
0, 583
Solve -5*p**5 + 25*p**4 + 50*p**3 - 250*p**2 - 45*p + 225 = 0.
-3, -1, 1, 3, 5
Let 3*v**2 + 360*v - 732 = 0. Calculate v.
-122, 2
Factor -4*z**3 - 32*z**2 + 148*z + 176.
-4*(z - 4)*(z + 1)*(z + 11)
What is q in q**2/4 - 19*q/4 - 5 = 0?
-1, 20
Find f such that 21*f**3/2 + 15*f**2/2 - 66*f + 18 = 0.
-3, 2/7, 2
Solve v**3/5 - 7*v**2/5 - 136*v/5 - 128/5 = 0 for v.
-8, -1, 16
Factor -3*i**2 - 1620*i - 218700.
-3*(i + 270)**2
Factor -k**2 - 540*k + 541.
-(k - 1)*(k + 541)
Factor 12*k**2 - 51*k - 45.
3*(k - 5)*(4*k + 3)
Factor -2*g**3/11 - 36*g**2/11 - 6*g - 32/11.
-2*(g + 1)**2*(g + 16)/11
What is h in 3*h**3 + 741*h**2 - 1494*h = 0?
-249, 0, 2
Factor -i**3/3 - 127*i**2/3 - 4543*i/3 - 10443.
-(i + 9)*(i + 59)**2/3
Solve -2*p**2/13 + 40*p/13 + 448/13 = 0 for p.
-8, 28
Factor 3*v**2/5 + 42*v/5 + 99/5.
3*(v + 3)*(v + 11)/5
Suppose -2*w**2 - 6*w + 108 = 0. What is w?
-9, 6
Determine t, given that 6*t**5 - 146*t**4 + 318*t**3 - 222*t**2 + 44*t = 0.
0, 1/3, 1, 22
Solve 12*n**4 - 200*n**3 - 532*n**2 - 16*n + 304 = 0 for n.
-2, -1, 2/3, 19
Factor 21218*d**2/15 - 412*d/5 + 6/5.
2*(103*d - 3)**2/15
Let 2*k**3/7 + 30*k**2/7 + 96*k/7 - 128/7 = 0. Calculate k.
-8, 1
What is n in -3*n**5/5 - 42*n**4/5 + 54*n**3/5 + 852*n**2/5 + 1389*n/5 + 126 = 0?
-14, -3, -1, 5
Let -5*f**2 + 160*f - 1275 = 0. Calculate f.
15, 17
Factor 3*z**3 + 79*z**2 - 138*z + 56.
(z - 1)*(z + 28)*(3*z - 2)
Solve -j**3 - j**2 + 25*j + 25 = 0.
-5, -1, 5
Factor 2*w**3/7 + 256*w**2/7 - 1318*w/7 + 228.
2*(w - 3)*(w - 2)*(w + 133)/7
Determine p, given that 5*p**2 - 1350*p + 91125 = 0.
135
What is v in -2*v**2/13 - 6*v/13 + 20/13 = 0?
-5, 2
Find l such that 2*l**3 + 202*l**2 + 398*l + 198 = 0.
-99, -1
Factor -2*s**3 - 34*s**2 - 140*s.
-2*s*(s + 7)*(s + 10)
Find g, given that 2*g**5/11 + 16*g**4/11 - 40*g**3/11 + 4*g**2/11 + 38*g/11 - 20/11 = 0.
-10, -1, 1
Find i, given that 45*i**4 + 1720*i**3 + 1955*i**2 - 2980*i - 740 = 0.
-37, -2, -2/9, 1
Let -2*d**2/5 - 12*d/5 + 14/5 = 0. Calculate d.
-7, 1
Solve -4*w**5 + 16*w**4 + 144*w**3 + 296*w**2 + 244*w + 72 = 0 for w.
-2, -1, 9
Suppose -1418*j**3/7 + 2834*j**2/7 - 202*j - 2/7 = 0. What is j?
-1/709, 1
Factor -10*x**2 - 104*x - 40.
-2*(x + 10)*(5*x + 2)
Suppose -o**2/8 - 59*o/4 - 3481/8 = 0. Calculate o.
-59
Factor -5*o**2 + 255*o - 250.
-5*(o - 50)*(o - 1)
Factor 3*i**3/4 - 39*i**2 + 276*i - 528.
3*(i - 44)*(i - 4)**2/4
Factor n**4/3 + 11*n**3/3 + 14*n**2/3 - 44*n/3 - 24.
(n - 2)*(n + 2)**2*(n + 9)/3
Factor -z**3/2 + 19*z**2/2 + 248*z + 1120.
-(z - 35)*(z + 8)**2/2
Factor 4*y**2 + 2844*y + 5672.
4*(y + 2)*(y + 709)
Find g, given that -242*g**5/3 + 1298*g**4/3 - 1174*g**3/3 - 1874*g**2/3 + 256*g - 24 = 0.
-1, 2/11, 3
Factor -2*v**5/5 - 60*v**4 - 2874*v**3 - 37336*v**2 + 308256*v - 2530944/5.
-2*(v - 3)**2*(v + 52)**3/5
Factor t**5/3 + t**4/3 - 2*t**3 + 2*t**2/3 + 5*t/3 - 1.
(t - 1)**3*(t + 1)*(t + 3)/3
Factor s**2/4 - 25*s + 625.
(s - 50)**2/4
Suppose -n**3 - 341*n**2 = 0. What is n?
-341, 0
Factor o**2 - 8*o + 15.
(o - 5)*(o - 3)
Factor 12*m**4 + 27*m**3 + 18*m**2 + 3*m.
3*m*(m + 1)**2*(4*m + 1)
What is u in -5*u**2 + 45*u - 100 = 0?
4, 5
Solve 8*c**2 + 17*c + 9 = 0 for c.
-9/8, -1
Factor 2*j**3/3 + 130*j**2/3 + 254*j/3 + 42.
2*(j + 1)**2*(j + 63)/3
Determine k, given that 2*k**5/5 - 162*k**4/5 + 4204*k**3/5 - 30128*k**2/5 - 122304*k/5 - 87808/5 = 0.
-2, -1, 28
Determine m so that -2*m**4/7 - 20*m**3/7 + 48*m**2/7 = 0.
-12, 0, 2
Factor -2*o**4/3 + 125*o**3/9 - 287*o**2/3 + 637*o/3 + 343/9.
-(o - 7)**3*(6*o + 1)/9
Determine k so that -k**4/10 + 36*k**3/5 - 141*k**2/10 + 7*k = 0.
0, 1, 70
Find b, given that 3*b**2 - 282*b = 0.
0, 94
Let -5*u**3 - 55*u**2 + 170*u + 520 = 0. Calculate u.
-13, -2, 4
Determine s, given that 5*s**5 - 15*s**4 - 5*s**3 + 55*s**2 - 60*s + 20 = 0.
-2, 1, 2
Factor 3*u**3/7 + 57*u**2/7 + 180*u/7.
3*u*(u + 4)*(u + 15)/7
Determine y, given that -20*y**5 - 88*y**4 - 92*y**3 + 56*y**2 + 112*y + 32 = 0.
-2, -1, -2/5, 1
Find k, given that -98*k**4/13 - 24360*k**3/13 + 10506*k**2/13 + 920*k + 1992/13 = 0.
-249, -2/7, 1
Factor 15*v**3 - 369*v**2 + 693*v - 339.
3*(v - 1)**2*(5*v - 113)
Find d such that d**2 + 4128*d + 4260096 = 0.
-2064
What is w in w**2 + 9*w + 18 = 0?
-6, -3
Determine o so that 2*o**2/9 + 38*o/9 - 28/3 = 0.
-21, 2
Suppose -z**3/4 + 13*z**2/2 + 55*z/4 + 7 = 0. Calculate z.
-1, 28
Determine p so that -p**4/5 - 11*p**3 - 728*p**2/5 + 784*p/5 = 0.
-28, 0, 1
What is s in -100*s**4 - 595*s**3 - 470*s**2 + 1225*s - 60 = 0?
-4, -3, 1/20, 1
Factor 5*y**5 - 15*y**4 - 2145*y**3 + 19435*y**2.
5*y**2*(y - 13)**2*(y + 23)
Factor -4*l**4 + 72*l**2 - 128*l + 60.
-4*(l - 3)*(l - 1)**2*(l + 5)
Determine i so that -i**2/12 - 91*i/4 + 277/3 = 0.
-277, 4
Factor -3*l**4 - 90*l**3 - 792*l**2 - 726*l + 11979.
-3*(l - 3)*(l + 11)**3
Find d such that d**5/5 + 34*d**4/5 + 24*d**3 - 16*d**2/5 - 496*d/5 - 96 = 0.
-30, -2, 2
Suppose -3*g**2 + 1683*g - 1680 = 0. Calculate g.
1, 560
Factor s**4 - 8*s**3 - 105*s**2.
s**2*(s - 15)*(s + 7)
Suppose 3*k**4 - 291*k**3 + 5499*k**2 + 82839*k - 185394 = 0. Calculate k.
-11, 2, 53
Factor 3*v**4/7 - 144*v**3/7 + 1710*v**2/7 + 8664*v/7 - 185193/7.
3*(v - 19)**3*(v + 9)/7
Solve 2*i**5 + 6*i**4 - 2*i**3 - 14*i**2 + 8 = 0 for i.
-2, -1, 1
Find t, given that -4*t**4 + 10*t**3 - 2*t**2 - 4*t = 0.
-1/2, 0, 1, 2
Find k such that k**5/2 + 7*k**4 - 23*k**3/2 - 404*k**2 - 160*k + 6400 = 0.
-8, 5
Determine k so that k**4 + 6*k**3 + 9*k**2 = 0.
-3, 0
Let -c**4/10 - c**3/5 + c/5 + 1/10 = 0. What is c?
-1, 1
Let 7*j**5 + 44*j**4 + 5*j**3 - 44*j**2 - 12*j = 0. Calculate j.
-6, -1, -2/7, 0, 1
Factor -2*r**4/15 - 12*r**3/5.
-2*r**3*(r + 18)/15
Factor 128*m**5/9 - 18656*m**4/3 + 2032328*m**3/3 + 4593746*m**2/9 + 383396*m/3 + 10658.
2*(m - 219)**2*(4*m + 1)**3/9
Factor -4*h**2 + 280*h - 4900.
-4*(h - 35)**2
Factor -i**4/9 - 8*i**3/9 - 7*i**2/3 - 22*i/9 - 8/9.
-(i + 1)**2*(i + 2)*(i + 4)/9
Let -3*s**2/4 + 603*s/4 + 303/2 = 0. Calculate s.
-1, 202
Factor -2*o**3/9 - 52*o**2/9 + 6*o.
-2*o*(o - 1)*(o + 27)/9
Factor -4*b**2 - 180*b - 936.
-4*(b + 6)*(b + 39)
Factor -2*i**2/13 + 840*i/13 - 88200/13.
-2*(i - 210)**2/13
Factor 3*q**2 - 138*q - 288.
3*(q - 48)*(q + 2)
Let -72*q**4/5 + 54*q**3/5 + 26*q**2/5 - 6*q/5 - 2/5 = 0. Calculate q.
-1/3, -1/4, 1/3, 1
Suppose 2*q**2/3 + 874*q/3 - 1756/3 = 0. What is q?
-439, 2
Factor m**4/3 + 263*m**3/3 - 1337*m**2/3 + 271*m + 804.
(m - 3)**2*(m + 1)*(m + 268)/3
Let -t**3 - 51*t**2 + 216*t - 220 = 0. What is t?
-55, 2
Factor -j**4/3 - 94*j**3/3.
-j**3*(j + 94)/3
Factor -21*b**2 - 1779*b + 510.
-3*(b + 85)*(7*b - 2)
Find d, given that -2*d**3/11 + 6*d**2/11 - 8/11 = 0.
-1, 2
Suppose 3*o**3 - 15*o**2 - 108*o = 0. Calculate o.
-4, 0, 9
Factor n**5 + 16*n**4 + 3*n**3 - 180*n**2.
n**2*(n - 3)*(n + 4)*(n + 15)
Let -4*z**5 - 76*z**4 - 8*z**3 + 3208*z**2 - 9204*z + 6084 = 0. What is z?
-13, 1, 3
Factor 2*r**3/3 - 390*r**2 + 57232*r - 170528/3.
2*(r - 292)**2*(r - 1)/3
Suppose 3*s**3 + 93*s**2 + 252*s = 0. What is s?
-28, -3, 0
Factor r**2 - 82*r + 1681.
(r - 41)**2
Determine k so that -k**2/6 + 11*k/6 + 2 = 0.
-1, 12
Factor j**3 - 6*j**2 - j + 30.
(j - 5)*(j - 3)*(j + 2)
Let -2*f**3 - 10*f**2 - 16*f - 8 = 0. Calculate f.
-2, -1
Let 2*p**4/15 - 176*p**3/15 + 994*p**2/15 - 164*p/3 = 0. What is p?
0, 1, 5, 82
Let -14*j**5 - 172*j**4 + 806*j**3 - 428*j**2 - 192*j = 0. What is j?
-16, -2/7, 0, 1, 3
Factor v**5 + 13*v**4 + 46*v**3 + 44*v**2 - 40*v - 64.
(v - 1)*(v + 2)**3*(v + 8)
Factor -v**3 - 4*v**2 + 51*v + 54.
-(v - 6)*(v + 1)*(v + 9)
Factor 2*k**3/3 - 148*k**2/3 - 616*k/3 - 208.
2*(k - 78)*(k + 2)**2/3
Factor l**2 - 60*l - 1600.
(l - 80)*(l + 20)
Factor -5*m**2 - 150*m + 155.
-5*(m - 1)*(m + 31)
Determine c, given that -4*c**3/5 + 148*c**2/5 + 152*c/5 = 0.
-1, 0, 38
Factor 80*z**3 - 120*z**2 - 75*z - 10.
5*(z - 2)*(4*z + 1)**2
Factor d**4/2 + 27*d**3 + 729*d**2/2.
d**2*(d + 27)**2/2
Factor -4*y**2 - 648*y - 1908.
-4*(y + 3)*(y + 159)
Factor 48*y**3 - 220*y**2 + 76*y + 344.
4*(y - 2)*(y + 1)*(12*y - 43)
Solve 4*m**5 - 32*m**4 + 84*m**3 - 56*m**2 - 80*m + 96 = 0 for m.
-1, 2, 3
Factor -a**2/5 + 37*a.
-a*(a - 185)/5
Factor -2*m**2/7 + 248*m/7 - 7688/7.
-2*(m - 62)**2/7
Determine h, given that -25*h**5 + 20*h**4 + 80*h**3 - 110*h**2 + 25*h + 10 = 0.
-2, -1/5, 1
Factor -2*d**3/13 - 8*d**2/13 + 22*d/13 - 12/