frac{E}{R} = I$
201486	Simplify the Radical Expression	27 2/3	$27 \frac{2}{3}$
201487	Simplify	((14m^4)/(3m))÷((7m^2)/(18m^5))	$\frac{14 m^{4}}{3 m} \div \frac{7 m^{2}}{18 m^{5}}$
201488	Graph	x^2+(y-(4/x)^2)*2=1	$x^{2} + (y - {(\frac{4}{x})}^{2}) \cdot 2 = 1$
201489	Solve for x	log of x+2+ log of x-2=1- log of 2	$\log (x + 2) + \log (x - 2) = 1 - \log (2)$
201490	Simplify	(x^2y^6z^3)/(x^2y^2)	$\frac{x^{2} y^{6} z^{3}}{x^{2} y^{2}}$
201491	Simplify	(5- square root of 21)/( square root of 3- square root of 7)	$\frac{5 - \sqrt{21}}{\sqrt{3} - \sqrt{7}}$
201492	Simplify	(-35 square root of 6)/(7i square root of -12)	$\frac{- 35 \sqrt{6}}{7 i \sqrt{- 12}}$
201493	Simplify	(2x+22)/3*6/(4x)	$\frac{2 x + 22}{3} \cdot \frac{6}{4 x}$
201494	Simplify	20/(26x)*(13x)/(4x)	$\frac{20}{26 x} \cdot \frac{13 x}{4 x}$
201495	Simplify	(1+ square root of 2+ square root of 3)(1+ square root of 2- square root of 3)	$(1 + \sqrt{2} + \sqrt{3}) (1 + \sqrt{2} - \sqrt{3})$
201496	Simplify	64-(2+1)^3+1^5	$64 - {(2 + 1)}^{3} + 1^{5}$
201497	Simplify	(22w+11)/(8w^2-6w)-3/(2w)	$\frac{22 w + 11}{8 w^{2} - 6 w} - \frac{3}{2 w}$
201498	Simplify	((20x-4)/(8x^2))÷(5x-1)*(6x)/5	$\frac{20 x - 4}{8 x^{2}} \div (5 x - 1) \cdot \frac{6 x}{5}$
201499	Solve for a	64^a=8^(a+2)	$64^{a} = 8^{a + 2}$
201500	Simplify	square root of (r^4g^6p^2)^3	$\sqrt{{(r^{4} g^{6} p^{2})}^{3}}$