- 16*l**3 + 68*l**2 - 352*l/3 + 64.
4*(l - 4)**2*(l - 3)*(l - 1)/3
Let -5*o**2 + 51960*o - 134992080 = 0. What is o?
5196
Find j such that -60*j**3/7 - 46*j**2/7 + 18*j/7 + 4/7 = 0.
-1, -1/6, 2/5
Factor -2*g**2/7 + 460*g/7 - 26450/7.
-2*(g - 115)**2/7
Suppose 5*z**5 - 30*z**4 + 55*z**3 - 30*z**2 = 0. Calculate z.
0, 1, 2, 3
Solve -35*k**5 - 220*k**4 - 480*k**3 - 400*k**2 - 80*k = 0 for k.
-2, -2/7, 0
Factor -2*n**2/3 - 68*n - 202/3.
-2*(n + 1)*(n + 101)/3
Suppose 11*p**5/2 - 12*p**4 + 15*p**3/2 - p**2 = 0. Calculate p.
0, 2/11, 1
Factor -v**3/7 + 6*v**2/7 - 5*v/7.
-v*(v - 5)*(v - 1)/7
Factor -2*b**2/3 - 56*b/3 - 64.
-2*(b + 4)*(b + 24)/3
Let -42*g**5 + 424*g**4 - 1552*g**3 + 2496*g**2 - 1568*g + 128 = 0. Calculate g.
2/21, 2, 4
Determine y, given that -y**2/6 - 185*y/3 - 123/2 = 0.
-369, -1
Solve b**5 + 11*b**4 - 75*b**3 - 427*b**2 + 490*b = 0.
-14, -5, 0, 1, 7
Solve -4*t**5/7 + 8*t**4/7 + 52*t**3/7 + 40*t**2/7 = 0 for t.
-2, -1, 0, 5
Solve 4*b**3/5 + 122*b**2/5 - 324*b/5 + 198/5 = 0.
-33, 1, 3/2
What is m in 180*m**4 + 542*m**3 + 546*m**2 + 186*m + 2 = 0?
-1, -1/90
Solve 5*p**3 + 115*p**2/2 - 545*p/2 - 150 = 0.
-15, -1/2, 4
Solve 2*w**4 - 42*w**3 + 236*w**2 - 120*w - 400 = 0 for w.
-1, 2, 10
Factor 5*y**5 + 20*y**4 - 2010*y**3 - 27540*y**2 - 112995*y - 87480.
5*(y - 24)*(y + 1)*(y + 9)**3
Factor -3*a**2/2 + 19392*a - 62674944.
-3*(a - 6464)**2/2
Find g such that 2*g**3/5 + 274*g**2/5 + 10032*g/5 + 8712 = 0.
-66, -5
Suppose -3*r**2 - 19032*r - 30184752 = 0. What is r?
-3172
Let -16*d**5 - 364*d**4 - 2932*d**3 - 9436*d**2 - 8428*d + 2744 = 0. Calculate d.
-7, -2, 1/4
Factor 2*i**3/17 - 336*i**2/17 - 18*i/17 + 3024/17.
2*(i - 168)*(i - 3)*(i + 3)/17
Solve w**3 + 10*w**2 - 4*w - 40 = 0.
-10, -2, 2
Determine q so that q**3 + 7*q**2 - 40*q + 44 = 0.
-11, 2
Suppose -8*f**2/9 + 130*f - 292/9 = 0. Calculate f.
1/4, 146
What is m in 5*m**5/4 + 13*m**4/2 - 5*m**3/2 - 17*m**2 + 37*m/4 + 5/2 = 0?
-5, -2, -1/5, 1
Factor -s**2/2 + 268*s - 35912.
-(s - 268)**2/2
Factor q**5/6 + q**4/2 - q**3/3 - 2*q**2 - 4*q/3.
q*(q - 2)*(q + 1)*(q + 2)**2/6
Factor v**2/3 + 161*v/3.
v*(v + 161)/3
Find n, given that -2*n**5/7 - 10*n**4 - 572*n**3/7 + 792*n**2/7 + 1296*n/7 = 0.
-18, -1, 0, 2
Let 51*z**3 - 8166*z**2 - 15564*z + 1944 = 0. What is z?
-2, 2/17, 162
Solve -10*b**2 + 1854*b - 740 = 0.
2/5, 185
Solve -h**2 - 108*h - 2916 = 0 for h.
-54
Solve -3*l**2 - 120*l - 957 = 0 for l.
-29, -11
Suppose -48*a**4 - 28*a**3 + 44*a**2 + 28*a + 4 = 0. Calculate a.
-1, -1/3, -1/4, 1
Let 11*c**2 + 409*c + 74 = 0. What is c?
-37, -2/11
Determine z so that -5*z**3 + 20*z**2 + 5*z - 20 = 0.
-1, 1, 4
Factor 3*g**3 + 906*g**2 - 1821*g + 912.
3*(g - 1)**2*(g + 304)
Let -2*k**5/5 + 16*k**3/5 - 12*k**2/5 - 14*k/5 + 12/5 = 0. Calculate k.
-3, -1, 1, 2
Determine p so that -2*p**4 + 4*p**2 - 2 = 0.
-1, 1
Factor 2*f**3/7 - 4*f**2/7 - 26*f/7 - 20/7.
2*(f - 5)*(f + 1)*(f + 2)/7
Determine j, given that -959*j**4/6 + 829*j**3/3 - 145*j**2/2 - 134*j/3 + 2/3 = 0.
-2/7, 2/137, 1
Factor -2*g**3/5 - 46*g**2/5 + 3016*g/5.
-2*g*(g - 29)*(g + 52)/5
Factor j**3/6 + 3*j**2 - 25*j/6 - 119.
(j - 6)*(j + 7)*(j + 17)/6
Factor 3*i**2 + 726*i - 729.
3*(i - 1)*(i + 243)
Determine g so that 4*g**3/7 - 360*g**2/7 + 10800*g/7 - 108000/7 = 0.
30
Factor 4*w**2 + 528*w + 17424.
4*(w + 66)**2
Factor -39*p**3 + 504*p**2 - 1485*p + 972.
-3*(p - 9)*(p - 3)*(13*p - 12)
Factor 2*s**3/5 - 4*s**2 - 46*s/5 - 24/5.
2*(s - 12)*(s + 1)**2/5
Find i, given that 4*i**5 + 84*i**4 + 632*i**3 + 1968*i**2 + 2016*i = 0.
-7, -6, -2, 0
Factor 2*v**2/7 - 92*v/7.
2*v*(v - 46)/7
Solve b**2/8 - 7*b/2 + 49/2 = 0 for b.
14
Suppose w**3/11 + 27*w**2/11 - 38*w = 0. Calculate w.
-38, 0, 11
Factor d**4 - 51*d**3 + 357*d**2 - 565*d + 258.
(d - 43)*(d - 6)*(d - 1)**2
Solve 4*s**3/7 - 52*s**2/7 + 92*s/7 - 44/7 = 0.
1, 11
Solve -2*d**2 - 1416*d - 250632 = 0 for d.
-354
What is x in -5*x**4 + 495*x**3 + 5*x**2 - 495*x = 0?
-1, 0, 1, 99
Factor -2*l**5/9 - 80*l**4/9 - 1010*l**3/9 - 4300*l**2/9 - 7480*l/9 - 4624/9.
-2*(l + 2)**3*(l + 17)**2/9
Solve 2*m**3 + 26*m**2 - 98*m - 1274 = 0 for m.
-13, -7, 7
Solve 9*q**5/2 + 25*q**4/2 - 15*q**3/2 - 25*q**2/2 + 3*q = 0.
-3, -1, 0, 2/9, 1
Find h, given that 3*h**5 - 201*h**4 - 3*h**3 + 201*h**2 = 0.
-1, 0, 1, 67
Solve 34*t**4/13 + 106*t**3/13 - 22*t**2/13 - 106*t/13 - 12/13 = 0 for t.
-3, -1, -2/17, 1
Suppose 2*f**4 + 130*f**3 + 126*f**2 - 130*f - 128 = 0. What is f?
-64, -1, 1
Factor -4*w**3 - 4*w**2 + 8*w.
-4*w*(w - 1)*(w + 2)
Determine k, given that k**3/3 - 51*k**2 = 0.
0, 153
Determine o, given that o**2 + 605*o = 0.
-605, 0
Factor 15*k**3 - 30655*k**2 + 20430*k.
5*k*(k - 2043)*(3*k - 2)
Let -5*y**2 - 40*y - 60 = 0. What is y?
-6, -2
Solve 5*r**2 - 6235*r + 18660 = 0 for r.
3, 1244
Factor z**2/8 + 808*z + 1305728.
(z + 3232)**2/8
Solve 2*k**2/5 + 26*k/5 - 12 = 0.
-15, 2
Let -m**3/3 - 3*m**2 + 124*m/3 - 68 = 0. Calculate m.
-17, 2, 6
Factor 2*g**2 + 16*g.
2*g*(g + 8)
Factor m**4/7 - 2*m**3/7 - m**2/7 + 2*m/7.
m*(m - 2)*(m - 1)*(m + 1)/7
Find f, given that 4*f**2 - 376*f + 372 = 0.
1, 93
Find d, given that -2*d**4/3 - 80*d**3/3 - 74*d**2 + 8*d/3 + 296/3 = 0.
-37, -2, 1
Factor g**5 - 11*g**4 + 30*g**3 + 22*g**2 - 95*g - 75.
(g - 5)**2*(g - 3)*(g + 1)**2
Solve 50*i**3/9 - 20*i**2/9 - 128*i/9 - 64/9 = 0.
-4/5, 2
Factor -2*k**2 + 54*k + 56.
-2*(k - 28)*(k + 1)
Factor -2*g**2/3 - 40*g/3 - 24.
-2*(g + 2)*(g + 18)/3
Factor -12*w**4 - 645*w**3 - 11502*w**2 - 67068*w + 17496.
-3*(w + 18)**3*(4*w - 1)
Solve -g**5/5 + 6*g**4 - 258*g**3/5 + 268*g**2/5 + 3003*g/5 - 3042/5 = 0 for g.
-3, 1, 6, 13
Factor s**4 - 7*s**3 + 12*s**2 + 4*s - 16.
(s - 4)*(s - 2)**2*(s + 1)
Determine p so that -3*p**3 - 114*p**2 - 219*p - 108 = 0.
-36, -1
Find a such that 4*a**2 - 7744*a + 3748096 = 0.
968
Factor 2*q**2/13 + 2*q/13 - 12/13.
2*(q - 2)*(q + 3)/13
Solve -24*m**2 - 643*m + 135 = 0 for m.
-27, 5/24
Factor 5*x**5 - 210*x**4 + 600*x**3 - 590*x**2 + 195*x.
5*x*(x - 39)*(x - 1)**3
Factor 8*k**2/9 - 1508*k/9 - 84.
4*(k - 189)*(2*k + 1)/9
Suppose 5*d**2 - 450*d - 7280 = 0. What is d?
-14, 104
Suppose -3*k**4 + 288*k**3 - 9486*k**2 + 115320*k - 268119 = 0. What is k?
3, 31
Factor -2*r**3/7 + 90*r**2/7.
-2*r**2*(r - 45)/7
Solve -l**2/2 - 4*l - 15/2 = 0 for l.
-5, -3
Let p**5/6 + p**4/6 - p**3 - 7*p**2/3 - 11*p/6 - 1/2 = 0. Calculate p.
-1, 3
Find u such that -3*u**3 - 597*u**2 - 28785*u + 91809 = 0.
-101, 3
Let -4*m**2/3 - 224*m/3 + 464/3 = 0. Calculate m.
-58, 2
Factor 32*a**3 + 130*a**2 + 104*a + 6.
2*(a + 1)*(a + 3)*(16*a + 1)
Let b**2/4 - 127*b = 0. Calculate b.
0, 508
Factor 5*m**3 + 5*m**2 - 10*m.
5*m*(m - 1)*(m + 2)
Factor 5*m**3 + 285*m**2.
5*m**2*(m + 57)
What is p in -2*p**5 - 44*p**4/5 + 54*p**3/5 + 128*p**2/5 + 8*p = 0?
-5, -1, -2/5, 0, 2
Suppose 4*q**4/9 - 16*q**2/3 - 64*q/9 = 0. What is q?
-2, 0, 4
Determine l so that 3*l**4 + 27*l**3 - 186*l**2 + 324*l - 168 = 0.
-14, 1, 2
Factor 2*c**4 + 198*c**3 - 608*c**2 + 408*c.
2*c*(c - 2)*(c - 1)*(c + 102)
Factor 2*w**2/13 + 2430*w/13.
2*w*(w + 1215)/13
Find d such that 3*d**4 + 1839*d**3 + 1833*d**2 - 1839*d - 1836 = 0.
-612, -1, 1
Factor 3*l**2/7 - 29166*l/7 + 70887963/7.
3*(l - 4861)**2/7
Factor -7*h**4/2 + 23*h**3/2 - 10*h**2 + 2*h.
-h*(h - 2)*(h - 1)*(7*h - 2)/2
Suppose 4*g**4 + 68*g**3 + 244*g**2 - 468*g - 648 = 0. Calculate g.
-9, -1, 2
Suppose -4*b**4 - 4*b**3 + 912*b**2 + 2704*b + 1792 = 0. Calculate b.
-14, -2, -1, 16
Factor -3*c**2 - 12*c + 15.
-3*(c - 1)*(c + 5)
Factor 3*h**4 + 804*h**3 + 55452*h**2 + 212256*h + 209088.
3*(h + 2)**2*(h + 132)**2
Factor -5*w**3 + 430*w**2 - 9245*w.
-5*w*(w - 43)**2
Factor -m**3 - 348*m**2 - 1379*m - 1032.
-(m + 1)*(m + 3)*(m + 344)
Suppose 36*i**5 - 255*i**4 + 414*i**3 - 192*i**2 - 18*i + 15 = 0. Calculate i.
-1/4, 1/3, 1, 5
Find g, given that g**5 + 52*g**4 - 276*g**3 + 506*g**2 - 397*g + 114 = 0.
-57, 1, 2
Determine j so that -3*j**3/8 + 27*j**2/8 - 15*j/2 + 9/2 = 0.
1, 2, 6
Find s such that -4*s**2 + 148*s + 840 = 0.
-5, 42
Factor 2*f**2/13 - 94*f/13.
2*f*(f - 47)/13
Determine v so that 14*v**4/11 + 164*v**3/11 + 250*v**2/11 + 100*v/11 = 0.
-10, -1, -5/7, 0
What is a in a**3/7 - 2*a**2 + 40*a/7 = 0?
0, 4, 10
Factor -2*r**4/15 + 8*r**3/15 + 4*r**2/15 - 8*r/5 - 6/5.
-2*(r - 3)**2*(r + 1)**2/15
What is b in -3*b**3 - 171*b**2 - 1068*b - 900 = 0?
-50, 