+ 29*x**4/4 - 81*x**3/2 + 67*x**2 - 34*x = 0 for x.
-34, 0, 1, 2
Find i, given that i**4 + 12*i**3 - 91*i**2 - 102*i = 0.
-17, -1, 0, 6
Let -2*f**5 - 42*f**4 - 288*f**3 - 432*f**2 + 2592*f + 7776 = 0. Calculate f.
-6, 3
Determine q so that -3*q**4 + 1404*q**3 - 246402*q**2 + 19219356*q - 562166163 = 0.
117
Factor -4*r**4 - 80*r**3 - 400*r**2.
-4*r**2*(r + 10)**2
Let -12*l**4 - 57*l**3 - 24*l**2 + 57*l + 36 = 0. What is l?
-4, -1, -3/4, 1
Determine y so that -5*y**4 - 175*y**3 + 5*y**2 + 175*y = 0.
-35, -1, 0, 1
Solve -2*z**5 - 12*z**4 + 6*z**3 + 40*z**2 + 24*z = 0 for z.
-6, -1, 0, 2
Find k such that k**4/2 - k**3/2 - 25*k**2/2 + 37*k/2 + 30 = 0.
-5, -1, 3, 4
Let -2*l**4/3 + 68*l**3/3 + 24*l**2 - 68*l/3 - 70/3 = 0. What is l?
-1, 1, 35
What is y in -2*y**3/5 - 6*y**2/5 = 0?
-3, 0
What is k in -2*k**4/15 + 6*k**3/5 - 16*k**2/5 + 8*k/3 = 0?
0, 2, 5
Factor i**4 + 14*i**3 + 49*i**2 + 36*i.
i*(i + 1)*(i + 4)*(i + 9)
Factor -2*o**2 - 11232*o - 15769728.
-2*(o + 2808)**2
Factor -2*k**3/5 + 84*k**2/5 + 112*k + 768/5.
-2*(k - 48)*(k + 2)*(k + 4)/5
Determine b so that 32*b**4 - 192*b**3 - 226*b**2 + 12*b + 14 = 0.
-1, -1/4, 1/4, 7
Determine d, given that -9*d**3/7 + 438*d**2/7 - 288*d/7 = 0.
0, 2/3, 48
Solve -3*x**2/4 + 2955*x/4 - 738 = 0.
1, 984
Determine g so that -3*g**5/5 + 27*g**4/5 - 24*g**3/5 - 36*g**2 = 0.
-2, 0, 5, 6
Factor -i**4 - 19*i**3 - 57*i**2 + 319*i - 242.
-(i - 2)*(i - 1)*(i + 11)**2
Determine j, given that j**4/8 + 17*j**3/4 + 123*j**2/8 + 45*j/4 = 0.
-30, -3, -1, 0
Let -183*t**2/2 - 825*t - 27/2 = 0. What is t?
-9, -1/61
What is i in -4*i**4 + 12*i**3 - 8*i**2 = 0?
0, 1, 2
Factor w**3/2 - 108*w**2 + 429*w/2 - 107.
(w - 214)*(w - 1)**2/2
Let -29*d**3/6 + 23*d**2/3 + 37*d/2 + 6 = 0. Calculate d.
-1, -12/29, 3
Factor -a**3/6 + 5*a**2/3 + 151*a/6 + 190/3.
-(a - 19)*(a + 4)*(a + 5)/6
Factor 3*f**2 + 48*f - 240.
3*(f - 4)*(f + 20)
Factor -14*u**2/9 - 160*u/9 + 32/3.
-2*(u + 12)*(7*u - 4)/9
Factor -2*b**2/5 + 38*b/5.
-2*b*(b - 19)/5
Factor 4*a**2/3 + 52*a/3 + 160/3.
4*(a + 5)*(a + 8)/3
Suppose -5*p**3 - 695*p**2 + 2120*p - 1420 = 0. What is p?
-142, 1, 2
Find w, given that -w**2/3 - 28*w/3 - 25 = 0.
-25, -3
Suppose 5*s**3 + 110*s**2 + 295*s + 190 = 0. What is s?
-19, -2, -1
Find u such that u**2 + 26*u + 48 = 0.
-24, -2
Factor 4*r**2 + 120*r.
4*r*(r + 30)
Solve v**4/7 - 25*v**3/7 + 24*v**2/7 = 0.
0, 1, 24
Determine w so that 4*w**3 - 420*w**2 + 11232*w - 10816 = 0.
1, 52
Factor 2*z**5/3 + 8*z**4/3 + 10*z**3/3 + 4*z**2/3.
2*z**2*(z + 1)**2*(z + 2)/3
Find p, given that -2*p**3/3 + 8*p**2/3 - 2*p/3 - 4 = 0.
-1, 2, 3
Let 2*z**4 + 6*z**3 + 2*z**2 - 6*z - 4 = 0. What is z?
-2, -1, 1
Let -3*q**4 + 78*q**3 - 639*q**2 + 1716*q - 1452 = 0. Calculate q.
2, 11
Factor -t**2 + 308*t - 23716.
-(t - 154)**2
Find x, given that 27*x**4 + 24*x**3 - 3*x**2 = 0.
-1, 0, 1/9
Find b, given that 5*b**2/2 + 23*b + 77/2 = 0.
-7, -11/5
Determine u so that 4*u**2 - 208*u + 2028 = 0.
13, 39
Solve 2*z**5/3 + 4*z**4/3 - 158*z**3/3 - 760*z**2/3 - 200*z = 0 for z.
-6, -5, -1, 0, 10
Solve -59582*u**4/3 + 263314*u**3/3 + 55428*u**2 + 11016*u + 720 = 0 for u.
-6/31, 5
Suppose 4*j**5/11 - 58*j**4/11 + 104*j**3/11 - 50*j**2/11 = 0. Calculate j.
0, 1, 25/2
Suppose -3*y**5/4 + 204*y**4 - 56295*y**3/4 + 54675*y**2/2 = 0. What is y?
0, 2, 135
Suppose -14*c**5 + 256*c**4 + 768*c**3 + 628*c**2 + 46*c - 84 = 0. Calculate c.
-1, 2/7, 21
Factor -8*g**3 + 396*g**2 + 224*g - 1200.
-4*(g - 50)*(g + 2)*(2*g - 3)
Suppose 20*g**2 + 4388*g + 1752 = 0. Calculate g.
-219, -2/5
Factor -2*b**2/7 - 414*b/7 - 412/7.
-2*(b + 1)*(b + 206)/7
Factor 5*o**5 - 5*o**4 - 210*o**3.
5*o**3*(o - 7)*(o + 6)
Factor 2*f**3 + 156*f**2 + 598*f + 444.
2*(f + 1)*(f + 3)*(f + 74)
Factor 5*l**3 + 330*l**2 - 1775*l.
5*l*(l - 5)*(l + 71)
Determine y so that -y**4/8 - 7*y**3/8 - 3*y**2/2 = 0.
-4, -3, 0
Find x such that -2*x**4/19 - 838*x**3/19 - 834*x**2/19 + 838*x/19 + 44 = 0.
-418, -1, 1
Let -33*r**2/5 + r/2 = 0. What is r?
0, 5/66
Factor 110*i**2 - 125*i + 15.
5*(i - 1)*(22*i - 3)
Find l, given that l**2/3 + 8*l/3 + 16/3 = 0.
-4
Find u such that 4*u**5 - 8*u**4 - 36*u**3 + 8*u**2 + 32*u = 0.
-2, -1, 0, 1, 4
Suppose 39*l**2/7 + 387*l/7 - 30/7 = 0. Calculate l.
-10, 1/13
Factor 2*a**4/3 + 23*a**3/3 + 49*a**2/3 + 37*a/3 + 3.
(a + 1)**2*(a + 9)*(2*a + 1)/3
Determine m so that 3*m**2 + 63*m - 300 = 0.
-25, 4
Suppose -4*b**4 + 28*b**3 + 108*b**2 + 116*b + 40 = 0. What is b?
-1, 10
Find r, given that 5*r**2 + 135*r = 0.
-27, 0
Solve -j**5/3 - 61*j**4/3 - 411*j**3 - 8687*j**2/3 - 7514*j/3 = 0.
-26, -17, -1, 0
Factor 2*y**3/19 + 2*y**2 + 238*y/19 + 490/19.
2*(y + 5)*(y + 7)**2/19
Suppose -3*i**4 - 93*i**3 - 174*i**2 = 0. What is i?
-29, -2, 0
Factor -v**3 - 2*v**2 + 20*v - 24.
-(v - 2)**2*(v + 6)
Factor -3*f**2 - 147*f - 282.
-3*(f + 2)*(f + 47)
Determine f, given that -5*f**5 - 70*f**4 - 240*f**3 = 0.
-8, -6, 0
Suppose -8*h**5/3 + 62*h**4/15 - 2*h**3/5 - 14*h**2/15 - 2*h/15 = 0. What is h?
-1/4, -1/5, 0, 1
Factor j**2/5 + 2057*j/5 - 2058/5.
(j - 1)*(j + 2058)/5
Factor -4*o**5 - 1376*o**4 - 118336*o**3.
-4*o**3*(o + 172)**2
Factor -3*r**2 - 1434*r - 5688.
-3*(r + 4)*(r + 474)
Suppose p**4/6 + 3*p**3/2 + 4*p**2 + 10*p/3 = 0. Calculate p.
-5, -2, 0
Suppose -3*b**3/5 - 27*b**2/5 - 42*b/5 = 0. What is b?
-7, -2, 0
Factor 3*u**3 - 9150*u**2 + 6967716*u + 13972056.
3*(u - 1526)**2*(u + 2)
Factor z**3 - 31*z**2 + 280*z - 588.
(z - 14)**2*(z - 3)
Factor -d**3 + 337*d**2 + 1360*d + 1364.
-(d - 341)*(d + 2)**2
Find w such that -2*w**2/9 + 100*w/9 = 0.
0, 50
Factor 9*w**4 + 228*w**3 - 399*w**2 + 162*w.
3*w*(w - 1)*(w + 27)*(3*w - 2)
Suppose -10*u**3 - 176*u**2 + 72*u = 0. Calculate u.
-18, 0, 2/5
Factor 85*i**2 - 330*i - 40.
5*(i - 4)*(17*i + 2)
Let -3*o**2/2 - 21*o/4 - 9/2 = 0. Calculate o.
-2, -3/2
Suppose -4*o**2/3 - 52*o/3 - 40 = 0. Calculate o.
-10, -3
Find n such that n**5/8 - n**4 - 3*n**3/2 + 13*n**2/4 + 11*n/8 - 9/4 = 0.
-2, -1, 1, 9
Factor -2*n**3/5 + 204*n**2/5 - 6936*n/5 + 78608/5.
-2*(n - 34)**3/5
Suppose 4*y**2 + 64*y = 0. Calculate y.
-16, 0
Factor 4*w**5/3 + 56*w**4 - 276*w**3 - 29088*w**2 - 34560*w + 4147200.
4*(w - 15)**2*(w + 24)**3/3
Solve -f**3/4 + 35*f**2 = 0.
0, 140
Factor 5*m**5 + 310*m**4 + 1320*m**3 - 5870*m**2 + 6515*m - 2280.
5*(m - 1)**3*(m + 8)*(m + 57)
Factor 3*f**3/7 - 390*f**2/7 - 477*f + 3726/7.
3*(f - 138)*(f - 1)*(f + 9)/7
Factor 3*k**5/2 + 909*k**4 + 134964*k**3 - 831720*k**2 + 1678104*k - 1123632.
3*(k - 2)**3*(k + 306)**2/2
Factor s**2 - 1388*s + 481636.
(s - 694)**2
Let -2*j**4/7 - 1336*j**3/7 - 229692*j**2/7 - 313960*j - 773150 = 0. What is j?
-329, -5
Factor -2*u**3 + 104*u**2 - 298*u + 196.
-2*(u - 49)*(u - 2)*(u - 1)
Factor -t**3/6 - 185*t**2 - 68450*t - 25326500/3.
-(t + 370)**3/6
What is n in -2*n**5 - 96*n**4 - 1328*n**3 - 4224*n**2 - 3872*n = 0?
-22, -2, 0
Factor y**4/7 + 34*y**3/7 + 24*y**2.
y**2*(y + 6)*(y + 28)/7
Factor 3*z**2 - 687*z - 690.
3*(z - 230)*(z + 1)
Factor -3*n**2/4 - 87*n/2 - 2523/4.
-3*(n + 29)**2/4
Factor 2*x**2 + 224*x + 2222.
2*(x + 11)*(x + 101)
Factor -4*w**3/3 + 40*w**2/3 - 68*w/3 + 32/3.
-4*(w - 8)*(w - 1)**2/3
Determine s so that -6*s**4 + 14*s**3/3 + 22*s**2/3 - 14*s/3 - 4/3 = 0.
-1, -2/9, 1
Factor w**5 + w**4 - 2*w**3.
w**3*(w - 1)*(w + 2)
Suppose -2*h**3/9 - 34*h**2/9 - 190*h/9 - 350/9 = 0. What is h?
-7, -5
Factor 3*x**3 - 81*x**2/5 + 6*x.
3*x*(x - 5)*(5*x - 2)/5
Factor v**5 - 4*v**3.
v**3*(v - 2)*(v + 2)
Factor 4*m**2 - 1884*m - 3784.
4*(m - 473)*(m + 2)
Find v such that -2*v**2/13 - 2720*v/13 = 0.
-1360, 0
Factor 2*t**2/7 - 1748*t/7 + 381938/7.
2*(t - 437)**2/7
What is o in -5808*o**4 + 13992*o**3 + 12429*o**2 - 6642*o + 729 = 0?
-1, 9/44, 3
Suppose -5*y**5/2 - 50*y**4 - 745*y**3/2 - 1255*y**2 - 1830*y - 900 = 0. Calculate y.
-6, -5, -2, -1
Factor n**3/3 + 116*n**2 - n/3 - 116.
(n - 1)*(n + 1)*(n + 348)/3
Suppose 2*d**2/7 - 2*d/7 = 0. What is d?
0, 1
Find a such that -a**2/5 - 7*a/5 - 12/5 = 0.
-4, -3
What is z in 2*z**5/5 + 16*z**4 + 1024*z**3/5 + 3676*z**2/5 - 1434*z - 1980 = 0?
-15, -11, -1, 2
Suppose -c**2 + 26*c - 169 = 0. What is c?
13
Suppose -4*w**3/7 - 900*w**2/7 - 49248*w/7 + 155952/7 = 0. Calculate w.
-114, 3
Let 3*a**2 - 435*a/4 + 27 = 0. Calculate a.
1/4, 36
Suppose -2*b**3/5 + 2060*b**2 - 13250944*b/5 - 26543104/5 = 0. Calculate b.
-2, 2576
Su