403492*x**2 - 30275336*x + 36171408 = 0.
-3, 182/71
Determine g so that -5*g**4 - 2675*g**3 + 5370*g**2 = 0.
-537, 0, 2
Suppose 76*v**2 - 2108*v + 13872 = 0. What is v?
204/19, 17
Factor 2*f**3/5 + 6592*f**2/5 - 646656*f/5 + 15630336/5.
2*(f - 48)**2*(f + 3392)/5
Find z such that -z**5/5 + 106*z**4/5 + 2293*z**3/5 - 7606*z**2/5 + 5208*z/5 = 0.
-21, 0, 1, 2, 124
Solve 2*u**2/17 - 978*u/17 + 97300/17 = 0 for u.
139, 350
Solve -z**5/5 + 343*z**4/5 + 2809*z**3/5 - 343*z**2/5 - 2808*z/5 = 0 for z.
-8, -1, 0, 1, 351
Factor -3*d**2/7 - 6372*d/7 - 87567.
-3*(d + 101)*(d + 2023)/7
Factor 3*n**4 - 3072*n**3 + 780264*n**2 + 3158016*n + 3170352.
3*(n - 514)**2*(n + 2)**2
Find i such that i**3/4 - 2237*i**2/4 + 28938*i = 0.
0, 53, 2184
Factor -2*h**3/3 + 56*h**2 - 216*h - 46656.
-2*(h - 54)**2*(h + 24)/3
Suppose -3*f**4 - 255*f**3 + 2187*f**2 - 4185*f = 0. Calculate f.
-93, 0, 3, 5
What is d in -d**3 + 712*d**2 + 1436*d - 5712 = 0?
-4, 2, 714
Solve s**5/5 - 4519*s**4/5 - 9041*s**3/5 - 4521*s**2/5 = 0 for s.
-1, 0, 4521
Solve -2*v**5/3 + 800*v**4 - 11894*v**3/3 - 22320*v**2 + 47608*v/3 + 76480 = 0 for v.
-3, -2, 2, 8, 1195
Find i, given that i**4/5 - 404*i**3 - 18282*i**2/5 + 8524*i - 22319/5 = 0.
-11, 1, 2029
Factor l**4/4 - 5515*l**3 + 60885575*l**2/2 - 304014375*l + 3038765625/4.
(l - 11025)**2*(l - 5)**2/4
Factor p**3/2 + 41*p**2 - 546*p + 1692.
(p - 6)**2*(p + 94)/2
Solve j**2/2 + 162*j - 990 = 0 for j.
-330, 6
Determine d, given that -d**3/3 + 440*d**2/3 - 17500*d + 294000 = 0.
20, 210
Solve 4*p**3/3 + 168*p**2 + 5420*p/3 - 1976 = 0.
-114, -13, 1
Let 2*n**4/5 + 69572*n**3/5 + 604963322*n**2/5 - 1210135368*n/5 + 605102472/5 = 0. What is n?
-17394, 1
Let 2*x**2/9 - 21032*x/9 + 55293128/9 = 0. Calculate x.
5258
Factor -5*q**2 - 353005*q + 353010.
-5*(q - 1)*(q + 70602)
Determine t so that -18*t**3/7 + 48*t**2 + 346*t + 1460/7 = 0.
-5, -2/3, 73/3
Factor 2*h**4/17 + 176*h**3/17 + 3496*h**2/17 - 16928*h/17.
2*h*(h - 4)*(h + 46)**2/17
Determine i, given that -2*i**2 + 2838*i - 11320 = 0.
4, 1415
Let 5*g**5 - 237865*g**4 - 951510*g**3 - 1427290*g**2 - 951535*g - 237885 = 0. What is g?
-1, 47577
Let 5*o**3 - 88815*o**2 + 88810*o = 0. What is o?
0, 1, 17762
Determine j, given that j**5/10 - 17*j**4/10 - 21*j**3/2 + 1397*j**2/10 - 1208*j/5 + 114 = 0.
-10, 1, 6, 19
Factor u**3/2 - 29*u**2/2 - 1435*u.
u*(u - 70)*(u + 41)/2
Let 27*p**5 + 38376*p**4 - 102462*p**3 + 93960*p**2 - 34173*p + 4272 = 0. Calculate p.
-1424, 1/3, 1
Solve -9*w**4 + 2217*w**3 - 2943*w**2 + 735*w = 0.
0, 1/3, 1, 245
Let 3*g**4 - 3618*g**3 + 1094427*g**2 - 2163588*g - 3261636 = 0. What is g?
-1, 3, 602
Factor -2*i**3 + 5430*i**2 + 8*i - 21720.
-2*(i - 2715)*(i - 2)*(i + 2)
Factor -n**4 + 110*n**3 - 1737*n**2 + 7560*n - 9936.
-(n - 92)*(n - 12)*(n - 3)**2
Factor -m**2 - 903*m - 65840.
-(m + 80)*(m + 823)
Find u such that -3*u**3 - 1122*u**2 - 109251*u - 803736 = 0.
-183, -8
Solve -5*b**4 + 1875*b**3 - 131125*b**2 - 1875*b + 131130 = 0.
-1, 1, 93, 282
Solve 2*r**5/5 + 218*r**4/5 + 1642*r**3/5 + 2566*r**2/5 - 6204*r/5 - 14544/5 = 0 for r.
-101, -4, -3, 2
Determine f, given that -5*f**4 - 10220*f**3 - 71335*f**2 - 81400*f + 162960 = 0.
-2037, -4, 1
Solve t**5 + 385*t**4/3 + 40*t**3 - 340*t**2 + 512*t/3 = 0 for t.
-128, -2, 0, 2/3, 1
Factor y**3/6 - 147*y**2/2 + 10792*y - 1582874/3.
(y - 157)*(y - 142)**2/6
Determine f, given that -2*f**4/5 - 140074*f**3/5 - 28014*f**2 + 140074*f/5 + 140072/5 = 0.
-70036, -1, 1
Determine l so that 3*l**3/4 - 6*l**2 - 285*l/4 - 225/2 = 0.
-5, -2, 15
Let -4*u**4/7 - 1150*u**3/7 - 77568*u**2/7 + 740000*u/7 - 350464/7 = 0. What is u?
-148, 1/2, 8
Suppose 3*j**5 - 147*j**4 + 1752*j**3 - 7908*j**2 + 12240*j = 0. Calculate j.
0, 4, 5, 6, 34
Determine u, given that -u**5/3 - 28*u**4/3 - 233*u**3/3 - 518*u**2/3 + 316*u + 840 = 0.
-15, -7, -6, -2, 2
Factor -c**3 + 2135*c**2 + 25753*c + 23617.
-(c - 2147)*(c + 1)*(c + 11)
Factor w**2 + 549*w + 8010.
(w + 15)*(w + 534)
Factor 5*q**3/4 + 260*q**2 + 4095*q/4 + 765.
5*(q + 1)*(q + 3)*(q + 204)/4
Determine u so that -7*u**4/2 - 2654*u**3 - 38105*u**2/2 + 73628*u + 22530 = 0.
-751, -10, -2/7, 3
Find v, given that -4*v**4/3 + 868*v**3/3 - 4112*v**2/3 - 26992*v/3 - 10176 = 0.
-2, 9, 212
Determine c so that -6*c**3/13 - 21848*c**2/13 - 7282*c/13 = 0.
-3641, -1/3, 0
Determine l so that 2*l**3/9 - 1712*l**2 + 10270*l/3 - 15404/9 = 0.
1, 7702
Factor -132*y**3 - 790*y**2 - 1044*y + 16.
-2*(y + 2)*(y + 4)*(66*y - 1)
Find w, given that 36*w**4 - 760*w**3 + 2132*w**2 - 2128*w + 720 = 0.
1, 10/9, 18
Suppose -m**3/6 - 3559*m**2/3 + 7121*m/6 + 2373 = 0. Calculate m.
-7119, -1, 2
Factor 4*c**2/5 + 1364*c/5 + 1344.
4*(c + 5)*(c + 336)/5
Factor -25*j**4 - 6690*j**3 - 4008*j**2 - 4006*j/5 - 267/5.
-(j + 267)*(5*j + 1)**3/5
Suppose 2*j**2/5 + 372*j/5 - 3104/5 = 0. What is j?
-194, 8
Factor -x**3/3 + 13250*x**2/3 - 43811017*x/3 - 175880644.
-(x - 6631)**2*(x + 12)/3
What is c in 3*c**2 + 177516*c + 2625994188 = 0?
-29586
Let 2*z**4/17 - 74*z**3/17 - 154*z**2/17 - 78*z/17 = 0. Calculate z.
-1, 0, 39
Factor p**2/3 - 302*p/3 - 87096.
(p - 684)*(p + 382)/3
Let 2*o**2 + 39384*o + 193887432 = 0. What is o?
-9846
Suppose 63*o**3/4 - 325*o**2/4 + 25*o/2 = 0. Calculate o.
0, 10/63, 5
Factor 2*t**2/5 - 21318*t/5 + 85112.
2*(t - 10639)*(t - 20)/5
Find z such that 2*z**2 - 302324*z + 302322 = 0.
1, 151161
Determine s, given that s**4 - 91*s**3 - 10455*s**2 - 20633*s - 10270 = 0.
-65, -1, 158
Suppose -2*w**5/7 + 316*w**4/7 + 1952*w**3/7 + 2636*w**2/7 - 1950*w/7 - 2952/7 = 0. What is w?
-3, -1, 1, 164
Find m, given that 2*m**2/17 + 96*m/17 + 430/17 = 0.
-43, -5
Factor -35*a**2 - 152680*a - 43620.
-5*(a + 4362)*(7*a + 2)
What is d in -d**4/3 + 799*d**3/3 + 1601*d**2/3 + 267*d = 0?
-1, 0, 801
Factor -a**4 - 16830*a**3 - 70626853*a**2 + 1559905380*a - 8590694596.
-(a - 11)**2*(a + 8426)**2
Factor -m**2 + 1246*m + 47471.
-(m - 1283)*(m + 37)
Find w such that 18*w**4 - 13674*w**3 + 1338008*w**2 + 1802264*w + 602784 = 0.
-2/3, 117, 644
Solve -i**3/3 + 359*i**2 - 13852*i + 78812/3 = 0 for i.
2, 38, 1037
Solve -2*x**4 + 170*x**3 - 472*x**2 - 1688*x + 3936 = 0.
-3, 2, 4, 82
Suppose -s**2 - 64*s + 1785 = 0. Calculate s.
-85, 21
Solve -2*t**5/13 - 32*t**4/13 - 6*t**3/13 + 1152*t**2/13 + 216*t = 0 for t.
-13, -6, -3, 0, 6
Determine y, given that y**3/3 + 62*y**2 - 34681*y/3 + 77770 = 0.
-303, 7, 110
Factor 2*d**3 - 6832*d**2 + 5820840*d + 23392800.
2*(d - 1710)**2*(d + 4)
Solve 3*w**3 + 7542*w**2 - 30207*w + 22662 = 0 for w.
-2518, 1, 3
Factor 5*h**3 + 121855*h**2 - 1462800*h + 4388940.
5*(h - 6)**2*(h + 24383)
Factor -2*x**2/11 + 378*x/11 - 376/11.
-2*(x - 188)*(x - 1)/11
Let 7*z**3/11 + 2984*z**2/11 + 78860*z/11 + 22288/11 = 0. Calculate z.
-398, -28, -2/7
Determine a so that -a**5 - 15*a**4 + 13*a**3 + 435*a**2 - 936*a = 0.
-13, -8, 0, 3
Factor 4*d**3 - 1596*d**2 + 18720*d - 55728.
4*(d - 387)*(d - 6)**2
Factor -g**2/8 - 43*g/4 + 472.
-(g - 32)*(g + 118)/8
Suppose -3*p**3 + 3015*p**2 + 131922*p = 0. What is p?
-42, 0, 1047
Factor 4196*t**3/3 + 8*t**2.
4*t**2*(1049*t + 6)/3
Factor u**5/2 - 29125*u**4/2 + 212022715*u**3/2 + 636242905*u**2/2 + 318150580*u + 106055048.
(u - 14564)**2*(u + 1)**3/2
Factor -20*t**2 + 286876*t - 229488.
-4*(t - 14343)*(5*t - 4)
What is v in 315*v**4/2 - 22881*v**3/2 + 7206*v**2 + 2178*v - 1296 = 0?
-3/7, 2/5, 2/3, 72
Determine f so that -f**2/3 - 256*f/3 - 16384/3 = 0.
-128
Solve -3*g**2/4 - 1527*g/4 + 471105/2 = 0.
-870, 361
Determine d, given that -5*d**3 + 5400*d**2 = 0.
0, 1080
Factor j**3/2 + 18354*j**2 - 293760*j + 1175168.
(j - 8)**2*(j + 36724)/2
Suppose -5*p**2 + 10210*p - 10205 = 0. What is p?
1, 2041
Factor 3*r**2 - 1092*r - 4416.
3*(r - 368)*(r + 4)
Solve d**2/2 - 30819*d + 949810761/2 = 0.
30819
Find u such that 1575*u**4 - 6105*u**3/2 - 4925*u**2 - 565*u/2 + 15 = 0.
-1, -2/21, 1/30, 3
Factor 2*w**2/11 - 1526*w/11 + 189384/11.
2*(w - 607)*(w - 156)/11
Suppose n**4/5 + 119*n**3/5 + 233*n**2/5 - 119*n/5 - 234/5 = 0. What is n?
-117, -2, -1, 1
Let -y**2 + 22906*y - 343365 = 0. Calculate y.
15, 22891
Factor d**3/2 + 16*d**2 - 1635*d/2 + 6975.
(d - 15)**2*(d + 62)/2
Factor -2*s**3 - 4538*s**2 - 2571910*s + 2576450.
-2*(s - 1)*(s + 1135)**2
Suppose -2*b**4/11 - 564*b**3 = 0. What is b?
-3102, 0
Suppose 2*j**2/17 + 1664*j/17 = 0. What is