 -g**2/2 - 449*g - 201601/2.
-(g + 449)**2/2
Solve -4*v**3 + 20*v**2 + 1332*v + 7452 = 0 for v.
-9, 23
Factor 2*z**2/5 - 72*z/5 + 648/5.
2*(z - 18)**2/5
Determine x so that 3*x**2 + 117*x/7 - 54/7 = 0.
-6, 3/7
Factor 3*y**2 - 72*y + 240.
3*(y - 20)*(y - 4)
Find w, given that -6*w**3/11 - 10*w**2/11 = 0.
-5/3, 0
Factor m**2 - 1270*m + 403225.
(m - 635)**2
Find j such that j**3/2 - 11*j**2 - 2*j + 44 = 0.
-2, 2, 22
Factor 98*p**2/23 - 4732*p/23 + 57122/23.
2*(7*p - 169)**2/23
Factor -c**3/8 - 33*c**2/8 - 255*c/8 + 289/8.
-(c - 1)*(c + 17)**2/8
Factor 2*y**4/3 + 16*y**3 + 398*y**2/3 + 416*y + 896/3.
2*(y + 1)*(y + 7)*(y + 8)**2/3
Factor -w**4 - 2956*w**3 - 2178564*w**2 + 8749760*w - 8761600.
-(w - 2)**2*(w + 1480)**2
Factor -d**3/3 + 125*d**2/3 - 719*d/3 + 595/3.
-(d - 119)*(d - 5)*(d - 1)/3
Factor -3*s**2/2 + 3527*s/2 + 588.
-(s - 1176)*(3*s + 1)/2
Factor -298*n**3/5 + 594*n**2/5 + 4*n/5.
-2*n*(n - 2)*(149*n + 1)/5
Factor -d**3 - 2*d**2 + 111*d - 108.
-(d - 9)*(d - 1)*(d + 12)
Find o, given that 5*o**2 - 42*o - 17/4 = 0.
-1/10, 17/2
Find v, given that -2*v**4/7 + 426*v**3/7 - 240*v**2 + 1672*v/7 = 0.
0, 2, 209
Determine c, given that -4*c**4 - 244*c**3 + 1020*c**2 - 1292*c + 520 = 0.
-65, 1, 2
Factor -5*r**5 - 70*r**4 - 65*r**3 + 1260*r**2 - 1620*r.
-5*r*(r - 2)**2*(r + 9)**2
Let -2*i**3 - 6*i**2 + 8*i = 0. What is i?
-4, 0, 1
Factor -5*v**3 + 230*v**2 - 440*v.
-5*v*(v - 44)*(v - 2)
Find f such that -27*f**3 - 249*f**2 + 216*f + 60 = 0.
-10, -2/9, 1
Let -h**5/3 + 17*h**4/3 - 61*h**3/3 - 39*h**2 + 54*h = 0. Calculate h.
-2, 0, 1, 9
Suppose 2*j**4/13 - 6*j**3/13 + 6*j**2/13 - 2*j/13 = 0. Calculate j.
0, 1
Determine a, given that 3*a**3 + 24*a**2 + 48*a = 0.
-4, 0
Find v such that -3*v**2 - 564*v - 561 = 0.
-187, -1
Factor -x**4 + 12*x**3 + 3*x**2 - 38*x + 24.
-(x - 12)*(x - 1)**2*(x + 2)
Factor 5*i**3 - 10*i**2.
5*i**2*(i - 2)
Solve 3*h**5 - 12*h**4 - 18*h**3 + 108*h**2 - 81*h = 0.
-3, 0, 1, 3
Suppose p**2/5 - 10*p + 301/5 = 0. Calculate p.
7, 43
Factor 327680*h**4 + 2867200*h**3 + 9408000*h**2 + 13720000*h + 7503125.
5*(16*h + 35)**4
Solve 11*c**5/4 - 37*c**4/4 + 17*c**3/2 - 2*c**2 = 0 for c.
0, 4/11, 1, 2
Suppose t**3 - 298*t**2 - t + 298 = 0. Calculate t.
-1, 1, 298
Determine b, given that 3*b**4/8 + 15*b**3/4 + 27*b**2/2 + 21*b + 12 = 0.
-4, -2
Determine t, given that 25*t**3 + 1380*t**2 - 1116*t + 224 = 0.
-56, 2/5
Determine g so that 3*g**2 + 1248*g + 1245 = 0.
-415, -1
Solve -f**2 + 1243*f = 0 for f.
0, 1243
Factor o**3 + 19*o**2 - 88*o + 92.
(o - 2)**2*(o + 23)
Suppose 52*y**5 - 60*y**4 - 356*y**3 + 108*y**2 + 304*y - 48 = 0. Calculate y.
-2, -1, 2/13, 1, 3
Factor -18*n**3/7 + 51*n**2/7 - 27*n/7 - 6/7.
-3*(n - 2)*(n - 1)*(6*n + 1)/7
Solve -4*j**2 + 324*j - 1520 = 0.
5, 76
Factor 2*u**2/5 + 12*u/5 - 32/5.
2*(u - 2)*(u + 8)/5
Suppose 3*k**4 - 63*k**3 - 138*k**2 = 0. Calculate k.
-2, 0, 23
Factor 4*p**2 + 6456*p + 2604996.
4*(p + 807)**2
Determine h so that -h**5/2 + 27*h**4 - 550*h**3 + 5156*h**2 - 21120*h + 25600 = 0.
2, 10, 16
Factor v**2 + 57*v + 110.
(v + 2)*(v + 55)
Let 232*v**5/3 - 1492*v**4/3 + 476*v**3/3 + 736*v**2/3 + 16*v = 0. Calculate v.
-1/2, -2/29, 0, 1, 6
Factor -3*n**2/8 - 3597*n/8.
-3*n*(n + 1199)/8
Determine k, given that -3*k**4 - 45*k**3 - 189*k**2 - 243*k = 0.
-9, -3, 0
Factor 6859*l**3/3 - 361*l**2 + 19*l - 1/3.
(19*l - 1)**3/3
Find k such that -18*k**5 - 4*k**4 = 0.
-2/9, 0
Factor 3*u**2 + 111*u - 360.
3*(u - 3)*(u + 40)
Factor -3*y**3 - 330*y**2 - 8736*y + 18816.
-3*(y - 2)*(y + 56)**2
Factor -3*p**2/7 - 7578*p/7 - 4785507/7.
-3*(p + 1263)**2/7
Determine p so that 2*p**3 - 116*p**2 - 1024*p - 2112 = 0.
-4, 66
Factor 3*x**3 + 144*x**2 + 1140*x.
3*x*(x + 10)*(x + 38)
What is q in -2*q**3/7 + 184*q**2/7 + 778*q/7 - 960/7 = 0?
-5, 1, 96
Factor -s**5 + 45*s**4 + 4*s**3 - 180*s**2.
-s**2*(s - 45)*(s - 2)*(s + 2)
Solve -2*r**3/9 + 164*r**2/9 + 2*r/9 - 164/9 = 0 for r.
-1, 1, 82
Factor 2*q**5/17 + 12*q**4/17 + 18*q**3/17 + 8*q**2/17.
2*q**2*(q + 1)**2*(q + 4)/17
Let 2*d**3/9 + 2702*d**2/3 + 912150*d - 8217458/9 = 0. What is d?
-2027, 1
Find i such that -2*i**3/11 + 46*i**2/11 + 100*i/11 = 0.
-2, 0, 25
Determine s so that -5*s**3 - 2130*s**2 - 4225*s + 6360 = 0.
-424, -3, 1
Solve -2*i**4/9 - 50*i**3/9 - 118*i**2/3 - 286*i/9 + 2420/9 = 0 for i.
-11, -5, 2
Factor 2*v**2/3 + 22*v/3 - 40.
2*(v - 4)*(v + 15)/3
What is r in -2*r**5/13 - 136*r**4/13 - 2172*r**3/13 + 4760*r**2/13 - 2450*r/13 = 0?
-35, 0, 1
Let -2*u**2/13 + 124*u/13 + 126/13 = 0. Calculate u.
-1, 63
Factor p**2 - 198*p + 197.
(p - 197)*(p - 1)
Let 16*f**4 - 3076*f**3 + 752*f**2 + 3076*f - 768 = 0. What is f?
-1, 1/4, 1, 192
Factor 294*o**2 - 592*o + 8.
2*(o - 2)*(147*o - 2)
Determine j, given that -3*j**4 - 339*j**3 - 7344*j**2 + 311040*j + 10285056 = 0.
-48, 31
Factor h**4/2 - 39*h**3/2 - 63*h**2 - 2*h + 84.
(h - 42)*(h - 1)*(h + 2)**2/2
Factor 5*d**2 - 1400*d - 1405.
5*(d - 281)*(d + 1)
Factor -2*t**3/7 + 542*t**2/7 + 544*t/7.
-2*t*(t - 272)*(t + 1)/7
Factor -2*h**2 - 6*h - 4.
-2*(h + 1)*(h + 2)
Find f, given that 2*f**5/7 - 46*f**4/7 + 320*f**3/7 - 592*f**2/7 - 160*f/7 + 800/7 = 0.
-1, 2, 10
Find r, given that -484*r**5 + 11924*r**4 + 45392*r**3 + 7680*r**2 - 64512*r = 0.
-24/11, 0, 1, 28
Factor 2*k**2/7 + 19072*k/7 + 45467648/7.
2*(k + 4768)**2/7
Find c such that -c**3/9 - 5*c**2/9 - 2*c/9 + 8/9 = 0.
-4, -2, 1
Factor -l**3/9 + 17*l**2/9 - 80*l/9 + 100/9.
-(l - 10)*(l - 5)*(l - 2)/9
Let -5*j**5 - 45*j**4 - 70*j**3 + 120*j**2 = 0. Calculate j.
-6, -4, 0, 1
Factor -3*x**4/7 - 3*x**3 - 33*x**2/7 - 15*x/7.
-3*x*(x + 1)**2*(x + 5)/7
Solve -2*d**4 - 42*d**3 + 138*d**2 - 142*d + 48 = 0.
-24, 1
Suppose x**2 + 371*x + 738 = 0. Calculate x.
-369, -2
Let 2*s**5/7 + 38*s**4/7 + 30*s**3 + 14*s**2 - 196*s = 0. What is s?
-7, 0, 2
Find b, given that b**5/3 + 7*b**4/3 + 14*b**3/3 + 8*b**2/3 = 0.
-4, -2, -1, 0
Let 3*q**4 - 79*q**3 + 450*q**2 - 576*q - 608 = 0. Calculate q.
-2/3, 4, 19
Factor -2*z**2 - 746*z - 744.
-2*(z + 1)*(z + 372)
Suppose -13*d**2 - 3*d = 0. Calculate d.
-3/13, 0
Find i such that -15*i**4/7 - 33*i**3/7 + 186*i**2/7 + 240*i/7 - 288/7 = 0.
-4, -2, 4/5, 3
Factor 13*o**3/2 + 41*o**2/2 + 16*o + 2.
(o + 1)*(o + 2)*(13*o + 2)/2
Let -v**3 - 28*v**2 - 256*v - 768 = 0. Calculate v.
-12, -8
Determine m, given that -m**5/2 + 82*m**4 - 6885*m**3/2 + 6561*m**2 = 0.
0, 2, 81
Factor -3*w**3/4 - 87*w**2/4 - 165*w/4 - 81/4.
-3*(w + 1)**2*(w + 27)/4
Solve 3*l**5 - 21*l**4 - 303*l**3 + 2769*l**2 - 4560*l + 2112 = 0 for l.
-11, 1, 8
What is d in 25*d**5 - 165*d**4 + 80*d**3 + 60*d**2 = 0?
-2/5, 0, 1, 6
Let -35*j**3 + 45*j**2 - 10*j = 0. What is j?
0, 2/7, 1
Suppose 2*s**2 - 74*s + 72 = 0. Calculate s.
1, 36
Factor 5*a**4 + 265*a**3 + 4765*a**2 + 30515*a + 26010.
5*(a + 1)*(a + 17)**2*(a + 18)
Suppose -2*l**5/5 + 14*l**3/5 - 12*l**2/5 = 0. Calculate l.
-3, 0, 1, 2
Factor 20*c**4 + 28*c**3 - 4*c**2 - 12*c.
4*c*(c + 1)**2*(5*c - 3)
Factor -4*z**2 - 44*z + 48.
-4*(z - 1)*(z + 12)
Suppose -10*u**5/3 - 76*u**4/3 + 74*u**3 - 176*u**2/3 + 40*u/3 = 0. Calculate u.
-10, 0, 2/5, 1
Factor p**4/2 - 5*p**3 - 18*p**2 - 19*p - 13/2.
(p - 13)*(p + 1)**3/2
Factor 5*p**2 - 17630*p + 15540845.
5*(p - 1763)**2
Factor -5*u**3 - 55*u**2 + 5*u + 55.
-5*(u - 1)*(u + 1)*(u + 11)
Factor -s**3/4 - 579*s**2/2 - 84099*s - 167042.
-(s + 2)*(s + 578)**2/4
Solve -d**2/8 - 341*d/8 + 343/4 = 0 for d.
-343, 2
Suppose -204*m**3/5 - 266*m**2/5 - 12*m + 2/5 = 0. What is m?
-1, -1/3, 1/34
Suppose -7*x**3/6 - 11*x**2/3 - 17*x/6 - 1/3 = 0. What is x?
-2, -1, -1/7
Factor -3*c**2/2 + 8*c - 32/3.
-(3*c - 8)**2/6
Factor g**3/2 - 11*g**2/2 - 25*g/2 - 13/2.
(g - 13)*(g + 1)**2/2
Find o, given that -4*o**2 + 1080*o + 1084 = 0.
-1, 271
Determine p so that 5*p**3 - 13440*p**2 + 9045105*p - 18036490 = 0.
2, 1343
Let y**5/7 + 404*y**4/7 + 1206*y**3/7 + 172*y**2 + 401*y/7 = 0. Calculate y.
-401, -1, 0
Factor c**3 - 11*c**2 - 25*c - 13.
(c - 13)*(c + 1)**2
Factor 3*i**5 + 66*i**4 + 192*i**3 - 5376*i**2 - 49152*i - 122880.
3*(i - 10)*(i + 8)**4
Factor 7*d**2/4 - 337*d/6 + 16/3.
(d - 32)*(21*d - 2)/12
Factor 2*y**2 - 34*y + 120.
2*(y - 12)*(y - 5)
Factor 3*n**2 + 360*n + 357.
3*(n + 1)*(n + 119)
Factor 3*y**2/5 - 27*y/5 - 6.
3*(y - 10)*(y + 1)/5
Factor -100*g**3 + 21680*g**2 - 17296*g + 3456.
-4*(g - 216)*(5*g - 2)**2
Factor 5*b**3/9