4 + 74*t**3 - 172*t**2 + 56*t + 80 = 0.
-5, -1/2, 2
Solve -3*x**3 + 18*x**2 + 336*x = 0.
-8, 0, 14
Determine z, given that 3*z**5/4 + 9*z**4/2 + 6*z**3 - 3*z**2/2 - 27*z/4 - 3 = 0.
-4, -1, 1
Factor 5*u**3 - 40*u**2 - 20*u + 160.
5*(u - 8)*(u - 2)*(u + 2)
Factor -2*o**2/3 + 142*o/3.
-2*o*(o - 71)/3
Determine o, given that -o**5 - 4*o**4 + 3*o**3 + 34*o**2 + 52*o + 24 = 0.
-2, -1, 3
Factor -2*c**3 + 198*c**2 - 4800*c - 5000.
-2*(c - 50)**2*(c + 1)
Factor -2*v**5/23 - 40*v**4/23 - 290*v**3/23 - 900*v**2/23 - 1080*v/23 - 432/23.
-2*(v + 1)**2*(v + 6)**3/23
Factor 3*c**4 + 204*c**3 - 3*c**2 - 204*c.
3*c*(c - 1)*(c + 1)*(c + 68)
Solve i**4/4 - i**3 + i**2/4 + 3*i/2 = 0 for i.
-1, 0, 2, 3
Solve 2*t**3/9 - 4*t**2/9 - 10*t/3 = 0.
-3, 0, 5
Factor 3*m**3/5 - 3*m**2 + 6*m/5 + 24/5.
3*(m - 4)*(m - 2)*(m + 1)/5
Factor -27*n**2 + 888*n.
-3*n*(9*n - 296)
Factor b**2 + 383*b - 770.
(b - 2)*(b + 385)
Factor 2*y**4/7 + 2*y**3 - 18*y**2/7 - 2*y + 16/7.
2*(y - 1)**2*(y + 1)*(y + 8)/7
What is j in 2*j**5/9 + 290*j**4/9 + 574*j**3/9 + 286*j**2/9 = 0?
-143, -1, 0
Solve -5*x**4 - 60*x**3 - 160*x**2 + 240*x + 720 = 0 for x.
-6, -2, 2
Factor -2*g**3/13 + 426*g**2/13 - 30246*g/13 + 715822/13.
-2*(g - 71)**3/13
Suppose -2*f**2/3 - 386*f/3 = 0. Calculate f.
-193, 0
Factor k**5 - 47*k**4 + 655*k**3 - 2373*k**2 + 1764*k.
k*(k - 21)**2*(k - 4)*(k - 1)
Factor m**3 + 19*m**2 + 56*m - 196.
(m - 2)*(m + 7)*(m + 14)
Factor a**2/3 + 14*a/3 - 32/3.
(a - 2)*(a + 16)/3
Factor -3*j**2 - 396*j - 2625.
-3*(j + 7)*(j + 125)
Factor 5*x**5 - 10*x**4 - 35*x**3 - 20*x**2.
5*x**2*(x - 4)*(x + 1)**2
Find p, given that p**2 - 400*p + 1191 = 0.
3, 397
Find d such that -3*d**3 + 825*d**2 - 55461*d - 173889 = 0.
-3, 139
Find f, given that 4*f**3 - 72*f**2 - 16*f + 288 = 0.
-2, 2, 18
Factor -6*u**3 + 453*u**2 - 1485*u - 1944.
-3*(u - 72)*(u + 1)*(2*u - 9)
Factor -b**2/2 - 69*b/2 - 504.
-(b + 21)*(b + 48)/2
Factor -2*d**5 - 40*d**4 - 192*d**3 - 356*d**2 - 286*d - 84.
-2*(d + 1)**3*(d + 3)*(d + 14)
Find f, given that -2*f**4 - 20*f**3 + 366*f**2 + 2080*f - 21632 = 0.
-13, 8
Factor 530*n**5 + 2165*n**4 + 3360*n**3 + 2390*n**2 + 710*n + 45.
5*(n + 1)**4*(106*n + 9)
Determine i, given that 3*i**3 + 24*i**2 - 12*i - 96 = 0.
-8, -2, 2
What is n in -4*n**4/3 + 8696*n**3/3 - 1572524*n**2 - 9461248*n/3 - 4734976/3 = 0?
-1, 1088
Let -5*q**5/2 + 8*q**4 + 36*q**3 + 35*q**2 + 13*q/2 - 3 = 0. What is q?
-1, 1/5, 6
Factor i**3/2 - 29*i**2/2 + 231*i/2 - 459/2.
(i - 17)*(i - 9)*(i - 3)/2
Let 20*r**5/3 + 112*r**4/3 + 60*r**3 + 24*r**2 = 0. Calculate r.
-3, -2, -3/5, 0
Determine p, given that 4*p**3 - 136*p**2 + 1392*p - 4320 = 0.
6, 10, 18
Solve -3*r**3 - 108*r**2 - 807*r - 702 = 0.
-26, -9, -1
Let -3*g**2 - 3198*g = 0. What is g?
-1066, 0
Factor 2*a**2 - 1032*a + 133128.
2*(a - 258)**2
Factor 4*f**3 + 52*f**2 - 120*f.
4*f*(f - 2)*(f + 15)
Factor -5*q**4 + 75*q**3 - 195*q**2 + 185*q - 60.
-5*(q - 12)*(q - 1)**3
Let -3*y**3 + 27*y**2 + 156*y = 0. What is y?
-4, 0, 13
Find h, given that 3*h**3/5 + 257*h**2/5 - 347*h/5 + 87/5 = 0.
-87, 1/3, 1
Factor -3*l**3 - 123*l**2 - 498*l + 1512.
-3*(l - 2)*(l + 7)*(l + 36)
Suppose 2*n**2/11 + 5286*n/11 - 10580/11 = 0. What is n?
-2645, 2
Find p, given that p**5 - 5*p**4 + 2*p**3 + 14*p**2 - 3*p - 9 = 0.
-1, 1, 3
Let -3*r**2/7 - 90*r/7 + 93/7 = 0. Calculate r.
-31, 1
Factor -4*l**5/3 + 148*l**4 - 1656*l**3 + 7272*l**2 - 14364*l + 10692.
-4*(l - 99)*(l - 3)**4/3
Factor -2*v**4/9 + 538*v**3/9 + 60*v**2.
-2*v**2*(v - 270)*(v + 1)/9
What is w in -2*w**2 + 32*w - 120 = 0?
6, 10
Suppose o**2 + 113*o + 840 = 0. What is o?
-105, -8
Factor 4*a**3 + 428*a**2 - 868*a + 436.
4*(a - 1)**2*(a + 109)
Determine k, given that -3*k**4 - 51*k**3 - 141*k**2 + 195*k = 0.
-13, -5, 0, 1
Factor -g**2/8 + 525*g/8 + 527/4.
-(g - 527)*(g + 2)/8
Solve i**3/3 - 188*i**2/3 - 1955*i/3 - 1650 = 0 for i.
-5, 198
Factor -c**3/7 + 10*c**2 - 268*c/7 + 264/7.
-(c - 66)*(c - 2)**2/7
What is t in 2*t**3/9 + 8*t**2/9 - 26*t/3 - 28 = 0?
-7, -3, 6
Find q such that -2*q**4/9 - 23*q**3/9 - 49*q**2/9 - 37*q/9 - 1 = 0.
-9, -1, -1/2
Determine s, given that 3*s**2 + 5736*s + 2741808 = 0.
-956
Determine s so that 4*s**2 - 3448*s - 3452 = 0.
-1, 863
Let x**3/7 + 2*x**2/7 - 8*x/7 = 0. Calculate x.
-4, 0, 2
Let -2*l**5/21 + 10*l**4/21 - 2*l**3/21 - 26*l**2/21 + 4*l/21 + 16/21 = 0. What is l?
-1, 1, 2, 4
Determine g, given that g**4/2 - 18*g**3 - g**2/2 + 18*g = 0.
-1, 0, 1, 36
Suppose r**4/9 + 4*r**3/3 - 171*r**2 + 18050*r/9 = 0. What is r?
-50, 0, 19
Factor -5*i**5 - 85*i**4 + 1000*i**3.
-5*i**3*(i - 8)*(i + 25)
Factor -2*o**2 + 32*o/3 - 26/3.
-2*(o - 1)*(3*o - 13)/3
What is b in b**3/2 - 2*b**2 = 0?
0, 4
Let z**3/2 + 130*z**2 - 526*z + 528 = 0. Calculate z.
-264, 2
Determine w so that 3*w**4 + 36*w**3 + 51*w**2 - 90*w = 0.
-10, -3, 0, 1
Factor -5*t**4 + 5*t**3 + 25*t**2 + 15*t.
-5*t*(t - 3)*(t + 1)**2
Factor x**3/4 - 17*x**2/4 + 14*x - 13.
(x - 13)*(x - 2)**2/4
Let 5*p**3 + 130*p**2 - 745*p + 930 = 0. What is p?
-31, 2, 3
Solve -10*z**3 + 3845*z**2 + 9665*z + 3870 = 0.
-2, -1/2, 387
Factor s**4/3 - 83*s**3/3 + 825*s**2 - 30625*s/3 + 125000/3.
(s - 25)**3*(s - 8)/3
Factor 3*q**3/4 - 378*q**2 + 63504*q - 3556224.
3*(q - 168)**3/4
Factor -k**3/7 + 3*k**2/7 + 6*k/7 - 8/7.
-(k - 4)*(k - 1)*(k + 2)/7
Find x, given that 5*x**4 - 10*x**3 - 35*x**2 - 20*x = 0.
-1, 0, 4
Determine k so that -2*k**4 + 42*k**3 + 324*k**2 = 0.
-6, 0, 27
Solve -b**4/2 - 52*b**3 - 1403*b**2 - 2652*b - 2601/2 = 0 for b.
-51, -1
Find w such that -54*w**4 + 39*w**3 - 75*w**2/8 + 3*w/4 = 0.
0, 2/9, 1/4
Factor -4*g**5/9 - 370*g**4/9 - 184*g**3/9.
-2*g**3*(g + 92)*(2*g + 1)/9
What is b in b**4/3 - 46*b**3/3 + 793*b**2/3 - 2024*b + 5808 = 0?
11, 12
Factor -3*d**4/2 - 9*d**3/2 + 6*d**2 + 18*d.
-3*d*(d - 2)*(d + 2)*(d + 3)/2
Let 6*g**3 + 1095*g**2 - 549*g = 0. Calculate g.
-183, 0, 1/2
Factor -15*q**3 - 905*q**2 - 290*q + 600.
-5*(q + 1)*(q + 60)*(3*q - 2)
Factor -v**3 + 1048*v**2 - 273525*v - 551250.
-(v - 525)**2*(v + 2)
Factor 4*q**3 - 28*q**2 - 40*q + 64.
4*(q - 8)*(q - 1)*(q + 2)
Factor 2*d**2/11 + 6*d/11 - 8/11.
2*(d - 1)*(d + 4)/11
Factor 2*r**3/11 - 64*r**2/11 + 50*r/11 + 372/11.
2*(r - 31)*(r - 3)*(r + 2)/11
Find a, given that -3*a**3 - 57*a**2 - 192*a + 252 = 0.
-14, -6, 1
What is c in -10*c**2 - 215*c + 470 = 0?
-47/2, 2
Determine u, given that u**5/9 + 4*u**4/9 + 4*u**3/9 - 2*u**2/9 - 5*u/9 - 2/9 = 0.
-2, -1, 1
Suppose 10*o**3 + 15*o**2 - 55*o - 30 = 0. Calculate o.
-3, -1/2, 2
Factor -5*j**3 - 35*j**2 - 35*j + 75.
-5*(j - 1)*(j + 3)*(j + 5)
Factor -3*s**3 + 129*s**2 - 1365*s + 4263.
-3*(s - 29)*(s - 7)**2
Let -20*d**5 + 445*d**4 - 1570*d**3 + 605*d**2 + 2100*d - 540 = 0. What is d?
-1, 1/4, 2, 3, 18
Determine v, given that -2*v**5 + 8*v**4 - 32*v**2 + 32*v = 0.
-2, 0, 2
Factor -2*w**2 + 352*w - 15488.
-2*(w - 88)**2
Find d, given that 6*d**3 - 80*d**2 + 162*d - 88 = 0.
1, 4/3, 11
Determine r so that 2*r**2 + 18256*r + 41660192 = 0.
-4564
Factor -20*k**2 - 228*k - 88.
-4*(k + 11)*(5*k + 2)
Determine f, given that 25*f**3/4 + 115*f**2/4 + 40*f + 15 = 0.
-2, -3/5
Let -2*p**5/9 - 22*p**4/9 + 50*p**3/9 - 26*p**2/9 = 0. What is p?
-13, 0, 1
Factor 3*n**2 - 60*n + 108.
3*(n - 18)*(n - 2)
Factor -y**5 - 34*y**4 - 115*y**3 + 150*y**2.
-y**2*(y - 1)*(y + 5)*(y + 30)
Find r, given that r**4/3 - 11533*r**3/3 + 14780180*r**2 - 56844564592*r/3 + 56800235584/3 = 0.
1, 3844
Factor -27*z**3 + 7824*z**2 + 9597*z + 1746.
-3*(z - 291)*(z + 1)*(9*z + 2)
Factor 10*a**3/11 + 5714*a**2/11 + 2284*a/11.
2*a*(a + 571)*(5*a + 2)/11
Factor 2*r**3/5 - 908*r**2/5 + 103058*r/5.
2*r*(r - 227)**2/5
Determine f, given that -14*f**3/15 + 202*f**2/3 - 44*f/5 - 288/5 = 0.
-6/7, 1, 72
Suppose -4*o**4/3 + 16*o**3/3 + 40*o**2 - 272*o/3 + 140/3 = 0. Calculate o.
-5, 1, 7
Factor -4*j**4 - 72*j**3 + 428*j**2 - 720*j + 368.
-4*(j - 2)**2*(j - 1)*(j + 23)
Suppose -2*d**5/5 + 4*d**4/5 + 4*d**3/5 - 16*d**2/5 + 14*d/5 - 4/5 = 0. What is d?
-2, 1
Factor 5*i**5 + 10*i**4 - 115*i**3 - 120*i**2 + 720*i.
5*i*(i - 3)**2*(i + 4)**2
Solve 2*p**4/11 - 126*p**3/11 + 1836*p**2/11 - 10152*p/11 + 19440/11 = 0 for p.
6, 45
Factor 2*c**4/7 - 284*c**3/7 + 15122*c**2/7 - 51120*c + 453600.
2*(c - 36)**2*(c - 35)**2/7
Suppose 4*y**3 - 1456*y**2 - 2924*y - 1464 = 0. Calculate y.
-1, 366
Suppose 3*n**2 + 318*n + 8427 = 0. Wh