t -2*z**2/3 + 1374422*z/3 + 916284 = 0.
-2, 687213
Solve -7*r**5/9 + 1780*r**4/9 + 5057*r**3/9 - 44206*r**2/9 - 131744*r/9 + 41120/9 = 0.
-4, 2/7, 5, 257
Determine s so that s**3/6 + 445*s**2/3 - 58847*s/6 + 28084 = 0.
-952, 3, 59
Factor h**2 + 196440*h + 9647168400.
(h + 98220)**2
Factor -4*n**2/3 - 39644*n - 118928/3.
-4*(n + 1)*(n + 29732)/3
What is o in -o**5/3 + 52*o**4/3 - 653*o**3/3 - 370*o**2/3 + 1644*o - 1320 = 0?
-3, 1, 2, 22, 30
Suppose -246*j**4/5 - 28048*j**3/5 - 55806*j**2/5 - 28452*j/5 - 448/5 = 0. What is j?
-112, -1, -2/123
Suppose 3*h**2/5 + 4143*h = 0. Calculate h.
-6905, 0
Determine i so that -i**2 + 52721*i - 52720 = 0.
1, 52720
Find m such that 2*m**5 + 270*m**4 + 766*m**3 - 3462*m**2 - 3960*m = 0.
-132, -5, -1, 0, 3
Factor -h**3/5 - 24864*h**2/5 + h/5 + 24864/5.
-(h - 1)*(h + 1)*(h + 24864)/5
Determine m, given that 4*m**3 - 1016*m**2 - 4116*m - 3096 = 0.
-3, -1, 258
Factor -i**2 + 1811*i + 23712.
-(i - 1824)*(i + 13)
Let 2*f**2/3 + 8236*f/3 + 5488 = 0. Calculate f.
-4116, -2
Solve 3*d**4 - 9*d**3 - 27*d**2 - 15*d = 0.
-1, 0, 5
Determine m so that 44*m**4/9 + 1592*m**3/9 - 5036*m**2/9 - 7832*m/9 - 416/3 = 0.
-39, -1, -2/11, 4
Factor -3*v**4 - 3294*v**3 - 6576*v**2.
-3*v**2*(v + 2)*(v + 1096)
Factor -4*g**2 + 2608*g - 2604.
-4*(g - 651)*(g - 1)
Determine g so that g**4/2 - 75*g**3/2 - 861*g**2/2 + 109835*g/2 - 54450 = 0.
-36, 1, 55
Factor 2*x**3/19 + 1878*x**2/19 - 1884*x/19 - 3760/19.
2*(x - 2)*(x + 1)*(x + 940)/19
Factor z**2/5 - 2863*z/5 - 1146.
(z - 2865)*(z + 2)/5
Find h, given that 5*h**5 + 160*h**4 + 1545*h**3 + 4590*h**2 = 0.
-17, -9, -6, 0
Factor -5*p**4 + 197300*p**3 - 1946364500*p**2.
-5*p**2*(p - 19730)**2
Let -13*p**2/4 - 523*p/4 - 363 = 0. What is p?
-484/13, -3
Factor 3*q**2/7 + 101028*q/7.
3*q*(q + 33676)/7
Factor -3*a**3 + 921*a**2 - 76560*a + 1927572.
-3*(a - 191)*(a - 58)**2
Factor -48*m**3 + 165000*m**2 + 412725*m + 258000.
-3*(m - 3440)*(4*m + 5)**2
Solve 2*f**3/5 - 297854*f**2/5 + 1191392*f/5 - 1191384/5 = 0 for f.
2, 148923
Find n such that -5*n**4/4 - 7445*n**3/2 + 74555*n**2/4 - 14915*n = 0.
-2983, 0, 1, 4
Solve 3*m**5/5 - 456*m**4/5 + 22413*m**3/5 - 71352*m**2 + 66960*m = 0.
0, 1, 31, 60
Factor a**2/4 - 1929*a/4 - 54999.
(a - 2037)*(a + 108)/4
Factor -q**2/4 - 13329*q/4 - 3332.
-(q + 1)*(q + 13328)/4
What is w in -2*w**5/3 + 206*w**4/3 - 3280*w**3/3 - 103328*w**2/3 - 186880*w - 153600 = 0?
-8, -1, 60
What is m in 12*m**4 + 968*m**3 - 1308*m**2 + 328*m = 0?
-82, 0, 1/3, 1
Suppose -5*o**5 - 4170*o**4 - 881865*o**3 - 5179160*o**2 - 7729380*o - 3427920 = 0. What is o?
-414, -4, -1
Factor -y**2/11 + 38835*y/11 - 116496/11.
-(y - 38832)*(y - 3)/11
Suppose v**4 - 1695*v**3 - 6793*v**2 - 5097*v = 0. Calculate v.
-3, -1, 0, 1699
Factor -5*t**4 - 510*t**3 - 1820*t**2 + 13560*t - 15680.
-5*(t - 2)**2*(t + 8)*(t + 98)
Let -g**3/4 - 437*g**2/2 - 90825*g/4 + 12127500 = 0. What is g?
-525, 176
Factor -2*w**2/21 - 9964*w/7 + 29894/21.
-2*(w - 1)*(w + 14947)/21
Factor -2*l**3/5 + 282*l**2/5 - 3892*l/5 + 14112/5.
-2*(l - 126)*(l - 8)*(l - 7)/5
Factor 5*v**3 - 1795*v**2 + 8820*v + 10620.
5*(v - 354)*(v - 6)*(v + 1)
Let 2*s**3 + 8076*s**2 + 16138*s - 24216 = 0. What is s?
-4036, -3, 1
Find p such that -5*p**5 + 745*p**4 + 3075*p**3 - 2245*p**2 - 7690*p + 6120 = 0.
-4, -2, 1, 153
Let -2*u**4/3 + 2052*u**3 - 4699954*u**2/3 - 19030280*u - 50923200 = 0. Calculate u.
-8, -4, 1545
Determine f so that 15*f**4 + 321*f**3 - 5964*f**2 - 63636*f - 24480 = 0.
-30, -8, -2/5, 17
Solve 2*f**4/9 + 134*f**3 - 14*f**2/9 - 2810*f/3 + 804 = 0.
-603, -3, 1, 2
Factor 5*d**2 + 765*d + 28980.
5*(d + 69)*(d + 84)
Solve 3*o**3 - 21732*o**2 + 39334911*o + 78756774 = 0 for o.
-2, 3623
Suppose 3*o**5 - 261*o**4 - 267*o**3 + 261*o**2 + 264*o = 0. What is o?
-1, 0, 1, 88
Suppose 2*q**4/5 + 252*q**3/5 + 10584*q**2/5 + 148176*q/5 = 0. What is q?
-42, 0
Let 3*y**3/5 + 19431*y**2/5 + 38853*y/5 + 3885 = 0. What is y?
-6475, -1
Factor 4*r**2 - 14272*r + 717468.
4*(r - 3517)*(r - 51)
Determine r, given that 508*r**5/5 + 3553*r**4/5 - 20341*r**3/5 - 10136*r**2 + 60*r = 0.
-10, -2, 0, 3/508, 5
Factor s**3 + 480*s**2 + 3792*s + 7552.
(s + 4)**2*(s + 472)
Solve -2*i**5 + 70*i**4 - 526*i**3 - 70*i**2 + 528*i = 0.
-1, 0, 1, 11, 24
Factor 2*f**3/11 - 178*f**2/11 + 172*f/11 + 32.
2*(f - 88)*(f - 2)*(f + 1)/11
Factor m**3/7 + 389*m**2/7.
m**2*(m + 389)/7
Factor 38*u**2/3 + 90264*u + 28504/3.
2*(u + 7126)*(19*u + 2)/3
Factor 2*b**5/15 - 24*b**4/5 + 136*b**3/15.
2*b**3*(b - 34)*(b - 2)/15
Factor d**4/4 - 39*d**3 + 675*d**2/2 - 999*d + 3969/4.
(d - 147)*(d - 3)**3/4
Find c, given that c**3 + 387*c**2 + 37635*c + 37249 = 0.
-193, -1
Solve 7*z**3/5 + 9683*z**2 + 83725096*z/5 + 35873292/5 = 0.
-3458, -3/7
Find j such that -3*j**5/7 + 6*j**4/7 + 297*j**3/7 - 816*j**2/7 - 1644*j/7 + 2160/7 = 0.
-10, -2, 1, 4, 9
Factor 4*u**3/5 + 44*u**2 + 768*u/5 - 27648/5.
4*(u - 9)*(u + 16)*(u + 48)/5
What is o in 12*o**4/7 - 38320*o**3/7 + 1339132*o**2/7 - 63160*o = 0?
0, 1/3, 35, 3158
Determine h, given that 895*h**4 - 65395*h**3 + 1228740*h**2 - 1242000*h + 77760 = 0.
12/179, 1, 36
Factor -t**4 + 155927*t**3 - 1403289*t**2 + 4209813*t - 4209786.
-(t - 155918)*(t - 3)**3
Find a, given that 18*a**4/7 - 10526*a**3/7 - 1059390*a**2/7 - 24838650*a/7 - 5467500/7 = 0.
-45, -2/9, 675
Find j such that -25*j**4 - 35*j**3 + 29015*j**2 + 98235*j + 34650 = 0.
-33, -3, -2/5, 35
Find p such that 7*p**5/8 - 443*p**4/8 + 231*p**3/2 + 797*p**2/2 - 122*p = 0.
-2, 0, 2/7, 4, 61
Factor k**3 - 50641*k**2 - 101285*k - 50643.
(k - 50643)*(k + 1)**2
Factor v**2/3 + 2182*v/3 + 26455.
(v + 37)*(v + 2145)/3
Determine j so that j**5/4 - 47*j**4/4 + 150*j**3 - 190*j**2 - 1804*j - 1452 = 0.
-2, -1, 6, 22
Factor -4*f**2/7 + 8380*f/7 + 203424/7.
-4*(f - 2119)*(f + 24)/7
Factor 22*k**2 + 4846*k + 6132.
2*(k + 219)*(11*k + 14)
Find t, given that 2*t**4 - 752*t**3 - 24*t**2 + 9056*t - 12032 = 0.
-4, 2, 376
Factor -3913*z**2/2 + z/2.
-z*(3913*z - 1)/2
Factor -4*y**3/7 + 108*y**2/7 + 7792*y/7 + 7680/7.
-4*(y - 60)*(y + 1)*(y + 32)/7
Find y such that 8*y**5/7 + 1814*y**4/7 + 1348*y**3/7 - 1814*y**2/7 - 1356*y/7 = 0.
-226, -1, -3/4, 0, 1
Find z, given that 5*z**5 - 36805*z**4 + 73590*z**3 + 10*z**2 - 73595*z + 36795 = 0.
-1, 1, 7359
Suppose 2*y**4/3 - 3746*y**3/3 + 1752190*y**2/3 + 1755938*y/3 = 0. What is y?
-1, 0, 937
Factor s**5/3 - 13*s**4/3 + s**3 + 97*s**2/3 + 128*s/3 + 16.
(s - 12)*(s - 4)*(s + 1)**3/3
What is v in -v**4/4 - 431*v**3/4 + 8777*v**2/4 + 14475483*v/4 + 3616569 = 0?
-297, -1, 164
Find r, given that -r**2/5 + 13106*r/5 - 42941809/5 = 0.
6553
Factor -3*f**3 + 1107*f**2 - 106920*f + 3097116.
-3*(f - 237)*(f - 66)**2
Let -7*d**4 - 1201*d**3 - 3057*d**2 - 2539*d - 676 = 0. Calculate d.
-169, -1, -4/7
Solve -3*i**3 + 765*i**2 - 5976*i + 11856 = 0.
4, 247
Find q such that -6*q**5/11 + 791564*q**4/11 - 26106968064*q**3/11 - 17404997184*q**2/11 = 0.
-2/3, 0, 65964
Factor 2*a**3/7 + 18162*a**2/7 + 41368158*a/7 + 616442670/7.
2*(a + 15)*(a + 4533)**2/7
Factor 4*o**2 + 30244*o - 90768.
4*(o - 3)*(o + 7564)
Factor -c**2 + 9254*c + 18512.
-(c - 9256)*(c + 2)
Suppose -2*p**2 - 136*p - 1664 = 0. What is p?
-52, -16
Factor -4*p**3 - 504876*p**2.
-4*p**2*(p + 126219)
Suppose v**3/5 + 86*v**2 - 867*v/5 - 1296/5 = 0. What is v?
-432, -1, 3
Determine k, given that 4*k**5/9 - 5458*k**4 + 50519320*k**3/3 - 4588666700*k**2/9 + 12006837500*k/3 - 1875781250 = 0.
1/2, 15, 6125
Solve 44*p**5 - 324*p**4 + 332*p**3 + 228*p**2 - 376*p + 96 = 0.
-1, 4/11, 1, 6
Factor -7*q**2/5 - 317*q - 3808/5.
-(q + 224)*(7*q + 17)/5
Let -5*s**5 + 3705*s**4 + 20*s**3 - 14820*s**2 = 0. Calculate s.
-2, 0, 2, 741
Factor 2*c**3/7 - 8*c**2/7 - 232*c/7 + 480/7.
2*(c - 12)*(c - 2)*(c + 10)/7
Determine x, given that x**2/2 - 78*x - 805/2 = 0.
-5, 161
Suppose -5*g**4/7 + 11282*g**3/7 + 595313*g**2/7 + 348610*g/7 - 235416/7 = 0. What is g?
-51, -1, 2/5, 2308
What is x in -x**4/2 + 485*x**3 + x**2/2 - 485*x = 0?
-1, 0, 1, 970
Suppose -3*u**2 + 8121*u + 464184 = 0. What is u?
-56, 2763
Find j such that -j**5/6 + 47*j**4/6 - 569*j**3/6 + 253*j**2/6 + 529*j = 0.
-2, 0, 3, 23
Determine q, given that 2*q**4/3 + 640*q**3 + 458876*q**2/3 - 307840*q + 462722/3 = 0.
-481, 1
Suppose -2*f**4/21 - 62*f**3/7 - 1454*f**2/7 - 3814*f/21 + 2788/7 = 0. Calculate f.
-51, 