160.
5*(n - 6)**3*(n + 27)
Factor -3*m**4 + 78*m**3 + 507*m**2 - 1302*m.
-3*m*(m - 31)*(m - 2)*(m + 7)
Let 14*b**3/9 + 1828*b**2/9 - 2656*b/9 - 704/3 = 0. Calculate b.
-132, -4/7, 2
Factor -f**3/3 - 10*f**2/3 + 361*f/3 - 350/3.
-(f - 14)*(f - 1)*(f + 25)/3
What is d in 20*d**4 + 416*d**3 - 1484*d**2 + 1240*d - 192 = 0?
-24, 1/5, 1, 2
Factor -2*m**2/3 - 19280*m/3 - 46464800/3.
-2*(m + 4820)**2/3
Let q**2 - 24*q - 640 = 0. Calculate q.
-16, 40
Factor 2*v**3/9 - 238*v**2 + 2848*v/3 - 8536/9.
2*(v - 1067)*(v - 2)**2/9
Factor 4*o**2 + 10136*o.
4*o*(o + 2534)
Let 42*u**4 - 167*u**3 + 206*u**2 - 79*u - 2 = 0. Calculate u.
-1/42, 1, 2
Factor -3*x**2 + 210*x + 213.
-3*(x - 71)*(x + 1)
Factor -98*s**3 - 6342*s**2 - 111456*s - 279936.
-2*(s + 3)*(7*s + 216)**2
Find b such that -49*b**3/2 - 441*b**2/2 - 202*b - 48 = 0.
-8, -4/7, -3/7
Let -2*g**4/3 - 56*g**3/3 + 38*g**2/3 + 7220*g/3 = 0. What is g?
-19, 0, 10
Find h such that -16029*h**3 - 97*h**2 + 824*h + 12 = 0.
-2/9, -2/137, 3/13
Suppose -2*m**3/13 - 124*m**2/13 + 2*m/13 + 124/13 = 0. What is m?
-62, -1, 1
Factor 3*n**2 + 135*n - 3162.
3*(n - 17)*(n + 62)
Suppose -2*w**2 + 52*w - 338 = 0. What is w?
13
Solve -u**2/7 - 2*u - 13/7 = 0 for u.
-13, -1
Factor 2*o**2/9 - 500*o/9 + 832.
2*(o - 234)*(o - 16)/9
What is h in h**3/6 + 15*h**2/2 - h/6 - 15/2 = 0?
-45, -1, 1
Factor -9*p**2 - 37*p - 30.
-(p + 3)*(9*p + 10)
Solve y**3 + 29*y**2 - 201*y + 315 = 0 for y.
-35, 3
Let -k**2/4 - 55*k/4 - 27/2 = 0. Calculate k.
-54, -1
Determine b so that -b**5 + 21*b**4 - 164*b**3 + 576*b**2 - 864*b + 432 = 0.
1, 2, 6
Factor -13*b**4 + 2*b**3 + 13*b**2 - 2*b.
-b*(b - 1)*(b + 1)*(13*b - 2)
Factor 207*p**2 - 1065*p + 150.
3*(p - 5)*(69*p - 10)
Solve 2*t**5 + 10*t**4 - 144*t**3 - 472*t**2 - 320*t = 0.
-10, -2, -1, 0, 8
Factor -y**2/3 - 168*y - 21168.
-(y + 252)**2/3
Factor -5*q**2 - 2490*q - 2485.
-5*(q + 1)*(q + 497)
Suppose 2*i**5/7 + 16*i**4/7 - 24*i**3/7 - 52*i**2/7 + 22*i/7 + 36/7 = 0. Calculate i.
-9, -1, 1, 2
Find g such that -2*g**3 + 2*g**2 + 24*g = 0.
-3, 0, 4
Let -2*u**3/3 + 486*u**2 + 974*u + 1462/3 = 0. Calculate u.
-1, 731
Factor -9*v**2/11 + 538*v/11 + 120/11.
-(v - 60)*(9*v + 2)/11
Suppose -54*f**4/5 - 3132*f**3/5 + 18*f**2/5 + 1048*f/5 + 232/5 = 0. Calculate f.
-58, -1/3, 2/3
Suppose n**5 + n**4 - 7*n**3 - n**2 + 6*n = 0. What is n?
-3, -1, 0, 1, 2
Factor u**3 + 8*u**2 + 20*u + 16.
(u + 2)**2*(u + 4)
Solve 4*b**3 + 4240*b**2 + 1119348*b - 2255688 = 0 for b.
-531, 2
Solve 2*j**5/9 - 10*j**4/9 - 14*j**3/9 + 10*j**2/9 + 4*j/3 = 0.
-1, 0, 1, 6
Factor 5*g**4 + 137*g**3 + 54*g**2 - 14580*g - 5832.
(g - 9)*(g + 18)**2*(5*g + 2)
Suppose 2*w**3/5 + 2*w**2 - 44*w/5 + 32/5 = 0. Calculate w.
-8, 1, 2
Solve 2*p**3 + 32*p**2 + 58*p + 28 = 0.
-14, -1
Factor 3*v**5/7 - 3*v**4/7 - 324*v**3/7 - 240*v**2 - 2496*v/7.
3*v*(v - 13)*(v + 4)**3/7
Suppose -5*d**5 - 40*d**4 + 300*d**3 - 350*d**2 - 295*d + 390 = 0. Calculate d.
-13, -1, 1, 2, 3
Suppose 2*p**3 + 70*p**2 + 400*p - 4000 = 0. What is p?
-20, 5
Factor 2*v**3/11 - 68*v**2/11 + 190*v/11 - 124/11.
2*(v - 31)*(v - 2)*(v - 1)/11
Determine n so that n**4 - 10*n**3 + 20*n**2 + 10*n - 21 = 0.
-1, 1, 3, 7
Factor 75*m**2 - 145*m - 10.
5*(m - 2)*(15*m + 1)
What is z in -14*z**4/9 - 458*z**3/9 - 694*z**2/9 + 1538*z/9 - 124/3 = 0?
-31, -3, 2/7, 1
Suppose 3364*l**4 - 1624*l**3 - 3168*l**2 + 1624*l - 196 = 0. Calculate l.
-1, 7/29, 1
Factor -3*m**4/4 - 649*m**3 - 865*m**2/4.
-m**2*(m + 865)*(3*m + 1)/4
Let 64*p**4 - 1568*p**3 + 9988*p**2 - 4704*p + 576 = 0. Calculate p.
1/4, 12
Factor -g**4/6 - 23*g**3/3 + 338*g**2/3 - 580*g/3.
-g*(g - 10)*(g - 2)*(g + 58)/6
Factor -x**5 + 15*x**4 + 34*x**3.
-x**3*(x - 17)*(x + 2)
Let 10*m**3 + 515*m**2 - 265*m - 260 = 0. Calculate m.
-52, -1/2, 1
Suppose -8*p**2/13 + 266*p/13 - 66/13 = 0. Calculate p.
1/4, 33
Factor 15*h**3 + 205*h**2 + 125*h - 65.
5*(h + 1)*(h + 13)*(3*h - 1)
Solve -5*t**2 - 4410*t - 972405 = 0 for t.
-441
Determine k so that 16*k**2 + 28*k - 8 = 0.
-2, 1/4
What is j in -4*j**2 + 5344*j = 0?
0, 1336
What is k in k**2/6 - 1456*k/3 + 1059968/3 = 0?
1456
What is m in 3*m**2 + 2022*m - 2025 = 0?
-675, 1
Find c such that c**4 + 27*c**3 + 51*c**2 + 25*c = 0.
-25, -1, 0
Determine p, given that 3*p**4 - 27*p**3 + 21*p**2 + 27*p - 24 = 0.
-1, 1, 8
Find o, given that -3*o**4/2 - 21*o**3/4 - 9*o**2/4 + 6*o + 3 = 0.
-2, -1/2, 1
Factor -a**3/4 + a**2/4 + 5*a/2 + 2.
-(a - 4)*(a + 1)*(a + 2)/4
Factor 2*u**2/15 - 2*u/5 - 56/15.
2*(u - 7)*(u + 4)/15
Factor -t**2 - 5*t - 6.
-(t + 2)*(t + 3)
Factor 2*g**3 - 51*g**2/4.
g**2*(8*g - 51)/4
Let -t**2 + 1 = 0. Calculate t.
-1, 1
Factor -2*q**2/9 - 2096*q/9 - 549152/9.
-2*(q + 524)**2/9
Solve -5*p**4 - 100*p**3 + 480*p**2 = 0.
-24, 0, 4
Suppose n**4/3 + 896*n**3/3 - n**2 - 2690*n/3 - 1792/3 = 0. What is n?
-896, -1, 2
Factor v**2/7 + 13*v/7.
v*(v + 13)/7
Factor -v**3/5 - 8*v**2/5 + 84*v/5.
-v*(v - 6)*(v + 14)/5
Let 1331*o**4 + 19844*o**3 + 104346*o**2 + 218484*o + 132651 = 0. What is o?
-51/11, -1
Factor 5*v**5 - 37*v**4 + 64*v**3 - 20*v**2.
v**2*(v - 5)*(v - 2)*(5*v - 2)
Factor 4*o**3/3 + 40*o**2/3 + 68*o/3 + 32/3.
4*(o + 1)**2*(o + 8)/3
Determine m so that 4*m**4/3 + 312*m**3 - 956*m**2/3 - 1248*m + 3760/3 = 0.
-235, -2, 1, 2
Factor -6*i**2/11 + 188*i + 690/11.
-2*(i - 345)*(3*i + 1)/11
Solve -h**5/2 - 59*h**4/4 - 437*h**3/4 + 77*h**2 + 2240*h + 1088 = 0 for h.
-17, -8, -1/2, 4
Suppose -6*p**5/7 - 74*p**4/7 + 226*p**3/7 - 206*p**2/7 + 60*p/7 = 0. Calculate p.
-15, 0, 2/3, 1
Determine r so that -3*r**3 + 27*r**2 = 0.
0, 9
Factor -2*x**4/13 - 2*x**3/13 + 18*x**2/13 - 22*x/13 + 8/13.
-2*(x - 1)**3*(x + 4)/13
Find g such that 2*g**4 - 510*g**3 = 0.
0, 255
Suppose 2*r**4 + 648*r**3/7 - 474*r**2/7 - 188*r/7 = 0. Calculate r.
-47, -2/7, 0, 1
Factor 3*r**2 - 1386*r + 2760.
3*(r - 460)*(r - 2)
What is t in 3*t**5 - 333*t**4 + 9066*t**3 + 10080*t**2 - 18816*t = 0?
-2, 0, 1, 56
Determine w so that -6*w**3 - 184*w**2 - 1374*w - 836 = 0.
-19, -11, -2/3
Factor -3*h**2/2 - 267*h - 531/2.
-3*(h + 1)*(h + 177)/2
Factor 3*d**3/2 + 144*d**2 + 567*d/2 + 141.
3*(d + 1)**2*(d + 94)/2
Factor 5*l**2 + 365*l + 360.
5*(l + 1)*(l + 72)
Factor -2*a**2 + 244*a.
-2*a*(a - 122)
Determine l, given that 2*l**2 - 612*l + 46818 = 0.
153
Factor 2*d**2 - 60*d - 62.
2*(d - 31)*(d + 1)
What is m in 121*m**3/2 - 11*m**2 - 170*m - 100 = 0?
-10/11, 2
Let n**3/9 - 142*n**2/9 + 4745*n/9 + 21316/9 = 0. Calculate n.
-4, 73
Suppose m**4/5 - 12*m**3/5 + 21*m**2/5 - 2*m = 0. What is m?
0, 1, 10
Factor -v**4/5 + 1246*v**3/5 - 390613*v**2/5 + 1547532*v/5 - 1542564/5.
-(v - 621)**2*(v - 2)**2/5
Solve 4*t**5 - 64*t**4 - 4*t**3 + 64*t**2 = 0 for t.
-1, 0, 1, 16
Suppose -4*n**3/3 + 284*n**2/3 + 2216*n/3 - 832 = 0. Calculate n.
-8, 1, 78
Suppose c**4/4 + 3*c**3/2 - c**2/4 - 3*c/2 = 0. Calculate c.
-6, -1, 0, 1
Factor -2*l**5/5 - 2*l**4 - 16*l**3/5 - 8*l**2/5.
-2*l**2*(l + 1)*(l + 2)**2/5
Factor -v**4 + 9*v**3 + 135*v**2 + 459*v + 486.
-(v - 18)*(v + 3)**3
Factor -4*a**2/3 + 4*a/3 + 8.
-4*(a - 3)*(a + 2)/3
Find q such that 2*q**4/11 - 2*q**3/11 - 318*q**2/11 - 622*q/11 - 28 = 0.
-11, -1, 14
Solve 2*i**4 - 90*i**3 - 102*i**2 + 466*i - 276 = 0.
-3, 1, 46
Find p, given that 2*p**5 + 8*p**4 - 22*p**3 - 52*p**2 + 128*p - 64 = 0.
-4, 1, 2
Suppose -r**4 - 26*r**3/3 - 79*r**2/3 - 32*r - 12 = 0. What is r?
-3, -2, -2/3
Factor -y**2/4 + 521*y - 271441.
-(y - 1042)**2/4
Let 5*h**5 + 25*h**4 + 45*h**3 + 35*h**2 + 10*h = 0. Calculate h.
-2, -1, 0
Factor 11*z**2 - 31*z/3 - 2/3.
(z - 1)*(33*z + 2)/3
Factor m**3 - 85*m**2 - m + 85.
(m - 85)*(m - 1)*(m + 1)
Factor 3*l**2/7 + 2139*l/7 + 10620/7.
3*(l + 5)*(l + 708)/7
Determine t, given that 3*t**5 - 45*t**4 + 189*t**3 - 147*t**2 = 0.
0, 1, 7
Solve -2*o**4/7 + 12*o**3/7 - 2*o**2/7 - 48*o/7 + 40/7 = 0 for o.
-2, 1, 2, 5
Suppose 4*v**2 + 1604*v + 1600 = 0. Calculate v.
-400, -1
What is n in 2*n**3/5 - 24*n**2/5 - 162*n/5 - 136/5 = 0?
-4, -1, 17
Factor -3*k**4 + 36*k**3 - 33*k**2.
-3*k**2*(k - 11)*(k - 1)
Find x, given that 1904*x**5 - 4338*x**4 + 1056*x**3 + 8*x**2 = 0.
-1/136, 0, 2/7, 2
Suppose 6*m**5/5 + 14*m**4/15 - 22*m**3/15 - 14*m**2/15 + 4*m/15 = 0. What is m?
-1, 0, 2/9, 1
Factor 3*x**4 - 24*x**3 + 57*x**2 - 36*x.
3*x*(x - 4)*(x - 3)*(x - 1)
Factor 3*h**2 - 1200*h + 120000.
3*(h - 200)**2
Determine a so that 19*a**5/2 - 18*