t - 36 = 0.
-3, -1, 1, 3
Factor 5*d**5 - 435*d**4 + 9675*d**3 - 9245*d**2.
5*d**2*(d - 43)**2*(d - 1)
Factor -4*c**5/7 - 5380*c**4/7 - 2894440*c**3/7 - 778604360*c**2/7 - 104722286420*c/7 - 5634059009396/7.
-4*(c + 269)**5/7
Determine y, given that -2*y**3/3 + 132*y**2 - 8712*y + 191664 = 0.
66
Factor 4*j**3/3 + 332*j**2/3 + 652*j/3 + 108.
4*(j + 1)**2*(j + 81)/3
Factor -2*o**3/7 - 30*o**2/7 + 234*o/7 - 54.
-2*(o - 3)**2*(o + 21)/7
Factor 4*p**4 + 32*p**3 + 72*p**2 + 64*p + 20.
4*(p + 1)**3*(p + 5)
Suppose 3*t**3 - 30*t**2 - 159*t - 126 = 0. Calculate t.
-3, -1, 14
What is o in -4*o**3 + 924*o**2 + 936*o - 1856 = 0?
-2, 1, 232
Determine l so that l**3/2 - 103*l**2/2 - 158*l - 106 = 0.
-2, -1, 106
Suppose 3*h**5 - 36*h**4 + 132*h**3 - 126*h**2 - 135*h + 162 = 0. Calculate h.
-1, 1, 3, 6
Suppose -5*f**3 + 130*f**2 - 455*f + 330 = 0. Calculate f.
1, 3, 22
Solve -p**3/4 + 31*p**2/4 - 50*p + 92 = 0 for p.
4, 23
Factor -5*x**2 + 360*x - 6480.
-5*(x - 36)**2
Factor -l**4/7 - 36*l**3/7 + 156*l**2/7 - 160*l/7.
-l*(l - 2)**2*(l + 40)/7
Factor 5*j**5 + 15*j**4 - 90*j**3 - 160*j**2 + 480*j.
5*j*(j - 3)*(j - 2)*(j + 4)**2
Factor 3*y**4 + 15*y**3 - 3*y**2 - 15*y.
3*y*(y - 1)*(y + 1)*(y + 5)
Solve -5*b**4 + 40*b**3 + 5*b**2 - 40*b = 0 for b.
-1, 0, 1, 8
Solve 2*n**2/7 + 524*n/7 + 34322/7 = 0 for n.
-131
Find b such that -5*b**2 - 1730*b - 149645 = 0.
-173
Find r such that -r**2/11 - 4*r/11 - 4/11 = 0.
-2
What is j in 2*j**3 + 34*j**2 + 54*j - 90 = 0?
-15, -3, 1
Factor -3*n**4 + 84*n**3 + 273*n**2 + 186*n.
-3*n*(n - 31)*(n + 1)*(n + 2)
Find k such that 3*k**3 + 36*k**2 - 1377*k + 7290 = 0.
-30, 9
What is m in -28*m**5 - 92*m**4 - 31*m**3 + 82*m**2 - 4*m - 8 = 0?
-2, -2/7, 1/2
Find a such that 6*a**3/5 + 116*a**2/5 + 126*a + 648/5 = 0.
-9, -4/3
Determine h so that -h**4/4 + h**3 + h**2/4 - 4*h + 3 = 0.
-2, 1, 2, 3
Factor 4*s**2 - 4*s.
4*s*(s - 1)
Let -2*h**4 + 808*h**3 + 1622*h**2 + 812*h = 0. Calculate h.
-1, 0, 406
Find b such that -3*b**3/2 + 2019*b**2/2 + 1011*b = 0.
-1, 0, 674
Let 12*u**2 - 152*u - 52 = 0. What is u?
-1/3, 13
Suppose -35*o**3 - 80*o**2 - 20*o = 0. Calculate o.
-2, -2/7, 0
Solve 7*l**4/3 + 4533*l**3 + 7765*l**2 + 5821*l/3 - 1294 = 0.
-1941, -1, 2/7
Solve 7*l**5/2 + 37*l**4/2 + 59*l**3/2 + 35*l**2/2 + 3*l = 0.
-3, -1, -2/7, 0
What is o in -3*o**5 - 30*o**4 + 111*o**3 - 78*o**2 = 0?
-13, 0, 1, 2
Solve 11*t**4/5 - 16*t**3/5 - 11*t**2/5 + 16*t/5 = 0 for t.
-1, 0, 1, 16/11
Factor 2*q**3/5 - 248*q**2/5 + 968*q/5 - 192.
2*(q - 120)*(q - 2)**2/5
Factor -4*m**4 + 16*m**3 + 116*m**2 + 96*m.
-4*m*(m - 8)*(m + 1)*(m + 3)
Suppose r**2/3 - 74*r/3 + 1369/3 = 0. What is r?
37
Solve -5*w**3 - 100*w**2 - 95*w = 0.
-19, -1, 0
Let d**2/4 - 183*d + 731/4 = 0. What is d?
1, 731
Factor -4*i**3 - 284*i**2 - 5180*i - 4900.
-4*(i + 1)*(i + 35)**2
Factor j**3/5 + 6*j**2/5 - j/5 - 6/5.
(j - 1)*(j + 1)*(j + 6)/5
Factor -4*y**5/5 + 76*y**4/5 + 164*y**3/5 + 84*y**2/5.
-4*y**2*(y - 21)*(y + 1)**2/5
Factor -12*a**3 + 9*a**2 + 30*a.
-3*a*(a - 2)*(4*a + 5)
Factor -125*z**5/2 - 1200*z**4 - 6435*z**3 - 6480*z**2 - 3645*z/2.
-5*z*(z + 9)**2*(5*z + 3)**2/2
Suppose -2*u**5/15 + 248*u**4/15 - 10748*u**3/15 + 60216*u**2/5 - 252486*u/5 - 316368/5 = 0. Calculate u.
-1, 8, 39
Factor -9*o**5/8 + 13*o**4/2 + 3*o**3/2.
-o**3*(o - 6)*(9*o + 2)/8
Factor -2*m**4/11 + 800*m**3/11 - 78384*m**2/11 - 323200*m/11 - 326432/11.
-2*(m - 202)**2*(m + 2)**2/11
Factor 4*w**2 - 5928*w + 5924.
4*(w - 1481)*(w - 1)
Determine n so that 12*n**3/7 + 573*n**2/7 - 732*n/7 + 21 = 0.
-49, 1/4, 1
Determine i, given that 49*i**4/4 - 301*i**3/4 + 74*i**2 - 20*i = 0.
0, 4/7, 5
Let g**3 - 9*g**2 - 81*g - 135 = 0. What is g?
-3, 15
Determine m so that 6*m**4/7 - 150*m**3/7 - 492*m**2/7 - 48*m = 0.
-2, -1, 0, 28
Factor -i**4/2 - 115*i**3/2 - 3361*i**2/2 - 3021*i/2 + 3249.
-(i - 1)*(i + 2)*(i + 57)**2/2
Factor -s**2 - 5*s - 4.
-(s + 1)*(s + 4)
Factor -o**3/7 - 76*o**2/7 - 291*o/7 - 216/7.
-(o + 1)*(o + 3)*(o + 72)/7
Determine h so that 14*h**5/11 - 1116*h**4/11 - 320*h**3/11 = 0.
-2/7, 0, 80
Solve 16*d**4 - 156*d**3 - 216*d**2 - 44*d = 0.
-1, -1/4, 0, 11
Suppose -17*u**2/6 + u/2 = 0. Calculate u.
0, 3/17
Factor 5*j**5 - 75*j**4 + 330*j**3 - 580*j**2 + 360*j.
5*j*(j - 9)*(j - 2)**3
Solve 5*f**4 + 2050*f**3 - 15*f**2 - 6160*f - 4100 = 0 for f.
-410, -1, 2
Factor -2*u**4 + 10*u**3 - 4*u**2 - 40*u + 48.
-2*(u - 3)*(u - 2)**2*(u + 2)
Factor -4*m**5 + 140*m**4 - 624*m**3 + 704*m**2 + 512*m - 960.
-4*(m - 30)*(m - 2)**3*(m + 1)
Let 4*m**5 + 52*m**4 + 100*m**3 - 788*m**2 - 2408*m - 1568 = 0. Calculate m.
-7, -2, -1, 4
Factor -18*k**2/5 + 2634*k/5 + 1764/5.
-6*(k - 147)*(3*k + 2)/5
What is o in o**2/3 + 112*o/3 + 37 = 0?
-111, -1
Factor 4*l**4/5 - 2209*l**3/5 + 406824*l**2/5 - 25019584*l/5 + 6229504/5.
(l - 184)**3*(4*l - 1)/5
Factor 3*h**5 - 18*h**4 + 39*h**3 - 36*h**2 + 12*h.
3*h*(h - 2)**2*(h - 1)**2
Factor u**3 + 5964*u**2 + 8892324*u.
u*(u + 2982)**2
Solve 70*y**5 + 135*y**4 - 1275*y**3 + 2315*y**2 - 1695*y + 450 = 0.
-6, 1, 15/14
Factor v**3/9 + 41*v**2/9 - 89*v/9 - 43/3.
(v - 3)*(v + 1)*(v + 43)/9
Factor -2*w**5/11 - 10*w**4/11 - 8*w**3/11.
-2*w**3*(w + 1)*(w + 4)/11
Find p such that -375*p**5 + 4400*p**4 + 6160*p**3 + 270*p**2 - 985*p + 130 = 0.
-1, -2/3, 1/5, 13
Factor 15*z**4/2 - 24*z**3 + 9*z**2/2.
3*z**2*(z - 3)*(5*z - 1)/2
Factor p**5 + 64*p**4 + 772*p**3 - 16688*p**2 - 203840*p + 2195200.
(p - 10)**2*(p + 28)**3
Let -2*y**3/7 - 184*y**2/7 + 760*y/7 - 768/7 = 0. Calculate y.
-96, 2
Suppose -5*t**3/3 + 24*t**2 + 47*t/3 - 10 = 0. Calculate t.
-1, 2/5, 15
Factor -15*x**2 - 51*x - 18.
-3*(x + 3)*(5*x + 2)
Factor -2*n**3 + 166*n**2 - 326*n + 162.
-2*(n - 81)*(n - 1)**2
What is p in -p**3/3 - 56*p**2/3 = 0?
-56, 0
Factor 5*m**2 - 530*m - 535.
5*(m - 107)*(m + 1)
Factor 2*i**5/3 - 2*i**4/3 - 2*i**3 + 10*i**2/3 - 4*i/3.
2*i*(i - 1)**3*(i + 2)/3
Determine h so that 5*h**4 - 5*h**3 - 10*h**2 = 0.
-1, 0, 2
Find q, given that -2*q**3/7 + 4*q**2 - 120*q/7 + 144/7 = 0.
2, 6
Find h such that 2*h**5/3 + h**4/3 - 5*h**3/3 + 2*h**2/3 = 0.
-2, 0, 1/2, 1
Factor -3*r**2 + 12240*r - 12484800.
-3*(r - 2040)**2
Solve -2*s**4/5 + 2*s**3/5 + 42*s**2/5 - 18*s/5 - 216/5 = 0.
-3, 3, 4
Let -2*v**4 + 88*v**3/3 - 56*v**2/3 = 0. What is v?
0, 2/3, 14
Solve 196*f**4 + 28*f**3 - 132*f**2 + 36*f = 0.
-1, 0, 3/7
Determine n, given that -2*n**3/9 - 8*n**2/9 + 10*n/9 = 0.
-5, 0, 1
What is a in -1805*a**2 - 4560*a - 2880 = 0?
-24/19
Factor 3*q**3 + 1941*q**2 - 7800*q + 7812.
3*(q - 2)**2*(q + 651)
Find q, given that -q**5/5 - 769*q**4/5 - 148223*q**3/5 - 146687*q**2/5 + 148224*q/5 + 147456/5 = 0.
-384, -1, 1
Factor 2*n**2/11 - 76*n/11 - 430/11.
2*(n - 43)*(n + 5)/11
Factor -z**2/8 - 4*z + 273/8.
-(z - 7)*(z + 39)/8
Let 4*q**4 + 140*q**3 + 248*q**2 - 560*q - 1056 = 0. Calculate q.
-33, -2, 2
Solve 2*i**4/15 - 16*i**3/15 - 26*i**2/5 + 68*i/3 + 80/3 = 0 for i.
-5, -1, 4, 10
Let 768*f**3 - 1248*f**2 - 549*f - 54 = 0. Calculate f.
-3/16, 2
Find o such that 4*o**2 + 480*o = 0.
-120, 0
Solve 2*d**3 - 38*d**2 + 212*d - 288 = 0.
2, 8, 9
Factor -3*g**3 - 405*g**2 - 13464*g + 13872.
-3*(g - 1)*(g + 68)**2
Find k such that -2*k**4 + 44*k**3 - 150*k**2 + 108*k = 0.
0, 1, 3, 18
Let -4*f**4 + 76*f**3 - 400*f**2 + 528*f = 0. What is f?
0, 2, 6, 11
What is f in -f**2/8 + 5*f - 99/2 = 0?
18, 22
Determine b, given that -2*b**2/9 + 2944*b/9 - 1083392/9 = 0.
736
Find c, given that -2*c**4/7 - 480*c**3/7 - 38400*c**2/7 - 1024000*c/7 = 0.
-80, 0
Solve -5*m**5 + 20*m**4 - 30*m**3 + 20*m**2 - 5*m = 0 for m.
0, 1
Solve -5*f**2 - 11520*f - 6635520 = 0 for f.
-1152
Factor -g**4 - 4*g**3 + 44*g**2 + 96*g.
-g*(g - 6)*(g + 2)*(g + 8)
Factor 7*b**2 + 5836*b - 1668.
(b + 834)*(7*b - 2)
Find v, given that -2*v**2/17 + 46*v/17 + 348/17 = 0.
-6, 29
Solve -2*v**4/11 - 46*v**3/11 - 4*v**2 = 0 for v.
-22, -1, 0
Find z such that -14*z**4 - 66*z**3 - 36*z**2 + 16*z = 0.
-4, -1, 0, 2/7
Factor 5*h**4 + 130*h**3 - 995*h**2 - 1120*h.
5*h*(h - 7)*(h + 1)*(h + 32)
Suppose -4*a**2/9 - 228*a + 688 = 0. What is a?
-516, 3
Factor -w**3 - 18*w**2 - 33*w - 16.
-(w + 1)**2*(w + 16)
Let 6*r**5 - 58*r**4 + 124*r**3 - 84*r**2 - 2*r + 14 = 0. Calculate r.
-1/3, 1, 7
Suppose 2*d**4 - 16*d**3 - 20*d**2 + 16*d + 18 = 0. What is d?
-1, 1, 9
Factor 9*v**2 - 3063*v + 1020.
3*(v - 340)*(3*v - 1)
Solve t**5/7 - 5