*3 - 372*k**2 - 2440*k + 6336 = 0. What is k?
-8, 2, 99
Let -4*h**3 + 40*h**2 + 244*h - 280 = 0. Calculate h.
-5, 1, 14
Solve m**3 + m**2 - 6*m = 0.
-3, 0, 2
Let -5*l**4 + 35*l**2 + 30*l = 0. Calculate l.
-2, -1, 0, 3
Let -2*o**2 + 7740*o - 7488450 = 0. Calculate o.
1935
Determine i so that 2*i**2/3 - 260*i + 1552/3 = 0.
2, 388
Factor 153*v**3 - 1524*v**2 - 1743*v - 66.
3*(v - 11)*(v + 1)*(51*v + 2)
Suppose -p**2/6 - 2453*p/3 - 6017209/6 = 0. What is p?
-2453
Factor -48*u**2/11 + 2*u/11.
-2*u*(24*u - 1)/11
Factor -10*a**3/3 + 92*a**2/3 - 6*a.
-2*a*(a - 9)*(5*a - 1)/3
Factor 105*t**2 - 528*t + 15.
3*(t - 5)*(35*t - 1)
Determine g, given that g**5 - 21*g**4 + 137*g**3 - 187*g**2 - 714*g + 784 = 0.
-2, 1, 7, 8
Determine m, given that m**3/4 = 0.
0
Solve -4*i**3 + 672*i**2 - 668*i = 0 for i.
0, 1, 167
Factor -5*l**2 - 160*l - 155.
-5*(l + 1)*(l + 31)
Factor 5*u**2 + 43040*u + 92622080.
5*(u + 4304)**2
Solve -2*v**2/21 + 472*v/21 - 27848/21 = 0 for v.
118
Factor -2*g**2 + 1812*g - 410418.
-2*(g - 453)**2
Factor 6*g**4 + 177*g**3 + 252*g**2.
3*g**2*(g + 28)*(2*g + 3)
Factor 55*s**3 - 265*s**2 + 170*s + 40.
5*(s - 4)*(s - 1)*(11*s + 2)
Solve 2*q**5/11 - 8*q**4/11 + 2*q**3/11 + 12*q**2/11 = 0.
-1, 0, 2, 3
Factor -3*k**3/7 + 54*k**2/7 - 324*k/7 + 648/7.
-3*(k - 6)**3/7
Solve 5*w**5 - 125*w**4 + 835*w**3 - 595*w**2 - 840*w + 720 = 0.
-1, 1, 12
Determine f so that 2*f**4/5 + 4*f**3 + 66*f**2/5 + 72*f/5 = 0.
-4, -3, 0
Factor -2*o**4 - 106*o**3 - 1938*o**2 - 13294*o - 19652.
-2*(o + 2)*(o + 17)**3
Factor 242*d**2/7 + 792*d/7 + 648/7.
2*(11*d + 18)**2/7
Factor -3*b**2 - 105*b - 288.
-3*(b + 3)*(b + 32)
Factor -2*s**3/7 + 6*s**2/7 + 18*s/7 + 10/7.
-2*(s - 5)*(s + 1)**2/7
Find c, given that -3*c**4 - 30*c**3 = 0.
-10, 0
Let -g**4 - 4*g**3 + 6*g**2 + 4*g - 5 = 0. What is g?
-5, -1, 1
Factor -5*d**2/3 + 395*d/3 - 130.
-5*(d - 78)*(d - 1)/3
Let 4*u**5 + 32*u**4 + 60*u**3 - 32*u**2 - 64*u = 0. Calculate u.
-4, -1, 0, 1
Solve -2*u**5 + 22*u**4 - 66*u**3 + 10*u**2 + 100*u = 0.
-1, 0, 2, 5
Factor 3*n**3 - 2727*n**2 - 5463*n - 2733.
3*(n - 911)*(n + 1)**2
Factor 3*w**4 + 69*w**3 - 78*w**2 - 144*w.
3*w*(w - 2)*(w + 1)*(w + 24)
Factor 3*u**2/5 + 24*u/5 + 21/5.
3*(u + 1)*(u + 7)/5
Factor -m**2 - 80*m - 1600.
-(m + 40)**2
Suppose -2*g**3/3 - 16*g**2 = 0. What is g?
-24, 0
Factor 2*u**2/5 + 10*u + 60.
2*(u + 10)*(u + 15)/5
Factor -h**4/8 + 7*h**3/4 + 3*h**2/2 - 19*h - 28.
-(h - 14)*(h - 4)*(h + 2)**2/8
Factor 4*d**4/9 - 4*d**3/9 - 112*d**2/9 + 64*d/9 + 256/3.
4*(d - 4)**2*(d + 3)*(d + 4)/9
Factor d**4/3 + 122*d**3/3 + 1427*d**2 + 34160*d/3 + 78400/3.
(d + 5)**2*(d + 56)**2/3
Solve 3*v**4 - 726*v**2 + 6048*v - 13965 = 0.
-19, 5, 7
Factor 5*o**4 + 1085*o**3 + 58305*o**2 - 61585*o - 118810.
5*(o - 2)*(o + 1)*(o + 109)**2
Find f such that f**5/3 - 11*f**4/3 + 35*f**3/3 - 25*f**2/3 = 0.
0, 1, 5
Suppose -3*r**5 - 30*r**4 + 9*r**3 + 96*r**2 + 60*r = 0. Calculate r.
-10, -1, 0, 2
What is v in v**3/2 - 5*v**2 + 17*v/2 - 4 = 0?
1, 8
Let n**2 - 124*n - 125 = 0. Calculate n.
-1, 125
Factor 4*a**4 - 192*a**3 + 2360*a**2 - 7488*a - 10044.
4*(a - 31)*(a - 9)**2*(a + 1)
Suppose 3*v**4/4 - v**3 - 19*v**2/4 + 2*v + 3 = 0. What is v?
-2, -2/3, 1, 3
Factor 2*j**2 - 18*j - 272.
2*(j - 17)*(j + 8)
Determine g so that -4*g**2 - 1716*g - 5112 = 0.
-426, -3
Factor 10*i**3 + 1904*i**2 - 1150*i - 764.
2*(i - 1)*(i + 191)*(5*i + 2)
Factor 3*p**4 + 111*p**3 + 462*p**2 - 576*p.
3*p*(p - 1)*(p + 6)*(p + 32)
Factor -5*d**5/2 - 30*d**4 - 140*d**3 - 320*d**2 - 360*d - 160.
-5*(d + 2)**4*(d + 4)/2
Let -d**2 + 2166*d - 1172889 = 0. Calculate d.
1083
Factor 4*c**4 - 24*c**3 - 4*c**2 + 24*c.
4*c*(c - 6)*(c - 1)*(c + 1)
Suppose 2*a**4/15 + 14*a**3/5 - 108*a**2/5 + 64*a/15 + 576/5 = 0. Calculate a.
-27, -2, 4
What is a in -2*a**5 - 86*a**4 - 782*a**3 + 3166*a**2 - 368*a - 4232 = 0?
-23, -1, 2
What is m in -4*m**5 - 26*m**4 - 62*m**3 - 64*m**2 - 24*m = 0?
-2, -3/2, -1, 0
Suppose 2*h**2 + 1970*h = 0. What is h?
-985, 0
Suppose 2*u**2/3 - 2582*u/3 + 5156/3 = 0. What is u?
2, 1289
Factor i**5/3 - i**4 + i**3/3 + i**2 - 2*i/3.
i*(i - 2)*(i - 1)**2*(i + 1)/3
Factor -3*v**4/2 + 180*v**3 - 3375*v**2/2 + 4125*v.
-3*v*(v - 110)*(v - 5)**2/2
Factor o**2/6 - 2/3.
(o - 2)*(o + 2)/6
Factor -d**3/7 + 18*d**2/7 + 39*d/7 + 20/7.
-(d - 20)*(d + 1)**2/7
Determine v so that 9*v**2 - 488*v/3 + 12 = 0.
2/27, 18
Factor -c**2/5 + 26*c/5 + 27/5.
-(c - 27)*(c + 1)/5
Factor 2*l**3/7 - 2*l**2 - 172*l/7 - 48.
2*(l - 14)*(l + 3)*(l + 4)/7
Factor y**2/2 - 44*y + 968.
(y - 44)**2/2
Determine k so that -k**3/3 + 80*k**2/3 - 233*k/3 + 154/3 = 0.
1, 2, 77
Solve 9*l**2/4 + 2409*l/4 + 801/2 = 0 for l.
-267, -2/3
Factor -o**3 + 22*o**2 - 156*o + 360.
-(o - 10)*(o - 6)**2
Determine o so that 12*o**3 + 1089*o**2 + 789*o - 1890 = 0.
-90, -7/4, 1
Factor 289*p**2/7 - 136*p/7 + 16/7.
(17*p - 4)**2/7
Factor -15*u**2 + 11604*u + 4644.
-3*(u - 774)*(5*u + 2)
Factor -3*c**3/2 + 123*c**2/2 - 1581*c/2 + 6069/2.
-3*(c - 17)**2*(c - 7)/2
Factor k**5 + k**4 - 105*k**3 + 299*k**2 - 292*k + 96.
(k - 8)*(k - 1)**3*(k + 12)
Solve 3*b**4/4 + 81*b**3/4 - 99*b**2/4 - 429*b/4 - 63 = 0 for b.
-28, -1, 3
Factor 3*n**3 - 165*n**2 - 12*n + 660.
3*(n - 55)*(n - 2)*(n + 2)
Factor -2*l**2/11 + 552*l/11 + 1112/11.
-2*(l - 278)*(l + 2)/11
Suppose a**3/5 + 4*a**2/5 - 19*a/5 + 14/5 = 0. Calculate a.
-7, 1, 2
Solve 4*i**3/7 + 332*i**2/7 - 6948*i/7 + 32724/7 = 0 for i.
-101, 9
Factor 5*i**4 + 80*i**3 + 70*i**2 - 80*i - 75.
5*(i - 1)*(i + 1)**2*(i + 15)
Find s such that s**5/3 - 35*s**4 + 2701*s**3/3 + 1007*s**2 - 5618*s/3 = 0.
-2, 0, 1, 53
Suppose -3*t**5/4 + 15*t**4/2 - 69*t**3/4 - 15*t**2/2 + 18*t = 0. What is t?
-1, 0, 1, 4, 6
Factor h**5 + 26*h**4 + 33*h**3 - 1768*h**2 + 4624*h.
h*(h - 4)**2*(h + 17)**2
Suppose 2*h**5/9 + 2*h**4/9 - 4*h**3/9 = 0. Calculate h.
-2, 0, 1
Factor 3*b**4/2 - 9*b**3/2 - 9*b**2/2 + 33*b/2 - 9.
3*(b - 3)*(b - 1)**2*(b + 2)/2
Suppose c**3/3 - 349*c**2/3 + 116*c = 0. What is c?
0, 1, 348
Let 2*o**3 - 386*o**2 - 1196*o + 3920 = 0. Calculate o.
-5, 2, 196
Solve -2*p**4/7 - 34*p**3/7 = 0.
-17, 0
Factor 2*y**2/13 - 248*y/13 - 504/13.
2*(y - 126)*(y + 2)/13
Suppose 2*j**3/5 - 808*j**2/5 + 81608*j/5 = 0. Calculate j.
0, 202
Factor 2*h**2/7 + 18*h/7.
2*h*(h + 9)/7
What is g in -2*g**2/13 - 448*g/13 - 25088/13 = 0?
-112
Find h such that 4*h**3 - 152*h**2 + 960*h = 0.
0, 8, 30
Factor -3*g**2/5 - 66*g/5 + 312/5.
-3*(g - 4)*(g + 26)/5
Determine d so that -2*d**4 + 10*d**3 - 14*d**2 + 6*d = 0.
0, 1, 3
Suppose -2*u**2 - 38*u - 36 = 0. What is u?
-18, -1
Factor -3*t**4/2 - 3*t**3/2 + 15*t**2/2 - 9*t/2.
-3*t*(t - 1)**2*(t + 3)/2
Determine k so that k**5/2 - 2*k**4/3 - 25*k**3/6 + 23*k**2/3 + 2*k/3 - 4 = 0.
-3, -2/3, 1, 2
Factor 4*z**4 - 140*z**3 + 516*z**2 - 628*z + 248.
4*(z - 31)*(z - 2)*(z - 1)**2
Factor 2*b**3 + 28*b**2 - 70*b - 600.
2*(b - 5)*(b + 4)*(b + 15)
Determine v so that -20*v**3 + 85*v**2 - 100*v + 20 = 0.
1/4, 2
Let c**4 - 18*c**3 + 31*c**2 + 18*c - 32 = 0. Calculate c.
-1, 1, 2, 16
Find v such that -15*v**4 - 159*v**3 + 246*v**2 - 72*v = 0.
-12, 0, 2/5, 1
Let z**3/7 - 53*z**2/7 - 109*z/7 - 55/7 = 0. Calculate z.
-1, 55
Let -x**2/5 + 46*x/5 - 48 = 0. What is x?
6, 40
What is i in 3*i**3/5 - 99*i**2/5 + 864*i/5 - 768/5 = 0?
1, 16
Solve -2*f**3/11 - 16*f**2/11 - 8*f/11 + 96/11 = 0.
-6, -4, 2
Factor x**4/6 - 16*x**3/3 + 46*x**2 - 376*x/3 + 320/3.
(x - 20)*(x - 8)*(x - 2)**2/6
Let j**5/3 + j**4 - 4*j**2/3 = 0. Calculate j.
-2, 0, 1
Factor -k**4/6 - 13*k**3/6 - 9*k**2 - 46*k/3 - 28/3.
-(k + 2)**3*(k + 7)/6
Suppose -q**3/2 + 239*q**2 = 0. What is q?
0, 478
Factor -r**3/2 + 150*r**2 - 11250*r.
-r*(r - 150)**2/2
Factor 5*b**3 - 4235*b**2 + 8455*b - 4225.
5*(b - 845)*(b - 1)**2
Solve -2*t**2/5 - 26*t/5 - 72/5 = 0.
-9, -4
Find s such that -2*s**4 + 152*s**3 - 2730*s**2 - 6084*s = 0.
-2, 0, 39
Determine l, given that 6*l**3/5 - 18*l**2/5 - 24*l/5 = 0.
-1, 0, 4
Solve 4*h**4 + 64*h**3 - 4*h**2 - 64*h = 0.
-16, -1, 0, 1
Let -3*m**4/5 + 48*m**3/5 - 159*m**2/5 - 42*m = 0. What is m?
-1, 0, 7, 10
Solve -2*v**3/13 - 2*v**2 - 70*v/13 + 98/13 = 0.
-7, 1
Factor 3*k**3 - 18*k**2 - 75*k - 54.
3*(k - 9)*(k + 1)*(k + 2)
Factor -9*n**3 - 69*n**2 - 39*n + 21.
-3*(n + 1)*(n + 7)*(3*n - 1)
What is b in -4*b**5 + 324*b**4 - 6700*b**3 + 4812*b**2 + 31040*b + 19200 = 0?
-1, 3, 40
Sup