5
Solve -4*h**3/5 - 8*h**2/5 + 4*h + 24/5 = 0.
-3, -1, 2
Let 75*o**5/7 - 105*o**4 + 2577*o**3/7 - 3753*o**2/7 + 1944*o/7 - 324/7 = 0. Calculate o.
2/5, 3
Let -2*g**4/3 - 100*g**3/3 - 448*g**2/3 + 100*g/3 + 150 = 0. Calculate g.
-45, -5, -1, 1
Factor -3*u**3 - 276*u**2 - 531*u + 810.
-3*(u - 1)*(u + 3)*(u + 90)
Suppose -375*v**4 + 8400*v**3 + 5130*v**2 + 1032*v + 69 = 0. What is v?
-1/5, 23
Factor -k**2/3 - 3*k + 22/3.
-(k - 2)*(k + 11)/3
Find d such that 3*d**4/7 - 30*d**3/7 - 183*d**2/7 + 30*d = 0.
-5, 0, 1, 14
Factor 69*v**4 + 141*v**3 + 6*v**2.
3*v**2*(v + 2)*(23*v + 1)
Factor 5*k**4/3 - 6*k**3 - 11*k**2 - 10*k/3.
k*(k - 5)*(k + 1)*(5*k + 2)/3
Factor -5*b**4/2 + 1600*b**3 - 254395*b**2 - 513600*b - 515205/2.
-5*(b - 321)**2*(b + 1)**2/2
Find u such that 3*u**4/8 + 15*u**3/8 + 3*u**2 + 3*u/2 = 0.
-2, -1, 0
Suppose 4*n**5 + 34*n**4 + 98*n**3 + 98*n**2 - 6*n - 36 = 0. What is n?
-3, -2, -1, 1/2
Factor 2*f**3 + 696*f**2 + 2760*f + 2752.
2*(f + 2)**2*(f + 344)
Determine x, given that 3*x**2 + 333*x + 330 = 0.
-110, -1
Factor -p**5/10 + 77*p**4/5 - 1813*p**3/10 - 158466*p**2/5 - 2117682*p/5.
-p*(p - 98)**2*(p + 21)**2/10
Let -g**4/6 + 29*g**3/3 - 317*g**2/6 + 130*g/3 = 0. What is g?
0, 1, 5, 52
Factor -n**3/5 - 972*n**2/5 + 973*n/5.
-n*(n - 1)*(n + 973)/5
Determine i so that 4*i**3 + 22*i**2 - 134*i - 72 = 0.
-9, -1/2, 4
Find d, given that d**3/5 - 639*d**2/5 - 642*d/5 + 256 = 0.
-2, 1, 640
Find d, given that 5*d**4 - 15*d**3 - 30*d**2 + 140*d - 120 = 0.
-3, 2
Factor -2*s**3 + 232*s**2 - 682*s + 452.
-2*(s - 113)*(s - 2)*(s - 1)
Factor -4*m**4 - 68*m**3 + 336*m**2 + 1600*m - 6400.
-4*(m - 4)**2*(m + 5)*(m + 20)
Factor 28*r**2 + 16*r - 384.
4*(r + 4)*(7*r - 24)
Find k such that -5*k**3 - 30*k**2 - 55*k - 30 = 0.
-3, -2, -1
Find f such that -3*f**4 + 78*f**3 - 324*f**2 + 162*f + 567 = 0.
-1, 3, 21
Solve -2*c**2/3 - 14*c = 0 for c.
-21, 0
Suppose -14*f**3/3 + 86*f**2/3 - 4*f = 0. Calculate f.
0, 1/7, 6
Determine b so that 3*b**3/2 + 7743*b**2/2 - 3873*b = 0.
-2582, 0, 1
Determine x, given that -x**5/2 + 4*x**4 + x**3 - 8*x**2 - x/2 + 4 = 0.
-1, 1, 8
Factor 2*o**4 - 184*o**3 + 3848*o**2 + 17664*o + 18432.
2*(o - 48)**2*(o + 2)**2
Factor -k**5 + 53*k**4 - 545*k**3 - 4553*k**2 + 5046*k.
-k*(k - 29)**2*(k - 1)*(k + 6)
Factor -5*g**3 - 90*g**2 + 200*g.
-5*g*(g - 2)*(g + 20)
Factor -8*b**3 - 82*b**2/5 - 4*b/5.
-2*b*(b + 2)*(20*b + 1)/5
Find l, given that l**3/4 + 3*l**2/2 - 9*l - 54 = 0.
-6, 6
Factor -k**5/6 - 23*k**4/6 - 30*k**3 - 296*k**2/3 - 352*k/3.
-k*(k + 4)**3*(k + 11)/6
Factor -m**3 - 11*m**2/2 + 40*m - 50.
-(m - 2)*(m + 10)*(2*m - 5)/2
Factor -4*p**2 + 452*p - 448.
-4*(p - 112)*(p - 1)
Suppose -2*t**2/5 - 1608*t/5 - 323208/5 = 0. What is t?
-402
Factor i**5/3 - 23*i**4 - 70*i**3/3.
i**3*(i - 70)*(i + 1)/3
What is o in -10*o**3/9 + 16*o**2/9 + 22*o/3 - 8 = 0?
-12/5, 1, 3
Factor -x**2/4 - 113*x/2 - 12769/4.
-(x + 113)**2/4
Suppose -7*w**2/4 - 191*w/4 - 27/2 = 0. Calculate w.
-27, -2/7
Factor 2*k**5 - 64*k**4 + 704*k**3 - 3072*k**2 + 4608*k.
2*k*(k - 12)**2*(k - 4)**2
Factor -3*i**2 + 558*i + 1128.
-3*(i - 188)*(i + 2)
Suppose 2*x**5/15 - 2*x**4 = 0. What is x?
0, 15
Factor -2*j**5/5 + 2*j**4 - 18*j**3/5 + 14*j**2/5 - 4*j/5.
-2*j*(j - 2)*(j - 1)**3/5
Solve 2*g**3 + 2950*g**2 + 1089286*g + 1086338 = 0 for g.
-737, -1
Determine l so that -l**2 - 16*l - 39 = 0.
-13, -3
Factor -d**4 - 8*d**3 - 9*d**2 + 18*d.
-d*(d - 1)*(d + 3)*(d + 6)
Determine i so that -6*i**4/17 + 28*i**3/17 - 2*i**2/17 - 52*i/17 - 16/17 = 0.
-1, -1/3, 2, 4
Factor 2*n**3/9 + 56*n**2/9 + 130*n/9 - 500/9.
2*(n - 2)*(n + 5)*(n + 25)/9
Find q, given that 2*q**3/3 + 26*q**2/3 + 8*q = 0.
-12, -1, 0
Solve 14*z**2/5 + 12*z/5 - 32/5 = 0 for z.
-2, 8/7
Factor -3*p**3 + 12*p**2 - 9*p.
-3*p*(p - 3)*(p - 1)
Find k such that -2*k**3/5 - 4*k**2/5 + 482*k/5 - 476/5 = 0.
-17, 1, 14
Determine s so that -2*s**4 - 2*s**3 + 4*s**2 = 0.
-2, 0, 1
Find h, given that -3*h**2 - 30*h - 72 = 0.
-6, -4
What is b in 2*b**3/7 + 8*b**2/7 - 24*b/7 = 0?
-6, 0, 2
Determine m, given that -15*m**3 - 160*m**2 - 95*m + 50 = 0.
-10, -1, 1/3
Factor -m**3/9 + 25*m**2/3 - 143*m - 507.
-(m - 39)**2*(m + 3)/9
Factor -6*c**3/7 + 2*c**2 - 4*c/7.
-2*c*(c - 2)*(3*c - 1)/7
Factor c**5/2 + 5*c**4/2 - 3*c**3 - 16*c**2 + 16*c.
c*(c - 2)*(c - 1)*(c + 4)**2/2
Suppose -5*r**3 - 290*r**2 + 4020*r - 12600 = 0. What is r?
-70, 6
Let 2*c**4 + 72*c**3 + 204*c**2 + 200*c + 66 = 0. Calculate c.
-33, -1
Let 2*g**2/19 - 4*g/19 + 2/19 = 0. Calculate g.
1
Let -2*k**3/3 + 4*k**2 + 14*k/3 = 0. What is k?
-1, 0, 7
Factor -3*o**3 + 639*o**2 - 636*o.
-3*o*(o - 212)*(o - 1)
Let 2*u**5/5 + 4*u**4/5 - 2*u**3/5 - 4*u**2/5 = 0. Calculate u.
-2, -1, 0, 1
Solve 3*r**5/8 - 9*r**4/4 + 9*r**3/2 - 3*r**2 = 0.
0, 2
Suppose 2*s**2/9 - 128*s/9 + 248/9 = 0. What is s?
2, 62
Factor 2*w**4/9 - 8*w**3/9 + 4*w**2/9 + 8*w/9 - 2/3.
2*(w - 3)*(w - 1)**2*(w + 1)/9
What is i in -2*i**3/11 + 26*i**2/11 - 102*i/11 + 126/11 = 0?
3, 7
What is a in 18*a**3/5 + 2616*a**2/5 + 3432*a/5 - 3456/5 = 0?
-144, -2, 2/3
Find m such that 2*m**5/21 - 22*m**4/21 - 52*m**3/21 - 4*m**2/21 + 50*m/21 + 26/21 = 0.
-1, 1, 13
Factor -2*k**4/17 + 8*k**3/17 - 10*k**2/17 + 4*k/17.
-2*k*(k - 2)*(k - 1)**2/17
Factor -4*p**3 - 28*p**2 + 4*p + 28.
-4*(p - 1)*(p + 1)*(p + 7)
Factor 45*x**3 - 2040*x**2 - 1375*x - 230.
5*(x - 46)*(3*x + 1)**2
Determine x so that 28*x**2 - 2624*x - 752 = 0.
-2/7, 94
Find a, given that -4*a**2 + 67112*a - 281501284 = 0.
8389
Determine v, given that v**2/7 - 33*v/7 = 0.
0, 33
Find l, given that 2*l**5 + 244*l**4 - 996*l**3 + 1504*l**2 - 1006*l + 252 = 0.
-126, 1
Find u such that 12*u**2 + 40*u/3 + 4/3 = 0.
-1, -1/9
Factor -3*p**4 - 69*p**3 - 486*p**2 - 1020*p - 600.
-3*(p + 1)*(p + 2)*(p + 10)**2
Solve -3*q**5/2 - 30*q**4 + 801*q**3/2 - 1425*q**2 + 1776*q - 720 = 0.
-30, 1, 4
Solve 8*p**3/7 + 66*p**2/7 + 6*p/7 - 80/7 = 0.
-8, -5/4, 1
Factor -o**4/9 - o**3/9 + o**2/9 + o/9.
-o*(o - 1)*(o + 1)**2/9
Factor b**2 + 543*b + 1082.
(b + 2)*(b + 541)
Solve 3*y**5 + 42*y**4 + 183*y**3 + 252*y**2 + 108*y = 0.
-6, -1, 0
Factor 11*k**4 + 57*k**3 + 10*k**2.
k**2*(k + 5)*(11*k + 2)
Factor n**3/3 + 26*n**2/3 - 9*n.
n*(n - 1)*(n + 27)/3
Factor 4*f**4 + 20*f**3.
4*f**3*(f + 5)
Let -4*l**2 + 28*l - 24 = 0. What is l?
1, 6
Find s, given that -3*s**3/8 + 135*s**2/8 + 825*s/4 = 0.
-10, 0, 55
Suppose 4*d**2/7 + 536*d/7 - 1088/7 = 0. What is d?
-136, 2
Factor 4*h**3 - 64*h.
4*h*(h - 4)*(h + 4)
Let -m**2/3 + 11*m/3 - 28/3 = 0. Calculate m.
4, 7
Find c such that 2*c**5/13 + 196*c**4/13 + 6316*c**3/13 + 72368*c**2/13 + 15114*c - 56628 = 0.
-39, -11, 2
Factor -2*f**4/3 + 34*f**3/3 - 42*f**2 - 54*f.
-2*f*(f - 9)**2*(f + 1)/3
Find j, given that 3*j**5 - 12*j**4 - 36*j**3 + 192*j**2 - 192*j = 0.
-4, 0, 2, 4
Find x, given that -15*x**4 - 10*x**3 + 15*x**2 + 10*x = 0.
-1, -2/3, 0, 1
Let 2*y**2/5 - 10*y = 0. Calculate y.
0, 25
What is s in -2*s**5/11 + 6*s**4/11 + 84*s**3/11 + 200*s**2/11 + 144*s/11 = 0?
-2, 0, 9
Suppose m**5/2 + 43*m**4 + 923*m**3 - 130*m**2 - 5719*m/2 - 1849 = 0. Calculate m.
-43, -1, 2
Factor j**5/5 - 38*j**4/5 + 73*j**3/5 - 36*j**2/5.
j**2*(j - 36)*(j - 1)**2/5
Factor -2*o**3 - 6*o**2 - 4*o.
-2*o*(o + 1)*(o + 2)
Factor 2*b**2 - 8148*b + 8298738.
2*(b - 2037)**2
Determine o, given that o**3 - 137*o**2 - 278*o = 0.
-2, 0, 139
Factor -2*g**3 - 18*g**2 - 30*g + 50.
-2*(g - 1)*(g + 5)**2
Find v, given that -v**5 + 9*v**4 + 12*v**3 - 20*v**2 = 0.
-2, 0, 1, 10
Factor 5*z**2 - 20*z + 20.
5*(z - 2)**2
Factor 2*m**4/9 - 4*m**3/9 - 8*m**2/9 + 16*m/9.
2*m*(m - 2)**2*(m + 2)/9
Factor b**2 - 2*b + 1.
(b - 1)**2
Factor -5*a**2 - 1225*a - 1220.
-5*(a + 1)*(a + 244)
Determine c, given that 12*c**5 + 1048*c**4 - 1784*c**3 - 336*c**2 + 1772*c - 712 = 0.
-89, -1, 2/3, 1
Let 2*v**3 + 120*v**2 + 1714*v - 1836 = 0. Calculate v.
-34, -27, 1
Factor h**2 - 408*h - 820.
(h - 410)*(h + 2)
Solve o**2/3 - o/3 - 2/3 = 0 for o.
-1, 2
Suppose -2*p**3 + 2*p**2 + 18*p - 18 = 0. What is p?
-3, 1, 3
Let i**5/4 + 15*i**4/4 + 39*i**3/2 + 40*i**2 + 24*i = 0. What is i?
-6, -4, -1, 0
Solve -3*k**5 + 3180*k**4 - 1121475*k**3 + 130833090*k**2 + 265043340*k + 133085592 = 0.
-1, 354
Factor 2*o**4 + 36*o**3 + 32*o**2 - 36*o - 34.
2*(o - 1)*(o + 1)**2*(o + 17)
Let -24*t**5/5 + 2328*t**4/5 - 918*t**3 + 2856*t**2/5 - 114*t = 0. Calculate