Mathway | Recent Popular Problems

Recent Popular Problems

Rank	Topic	Problem	Formatted Problem
4401	Integrate Using u-Substitution	integral of (2x)/(x^2+1) with respect to x	$\int \frac{2 x}{x^{2} + 1} d x$
4402	Graph	4x+3>15 or -6x>=12	$4 x + 3 > 15$ or $- 6 x \geq 12$
4403	Simplify	( square root of 3+ square root of 2)( square root of 3+ square root of 5)	$(\sqrt{3} + \sqrt{2}) (\sqrt{3} + \sqrt{5})$
4404	Solve for m	-6m=-8-7m	$- 6 m = - 8 - 7 m$
4405	Find the Asymptotes	f(X)=4(2)^x-6	$f (X) = 4 {(2)}^{x} - 6$
4406	Find the GCF	Find the GCF of 5b and 6b	Find the GCF of $5 b$ and $6 b$
4407	Evaluate the Summation	sum from i=1 to 7 of (3i-2)^2	$\sum_{i = 1}^{7} {(3 i - 2)}^{2}$
4408	Write in Standard Form	6+7x-4x^3+x^2	$6 + 7 x - 4 x^{3} + x^{2}$
4409	Solve for x	(1/7)^(3x^2+3x)=49^(-6x+3)	${(\frac{1}{7})}^{3 x^{2} + 3 x} = 49^{- 6 x + 3}$
4410	Expand Using Sum/Difference Formulas	2x(3x+2y)	$2 x (3 x + 2 y)$
4411	Solve for x	1/2(7x-6)=6x-10	$\frac{1}{2} (7 x - 6) = 6 x - 10$
4412	Write in Slope-Intercept Form	2x+3y<0	$2 x + 3 y < 0$
4413	Combine Like Terms	(x^2+10x)+(4x-1)	$(x^{2} + 10 x) + (4 x - 1)$
4414	Multiply	square root of 3( square root of 3+2)	$\sqrt{3} (\sqrt{3} + 2)$
4415	Factor	(x^3-y^3)/(x^2-y^2)	$\frac{x^{3} - y^{3}}{x^{2} - y^{2}}$
4416	Simplify	square root of 12* fifth root of 12^3	$\sqrt{12} \cdot \sqrt[5]{12^{3}}$
4417	Find the Domain	((7x^4)/(24y^5))÷((21x)/(12y^4))	$\frac{7 x^{4}}{24 y^{5}} \div \frac{21 x}{12 y^{4}}$
4418	Solve for r	-4+2r-5r=17	$- 4 + 2 r - 5 r = 17$
4419	Simplify	5c(2c^2-3c+4)+2c(7c-8)	$5 c (2 c^{2} - 3 c + 4) + 2 c (7 c - 8)$
4420	Simplify	(-2a^3*(-a^4))^2(-6a^2)	${(- 2 a^{3} \cdot (- a^{4}))}^{2} (- 6 a^{2})$
4421	Simplify	(-5cd)(-3c^4d)-(7c^2d^2)(2c^3)	$(- 5 c d) (- 3 c^{4} d) - (7 c^{2} d^{2}) (2 c^{3})$
4422	Simplify	(9^(2/3)*3^(5/3))/(6^2)	$\frac{9^{\frac{2}{3}} \cdot 3^{\frac{5}{3}}}{6^{2}}$
4423	Simplify	((128x^5)/(8x))^(1/4)	${(\frac{128 x^{5}}{8 x})}^{\frac{1}{4}}$
4424	Simplify	(2x^2+3x+7)-(4x-2x^2+9)	$(2 x^{2} + 3 x + 7) - (4 x - 2 x^{2} + 9)$
4425	Graph	(- square root of 3,-1)	$(- \sqrt{3}, - 1)$
4426	Solve for b	3ab-15b-7a+35=0	$3 a b - 15 b - 7 a + 35 = 0$
4427	Find All Complex Solutions	log base x of x+6=2	$\log_{x} (x + 6) = 2$
4428	Solve for x	6^(4x+7)*1/36=1	$6^{4 x + 7} \cdot \frac{1}{36} = 1$
4429	Solve for x	(2x)/15-1/6=x/5	$\frac{2 x}{15} - \frac{1}{6} = \frac{x}{5}$
4430	Solve for x	square root of x=-8+2 square root of x	$\sqrt{x} = - 8 + 2 \sqrt{x}$
4431	Simplify	( cube root of 6)÷( fourth root of 6)	$\sqrt[3]{6} \div \sqrt[4]{6}$
4432	Solve for y	x/(4-2x)=y/(2(x^2-4))	$\frac{x}{4 - 2 x} = \frac{y}{2 (x^{2} - 4)}$
4433	Simplify the Radical Expression	( square root of 2)/( square root of 6)	$\frac{\sqrt{2}}{\sqrt{6}}$
4434	Solve for θ in Degrees	sec(theta)=1	$\sec (θ) = 1$
4435	Solve for a	(x+a)(x-a)=x^2-16	$(x + a) (x - a) = x^{2} - 16$
4436	Simplify	2/(4^-1)	$\frac{2}{4^{- 1}}$
4437	Solve for a	3^x-3^(x-2)=a*3^x	$3^{x} - 3^{x - 2} = a \cdot 3^{x}$
4438	Simplify	(16/3)^(-3/4)	${(\frac{16}{3})}^{- \frac{3}{4}}$
4439	Evaluate	(12/4)^(4(10-8))+5	${(\frac{12}{4})}^{4 (10 - 8)} + 5$
4440	Simplify	9 square root of 2*3 square root of y	$9 \sqrt{2} \cdot 3 \sqrt{y}$
4441	Simplify	(-4x)/(12x-8)	$\frac{- 4 x}{12 x - 8}$
4442	Verify the Identity	(2sin(t)cos(t))/(sin(t)+cos(t))=sin(t)+cos(t)-1/(sin(t)+cos(t))	$\frac{2 \sin (t) \cos (t)}{\sin (t) + \cos (t)} = \sin (t) + \cos (t) - \frac{1}{\sin (t) + \cos (t)}$
4443	Solve the System of Inequalities	y-1>=7 or y+3<-1	$y - 1 \geq 7$ or $y + 3 < - 1$
4444	Evaluate	log base 3 of 27+ log base 1/16 of 2	$\log_{3} (27) + \log_{\frac{1}{16}} (2)$
4445	Solve for x	4 square root of 5x-20=16	$4 \sqrt{5 x - 20} = 16$
4446	Graph	y=-x y=2/5x-7	$y = - x$ $y = \frac{2}{5} x - 7$
4447	Multiply	( square root of 3+ square root of 5)^2	${(\sqrt{3} + \sqrt{5})}^{2}$
4448	Simplify	(x/2)((x+2)/3)	$(\frac{x}{2}) (\frac{x + 2}{3})$
4449	Solve for v	3(-0.2v+0.7)+0.3=-0.6(-v+10)	$3 (- 0.2 v + 0.7) + 0.3 = - 0.6 (- v + 10)$
4450	Simplify	cube root of square root of 243x^12	$\sqrt[3]{\sqrt{243 x^{12}}}$
4451	Evaluate	7x^4=56	$7 x^{4} = 56$
4452	Solve for x	2^(x+6)=2x+15	$2^{x + 6} = 2 x + 15$
4453	Simplify	5x^2+14y-9y+x^2-7x^2-y	$5 x^{2} + 14 y - 9 y + x^{2} - 7 x^{2} - y$
4454	Solve the System of Equations	8x+2y=-12 and 5x-y=4	$8 x + 2 y = - 12$ and $5 x - y = 4$
4455	Simplify	6 square root of 5+9 cube root of 3-5 square root of 5-4 cube root of 3	$6 \sqrt{5} + 9 \sqrt[3]{3} - 5 \sqrt{5} - 4 \sqrt[3]{3}$
4456	Find the Inverse	f(x)=-3 square root of (4x-7)/3	$f (x) = - 3 \sqrt{\frac{4 x - 7}{3}}$
4457	Find the Holes in the Graph	(5x^2+25x)/(-3x^2-21x-30)	$\frac{5 x^{2} + 25 x}{- 3 x^{2} - 21 x - 30}$
4458	Expand the Logarithmic Expression	log base x of 3m(4n)	$\log_{x} (3 m) (4 n)$
4459	Solve for x	square root of x=1/7	$\sqrt{x} = \frac{1}{7}$
4460	Simplify	x^3+x^3-x^3	$x^{3} + x^{3} - x^{3}$
4461	Factor	-6x^2y+10xy^2+4y^3	$- 6 x^{2} y + 10 x y^{2} + 4 y^{3}$
4462	Find the Exact Value	cos(pi/3)^2+sin(pi/3)^2	$\cos^{2} (\frac{π}{3}) + \sin^{2} (\frac{π}{3})$
4463	Find the Inflection Points	f(x)=x+3(x-1)^(1/3)	$f (x) = x + 3 {(x - 1)}^{\frac{1}{3}}$
4464	Simplify	((8r^5s^2)(3r^3s^4))/(12rs^4)+9r^7s^2	$\frac{(8 r^{5} s^{2}) (3 r^{3} s^{4})}{12 r s^{4}} + 9 r^{7} s^{2}$
4465	Evaluate	10-4÷2+3*4-1	$10 - 4 \div 2 + 3 \times 4 - 1$
4466	Solve the System of Inequalities	y>-2x+5 y<=x-3	$y > - 2 x + 5$ $y \leq x - 3$
4467	Solve by Substitution	x=5 2x+y=10	$x = 5$ $2 x + y = 10$
4468	Evaluate	(718+45)÷32	$(7 \cdot 18 + 45) \div 3 \cdot 2$
4469	Find the Domain and Range	f(x)=1/2 square root of x+3	$f (x) = \frac{1}{2} \sqrt{x} + 3$
4470	Find the Degree, Leading Term, and Leading Coefficient	f(x)=9x^4-8x+x^5+3x^2	$f (x) = 9 x^{4} - 8 x + x^{5} + 3 x^{2}$
4471	Factor	49x^2-(y+8x)^2	$49 x^{2} - {(y + 8 x)}^{2}$
4472	Solve for z	12-4z=-7z	$12 - 4 z = - 7 z$
4473	Graph Using a Table of Values	y=(2/3)^x+2	$y = {(\frac{2}{3})}^{x} + 2$
4474	Find the Antiderivative	2xcos(x^2)	$2 x \cos (x^{2})$
4475	Divide	(16n^5+4n^4+2n^3)÷8n	$(16 n^{5} + 4 n^{4} + 2 n^{3}) \div 8 n$
4476	Solve for x	square root of 3x+3- square root of 5x-1=0	$\sqrt{3 x + 3} - \sqrt{5 x - 1} = 0$
4477	Solve for k	fourth root of 8k+12-9=-11	$\sqrt[4]{8 k + 12} - 9 = - 11$
4478	Find the Third Derivative	y=e^x	$y = e^{x}$
4479	Simplify	((6a^3)(5a^9))/(-12a^14)	$\frac{(6 a^{3}) (5 a^{9})}{- 12 a^{14}}$
4480	Find the Quotient	(2x^3+x^2-11x+2)÷(x-2)	$(2 x^{3} + x^{2} - 11 x + 2) \div (x - 2)$
4481	Solve the System of Equations	2x+y=2 y=-2x-1	$2 x + y = 2$ $y = - 2 x - 1$
4482	Find the Product	(2m-3n)(m-5n)	$(2 m - 3 n) (m - 5 n)$
4483	Find the Degree, Leading Term, and Leading Coefficient	f(x)=-2x^4+3x^5-4x^3+9x^2+2x-5	$f (x) = - 2 x^{4} + 3 x^{5} - 4 x^{3} + 9 x^{2} + 2 x - 5$
4484	Multiply	-1/6(-3/5)	$- \frac{1}{6} (- \frac{3}{5})$
4485	Find the Exact Value	cos(60 degrees )+sin(45 degrees )	$\cos (60 °) + \sin (45 °)$
4486	Solve by Addition/Elimination	x+3y=5 x=-6y+14	$x + 3 y = 5$ $x = - 6 y + 14$
4487	Simplify	(9w^3)/(2w^5)+(3w^3)/(2w^5)	$\frac{9 w^{3}}{2 w^{5}} + \frac{3 w^{3}}{2 w^{5}}$
4488	Simplify the Radical Expression	cube root of 5/(3m)	$\sqrt[3]{\frac{5}{3 m}}$
4489	Solve by Addition/Elimination	5x=4y+8 3y=3x-3	$5 x = 4 y + 8$ $3 y = 3 x - 3$
4490	Solve for v	-19v=-20v-14	$- 19 v = - 20 v - 14$
4491	Simplify	4^(y+1)*4^(1-x)	$4^{y + 1} \cdot 4^{1 - x}$
4492	Simplify the Radical Expression	fourth root of 625x^2	$\sqrt[4]{625 x^{2}}$
4493	Simplify	square root of 2x* sixth root of 3x	$\sqrt{2 x} \cdot \sqrt[6]{3 x}$
4494	Simplify the Radical Expression	square root of x^5y^5*3 square root of 2x^7y^6	$\sqrt{x^{5} y^{5}} \cdot 3 \sqrt{2 x^{7} y^{6}}$
4495	Simplify	(6ab+5c)(6ab-5c)	$(6 a b + 5 c) (6 a b - 5 c)$
4496	Simplify	(5x+1)/(5x-20)+(x+17)/(20-5x)	$\frac{5 x + 1}{5 x - 20} + \frac{x + 17}{20 - 5 x}$
4497	Simplify the Radical Expression	0.04 square root of 72+0.05 square root of 98-1/5 square root of 50	$0.04 \sqrt{72} + 0.05 \sqrt{98} - \frac{1}{5} \sqrt{50}$
4498	Simplify	square root of 12-5 square root of 8-7 square root of 20	$\sqrt{12} - 5 \sqrt{8} - 7 \sqrt{20}$
4499	Solve for x	2x(x+4)+7=(x+8)+2x(x+1)+12	$2 x (x + 4) + 7 = (x + 8) + 2 x (x + 1) + 12$
4500	Evaluate the Limit	limit as x approaches 0 from the right of (1/x)^x	$lim_{x \to 0^{+}} {(\frac{1}{x})}^{x}$