4*t**5 - 36*t**4 + 84*t**3 - 76*t**2 + 24*t.
4*t*(t - 6)*(t - 1)**3
Let 80*d**2 - 12955*d - 810 = 0. Calculate d.
-1/16, 162
What is w in 2*w**4/7 + 192*w**3/7 + 4796*w**2/7 + 9024*w/7 + 4418/7 = 0?
-47, -1
Factor 3*q**4 + 3*q**3 - 195*q**2 - 675*q.
3*q*(q - 9)*(q + 5)**2
Suppose -2*q**4/7 + 6*q**3/7 + 10*q**2/7 - 6*q/7 - 8/7 = 0. What is q?
-1, 1, 4
Determine y so that 9*y**5/4 + 30*y**4 + 267*y**3/4 - 90*y**2 - 69*y + 60 = 0.
-10, -4, -1, 2/3, 1
Let -245*b**5 - 69195*b**4 - 503320*b**3 - 773420*b**2 + 571680*b - 88000 = 0. What is b?
-275, -4, 2/7
Factor w**4 - 183*w**3 + 543*w**2 - 541*w + 180.
(w - 180)*(w - 1)**3
Solve -d**2/8 - 1681*d/4 = 0 for d.
-3362, 0
Let -21*w**3/8 - 1047*w**2/8 - 12975*w/8 + 1875/8 = 0. What is w?
-25, 1/7
Determine m so that 9*m**3/7 + 12*m**2/7 - 15*m/7 - 6/7 = 0.
-2, -1/3, 1
Let q**4/2 - q**3/2 - 9*q**2/2 + 9*q/2 = 0. Calculate q.
-3, 0, 1, 3
Determine o, given that 14*o**3 + 92*o**2 - 154*o + 48 = 0.
-8, 3/7, 1
Suppose -5*b**5 + 5*b**4 + 210*b**3 + 40*b**2 - 2080*b - 1920 = 0. What is b?
-4, -1, 4, 6
Factor -s**2/3 - 26*s - 507.
-(s + 39)**2/3
Factor 3*f**5/5 + 339*f**4/5 + 2598*f**3 + 176934*f**2/5 + 316239*f/5 + 151959/5.
3*(f + 1)**2*(f + 37)**3/5
What is j in 5*j**3 + 2625*j**2 + 345840*j + 343220 = 0?
-262, -1
Suppose -2*s**3/3 - 16*s**2 - 78*s + 676/3 = 0. What is s?
-13, 2
Determine v so that v**2/4 + 11*v/2 + 24 = 0.
-16, -6
Factor -3*b**3 - 6*b**2 + 67*b/3 - 20/3.
-(b + 4)*(3*b - 5)*(3*b - 1)/3
Factor 2*m**3/15 + 112*m**2/15 - 152*m/15 - 11552/3.
2*(m - 20)*(m + 38)**2/15
Factor 3*c**3/2 - 171*c**2/2 - 267*c - 180.
3*(c - 60)*(c + 1)*(c + 2)/2
Factor -5*o**3 - 10*o**2 + 545*o + 550.
-5*(o - 10)*(o + 1)*(o + 11)
Factor 3*n**3/5 + 69*n**2 + 9744*n/5 - 10092/5.
3*(n - 1)*(n + 58)**2/5
Factor 2*n**3/5 + 8*n**2/5 + 2*n + 4/5.
2*(n + 1)**2*(n + 2)/5
Factor 5*t**4 + 35*t**3 + 50*t**2.
5*t**2*(t + 2)*(t + 5)
Determine k, given that -37*k**4/4 + 18*k**3 + k**2 = 0.
-2/37, 0, 2
Solve 2*g**5/5 + 2*g**4/5 - 34*g**3/5 - 42*g**2/5 + 72*g/5 = 0.
-3, 0, 1, 4
Factor -n**4/4 + 9*n**3/4 - 25*n**2/4 + 27*n/4 - 5/2.
-(n - 5)*(n - 2)*(n - 1)**2/4
Factor -4*p**2/7 - 6172*p/7 - 6168/7.
-4*(p + 1)*(p + 1542)/7
Determine p so that -2*p**2 - 58*p + 124 = 0.
-31, 2
Factor 4*j**2 - 36.
4*(j - 3)*(j + 3)
Let -2*d**4/5 - 48*d**3/5 - 124*d**2/5 + 48*d/5 + 126/5 = 0. Calculate d.
-21, -3, -1, 1
Factor -5*l**3/6 + 2135*l**2/2 + 4275*l/2 + 6415/6.
-5*(l - 1283)*(l + 1)**2/6
Factor f**4/3 - 58*f**3/3 - 959*f**2/3 - 1176*f.
f*(f - 72)*(f + 7)**2/3
Suppose 16*w**5 + 38*w**4 + 6*w**3 - 38*w**2 - 22*w = 0. Calculate w.
-11/8, -1, 0, 1
Factor 5*z**4 - 20*z**2.
5*z**2*(z - 2)*(z + 2)
Solve -h**3/7 - h**2 - 12*h/7 = 0 for h.
-4, -3, 0
Let 4*n**2 + 30*n + 26 = 0. What is n?
-13/2, -1
Let -2*g**4/3 + 2*g**3/3 + 8*g**2/3 - 8*g/3 = 0. What is g?
-2, 0, 1, 2
Factor n**5 - 1044*n**4 + 2085*n**3 - 1042*n**2.
n**2*(n - 1042)*(n - 1)**2
What is r in r**3 - 8*r**2 + 7*r = 0?
0, 1, 7
Solve w**5/2 - 3*w**4/2 - 12*w**3 - 14*w**2 = 0.
-2, 0, 7
Factor 2*x**2 + 2020*x + 510050.
2*(x + 505)**2
Suppose -2*u**2/5 - 42*u - 412/5 = 0. What is u?
-103, -2
What is q in 2*q**3/9 + 50*q**2/9 = 0?
-25, 0
Solve -3*s**3 - 12*s**2 + 48*s + 192 = 0.
-4, 4
Let i**2 + 28*i + 27 = 0. Calculate i.
-27, -1
Solve 15*l**4 + 204*l**3 - 99*l**2 - 204*l + 84 = 0.
-14, -1, 2/5, 1
Let -2*i**3/13 + 80*i**2/13 - 896*i/13 + 3072/13 = 0. What is i?
8, 24
Determine y so that -8*y**5 + 20*y**4 - 8*y**3 = 0.
0, 1/2, 2
Factor -2*b**3 - b**2 + 13*b - 6.
-(b - 2)*(b + 3)*(2*b - 1)
Let 114*n**5/5 + 100*n**4 + 368*n**3/5 - 476*n**2/5 - 482*n/5 - 24/5 = 0. Calculate n.
-3, -4/3, -1, -1/19, 1
Solve 2*s**3 - 180*s**2 + 352*s = 0 for s.
0, 2, 88
Factor -f**4/7 - 37*f**3/7 - 195*f**2/7 - 283*f/7 - 124/7.
-(f + 1)**2*(f + 4)*(f + 31)/7
Factor 10*o**2 + 37*o/2 - 3.
(o + 2)*(20*o - 3)/2
Let b**4/3 + 2*b**3/3 - 4*b**2/3 - 8*b/3 = 0. Calculate b.
-2, 0, 2
Factor 3*a**3/4 - 3*a**2 + 15*a/4 - 3/2.
3*(a - 2)*(a - 1)**2/4
Find a such that 2*a**2/3 - 536*a/3 - 1662 = 0.
-9, 277
Let -j**2 - 2*j + 3 = 0. Calculate j.
-3, 1
Factor 3*f**5 + 12*f**4 - 9*f**3 - 42*f**2 - 24*f.
3*f*(f - 2)*(f + 1)**2*(f + 4)
Factor -2*o**2/9 + 778*o/9.
-2*o*(o - 389)/9
Factor 166*p**2 + 496*p - 6.
2*(p + 3)*(83*p - 1)
Let -2*p**4/7 - 2*p**3/7 + 2*p**2 + 26*p/7 + 12/7 = 0. What is p?
-2, -1, 3
Factor -5*l**3 + 29355*l**2 - 58695*l + 29345.
-5*(l - 5869)*(l - 1)**2
Suppose 4*l**4 - 28*l**3 - 48*l**2 + 704*l - 1280 = 0. Calculate l.
-5, 4
Find v, given that -v**4/2 + v**3/2 + 2*v**2 - 2*v = 0.
-2, 0, 1, 2
Suppose -s**5 - 4*s**4 + s**3 + 4*s**2 = 0. Calculate s.
-4, -1, 0, 1
Factor -2*n**3/17 + 206*n**2/17 - 798*n/17 + 594/17.
-2*(n - 99)*(n - 3)*(n - 1)/17
Determine u, given that 2*u**4/9 - 10*u**3/3 + 26*u**2/3 - 74*u/9 + 8/3 = 0.
1, 12
Factor r**3/2 - 107*r**2/4 - 139*r/2 - 28.
(r - 56)*(r + 2)*(2*r + 1)/4
Factor 3*r**2 + 3*r - 60.
3*(r - 4)*(r + 5)
Suppose -5*q**2 - 2930*q - 429245 = 0. Calculate q.
-293
Factor -2*f**3/11 + 14*f**2/11 - 14*f/11 - 30/11.
-2*(f - 5)*(f - 3)*(f + 1)/11
Suppose -6*c**3/5 + 2*c**2/5 + 28*c/5 = 0. What is c?
-2, 0, 7/3
Factor q**5 + 17*q**4 + 30*q**3.
q**3*(q + 2)*(q + 15)
What is p in -3*p**5 + 6*p**4 + 21*p**3 - 24*p**2 - 36*p = 0?
-2, -1, 0, 2, 3
Factor -5*f**2/2 + 8950*f - 8010250.
-5*(f - 1790)**2/2
Let -2*g**5 - 6*g**4 + 590*g**3 - 1714*g**2 + 1692*g - 560 = 0. What is g?
-20, 1, 14
Factor a**2/7 + 13*a/7 - 48/7.
(a - 3)*(a + 16)/7
Determine o so that -3*o**5 + 141*o**4 - 2298*o**3 + 14310*o**2 - 22275*o + 10125 = 0.
1, 15
Factor 4*t**4 - 20*t**3 - 52*t**2 - 28*t.
4*t*(t - 7)*(t + 1)**2
Factor -150*j**4/7 + 780*j**3 - 55806*j**2/7 + 15912*j - 62424/7.
-6*(j - 17)**2*(5*j - 6)**2/7
What is x in x**2/4 - 92*x + 8464 = 0?
184
Factor a**3 - 17*a**2 + 84*a - 108.
(a - 9)*(a - 6)*(a - 2)
Determine g so that 4*g**5/5 + 8*g**4/5 - 48*g**3/5 - 56*g**2/5 + 44*g/5 + 48/5 = 0.
-4, -1, 1, 3
Find t, given that 5*t**3 - 35*t**2 - 120*t + 900 = 0.
-5, 6
Factor 2*y**4 + 16*y**3 + 36*y**2 + 32*y + 10.
2*(y + 1)**3*(y + 5)
Determine z so that 33*z**4 - 10995*z**3 + 1221777*z**2 - 45353601*z + 8205786 = 0.
2/11, 111
Solve l**2 - 98*l + 1872 = 0 for l.
26, 72
Determine u, given that 2*u**3/9 + 46*u**2/9 = 0.
-23, 0
Suppose 4*l**2/9 - 248*l/3 - 748/9 = 0. Calculate l.
-1, 187
Find a, given that -1058*a**3/9 + 2990*a**2/9 + 544*a/9 + 8/3 = 0.
-2/23, 3
Factor 10*m**3/3 + 182*m**2 - 226*m/3 - 110.
2*(m - 1)*(m + 55)*(5*m + 3)/3
Find n such that -n**3 + 7*n**2 + 34*n - 40 = 0.
-4, 1, 10
Determine k, given that -2*k**2 + 2*k + 24 = 0.
-3, 4
Solve -3*q**2 + 3429*q = 0 for q.
0, 1143
Factor -8*m**3/13 - 38*m**2/13 - 12*m/13 + 90/13.
-2*(m + 3)**2*(4*m - 5)/13
Solve 2*s**4 - 8*s**3 + 4*s**2 + 8*s - 6 = 0 for s.
-1, 1, 3
Determine m so that 3*m**3/4 + 147*m**2/2 - 297*m/4 = 0.
-99, 0, 1
Factor 2*b**4/9 - 2*b**3/3 - 88*b**2/3 - 1312*b/9 - 640/3.
2*(b - 15)*(b + 4)**3/9
Determine m, given that -9*m**5/7 + 223*m**4/7 - 106*m**3 + 580*m**2/7 + 24*m = 0.
-2/9, 0, 2, 21
Factor -5*b**3 + 600*b**2 - 18000*b.
-5*b*(b - 60)**2
Factor 495*v**3 - 570*v**2 + 100*v + 40.
5*(3*v - 2)**2*(11*v + 2)
Suppose 2*j**4/5 - 2*j**3/5 - 62*j**2/5 + 122*j/5 - 12 = 0. What is j?
-6, 1, 5
Suppose -2*r**4 - 6*r**3 + 30*r**2 - 34*r + 12 = 0. What is r?
-6, 1
Factor -4*u**2/5 - 44*u/5 + 48/5.
-4*(u - 1)*(u + 12)/5
Determine p so that -3*p**3 + 60*p**2 = 0.
0, 20
Find k, given that 16*k**2 + 3820*k - 956 = 0.
-239, 1/4
Factor 5*j**4 + 67*j**3 + 26*j**2.
j**2*(j + 13)*(5*j + 2)
Factor -v**3 + 21*v**2 - 99*v - 121.
-(v - 11)**2*(v + 1)
Suppose -i**2/9 - 494*i/9 + 55 = 0. Calculate i.
-495, 1
Suppose -4*b**3 + 80*b**2 - 148*b + 72 = 0. Calculate b.
1, 18
Suppose -q**3/5 - 39*q**2/5 - 144*q/5 - 28 = 0. What is q?
-35, -2
Suppose -l**3/6 + 31*l**2/6 + 53*l/3 - 68/3 = 0. Calculate l.
-4, 1, 34
Solve 8*f**4/5 + 19*f**3/5 + f**2/5 - 2*f = 0 for f.
-2, -1, 0, 5/8
Find a such that -2*a**3/13 - 252*a**2/13 + 782*a/13 + 1032/13 = 0.
-129, -1, 4
Factor -242*y**5 + 110*y**4 + 108*y**3 + 248*y**2/11 + 16*y/11.
-2*y*(y - 1)*(11*y + 2)**3/11
What is b in -b**2/2 + 3*b/2 = 0?
0, 3
What is m in -5*m**3/4 - 33*m**2/4 + 7*m/2 = 0?
-7, 0, 2/5
Find v, given that v**4/7 + 13*v**3 + 2202*v**2/7 + 5984*v/7 + 3872/7 = 0.
-44, -2, -1
Determine t, given that 2*t**4 + 104*t**3 + 202*t**2