 -2*y**2/5 + 8*y/5 + 24/5 = 0.
-2, 6
Solve d**4/3 - 74*d**3/3 = 0.
0, 74
Factor 3*o**3 + 270*o**2 + 6075*o + 40500.
3*(o + 15)**2*(o + 60)
Factor 2*w**4/7 - 2*w**3/7 - 4*w**2/7.
2*w**2*(w - 2)*(w + 1)/7
Determine q, given that -4*q**4 + 120*q**3 - 992*q**2 + 2304*q = 0.
0, 4, 8, 18
Suppose 192*h**5 - 50832*h**4 + 138660*h**3 - 84963*h**2 + 19656*h - 1572 = 0. Calculate h.
1/4, 2, 262
Factor -2*u**3/7 - 34*u**2/7 - 62*u/7 - 30/7.
-2*(u + 1)**2*(u + 15)/7
Find u such that 2*u**5/15 - 16*u**4/15 + 2*u**3/15 + 164*u**2/15 - 8*u/3 - 80/3 = 0.
-2, 2, 5
Solve -5*u**5 + 55*u**4 - 210*u**3 + 320*u**2 - 160*u = 0.
0, 1, 2, 4
Factor -2*s**4 - 4*s**3 + 78*s**2 + 304*s + 224.
-2*(s - 7)*(s + 1)*(s + 4)**2
Find w, given that 4*w**3/9 + 20*w**2/3 - 52*w - 7436/9 = 0.
-13, 11
Factor -n**3/4 - 29*n**2/2 - 841*n/4.
-n*(n + 29)**2/4
Solve -2*w**3/11 - 2*w**2/11 + 52*w/11 - 48/11 = 0 for w.
-6, 1, 4
Factor 5*u**2 - 195*u + 370.
5*(u - 37)*(u - 2)
Suppose -2*s**4/5 + 6*s**3/5 + 8*s**2/5 = 0. Calculate s.
-1, 0, 4
What is c in -4*c**4 - 12*c**3 - 12*c**2 - 4*c = 0?
-1, 0
Factor 4*s**4 - 28*s**3 + 60*s**2 - 36*s.
4*s*(s - 3)**2*(s - 1)
Let -12*j**5 + 51*j**4/5 + 75*j**3 + 48*j**2/5 - 36*j/5 = 0. Calculate j.
-2, -2/5, 0, 1/4, 3
Find v, given that 2*v**2/7 + 20*v/7 + 32/7 = 0.
-8, -2
Find h such that -2*h**5/21 + 62*h**4/21 - 20*h**3/7 = 0.
0, 1, 30
Find o such that 4*o**2 + 17336*o + 18783556 = 0.
-2167
Determine h, given that 2*h**3/13 + 3382*h**2/13 + 1428048*h/13 - 1431432/13 = 0.
-846, 1
Solve 8*j**5 - 4266*j**4 + 571370*j**3 - 708624*j**2 + 141512*j = 0 for j.
0, 1/4, 1, 266
Solve -9*b**5 + 38*b**4 + 163*b**3 + 88*b**2 - 28*b = 0.
-2, -1, 0, 2/9, 7
Factor -x**3 + 269*x**2 - 17955*x - 18225.
-(x - 135)**2*(x + 1)
Factor -4*y**2 + 88*y.
-4*y*(y - 22)
Suppose n**3/10 - 361*n**2/10 + 719*n/10 - 359/10 = 0. Calculate n.
1, 359
Suppose 15*i**5/4 + 16*i**4 - 63*i**3/4 - 9*i**2 + 5*i = 0. Calculate i.
-5, -2/3, 0, 2/5, 1
Factor 136*u**2 - 2044*u + 60.
4*(u - 15)*(34*u - 1)
Factor -2*p**5 - 2*p**4 + 12*p**3.
-2*p**3*(p - 2)*(p + 3)
Determine r so that r**2 + 19*r + 18 = 0.
-18, -1
What is j in 5*j**3 + 30*j**2 - 125*j + 90 = 0?
-9, 1, 2
Solve -98*y**5/3 - 476*y**4 - 5104*y**3/3 - 6496*y**2/3 - 864*y - 320/3 = 0 for y.
-10, -2, -2/7
Factor 2*o**2/11 + 58*o/11 - 24.
2*(o - 4)*(o + 33)/11
Find f such that -2*f**5 - 220*f**4 - 4984*f**3 - 32144*f**2 = 0.
-82, -14, 0
Solve 3*s**5 + 3*s**4 - 27*s**3 + 33*s**2 - 12*s = 0 for s.
-4, 0, 1
Factor 2*z**4 - 240*z**3 + 708*z**2 - 704*z + 234.
2*(z - 117)*(z - 1)**3
Factor 5*n**2 - 870*n + 37845.
5*(n - 87)**2
Factor -b**3 + 8*b**2 + 33*b.
-b*(b - 11)*(b + 3)
Find k such that k**3 - 23*k**2 + 62*k - 40 = 0.
1, 2, 20
Factor -4*u**4 + 1268*u**3 + 4*u**2 - 1268*u.
-4*u*(u - 317)*(u - 1)*(u + 1)
What is g in g**3/3 - 13*g**2 + 168*g - 2156/3 = 0?
11, 14
Factor -3*j**3/7 + 6*j**2/7 + 27*j.
-3*j*(j - 9)*(j + 7)/7
Factor 6165*m**2 - 1460*m + 20.
5*(9*m - 2)*(137*m - 2)
Factor -4*h**3 + 120*h**2 + 252*h + 128.
-4*(h - 32)*(h + 1)**2
Factor -l**3 - 29*l**2 - 104*l - 100.
-(l + 2)**2*(l + 25)
Factor 5*n**4 + 55*n**3 - 65*n**2 - 55*n + 60.
5*(n - 1)**2*(n + 1)*(n + 12)
Solve 3*a**2 + 822*a + 56307 = 0 for a.
-137
Factor x**2/7 + 33*x/7.
x*(x + 33)/7
Find r such that -r**5 - 14*r**4 - 13*r**3 = 0.
-13, -1, 0
Determine q, given that -4*q**2/3 - 508*q - 1520/3 = 0.
-380, -1
Factor -k**2/4 + k/2 + 3/4.
-(k - 3)*(k + 1)/4
Factor 3*l**5/5 + 3*l**4 - 24*l**2 - 48*l - 144/5.
3*(l - 3)*(l + 2)**4/5
Factor q**4/2 + 9*q**3/2 + 4*q**2.
q**2*(q + 1)*(q + 8)/2
Find q, given that q**3 - 5536*q**2 + 11069*q - 5534 = 0.
1, 5534
Suppose -b**3/2 - 231*b**2/2 - 6612*b + 6728 = 0. Calculate b.
-116, 1
Factor 2*z**2/13 - 20*z/13 + 32/13.
2*(z - 8)*(z - 2)/13
Let -d**2 - 1194*d - 356409 = 0. What is d?
-597
Suppose -2*f**3 - 452*f**2 - 25538*f = 0. Calculate f.
-113, 0
Factor 2*x**2/11 - 114*x/11 + 1080/11.
2*(x - 45)*(x - 12)/11
Factor g**3/8 + 7*g**2/8 - g.
g*(g - 1)*(g + 8)/8
Determine v, given that -v**3/3 - 77*v**2/3 - 1943*v/3 - 15979/3 = 0.
-29, -19
Solve -5*a**2 - 4910*a + 4915 = 0.
-983, 1
Find y such that -3*y**2 + 3936*y - 1291008 = 0.
656
What is m in m**3 + 52*m**2/3 + 5*m - 34/3 = 0?
-17, -1, 2/3
Factor 2*a**3 - 6*a**2 - 2*a + 6.
2*(a - 3)*(a - 1)*(a + 1)
Factor -g**2/2 - 59*g/2 - 159.
-(g + 6)*(g + 53)/2
Find o, given that 3*o**4 - 27*o**3 - 33*o**2 + 27*o + 30 = 0.
-1, 1, 10
Let 6*r**4 + 64*r**3 - 1474*r**2 + 484*r = 0. Calculate r.
-22, 0, 1/3, 11
Let 2*x**3/15 - 434*x**2/15 + 862*x/15 - 86/3 = 0. Calculate x.
1, 215
Factor -12*r**4 + 27*r**3 - 6*r**2.
-3*r**2*(r - 2)*(4*r - 1)
Solve 6*u**5/17 - 16*u**4/17 - 22*u**3/17 + 56*u**2/17 - 24*u/17 = 0.
-2, 0, 2/3, 1, 3
Factor -2*t**3 - 58*t**2 - 518*t - 1470.
-2*(t + 7)**2*(t + 15)
Factor -n**2/4 + 5*n - 25.
-(n - 10)**2/4
What is m in -3*m**2 + 24*m + 60 = 0?
-2, 10
Let 2*v**2/7 + 90*v/7 + 88/7 = 0. What is v?
-44, -1
Let -245*j**5 - 3465*j**4 - 10995*j**3 - 8435*j**2 + 240*j + 900 = 0. Calculate j.
-10, -3, -1, -3/7, 2/7
Find n, given that 5*n**2 - 145*n + 140 = 0.
1, 28
Factor -3*i**3 - 60*i**2 - 159*i - 102.
-3*(i + 1)*(i + 2)*(i + 17)
Factor -4*f**2 - 64*f + 528.
-4*(f - 6)*(f + 22)
Solve 450*p**4 + 345*p**3 - 1570*p**2 - 1760*p - 160 = 0 for p.
-4/3, -1/10, 2
Factor 11*y**4/4 + 1436*y**3 + 250038*y**2 + 14532480*y + 2634012.
(y + 174)**3*(11*y + 2)/4
Factor -3*y**4 + 705*y**3 - 41769*y**2 + 41067*y.
-3*y*(y - 117)**2*(y - 1)
Suppose 5*m**4 + 345*m**3 + 2245*m**2 + 4695*m + 2790 = 0. Calculate m.
-62, -3, -1
Let 2*i**3 - 2*i**2 - 12*i = 0. What is i?
-2, 0, 3
Let 3*h**2/2 - 6447*h + 13854603/2 = 0. Calculate h.
2149
Find j such that 2*j**4 + 70*j**3 + 836*j**2 + 3648*j + 2880 = 0.
-12, -10, -1
Determine d so that 3*d**4 + 186*d**3 + 3531*d**2 + 20088*d + 34992 = 0.
-27, -4
Factor 3*k**3 + 84*k**2.
3*k**2*(k + 28)
Find m such that m**2/3 + 986*m/3 + 243049/3 = 0.
-493
Factor j**3/5 - 2*j**2 - 128*j/5 - 288/5.
(j - 18)*(j + 4)**2/5
Determine v so that 245*v**3 - 22120*v**2 + 6305*v - 450 = 0.
1/7, 90
Factor -3*o**2/5 + 258*o/5 + 528/5.
-3*(o - 88)*(o + 2)/5
Suppose 4*x**2/7 + 208*x/7 + 2704/7 = 0. What is x?
-26
Factor -o**4 - 43*o**3 - 41*o**2 + 43*o + 42.
-(o - 1)*(o + 1)**2*(o + 42)
Find v, given that -2*v**3/3 - 1258*v**2/3 = 0.
-629, 0
Determine u so that 5*u**5/3 + 170*u**4/3 + 1235*u**3/3 + 2750*u**2/3 - 160*u/3 - 4000/3 = 0.
-25, -4, -2, 1
Factor -2*c**2/3 - 12*c/5 + 16/15.
-2*(c + 4)*(5*c - 2)/15
Find a such that -163*a**2/3 + 381*a - 14/3 = 0.
2/163, 7
Solve f**3/4 + 5*f**2/2 + 23*f/4 + 7/2 = 0 for f.
-7, -2, -1
Solve -a**2/4 - 151*a/2 - 298 = 0.
-298, -4
Factor g**4 + 107*g**3 + 4095*g**2 + 67473*g + 407484.
(g + 21)**3*(g + 44)
Factor g**2 - 22*g + 112.
(g - 14)*(g - 8)
Solve -5*q**5 - 35*q**4 - 25*q**3 + 35*q**2 + 30*q = 0.
-6, -1, 0, 1
Factor n**2/3 + 5108*n/3.
n*(n + 5108)/3
Find k, given that k**3/9 + 214*k**2/9 - 4*k/9 - 856/9 = 0.
-214, -2, 2
Suppose -2*t**5 - 18*t**4 - 30*t**3 - 14*t**2 = 0. Calculate t.
-7, -1, 0
Solve 2*b**4/15 - 2*b**3/5 - 138*b**2/5 + 838*b/15 - 28 = 0 for b.
-14, 1, 15
Factor f**4/3 + 40*f**3/3 - 41*f**2/3.
f**2*(f - 1)*(f + 41)/3
Factor 4*d**3/3 - 212*d**2/3 - 436*d/3 - 220/3.
4*(d - 55)*(d + 1)**2/3
Determine h so that 2*h**3 - 316*h**2 + 14626*h - 161312 = 0.
16, 71
Factor 2*t**4/5 + 8*t**3/5 - 6*t**2/5 - 36*t/5.
2*t*(t - 2)*(t + 3)**2/5
Factor 4*b**5 + 584*b**4 + 28276*b**3 + 508080*b**2 + 3027600*b.
4*b*(b + 15)**2*(b + 58)**2
Factor -2*d**2 + 66*d + 1700.
-2*(d - 50)*(d + 17)
Factor -2*f**2/11 + 558*f/11 + 1692/11.
-2*(f - 282)*(f + 3)/11
What is n in -225*n**5 - 105*n**4 + 333*n**3 + 93*n**2 - 108*n + 12 = 0?
-1, 2/15, 2/5, 1
Factor -256*c**2 + 12096*c - 142884.
-4*(8*c - 189)**2
Find i, given that 60*i**4 + 65*i**3 - 100*i**2 + 20*i = 0.
-2, 0, 1/4, 2/3
Find r such that -3*r**5 + 198*r**4 + 213*r**3 - 792*r**2 - 804*r = 0.
-2, -1, 0, 2, 67
Factor v**3 + 13*v**2.
v**2*(v + 13)
Suppose 2*k**2/3 + 232*k/3 + 1526/3 = 0. Calculate k.
-109, -7
Factor 3*w**3 - 243*w**2 + 1377*w - 2025.
3*(w - 75)*(w - 3)**2
Suppose -6*x**3/7 + 18*x**2/7 - 12*x/7 = 0. Calculate x.
0, 1, 2
Factor n**3/5 - 272*n**2/5 - 2224*n/5 - 896.
(n - 280)*(n + 4)**2/5
Factor -3*y**2/7 + 234*y/7 - 4563/7.
-3*(y - 39)**2/7
Factor -3*m**4 + 15*m**3 - 21*m**2 + 9*m.
-3*m*(m - 3)*(m - 1)**2
F