**3 + 4*j.
-4*j*(j - 1)*(j + 1)
Find r, given that -2*r**4 + 2*r**3 + 4*r**2 = 0.
-1, 0, 2
Determine y, given that -3*y**2/2 - 1083*y + 4356 = 0.
-726, 4
Factor -2*q**2 - 6*q - 4.
-2*(q + 1)*(q + 2)
What is h in 3*h**5/2 + 35*h**4 - 75*h**3/2 - 315*h**2 + 216*h = 0?
-24, -3, 0, 2/3, 3
Factor -9800*j**3 - 9520*j**2 + 278*j - 2.
-2*(j + 1)*(70*j - 1)**2
Let 27*r**2 + 165*r/2 + 9/2 = 0. What is r?
-3, -1/18
Solve -2*m**3/7 + 2938*m**2/7 - 1080448*m/7 + 1077512/7 = 0.
1, 734
Find n such that 10*n**3/7 - 216*n**2/7 - 88*n/7 = 0.
-2/5, 0, 22
What is v in -2*v**5/19 + 150*v**4/19 - 2580*v**3/19 - 8660*v**2/19 - 8970*v/19 - 3042/19 = 0?
-1, 39
Let 28*p**2 + 7008*p + 2000 = 0. Calculate p.
-250, -2/7
Suppose 2*j**5 + 6*j**4 - 2*j**3 - 22*j**2 - 24*j - 8 = 0. What is j?
-2, -1, 2
Factor -18*i**4/7 - 75*i**3/7 - 96*i**2/7 - 39*i/7.
-3*i*(i + 1)**2*(6*i + 13)/7
Factor -5*p**4 - 5*p**3 + 15*p**2 + 25*p + 10.
-5*(p - 2)*(p + 1)**3
Factor -4*a**5 + 16*a**4 + 12*a**3 - 136*a**2 + 208*a - 96.
-4*(a - 2)**3*(a - 1)*(a + 3)
Factor -4*a**5/5 - 16*a**4/5 - 16*a**3/5.
-4*a**3*(a + 2)**2/5
Determine a so that -a**2 + 126*a - 720 = 0.
6, 120
Find f, given that -10*f**5 + 614*f**4 - 12364*f**3 + 85488*f**2 - 101376*f + 27648 = 0.
2/5, 1, 12, 24
Factor -2*i**2/5 + 16*i/5 + 256/5.
-2*(i - 16)*(i + 8)/5
Solve 5*w**4/6 + 8*w**3/3 + 13*w**2/6 + w/3 = 0 for w.
-2, -1, -1/5, 0
Determine p, given that -2*p**4/3 - 8*p**3/3 + 8*p**2/3 + 32*p/3 = 0.
-4, -2, 0, 2
Let -3*x**2 + 45*x - 78 = 0. What is x?
2, 13
Find f, given that f**4 - 63*f**3 + 843*f**2 - 1501*f + 720 = 0.
1, 16, 45
Factor q**4/7 - 9*q**3/7 - 173*q**2/7 - 45*q - 152/7.
(q - 19)*(q + 1)**2*(q + 8)/7
Let 3*c**2/7 + 195*c/7 - 402/7 = 0. Calculate c.
-67, 2
Find v such that 3*v**3 + 162*v**2 + 447*v - 612 = 0.
-51, -4, 1
Factor r**2 - 24*r + 144.
(r - 12)**2
Let 2*k**4/11 + 40*k**3 - 5472*k**2/11 + 22144*k/11 - 29696/11 = 0. What is k?
-232, 4
Factor x**4 + 10*x**3 - 51*x**2 + 68*x - 28.
(x - 2)*(x - 1)**2*(x + 14)
Factor 4*o**4 - 2728*o**3 + 475908*o**2 - 3677344*o + 7268416.
4*(o - 337)**2*(o - 4)**2
Factor -2*j**2 + 7004*j - 6132002.
-2*(j - 1751)**2
Factor a**4/5 - 259*a**3/5 + 16897*a**2/5 - 3225*a - 33282/5.
(a - 129)**2*(a - 2)*(a + 1)/5
Factor 10*x**3/3 + 16352*x**2/3 - 65432*x/15 + 13088/15.
2*(x + 1636)*(5*x - 2)**2/15
Factor -x**3 + 1836*x**2 - 840885*x - 1689122.
-(x - 919)**2*(x + 2)
Find p, given that p**2 + 98*p + 1032 = 0.
-86, -12
Suppose -3*y**3 - 84*y**2 + 372*y - 384 = 0. What is y?
-32, 2
Find p such that 220*p**5 - 915*p**4 + 1235*p**3 - 595*p**2 + 45*p + 10 = 0.
-1/11, 1/4, 1, 2
Suppose -5*b**3 + 105*b**2 - 735*b + 1715 = 0. Calculate b.
7
What is z in 3*z**5 - 39*z**4 + 90*z**3 = 0?
0, 3, 10
Factor 5*s**4 + 215*s**3 - 20*s**2 - 860*s.
5*s*(s - 2)*(s + 2)*(s + 43)
What is j in -2*j**3/11 + 4*j**2 - 38*j/11 - 84/11 = 0?
-1, 2, 21
Factor -6*m**3 + 39*m**2 - 15*m - 18.
-3*(m - 6)*(m - 1)*(2*m + 1)
Determine h, given that 2*h**2 + 212*h + 5618 = 0.
-53
Factor k**3/7 - 4*k**2/7 - 3*k.
k*(k - 7)*(k + 3)/7
Factor 4*o**4 - 728*o**3 + 32388*o**2 + 66976*o + 33856.
4*(o - 92)**2*(o + 1)**2
Factor -2*u**3/9 - 2*u**2 + 2*u + 18.
-2*(u - 3)*(u + 3)*(u + 9)/9
Find l such that 5*l**5/3 - 40*l**4/3 + 20*l**3/3 + 110*l**2/3 - 25*l/3 - 70/3 = 0.
-1, 1, 2, 7
Factor -4*w**5/5 - 12*w**4/5 - 8*w**3/5.
-4*w**3*(w + 1)*(w + 2)/5
Factor 5*d**3/2 + 15*d**2/2 - 125*d/2 + 105/2.
5*(d - 3)*(d - 1)*(d + 7)/2
Factor 5*i**4 + 30*i**3 + 15*i**2 - 50*i.
5*i*(i - 1)*(i + 2)*(i + 5)
Factor 7*h**3/3 - 16*h**2/3 - 17*h/3 + 2.
(h - 3)*(h + 1)*(7*h - 2)/3
Solve -15*o**4/4 - 207*o**3/2 - 252*o**2 - 417*o/2 - 225/4 = 0.
-25, -1, -3/5
Factor -4*k**3 - 116*k**2 - 424*k + 1344.
-4*(k - 2)*(k + 7)*(k + 24)
Factor -2*z**3 - 112*z**2 - 616*z - 800.
-2*(z + 2)*(z + 4)*(z + 50)
What is z in -2*z**3/7 - 8*z**2 + 118*z/7 - 60/7 = 0?
-30, 1
Solve 2*y**2/3 - 10*y/3 - 28/3 = 0 for y.
-2, 7
Suppose -c**4/4 - 13*c**3/4 + 45*c**2/4 - 47*c/4 + 4 = 0. What is c?
-16, 1
Factor -2*f**3/5 - 52*f**2/5 - 184*f/5 - 176/5.
-2*(f + 2)**2*(f + 22)/5
Factor 2*j**4/5 + 24*j**3/5 + 34*j**2/5 - 12*j.
2*j*(j - 1)*(j + 3)*(j + 10)/5
Find p, given that 2*p**4/13 - 12*p**3/13 - 142*p**2/13 + 480*p/13 + 3200/13 = 0.
-5, 8
Factor -5*v**2 + 15*v - 10.
-5*(v - 2)*(v - 1)
Find q, given that -2*q**2 - 105*q - 52 = 0.
-52, -1/2
Factor -2*b**2/7 + 16*b/7 - 30/7.
-2*(b - 5)*(b - 3)/7
Factor u**3/5 - 23*u**2/5 - 84*u.
u*(u - 35)*(u + 12)/5
Determine f, given that 5*f**4 + 580*f**3 + 25230*f**2 + 487780*f + 3536405 = 0.
-29
Let -3*h**5 - 54*h**4 - 96*h**3 = 0. Calculate h.
-16, -2, 0
Factor s**2 - 4*s.
s*(s - 4)
Find i, given that 2*i**3/3 - 394*i**2 + 786*i - 1178/3 = 0.
1, 589
Suppose -2*g**3/7 + 30*g**2/7 - 72*g/7 = 0. Calculate g.
0, 3, 12
Factor n**2 - 2*n - 8.
(n - 4)*(n + 2)
Let 2*l**2/21 - 5788*l/21 + 4187618/21 = 0. Calculate l.
1447
Let -20*x**2 + 212*x - 120 = 0. Calculate x.
3/5, 10
Find a such that 4*a**2/5 - 1144*a + 408980 = 0.
715
Solve -v**4/5 - 17*v**3 + 87*v**2/5 + 17*v - 86/5 = 0 for v.
-86, -1, 1
Determine c, given that -c**4/7 + 26*c**3/7 - 204*c**2/7 + 72*c = 0.
0, 6, 14
Find p, given that p**3/9 - p**2/3 - 10*p/9 = 0.
-2, 0, 5
Factor 5*i**2 + 400*i + 395.
5*(i + 1)*(i + 79)
Let -2*w**4/7 + 156*w**3/7 - 4320*w**2/7 + 6912*w - 165888/7 = 0. Calculate w.
6, 24
Find h such that -2*h**2/3 + 78*h + 236/3 = 0.
-1, 118
Solve s**4/4 - 7*s**3/4 - 3*s**2/4 + 55*s/4 + 25/2 = 0.
-2, -1, 5
Factor -4*s**2 - 8*s - 4.
-4*(s + 1)**2
Find p, given that -p**5/2 - 23*p**4/2 - 69*p**3 - 7*p**2 + 539*p/2 - 363/2 = 0.
-11, -3, 1
Factor 4*h**2 + 600*h + 596.
4*(h + 1)*(h + 149)
Determine i so that -175*i**4 + 435*i**3 + 67*i**2 - 399*i + 144 = 0.
-1, 3/5, 16/7
Find m such that m**2 + 11158*m + 31125241 = 0.
-5579
What is p in -3*p**4 + 822*p**3 = 0?
0, 274
Suppose 3*q**3/4 - 39*q**2/4 - 327*q/4 - 285/4 = 0. What is q?
-5, -1, 19
Factor o**2/2 - 9*o - 20.
(o - 20)*(o + 2)/2
Factor 3*h**2/5 - 657*h/5 - 132.
3*(h - 220)*(h + 1)/5
Factor 122*q**3 - 1216*q**2 - 1382*q - 44.
2*(q - 11)*(q + 1)*(61*q + 2)
Factor -m**2 - 674*m.
-m*(m + 674)
Suppose -4*m**4 + 36*m**2 = 0. Calculate m.
-3, 0, 3
Determine o, given that 2*o**3/3 + 4*o**2 + 22*o/3 + 4 = 0.
-3, -2, -1
Let -20*y**3 - 36636*y**2 - 146496*y/5 - 29296/5 = 0. Calculate y.
-1831, -2/5
Factor 5*k**2 - 820*k - 3360.
5*(k - 168)*(k + 4)
Factor 15*y**3 - 3530*y**2 - 2360*y.
5*y*(y - 236)*(3*y + 2)
Factor 3*f**4 + 2274*f**3 + 433191*f**2 + 859572*f + 428652.
3*(f + 1)**2*(f + 378)**2
Solve s**5/5 + 24*s**4/5 + 13*s**3 + 42*s**2/5 = 0 for s.
-21, -2, -1, 0
Factor 3*b**5/7 + 72*b**4/7 + 432*b**3/7.
3*b**3*(b + 12)**2/7
Suppose 2*i**4/7 + 4*i**3/7 - 2*i**2/7 - 4*i/7 = 0. What is i?
-2, -1, 0, 1
Suppose o**2/8 + 25*o/4 = 0. Calculate o.
-50, 0
Suppose 4*o**3 + 32*o**2 - 76*o + 40 = 0. What is o?
-10, 1
Let -2*d**2 - 480*d - 952 = 0. What is d?
-238, -2
Let -6*m**2/5 + 423*m/5 - 42 = 0. Calculate m.
1/2, 70
Factor 2*i**3/5 + 46*i**2/5 + 188*i/5 - 576/5.
2*(i - 2)*(i + 9)*(i + 16)/5
Solve -8*t**3 + 6108*t**2 + 3056*t = 0.
-1/2, 0, 764
Factor -b**3/5 - 6*b**2/5 - 8*b/5.
-b*(b + 2)*(b + 4)/5
Factor -2*z**3/17 + 24*z**2/17 - 88*z/17 + 96/17.
-2*(z - 6)*(z - 4)*(z - 2)/17
Factor -g**2 + 23*g.
-g*(g - 23)
Factor -s**5/3 - 3*s**4 + 10*s**3/3.
-s**3*(s - 1)*(s + 10)/3
Factor -o**4/2 + 17*o**3/6 - 3*o**2/2 - 5*o/6.
-o*(o - 5)*(o - 1)*(3*o + 1)/6
Factor -9*j**2/5 - 2229*j/5 - 1482/5.
-3*(j + 247)*(3*j + 2)/5
What is a in 2*a**4 + 14*a**3 + 24*a**2 - 8*a - 32 = 0?
-4, -2, 1
Solve -4*o**5/5 + 8*o**4/5 + 12*o**3/5 = 0.
-1, 0, 3
Solve -2*g**5 + 20*g**4 + 54*g**3 - 56*g**2 - 184*g - 96 = 0.
-2, -1, 2, 12
Determine h so that h**2/2 - 91*h + 528 = 0.
6, 176
Determine h, given that 2*h**4 - 6*h**3 - 20*h**2 = 0.
-2, 0, 5
Factor -a**4 + a**3 + 2*a**2.
-a**2*(a - 2)*(a + 1)
Factor -d**5/8 - 3*d**4/2 - d**3 + 19*d**2/4 + 57*d/8 + 11/4.
-(d - 2)*(d + 1)**3*(d + 11)/8
What is g in 2*g**4 + 14*g**3 + 30*g**2 + 26*g + 8 = 0?
-4, -1
Find w such that -27*w**2/5 + 60*w - 33/5 = 0.
1/9, 11
Find u such that u**2/2 - 24*u + 288 = 0.
24
Factor 3*k**4/4 - 3*k**3/4 - 3*k**2 + 3*k.
3*k*(k - 2)*(k - 1)*(k + 2)/4
Factor -c**5/11 - c**4/11 + 5*c**3/11 + c**2/11 - 8*c/11 + 4/11.
-(c - 1)**3*(c + 2)**2/11
Solve -2*v**3/3 + 952*v**2 - 453152*v + 215700352/3 = 0.
476
Factor y**4 - 