1174421
Determine w, given that -5*w**3 + 58839440*w**2 + 58839445*w = 0.
-1, 0, 11767889
Factor 4*l**2 + 75156*l - 9990288.
4*(l - 132)*(l + 18921)
Factor s**2/4 - 1497023*s/2 - 1497024.
(s - 2994048)*(s + 2)/4
Factor 5556*v**4 - 4517020*v**3 + 1224108084*v**2 - 110576588532*v - 159220088.
4*(v - 271)**3*(1389*v + 2)
Solve 4*n**4 - 2036*n**3 - 24868*n**2 - 72940*n = 0.
-7, -5, 0, 521
Factor -f**2/4 - 17331*f - 207936.
-(f + 12)*(f + 69312)/4
Factor -3*t**3/2 - 102945*t**2/2 - 152623029*t/2 - 57854105127/2.
-3*(t + 767)**2*(t + 32781)/2
Suppose -v**3/4 - 228310*v**2 - 208542914125*v/4 - 9380732878125/2 = 0. What is v?
-456575, -90
Factor -w**4/2 - 2559*w**3/2 + 5124*w**2 - 5126*w.
-w*(w - 2)**2*(w + 2563)/2
Suppose -5*o**3 - 54365*o**2 + 11968805*o - 81116035 = 0. What is o?
-11089, 7, 209
Let 2*q**2/9 + 1036*q + 8757664/9 = 0. Calculate q.
-3358, -1304
Determine j so that 20034*j**3/5 + 2467042*j**2/5 + 351764*j/5 - 1968/5 = 0.
-123, -4/27, 2/371
What is k in -27840257316*k**4 - 1224998018544*k**3 - 13475859199504*k**2 - 12921455360*k - 3097600 = 0?
-22, -40/83427
Suppose -3*m**3 + 56469*m**2 - 1917345*m + 16290063 = 0. What is m?
17, 18789
Factor u**3 - 45155*u**2 + 508091352*u + 37331688708.
(u - 22614)**2*(u + 73)
Solve 4*r**4/7 + 34204*r**3/7 + 341484*r**2/7 - 1332396*r/7 = 0 for r.
-8541, -13, 0, 3
Let -g**4/4 - 54907*g**3/4 + 123561*g**2 = 0. What is g?
-54916, 0, 9
Let -2*n**2 - 1166*n + 1477168 = 0. What is n?
-1199, 616
Solve 5*n**3 + 155275*n**2 - 30577960*n + 1500673020 = 0.
-31251, 98
What is y in -3*y**2 + 83763*y + 73366050 = 0?
-850, 28771
Factor -r**4/4 + 5609*r**3/2 - 112105*r**2/4 + 70050*r.
-r*(r - 11208)*(r - 5)**2/4
Factor 2*j**2/5 - 206416*j/5 - 35769826/5.
2*(j - 103381)*(j + 173)/5
Find q such that 126*q**4 + 640884*q**3 + 805806512*q**2 - 23303239680*q + 6592273408 = 0.
-7672/3, 2/7, 28
Suppose -45*w**5 + 244977*w**4 - 334379928*w**3 + 2641129476*w**2 - 5141455776*w - 354601152 = 0. What is w?
-1/15, 4, 2718
Factor 2*z**3/5 + 2220698*z**2/5 - 368677202*z/5 + 3060135134.
2*(z - 83)**2*(z + 1110515)/5
Solve 3*d**4 - 2166*d**3 - 20233689*d**2 = 0 for d.
-2261, 0, 2983
Let -4*l**2 + 87128780*l = 0. What is l?
0, 21782195
Solve -3*w**2 - 29110758*w - 70619685944547 = 0.
-4851793
Factor 2*u**2 + 5602*u + 2209700.
2*(u + 475)*(u + 2326)
Factor -5*z**2/2 - 9999860*z - 19999715/2.
-5*(z + 1)*(z + 3999943)/2
Let 5*u**5 + 228110*u**4 + 2606264600*u**3 + 103876591890*u**2 - 106483084605*u = 0. What is u?
-22791, -41, 0, 1
Let -x**3 + 64387*x**2 - 25252051*x + 2483504337 = 0. Calculate x.
197, 63993
Suppose 4*d**3/5 + 2032*d**2 - 2534588*d/5 + 5028504/5 = 0. What is d?
-2769, 2, 227
Find t such that t**5 - 358*t**4 - 56645*t**3 - 56286*t**2 = 0.
-118, -1, 0, 477
Determine c, given that c**3 - 5514*c**2 + 5457*c + 308728 = 0.
-7, 8, 5513
Suppose o**2/2 + 1175184*o + 2350366 = 0. Calculate o.
-2350366, -2
What is n in -45*n**2 + 192020*n + 74062240 = 0?
-356, 41608/9
Let -5*o**4 + 14330*o**3 + 1641060*o**2 + 33257350*o + 31630625 = 0. What is o?
-85, -25, -1, 2977
Solve -44*m**3 + 112192*m**2 - 6149520*m + 11850624 = 0 for m.
2, 54, 27432/11
Find z, given that 4*z**2 + 7102000*z - 28408064 = 0.
-1775504, 4
Factor -3*h**2/2 + 2268*h + 327267/2.
-3*(h - 1581)*(h + 69)/2
Solve s**3/4 + 86683*s**2/2 + 8666425*s/4 + 27080625 = 0.
-173316, -25
Suppose -4*b**3 + 3972800*b**2 - 7945572*b - 11918376 = 0. What is b?
-1, 3, 993198
Factor 5*x**2/3 - 3195*x + 484900/3.
5*(x - 1865)*(x - 52)/3
Find p, given that 100*p**4 + 32640*p**3 + 3426364*p**2 + 118211808*p + 114817984 = 0.
-151, -436/5, -1
Factor -3*g**2/7 + 17726808*g/7 - 26186643489072/7.
-3*(g - 2954468)**2/7
Factor 55*a**3 + 18816060*a**2 + 1609293137475*a + 292598130250.
5*(a + 171055)**2*(11*a + 2)
What is v in 4*v**3 + 7512*v**2 + 3534384*v + 7038752 = 0?
-938, -2
Determine l so that 3*l**3 - 363732*l**2 + 12364287*l - 105089070 = 0.
17, 121210
Find l such that 3*l**3 + 1165041*l**2 - 19806678*l - 44273496 = 0.
-388364, -2, 19
Solve 5*i**4 + 174035*i**3 + 16142010*i**2 = 0.
-34714, -93, 0
Find b such that -b**5 + 1248*b**4 - 257408*b**3 - 5775910*b**2 - 41299503*b - 97381130 = 0.
-7, 290, 979
Factor 9*m**4 - 331140*m**3 + 3049465188*m**2 - 64904639232*m.
3*m*(m - 18386)**2*(3*m - 64)
Let z**4 + 4055*z**3 + 196342*z**2 + 192288*z = 0. What is z?
-4006, -48, -1, 0
Let 17103*y**2 - 222324*y - 195 = 0. What is y?
-5/5701, 13
Determine c so that 26155*c**2 - 680160*c + 3380 = 0.
26/5231, 26
Factor h**2/2 + 34545*h/2 + 759022.
(h + 44)*(h + 34501)/2
Factor -24782*n**2 - 173486*n/7 - 12/7.
-2*(n + 1)*(86737*n + 6)/7
What is c in 3*c**3/11 - 11954*c**2/11 + 964837*c + 3539064/11 = 0?
-1/3, 1336, 2649
Solve -o**3/3 + 6077165*o**2/3 + 12154333*o/3 + 6077167/3 = 0 for o.
-1, 6077167
Suppose -4*s**5 + 46208*s**4 - 117686292*s**3 - 91059523416*s**2 - 15436916008704*s + 31239010862208 = 0. Calculate s.
-324, 2, 6099
Factor -2*a**2 - 411460*a - 1234362.
-2*(a + 3)*(a + 205727)
Find f such that 4*f**4 - 13011528*f**3 + 52046060*f**2 - 39034536*f = 0.
0, 1, 3, 3252878
Factor -2*n**3/9 + 8053648*n**2/9 + 894850*n.
-2*n*(n - 4026825)*(n + 1)/9
Solve -4*f**4 - 2768*f**3 - 61544*f**2 + 2768*f + 61548 = 0 for f.
-669, -23, -1, 1
Suppose -2*q**2/3 - 71761568*q/3 - 643715330227328/3 = 0. Calculate q.
-17940392
Suppose 9*f**4/2 - 123*f**3/2 - 1491*f**2/2 - 3453*f/2 - 495 = 0. Calculate f.
-5, -3, -1/3, 22
Determine o so that -o**3/3 - 7364*o**2/3 + 81107*o/3 - 44250 = 0.
-7375, 2, 9
Find h such that 4*h**3/5 + 45404*h**2/5 + 589696*h/5 + 272112 = 0.
-11338, -10, -3
Factor r**2 - 1617*r + 601460.
(r - 1037)*(r - 580)
What is i in 198*i**3 + 79994*i**2 + 239002*i + 2406 = 0?
-401, -3, -1/99
Solve -18126993653088*g**4 - 60295345775888*g**3 + 426253546584*g**2 - 1003509324*g + 787320 = 0 for g.
-10/3, 27/11474
What is u in 2*u**2/7 - 9395872*u/7 + 18791736/7 = 0?
2, 4697934
Determine u so that 170*u**5/13 - 2158*u**4 + 81750*u**3/13 + 18854*u**2 + 131888*u/13 - 3240/13 = 0.
-1, 2/85, 5, 162
Find p, given that -33*p**4 + 4794*p**3 + 2044695*p**2 - 337158000*p + 91800000 = 0.
-255, 3/11, 200
What is c in 4*c**4 + 195900*c**3 - 1763464*c**2 - 1959360*c = 0?
-48984, -1, 0, 10
Factor -2*v**4 - 339248960*v**3 + 1017746892*v**2 - 1017746896*v + 339248966.
-2*(v - 1)**3*(v + 169624483)
Factor -369*y**2 + 34004*y/9 + 52640/9.
-(41*y + 56)*(81*y - 940)/9
Factor -6498*i**3 + 1091662*i**2 - 45849552*i - 14112.
-2*(i - 84)**2*(3249*i + 1)
Let p**4/3 + 2780*p**3/3 + 1805908*p**2/3 - 58468960*p + 1327035072 = 0. What is p?
-1434, 44
Find m such that m**2/5 + 617234*m/5 - 1234472/5 = 0.
-617236, 2
What is y in -y**4/2 - 2184*y**3 - 2229614*y**2 + 344258736*y - 679581536 = 0?
-2252, 2, 134
Determine c so that -4*c**2 + 1219420*c - 2438824 = 0.
2, 304853
Factor -i**4 - 21608*i**3/5 - 23598169*i**2/5 - 544947718*i/5.
-i*(i + 2149)**2*(5*i + 118)/5
Determine n so that -4*n**5/3 - 7040*n**4/3 + 9898060*n**3/3 - 59084440*n**2/3 - 22996512*n = 0.
-2684, -1, 0, 7, 918
Suppose -2*i**2/15 - 3042*i - 3999952/15 = 0. Calculate i.
-22727, -88
Suppose -5371238*z**4/13 + 35461261054*z**3/13 - 2296037862*z**2/13 + 49554666*z/13 - 356508/13 = 0. Calculate z.
3/139, 6602
What is o in -2*o**5/7 - 69204*o**4 + 484436*o**3/7 + 1453288*o**2/7 - 484434*o/7 - 968860/7 = 0?
-242215, -1, 1, 2
Find s, given that 2*s**2/11 + 2686748*s/11 - 244250 = 0.
-1343375, 1
Factor -l**2/3 + 1079854*l - 874563495987.
-(l - 1619781)**2/3
Solve -355*c**3/4 - 3790157*c**2 - 161862380783*c/4 + 455950609/2 = 0.
-21353, 2/355
Determine z so that z**4/2 - 54405*z**3 + 2961644473*z**2/2 - 47344536720*z + 378644905088 = 0.
16, 54389
Determine k so that -45*k**3/7 + 1755051*k**2/7 + 3477939*k - 8310195/7 = 0.
-71/5, 1/3, 39015
Suppose -p**3/6 + 7507*p**2/6 - 6939997*p/3 + 6936244/3 = 0. What is p?
1, 3292, 4214
Find d, given that -113569*d**3 - 10332757*d**2 + 183993*d - 819 = 0.
-91, 3/337
Factor 5*q**3 - 363557300*q**2 - 727114615*q - 363557310.
5*(q - 72711462)*(q + 1)**2
Suppose 2*l**5/15 - 94*l**4/5 + 694*l**3/15 + 72398*l**2/5 + 42504*l = 0. What is l?
-23, -3, 0, 35, 132
Solve -5*y**4 + 146210*y**3 + 4976920*y**2 = 0 for y.
-34, 0, 29276
What is a in 3*a**3 + 557253*a**2 + 557232*a - 3343500 = 0?
-185750, -3, 2
Factor -p**3 + 230579*p**2 - 1844559*p - 2075139.
-(p 