 - 35*w = 0 for w.
-7, 0
Factor -o**4 - 2*o**3 + 3*o**2 + 8*o + 4.
-(o - 2)*(o + 1)**2*(o + 2)
Factor 4*f**3/5 + 2*f**2/5 - 2*f + 4/5.
2*(f - 1)*(f + 2)*(2*f - 1)/5
Solve -63*v**4/2 + 3*v**3 + 9*v**2/2 = 0 for v.
-1/3, 0, 3/7
Factor 2*g**2 - 236*g + 4224.
2*(g - 96)*(g - 22)
Let -6*k**3/13 - 46*k**2/13 - 80*k/13 + 32/13 = 0. Calculate k.
-4, 1/3
Factor -54*s**4/7 - 1350*s**3/7 + 198*s**2 - 466*s/7 + 52/7.
-2*(s + 26)*(3*s - 1)**3/7
Suppose 5*g**4 - 65*g**3 - 225*g**2 - 235*g - 80 = 0. What is g?
-1, 16
Find d, given that 15*d**5 + 70*d**4 - 5*d**3 - 180*d**2 + 20*d + 80 = 0.
-4, -2, -2/3, 1
Find m, given that 3*m**4 - 45*m**3 - 3*m**2 + 45*m = 0.
-1, 0, 1, 15
What is v in -2*v**2 - 356*v + 358 = 0?
-179, 1
Factor -2*d**4/7 - 396*d**3/7 - 16634*d**2/7 + 41976*d - 157304.
-2*(d - 7)**2*(d + 106)**2/7
Suppose 6*x**5 - 176*x**4/3 + 608*x**3/3 - 276*x**2 + 90*x + 36 = 0. Calculate x.
-2/9, 1, 3
Solve 4*t**3 - 116*t**2 + 720*t - 1008 = 0 for t.
2, 6, 21
Let 10*f**4 - 1744*f**3 + 10776*f**2 - 4032*f = 0. What is f?
0, 2/5, 6, 168
Factor -3*q**3 + 51*q**2 + 111*q + 57.
-3*(q - 19)*(q + 1)**2
Factor -3*i**2/5 - 38*i/5 - 24/5.
-(i + 12)*(3*i + 2)/5
Factor 2*b**3/5 - 126*b**2/5 + 432*b - 1080.
2*(b - 30)**2*(b - 3)/5
Solve -2*h**4/9 + 14*h**3/9 - 10*h**2/9 - 14*h/9 + 4/3 = 0.
-1, 1, 6
Factor 20*o**3 + 2312*o**2 + 3632*o - 1824.
4*(o + 2)*(o + 114)*(5*o - 2)
Suppose -i**5/3 + 5*i**4/3 + 2*i**3/3 - 10*i**2/3 - i/3 + 5/3 = 0. Calculate i.
-1, 1, 5
Factor -5*m**4 + 45*m**3 + 330*m**2 + 280*m.
-5*m*(m - 14)*(m + 1)*(m + 4)
Factor 2*i**2/9 - 16*i/3 + 286/9.
2*(i - 13)*(i - 11)/9
Factor 4*r**2 - 4*r.
4*r*(r - 1)
Suppose -6*f**4 - 29*f**3 + 10*f**2 + 23*f - 10 = 0. What is f?
-5, -1, 1/2, 2/3
Determine o so that -3*o**3/5 - 39*o**2/5 - 96*o/5 - 12 = 0.
-10, -2, -1
Suppose 845*k**2 + 102960*k + 3136320 = 0. What is k?
-792/13
Let 5*q**3 + 255*q**2 + 1450*q - 3960 = 0. Calculate q.
-44, -9, 2
Factor -1083*t**3 - 69084*t**2 + 14580*t - 768.
-3*(t + 64)*(19*t - 2)**2
Factor b**2/3 - 31*b/3 + 56.
(b - 24)*(b - 7)/3
Solve -4*b**2 - 384*b - 9216 = 0.
-48
Factor 2*v**3/13 + 12*v**2/13.
2*v**2*(v + 6)/13
Determine u so that u**2/2 + 3*u + 4 = 0.
-4, -2
Solve 5*u**5 - 5*u**4 - 80*u**3 - 100*u**2 = 0 for u.
-2, 0, 5
Factor r**4 + r**3 - 45*r**2 + 83*r - 40.
(r - 5)*(r - 1)**2*(r + 8)
What is p in 5*p**3 - 150*p**2 + 985*p + 1140 = 0?
-1, 12, 19
Solve -k**5 + 5*k**4 - 3*k**3 - 5*k**2 + 4*k = 0 for k.
-1, 0, 1, 4
Let 521*n**2 - 523*n + 2 = 0. What is n?
2/521, 1
Let 605*v**3 + 4180*v**2 - 5100*v + 1440 = 0. Calculate v.
-8, 6/11
Let -3*t**3 + 9*t - 6 = 0. Calculate t.
-2, 1
Find c, given that c**4/2 + 5*c**3/2 + c**2 - 10*c - 12 = 0.
-3, -2, 2
Find u, given that -5*u**5/4 - 11*u**4/2 - 23*u**3/4 - 3*u**2/2 = 0.
-3, -1, -2/5, 0
Factor -3*i**3/4 + 24*i**2 - 345*i/4 + 63.
-3*(i - 28)*(i - 3)*(i - 1)/4
Let -5*m**5/3 + 55*m**4/3 - 65*m**3 + 75*m**2 = 0. Calculate m.
0, 3, 5
Let -o**2/2 + 795*o/2 + 398 = 0. Calculate o.
-1, 796
Factor x**2/3 + 17*x/3 - 6.
(x - 1)*(x + 18)/3
Factor -20*o**4 + 892*o**3 + 360*o**2.
-4*o**2*(o - 45)*(5*o + 2)
Solve -p**4/5 - 2*p**3/5 = 0 for p.
-2, 0
Factor 2*z**2/11 - 1710*z/11 + 3412/11.
2*(z - 853)*(z - 2)/11
Suppose 4*h**2 - 20*h + 16 = 0. Calculate h.
1, 4
Find h, given that -4*h**2/5 - 2592*h - 2099520 = 0.
-1620
Solve -5*c**5/3 + 28*c**4/3 + 47*c**3/3 + 14*c**2/3 = 0 for c.
-1, -2/5, 0, 7
What is w in -2*w**2/7 + 4*w/7 - 2/7 = 0?
1
Let 2*m**5/7 + 138*m**4/7 + 134*m**3/7 - 138*m**2/7 - 136*m/7 = 0. Calculate m.
-68, -1, 0, 1
Solve -f**4/2 + 6*f**3 + 23*f**2 - 6*f - 45/2 = 0 for f.
-3, -1, 1, 15
Factor -q**3/5 + 228*q**2/5 + 4*q/5 - 912/5.
-(q - 228)*(q - 2)*(q + 2)/5
Find v, given that -3*v**2 - 1086*v + 3285 = 0.
-365, 3
Solve -25*c**3 + 14840*c**2 - 23660*c - 11840 = 0.
-2/5, 2, 592
Find g such that -15*g**5 - 6*g**4 + 75*g**3 + 30*g**2 - 60*g - 24 = 0.
-2, -1, -2/5, 1, 2
Solve -2*x**2/5 - 3016*x/5 - 1137032/5 = 0.
-754
Suppose 2*m**2/11 - 8*m/11 + 6/11 = 0. What is m?
1, 3
Solve -140*n**2 - 552*n + 32 = 0 for n.
-4, 2/35
What is a in -14*a**4/5 + 118*a**3/5 - 274*a**2/5 + 34*a = 0?
0, 1, 17/7, 5
Suppose -3*s**3 - 9*s**2 + 3*s + 9 = 0. What is s?
-3, -1, 1
What is r in 15*r**5 + 785*r**4 - 2225*r**3 - 1345*r**2 + 1650*r = 0?
-55, -1, 0, 2/3, 3
Solve -70*x**3 + 6722*x**2/5 - 272*x - 152/5 = 0 for x.
-2/25, 2/7, 19
Factor 16*o**2/9 + 100*o/9 + 136/9.
4*(o + 2)*(4*o + 17)/9
Factor 3*g**4/7 + 3*g**3/7.
3*g**3*(g + 1)/7
Factor 2*g**2/7 - 8/7.
2*(g - 2)*(g + 2)/7
Factor -2*z**4 - 50*z**3 + 6*z**2 + 154*z + 100.
-2*(z - 2)*(z + 1)**2*(z + 25)
Determine n so that n**2/5 - 22*n + 424/5 = 0.
4, 106
Factor 5*q**2 - 125*q + 120.
5*(q - 24)*(q - 1)
Let a**3 + a**2 = 0. Calculate a.
-1, 0
Factor 5*c**4 - 55*c**3 - 125*c**2 - 65*c.
5*c*(c - 13)*(c + 1)**2
Determine q so that 8*q**3/11 - 30*q**2/11 - 104*q/11 - 24/11 = 0.
-2, -1/4, 6
Factor 5*j**3 + 2235*j**2 + 8875*j + 6645.
5*(j + 1)*(j + 3)*(j + 443)
Solve -3*s**5/8 - 15*s**4/8 + 15*s**3/4 + 15*s**2/2 - 9*s = 0 for s.
-6, -2, 0, 1, 2
Factor -16*g**2/9 + 988*g/9 + 248/9.
-4*(g - 62)*(4*g + 1)/9
Factor -3*x**4/2 + 27*x**3 - 51*x**2/2.
-3*x**2*(x - 17)*(x - 1)/2
Let 51200*x**5/3 + 1191680*x**4/3 - 294752*x**3 + 264204*x**2/5 - 18126*x/5 + 432/5 = 0. Calculate x.
-24, 3/40, 1/2
Find g such that -2*g**4/21 + 52*g**3/21 - 16*g**2 - 52*g/21 + 338/21 = 0.
-1, 1, 13
Factor c**3 - 261*c**2/2 + 385*c/2 + 129.
(c - 129)*(c - 2)*(2*c + 1)/2
Factor -2*h**4/11 - 2*h**3/11.
-2*h**3*(h + 1)/11
Find y such that -2*y**5/7 - 12*y**4/7 - 4*y**3/7 + 40*y**2/7 + 54*y/7 + 20/7 = 0.
-5, -1, 2
What is u in 116*u**3/13 - 54*u**2 + 1080*u/13 - 54/13 = 0?
3/58, 3
Let -5*x**5/4 + 145*x**4/2 + 1215*x**3/4 + 385*x**2 + 155*x = 0. Calculate x.
-2, -1, 0, 62
Factor 3*t**3 + 216*t**2 + 396*t - 1680.
3*(t - 2)*(t + 4)*(t + 70)
Factor -2*j**2/7 + 1460*j/7 - 4362/7.
-2*(j - 727)*(j - 3)/7
Find g such that g**4/4 + 41*g**3/4 - 129*g**2/4 + 131*g/4 - 11 = 0.
-44, 1
Factor 2*j**4/3 + 154*j**3/3 + 3430*j**2/3 + 17150*j/3.
2*j*(j + 7)*(j + 35)**2/3
Solve -f**2/12 - 7*f/6 - 15/4 = 0.
-9, -5
Suppose 35*p**5 + 200*p**4 + 220*p**3 - 80*p**2 = 0. What is p?
-4, -2, 0, 2/7
Determine l, given that -2*l**4/3 - 656*l**3 - 1310*l**2 - 1964*l/3 = 0.
-982, -1, 0
Factor -3*f**3 - 39*f**2 + 99*f + 135.
-3*(f - 3)*(f + 1)*(f + 15)
Solve -14*q**2/9 + 254*q/9 - 4 = 0 for q.
1/7, 18
Let 31*y**5/3 + 839*y**4/3 - 814*y**3/3 - 56*y**2/3 = 0. Calculate y.
-28, -2/31, 0, 1
Factor 2*b**3/13 + 124*b**2 - 2*b/13 - 124.
2*(b - 1)*(b + 1)*(b + 806)/13
Determine y, given that 2*y**4/5 + 238*y**3/5 + 9102*y**2/5 + 97498*y/5 - 551368/5 = 0.
-41, 4
Factor -3*v**3/2 + 7*v**2 + 5*v/2.
-v*(v - 5)*(3*v + 1)/2
Suppose 2*z**3 - 918*z**2 + 105798*z - 104882 = 0. Calculate z.
1, 229
Suppose -4*h**3 - 496*h**2 - 2404*h - 2856 = 0. Calculate h.
-119, -3, -2
Find c, given that 3*c**3/4 - 6*c**2 - 27*c/4 = 0.
-1, 0, 9
Determine p, given that -p**2 + 10*p + 24 = 0.
-2, 12
Factor 2*y**5 + 38*y**4 + 230*y**3 + 482*y**2 + 416*y + 128.
2*(y + 1)**3*(y + 8)**2
Factor -3*p**3 + 6462*p**2/7 - 70884*p - 20328.
-3*(p - 154)**2*(7*p + 2)/7
Determine d, given that -25*d**2 + 1585*d - 630 = 0.
2/5, 63
Let -12*t**5/5 - 93*t**4/5 + 1572*t**3/5 - 291*t**2/5 - 312*t + 384/5 = 0. Calculate t.
-16, -1, 1/4, 1, 8
Solve 4*h**3/15 - 11974*h**2/15 + 2986016*h/5 + 1494006/5 = 0.
-1/2, 1497
What is m in -2*m**5/13 + 30*m**4/13 + 34*m**3/13 - 30*m**2/13 - 32*m/13 = 0?
-1, 0, 1, 16
Factor -3*d**3/10 - 49*d**2/5 + 7*d/2 + 33/5.
-(d - 1)*(d + 33)*(3*d + 2)/10
Factor t**2/10 - 786*t/5.
t*(t - 1572)/10
Determine p, given that 4*p**4 - 80*p**3 + 276*p**2 - 328*p + 128 = 0.
1, 2, 16
Factor -5*i**4 + 20*i**3 - 10*i**2 - 20*i + 15.
-5*(i - 3)*(i - 1)**2*(i + 1)
Let 4*l**4 - 44*l**3 + 168*l**2 - 272*l + 160 = 0. Calculate l.
2, 5
Factor -4*z**3 + 736*z**2 + 740*z.
-4*z*(z - 185)*(z + 1)
Factor 4*m**3/7 - 220*m**2/7 + 3132*m/7 - 2916/7.
4*(m - 27)**2*(m - 1)/7
Find x, given that 2*x**2/3 + 74*x/5 + 44/15 = 0.
-22, -1/5
Let 3*t**2/8 + 39*t/8 - 45/4 = 0. Calculate t.
-15, 2
Factor -5*g**3/4 - 225*g**2/4 - 55*g.
-5*g*(g + 1)*(g + 44)/4
Determine x, given that -x**2/2 - 1412*x - 996872 = 0.
-1412
Determine u so that u**2/6 - 101*u/3 + 320 = 0.
10, 192
Find t, given that -11*t**4/2 + 75*t**3/2 + 513*t**2 + 554*t + 84 = 0.
-6, -