f**4 - 20*f**3 - 20*f**2.
5*f**2*(f - 2)*(f + 1)*(f + 2)
Find j such that 4*j**2 - 46640*j + 135955600 = 0.
5830
Find f such that 5*f**3 + 25*f**2 = 0.
-5, 0
What is j in -j**2/4 + 117*j - 233 = 0?
2, 466
Factor 3*l**2/5 - 258*l/5 + 5547/5.
3*(l - 43)**2/5
Factor 4*i**3/5 + 52*i**2/5 + 32*i + 144/5.
4*(i + 2)**2*(i + 9)/5
Find z such that -4*z**4 + 34*z**3 + 60*z**2 + 2*z - 20 = 0.
-1, 1/2, 10
Factor 2*i**4 - 8*i**3 - 2*i**2 + 8*i.
2*i*(i - 4)*(i - 1)*(i + 1)
Factor 4*a**3/9 + 176*a**2/3 - 532*a/9.
4*a*(a - 1)*(a + 133)/9
Factor -8*b**5 - 20*b**4 + 150*b**3 - 135*b**2 - 135*b + 162.
-(b + 1)*(b + 6)*(2*b - 3)**3
Factor 2*a**4 - 18*a**3 + 30*a**2 - 14*a.
2*a*(a - 7)*(a - 1)**2
Factor -2*c**2/15 - 212*c/15 - 416/15.
-2*(c + 2)*(c + 104)/15
Factor 12*j**2 - 26864*j + 17904.
4*(j - 2238)*(3*j - 2)
Solve 2*w**2/17 + 14572*w/17 + 26542898/17 = 0.
-3643
Solve 2*w**5/3 + 16*w**4/3 - 4*w**3/3 - 32*w**2/3 + 2*w/3 + 16/3 = 0 for w.
-8, -1, 1
Factor -3*f**3 + 4737*f**2.
-3*f**2*(f - 1579)
Suppose c**5/3 + 4*c**4/3 - 5*c**3/3 = 0. Calculate c.
-5, 0, 1
Factor -2*y**3/7 - 2*y**2 - 22*y/7 - 10/7.
-2*(y + 1)**2*(y + 5)/7
Find t, given that 2*t**2/11 + 1872*t/11 + 438048/11 = 0.
-468
Factor 5*y**3 - 190*y**2 + 2125*y - 5780.
5*(y - 17)**2*(y - 4)
Factor -14*b**2/9 - 86*b/9 - 4/3.
-2*(b + 6)*(7*b + 1)/9
Factor -p**5 - 7*p**4 - 12*p**3 + 4*p**2 + 16*p.
-p*(p - 1)*(p + 2)**2*(p + 4)
Find w such that -2*w**4 - 118*w**3 - 758*w**2 - 1578*w - 936 = 0.
-52, -3, -1
Solve -5*d**5 + 25*d**4 - 40*d**3 + 20*d**2 = 0.
0, 1, 2
Factor -5*a**2 - 50*a + 1680.
-5*(a - 14)*(a + 24)
Factor v**2/3 + 2*v - 16/3.
(v - 2)*(v + 8)/3
Factor -v**3/2 - 17*v**2/2 + 79*v - 120.
-(v - 5)*(v - 2)*(v + 24)/2
Factor -r**5 + 3*r**4 + 4*r**3.
-r**3*(r - 4)*(r + 1)
Let -m**5 - 3*m**4 + 7*m**3 + 27*m**2 + 18*m = 0. Calculate m.
-3, -2, -1, 0, 3
Determine h, given that h**2 + 114*h - 1651 = 0.
-127, 13
What is x in -4*x**2 - 952*x = 0?
-238, 0
Find s, given that 2*s**2 + 46*s = 0.
-23, 0
Suppose -5*f**3/7 - 11*f**2/7 + 12*f/7 = 0. What is f?
-3, 0, 4/5
Suppose -q**3 + q**2 = 0. Calculate q.
0, 1
Find q, given that -2*q**2/7 + 188*q/7 - 720/7 = 0.
4, 90
Suppose -20*v**4 - 125*v**3 - 30*v**2 = 0. Calculate v.
-6, -1/4, 0
Let -2*v**3/21 + 20*v**2/7 + 246*v + 3024 = 0. Calculate v.
-21, 72
Factor -7*i**3/3 + 34*i**2.
-i**2*(7*i - 102)/3
Factor 3*i**4/5 - 15*i**3 - 78*i**2/5.
3*i**2*(i - 26)*(i + 1)/5
Factor -2*j**3/9 - 8*j**2/9 + 14*j/9 + 20/9.
-2*(j - 2)*(j + 1)*(j + 5)/9
Suppose -p**5/6 - 193*p**4/6 + 131*p**3/2 + 581*p**2/6 - 392*p/3 - 130 = 0. Calculate p.
-195, -1, 2
Find t, given that 2*t**5/5 + 6*t**4/5 - 98*t**3/5 - 534*t**2/5 - 144*t = 0.
-5, -3, 0, 8
Solve -q**3 + 62*q**2 - 121*q + 60 = 0.
1, 60
Factor -4*v**2/7 + 10915*v/7 + 2729/7.
-(v - 2729)*(4*v + 1)/7
Let 4*p**5/9 + 136*p**4 + 31208*p**3/3 - 3680*p**2/9 - 31484*p - 20808 = 0. Calculate p.
-153, -1, 2
Let 21*a**5/5 - 9*a**4/5 - 252*a**3/5 - 228*a**2/5 + 144*a/5 = 0. What is a?
-2, 0, 3/7, 4
Let 81*s**5 - 315*s**4 + 390*s**3 - 180*s**2 + 24*s = 0. Calculate s.
0, 2/9, 2/3, 1, 2
Factor -m**2 + 124*m.
-m*(m - 124)
Factor 493039*l**4/2 + 967355*l**3/2 - 37209*l**2/2 + 473*l/2 - 1.
(l + 2)*(79*l - 1)**3/2
Factor q**2/2 + 1149*q/2.
q*(q + 1149)/2
Factor 4*c**4/3 + 20*c**3 + 284*c**2/3 + 140*c.
4*c*(c + 3)*(c + 5)*(c + 7)/3
Find o such that -3*o**3/2 - 114*o**2 + 234*o = 0.
-78, 0, 2
Determine j so that 2*j**5 - 42*j**4 + 286*j**3 - 806*j**2 + 912*j - 352 = 0.
1, 4, 11
Solve b**5 + 9*b**4 + 21*b**3 + 19*b**2 + 6*b = 0 for b.
-6, -1, 0
Factor -b**2 - 66*b - 65.
-(b + 1)*(b + 65)
Suppose -2*i**2/3 - 128*i - 2590/3 = 0. Calculate i.
-185, -7
Factor -u**5/5 - 7*u**4/5 - 3*u**3 - 9*u**2/5.
-u**2*(u + 1)*(u + 3)**2/5
Suppose -740*w**3 + 256*w**2 + 16*w = 0. Calculate w.
-2/37, 0, 2/5
What is c in 3*c**4 - 3216*c**3 + 858666*c**2 + 1726992*c + 865107 = 0?
-1, 537
Solve -3*h**3 + 393*h**2 + 3*h - 393 = 0 for h.
-1, 1, 131
Factor -2*h**2/3 - 272*h/3 + 274/3.
-2*(h - 1)*(h + 137)/3
Factor u**3 - 10*u**2 - 67*u + 364.
(u - 13)*(u - 4)*(u + 7)
Solve 15376*c**4 - 108128*c**3 + 157236*c**2 - 4988*c + 40 = 0.
1/62, 2, 5
Find w, given that 38*w**3 + 757*w**2 + 3740*w - 300 = 0.
-10, 3/38
Factor c**5 - 3*c**4 + c**3 + 3*c**2 - 2*c.
c*(c - 2)*(c - 1)**2*(c + 1)
Find x, given that 50*x**4/3 + 340*x**3/3 + 166*x**2 + 248*x/3 + 40/3 = 0.
-5, -1, -2/5
Factor -158*i**3/7 + 318*i**2/7 - 4*i/7.
-2*i*(i - 2)*(79*i - 1)/7
Factor 2*g**4 + 86*g**3/3 + 28*g**2/3.
2*g**2*(g + 14)*(3*g + 1)/3
Factor h**2/6 + 10*h/3 - 22/3.
(h - 2)*(h + 22)/6
Determine r, given that 54*r**4/11 + 104*r**3/11 - 224*r**2/11 - 416*r/11 + 32/11 = 0.
-2, 2/27, 2
Solve 30*y**5/11 + 86*y**4/11 + 78*y**3/11 + 18*y**2/11 - 4*y/11 = 0 for y.
-1, 0, 2/15
Factor i**4 + 154*i**3 + 8349*i**2 + 186340*i + 1464100.
(i + 22)**2*(i + 55)**2
Determine j so that 45*j**3 - 4539*j**2 - 5196*j - 612 = 0.
-1, -2/15, 102
Let -3*q**5 + 66*q**4 + 213*q**3 - 7764*q**2 - 13440*q + 150528 = 0. What is q?
-7, 4, 16
Factor -q**3 - 578*q**2 - 83521*q.
-q*(q + 289)**2
Factor 3*z**2 + 27*z + 54.
3*(z + 3)*(z + 6)
Factor -f**3/4 + 117*f**2/2 - 465*f/4 + 58.
-(f - 232)*(f - 1)**2/4
Determine z so that 375*z**5 - 7200*z**4 + 255*z**3 + 23106*z**2 - 16812*z + 3192 = 0.
-2, 2/5, 7/5, 19
Factor -h**2/3 - 11*h - 54.
-(h + 6)*(h + 27)/3
Suppose -4*p**3 + 8*p**2 + 12*p = 0. What is p?
-1, 0, 3
Let 3*c**2 - 18*c - 21 = 0. What is c?
-1, 7
Factor w**3 + 9*w**2 + 14*w - 24.
(w - 1)*(w + 4)*(w + 6)
Factor 2*v**3/9 - 62*v**2/9.
2*v**2*(v - 31)/9
Let g**2 - 192*g + 9216 = 0. What is g?
96
Let -w**2/2 + 6*w - 10 = 0. Calculate w.
2, 10
Factor -z**3/4 - 29*z**2 + z/4 + 29.
-(z - 1)*(z + 1)*(z + 116)/4
Solve 2*i**3/5 + 56*i**2 + 10336*i/5 + 36992/5 = 0.
-68, -4
Let 21*k**5/4 - 69*k**4/4 - 297*k**3/4 - 267*k**2/4 - 6*k + 9 = 0. What is k?
-1, 2/7, 6
Let 2*o**4/9 + 8*o**3/9 - 22*o**2/9 + 4*o/3 = 0. Calculate o.
-6, 0, 1
Suppose 3*f**2 - 2625*f + 2622 = 0. What is f?
1, 874
Determine w so that 2*w**2/9 - 322*w/9 + 320/9 = 0.
1, 160
Factor 2*r**3/11 - 536*r**2/11 + 534*r/11.
2*r*(r - 267)*(r - 1)/11
Factor k**3 - 88*k**2 - 768*k.
k*(k - 96)*(k + 8)
What is i in -2*i**4/15 - 6*i**3/5 - 2*i**2 - 14*i/15 = 0?
-7, -1, 0
Find r such that 5*r**4/3 + 65*r**3/3 - 660*r**2 - 13680*r - 66240 = 0.
-12, 23
Factor 2*d**5/3 - 2*d**4/3 - 4*d**3/3.
2*d**3*(d - 2)*(d + 1)/3
Factor -7*c**2/4 - 149*c/4 - 21/2.
-(c + 21)*(7*c + 2)/4
Suppose -11*n**5/4 + 17*n**4 - 133*n**3/4 + 22*n**2 - 3*n = 0. What is n?
0, 2/11, 1, 2, 3
Let 36*a**5 + 444*a**4 + 520*a**3 - 104*a**2 - 172*a + 44 = 0. Calculate a.
-11, -1, 1/3
Factor -3*f**4 + 45*f**3 - 189*f**2 + 147*f.
-3*f*(f - 7)**2*(f - 1)
Factor g**2 + 11*g + 10.
(g + 1)*(g + 10)
Factor 5*g**4/3 + 170*g**3.
5*g**3*(g + 102)/3
Let -2*u**4/7 + 78*u**3/7 - 946*u**2/7 + 390*u + 9900/7 = 0. Calculate u.
-2, 11, 15
Suppose 35*t**3 + 10*t**2 - 2835*t - 810 = 0. Calculate t.
-9, -2/7, 9
Suppose 3*y**2 - 6*y = 0. What is y?
0, 2
Factor -2*f**3/11 - 4*f**2/11 + 10*f + 400/11.
-2*(f - 8)*(f + 5)**2/11
What is y in 52*y**4 - 4168*y**3 + 83840*y**2 - 12800*y = 0?
0, 2/13, 40
Suppose -5*v**2 - 9013*v + 3606 = 0. What is v?
-1803, 2/5
Find b, given that b**3/8 - 7*b**2/8 + b/2 + 3/2 = 0.
-1, 2, 6
Solve -i**3/4 + 829*i**2/2 - 687241*i/4 = 0.
0, 829
Factor -2*b**3/3 + 8*b**2 - 58*b/3 - 28.
-2*(b - 7)*(b - 6)*(b + 1)/3
Determine x, given that -3*x**4 - 66*x**3 - 105*x**2 + 318*x + 360 = 0.
-20, -3, -1, 2
Determine m, given that m**2/4 + 378*m + 142884 = 0.
-756
Factor v**2/2 + 26*v + 50.
(v + 2)*(v + 50)/2
Find h such that h**5/9 - 16*h**4/9 - 40*h**3/3 - 254*h**2/9 - 217*h/9 - 22/3 = 0.
-3, -1, 22
Suppose -2*p**4/7 + 12*p**3/7 + 30*p**2/7 + 16*p/7 = 0. What is p?
-1, 0, 8
Factor 8*d**2 - 406*d - 102.
2*(d - 51)*(4*d + 1)
Factor 3*f**2 - 1734*f + 250563.
3*(f - 289)**2
Let 2*f**4/5 - 42*f**3/5 + 112*f**2/5 - 72*f/5 = 0. What is f?
0, 1, 2, 18
Find i such that 2*i**3/13 - 28*i**2/13 + 86*i/13 - 60/13 = 0.
1, 3, 10
Factor g**3 + 37*g**2 + 451*g + 1815.
(g + 11)**2*(g + 15)
Suppose 2*y**2 + 18*y = 0. What is y?
-9, 0
Let 111*v**2/2 + 1005*v + 108 = 0. What is v?
-18, -4/37
Let -l**2 + 3*l/5 + 2/5 = 0. Calculate l.
-2/5, 1
Solve 5*b**5 - 345*b**4 - 705*b**3 - 355*b**2 = 0 for b.
-1, 0, 71
Factor g**3/6 + g**2 - 7*g/6.
g*(g - 1)*(g + 7)/6
Solve 2*l*