 0. What is p?
-2, -1, 12
Factor 6*o**3 - 3467*o**2 - 4052*o - 579.
(o - 579)*(o + 1)*(6*o + 1)
Factor -56307*c**2/7 + 14796*c/7 - 972/7.
-3*(137*c - 18)**2/7
Factor 3*s**2 + 207*s + 594.
3*(s + 3)*(s + 66)
Let 2*v**5/15 + 98*v**4/15 + 596*v**3/5 + 14728*v**2/15 + 52528*v/15 + 21952/5 = 0. Calculate v.
-14, -4, -3
Suppose -4*i**2/5 + 128*i - 636/5 = 0. What is i?
1, 159
Factor 4*v**2 + 16*v - 180.
4*(v - 5)*(v + 9)
Factor h**3/10 - 9*h**2/2 - 433*h/10 + 477/10.
(h - 53)*(h - 1)*(h + 9)/10
Factor -5*j**2 + 50*j - 45.
-5*(j - 9)*(j - 1)
What is m in 2*m**4/5 - 12*m**3 + 114*m**2/5 - 56*m/5 = 0?
0, 1, 28
Solve 2*n**5 - 18*n**4 + 44*n**3 - 12*n**2 - 46*n + 30 = 0 for n.
-1, 1, 3, 5
Suppose -d**3/11 + d**2 + 25*d/11 + 13/11 = 0. What is d?
-1, 13
Factor 36*k**5 + 1908*k**4 + 26220*k**3 + 74884*k**2/3 + 24544*k/3 + 2704/3.
4*(k + 26)**2*(3*k + 1)**3/3
Solve -r**4 - r**3 + 6*r**2 + 4*r - 8 = 0.
-2, 1, 2
Factor 2*c**3 + 30*c**2.
2*c**2*(c + 15)
What is l in -l**3/2 + 695*l**2/2 - 121103*l/2 + 120409/2 = 0?
1, 347
Let u**3/10 + 3*u**2/2 - 27*u/5 = 0. What is u?
-18, 0, 3
Factor -2*l**3 - 996*l**2 - 994*l.
-2*l*(l + 1)*(l + 497)
Solve -35*q**5 + 145*q**4 + 15*q**3 - 145*q**2 + 20*q = 0.
-1, 0, 1/7, 1, 4
Determine l so that l**5/3 + l**4 - 2*l**3 - 10*l**2/3 + 7*l - 3 = 0.
-3, 1
Factor -s**2 + 266*s.
-s*(s - 266)
Factor -a**5/2 + 11*a**4/2 - 21*a**3 + 35*a**2 - 53*a/2 + 15/2.
-(a - 5)*(a - 3)*(a - 1)**3/2
Find i, given that -4*i**5/3 - 4*i**4/3 + 8*i**3/3 + 8*i**2/3 - 4*i/3 - 4/3 = 0.
-1, 1
Find s such that -3*s**4/2 + 27*s**3/4 - 3*s**2 = 0.
0, 1/2, 4
Solve -2*x**2/5 + 14*x/5 = 0 for x.
0, 7
Solve 3*c**5/5 - 18*c**4/5 - 84*c**3/5 + 234*c**2/5 + 513*c/5 - 648/5 = 0.
-3, 1, 3, 8
Factor 2*d**3 - 288*d**2 + 286*d.
2*d*(d - 143)*(d - 1)
Determine p, given that 2*p**4/21 - 8*p**3/7 + 30*p**2/7 - 116*p/21 + 16/7 = 0.
1, 4, 6
Factor -4*d**4 + 108*d**3 - 456*d**2 + 352*d.
-4*d*(d - 22)*(d - 4)*(d - 1)
Factor -2*a**2/5 + 66*a/5 - 124/5.
-2*(a - 31)*(a - 2)/5
Find c, given that 4*c**4 + 60*c**3 - 72*c**2 - 128*c = 0.
-16, -1, 0, 2
Find b, given that 98*b**4/5 + 336*b**3/5 - 454*b**2/5 - 204*b - 80 = 0.
-4, -5/7, 2
Factor -2*u**3/9 + 28*u**2/9 - 64*u/9 - 256/9.
-2*(u - 8)**2*(u + 2)/9
Suppose r**3/4 - 11*r**2/2 - 15*r/4 + 450 = 0. Calculate r.
-8, 15
Factor -5*k**2 - 40*k - 75.
-5*(k + 3)*(k + 5)
Find o such that -7*o**3/9 - 190*o**2/9 = 0.
-190/7, 0
Solve 5*p**4 - 30*p**3 + 160*p = 0 for p.
-2, 0, 4
Factor o**5/7 - 5*o**4/7 - 5*o**3/7 + 25*o**2/7 + 40*o/7 + 16/7.
(o - 4)**2*(o + 1)**3/7
Let a**5/4 + 13*a**4/4 + 27*a**3/4 - 41*a**2/4 - 29*a - 15 = 0. What is a?
-10, -3, -1, 2
Suppose -c**4/9 - 5*c**3/3 - 10*c**2/9 + 20*c/3 + 56/9 = 0. What is c?
-14, -2, -1, 2
Factor -v**2/3 + 11*v + 70/3.
-(v - 35)*(v + 2)/3
What is q in -3*q**4 - 42*q**3 + 261*q**2 - 444*q + 228 = 0?
-19, 1, 2
Factor m**4/4 + m**3 - 3*m**2/4 - 7*m/2 - 2.
(m - 2)*(m + 1)**2*(m + 4)/4
Find i such that 3*i**2/7 - 54*i/7 - 264/7 = 0.
-4, 22
Factor 4*q**4 + 628*q**3 + 22304*q**2 - 188272*q.
4*q*(q - 7)*(q + 82)**2
Factor -619*r**2 - 618*r + 1.
-(r + 1)*(619*r - 1)
Solve -u**3/4 - 37*u**2/2 - 661*u/4 - 336 = 0.
-64, -7, -3
Solve 3*s**3 + 297*s**2 + 9801*s + 107811 = 0.
-33
Let n**3 + 10*n**2 + 9*n = 0. Calculate n.
-9, -1, 0
Factor -u**2 - 99*u + 100.
-(u - 1)*(u + 100)
Factor 10*s**3/7 + 4*s**2/3.
2*s**2*(15*s + 14)/21
Let -t**5/5 - 3*t**4 - 63*t**3/5 - 17*t**2 - 36*t/5 = 0. What is t?
-9, -4, -1, 0
Find j such that -j**4/11 + 26*j**2/11 - 25/11 = 0.
-5, -1, 1, 5
Find j, given that 18*j**3/7 - 17*j**2/7 - j/7 = 0.
-1/18, 0, 1
Factor 25*i**4 - 55*i**3 + 35*i**2 - 5*i.
5*i*(i - 1)**2*(5*i - 1)
Solve -2249868*n**2 - 15588*n - 27 = 0 for n.
-3/866
Factor 2*t**5/7 + 2*t**4/7 - 4*t**3/7 - 4*t**2/7 + 2*t/7 + 2/7.
2*(t - 1)**2*(t + 1)**3/7
What is l in 2*l**2 + 12638*l - 12640 = 0?
-6320, 1
Factor 3*q**3 - 744*q**2 + 45375*q + 93750.
3*(q - 125)**2*(q + 2)
Determine n so that 50*n**2 - 1540*n + 11858 = 0.
77/5
Suppose k**4 + 23*k**3 + 41*k**2 - 23*k - 42 = 0. What is k?
-21, -2, -1, 1
Determine c so that 4*c**4 - 104*c**3 + 100*c**2 = 0.
0, 1, 25
Factor 3*g**2/5 + 288*g + 34560.
3*(g + 240)**2/5
Factor 3*d**3 - 96*d**2 + 768*d.
3*d*(d - 16)**2
Let -l**3/5 - 27*l**2 + 1128*l/5 - 2288/5 = 0. Calculate l.
-143, 4
Suppose k**2/3 - 2*k + 5/3 = 0. What is k?
1, 5
Factor -82*k**2/9 + 88*k/9 - 2/3.
-2*(k - 1)*(41*k - 3)/9
Factor 27*p**4 + 207*p**3 - 357*p**2 - 303*p - 54.
3*(p - 2)*(p + 9)*(3*p + 1)**2
Suppose 12*y**5/5 - 87*y**4/5 + 93*y**3/5 - 18*y**2/5 = 0. What is y?
0, 1/4, 1, 6
Let 2*d**2/5 - 316*d/5 + 624/5 = 0. Calculate d.
2, 156
Factor -2*y**2/19 - 68*y/19 - 66/19.
-2*(y + 1)*(y + 33)/19
Factor -2*v**2/5 - 26*v.
-2*v*(v + 65)/5
Let -5*i**3 + 130*i**2 + 5*i - 130 = 0. What is i?
-1, 1, 26
Suppose i**4/5 + 612*i**3/5 = 0. What is i?
-612, 0
Determine d, given that -32*d**4/5 - 176*d**3/5 + 1214*d**2/5 + 1036*d + 4704/5 = 0.
-8, -7/4, 6
Factor 3*y**3 - 24*y**2.
3*y**2*(y - 8)
Factor -528125*f**3 - 524875*f**2 + 3245*f - 5.
-5*(f + 1)*(325*f - 1)**2
What is b in -2*b**2/3 + 10*b/3 + 4 = 0?
-1, 6
Factor 2*l**3/11 + 138*l**2/11 + 48*l + 520/11.
2*(l + 2)**2*(l + 65)/11
Find u such that -174*u**2 + 524*u - 6 = 0.
1/87, 3
Suppose -2*h**3/7 + 10*h**2/7 - 8*h/7 = 0. Calculate h.
0, 1, 4
Let u**4/5 - 72*u**3/5 - 74*u**2/5 + 72*u/5 + 73/5 = 0. What is u?
-1, 1, 73
Find h such that 2*h**5/5 - 16*h**4/5 + 18*h**3/5 + 52*h**2/5 - 104*h/5 + 48/5 = 0.
-2, 1, 2, 6
Find j, given that 45*j**4/2 - 273*j**3/2 + 513*j**2/2 - 303*j/2 + 9 = 0.
1/15, 1, 2, 3
Let -4*z**2 + 24*z - 20 = 0. What is z?
1, 5
Factor -2*p**3/7 + 36*p**2/7 - 216*p/7 + 432/7.
-2*(p - 6)**3/7
Suppose -4*w**5 - 16*w**4 + 12*w**3 + 72*w**2 = 0. What is w?
-3, 0, 2
Solve 28*v**4 + 248*v**3 - 68*v**2 - 288*v = 0 for v.
-9, -1, 0, 8/7
Let 4*b**2 + 40*b - 44 = 0. What is b?
-11, 1
What is d in -5*d**5 + 25*d**4 + 205*d**3 - 765*d**2 - 2160*d + 2700 = 0?
-5, -3, 1, 6
Factor 5*m**2 + 185*m + 180.
5*(m + 1)*(m + 36)
Determine p, given that 2*p**2/5 - 12*p - 198/5 = 0.
-3, 33
Factor -m**2/5 - 687*m - 3434/5.
-(m + 1)*(m + 3434)/5
Solve -15*j**4 + 85*j**3 - 35*j**2 - 85*j + 50 = 0 for j.
-1, 2/3, 1, 5
Let 3*q**3/5 + 81*q**2/5 + 366*q/5 - 216 = 0. What is q?
-20, -9, 2
Solve 2*o**2 + 16*o = 0.
-8, 0
Let p**2/2 - 43*p/2 - 22 = 0. What is p?
-1, 44
Factor -4*u**4/3 - 8*u**3 + 44*u**2/3 + 80*u - 400/3.
-4*(u - 2)**2*(u + 5)**2/3
Solve 6*g**2/7 + 62*g/7 - 120/7 = 0 for g.
-12, 5/3
Let -12*p**3/11 - 90*p**2/11 - 114*p/11 - 36/11 = 0. What is p?
-6, -1, -1/2
Suppose 16*k**2/3 - 110*k/3 = 0. Calculate k.
0, 55/8
Factor -r**5 + 19*r**4 + 42*r**3.
-r**3*(r - 21)*(r + 2)
Factor 4*z**4 + 32*z**3 + 48*z**2.
4*z**2*(z + 2)*(z + 6)
Suppose 2*m**4 + 8*m**3 + 10*m**2 + 4*m = 0. What is m?
-2, -1, 0
Factor 2*l**4/3 - 752*l**3/3 + 35344*l**2 - 6644672*l/3 + 156149792/3.
2*(l - 94)**4/3
Solve 4*s**4 - 160*s**3 - 336*s**2 = 0.
-2, 0, 42
Factor -f**2/4 - 145*f/2 - 289/4.
-(f + 1)*(f + 289)/4
Factor -t**3/3 + 49*t**2 + 298*t/3.
-t*(t - 149)*(t + 2)/3
Let c**2/4 - 185*c/4 + 623/2 = 0. What is c?
7, 178
Factor 32*f**5/5 - 2080*f**4 + 252976*f**3 - 13603328*f**2 + 268506314*f + 1411823522/5.
2*(f + 1)*(2*f - 163)**4/5
Solve f**3 + 2*f**2 - 15*f = 0 for f.
-5, 0, 3
Find g such that 2*g**5/3 - 34*g**4/3 + 196*g**3/3 - 440*g**2/3 + 112*g = 0.
0, 2, 6, 7
Factor -3*b**2/5 - 1624*b/5 + 1084/5.
-(b + 542)*(3*b - 2)/5
Determine o so that -2*o**5 + 614*o**4 + 1236*o**3 + 4*o**2 - 1234*o - 618 = 0.
-1, 1, 309
Factor -y**2/5 + 256*y/5 - 51.
-(y - 255)*(y - 1)/5
Let 77*w**4/4 - 729*w**3/4 - 221*w**2/2 + 81*w - 10 = 0. Calculate w.
-1, 2/11, 2/7, 10
Factor 3*t**3/7 - 354*t**2/7 - 3*t/7 + 354/7.
3*(t - 118)*(t - 1)*(t + 1)/7
Let -5*j**3 - 20*j**2 + 15*j + 90 = 0. What is j?
-3, 2
Factor -4*z**4 + 80*z**3 - 68*z**2 - 152*z.
-4*z*(z - 19)*(z - 2)*(z + 1)
Suppose 4*c**4 - 172*c**3 + 2340*c**2 - 8100*c - 27000 = 0. Calculate c.
-2, 15
Factor 4*r**3 - 6*r**2 - 24*r - 14.
2*(r + 1)**2*(2*r - 7)
Let -9*b**5/4 + 69*b**4/2 - 373*b**3/4 + 34*b**2 + 59*b + 12 = 0. Calculate b.
-1/3, 2, 12
Solve k**5 + 14*k**4 + 68*k**3 + 136*k**2 + 96*k = 0.
-6, -4, -2, 0
Factor -x**2/4 - 41*x - 163/4.
-(x + 1)*(x + 163)/4
What is z in 56*z**2 - 508*z + 36 = 0?
1/14, 9
Factor -4*l**3 + 76*l**2 - 200*l + 128.
-4*(l - 16)*(l - 2)*(l -