 24*n**2 + 1568*n + 2048.
-2*(n - 4)*(n + 2)**2*(n + 64)
Factor 505*m**2 + 1705*m + 570.
5*(m + 3)*(101*m + 38)
Determine j so that 2*j**3/3 + 214*j**2/3 + 322*j - 98394 = 0.
-69, 31
Factor o**2/2 + 8875*o + 78765625/2.
(o + 8875)**2/2
Suppose 3*b**5/8 + 141*b**4/2 + 3291*b**3/8 + 1365*b**2/4 = 0. What is b?
-182, -5, -1, 0
Let 51120*s**4 + 208*s**3 - 572*s**2 + 4*s = 0. What is s?
-1/9, 0, 1/142, 1/10
Factor -w**2/10 - 20831*w/5 + 41664/5.
-(w - 2)*(w + 41664)/10
What is j in 2*j**3/5 + 2020*j**2 + 40280*j + 201200 = 0?
-5030, -10
Let -q**4 - 6*q**3 + 80*q**2 - 138*q + 65 = 0. Calculate q.
-13, 1, 5
Factor r**3 + 68*r**2 + 67*r.
r*(r + 1)*(r + 67)
Let -4*l**5 - 9192*l**4 - 5262372*l**3 + 21196816*l**2 = 0. Calculate l.
-1151, 0, 4
Find z such that -3*z**4/7 - 6*z**3 - 171*z**2/7 - 216*z/7 = 0.
-8, -3, 0
Suppose 18*h**4/7 + 8122*h**3/7 - 98204*h**2/7 - 22224*h/7 = 0. Calculate h.
-463, -2/9, 0, 12
Suppose -t**2 + 203374*t - 10340245969 = 0. Calculate t.
101687
Factor -2*x**3/7 + 94*x**2/7 + 1632*x/7 - 12744/7.
-2*(x - 59)*(x - 6)*(x + 18)/7
What is f in f**3 + 587*f**2 - 10286*f - 10872 = 0?
-604, -1, 18
Factor -17*i**3/4 + 7885*i**2/4 - 228404*i - 40368.
-(i - 232)**2*(17*i + 3)/4
Factor 16*t**4/9 + 40*t**3 - 188*t**2/3 + 286*t/9 - 16/3.
2*(t + 24)*(2*t - 1)**3/9
Find h, given that 2*h**5/3 + 932*h**4/3 + 109498*h**3/3 + 212512*h**2/3 - 107648*h = 0.
-232, -3, 0, 1
Suppose -6*n**5/7 + 18056*n**4/7 + 229408*n**3/7 + 113952*n**2 + 435168*n/7 = 0. Calculate n.
-6, -2/3, 0, 3022
Let 452*r**3/3 + 297*r**2 - 17*r - 50/3 = 0. Calculate r.
-2, -25/113, 1/4
Factor -5*j**2 - 320*j - 3315.
-5*(j + 13)*(j + 51)
Factor 8*t**2 + 197668*t - 593076.
4*(t - 3)*(2*t + 49423)
Find n such that -2*n**3/17 - 1232*n**2/17 - 10962*n + 570204/17 = 0.
-337, -282, 3
Factor 2*r**2/21 + 18160*r/21.
2*r*(r + 9080)/21
Determine l so that 4*l**4/5 + 216*l**3/5 + 320*l**2 - 46872*l/5 - 49972 = 0.
-31, -5, 13
Factor -q**3 - 7046*q**2 + 14099*q + 21144.
-(q - 3)*(q + 1)*(q + 7048)
Find p, given that 2*p**5/3 - 184*p**4/3 + 278*p**3/3 + 34976*p**2/3 + 216800*p/3 + 374528/3 = 0.
-7, -4, 19, 88
Solve 2*y**2/11 - 40364*y + 2240222182 = 0 for y.
111001
Solve -4205*b**4 + 8120*b**3 + 13480*b**2 - 16800*b - 18000 = 0.
-30/29, 2
Let 2*o**3 - 4*o**2 - 40*o - 48 = 0. Calculate o.
-2, 6
Find c, given that -2*c**2/9 - 2007548*c/9 - 503781121538/9 = 0.
-501887
Factor -5*q**2 + 11180*q - 22340.
-5*(q - 2234)*(q - 2)
Factor 2*o**2 - 3486*o + 146200.
2*(o - 1700)*(o - 43)
Solve 3*o**5 - 15919*o**4 + 21136442*o**3 - 49242336*o**2 + 14066208*o = 0 for o.
0, 1/3, 2, 2652
What is f in -f**5/3 - 165497*f**4/3 - 6847727984*f**3/3 - 34235826520*f**2/3 - 18258622032*f - 9129200688 = 0?
-82746, -2, -1
What is w in 2*w**2/3 - 696*w + 20280 = 0?
30, 1014
Find q, given that -2576*q**3/5 + 25756*q**2/5 - 23144*q/5 - 36/5 = 0.
-1/644, 1, 9
Factor 2*o**2 - 470*o + 27528.
2*(o - 124)*(o - 111)
Suppose -l**5/3 + 8*l**4/3 - 5*l**3/3 - 50*l**2/3 = 0. Calculate l.
-2, 0, 5
Factor 11*y**2 + 11793*y/2 + 268.
(y + 536)*(22*y + 1)/2
Factor 5*a**2 + 7105*a - 122230.
5*(a - 17)*(a + 1438)
Find m such that 3*m**5 - 48*m**4 - 60*m**3 + 150*m**2 + 57*m - 102 = 0.
-2, -1, 1, 17
Let -4*t**5 + 227*t**4 - 3387*t**3 + 5359*t**2 - 1445*t - 750 = 0. What is t?
-1/4, 1, 25, 30
Let 9*c**5 - 1029*c**4 = 0. What is c?
0, 343/3
Factor -f**2/3 - 58*f - 7448/3.
-(f + 76)*(f + 98)/3
Find v, given that -3*v**4 + 18*v**3 + 948*v**2 - 10728*v + 30240 = 0.
-20, 6, 14
Factor -2*p**4/5 + 874*p**3/5 - 142086*p**2/5 + 10167598*p/5 - 53925088.
-2*(p - 119)**3*(p - 80)/5
Let -55*r**2 - 15850*r - 2880 = 0. Calculate r.
-288, -2/11
Let f**2/6 + 106687*f/2 = 0. Calculate f.
-320061, 0
Factor 3*q**4 + 411*q**3 - 417*q**2 - 411*q + 414.
3*(q - 1)**2*(q + 1)*(q + 138)
Find a such that 9*a**2/8 - 735*a/8 + 363/4 = 0.
1, 242/3
Solve 3*n**2/8 - 9*n - 5115/8 = 0 for n.
-31, 55
Factor -3*a**2 - 6237*a - 456684.
-3*(a + 76)*(a + 2003)
What is d in -d**4 + 37*d**3 - 32*d**2 - 2380*d = 0?
-7, 0, 10, 34
Factor f**5/4 - 553*f**4/4 - 15390*f**3.
f**3*(f - 648)*(f + 95)/4
Let 2*v**2 - 920*v + 6342 = 0. Calculate v.
7, 453
Solve 2*h**3/15 - 1376*h**2/3 + 13754*h/15 - 2292/5 = 0 for h.
1, 3438
Factor 2*m**2/3 + 26935*m/6 - 3367/3.
(m + 6734)*(4*m - 1)/6
Determine p, given that -3*p**5/8 + 597*p**4/4 + 51*p**3/8 - 10095*p**2/4 - 10731*p/2 - 2985 = 0.
-2, -1, 5, 398
Factor -c**3 - 1181*c**2 + 24020*c.
-c*(c - 20)*(c + 1201)
Factor 65*t**2/3 - 7130*t/3 - 103675/3.
5*(t + 13)*(13*t - 1595)/3
Find i such that 5*i**2 + 20170*i + 60465 = 0.
-4031, -3
Find f such that -8*f**2/3 + 11484*f + 17232 = 0.
-3/2, 4308
Factor 6*j**2/11 - 2952*j/11 - 27054/11.
6*(j - 501)*(j + 9)/11
Let v**5/4 - 497*v**4/2 - 10041*v**3/4 + 497*v**2/2 + 2510*v = 0. Calculate v.
-10, -1, 0, 1, 1004
Solve -20*y**5 + 1355*y**4 + 21510*y**3 + 110015*y**2 + 226900*y + 163500 = 0 for y.
-5, -2, 327/4
Solve -2*f**5 + 2042*f**4 - 611672*f**3 + 43852160*f**2 + 45697408*f - 88939936 = 0.
-2, 1, 106, 458
Factor -5*g**3 + 45227*g**2 - 18087*g - 27135.
-(g - 9045)*(g - 1)*(5*g + 3)
Factor h**3/4 + 1517*h**2/4 + 759795*h/4 + 125366175/4.
(h + 407)*(h + 555)**2/4
Solve 3*b**5/4 - 189*b**4 + 5187*b**3/4 - 5157*b**2/2 + 1470*b = 0 for b.
0, 1, 2, 4, 245
Solve 3391*b**2/2 + 40694*b + 48 = 0 for b.
-24, -4/3391
Find k, given that -3*k**2 - 15981*k - 31950 = 0.
-5325, -2
Factor -5*f**2 + 1212640*f - 73524788480.
-5*(f - 121264)**2
Factor -2*a**2/17 - 3514*a/17.
-2*a*(a + 1757)/17
Factor -w**3/2 + 409*w**2 - 815*w/2 - 817.
-(w - 817)*(w - 2)*(w + 1)/2
Factor 2*w**2/13 - 38822*w/13 - 116484/13.
2*(w - 19414)*(w + 3)/13
Factor -f**3 - 18700*f**2 + 149648*f - 299328.
-(f - 4)**2*(f + 18708)
Let -3*h**5 + 135*h**4 - 693*h**3 - 15531*h**2 + 32616*h - 16524 = 0. What is h?
-9, 1, 18, 34
Let 5*k**2 + 5790*k = 0. What is k?
-1158, 0
Factor -4*a**3 - 4108*a**2 - 1092672*a - 19305216.
-4*(a + 19)*(a + 504)**2
Factor 4*p**3 + 422864*p**2 + 11175872656*p.
4*p*(p + 52858)**2
Find s such that -2*s**3 - 659484*s**2 - 54364893282*s = 0.
-164871, 0
Factor -4*p**2 - 7292*p + 7296.
-4*(p - 1)*(p + 1824)
What is k in -4*k**3 - 716*k**2 - 9856*k + 2257920 = 0?
-112, 45
Factor -4*c**3 - 49152*c**2 + 147492*c.
-4*c*(c - 3)*(c + 12291)
What is w in -w**4/4 + 227*w**3/2 - 55453*w**2/4 + 222687*w - 962361 = 0?
9, 218
Let 4*p**4/7 - 72*p**3/7 + 44*p**2 = 0. What is p?
0, 7, 11
Find w such that -12*w**4 - 424288*w**3 - 3750705908*w**2 - 5000328368*w - 1250046736 = 0.
-17678, -1, -1/3
Suppose 2*n**3/3 - 80*n**2 - 2144*n/3 + 4096 = 0. Calculate n.
-12, 4, 128
Factor -r**2 - 226*r - 888.
-(r + 4)*(r + 222)
Find j, given that -5*j**2 + 2665*j - 53760 = 0.
21, 512
Determine t so that 28*t**4/5 + 4796*t**3/5 + 23340*t**2 + 493412*t/5 + 26312 = 0.
-143, -23, -5, -2/7
What is o in 5*o**2 + 1298835*o = 0?
-259767, 0
Factor 14*q**3 + 3804*q**2 - 16544*q + 4416.
2*(q - 4)*(q + 276)*(7*q - 2)
Factor 3*f**3 - 159243*f**2 - 637008*f - 637020.
3*(f - 53085)*(f + 2)**2
What is l in -18*l**5/5 - 10*l**4 + 66*l**3/5 + 114*l**2/5 - 136*l/5 + 24/5 = 0?
-3, -2, 2/9, 1
Factor s**2 + 13*s - 1148.
(s - 28)*(s + 41)
Solve r**4/2 - 7*r**3/2 - 919*r**2/2 + 7*r/2 + 459 = 0 for r.
-27, -1, 1, 34
Factor 2*z**2/13 - 3172*z + 41234/13.
2*(z - 20617)*(z - 1)/13
Let -v**2 - 311*v + 1260 = 0. What is v?
-315, 4
Determine l, given that -20*l**4 - 73295*l**3 + 91685*l**2 + 128300*l - 36660 = 0.
-3666, -1, 1/4, 2
Factor 5*m**2 - 2255*m - 23050.
5*(m - 461)*(m + 10)
Find w such that 4*w**5/7 - 3808*w**4 + 22828*w**3 - 26536*w**2/7 - 639104*w/7 - 426112/7 = 0.
-1, 4, 6658
Solve 2*k**4/7 - 14850*k**3/7 + 27602408*k**2/7 - 19671480*k + 15730400 = 0.
1, 4, 3710
Factor -2*x**2/3 + 6220*x + 580382/3.
-2*(x - 9361)*(x + 31)/3
Solve -93*h**3/5 - 1432*h**2 - 94783*h/5 + 204 = 0 for h.
-60, -17, 1/93
Suppose 25*n**2 + 83*n/3 + 8/3 = 0. What is n?
-1, -8/75
Factor 4*k**3/3 - 284*k**2/3 + 3292*k/3 + 4180.
4*(k - 55)*(k - 19)*(k + 3)/3
Factor 2*g**3 - 188*g**2 + 550*g - 364.
2*(g - 91)*(g - 2)*(g - 1)
Solve 2*v**2/17 - 106*v/17 + 1320/17 = 0 for v.
20, 33
Let 2*d**3/3 + 22570*d**2/3 + 63844550*d/3 + 317532250 = 0. What is d?
-5635, -15
Suppose 155*b**2/2 - 160889*b/2 - 519 = 0. What is b?
-1/155, 1038
Factor -g**3 - 21118*g**2 - 42233*g - 21116.
-(g + 1)**2*(g + 21116)
Factor -648*z**4 - 13714