 u so that 5*u**4 + 10*u**3 - 135*u**2 + 540 = 0.
-6, -2, 3
Suppose -2*l**4 + 3576*l**3 - 2397708*l**2 + 714516984*l - 79847272962 = 0. Calculate l.
447
Solve -2*x**5/13 + 22*x**4/13 - 84*x**3/13 + 136*x**2/13 - 80*x/13 = 0.
0, 2, 5
Factor -105*f**2 - 520*f + 25.
-5*(f + 5)*(21*f - 1)
Let 8*m**3 + 86*m**2 + 260*m + 150 = 0. What is m?
-5, -3/4
Factor 3*h**2/7 + 2706*h/7 - 5424/7.
3*(h - 2)*(h + 904)/7
Factor 3*c**2 - 147*c - 150.
3*(c - 50)*(c + 1)
Factor -2*j**3/3 + 36*j**2 - 226*j + 940/3.
-2*(j - 47)*(j - 5)*(j - 2)/3
Solve 5*z**3 - 865*z**2 - 870*z = 0.
-1, 0, 174
Factor l**3/6 - 22*l**2/3 - 91*l/6 - 23/3.
(l - 46)*(l + 1)**2/6
Determine c so that -8*c**3 - 14*c**2 + 28*c - 6 = 0.
-3, 1/4, 1
Let -204*v**5/5 - 483*v**4/5 - 72*v**3 - 87*v**2/5 - 6*v/5 = 0. What is v?
-1, -1/4, -2/17, 0
Determine b so that -5*b**3 + 25*b**2 - 20*b = 0.
0, 1, 4
Determine v, given that -3*v**3 - 1020*v**2 - 89679*v - 502002 = 0.
-167, -6
Solve -4*m**5 + 10*m**4 + 8*m**3 - 38*m**2 + 32*m - 8 = 0.
-2, 1/2, 1, 2
What is c in 2*c**4/3 + 4*c**3/3 - 18*c**2 - 112*c/3 + 160/3 = 0?
-4, 1, 5
Determine t so that 2*t**5/17 - 14*t**4/17 + 24*t**3/17 + 8*t**2/17 - 32*t/17 = 0.
-1, 0, 2, 4
Solve -5*p**3 + 115*p**2 + 3285*p + 16605 = 0 for p.
-9, 41
What is s in s**4 + 11*s**3/2 + 11*s**2/2 - 15*s/2 - 9/2 = 0?
-3, -1/2, 1
Find s, given that -s**5/3 - 3*s**4 - 9*s**3 - 31*s**2/3 - 4*s = 0.
-4, -3, -1, 0
What is n in 3*n**5/2 + 3*n**4 - 27*n**3 + 48*n**2 - 69*n/2 + 9 = 0?
-6, 1
Let 2*z**4/5 - 102*z**3/5 + 646*z**2/5 - 1338*z/5 + 792/5 = 0. What is z?
1, 3, 44
Find s such that -2*s**5/21 + 122*s**4/21 - 104*s**3/21 - 328*s**2/7 + 480*s/7 = 0.
-3, 0, 2, 60
Determine p so that -p**2/6 + p/3 + 5/2 = 0.
-3, 5
Determine x, given that 8*x**5 - 2*x**4 - 29*x**3 + 32*x**2 - 9*x = 0.
-9/4, 0, 1/2, 1
Solve 3*u**5/2 + 63*u**4/4 - 51*u**3/4 - 201*u**2/4 - 27*u/4 + 33/2 = 0.
-11, -1, 1/2, 2
Factor n**4 + 82*n**3 + 888*n**2 + 3424*n + 4480.
(n + 4)**3*(n + 70)
Factor -25*k**5/3 + 80*k**4/3 - 94*k**3/3 + 16*k**2 - 3*k.
-k*(k - 1)**2*(5*k - 3)**2/3
Factor i**2/3 - 14*i/3.
i*(i - 14)/3
Factor q**3/5 - 824*q**2/5 + 329*q - 822/5.
(q - 822)*(q - 1)**2/5
Find z such that -8*z**2/5 - 114*z/5 - 28/5 = 0.
-14, -1/4
Factor -m**4/2 + 7*m**3 - 12*m**2.
-m**2*(m - 12)*(m - 2)/2
Determine d so that -d**4/3 + 6*d**3 - 24*d**2 + 94*d/3 - 13 = 0.
1, 3, 13
Factor 5*w**2 - 180*w + 1375.
5*(w - 25)*(w - 11)
Solve -3*q**2 + 2163*q + 2166 = 0.
-1, 722
Suppose -r**4/2 + 76*r**3 - 2811*r**2 - 5852*r - 5929/2 = 0. Calculate r.
-1, 77
Solve -p**2/3 - 41*p/3 = 0 for p.
-41, 0
Factor -5*o**5 + 120*o**4 - 585*o**3 - 1690*o**2.
-5*o**2*(o - 13)**2*(o + 2)
Suppose 3*h**2/7 + 438*h/7 = 0. Calculate h.
-146, 0
Let -2*l**4/11 + 412*l**3/11 - 2134*l**2 + 225816*l/11 = 0. Calculate l.
0, 12, 97
Factor -f**4/8 + 7*f**3/8 + 3*f**2/8 - 23*f/8 + 7/4.
-(f - 7)*(f - 1)**2*(f + 2)/8
Solve -4*m**5 + 80*m**4 + 12*m**3 - 248*m**2 + 160*m = 0.
-2, 0, 1, 20
What is l in -9*l**5/5 - 6*l**4/5 + 62*l**3/5 - 12*l**2/5 - 29*l/5 - 6/5 = 0?
-3, -1/3, 1, 2
Factor -5*j**4 + 120*j**3 + 275*j**2 - 390*j.
-5*j*(j - 26)*(j - 1)*(j + 3)
Suppose -2*t**4/9 - 224*t**3/9 + 2384*t**2/9 - 6784*t/9 + 1952/3 = 0. What is t?
-122, 2, 6
Solve -2*z**4 + 18*z**3 - 48*z**2 + 32*z = 0.
0, 1, 4
Factor -3*s**3/4 + 333*s**2/4 + 1476*s + 6096.
-3*(s - 127)*(s + 8)**2/4
Factor 2*g**2 + 26276*g + 86303522.
2*(g + 6569)**2
Find a, given that 3*a**2/5 - 3228*a/5 + 868332/5 = 0.
538
Factor -3*g**5/7 + 12*g**4/7 - 9*g**3/7.
-3*g**3*(g - 3)*(g - 1)/7
Factor -8*r**4/7 - 6*r**3 - 60*r**2/7 + 8*r/7 + 48/7.
-2*(r + 2)**3*(4*r - 3)/7
Determine u so that -2*u**2/3 - u/6 + 3 = 0.
-9/4, 2
Solve -t**4 - 12*t**3 + 77*t**2 - 132*t + 68 = 0 for t.
-17, 1, 2
Find h such that -2*h**3/11 - 50*h**2/11 - 246*h/11 - 342/11 = 0.
-19, -3
Solve -c**4 + 16*c**3 + 261*c**2 - 16*c - 260 = 0.
-10, -1, 1, 26
Determine p, given that 2*p**2/3 + 48*p = 0.
-72, 0
Factor -2*y**3 - 22*y**2 - 80*y - 96.
-2*(y + 3)*(y + 4)**2
Factor -2*t**4 - 20*t**3 - 16*t**2 + 20*t + 18.
-2*(t - 1)*(t + 1)**2*(t + 9)
Factor 3*g**3 - 3*g**2 - 3*g + 3.
3*(g - 1)**2*(g + 1)
Factor 2*r**3 + 444*r**2 + 882*r + 440.
2*(r + 1)**2*(r + 220)
Factor 45*u**4 + 6*u**3.
3*u**3*(15*u + 2)
Let -b**2/4 + 13*b/2 - 105/4 = 0. What is b?
5, 21
Factor -4*h**5 + 604*h**4 - 29956*h**3 + 463284*h**2 + 1310904*h - 4244832.
-4*(h - 51)**3*(h - 2)*(h + 4)
Find z, given that -20*z**2/13 + 2*z + 6/13 = 0.
-1/5, 3/2
Factor -2*x**4/7 - 4*x**3/7 + 8*x**2/7 + 16*x/7.
-2*x*(x - 2)*(x + 2)**2/7
Determine c so that 2*c**3/13 - 54*c/13 + 108/13 = 0.
-6, 3
Suppose -c**5 - 16*c**4 - 80*c**3 - 80*c**2 + 336*c + 576 = 0. Calculate c.
-6, -4, -2, 2
Solve -20*a**3 - 3488*a**2 - 8272*a - 2752 = 0 for a.
-172, -2, -2/5
Find k, given that -33*k**5 + 27*k**4 + 1953*k**3 + 4017*k**2 + 2448*k + 324 = 0.
-6, -1, -2/11, 9
Factor -2*t**2/5 + 56*t/5 - 54/5.
-2*(t - 27)*(t - 1)/5
Factor y**3/8 + 2595*y**2/8 + 2244675*y/8 + 647214625/8.
(y + 865)**3/8
Determine w, given that -3*w**5 - 36*w**4 - 99*w**3 + 102*w**2 + 252*w - 216 = 0.
-6, -2, 1
Factor -5*h**2 - 330*h - 945.
-5*(h + 3)*(h + 63)
Determine x so that 9*x**2/5 + 104*x/5 - 48/5 = 0.
-12, 4/9
Let 2*h**4/23 - 534*h**3/23 + 35910*h**2/23 - 35378*h/23 = 0. What is h?
0, 1, 133
Suppose z**3 - 2235*z**2 + 1247688*z + 1249924 = 0. What is z?
-1, 1118
Determine r, given that -3*r**3/7 + 78*r**2/7 + 597*r/7 - 96 = 0.
-7, 1, 32
Suppose -i**4/5 - 89*i**3/5 - 1842*i**2/5 + 6164*i/5 - 4232/5 = 0. What is i?
-46, 1, 2
Solve m**5 + 37*m**4 + 29*m**3 - 265*m**2 - 474*m - 216 = 0 for m.
-36, -2, -1, 3
Determine h, given that -9*h**5 + 56*h**4 + 60*h**3 - 70*h**2 - 51*h + 14 = 0.
-1, 2/9, 1, 7
Let -d**2/3 - 226*d + 679/3 = 0. What is d?
-679, 1
Determine m, given that 2*m**5/5 - 2*m**4/5 - 18*m**3/5 + 26*m**2/5 + 16*m/5 - 24/5 = 0.
-3, -1, 1, 2
Solve -m**4 + 22*m**3 - 60*m**2 + 58*m - 19 = 0.
1, 19
Factor 4*y**3/5 - 74*y**2/5 - 298*y/5 - 44.
2*(y - 22)*(y + 1)*(2*y + 5)/5
Factor 428*h**2 - 1704*h - 32.
4*(h - 4)*(107*h + 2)
Factor -m**5/4 + m**4/2 + 3*m**3/4 - m**2 - m.
-m*(m - 2)**2*(m + 1)**2/4
Solve -2*n**5 - 2*n**4 + 6*n**3 + 2*n**2 - 4*n = 0 for n.
-2, -1, 0, 1
Factor -96*n**5/5 + 388*n**4/5 - 592*n**3/5 + 408*n**2/5 - 112*n/5 + 4/5.
-4*(n - 1)**4*(24*n - 1)/5
Factor 5*s**2 - 25*s + 30.
5*(s - 3)*(s - 2)
Factor n**2 + 46*n - 96.
(n - 2)*(n + 48)
Factor -k**2/4 + 2*k + 9/4.
-(k - 9)*(k + 1)/4
What is w in -2*w**2/5 + 44*w - 1210 = 0?
55
Factor 3*o**3/4 - 115*o**2/4 - 99*o/2 - 20.
(o - 40)*(o + 1)*(3*o + 2)/4
Solve -5*i**5 + 25*i**4 + 220*i**3 + 320*i**2 - 160*i - 400 = 0 for i.
-2, 1, 10
Factor 4*j**3 + 1896*j**2 + 299568*j + 15777248.
4*(j + 158)**3
Factor -2*y**4/9 + 2*y**2/3 - 4*y/9.
-2*y*(y - 1)**2*(y + 2)/9
Factor -f**2 - 3104*f - 2408704.
-(f + 1552)**2
Suppose -3*r**5/7 - 24*r**4/7 - 66*r**3/7 - 72*r**2/7 - 27*r/7 = 0. What is r?
-3, -1, 0
Let -2*o**3/9 - 4*o**2/3 + 110*o/9 = 0. What is o?
-11, 0, 5
Find k, given that -450*k**5 + 2940*k**4 - 5522*k**3 + 4152*k**2 - 1248*k + 128 = 0.
4/15, 1, 4
Find y such that -y**2/3 - 8*y - 23/3 = 0.
-23, -1
Determine t so that 3*t**4 - 54*t**3 + 48*t**2 + 54*t - 51 = 0.
-1, 1, 17
Solve 522*j**2/5 - 1562*j/5 - 12/5 = 0.
-2/261, 3
Let -18*b**4/5 + 150*b**3 + 262*b**2/5 - 422*b/5 + 84/5 = 0. What is b?
-1, 1/3, 42
Let -28*b**5/9 - 736*b**4/9 - 2812*b**3/9 - 3880*b**2/9 - 2128*b/9 - 352/9 = 0. What is b?
-22, -2, -1, -2/7
Factor 5*x**4/3 - 19*x**3 + 64*x**2/3 + 20*x.
x*(x - 10)*(x - 2)*(5*x + 3)/3
Solve -q**4/3 - 47*q**3/3 + 19*q**2 + 141*q - 144 = 0 for q.
-48, -3, 1, 3
Factor k**2 - 606*k.
k*(k - 606)
Factor s**2 + 664*s + 110224.
(s + 332)**2
Find r, given that 15*r**4 - 324*r**3 + 1269*r**2 - 1668*r + 612 = 0.
3/5, 2, 17
Factor v**2/4 - v + 1.
(v - 2)**2/4
Let -4*b**4/7 - 256*b**3/7 - 792*b**2 - 6048*b - 5292 = 0. What is b?
-21, -1
Determine n so that 80*n**3 + 945*n**2 - 1220*n + 195 = 0.
-13, 3/16, 1
Solve r**4/2 - 19*r**3 + 361*r**2/2 = 0 for r.
0, 19
Solve -x**2 - 856*x - 855 = 0.
-855, -1
Solve -3*j**4 + 15*j**3 + 417*j**2 + 705*j - 3150 = 0.
-7, -5, 2, 15
Factor -q**2/3 + 10*q/3 - 25/3.
-(q - 5)**2/3
Determine s, given that 21*s**3 - 9*s**2/5 - 6*s/5 = 0.
-1/5, 0, 2/7
Let -u**4 - 4*u**3 + 15*u**2 + 58*u + 40 = 0. What is u?
-5, -2, -1, 4
Determine m so that -4*m**4/9 + 10*m**3 - 