 48*r.
4*r*(r - 1)*(r + 1)*(r + 12)
Let 5*f**2/2 - 2295*f + 4585/2 = 0. What is f?
1, 917
Factor 4*o**3 + 1284*o**2 + 103680*o + 102400.
4*(o + 1)*(o + 160)**2
Factor 4*z**3 + 76*z**2 + 396*z + 324.
4*(z + 1)*(z + 9)**2
Find o such that -5*o**5/4 - 5*o**4/4 = 0.
-1, 0
Factor 3*m**3/4 - 7*m**2/2 + 17*m/4 - 3/2.
(m - 3)*(m - 1)*(3*m - 2)/4
Find q such that 2*q**4/5 - 48*q**3/5 + 72*q**2 - 160*q = 0.
0, 4, 10
Factor -5*j**3 + 1290*j**2.
-5*j**2*(j - 258)
Let 146*m**3/11 + 148*m**2/11 - 290*m/11 - 4/11 = 0. What is m?
-2, -1/73, 1
Solve 3*h**3 - 15*h**2 + 6*h + 24 = 0 for h.
-1, 2, 4
Suppose -15*i**4/8 + 387*i**3/4 - 1935*i**2/8 + 147*i = 0. What is i?
0, 1, 8/5, 49
Factor -3*v**3/4 + 9*v**2/4 + 69*v/2 + 54.
-3*(v - 9)*(v + 2)*(v + 4)/4
Suppose -2*i**2/5 - 596*i/5 - 594/5 = 0. Calculate i.
-297, -1
What is j in 15*j**5 - 245*j**4 + 335*j**3 + 2405*j**2 - 3350*j + 840 = 0?
-3, 1/3, 1, 4, 14
What is n in -n**2/2 + 9/2 = 0?
-3, 3
Suppose -p**4 - 377*p**3 - 33783*p**2 + 332153*p - 297992 = 0. Calculate p.
-193, 1, 8
Solve -30*g**4 - 235*g**3 + 40*g**2 = 0 for g.
-8, 0, 1/6
Suppose -62*q**4/7 + 58*q**3/7 + 4*q**2/7 = 0. Calculate q.
-2/31, 0, 1
Determine x so that 2*x**3 - 14*x**2 + 22*x - 10 = 0.
1, 5
Factor 5*s**2 + 1750*s + 153125.
5*(s + 175)**2
Factor 2*s**4/9 + 2*s**3/3 - 2*s**2 + 10*s/9.
2*s*(s - 1)**2*(s + 5)/9
Factor u**2/7 + 16*u - 113/7.
(u - 1)*(u + 113)/7
What is a in -a**2/7 - 23*a/7 - 90/7 = 0?
-18, -5
What is h in -h**2 - 6*h + 27 = 0?
-9, 3
What is p in -8*p**5 - 1372*p**4 - 55664*p**3 + 270352*p**2 - 368896*p + 123904 = 0?
-88, 1/2, 2
Factor -2*v**5/9 + 10*v**4/3 - 20*v**3/3 - 700*v**2/9 + 490*v/3 + 686.
-2*(v - 7)**3*(v + 3)**2/9
Solve i**3/6 + 2*i**2 + 8*i + 32/3 = 0 for i.
-4
Factor -4*z**3 + 68*z**2 + 256*z - 320.
-4*(z - 20)*(z - 1)*(z + 4)
Find m, given that 81*m**5/2 - 171*m**4/4 - 131*m**3/2 + 159*m**2/4 + 25*m + 3 = 0.
-1, -2/9, 1, 3/2
Factor -5488*i**4/5 + 130536*i**3/5 + 5628*i**2 + 2014*i/5 + 48/5.
-2*(i - 24)*(14*i + 1)**3/5
Determine n, given that n**2/4 + 13*n/4 + 3 = 0.
-12, -1
Let -5*n**5 - 45*n**4 + 145*n**3 + 285*n**2 - 1040*n + 660 = 0. Calculate n.
-11, -3, 1, 2
Factor -4*c**3 - 428*c**2 + 432*c.
-4*c*(c - 1)*(c + 108)
Factor 3*l**3 + 27*l**2 - 63*l + 33.
3*(l - 1)**2*(l + 11)
Factor 147*n**3 - 79884*n**2 - 45684*n - 6528.
3*(n - 544)*(7*n + 2)**2
Factor 2*c**2/3 + 1076*c/3 + 358.
2*(c + 1)*(c + 537)/3
Factor -2*q**3/15 - 14*q**2/5 + 44*q/15.
-2*q*(q - 1)*(q + 22)/15
Factor -q**4 - 97*q**3 + q**2 + 97*q.
-q*(q - 1)*(q + 1)*(q + 97)
Find w, given that -5*w**5 - 10*w**4 + 35*w**3 + 100*w**2 + 60*w = 0.
-2, -1, 0, 3
Factor o**4/6 + 2*o**3/3 - 11*o**2/6 + o.
o*(o - 1)**2*(o + 6)/6
Solve -10*m**2 - 96*m + 40 = 0.
-10, 2/5
Determine t, given that 3*t**2 + 3948*t + 1298892 = 0.
-658
Suppose -z**4/9 + 86*z**2/9 + 40*z + 275/9 = 0. What is z?
-5, -1, 11
Let n**2 + 6492*n + 10536516 = 0. Calculate n.
-3246
Factor -c**2/4 + 265*c/4 + 675/2.
-(c - 270)*(c + 5)/4
Factor 4*y**3 - 60*y**2 + 32*y + 336.
4*(y - 14)*(y - 3)*(y + 2)
Solve 48*i**5 + 456*i**4 + 963*i**3 - 570*i**2 + 75*i = 0 for i.
-5, 0, 1/4
Determine u, given that 4*u**4 - 48*u**3 + 192*u**2 - 320*u + 192 = 0.
2, 6
Solve 14*x**4 - 192*x**3 - 742*x**2 - 672*x - 136 = 0 for x.
-2, -1, -2/7, 17
Factor 2*l**3 - 7*l**2 - 33*l + 18.
(l - 6)*(l + 3)*(2*l - 1)
Let -2*r**5/7 - 4*r**4 - 62*r**3/7 + 36*r**2 = 0. Calculate r.
-9, -7, 0, 2
Factor 2*r**4/7 - 10*r**3/7 - 8*r**2 + 64*r/7.
2*r*(r - 8)*(r - 1)*(r + 4)/7
Factor 4*f**2/7 - 31*f/7.
f*(4*f - 31)/7
Factor 2*m**4 + 10*m**3 - 62*m**2 + 86*m - 36.
2*(m - 2)*(m - 1)**2*(m + 9)
What is r in 4*r**2 + 2*r - 20 = 0?
-5/2, 2
Let -3*s**2/4 - 1611*s/2 - 865107/4 = 0. What is s?
-537
Solve -3*l**3 + 9*l**2 + 390*l = 0 for l.
-10, 0, 13
Factor 7*v**3 + 37*v**2 + 10*v.
v*(v + 5)*(7*v + 2)
Solve 5*j**5 - 465*j**4 + 895*j**3 + 1365*j**2 = 0 for j.
-1, 0, 3, 91
Suppose -u**3/10 + u**2/5 = 0. Calculate u.
0, 2
Factor -5*i**2 + 1025*i - 1020.
-5*(i - 204)*(i - 1)
Suppose -y**2/8 + 13*y/4 = 0. What is y?
0, 26
Factor x**2 - 5774*x + 8334769.
(x - 2887)**2
Suppose -2*r**3 + 32*r**2 - 170*r + 300 = 0. Calculate r.
5, 6
Find c, given that c**3 + 152*c**2 - 307*c + 154 = 0.
-154, 1
Factor 3*j**3 - 1578*j**2 - 3165*j - 1584.
3*(j - 528)*(j + 1)**2
Suppose -u**2 + 95*u - 996 = 0. Calculate u.
12, 83
Find o, given that o**5/2 - 4*o**4 + 15*o**3/2 = 0.
0, 3, 5
Factor -5*u**4 + 245*u**3 - 240*u**2.
-5*u**2*(u - 48)*(u - 1)
Find h such that 2*h**2 - 5606*h/5 - 2244/5 = 0.
-2/5, 561
Factor 2*f**5 - 90*f**4 + 172*f**3 + 4*f**2 - 174*f + 86.
2*(f - 43)*(f - 1)**3*(f + 1)
Factor -9*q**3 - 60*q**2 - 33*q + 18.
-3*(q + 1)*(q + 6)*(3*q - 1)
Determine s so that 5*s**5 + 530*s**4 + 2545*s**3 + 2020*s**2 = 0.
-101, -4, -1, 0
What is w in 1922*w**2/9 - 496*w/9 + 32/9 = 0?
4/31
Find b, given that -2*b**3/19 + 4*b**2/19 + 64*b/19 - 192/19 = 0.
-6, 4
Factor s**3/3 - 1717*s**2/3 + 245960*s - 245388.
(s - 858)**2*(s - 1)/3
Solve 8*q**2/9 + 22*q/3 - 6 = 0 for q.
-9, 3/4
Solve 2*u**4/13 + 420*u**3/13 - 4400*u**2/13 = 0.
-220, 0, 10
Solve -q**5 - 10*q**4 + 67*q**3 + 160*q**2 + 84*q = 0.
-14, -1, 0, 6
Factor 6*w**4 + 34*w**3 + 20*w**2.
2*w**2*(w + 5)*(3*w + 2)
Let 2*v**4 + 24*v**3 + 98*v**2 + 156*v + 80 = 0. Calculate v.
-5, -4, -2, -1
Let -3*f**4/4 + 60*f**3 + 513*f**2/4 - 867*f/2 + 246 = 0. Calculate f.
-4, 1, 82
Factor 4*l**4 - 608*l**3 + 1204*l**2 - 600*l.
4*l*(l - 150)*(l - 1)**2
Find j, given that j**4 + 7*j**3 - 7*j**2 - 43*j + 42 = 0.
-7, -3, 1, 2
Factor 3*y**3 - 864*y**2 + 3420*y - 3408.
3*(y - 284)*(y - 2)**2
Determine u, given that -u**3 + 211*u**2 - 210*u = 0.
0, 1, 210
Find r, given that 4*r**2 - 64*r + 60 = 0.
1, 15
Let 2*t**2/19 - 172*t/19 + 3698/19 = 0. Calculate t.
43
Factor 4*m**5/3 - 16*m**4/3 - 20*m**3/3.
4*m**3*(m - 5)*(m + 1)/3
Suppose 4*d**3 + 192*d**2 + 2036*d - 2232 = 0. Calculate d.
-31, -18, 1
Factor 2*b**3/5 - 26*b**2 + 560*b - 4000.
2*(b - 25)*(b - 20)**2/5
Factor 121*d**4 + 781*d**3 - 1421*d**2 + 591*d - 72.
(d - 1)*(d + 8)*(11*d - 3)**2
Factor f**2/5 + 3*f - 16/5.
(f - 1)*(f + 16)/5
Factor h**2 + 70*h - 71.
(h - 1)*(h + 71)
Factor -k**2/3 - 83*k/3 - 82/3.
-(k + 1)*(k + 82)/3
Factor 45*s**5 + 858*s**4 + 57*s**3.
3*s**3*(s + 19)*(15*s + 1)
Find h such that -2*h**3 - 198*h**2 - 4590*h + 15606 = 0.
-51, 3
Factor -27*y**2 + 537*y + 630.
-3*(y - 21)*(9*y + 10)
Let -93*d**3/5 - 187*d**2/5 - 19*d - 1/5 = 0. What is d?
-1, -1/93
Factor -2*q**3/3 - 58*q**2/3 - 160*q - 408.
-2*(q + 6)**2*(q + 17)/3
Let -2*i**5/7 + 6*i**4/7 + 2*i**3/7 - 6*i**2/7 = 0. Calculate i.
-1, 0, 1, 3
Factor 35*h**3 + 835*h**2 + 4920*h - 720.
5*(h + 12)**2*(7*h - 1)
Solve s**2/9 + 22*s/9 + 32/3 = 0.
-16, -6
Find a, given that -a**2/3 + 14*a/3 + 176/3 = 0.
-8, 22
Solve x**2/2 + 7*x/2 - 9 = 0 for x.
-9, 2
Factor 2*h**3 - 156*h**2.
2*h**2*(h - 78)
Find t such that -2*t**5 + 250*t**4 + 1554*t**3 + 2366*t**2 - 1024*t - 3144 = 0.
-3, -2, 1, 131
Solve 2*s**2/3 + 11*s - 17/3 = 0 for s.
-17, 1/2
Let z**3 - 23*z**2 - 49*z - 25 = 0. What is z?
-1, 25
Factor 2*k**2/5 + 24*k/5 - 26/5.
2*(k - 1)*(k + 13)/5
Solve -2*t**2/17 + 104*t/17 - 6 = 0 for t.
1, 51
Determine t, given that t**4/3 - 9*t**3/2 - 197*t**2/6 - 79*t/2 + 57/2 = 0.
-3, 1/2, 19
Factor 4*d**3/5 - 4*d**2 + 16*d/5.
4*d*(d - 4)*(d - 1)/5
Suppose g**2 + 636*g - 637 = 0. Calculate g.
-637, 1
Factor -5*s**3/3 + 2570*s**2/3 + 2585*s/3 - 5150/3.
-5*(s - 515)*(s - 1)*(s + 2)/3
Factor -z**4 + 2*z**3 + 3*z**2 - 4*z - 4.
-(z - 2)**2*(z + 1)**2
Factor -z**3 + 84*z**2 - 83*z.
-z*(z - 83)*(z - 1)
Solve -3*y**3 + 9*y**2 - 6*y = 0.
0, 1, 2
Factor -g**4/6 - 5*g**3/6 + g**2/2 + 17*g/6 + 5/3.
-(g - 2)*(g + 1)**2*(g + 5)/6
Solve -3*x**4 - 64*x**3 - 184*x**2 - 64*x + 144 = 0 for x.
-18, -2, 2/3
Find t such that 3*t**2 + 1932*t + 311052 = 0.
-322
Determine f, given that -2*f**2/15 + 16*f = 0.
0, 120
What is y in -y**5/2 - 7*y**4 - 30*y**3 - 36*y**2 = 0?
-6, -2, 0
Determine f, given that 2*f**5/5 - 32*f**4/5 + 126*f**3/5 = 0.
0, 7, 9
What is i in -33*i**4 - 501*i**3 - 948*i**2 - 156*i = 0?
-13, -2, -2/11, 0
Suppose -j**4/5 + 27*j**3/5 - 93*j**2/5 + 17*j/5 + 138/5 = 0. What is j?
-1, 2, 3, 23
Factor 80*x**2/3 - 28*x + 16/3.
4*(4*x - 1)*(5*x - 4)/3
Determine v, given that -3*v**3 - 195*v**2 - 3600*v - 13500 = 0.
-30, -5
Factor 3*a**3 + 45*a**2 - 675*a