Mathway | Popular Problems

Popular Problems

Rank	Topic	Problem	Formatted Problem
189301	Multiply	2/3*4/5	$\frac{2}{3} \cdot \frac{4}{5}$
189302	Simplify	(2-2)^2	${(2 - 2)}^{2}$
189303	Find the Equation Using Point-Slope Formula	(-5,4) and (1,6)	$(- 5, 4)$ and $(1, 6)$
189304	Complete the Square	0=x^2+4x+1	$0 = x^{2} + 4 x + 1$
189305	Solve for a	( fifth root of x^3)/((x^(1/3))^5)=x^a	$\frac{\sqrt[5]{x^{3}}}{{(x^{\frac{1}{3}})}^{5}} = x^{a}$
189306	Solve for a	2(4a+1)=3a	$2 (4 a + 1) = 3 a$
189307	Solve for p	p^2+2p-13=-5	$p^{2} + 2 p - 13 = - 5$
189308	Factor	(x+y)(x-y)+3(xy-y^2)+2(x^2-yx)	$(x + y) (x - y) + 3 (x y - y^{2}) + 2 (x^{2} - y x)$
189309	Find the Roots (Zeros)	5x^3-4x+1=0	$5 x^{3} - 4 x + 1 = 0$
189310	Find the Roots (Zeros)	7x^2-9x+12=5x^2-6	$7 x^{2} - 9 x + 12 = 5 x^{2} - 6$
189311	Describe the Transformation	y=x+2	$y = x + 2$
189312	Solve for x	1/125=25^(x+5)	$\frac{1}{125} = 25^{x + 5}$
189313	Evaluate	2^-2-1	$2^{- 2} - 1$
189314	Find the Excluded Values	(x^2-3x)/(x-2)*(x^2+x-6)/x	$\frac{x^{2} - 3 x}{x - 2} \cdot \frac{x^{2} + x - 6}{x}$
189315	Evaluate	(f+g)(-4)	$(f + g) (- 4)$
189316	Solve for y	6y+3=-4y^2	$6 y + 3 = - 4 y^{2}$
189317	Solve the Inequality for x	1/4\|x-3\|+2<1	$\frac{1}{4} \| x - 3 \| + 2 < 1$
189318	Solve the Inequality for x	(x+1)/(x-3)<=2	$\frac{x + 1}{x - 3} \leq 2$
189319	Solve for q	6q=3s-9	$6 q = 3 s - 9$
189320	Evaluate	(3x)^0	${(3 x)}^{0}$
189321	Solve for x	12x=-8(10-x)	$12 x = - 8 (10 - x)$
189322	Simplify	(2x-1)(2x^2+5x+3)+(3x+6)	$(2 x - 1) (2 x^{2} + 5 x + 3) + (3 x + 6)$
189323	Evaluate	6/3+(-1/6)	$\frac{6}{3} + (- \frac{1}{6})$
189324	Find the End Behavior	f(x)=4x(x+1)(x+1)(x+2)	$f (x) = 4 x (x + 1) (x + 1) (x + 2)$
189325	Simplify	(1+ab^-1)/(1-ab^-1)	$\frac{1 + a b^{- 1}}{1 - a b^{- 1}}$
189326	Evaluate	-1/3(-4)^2+5	$- \frac{1}{3} {(- 4)}^{2} + 5$
189327	Multiply	[[3,6,1],[2,4,0],[0,6,2]]*[[2],[0],[1]]	$[\begin{array}{c} 3 & 6 & 1 \\ 2 & 4 & 0 \\ 0 & 6 & 2 \end{array}] \times [\begin{array}{c} 2 \\ 0 \\ 1 \end{array}]$
189328	Solve for a	( square root of x)/(x^5)=x^a	$\frac{\sqrt{x}}{x^{5}} = x^{a}$
189329	Write the Fraction in Simplest Form	(sin(t))/(sec(t)-cos(t))	$\frac{\sin (t)}{\sec (t) - \cos (t)}$
189330	Solve for c	square root of c+12=23	$\sqrt{c} + 12 = 23$
189331	Simplify	((-5+1)÷2)^3-\|-7\|	${((- 5 + 1) \div 2)}^{3} - \| - 7 \|$
189332	Simplify	((sin(theta))/(cos(theta))+(cos(theta))/(sin(theta)))	$(\frac{\sin (θ)}{\cos (θ)} + \frac{\cos (θ)}{\sin (θ)})$
189333	Solve the System of Equations	x+y=-4 y=x^2-6x	$x + y = - 4$ $y = x^{2} - 6 x$
189334	Solve for x	4(x+2(3x-7))=22x-65	$4 (x + 2 (3 x - 7)) = 22 x - 65$
189335	Simplify	(i square root of 3)^2*(-8i)^2	${(i \sqrt{3})}^{2} \cdot {(- 8 i)}^{2}$
189336	Graph Using a Table of Values	f(x)=4x^2	$f (x) = 4 x^{2}$
189337	Combine Like Terms	(9x+1)-(-7x^2+4x+10)	$(9 x + 1) - (- 7 x^{2} + 4 x + 10)$
189338	Solve for r	4r-8=7r+5	$4 r - 8 = 7 r + 5$
189339	Find the Holes in the Graph	f(x)=(3x-15)/(3x^2-11x-20)	$f (x) = \frac{3 x - 15}{3 x^{2} - 11 x - 20}$
189340	Divide Using Long Polynomial Division	6x^3+2x^2+18x+26 by x^2+3	$6 x^{3} + 2 x^{2} + 18 x + 26$ by $x^{2} + 3$
189341	Divide	(6x^3)÷3x	$6 x^{3} \div 3 x$
189342	Find the Perpendicular Line	(2,7) and perpendicular to 3x+5y=1	$(2, 7)$ and perpendicular to $3 x + 5 y = 1$
189343	Solve for x	2/(x-1)=4	$\frac{2}{x - 1} = 4$
189344	Factor	x^3-x^2-14x+24=0	$x^{3} - x^{2} - 14 x + 24 = 0$
189345	Solve the System of Inequalities	3x+4>=13 or 2x-1<=-11	$3 x + 4 \geq 13$ or $2 x - 1 \leq - 11$
189346	Solve the System of Equations	5y=15x-40 y=3x-8	$5 y = 15 x - 40$ $y = 3 x - 8$
189347	Graph	p(x)=3x(x-2)(2x-7)	$p (x) = 3 x (x - 2) (2 x - 7)$
189348	Write the Fraction in Simplest Form	1/(1-sin(theta))+1/(1+sin(theta))	$\frac{1}{1 - \sin (θ)} + \frac{1}{1 + \sin (θ)}$
189349	Solve the System of Equations	2x=3y-5 and 5x+6y=28	$2 x = 3 y - 5$ and $5 x + 6 y = 28$
189350	Solve for a	a/(a+b)=c	$\frac{a}{a + b} = c$
189351	Find the Exact Value	sin(45 degrees )+cos(30 degrees )	$\sin (45 °) + \cos (30 °)$
189352	Evaluate	1/( square root of 1-(1/2)^2)	$\frac{1}{\sqrt{1 - {(\frac{1}{2})}^{2}}}$
189353	Find the Roots (Zeros)	x-4	$x - 4$
189354	Simplify	(96x^2yz^4)/(144y^2z^5)	$\frac{96 x^{2} y z^{4}}{144 y^{2} z^{5}}$
189355	Solve for x	-1>=-1+x	$- 1 \geq - 1 + x$
189356	Find All Complex Solutions	2cos(2x)- square root of 3=0	$2 \cos (2 x) - \sqrt{3} = 0$
189357	Find the Exponential Function	(0,-5) and (4,-80)	$(0, - 5)$ and $(4, - 80)$
189358	Solve the System of Equations	1/3x+1/2y=10 1/5x-3y=-3/5	$\frac{1}{3} x + \frac{1}{2} y = 10$ $\frac{1}{5} x - 3 y = - \frac{3}{5}$
189359	Solve the Inequality for x	-1/2x>=4 ?	$- \frac{1}{2} x \geq 4$ ?
189360	Solve for θ	cos(theta)^2-1=0	$\cos^{2} (θ) - 1 = 0$
189361	Solve for y	-1/y+1/(2y)=2/(y-15)	$- \frac{1}{y} + \frac{1}{2 y} = \frac{2}{y - 15}$
189362	Simplify	(3n^2+9+5n^4-3n)+(-9n^4-7-5n^2)	$(3 n^{2} + 9 + 5 n^{4} - 3 n) + (- 9 n^{4} - 7 - 5 n^{2})$
189363	Simplify	(5 square root of 3)/(10 square root of 8)	$\frac{5 \sqrt{3}}{10 \sqrt{8}}$
189364	Solve for h	-9=-h/12+5	$- 9 = - \frac{h}{12} + 5$
189365	Solve for x	x^2=x+20	$x^{2} = x + 20$
189366	Solve for x	x/(x-8)+5/(x-7)=x/(x^2-15x+56)	$\frac{x}{x - 8} + \frac{5}{x - 7} = \frac{x}{x^{2} - 15 x + 56}$
189367	Convert to Rectangular	r=2(sin(theta)-cos(theta))	$r = 2 (\sin (θ) - \cos (θ))$
189368	Find the Exact Value	sin(30 degrees )^2+cos(60 degrees )^2	$\sin^{2} (30 °) + \cos^{2} (60 °)$
189369	Solve for x	-1-3/2x=7+1/2(8x-4)-2x	$- 1 - \frac{3}{2} x = 7 + \frac{1}{2} (8 x - 4) - 2 x$
189370	Solve for x	\|x-1/6\|<1/3	$\| x - \frac{1}{6} \| < \frac{1}{3}$
189371	Simplify	((x+3)/(x^2-9))÷((x+2)/(x^2-6x+9))	$\frac{x + 3}{x^{2} - 9} \div \frac{x + 2}{x^{2} - 6 x + 9}$
189372	Simplify	-5/8+(-8/5)	$- \frac{5}{8} + (- \frac{8}{5})$
189373	Simplify	(3-5)/(4-1)	$\frac{3 - 5}{4 - 1}$
189374	Simplify	9-2(3-8*-2)	$9 - 2 (3 - 8 \cdot - 2)$
189375	Solve for y	log base y of 32=5	$\log_{y} (32) = 5$
189376	Solve the Inequality for x	\|3x+6\|-9>3	$\| 3 x + 6 \| - 9 > 3$
189377	Graph	g(x)=x^2,x<0; 1/2x,0<x<=4; x,x>4	$g (x) = {\begin{cases} x^{2}, x < 0 \\ \frac{1}{2} x, 0 < x \leq 4 \\ x, x > 4 \end{cases}$
189378	Write the Fraction in Simplest Form	((3^6)/(y^-5))^2	${(\frac{3^{6}}{y^{- 5}})}^{2}$
189379	Simplify	(4x^2+x-2)(x^2+x+2)	$(4 x^{2} + x - 2) (x^{2} + x + 2)$
189380	Solve for x	13=15-4x	$13 = 15 - 4 x$
189381	Solve for g	-9g-3=-3(3g+2)	$- 9 g - 3 = - 3 (3 g + 2)$
189382	Solve the Inequality for x	-x^2+25<0	$- x^{2} + 25 < 0$
189383	Subtract	Subtract -2x^2-6x+10 from -2x^2+9	Subtract $- 2 x^{2} - 6 x + 10$ from $- 2 x^{2} + 9$
189384	Write in Standard Form	log base 7 of x+ log base 7 of 6x-1=1	$\log_{7} (x) + \log_{7} (6 x - 1) = 1$
189385	Find the Roots (Zeros)	f(x)=x^2-x^7	$f (x) = x^{2} - x^{7}$
189386	Solve for x	2x(4x-5)(x^2-81)=0	$2 x (4 x - 5) (x^{2} - 81) = 0$
189387	Solve for x	7/(2x)-5/(3x)=22/3	$\frac{7}{2 x} - \frac{5}{3 x} = \frac{22}{3}$
189388	Find the Holes in the Graph	(-2x^2-4x)/(4x+8)	$\frac{- 2 x^{2} - 4 x}{4 x + 8}$
189389	Solve for x	3/x-1=8	$\frac{3}{x} - 1 = 8$
189390	Find the Distance Between Two Points	(-2,-9) and (7,3)	$(- 2, - 9)$ and $(7, 3)$
189391	Graph Using a Table of Values	f(x) = log base 5 of x	$f (x) = \log_{5} (x)$
189392	Graph	y = log of 1/2x	$y = \log (\frac{1}{2} x)$
189393	Find the Domain and Range	y=-x^2+6x	$y = - x^{2} + 6 x$
189394	Solve for d	3(d+11)=6(d+33)	$3 (d + 11) = 6 (d + 33)$
189395	Find the Exact Value	1/2*3	$\frac{1}{2} \cdot 3$
189396	Evaluate	2 1/3+(-1 2/3)	$2 \frac{1}{3} + (- 1 \frac{2}{3})$
189397	Solve for x	x/(p^3)=1	$\frac{x}{p^{3}} = 1$
189398	Solve for x	x^4+16=0	$x^{4} + 16 = 0$
189399	Solve for n	a(n-3)+8=bn for n	$a (n - 3) + 8 = b n$ for $n$
189400	Find the Degree, Leading Term, and Leading Coefficient	f(x)=4x+8x^4-7x^3	$f (x) = 4 x + 8 x^{4} - 7 x^{3}$