92 = 0.
2/5, 2, 5622
Factor 3*f**2/8 + 120*f - 23283/2.
3*(f - 78)*(f + 398)/8
Factor -5*d**2 - 2021610*d - 204345349605.
-5*(d + 202161)**2
Solve 2*i**3/5 + 388*i**2/5 - 1578*i/5 + 1188/5 = 0.
-198, 1, 3
Factor -p**5 - 121*p**4 - 3212*p**3 + 27136*p**2 - 49152*p.
-p*(p - 4)*(p - 3)*(p + 64)**2
Factor 5*t**3 - 1035*t**2 + 22680*t + 3572100.
5*(t - 126)**2*(t + 45)
Factor -j**2/4 + 5313*j/2 - 28227969/4.
-(j - 5313)**2/4
Factor -4*h**2 - 15454936*h - 14928440422756.
-4*(h + 1931867)**2
Find d, given that d**5/5 + 174*d**4/5 + 1013*d**3/5 + 828*d**2/5 - 2016*d/5 = 0.
-168, -4, -3, 0, 1
Factor 3*a**3/5 + 21*a**2 + 462*a/5 + 72.
3*(a + 1)*(a + 4)*(a + 30)/5
Solve 2*f**2 - 126780*f + 2009146050 = 0.
31695
Factor -3*j**3 - 714012*j**2 - 714009*j.
-3*j*(j + 1)*(j + 238003)
Let 2*g**4/9 - 2*g**3/9 - 242*g**2 + 242*g = 0. Calculate g.
-33, 0, 1, 33
Factor -4*a**2 + 31924*a + 63864.
-4*(a - 7983)*(a + 2)
Factor -c**4 - 97*c**3 + 99*c**2 + 97*c - 98.
-(c - 1)**2*(c + 1)*(c + 98)
Determine f, given that -2*f**3/3 - 378*f**2 - 1876*f - 4496/3 = 0.
-562, -4, -1
Solve -g**4/2 - 2115*g**3/2 - 10539*g**2 - 29482*g - 25260 = 0 for g.
-2105, -6, -2
Factor -o**2/3 + 91*o + 16900/3.
-(o - 325)*(o + 52)/3
Factor 4*l**3/5 + 204*l**2/5 - 25956*l/5 + 75924/5.
4*(l - 57)*(l - 3)*(l + 111)/5
Factor 2*i**4 + 654*i**3 + 1300*i**2.
2*i**2*(i + 2)*(i + 325)
Determine u, given that -u**2 + 2471090*u - 1526571447025 = 0.
1235545
What is h in -4*h**3/9 + 620*h**2/9 - 4768*h/9 + 3136/3 = 0?
4, 147
Factor 2*t**3/3 - 18436*t**2/3 + 14186470*t - 113098800.
2*(t - 4605)**2*(t - 8)/3
Determine i, given that -3*i**3/7 - 60*i**2 - 14337*i/7 = 0.
-81, -59, 0
Determine r, given that -2*r**4/9 - 956*r**3/9 - 42448*r**2/3 - 3060736*r/9 - 5619712/9 = 0.
-224, -28, -2
Suppose -5*x**2 - 4087440*x - 835358287680 = 0. What is x?
-408744
Factor -4*v**2/3 - 22688*v/3 + 7564.
-4*(v - 1)*(v + 5673)/3
Let -3*d**3 - 114843*d**2 = 0. What is d?
-38281, 0
Factor 4*l**4 + 20220*l**3 + 25522668*l**2 - 76750092*l.
4*l*(l - 3)*(l + 2529)**2
Find p, given that p**2 - 13308*p + 44275716 = 0.
6654
Solve j**3/2 - 98531*j**2/2 + 2427138755*j/2 - 2427040225/2 = 0.
1, 49265
Factor -2*g**3/7 + 194072*g**2/7 - 4707992648*g/7.
-2*g*(g - 48518)**2/7
Factor -3*k**2/5 + 43296*k/5 - 43293/5.
-3*(k - 14431)*(k - 1)/5
Factor -h**3/4 + 27917*h**2/4 - 48713420*h + 48706441.
-(h - 13958)**2*(h - 1)/4
Determine t so that 2*t**4/25 + 2*t**3/25 - 114*t**2/25 - 2*t/25 + 112/25 = 0.
-8, -1, 1, 7
Factor 4*x**3 - 20788*x**2 - 41588*x - 20796.
4*(x - 5199)*(x + 1)**2
Factor 276*d**4 + 226*d**3 + 176*d**2/3 + 14*d/3.
2*d*(3*d + 1)**2*(46*d + 7)/3
Suppose -7*v**3/2 + 305*v**2/2 - 1598*v + 864 = 0. Calculate v.
4/7, 16, 27
Factor 13*u**2 + 6483*u - 1996.
(u + 499)*(13*u - 4)
Solve 2*l**5 - 4262*l**4 - 99040*l**3 - 94776*l**2 = 0.
-22, -1, 0, 2154
Determine k so that 2*k**4/9 + 26*k**3/9 - 1658*k**2/9 - 26*k/9 + 184 = 0.
-36, -1, 1, 23
Factor r**4 + 200*r**3 + 5973*r**2 + 11350*r + 5576.
(r + 1)**2*(r + 34)*(r + 164)
Determine d so that 4*d**3 - 26748*d**2 + 80216*d - 53472 = 0.
1, 2, 6684
Let -4*t**2 + 162104*t - 486276 = 0. What is t?
3, 40523
Factor 3*c**4/7 + 27*c**3 - 282*c**2/7 - 5760*c/7.
3*c*(c - 6)*(c + 5)*(c + 64)/7
Factor 5*l**3 - 63245*l**2 + 199964875*l + 200028125.
5*(l - 6325)**2*(l + 1)
Factor b**2/2 - 84*b + 3136.
(b - 112)*(b - 56)/2
Solve -3*v**5 - 1311*v**4 - 6507*v**3 - 11685*v**2 - 9078*v - 2592 = 0 for v.
-432, -2, -1
Determine g so that g**4/3 + 21*g**3 + 836*g**2/3 - 644*g = 0.
-42, -23, 0, 2
Find r, given that -r**2/8 - 3655*r/8 + 12817/4 = 0.
-3662, 7
Factor 3*a**2/7 - 357894*a/7 + 10674009603/7.
3*(a - 59649)**2/7
Suppose -1250*t**4/7 + 40100*t**3/7 - 3202*t**2/7 + 64*t/7 = 0. Calculate t.
0, 1/25, 32
Solve 2*p**5/9 + 130*p**4/9 + 1102*p**3/9 - 4666*p**2/9 - 368*p/3 + 504 = 0.
-54, -14, -1, 1, 3
Let r**2/3 + 154*r/3 - 320 = 0. What is r?
-160, 6
Solve -h**3 + 50*h**2 - 675*h + 2250 = 0.
5, 15, 30
Factor -d**3/9 - 59*d**2/9 - 88*d/3 + 36.
-(d - 1)*(d + 6)*(d + 54)/9
What is a in -56*a**3 + 43180*a**2 - 89212*a + 6152 = 0?
1/14, 2, 769
Factor 2*u**2/3 + 64*u - 392/3.
2*(u - 2)*(u + 98)/3
Determine x, given that x**4/4 + 5*x**3/4 - 51*x**2/2 - 54*x = 0.
-12, -2, 0, 9
Suppose -1245*j**4 - 14643*j**3 - 40488*j**2 - 24732*j - 4320 = 0. What is j?
-8, -3, -2/5, -30/83
Factor 2*a**2/9 - 1670*a/3 - 10028/9.
2*(a - 2507)*(a + 2)/9
Find f, given that 1329*f**3/4 - 115629*f**2/4 - 59010*f + 267 = 0.
-2, 2/443, 89
Let -143*m**2 - 1271*m + 144 = 0. What is m?
-9, 16/143
Find t such that -2*t**3/7 - 24776*t**2/7 + 49558*t/7 - 3540 = 0.
-12390, 1
Factor -2*j**3/5 + 136*j**2/5 + 1608*j/5 - 3744/5.
-2*(j - 78)*(j - 2)*(j + 12)/5
Factor 3*j**4 - 630*j**3 + 6084*j**2 - 16872*j + 14400.
3*(j - 200)*(j - 6)*(j - 2)**2
Solve -g**3/5 + 194*g**2 + 7889*g/5 - 12714 = 0 for g.
-13, 5, 978
Let -4*k**5 - 745*k**4/2 + 2259*k**3/2 + 2419*k**2 - 2788*k - 384 = 0. Calculate k.
-96, -2, -1/8, 1, 4
Factor -3*m**2 + 1644*m - 17721.
-3*(m - 537)*(m - 11)
Determine v, given that -4*v**5/5 - 772*v**4/5 + 3976*v**3/5 + 2992*v**2/5 - 34656*v/5 + 38016/5 = 0.
-198, -3, 2, 4
Determine r so that 4*r**2 + 64604*r + 193776 = 0.
-16148, -3
Factor -3*d**2 - 60*d + 9447.
-3*(d - 47)*(d + 67)
What is m in m**3/8 + 15585*m**2/4 + 93503*m/8 + 31167/4 = 0?
-31167, -2, -1
Factor v**3/4 - 369*v**2 + 168873*v - 22439272.
(v - 622)**2*(v - 232)/4
Suppose 3*p**2/2 - 180*p + 10653/2 = 0. Calculate p.
53, 67
Let c**4/3 - 5590*c**3/3 + 2602144*c**2 + 5211744*c = 0. What is c?
-2, 0, 2796
Solve -2*p**4/7 + 24172*p**3/7 - 24154*p**2/7 - 193384*p/7 + 290040/7 = 0.
-3, 2, 12085
Find k such that k**4/2 + 17*k**3/2 + 26*k**2 = 0.
-13, -4, 0
Determine h, given that -5*h**4 - 33075*h**3 - 54648145*h**2 + 164176035*h - 109494810 = 0.
-3309, 1, 2
Factor -5*s**2 - 500*s - 7055.
-5*(s + 17)*(s + 83)
Let 5*z**4/4 - 120*z**3 + 3105*z**2/2 - 2430*z - 98415/4 = 0. What is z?
-3, 9, 81
Factor s**2/6 - 3706*s/3 + 6867218/3.
(s - 3706)**2/6
Determine g so that 5*g**2 + 1280*g + 50715 = 0.
-207, -49
Suppose 5*i**2 - 385*i - 5850 = 0. Calculate i.
-13, 90
Suppose 3*p**2 - 494847*p - 989706 = 0. Calculate p.
-2, 164951
Determine f, given that 4*f**3 - 11931*f**2 - 5969*f/2 + 8949/2 = 0.
-3/4, 1/2, 2983
Solve 3*q**5 + 1176*q**4 - 5937*q**3 + 7146*q**2 = 0 for q.
-397, 0, 2, 3
Determine z, given that 5*z**5 + 680*z**4 + 1975*z**3 - 2720*z**2 - 7980*z = 0.
-133, -3, -2, 0, 2
Factor -a**3 - 7743*a**2 - 7742*a.
-a*(a + 1)*(a + 7742)
Factor -c**3 - 57*c**2 - 342*c + 400.
-(c - 1)*(c + 8)*(c + 50)
Let -4*b**2 - 144*b - 272 = 0. What is b?
-34, -2
Find p such that -p**2/5 - 188*p/5 + 1164/5 = 0.
-194, 6
Suppose -g**3 - 36149*g**2 - 36146*g + 72296 = 0. Calculate g.
-36148, -2, 1
What is l in 4205*l**4/6 - 3505*l**3 + 33665*l**2/6 - 2810*l + 10/3 = 0?
1/841, 1, 2
Find j, given that -841*j**2/2 + 2232478*j - 2963114162 = 0.
76982/29
Suppose 6*q**5 - 3339*q**4 - 11775*q**3 + 8388*q**2 + 6720*q = 0. What is q?
-4, -1/2, 0, 1, 560
Factor -2*l**2/11 + 310*l/11 - 1788/11.
-2*(l - 149)*(l - 6)/11
Determine f so that 3*f**4/5 - 6315*f**3 + 82939503*f**2/5 + 748445967*f/5 + 1498029606/5 = 0.
-6, -3, 5267
Factor -f**2/5 + 304311*f/5.
-f*(f - 304311)/5
Factor -2*b**2/7 + 54354*b/7 - 108700/7.
-2*(b - 27175)*(b - 2)/7
Determine b so that -b**4/5 + 52736*b**3/5 - 105469*b**2/5 + 52734*b/5 = 0.
0, 1, 52734
Factor -2*a**2/11 + 564*a/11 + 2146.
-2*(a - 319)*(a + 37)/11
Find n such that 5*n**4/6 + 47265*n**3/2 + 446796045*n**2/2 + 1407854337795*n/2 = 0.
-9453, 0
Solve -2*r**5 - 12*r**4 + 134*r**3 + 176*r**2 - 1128*r - 1760 = 0 for r.
-11, -2, 4, 5
Let -6450*z**2 + 13565*z - 1330 = 0. Calculate z.
133/1290, 2
Determine b so that -5*b**4 - 44890*b**3 + 269495*b**2 - 224600*b = 0.
-8984, 0, 1, 5
Let -5*i**5 + 12660*i**4 - 8013760*i**3 - 50640*i**2 + 32055120*i = 0. What is i?
-2, 0, 2, 1266
Factor 2*t**3/9 + 13852*t**2/9 + 23984738*t/9.
2*t*(t + 3463)**2/9
Factor -2*p**3 - 996*p**2 - 24882*p - 159536.
-2*(p + 13)**2*(p + 472)
Factor -s**2 + 191856*s.
-s*(s - 191856)
Solve 2*v**3 + 25886*v**2 - 51786*v - 77670 = 0.
-12945, -1, 3
Factor w**2/2 + 1535*w - 9219/2.
(w - 3)*(w + 3073)/2
Find q such that 22*q**5 + 148*q**4 - 192*q**3 - 148*q**2 + 170*q = 0.
-85/11, -1, 0, 1
Let 7*w**3/5 + 346*w**2/5 - 203*w/5 - 30 = 0. 