t 2*j**4 + 15354*j**3 - 30724*j**2 - 61416*j + 122864 = 0.
-7679, -2, 2
Determine x, given that x**4/8 + 25*x**3/8 + 33*x**2/8 - 289*x/8 + 115/4 = 0.
-23, -5, 1, 2
Find i, given that 18*i**5 - 345*i**4 + 1353*i**3 - 576*i**2 - 1956*i + 336 = 0.
-1, 1/6, 2, 4, 14
Find d, given that 3*d**3/2 - 718*d**2 + 7498*d - 4680 = 0.
2/3, 10, 468
Suppose -t**3/11 + 32*t**2/11 + 2485*t/11 - 2516/11 = 0. Calculate t.
-37, 1, 68
Determine h so that 4*h**3/3 + 376*h**2 + 1852*h + 4432/3 = 0.
-277, -4, -1
Factor -r**2/5 - 169*r/5 - 7128/5.
-(r + 81)*(r + 88)/5
Solve -f**3 - 922*f**2 + 7440*f = 0 for f.
-930, 0, 8
Solve 24*u**5 + 2836*u**4 - 5264*u**3 + 1924*u**2 + 480*u = 0.
-120, -1/6, 0, 1
Factor -h**4/4 + 5297*h**3/2 - 28047613*h**2/4 - 14031753*h - 7017201.
-(h - 5298)**2*(h + 1)**2/4
Factor -3*d**2/5 + 612*d/5 + 3435.
-3*(d - 229)*(d + 25)/5
Determine s, given that -2*s**5/7 + 1936*s**4/7 - 69112*s**3 + 7410656*s**2/7 - 5476992*s + 9321984 = 0.
4, 6, 476
Suppose -5*a**2 + 420*a - 8775 = 0. Calculate a.
39, 45
Suppose 3*z**3 + 4431*z**2 + 4422*z - 8856 = 0. Calculate z.
-1476, -2, 1
Find z such that 3*z**3/5 - 14673*z**2/5 - 5871*z - 14679/5 = 0.
-1, 4893
Find a such that -4*a**3 + 39252*a**2 + 117808*a - 157056 = 0.
-4, 1, 9816
Factor -5*a**3 - 123630*a**2 - 763724085*a + 6117707560.
-5*(a - 8)*(a + 12367)**2
Let 18*s**5 - 303*s**4 - 35151*s**3 - 142002*s**2 - 157332*s - 22440 = 0. Calculate s.
-34, -2, -1/6, 55
Find f, given that -3*f**3 - 1209*f**2 + 13788*f + 52164 = 0.
-414, -3, 14
Solve 5*o**2 + 2592780*o + 336125406420 = 0 for o.
-259278
Suppose 9*q**3/4 + 55002*q**2 + 73335*q/4 = 0. What is q?
-24445, -1/3, 0
Suppose 4*v**3/5 - 35528*v**2/5 + 15763764*v + 315843984/5 = 0. What is v?
-4, 4443
Solve 3*l**2/4 - 369*l/4 + 1545 = 0 for l.
20, 103
Find i such that i**2 + 4476*i + 8948 = 0.
-4474, -2
Find f such that -8*f**3 - 31908*f**2 - 47848*f - 15948 = 0.
-3987, -1, -1/2
Determine c, given that 5*c**5 - 45*c**4 + 95*c**3 + 45*c**2 - 100*c = 0.
-1, 0, 1, 4, 5
Factor l**5 - 41962*l**4 - 671558*l**3 - 3777820*l**2 - 8395475*l - 5247250.
(l - 41978)*(l + 1)*(l + 5)**3
Factor 5*t**2 + 664620*t - 2658560.
5*(t - 4)*(t + 132928)
Let 4*p**4 + 2360*p**3 + 315392*p**2 - 9865856*p = 0. What is p?
-308, 0, 26
Determine d so that 2*d**2/19 + 36452*d/19 + 166093538/19 = 0.
-9113
Factor -2*m**3 - 8664*m**2 - 103752*m - 311040.
-2*(m + 6)**2*(m + 4320)
Solve -j**3/8 - 123*j**2/8 - 234*j - 1855/2 = 0.
-106, -10, -7
Suppose 4*k**4 - 156*k**3 + 812*k**2 - 612*k - 1584 = 0. Calculate k.
-1, 3, 4, 33
Let -5*f**5 + 107*f**4 - 513*f**3 - 835*f**2 + 2806*f - 1560 = 0. Calculate f.
-13/5, 1, 10, 12
Suppose 5*j**4 - 380*j**3 + 4410*j**2 + 9980*j + 5185 = 0. Calculate j.
-1, 17, 61
Find a, given that -10*a**5/3 + 942*a**4 - 162478*a**3/3 - 22758*a**2 + 162488*a/3 + 21816 = 0.
-1, -2/5, 1, 81, 202
Factor 4*q**4 - 1597512*q**3 + 159502786884*q**2.
4*q**2*(q - 199689)**2
What is k in 2*k**5/13 - 284*k**4/13 + 10080*k**3/13 + 284*k**2/13 - 10082*k/13 = 0?
-1, 0, 1, 71
What is y in y**2 + 772302*y + 149112594801 = 0?
-386151
Find x such that 12*x**3 - 2332*x**2 + 7608*x + 6112 = 0.
-2/3, 4, 191
Factor 5*x**2 + 2978230*x + 443492696645.
5*(x + 297823)**2
Let 2*m**3/13 - 110100*m**2/13 + 440376*m/13 - 440368/13 = 0. Calculate m.
2, 55046
Factor a**2 - 9905*a - 19814.
(a - 9907)*(a + 2)
Solve -s**2/3 - 683324*s/3 - 683323/3 = 0 for s.
-683323, -1
Factor -3*t**2/5 - 273*t/5 - 1764/5.
-3*(t + 7)*(t + 84)/5
What is c in c**3/5 + 7*c**2/5 + 11*c/5 + 1 = 0?
-5, -1
Determine f so that -46*f**3/3 - 5608*f**2/3 - 15934*f/3 + 476 = 0.
-119, -3, 2/23
Suppose -n**2/2 + 8967*n - 17933/2 = 0. Calculate n.
1, 17933
Factor 5*m**2 - 427330*m + 9130546445.
5*(m - 42733)**2
Factor -u**2/2 - 298*u - 5283/2.
-(u + 9)*(u + 587)/2
Let j**5 + 7624*j**4 + 19715490*j**3 + 18127272800*j**2 + 2158869795125*j = 0. What is j?
-2495, -139, 0
Factor n**4/5 + 148*n**3/5 - 183*n**2 + 1382*n/5 - 616/5.
(n - 4)*(n - 1)**2*(n + 154)/5
Factor l**5/4 + 23*l**4/2 + 186*l**3 + 2233*l**2/2 - 121*l/4 - 15972.
(l - 3)*(l + 11)**3*(l + 16)/4
Factor 2*n**2/9 + 3332*n/3 + 1387778.
2*(n + 2499)**2/9
Find x, given that -4*x**4 + 428*x**3 - 6296*x**2 + 15952*x - 10080 = 0.
1, 2, 14, 90
Factor -3*x**3 - 189*x**2 + 14184*x - 145860.
-3*(x - 34)*(x - 13)*(x + 110)
Factor -3*v**2 - 226140*v - 4261608300.
-3*(v + 37690)**2
Factor 4*b**2 + 49276*b - 49280.
4*(b - 1)*(b + 12320)
What is f in 3*f**3 + 5532*f**2 - 145353*f + 948090 = 0?
-1870, 13
Let -3*z**2/4 - 18753*z/4 - 130977/2 = 0. Calculate z.
-6237, -14
Solve -5*w**4 + 20060*w**3 + 382385*w**2 + 2256400*w + 3869760 = 0.
-8, -3, 4031
Solve 5488*h**4 + 5500*h**3 - 5476*h**2 - 5500*h - 12 = 0 for h.
-1, -3/1372, 1
Solve 44*n**4 + 948*n**3 - 5532*n**2 + 8044*n - 3504 = 0 for n.
-292/11, 1, 3
Determine t, given that -4*t**2 - 1444*t - 97560 = 0.
-271, -90
Suppose -2*i**4/13 - 786*i**3/13 + 3166*i**2/13 - 3966*i/13 + 1588/13 = 0. Calculate i.
-397, 1, 2
Suppose 10*g**3 + 34674*g**2 + 153776832*g/5 + 6016861192/5 = 0. Calculate g.
-8566/5, -41
Determine k, given that k**3/8 - 12741*k**2/8 - 25485*k/8 - 12743/8 = 0.
-1, 12743
Solve 2*u**3/7 - 2420*u**2/7 + 101518*u - 61386352/7 = 0 for u.
193, 824
Suppose -q**2/9 - 773*q/9 + 3330 = 0. What is q?
-810, 37
Suppose k**3 + 738*k**2 - 168361*k + 167622 = 0. What is k?
-921, 1, 182
Suppose 2*r**5/7 - 1710*r**4/7 + 3412*r**3/7 + 4*r**2/7 - 3414*r/7 + 1706/7 = 0. Calculate r.
-1, 1, 853
Factor s**3 - 1994*s**2 + 11933*s - 9940.
(s - 1988)*(s - 5)*(s - 1)
Solve -24*p**3/13 - 7154*p**2/13 - 7714*p/13 + 2376/13 = 0 for p.
-297, -4/3, 1/4
Factor -2*i**2 + 1678*i + 251940.
-2*(i - 969)*(i + 130)
Find i, given that -2*i**2/9 + 25180*i/9 - 25162 = 0.
9, 12581
Let -u**2 + 2710*u - 98901 = 0. Calculate u.
37, 2673
Determine r, given that -197*r**3/3 + 3506*r**2/3 - 5079*r - 1080 = 0.
-40/197, 9
Factor c**3/10 + 77821*c**2/10 + 302828747*c/2 + 4541730843/10.
(c + 3)*(c + 38909)**2/10
Determine o so that -724*o**3 - 4520*o**2 + 4012*o + 1232 = 0.
-7, -44/181, 1
Factor 80*o**2 - 1760760*o + 9688361805.
5*(4*o - 44019)**2
Suppose -980*l**2 + 6835*l - 9675 = 0. What is l?
387/196, 5
Let 458*q**2 + 42598*q/3 + 124/3 = 0. What is q?
-31, -2/687
Factor 3*g**2 + 263622*g + 5791379907.
3*(g + 43937)**2
Factor 2*g**2 + 498*g + 23920.
2*(g + 65)*(g + 184)
Factor 4*h**3 + 384*h**2.
4*h**2*(h + 96)
Factor 5*v**2 + 947505*v + 947500.
5*(v + 1)*(v + 189500)
Factor 5*r**4 + 4315*r**3 - 20*r**2 - 17260*r.
5*r*(r - 2)*(r + 2)*(r + 863)
Find d, given that -2*d**5 + 66*d**4 + 6*d**3 - 202*d**2 + 132*d = 0.
-2, 0, 1, 33
Factor m**3 - 553*m**2 + 9486*m + 77040.
(m - 535)*(m - 24)*(m + 6)
Suppose 4*s**5 - 2004*s**4 - 195984*s**3 - 5035520*s**2 - 26342400*s = 0. Calculate s.
-40, -7, 0, 588
Determine x, given that 2*x**5/3 + 48*x**4 + 2864*x**3/3 + 3264*x**2 + 9248*x/3 = 0.
-34, -2, 0
Find f, given that -f**4 - 172*f**3 + 12*f**2 + 2080*f + 2752 = 0.
-172, -2, 4
Let -2*c**2/11 - 10020*c/11 + 10022/11 = 0. What is c?
-5011, 1
Factor 4*s**2 + 800*s + 8316.
4*(s + 11)*(s + 189)
Suppose 20*j**3/3 + 3305*j**2/3 + 800*j/3 - 1375 = 0. What is j?
-165, -5/4, 1
What is b in -50*b**5/9 + 1806*b**4 + 15050*b**3/9 - 17558*b**2/9 - 5000*b/3 + 1304/9 = 0?
-1, 2/25, 1, 326
Factor 3*d**3 - 45*d**2 - 318*d + 4320.
3*(d - 16)*(d - 9)*(d + 10)
Factor -c**4 - 1480*c**3 - 5908*c**2 - 5904*c.
-c*(c + 2)**2*(c + 1476)
Suppose -12*l**4 + 6848*l**3 + 72004*l**2 + 23240*l = 0. Calculate l.
-10, -1/3, 0, 581
Factor 15*f**2/2 - 18573*f + 7428.
3*(f - 2476)*(5*f - 2)/2
Find p such that 2*p**3 + 2582*p**2 + 829454*p - 2511654 = 0.
-647, 3
Find l, given that -l**5/6 - 49*l**4 + 1096*l**3 - 6133*l**2/3 + 1995*l/2 = 0.
-315, 0, 1, 19
Factor 3*t**3/4 + 3021*t**2/4 + 87693*t/2 - 90720.
3*(t - 2)*(t + 64)*(t + 945)/4
Factor g**3/3 - 167*g**2/3 + 7471*g/3 - 33635.
(g - 105)*(g - 31)**2/3
Find k such that -25474188*k**3 - 1843105*k**2/4 + 1409*k - 1 = 0.
-1/48, 2/1457
Determine z so that -10*z**3 - 9276*z**2 - 2149248*z + 861184 = 0.
-464, 2/5
Factor 3*a**3 - 114*a**2 - 5781*a + 221892.
3*(a - 41)**2*(a + 44)
Determine x, given that -15*x**3/4 - 1411*x**2/4 - 929*x/4 + 467/4 = 0.
-467/5, -1, 1/3
Find l, given that l**4/2 - 43*l**3 + 570*l**2 - 2725*l + 8875/2 = 0.
5, 71
Factor 2*s**3/5 - 2154*s**2 + 14558166*s/5 - 1