- 2)*(l + 1)
Let -5*f**4 - 45*f**3 - 115*f**2 - 15*f + 180 = 0. Calculate f.
-4, -3, 1
Factor -237*g**3 - 939*g**2 - 912*g + 36.
-3*(g + 2)**2*(79*g - 3)
Factor 2*v**3/13 - 10*v**2/13 - 28*v/13.
2*v*(v - 7)*(v + 2)/13
Factor k**4 + 51*k**3 + 192*k**2 + 188*k.
k*(k + 2)**2*(k + 47)
Factor 2*m**2/3 - 662*m.
2*m*(m - 993)/3
Let -4*u**4 + 24*u**3 + 124*u**2 - 624*u - 720 = 0. What is u?
-5, -1, 6
Factor -l**2/2 + 6189*l - 38303721/2.
-(l - 6189)**2/2
Factor -k**2/4 - 2690*k - 7236100.
-(k + 5380)**2/4
Factor r**4 + 3*r**3 - 69*r**2 - 35*r + 900.
(r - 5)**2*(r + 4)*(r + 9)
Let -6*h**5 - 15*h**4 + 357*h**3/8 + 231*h**2/8 - 87*h/4 + 3 = 0. Calculate h.
-4, -1, 1/4, 2
Factor 2*s**4 + 16*s**3 + 42*s**2 + 44*s + 16.
2*(s + 1)**2*(s + 2)*(s + 4)
Let -32*o**2 - 148*o - 80 = 0. What is o?
-4, -5/8
Solve -3*t**4 - 15*t**3 - 18*t**2 = 0 for t.
-3, -2, 0
Determine u, given that u**2/7 - 655*u/7 + 654/7 = 0.
1, 654
Find a such that 8*a**3/3 - 22*a**2 - 56*a/3 + 6 = 0.
-1, 1/4, 9
Factor 3*t**4/2 + 3*t**3/2 - 6*t**2 - 6*t.
3*t*(t - 2)*(t + 1)*(t + 2)/2
Factor -21*w**4/4 - 87*w**3/2 - 477*w**2/4 - 108*w.
-3*w*(w + 3)**2*(7*w + 16)/4
Solve -81*x**5 - 90*x**4 + 309*x**3 + 258*x**2 - 228*x - 168 = 0 for x.
-2, -1, -2/3, 1, 14/9
Find b, given that -3*b**2 - 768*b + 4716 = 0.
-262, 6
Determine l so that -l**5/2 + 17*l**4/2 - 21*l**3 - 2*l**2 + 28*l = 0.
-1, 0, 2, 14
Factor 3*w**2 + 2049*w.
3*w*(w + 683)
Factor -3*v**3 - 945*v**2 - 18000*v - 88500.
-3*(v + 10)**2*(v + 295)
Suppose d**2/2 + 6406*d + 20518418 = 0. Calculate d.
-6406
Let -15*q**5 - 10*q**4 + 270*q**3 + 660*q**2 + 545*q + 150 = 0. What is q?
-3, -1, -2/3, 5
Suppose 2*d**3/3 - 14*d**2 - 64*d - 200/3 = 0. Calculate d.
-2, 25
Find q such that 3*q**2/5 + 87*q/5 + 72 = 0.
-24, -5
Determine o so that 3*o**2/8 + 3*o + 21/8 = 0.
-7, -1
Factor 3*v**3/8 - 9*v**2/2 + 135*v/8 - 75/4.
3*(v - 5)**2*(v - 2)/8
Factor c**3 - 215*c**2 + 1056*c - 1260.
(c - 210)*(c - 3)*(c - 2)
Suppose 38*z**2/5 - 8*z + 2/5 = 0. What is z?
1/19, 1
Factor -3*p**5 - 6*p**4.
-3*p**4*(p + 2)
Determine p, given that -5*p**3 - 3095*p**2 - 480495*p - 477405 = 0.
-309, -1
Factor 4*h**5 - 68*h**4 + 224*h**3 - 208*h**2.
4*h**2*(h - 13)*(h - 2)**2
Factor 2*s**5/5 - 14*s**4/5 - 16*s**3/5.
2*s**3*(s - 8)*(s + 1)/5
Factor -1612*a**2/15 - 1074*a/5 + 4/15.
-2*(a + 2)*(806*a - 1)/15
Suppose 10*g**4/13 - 14*g**3/13 - 76*g**2/13 + 152*g/13 - 48/13 = 0. Calculate g.
-3, 2/5, 2
Factor 2*v**3/15 + 226*v**2/15 + 44*v/3 - 448/15.
2*(v - 1)*(v + 2)*(v + 112)/15
Determine c so that -2*c**4/7 + 6*c**3/7 + 18*c**2/7 - 54*c/7 = 0.
-3, 0, 3
Let -4*y**2/7 - 4344*y/7 - 1179396/7 = 0. Calculate y.
-543
Solve -p**2/5 - 264*p/5 - 17424/5 = 0.
-132
Find o such that 338*o**5/9 - 3068*o**4/9 + 5402*o**3/9 + 2360*o**2/3 + 200*o = 0.
-6/13, 0, 5
What is q in 2*q**5/7 - 2*q**4/7 - 10*q**3/7 - 6*q**2/7 = 0?
-1, 0, 3
Let 3*h**2/4 + 33*h/2 + 30 = 0. Calculate h.
-20, -2
Factor -4*y**3 + 96*y**2.
-4*y**2*(y - 24)
What is c in 3*c**4 - 12*c**3 + 6*c**2 + 12*c - 9 = 0?
-1, 1, 3
Factor 2*a**3 + 172*a**2 + 3520*a - 7744.
2*(a - 2)*(a + 44)**2
Factor f**3 + 11*f**2 - 4*f - 44.
(f - 2)*(f + 2)*(f + 11)
What is z in z**5/5 - 2*z**4 - 3*z**3/5 + 28*z**2/5 + 4*z = 0?
-1, 0, 2, 10
Factor 20*h**4 - 220*h**3 + 885*h**2 - 1540*h + 980.
5*(h - 2)**2*(2*h - 7)**2
Suppose v**3/6 - v**2/6 - 4*v/3 + 2 = 0. What is v?
-3, 2
Factor 3*a**2 + 1356*a - 1359.
3*(a - 1)*(a + 453)
Let -2*b**3/7 - 468*b**2/7 - 4498*b/7 - 576 = 0. What is b?
-224, -9, -1
Let i**2/4 + i/4 - 3 = 0. Calculate i.
-4, 3
Factor -2*n**4 + 26*n**3 + 166*n**2 + 246*n + 108.
-2*(n - 18)*(n + 1)**2*(n + 3)
Factor -b**3 + 31*b + 30.
-(b - 6)*(b + 1)*(b + 5)
Suppose 3*m**3/8 - 9*m**2/2 - 129*m/8 - 45/4 = 0. Calculate m.
-2, -1, 15
Factor m**2/6 + 1708*m + 4375896.
(m + 5124)**2/6
Solve 2*o**4 + 170*o**3 + 164*o**2 - 336*o = 0 for o.
-84, -2, 0, 1
Let -4*a**4 - 60*a**3 - 108*a**2 - 52*a = 0. Calculate a.
-13, -1, 0
Suppose -2*d**2/13 - 60*d/13 - 450/13 = 0. Calculate d.
-15
Factor -3*o**3 + 471*o**2 - 17760*o - 57600.
-3*(o - 80)**2*(o + 3)
Suppose -10*a**2 - 52*a + 510 = 0. Calculate a.
-51/5, 5
Let p**3 - 109*p**2 + 3024*p - 2916 = 0. What is p?
1, 54
Factor 2*w**4 - 40*w**3 + 74*w**2 - 36*w.
2*w*(w - 18)*(w - 1)**2
Factor -l**3 + l**2/3 + 4*l - 4/3.
-(l - 2)*(l + 2)*(3*l - 1)/3
Solve 18*s**2/7 + 34*s/7 + 16/7 = 0.
-1, -8/9
Determine h, given that 30*h**5 - 85*h**4 - 165*h**3 + 65*h**2 + 135*h + 20 = 0.
-1, -1/6, 1, 4
Let -2*q**3 - 24*q**2 = 0. Calculate q.
-12, 0
Suppose z**4/10 + z**3/2 + 2*z**2/5 = 0. What is z?
-4, -1, 0
Determine i, given that -i**2 + 1817*i + 1818 = 0.
-1, 1818
Factor 21*x**3/2 + 102*x**2 + 303*x/2 + 60.
3*(x + 1)*(x + 8)*(7*x + 5)/2
Factor -f**4/2 - 53*f**3/2 - 545*f**2/2 + 4553*f/2 + 2523.
-(f - 6)*(f + 1)*(f + 29)**2/2
Factor -5*x**2 - 295*x - 1590.
-5*(x + 6)*(x + 53)
Let -y**3 + 5*y**2/2 - 2*y + 1/2 = 0. What is y?
1/2, 1
Factor 2*z**3/3 - 66*z**2 + 1132*z/3 - 496.
2*(z - 93)*(z - 4)*(z - 2)/3
Factor 5*p**3 - 78*p**2 + 108*p + 56.
(p - 14)*(p - 2)*(5*p + 2)
Factor w**4/3 - 4*w**3 + 35*w**2/3 - 8*w.
w*(w - 8)*(w - 3)*(w - 1)/3
Factor -d**2 - 13056*d - 42614784.
-(d + 6528)**2
Factor q**4/5 + 44*q**3/5 + 598*q**2/5 + 2508*q/5 + 3249/5.
(q + 3)**2*(q + 19)**2/5
Factor -g**4 + 31*g**3 - 57*g**2 - 1287*g - 2430.
-(g - 27)*(g - 10)*(g + 3)**2
Let 3*t**3/5 - 27*t**2/5 + 81*t/5 - 81/5 = 0. What is t?
3
Factor 46*p**3/3 - 376*p**2/3 + 616*p/3 - 32.
2*(p - 6)*(p - 2)*(23*p - 4)/3
Determine f, given that f**2 - 2423*f - 4850 = 0.
-2, 2425
Factor -m**4/4 + 5*m**3/2 + m**2 - 77*m/2 - 147/4.
-(m - 7)**2*(m + 1)*(m + 3)/4
Factor i**4/2 + 21*i**3/2 + 39*i**2/2 + 19*i/2.
i*(i + 1)**2*(i + 19)/2
Factor 5*a**5/3 + 20*a**4/3 + 25*a**3/3 + 10*a**2/3.
5*a**2*(a + 1)**2*(a + 2)/3
Solve -2*q**3/7 - 48*q**2 = 0.
-168, 0
Factor -20*v**3 - 145*v**2 + 1165*v + 300.
-5*(v - 5)*(v + 12)*(4*v + 1)
Factor -3*f**3 + 426*f**2 + 861*f + 432.
-3*(f - 144)*(f + 1)**2
Factor -2*k**3 - 3*k**2 + 3*k + 2.
-(k - 1)*(k + 2)*(2*k + 1)
Solve -u**3 + 50*u**2/3 - 116*u/3 + 56/3 = 0 for u.
2/3, 2, 14
Factor -107811*b**4/4 + 29403*b**3 - 5049*b**2/2 + 75*b - 3/4.
-3*(b - 1)*(33*b - 1)**3/4
Determine a so that -2*a**4 + 52*a**3 + 2742*a**2 + 24248*a + 21560 = 0.
-14, -1, 55
Factor 2*k**4/3 - 38*k**3 + 204*k**2.
2*k**2*(k - 51)*(k - 6)/3
Factor k**3 + 11*k**2.
k**2*(k + 11)
Factor -m**2/3 + 1471*m/3 - 2938/3.
-(m - 1469)*(m - 2)/3
Factor 2*k**5 + 14*k**4 + 4*k**3 - 128*k**2 - 192*k.
2*k*(k - 3)*(k + 2)*(k + 4)**2
Determine u so that u**5/6 - 2*u**4/3 - u**3/6 + 2*u**2/3 = 0.
-1, 0, 1, 4
Factor -3*c**2/7 + 3*c/7 + 330/7.
-3*(c - 11)*(c + 10)/7
Find q such that -4*q**3 + 8*q**2 + 4*q - 8 = 0.
-1, 1, 2
Factor 15*g**3 - 385*g**2 - 140*g + 260.
5*(g - 26)*(g + 1)*(3*g - 2)
Factor 5*p**3 + 85*p**2 + 280*p + 260.
5*(p + 2)**2*(p + 13)
Factor -5*x**3/3 - 610*x**2/3 - 6400*x - 12000.
-5*(x + 2)*(x + 60)**2/3
Solve -2*o**3 - 16*o**2 - 42*o - 36 = 0 for o.
-3, -2
Factor -4*k**2/3 + 256*k + 1552/3.
-4*(k - 194)*(k + 2)/3
What is i in -2*i**5 - 32*i**4 + 112*i**3 - 44*i**2 - 110*i + 76 = 0?
-19, -1, 1, 2
Factor a**3/4 + 7*a**2/4 - 17*a/4 + 9/4.
(a - 1)**2*(a + 9)/4
Solve 8*q**2/7 - 50*q/7 + 12/7 = 0.
1/4, 6
Suppose t**5 - t**4 - 5*t**3 + t**2 + 8*t + 4 = 0. What is t?
-1, 2
Factor -87*t**2 - 171*t + 6.
-3*(t + 2)*(29*t - 1)
Factor m**2/2 + 1152*m - 2305/2.
(m - 1)*(m + 2305)/2
Factor -19*k**3/5 - 44*k**2/5 - 12*k/5.
-k*(k + 2)*(19*k + 6)/5
Determine x so that -8*x**4/5 + 68*x**3/5 - 88*x**2/5 + 28*x/5 = 0.
0, 1/2, 1, 7
Determine k, given that -3*k**4 - 18*k**3 - 15*k**2 = 0.
-5, -1, 0
Factor -3*y**4 - 462*y**3 - 19539*y**2 - 134904*y - 255792.
-3*(y + 4)**2*(y + 73)**2
Factor -t**5 + 141*t**4 + 285*t**3 + 143*t**2.
-t**2*(t - 143)*(t + 1)**2
Factor -4*o**3 + 28*o**2 + 192*o - 720.
-4*(o - 10)*(o - 3)*(o + 6)
Find y such that 2*y**2 - 10*y - 28 = 0.
-2, 7
Determine g, given that -2*g**2/3 - 74*g + 2420/3 = 0.
-121, 10
Factor 4*c**3/5 - 28*c**2/5 - 196*c/5 + 1372/5.
4*(c - 7)**2*(c + 7)/5
Find d, given that 25*d**5/2 - 135*d**4/2 - 150*d**3 + 70*d**2 = 0.
-2, 0, 2/5, 7
Let 14700*o**5 - 15120*o**4 + 423*o**3 - 3*o**2 = 0. What is o?
0, 1/70, 1
Find w such that -5*w**5 + 50*w**4 - 85*w**3 + 40*w**2 = 0.
0, 1, 8
Factor 3*c**4 - 39*c**3 - 9*c**2 + 111*c + 78.
3*(c - 13)*(c - 2)