given that -o**3/3 + 3*o**2 - 5*o + 7/3 = 0.
1, 7
Suppose a**4 + 7*a**3 + 13*a**2 - 3*a - 18 = 0. What is a?
-3, -2, 1
Factor -4*j**3 + 100*j**2 + 4*j - 100.
-4*(j - 25)*(j - 1)*(j + 1)
Factor 2*x**4 - 174*x**3 + 5406*x**2 - 72250*x + 353736.
2*(x - 36)*(x - 17)**3
Determine m so that -2*m**3/15 + 8*m**2/15 - 8*m/15 = 0.
0, 2
Let 2*d**3/5 - 96*d**2 - 1944*d/5 - 1952/5 = 0. What is d?
-2, 244
Find m, given that -3*m**3/8 + 15*m**2/8 + 51*m/8 - 63/8 = 0.
-3, 1, 7
Factor 4*d**2 + 5824*d + 5820.
4*(d + 1)*(d + 1455)
What is i in 5*i**2/4 + 885*i/4 - 445/2 = 0?
-178, 1
Factor -d**3 - 52*d**2 - 885*d - 4950.
-(d + 15)**2*(d + 22)
Let -96*v**2 + 106*v - 10 = 0. What is v?
5/48, 1
Determine h, given that -2*h**3 - 10*h**2 - 12*h = 0.
-3, -2, 0
Factor w**4/4 - 33*w**3/2 + 793*w**2/4 + 2442*w + 5476.
(w - 37)**2*(w + 4)**2/4
Solve -f**5/4 - 5*f**4 - 87*f**3/4 - 8*f**2 + 35*f = 0.
-14, -5, -2, 0, 1
Factor -4*k**2 + 132*k.
-4*k*(k - 33)
Factor 3*p**4 + 14427*p**3/4 + 2169009*p**2/2 + 1083603*p/4.
3*p*(p + 601)**2*(4*p + 1)/4
Determine a so that -2*a**5 - 6*a**4 + 2*a**3 + 22*a**2 + 24*a + 8 = 0.
-2, -1, 2
Determine r so that -4*r**5/3 + 167*r**4/3 - 118*r**3/3 - 208*r**2/3 + 122*r/3 + 41/3 = 0.
-1, -1/4, 1, 41
Solve -4*m**4 - 8*m**3 - 4*m**2 = 0.
-1, 0
Factor 3*h**4 + 1071*h**3 - 2151*h**2 + 1077*h.
3*h*(h - 1)**2*(h + 359)
Factor 2*d**3/11 + 6024*d**2/11 - 12054*d/11 + 548.
2*(d - 1)**2*(d + 3014)/11
Factor -2*n**2 + 74*n - 572.
-2*(n - 26)*(n - 11)
Factor -3*h**5/8 + 3*h**4/4 + 3*h**3.
-3*h**3*(h - 4)*(h + 2)/8
Suppose -k**4 - 8*k**3 + 44*k**2 - 48*k = 0. What is k?
-12, 0, 2
Factor -c**3/5 - 202*c**2/5 - 10201*c/5.
-c*(c + 101)**2/5
Factor n**3 + 27*n**2 - 30*n - 56.
(n - 2)*(n + 1)*(n + 28)
Let 2*f**5/11 + 8*f**4/11 = 0. What is f?
-4, 0
Solve 2*o**2/9 + 298*o/9 - 728/3 = 0.
-156, 7
What is m in 44*m**4 + 36*m**3 - 52*m**2 - 36*m + 8 = 0?
-1, 2/11, 1
Factor -5*t**4 + 30*t**3 - 65*t**2 + 60*t - 20.
-5*(t - 2)**2*(t - 1)**2
Factor 2*p**4 + 4140*p**3 + 2860728*p**2 + 662710516*p + 1962496614.
2*(p + 3)*(p + 689)**3
Factor 11*p**3/4 - 135*p**2/4 + 333*p/4 - 81/4.
(p - 9)*(p - 3)*(11*p - 3)/4
Factor -5*p**4 + 1740*p**3 - 203550*p**2 + 8199500*p - 22813125.
-5*(p - 115)**3*(p - 3)
Factor -3*p**3 - 114*p**2 + 1989*p.
-3*p*(p - 13)*(p + 51)
Determine g so that 86736387*g**2 - 64524*g + 12 = 0.
2/5377
Solve -u**4 - 6*u**3 - 12*u**2 - 10*u - 3 = 0 for u.
-3, -1
What is z in 4*z**3/5 + 48*z**2 + 1532*z/5 + 2544/5 = 0?
-53, -4, -3
Let -a**3/2 - 295*a**2/2 + 2*a + 590 = 0. Calculate a.
-295, -2, 2
Suppose 2*f**2/13 - 68*f/13 = 0. Calculate f.
0, 34
Suppose -9*y**2/7 - 372*y/7 = 0. What is y?
-124/3, 0
Factor 235*g**2 - 233*g - 2.
(g - 1)*(235*g + 2)
Factor -y**3/4 + 23*y**2/4 - 31*y/2 + 10.
-(y - 20)*(y - 2)*(y - 1)/4
What is t in -2*t**5/9 - 82*t**4/3 - 3362*t**3/3 - 137842*t**2/9 = 0?
-41, 0
Let -2*s**3/15 + 22*s**2/15 - 4*s = 0. What is s?
0, 5, 6
Let h**5/8 + h**4/8 - 5*h**3/4 - 5*h**2/4 + 9*h/8 + 9/8 = 0. What is h?
-3, -1, 1, 3
What is w in -60*w**5 + 40*w**4 + 65*w**3 - 45*w**2 - 5*w + 5 = 0?
-1, -1/3, 1/2, 1
Factor w**4/3 - 74*w**3/3 + 452*w**2/3 + 1130*w/3 + 201.
(w - 67)*(w - 9)*(w + 1)**2/3
Factor -2*g**2 + 34*g - 120.
-2*(g - 12)*(g - 5)
Factor -y**4/2 + 44*y**3 + 9*y**2/2 - 396*y.
-y*(y - 88)*(y - 3)*(y + 3)/2
Let -75*i**5 - 980*i**4 - 4580*i**3 - 8880*i**2 - 6080*i - 1280 = 0. What is i?
-4, -2/3, -2/5
Determine j, given that j**3 + 103*j**2 - 4*j - 412 = 0.
-103, -2, 2
Factor g**2/2 + 2237*g + 5004169/2.
(g + 2237)**2/2
Determine k, given that 3*k**2 + 435*k - 882 = 0.
-147, 2
What is m in 2*m**5 + 27*m**4 + 93*m**3 + 112*m**2 + 36*m = 0?
-9, -2, -1/2, 0
Suppose -289*o**5/3 - 697*o**4 - 3370*o**3/3 - 236*o**2 - 40*o/3 = 0. Calculate o.
-5, -2, -2/17, 0
Find o such that -3*o**3 - 516*o**2 + 2100*o - 2112 = 0.
-176, 2
Factor 2*h**2/5 - 10*h + 252/5.
2*(h - 18)*(h - 7)/5
Find w, given that 4*w**3 + 64*w**2 + 208*w + 192 = 0.
-12, -2
Factor 3*r**3 + 99*r**2 + 96*r.
3*r*(r + 1)*(r + 32)
Factor 14*s**3/13 - 10*s**2/13 - 32*s/13 - 8/13.
2*(s - 2)*(s + 1)*(7*s + 2)/13
Factor z**3/4 - 3*z**2 - 36*z + 432.
(z - 12)**2*(z + 12)/4
Determine s so that 5*s**4 - 185*s**3 - 590*s**2 - 400*s = 0.
-2, -1, 0, 40
Let 5*u**4 - 35*u**3 + 25*u**2 + 35*u - 30 = 0. Calculate u.
-1, 1, 6
Factor 9*k**3/4 - 35*k**2/2 + 23*k + 6.
(k - 6)*(k - 2)*(9*k + 2)/4
Solve -3*i**2 + 648*i - 34992 = 0.
108
Factor -2*g**3 - 3*g**2 + 32*g - 15.
-(g - 3)*(g + 5)*(2*g - 1)
Let h**3/6 + 205*h**2/6 + 1583*h/6 + 1379/6 = 0. Calculate h.
-197, -7, -1
Factor -3*p**4 + 24*p**3 - 66*p**2 + 72*p - 27.
-3*(p - 3)**2*(p - 1)**2
Factor -q**2 + 9.
-(q - 3)*(q + 3)
Determine n so that 3*n**5 + 552*n**4 + 23688*n**3 - 156198*n**2 + 294405*n - 162450 = 0.
-95, 1, 2, 3
Suppose 2*s**2/9 + 4*s/3 = 0. What is s?
-6, 0
What is s in -2*s**5/7 - 6*s**4 - 38*s**3/7 + 6*s**2 + 40*s/7 = 0?
-20, -1, 0, 1
Factor -3*m**3/2 - 87*m**2/2 - 219*m + 264.
-3*(m - 1)*(m + 8)*(m + 22)/2
Factor 5*d**4 - 35*d**3 - 40*d**2.
5*d**2*(d - 8)*(d + 1)
Determine y so that -2*y**2 + 120*y - 118 = 0.
1, 59
Let -2*k**4/19 + 8*k**3/19 + 6*k**2/19 - 28*k/19 + 16/19 = 0. Calculate k.
-2, 1, 4
Factor -52*n**2/3 + 292*n + 136/3.
-4*(n - 17)*(13*n + 2)/3
Solve 3*i**5 + 12*i**4 - 33*i**3 - 186*i**2 - 240*i - 96 = 0.
-4, -2, -1, 4
Factor -4*w**3 - 192*w**2 - 2228*w - 2040.
-4*(w + 1)*(w + 17)*(w + 30)
Suppose -2*f**2/11 - 16860*f/11 - 35532450/11 = 0. What is f?
-4215
Solve -2*q**3/3 + 50*q**2/3 + 52*q/3 = 0 for q.
-1, 0, 26
What is t in -t**3/2 - t**2 = 0?
-2, 0
Factor -2*r**5 - 4*r**4 + 24*r**3 - 28*r**2 + 10*r.
-2*r*(r - 1)**3*(r + 5)
Factor 2*g**4/5 - 22*g**3/5 - 218*g**2/5 + 238*g/5.
2*g*(g - 17)*(g - 1)*(g + 7)/5
Find t, given that 2*t**2 - 96*t + 864 = 0.
12, 36
Find k, given that 12*k**2 + 189*k - 48 = 0.
-16, 1/4
Let h**5/5 - 34*h**4/5 + 49*h**3/5 + 96*h**2 = 0. What is h?
-3, 0, 5, 32
Factor 4*u**4 + 116*u**3 + 888*u**2 + 1584*u - 2592.
4*(u - 1)*(u + 6)**2*(u + 18)
Determine w so that 4*w**2 - 376*w + 8836 = 0.
47
Factor 2*n**5/3 + 26*n**4/3 - 30*n**3 + 94*n**2/3 - 32*n/3.
2*n*(n - 1)**3*(n + 16)/3
Solve -2*q**4/7 - 22*q**3/7 + 2*q**2 + 310*q/7 - 300/7 = 0 for q.
-10, -5, 1, 3
Factor -2*u**2/3 + 16*u/3 - 14/3.
-2*(u - 7)*(u - 1)/3
Factor -2*j**2 - 2*j + 264.
-2*(j - 11)*(j + 12)
Solve -3*c**4/5 + 84*c**3/5 - 432*c**2/5 + 816*c/5 - 528/5 = 0.
2, 22
Determine q so that -4*q**2/9 + 3256*q/9 - 662596/9 = 0.
407
Factor -2*g**3/5 - 34*g**2/5 - 112*g/5 - 104/5.
-2*(g + 2)**2*(g + 13)/5
Factor 3*j**5/4 - 6*j**4 + 9*j**3/2 + 81*j**2 - 1053*j/4 + 243.
3*(j - 3)**4*(j + 4)/4
Factor -v**4/2 + 7*v**2/2 + 3*v.
-v*(v - 3)*(v + 1)*(v + 2)/2
Factor 2*q**3/15 - 32*q**2/15.
2*q**2*(q - 16)/15
Let -2*r**4/5 + 156*r**3/5 - 744*r**2/5 + 1028*r/5 - 438/5 = 0. What is r?
1, 3, 73
Determine z so that -6*z**4/5 + 16*z**3/5 + 34*z**2/5 - 4*z/5 - 16/5 = 0.
-1, 2/3, 4
Factor -3*g**3 + 6*g**2 + 15*g - 18.
-3*(g - 3)*(g - 1)*(g + 2)
Determine f so that 5*f**4 + 22*f**3 + 29*f**2 + 12*f = 0.
-12/5, -1, 0
Factor -4*w**2/9 - 1304*w/9 + 2624/9.
-4*(w - 2)*(w + 328)/9
Solve 25*y**3/3 - 115*y**2/3 - 200*y/3 - 20 = 0 for y.
-1, -2/5, 6
Factor -y**3/4 - 129*y**2/2 - 5547*y - 159014.
-(y + 86)**3/4
Find y such that 2*y**5 + 328*y**4 - 6*y**3 - 980*y**2 + 656*y = 0.
-164, -2, 0, 1
Factor 123*t**2/4 - 1311*t/4 - 231/2.
3*(t - 11)*(41*t + 14)/4
Factor -g**3/2 - g**2/2 + 66*g.
-g*(g - 11)*(g + 12)/2
Find q, given that -q**4/3 - 47*q**3/6 - 11*q**2/3 + 23*q/6 = 0.
-23, -1, 0, 1/2
Determine g, given that -2*g**4/15 + 14*g**3/5 - 74*g**2/15 - 14*g/5 + 76/15 = 0.
-1, 1, 2, 19
Solve 3*w**2 + 156*w = 0.
-52, 0
Find o, given that -4*o**4 + 32*o**3 + 40*o**2 - 32*o - 36 = 0.
-1, 1, 9
Determine a, given that -2*a**2/5 + 52*a/5 = 0.
0, 26
Solve z**5/2 + 11*z**4/2 - 19*z**3 - 301*z**2 + 245*z/2 + 8575/2 = 0.
-7, 5
Solve 2*o**4/11 - 4*o**3 + 216*o**2/11 + 972*o/11 - 7290/11 = 0.
-5, 9
Let 4*v**2/9 - 20*v/9 + 8/3 = 0. Calculate v.
2, 3
Determine o, given that -5*o**3 - 45*o**2 - 30*o + 80 = 0.
-8, -2, 1
Factor 4*g**2 - 16*g - 48.
4*(g - 6)*(g + 2)
Factor 5*a**4 + 15*a**3 - 10*a**2 - 60*a - 40.
5*(a - 2)*(a + 1)*(a + 2)**2
Factor -b**2/2 + 271*b/2 + 136.
-(b - 272)*(b + 1)/2
Solve -5*v**5 - 110*v**4 - 465*v**3 - 700*v**2 - 340*v = 0 for v.
-17, -2, -1, 0
What is y in -3*y**5/2 - 15*y**4/2