85*q**2 + 405*q + 270.
-5*(q - 3)**3*(5*q + 2)
Suppose h**4/3 - 8*h**3 - h**2/3 + 8*h = 0. What is h?
-1, 0, 1, 24
Determine w, given that 8*w**5/13 - 32*w**4/13 - 54*w**3/13 + 162*w**2/13 + 216*w/13 = 0.
-3/2, 0, 3, 4
Factor -2*m**5/11 - 118*m**4/11 - 1680*m**3/11.
-2*m**3*(m + 24)*(m + 35)/11
Determine t so that 2*t**5/5 - 33*t**4/5 + 139*t**3/5 - 207*t**2/5 + 99*t/5 = 0.
0, 1, 3/2, 3, 11
Find f, given that -5*f**4 + 4885*f**3 + 9785*f**2 + 4895*f = 0.
-1, 0, 979
Suppose -x**3/6 - 2*x**2/3 - 5*x/6 - 1/3 = 0. What is x?
-2, -1
Determine f, given that 4*f**3 - 116*f**2 - 260*f + 372 = 0.
-3, 1, 31
Factor f**5 - f**4 - 15*f**3 + 9*f**2 + 54*f.
f*(f - 3)**2*(f + 2)*(f + 3)
Determine r so that -r**2/10 - 9*r/10 + 11/5 = 0.
-11, 2
Let v**2 + 107*v + 210 = 0. Calculate v.
-105, -2
Determine g so that g**4/3 - 62*g**3 + 2883*g**2 = 0.
0, 93
Factor p**2/2 + 8279*p + 68541841/2.
(p + 8279)**2/2
Find o, given that 2*o**3/13 + 32*o**2/13 - 2*o/13 - 32/13 = 0.
-16, -1, 1
Let 3*f**2/4 - 273*f/4 + 135/2 = 0. Calculate f.
1, 90
Factor -55*s**3 - 305*s**2 + 180*s + 180.
-5*(s - 1)*(s + 6)*(11*s + 6)
Factor 8*x**3/9 + 56*x**2/3 + 18*x + 40/9.
2*(x + 20)*(2*x + 1)**2/9
Factor f**4/3 - 11*f**3/3 - 4*f**2.
f**2*(f - 12)*(f + 1)/3
Suppose -4*q**5/5 - 776*q**4/5 - 34336*q**3/5 + 327208*q**2/5 + 6868*q - 326432/5 = 0. Calculate q.
-101, -1, 1, 8
Factor 2*u**4/7 + 10*u**3/7 - 38*u**2/7 - 130*u/7 + 300/7.
2*(u - 3)*(u - 2)*(u + 5)**2/7
Solve 2*g**3/3 - 20*g**2/3 + 14*g = 0.
0, 3, 7
Factor h**2 + 6*h + 5.
(h + 1)*(h + 5)
Solve -n**4/6 + 3*n**3/2 - 13*n**2/6 - 3*n/2 + 7/3 = 0 for n.
-1, 1, 2, 7
Factor -9*f**2/2 - 105*f/4.
-3*f*(6*f + 35)/4
Factor v**5/6 - 4*v**4/3 + 3*v**3 - 9*v/2.
v*(v - 3)**3*(v + 1)/6
Factor m**2/2 - 57*m/2 + 175.
(m - 50)*(m - 7)/2
Factor -2*f**4 - 168*f**3 - 320*f**2 + 672*f + 1312.
-2*(f - 2)*(f + 2)**2*(f + 82)
Determine m so that 8*m**3/5 - 238*m**2/5 - 308*m/5 - 62/5 = 0.
-1, -1/4, 31
Factor s**5/4 + 75*s**4/4 + 72*s**3 + 71*s**2.
s**2*(s + 2)**2*(s + 71)/4
Find x such that -x**4/6 + 8*x**3/3 + x**2/2 - 23*x/3 - 16/3 = 0.
-1, 2, 16
Factor 15*v**4 + 10*v**3 - 20*v**2 - 10*v + 5.
5*(v - 1)*(v + 1)**2*(3*v - 1)
Determine p, given that -5*p**5 + 85*p**3 - 180*p**2 + 100*p = 0.
-5, 0, 1, 2
Suppose 2*q**3/3 + 124*q**2/3 - 2*q/3 - 124/3 = 0. Calculate q.
-62, -1, 1
Determine r, given that -r**5 + 5*r**4 - 4*r**3 = 0.
0, 1, 4
Suppose -2*a**4/7 - 596*a**3/7 - 43802*a**2/7 + 89400*a/7 - 45000/7 = 0. Calculate a.
-150, 1
Suppose -4*a**5/5 - 272*a**4/5 + 1128*a**3/5 - 1712*a**2/5 + 1148*a/5 - 288/5 = 0. What is a?
-72, 1
Determine m so that m**4 - 45*m**3 + 85*m**2 + 45*m - 86 = 0.
-1, 1, 2, 43
Factor 2*f**2 + 1912*f - 3832.
2*(f - 2)*(f + 958)
Determine r so that 432*r**4/7 + 360*r**3/7 - 51*r**2 - 360*r/7 - 75/7 = 0.
-1, -5/12, 1
What is n in 3*n**3/5 + 9*n**2/5 - 138*n/5 + 216/5 = 0?
-9, 2, 4
Solve -6*t**4/5 + 26*t**3/5 + 9346*t**2/5 + 6206*t/5 - 3108/5 = 0.
-37, -1, 1/3, 42
Factor o**3/2 - 533*o**2/2 + 531*o.
o*(o - 531)*(o - 2)/2
Factor 2*j**2/3 + 956*j/3 + 114242/3.
2*(j + 239)**2/3
Find p, given that p**3/7 + 104*p**2/7 + 404*p/7 + 400/7 = 0.
-100, -2
Find n, given that -2*n**2/15 - 4448*n/15 - 2473088/15 = 0.
-1112
Factor -4*q**2/5 + 172*q/5.
-4*q*(q - 43)/5
Determine f, given that f**3 - 365*f**2 + 727*f - 363 = 0.
1, 363
Factor -15*k**2 + 81*k - 30.
-3*(k - 5)*(5*k - 2)
Let 4*w**3 - 340*w**2 = 0. Calculate w.
0, 85
Let 14*y**3/5 - 38*y**2/5 - 68*y/5 - 16/5 = 0. Calculate y.
-1, -2/7, 4
Let -a**4/4 + 311*a**3/4 - 155*a**2/2 = 0. Calculate a.
0, 1, 310
Find l, given that -2*l**5/5 + 4*l**4/5 + 8*l**3/5 - 4*l**2/5 - 6*l/5 = 0.
-1, 0, 1, 3
What is s in -5*s**4/6 + 5*s**3/6 + 10*s**2/3 - 10*s/3 = 0?
-2, 0, 1, 2
Let 405*s**2 - 180*s + 20 = 0. Calculate s.
2/9
Find n such that -2*n**4 - 104*n**3 - 736*n**2 - 1408*n = 0.
-44, -4, 0
Factor -r**2/8 + r + 9/8.
-(r - 9)*(r + 1)/8
Solve -w**3/7 + 19*w/7 - 30/7 = 0.
-5, 2, 3
Factor 3*b**3 + 51*b**2 - 243*b + 189.
3*(b - 3)*(b - 1)*(b + 21)
What is v in 5*v**3 - 215*v**2 + 410*v = 0?
0, 2, 41
Find a, given that -a**3 - 3*a**2 = 0.
-3, 0
Find i such that 18*i**3/5 - 30*i**2 + 176*i/5 - 56/5 = 0.
2/3, 7
Factor 2*a**2/13 - 4*a + 26.
2*(a - 13)**2/13
Solve -3*d**5 - 33*d**4 - 75*d**3 + 201*d**2 + 510*d - 600 = 0.
-5, -4, 1, 2
Find u, given that -10*u**4/9 - 118*u**3/9 - 112*u**2/3 + 8*u = 0.
-6, 0, 1/5
Let -2*g**3/5 + 136*g**2/5 - 1254*g/5 = 0. Calculate g.
0, 11, 57
Factor -2*q**2 - 72*q + 152.
-2*(q - 2)*(q + 38)
Determine w so that 4*w**5 - 516*w**4 + 14184*w**3 + 156600*w**2 + 499284*w + 514188 = 0.
-3, 69
Factor -p**4/9 - 22*p**3/9 - 55*p**2/3 - 500*p/9 - 500/9.
-(p + 2)*(p + 5)**2*(p + 10)/9
Factor 2*b**5/15 - 72*b**4/5 + 544*b**3 - 120224*b**2/15 + 157216*b/5.
2*b*(b - 34)**3*(b - 6)/15
Determine q so that -82*q**3/5 + 86*q**2/5 - 4*q/5 = 0.
0, 2/41, 1
Factor -5*u**3 + 765*u**2 - 28080*u - 91260.
-5*(u - 78)**2*(u + 3)
Factor -2*u**4/7 - 804*u**3/7 - 106920*u**2/7 - 656100*u + 14762250/7.
-2*(u - 3)*(u + 135)**3/7
Find u such that 2*u**2/9 + 40*u/3 + 832/9 = 0.
-52, -8
Determine x, given that 5*x**2 + 480*x + 11520 = 0.
-48
Factor -3*n**2/5 - 30*n - 423/5.
-3*(n + 3)*(n + 47)/5
Determine f, given that -f**2/3 - 7*f/3 + 6 = 0.
-9, 2
Let -14*l**5/9 - 22*l**4/9 + 16*l**3/3 + 88*l**2/9 + 32*l/9 = 0. What is l?
-2, -1, -4/7, 0, 2
Let 5*b**5 + 30*b**4 + 45*b**3 + 20*b**2 = 0. What is b?
-4, -1, 0
Factor 4*y**5 - 96*y**4 + 472*y**3 + 1248*y**2 + 676*y.
4*y*(y - 13)**2*(y + 1)**2
Factor -s**5/2 + 3*s**4/2 + 3*s**3 - 5*s**2 - 21*s/2 - 9/2.
-(s - 3)**2*(s + 1)**3/2
Find r such that r**2/5 + r/5 = 0.
-1, 0
Factor -2*l**4/3 - 32*l**3/3 + 70*l**2/3 - 12*l.
-2*l*(l - 1)**2*(l + 18)/3
Factor -i**3 + 118*i**2 - 3481*i.
-i*(i - 59)**2
Determine i, given that -5*i**2 + 50*i = 0.
0, 10
Solve 5*u**2 + 9690*u + 4694805 = 0.
-969
Factor 2*b**3 - 16*b**2 - 122*b - 104.
2*(b - 13)*(b + 1)*(b + 4)
Factor -h**2/6 + 1409*h/3 - 1985281/6.
-(h - 1409)**2/6
Determine y so that -2*y**3/9 - 32*y**2/9 - 26*y/3 = 0.
-13, -3, 0
Let 32*m**5/7 + 48*m**4/7 - 46*m**3/7 - 30*m**2/7 - 4*m/7 = 0. What is m?
-2, -1/4, 0, 1
Factor 242*b**3/3 + 286*b**2/3 + 46*b/3 + 2/3.
2*(b + 1)*(11*b + 1)**2/3
What is l in 2*l**2/3 + 20*l/3 + 14 = 0?
-7, -3
Solve -20*y**3 - 300*y**2 - 285*y + 7220 = 0.
-19/2, 4
Solve -j**2/5 + 37*j/5 + 38/5 = 0.
-1, 38
Factor -2*o**4 + 22*o**3 + 52*o**2.
-2*o**2*(o - 13)*(o + 2)
Determine p, given that -4*p**4 + 48*p**2 + 64*p = 0.
-2, 0, 4
Factor n**4 - 14*n**3/3 - 7*n**2/3 + 10*n/3.
n*(n - 5)*(n + 1)*(3*n - 2)/3
Factor -h**2 - 4926*h - 6066369.
-(h + 2463)**2
Factor 4*i**5/3 - 32*i**4/3 + 64*i**3/3 + 24*i**2 - 108*i + 72.
4*(i - 3)**3*(i - 1)*(i + 2)/3
Find i such that 4*i**3 + 20*i**2 + 16*i = 0.
-4, -1, 0
Factor 2*w**2/9 + 118*w/9 + 76/3.
2*(w + 2)*(w + 57)/9
Factor r**2/4 + 1125*r/2 + 1265625/4.
(r + 1125)**2/4
Solve 2*h**5 + 14*h**4 + 32*h**3 + 16*h**2 - 32*h - 32 = 0.
-2, 1
Factor 2*p**5/5 - 18*p**4/5 + 52*p**3/5 - 68*p**2/5 + 42*p/5 - 2.
2*(p - 5)*(p - 1)**4/5
Let -2*w**5 + 8*w**4 + 10*w**3 - 40*w**2 - 8*w + 32 = 0. What is w?
-2, -1, 1, 2, 4
Solve v**2/7 + 11*v/7 + 10/7 = 0 for v.
-10, -1
Determine v so that -4*v**3/3 - 148*v**2 - 4180*v - 12100/3 = 0.
-55, -1
Suppose 5*s**3 + 1065*s**2 - 2145*s + 1075 = 0. Calculate s.
-215, 1
Determine j, given that -15*j**2 + 21*j - 6 = 0.
2/5, 1
Find q such that -q**2/4 + 9*q/2 - 14 = 0.
4, 14
Find s, given that -15*s**2/4 + 107*s/2 - 14 = 0.
4/15, 14
What is g in -2*g**4 + 8*g**3 + 602*g**2 - 608*g = 0?
-16, 0, 1, 19
Factor -3*l**4/8 + 93*l**3 - 5382*l**2 - 47616*l - 98304.
-3*(l - 128)**2*(l + 4)**2/8
Factor m**4 - 91*m**3/3 + 39*m**2 - 29*m/3.
m*(m - 29)*(m - 1)*(3*m - 1)/3
Factor 5*p**2 - 11380*p + 11375.
5*(p - 2275)*(p - 1)
Factor -y**3 - 8*y**2 - 12*y.
-y*(y + 2)*(y + 6)
Determine b, given that 2*b**5/9 - 10*b**4/9 + 4*b**3/9 + 28*b**2/9 - 2*b/3 - 2 = 0.
-1, 1, 3
Suppose 4*h**4 + 1064*h**3 + 73876*h**2 + 414960*h + 608400 = 0. What is h?
-130, -3
Factor -l**3/5 + 2*l**2/5 + 3*l/5.
-l*(l - 3)*(l + 1)/5
Factor -15*y**2 + 130*y + 45.
-5*(y - 9)*(3*y + 1)
Let -3*d**2/5 + 252*d/5 - 5292/5 = 0. Calculate d.
42
Factor -5*m**2 - 65*m + 150.
-5*(m - 2)*(m + 15)
Factor -4*h**2 - 104*h - 480.
-4*(h + 6)*(h + 20)
Find m, given that m**5/3 + 23*m**4/3 - 34*m**3 + 158*m**2/3 - 107*m/3 + 