Mathway | Recent Popular Problems

Recent Popular Problems

Rank	Topic	Problem	Formatted Problem
13301	Solve for x	8x+13=7x+5x-11	$8 x + 13 = 7 x + 5 x - 11$
13302	Simplify	17j^2-12k^2+3j^2-15j^2+14k^2	$17 j^{2} - 12 k^{2} + 3 j^{2} - 15 j^{2} + 14 k^{2}$
13303	Evaluate	20% of 10	$20 %$ of $10$
13304	Simplify	(5^-1(-2)^-3)/(8^-2)	$\frac{5^{- 1} {(- 2)}^{- 3}}{8^{- 2}}$
13305	Simplify	square root of 2a+2 square root of 8a^3+2a square root of 1/2a	$\sqrt{2 a} + 2 \sqrt{8 a^{3}} + 2 a \sqrt{\frac{1}{2} a}$
13306	Solve the System of Inequalities	8-3x>5 and x-5>=10	$8 - 3 x > 5$ and $x - 5 \geq 10$
13307	Simplify	7k^2(-2k)(4k^-5)^0	$7 k^{2} (- 2 k) {(4 k^{- 5})}^{0}$
13308	Graph	g(x)=f(x)+1/3	$g (x) = f (x) + \frac{1}{3}$
13309	Solve the Inequality for y	30<5(8-y)	$30 < 5 (8 - y)$
13310	Factor	24x^2-15=54x	$24 x^{2} - 15 = 54 x$
13311	Evaluate	4(3+1/4c-1/2d)	$4 (3 + \frac{1}{4} c - \frac{1}{2} d)$
13312	Solve for x	square root of x=1/4	$\sqrt{x} = \frac{1}{4}$
13313	Solve for z	2/3z=4 1/4	$\frac{2}{3} z = 4 \frac{1}{4}$
13314	Write in Standard Form	(8x-x^3+4-9x^2)+(7x^3+9x^2-10-8x)	$(8 x - x^{3} + 4 - 9 x^{2}) + (7 x^{3} + 9 x^{2} - 10 - 8 x)$
13315	Simplify	(6c^2d-14cd^2+2d^3)/2	$\frac{6 c^{2} d - 14 c d^{2} + 2 d^{3}}{2}$
13316	Solve the Function Operation	f(x)=x^2-4x+32 ; at (3,0) , t^3	$f (x) = x^{2} - 4 x + 32$ ; at $(3, 0)$ , $t^{3}$
13317	Simplify	( square root of 5+2)(4- square root of 5)	$(\sqrt{5} + 2) (4 - \sqrt{5})$
13318	Simplify	(1/p+2/3)/(1/p)	$\frac{\frac{1}{p} + \frac{2}{3}}{\frac{1}{p}}$
13319	Describe the Transformation	F(x)=2^x+3	$F (x) = 2^{x} + 3$
13320	Find the Exact Value	cube root of 64^2	$\sqrt[3]{64^{2}}$
13321	Solve for x	natural log of 5+ natural log of 2x=5	$\ln (5) + \ln (2 x) = 5$
13322	Find dy/dx	tan(x^2y^4)=3x+y^2	$\tan (x^{2} y^{4}) = 3 x + y^{2}$
13323	Multiply	square root of 3*2 square root of 2	$\sqrt{3} \cdot 2 \sqrt{2}$
13324	Determine if True	tan(theta)^2+1=sec(theta)^2	$\tan^{2} (θ) + 1 = \sec^{2} (θ)$
13325	Graph	y=x^2 and y=x^2-3	$y = x^{2}$ and $y = x^{2} - 3$
13326	Solve for p	1/2+p=-3	$\frac{1}{2} + p = - 3$
13327	Simplify	((14w^12)/(7w^3))^-1	${(\frac{14 w^{12}}{7 w^{3}})}^{- 1}$
13328	Simplify	(a-2b)/(3b)-(b-2a)/(3a)	$\frac{a - 2 b}{3 b} - \frac{b - 2 a}{3 a}$
13329	Graph	x-y=-2 -x+y=2	$x - y = - 2$ $- x + y = 2$
13330	Graph	y=3/5x+7 y=1/5x+5	$y = \frac{3}{5} x + 7$ $y = \frac{1}{5} x + 5$
13331	Simplify	(5x^-2y^5)/(10x^4(y^-2)^4)	$\frac{5 x^{- 2} y^{5}}{10 x^{4} {(y^{- 2})}^{4}}$
13332	Write in Standard Form	(3x^2-10x+4)+(10x^2-5x+8)	$(3 x^{2} - 10 x + 4) + (10 x^{2} - 5 x + 8)$
13333	Solve the System of Equations	2x-y=4 y-x=4	$2 x - y = 4$ $y - x = 4$
13334	Solve the Rational Equation for x	5x = square root of 10+15x	$5 x = \sqrt{10 + 15 x}$
13335	Find the GCF	14 and 28	$14$ and $28$
13336	Simplify	(x^2-2x-8)/(9x)*(3x^3)/(x^2-4x)	$\frac{x^{2} - 2 x - 8}{9 x} \cdot \frac{3 x^{3}}{x^{2} - 4 x}$
13337	Find the Asymptotes	F(x)=3^(x-2)+1	$F (x) = 3^{x - 2} + 1$
13338	Simplify	(3x^3)^3(x^5)^4	${(3 x^{3})}^{3} {(x^{5})}^{4}$
13339	Solve the Inequality for x	3x^2+166<45x+4	$3 x^{2} + 166 < 45 x + 4$
13340	Simplify	(4 square root of 5-1)(3+2 square root of 5)	$(4 \sqrt{5} - 1) (3 + 2 \sqrt{5})$
13341	Evaluate the Function	g(2y)=x^2	$g (2 y) = x^{2}$
13342	Simplify	log base 3 of 5* log base 2 of 3* log base 5 of 16	$\log_{3} (5) \cdot \log_{2} (3) \cdot \log_{5} (16)$
13343	Factor	f(x)=7x^4-56x	$f (x) = 7 x^{4} - 56 x$
13344	Evaluate	(cos(50 degrees ))/(sin(50 degrees ))	$\frac{\cos (50 °)}{\sin (50 °)}$
13345	Simplify	(4x cube root of 6)/(5 cube root of 9x)	$\frac{4 x \sqrt[3]{6}}{5 \sqrt[3]{9 x}}$
13346	Solve for y	log base 3 of (1+y)^2=2	$\log_{3} ({(1 + y)}^{2}) = 2$
13347	Evaluate	square root of x=x-2	$\sqrt{x} = x - 2$
13348	Solve for x	(x^2-25)/((x+2)(x-2))=0	$\frac{x^{2} - 25}{(x + 2) (x - 2)} = 0$
13349	Find the Derivative - d/dx	y=((x^6+4)(bx-4))/(x^5)	$y = \frac{(x^{6} + 4) (b x - 4)}{x^{5}}$
13350	Simplify	3/(8x)+1/4	$\frac{3}{8 x} + \frac{1}{4}$
13351	Simplify	1/((48x^3y^4)^-2)	$\frac{1}{{(48 x^{3} y^{4})}^{- 2}}$
13352	Solve for x	2/x=x/(4x-6)	$\frac{2}{x} = \frac{x}{4 x - 6}$
13353	Solve the Function Operation	f(x)=-x+1 if x!=4; 6 if x=4 Find f(-5)	$f (x) = {\begin{cases} - x + 1 & x \neq 4 \\ 6 & x = 4 \end{cases}$ Find $f (- 5)$
13354	Find the Exact Value	log of 2+ log of 5	$\log (2) + \log (5)$
13355	Factor	(7x-6)^2+x5(7x-6)7	${(7 x - 6)}^{2} + x \cdot 5 (7 x - 6) \cdot 7$
13356	Solve for s	2s+3=20-1	$2 s + 3 = 20 - 1$
13357	Solve for f	f-5 = square root of f-3	$f - 5 = \sqrt{f - 3}$
13358	Solve the Inequality for x	5 1/2>=1.6x	$5 \frac{1}{2} \geq 1.6 x$
13359	Solve for x	tan(3x)(tan(x)-1)=0	$\tan (3 x) (\tan (x) - 1) = 0$
13360	Solve for X	\|X\|-7=6	$\| X \| - 7 = 6$
13361	Solve the Inequality for d	23+d>35	$23 + d > 35$
13362	Solve the System of Equations	x^2+2y=30 2x+y=15	$x^{2} + 2 y = 30$ $2 x + y = 15$
13363	Simplify	-2ab(5b^2c)^3	$- 2 a b {(5 b^{2} c)}^{3}$
13364	Evaluate the Integral	integral from 0 to x^3 of f(t) with respect to t=x^4	$\int_{0}^{x^{3}} f (t) d t = x^{4}$
13365	Find the Reference Angle	tan(-225 degrees )	$\tan (- 225 °)$
13366	Simplify	2/5cd^2-1/3cd^2	$\frac{2}{5} c d^{2} - \frac{1}{3} c d^{2}$
13367	Multiply	5xy(6x-y)	$5 x y (6 x - y)$
13368	Solve for m	5 square root of m-1=40	$5 \sqrt{m - 1} = 40$
13369	Simplify	(ma-mb)/(3n^2)*(2m)/(nb-na)	$\frac{m a - m b}{3 n^{2}} \cdot \frac{2 m}{n b - n a}$
13370	Solve for x	9 cube root of (x-7)^4=9	$9 \sqrt[3]{{(x - 7)}^{4}} = 9$
13371	Find the Product	-4x(2x^2-3x+5)	$- 4 x (2 x^{2} - 3 x + 5)$
13372	Simplify	(2x)/(x^2+6x+9)(4x^3-24x^2-108x)/(x-9)(x^3+9x^2+18x)/(x+6)	$\frac{2 x}{x^{2} + 6 x + 9} \cdot \frac{4 x^{3} - 24 x^{2} - 108 x}{x - 9} \cdot \frac{x^{3} + 9 x^{2} + 18 x}{x + 6}$
13373	Convert from Degrees to Radians	105deg	$105$ degrees
13374	Find the Roots (Zeros)	f(x)=-x(x+2)(x-2)(x+1)	$f (x) = - x (x + 2) (x - 2) (x + 1)$
13375	Solve for a	81^(a+2)=3^(3a+1)	$81^{a + 2} = 3^{3 a + 1}$
13376	Simplify	fourth root of (3a^2)/(8b^7)	$\sqrt[4]{\frac{3 a^{2}}{8 b^{7}}}$
13377	Solve for m	(m+3)(m-4)=-6	$(m + 3) (m - 4) = - 6$
13378	Solve for x	5 square root of x+2>17	$5 \sqrt{x} + 2 > 17$
13379	Simplify	(6a^2-5a)+(a-5a+3a^3)	$(6 a^{2} - 5 a) + (a - 5 a + 3 a^{3})$
13380	Solve the Inequality for r	r/-2<-6	$\frac{r}{- 2} < - 6$
13381	Solve for x	square root of x+7- square root of 8x=-1	$\sqrt{x + 7} - \sqrt{8 x} = - 1$
13382	Solve for x	x+3+2x=-1+3x+4	$x + 3 + 2 x = - 1 + 3 x + 4$
13383	Graph	f(x)<-2 square root of x+3	$f (x) < - 2 \sqrt{x + 3}$
13384	Evaluate the Limit	limit as x approaches 2 of (x^2-2x)/(x^2+x-6)	$lim_{x \to 2} \frac{x^{2} - 2 x}{x^{2} + x - 6}$
13385	Simplify	(xy+3x-2y-6)/(y^2+y-6)	$\frac{x y + 3 x - 2 y - 6}{y^{2} + y - 6}$
13386	Solve for z	(9z+5)^2=0	${(9 z + 5)}^{2} = 0$
13387	Solve for c	6.95-8c=24.95	$6.95 - 8 c = 24.95$
13388	Solve for x	log base 5 of 4x^2+2- log base 5 of x+5=0	$\log_{5} (4 x^{2} + 2) - \log_{5} (x + 5) = 0$
13389	Graph Using a Table of Values	f(x)=2^(x+1)+3	$f (x) = 2^{x + 1} + 3$
13390	Write in Standard Form	(y+4y^2-3)-(1+2y^2-5y-y^3)	$(y + 4 y^{2} - 3) - (1 + 2 y^{2} - 5 y - y^{3})$
13391	Simplify	(3^4d^(-3/4))/(3^2d^(3/4))	$\frac{3^{4} d^{- \frac{3}{4}}}{3^{2} d^{\frac{3}{4}}}$
13392	Solve for x	(y/2)-1=4^(x-1)	$(\frac{y}{2}) - 1 = 4^{x - 1}$
13393	Simplify	1/(9x^2-25)-1/(6x+10)	$\frac{1}{9 x^{2} - 25} - \frac{1}{6 x + 10}$
13394	Graph	2^(-)x	$2^{-} x$
13395	Subtract	(7x^5+4x^3-2x^2+12x+5)-(6x^4-9x^3+x^2-3)	$(7 x^{5} + 4 x^{3} - 2 x^{2} + 12 x + 5) - (6 x^{4} - 9 x^{3} + x^{2} - 3)$
13396	Find the Mass Percentages	NaClO_3	$N a C l O_{3}$
13397	Find the Slope and y-intercept	y/3-2x+4=5	$\frac{y}{3} - 2 x + 4 = 5$
13398	Solve for n	(18-n)^(1/2)=(n/8)^(1/2)	${(18 - n)}^{\frac{1}{2}} = {(\frac{n}{8})}^{\frac{1}{2}}$
13399	Simplify	(13x^3-13x^4)+(6xy^3-9x^3)-(x^4+12xy^3)	$(13 x^{3} - 13 x^{4}) + (6 x y^{3} - 9 x^{3}) - (x^{4} + 12 x y^{3})$
13400	Evaluate the Integral	integral of (3x^2-3x+6)/(4x^3-6x^2+24x) with respect to x	$\int \frac{3 x^{2} - 3 x + 6}{4 x^{3} - 6 x^{2} + 24 x} d x$