in -4*q**4 + 16*q**3 - 16*q**2 = 0?
0, 2
Factor k**5 - 23*k**4 + 87*k**3 + 611*k**2 - 676*k.
k*(k - 13)**2*(k - 1)*(k + 4)
Factor -w**4 - 1137*w**3 - 1135*w**2 + 1137*w + 1136.
-(w - 1)*(w + 1)**2*(w + 1136)
Find w such that -4*w**2 + 1176*w - 86436 = 0.
147
Factor -3*k**4 + 36*k**3 - 48*k**2 - 144*k + 240.
-3*(k - 10)*(k - 2)**2*(k + 2)
Let -125*q**5 - 600*q**4 - 920*q**3 - 480*q**2 - 80*q = 0. What is q?
-2, -2/5, 0
Factor -5*c**2 - 5940*c - 1764180.
-5*(c + 594)**2
Factor 5*x**2/2 + 6065*x.
5*x*(x + 2426)/2
Suppose -225*f**5 - 940*f**4 + 17185*f**3 + 3160*f**2 - 1540*f = 0. What is f?
-11, -2/5, 0, 2/9, 7
Determine m, given that -5*m**3 - 95*m**2 - 130*m + 680 = 0.
-17, -4, 2
Let -2*y**4/9 - 8*y**3/9 + 14*y**2/9 + 20*y/9 = 0. Calculate y.
-5, -1, 0, 2
Factor 4*u**5/3 - 96*u**4 + 1628*u**3 + 10952*u**2/3.
4*u**2*(u - 37)**2*(u + 2)/3
Let 39*t**4/5 - 123*t**3/5 + 96*t**2/5 - 12*t/5 = 0. Calculate t.
0, 2/13, 1, 2
Factor 8*q**5 + 172*q**4 + 522*q**3 + 297*q**2 - 513*q - 486.
(q - 1)*(q + 18)*(2*q + 3)**3
Factor -t**2/2 - 9*t/2 - 4.
-(t + 1)*(t + 8)/2
Let -g**4 - 7*g**3 - 14*g**2 - 8*g = 0. Calculate g.
-4, -2, -1, 0
Factor 2*a**4/3 + 98*a**3/3 - 2*a**2/3 - 98*a/3.
2*a*(a - 1)*(a + 1)*(a + 49)/3
Factor l**3/2 + 507*l**2/2 + 505*l.
l*(l + 2)*(l + 505)/2
Determine o so that -3*o**3 + 105*o**2 - 696*o + 1296 = 0.
4, 27
Factor a**5 + 9*a**4 + 20*a**3.
a**3*(a + 4)*(a + 5)
Factor -3*b**2/2 + 2475*b/2.
-3*b*(b - 825)/2
Suppose 2*d**4 - 500*d**3 + 33186*d**2 - 242000*d + 468512 = 0. Calculate d.
4, 121
Determine z so that -2*z**3/5 + 44*z**2/5 + 94*z/5 + 48/5 = 0.
-1, 24
Factor 25*j**4 + 45*j**3 - 90*j**2 - 100*j + 120.
5*(j - 1)*(j + 2)**2*(5*j - 6)
Find j, given that 3*j**5/8 + 9*j**4/8 - 9*j**3/4 - 21*j**2/2 - 9*j = 0.
-2, 0, 3
Factor 4*k**2 + 316*k - 1328.
4*(k - 4)*(k + 83)
Solve -3*x**5 + 21*x**4 - 18*x**3 = 0 for x.
0, 1, 6
Factor -3*q**2 - 639*q.
-3*q*(q + 213)
Let -2*p**3/11 - 52*p**2/11 - 182*p/11 - 12 = 0. Calculate p.
-22, -3, -1
Factor -t**4/5 - 54*t**3/5 - 829*t**2/5 - 540*t - 500.
-(t + 2)**2*(t + 25)**2/5
Suppose -2*o**3/9 + 146*o**2/9 - 412*o/9 - 560/9 = 0. Calculate o.
-1, 4, 70
Solve -3*j**2 - 159*j - 156 = 0 for j.
-52, -1
Find d, given that -25*d**5 + 195*d**4 - 385*d**3 - 135*d**2 + 590*d + 120 = 0.
-1, -1/5, 2, 3, 4
Find i, given that -132*i**4 + 285*i**3 - 18*i**2 - 285*i + 150 = 0.
-1, 10/11, 1, 5/4
Factor 2*u**3/19 - 58*u**2/19 + 544*u/19 - 1664/19.
2*(u - 13)*(u - 8)**2/19
Factor 2*k**3/17 + 44*k**2/17 - 146*k/17 + 100/17.
2*(k - 2)*(k - 1)*(k + 25)/17
Let 2*m**5 + 1314*m**4 + 578145*m**3/2 + 21578839*m**2 + 62802966*m + 46621044 = 0. Calculate m.
-218, -3/2
Determine r, given that -2*r**5/5 + 116*r**4/15 + 362*r**3/15 - 208*r**2/15 - 88*r/5 = 0.
-3, -2/3, 0, 1, 22
Determine v so that 4*v**3/7 + 128*v**2 - 1804*v/7 + 904/7 = 0.
-226, 1
Find p such that -4*p**5 - 16*p**4 + 80*p**3 - 40*p**2 - 76*p + 56 = 0.
-7, -1, 1, 2
Factor -2*v**2/7 + 52*v/7 - 38.
-2*(v - 19)*(v - 7)/7
Factor -3*y**4 + 9*y**3 + 27*y**2 - 69*y + 36.
-3*(y - 4)*(y - 1)**2*(y + 3)
Find j such that -j**2 + 21*j - 108 = 0.
9, 12
Factor q**2/4 + 93*q/2 + 182.
(q + 4)*(q + 182)/4
Find x such that 2*x**2/3 + 14*x + 72 = 0.
-12, -9
What is b in 22*b**3 + 23*b**2 - 43*b - 2 = 0?
-2, -1/22, 1
Solve 3*y**2 - 576*y + 27648 = 0 for y.
96
Factor -h**4/12 + h**3/3 + 5*h**2/6 - 7*h/3 + 5/4.
-(h - 5)*(h - 1)**2*(h + 3)/12
Factor -2*b**4/5 - 2*b**3 + 12*b**2/5.
-2*b**2*(b - 1)*(b + 6)/5
Solve -2*d**5/11 + 158*d**4/11 - 3198*d**3/11 + 3042*d**2/11 = 0 for d.
0, 1, 39
Factor -5*m**3 - 5*m**2 + 25*m - 15.
-5*(m - 1)**2*(m + 3)
Factor -4*i**4/3 - 4*i**3/3 + 16*i**2/3 + 16*i/3.
-4*i*(i - 2)*(i + 1)*(i + 2)/3
Factor -3*h**2 + 18*h + 48.
-3*(h - 8)*(h + 2)
Suppose -2*t**3/3 - 116*t**2/9 + 80*t/9 = 0. Calculate t.
-20, 0, 2/3
Solve x**4/2 + 3*x**3/2 + x**2/2 - 3*x/2 - 1 = 0.
-2, -1, 1
Determine u, given that 2*u**4/3 + 152*u**3/3 + 148*u**2 + 440*u/3 + 146/3 = 0.
-73, -1
Factor -c**3/6 + 19*c**2/6 - 3*c.
-c*(c - 18)*(c - 1)/6
Solve -2*y**3 + 48*y**2 - 310*y + 600 = 0 for y.
4, 5, 15
Factor 2*v**3/3 + 309*v**2/2 + 346*v/3 - 77/2.
(v + 1)*(v + 231)*(4*v - 1)/6
Let -2*f**5/11 + 10*f**4/11 + 18*f**3/11 - 34*f**2/11 - 16*f/11 + 24/11 = 0. Calculate f.
-2, -1, 1, 6
Determine d, given that -4*d**2 + 4*d + 48 = 0.
-3, 4
Solve 2*p**5/5 + 32*p**4/5 - 238*p**3/5 + 548*p**2/5 - 104*p + 176/5 = 0 for p.
-22, 1, 2
Suppose -5*l**5 - 95*l**4 - 505*l**3 - 745*l**2 - 330*l = 0. Calculate l.
-11, -6, -1, 0
Factor 27*w**3/4 + 1737*w**2/4 + 570*w + 189.
3*(w + 63)*(3*w + 2)**2/4
Factor 3*x**2 - 57*x.
3*x*(x - 19)
Factor 4*j**3 + 776*j**2 + 7460*j + 18400.
4*(j + 5)**2*(j + 184)
Factor 3863205*r**3/4 - 2335503*r**2/4 + 2642*r - 3.
(5*r - 3)*(879*r - 2)**2/4
Find v such that 2*v**2 - 98*v + 96 = 0.
1, 48
Let -2*x**5/15 + 196*x**4/15 - 1598*x**3/5 - 784*x**2/15 + 19208*x/15 = 0. What is x?
-2, 0, 2, 49
Determine t, given that -3*t**3/8 - 15*t**2/8 + 27*t/2 = 0.
-9, 0, 4
Factor l**4 - 13*l**3 + 32*l**2 - 20*l.
l*(l - 10)*(l - 2)*(l - 1)
Factor -v**4/4 + 3*v**3/2 - v**2 - 3*v/2 + 5/4.
-(v - 5)*(v - 1)**2*(v + 1)/4
Factor -n**4/3 - 8*n**3/3 - 7*n**2/3.
-n**2*(n + 1)*(n + 7)/3
Factor 2*m**5 - 52*m**4 - 360*m**3 - 752*m**2 - 512*m.
2*m*(m - 32)*(m + 2)**3
Find v such that -2*v**4 + 8*v**3 - 6*v**2 - 8*v + 8 = 0.
-1, 1, 2
Factor 9140*p**2 + 9132*p - 8.
4*(p + 1)*(2285*p - 2)
Suppose 5*a**3 + 315*a**2 = 0. What is a?
-63, 0
Factor 4*w**4 - 40*w**3 + 116*w**2 - 32*w - 192.
4*(w - 4)**2*(w - 3)*(w + 1)
Factor -84*v**5 + 160*v**4 - 68*v**3 - 8*v**2.
-4*v**2*(v - 1)**2*(21*v + 2)
Factor b**3 + 3*b**2 - 58*b + 120.
(b - 4)*(b - 3)*(b + 10)
Suppose 18*d**5/7 - 21*d**4 + 261*d**3/7 - 24*d**2 + 36*d/7 = 0. What is d?
0, 1/2, 2/3, 1, 6
Suppose -2*a**3/7 + 274*a**2/7 - 542*a/7 + 270/7 = 0. What is a?
1, 135
Suppose 22*n**2/3 + 160*n/3 - 136 = 0. What is n?
-102/11, 2
Factor 3*c**3 + 138*c**2 - 435*c + 294.
3*(c - 2)*(c - 1)*(c + 49)
Let 109*q**4 - 326*q**3/3 - q**2/3 = 0. Calculate q.
-1/327, 0, 1
Factor 5*p**2 - 350*p + 345.
5*(p - 69)*(p - 1)
Determine v so that 5*v**3 - 15*v**2 - 45*v - 25 = 0.
-1, 5
Determine m so that -2*m**3/7 - 8*m**2/7 - 6*m/7 = 0.
-3, -1, 0
Let 4*d**5 - 132*d**4/7 - 404*d**3/7 - 300*d**2/7 - 8*d = 0. What is d?
-1, -2/7, 0, 7
Factor -7*j**4/3 + 16*j**3/3 + 17*j**2/3 - 2*j.
-j*(j - 3)*(j + 1)*(7*j - 2)/3
Factor 4*j**2/3 + 484*j.
4*j*(j + 363)/3
What is h in h**4/2 + 78*h**3 + 2882*h**2 - 12480*h + 12800 = 0?
-80, 2
Let 18*j**5 + 842*j**4 + 7372*j**3 - 58776*j**2 + 61360*j - 10816 = 0. Calculate j.
-26, 2/9, 1, 4
Factor s**2/4 - 13*s/2 + 36.
(s - 18)*(s - 8)/4
Solve 100*g**5/7 - 500*g**4/7 + 112*g**3 - 320*g**2/7 - 128*g/7 + 64/7 = 0.
-2/5, 2/5, 1, 2
What is m in 4*m**5 - 4*m**4 - 116*m**3 - 316*m**2 - 320*m - 112 = 0?
-2, -1, 7
Suppose -2*l**2/5 + 44*l/5 - 42/5 = 0. Calculate l.
1, 21
Solve 3*w**3/7 + 33*w**2/7 - 3*w/7 - 33/7 = 0 for w.
-11, -1, 1
Determine d so that -d**2/2 + 896*d + 5385/2 = 0.
-3, 1795
Let -2187*r**5/4 - 243*r**4/4 + 540*r**3 - 18*r**2 - 84*r - 12 = 0. What is r?
-1, -2/9, 2/3
Factor p**5/2 - 2*p**4 - 11*p**3/2 - 3*p**2.
p**2*(p - 6)*(p + 1)**2/2
Determine l so that -l**5/8 + 11*l**4/8 - 27*l**3/8 - 67*l**2/8 + 40*l - 75/2 = 0.
-3, 2, 5
Suppose -3*v**2 - 264*v + 819 = 0. Calculate v.
-91, 3
Solve 2*i**5 + 164*i**4 + 3522*i**3 + 6560*i**2 + 3200*i = 0.
-40, -1, 0
Let 10*x**5 + 5*x**4 - 55*x**3 - 50*x**2 = 0. Calculate x.
-2, -1, 0, 5/2
Factor q**2/12 + 3112*q/3 + 9684544/3.
(q + 6224)**2/12
Determine l so that 5*l**5 + 510*l**4 - 30*l**3 - 3020*l**2 + 4065*l - 1530 = 0.
-102, -3, 1
Solve 5*o**5 - 275*o**4 + 3545*o**3 - 11565*o**2 - 15390*o = 0.
-1, 0, 9, 38
Factor 5*m**3 + 1110*m**2 + 1105*m.
5*m*(m + 1)*(m + 221)
Suppose -x**3 + 44*x**2 - 437*x - 1058 = 0. Calculate x.
-2, 23
Factor 2*z**3/7 + 370*z**2/7 + 15744*z/7 - 18432.
2*(z - 7)*(z + 96)**2/7
Factor h**3 - 62*h**2 + 61*h.
h*(h - 61)*(h - 1)
Find j such that -2*j**4/3 + 12*j**3 - 34*j**2/3 = 0.
0, 1, 17
Factor -6*c**3 + 52*c**2 - 128*c + 64.
-2*(c - 4)**2*(3*c - 2)
Suppose 49*u**5/4 + 1085*u**4/8 + 393*u**3 + 2569*u**2/8 + 199*u/2 + 21/2 = 0. What is u?
-7, -3, -1/2, -2/7
Suppose x**2/5 + 298*x/5 = 0. What is x?
-298, 0
Determine c so that -4*c**5/9 + 8*c**4/9 + 88*c**3/3 - 192*c**2 + 444*c - 360 = 0.
-10, 3
Solve 60*