3*f**2 + 11624550*f - 27930000 = 0. What is f?
-175, -8, 2, 19
Factor j**3/2 - 10*j**2 - 125*j/2.
j*(j - 25)*(j + 5)/2
Solve -9*i**5 - 678*i**4 + 464*i**3 + 608*i**2 = 0.
-76, -2/3, 0, 4/3
Find x, given that -2*x**4 + 1078*x**3 + 7622*x**2 + 12002*x + 5460 = 0.
-5, -1, 546
Factor -3*p**5 + 369*p**4 - 726*p**3.
-3*p**3*(p - 121)*(p - 2)
Factor 2*y**2 - 212*y - 23664.
2*(y - 174)*(y + 68)
Factor -3*q**3 + 1401972*q**2 + 2803953*q + 1401978.
-3*(q - 467326)*(q + 1)**2
Factor -z**2/10 + 81*z/2 - 3500.
-(z - 280)*(z - 125)/10
Find r, given that -12*r**5/5 + 927*r**4/5 - 18471*r**3/5 + 21888*r**2/5 - 4332*r/5 = 0.
0, 1/4, 1, 38
Factor -2*y**2/9 + 35750*y/9 + 31792.
-2*(y - 17883)*(y + 8)/9
Suppose -4*r**3 + 2984*r**2 - 234436*r + 4881360 = 0. Calculate r.
43, 660
Factor -y**3/3 + 8*y**2 - y - 460/3.
-(y - 23)*(y - 5)*(y + 4)/3
Determine u, given that u**2 - 25030*u/3 + 52801 = 0.
19/3, 8337
Factor 5*f**3 - 8185*f**2 - 8200*f + 16380.
5*(f - 1638)*(f - 1)*(f + 2)
Factor q**3 + 248*q**2.
q**2*(q + 248)
Find o such that -o**5/5 + 3931*o**4 + 58971*o**3/5 + 58973*o**2/5 + 19658*o/5 = 0.
-1, 0, 19658
Determine s so that 5*s**4 - 25280*s**3 + 31979170*s**2 - 63781480*s - 95785935 = 0.
-1, 3, 2527
Factor -25*v**3 - 1745*v**2 - 21630*v - 16200.
-5*(v + 15)*(v + 54)*(5*v + 4)
Factor 2*x**2/7 + 34726*x/7 - 939060/7.
2*(x - 27)*(x + 17390)/7
What is u in -50*u**5 + 98*u**4 + 154*u**3 - 194*u**2 - 208*u - 8 = 0?
-1, -1/25, 2
Determine t so that -3*t**2 + 6741*t - 6738 = 0.
1, 2246
Suppose j**4/3 + 7*j**3 - 5591*j**2/3 - 7*j + 5590/3 = 0. Calculate j.
-86, -1, 1, 65
Factor -3*x**2 + 1670*x + 6728.
-(x + 4)*(3*x - 1682)
Factor k**2/10 + 23*k/5 - 228.
(k - 30)*(k + 76)/10
Factor -s**4/5 - 433*s**3/5 - 34216*s**2/5.
-s**2*(s + 104)*(s + 329)/5
Determine c so that -80*c**4 + 15*c**3 = 0.
0, 3/16
Factor -u**3/4 + 1517*u**2/2 - 21195*u/4 + 9081/2.
-(u - 3027)*(u - 6)*(u - 1)/4
Find n, given that -5*n**4/3 + 136*n**3/3 + 129*n**2 - 2674*n/3 - 2920/3 = 0.
-5, -1, 4, 146/5
Factor 4*o**4 - 52*o**3 - 2436*o**2 - 20972*o - 54880.
4*(o - 35)*(o + 7)**2*(o + 8)
Factor -2*k**2/3 - 552508*k/3 - 38158136258/3.
-2*(k + 138127)**2/3
Let -34*k**4 + 1920*k**3 - 2766*k**2 + 880*k = 0. Calculate k.
0, 8/17, 1, 55
Let -4*r**3/3 - 156388*r**2/3 - 312764*r/3 - 156380/3 = 0. Calculate r.
-39095, -1
Factor -d**2 + 17169*d + 240562.
-(d - 17183)*(d + 14)
Factor 2*b**3 - 5692*b**2 + 11378*b - 5688.
2*(b - 2844)*(b - 1)**2
Determine b so that 4*b**3 + 184*b**2 + 2416*b + 8736 = 0.
-26, -14, -6
Determine r, given that 29*r**4/3 - 671*r**3/3 - 301*r**2/3 + 2893*r + 2760 = 0.
-3, -1, 120/29, 23
Factor -14*b**2/5 - 2934*b/5 - 5812/5.
-2*(b + 2)*(7*b + 1453)/5
Factor -3*f**2 + 96810*f - 781014675.
-3*(f - 16135)**2
Solve 3*h**2/8 - 128073*h/2 + 5467564443/2 = 0 for h.
85382
Factor -y**3 - 35*y**2 + 1817*y + 14091.
-(y - 33)*(y + 7)*(y + 61)
Solve 37100498*m**4/5 - 1484088832*m**3/5 + 14842955712*m**2/5 - 5513216*m + 2560 = 0.
4/4307, 20
Let -278*i**4 + 560*i**3 + 11946*i**2 + 10948*i - 160 = 0. Calculate i.
-5, -1, 2/139, 8
Solve -d**4/4 + 173*d**3/4 - 7329*d**2/4 + 38767*d/4 - 15805/2 = 0.
1, 5, 58, 109
Factor 5*c**2 - 9990*c + 4990005.
5*(c - 999)**2
Let -45*n**4 - 41660*n**3 + 92735*n**2 - 60310*n + 9280 = 0. Calculate n.
-928, 2/9, 1
Factor g**3 - 6766*g**2 + 128173*g + 134940.
(g - 6747)*(g - 20)*(g + 1)
What is d in d**4/5 - 1603*d**3/5 - 2254*d**2 = 0?
-7, 0, 1610
Factor -2*o**2/11 - 4908*o - 33121638.
-2*(o + 13497)**2/11
What is h in h**5/2 + 947*h**4/4 + 2218*h**3 + 26023*h**2/4 + 4515*h - 4176 = 0?
-464, -4, -3, 1/2
Let -b**4 + 24172*b**3 - 146071396*b**2 = 0. Calculate b.
0, 12086
What is l in 2*l**3 - 16100*l**2 - 64424*l - 64432 = 0?
-2, 8054
What is w in w**5/4 + 45*w**4/4 + 327*w**3/4 - 793*w**2/4 + 105*w = 0?
-35, -12, 0, 1
Suppose 8*s**5/15 + 2418*s**4/5 + 5402*s**3/15 - 10276*s**2/5 - 21736*s/15 + 2416/5 = 0. Calculate s.
-906, -2, -1, 1/4, 2
Suppose 8*b**5 + 1164*b**4 - 6944*b**3 - 3526648*b**2 + 80218872*b - 178443380 = 0. Calculate b.
-103, 5/2, 29
Find t, given that -23*t**2 - 201482*t - 17520 = 0.
-8760, -2/23
Solve 4*w**3/7 + 1524*w**2/7 - 7776*w/7 - 3088 = 0 for w.
-386, -2, 7
Solve -2*w**2/7 + 39472*w/7 - 194754848/7 = 0 for w.
9868
Suppose -4*y**3 - 508*y**2 - 6396*y + 464508 = 0. What is y?
-99, -51, 23
Let -15*s**2 + 8480*s - 11280 = 0. Calculate s.
4/3, 564
Factor -4*r**4/5 + 17368*r**3/5 - 25194912*r**2/5 + 12293961856*r/5 - 24087491072.
-4*(r - 1444)**3*(r - 10)/5
Factor -2*j**2/3 - 250*j - 68068/3.
-2*(j + 154)*(j + 221)/3
Suppose -g**2/5 + 6396*g/5 - 10227204/5 = 0. Calculate g.
3198
Factor 67*x**3/7 + 21040*x**2/7 + 628*x/7.
x*(x + 314)*(67*x + 2)/7
Factor -4*r**2 + 5257024*r - 1727268833536.
-4*(r - 657128)**2
Let 361*z**5/2 + 189943*z**4/2 + 203978*z**3 - 63330*z**2 - 235800*z = 0. Calculate z.
-524, -30/19, 0, 1
Determine j, given that -84*j**4 + 5205*j**3 - 4770*j**2 - 10425*j - 366 = 0.
-1, -1/28, 2, 61
Solve o**5/6 + 191*o**4/6 - 11*o**3/3 - 2089*o**2/3 + 1543*o/2 + 2865/2 = 0.
-191, -5, -1, 3
Factor -l**3/4 + l**2/2 + 1533*l/4 - 6615/2.
-(l - 35)*(l - 9)*(l + 42)/4
Solve 10*x**2 + 114642*x + 22928 = 0 for x.
-11464, -1/5
Factor 2*w**3/7 + 1774*w**2/7 - 28968*w/7 - 9288.
2*(w - 18)*(w + 2)*(w + 903)/7
Factor 2*u**3/13 + 90*u**2/13 + 1200*u/13 + 5000/13.
2*(u + 10)**2*(u + 25)/13
Factor 2*j**5 - 310*j**4 + 11856*j**3 + 12168*j**2.
2*j**2*(j - 78)**2*(j + 1)
Suppose -5*f**2 - 755*f - 7050 = 0. What is f?
-141, -10
Factor q**2 + 9399*q.
q*(q + 9399)
Find r, given that 2606*r**2/7 + 7842*r/7 + 72/7 = 0.
-3, -12/1303
What is q in -9*q**5 + 75*q**4 + 3105*q**3 + 15165*q**2 + 23604*q + 9900 = 0?
-11, -3, -2, -2/3, 25
Factor k**2/4 + 54265*k/4 + 162759.
(k + 12)*(k + 54253)/4
Factor w**3/5 - 393*w**2/5 - 9009*w/5 - 10043.
(w - 415)*(w + 11)**2/5
Solve 3*l**4/5 + 157554*l**3/5 - 787821*l**2/5 + 252108*l - 630276/5 = 0 for l.
-52523, 1, 2
Suppose 4*c**2 - 684928*c + 29320397824 = 0. What is c?
85616
Factor 76*o**3 - 377*o**2 - 471*o - 18.
(o - 6)*(o + 1)*(76*o + 3)
Determine g, given that -3*g**2/7 - 1329*g/7 - 12324 = 0.
-364, -79
What is k in k**3 + 12*k**2 - 49*k - 60 = 0?
-15, -1, 4
Factor -w**3/2 - 3801*w**2/2.
-w**2*(w + 3801)/2
Find s such that -s**5/5 + 37*s**4/5 + 107*s**3 + 499*s**2 + 4926*s/5 + 3528/5 = 0.
-4, -3, -2, 49
Factor -262205*d**2 - 696160*d - 462080.
-5*(229*d + 304)**2
Factor -2*f**4 + 198*f**3 - 1252*f**2 - 3312*f.
-2*f*(f - 92)*(f - 9)*(f + 2)
Determine u so that -2*u**5 + 100*u**4 - 624*u**3 - 16416*u**2 - 30240*u + 129600 = 0.
-6, 2, 30
What is r in -3*r**3 + 2520*r**2 + 5052*r = 0?
-2, 0, 842
Determine w, given that -2*w**5/7 + 8*w**4/7 + 6*w**3/7 - 44*w**2/7 + 8*w/7 + 48/7 = 0.
-2, -1, 2, 3
Factor 5*y**3/7 - 2934*y**2/7 - 1773*y.
y*(y - 591)*(5*y + 21)/7
What is g in g**5/4 + 13*g**4 - 291*g**3 - 1312*g**2 - 1360*g = 0?
-68, -2, 0, 20
Let -l**2/4 + 263*l/2 + 530 = 0. What is l?
-4, 530
Suppose -3*k**4 - 382788*k**3 - 12210937194*k**2 - 24420726036*k - 12210171627 = 0. What is k?
-63797, -1
Factor 5*l**2 + 6460*l - 6465.
5*(l - 1)*(l + 1293)
Factor -p**3 + 5415*p**2 - 10827*p + 5413.
-(p - 5413)*(p - 1)**2
Factor 3*v**2/4 + 3489*v/4.
3*v*(v + 1163)/4
Factor -3*z**2/5 - 2101296*z/5 - 367953739968/5.
-3*(z + 350216)**2/5
Suppose -470*t**2 + 23024*t/7 + 6 = 0. Calculate t.
-3/1645, 7
Factor -5*x**2 - 7345*x - 1058670.
-5*(x + 162)*(x + 1307)
Find f such that -4*f**3/5 - 139648*f**2/5 - 558544*f/5 - 558528/5 = 0.
-34908, -2
Find f such that f**2/4 - 624095*f/2 + 389494569025/4 = 0.
624095
Determine u, given that -u**5/2 - 411*u**4/4 - 1099*u**3 + 12749*u**2/4 - 2664*u + 679 = 0.
-194, -14, 1/2, 1
Determine z so that z**5/2 + 9*z**4 - 13*z**3 - 60*z**2 + 241*z/2 - 57 = 0.
-19, -3, 1, 2
Find k, given that 4*k**3 + 996*k**2 - 116928*k = 0.
-336, 0, 87
Solve 2*z**2/11 - 8962*z/11 + 187320/11 = 0 for z.
21, 4460
Solve 4*s**2/5 - 158772*s/5 + 158768/5 = 0 for s.
1, 39692
Factor 2*q**3/5 + 2624*q**2/5 - 13182*q/5 - 15804/5.
2*(q - 6)*(q + 1)*(q + 1317)/5
Suppose -198*m**4 - 1780*m**3 + 216*m**2 + 1780*m - 18 = 0. Calculate m.
-9, -1, 1/99, 1
Factor -2*a**3 + 36996*a**2 - 171420480*a + 3073593600.
-2*(a - 9240)**2*(a - 18)
Let 242*i**3 - 97680*i**2 + 10416744*i - 111353184 = 0. Calculate i.
12, 2154/11
Let -9*n**3 + 14802*n**2 - 3938931*n + 2619