273565
Suppose 2*x**2/5 + 4498*x + 157332/5 = 0. What is x?
-11238, -7
Determine b, given that -b**5/5 + 22*b**4/5 - 168*b**3/5 + 112*b**2 - 848*b/5 + 96 = 0.
2, 6, 10
Solve 2*r**5 - 54*r**4 + 464*r**3 - 1752*r**2 + 3008*r - 1920 = 0 for r.
2, 4, 15
Let -3*z**2 + 19869*z - 277578 = 0. What is z?
14, 6609
Factor x**4/3 + 325*x**3/3 + 322*x**2.
x**2*(x + 3)*(x + 322)/3
Find o such that -2*o**3/7 - 2048*o**2/7 - 6126*o/7 = 0.
-1021, -3, 0
Factor -5*c**3 - 526*c**2 - 3075*c - 594.
-(c + 6)*(c + 99)*(5*c + 1)
Find b, given that -5*b**3 - 240*b**2 + 1620*b = 0.
-54, 0, 6
Factor f**2/2 - 7065*f/2 - 77957.
(f - 7087)*(f + 22)/2
Solve -g**2/4 + 5195*g/4 = 0.
0, 5195
Factor 3*h**2 + 876006*h + 63948876003.
3*(h + 146001)**2
Solve 4*k**4 + 120*k**3 - 5284*k**2 - 5400*k = 0.
-54, -1, 0, 25
Solve -2*l**2 - 169932*l - 3609610578 = 0.
-42483
Let -2*g**3 + 9342*g**2 - 10913790*g + 10904450 = 0. What is g?
1, 2335
Factor -23*b**2/5 + 209*b/5 - 336/5.
-(b - 7)*(23*b - 48)/5
Let -4*i**3 - 4312*i**2 - 474240*i - 13795200 = 0. What is i?
-958, -60
Find b such that 4*b**4 + 192*b**3 + 2384*b**2 + 4032*b = 0.
-28, -18, -2, 0
Factor -2*l**2/9 + 1070*l/9 - 472.
-2*(l - 531)*(l - 4)/9
Determine i so that 5*i**3/4 + 2755*i**2/2 + 10915*i - 27350 = 0.
-1094, -10, 2
Let 16*g**2 + 28692*g + 7172 = 0. What is g?
-1793, -1/4
Factor -l**3/2 - 35*l**2/2 - 271*l/2 - 525/2.
-(l + 3)*(l + 7)*(l + 25)/2
Find a, given that -a**3 - 15*a**2 - 12*a + 28 = 0.
-14, -2, 1
Suppose -3*q**3 + 246*q**2 + 3705*q = 0. What is q?
-13, 0, 95
Solve -9*l**3/4 + 13*l**2/4 + 3157*l/2 - 702 = 0.
-26, 4/9, 27
Factor -4*n**2 - 1092312*n - 74571594084.
-4*(n + 136539)**2
Factor -4*n**2/5 - 244374*n/25 + 73314/25.
-2*(n + 12219)*(10*n - 3)/25
Suppose 4*x**2 - 6488*x - 6492 = 0. What is x?
-1, 1623
Factor r**4/2 - 3970*r**3 - 63616*r**2 - 254592*r.
r*(r - 7956)*(r + 8)**2/2
Let -2*u**3/3 + 1748*u**2/3 - 7462*u = 0. What is u?
0, 13, 861
Factor -2*o**2/9 + 455864*o/9 - 25976498312/9.
-2*(o - 113966)**2/9
Let 2*q**3/7 - 1716*q**2/7 - 1718*q/7 = 0. Calculate q.
-1, 0, 859
Determine f, given that f**4 + 5099*f**3 + 5094*f**2 - 20396*f - 20392 = 0.
-5098, -2, -1, 2
Let 4*z**2 - 64152*z - 192492 = 0. What is z?
-3, 16041
Determine p so that 3*p**4 + 1347*p**3 + 55140*p**2 + 242400*p = 0.
-404, -40, -5, 0
Let h**2 - 18*h + 17 = 0. What is h?
1, 17
Determine g so that 3*g**5 + 213*g**4 - 225*g**3 - 645*g**2 + 222*g + 432 = 0.
-72, -1, 1, 2
Suppose -3*y**4/4 - 111*y**3/2 + 1566*y**2 + 259311*y/2 - 524661/4 = 0. Calculate y.
-61, 1, 47
Let -44*r**3/7 - 11932*r**2/7 - 14048*r/7 - 2160/7 = 0. Calculate r.
-270, -1, -2/11
Suppose -2*j**5 - 558*j**4 + 2*j**3 + 558*j**2 = 0. Calculate j.
-279, -1, 0, 1
Find l such that -3*l**3/8 + 3*l**2/2 + 153*l/8 - 81/4 = 0.
-6, 1, 9
Factor -6693245*z**4/4 - 26778765*z**3/2 - 92565*z**2/4 - 10*z.
-5*z*(z + 8)*(1157*z + 1)**2/4
Factor t**3/3 - 1334*t**2/3 + 197315*t - 29118300.
(t - 465)**2*(t - 404)/3
Solve -70*x**4 + 202*x**3 + 32*x**2 - 24*x = 0.
-2/5, 0, 2/7, 3
Suppose g**2/2 - 1279*g/2 - 9705 = 0. What is g?
-15, 1294
Suppose -141*r**3/2 - 2154*r**2 + 6465*r/2 - 1008 = 0. Calculate r.
-32, 21/47, 1
Factor -4*g**4/5 - 68*g**3/5 - 348*g**2/5 - 108*g.
-4*g*(g + 3)*(g + 5)*(g + 9)/5
Factor 2*t**2 - 238*t + 6768.
2*(t - 72)*(t - 47)
Factor 5*m**2 + 13635*m - 123120.
5*(m - 9)*(m + 2736)
Factor 230*x**3/9 - 3352*x**2/9 + 6014*x/9 - 964/3.
2*(x - 1)**2*(115*x - 1446)/9
Find g such that 5*g**3 + 380*g**2 - 795*g - 1170 = 0.
-78, -1, 3
Find b such that 10655*b**2 + 80*b = 0.
-16/2131, 0
Factor 2*a**3 + 934*a**2 + 135632*a + 5762400.
2*(a + 75)*(a + 196)**2
Suppose -j**3 + 311*j**2 + 314*j - 624 = 0. Calculate j.
-2, 1, 312
Let -w**5/2 - 105*w**4/2 - 2339*w**3/2 + 29945*w**2/2 + 198000*w - 211750 = 0. What is w?
-55, -10, 1, 14
Find q such that -2*q**4/7 - 118812*q**3/7 - 118810*q**2/7 = 0.
-59405, -1, 0
Factor 3*a**3 + 44628*a**2 - 267849*a + 401814.
3*(a - 3)**2*(a + 14882)
Determine t, given that -3*t**5/4 + 8565*t**4/4 - 17079*t**3/2 - 77139*t**2/2 + 924129*t/4 - 1154655/4 = 0.
-5, 3, 2851
Factor 4*g**3 + 46776*g**2 + 136749636*g.
4*g*(g + 5847)**2
Solve 17*c**4/4 - 2139*c**3/4 + 18235*c**2 - 84900*c - 126000 = 0.
-20/17, 7, 60
Determine j, given that -16*j**3/11 - 178*j**2/11 + 390*j/11 = 0.
-13, 0, 15/8
Let 15*l**2/7 + 72543*l/7 + 14508/7 = 0. Calculate l.
-4836, -1/5
Solve 5*x**2 - 1345170*x + 90474116445 = 0 for x.
134517
Factor 7*m**2/9 - 470*m/9 - 136/3.
(m - 68)*(7*m + 6)/9
Determine l so that -l**3 - 101*l**2 - 1014*l - 2160 = 0.
-90, -8, -3
Suppose -5*r**3 - 603135*r**2 - 1206255*r - 603125 = 0. Calculate r.
-120625, -1
Solve n**5 + 55*n**4 - 6354*n**3 - 88030*n**2 - 379375*n - 521625 = 0 for n.
-107, -5, -3, 65
Let -3*q**3/2 - 3046*q**2 + 244221*q/2 - 40365 = 0. What is q?
-2070, 1/3, 39
Solve -j**3/2 - 87953*j**2/2 - 175903*j/2 - 87951/2 = 0 for j.
-87951, -1
Find v such that 3*v**5 + 210*v**4 + 393*v**3 - 1038*v**2 - 1224*v = 0.
-68, -3, -1, 0, 2
Factor 4*j**2/5 + 225896*j/5 + 677652/5.
4*(j + 3)*(j + 56471)/5
Factor -k**2/7 - 22223*k/7 - 44442/7.
-(k + 2)*(k + 22221)/7
Factor 2234*i**2/5 - 11171*i/5 + 1.
(i - 5)*(2234*i - 1)/5
Factor w**2/7 + 185*w/7 + 724/7.
(w + 4)*(w + 181)/7
Solve -4*t**3/9 + 340*t**2/9 + 273508*t/9 - 273844/9 = 0 for t.
-223, 1, 307
What is y in 4*y**4 - 356*y**3 + 5160*y**2 - 19296*y + 20736 = 0?
2, 3, 12, 72
Solve a**5/2 + 19*a**4 + 381*a**3/2 - 164*a**2 - 8206*a - 14520 = 0 for a.
-20, -11, -2, 6
Suppose -k**3/2 - 44867*k**2 - 1006478976*k + 2013137424 = 0. Calculate k.
-44868, 2
Determine x so that 5445*x**5 - 4675*x**4 - 29740*x**3 + 21180*x**2 + 32800*x - 8000 = 0.
-2, -1, 2/9, 20/11
Suppose -5*s**3 - 175*s**2 - 1910*s - 6240 = 0. Calculate s.
-16, -13, -6
Factor a**3/5 + 2134*a**2/5 + 12777*a/5 + 19152/5.
(a + 3)**2*(a + 2128)/5
Factor 6*p**2 + 15460*p/3 - 1718/3.
2*(p + 859)*(9*p - 1)/3
Determine u, given that 55*u**4 + 1620*u**3 - 20205*u**2 + 10530*u = 0.
-39, 0, 6/11, 9
Suppose 5*y**3/4 + 3195*y**2/4 + 1595*y/2 = 0. Calculate y.
-638, -1, 0
Solve n**5/3 + 62*n**4/3 - 25*n**3 - 728*n**2/3 + 1748*n/3 - 336 = 0.
-63, -4, 1, 2
Solve -4*a**4 - 656*a**3 + 4972*a**2 + 3166712*a = 0.
-113, 0, 62
Determine j, given that -21*j**4 + 2789568*j**3 - 11158236*j**2/7 + 1594032*j/7 = 0.
0, 2/7, 132836
Let -h**2 + 18517*h = 0. Calculate h.
0, 18517
Find g, given that 2*g**5/9 + 1780*g**4/3 - 5356*g**3/3 - 80224*g**2/9 - 30298*g/3 - 3564 = 0.
-2673, -1, 6
Let j**5/4 - 97*j**4/2 + 3167*j**3 - 146813*j**2/2 + 928131*j/4 + 308655 = 0. What is j?
-1, 5, 57, 76
Factor -a**3/9 + 323*a**2/9 - 316*a/9 - 644/3.
-(a - 322)*(a - 3)*(a + 2)/9
Determine i so that -376*i**2 - 84980*i - 904 = 0.
-226, -1/94
Let -5*l**5 - 55890*l**4 + 391385*l**3 - 1006550*l**2 + 1118460*l - 447400 = 0. What is l?
-11185, 1, 2
Factor 2*u**2/9 - 1558*u/9 + 66332/3.
2*(u - 618)*(u - 161)/9
Factor a**4 - 58*a**3 + 896*a**2 - 1622*a + 783.
(a - 29)*(a - 27)*(a - 1)**2
Let 2*h**4/9 + 2297740*h**3/9 + 219982946902*h**2/3 - 1319904574640*h/9 + 659953436192/9 = 0. Calculate h.
-574436, 1
Factor -125*l**4 + 2127*l**3 - 34*l**2.
-l**2*(l - 17)*(125*l - 2)
Determine n so that n**3 - 18310*n**2 - 18311*n = 0.
-1, 0, 18311
Determine v so that v**3 + 43*v**2 + 40*v - 84 = 0.
-42, -2, 1
Factor 860*n**4 + 905*n**3 + 45*n**2.
5*n**2*(n + 1)*(172*n + 9)
Factor z**3/7 + 622*z**2/7 + 96305*z/7 + 4413344/7.
(z + 103)**2*(z + 416)/7
Factor 5*o**3/3 - 5210*o**2/3 - 36665*o/3 - 52450/3.
5*(o - 1049)*(o + 2)*(o + 5)/3
Factor p**3 - 1330*p**2 - 48852*p - 442584.
(p - 1366)*(p + 18)**2
Solve j**2/3 - 146*j/3 + 616 = 0.
14, 132
Suppose 2*o**5/15 + 40*o**4/3 - 6712*o**3/15 + 19072*o**2/5 - 49152*o/5 = 0. Calculate o.
-128, 0, 6, 16
What is o in o**3 + 1289*o**2 + 52815*o + 549927 = 0?
-1247, -21
Solve r**5/7 + 18559*r**4/7 + 18553*r**3/7 - 92787*r**2/7 + 55674*r/7 = 0 for r.
-18558, -3, 0, 1
Solve n**4 - 269*n**3 + 6775*n**2 - 6507*n = 0.
0, 1, 27, 241
Factor -15*b**3 + 125*b**2 + 935*b - 325.
-5*(b - 13)*(b + 5)*(3*b - 1)
Determine h, given that 33*h**4 - 195*h**3 - 1350*h**2 = 0.
-45/11, 0, 10
Suppose -147*k**3 - 18879*k**2 - 534672*k + 4718196 = 0. Calculate k.
-474/7, 7
Suppose -4*p**5/7 + 148*p**4/7 - 1688*p**3/7 + 6464*p**2/7 - 7296*p/7 = 0. Calculate p.
0, 2, 4, 12, 19
Find p, given that 176*p**2/3 + 56492*