*l - 67872 = 0.
-7, -2, -1, 1616
Let 45*v**5 + 83244*v**4 + 38492025*v**3 - 5133750*v**2 = 0. What is v?
-925, 0, 2/15
Factor 9*l**2/2 + 161747*l - 35944.
(l + 35944)*(9*l - 2)/2
Factor 6845*w**4 - 906130*w**3 + 36490385*w**2 - 430387260*w + 1544227380.
5*(w - 58)**2*(37*w - 303)**2
Determine g so that g**2/5 - 447*g/5 + 36146/5 = 0.
106, 341
Solve -5*y**3 + 331345*y**2 - 662675*y + 331335 = 0.
1, 66267
Factor -m**3 + 188*m**2 + 191*m - 378.
-(m - 189)*(m - 1)*(m + 2)
Factor -3*d**3/2 + 60*d**2 - 114*d.
-3*d*(d - 38)*(d - 2)/2
Suppose 5*f**5 - 1080*f**4 + 9350*f**3 - 7200*f**2 - 9355*f + 8280 = 0. What is f?
-1, 1, 8, 207
Solve -z**4/5 - 83*z**3 + 11441*z**2/5 - 2205*z = 0.
-441, 0, 1, 25
Factor -h**3/11 + 129*h**2/11 - 3519*h/11 - 11745/11.
-(h - 87)*(h - 45)*(h + 3)/11
Factor -5*v**3 + 20455*v**2 - 244920*v + 734220.
-5*(v - 4079)*(v - 6)**2
Factor -5*q**3 + 90*q**2 + 1475*q + 3480.
-5*(q - 29)*(q + 3)*(q + 8)
Suppose -3*v**3 - 109*v**2/2 - 395*v/2 = 0. Calculate v.
-79/6, -5, 0
Factor -t**2 + 1399*t - 41070.
-(t - 1369)*(t - 30)
Factor 6*j**3/7 - 3324*j**2/7 + 191094*j/7 - 187776/7.
6*(j - 489)*(j - 64)*(j - 1)/7
Let -3*d**2/8 - 5961*d/8 - 50235/4 = 0. What is d?
-1970, -17
Factor 5*f**3 - 36620*f**2 - 36625*f.
5*f*(f - 7325)*(f + 1)
Factor -5*y**5/3 - 1760*y**4 - 42040*y**3/3 - 125920*y**2/3 - 55920*y - 83840/3.
-5*(y + 2)**4*(y + 1048)/3
Determine i, given that -4*i**5 + 251816*i**4 - 1259016*i**3 + 2266192*i**2 - 1762580*i + 503592 = 0.
1, 2, 62949
Suppose 52*t**2 + 18188*t - 369000 = 0. What is t?
-369, 250/13
Factor 3*b**3 - 13953*b**2 + 83637*b - 125415.
3*(b - 4645)*(b - 3)**2
Factor -4*x**2 - 7694*x + 11550.
-2*(x + 1925)*(2*x - 3)
Solve -2*q**4/7 + 11588*q**3/7 + 279366*q**2/7 - 84784*q + 302536/7 = 0.
-26, 1, 5818
Factor -y**2 - 792*y - 1580.
-(y + 2)*(y + 790)
Determine p so that p**3 - 81770*p**2 + 1671664992*p - 3343002912 = 0.
2, 40884
Find n, given that n**3 + 2141*n**2 - 8612*n - 68640 = 0.
-2145, -4, 8
Suppose i**3 + 679*i**2 + 2688*i - 8100 = 0. What is i?
-675, -6, 2
Factor 2*h**4 + 4206*h**3 + 4204*h**2.
2*h**2*(h + 1)*(h + 2102)
Factor -35*y**3 + 74810*y**2 - 32055*y.
-5*y*(y - 2137)*(7*y - 3)
Let -2*q**2/7 - 1146*q/7 - 161200/7 = 0. What is q?
-325, -248
Determine l, given that 18*l**3 - 10245*l**2 + 1707*l = 0.
0, 1/6, 569
Solve -12*r**5 - 80*r**4 + 388*r**3 + 2504*r**2 + 3584*r + 1536 = 0 for r.
-8, -8/3, -1, 6
Factor 3*d**4 - 843*d**3 + 4116*d**2 + 6768*d - 39744.
3*(d - 276)*(d - 4)**2*(d + 3)
Find j, given that -4*j**4 + 36*j**3 - 64*j**2 - 144*j + 320 = 0.
-2, 2, 4, 5
Factor 2*r**3/9 + 5878*r**2/9 - 1960*r/3.
2*r*(r - 1)*(r + 2940)/9
Solve 3*b**2 - 38604*b + 124189068 = 0.
6434
Factor 40*r**2 - 38356*r - 3836.
4*(r - 959)*(10*r + 1)
What is h in -3*h**3 - 3603*h**2 - 1061712*h + 12118788 = 0?
-606, 11
Determine k, given that 14*k**2 + 35374*k + 60600 = 0.
-2525, -12/7
Solve -2*h**5/15 + 16*h**4/3 - 68*h**3/15 - 128*h**2/5 - 78*h/5 = 0.
-1, 0, 3, 39
Factor -2*l**4 + 3664*l**3 - 10980*l**2 + 10976*l - 3658.
-2*(l - 1829)*(l - 1)**3
Factor -h**3/5 + 278*h**2/5 - 1641*h/5 + 2448/5.
-(h - 272)*(h - 3)**2/5
Suppose 5*g**5 + 95*g**4 - 165*g**3 - 2995*g**2 + 2960*g + 5700 = 0. Calculate g.
-19, -6, -1, 2, 5
Factor 5*b**4 + 6120*b**3 + 1944720*b**2 + 44064000*b + 259200000.
5*(b + 12)**2*(b + 600)**2
Let s**3/2 + 307*s**2/2 - 1418*s + 1264 = 0. What is s?
-316, 1, 8
Suppose n**2 + 237*n + 12986 = 0. Calculate n.
-151, -86
What is j in 57*j**5 + 453*j**4 - 195*j**3 - 1245*j**2 + 978*j - 48 = 0?
-8, -2, 1/19, 1
Find a, given that 3*a**4/2 + 441*a**3/2 - 2094*a**2 + 1872*a = 0.
-156, 0, 1, 8
Determine j so that -31*j**2/8 - 1545*j/8 - 757/4 = 0.
-1514/31, -1
Suppose 4*p**3 - 158852*p**2 + 158848*p = 0. What is p?
0, 1, 39712
Suppose -h**2/3 - 38864*h/3 = 0. What is h?
-38864, 0
Factor -r**2 + 20610*r.
-r*(r - 20610)
Let -25*h**2 - 304*h + 2057 = 0. Calculate h.
-17, 121/25
Find t such that -2*t**5 - 694*t**4 + 4220*t**3 - 5660*t**2 - 4218*t + 6354 = 0.
-353, -1, 1, 3
Factor -3*a**5/8 + 69*a**4/2 - 2379*a**3/2 + 18216*a**2 - 104544*a.
-3*a*(a - 24)**2*(a - 22)**2/8
Determine h, given that 15*h**5 - 340*h**4 - 135*h**3 + 460*h**2 = 0.
-4/3, 0, 1, 23
Determine h, given that 2*h**4/19 - 54*h**3/19 - 126*h**2/19 + 278*h/19 + 348/19 = 0.
-3, -1, 2, 29
Determine q so that -q**2 - 42100*q - 443102500 = 0.
-21050
Find z, given that -4*z**5 - 2964*z**4 + 24*z**3 + 17816*z**2 + 23724*z + 8892 = 0.
-741, -1, 3
Factor -3*m**2 + 1656*m - 122496.
-3*(m - 464)*(m - 88)
Determine u, given that -u**2/4 - 57*u/4 - 198 = 0.
-33, -24
Factor -405*g**2 - 1065780*g - 701164820.
-5*(9*g + 11842)**2
Factor -5*l**2 + 7042170*l - 2479607915445.
-5*(l - 704217)**2
What is o in 4*o**5 + 48*o**4 - 103552*o**3 - 9666072*o**2 - 245153412*o + 254922984 = 0?
-69, 1, 194
What is q in 2*q**4/3 - 221*q**3 + 13285*q**2/3 + 4650*q = 0?
-1, 0, 45/2, 310
Solve s**2/2 + 1297*s/2 + 6435 = 0 for s.
-1287, -10
Factor 2*r**4 - 124*r**3 - 6*r**2 + 376*r - 248.
2*(r - 62)*(r - 1)**2*(r + 2)
Let -108045*v**4 + 15201515*v**3 + 4626890*v**2 + 301700*v + 5640 = 0. What is v?
-2/9, -2/49, 141
Suppose -3*b**5/4 + 555*b**4/2 - 137379*b**3/4 + 1444116*b**2 - 2786304*b + 1376256 = 0. What is b?
1, 112, 128
Find a such that -2*a**4 - 1064*a**3 + 551608*a**2 + 184369920*a - 60051916800 = 0.
-570, 304
Determine d so that 7*d**5 - 25*d**4 - 124*d**3 + 64*d**2 + 384*d + 144 = 0.
-2, -3/7, 2, 6
What is f in 4*f**4 - 196*f**3 - 5172*f**2 + 125476*f + 2385488 = 0?
-19, 28, 59
Factor -2*l**2 - 3518*l - 10536.
-2*(l + 3)*(l + 1756)
Factor -w**3/8 + 711*w**2/8 - 16275*w + 889886.
-(w - 463)*(w - 124)**2/8
Find g such that -14*g**4/15 - 278*g**3/15 + 578*g**2/5 - 1642*g/15 + 40/3 = 0.
-25, 1/7, 1, 4
Solve 8*t**3/9 - 190*t**2/9 - 3088*t/3 - 256 = 0 for t.
-24, -1/4, 48
Factor f**4/7 - f**3 - 145*f**2/7 - 425*f/7.
f*(f - 17)*(f + 5)**2/7
Find o, given that 4*o**2 - 12*o - 9016 = 0.
-46, 49
Factor -3*s**2/5 + 94782*s/5 - 75816.
-3*(s - 31590)*(s - 4)/5
Suppose 10*q**5 + 760*q**4 - 7818*q**3/5 - 1304*q**2/5 + 7768*q/5 - 2496/5 = 0. Calculate q.
-78, -1, 2/5, 1, 8/5
Find d, given that -2*d**5/13 - 114*d**4 - 4434*d**3/13 - 4430*d**2/13 - 1476*d/13 = 0.
-738, -1, 0
Let -2*p**2/7 - 5892*p/7 - 105408/7 = 0. What is p?
-2928, -18
What is g in 2*g**2/5 - 704*g + 7032/5 = 0?
2, 1758
Suppose -2*a**2/9 + 136*a/9 + 3520/9 = 0. Calculate a.
-20, 88
Find p, given that -7*p**2/5 - 1843*p/5 = 0.
-1843/7, 0
Let p**4 - 951*p**3 + 72939*p**2 - 1460789*p = 0. Calculate p.
0, 41, 869
Find k such that k**2 - 128131*k/4 - 32033/4 = 0.
-1/4, 32033
Factor -m**2/4 - 7199*m/4 + 184875/2.
-(m - 51)*(m + 7250)/4
Solve -5*u**2 - 164400*u - 1351368000 = 0.
-16440
Suppose -30*z**3 - 1738*z**2 - 24034*z + 1610 = 0. What is z?
-35, -23, 1/15
Suppose -2*g**4/17 - 64*g**3/17 + 1986*g**2/17 - 12520*g/17 + 10600/17 = 0. What is g?
-53, 1, 10
Suppose 3*z**2 + 56907*z + 511920 = 0. Calculate z.
-18960, -9
Suppose -k**2/2 + 1576*k + 41145/2 = 0. Calculate k.
-13, 3165
Find v, given that 2*v**2/5 + 19556*v/5 + 47804642/5 = 0.
-4889
Find g, given that -g**3 - 8945*g**2 - 35768*g - 35764 = 0.
-8941, -2
Factor -k**3/2 + 89*k**2 + 3399*k/2 - 8190.
-(k - 195)*(k - 4)*(k + 21)/2
Factor g**2/7 - 19*g + 516/7.
(g - 129)*(g - 4)/7
Factor 2*w**2 + 100376*w - 100378.
2*(w - 1)*(w + 50189)
Factor -2*h**3/3 + 206*h**2/3 + 16994*h/3 + 270802/3.
-2*(h - 161)*(h + 29)**2/3
What is x in x**2/6 - 1061*x/2 + 1590 = 0?
3, 3180
Determine g so that -2*g**4/9 + 31694*g**3/9 - 125547856*g**2/9 - 125579552*g/9 = 0.
-1, 0, 7924
Factor 6561*r**4/8 + 1377*r**3/4 - 10079*r**2/8 - 272*r + 512.
(r + 1)**2*(81*r - 64)**2/8
Factor -5*s**3 + 198995*s**2 + 398010*s.
-5*s*(s - 39801)*(s + 2)
Solve -3*u**3/2 - 9231*u**2/2 - 4614*u = 0.
-3076, -1, 0
Factor 13*p**4/3 - 4684*p**3/3 - 38096*p**2/3 - 25536*p.
p*(p + 4)**2*(13*p - 4788)/3
Determine r, given that -4*r**2 - 268*r - 2088 = 0.
-58, -9
Determine z, given that 5*z**2/4 + 335*z/2 - 27555/4 = 0.
-167, 33
What is t in 30*t**3 - 121*t**2/2 - 13199*t + 220 = 0?
-20, 1/60, 22
Factor t**3/3 - 1172*t**2 - 12*t + 42192.
(t - 3516)*(t - 6)*(t + 6)/3
Determine o so that -2*o**4/15 + 18*o**3/5 - 26*o**2 + 338*o/15 = 0.
0, 1, 13
Let -3*m**3 + 479883*m**2 - 19189921296*m - 57574082916 = 0. Calculate m.
-3, 79982
Suppose -o**2/