f**2/5 + f/5 - 162/5 = 0. Calculate f.
-1, 1, 162
Suppose -9*y**5/2 - 8*y**4 + 55*y**3 + 50*y**2 - 101*y/2 - 42 = 0. What is y?
-4, -1, -7/9, 1, 3
Find w such that 335*w**5 + 355*w**4 + 20*w**3 = 0.
-1, -4/67, 0
Factor -c**2 - 53*c - 462.
-(c + 11)*(c + 42)
Factor 2*w**4/5 - 24*w**3/5 - 6*w**2 + 52*w/5.
2*w*(w - 13)*(w - 1)*(w + 2)/5
Find z, given that z**2/2 + 11*z - 3243/2 = 0.
-69, 47
Determine v so that v**3 + 4*v**2 + v - 6 = 0.
-3, -2, 1
Find b, given that b**4/3 + 11*b**3/3 - 13*b**2/3 - 11*b/3 + 4 = 0.
-12, -1, 1
Find h such that h**3 + 52*h**2 + 149*h + 98 = 0.
-49, -2, -1
Solve -2*i**3/5 + 94*i**2/5 + 532*i/5 - 624/5 = 0 for i.
-6, 1, 52
Suppose -3*b**5/4 - 45*b**4/4 - 189*b**3/4 - 147*b**2/4 = 0. What is b?
-7, -1, 0
Determine u so that -3*u**3 - 114*u**2 - 420*u - 408 = 0.
-34, -2
Factor 5*h**3 - 225*h**2 - 230*h.
5*h*(h - 46)*(h + 1)
Factor -2*h**3/23 - 48*h**2/23 + 2*h/23 + 48/23.
-2*(h - 1)*(h + 1)*(h + 24)/23
What is p in -3*p**2 - 126*p + 129 = 0?
-43, 1
Solve 3*t**5/2 + 6*t**4 + 15*t**3/2 + 3*t**2 = 0 for t.
-2, -1, 0
Factor -2*x**2/19 + 174*x/19 + 356/19.
-2*(x - 89)*(x + 2)/19
Find i such that -4*i**3 - 200*i**2/7 - 28*i - 24/7 = 0.
-6, -1, -1/7
Find l such that -3*l**3/2 - 963*l**2/2 - 103041*l/2 - 3675129/2 = 0.
-107
Factor v**4/8 + 11*v**3/8 - 55*v**2/8 + 73*v/8 - 15/4.
(v - 2)*(v - 1)**2*(v + 15)/8
Factor 3*x**3/4 - 657*x**2/4 + 47961*x/4 - 1167051/4.
3*(x - 73)**3/4
Factor 4*o**3 - 116*o**2 - 280*o + 992.
4*(o - 31)*(o - 2)*(o + 4)
Solve 3*u**3 + 6*u**2 - 57*u - 60 = 0.
-5, -1, 4
Find c, given that 2*c**4/15 - 2*c**2/5 + 4*c/15 = 0.
-2, 0, 1
Determine a so that a**5/7 - 6*a**4/7 + 9*a**3/7 - 4*a**2/7 = 0.
0, 1, 4
Solve -6*z**5/19 - 104*z**4/19 - 282*z**3/19 - 16*z**2/19 + 168*z/19 = 0 for z.
-14, -3, -1, 0, 2/3
Factor -q**2 - 732*q + 1468.
-(q - 2)*(q + 734)
Factor -2*h**2/3 - 14*h/3 + 20.
-2*(h - 3)*(h + 10)/3
Factor 2*h**2/5 + 22*h + 212/5.
2*(h + 2)*(h + 53)/5
Factor 2*g**3/9 + 2*g**2/3 + 4*g/9.
2*g*(g + 1)*(g + 2)/9
Let 3*d**5/5 + 48*d**4/5 - 54*d**3/5 - 768*d**2/5 + 1491*d/5 - 144 = 0. Calculate d.
-16, -5, 1, 3
Find u, given that -4*u**2 + 96*u - 512 = 0.
8, 16
Factor 4*a**3 - 13100*a**2 + 10719072*a + 10732176.
4*(a - 1638)**2*(a + 1)
Suppose -5*k**5 - 50*k**4 - 15*k**3 + 270*k**2 = 0. Calculate k.
-9, -3, 0, 2
Factor -a**4/5 - 4*a**3/5 + 3*a**2/5 + 14*a/5 + 8/5.
-(a - 2)*(a + 1)**2*(a + 4)/5
Factor 9*f**3/7 - 832*f**2/7 + 19412*f/7 - 8464/7.
(f - 46)**2*(9*f - 4)/7
Let r**3 - 95*r**2 - 96*r = 0. What is r?
-1, 0, 96
Find d such that d**4/2 - 6*d**3 - 39*d**2 - 58*d - 51/2 = 0.
-3, -1, 17
Determine h, given that 3*h**2 - 255*h + 498 = 0.
2, 83
What is z in -4*z**3/5 + 88*z**2/5 - 384*z/5 - 1152/5 = 0?
-2, 12
Suppose -5*b**3 + 940*b**2 - 925*b - 1870 = 0. What is b?
-1, 2, 187
Solve -50*q**5/13 - 410*q**4/13 - 48*q**3/13 + 3248*q**2/13 - 2464*q/13 + 480/13 = 0 for q.
-6, -5, 2/5, 2
Let 2*k**3/5 + 48*k**2/5 + 46*k/5 = 0. What is k?
-23, -1, 0
Factor -m**3 - 17*m**2 + 28*m + 980.
-(m - 7)*(m + 10)*(m + 14)
Solve -l**4/7 + 99*l**3/7 + 303*l**2/7 + 305*l/7 + 102/7 = 0 for l.
-1, 102
Factor -2*k**2 + 10*k - 8.
-2*(k - 4)*(k - 1)
Factor f**4/10 - 26*f**3/5 - 797*f**2/10 - 1542*f/5 - 234.
(f - 65)*(f + 1)*(f + 6)**2/10
Factor -2*z**2/7 + 6*z - 136/7.
-2*(z - 17)*(z - 4)/7
Factor -2*k**3/5 - 6*k**2/5 + 18*k/5 + 54/5.
-2*(k - 3)*(k + 3)**2/5
Factor -l**3 + 66*l**2 - 248*l.
-l*(l - 62)*(l - 4)
What is s in s**5/2 - 3*s**4 - 18*s**3 - 20*s**2 = 0?
-2, 0, 10
Solve 4*u**2 - 100*u + 184 = 0 for u.
2, 23
Find t such that -8*t**2/15 - 2*t/3 - 2/15 = 0.
-1, -1/4
Solve 5*p**3 + 230*p**2 + 445*p + 220 = 0 for p.
-44, -1
Determine n, given that -5*n**4 + 10*n**3 + 20*n**2 - 40*n = 0.
-2, 0, 2
Determine w so that 2*w**4/7 + 8*w**3/7 - 38*w**2/7 + 4*w = 0.
-7, 0, 1, 2
Solve -10*z**3/9 - 208*z**2/9 - 326*z/3 - 148 = 0.
-74/5, -3
Find f such that 2*f**3/11 - 40*f**2/11 - 184*f/11 - 192/11 = 0.
-2, 24
Let 110*d**5 + 504*d**4 + 616*d**3 + 96*d**2 = 0. What is d?
-12/5, -2, -2/11, 0
Solve 5*x**5 - 55*x**4 + 90*x**3 + 10*x**2 - 95*x + 45 = 0.
-1, 1, 9
Factor q**3/4 + 227*q**2/2 + 51529*q/4.
q*(q + 227)**2/4
Let -v**5/4 + v**4 + 17*v**3/4 - 15*v**2 = 0. Calculate v.
-4, 0, 3, 5
Factor -5*n**2 - 6170*n + 6175.
-5*(n - 1)*(n + 1235)
Factor 3*i**2 + 255*i - 258.
3*(i - 1)*(i + 86)
Factor -4*d**3 - 70*d**2 + 38*d + 36.
-2*(d - 1)*(d + 18)*(2*d + 1)
Factor 21*f**3/2 + 531*f**2/2 + 1836*f + 1944.
3*(f + 12)**2*(7*f + 9)/2
Let -r**4/3 - 4*r**3/3 - 2*r**2/3 + 4*r/3 + 1 = 0. Calculate r.
-3, -1, 1
Factor 2*t**2 - 1384*t - 2776.
2*(t - 694)*(t + 2)
Factor 2*u**4/13 - 2*u**3/13 - 4*u**2/13.
2*u**2*(u - 2)*(u + 1)/13
Factor -2*y**2/11 + 12*y/11 + 270/11.
-2*(y - 15)*(y + 9)/11
Factor 4*h**3 + 2116*h**2 - 4244*h + 2124.
4*(h - 1)**2*(h + 531)
Find q, given that q**2 - 6*q + 5 = 0.
1, 5
Factor -2*s**3/9 - 940*s**2/9 - 36182*s/3 + 49928.
-2*(s - 4)*(s + 237)**2/9
Suppose -5*f**3/3 + 25*f**2/3 + 5*f/3 - 25/3 = 0. Calculate f.
-1, 1, 5
Factor -2*f**4/23 + 78*f**3/23 - 720*f**2/23 + 1944*f/23.
-2*f*(f - 27)*(f - 6)**2/23
Factor 3*i**2/7 - 1350*i/7 + 1347/7.
3*(i - 449)*(i - 1)/7
Let -2*h**4/11 + 4*h**3 + 10*h**2 - 4544*h/11 - 4608/11 = 0. What is h?
-9, -1, 16
Factor 2*k**5 + 164*k**4 + 624*k**3.
2*k**3*(k + 4)*(k + 78)
Suppose -2*c**2 - 266*c + 540 = 0. What is c?
-135, 2
Factor -u**5/6 - 5*u**4/3 - 14*u**3/3 - 4*u**2.
-u**2*(u + 2)**2*(u + 6)/6
Factor 2*r**4/7 - 10*r**3/7 - 6*r**2 - 46*r/7 - 16/7.
2*(r - 8)*(r + 1)**3/7
Let -4*k**2 - 51*k + 13 = 0. What is k?
-13, 1/4
Factor -f**3/3 + 48*f**2 - 2304*f + 36864.
-(f - 48)**3/3
Find u, given that 5*u**4 + 95*u**3 + 400*u**2 - 500*u = 0.
-10, 0, 1
Solve -4*s**5 - 24*s**4 - 48*s**3 - 40*s**2 - 12*s = 0 for s.
-3, -1, 0
Factor 2*s**3 + 4*s**2 - 10*s - 12.
2*(s - 2)*(s + 1)*(s + 3)
Find t, given that t**5/4 + 3*t**4 + 21*t**3/4 + 5*t**2/2 = 0.
-10, -1, 0
What is v in -4*v**4 - 72*v**3 + 156*v**2 - 80*v = 0?
-20, 0, 1
What is t in -4*t**3 - 84*t**2 - 416*t - 336 = 0?
-14, -6, -1
Factor 3*b**4/8 - 259*b**3/2 + 89095*b**2/8 + 29929*b/4.
b*(b - 173)**2*(3*b + 2)/8
Solve -4*x**2 + 8*x = 0 for x.
0, 2
Let 9*d**4 + 1695*d**3 - 6312*d**2 + 4620*d + 2304 = 0. What is d?
-192, -1/3, 2
Let -5*t**2 + 215*t + 450 = 0. What is t?
-2, 45
Solve 4*n**2 + 300*n - 304 = 0.
-76, 1
Find n, given that -25*n**4 + 115*n**3 - 150*n**2 + 20*n + 40 = 0.
-2/5, 1, 2
Find m such that -9*m**2 - 25*m - 14 = 0.
-2, -7/9
Find l such that -3*l**3/4 - 15*l**2/2 + 33*l/4 = 0.
-11, 0, 1
Factor 3*q**3/2 - 4011*q**2 - 16062*q - 16068.
3*(q - 2678)*(q + 2)**2/2
Find l such that l**5/4 + 263*l**4/4 + 16891*l**3/4 - 53067*l**2/4 = 0.
-133, 0, 3
Factor 5*p**3/4 - 375*p**2/4 + 185*p/2.
5*p*(p - 74)*(p - 1)/4
Factor -3*u**5 + 1401*u**4 - 216201*u**3 + 10727967*u**2 + 45551352*u + 46438716.
-3*(u - 157)**3*(u + 2)**2
Factor 2*u**3/15 - 134*u**2/15 + 1588*u/15 - 1456/15.
2*(u - 52)*(u - 14)*(u - 1)/15
Suppose -48*v**5/7 - 3336*v**4/7 - 60411*v**3/7 - 12153*v**2 - 4488*v - 3468/7 = 0. Calculate v.
-34, -1, -1/4
Solve -2*s**4 + 2*s**2 = 0 for s.
-1, 0, 1
Let -3*p**4 - 129*p**3 - 483*p**2 - 591*p - 234 = 0. What is p?
-39, -2, -1
Suppose 128*d**5/7 - 800*d**4/7 + 888*d**3/7 + 986*d**2/7 + 274*d/7 + 24/7 = 0. What is d?
-1/4, 3, 4
Determine z, given that z**4/8 - 93*z**3/4 - 71*z**2 + 93*z/4 + 567/8 = 0.
-3, -1, 1, 189
Factor 5*l**5 - 21*l**4 + 24*l**3 - 4*l**2.
l**2*(l - 2)**2*(5*l - 1)
Factor u**5 - 4*u**4 - 3*u**3 + 34*u**2 - 52*u + 24.
(u - 2)**3*(u - 1)*(u + 3)
Factor -5*f**2 - 35430*f - 62764245.
-5*(f + 3543)**2
Find c, given that 14884*c**4 - 60024*c**3 + 1956*c**2 - 16*c = 0.
0, 1/61, 4
Suppose 30*k**5 + 65*k**4 - 40*k**3 = 0. What is k?
-8/3, 0, 1/2
Factor 5*g**4/3 + 5*g**3/3 - 50*g**2/3 - 20*g/3 + 40.
5*(g - 2)**2*(g + 2)*(g + 3)/3
Find b such that 3*b**4 + 51*b**3 + 234*b**2 + 96*b - 384 = 0.
-8, -2, 1
Solve -l**2 + 2362*l - 2361 = 0 for l.
1, 2361
Suppose -3*m**4 + 12*m**3 + 63*m**2 - 108*m - 324 = 0. Calculate m.
-3, -2, 3, 6
Factor 4*t**4 - 56*t**3 + 128*t**2 + 512*t.
4*t*(t - 8)**2*(t + 2)
Suppose 12*r**4/7 + 411*r**3/7 + 90*r**2/7 - 411*r/7 - 102/7 = 0. Calculate r.
-34, -1, -1/4, 1
Determine l, given that 2*l**4 - 54*l**3 + 100*l**2 = 0.
0, 2, 25
What is o in 5*o**3 - 55*o**2 + 175*o - 125 = 0?
1, 5
Factor r**2/2 - 4*r - 24.
(r - 12)*(r + 4)/