 -2, -1
Suppose p**2 - 3*p - 4 = 0. What is p?
-1, 4
Suppose 2*i**5/5 - 26*i**4/5 = 0. What is i?
0, 13
Let h**4/2 - 3*h**3 - 2*h**2 + 27*h - 45/2 = 0. Calculate h.
-3, 1, 3, 5
Suppose 3*x**5 - 18*x**4 - 3*x**3 + 114*x**2 - 96 = 0. What is x?
-2, -1, 1, 4
Factor 4*d**4 - 412*d**3 + 400*d**2 + 816*d.
4*d*(d - 102)*(d - 2)*(d + 1)
Find s such that 24*s**5/7 - 58*s**4/7 + 8*s**3/7 + 22*s**2/7 + 4*s/7 = 0.
-1/3, -1/4, 0, 1, 2
Determine u so that -u**2/6 - 59*u = 0.
-354, 0
Factor -2*c**3/9 + 428*c**2/9.
-2*c**2*(c - 214)/9
Factor -5*o**3 - 50*o**2 + 5*o + 50.
-5*(o - 1)*(o + 1)*(o + 10)
Factor -3*r**2/2 - 27*r - 51/2.
-3*(r + 1)*(r + 17)/2
Solve -2*a**4/17 + 150*a**3/17 - 2874*a**2/17 + 1850*a/17 + 16428/17 = 0 for a.
-2, 3, 37
Factor r**3/4 - r**2/4 - r/4 + 1/4.
(r - 1)**2*(r + 1)/4
Let 2*f**5/3 - 80*f**4/9 + 58*f**3/9 + 472*f**2/9 - 56*f/3 - 32 = 0. What is f?
-2, -2/3, 1, 3, 12
Find a such that 2*a**2/11 + 12*a/11 - 14/11 = 0.
-7, 1
Suppose -2*o**3 - 3390*o**2 - 1438206*o - 1434818 = 0. What is o?
-847, -1
Factor -50*x**4/11 + 1340*x**3/11 - 10218*x**2/11 + 16616*x/11 - 7688/11.
-2*(x - 1)**2*(5*x - 62)**2/11
Solve 3*x**5 - 372*x**4 + 9084*x**3 + 151776*x**2 + 499392*x = 0 for x.
-6, 0, 68
Suppose -5*a**3 - 320*a**2 + 5*a + 320 = 0. Calculate a.
-64, -1, 1
Suppose 2*n**5/11 + 16*n**4 + 3684*n**3/11 - 8640*n**2/11 - 12150*n/11 = 0. What is n?
-45, -1, 0, 3
Suppose -2*a**4 - 38*a**3/3 - 14*a**2 - 10*a/3 = 0. Calculate a.
-5, -1, -1/3, 0
Factor -605*z**2 - 1100*z - 500.
-5*(11*z + 10)**2
Factor 2*f**2/17 + 440*f/17 + 4992/17.
2*(f + 12)*(f + 208)/17
Let -15*d**2 + 136*d - 9 = 0. Calculate d.
1/15, 9
Factor -l**3/9 + 37*l**2/9 - 71*l/9 + 35/9.
-(l - 35)*(l - 1)**2/9
Factor 3*p**2 - 324*p + 321.
3*(p - 107)*(p - 1)
Find n such that -5*n**2 + 45 = 0.
-3, 3
Solve -4*b**5/3 - 12*b**4 + 4*b**3/3 + 12*b**2 = 0 for b.
-9, -1, 0, 1
Find x such that 2*x**4/3 + 4*x**3 - 64*x**2 - 1280*x/3 = 0.
-8, 0, 10
Let -2*q**3/17 - 60*q**2/17 - 450*q/17 = 0. What is q?
-15, 0
Determine b, given that b**3/7 + 400*b**2/7 - 803*b/7 + 402/7 = 0.
-402, 1
Suppose 4*f**3 + 1052*f**2 - 6456*f = 0. What is f?
-269, 0, 6
Solve -14*z**3 + 10*z**2 + 32*z + 8 = 0.
-1, -2/7, 2
Let -j**3/5 - j**2/5 = 0. What is j?
-1, 0
Determine z, given that 24*z**3 + 45*z**2 + 18*z - 3 = 0.
-1, 1/8
Solve 3*y**4/2 - 39*y**3 + 135*y**2/2 + 108*y = 0 for y.
-1, 0, 3, 24
Solve -2*t**4/7 - 192*t**3/7 - 5756*t**2/7 - 7872*t - 23534 = 0 for t.
-41, -7
Factor 2*d**3/9 + 38*d**2/3 + 74*d/3 + 110/9.
2*(d + 1)**2*(d + 55)/9
Factor -3*t**4 - 9*t**3 + 54*t**2 + 96*t - 288.
-3*(t - 3)*(t - 2)*(t + 4)**2
Let k**3 + 13*k**2 + 36*k = 0. Calculate k.
-9, -4, 0
Factor q**2/4 + 73*q/4 + 18.
(q + 1)*(q + 72)/4
Suppose -5*r**4 + 1005*r**3 - 3965*r**2 + 4935*r - 1970 = 0. What is r?
1, 2, 197
Factor -4*f**4 + 2144*f**3 - 287296*f**2.
-4*f**2*(f - 268)**2
Find y such that -4*y**4 + 12*y**3 + 16*y**2 = 0.
-1, 0, 4
Factor -4*b**4 - 44*b**3 - 132*b**2 - 20*b + 200.
-4*(b - 1)*(b + 2)*(b + 5)**2
Find m such that -2*m**3/9 + 638*m**2/9 - 1270*m/9 + 634/9 = 0.
1, 317
Find t such that -5*t**5 - 40*t**4 + 50*t**3 + 40*t**2 - 45*t = 0.
-9, -1, 0, 1
Factor 382*b**2/21 + 150*b/7 + 68/21.
2*(b + 1)*(191*b + 34)/21
Determine l, given that 4*l**2 + 172*l - 3776 = 0.
-59, 16
Factor h**3/6 + 5*h**2/2 - 134*h/3 + 78.
(h - 9)*(h - 2)*(h + 26)/6
Let w**4/4 - 13*w**3/2 + 23*w**2/4 + 25*w/2 = 0. What is w?
-1, 0, 2, 25
Let -3*a**4 - 21*a**3 + 9*a**2 + 165*a - 150 = 0. What is a?
-5, 1, 2
Suppose 4*n**4/9 - 8*n**3/3 - 148*n**2/9 - 40*n/3 = 0. Calculate n.
-3, -1, 0, 10
Factor 2*i**2 + 276*i + 9522.
2*(i + 69)**2
Solve 4*k**3 + 5448*k**2 + 1860480*k + 3699200 = 0.
-680, -2
Factor -2*z**2/7 - 678*z/7 - 676/7.
-2*(z + 1)*(z + 338)/7
What is l in 3*l**5 - 24*l**4 + 36*l**3 + 78*l**2 - 183*l + 90 = 0?
-2, 1, 3, 5
Solve x**3/4 - 25*x**2/2 + 24*x = 0 for x.
0, 2, 48
Determine b so that -2*b**2/15 - 2*b/5 + 8/15 = 0.
-4, 1
Factor -5*n**4 + 75*n**3 - 65*n**2 - 75*n + 70.
-5*(n - 14)*(n - 1)**2*(n + 1)
Factor h**2/2 + 111*h/2 - 56.
(h - 1)*(h + 112)/2
Let -2*l**3 + 18*l**2 - 28*l - 48 = 0. What is l?
-1, 4, 6
Let 12*j**2/5 - 872*j/5 + 576/5 = 0. Calculate j.
2/3, 72
Factor 4*d**4 + 84*d**3 + 444*d**2 + 364*d.
4*d*(d + 1)*(d + 7)*(d + 13)
Solve 25*u**3 + 140*u**2 - 460*u + 160 = 0 for u.
-8, 2/5, 2
Factor l**2/3 - 13*l/3.
l*(l - 13)/3
Factor 2*s**2/3 + 569*s/3 + 470.
(s + 282)*(2*s + 5)/3
What is m in 3*m**3/5 - 36*m**2 + 3591*m/5 - 23826/5 = 0?
19, 22
Factor -159*l**2/2 - 453*l/8 + 9/4.
-3*(4*l + 3)*(53*l - 2)/8
Factor -2*z**2 - 272*z - 798.
-2*(z + 3)*(z + 133)
Factor 722*v**3/9 - 4256*v**2/3 - 454*v - 36.
2*(v - 18)*(19*v + 3)**2/9
Solve 4*k**5 + 1016*k**4 + 5988*k**3 + 8944*k**2 + 3968*k = 0.
-248, -4, -1, 0
Let 4*r**4 + 144*r**3 + 976*r**2 - 5760*r + 6400 = 0. What is r?
-20, 2
Factor 2*m**3 - 8*m**2 - 50*m + 56.
2*(m - 7)*(m - 1)*(m + 4)
Determine b so that -2*b**5 + 3*b**4 + 12*b**3 - 7*b**2 - 6*b = 0.
-2, -1/2, 0, 1, 3
Solve -g**2/3 - 6*g - 56/3 = 0 for g.
-14, -4
Suppose -25*f**4 + 120*f**3 - 184*f**2 + 96*f - 16 = 0. What is f?
2/5, 2
What is w in -121*w**4/5 - 616*w**3/5 - 1048*w**2/5 - 672*w/5 - 144/5 = 0?
-2, -6/11
Find h, given that -2*h**3 - 498*h**2 - 31248*h - 30752 = 0.
-124, -1
Determine t so that -140*t**5 - 796*t**4 - 776*t**3 + 848*t**2 + 736*t + 128 = 0.
-4, -2, -2/5, -2/7, 1
Factor -10*j**4 - 24*j**3 + 22*j**2 + 12*j.
-2*j*(j - 1)*(j + 3)*(5*j + 2)
Factor -3*m**3 + 48*m**2 + 3*m - 48.
-3*(m - 16)*(m - 1)*(m + 1)
Factor -4*f**2 + 1244*f.
-4*f*(f - 311)
What is z in -15*z**5/2 - 21*z**4/2 + 27*z**3 + 42*z**2 + 12*z = 0?
-2, -1, -2/5, 0, 2
Factor 2*q**2/7 + 270*q/7 + 76.
2*(q + 2)*(q + 133)/7
Factor -2*m**5/9 - 394*m**4/9 + 398*m**3/3 - 1198*m**2/9 + 400*m/9.
-2*m*(m - 1)**3*(m + 200)/9
Factor -3*z**5 + 33*z**4 + 45*z**3 - 93*z**2 - 174*z - 72.
-3*(z - 12)*(z - 2)*(z + 1)**3
Factor 3*n**4 - 2025*n**3 + 4041*n**2 - 2019*n.
3*n*(n - 673)*(n - 1)**2
Find y such that 4*y**4/7 - 260*y**3 = 0.
0, 455
Factor 4*d**4 + 208*d**3 + 204*d**2.
4*d**2*(d + 1)*(d + 51)
What is u in -5*u**2 + 45*u - 40 = 0?
1, 8
Find u, given that -3*u**3/2 + 12*u**2 = 0.
0, 8
Factor 2*d**2/15 + 88*d/15 - 94/5.
2*(d - 3)*(d + 47)/15
Find g, given that -g**5/3 + 25*g**4/3 + 202*g**3 + 4232*g**2/3 + 12448*g/3 + 4480 = 0.
-5, -4, 42
Solve 3*d**5/5 - 9*d**3/5 + 6*d**2/5 = 0 for d.
-2, 0, 1
Factor -15*f**2 - 85*f - 50.
-5*(f + 5)*(3*f + 2)
Factor -3*h**2 - 327*h - 324.
-3*(h + 1)*(h + 108)
Factor 3*q**3 - 102*q**2 + 720*q.
3*q*(q - 24)*(q - 10)
What is p in 5*p**2 - 13945*p + 13940 = 0?
1, 2788
Let -3*k**3/5 - 28*k**2/5 - 7*k/5 + 18/5 = 0. Calculate k.
-9, -1, 2/3
Factor a**5/5 + 33*a**4/5 + 51*a**3 - 289*a**2/5.
a**2*(a - 1)*(a + 17)**2/5
Find g, given that -g**5 - 2493*g**4 - 1550016*g**3 + 4672508*g**2 - 9984*g - 6230016 = 0.
-1248, -1, 2
Factor -5*s**3 - 135*s**2 - 1215*s - 3645.
-5*(s + 9)**3
Factor -1058*q**4/11 - 54924*q**3/11 + 4782*q**2/11 - 104*q/11.
-2*q*(q + 52)*(23*q - 1)**2/11
Find v such that -2*v**3/9 - 1760*v**2/9 + 7064*v/9 - 7072/9 = 0.
-884, 2
Factor 3*z**2 - 918*z - 921.
3*(z - 307)*(z + 1)
Determine l, given that l**5/4 + 11*l**4/4 + 15*l**3/4 - 27*l**2/4 = 0.
-9, -3, 0, 1
Let -3*m**4 + 6*m**3 + 9*m**2 - 12*m - 12 = 0. What is m?
-1, 2
Find t, given that 3*t**5 - 189*t**4 - 1263*t**3 + 1449*t**2 = 0.
-7, 0, 1, 69
Suppose x**2/3 - 6*x - 19/3 = 0. Calculate x.
-1, 19
Find t, given that 2*t**3 + 4*t**2 = 0.
-2, 0
Suppose 3*k**2 + 3*k - 90 = 0. Calculate k.
-6, 5
Find c such that -5*c**4 - 10*c**3 + 5*c**2 + 10*c = 0.
-2, -1, 0, 1
Solve -p**4/7 + 11*p**3/7 + 25*p**2/7 + 13*p/7 = 0 for p.
-1, 0, 13
Suppose -12*v**4 + 56*v**3 - 84*v**2 + 40*v = 0. Calculate v.
0, 1, 5/3, 2
Factor 8*q**3 + 234*q**2 + 808*q.
2*q*(q + 4)*(4*q + 101)
Let k**3/10 + k**2/10 - 3*k/5 = 0. Calculate k.
-3, 0, 2
Let l**2/6 - 82*l/3 + 54 = 0. What is l?
2, 162
Solve 12769*m**2 + 2486*m + 121 = 0 for m.
-11/113
Solve n**5 - 5*n**3 + 4*n = 0 for n.
-2, -1, 0, 1, 2
Factor 2178*n**2 - 2112*n + 512.
2*(33*n - 16)**2
Solve b**2 - 1472*b + 541696 = 0 for b.
736
Factor -w**3/3 - 49*w**2 - 3422*w/3.
-w*(w + 29)*(w + 118)/3
Factor -c**3/8 + 75*c**2/4.
-c**2*(c - 150)/8
Factor k**5 - 26*k**4 + 252*k**3 - 1078*k**2 + 1715*k.
k*(k - 7)**3*(k - 5)
Determine a so that 2*a**2/3 + 8102*a/3 + 27