i**2/13 - 406414*i/13 - 406412/13 = 0.
-203206, -1
Let -35*z**4 + 2680*z**3 - 4145*z**2 + 1500*z = 0. Calculate z.
0, 4/7, 1, 75
Let 14*x**3/13 + 1160*x**2/13 - 2550*x/13 = 0. Calculate x.
-85, 0, 15/7
Suppose -h**2/3 + 106903*h/3 + 106906 = 0. What is h?
-3, 106906
Suppose -3*u**2 - 260*u - 1600 = 0. Calculate u.
-80, -20/3
Determine b so that 186*b**4/5 - 312*b**3/5 - 2036*b**2/15 - 536*b/15 + 2/5 = 0.
-1, -1/3, 1/93, 3
Factor 5*w**3 - 610*w**2 - 33025*w - 63570.
5*(w - 163)*(w + 2)*(w + 39)
Solve 5*h**2 - 261225*h = 0 for h.
0, 52245
Factor -s**3/3 + 436*s**2/3 - 55*s/3 - 55100.
-(s - 435)*(s - 20)*(s + 19)/3
Factor -6*c**2/5 - 419196*c/5 + 419202/5.
-6*(c - 1)*(c + 69867)/5
Factor 2*w**4/3 + 13886*w**3/9 - 9260*w**2/9.
2*w**2*(w + 2315)*(3*w - 2)/9
Factor -1868*m**2 + 48536*m + 832.
-4*(m - 26)*(467*m + 8)
Factor 4*r**4 + 28548*r**3 + 85620*r**2 + 85612*r + 28536.
4*(r + 1)**3*(r + 7134)
Determine q, given that -3*q**2 - 4386*q - 65115 = 0.
-1447, -15
Factor -5*d**3/3 + 3085*d**2/3 - 184605*d + 7654365.
-5*(d - 279)**2*(d - 59)/3
Suppose 3*z**5/4 + 21*z**4/2 - 111*z**3 - 1050*z**2 + 7056*z = 0. What is z?
-14, 0, 6, 8
Solve 69*j**5 + 2145*j**4 + 11364*j**3 + 22224*j**2 + 15648*j + 1200 = 0 for j.
-25, -2, -2/23
Solve 2*n**5/5 + 164*n**4/5 + 1142*n**3/5 - 3124*n**2/5 - 1144*n/5 + 592 = 0.
-74, -10, -1, 1, 2
Determine r so that -r**5 + 5*r**4 + 7*r**3 - 41*r**2 + 30*r = 0.
-3, 0, 1, 2, 5
Find k, given that -4*k**5 - 300*k**4 - 5240*k**3 + 36440*k**2 + 916860*k + 3488212 = 0.
-37, -7, 13
Factor 2*j**3 + 395220*j**2 - 790446*j + 395224.
2*(j - 1)**2*(j + 197612)
Determine d, given that -3*d**2/8 - 120*d + 410427/8 = 0.
-563, 243
Factor 4*b**3 + 936*b**2 - 13728*b + 39680.
4*(b - 10)*(b - 4)*(b + 248)
Factor -4*b**2/9 - 7564*b/9 - 17584/3.
-4*(b + 7)*(b + 1884)/9
Suppose 6*w**5 - 1959*w**4/2 - 1587*w**3/2 + 18123*w**2/2 + 13311*w/2 - 2214 = 0. Calculate w.
-3, -1, 1/4, 3, 164
Factor l**2/4 - 2169*l/4 + 2165.
(l - 2165)*(l - 4)/4
Factor -2*d**2/7 + 1330352*d/7 - 221229555488/7.
-2*(d - 332588)**2/7
Factor 486*n**3 + 7286*n**2 + 6744*n - 56.
2*(n + 1)*(n + 14)*(243*n - 2)
Solve -177*p**4 - 3429*p**3 - 1254*p**2 = 0 for p.
-19, -22/59, 0
Solve -3*c**4/2 + 267*c**3/2 - 2097*c**2/2 - 5007*c/2 - 1320 = 0 for c.
-1, 11, 80
Determine c, given that c**4/2 + 126*c**3 + 13759*c**2/2 - 126*c - 6880 = 0.
-172, -80, -1, 1
Factor n**3 + 388*n**2 - 391*n - 778.
(n - 2)*(n + 1)*(n + 389)
Suppose -l**4/4 + 2047*l**3/2 - 4335001*l**2/4 + 74097306*l - 1310295204 = 0. What is l?
36, 2011
Find x, given that -6*x**5 - 291*x**4/2 - 30*x**3 + 291*x**2/2 + 36*x = 0.
-24, -1, -1/4, 0, 1
Factor 2*h**3/5 + 2238*h**2/5 + 161424*h/5 + 3012184/5.
2*(h + 38)**2*(h + 1043)/5
Suppose b**2/3 - 134*b/3 - 272/3 = 0. Calculate b.
-2, 136
Factor -d**3/2 - 12*d**2 + 187*d/2 + 105.
-(d - 7)*(d + 1)*(d + 30)/2
Factor -6*p**3/17 + 3742*p**2 - 168624810*p/17 + 56201202/17.
-2*(p - 5301)**2*(3*p - 1)/17
Let i**3/2 - 10*i**2 - 1659*i/2 - 2385 = 0. What is i?
-30, -3, 53
Determine k so that -2*k**2 + 1301188*k - 211636276418 = 0.
325297
Solve -284*t**4 - 1996*t**3 + 29480*t**2 - 67328*t - 1920 = 0 for t.
-15, -2/71, 4
Factor -5*s**3 - 18710*s**2 - 261205*s - 913360.
-5*(s + 7)**2*(s + 3728)
Determine u, given that -u**2/3 - 1492*u/3 + 996 = 0.
-1494, 2
Factor n**3/6 + 5983*n**2/6 + 8891963*n/6 - 171114019/6.
(n - 19)*(n + 3001)**2/6
Factor -o**2/3 - 1055132*o/3 - 278325884356/3.
-(o + 527566)**2/3
What is b in -768*b**3 + 96*b**2 + 729*b - 135 = 0?
-1, 3/16, 15/16
Find y, given that -3*y**2/7 - 618*y/7 + 9963 = 0.
-287, 81
Solve d**5/6 + 25*d**4/6 - 83*d**3/2 + 499*d**2/6 + 56*d/3 - 110 = 0 for d.
-33, -1, 2, 5
Determine l, given that 10*l**2 + 115784*l - 69474 = 0.
-11579, 3/5
Solve -3*c**3 + 534*c**2 + 555*c - 3222 = 0.
-3, 2, 179
Factor 2*a**3 + 7310*a**2 + 6675856*a - 6683168.
2*(a - 1)*(a + 1828)**2
Factor -3*y**3 - 6210*y**2 - 3474900*y - 264627000.
-3*(y + 90)*(y + 990)**2
Find k, given that 21*k**5 + 1782*k**4 + 57483*k**3/7 + 27816*k**2/7 - 97488*k/7 + 34560/7 = 0.
-80, -3, 4/7
Solve 238*g**5/13 + 4*g**4/13 - 1666*g**3/13 + 1400*g**2/13 + 24*g/13 = 0.
-3, -2/119, 0, 1, 2
Suppose -f**2 + 153*f - 740 = 0. What is f?
5, 148
What is i in 2*i**2/3 - 190348*i/3 + 126896 = 0?
2, 95172
Determine p, given that -p**2/9 - 2825*p/9 + 5654/9 = 0.
-2827, 2
Let 2*y**4 + 830*y**3/3 + 272*y**2/3 - 184*y = 0. Calculate y.
-138, -1, 0, 2/3
Solve -2*p**4 - 12*p**3 + 50*p**2 + 444*p + 720 = 0 for p.
-5, -4, -3, 6
What is o in -2*o**3 - 48*o**2 + 266*o + 1176 = 0?
-28, -3, 7
Determine g, given that 168*g**4 + 4028*g**3 - 214296*g**2 + 215100*g - 5000 = 0.
-50, 1/42, 1, 25
Find r, given that -6*r**5 - 4546*r**4 - 36272*r**3/3 - 24160*r**2/3 = 0.
-755, -4/3, 0
Solve 2*q**5/3 - 266*q**4/3 + 11008*q**3/3 - 121840*q**2/3 - 209376*q - 225504 = 0.
-2, 29, 54
Let -198*b**5 - 39256*b**4 - 791152*b**3/9 - 172352*b**2/9 + 25120*b/9 + 6272/9 = 0. What is b?
-196, -2, -2/9, 2/11
Solve 242*n**5 - 13788*n**4 + 261744*n**3 - 1653380*n**2 - 41154*n = 0 for n.
-3/121, 0, 19
Factor 5*q**2/4 + 908385*q/2 + 165032661645/4.
5*(q + 181677)**2/4
Find j, given that j**4 - 1376*j**3 + 236250*j**2 - 14383656*j + 296805789 = 0.
63, 1187
Solve 5*w**3 - 3770*w**2 + 750300*w - 14735160 = 0.
22, 366
Factor -20*a**2 + 775*a - 5355.
-5*(a - 9)*(4*a - 119)
Determine u so that 2*u**5/3 - 38*u**4/3 + 134*u**3/3 + 334*u**2/3 - 568*u/3 - 728/3 = 0.
-2, -1, 2, 7, 13
Factor 2*f**2/13 - 1778*f/13 - 32652/13.
2*(f - 907)*(f + 18)/13
Factor 4*u**4/3 + 29312*u**3/3 + 53670260*u**2/3 - 107457800*u/3.
4*u*(u - 2)*(u + 3665)**2/3
Let -10*a**4/9 + 2464*a**3/3 - 1363078*a**2/9 - 365560*a/3 + 273800/9 = 0. Calculate a.
-1, 1/5, 370
Solve 3*w**5 - 441*w**4 - 1797*w**3 - 2259*w**2 - 906*w = 0.
-2, -1, 0, 151
Suppose -2*f**2 + 7958*f - 562608 = 0. What is f?
72, 3907
Factor s**3/3 - 13454*s**2/9 - 13457*s/9.
s*(s + 1)*(3*s - 13457)/9
Determine h so that h**2/2 - 88446*h + 3911347458 = 0.
88446
Factor -2116*j**2 + 1656*j - 320.
-4*(23*j - 10)*(23*j - 8)
Factor -2*v**4/9 + 1148*v**3/3 - 3432*v**2 + 10284*v - 10278.
-2*(v - 1713)*(v - 3)**3/9
Suppose 2*p**5/9 + 52*p**4/3 + 2816*p**3/9 - 3776*p**2/3 - 87040*p/9 + 102400/3 = 0. What is p?
-40, -6, 4
Suppose y**5 + 21*y**4 + 95*y**3 + 63*y**2 - 180*y = 0. What is y?
-15, -4, -3, 0, 1
Factor 2*d**3 + 3226*d**2 + 88814*d + 85590.
2*(d + 1)*(d + 27)*(d + 1585)
Determine y, given that -y**2/5 - 67*y/5 - 198 = 0.
-45, -22
Factor -5*f**3 - 3145*f**2 - 142320*f - 1673280.
-5*(f + 24)**2*(f + 581)
Factor -5*h**3 - 240*h**2 - 1465*h - 1230.
-5*(h + 1)*(h + 6)*(h + 41)
Find z, given that z**5/3 + 346*z**4/3 - 11027*z**3/3 + 94708*z**2/3 - 157724*z/3 + 73696/3 = 0.
-376, 1, 14
Solve 4*m**2/5 + 8796*m/5 - 795528/5 = 0.
-2286, 87
Factor -5*m**2 - 211780*m - 2242538420.
-5*(m + 21178)**2
Let -1171*o**2 - 7024*o + 12 = 0. What is o?
-6, 2/1171
Factor v**2/4 - 5385*v/2 + 5384.
(v - 10768)*(v - 2)/4
Factor -2*k**3/7 + 1244*k**2/7 - 113152*k/7 + 400192.
-2*(k - 518)*(k - 52)**2/7
Find u, given that 2*u**4 - 4656*u**3 + 2787140*u**2 - 89300832*u - 92092630 = 0.
-1, 35, 1147
Factor -2*r**2 - 600*r + 3050.
-2*(r - 5)*(r + 305)
Factor 2*p**3/5 - 528*p**2 + 174240*p.
2*p*(p - 660)**2/5
Determine l so that 28*l**4/3 + 1160*l**3 - 24404*l**2/3 + 9808*l + 10480/3 = 0.
-131, -2/7, 2, 5
Let 16*j**5 + 22*j**4 - 9*j**3 - 22*j**2 - 7*j = 0. Calculate j.
-1, -7/8, -1/2, 0, 1
Determine r so that -2*r**4 + 8*r**3 + 94*r**2 - 204*r - 288 = 0.
-6, -1, 3, 8
Factor -s**4/2 - 29*s**3 - 779*s**2/2 + 899*s.
-s*(s - 2)*(s + 29)*(s + 31)/2
Find s such that -84*s**5 - 4750*s**4 - 27190*s**3 + 15810*s**2 + 15514*s + 700 = 0.
-50, -7, -1/2, -1/21, 1
Factor -6*t**2 + 154*t/3 - 196/3.
-2*(t - 7)*(9*t - 14)/3
Factor -2*r**3/7 + 120*r**2 - 85626*r/7 - 544428/7.
-2*(r - 213)**2*(r + 6)/7
Factor -5*k**2 - 45715*k - 45710.
-5*(k + 1)*(k + 9142)
Factor 5*o**4 - 65*o**3 - 1760*o**2 + 24320*o.
5*o*(o - 16)**2*(o + 19)
Determine j so that -1014*j**3/7 - 3508*j**2/7 - 850*j/7 + 1644/7 = 0.
-3, -1, 274/507
Factor 224*r**2 + 2028*r + 108.
4*(r + 9)*(56*r + 3)
Suppose -3*j**3/7 - 762*j**2/7 - 19065*j/7 - 18306/7 = 0. Calculate j.
-226, -27, -1
Factor m**2 - 106375*m.
m*(m - 106375)
Determine g, given that 8*g**5 - 210*g**4 - 1954*g**3 - 5088*g**2 - 4984*g - 1632 = 0.
