6000 = 0.
80, 188
Factor -2*w**2/21 + 233084*w/3 - 47537132174/3.
-2*(w - 407897)**2/21
Let -4*d**2 - 1232*d - 61008 = 0. Calculate d.
-246, -62
Factor -k**3/4 - 594*k**2 - 1404189*k/4 + 4255443/2.
-(k - 6)*(k + 1191)**2/4
Suppose 5*n**5 + 525*n**4 - 5630*n**3 + 13850*n**2 + 5625*n - 14375 = 0. What is n?
-115, -1, 1, 5
Solve 2*z**4/11 + 18*z**3 + 2468*z**2/11 + 7560*z/11 + 6800/11 = 0.
-85, -10, -2
Suppose 3*w**5 - 33*w**4 - 360*w**3 + 5952*w**2 - 19968*w = 0. Calculate w.
-13, 0, 8
What is q in -14*q**3/9 - 260*q**2/3 - 3976*q/9 + 400/3 = 0?
-50, -6, 2/7
Let n**2/3 + 13618*n/3 + 46362481/3 = 0. Calculate n.
-6809
Determine j, given that -9*j**5/5 + 561*j**4/5 - 2226*j**3 + 72768*j**2/5 - 4608*j = 0.
0, 1/3, 16, 30
Suppose -5*c**5/2 - 115*c**4/2 + 110*c**3 + 2890*c**2 + 8600*c + 7360 = 0. What is c?
-23, -4, -2, 8
Factor 2*k**3/13 - 19702*k**2/13 + 3733150*k - 48511250/13.
2*(k - 4925)**2*(k - 1)/13
Let 3*f**5 + 11301*f**4 - 22629*f**3 - 56517*f**2 + 67842*f = 0. Calculate f.
-3769, -2, 0, 1, 3
Factor 7*i**4 + 180*i**3 + 592*i**2 + 432*i - 176.
(i + 2)**2*(i + 22)*(7*i - 2)
Suppose k**2/3 + 481*k/3 + 18178 = 0. Calculate k.
-298, -183
Solve 14581620045*x**2 - 1080060*x + 20 = 0.
2/54003
What is k in -k**2/8 + 19*k/8 - 45/4 = 0?
9, 10
Factor z**5 + 205*z**4 - 13986*z**3.
z**3*(z - 54)*(z + 259)
Factor -p**3/3 - 9155*p**2 - 62846784*p + 188622756.
-(p - 3)*(p + 13734)**2/3
Let 4*j**3 - 722976*j**2 + 32668393536*j = 0. What is j?
0, 90372
What is f in 3*f**2 + 114975*f = 0?
-38325, 0
Solve 10*u**5/11 + 4*u**4 - 34*u**3/11 - 380*u**2/11 - 504*u/11 - 144/11 = 0 for u.
-3, -2, -2/5, 3
Find s such that s**5/5 + 8*s**4 - 752*s**3/5 - 4608*s**2 + 331776*s/5 = 0.
-36, 0, 16
Factor d**2/4 - 71*d/4 + 247.
(d - 52)*(d - 19)/4
Factor r**4 + 80*r**3 - 516*r**2.
r**2*(r - 6)*(r + 86)
Let -2*d**3/21 - 1168*d**2/21 - 4202*d/7 = 0. Calculate d.
-573, -11, 0
Determine l, given that 357604*l**2 - 954408*l + 636804 = 0.
399/299
Determine u so that -2*u**3 + 569236*u**2 - 1138466*u + 569232 = 0.
1, 284616
Factor -2*c**2/9 - 37820*c/9 - 178794050/9.
-2*(c + 9455)**2/9
Factor s**2 + 3642*s + 126245.
(s + 35)*(s + 3607)
Find i such that -i**2 + 6971*i - 20904 = 0.
3, 6968
Suppose -20*k**5 - 788*k**4 - 9840*k**3 - 37008*k**2 + 25920*k = 0. Calculate k.
-18, -12, -10, 0, 3/5
Find o such that o**3 + 2474*o**2 + 90169*o = 0.
-2437, -37, 0
Solve -2*k**5/7 + 768*k**4/7 + 2160*k**3 + 11156*k**2 + 36594*k/7 - 130572/7 = 0.
-9, -2, 1, 403
Find a such that -a**3/5 + 88*a**2/5 + 373*a/5 - 92 = 0.
-5, 1, 92
Factor 4*r**2 + 18220*r - 18224.
4*(r - 1)*(r + 4556)
Factor -5*o**3 - 676085*o**2 + 2704400*o - 2704420.
-5*(o - 2)**2*(o + 135221)
Let b**5 - 161*b**4/8 + 9*b**3/2 + 1231*b**2/4 + 493*b/2 - 285/8 = 0. What is b?
-3, -1, 1/8, 5, 19
Determine j so that 5*j**2 - 420*j - 93425 = 0.
-101, 185
What is q in -80565*q**3/2 + 2481417*q**2 + 998082*q - 372 = 0?
-2/5, 2/5371, 62
Solve -3*x**2/2 + 10041*x/2 - 678069 = 0 for x.
141, 3206
Solve 5*u**5 - 240*u**4 + 300*u**3 + 16190*u**2 + 30495*u + 14850 = 0 for u.
-6, -1, 11, 45
Determine c so that -12*c**5 + 285*c**4 - 2112*c**3 + 3774*c**2 + 7884*c + 1701 = 0.
-1, -1/4, 7, 9
Find g such that g**2/4 + 341*g/2 - 3435/4 = 0.
-687, 5
Suppose -50*w**5 - 7630*w**4 - 307724*w**3 - 1242232*w**2 + 647056*w + 438080 = 0. Calculate w.
-74, -5, -2/5, 4/5
Factor -c**2/4 - 183889*c/2 - 33815164321/4.
-(c + 183889)**2/4
Let 5*p**2 - 65445*p - 130910 = 0. Calculate p.
-2, 13091
Factor 3*p**2/2 - 21519*p/2 - 10761.
3*(p - 7174)*(p + 1)/2
Factor -25*u**4/8 - 1139165*u**3/4 - 51909242869*u**2/8 - 15572157717*u/2 - 4671585801/2.
-(u + 45566)**2*(5*u + 3)**2/8
Suppose -2*p**5/3 + 182*p**4/3 + 5612*p**3/3 + 22048*p**2/3 - 9280*p = 0. Calculate p.
-20, -6, 0, 1, 116
Let 48*i**5 - 698*i**4 - 6121*i**3 - 8129*i**2 - 927*i + 1827 = 0. Calculate i.
-29/6, -1, 3/8, 21
Factor -4*q**4 - 1072*q**3 - 90808*q**2 - 2543856*q - 22524516.
-4*(q + 21)**2*(q + 113)**2
Solve -698*g**4/15 + 236*g**3/5 + 232*g**2 + 2044*g/15 - 2 = 0.
-1, 5/349, 3
Find z such that -2*z**5/13 - 276*z**4/13 - 11680*z**3/13 - 156540*z**2/13 + 11682*z/13 + 156816/13 = 0.
-72, -33, -1, 1
Factor 2*c**2/7 - 378*c + 100152/7.
2*(c - 1284)*(c - 39)/7
Factor v**4/5 + v**3/5 - 72*v**2/5.
v**2*(v - 8)*(v + 9)/5
Let -m**4 - 792*m**3 - 18323*m**2 + 83628*m - 64512 = 0. Calculate m.
-768, -28, 1, 3
Suppose 100*u**5 + 16260*u**4 + 210084*u**3 - 885188*u**2 + 328344*u - 31968 = 0. Calculate u.
-148, -18, 1/5, 3
Let -m**3/2 - 135*m**2/2 - 1007*m/2 + 1143/2 = 0. What is m?
-127, -9, 1
Find k, given that -2*k**2/3 - 652*k/3 + 18170 = 0.
-395, 69
Let -4*r**2 + 2404*r + 144320 = 0. What is r?
-55, 656
Factor 5*l**4 + 3230*l**3 + 35045*l**2 + 76020*l - 114300.
5*(l - 1)*(l + 6)**2*(l + 635)
Factor 2*y**3/5 + 9206*y**2/5 + 10662512*y/5 + 31574616.
2*(y + 15)*(y + 2294)**2/5
Determine i so that -4*i**5 - 20*i**4 + 72*i**3 + 304*i**2 + 32*i - 384 = 0.
-6, -2, 1, 4
Determine h so that 2*h**5 + 28*h**4 - 132*h**3 - 544*h**2 - 590*h - 204 = 0.
-17, -1, 6
Let -3*x**2 - 48*x + 16236 = 0. Calculate x.
-82, 66
Suppose -4*c**3 - 14392*c**2 - 14388*c = 0. What is c?
-3597, -1, 0
Factor u**5 + 182*u**4 + 4560*u**3.
u**3*(u + 30)*(u + 152)
Let v**2/2 - 7904*v - 47433/2 = 0. Calculate v.
-3, 15811
Factor -3*f**3/5 - 618*f**2/5 - 38211*f/5 - 742224/5.
-3*(f + 47)**2*(f + 112)/5
Find z such that 4*z**4 + 20*z**3 - 1008*z**2 + 3664*z - 3520 = 0.
-20, 2, 11
Let -2*t**5/13 + 1804*t**4/13 + 7242*t**3/13 + 5436*t**2/13 = 0. What is t?
-3, -1, 0, 906
Determine m, given that m**3/7 + 787*m**2/7 + 137546*m/7 + 136760/7 = 0.
-526, -260, -1
Factor s**5 - 41*s**4 + 28*s**3 + 480*s**2.
s**2*(s - 40)*(s - 4)*(s + 3)
Solve -3*s**4/8 - 2637*s**3 - 4572126*s**2 + 224039520*s - 2706825600 = 0 for s.
-3540, 24
Let -2*n**4/5 - 648*n**3/5 - 5574*n**2/5 + 30136*n/5 - 6552 = 0. What is n?
-315, -13, 2
What is j in -2*j**3/7 - 6050*j**2/7 - 864*j = 0?
-3024, -1, 0
Determine j, given that 18*j**4/7 + 10796*j**3/7 + 1405704*j**2/7 - 65841264*j/7 + 14561856/7 = 0.
-318, 2/9, 36
Let 26*u**3 + 14126*u**2 - 9860*u - 36992 = 0. Calculate u.
-544, -17/13, 2
Factor 2*x**3/11 + 58946*x**2/11 + 435182320*x/11 + 12570762472/11.
2*(x + 29)*(x + 14722)**2/11
Find q, given that 4*q**3 - 2948*q**2 - 36*q + 26532 = 0.
-3, 3, 737
Let -5*w**3 - 17340*w**2 - 34645*w + 51990 = 0. What is w?
-3466, -3, 1
Suppose g**2/5 - 689*g/5 + 14028/5 = 0. Calculate g.
21, 668
What is z in z**5/3 + 1027*z**4/3 + 263167*z**3/3 - 265223*z**2/3 - 263168*z/3 + 264196/3 = 0?
-514, -1, 1
Factor 2*y**3/3 + 44*y**2 - 246*y - 1988/3.
2*(y - 7)*(y + 2)*(y + 71)/3
Let -35*g**3 - 207575*g**2 - 307841125*g - 219780625 = 0. Calculate g.
-2965, -5/7
Solve -4*k**2 + 12068*k = 0 for k.
0, 3017
Let -m**5/3 + 323*m**4/3 - 2227*m**3/3 + 4753*m**2/3 - 4112*m/3 + 1264/3 = 0. What is m?
1, 4, 316
Determine m, given that -4*m**4 - 1228*m**3 - 34224*m**2 = 0.
-276, -31, 0
Find c, given that -2*c**3/17 - 9722*c**2/17 - 9720*c/17 = 0.
-4860, -1, 0
Find w, given that -4*w**2 + 14032*w - 56064 = 0.
4, 3504
Factor -3*z**2 + 687*z - 26460.
-3*(z - 180)*(z - 49)
Let -68*u**2 - 420*u + 488 = 0. Calculate u.
-122/17, 1
Factor -18*h**3/5 + 50289*h**2/5 - 7024116*h - 5854827/5.
-3*(h - 1397)**2*(6*h + 1)/5
Factor p**3 + 92*p**2 + 2005*p - 4386.
(p - 2)*(p + 43)*(p + 51)
Determine z so that 2*z**3/3 - 140*z**2 + 3166*z/3 + 4444 = 0.
-3, 11, 202
Solve f**3 - 590*f**2 + 10341*f - 25740 = 0 for f.
3, 15, 572
Determine x so that -2*x**2/3 + 576544*x - 124651118976 = 0.
432408
Let 25965*k**5 + 45890*k**4 - 37985*k**3 - 45770*k**2 + 12020*k - 120 = 0. Calculate k.
-2, -1, 6/577, 2/9, 1
Let -6*b**2 - 159*b/2 - 90 = 0. Calculate b.
-12, -5/4
Factor -g**5/5 + 197*g**4/5 + 1206*g**3/5 + 2428*g**2/5 + 1624*g/5.
-g*(g - 203)*(g + 2)**3/5
Factor 89*h**2/2 - 637*h/2 + 49.
(h - 7)*(89*h - 14)/2
Solve -53*s**4/4 + 75*s**3/4 - 11*s**2/2 = 0.
0, 22/53, 1
What is y in -356*y**3 + 5976*y**2 + 1724*y - 7344 = 0?
-108/89, 1, 17
Let 3*t**4/2 - 189*t**3/2 - 99*t**2 + 192*t = 0. Calculate t.
-2, 0, 1, 64
Factor -4*d**4 - 10564*d**3 - 21112*d**2.
-4*d**2*(d + 2)*(d + 2639)
Solve 12*r**4 - 8432*r**3 - 45220*r**2 - 65112*r - 16992 = 0.
-3, -2, -1/3, 708
Find c, given that -c**2 - 35*c = 0.
-35, 0
Factor -80*m**2 + 1599*m/2 + 5.
-(m - 10)*(160*m + 1)/