*3 + 185*s**2 + 130*s = 0. Calculate s.
-1, 0, 2, 13
Factor -h**3 + 1827*h**2 - 833568*h - 835396.
-(h - 914)**2*(h + 1)
Factor 2*f**3 + 26*f**2 - 32*f - 56.
2*(f - 2)*(f + 1)*(f + 14)
Factor 4*c**3/3 + 10*c**2 - 6*c - 16/3.
2*(c - 1)*(c + 8)*(2*c + 1)/3
Let -112*q**4/5 - 44*q**3/5 - 4*q**2/5 = 0. Calculate q.
-1/4, -1/7, 0
Factor -l**4/2 + 1423*l**3 - 2022081*l**2/2 - 2026352*l - 1013888.
-(l - 1424)**2*(l + 1)**2/2
Determine d, given that -3*d**2/2 + 270*d - 12150 = 0.
90
Factor -2*w**5 - 30*w**4 - 142*w**3 - 266*w**2 - 216*w - 64.
-2*(w + 1)**3*(w + 4)*(w + 8)
Factor 4*u**2 + 1588*u + 4728.
4*(u + 3)*(u + 394)
Factor 2*w**3/5 - 44*w**2 - 446*w/5 - 224/5.
2*(w - 112)*(w + 1)**2/5
Find v such that 6*v**5 - 608*v**4 + 2396*v**3/3 + 136*v**2 - 266*v - 200/3 = 0.
-1/3, 1, 100
Factor 3*k**2/4 + 27*k/4 - 135/2.
3*(k - 6)*(k + 15)/4
Determine m so that -3*m**5 - 6*m**4 + 3*m**3 + 6*m**2 = 0.
-2, -1, 0, 1
Find u such that -4*u**3 - 224*u**2 - 620*u + 848 = 0.
-53, -4, 1
Factor -2*u**3 + 406*u**2.
-2*u**2*(u - 203)
Factor -3*n**2 + 1068*n + 4320.
-3*(n - 360)*(n + 4)
Let -2*f**4 + 42*f**3 - 212*f**2 - 168*f + 880 = 0. What is f?
-2, 2, 10, 11
Factor 4*q**3 + 72*q**2 + 188*q + 120.
4*(q + 1)*(q + 2)*(q + 15)
Factor 5*k**3 + 120*k**2 - 125*k.
5*k*(k - 1)*(k + 25)
Solve -f**3 - 1535*f**2 + 3073*f - 1537 = 0 for f.
-1537, 1
Solve -20*t**2 - 572*t + 232 = 0.
-29, 2/5
Factor 2*q**3 - 160*q**2 + 306*q + 468.
2*(q - 78)*(q - 3)*(q + 1)
Solve -4*z**4/3 - 124*z**3/3 - 896*z**2/3 + 1024*z/3 = 0 for z.
-16, 0, 1
Solve 2*i**4/7 - 114*i**3/7 + 1410*i**2/7 - 6550*i/7 + 1500 = 0.
5, 42
Factor 3*g**2 + 72*g + 420.
3*(g + 10)*(g + 14)
Let 3*g**4 - 39*g**3 + 126*g**2 + 108*g - 648 = 0. Calculate g.
-2, 3, 6
Suppose -3*l**5/8 + 171*l**4/4 - 3249*l**3/2 + 20577*l**2 = 0. What is l?
0, 38
Factor -3*r**2 - 12*r - 12.
-3*(r + 2)**2
Determine j so that -26*j**4/15 + 112*j**3/15 - 54*j**2/5 + 92*j/15 - 16/15 = 0.
4/13, 1, 2
Let -2*l**2/11 - 1400*l/11 + 4218/11 = 0. What is l?
-703, 3
Factor d**5/3 - 10*d**4 + 19*d**3 - 28*d**2/3.
d**2*(d - 28)*(d - 1)**2/3
Factor -5*n**5 - 100*n**4 - 180*n**3 + 10*n**2 + 185*n + 90.
-5*(n - 1)*(n + 1)**3*(n + 18)
What is f in -f**3/4 - f**2 = 0?
-4, 0
Let -2*r**5/11 + 2*r**4/11 + 20*r**3/11 - 8*r**2/11 - 48*r/11 = 0. What is r?
-2, 0, 2, 3
Factor 3*p**3/7 - 18*p**2/7 - 99*p - 420.
3*(p - 20)*(p + 7)**2/7
Let 44*d**3 - 130*d**2 + 82*d + 4 = 0. What is d?
-1/22, 1, 2
Determine r, given that r**4/2 + 11*r**3/2 + 5*r**2/2 - 47*r/2 + 15 = 0.
-10, -3, 1
Suppose 5*o**2 - 1735*o + 1730 = 0. Calculate o.
1, 346
Factor 3*z**4 - 72*z**3 + 402*z**2 - 792*z + 459.
3*(z - 17)*(z - 3)**2*(z - 1)
Find b such that -5*b**5 + 65*b**4 + 10*b**3 - 1410*b**2 - 2565*b - 1215 = 0.
-3, -1, 9
Let 3*v**4 - 222*v**3 + 3948*v**2 - 22242*v + 18513 = 0. What is v?
1, 11, 51
Factor 2*u**2 + 70*u + 132.
2*(u + 2)*(u + 33)
Suppose 4*u**5 + 8*u**4 - 8*u**3 - 16*u**2 + 4*u + 8 = 0. Calculate u.
-2, -1, 1
Solve -2*d**2 - 2*d + 180 = 0 for d.
-10, 9
Suppose -4*w**4 + 280*w**3 - 1052*w**2 - 280*w + 1056 = 0. Calculate w.
-1, 1, 4, 66
Determine i so that 2*i**2 + 828*i + 85698 = 0.
-207
Solve -5*g**4 + 25*g**3 - 15*g**2 - 25*g + 20 = 0.
-1, 1, 4
Factor -2*l**3/9 + 4*l**2/3 - 2*l/3 - 20/9.
-2*(l - 5)*(l - 2)*(l + 1)/9
Let r**4/4 + 893*r**3/4 - 1789*r**2/4 + 895*r/4 = 0. Calculate r.
-895, 0, 1
What is n in 20*n**4 - 148*n**3 + 244*n**2 + 4*n - 120 = 0?
-3/5, 1, 2, 5
Determine m, given that 14*m**3 + 5790*m**2 - 2492*m - 3312 = 0.
-414, -4/7, 1
Factor l**5/3 - l**4/3 - 3*l**3 - 11*l**2/3 - 4*l/3.
l*(l - 4)*(l + 1)**3/3
Suppose -25*w**5/3 + 995*w**4/3 - 1684*w**3/3 - 1024*w**2/3 + 1376*w/3 - 304/3 = 0. What is w?
-1, 2/5, 2, 38
Solve -12*j**3/11 - 574*j**2/11 - 998*j/11 + 644/11 = 0.
-46, -7/3, 1/2
Suppose -25*y**5 + 20*y**4 + 25*y**3 - 20*y**2 = 0. What is y?
-1, 0, 4/5, 1
What is j in 5*j**3 + 115*j**2 - 3250*j + 6000 = 0?
-40, 2, 15
Suppose 3*m**3/7 + 15*m**2/7 - 171*m/7 + 297/7 = 0. Calculate m.
-11, 3
Determine j so that 6*j**4 + 297*j**3 - 156*j**2 - 297*j + 150 = 0.
-50, -1, 1/2, 1
Find g such that -5*g**2/3 + 128*g/3 - 25 = 0.
3/5, 25
Solve -100*h**3 - 620*h**2 - 636*h - 180 = 0 for h.
-5, -3/5
Factor -3*u**4 + 9*u**3 - 3*u**2 - 9*u + 6.
-3*(u - 2)*(u - 1)**2*(u + 1)
Suppose 2*i**2/7 + 4016*i/7 + 4014/7 = 0. Calculate i.
-2007, -1
Factor -35*v**2 - 1145*v + 330.
-5*(v + 33)*(7*v - 2)
Factor -g**4 - 3*g**3 + 7*g**2 + 15*g - 18.
-(g - 2)*(g - 1)*(g + 3)**2
Suppose d**2/5 - 169/5 = 0. Calculate d.
-13, 13
Suppose 2*l**2 + 52*l = 0. What is l?
-26, 0
Determine m so that -5*m**2 + 600*m - 18000 = 0.
60
Factor 4*l**5 - 8*l**4 + 8*l**2 - 4*l.
4*l*(l - 1)**3*(l + 1)
Factor 2*w**5 - 100*w**4 + 1146*w**3 + 2600*w**2 + 1352*w.
2*w*(w - 26)**2*(w + 1)**2
Let -3*p**2 + 147*p - 414 = 0. What is p?
3, 46
Let 224*c**4 - 400*c**3 - 98*c**2 + 4*c = 0. Calculate c.
-1/4, 0, 1/28, 2
Find k, given that k**2/6 - 5*k/3 - 11/6 = 0.
-1, 11
Factor -g**4/4 - 5*g**3/2 + 9*g**2 - 19*g/2 + 13/4.
-(g - 1)**3*(g + 13)/4
Suppose 3*f**3/2 + 75*f**2/4 - 21*f/2 - 39/4 = 0. Calculate f.
-13, -1/2, 1
Factor t**3/3 + 28*t**2/3.
t**2*(t + 28)/3
Suppose 3*j**2/5 + 123*j/5 + 342/5 = 0. What is j?
-38, -3
Factor 2*g**5 - 6*g**4 + 2*g**3 + 6*g**2 - 4*g.
2*g*(g - 2)*(g - 1)**2*(g + 1)
Solve x**5/7 + 12*x**4/7 + 20*x**3/7 - 2*x**2/7 - 3*x - 10/7 = 0.
-10, -1, 1
Solve 7*i**2/3 + 58*i + 167/3 = 0.
-167/7, -1
What is v in 4*v**5 - 12*v**4 + 4*v**3 + 12*v**2 - 8*v = 0?
-1, 0, 1, 2
Solve 2*m**5 + 64*m**4/3 - 392*m**3/3 + 12*m**2 + 342*m + 180 = 0.
-15, -1, -2/3, 3
Factor -w**4/9 - 4*w**3/9 - 2*w**2/9 + 4*w/9 + 1/3.
-(w - 1)*(w + 1)**2*(w + 3)/9
Find v, given that v**2/2 + 15*v + 108 = 0.
-18, -12
Let -4*y**3 - 396*y**2 - 13068*y - 143748 = 0. What is y?
-33
Solve -3*u**2 - 1266*u - 1263 = 0.
-421, -1
Suppose -l**3/4 + 53*l**2/2 - 728*l + 1352 = 0. What is l?
2, 52
Determine s, given that 2*s**3 - 8*s**2 - 10*s = 0.
-1, 0, 5
Determine b, given that 4*b**3 + 112*b**2 + 720*b = 0.
-18, -10, 0
Suppose 2*w**4 + 30*w**3 + 138*w**2 + 130*w - 300 = 0. Calculate w.
-6, -5, 1
Factor 4*w**2 + 260*w - 1400.
4*(w - 5)*(w + 70)
Factor -5*y**4 - 2485*y**3 - 7425*y**2 - 7415*y - 2470.
-5*(y + 1)**3*(y + 494)
Suppose -4*c**5/3 + 20*c**4/3 - 7*c**3 - 16*c**2/3 + 23*c/3 - 2 = 0. Calculate c.
-1, 1/2, 2, 3
Determine c so that -3*c**3/8 + 39*c**2/4 + 3*c/8 - 39/4 = 0.
-1, 1, 26
Solve x**4/6 - 40*x**3/3 = 0 for x.
0, 80
Let 5*w**5/2 + 137*w**4/2 + 1029*w**3/2 + 1235*w**2/2 + 169*w = 0. Calculate w.
-13, -1, -2/5, 0
What is m in -14*m**4 + 46*m**3 - 40*m**2 + 8*m = 0?
0, 2/7, 1, 2
What is c in 2*c**3/23 + 42*c**2/23 + 40*c/23 = 0?
-20, -1, 0
Suppose -2*g**4/11 - 208*g**3/11 - 4748*g**2/11 + 3120*g - 4950 = 0. Calculate g.
-55, 3
Factor -f**3/3 - 10*f**2/3 - 4*f + 24.
-(f - 2)*(f + 6)**2/3
Solve -9*z**5 + 60*z**4 - 24*z**3 - 78*z**2 + 33*z + 18 = 0 for z.
-1, -1/3, 1, 6
Suppose 20*n**2 - 15*n - 5 = 0. Calculate n.
-1/4, 1
Factor -b**4/3 - 6*b**3 + 83*b**2/3 - 36*b + 44/3.
-(b - 2)*(b - 1)**2*(b + 22)/3
Factor -2*l**3/7 - 248*l**2/7 - 1024*l + 32768/7.
-2*(l - 4)*(l + 64)**2/7
Factor 2*h**4 - 52*h**3 + 298*h**2 - 632*h + 456.
2*(h - 19)*(h - 3)*(h - 2)**2
Determine p, given that -p**5 - 17*p**4 - 82*p**3 - 116*p**2 + 56*p + 160 = 0.
-10, -4, -2, 1
Factor 4*k**2 - 20*k - 144.
4*(k - 9)*(k + 4)
Determine l, given that 3*l**4 - 18*l**3 + 15*l**2 = 0.
0, 1, 5
Let 27*y**4 - 5850*y**3 + 312951*y**2 + 425100*y + 142572 = 0. Calculate y.
-2/3, 109
Solve -w**4/2 + 17*w**3 - 123*w**2/2 + 45*w = 0.
0, 1, 3, 30
Suppose -i**3/2 - 25*i**2 - 47*i/2 + 49 = 0. What is i?
-49, -2, 1
Factor 3*r**2 - 165*r - 168.
3*(r - 56)*(r + 1)
Find b such that -3*b**4/7 - 6*b**3 + 417*b**2/7 - 552*b/7 - 144 = 0.
-21, -1, 4
Let 30*m**2/7 - 18*m - 120/7 = 0. What is m?
-4/5, 5
Factor j**4/4 - 2*j**3 - 69*j**2/2 + 154*j + 5929/4.
(j - 11)**2*(j + 7)**2/4
Factor 434*q**2 - 240*q - 104.
2*(7*q + 2)*(31*q - 26)
Suppose -10*v**5 - 78*v**4 - 2*v**3 + 342*v**2 - 252*v = 0. What is v?
-7, -3, 0, 1, 6/5
Determine n so that 3*n**5 - 120*n**4 + 1311*n**3 - 2166*n**2 = 0.
0, 2, 19
Factor -d**3/9 - 10*d**2/9 - 29*d/9 - 20/9.
-(d + 1)*(d + 4)*(d + 5)/9
Suppose d**3/4 - 73*d**2 + 869*d/4 - 289/2 = 0. Calculate d.
1, 2, 289
Factor -2*f**4/3 - 2*f**3 + 8*f**2/3.
-2*f**2*(f - 1)*(f + 4)/3
Determin