/5 - 116*b/5 - 1682/5.
-2*(b + 29)**2/5
Let 432*v**4 + 24408*v**3 + 12132*v**2 + 2018*v + 112 = 0. What is v?
-56, -1/6
Solve -d**5/3 + 7*d**4 + 95*d**3/3 + 41*d**2 + 50*d/3 = 0.
-2, -1, 0, 25
Find q, given that -q**3/4 - 17*q**2/4 - 16*q - 12 = 0.
-12, -4, -1
Find l, given that 3*l**2 - 108*l - 228 = 0.
-2, 38
Solve -2*c**5/11 + 2*c**4/11 + 2*c**3/11 - 2*c**2/11 = 0.
-1, 0, 1
Solve 4*d**3 + 712*d**2 - 1440*d = 0 for d.
-180, 0, 2
Factor 3*x**2/4 - 9*x - 39/4.
3*(x - 13)*(x + 1)/4
Factor -q**3/2 - 57*q**2 + 9*q/2 + 513.
-(q - 3)*(q + 3)*(q + 114)/2
Let 2*v**4 - 12*v**3 - 70*v**2 - 96*v - 40 = 0. What is v?
-2, -1, 10
Factor -a**4/3 - 23*a**3/3 + 26*a**2.
-a**2*(a - 3)*(a + 26)/3
Factor 3*w**4/5 - 39*w**3/5 + 141*w**2/5 - 21*w.
3*w*(w - 7)*(w - 5)*(w - 1)/5
Factor -3*a**2 + 294*a.
-3*a*(a - 98)
Suppose 12*w**4 + 52*w**3 + 64*w**2 + 16*w = 0. Calculate w.
-2, -1/3, 0
Factor -2*b**4/9 + 64*b**3/9 - 40*b**2/3.
-2*b**2*(b - 30)*(b - 2)/9
Determine d, given that 5*d**2 + 2280*d + 259920 = 0.
-228
Factor v**3/3 + 2*v**2 - 5*v + 8/3.
(v - 1)**2*(v + 8)/3
Factor 4*x**5/7 + 103*x**4/7 + 650*x**3/7 - 169*x**2/7.
x**2*(x + 13)**2*(4*x - 1)/7
Find o such that -o**5 - 30*o**4/7 - o**3/7 + 114*o**2/7 + 116*o/7 + 24/7 = 0.
-3, -2, -1, -2/7, 2
Suppose 3*d**3 + 1170*d**2 + 152100*d + 6591000 = 0. What is d?
-130
Factor -21*a**4 + 78*a**3 + 24*a**2.
-3*a**2*(a - 4)*(7*a + 2)
Find q such that 5*q**4 + 30*q**3 + 40*q**2 - 30*q - 45 = 0.
-3, -1, 1
What is p in p**5/5 - p**3 + 4*p/5 = 0?
-2, -1, 0, 1, 2
Determine p so that 4*p**4 - 44*p**3 - 296*p**2 - 384*p = 0.
-3, -2, 0, 16
Suppose -2*y**2/5 - 292*y/5 - 2208/5 = 0. What is y?
-138, -8
Factor 4*w**2/5 - 376*w/5.
4*w*(w - 94)/5
Factor 3*l**2 - 31524*l + 82813548.
3*(l - 5254)**2
Factor c**3/2 + 19*c**2/2.
c**2*(c + 19)/2
Factor n**2 + 986*n + 243049.
(n + 493)**2
Factor y**3/5 - 21*y**2/5 - 153*y/5 - 243/5.
(y - 27)*(y + 3)**2/5
Let -8*k**5/11 + 226*k**4/11 - 1623*k**3/11 + 364*k**2/11 + 196*k/11 = 0. Calculate k.
-1/4, 0, 1/2, 14
Suppose -25*g**5 - 90*g**4 - 10*g**3 + 120*g**2 + 35*g - 30 = 0. Calculate g.
-3, -1, 2/5, 1
Find l such that -3*l**2 - 12*l - 9 = 0.
-3, -1
Solve 441*r**5 - 2121*r**4 + 3112*r**3 - 1112*r**2 - 304*r - 16 = 0 for r.
-2/21, 1, 2
Factor -t**4/5 + 12*t**3/5 - 11*t**2/5.
-t**2*(t - 11)*(t - 1)/5
Solve -55*r**2 + 2685*r + 490 = 0.
-2/11, 49
Solve -2*b**2/5 - 542*b - 2708/5 = 0.
-1354, -1
Factor 2*x**3/13 + 222*x**2/13 + 6480*x/13 + 17496/13.
2*(x + 3)*(x + 54)**2/13
Factor 2*k**2/5 + 216*k/5 - 88.
2*(k - 2)*(k + 110)/5
What is p in -9*p**3/2 + 21*p**2 - 8*p - 16 = 0?
-2/3, 4/3, 4
Factor -a**4/7 - 79*a**3 - 75051*a**2/7 + 389205*a/7.
-a*(a - 5)*(a + 279)**2/7
Determine r so that -2*r**3 - 8*r**2 - 6*r = 0.
-3, -1, 0
Factor -4*u**2/9 + 4*u - 56/9.
-4*(u - 7)*(u - 2)/9
Find p such that -8*p**5 - 22*p**4 + 110*p**3 + 190*p**2 - 342*p + 72 = 0.
-4, -3, 1/4, 1, 3
Factor -8*v**3 - 82*v**2 - 20*v.
-2*v*(v + 10)*(4*v + 1)
Let 243*w**4 + 918*w**3 + 516*w**2 - 150*w + 9 = 0. Calculate w.
-3, -1, 1/9
Factor -5*z**3 + 1965*z**2 - 195975*z + 570375.
-5*(z - 195)**2*(z - 3)
Suppose -5*u**3 - 375*u**2 + 1980*u - 1600 = 0. Calculate u.
-80, 1, 4
Solve -5*l**4 - 110*l**3 + 660*l**2 - 450*l - 1215 = 0 for l.
-27, -1, 3
Suppose t**3/6 + 11*t**2/3 + 41*t/6 + 10/3 = 0. Calculate t.
-20, -1
Determine o so that -o**5 - 421*o**4 - 1666*o**3 + 846*o**2 + 4995*o - 3753 = 0.
-417, -3, 1
Let 4*h**3/3 + 26*h**2/3 + 4*h = 0. What is h?
-6, -1/2, 0
Factor -8*y**4 - 28*y**3 + 68*y**2 + 40*y.
-4*y*(y - 2)*(y + 5)*(2*y + 1)
Factor u**5/5 + 19*u**4/5 - 41*u**3/5 + 21*u**2/5.
u**2*(u - 1)**2*(u + 21)/5
Let m**4/5 + 2*m**3 + 27*m**2/5 + 2*m/5 - 8 = 0. Calculate m.
-5, -4, -2, 1
Let -2*l**2 - 582*l - 1156 = 0. Calculate l.
-289, -2
Factor -5*m**2 + 735*m + 740.
-5*(m - 148)*(m + 1)
Factor -a**2/3 - 2*a/3.
-a*(a + 2)/3
Factor -3*t**2/4 - 3375*t/2 - 3796875/4.
-3*(t + 1125)**2/4
What is x in 2*x**5/5 + 22*x**4/5 + 68*x**3/5 + 92*x**2/5 + 58*x/5 + 14/5 = 0?
-7, -1
Factor d**2/6 + 5*d/3 - 13/2.
(d - 3)*(d + 13)/6
Let 50*n**4 - 40*n**3 - 52*n**2 + 24*n + 18 = 0. What is n?
-3/5, 1
Determine b, given that 6*b**5/7 + 54*b**4/7 + 12*b**3 - 12*b**2/7 - 90*b/7 - 6 = 0.
-7, -1, 1
Find l, given that -35*l**5 - 865*l**4 + 6340*l**3 - 14480*l**2 + 12320*l - 2480 = 0.
-31, 2/7, 2
Factor -m**3/3 + 14*m**2/3 - 7*m - 12.
-(m - 12)*(m - 3)*(m + 1)/3
Determine o so that -2*o**3 - 326*o**2/3 - 416*o/3 + 424/3 = 0.
-53, -2, 2/3
Factor 3*p**3 + 738*p**2 + 2913*p + 2178.
3*(p + 1)*(p + 3)*(p + 242)
Factor -5*s**2 + 115*s + 1050.
-5*(s - 30)*(s + 7)
Factor 2*d**3/7 - 20*d**2/7 - 8*d/7 + 80/7.
2*(d - 10)*(d - 2)*(d + 2)/7
Factor 25*w**2/3 - 130*w/3 + 169/3.
(5*w - 13)**2/3
Factor 5*q**4 + 1155*q**3 + 1150*q**2.
5*q**2*(q + 1)*(q + 230)
Find k such that 5*k**5 - 20*k**3 + 10*k**2 + 15*k - 10 = 0.
-2, -1, 1
Determine r, given that -4*r**5 - 80*r**4 - 400*r**3 = 0.
-10, 0
Factor -75*n**5 - 894*n**4 - 3978*n**3 - 7776*n**2 - 5427*n + 486.
-3*(n + 3)**4*(25*n - 2)
Determine m, given that -m**3/2 + 11*m**2/2 + m/2 - 11/2 = 0.
-1, 1, 11
Suppose 2*l**3 - 18*l**2 + 28*l = 0. Calculate l.
0, 2, 7
Let -3*g**2/4 - 21*g/4 + 108 = 0. What is g?
-16, 9
Factor 2*v**3/11 - 28*v**2/11 + 26*v/11.
2*v*(v - 13)*(v - 1)/11
Factor -5*k**2 - 530*k - 14045.
-5*(k + 53)**2
Let 34*w**2 - 98*w - 12 = 0. What is w?
-2/17, 3
Solve 3*i**2/4 + 429*i/4 = 0 for i.
-143, 0
Factor -3*m**2 + 144*m - 756.
-3*(m - 42)*(m - 6)
Solve 9*p**4 + 21*p**3 - 309*p**2 - 105*p = 0 for p.
-7, -1/3, 0, 5
Let -o**5 + 5*o**4 + 56*o**3 - 316*o**2 + 512*o - 256 = 0. Calculate o.
-8, 1, 2, 8
Determine u so that 2*u**5/5 + 42*u**4/5 + 38*u**3/5 - 42*u**2/5 - 8*u = 0.
-20, -1, 0, 1
Factor -s**2/9 + 140*s/9 - 4900/9.
-(s - 70)**2/9
Suppose -p**5 - 133*p**4/2 - 2593*p**3/2 - 6226*p**2 - 5010*p + 12600 = 0. Calculate p.
-30, -4, -7/2, 1
Let -f**2/2 + 192*f - 18432 = 0. Calculate f.
192
Factor 5*m**5 + 70*m**4 + 340*m**3 + 650*m**2 + 375*m.
5*m*(m + 1)*(m + 3)*(m + 5)**2
Factor -2*s**3/3 + 28*s**2/3 - 70*s/3 + 44/3.
-2*(s - 11)*(s - 2)*(s - 1)/3
Suppose a**5/3 + 2*a**4/3 - a**3/3 - 2*a**2/3 = 0. Calculate a.
-2, -1, 0, 1
Factor h**3 - 10*h**2 - 39*h.
h*(h - 13)*(h + 3)
Solve -3*c**5/2 - 39*c**4/2 + 99*c**3/2 + 123*c**2/2 - 96*c - 90 = 0 for c.
-15, -1, 2
Suppose h**4/2 - 9*h**3 - 66*h**2 - 140*h - 96 = 0. Calculate h.
-2, 24
Let -16*o**2 - 1868*o - 3220 = 0. Calculate o.
-115, -7/4
Factor d**4/6 - 627*d**3/2 + 294533*d**2/2 + 885481*d/6.
d*(d - 941)**2*(d + 1)/6
Factor -2*d**2/23 + 2248*d/23 - 631688/23.
-2*(d - 562)**2/23
Factor y**3/3 + 8*y**2 - 25*y/3.
y*(y - 1)*(y + 25)/3
Solve -3*s**2/7 - 114*s/7 - 1083/7 = 0.
-19
Factor -3*d**5 - 36*d**4 - 138*d**3 - 180*d**2 - 75*d.
-3*d*(d + 1)**2*(d + 5)**2
Suppose g**3 + 34*g**2 + 288*g = 0. What is g?
-18, -16, 0
Determine b so that 49*b**4 + 1883*b**3 + 2538*b**2 - 1916*b + 296 = 0.
-37, -2, 2/7
Factor 4*s**5 + 40*s**4 - 96*s**3 + 8*s**2 + 92*s - 48.
4*(s - 1)**3*(s + 1)*(s + 12)
Suppose 3*w**2/5 - 147*w/5 = 0. What is w?
0, 49
Factor s**3 - 37*s**2 + 340*s.
s*(s - 20)*(s - 17)
Factor q**2/8 + 23*q/4 + 529/8.
(q + 23)**2/8
Solve 3*p**2 + 38688*p + 124730112 = 0.
-6448
Factor 2*f**2 - 104*f + 1352.
2*(f - 26)**2
Determine c so that -2*c**5/9 - 4*c**4 - 56*c**3/3 + 196*c**2/9 + 686*c/3 = 0.
-7, 0, 3
Factor -4*j**3/5 + 168*j**2/5 + 172*j/5.
-4*j*(j - 43)*(j + 1)/5
Factor -3*l**3/4 + 9*l**2/4 + 3*l.
-3*l*(l - 4)*(l + 1)/4
Suppose -4*k**2/3 + 118*k/3 + 20 = 0. Calculate k.
-1/2, 30
Determine d, given that -2*d**3/9 + 28*d**2/9 - 22*d/3 = 0.
0, 3, 11
Determine t so that t**5 - 210*t**4 + 15600*t**3 - 464750*t**2 + 4119375*t = 0.
0, 15, 65
What is a in -21*a**5 + 195*a**4 - 642*a**3 + 924*a**2 - 552*a + 96 = 0?
2/7, 1, 2, 4
Factor -2*d**2/7 - 6*d/7.
-2*d*(d + 3)/7
Factor i**3 - 27*i**2 - i + 27.
(i - 27)*(i - 1)*(i + 1)
Find w such that 4*w**5 - 4*w**4 - 4*w**3 + 4*w**2 = 0.
-1, 0, 1
Factor 3*k**2/5 + 6408*k/5 + 1281.
3*(k + 1)*(k + 2135)/5
Let -o**4 - 16*o**3 - 28*o**2 = 0. What is o?
-14, -2, 0
Factor -c**3 - 236*c**2 - 14157*c - 27378.
-(c + 2)*(c + 117)**2
Factor 14*m**4/5 + 508*m**3/5 + 936*m**2 + 1296*m/5.
2*m*(m + 18)**2*(7*m + 2)/5
Suppose -4050*r**3/7 + 1170*r**2/7 + 2368*r/7 + 512/7 = 0. What is r?
-16/45, 1
Determine d so that -41*d**5 - 43*d**4 + 490*d**3 + 1172*