Mathway | Popular Problems

Popular Problems

Rank	Topic	Problem	Formatted Problem
201301	Find the Degree, Leading Term, and Leading Coefficient	h(x)=3x^4+2x-5/x+9x^3-7	$h (x) = 3 x^{4} + 2 x - \frac{5}{x} + 9 x^{3} - 7$
201302	Graph	0.5x+y=5	$0.5 x + y = 5$
201303	Simplify	(((4x^2y^3)^0)/(-3x^-1y^2))^3	${(\frac{{(4 x^{2} y^{3})}^{0}}{- 3 x^{- 1} y^{2}})}^{3}$
201304	Solve for v	-7v=8-8v	$- 7 v = 8 - 8 v$
201305	Solve for S	S=(2^(x-1)+2^(x-2))*2^(-x+2)	$S = (2^{x - 1} + 2^{x - 2}) \cdot 2^{- x + 2}$
201306	Rationalize the Denominator	(9 square root of 2)/( square root of 10+ square root of 18)	$\frac{9 \sqrt{2}}{\sqrt{10} + \sqrt{18}}$
201307	Solve for f	4(-3f-9)=4f-4	$4 (- 3 f - 9) = 4 f - 4$
201308	Simplify	2 square root of 50*3 square root of 8	$2 \sqrt{50} \cdot 3 \sqrt{8}$
201309	Simplify	(10x^9)/8*2/(15x^3)	$\frac{10 x^{9}}{8} \cdot \frac{2}{15 x^{3}}$
201310	Solve for p	x^2+px+q=(x-13)(x+1)	$x^{2} + p x + q = (x - 13) (x + 1)$
201311	Solve for X	X^2-8X+5=0	$X^{2} - 8 X + 5 = 0$
201312	Rationalize the Denominator	square root of 7/9	$\sqrt{\frac{7}{9}}$
201313	Simplify	(2x^2-y)(x^2+y)	$(2 x^{2} - y) (x^{2} + y)$
201314	Evaluate	(-5x^-3y^0)^-1	${(- 5 x^{- 3} y^{0})}^{- 1}$
201315	Solve for b	5(-b-2)=-4b-9-1	$5 (- b - 2) = - 4 b - 9 - 1$
201316	Evaluate	(3 log of 2)/( log of 4+ log of 3)	$\frac{3 \log (2)}{\log (4) + \log (3)}$
201317	Solve for x	4^x<=36	$4^{x} \leq 36$
201318	Graph	yy>=-2x-8	$y \cdot y \geq - 2 x - 8$
201319	Simplify the Radical Expression	(125x)^(4/3)	${(125 x)}^{\frac{4}{3}}$
201320	Solve for x	-9x(4x-1)-2x(-18x-6)-60=3	$- 9 x (4 x - 1) - 2 x (- 18 x - 6) - 60 = 3$
201321	Solve for v	0.5(9v-4)+2=6(0.25v+2)	$0.5 (9 v - 4) + 2 = 6 (0.25 v + 2)$
201322	Solve for x	(4x)/24=56/112	$\frac{4 x}{24} = \frac{56}{112}$
201323	Simplify	((3x+5)/(8x))(2x)	$(\frac{3 x + 5}{8 x}) (2 x)$
201324	Simplify	(3x+5)/(35x)+(x-3)/(21x)	$\frac{3 x + 5}{35 x} + \frac{x - 3}{21 x}$
201325	Simplify the Radical Expression	eighth root of (n^18p^7)/(n^2p^-1)	$\sqrt[8]{\frac{n^{18} p^{7}}{n^{2} p^{- 1}}}$
201326	Solve for x	8x^2(2x-7)-4x(4x^2-5x)=-6x(6x+5)+90	$8 x^{2} (2 x - 7) - 4 x (4 x^{2} - 5 x) = - 6 x (6 x + 5) + 90$
201327	Solve the Inequality for x	square root of x^2-4x+4>0	$\sqrt{x^{2} - 4 x + 4} > 0$
201328	Solve for y	y+17=3(x+6)-14	$y + 17 = 3 (x + 6) - 14$
201329	Graph	f(x)=1/2*2^x-6	$f (x) = \frac{1}{2} \cdot 2^{x} - 6$
201330	Solve the Inequality for x	3-1/2x<=11	$3 - \frac{1}{2} x \leq 11$
201331	Simplify the Radical Expression	8 sixth root of 5-12 sixth root of 5	$8 \sqrt[6]{5} - 12 \sqrt[6]{5}$
201332	Solve for x	4x+(x+3)/6=13	$4 x + \frac{x + 3}{6} = 13$
201333	Solve the Inequality for r	3r+2(4r+2)<=2(6r+1)	$3 r + 2 (4 r + 2) \leq 2 (6 r + 1)$
201334	Write in Slope-Intercept Form	-2/3x+2y=-7	$- \frac{2}{3} x + 2 y = - 7$
201335	Solve for x	4+ square root of 5x-24=x	$4 + \sqrt{5 x - 24} = x$
201336	Graph	f(x)=-1/2cos(x)	$f (x) = - \frac{1}{2} \cos (x)$
201337	Find the Roots (Zeros)	x^5-2x^4-5x^3+9x^2+2	$x^{5} - 2 x^{4} - 5 x^{3} + 9 x^{2} + 2$
201338	Subtract	(t-8)-(t+15)	$(t - 8) - (t + 15)$
201339	Solve for x	3(x-6)^4+11=15	$3 {(x - 6)}^{4} + 11 = 15$
201340	Simplify	(12k^2-54k)/(6k)*6/(81-18k)	$\frac{12 k^{2} - 54 k}{6 k} \cdot \frac{6}{81 - 18 k}$
201341	Solve for x	x^( log of x)=100x	$x^{\log (x)} = 100 x$
201342	Solve the System of Inequalities	22>=4m-2 or 5-3m<=-13	$22 \geq 4 m - 2$ or $5 - 3 m \leq - 13$
201343	Find the Domain and Range	square root of x^2-4x+4	$\sqrt{x^{2} - 4 x + 4}$
201344	Simplify	(-26x)/(39-13x)	$\frac{- 26 x}{39 - 13 x}$
201345	Simplify the Radical Expression	(7- square root of 7)(-6+ square root of 7)	$(7 - \sqrt{7}) (- 6 + \sqrt{7})$
201346	Solve for y	y=2x-3 , x=-4	$y = 2 x - 3$ , $x = - 4$
201347	Simplify	(-5x^2-x+5)+(4-3x-5x^2+x^3)	$(- 5 x^{2} - x + 5) + (4 - 3 x - 5 x^{2} + x^{3})$
201348	Simplify	((2a^2b)/a)^3	${(\frac{2 a^{2} b}{a})}^{3}$
201349	Solve the System of Equations	2y=x-4 4x+3y=5	$2 y = x - 4$ $4 x + 3 y = 5$
201350	Simplify the Radical Expression	fifth root of (m^10)/(n^5)	$\sqrt[5]{\frac{m^{10}}{n^{5}}}$
201351	Solve for x	log base 3 of 4+ log base 2 of x=2	$\log_{3} (4 + \log_{2} (x)) = 2$
201352	Write in Exponential Form	-( fourth root of 6m^2)^3	$- {(\sqrt[4]{6 m^{2}})}^{3}$
201353	Simplify	-4i square root of -10*5 square root of -10	$- 4 i \sqrt{- 10} \cdot 5 \sqrt{- 10}$
201354	Simplify	1/4+9/10y-3/5y+7/8	$\frac{1}{4} + \frac{9}{10} y - \frac{3}{5} y + \frac{7}{8}$
201355	Simplify	((a^2b^3)^2)/((ab)^-2)	$\frac{{(a^{2} b^{3})}^{2}}{{(a b)}^{- 2}}$
201356	Simplify	-2y square root of 28x^3+3x square root of 63xy^2-3 square root of 112x^3y^2	$- 2 y \sqrt{28 x^{3}} + 3 x \sqrt{63 x y^{2}} - 3 \sqrt{112 x^{3} y^{2}}$
201357	Factor	y=x^3+10x^2+3x-126	$y = x^{3} + 10 x^{2} + 3 x - 126$
201358	Simplify	((3m^2)^2(-4n^5)^2)/(8m^3n^4)	$\frac{{(3 m^{2})}^{2} {(- 4 n^{5})}^{2}}{8 m^{3} n^{4}}$
201359	Solve for x	2x(7x+6)-7x(2x-4)=-160	$2 x (7 x + 6) - 7 x (2 x - 4) = - 160$
201360	Simplify	(x^2-2x)/2*(6x^2)/(x-2)	$\frac{x^{2} - 2 x}{2} \cdot \frac{6 x^{2}}{x - 2}$
201361	Simplify the Radical Expression	(100x^4)^(1/2)	${(100 x^{4})}^{\frac{1}{2}}$
201362	Solve for d	d+3 = square root of 4d+57	$d + 3 = \sqrt{4 d + 57}$
201363	Solve for x	6^(x+3)-6^x=215	$6^{x + 3} - 6^{x} = 215$
201364	Solve for y	y=-4(5)^x for x=2	$y = - 4 {(5)}^{x}$ for $x = 2$
201365	Solve the System of Equations	x+3y=12 5y=x+4	$x + 3 y = 12$ $5 y = x + 4$
201366	Graph	y=-(x+3)(x+1)^2(2x-5)	$y = - (x + 3) {(x + 1)}^{2} (2 x - 5)$
201367	Solve the Inequality for a	2a<=-4+a	$2 a \leq - 4 + a$
201368	Write in Slope-Intercept Form	-2x+y>=-4	$- 2 x + y \geq - 4$
201369	Simplify	(x^-8*x^-6)^(1/6)	${(x^{- 8} \cdot x^{- 6})}^{\frac{1}{6}}$
201370	Solve for w	-4(3w+10)=9-6w+w	$- 4 (3 w + 10) = 9 - 6 w + w$
201371	Solve the System of Inequalities	f-6<5 and f-4>=2	$f - 6 < 5$ and $f - 4 \geq 2$
201372	Solve the Inequality for p	4p-5<=25	$4 p - 5 \leq 25$
201373	Find the Domain and Range	f(x)=(x+1)/(2x)	$f (x) = \frac{x + 1}{2 x}$
201374	Solve for x	2x^2-x+55=(x+5)^2	$2 x^{2} - x + 55 = {(x + 5)}^{2}$
201375	Multiply	(a+b)(a^3-3ab-b^2)	$(a + b) (a^{3} - 3 a b - b^{2})$
201376	Solve for n	1 3/5n=64	$1 \frac{3}{5} n = 64$
201377	Simplify	cube root of 2/4	$\sqrt[3]{\frac{2}{4}}$
201378	Rationalize the Denominator	square root of 1/16	$\sqrt{\frac{1}{16}}$
201379	Find the Domain and Range	y=6cos(2x+3)-5	$y = 6 \cos (2 x + 3) - 5$
201380	Solve for x	4x(x+1)=(2x-3)(2x+5)	$4 x (x + 1) = (2 x - 3) (2 x + 5)$
201381	Multiply	(3/x-x/3)((3x)/(x^2+6x+9))	$(\frac{3}{x} - \frac{x}{3}) (\frac{3 x}{x^{2} + 6 x + 9})$
201382	Find All Complex Solutions	x^2-5i=0	$x^{2} - 5 i = 0$
201383	Simplify the Radical Expression	cube root of square root of 10	$\sqrt[3]{\sqrt{10}}$
201384	Solve by Addition/Elimination	4/5x+2/5y=2/15 1/3x-2y=3/2	$\frac{4}{5} x + \frac{2}{5} y = \frac{2}{15}$ $\frac{1}{3} x - 2 y = \frac{3}{2}$
201385	Simplify	((5x^-4y^3)/(2x^2y^0))^2*((4xy)/(y^3))^2	${(\frac{5 x^{- 4} y^{3}}{2 x^{2} y^{0}})}^{2} \cdot {(\frac{4 x y}{y^{3}})}^{2}$
201386	Solve Using the Quadratic Formula	(x+4)(x-5)+3=0	$(x + 4) (x - 5) + 3 = 0$
201387	Solve for x	(3+5x)(2-3x)=12-15x^2	$(3 + 5 x) (2 - 3 x) = 12 - 15 x^{2}$
201388	Simplify	(8x^3)/(x+4)*(x^2+4x)/(12x^2)	$\frac{8 x^{3}}{x + 4} \cdot \frac{x^{2} + 4 x}{12 x^{2}}$
201389	Solve for b	square root of 63-7b-b=-9	$\sqrt{63 - 7 b} - b = - 9$
201390	Solve for x	2+11/(5x)=21/(5x)	$2 + \frac{11}{5 x} = \frac{21}{5 x}$
201391	Evaluate	y=25(1.2)^5	$y = 25 {(1.2)}^{5}$
201392	Simplify	(x^2+11x+28)*(x+4)/(x+7)	$(x^{2} + 11 x + 28) \cdot \frac{x + 4}{x + 7}$
201393	Write as a Single Logarithm	log of square root of x- log of x^2+3/4 log of x^4	$\log (\sqrt{x}) - \log (x^{2}) + \frac{3}{4} \log (x^{4})$
201394	Simplify	fourth root of 16/(x^14)	$\sqrt[4]{\frac{16}{x^{14}}}$
201395	Factor	4y^(4a)+12y^(2a)+10y^(2a)+30	$4 y^{4 a} + 12 y^{2 a} + 10 y^{2 a} + 30$
201396	Solve the Inequality for F	C=5/9(F-32)	$C = \frac{5}{9} (F - 32)$
201397	Solve for B	j=-H+B	$j = - H + B$
201398	Simplify	(p^(1/2)*p^(1/4))- fourth root of 16p^3	$(p^{\frac{1}{2}} \cdot p^{\frac{1}{4}}) - \sqrt[4]{16 p^{3}}$
201399	Graph	square root of cos(x)cos(300x)+ square root of \|x\|-9.3*(-4x^2)^0.01	$\sqrt{\cos (x)} \cdot \cos (300 \cdot x) + \sqrt{\| x \|} - 9.3 \cdot {(- 4 x^{2})}^{0.01}$
201400	Simplify	(8-3v-5v^2)+(8v^4-6-6v^2)	$(8 - 3 v - 5 v^{2}) + (8 v^{4} - 6 - 6 v^{2})$