
Factor -2*i**2 - 124*i.
-2*i*(i + 62)
Factor 4*s**3/3 - 64*s**2/3 + 52*s.
4*s*(s - 13)*(s - 3)/3
Suppose m**3 - 10*m**2 + 17*m + 28 = 0. Calculate m.
-1, 4, 7
Determine h, given that -2*h**4/3 + 8*h**3/3 + 42*h**2 + 292*h/3 + 176/3 = 0.
-4, -2, -1, 11
Determine y so that 16*y**5 - 1020*y**4 + 5504*y**3 - 9824*y**2 + 4608*y + 1856 = 0.
-1/4, 2, 58
Suppose -j**5 + 2*j**4 + 21*j**3 + 18*j**2 = 0. What is j?
-3, -1, 0, 6
Suppose -722*r**3 + 342*r**2/5 + 66*r/5 + 2/5 = 0. Calculate r.
-1/19, 1/5
Find j such that -2*j**5 - 32*j**4 + 292*j**3 - 664*j**2 + 590*j - 184 = 0.
-23, 1, 4
Factor u**4/5 - 29*u**3/5 + 16*u**2 - 52*u/5.
u*(u - 26)*(u - 2)*(u - 1)/5
Factor -t**3/4 - 5*t**2/4 - t.
-t*(t + 1)*(t + 4)/4
Determine g, given that 3*g**5/11 + 17*g**4/11 - 119*g**3/11 - 277*g**2/11 - 144*g/11 = 0.
-9, -1, 0, 16/3
What is i in i**2 + 427*i = 0?
-427, 0
Factor 2809*f**3/3 + 4664*f**2/3 + 1936*f/3.
f*(53*f + 44)**2/3
Factor x**2/4 - 28*x + 343.
(x - 98)*(x - 14)/4
Solve -4*o**2 + 1536*o + 1540 = 0 for o.
-1, 385
Find r such that -2*r**2/3 - 188*r/3 + 128 = 0.
-96, 2
Factor m**4/4 - 67*m**3/2 + 4621*m**2/4 - 2211*m + 1089.
(m - 66)**2*(m - 1)**2/4
Solve 4*x**2 + 12*x - 40 = 0.
-5, 2
Factor -3*y**4 + 9*y**3 + 12*y**2 - 36*y.
-3*y*(y - 3)*(y - 2)*(y + 2)
Factor -4*d**3/7 + 268*d**2/7 - 524*d/7 + 260/7.
-4*(d - 65)*(d - 1)**2/7
Solve 4*i**4 + 216*i**3 + 624*i**2 + 616*i + 204 = 0 for i.
-51, -1
Suppose -5*i**4 + 5*i**3 + 215*i**2/4 - 50*i - 375/4 = 0. What is i?
-3, -1, 5/2
Factor a**3/6 - 5*a**2/2 - a + 140/3.
(a - 14)*(a - 5)*(a + 4)/6
Let 8*i**3/13 - 70*i**2/13 + 94*i/13 + 28/13 = 0. What is i?
-1/4, 2, 7
Factor 5*b**5/2 - 65*b**4/2 + 315*b**3/2 - 675*b**2/2 + 270*b.
5*b*(b - 4)*(b - 3)**3/2
Find l such that 243*l**2 + 54*l + 3 = 0.
-1/9
Suppose -h**2 - 258*h - 16641 = 0. What is h?
-129
Let 2*o**2/7 + 272*o/7 = 0. What is o?
-136, 0
Suppose 4*b**5 + 52*b**4 + 148*b**3 - 148*b**2 - 376*b + 320 = 0. What is b?
-8, -5, -2, 1
Factor 2*h**4/9 - 92*h**3/9 + 168*h**2 - 1188*h + 3078.
2*(h - 19)*(h - 9)**3/9
Suppose 80*v**2 + 465*v - 90 = 0. What is v?
-6, 3/16
What is f in 50*f**4/3 + 410*f**3/3 - 484*f**2 + 952*f/3 - 176/3 = 0?
-11, 2/5, 2
Suppose j**5/3 - 4*j**4/3 - 7*j**3 + 52*j**2/3 + 20*j/3 - 16 = 0. Calculate j.
-4, -1, 1, 2, 6
Factor -27*s**2/4 - 12*s + 3.
-3*(s + 2)*(9*s - 2)/4
Determine h, given that h**3/3 - 5*h**2 + 12*h = 0.
0, 3, 12
Solve -2*c**3/9 - 74*c**2/9 + 154*c/9 - 26/3 = 0.
-39, 1
Factor -3*s**2 - 398*s - 264.
-(s + 132)*(3*s + 2)
Find c, given that -2*c**2 - 528*c = 0.
-264, 0
Solve 39*z**5 - 384*z**4 + 1227*z**3 - 1206*z**2 - 216*z = 0 for z.
-2/13, 0, 3, 4
Factor -y**4/6 + y**3/6 + 7*y**2/3 - 4*y.
-y*(y - 3)*(y - 2)*(y + 4)/6
Factor 3*g**3/5 - 6*g**2/5.
3*g**2*(g - 2)/5
Find d such that 2*d**2 + 1192*d + 2376 = 0.
-594, -2
Determine q so that -2*q**5 - 232*q**4 + 236*q**3 + 232*q**2 - 234*q = 0.
-117, -1, 0, 1
Solve 2*k**2/7 + 6*k - 144/7 = 0.
-24, 3
Determine w, given that 27*w**5 - 18*w**4 - 24*w**3 + 18*w**2 - 3*w = 0.
-1, 0, 1/3, 1
Factor k**3 + 3*k**2 - 18*k - 40.
(k - 4)*(k + 2)*(k + 5)
Find u, given that u**2/9 - 283*u/9 - 284/9 = 0.
-1, 284
Factor -2*p**3 + 8964*p**2 - 10044162*p.
-2*p*(p - 2241)**2
Suppose -v**2/3 + 379*v/3 - 376 = 0. What is v?
3, 376
Solve -m**2/4 + 1515*m - 2295225 = 0.
3030
Determine i, given that -4*i**5 - 112*i**4 + 364*i**3 - 248*i**2 = 0.
-31, 0, 1, 2
Factor -3*z**5 - 153*z**4 + 318*z**3.
-3*z**3*(z - 2)*(z + 53)
Let l**3/6 + 95*l**2 + 13442*l - 81796/3 = 0. Calculate l.
-286, 2
What is u in 2*u**2/9 - 20*u/3 - 350/9 = 0?
-5, 35
Determine f so that 4*f**3 - 368*f**2 + 8820*f - 16200 = 0.
2, 45
What is i in -3*i**4 + 24*i**3 + 57*i**2 - 474*i - 504 = 0?
-4, -1, 6, 7
Factor -u**2 + 55*u - 156.
-(u - 52)*(u - 3)
Determine g, given that g**5/2 + 13*g**4/2 - 43*g**3 + 36*g**2 = 0.
-18, 0, 1, 4
Determine s so that -2*s**5 - 18*s**4 - 16*s**3 = 0.
-8, -1, 0
Suppose 69*g**5 + 201*g**4 - 777*g**3 - 141*g**2 + 708*g - 60 = 0. What is g?
-5, -1, 2/23, 1, 2
Factor 16*i**2/19 + 74*i/19 - 30/19.
2*(i + 5)*(8*i - 3)/19
Factor 4*v**4 - 148*v**3 + 1716*v**2 - 4732*v - 17576.
4*(v - 13)**3*(v + 2)
Factor f**4/4 - 2*f**3 + 2*f**2 + 8*f - 12.
(f - 6)*(f - 2)**2*(f + 2)/4
Factor -p**4/3 + 4*p**3/3 + 6*p**2 + 20*p/3 + 7/3.
-(p - 7)*(p + 1)**3/3
Factor -a**4/3 + a**3/3 + 5*a**2 + 23*a/3 + 10/3.
-(a - 5)*(a + 1)**2*(a + 2)/3
Suppose 2*m**3/17 + 5844*m**2/17 + 5692056*m/17 + 1848020848/17 = 0. What is m?
-974
Factor -5*n**2 - 10*n + 75.
-5*(n - 3)*(n + 5)
Let -616*x**5 - 128*x**4 - 6*x**3 = 0. Calculate x.
-3/22, -1/14, 0
Factor -c**3/2 - 11*c**2/2 + 45*c/2 + 567/2.
-(c - 7)*(c + 9)**2/2
Suppose -x**3 + 10*x**2 - 23*x + 14 = 0. What is x?
1, 2, 7
Solve -4*l**5/7 - 32*l**4/7 + 416*l**3/7 + 1920*l**2/7 - 14400*l/7 = 0 for l.
-10, 0, 6
Factor -2*k**3/3 - 22*k**2/3 - 20*k/3.
-2*k*(k + 1)*(k + 10)/3
Let -5*n**3 + 5*n**2 + 2665*n + 22815 = 0. What is n?
-13, 27
Factor -o**4/2 + 2*o**2.
-o**2*(o - 2)*(o + 2)/2
Factor -2*j**3 - 116*j**2 + 240*j.
-2*j*(j - 2)*(j + 60)
Find a, given that 2*a**4 + 260*a**3/7 + 1272*a**2/7 + 540*a/7 - 486/7 = 0.
-9, -1, 3/7
Factor -2*c**2/9 - 622*c/9 + 628/3.
-2*(c - 3)*(c + 314)/9
Solve -c**3/6 + 41*c**2/6 - 299*c/6 - 2645/6 = 0.
-5, 23
Let -26*c**4/19 + 72*c**3/19 + 18*c**2/19 = 0. Calculate c.
-3/13, 0, 3
Suppose -2*g**4/7 + 6*g**3/7 + 36*g**2/7 = 0. Calculate g.
-3, 0, 6
Factor -g**4/4 - 3*g**3/4 + g**2 + 3*g.
-g*(g - 2)*(g + 2)*(g + 3)/4
Suppose -171*k**2 - 97*k/5 + 6/5 = 0. What is k?
-3/19, 2/45
Let 7*r**5 + 132*r**4 + 212*r**3 - 166*r**2 - 219*r + 34 = 0. What is r?
-17, -2, -1, 1/7, 1
Find x, given that 3*x**5/4 + 24*x**4 + 765*x**3/4 - 24*x**2 - 192*x = 0.
-16, -1, 0, 1
Factor 2*t**2 - 11180*t + 15624050.
2*(t - 2795)**2
Suppose -4*m**2 - 452*m - 1744 = 0. What is m?
-109, -4
Let -r**5/10 - 11*r**4/5 - 49*r**3/5 + 74*r**2/5 + 603*r/10 - 63 = 0. What is r?
-15, -7, -3, 1, 2
Factor -4*w**4 - 32*w**3 - 60*w**2 + 16*w + 80.
-4*(w - 1)*(w + 2)**2*(w + 5)
Suppose -a**3/6 + 245*a**2/6 - 7564*a/3 + 7442/3 = 0. What is a?
1, 122
What is v in -2*v**2 + 44*v - 144 = 0?
4, 18
Factor p**3/3 - 14*p**2/3 + 56*p/3 - 64/3.
(p - 8)*(p - 4)*(p - 2)/3
Factor 7*z**4/4 - 75*z**3/4 + 183*z**2/4 - 169*z/4 + 27/2.
(z - 1)**3*(7*z - 54)/4
Solve 3*c**2 - 99*c - 570 = 0.
-5, 38
Find w, given that 2*w**4/9 - 62*w**3/9 + 268*w**2/9 - 208*w/9 = 0.
0, 1, 4, 26
Let -y**3/4 + 27*y**2/4 + y/4 - 27/4 = 0. What is y?
-1, 1, 27
Determine d so that -d**2/4 + d/2 - 1/4 = 0.
1
Let 7*f**3 - 121*f**2 + 146*f - 32 = 0. Calculate f.
2/7, 1, 16
What is x in -x**2/4 + 105*x/4 - 343/2 = 0?
7, 98
What is h in -5*h**4/3 - 14*h**3 - 17*h**2 - 14*h/3 = 0?
-7, -1, -2/5, 0
Let v**2/9 - 2*v + 17/9 = 0. Calculate v.
1, 17
Factor 39*c**2/7 - 690*c/7 - 216/7.
3*(c - 18)*(13*c + 4)/7
Solve -12*i**5/5 + 118*i**4/5 + 56*i**3/5 - 1674*i**2/5 - 2632*i/5 - 392/5 = 0.
-2, -1/6, 7
Factor q**2/7 + 93*q/7 + 260.
(q + 28)*(q + 65)/7
Factor -g**3/5 - 63*g**2/5 + 129*g/5 - 13.
-(g - 1)**2*(g + 65)/5
Factor 2*r**4 + 4*r**3 - 56*r**2 + 92*r - 42.
2*(r - 3)*(r - 1)**2*(r + 7)
Factor 2*c**3/5 + 64*c**2/5.
2*c**2*(c + 32)/5
Factor 6*w**4/5 + 38*w**3/5 - 28*w**2/5.
2*w**2*(w + 7)*(3*w - 2)/5
Factor -j**4 - 6*j**3 + 27*j**2 + 108*j - 324.
-(j - 3)**2*(j + 6)**2
What is x in 2*x**5 - 46*x**4 - 50*x**3 + 46*x**2 + 48*x = 0?
-1, 0, 1, 24
Factor -5*p**2 - 25*p + 1170.
-5*(p - 13)*(p + 18)
Factor -l**4/5 - 162*l**3/5 + 339*l**2 - 860*l.
-l*(l - 5)**2*(l + 172)/5
Let z**2/2 + 48*z + 1152 = 0. Calculate z.
-48
Factor 4*x**5 - 60*x**4 + 336*x**3 - 832*x**2 + 768*x.
4*x*(x - 4)**3*(x - 3)
Determine g, given that -105*g**3 + 220*g**2 + 295*g - 30 = 0.
-1, 2/21, 3
Let 2*p**3/7 - 26*p**2/7 - 32*p/7 + 8 = 0. Calculate p.
-2, 1, 14
Determine k so that -k**5/3 + 38*k**4/3 - 143*k**3 + 1292*k**2/3 - 1156*k/3 = 0.
0, 2, 17
Determine g, given that -5*g**2 + 5120*g - 1310720 = 0.
512
Factor 2*p**2/7 - 34*p/7 + 120/7.
2*(p - 12)*(p - 5)/7
Determine c, given that c**2/2 - 3*c + 4 = 0.
2, 4
Factor -2*v**2/3 - 232*v/3 - 896/3.
-2*(v + 4)*(v + 112)/3
Factor -p**3/3 - 8*p**2 + 17*p - 26/3.
-(p - 1)**2*(p + 26)/3
Let b**3 + 3*b**2 + 3*b + 1 = 0. Calculate b.
-1
Solve -5*r**5/4 + 45*r**4/4 - 125*r**3/4 + 135*r**2/4 - 25*r/2 = 0.
0, 1, 2, 5
Find d such that 2*d**3 + 38*d**2 - 132*d = 0.
-22, 0, 3