5*l**3/4 + 125*l**2/2 = 0. What is l?
0, 50
Solve 8*n**2/19 - 1110*n/19 - 278/19 = 0 for n.
-1/4, 139
Determine a so that -4*a**2/7 - 2972*a/7 = 0.
-743, 0
Factor -3*m**2 - 783*m.
-3*m*(m + 261)
Find q, given that -q**4 + 10*q**3 + 3*q**2 - 172*q + 160 = 0.
-4, 1, 5, 8
Solve -2*t**2 - 464*t = 0 for t.
-232, 0
Factor w**4/3 + 10*w**3/3 - 47*w**2/3 - 120*w + 432.
(w - 4)**2*(w + 9)**2/3
Find s, given that -455*s**2 - 1375*s - 30 = 0.
-3, -2/91
Find w, given that 5*w**4 - 15*w**3 + 10*w**2 = 0.
0, 1, 2
Determine a so that -12*a**4 + 900*a**3 + 909*a**2 + 228*a = 0.
-1/2, 0, 76
Factor -2*g**2/11 + 2416*g/11 - 729632/11.
-2*(g - 604)**2/11
Factor z**3/8 - 9*z**2/8 - 17*z/4 - 3.
(z - 12)*(z + 1)*(z + 2)/8
Factor 2*u**5/3 + 4*u**4/3.
2*u**4*(u + 2)/3
Factor 3*h**4/5 - 24*h**3/5 + 3*h**2 + 42*h/5.
3*h*(h - 7)*(h - 2)*(h + 1)/5
Determine i, given that -4*i**5 + 52*i**4 - 164*i**3 - 52*i**2 + 168*i = 0.
-1, 0, 1, 6, 7
Factor -2*p**2/21 + 170*p/21 + 172/21.
-2*(p - 86)*(p + 1)/21
What is w in 3*w**5/4 - 774*w**4 + 4635*w**3/2 - 2316*w**2 + 3087*w/4 = 0?
0, 1, 1029
Factor -3*y**5/2 - 45*y**4/2 - 243*y**3/2 - 567*y**2/2 - 243*y.
-3*y*(y + 3)**3*(y + 6)/2
Factor 4*m**4/3 - 4*m**2 + 8*m/3.
4*m*(m - 1)**2*(m + 2)/3
Determine t so that -t**4/4 - 17*t**3/4 - 51*t**2/2 - 63*t - 54 = 0.
-6, -3, -2
Find j such that -j**2/4 - 13*j/4 - 11/2 = 0.
-11, -2
Factor 3*i**3 + 654*i**2 - 1320*i.
3*i*(i - 2)*(i + 220)
Factor -2*o**2 + 8*o + 10.
-2*(o - 5)*(o + 1)
Let t**2 - 20*t - 21 = 0. Calculate t.
-1, 21
Find d, given that -2*d**3 + 22*d**2 - 52*d + 32 = 0.
1, 2, 8
Let 23*n**5 + 113*n**4 + 128*n**3 - 104*n**2 - 176*n + 16 = 0. Calculate n.
-2, 2/23, 1
Let z**3/10 - 9*z**2/10 + 3*z/2 + 5/2 = 0. What is z?
-1, 5
Solve 4*d**4 - 8*d**3 - 20*d**2 + 24*d = 0.
-2, 0, 1, 3
What is t in -5*t**3 + 215*t**2 + 490*t - 1800 = 0?
-4, 2, 45
Factor -3*q**3/4 - 24*q**2 + 3*q + 96.
-3*(q - 2)*(q + 2)*(q + 32)/4
Suppose s**4/2 + 7*s**3/4 - 45*s**2/4 + 8*s + 7 = 0. What is s?
-7, -1/2, 2
Factor -d**2/2 + 83*d - 6889/2.
-(d - 83)**2/2
What is h in 35*h**3 - 20*h**2 - 315*h + 180 = 0?
-3, 4/7, 3
Factor 4*m**3 - 388*m**2 - 788*m - 396.
4*(m - 99)*(m + 1)**2
Factor -h**3/4 - 1215*h**2/4 - 92112*h + 92416.
-(h - 1)*(h + 608)**2/4
Factor k**3 - 2*k**2 - 15*k.
k*(k - 5)*(k + 3)
What is f in -4*f**2 + 10356*f - 10352 = 0?
1, 2588
Solve -2*o**5 + 194*o**4 - 6336*o**3 + 71680*o**2 - 65536*o = 0.
0, 1, 32
Suppose -b**3 - 393*b**2 - 392*b = 0. Calculate b.
-392, -1, 0
Factor -108*o**2 - 208*o + 16.
-4*(o + 2)*(27*o - 2)
Factor 12*l**3 - 28*l**2 - 144*l - 80.
4*(l - 5)*(l + 2)*(3*l + 2)
Solve -2*a**4/15 + 214*a**3/15 + 1334*a**2/15 + 2474*a/15 + 452/5 = 0 for a.
-3, -2, -1, 113
Factor 5*s**5 - 560*s**4 + 15105*s**3 + 32490*s**2.
5*s**2*(s - 57)**2*(s + 2)
Let 3*i**4 - 168*i**3 + 1212*i**2 - 2928*i + 2304 = 0. Calculate i.
2, 4, 48
Find l such that -2*l**2/9 + 200*l/9 - 5000/9 = 0.
50
Factor -g**5 - 15*g**4.
-g**4*(g + 15)
Let -3*v**5 - 12*v**4 + 39*v**3 + 192*v**2 + 144*v = 0. What is v?
-4, -3, -1, 0, 4
Let h**5 - 4*h**4 - h**3 + 16*h**2 - 12*h = 0. Calculate h.
-2, 0, 1, 2, 3
Factor -3*l**4/4 - 45*l**3/2 - 108*l**2.
-3*l**2*(l + 6)*(l + 24)/4
Factor -2*r**2/17 + 792*r/17 - 2358/17.
-2*(r - 393)*(r - 3)/17
Factor -2*x**3/7 + 24*x**2/7 - 72*x/7.
-2*x*(x - 6)**2/7
Let 3*w**3 + 522*w**2 = 0. Calculate w.
-174, 0
Factor -4*h**3/5 - 8*h**2/5.
-4*h**2*(h + 2)/5
Determine p so that 4*p**4 + 260*p**3/7 - 516*p**2/7 + 20*p + 88/7 = 0.
-11, -2/7, 1
Factor -2*c**5/3 + 12*c**4 - 194*c**3/3 + 96*c**2 - 128*c/3.
-2*c*(c - 8)**2*(c - 1)**2/3
Factor v**2 - 4*v - 21.
(v - 7)*(v + 3)
Solve f**3/8 + 3*f**2/4 + 9*f/8 = 0.
-3, 0
Factor -10*n**2 - 615*n + 625.
-5*(n - 1)*(2*n + 125)
Factor 4*x**3 - 72*x**2 + 432*x - 864.
4*(x - 6)**3
Factor 5*c**5/6 - 5*c**4/3 + 5*c**2/3 - 5*c/6.
5*c*(c - 1)**3*(c + 1)/6
Factor 2*s**4/7 + 1116*s**3/7 + 155682*s**2/7.
2*s**2*(s + 279)**2/7
Factor 60*o**4 - 772*o**3 - 104*o**2.
4*o**2*(o - 13)*(15*o + 2)
Factor -484*y**5 - 1144*y**4 + 1436*y**3 + 2496*y**2 - 2304*y.
-4*y*(y - 1)**2*(11*y + 24)**2
Find w such that -w**2/2 + 1071*w/2 + 1611 = 0.
-3, 1074
Let 5*s**5 - 5*s**4 - 105*s**3 + 5*s**2 + 100*s = 0. What is s?
-4, -1, 0, 1, 5
Factor 2*m**5/15 - 12*m**4/5 - 56*m**3/5 - 176*m**2/15.
2*m**2*(m - 22)*(m + 2)**2/15
Factor -3*r**2 + 708*r - 1404.
-3*(r - 234)*(r - 2)
Suppose 2*w**3 + 68*w**2 + 378*w = 0. What is w?
-27, -7, 0
Solve -d**5 + 2*d**4 + 15*d**3 = 0 for d.
-3, 0, 5
Factor 2*y**2 + 44*y - 46.
2*(y - 1)*(y + 23)
Solve -l**2/5 - 8*l - 111/5 = 0.
-37, -3
Let p**4 - 8*p**3 - 9*p**2 = 0. Calculate p.
-1, 0, 9
What is o in -4*o**4 - 96*o**3 - 828*o**2 - 3008*o - 3840 = 0?
-8, -5, -3
Factor -3*d**2/2 + 270*d - 5214.
-3*(d - 158)*(d - 22)/2
Find q such that 8*q**5 + 18*q**4 + 4*q**3 = 0.
-2, -1/4, 0
Let 3*n**4 - 195*n**3 + 192*n**2 = 0. What is n?
0, 1, 64
Suppose -z**4/2 - 5*z**3/2 + 7*z**2/2 + 41*z/2 + 15 = 0. Calculate z.
-5, -2, -1, 3
Determine x, given that 3*x**4 - 69*x**3 + 60*x**2 + 132*x = 0.
-1, 0, 2, 22
Factor u**4/5 - 6*u**3/5 + 8*u**2/5 + 6*u/5 - 9/5.
(u - 3)**2*(u - 1)*(u + 1)/5
Suppose 6*y**4/7 + 21600*y**3/7 - 64836*y**2/7 + 9264*y - 21618/7 = 0. Calculate y.
-3603, 1
Determine c so that -c**4/6 - 7*c**3/3 - 35*c**2/6 - 11*c/3 = 0.
-11, -2, -1, 0
Solve -4*r**2/5 + 1672*r/5 - 174724/5 = 0 for r.
209
Solve -142*p**5/11 + 280*p**4/11 + 8*p**3/11 = 0 for p.
-2/71, 0, 2
Factor -2*x**3/9 + 10*x**2/9 - 8*x/9.
-2*x*(x - 4)*(x - 1)/9
Factor -j**3 - 813*j**2 - 220323*j - 19902511.
-(j + 271)**3
Factor -2662*v**4/7 + 22748*v**3/7 - 11880*v**2/7 + 304*v - 128/7.
-2*(v - 8)*(11*v - 2)**3/7
Let -92*j**3/3 + 320*j**2/3 + 64*j = 0. Calculate j.
-12/23, 0, 4
Find j such that -24*j**5 + 92*j**4 - 60*j**3 - 96*j**2 + 80*j = 0.
-1, 0, 5/6, 2
Factor d**5/9 - d**4/3 - d**3/9 + d**2/3.
d**2*(d - 3)*(d - 1)*(d + 1)/9
Let d**5/3 - 10*d**4/3 - 7*d**3/3 + 196*d**2/3 = 0. Calculate d.
-4, 0, 7
Factor -2*k**5 + 34*k**4 - 116*k**3 + 164*k**2 - 106*k + 26.
-2*(k - 13)*(k - 1)**4
Let -q**2/7 + 20*q/7 + 96/7 = 0. What is q?
-4, 24
Find h, given that h**4/2 + 71*h**3/2 - 373*h**2/2 + 529*h/2 - 114 = 0.
-76, 1, 3
Solve h**4/3 - 73*h**3/3 + 71*h**2 - 211*h/3 + 70/3 = 0 for h.
1, 70
What is c in 12*c**5 + 32*c**4 - 2588*c**3/3 + 7240*c**2/3 - 6352*c/3 + 1760/3 = 0?
-11, 2/3, 2, 5
Determine c so that -1375*c**5 - 2175*c**4 - 955*c**3 - 165*c**2 - 10*c = 0.
-1, -1/5, -2/11, 0
Factor -6*q**2/7 + 242*q/7 - 80/7.
-2*(q - 40)*(3*q - 1)/7
Factor -2*v**4/3 + 28*v**3/3 - 24*v**2 + 68*v/3 - 22/3.
-2*(v - 11)*(v - 1)**3/3
Solve -l**5 - 33*l**4 - 27*l**3 + 157*l**2 - 96*l = 0.
-32, -3, 0, 1
Determine d so that 3*d**5 + 108*d**4 + 105*d**3 = 0.
-35, -1, 0
Solve 5*r**3/9 - 82*r**2/9 - 53*r/9 + 34/9 = 0.
-1, 2/5, 17
Let -3*k**4 - 84*k**3 - 321*k**2 + 588*k + 828 = 0. What is k?
-23, -6, -1, 2
Solve -q**2 + 6*q + 7 = 0.
-1, 7
What is p in -2*p**5 + 794*p**4 - 78390*p**3 - 85546*p**2 + 624064*p + 950424 = 0?
-2, 3, 199
Factor -2*t**2/9 + 22*t/9 - 4.
-2*(t - 9)*(t - 2)/9
Solve z**4/3 - z**3 - z**2 + 11*z/3 - 2 = 0.
-2, 1, 3
Factor -4*l**4 + 40*l**3 - 84*l**2 - 16*l + 112.
-4*(l - 7)*(l - 2)**2*(l + 1)
Factor -2*c**2/7 - 432*c/7 - 23328/7.
-2*(c + 108)**2/7
Factor -19*r**4/2 - 135*r**3/2 - 7*r**2.
-r**2*(r + 7)*(19*r + 2)/2
Factor -b**2/5 + 84*b - 8820.
-(b - 210)**2/5
Solve -z**4/2 + 9*z**3/2 - 11*z**2 + 16 = 0.
-1, 2, 4
Find p such that 3*p**3 + 159*p**2 - 675*p + 513 = 0.
-57, 1, 3
Factor 2*z**2/13 - 146*z/13 - 60.
2*(z - 78)*(z + 5)/13
Factor -2*d**2/13 - 1796*d/13 - 403202/13.
-2*(d + 449)**2/13
Let n**5 + 19*n**4 + 107*n**3 + 41*n**2 - 1092*n - 1764 = 0. What is n?
-7, -6, -2, 3
Determine n so that -4*n**4/5 - 2*n**3 + 124*n**2/5 + 448*n/5 + 192/5 = 0.
-4, -1/2, 6
Suppose -4*c**3 - 76*c**2 - 140*c - 68 = 0. What is c?
-17, -1
Suppose 9*p**4/2 - 915*p**3/2 + 2385*p**2/2 - 885*p/2 - 297 = 0. What is p?
-1/3, 1, 2, 99
Factor -f**4/4 + 2115*f**3/2 - 4481677*f**2/4 + 4468995*f - 4464769.
-(f - 2113)**2*(f - 2)**2/4
Factor 2*m**3/3 + 4*m**2/3 + 2*m/3.
2*m*(m + 1)**2/3
Factor 2*u**3/11 - 2578*u**2/11 + 829470*u/11 + 832050/11.
2*(u - 645)**2*(u + 1)/11
Let -3*o**5 + 27*o**4 - 81*o**3 + 81*o**2 = 0. Calculate o.
0, 3
Let -9*n**4/4 - 199*n**3/2 - 535*n**2 - 114*n = 0. Calculate n.
-38, -6, -2/9, 0
Find a, given that -15*a**3 + 1