*2
Let 3*b**5/7 + 6*b**4 - 99*b**3/7 - 6*b**2 + 96*b/7 = 0. What is b?
-16, -1, 0, 1, 2
Factor c**4/3 + 563*c**3/3 + 26877*c**2 + 129735*c.
c*(c + 5)*(c + 279)**2/3
Factor 2*i**2/9 - 180*i + 36450.
2*(i - 405)**2/9
Solve -5*m**2 - 330*m + 335 = 0 for m.
-67, 1
Find h such that 37538*h**3/7 - 376476*h**2/7 + 10968*h/7 - 80/7 = 0.
2/137, 10
Factor 3*a**2 - 390*a + 12675.
3*(a - 65)**2
Suppose -4*p**2/5 - 372*p/5 - 544 = 0. What is p?
-85, -8
Find c, given that -8*c**2 + 2348*c - 3504 = 0.
3/2, 292
Suppose -2*p**2/7 - 4372*p/7 - 4370/7 = 0. What is p?
-2185, -1
Solve p**4/6 + p**3 + 3*p**2/2 + 2*p/3 = 0 for p.
-4, -1, 0
Determine j so that 4*j**3 - 888*j**2 + 50160*j - 96800 = 0.
2, 110
Determine z so that z**3/3 - 2*z**2 + 5*z/3 = 0.
0, 1, 5
Solve -f**3/5 - 47*f**2/5 + 40*f - 204/5 = 0.
-51, 2
Suppose 686*g**4/19 + 11858*g**3/19 + 14490*g**2/19 + 6102*g/19 + 864/19 = 0. What is g?
-16, -3/7
Factor 3*i**4/5 + 3573*i**3/5 + 714*i**2.
3*i**2*(i + 1)*(i + 1190)/5
Factor -2*h**2 - 152*h - 2888.
-2*(h + 38)**2
Factor -x**5 - x**4 + 7*x**3 + 13*x**2 + 6*x.
-x*(x - 3)*(x + 1)**2*(x + 2)
Factor -4*f**2/3 + 1520*f/3 - 144400/3.
-4*(f - 190)**2/3
Factor -5*f**2/3 + 515*f/3 + 350.
-5*(f - 105)*(f + 2)/3
Let -7*a**4/3 - 58*a**3/3 - 107*a**2/3 - 68*a/3 - 4 = 0. What is a?
-6, -1, -2/7
Factor 4*h**3/5 - 336*h**2 + 3348*h/5 - 1672/5.
4*(h - 418)*(h - 1)**2/5
Let 6*g**3/7 - 2414*g**2/7 + 800*g/7 + 1608/7 = 0. What is g?
-2/3, 1, 402
Find m, given that -3*m**3 + 159*m**2 - 456*m + 300 = 0.
1, 2, 50
Find d such that -d**3 - d**2 = 0.
-1, 0
What is b in 3*b**3/4 - 6*b**2 + 63*b/4 - 27/2 = 0?
2, 3
Factor -s**2 - 337*s - 1332.
-(s + 4)*(s + 333)
Factor -4*l**3 + 96*l**2 - 176*l.
-4*l*(l - 22)*(l - 2)
Factor w**2 + 85*w.
w*(w + 85)
Factor -4*o**3/7 - 80*o**2/7 - 428*o/7 - 352/7.
-4*(o + 1)*(o + 8)*(o + 11)/7
What is x in 3*x**2/5 + 204*x/5 + 3468/5 = 0?
-34
Factor l**2 - 11532*l + 33246756.
(l - 5766)**2
Factor -15*v**3 - 100*v**2 + 345*v + 270.
-5*(v - 3)*(v + 9)*(3*v + 2)
Solve -36*y**5 + 183*y**4 - 132*y**3 - 261*y**2 - 54*y = 0.
-2/3, -1/4, 0, 3
Let -3*s**5 - 9*s**4 + 12*s**3 = 0. What is s?
-4, 0, 1
Factor 7*h**4 - 93*h**3 + 271*h**2 + 273*h - 98.
(h - 7)**2*(h + 1)*(7*h - 2)
Factor 26*i**4/15 - 64*i**3/15 + 8*i**2/5.
2*i**2*(i - 2)*(13*i - 6)/15
Factor -3*t**3/4 + 9*t**2/2 + 3*t - 18.
-3*(t - 6)*(t - 2)*(t + 2)/4
Determine i, given that -3*i**3 + 165*i**2 - 321*i + 159 = 0.
1, 53
Factor 2*c**4/5 - 22*c**3/5 - 24*c**2/5.
2*c**2*(c - 12)*(c + 1)/5
Factor -27*m**3 + 3531*m**2 - 2724*m - 780.
-3*(m - 130)*(m - 1)*(9*m + 2)
Factor -q**3 + 19*q**2 - 18*q.
-q*(q - 18)*(q - 1)
Factor j**3 - 21*j**2 + 144*j - 320.
(j - 8)**2*(j - 5)
Factor -2*n**5/7 - 50*n**4/7 + 106*n**3/7 - 54*n**2/7.
-2*n**2*(n - 1)**2*(n + 27)/7
Factor 5*x**2 + 6050*x + 12080.
5*(x + 2)*(x + 1208)
Let 4*v**2/3 + 428*v/3 + 424/3 = 0. Calculate v.
-106, -1
Determine s so that 3*s**2/2 - 3/2 = 0.
-1, 1
Determine g so that -2*g**3/11 - 6*g**2 + 8*g/11 + 24 = 0.
-33, -2, 2
Factor -3*x**3 - 627*x**2 - 1245*x - 621.
-3*(x + 1)**2*(x + 207)
Factor -4*v**3 + 4*v**2.
-4*v**2*(v - 1)
Determine w, given that -5*w**5 - 35*w**4 + 515*w**3 + 1715*w**2 + 1170*w = 0.
-13, -2, -1, 0, 9
Suppose 10*c**3/21 + 32*c**2/21 + 26*c/21 + 4/21 = 0. What is c?
-2, -1, -1/5
Factor -5*z**4 - 15*z**3 + 30*z**2 + 140*z + 120.
-5*(z - 3)*(z + 2)**3
Factor 3*n**2 + 7290*n + 4428675.
3*(n + 1215)**2
Determine s, given that 2*s**3/17 - 258*s**2/17 - 264*s/17 + 520/17 = 0.
-2, 1, 130
Let -2*u**3/15 + 8*u**2/15 + 2*u/15 - 8/15 = 0. What is u?
-1, 1, 4
What is v in 2*v**4 + 14*v**3 + 28*v**2 + 16*v = 0?
-4, -2, -1, 0
Factor 25*g**4 + 10565*g**3 + 1486845*g**2 + 69484095*g - 28032210.
5*(g + 141)**3*(5*g - 2)
Let -2*p**2 + 168*p - 936 = 0. Calculate p.
6, 78
Factor u**4 + 4*u**3 - u**2 - 4*u.
u*(u - 1)*(u + 1)*(u + 4)
Determine m, given that -3*m**4 - 454*m**3 + 304*m**2 = 0.
-152, 0, 2/3
Suppose -a**4/3 + 5*a**3/3 + 23*a**2/3 - 15*a - 42 = 0. What is a?
-3, -2, 3, 7
Factor 2*d**4/3 + 8*d**3 + 70*d**2/3 + 16*d.
2*d*(d + 1)*(d + 3)*(d + 8)/3
Factor -2*m**2/15 + 3688*m/5 - 5100504/5.
-2*(m - 2766)**2/15
Find r such that -2*r**5 - 26*r**4 - 128*r**3 - 296*r**2 - 320*r - 128 = 0.
-4, -2, -1
Suppose a**2/2 - 338*a + 57122 = 0. Calculate a.
338
Solve 2*n**2/13 - 120*n/13 + 1800/13 = 0.
30
Factor -2*h**5 + 82*h**4 + 636*h**3 + 1688*h**2 + 1904*h + 768.
-2*(h - 48)*(h + 1)*(h + 2)**3
Factor -a**3 + 41*a**2 - 78*a.
-a*(a - 39)*(a - 2)
Determine o so that 3*o**5/8 - 15*o**4/4 + 63*o**3/8 + 24*o**2 - 201*o/2 + 90 = 0.
-3, 2, 4, 5
Factor 2*k**3 - 66*k**2 + 510*k - 1150.
2*(k - 23)*(k - 5)**2
Factor -5*r**3 - 925*r**2 + 1910*r + 7480.
-5*(r - 4)*(r + 2)*(r + 187)
Factor 2*j**2/5 + 10*j.
2*j*(j + 25)/5
Find k such that k**2 + 21*k - 46 = 0.
-23, 2
Determine x so that 4*x**4/9 + 160*x**3/9 + 148*x**2/3 - 16*x/9 - 592/9 = 0.
-37, -2, 1
Factor -4*i**3/7 - 30*i**2/7 + 52*i/7 - 18/7.
-2*(i - 1)*(i + 9)*(2*i - 1)/7
Factor 81*p**3 - 846*p**2 + 364*p - 40.
(p - 10)*(9*p - 2)**2
Suppose 28*o**4 + 60*o**3 + 36*o**2 + 4*o = 0. Calculate o.
-1, -1/7, 0
Suppose s**2/5 + 4*s/5 = 0. What is s?
-4, 0
Factor -5*q**3 + 5*q**2 + 80*q - 80.
-5*(q - 4)*(q - 1)*(q + 4)
Factor 3*r**2/2 - 309*r + 31827/2.
3*(r - 103)**2/2
Factor 2*b**2/3 - 28*b/3 + 16.
2*(b - 12)*(b - 2)/3
Factor 2*y**3/17 + 4188*y**2/17 + 984*y + 16720/17.
2*(y + 2)**2*(y + 2090)/17
Factor 2*q**4 + 6*q**3 - 2*q**2 - 6*q.
2*q*(q - 1)*(q + 1)*(q + 3)
Factor u**2 + 12*u + 35.
(u + 5)*(u + 7)
Find s, given that 5*s**2 + 2115*s - 12870 = 0.
-429, 6
Solve 2*p**4 + 276*p**3 + 9522*p**2 = 0 for p.
-69, 0
Factor -102*v**2 + 15*v.
-3*v*(34*v - 5)
Factor -2*l**2/5 - 1428*l/5 - 254898/5.
-2*(l + 357)**2/5
Solve s**2/2 + 7*s/2 + 3 = 0 for s.
-6, -1
Factor h**2/3 + 481*h/3.
h*(h + 481)/3
What is u in -2*u**4/9 + 2*u**3/3 + 2*u**2/9 - 2*u/3 = 0?
-1, 0, 1, 3
Determine c so that 2*c**5/3 - 68*c**4 + 596*c**3/3 - 64*c**2 - 598*c/3 + 132 = 0.
-1, 1, 2, 99
Factor -7*p**2 - 44*p - 12.
-(p + 6)*(7*p + 2)
What is l in 4*l**3 - 8*l**2 = 0?
0, 2
Let -2*o**3/3 - 26*o**2/9 + 406*o/9 - 374/9 = 0. What is o?
-11, 1, 17/3
What is w in -3*w**3 - 24*w**2 - 45*w = 0?
-5, -3, 0
Factor c**3/4 + 65*c**2/2 + 1023*c - 2178.
(c - 2)*(c + 66)**2/4
Determine x, given that 4*x**2 - 128*x + 240 = 0.
2, 30
Determine d, given that -25*d**4 - 1090*d**3 - 15160*d**2 - 65760*d + 28800 = 0.
-20, -12, 2/5
Let -2*w**2/5 - 304*w/5 = 0. What is w?
-152, 0
Let -4*i**2/7 + 52*i/7 + 792/7 = 0. What is i?
-9, 22
What is s in -3*s**4/5 + 3*s**3/5 + 36*s**2/5 = 0?
-3, 0, 4
Suppose -n**2 + 77*n/2 + 81 = 0. What is n?
-2, 81/2
Factor 4*v**2 + 7900*v + 15784.
4*(v + 2)*(v + 1973)
Solve -2*q**4/3 - 10*q**3/3 - 14*q**2/3 - 2*q = 0.
-3, -1, 0
Factor -15*g**5 - 280*g**4 - 640*g**3.
-5*g**3*(g + 16)*(3*g + 8)
Factor u**5/5 - 47*u**4/5 + 528*u**3/5 + 576*u**2/5.
u**2*(u - 24)**2*(u + 1)/5
Determine p so that 2*p**3 + 100*p**2 + 850*p + 2000 = 0.
-40, -5
Solve 4*j**5 - 16*j**4 - 68*j**3 + 256*j**2 - 16*j - 320 = 0.
-4, -1, 2, 5
Factor -2*l**3 - 48*l**2 + 54*l + 100.
-2*(l - 2)*(l + 1)*(l + 25)
Determine n so that -4*n**3 + 132*n**2 + 2436*n + 9212 = 0.
-7, 47
Factor j**4/10 + 247*j**3/10 + 3075*j**2/2 + 15129*j/10.
j*(j + 1)*(j + 123)**2/10
Factor -5*g**2 - 115*g - 450.
-5*(g + 5)*(g + 18)
Solve 2*c**3 + 92*c**2 - 94*c = 0.
-47, 0, 1
Suppose 48*u**4 + 80*u**3 - 68*u**2 - 96*u + 36 = 0. What is u?
-3/2, 1/3, 1
Factor 4*f**4 - 59*f**3 - 15*f**2.
f**2*(f - 15)*(4*f + 1)
Factor -i**3 - 23*i**2 - 42*i.
-i*(i + 2)*(i + 21)
Solve 25*h**3/6 + 65*h**2 + 520*h/3 - 80 = 0 for h.
-12, -4, 2/5
Find z such that z**5/2 - 11*z**4/2 + 3*z**3 + 22*z**2 - 20*z = 0.
-2, 0, 1, 2, 10
Factor 2*j**3 - 344*j**2 + 15456*j - 56448.
2*(j - 84)**2*(j - 4)
Find d such that 5*d**4 - 330*d**3 + 7560*d**2 - 66150*d + 138915 = 0.
3, 21
Factor -3*j**2/2 - 405*j/2 - 201.
-3*(j + 1)*(j + 134)/2
Suppose 8*t**4 - 20*t**3 - 380*t**2 + 200*t + 192 = 0. What is t?
-6, -1/2, 1, 8
Factor -c**4 - 13*c**3 - 46*c**2 - 12*c + 72.
-(c - 1)*(c + 2)*(c + 6)**2
Factor o**3 - 6*o**2 - 19*o + 24.
(o - 8)*(o - 1)*(o + 3)
Find y such that -2*y**3/5 + 282*y**2/5 + 284*y/5 = 0.
-1, 0, 142
Find g such that g**4/5 - 22*g**3/5 - 52*g**2/5 + 88*g/5 + 192/5 = 0.
-2, 2, 24
Factor 15*v**3 - 33*v**2 - 114*v + 24.
3*(v - 4)*(v + 2)*(5*v -