 given that 6*n**4/11 + 448590*n**3/11 + 897156*n**2/11 = 0.
-74763, -2, 0
Factor -4*u**2 - 69608*u - 302829604.
-4*(u + 8701)**2
Factor 2*y**2/5 - 6718*y/5.
2*y*(y - 3359)/5
Solve -p**4 + 197*p**3 + 203*p**2 - 993*p + 594 = 0 for p.
-3, 1, 198
Find l such that 2*l**4/3 - 32*l**3 - 6466*l**2/3 + 18608*l - 114208/3 = 0.
-43, 4, 83
Suppose -4*l**4 - 1524*l**3 - 139104*l**2 + 1277296*l + 21678336 = 0. Calculate l.
-194, -9, 16
Factor -2*p**2 - 17364*p - 501874.
-2*(p + 29)*(p + 8653)
Determine i, given that 2*i**2/9 - 656*i/3 + 654 = 0.
3, 981
Factor -a**3 - 5859*a**2 - 8596599*a - 42836645.
-(a + 5)*(a + 2927)**2
Factor m**2 - 1421024*m + 504827302144.
(m - 710512)**2
Suppose j**2/6 + 15653*j + 735049227/2 = 0. What is j?
-46959
Determine u, given that -2*u**3 - 2520*u**2 + 25368*u - 40640 = 0.
-1270, 2, 8
Factor -j**2/5 + 2022*j/5 - 346437/5.
-(j - 1833)*(j - 189)/5
Factor 5*s**3 + 9960*s**2 - 110225*s - 120180.
5*(s - 12)*(s + 1)*(s + 2003)
Factor -3*j**3 + 5706*j**2 - 34107*j - 39816.
-3*(j - 1896)*(j - 7)*(j + 1)
Let 4*d**3/9 - 140*d**2/3 + 225*d + 60750 = 0. What is d?
-30, 135/2
Factor 34196295675*k**2/8 - 320295*k/2 + 3/2.
3*(106765*k - 2)**2/8
Suppose -5*u**3 + 5640*u**2 - 133200*u + 794880 = 0. What is u?
12, 1104
Factor -5*c**2 + 15305*c - 15300.
-5*(c - 3060)*(c - 1)
Solve 2*q**2/5 - 8424*q/5 + 33664/5 = 0 for q.
4, 4208
Factor 536*n**2 + 573*n + 37.
(n + 1)*(536*n + 37)
Let -3*n**5 - 1313*n**4 - 23253*n**3 + 88213*n**2 - 82080*n + 18436 = 0. Calculate n.
-419, -22, 1/3, 1, 2
Suppose 5*g**2 + 2900*g + 222495 = 0. Calculate g.
-489, -91
Factor 120*n**5 + 381*n**4 + 423*n**3 + 183*n**2 + 21*n.
3*n*(n + 1)**3*(40*n + 7)
Let 2*z**2/11 - 344118*z/11 - 688244/11 = 0. What is z?
-2, 172061
Factor -3*g**3/4 - 3039*g**2 - 12326175*g/4 - 12301875/2.
-3*(g + 2)*(g + 2025)**2/4
Solve 2*l**4 + 1952*l**3 + 482100*l**2 + 2832400*l + 2352250 = 0 for l.
-485, -5, -1
Factor -2*u**3/3 + 1162*u**2/3 - 4624*u/3 + 4616/3.
-2*(u - 577)*(u - 2)**2/3
Factor 3*o**2 - 888642*o + 2665899.
3*(o - 296211)*(o - 3)
Let -3*l**3 + 132948*l**2 = 0. What is l?
0, 44316
Suppose 40*g**2/13 + 2282*g/13 + 114/13 = 0. What is g?
-57, -1/20
What is u in 516*u**3/5 - 196*u**2 + 412*u/5 + 52/5 = 0?
-13/129, 1
Determine i so that -2*i**3/7 - 22*i**2 + 996*i/7 = 0.
-83, 0, 6
Factor -2*q**2/13 - 154*q/13 + 3196/13.
-2*(q - 17)*(q + 94)/13
Factor -3*k**3 - 19035*k**2 + 114291*k - 171477.
-3*(k - 3)**2*(k + 6351)
Let -3*g**2/2 - 964860*g - 155159136600 = 0. What is g?
-321620
Suppose 6*g**4 - 153*g**3 + 1236*g**2 - 2907*g - 1782 = 0. What is g?
-1/2, 6, 9, 11
Factor 4*f**4 + 14368*f**3 + 12859252*f**2 - 77673624*f.
4*f*(f - 6)*(f + 1799)**2
Factor -12*r**2 - 26001*r + 6501.
-3*(r + 2167)*(4*r - 1)
Determine q, given that q**2/4 + 689*q + 12321 = 0.
-2738, -18
Suppose 4*b**5 - 84904*b**4 + 84888*b**3 + 254704*b**2 - 84892*b - 169800 = 0. Calculate b.
-1, 1, 2, 21225
Solve 128*s**5/5 + 106336*s**4/5 - 90838*s**3 + 42044*s**2/5 + 245562*s/5 + 12024 = 0 for s.
-835, -3/8, 1, 4
Determine x, given that x**3/8 - 37*x**2/2 + 703*x/2 - 630 = 0.
2, 20, 126
Solve -w**3 - 40966*w**2 - 419594252*w - 839024648 = 0.
-20482, -2
Let 4*u**4 + 2988*u**3 + 69876*u**2 + 337012*u - 977496 = 0. What is u?
-723, -13, 2
Determine p, given that -p**2/2 + 842*p + 39261/2 = 0.
-23, 1707
Solve -u**3/3 - 65*u**2/3 + 67556*u/3 + 22540 = 0.
-294, -1, 230
Factor -h**4 + 320*h**3 + 6039*h**2 + 15210*h.
-h*(h - 338)*(h + 3)*(h + 15)
Suppose 4*z**2 + 34792*z - 104412 = 0. What is z?
-8701, 3
Determine i, given that 4*i**3 + 304*i**2 + 1444*i + 1704 = 0.
-71, -3, -2
Factor -2*n**4 - 6*n**3 + 1346*n**2 + 1350*n.
-2*n*(n - 25)*(n + 1)*(n + 27)
Suppose 2*j**5/3 + 2764*j**4 - 94578*j**3 + 2116304*j**2/3 + 1705656*j + 902880 = 0. What is j?
-4180, -1, 18
Determine t so that -79707*t**5/7 - 2552580*t**4/7 - 20467596*t**3/7 - 501120*t**2/7 - 3072*t/7 = 0.
-16, -2/163, 0
Factor x**2/5 + 28370*x + 1006071125.
(x + 70925)**2/5
Factor -18*o**4 - 44*o**3 + 910*o**2 + 3400*o.
-2*o*(o + 5)**2*(9*o - 68)
Suppose -a**2 - 186210*a - 8668541025 = 0. What is a?
-93105
Factor -3*q**3/2 - 519312*q**2 - 2077239*q/2 - 519309.
-3*(q + 1)**2*(q + 346206)/2
What is f in -3*f**3/8 + 411*f**2/8 - 5697*f/8 - 86751/8 = 0?
-9, 27, 119
Determine l, given that l**3/2 + 123*l**2/2 - 318*l + 256 = 0.
-128, 1, 4
Solve 6250*o**5/3 + 12801500*o**4/3 + 15865870*o**3/3 + 16581316*o**2/15 + 1260968*o/15 + 32752/15 = 0 for o.
-2047, -1, -2/25
Factor -2*r**2 + 17928*r - 107496.
-2*(r - 8958)*(r - 6)
Let -k**3 - 565*k**2 - 5004*k = 0. What is k?
-556, -9, 0
Factor -z**3/7 - 239549*z**2/7 - 14346050624*z/7 - 14345811076/7.
-(z + 1)*(z + 119774)**2/7
Solve n**5/2 - 329*n**4 + 978*n**3 + 2959*n**2 - 15077*n/2 + 3930 = 0 for n.
-3, 1, 4, 655
Factor u**2/3 - 78192*u + 4585491648.
(u - 117288)**2/3
Determine k, given that -17298*k**3/11 + 48360*k**2/11 + 66454*k/11 - 198916/11 = 0.
-2, 223/93
Let -2*l**2/11 + 326*l/11 - 10004/11 = 0. What is l?
41, 122
Factor 618348*j**3 + 1320232*j**2 + 509680*j/3 + 16928/3.
4*(j + 2)*(681*j + 46)**2/3
Factor 64*x**4 - 608*x**3 + 228*x**2 + 5292*x - 7776.
4*(x - 8)*(x + 3)*(4*x - 9)**2
Find w such that -2*w**5/5 - 198*w**4/5 + 486*w**3/5 + 8198*w**2/5 - 8484*w/5 = 0.
-101, -6, 0, 1, 7
Let -2*p**4/7 + 4608*p**3/7 - 2893214*p**2/7 + 268576992*p/7 + 271474816/7 = 0. Calculate p.
-1, 113, 1096
Factor -2*y**4/7 - 506*y**3/7 + 15504*y**2/7 + 1738624*y + 779791360/7.
-2*(y - 155)*(y + 136)**3/7
What is l in 15*l**3 - 535*l**2 - 200*l + 720 = 0?
-4/3, 1, 36
Solve -33*g**5 - 6195*g**4 + 141282*g**3 - 696372*g**2 + 1290984*g - 826560 = 0.
-2296/11, 2, 15
Suppose 2*r**5/5 + 826*r**4/5 + 1144*r**3 + 14656*r**2/5 + 16256*r/5 + 6496/5 = 0. What is r?
-406, -2, -1
Determine n, given that 4*n**3 - 8396*n**2 = 0.
0, 2099
Solve 2791*h**2/2 - h/2 = 0 for h.
0, 1/2791
Determine a, given that 2*a**3 - 112*a**2 + 990*a = 0.
0, 11, 45
Determine n, given that -2*n**5 + 64846*n**4 + 259404*n**3 + 389116*n**2 + 259414*n + 64854 = 0.
-1, 32427
Let t**3/2 - 12048*t**2 + 145130205*t/2 + 145178401 = 0. Calculate t.
-2, 12049
Solve -12222*s**2 + 3471*s + 6 = 0.
-1/582, 2/7
Suppose 45*l**5 + 1983*l**4 + 3894*l**3 - 540*l**2 - 1512*l = 0. What is l?
-42, -2, -2/3, 0, 3/5
Suppose g**3/5 + 12*g**2/5 - 523*g/5 + 102 = 0. Calculate g.
-30, 1, 17
Suppose -15*t**3/2 - 4129*t**2/2 - 18917*t/2 + 6765/2 = 0. What is t?
-1353/5, -5, 1/3
Find o, given that 4*o**4 - 664*o**3 - 66364*o**2 + 67024*o = 0.
-71, 0, 1, 236
Factor -5*k**4 - 360*k**3 - 600*k**2 + 6880*k - 8400.
-5*(k - 2)**2*(k + 6)*(k + 70)
Solve -d**4 - 102*d**3 + 211*d**2 + 312*d = 0 for d.
-104, -1, 0, 3
Factor g**2 - 139*g - 1176.
(g - 147)*(g + 8)
Determine w, given that -2*w**2/7 + 3378*w/7 - 16840/7 = 0.
5, 1684
Factor -89*o**2 - 4348*o + 637.
-(o + 49)*(89*o - 13)
Factor -2*n**3 - 76116*n**2 - 724357890*n - 2896213832.
-2*(n + 4)*(n + 19027)**2
Solve -w**5 + 61*w**4 + 343*w**3 - 865*w**2 + 462*w = 0.
-7, 0, 1, 66
Find w such that 4*w**4 - 5552*w**3 + 49644*w**2 = 0.
0, 9, 1379
Determine c so that -1092242*c**2 - 9045360*c - 18727200 = 0.
-3060/739
What is y in 2*y**5/7 - 40694*y**4/7 - 366354*y**3/7 - 1099170*y**2/7 - 157032*y = 0?
-3, 0, 20356
Let -2*j**2/5 - 24*j/5 + 896/5 = 0. Calculate j.
-28, 16
Suppose -r**4/3 + 226*r**3 + 4*r**2/3 - 904*r = 0. What is r?
-2, 0, 2, 678
Factor t**3/3 + 7504*t**2/3 + 15004*t/3.
t*(t + 2)*(t + 7502)/3
Factor -s**2/6 - 368*s + 15750.
-(s - 42)*(s + 2250)/6
Factor 4*k**3 + 35068*k**2 + 76807660*k - 230738700.
4*(k - 3)*(k + 4385)**2
Determine a, given that 2*a**4/19 - 1460*a**3/19 - 20834*a**2/19 + 1460*a/19 + 20832/19 = 0.
-14, -1, 1, 744
Suppose 2*g**4/5 + 146*g**3/5 - 1314*g**2/5 - 1458*g/5 = 0. What is g?
-81, -1, 0, 9
Let -2*p**3/11 - 76*p**2/11 + 158*p/11 - 80/11 = 0. Calculate p.
-40, 1
Factor -4*m**3 + 124*m**2 + 1088*m - 30720.
-4*(m - 32)*(m - 15)*(m + 16)
Solve 5*z**5 + 630*z**4 + 23230*z**3 + 302480*z**2 + 362805*z - 12689150 = 0.
-74, -19, 5
Factor 4*l**4 - 148*l**3 + 124*l**2 + 708*l + 432.
4*(l - 36)*(l - 3)*(l + 1)**2
Factor r**2 - 157*r + 5922.
(r - 94)*(r - 63)
Find y, given that -2*y**2 - 248*y - 488 = 0.
-122, -2
What is v in 5*v**5 + 5*v**4 - 130*v**3 - 40*v**2 + 800*v - 640 = 0?
-4, 1, 2, 4
Factor -v**4/3 - 32*v**3 - 2429*v**2/3 - 2150*v.
-v*(v + 3)