 80000*f.
-5*f*(f - 250)*(f + 8)**2
Factor -2*x**2 - 2018*x + 16272.
-2*(x - 8)*(x + 1017)
Factor 2*r**3/9 - 28*r**2/9 - 1862*r/9 + 13720/9.
2*(r - 35)*(r - 7)*(r + 28)/9
Find k such that k**2/6 + 98*k + 2320/3 = 0.
-580, -8
Suppose 3*z**3 - 507*z**2 + 5814*z + 42120 = 0. What is z?
-5, 18, 156
Factor -5*t**2 - 33040*t + 364045.
-5*(t - 11)*(t + 6619)
Find r such that 2*r**5 - 1312*r**4/11 + 27086*r**3/11 - 229556*r**2/11 + 59472*r + 269568/11 = 0.
-4/11, 9, 16, 26
Solve h**4 - 641*h**3 + 5666*h**2 + 13904*h = 0 for h.
-2, 0, 11, 632
Determine s, given that -34*s**2/3 + 4*s/3 = 0.
0, 2/17
Factor 3*n**3/7 + 1851*n**2/7 - 57555*n/7 + 436725/7.
3*(n - 15)**2*(n + 647)/7
Factor 3*k**4 + 222*k**3 - 453*k**2 + 228*k.
3*k*(k - 1)**2*(k + 76)
Let -12*h**5 + 2096*h**4 - 8252*h**3 + 10264*h**2 - 4096*h = 0. Calculate h.
0, 1, 2, 512/3
Factor 2*k**3 + 3222*k**2 + 19278*k + 28890.
2*(k + 3)**2*(k + 1605)
Determine b so that -b**4 + 24923*b**3 - 207068589*b**2 + 573648947937*b - 1146469820886 = 0.
2, 8307
Suppose 1911*x**5/5 - 25536*x**4/5 + 109092*x**3/5 - 160704*x**2/5 + 76032*x/5 = 0. What is x?
0, 8/7, 66/13, 6
Factor -z**4 + 21*z**3 + 27*z**2 - 1485*z - 4050.
-(z - 15)**2*(z + 3)*(z + 6)
Factor -5*w**3 - 370*w**2 + 1955*w - 1580.
-5*(w - 4)*(w - 1)*(w + 79)
Find o such that 2*o**4/7 - 66*o**3/7 - 24*o**2/7 + 760*o/7 + 1056/7 = 0.
-2, 4, 33
Suppose 2*u**4/3 - 10*u**3/3 - 170*u**2/3 + 10*u/3 + 56 = 0. What is u?
-7, -1, 1, 12
Factor -4*q**4 - 21432*q**3 + 150220*q**2.
-4*q**2*(q - 7)*(q + 5365)
Find d, given that -5*d**5 - 255*d**4 - 1225*d**3 + 5535*d**2 - 4050*d = 0.
-45, -9, 0, 1, 2
Find g such that 5*g**2 - 8835*g - 729170 = 0.
-79, 1846
Suppose 4*o**3 + 236*o**2 + 2856*o = 0. What is o?
-42, -17, 0
Factor -4*o**2 + 5331648*o - 1776654399744.
-4*(o - 666456)**2
Find v such that 348*v**5 - 2692*v**4 + 6100*v**3 - 5628*v**2 + 1984*v - 112 = 0.
2/29, 1, 14/3
Solve -q**3/6 - 35*q**2 + 3103*q/6 - 1232 = 0.
-224, 3, 11
Solve p**3 - 3929*p**2 + 15703*p - 11775 = 0 for p.
1, 3, 3925
Solve -3*x**4 - 9081*x**3 - 508038*x**2 - 498960*x = 0.
-2970, -56, -1, 0
Determine r so that 3*r**2/7 + 14523*r - 1322100/7 = 0.
-33900, 13
Factor 242*q**4/5 - 10318*q**3/5 - 25402*q**2/5 - 3042*q.
2*q*(q - 45)*(11*q + 13)**2/5
Determine s, given that 2*s**5/5 + 126*s**4/5 + 442*s**3/5 - 1806*s**2/5 - 2124*s/5 = 0.
-59, -6, -1, 0, 3
Determine j, given that -21*j**3/8 + 641*j**2/2 + 99359*j/8 - 4743/4 = 0.
-31, 2/21, 153
Factor -q**2/7 + 770*q + 43184/7.
-(q - 5398)*(q + 8)/7
Factor 470*g**2 + 1306*g - 312.
2*(g + 3)*(235*g - 52)
Factor 2*z**2/13 - 656*z - 162754/13.
2*(z - 4283)*(z + 19)/13
Factor 2*s**2/13 + 13660*s/13 + 23324450/13.
2*(s + 3415)**2/13
Determine t so that -t**3/2 - 153*t**2 + 1237*t/2 - 465 = 0.
-310, 1, 3
Solve g**5/7 + 9*g**4/7 - 956*g**3/7 - 3540*g**2/7 + 200800*g/7 + 408000/7 = 0 for g.
-30, -17, -2, 20
Factor -45*g**3 + 366*g**2 - 768*g + 96.
-3*(g - 4)**2*(15*g - 2)
Factor 2*s**3/7 + 360*s**2/7 + 16200*s/7.
2*s*(s + 90)**2/7
Determine a, given that -5*a**3/4 + 23929*a**2 - 114853*a/4 + 9571/2 = 0.
1/5, 1, 19142
Factor -f**3/4 - 74891*f**2/4.
-f**2*(f + 74891)/4
Determine u so that 3*u**2/2 - 7773*u + 20139843/2 = 0.
2591
Find s such that -2*s**3/9 - 20*s**2 - 1288*s/3 + 8464/9 = 0.
-46, 2
Let 3*u**5/2 + 78*u**4 - 1797*u**3/2 - 10953*u**2 - 14148*u + 25920 = 0. What is u?
-60, -6, -3, 1, 16
Factor -2*m**2/9 + 978284*m/3 - 119629948082.
-2*(m - 733713)**2/9
Let -4*m**4/7 + 7236*m**3/7 - 28900*m**2/7 + 36108*m/7 - 14440/7 = 0. What is m?
1, 2, 1805
Let -2*t**3 - 100*t**2 - 1282*t - 4160 = 0. What is t?
-32, -13, -5
Solve -4*n**3 - 68348*n**2 = 0 for n.
-17087, 0
Suppose -c**4 - 1086*c**3 - 8629*c**2 - 5340*c + 53900 = 0. What is c?
-1078, -5, 2
Let 3*u**4/5 - 40482*u**3/5 + 136525539*u**2/5 + 273172536*u/5 + 136606512/5 = 0. What is u?
-1, 6748
Suppose -4*u**2 + 45808*u + 779892 = 0. What is u?
-17, 11469
Factor -n**3/3 + 16042*n**2 + 96256*n/3.
-n*(n - 48128)*(n + 2)/3
Factor -4*z**3 - 2804*z**2 - 11132*z + 13940.
-4*(z - 1)*(z + 5)*(z + 697)
Solve -4*m**3/5 + 272*m**2 - 4044*m/5 = 0.
0, 3, 337
What is t in -t**4/4 + 55*t**3/2 + 457*t**2/4 - 55*t/2 - 114 = 0?
-4, -1, 1, 114
Factor -3*o**2/2 + 333*o/2 - 2937.
-3*(o - 89)*(o - 22)/2
Suppose -9*v**3 - 445710*v**2 + 297147*v + 148572 = 0. What is v?
-49524, -1/3, 1
Find k, given that 3*k**5/4 - 42261*k**4/2 + 338055*k**3/4 - 105639*k**2 + 42255*k = 0.
0, 1, 2, 28170
Let -3*r**4/4 + 110*r**3 - 8751*r**2/4 - 16855*r/2 - 2562 = 0. What is r?
-3, -1/3, 28, 122
Factor -v**3/6 - 883*v**2/2 - 441*v + 2648/3.
-(v - 1)*(v + 2)*(v + 2648)/6
Suppose 2*f**2 + 23346*f - 70056 = 0. What is f?
-11676, 3
Solve -162*c**3 - 1125342*c**2 + 500176*c - 55576 = 0 for c.
-6947, 2/9
Factor -2*i**2 - 64404*i - 64402.
-2*(i + 1)*(i + 32201)
Find n such that -4*n**2 - 660*n + 19864 = 0.
-191, 26
Find c such that -2*c**4/7 + 152*c**3 - 68398*c**2/7 - 69464*c/7 = 0.
-1, 0, 76, 457
Solve 2*x**3/15 - 26*x**2/15 - 52*x/5 + 144 = 0 for x.
-9, 10, 12
Factor -3*h**2/2 + 825*h - 1647/2.
-3*(h - 549)*(h - 1)/2
Factor 3*o**4/5 - 948180*o**3 + 1873006326594*o**2/5 + 749205375180*o + 1873015808403/5.
3*(o - 790151)**2*(o + 1)**2/5
Solve 5*g**5 + 310*g**4 - 2520*g**3 - 29440*g**2 + 217600*g = 0.
-68, -10, 0, 8
Factor 3*r**2 + 25443*r.
3*r*(r + 8481)
Factor p**4/5 - 3637*p**3 + 925701*p**2/5 - 15727091*p/5 + 89092342/5.
(p - 18134)*(p - 17)**3/5
Let z**4 + 972*z**3 + 236195*z**2 - 972*z - 236196 = 0. Calculate z.
-486, -1, 1
Suppose 14*n**2/19 + 50810*n/19 + 764 = 0. Calculate n.
-3629, -2/7
Find j, given that 45*j**3 + 33540*j**2 + 44660*j + 14880 = 0.
-744, -2/3
Factor 3*m**4/2 - 63*m**3/2 + 84*m**2 + 306*m.
3*m*(m - 17)*(m - 6)*(m + 2)/2
Find o such that -o**3/3 - 73*o**2 - 4240*o - 78652/3 = 0.
-106, -7
Determine s so that 3*s**2/5 + 3543*s - 35442/5 = 0.
-5907, 2
Factor -2*t**4/3 + 33008*t**3/3 - 136652336*t**2/3 + 1268959552*t - 8867646816.
-2*(t - 8238)**2*(t - 14)**2/3
Suppose 2*a**5 - 22*a**4 - 40*a**3 + 1320*a**2 - 5472*a + 6912 = 0. What is a?
-8, 3, 4, 6
Factor 3*s**5 + 612*s**4 + 30594*s**3 - 63036*s**2 + 31827*s.
3*s*(s - 1)**2*(s + 103)**2
Factor 5*g**3 - 8390*g**2 - 272725*g - 1496250.
5*(g - 1710)*(g + 7)*(g + 25)
Determine i so that -i**3 + 200702*i**2 + 200703*i = 0.
-1, 0, 200703
Determine x, given that x**4 - 7688*x**3 - 30763*x**2 - 38458*x - 15384 = 0.
-2, -1, 7692
What is d in -2*d**2 - 4840*d - 14502 = 0?
-2417, -3
Factor 50*d**3 + 230260*d**2 - 184232*d + 36848.
2*(d + 4606)*(5*d - 2)**2
Suppose -2*u**3/9 + 340*u**2/3 - 12466*u + 393576 = 0. Calculate u.
69, 372
What is z in -z**4/4 - 3*z**3/2 + 245*z**2/4 - 339*z/2 + 110 = 0?
-20, 1, 2, 11
Find o such that -909*o**3/7 - 25827*o**2/7 - 10524*o/7 - 96 = 0.
-28, -1/3, -8/101
Suppose -10*n**2 + 43942*n + 87924 = 0. What is n?
-2, 21981/5
Determine s, given that -2*s**5/5 + 2206*s**4/5 - 126584*s**3 + 13456712*s**2/5 - 2313792*s - 5132160 = 0.
-1, 2, 22, 540
Factor -3*m**3/5 - 3087*m**2/5 + 6186*m/5.
-3*m*(m - 2)*(m + 1031)/5
Factor -5*n**3 - 2795*n**2 - 8320*n + 11120.
-5*(n - 1)*(n + 4)*(n + 556)
Factor r**5 + 140*r**4 + 1371*r**3 - 285296*r**2 - 286528*r.
r*(r - 37)*(r + 1)*(r + 88)**2
Solve 2*g**4/11 - 5014*g**3/11 + 3155030*g**2/11 - 15670026*g/11 + 12520008/11 = 0.
1, 4, 1251
Factor -245*n**3 + 755*n**2 + 205*n - 795.
-5*(n - 3)*(n + 1)*(49*n - 53)
Suppose -2*g**3/7 + 9308*g**2/7 - 10829858*g/7 = 0. What is g?
0, 2327
Factor -2*b**2/7 + 1382*b/7 + 5560/7.
-2*(b - 695)*(b + 4)/7
Let -5*s**4/6 + 480*s**3 - 141985*s**2/2 + 1600340*s/3 + 604920 = 0. Calculate s.
-1, 9, 284
What is w in w**5 - 90*w**4 + 828*w**3 - 2246*w**2 + 435*w + 3600 = 0?
-1, 3, 5, 80
Solve 1180*y**4 - 31855*y**3/3 + 17685*y**2 + 29525*y + 125/3 = 0 for y.
-1, -1/708, 5
Determine i so that 245*i**2/4 - 177175*i/4 - 44355 = 0.
-1, 35484/49
Factor 4*j**3 + 220*j**2 + 2504*j - 5920.
4*(j - 2)*(j + 20)*(j + 37)
Factor -2*n**3/7 - 32352*n**2/7 + 97074*n/7.
-2*n*(n - 3)*(n + 16179)/7
Factor -g**2/6 + g/6 + 176.
-(g - 33)*(g + 32)/6
Factor -2*c**3/7 - 247984*c**2/7.
-2*c**2*(c + 123992)/7
Find q such that -q**3/6 + 2761*q**2/3 + 22109*q/6 - 4605 = 0.
-5, 1, 5526
Factor 6*c**3 - 53457*c**2 + 133614*c - 80163.
3*(c - 8907)*(c - 1)*(2*c - 3)
Suppose -2*l**5 - 542*l**4 + 5090*l**3 + 13934*l**2 - 18480*l = 0. What