*(k - 5)*(k + 9)
Suppose -2*s**4/3 - 1391*s**3/6 - 1316*s**2 - 3417*s/2 + 513 = 0. Calculate s.
-342, -3, 1/4
Solve 30*m**4 + 3035*m**3 - 2555*m**2 - 510*m = 0 for m.
-102, -1/6, 0, 1
Solve 5*w**5 + 60*w**4 + 140*w**3 - 240*w**2 - 640*w = 0 for w.
-8, -4, -2, 0, 2
Let 5*z**4 + 10*z**3 - 45*z**2 - 10*z + 40 = 0. Calculate z.
-4, -1, 1, 2
Find j such that 4*j**4 - 28*j**3 + 64*j**2 - 48*j = 0.
0, 2, 3
What is j in 4*j**2/9 + 80*j/3 + 1484/9 = 0?
-53, -7
Factor -2*h**3/3 - 2*h**2/3 + 80*h/3 + 224/3.
-2*(h - 7)*(h + 4)**2/3
Let 4*x**4 + 976*x**3 - 17496*x**2 + 66096*x + 84564 = 0. What is x?
-261, -1, 9
What is b in -42*b**3/5 + 123*b**2/5 + 12*b/5 - 36 = 0?
-15/14, 2
Factor q**2 - 13*q + 40.
(q - 8)*(q - 5)
Find j such that j**2 - 100*j + 2500 = 0.
50
Factor 6*s**3 - 3099*s**2 - 4659*s - 1554.
3*(s - 518)*(s + 1)*(2*s + 1)
Factor z**3/4 - 5*z**2/2 - 23*z/4 - 3.
(z - 12)*(z + 1)**2/4
Factor -2*x**2/3 - 40*x/3 + 88/3.
-2*(x - 2)*(x + 22)/3
Find a such that -2*a**2 - 3268*a - 1334978 = 0.
-817
What is p in -20*p**4 + 2265*p**3 - 565*p**2 = 0?
0, 1/4, 113
Factor k**2 - 220*k.
k*(k - 220)
Factor m**4/2 + 9*m**3/4 + 11*m**2/4 - 1.
(m + 1)*(m + 2)**2*(2*m - 1)/4
Solve -2*c**2/3 - 196*c/3 - 1760/3 = 0 for c.
-88, -10
Factor s**5 + 3*s**4 - s**3 - 7*s**2 + 4.
(s - 1)**2*(s + 1)*(s + 2)**2
Factor 2*x**5 - 16*x**4 - 24*x**3 + 44*x**2 + 86*x + 36.
2*(x - 9)*(x - 2)*(x + 1)**3
Factor -j**2/7 - 13*j/7 + 558/7.
-(j - 18)*(j + 31)/7
Factor 3*b**2 - 24*b + 48.
3*(b - 4)**2
Solve -2*r**5/9 - 34*r**4/3 - 1732*r**3/9 - 9724*r**2/9 + 578*r/3 + 9826/9 = 0 for r.
-17, -1, 1
Factor y**2/3 + 4522*y/3 + 5112121/3.
(y + 2261)**2/3
Factor 3*v**2/4 - 195*v/2 + 12675/4.
3*(v - 65)**2/4
Factor -2*f**4 + 8*f**3 - 2*f**2 - 12*f.
-2*f*(f - 3)*(f - 2)*(f + 1)
Suppose -4*r**3 + 252*r**2 - 240*r - 496 = 0. Calculate r.
-1, 2, 62
Factor 2*j**3 + 22*j**2 + 60*j.
2*j*(j + 5)*(j + 6)
Find x, given that -4*x**4 - 48*x**3 - 40*x**2 + 48*x + 44 = 0.
-11, -1, 1
What is f in -f**4/8 + 133*f**3/8 + 3*f**2/8 - 401*f/8 + 133/4 = 0?
-2, 1, 133
Determine m so that 20*m**4 - 184*m**3 + 436*m**2 - 80*m = 0.
0, 1/5, 4, 5
Factor 5*c**4 - 80*c**2.
5*c**2*(c - 4)*(c + 4)
Find h such that 4*h**5 + 72*h**4 - 331*h**3 + 451*h**2 - 240*h + 44 = 0.
-22, 1/2, 1, 2
Find a, given that 3*a**2 - 75*a + 378 = 0.
7, 18
Factor -3*v**4 + 9*v**3 - 9*v**2 + 3*v.
-3*v*(v - 1)**3
Determine v so that 4*v**5 + 72*v**4 - 460*v**3 = 0.
-23, 0, 5
Determine f, given that -f**3 + 10*f**2 + 459*f = 0.
-17, 0, 27
Determine b so that 3*b**2 - 438*b + 15987 = 0.
73
Find n such that -n**5/2 - 240*n**4 - 56631*n**3/2 + 116402*n**2 - 87846*n = 0.
-242, 0, 1, 3
Find t, given that 2*t**4 + 67*t**3/4 = 0.
-67/8, 0
Let 4*o**4 - 32*o**3 + 72*o**2 - 64*o + 20 = 0. What is o?
1, 5
Factor 2*j**2 + 72*j - 3584.
2*(j - 28)*(j + 64)
Solve 3*t**4 + 330*t**3 + 2505*t**2 + 5850*t + 3672 = 0.
-102, -4, -3, -1
Factor 4*t**2/5 + 52*t/5 - 272/5.
4*(t - 4)*(t + 17)/5
Factor 2*c**2/7 - 24*c/7 + 72/7.
2*(c - 6)**2/7
Factor 3*y**2 - 114*y + 1083.
3*(y - 19)**2
Factor -p**5 + p**4 + 3*p**3 - p**2 - 2*p.
-p*(p - 2)*(p - 1)*(p + 1)**2
Solve -4*s**5 + 8*s**4 + 4*s**3 - 8*s**2 = 0 for s.
-1, 0, 1, 2
Solve 2*x**3 + 1154*x**2 + 13632*x + 40680 = 0 for x.
-565, -6
Solve m**5 - 161*m**4 + 6559*m**3 - 6239*m**2 - 6560*m + 6400 = 0.
-1, 1, 80
Solve -6*l**4/5 + 16*l**3 - 366*l**2/5 + 132*l - 80 = 0.
4/3, 2, 5
Factor -88*q**3/13 + 136*q**2/13 - 70*q/13 + 12/13.
-2*(2*q - 1)**2*(11*q - 6)/13
Solve -4*w**5/3 - 40*w**4 + 524*w**3/3 - 224*w**2 + 272*w/3 = 0.
-34, 0, 1, 2
Solve 3*t**5/2 - 24*t**4 - 3*t**3 + 48*t**2 + 3*t/2 - 24 = 0.
-1, 1, 16
Suppose d**4 - 17*d**3/4 + 4*d**2 - 3*d/4 = 0. Calculate d.
0, 1/4, 1, 3
Factor a**2 + 106*a + 208.
(a + 2)*(a + 104)
Let -a**5/4 + 19*a**4 - 417*a**3/4 - 2203*a**2/2 - 2527*a - 1794 = 0. Calculate a.
-2, 13, 69
Find f, given that 3*f**3 + 78*f**2 + 213*f + 138 = 0.
-23, -2, -1
Factor 2*x**4/5 - 34*x**3/5 + 192*x**2/5 - 416*x/5 + 256/5.
2*(x - 8)*(x - 4)**2*(x - 1)/5
Solve v**2/6 + 1789*v/3 + 3200521/6 = 0 for v.
-1789
Suppose 4*s**2 - 268*s + 520 = 0. Calculate s.
2, 65
Factor -3*c**3/5 - 684*c**2/5 - 540*c - 2688/5.
-3*(c + 2)**2*(c + 224)/5
Determine k, given that 5*k**2 - 150*k - 155 = 0.
-1, 31
Factor -m**2/3 - 124*m/3 + 125/3.
-(m - 1)*(m + 125)/3
Find v, given that 60*v**5/17 + 314*v**4/17 + 546*v**3/17 + 332*v**2/17 + 24*v/17 - 16/17 = 0.
-2, -1, -2/5, 1/6
Let 14739*q**5 - 26877*q**4 + 9690*q**3 + 2298*q**2 + 147*q + 3 = 0. What is q?
-1/17, 1
Let 2*j**4/5 + 2*j**3/5 - 6*j**2 + 46*j/5 - 4 = 0. What is j?
-5, 1, 2
Solve -3*a**3 + 273*a**2 - 5565*a - 5841 = 0.
-1, 33, 59
Solve -18*v**5/11 - 24*v**4/11 + 2406*v**3/11 - 10644*v**2/11 + 5256*v/11 + 3024/11 = 0.
-14, -1/3, 1, 6
Suppose 2*l**5/15 - 2*l**4/15 - 4*l**3/15 = 0. What is l?
-1, 0, 2
Determine k, given that 4*k**4 + 9336*k**3 + 5438212*k**2 - 10904448*k + 5456896 = 0.
-1168, 1
Determine d, given that -147*d**5 - 1281*d**4 + 522*d**3 + 1254*d**2 - 375*d + 27 = 0.
-9, -1, 1/7, 1
Factor a**3/6 + 4*a**2/3 - 27*a/2 - 108.
(a - 9)*(a + 8)*(a + 9)/6
Solve -o**4/4 + 33*o**3/2 - 585*o**2/4 + 350*o = 0.
0, 5, 56
Determine a, given that -2*a**2/13 + 16*a/13 = 0.
0, 8
Suppose z**3 + 287*z**2 + 18271*z - 342015 = 0. What is z?
-151, 15
Let -4*h**3 + 4*h**2 + 20*h + 12 = 0. What is h?
-1, 3
Determine s, given that -3*s**5 + 30*s**4 - 27*s**3 = 0.
0, 1, 9
Factor -2*o**2 - 38*o - 36.
-2*(o + 1)*(o + 18)
Factor -q**4 - q**3.
-q**3*(q + 1)
Find l, given that -l**5/3 + 3*l**4 - 23*l**3/3 + l**2 + 12*l = 0.
-1, 0, 3, 4
What is t in -t**4/2 + 9*t**2 - 16*t + 15/2 = 0?
-5, 1, 3
Find o, given that 2*o**4/17 - 320*o**3/17 + 19200*o**2/17 - 512000*o/17 + 5120000/17 = 0.
40
What is y in 3*y**5 - 6*y**4 - 87*y**3 - 126*y**2 = 0?
-3, -2, 0, 7
Factor -4*y**5 + 476*y**4 - 16168*y**3 + 120888*y**2 - 338580*y + 326700.
-4*(y - 55)**2*(y - 3)**3
Let -3*x**3 - 258*x**2 - 996*x - 984 = 0. What is x?
-82, -2
Find l such that 4*l**3 - 648*l**2 - 4012*l - 3360 = 0.
-5, -1, 168
Find g, given that 4*g**3/5 - 82*g**2/15 - 22*g/3 - 16/15 = 0.
-1, -1/6, 8
Let -6*l**4/11 + 656*l**3/11 - 1508*l**2/11 + 1072*l/11 - 214/11 = 0. What is l?
1/3, 1, 107
Factor -4*t**2 - 956*t - 952.
-4*(t + 1)*(t + 238)
What is a in -a**5/10 - 11*a**4/10 - 4*a**3/5 + 2*a**2 = 0?
-10, -2, 0, 1
Factor g**2/4 + 9*g/4 + 7/2.
(g + 2)*(g + 7)/4
Factor 10*h**4 + 76*h**3 + 152*h**2 + 116*h + 30.
2*(h + 1)**2*(h + 5)*(5*h + 3)
Factor -3*r**4 - 573*r**3 - 24600*r**2 + 270000*r.
-3*r*(r - 9)*(r + 100)**2
Factor -m**4 + 12*m**3 + 13*m**2.
-m**2*(m - 13)*(m + 1)
Determine m so that 15*m**5 - 550*m**4 - 755*m**3 - 190*m**2 = 0.
-1, -1/3, 0, 38
Suppose 2*k**2/13 + 12*k/13 - 14/13 = 0. What is k?
-7, 1
Factor 10*p**2 + 134*p - 144.
2*(p - 1)*(5*p + 72)
Determine b so that 2*b**3/19 - 20*b**2/19 + 64*b/19 - 64/19 = 0.
2, 4
Factor -i**2 - 51*i + 52.
-(i - 1)*(i + 52)
Solve -t**3/4 - 3*t**2/4 + 5*t/2 = 0.
-5, 0, 2
Factor i**4 + 23*i**3 - 105*i**2 + 81*i.
i*(i - 3)*(i - 1)*(i + 27)
Solve v**3/4 + 11*v**2/2 + 26*v + 32 = 0 for v.
-16, -4, -2
Factor 3*s**4 - 186*s**3 - 393*s**2 + 576*s.
3*s*(s - 64)*(s - 1)*(s + 3)
Suppose -3*i**3 + 129*i**2 - 108*i - 756 = 0. What is i?
-2, 3, 42
Factor -2*q**2/13 + 232*q/13 - 6728/13.
-2*(q - 58)**2/13
Factor 2*q**3 + 34*q**2 + 60*q.
2*q*(q + 2)*(q + 15)
What is c in 2*c**2/3 + 42*c - 1460/3 = 0?
-73, 10
What is j in j**5 + 4*j**4 - 4*j**3 - 16*j**2 = 0?
-4, -2, 0, 2
Factor -4*k**2/7 - 40*k/7 - 100/7.
-4*(k + 5)**2/7
Factor -25*g**2 - 45*g + 10.
-5*(g + 2)*(5*g - 1)
Find t, given that t**4/3 + 51*t**3 - 156*t**2 + 4*t/3 + 208 = 0.
-156, -1, 2
Find s such that -3*s**2/4 - 423*s - 59643 = 0.
-282
Suppose n**4/3 - 91*n**3/3 + 2113*n**2/3 - 615*n - 1350 = 0. Calculate n.
-1, 2, 45
Factor 13500*h**5 + 29700*h**4 + 5580*h**3 + 364*h**2 + 8*h.
4*h*(h + 2)*(15*h + 1)**3
Factor -s**2 - 15*s/2 - 9.
-(s + 6)*(2*s + 3)/2
Factor 4*l**4/7 + 24*l**3/7 + 52*l**2/7 + 48*l/7 + 16/7.
4*(l + 1)**2*(l + 2)**2/7
Determine d, given that -14*d**3/11 + 424*d**2/11 - 120*d/11 = 0.
0, 2/7, 30
Factor 2*j**3/9 - 26*j**2/9 + 100*j/9 - 112/9.
2*(j - 7)*(j - 4)*(j - 2)/9
Determine g so that -2*g**5/3 + 80*g**4/3 - 142*g**3 + 604*g**2/3 + 296*g/3 - 272 = 0.
-1, 2, 3, 34
Suppose 2*u**4/5 - 2*u**2/5 = 0. Calculate u.
-1, 0, 1
What is o in -2*o**3 - 46*o*