22*t**2 - 12*t = 0.
-3, -2/5, 0, 2
Factor 8*g**3/9 - 74*g**2/9 + 82*g/9 - 16/9.
2*(g - 8)*(g - 1)*(4*g - 1)/9
What is s in -s**4/2 + 50*s**3 - 1297*s**2 + 2254*s + 7203/2 = 0?
-1, 3, 49
Factor 3*p**3 + 6*p**2 - 69*p - 180.
3*(p - 5)*(p + 3)*(p + 4)
What is d in 2*d**2/3 - 184*d + 12696 = 0?
138
Factor 3*w**3 - 375*w**2 + 11904*w - 11532.
3*(w - 62)**2*(w - 1)
Find d, given that 2*d**4/13 + 2*d**3/13 - 2*d**2/13 - 2*d/13 = 0.
-1, 0, 1
Factor -8*b**4/3 - 19*b**3/3 - 14*b**2/3 - b.
-b*(b + 1)**2*(8*b + 3)/3
Factor -o**3 + o**2 + 24*o + 36.
-(o - 6)*(o + 2)*(o + 3)
Suppose -21*d**5/5 - 1761*d**4 - 1228494*d**3/5 - 11347896*d**2 + 8302560*d + 3292800 = 0. What is d?
-140, -2/7, 1
Find b such that 3*b**3/2 - 429*b**2/2 - 3*b/2 + 429/2 = 0.
-1, 1, 143
Solve 4*t**5 + 12*t**4 - 8*t**3 - 48*t**2 - 32*t = 0.
-2, -1, 0, 2
Factor j**5/6 - j**4/3 + j**3/6.
j**3*(j - 1)**2/6
Determine k, given that 4*k**3 + 16*k**2 - 44*k + 24 = 0.
-6, 1
Factor k**2 - 140*k + 4900.
(k - 70)**2
Find a such that -2*a**4/13 - 14*a**3/13 - 22*a**2/13 - 10*a/13 = 0.
-5, -1, 0
Factor -24*f**2 + 1326*f + 333.
-3*(2*f - 111)*(4*f + 1)
Factor -2*c**3/3 - 976*c**2/3 - 121946*c/3 - 232324.
-2*(c + 6)*(c + 241)**2/3
Let -20*u**4 - 520*u**3 - 2785*u**2 - 2405*u - 570 = 0. What is u?
-19, -6, -1/2
Factor -4*u**4 - 6*u**3 + 15*u**2/4 - u/2.
-u*(u + 2)*(4*u - 1)**2/4
Factor -2*s**4/5 - 12*s**3/5 - 6*s**2/5 + 4*s.
-2*s*(s - 1)*(s + 2)*(s + 5)/5
Solve 162*r**4/7 - 306*r**3/7 - 34*r**2 + 306*r/7 + 76/7 = 0.
-1, -2/9, 1, 19/9
What is v in -3*v**2 - 102*v - 279 = 0?
-31, -3
Suppose 2*d**3/3 - 20*d**2/3 + 56*d/3 - 16 = 0. Calculate d.
2, 6
Factor -o**3/5 + 2*o**2/5 + 3*o.
-o*(o - 5)*(o + 3)/5
Find k, given that -3*k**3 - 33*k**2 + 42*k + 72 = 0.
-12, -1, 2
Solve 4*l**3 - 100*l**2 - 4*l + 100 = 0 for l.
-1, 1, 25
Factor -44*w**3 - 360*w**2 - 64*w.
-4*w*(w + 8)*(11*w + 2)
Determine t so that -50*t**4/11 + 5180*t**3/11 + 1648*t**2 + 6628*t/11 + 642/11 = 0.
-3, -1/5, 107
Factor 5*u**5 + 8210*u**4 + 3370205*u**3.
5*u**3*(u + 821)**2
Solve -16*h**3 - 838*h**2 - 1128*h - 306 = 0 for h.
-51, -1, -3/8
What is s in 3*s**5/4 + 11*s**4/12 - 7*s**3/12 - 11*s**2/12 - s/6 = 0?
-1, -2/9, 0, 1
Solve 72*v**3/5 - 480*v**2 + 4826*v/5 + 290322/5 = 0 for v.
-9, 127/6
Suppose -3*w**2 - 138*w + 141 = 0. Calculate w.
-47, 1
Factor 3*m**5 - 39*m**4 + 123*m**3 - 141*m**2 + 54*m.
3*m*(m - 9)*(m - 2)*(m - 1)**2
Solve -5*v**3 + 405*v**2 + 1685*v + 1275 = 0 for v.
-3, -1, 85
Factor 22*i**3/15 + 94*i**2/5 - 52*i/15.
2*i*(i + 13)*(11*i - 2)/15
Factor -g**3 + 6*g**2 - 9*g + 4.
-(g - 4)*(g - 1)**2
Factor -t**2/2 + 6075*t - 36905625/2.
-(t - 6075)**2/2
Suppose -2*o**4/7 + 612*o**3/7 - 4750*o**2/7 - 5364*o/7 = 0. What is o?
-1, 0, 9, 298
Factor 3*f**4 - 126*f**3 + 1440*f**2 - 2400*f.
3*f*(f - 20)**2*(f - 2)
Factor -12*d**4 + d**3 + 12*d**2 - d.
-d*(d - 1)*(d + 1)*(12*d - 1)
Solve 2*g**5/7 - 2*g**4 - 24*g**3/7 + 200*g**2/7 - 32*g = 0.
-4, 0, 2, 7
Factor -644*k**5 + 1280*k**4 + 16*k**3.
-4*k**3*(k - 2)*(161*k + 2)
Factor -25*r**2 + 15360*r - 6140.
-5*(r - 614)*(5*r - 2)
What is c in -c**2/11 - 17*c/11 - 72/11 = 0?
-9, -8
Factor -6*j**2/11 + 60*j/11.
-6*j*(j - 10)/11
Solve -2*b**4/7 - 4*b**3/7 - 2*b**2/7 = 0 for b.
-1, 0
Determine z so that -z**5 + 3*z**4 + 4*z**3 - 16*z**2 + 16 = 0.
-2, -1, 2
Factor 2*x**3/7 - 4*x**2 - 144*x/7.
2*x*(x - 18)*(x + 4)/7
Find q such that q**5/10 - 41*q**4/10 + 271*q**3/5 - 1271*q**2/5 + 4641*q/10 - 2601/10 = 0.
1, 3, 17
Factor 3*h**4/2 - 9*h**3/2 - 48*h**2 - 90*h - 48.
3*(h - 8)*(h + 1)*(h + 2)**2/2
Suppose -4*r**2 + 200*r - 2484 = 0. What is r?
23, 27
Factor 2*u**2 + 428*u + 22898.
2*(u + 107)**2
Factor -j**3/3 + 5*j**2 - 32*j/3 - 16.
-(j - 12)*(j - 4)*(j + 1)/3
Factor -l**5/7 + 3*l**4/7 - 2*l**3/7 - 2*l**2/7 + 3*l/7 - 1/7.
-(l - 1)**4*(l + 1)/7
Find t such that -t**4/3 + 5*t**3/3 + 14*t**2/3 = 0.
-2, 0, 7
Solve -3*w**5/4 + 51*w**4/4 - 63*w**3/2 = 0.
0, 3, 14
Factor 2*v**5 - 380*v**4 + 18426*v**3 - 35720*v**2 + 17672*v.
2*v*(v - 94)**2*(v - 1)**2
Factor -44*y**2 + 20*y + 24.
-4*(y - 1)*(11*y + 6)
Factor -4*p**3 + 580*p**2 - 552*p - 3456.
-4*(p - 144)*(p - 3)*(p + 2)
Solve -4*p**2 - 512*p - 16384 = 0 for p.
-64
Factor -2*p**2/7 - 396*p/7 - 19602/7.
-2*(p + 99)**2/7
Factor -r**5/5 - 14*r**4/5 - 4*r**3/5 + 106*r**2/5 - 139*r/5 + 52/5.
-(r - 1)**3*(r + 4)*(r + 13)/5
Suppose -3*u**2 + 10494*u - 9177003 = 0. Calculate u.
1749
What is j in j**3/2 + 1294*j**2 - 5179*j/2 + 1295 = 0?
-2590, 1
Find p such that 5*p**5 - 155*p**4 - 345*p**3 + 455*p**2 + 1300*p + 660 = 0.
-2, -1, 2, 33
Factor 2*s**4 - 92*s**3 + 1058*s**2.
2*s**2*(s - 23)**2
Factor 2*m**4/13 - 20*m**3/13 + 34*m**2/13 - 16*m/13.
2*m*(m - 8)*(m - 1)**2/13
Determine o so that -o**4/4 + 6*o**3 - 52*o**2 + 192*o - 256 = 0.
4, 8
Suppose -5*g**5 + 252*g**4 + 420*g**3 - 208*g**2 = 0. Calculate g.
-2, 0, 2/5, 52
Find x such that -5*x**2/3 - 15*x - 70/3 = 0.
-7, -2
Factor -2*h**2 - 2*h.
-2*h*(h + 1)
Find b such that -4*b**5 - 8*b**4 = 0.
-2, 0
Factor 2*j**4 - 18*j**3 + 20*j**2 + 72*j - 112.
2*(j - 7)*(j - 2)**2*(j + 2)
Factor -3*z**3 - 246*z**2.
-3*z**2*(z + 82)
Factor 4*o**4 - 8*o**2 + 4.
4*(o - 1)**2*(o + 1)**2
Factor -5292*b**2 + 1848*b - 484/3.
-4*(63*b - 11)**2/3
Factor 2*i**2 - 14*i - 16.
2*(i - 8)*(i + 1)
Determine s, given that 2*s**5/3 + 12*s**4 - 134*s**3/3 - 56*s**2 = 0.
-21, -1, 0, 4
Factor 3*n**3 + 141*n**2 + 1848*n + 4356.
3*(n + 3)*(n + 22)**2
Let -2*u**4/11 - 918*u**3/11 - 1830*u**2/11 - 914*u/11 = 0. Calculate u.
-457, -1, 0
Let 45*d**4 + 5109*d**3 + 7760*d**2 + 3588*d + 448 = 0. Calculate d.
-112, -2/3, -1/5
Factor 4*v**2 + 384*v + 2492.
4*(v + 7)*(v + 89)
Solve 2*m**2/9 - 26*m/9 + 20/3 = 0.
3, 10
Find v such that 2*v**4/3 - 4*v**3/3 - 2*v**2 = 0.
-1, 0, 3
Suppose 5*r**3 + 5*r**2 - 5*r - 5 = 0. What is r?
-1, 1
What is q in -3*q**3 + 15*q**2 - 6*q - 24 = 0?
-1, 2, 4
Determine g so that g**3 + 736*g**2 + 1469*g + 734 = 0.
-734, -1
Suppose 5*p**5 + 10*p**4 - 465*p**3 + 410*p**2 + 880*p = 0. What is p?
-11, -1, 0, 2, 8
Factor 100*u**3 + 496*u**2 + 380*u - 16.
4*(u + 1)*(u + 4)*(25*u - 1)
Factor 4*t**3 + 434*t**2/3 + 1320*t + 216.
2*(t + 18)**2*(6*t + 1)/3
Solve 2*x**2/3 - 40*x + 832/3 = 0 for x.
8, 52
Find m such that m**4/4 - 43*m**3/4 + 8*m**2 + 103*m + 84 = 0.
-2, -1, 4, 42
Find y, given that 49*y**5 - 882*y**4 - 1915*y**3 - 908*y**2 + 156*y + 80 = 0.
-1, -2/7, 2/7, 20
Suppose -4*b**4/7 - 132*b**3/7 - 120*b**2/7 + 256*b/7 = 0. What is b?
-32, -2, 0, 1
Determine q so that -18*q**5 + 194*q**4 - 118*q**3 - 2178*q**2 - 2240*q - 392 = 0.
-2, -1, -2/9, 7
Let -8575*j**5 + 34545*j**4 - 47810*j**3 + 21200*j**2 + 5760*j - 5120 = 0. Calculate j.
-2/5, 1, 8/7
Suppose -2*a**4/3 + 8*a**3/3 + 2*a**2/3 - 8*a/3 = 0. Calculate a.
-1, 0, 1, 4
Factor 14*k**4/13 - 62*k**3/13 + 24*k**2/13.
2*k**2*(k - 4)*(7*k - 3)/13
Find s such that 4*s**4/3 - 52*s**3 - 164*s**2/3 + 52*s + 160/3 = 0.
-1, 1, 40
Determine h, given that 3*h**5/4 - 3*h**4/4 - 3*h**3/4 + 3*h**2/4 = 0.
-1, 0, 1
Find j, given that 18*j**4 - 94*j**3 + 92*j**2 - 16*j = 0.
0, 2/9, 1, 4
Find u, given that 2*u**3/9 + 256*u**2/9 = 0.
-128, 0
Suppose k**4/6 - 10*k**3/3 + 8*k**2 + 96*k = 0. What is k?
-4, 0, 12
Determine p so that -p**3/5 - 68*p**2/5 - 217*p + 490 = 0.
-35, 2
Suppose 8*k**3/3 - 18*k**2 + 31*k/3 + 10 = 0. What is k?
-1/2, 5/4, 6
Suppose -5*h**4 - 1770*h**3 - 3485*h**2 + 12300*h - 7040 = 0. Calculate h.
-352, -4, 1
Let 2*v**2/9 - 16*v/9 - 2 = 0. Calculate v.
-1, 9
Factor t**3/3 + 169*t**2 + 28561*t + 4826809/3.
(t + 169)**3/3
Determine p, given that -17*p**2/5 - 101*p/5 + 6/5 = 0.
-6, 1/17
Factor 4*z**2 + 32040*z + 64160100.
4*(z + 4005)**2
Factor l**4/9 + 128*l**3/9 + 4816*l**2/9 + 6272*l.
l*(l + 28)**2*(l + 72)/9
Factor 5*g**5 + 60*g**4 - 75*g**3 - 1390*g**2 + 4140*g - 3240.
5*(g - 2)**3*(g + 9)**2
Factor -g**2 - 7*g - 6.
-(g + 1)*(g + 6)
Find x, given that 2*x**5 + 10*x**4 - 12*x**3 = 0.
-6, 0, 1
Factor -q**4 + 31*q**3 - 111*q**2 + 81*q.
-q*(q - 27)*(q - 3)*(q - 1)
What is k in -4*k**4 + 92*k**3 - 316*k**2 + 228*k = 0?
0, 1, 3, 19
Let -2*k**2/13 - 580*k/13 - 42050/13 = 0. What is k?
-145
Factor -t**2/5 - 3576*t/5 - 3196944/5.
-(t + 1788)**2/5
Suppose 4*b**2 + 4*b = 0. Calculate b.
-1, 0
Determine g so that -g**5/4 + 3*g**4/4 + 3*g**3/2 - 5*g**2/2 - 21*g/4 - 9/4 = 0.
-1, 3
Solve 6*s**5/7 + 2