 + 85*y**3/6 + 25*y**2/3 = 0.
-10, -5/3, -1, 0
Let -2*l**5 + 12*l**4 - 18*l**3 + 8*l**2 = 0. What is l?
0, 1, 4
Factor -k**4/3 - 251*k**3 - 750*k**2.
-k**2*(k + 3)*(k + 750)/3
Determine w so that -4*w**5 + 26*w**4 - 34*w**3 - 24*w**2 = 0.
-1/2, 0, 3, 4
Determine n, given that 7*n**2/2 + 19*n/2 - 33 = 0.
-33/7, 2
Suppose -4*m**4 + 20*m**3 - 20*m**2 - 20*m + 24 = 0. Calculate m.
-1, 1, 2, 3
Find o such that -3*o**4/8 - 9*o**3/4 + 27*o**2/2 + 81*o = 0.
-6, 0, 6
Factor -2*z**5/3 - 16*z**4/3 - 50*z**3/3 - 76*z**2/3 - 56*z/3 - 16/3.
-2*(z + 1)**2*(z + 2)**3/3
Factor 4*y**4 - 584*y**3 + 2292*y**2 - 2848*y + 1136.
4*(y - 142)*(y - 2)*(y - 1)**2
Factor l**4 - 2*l**3 - 12*l**2 + 18*l + 27.
(l - 3)**2*(l + 1)*(l + 3)
Find r such that r**2/5 + 163*r/5 - 164/5 = 0.
-164, 1
Factor -2*h**4/15 - 16*h**3/5 + 34*h**2/5 - 52*h/15.
-2*h*(h - 1)**2*(h + 26)/15
Factor q**2/4 + 544*q + 295936.
(q + 1088)**2/4
Find v, given that -3*v**2/4 - 393*v/4 + 603/2 = 0.
-134, 3
Factor 2*b**2 + 16*b + 30.
2*(b + 3)*(b + 5)
Factor -21*h**3/2 + 183*h**2/2 - 57*h - 24.
-3*(h - 8)*(h - 1)*(7*h + 2)/2
Factor 2*d**5/21 - 178*d**4/21 + 176*d**3/21.
2*d**3*(d - 88)*(d - 1)/21
Solve 20*t**4 - 2160*t**3 - 4375*t**2 - 2745*t - 550 = 0.
-1, -1/2, 110
Let -27*h**4/7 + 60*h**3/7 - 39*h**2/7 + 6*h/7 = 0. Calculate h.
0, 2/9, 1
Factor 2*g**5 - 14*g**4 - 36*g**3 - 4*g**2 + 34*g + 18.
2*(g - 9)*(g - 1)*(g + 1)**3
Let 2*y**4/5 - 4*y**3 + 58*y**2/5 - 16*y/5 - 96/5 = 0. Calculate y.
-1, 3, 4
Factor -4*o**3/3 + 8*o**2/3 + 20*o/3 - 8.
-4*(o - 3)*(o - 1)*(o + 2)/3
Find p such that 5*p**2/4 - 3*p + 1 = 0.
2/5, 2
Find p, given that -2*p**5/7 - 4*p**4/7 + 6*p**3/7 + 8*p**2/7 - 8*p/7 = 0.
-2, 0, 1
Factor -v**5 - v**4 + 14*v**3 - 26*v**2 + 19*v - 5.
-(v - 1)**4*(v + 5)
Suppose 3*q**3 + 29*q**2/3 + 8*q + 4/3 = 0. What is q?
-2, -1, -2/9
Suppose -5*r**3 - 510*r**2 - 1005*r - 500 = 0. Calculate r.
-100, -1
Determine g, given that -3*g**5 + 27*g**4 + 63*g**3 + 33*g**2 = 0.
-1, 0, 11
Let -p**2 + 8*p/5 - 3/5 = 0. What is p?
3/5, 1
Factor 2*w**2 - 174*w + 2044.
2*(w - 73)*(w - 14)
Factor -4*o**4 - 52*o**3 + 420*o**2 - 684*o.
-4*o*(o - 3)**2*(o + 19)
Let -3*d**2 - 45*d + 102 = 0. Calculate d.
-17, 2
Let i**5/3 - 8*i**4/3 - 21*i**3 - 46*i**2/3 + 236*i/3 + 104 = 0. Calculate i.
-3, -2, 2, 13
Suppose -4*o**5/7 - 22*o**4/7 + 8*o**3/7 + 14*o**2 - 16*o + 32/7 = 0. What is o?
-4, 1/2, 1
Factor x**3/6 + 2*x**2 - 10*x + 32/3.
(x - 2)**2*(x + 16)/6
Factor 3*c**3 - 84*c**2 + 684*c - 1728.
3*(c - 16)*(c - 6)**2
Suppose -3*b**4 - 3*b**3 + 36*b**2 + 84*b + 48 = 0. What is b?
-2, -1, 4
Let k**3/4 - 255*k**2/4 + 21675*k/4 - 614125/4 = 0. Calculate k.
85
Factor 6*z**2/7 + 267*z/7 - 135/7.
3*(z + 45)*(2*z - 1)/7
Find t, given that -3*t**3/5 - 1251*t**2/5 - 173889*t/5 - 8056857/5 = 0.
-139
Factor -s**2/4 - 135*s/2 + 271/4.
-(s - 1)*(s + 271)/4
Factor 12*d**3 - 284*d**2 - 400*d.
4*d*(d - 25)*(3*d + 4)
Suppose 39*d**5 - 76*d**4 + 35*d**3 + 2*d**2 = 0. What is d?
-2/39, 0, 1
Suppose 2*b**5/19 + 194*b**4/19 + 4980*b**3/19 + 13060*b**2/19 - 4982*b/19 - 13254/19 = 0. Calculate b.
-47, -3, -1, 1
Factor -5*s**3 - 1950*s**2.
-5*s**2*(s + 390)
Suppose 8*d**4 - 62*d**3 - 200*d**2 + 194*d + 60 = 0. What is d?
-3, -1/4, 1, 10
Suppose -5*t**5 - 195*t**4 - 715*t**3 - 505*t**2 + 720*t + 700 = 0. What is t?
-35, -2, -1, 1
Find u, given that -u**4 + 23*u**3 - 80*u**2 + 76*u = 0.
0, 2, 19
Let 2*k**5 + 18*k**4 + 62*k**3 + 102*k**2 + 80*k + 24 = 0. What is k?
-3, -2, -1
Solve 2*r**5/23 + 12*r**4/23 + 14*r**3/23 - 12*r**2/23 - 16*r/23 = 0 for r.
-4, -2, -1, 0, 1
Let 2*w**5 - 18*w**4 - 545*w**3/8 - 375*w**2/8 + 17*w/4 + 3 = 0. Calculate w.
-2, -1, -1/4, 1/4, 12
Let -4*h**2 - 196*h - 2176 = 0. Calculate h.
-32, -17
Find w, given that -2*w**2/5 - 2282*w/5 = 0.
-1141, 0
Suppose -3*p**3 + 201*p**2 - 1566*p = 0. What is p?
0, 9, 58
Factor -3*o**4 - 8*o**3/3 + o**2/3.
-o**2*(o + 1)*(9*o - 1)/3
Factor o**2/5 - 8*o.
o*(o - 40)/5
What is s in 8*s**4 + 18*s**3 - 196*s**2 - 450*s - 100 = 0?
-5, -2, -1/4, 5
Suppose -4*q**5 - 212*q**4 + 216*q**3 = 0. What is q?
-54, 0, 1
Let -4*w**4/3 + 16*w**3/3 + 52*w**2 + 72*w = 0. Calculate w.
-3, -2, 0, 9
Determine u so that -2*u**2/5 + 6*u/5 = 0.
0, 3
Factor -q**3/5 - 251*q**2/5 - 15624*q/5 + 15876/5.
-(q - 1)*(q + 126)**2/5
Find p such that p**2/5 - 7*p/5 - 8/5 = 0.
-1, 8
Factor 4*f**2/3 + 35*f - 27.
(f + 27)*(4*f - 3)/3
Suppose -3*x**4/5 + 12*x**3/5 - 48*x/5 + 48/5 = 0. Calculate x.
-2, 2
Factor 3*y**4 - 633*y**3 + 3090*y**2.
3*y**2*(y - 206)*(y - 5)
Suppose 9*i**4 - 393*i**3 + 255*i**2 + 129*i = 0. Calculate i.
-1/3, 0, 1, 43
Factor q**3/3 + 2*q**2/3 - 5*q/3 - 2.
(q - 2)*(q + 1)*(q + 3)/3
Solve 16*f**3/7 - 128*f**2/7 + 116*f/7 - 4 = 0.
1/2, 7
Factor -2*m**2/9 + 182*m/3 - 1084/9.
-2*(m - 271)*(m - 2)/9
Factor v**3 - 16*v**2 - v + 16.
(v - 16)*(v - 1)*(v + 1)
Factor -r**2 + 75*r + 76.
-(r - 76)*(r + 1)
Suppose -4*d**4/7 + 30*d**3/7 - 26*d**2/7 - 72*d/7 + 72/7 = 0. What is d?
-3/2, 1, 2, 6
Factor 2*h**3/5 + 6*h**2/5 - 8*h/5 - 24/5.
2*(h - 2)*(h + 2)*(h + 3)/5
Let -2*x**5 - 6*x**4 + 62*x**3 - 130*x**2 + 108*x - 32 = 0. What is x?
-8, 1, 2
Factor 3*i**2/5 + 9*i/5.
3*i*(i + 3)/5
Find b such that -b**5 - 1636*b**4 - 664201*b**3 + 4024550*b**2 - 8075356*b + 5392328 = 0.
-821, 2
Factor -5*f**4/4 - 61*f**3/2 - 12*f**2.
-f**2*(f + 24)*(5*f + 2)/4
Find q, given that 4*q**2/7 + 3144*q/7 + 617796/7 = 0.
-393
Find o such that 81*o**2/2 - 1515*o/2 - 228 = 0.
-8/27, 19
Factor 4*m**3 + 36*m**2 - 84*m + 44.
4*(m - 1)**2*(m + 11)
Solve -5*z**5/3 + 8*z**4/3 + 5*z**3/3 - 8*z**2/3 = 0 for z.
-1, 0, 1, 8/5
Factor -r**5/4 - 3*r**4/4.
-r**4*(r + 3)/4
Factor 3*m**3 + 39*m**2 + 150*m + 168.
3*(m + 2)*(m + 4)*(m + 7)
Determine f so that -f**5/4 - 5*f**4/4 + f**3/2 + 5*f**2/2 - f/4 - 5/4 = 0.
-5, -1, 1
Suppose 5*u**4 - 255*u**3 - 1365*u**2 - 1945*u - 840 = 0. What is u?
-3, -1, 56
Factor -3*u**2/2 + 912*u - 138624.
-3*(u - 304)**2/2
Solve k**2/4 - 13*k + 160 = 0.
20, 32
Factor -2*u**5/5 - 82*u**4/5 - 1286*u**3/5 - 9526*u**2/5 - 32912*u/5 - 42592/5.
-2*(u + 4)**2*(u + 11)**3/5
Factor m**2/5 + 5471*m/5.
m*(m + 5471)/5
Suppose -30*i**4 + 115*i**3 - 80*i**2 - 115*i + 110 = 0. What is i?
-1, 1, 11/6, 2
Factor 4*j**3 + 2184*j**2 + 4356*j + 2176.
4*(j + 1)**2*(j + 544)
Let -3*m**2 - 1902*m - 301467 = 0. What is m?
-317
Factor 2*h**3 - 2*h.
2*h*(h - 1)*(h + 1)
Suppose a**4/2 + 55*a**3 + 1566*a**2 + 2916*a = 0. What is a?
-54, -2, 0
Factor s**3/9 - 83*s**2/9 - 28*s/3.
s*(s - 84)*(s + 1)/9
Factor 4*b**3 - 40*b**2 + 36*b.
4*b*(b - 9)*(b - 1)
Solve 2*t**4/5 - 18*t**3/5 + 8*t**2/5 + 72*t/5 - 64/5 = 0.
-2, 1, 2, 8
Factor -i**2/3 - 560*i/3.
-i*(i + 560)/3
Let -15*p**5 - 204*p**4 + 99*p**3 + 204*p**2 - 84*p = 0. What is p?
-14, -1, 0, 2/5, 1
Let l**2 - 661*l - 662 = 0. Calculate l.
-1, 662
What is y in y**4 + 29*y**3 - 184*y**2 - 476*y = 0?
-34, -2, 0, 7
Factor -4*p**2 - 16*p.
-4*p*(p + 4)
Factor -2*j**3 + 52*j**2 - 96*j.
-2*j*(j - 24)*(j - 2)
Factor -r**3 - 1349*r**2 + 4054*r - 2704.
-(r - 2)*(r - 1)*(r + 1352)
Factor j**3/4 + 33*j**2/4 + 73*j/2 + 42.
(j + 2)*(j + 3)*(j + 28)/4
Find s, given that s**2/2 + 61*s/2 - 63 = 0.
-63, 2
Suppose -5*k**2 + 485*k - 950 = 0. Calculate k.
2, 95
Let 3*x**5 - 42*x**4 - 18*x**3 + 228*x**2 + 327*x + 126 = 0. What is x?
-1, 3, 14
Determine x, given that -4*x**4 + 1064*x**3 - 71812*x**2 + 140448*x - 69696 = 0.
1, 132
Let -2*u**5 - 34*u**4 - 62*u**3 + 314*u**2 + 64*u - 280 = 0. What is u?
-14, -5, -1, 1, 2
Determine b, given that -b**2/2 + 2*b + 16 = 0.
-4, 8
Factor 2*f**3/11 + 12*f**2/11 - 72*f/11 + 80/11.
2*(f - 2)**2*(f + 10)/11
Factor -2*p**2/3 - 4*p/3 + 70/3.
-2*(p - 5)*(p + 7)/3
What is f in 66*f**2/7 - 2*f/7 - 64/7 = 0?
-32/33, 1
Factor 4*l**3 + 248*l**2 + 3844*l.
4*l*(l + 31)**2
Let -3*p**4/2 + 21*p**3 - 147*p**2/2 = 0. What is p?
0, 7
Factor 2*z**4/7 - 1252*z**3/7 + 198426*z**2/7 - 778744*z/7 + 773768/7.
2*(z - 311)**2*(z - 2)**2/7
Find k, given that 5*k**4/4 - 9*k**3/2 - 2*k**2 = 0.
-2/5, 0, 4
Factor m**2/11 + 160*m/11 + 316/11.
(m + 2)*(m + 158)/11
Solve 3*o**2 + 23388*o + 45583212 = 0 for o.
-3898
Determine r, given that 2*r**5/9 - 26*r**4/9 + 20*r**3/9 + 16*r**2/3 = 0.
-1, 0, 2, 12
Factor d**2/2 - 827*d + 683929/2.
(d - 827)**2/2
What is x in -x**2 + 6868*x - 11792356 = 0?
3434
Factor -c**4 + 23*c**3 - 111*c**2 + 157*c -