b**4/2 + 24*b**3 - 3*b**2/2 - 24*b = 0.
-16, -1, 0, 1
Let 3*i**4 + 30*i**3 - 117*i**2 = 0. Calculate i.
-13, 0, 3
Let 845*j**4 - 10*j**3 - 845*j**2 + 10*j = 0. What is j?
-1, 0, 2/169, 1
Factor -3*x**2 + 1029*x + 2070.
-3*(x - 345)*(x + 2)
Solve 2*q**3 + 410*q**2 + 408*q = 0 for q.
-204, -1, 0
Factor -5*r**4 + 110*r**3 - 605*r**2.
-5*r**2*(r - 11)**2
What is g in 5*g**3 + 210*g**2 - 2475*g + 6500 = 0?
-52, 5
Factor -4*y**3 + 120*y**2 + 828*y + 1296.
-4*(y - 36)*(y + 3)**2
Find z, given that 2*z**3/13 + 16*z**2/13 + 24*z/13 = 0.
-6, -2, 0
Factor c**4/4 + 9*c**3 + 207*c**2/2 + 405*c + 2025/4.
(c + 3)**2*(c + 15)**2/4
Find p, given that 25*p**4 - 160*p**3 + 260*p**2 - 80*p = 0.
0, 2/5, 2, 4
Factor 2*t**3/11 - 8*t**2/11 - 6*t/11 + 36/11.
2*(t - 3)**2*(t + 2)/11
Factor q**3 + 4*q**2 - 32*q.
q*(q - 4)*(q + 8)
Find r, given that 2*r**5/13 + 2*r**4 + 114*r**3/13 + 190*r**2/13 + 100*r/13 = 0.
-5, -2, -1, 0
Factor -d**4 - 12*d**3 - 23*d**2 + 36*d.
-d*(d - 1)*(d + 4)*(d + 9)
Factor -w**5 + 8*w**4 - 20*w**3 + 16*w**2.
-w**2*(w - 4)*(w - 2)**2
Factor -k**2/2 + 709*k + 1419/2.
-(k - 1419)*(k + 1)/2
Determine z, given that -2*z**4/13 - 14*z**3/13 + 6*z**2/13 + 110*z/13 - 100/13 = 0.
-5, 1, 2
Determine q so that -q**3/5 + 9*q**2/5 + 36*q/5 = 0.
-3, 0, 12
Factor 4*m**3 + 44*m**2 + 104*m + 64.
4*(m + 1)*(m + 2)*(m + 8)
Determine d so that -16*d**4/3 + 164*d**3/3 - 184*d**2 + 640*d/3 - 128/3 = 0.
1/4, 2, 4
What is r in -5*r**5 + 25*r**4 + 200*r**3 - 700*r**2 + 480*r = 0?
-6, 0, 1, 2, 8
Factor -5*u**2 - 115*u - 510.
-5*(u + 6)*(u + 17)
Factor -5*j**2 - 460*j + 6825.
-5*(j - 13)*(j + 105)
Determine x, given that -x**3/4 + 9*x**2/4 + 35*x/2 = 0.
-5, 0, 14
Solve 2*x**3/13 + 2*x**2/13 - 10*x/13 + 6/13 = 0 for x.
-3, 1
Find y, given that -y**3/4 - 19*y**2/4 - 63*y/4 - 45/4 = 0.
-15, -3, -1
Suppose -2*x**3 - 76*x**2 - 74*x = 0. What is x?
-37, -1, 0
Suppose -5120*a**3 + 320*a**2 - 5*a = 0. What is a?
0, 1/32
Find y, given that y**5 - 36*y**4 + 34*y**3 + 36*y**2 - 35*y = 0.
-1, 0, 1, 35
Factor 5*c**3 + 70*c**2 - 155*c + 80.
5*(c - 1)**2*(c + 16)
Suppose -3*s**3 - 9*s**2 = 0. Calculate s.
-3, 0
Determine d so that -3*d**5/8 + 63*d**4/8 - 183*d**3/4 - 45*d**2/2 + 837*d - 1620 = 0.
-4, 3, 6, 10
Factor -r**3/9 - 4*r**2/9 + 5*r/3 + 2.
-(r - 3)*(r + 1)*(r + 6)/9
Factor -o**3/5 + 141*o**2/5 - 6039*o/5 + 16335.
-(o - 75)*(o - 33)**2/5
Factor -5*v**4 - 790*v**3 - 27885*v**2 + 262280*v - 551120.
-5*(v - 4)**2*(v + 83)**2
Determine h so that 3*h**4 - 6*h**3 + 3*h**2 = 0.
0, 1
Factor 2*d**4 - 11732*d**3 + 17204978*d**2.
2*d**2*(d - 2933)**2
Let -2*m**2 - 32*m + 1672 = 0. What is m?
-38, 22
Find r such that -4*r**4/9 - 106*r**3/9 - 14*r**2/3 + 256*r/9 - 104/9 = 0.
-26, -2, 1/2, 1
Let -2*a**3/5 - 6*a**2/5 - 4*a/5 = 0. What is a?
-2, -1, 0
Factor 243*a**4/5 + 378*a**3/5 - 204*a**2/5 + 24*a/5.
3*a*(a + 2)*(9*a - 2)**2/5
Determine n so that n**5 - 7*n**4 + 12*n**3 + 4*n**2 - 16*n = 0.
-1, 0, 2, 4
Factor i**4/4 - 17*i**3/4 + 85*i**2/4 - 159*i/4 + 45/2.
(i - 10)*(i - 3)**2*(i - 1)/4
Factor 4*b**4 + 12*b**3 - 28*b**2 - 60*b + 72.
4*(b - 2)*(b - 1)*(b + 3)**2
Solve 4*x**5/7 + 12*x**4/7 - 188*x**3/7 + 276*x**2/7 + 184*x/7 - 288/7 = 0.
-9, -1, 1, 2, 4
Suppose -2*l**5/9 - 22*l**4/9 + 40*l**3/3 - 32*l**2/9 - 448*l/9 + 160/3 = 0. What is l?
-15, -2, 2
Solve o**4/5 - 9*o**3/5 + 7*o**2/5 + 9*o/5 - 8/5 = 0 for o.
-1, 1, 8
Determine y so that 2*y**3 - 11*y**2/6 + y/3 = 0.
0, 1/4, 2/3
Solve -16*b**3 + 134*b**2 - 304*b + 96 = 0.
3/8, 4
What is n in -2*n**4/3 + 19*n**3/3 + 14*n**2 - 33*n = 0?
-3, 0, 3/2, 11
What is u in -3*u**2 + 921*u = 0?
0, 307
Suppose 4*i**2 + 756*i - 760 = 0. Calculate i.
-190, 1
Factor -j**4 + 18*j**3 - 16*j**2 - 18*j + 17.
-(j - 17)*(j - 1)**2*(j + 1)
Factor -2*u**2 + 247*u + 124.
-(u - 124)*(2*u + 1)
Find f such that f**4/2 + 7*f**3 = 0.
-14, 0
Determine w so that -2*w**2 + 596*w - 44402 = 0.
149
Factor 5*y**4 - 45*y**3 + 145*y**2 - 195*y + 90.
5*(y - 3)**2*(y - 2)*(y - 1)
Factor -87*p**3 + 192*p**2 - 123*p + 18.
-3*(p - 1)**2*(29*p - 6)
Factor -2*k**5/9 + 620*k**4/9 - 23920*k**3/3 + 405600*k**2 - 7381920*k - 16451136.
-2*(k - 78)**4*(k + 2)/9
Find q, given that 2*q**4/5 - 414*q**3/5 + 19914*q**2/5 + 157718*q/5 + 137388/5 = 0.
-6, -1, 107
Factor d**3/5 - 2*d**2/5 - d/5 + 2/5.
(d - 2)*(d - 1)*(d + 1)/5
Determine q so that 3*q**3 + 3*q**2 - 27*q - 27 = 0.
-3, -1, 3
Factor -2*l**4/15 + 4*l**3/15 + 16*l**2/15.
-2*l**2*(l - 4)*(l + 2)/15
Determine g so that -2*g**5/7 + 6*g**4/7 - 8*g**2/7 = 0.
-1, 0, 2
Factor 68*r**2 + 76*r + 8.
4*(r + 1)*(17*r + 2)
Factor 4*g**4/5 + 404*g**3/5 + 1184*g**2/5 + 784*g/5.
4*g*(g + 1)*(g + 2)*(g + 98)/5
Factor -3256352*x**2/3 + 5104*x/3 - 2/3.
-2*(1276*x - 1)**2/3
What is y in 2*y**2/5 + 268*y/5 + 8978/5 = 0?
-67
Factor 3*o**3/2 + 3*o**2/2 - 6*o - 6.
3*(o - 2)*(o + 1)*(o + 2)/2
Factor -2*g**4 - 38*g**3 - 154*g**2 - 202*g - 84.
-2*(g + 1)**2*(g + 3)*(g + 14)
Let -w**2 + 69*w/4 - 17/4 = 0. What is w?
1/4, 17
Factor -3*u**2 + 171*u - 636.
-3*(u - 53)*(u - 4)
Factor 2*x**3 + 32*x**2 + 154*x + 196.
2*(x + 2)*(x + 7)**2
Let -a**2/2 - 7*a/2 - 3 = 0. What is a?
-6, -1
Let 5*y**2 - 45*y = 0. Calculate y.
0, 9
Factor -l**3/4 + 5*l**2/2 - 7*l/4 - 9/2.
-(l - 9)*(l - 2)*(l + 1)/4
Factor 2*w**2/5 - 32*w/5 + 128/5.
2*(w - 8)**2/5
Find v, given that -3*v**5/4 - 3927*v**4/4 - 855429*v**3/2 - 123463425*v**2/2 + 499001997*v/4 - 250360359/4 = 0.
-437, 1
Factor -3*x**3/2 - 18*x**2 - 33*x/2.
-3*x*(x + 1)*(x + 11)/2
Factor -2*p**3/7 - 1156*p**2/7 - 6882*p/7 - 10296/7.
-2*(p + 3)**2*(p + 572)/7
Factor 3*p**4 - 246*p**3 + 4791*p**2 + 10332*p + 5292.
3*(p - 42)**2*(p + 1)**2
Suppose 80*p**5 + 40*p**4 - 835*p**3 + 1045*p**2 - 370*p + 40 = 0. Calculate p.
-4, 1/4, 1, 2
Factor o**3/5 - 114*o**2/5 - 516*o - 2680.
(o - 134)*(o + 10)**2/5
Solve 56*h**5 - 1300*h**4 + 3768*h**3 - 3380*h**2 + 376*h + 480 = 0.
-2/7, 1, 3/2, 20
Factor -o**2 + 66*o - 360.
-(o - 60)*(o - 6)
Solve 2*d**4 - 6*d**3 - 48*d**2 + 160*d = 0.
-5, 0, 4
Let -27*v**5 + 54*v**4 + 39*v**3 - 78*v**2 - 12*v + 24 = 0. Calculate v.
-1, -2/3, 2/3, 1, 2
Suppose -3*g**5 - 126*g**4 - 1506*g**3 - 3096*g**2 + 11229*g - 6498 = 0. What is g?
-19, -6, 1
Find i such that 5*i**2 + 2100*i + 220500 = 0.
-210
Determine y so that -2*y**4/7 - 6*y**3 + 90*y**2/7 - 46*y/7 = 0.
-23, 0, 1
Factor -25*p**4 - 255*p**3 - 479*p**2 - 321*p - 72.
-(p + 1)*(p + 8)*(5*p + 3)**2
Let 37*w**5/3 + 2*w**4 - 37*w**3/3 - 2*w**2 = 0. Calculate w.
-1, -6/37, 0, 1
Factor -4*g**4 - 3*g**3 + 25*g**2 - 6*g.
-g*(g - 2)*(g + 3)*(4*g - 1)
Factor 115*o**2 + 2755*o - 120.
5*(o + 24)*(23*o - 1)
Determine t so that 3*t**3 + 33*t**2 - 75*t + 39 = 0.
-13, 1
Suppose 4*h**5/9 + 56*h**4/9 + 176*h**3/9 + 160*h**2/9 = 0. What is h?
-10, -2, 0
Solve m**3/2 - 28*m**2 + 54*m = 0 for m.
0, 2, 54
Suppose -3*f**4 + 840*f**3 - 2502*f**2 + 2496*f - 831 = 0. Calculate f.
1, 277
Suppose 4*m**3/7 + 4*m**2/7 - 8*m/7 = 0. What is m?
-2, 0, 1
Solve -4*c**5 - 48*c**4 - 116*c**3 + 168*c**2 + 576*c = 0.
-8, -3, 0, 2
Let 5*t**3 - 395*t**2 + 7995*t - 7605 = 0. What is t?
1, 39
Solve -a**5/8 + 9*a**4/8 - 7*a**3/8 - 9*a**2/8 + a = 0.
-1, 0, 1, 8
Solve -g**4 - 160*g**3 + 1011*g**2 + 2498*g + 1328 = 0.
-166, -1, 8
Find s, given that 4*s**5/3 - 16*s**4 + 28*s**3 - 40*s**2/3 = 0.
0, 1, 10
Find t such that -20*t**4/13 + 298*t**3/13 + 30*t**2/13 = 0.
-1/10, 0, 15
Factor -3*w**3 - 81*w**2 + 360*w - 372.
-3*(w - 2)**2*(w + 31)
Factor 3*z**3/7 + 114*z**2/7.
3*z**2*(z + 38)/7
Factor 5*u**2 + 18*u + 13.
(u + 1)*(5*u + 13)
Find l such that -5*l**4/2 - 4043*l**3/3 - 16667*l**2/6 - 5372*l/3 - 358 = 0.
-537, -1, -2/3, -2/5
Determine z so that z**5/3 + z**4/3 - 2*z**3/3 - 2*z**2/3 + z/3 + 1/3 = 0.
-1, 1
Factor -2*z**3/3 - 290*z**2/3 - 96*z.
-2*z*(z + 1)*(z + 144)/3
Factor 20*k**4 - 48*k**3 + 36*k**2 - 8*k.
4*k*(k - 1)**2*(5*k - 2)
Suppose 4*d**2 + 336*d = 0. Calculate d.
-84, 0
Factor -2*u**3/3 + 28*u**2 - 160*u/3.
-2*u*(u - 40)*(u - 2)/3
Factor 35*n**3 + 495*n**2 + 1785*n + 245.
5*(n + 7)**2*(7*n + 1)
Factor 12*q**2 - 26*q + 4.
2*(q - 2)*(6*q - 1)
What is h in -2*h**2/9 - 276*h - 85698 = 0?
-621
Let 5*u**3 - 35*u**2 - 5*u + 35 = 0. Calculate u.
-1, 1, 7
What is m in 6*m**5 + 58*m**4 - 332*m**3 + 440*m**2 - 112*m = 0?
-14, 0, 1/3, 2
Factor 5*v**3 + 310*v**2 + 5100*v + 9000.
5*(v + 2)*(v + 30)**2
Solve 2*w**5 - 