 12)/6
Determine x so that 2*x**2/9 - 9988*x/9 + 12470018/9 = 0.
2497
Factor q**4/8 - 11*q**3/4 - 109*q**2/8 + 65*q/4.
q*(q - 26)*(q - 1)*(q + 5)/8
Determine h, given that -4*h**2/3 - 92*h/3 + 200/3 = 0.
-25, 2
Suppose 3*v**5 - 3*v**4 - 27*v**3 + 15*v**2 + 48*v - 36 = 0. What is v?
-2, 1, 3
Find y such that -2*y**4 - 2308*y**3 - 665858*y**2 = 0.
-577, 0
Let h**2/7 + 163*h/7 - 668/7 = 0. Calculate h.
-167, 4
Suppose -147*a**5/4 - 161*a**4 + 219*a**3/2 - 21*a**2 + 5*a/4 = 0. Calculate a.
-5, 0, 1/7, 1/3
Factor -2*i**4/9 + 2*i**3/9 + 2*i**2/9 - 2*i/9.
-2*i*(i - 1)**2*(i + 1)/9
Factor v**3 - 3*v**2 + 2*v.
v*(v - 2)*(v - 1)
Factor -68*p**2 + 664*p + 160.
-4*(p - 10)*(17*p + 4)
Let l**2/5 - 19*l/5 - 252/5 = 0. Calculate l.
-9, 28
Determine v, given that 25*v**4 - 790*v**3 + 1205*v**2 - 140*v - 300 = 0.
-2/5, 1, 30
Let -4*d**2 - 7072*d - 3125824 = 0. What is d?
-884
Let 4*b**3 - 1200*b**2 + 90000*b = 0. Calculate b.
0, 150
Suppose 15*o**5 + 3695*o**4 + 19410*o**3 + 31410*o**2 + 19295*o + 3615 = 0. What is o?
-241, -3, -1, -1/3
Solve -5*a**4 - 110*a**3 - 80*a**2 + 510*a - 315 = 0 for a.
-21, -3, 1
Factor 3*p**3 + 27*p**2 + 33*p - 63.
3*(p - 1)*(p + 3)*(p + 7)
Let -2*f**2/11 + 5812*f/11 - 4222418/11 = 0. Calculate f.
1453
Determine f, given that 26*f**5 - 48*f**4 - 34*f**3 + 48*f**2 + 8*f = 0.
-1, -2/13, 0, 1, 2
Factor -3*g**5 - 78*g**4 - 75*g**3.
-3*g**3*(g + 1)*(g + 25)
What is w in 4*w**2/3 + 2800*w/3 + 490000/3 = 0?
-350
Factor -3*g**3/5 + 387*g**2/5 + 396*g/5 - 156.
-3*(g - 130)*(g - 1)*(g + 2)/5
Factor d**2 - 3*d - 4.
(d - 4)*(d + 1)
Determine u, given that 5*u**4 + 25*u**3 - 270*u**2 + 620*u - 440 = 0.
-11, 2
Factor 5*o**2 - 16840*o + 16835.
5*(o - 3367)*(o - 1)
Factor 12*a**3/5 + 476*a**2/5 + 1172*a/5 - 444/5.
4*(a + 3)*(a + 37)*(3*a - 1)/5
Determine f, given that -3*f**4 - 129*f**3 - 1704*f**2 - 5940*f + 7776 = 0.
-18, -8, 1
Find l, given that -4*l**4 + 416*l**3/3 - 1948*l**2/3 - 232*l = 0.
-1/3, 0, 6, 29
Factor r**4/4 + 41*r**3/2 + 781*r**2/4 - 9225*r + 50625.
(r - 9)**2*(r + 50)**2/4
Solve 3*d**3/2 + 42*d**2 + 459*d/2 + 189 = 0.
-21, -6, -1
Let -8*l**5 + 110*l**4 - 142*l**3 - 368*l**2 + 696*l - 288 = 0. Calculate l.
-2, 3/4, 1, 2, 12
Suppose -6804*j**4 - 27108*j**3 + 241161*j**2/7 - 3792*j/7 + 15/7 = 0. Calculate j.
-5, 1/126, 1
Factor 4*w**3 - 456*w**2 - 924*w - 464.
4*(w - 116)*(w + 1)**2
Factor r**3 - 12*r**2 - 99*r + 1210.
(r - 11)**2*(r + 10)
Suppose v**4/3 + 39*v**3 + 568*v**2/3 + 300*v + 448/3 = 0. What is v?
-112, -2, -1
Factor 2*w**3/5 + 4222*w**2/5 - 16912*w/5 + 3384.
2*(w - 2)**2*(w + 2115)/5
Determine w so that 2*w**3 - 378*w**2 - 762*w - 382 = 0.
-1, 191
Find v such that -v**2 - 43*v + 44 = 0.
-44, 1
Factor 2*b**5/9 - 200*b**4/9 - 820*b**3/9 - 1240*b**2/9 - 830*b/9 - 208/9.
2*(b - 104)*(b + 1)**4/9
Factor 3*l**2/5 - 1248*l/5 + 129792/5.
3*(l - 208)**2/5
Find d such that -10*d**4/9 + 2*d**3 + 32*d**2/9 - 8*d + 32/9 = 0.
-2, 4/5, 1, 2
What is y in -5*y**2 - 205*y - 200 = 0?
-40, -1
Factor 5*j**2 - 270*j + 3645.
5*(j - 27)**2
Let -h**4/8 - h**3/2 - 3*h**2/8 + h/2 + 1/2 = 0. Calculate h.
-2, -1, 1
Determine b, given that -3*b**3 - 24*b**2 = 0.
-8, 0
Factor 5*b**2 - 964*b - 193.
(b - 193)*(5*b + 1)
Factor 5*y**2 - 60*y + 135.
5*(y - 9)*(y - 3)
Factor 5*p**2 - 90*p - 315.
5*(p - 21)*(p + 3)
Factor -r**2 + 1688*r - 712336.
-(r - 844)**2
Factor -2*y**5/15 + 208*y**4/15 - 6512*y**3/15 + 19136*y**2/5 - 50784*y/5.
-2*y*(y - 46)**2*(y - 6)**2/15
Suppose 36*b**4 + 13200*b**3 + 1201168*b**2 - 1619200*b + 541696 = 0. What is b?
-184, 2/3
Factor -3*r**2 + 12690*r + 12693.
-3*(r - 4231)*(r + 1)
Factor 1156*g**4 - 7208*g**3 + 12052*g**2 - 2544*g + 144.
4*(g - 3)**2*(17*g - 2)**2
Factor -2*b**3 - 32*b**2 - 154*b - 196.
-2*(b + 2)*(b + 7)**2
Factor 2*j**3/15 - 24*j**2/5 - 74*j/15.
2*j*(j - 37)*(j + 1)/15
Factor -5*n**4 - 20*n**3 - 25*n**2 - 10*n.
-5*n*(n + 1)**2*(n + 2)
Factor 68*d**2/5 + 177*d + 13/5.
(d + 13)*(68*d + 1)/5
Factor 45*x**3 + 140*x**2 - 25*x - 120.
5*(x + 1)*(x + 3)*(9*x - 8)
Suppose 2*t**4/19 + 706*t**3/19 + 62652*t**2/19 + 60544*t/19 - 123904/19 = 0. Calculate t.
-176, -2, 1
Suppose j**2/2 + 129*j - 783/2 = 0. Calculate j.
-261, 3
Solve -7*b**2/2 - b/2 + 3 = 0 for b.
-1, 6/7
Let 2*w**3 - 512*w**2 - 514*w = 0. What is w?
-1, 0, 257
Find l, given that -4*l**3/3 + 20*l**2 + 72*l = 0.
-3, 0, 18
Determine q so that 7*q**5/5 + 289*q**4/5 + 2203*q**3/5 - 16621*q**2/5 + 1978*q + 4232/5 = 0.
-23, -2/7, 1, 4
Factor -21*b**2 - 741*b - 210.
-3*(b + 35)*(7*b + 2)
Determine y so that -32*y**4 + 112*y**3 + 526*y**2 - 282*y + 36 = 0.
-3, 1/4, 6
Solve -s**3 + 533*s**2/5 + 754*s/5 + 216/5 = 0.
-1, -2/5, 108
Find m, given that -m**3 - 1296*m**2 = 0.
-1296, 0
Factor 4*a**5 - 20*a**4 + 24*a**3 + 8*a**2 - 28*a + 12.
4*(a - 3)*(a - 1)**3*(a + 1)
Factor v**3 - 2*v**2 + v.
v*(v - 1)**2
Suppose a**4/3 + 19*a**3 - 20*a**2 - 116*a/3 = 0. Calculate a.
-58, -1, 0, 2
Find t, given that 12*t**2 + 44*t - 80 = 0.
-5, 4/3
Determine o so that 100*o**5 - 480*o**4 - 2184*o**3 + 7984*o**2 + 11460*o + 3600 = 0.
-4, -3/5, 5
Find h such that -5*h**2 + 650*h = 0.
0, 130
Determine p so that 4*p**5 + 8*p**4 - 12*p**3 - 16*p**2 + 16*p = 0.
-2, 0, 1
Solve -z**4 - 11*z**3 + 13*z**2 + 11*z - 12 = 0 for z.
-12, -1, 1
What is c in 2*c**2 - 802*c = 0?
0, 401
Factor 2*k**2/5 + 8*k/5 + 6/5.
2*(k + 1)*(k + 3)/5
Let 4*b**3 - 20*b**2 + 8*b + 32 = 0. What is b?
-1, 2, 4
Determine j, given that 3*j**2 + 3324*j + 920748 = 0.
-554
Factor 15*f**2 + 51*f + 36.
3*(f + 1)*(5*f + 12)
What is x in -3*x**4/7 + 66*x**3/7 - 99*x**2/7 - 444*x - 420 = 0?
-5, -1, 14
Suppose z**4/3 + 2*z**3/3 - 19*z**2/3 - 20*z/3 = 0. What is z?
-5, -1, 0, 4
Find d, given that d**2 + 220*d + 12100 = 0.
-110
Determine f, given that 5*f**4 - 175*f**3 - 180*f**2 = 0.
-1, 0, 36
Suppose -2*q**2/3 - 164*q = 0. What is q?
-246, 0
Factor 2*s**2 + 160*s + 3200.
2*(s + 40)**2
Factor 4*o**4/5 + 1444*o**3/5 + 175644*o**2/5 + 7420364*o/5 + 26962544/5.
4*(o + 4)*(o + 119)**3/5
Factor 3*z**5/2 + 1041*z**4/2 + 67599*z**3 + 3882897*z**2 + 163967247*z/2 - 171869283/2.
3*(z - 1)*(z + 87)**4/2
Find k such that -k**5/4 - k**4/4 = 0.
-1, 0
Suppose -2*l**2 + 252*l - 7938 = 0. Calculate l.
63
Find b such that -5*b**4/3 + 10*b**3 - 55*b**2/3 + 10*b = 0.
0, 1, 2, 3
Solve 2*i**4/19 + 664*i**3/19 - 666*i**2/19 = 0 for i.
-333, 0, 1
Let 12*b**4/7 + 16*b**3/7 - 104*b**2/7 - 144*b/7 - 36/7 = 0. Calculate b.
-3, -1, -1/3, 3
Factor -i**2/7 - 18*i/7 - 81/7.
-(i + 9)**2/7
Factor 2*f**2/13 + 516*f/13 + 33282/13.
2*(f + 129)**2/13
Let -2*p**5/5 + 2*p**4/5 + 10*p**3 - 10*p**2 = 0. Calculate p.
-5, 0, 1, 5
Suppose 2*p**2/15 - 274*p/15 - 92/5 = 0. Calculate p.
-1, 138
Determine n, given that -n**5/2 + 17*n**4/2 - 43*n**3/2 + 11*n**2/2 + 22*n - 14 = 0.
-1, 1, 2, 14
Let -4*k**4/7 - 156*k**3/7 + 24*k**2 + 320*k/7 = 0. What is k?
-40, -1, 0, 2
Factor 2*b**2 - 6*b - 36.
2*(b - 6)*(b + 3)
What is g in 2*g**3/11 - 70*g**2/11 - 146*g/11 - 74/11 = 0?
-1, 37
What is r in 50*r**4/11 - 120*r**3/11 - 468*r**2/11 + 648*r/11 + 1458/11 = 0?
-9/5, 3
Let 4*m**5/7 + 40*m**4/7 + 132*m**3/7 + 176*m**2/7 + 80*m/7 = 0. What is m?
-5, -2, -1, 0
Factor -4*h**3/9 + 10*h**2/3 - 6*h + 20/9.
-2*(h - 5)*(h - 2)*(2*h - 1)/9
Factor 3*z**2 - 87*z + 84.
3*(z - 28)*(z - 1)
Factor -5*y**3 + 125*y**2 - 120*y.
-5*y*(y - 24)*(y - 1)
What is h in h**2/2 + 775*h + 600625/2 = 0?
-775
Factor 84*x**3 + 93*x**2 - 117*x.
3*x*(4*x - 3)*(7*x + 13)
Solve -i**5/7 - 115*i**4/7 - 4723*i**3/7 - 82129*i**2/7 - 539920*i/7 - 462400/7 = 0.
-40, -17, -1
Find h such that 4*h**4/7 - 60*h**3/7 + 236*h**2/7 - 132*h/7 - 432/7 = 0.
-1, 3, 4, 9
Let -245*f**4 + 1820*f**3 - 2215*f**2 + 700*f - 60 = 0. Calculate f.
1/7, 2/7, 1, 6
Factor 4*u**4 + 4*u**3 - 784*u**2 - 784*u.
4*u*(u - 14)*(u + 1)*(u + 14)
What is j in -3*j**2/4 - 555*j - 102675 = 0?
-370
Factor j**3 + 361*j**2 - 1090*j + 728.
(j - 2)*(j - 1)*(j + 364)
Factor u**2/2 + 519*u/2 - 260.
(u - 1)*(u + 520)/2
Find z, given that -3*z**4/2 - 237*z**3/2 - 3159*z**2 - 29406*z - 26364 = 0.
-26, -1
Factor -3*r**3/7 + 9*r**2/7 - 12/7.
-3*(r - 2)**2*(r + 1)/7
Factor -18*b**2 - 62*b + 40.
-2*(b + 4)*(9*b - 5)
Find y such that -3*y**4/5 + 51*y**3/5 + 57*y**2/5 - 51*y/5 - 54/5 = 0.
-1, 1, 18
Let 6*r**3/7 - 510*r**2/7 - 1062*r/7 + 1566/7 = 0. Calculate r.
-3, 1, 87
Factor v**3/4