273*k.
3*k*(k - 1)*(k + 7131)**3
Suppose -3*l**5 + 3108*l**4 + 18729*l**3 + 28122*l**2 + 12504*l = 0. What is l?
-4, -1, 0, 1042
Factor -3*v**3/4 + 861*v**2/4 + 867*v/2.
-3*v*(v - 289)*(v + 2)/4
Solve -5*q**2 - 2880785*q - 2880780 = 0 for q.
-576156, -1
Find z such that -5*z**5 + 540*z**4 + 15*z**3 - 1610*z**2 - 1080*z = 0.
-1, 0, 2, 108
Find v such that -3*v**2 + 591*v - 10146 = 0.
19, 178
Factor a**4/10 + 281*a**3/5 + 115629*a**2/10 + 5151854*a/5 + 168067778/5.
(a + 103)**2*(a + 178)**2/10
Find t such that 8*t**3/7 - 540*t**2/7 + 7176*t/7 + 532 = 0.
-1/2, 19, 49
What is j in 2*j**2/5 - 34*j/5 - 23836/5 = 0?
-101, 118
Suppose -v**2 - 19035*v - 38066 = 0. Calculate v.
-19033, -2
What is f in -2*f**2/9 + 112640*f/9 - 1585971200/9 = 0?
28160
Suppose 4*t**5/7 - 272*t**4/7 - 4728*t**3/7 - 2960*t**2 - 2324*t = 0. What is t?
-7, -1, 0, 83
Determine m so that m**3/6 + 1001*m**2/6 + 116032*m/3 - 4695670/3 = 0.
-518, 35
Factor 256*h**3 + 167488*h**2 + 27310820*h - 27478564.
4*(h - 1)*(8*h + 2621)**2
Let -7*c**4/11 + 31*c**3 - 1127*c**2/11 - 175*c - 450/11 = 0. Calculate c.
-1, -2/7, 5, 45
Factor 2*g**2/11 + 42576*g/11 + 85144/11.
2*(g + 2)*(g + 21286)/11
Factor 34*j**2/19 - 2598*j/19 - 12636/19.
2*(j - 81)*(17*j + 78)/19
Determine p so that -4*p**4/3 - 272*p**3 - 52048*p**2/3 - 341248*p - 3313408/3 = 0.
-86, -28, -4
What is t in t**5/2 - 108*t**4 - 113*t**3 + 982*t**2 - 2391*t/2 + 434 = 0?
-4, 1, 217
Let 3*o**3 + 22503*o**2 + 40519977*o - 6357668115 = 0. Calculate o.
-3823, 145
Factor 4*j**2/5 + 4288*j/5 - 71760.
4*(j - 78)*(j + 1150)/5
Solve -2*o**4/13 - 276*o**3/13 - 8024*o**2/13 + 104784*o/13 - 175232/13 = 0 for o.
-74, 2, 8
What is b in 5*b**3/2 - 85*b**2 + 900*b - 2880 = 0?
6, 12, 16
Solve -3*t**5/8 - 255*t**4/4 + 21*t**3/8 + 897*t**2/2 + 765*t/2 = 0 for t.
-170, -2, -1, 0, 3
Find c, given that c**5 + 162*c**4 - 4255*c**3 = 0.
-185, 0, 23
Factor 2*q**3/3 + 706*q**2/3 + 1834*q - 2070.
2*(q - 1)*(q + 9)*(q + 345)/3
Suppose 3*q**3/4 - 52*q**2 + 463*q/4 + 201/2 = 0. What is q?
-2/3, 3, 67
Solve 2*w**3/15 - 238*w**2/5 + 19344*w/5 + 69192 = 0.
-15, 186
Solve -5*x**5 + 20*x**4 + 195*x**3 - 470*x**2 - 1600*x + 3360 = 0 for x.
-4, 2, 3, 7
Factor 15147*x**3 - 272640*x**2 - 108*x.
3*x*(x - 18)*(5049*x + 2)
Factor -3*k**2 - 61086*k + 183285.
-3*(k - 3)*(k + 20365)
Solve 3*c**5/4 + 131*c**4/2 + 1695*c**3/2 - 1575*c**2 + 1367*c/4 + 639/2 = 0 for c.
-71, -18, -1/3, 1
Factor -3*t**4/4 - 60423*t**3 - 1622800620*t**2 - 14533799774928*t - 116166569893248.
-3*(t + 8)*(t + 26852)**3/4
Determine w, given that w**4 + 37900*w**3 + 37899*w**2 = 0.
-37899, -1, 0
Suppose h**5/6 - 2368*h**4/3 - 4744*h**3/3 + 28435*h**2/3 - 66337*h/6 + 11845/3 = 0. Calculate h.
-5, 1, 4738
Find n, given that -n**5/4 - 9*n**4/4 + 231*n**3/4 + 1765*n**2/4 + 1275*n/2 = 0.
-17, -5, -2, 0, 15
Suppose 2*l**2 - 3988*l + 3986 = 0. What is l?
1, 1993
Factor 5*q**5/7 - 1142*q**4/7 + 9348*q**3 - 25992*q**2/7.
q**2*(q - 114)**2*(5*q - 2)/7
Factor -4*s**3 + 216*s**2 + 220*s.
-4*s*(s - 55)*(s + 1)
Find b such that 243*b**4 - 7020*b**3 - 8001*b**2 - 2958*b - 360 = 0.
-4/9, -1/3, 30
Solve 2*t**3/11 + 54*t**2/11 - 386*t/11 + 30 = 0 for t.
-33, 1, 5
Factor 4*q**2 - 125588*q + 125584.
4*(q - 31396)*(q - 1)
Factor -f**3/6 + 2818*f**2 + 16910*f/3.
-f*(f - 16910)*(f + 2)/6
Solve 9*h**5 - 210*h**4 + 747*h**3 - 90*h**2 - 456*h = 0 for h.
-2/3, 0, 1, 4, 19
Factor -4*c**3/7 - 576*c**2/7 - 1968*c - 12992.
-4*(c + 14)**2*(c + 116)/7
Factor 4*y**2/3 - 161336*y/3 + 1626831556/3.
4*(y - 20167)**2/3
Solve k**2/9 + 2836*k/3 + 8507/9 = 0.
-8507, -1
Solve -5*c**3 + 33475*c**2 - 55877840*c - 505615680 = 0 for c.
-9, 3352
Factor 2*f**4 - 25040*f**3 + 78400236*f**2 - 156725360*f + 78350162.
2*(f - 6259)**2*(f - 1)**2
Factor -p**2 + 623*p - 82990.
-(p - 430)*(p - 193)
Solve -v**4/4 - 37*v**3/2 + 2307*v**2/4 - 4122*v + 3564 = 0 for v.
-99, 1, 12
Factor -3*q**2 + 14679*q - 14676.
-3*(q - 4892)*(q - 1)
What is o in o**5/2 + 167*o**4 + 318*o**3 - 4625*o**2 + 15251*o/2 - 3486 = 0?
-332, -7, 1, 3
Suppose -3*s**5/2 + 2751*s**4 - 2654589*s**3/2 + 59672049*s**2 + 1327296*s - 59674800 = 0. Calculate s.
-1, 1, 50, 892
Factor -n**4 + 2420*n**3 - 2419*n**2.
-n**2*(n - 2419)*(n - 1)
Factor -4*i**2/7 - 12212*i/7 - 24312.
-4*(i + 14)*(i + 3039)/7
Let -5*j**4/6 + 45250*j**3/3 - 45235*j**2/3 - 75410*j - 90495/2 = 0. What is j?
-1, 3, 18099
Find u such that 2*u**2/7 - 158*u + 27404/7 = 0.
26, 527
Determine m so that 2*m**5 + 56*m**4 - 6712*m**3 + 105284*m**2 - 85450*m - 197500 = 0.
-79, -1, 2, 25
Factor x**4/2 + 20*x**3 - 474*x**2 + 2720*x - 3712.
(x - 8)**2*(x - 2)*(x + 58)/2
Factor -2*q**3 - 302*q**2 - 10356*q + 33840.
-2*(q - 3)*(q + 60)*(q + 94)
Let 4*d**2/5 - 664*d/5 + 8512/5 = 0. Calculate d.
14, 152
Find d, given that -5*d**4 - 7280*d**3 + 14605*d**2 + 36420*d - 43740 = 0.
-1458, -2, 1, 3
Let -2*m**4/3 - 148*m**3/3 + 1870*m**2/3 = 0. Calculate m.
-85, 0, 11
Determine v, given that -4*v**5/9 - 154*v**4/9 - 44*v**3/9 + 1210*v**2/9 - 88*v/3 - 152 = 0.
-38, -3, -1, 3/2, 2
Factor 4*b**2 + 1572*b + 68600.
4*(b + 50)*(b + 343)
Solve 2401*h**3/3 + 496909*h**2 - 60855*h + 1863 = 0.
-621, 3/49
Solve -2*z**3/9 - 182*z**2/3 - 2340*z - 39952/9 = 0 for z.
-227, -44, -2
Suppose 3*v**3 - 708*v**2 - 2205*v + 12906 = 0. What is v?
-6, 3, 239
Let -5*s**4 - 26610*s**3 - 35431200*s**2 - 70756000*s = 0. Calculate s.
-2660, -2, 0
Determine h, given that 135*h**5/2 - 855*h**4/4 - 2685*h**3/4 + 415*h**2/2 + 285*h - 50 = 0.
-2, -2/3, 1/6, 2/3, 5
Solve 2*l**4/3 + 80*l**3 - 1490*l**2/3 + 920*l - 504 = 0 for l.
-126, 1, 2, 3
Factor -2*r**3/5 - 9*r**2/5 + 168*r/5 + 931/5.
-(r + 7)**2*(2*r - 19)/5
Solve -3*j**3 + 243*j**2 - 3588*j + 3348 = 0.
1, 18, 62
Let -s**3/10 + 69*s**2/10 - 999*s/10 + 4131/10 = 0. Calculate s.
9, 51
Factor -2*y**2 - 33660*y - 33658.
-2*(y + 1)*(y + 16829)
Factor 3*m**3/4 - 2415*m**2/4 + 484809*m/4 + 487227/4.
3*(m - 403)**2*(m + 1)/4
Factor 2*r**2/15 + 194188*r/15 + 4713622418/15.
2*(r + 48547)**2/15
Factor 11*h**2 - 7591*h/3 + 230/3.
(h - 230)*(33*h - 1)/3
Suppose -2*n**3/7 - 542*n**2/7 - 5238*n/7 - 4698/7 = 0. Calculate n.
-261, -9, -1
What is l in -2*l**4 + 910*l**3 - 892*l**2 - 7288*l + 10896 = 0?
-3, 2, 454
Determine z so that -5*z**2/2 + 23*z/2 + 3731 = 0.
-182/5, 41
Factor -r**3/5 - 1227*r**2/5 + 52857*r/5 - 559629/5.
-(r - 21)**2*(r + 1269)/5
Find f such that 4*f**3 - 8176*f**2 - 165204*f + 173376 = 0.
-21, 1, 2064
Let 2*g**5/3 + 6*g**4 + 28*g**3/3 - 4*g**2/3 - 10*g - 14/3 = 0. Calculate g.
-7, -1, 1
Let 3*f**5 + 315*f**4 + 3381*f**3 + 3069*f**2 = 0. What is f?
-93, -11, -1, 0
Factor 2*h**2/25 + 35132*h/25 + 154282178/25.
2*(h + 8783)**2/25
Find u such that 1805*u**3 - 43244*u**2 - 9116*u/5 - 96/5 = 0.
-2/95, 24
Factor -5*u**2 + 1435*u - 5660.
-5*(u - 283)*(u - 4)
Let 868562*o**2/17 + 698540*o/17 + 140450/17 = 0. Calculate o.
-265/659
Suppose 24*a**5 - 261*a**4 - 105*a**3 + 831*a**2 - 423*a - 66 = 0. Calculate a.
-2, -1/8, 1, 11
Factor 2*d**5/5 + 48956*d**4/5 - 29376*d**3 + 146884*d**2/5 - 48962*d/5.
2*d*(d - 1)**3*(d + 24481)/5
Solve j**4/2 - 143*j**3/2 - 153*j**2/2 + 1287*j/2 + 648 = 0 for j.
-3, -1, 3, 144
What is o in -o**5 - 77*o**4 + 665*o**3 - 1283*o**2 - 664*o + 1360 = 0?
-85, -1, 1, 4
Suppose 5*i**4 - 11800*i**3 + 6938360*i**2 + 27895200*i + 27942480 = 0. Calculate i.
-2, 1182
Factor 20*b**3 - 12248*b**2 + 353484*b + 216504.
4*(b - 582)*(b - 31)*(5*b + 3)
Factor -a**3 - 212*a**2 - 1220*a + 3296.
-(a - 2)*(a + 8)*(a + 206)
Factor 5*m**4 + 18790*m**3 + 17577885*m**2 - 141526280*m + 283655120.
5*(m - 4)**2*(m + 1883)**2
Factor -2*c**2/19 - 120780*c/19 - 1823476050/19.
-2*(c + 30195)**2/19
Let -f**5/6 - 17*f**4/6 - 11*f**3/6 + 77*f**2/6 - 8*f = 0. What is f?
-16, -3, 0, 1
Determine v, given that -98*v**5/3 + 642712*v**4/9 - 703510*v**3/9 - 43724*v**2/3 + 157304*v/9 + 34960/9 = 0.
-2/7, 2/3, 1, 2185
Let 3*s**3 + 1806*s**2 + 262548*s - 2809080 = 0. Calculate s.
-306, 10
Let -5*o**2 - 2313840*o - 267692777280 = 0. What is o?
-231384
Factor 4*j**2 + 48040*j + 48036.
4*(j + 1)*(j + 12009)
What is g in -g**4/4 - 19*g**3/2 - 481*g**2/4 - 570*g - 900 = 0?
-15, -4
Factor -2*r**2 + 86372*r - 932515298.
-2*(r - 21593)**2
Let 2*f**4/13 + 212*f**3/13 + 4866*f**2/13 + 20944*f/13 - 175712/13 = 0. Calculate f.
-76, -17, 4
Determine k so that -2*k**