Mathway | Popular Problems

Popular Problems

Rank	Topic	Problem	Formatted Problem
233301	Simplify	(1-x+4x^2-8x^3)+(2x^3+x^2-6x-3)-(5x^3+8x^2)	$(1 - x + 4 x^{2} - 8 x^{3}) + (2 x^{3} + x^{2} - 6 x - 3) - (5 x^{3} + 8 x^{2})$
233302	Solve the Inequality for x	-(5x)/6>=22	$- \frac{5 x}{6} \geq 22$
233303	Divide Using Long Polynomial Division	8x^3+24x^2+24x+7 divided by 2x+1	$8 x^{3} + 24 x^{2} + 24 x + 7$ divided by $2 x + 1$
233304	Solve for B	3B-2=10	$3 B - 2 = 10$
233305	Solve the Inequality for k	k-17<=-(17-k)	$k - 17 \leq - (17 - k)$
233306	Solve the Inequality for n	12n>135+4.50n	$12 n > 135 + 4.5 n$
233307	Solve for F	R = square root of (Fx)^2+(Fy)^2	$R = \sqrt{{(F x)}^{2} + {(F y)}^{2}}$
233308	Factor	y=x^3+3x^2-10x	$y = x^{3} + 3 x^{2} - 10 x$
233309	Simplify	((x-2)/(x^2+x-6))÷((x^2+5x+4)/(x+4))	$\frac{x - 2}{x^{2} + x - 6} \div \frac{x^{2} + 5 x + 4}{x + 4}$
233310	Simplify	(8d-3)/9+(4d+12)/9	$\frac{8 d - 3}{9} + \frac{4 d + 12}{9}$
233311	Solve for θ	-90 degrees <=theta<=90 degrees	$- 90 ° \leq θ \leq 90 °$
233312	Determine if a Polynomial	x^2+6x^3-4+2x^5	$x^{2} + 6 x^{3} - 4 + 2 x^{5}$
233313	Divide Using Long Polynomial Division	6x^3+25x^2+18x+14 is divided by 2x+7	$6 x^{3} + 25 x^{2} + 18 x + 14$ is divided by $2 x + 7$
233314	Solve for x	4x+2(2x-3)=4(2x-2)+2	$4 x + 2 (2 x - 3) = 4 (2 x - 2) + 2$
233315	Solve for m	cube root of 3m+1=4	$\sqrt[3]{3 m + 1} = 4$
233316	Solve for x	e^(2x+1)=1-2x	$e^{2 x + 1} = 1 - 2 x$
233317	Solve for h	B/4=V/h	$\frac{B}{4} = \frac{V}{h}$
233318	Solve for k	log of -4k = log of 3k+10	$\log (- 4 k) = \log (3 k + 10)$
233319	Find the Exact Value	cos(-540 degrees )	$\cos (- 540 °)$
233320	Evaluate	(1^2+4)*6-(5-4)	$(1^{2} + 4) \cdot 6 - (5 - 4)$
233321	Find the Roots (Zeros)	y=4x^6-12x^5-x^4+2x^3-6x^2-5x+10	$y = 4 x^{6} - 12 x^{5} - x^{4} + 2 x^{3} - 6 x^{2} - 5 x + 10$
233322	Graph	f(x)+f(x+1)=x^2+2x+3	$f (x) + f (x + 1) = x^{2} + 2 x + 3$
233323	Find the Exact Value	4/3(sin(255)+sin(15))	$\frac{4}{3} (\sin (255) + \sin (15))$
233324	Graph	y=1/2sec(2x-pi)	$y = \frac{1}{2} \sec (2 x - π)$
233325	Find the Axis of Symmetry	y=-1/12x^2	$y = - \frac{1}{12} x^{2}$
233326	Find the Exact Value	7+102^2-23	$7 + 10 \cdot 2^{2} - 2 \cdot 3$
233327	Write in Exponential Form	cube root of square root of 2x	$\sqrt[3]{\sqrt{2 x}}$
233328	Solve for x	(3x+8)/(x-4)>=0	$\frac{3 x + 8}{x - 4} \geq 0$
233329	Evaluate	-(-2)^4+8(-2)^2+5	$- {(- 2)}^{4} + 8 {(- 2)}^{2} + 5$
233330	Find the x and y Intercepts	4=x-y	$4 = x - y$
233331	Divide	(24mn^6-40m^2n^3)/(4m^2n^3)	$\frac{24 m n^{6} - 40 m^{2} n^{3}}{4 m^{2} n^{3}}$
233332	Solve for b	-95=5(1+5b)	$- 95 = 5 (1 + 5 b)$
233333	Expand the Logarithmic Expression	natural log of a^2 square root of a-1	$\ln (a^{2} \sqrt{a - 1})$
233334	Solve for b	3=3/4(b-8)	$3 = \frac{3}{4} (b - 8)$
233335	Graph	y=-1/3x+2 y+4=-4/3x	$y = - \frac{1}{3} x + 2$ $y + 4 = - \frac{4}{3} x$
233336	Multiply	(1+4x+3x^2)(2-7x-9x^2)	$(1 + 4 x + 3 x^{2}) (2 - 7 x - 9 x^{2})$
233337	Divide	(5 square root of x^7)÷( square root of x^4)	$5 \sqrt{x^{7}} \div \sqrt{x^{4}}$
233338	Write in Standard Form	y+1=(3^(x+1))^2	$y + 1 = {(3^{x + 1})}^{2}$
233339	Solve the Inequality for x	7^x> cube root of 7	$7^{x} > \sqrt[3]{7}$
233340	Simplify	1/6x+15+1/6x	$\frac{1}{6} x + 15 + \frac{1}{6} x$
233341	Graph	x<=-3 or x>=5	$x \leq - 3$ or $x \geq 5$
233342	Solve for g	1/2(6g+2)=12	$\frac{1}{2} (6 g + 2) = 12$
233343	Solve for x	x+1=4/(x+1)	$x + 1 = \frac{4}{x + 1}$
233344	Find the Roots (Zeros)	f(x)=x^4-2x^2	$f (x) = x^{4} - 2 x^{2}$
233345	Simplify	(2 square root of a^2b)(3 square root of b)	$(2 \sqrt{a^{2} b}) (3 \sqrt{b})$
233346	Factor	(6x+12)/10	$\frac{6 x + 12}{10}$
233347	Simplify	(x^2y+xy^2+y^3)/((x^2)/y-(y^2)/x)	$\frac{x^{2} y + x y^{2} + y^{3}}{\frac{x^{2}}{y} - \frac{y^{2}}{x}}$
233348	Find the Inverse	y=2 cube root of x-5	$y = 2 \sqrt[3]{x - 5}$
233349	Solve for v	E=1/2mv^2+mgh	$E = \frac{1}{2} m v^{2} + mg h$
233350	Multiply	(m^2-n^2)/(4m+4n)*(m+n)/(m-n)	$\frac{m^{2} - n^{2}}{4 m + 4 n} \cdot \frac{m + n}{m - n}$
233351	Solve the Inequality for g	g/5>=-2	$\frac{g}{5} \geq - 2$
233352	Simplify the Radical Expression	( square root of 2+ square root of 3)( square root of 5- square root of 7)	$(\sqrt{2} + \sqrt{3}) (\sqrt{5} - \sqrt{7})$
233353	Simplify	(17a^8b^16c^24d^2)/(3a^4d^2)	$\frac{17 a^{8} b^{16} c^{24} d^{2}}{3 a^{4} d^{2}}$
233354	Write in Standard Form	(3x^2-5x)-(x^2+4x+3)	$(3 x^{2} - 5 x) - (x^{2} + 4 x + 3)$
233355	Simplify	( cube root of 81x)/( cube root of 3)	$\frac{\sqrt[3]{81 x}}{\sqrt[3]{3}}$
233356	Graph	-22>-10+b	$- 22 > - 10 + b$
233357	Evaluate the Function	f(6)=x^2+3x-x/2	$f (6) = x^{2} + 3 x - \frac{x}{2}$
233358	Simplify	(6-r^2+5r^3)+(8r^2-r^3+4)-(3r^3-r^2-4)	$(6 - r^{2} + 5 r^{3}) + (8 r^{2} - r^{3} + 4) - (3 r^{3} - r^{2} - 4)$
233359	Solve for x	1/2+x=1/3+x	$\frac{1}{2} + x = \frac{1}{3} + x$
233360	Solve the Inequality for x	3^(6x+18)<27^(3x)	$3^{6 x + 18} < 27^{3 x}$
233361	Find the x and y Intercepts	f(x)=(2x^3+8x^2-10x)/(2x^2+2x)	$f (x) = \frac{2 x^{3} + 8 x^{2} - 10 x}{2 x^{2} + 2 x}$
233362	Solve the Inequality for x	6/7>-2x-8/7	$\frac{6}{7} > - 2 x - \frac{8}{7}$
233363	Find All Complex Solutions	x(x-2)-5=0	$x (x - 2) - 5 = 0$
233364	Graph	2(x+1)^2(x-3)^4(x-7)	$2 {(x + 1)}^{2} {(x - 3)}^{4} (x - 7)$
233365	Multiply	(x-2)/(x+3)*(x^2-9)/(4x-8)	$\frac{x - 2}{x + 3} \cdot \frac{x^{2} - 9}{4 x - 8}$
233366	Simplify	(x-4)+(-2x+1)	$(x - 4) + (- 2 x + 1)$
233367	Solve for f	-94f=-90+5(-18f-58)	$- 94 f = - 90 + 5 (- 18 f - 58)$
233368	Solve for x	x/2=3y^2	$\frac{x}{2} = 3 y^{2}$
233369	Solve for x	(x,2) and (6,3) , m=-1/2	$(x, 2)$ and $(6, 3)$ , $m = - \frac{1}{2}$
233370	Solve for x	x-3(2-3x)=2(5x-3)	$x - 3 (2 - 3 x) = 2 (5 x - 3)$
233371	Simplify	((x^2+1)^2)^2	${({(x^{2} + 1)}^{2})}^{2}$
233372	Multiply	5 square root of 14z^2*4 square root of 21z^3	$5 \sqrt{14 z^{2}} \cdot 4 \sqrt{21 z^{3}}$
233373	Solve the System of Inequalities	y<=1/2x+3 y<=3x-4	$y \leq \frac{1}{2} x + 3$ $y \leq 3 x - 4$
233374	Identify the Sequence	5 , 20 , 80 , 320 ; dots	$5$ , $20$ , $80$ , $320$ ; dots
233375	Evaluate	5 square root of 14z^2*4 square root of 21z^3	$5 \sqrt{14 z^{2}} \cdot 4 \sqrt{21 z^{3}}$
233376	Multiply	( square root of 3)( cube root of 3)	$(\sqrt{3}) (\sqrt[3]{3})$
233377	Simplify the Radical Expression	-6 square root of 112x^3-8x square root of 175x	$- 6 \sqrt{112 x^{3}} - 8 x \sqrt{175 x}$
233378	Identify the Zeros and Their Multiplicities	f(x)=-2x^2(2x-1)^3(4x+3)	$f (x) = - 2 x^{2} {(2 x - 1)}^{3} (4 x + 3)$
233379	Simplify	1/(i^-26)	$\frac{1}{i^{- 26}}$
233380	Solve for x	43=40+ square root of 0.001x+1	$43 = 40 + \sqrt{0.001 x + 1}$
233381	Evaluate	(x+y)/(x-y)+1/(x+y)-(x^2+y^2)/(x^2-y^2)	$\frac{x + y}{x - y} + \frac{1}{x + y} - \frac{x^{2} + y^{2}}{x^{2} - y^{2}}$
233382	Graph	3^m+3^(-)*3=3^5	$3^{m} + 3^{-} \cdot 3 = 3^{5}$
233383	Simplify	(r^2+s^2)-(5r^2+4s^2)	$(r^{2} + s^{2}) - (5 r^{2} + 4 s^{2})$
233384	Write the Fraction in Simplest Form	-5/12-(-9/3)	$- \frac{5}{12} - (- \frac{9}{3})$
233385	Divide	5n^2-11mn+6m^2 entre m-n	$5 n^{2} - 11 m n + 6 m^{2}$ entre $m - n$
233386	Simplify the Radical Expression	fourth root of 3^2	$\sqrt[4]{3^{2}}$
233387	Evaluate Using the Given Value	Solve A=1/2bh for b	Solve $A = \frac{1}{2} b h$ for $b$
233388	Simplify	(7x^5-4x^4+3x^2-5)+(-4x^4-2x^2-x+1)	$(7 x^{5} - 4 x^{4} + 3 x^{2} - 5) + (- 4 x^{4} - 2 x^{2} - x + 1)$
233389	Describe the Transformation	y=-1/5 cube root of x+2	$y = - \frac{1}{5} \sqrt[3]{x} + 2$
233390	Solve for x	1=2pi square root of x/9.8	$1 = 2 π \sqrt{\frac{x}{9.8}}$
233391	Solve for f	f(0)=2 and f(2)=4	$f (0) = 2$ and $f (2) = 4$
233392	Identify the Sequence	3 , 15 , 75 , 375 ; dots	$3$ , $15$ , $75$ , $375$ ; dots
233393	Solve for x	cos(pi/6+x)+sin(pi/3+x)=0	$\cos (\frac{π}{6} + x) + \sin (\frac{π}{3} + x) = 0$
233394	Solve the System of Equations	x+2y-6z=4 x-3y+9z=9 -x-3y+7z=-1	$x + 2 y - 6 z = 4$ $x - 3 y + 9 z = 9$ $- x - 3 y + 7 z = - 1$
233395	Simplify	(5z^4)(4z^3)(2z)	$(5 z^{4}) (4 z^{3}) (2 z)$
233396	Multiply	14xy^4(-14y)	$14 x y^{4} (- 14 y)$
233397	Solve the Inequality for t	2<10+t	$2 < 10 + t$
233398	Simplify	(2+ square root of -8)/(1+i)	$\frac{2 + \sqrt{- 8}}{1 + i}$
233399	Solve for x	-8x+(2x-6)+(x+15)=12	$- 8 x + (2 x - 6) + (x + 15) = 12$
233400	Divide Using Long Polynomial Division	Use the long division method to find the result when 2x^3+13x^2+18x+6 is divided by 2x+1	Use the long division method to find the result when $2 x^{3} + 13 x^{2} + 18 x + 6$ is divided by $2 x + 1$