-3*o**2 - 75*o + 78.
-3*(o - 1)*(o + 26)
Suppose -5*u**2 + 45 = 0. Calculate u.
-3, 3
Factor 3*w**4/7 + 12*w**3/7 - 33*w**2/7 + 18*w/7.
3*w*(w - 1)**2*(w + 6)/7
Factor 4*u**5 + 286*u**4 + 6619*u**3 + 89425*u**2/2 - 110446*u + 117649/2.
(u - 1)**2*(2*u + 49)**3/2
Factor -12*b**4 - 176*b**3 + 60*b**2.
-4*b**2*(b + 15)*(3*b - 1)
Factor -6*f**3/7 - 612*f**2/7 - 1200*f/7.
-6*f*(f + 2)*(f + 100)/7
Suppose 2*h**5/13 + 6*h**4/13 - 22*h**3/13 - 102*h**2/13 - 124*h/13 - 48/13 = 0. What is h?
-3, -2, -1, 4
What is d in -5*d**4 + 855*d**3 - 48735*d**2 + 925965*d = 0?
0, 57
Solve -i**3/6 - 302*i**2/3 - 1805*i/6 - 601/3 = 0.
-601, -2, -1
Factor -a**2 - 11*a + 12.
-(a - 1)*(a + 12)
Factor 4*k**5 + 11*k**4 - 9*k**3 - 53*k**2 - 55*k - 18.
(k + 1)**3*(k + 2)*(4*k - 9)
Suppose -c**4 + 2*c**3 + 13*c**2 + 10*c = 0. Calculate c.
-2, -1, 0, 5
Factor u**3/4 - u**2 - 3*u.
u*(u - 6)*(u + 2)/4
Let x**4/4 - 11*x**3 + 327*x**2/2 - 935*x + 7225/4 = 0. What is x?
5, 17
Solve s**5/3 - 7*s**4 - 22*s**3/3 = 0 for s.
-1, 0, 22
Find v, given that -v**5 - 3*v**4 + 2*v**3 + 12*v**2 + 8*v = 0.
-2, -1, 0, 2
Factor -14*m**4 + 24*m**3 + 8*m**2.
-2*m**2*(m - 2)*(7*m + 2)
Factor -5*x**4/2 - 1975*x**3/6 - 655*x**2/3.
-5*x**2*(x + 131)*(3*x + 2)/6
Solve -9*c**5/7 - 12*c**4 - 201*c**3/7 - 114*c**2/7 + 12*c + 72/7 = 0 for c.
-6, -2, -1, 2/3
Determine v, given that 2*v**2/15 - 32*v/15 = 0.
0, 16
Factor -4*k**3 + 592*k**2 - 580*k - 1176.
-4*(k - 147)*(k - 2)*(k + 1)
Factor 2*q**2 + 272*q + 9248.
2*(q + 68)**2
Factor -4*w**3 - 88*w**2 - 484*w.
-4*w*(w + 11)**2
Let 5*d**4 - 5*d**2 = 0. What is d?
-1, 0, 1
What is g in -36*g**3/5 + 332*g**2/5 - 72*g + 64/5 = 0?
2/9, 1, 8
Suppose 3*p**2 + 21*p - 24 = 0. What is p?
-8, 1
Factor -3*f**2 - 87*f + 90.
-3*(f - 1)*(f + 30)
What is v in -3*v**4/2 + 9*v**3 + 57*v**2/2 - 36*v = 0?
-3, 0, 1, 8
Factor 2*d**3/7 + 94*d**2/7 + 176*d + 2904/7.
2*(d + 3)*(d + 22)**2/7
Factor -t**3 - 118*t**2 + 239*t - 120.
-(t - 1)**2*(t + 120)
Factor 2*x**3/5 - 92*x**2/5 + 728*x/5 + 8112/5.
2*(x - 26)**2*(x + 6)/5
Suppose -2*z**2/9 + 30*z = 0. Calculate z.
0, 135
Factor 5*q**3 - 110*q**2 - 375*q.
5*q*(q - 25)*(q + 3)
Determine c so that c**4/2 + 51*c**3/2 + 96*c**2 + 94*c = 0.
-47, -2, 0
Let b**5 - 91*b**4 + 2203*b**3 - 6073*b**2 + 5896*b - 1936 = 0. Calculate b.
1, 44
Factor 2*i**2/5 - 42*i/5 + 8.
2*(i - 20)*(i - 1)/5
What is s in 15842*s**3 + 13706*s**2 - 2064*s + 72 = 0?
-1, 6/89
Determine f so that 2*f**2/13 - 56*f/13 - 120/13 = 0.
-2, 30
Factor -6*m**2 + 226*m + 76.
-2*(m - 38)*(3*m + 1)
Factor -2*b**3/3 + 14*b**2 - 142*b/3 + 34.
-2*(b - 17)*(b - 3)*(b - 1)/3
Find w such that -3*w**4 - 399*w**3 + 9*w**2 + 1191*w - 798 = 0.
-133, -2, 1
Solve 5*q**4 + 5*q**3 - 5*q**2 - 5*q = 0.
-1, 0, 1
Factor -4*i**2 + 24*i + 364.
-4*(i - 13)*(i + 7)
What is q in -q**3/6 + 19*q**2/3 - 160*q/3 - 400/3 = 0?
-2, 20
Factor -o**2 + 40*o + 41.
-(o - 41)*(o + 1)
Factor 2*x**2 - 46*x + 152.
2*(x - 19)*(x - 4)
What is b in -3*b**3/2 + 78*b**2 - 1863*b/2 - 2187 = 0?
-2, 27
Let h**5/5 - 331*h**4/5 + 659*h**3/5 - 329*h**2/5 = 0. What is h?
0, 1, 329
Solve 2*x**4/3 - 24*x**3 - 76*x**2/3 + 24*x + 74/3 = 0 for x.
-1, 1, 37
Find b such that 5*b**4 + 5060*b**3 - 15210*b**2 + 15220*b - 5075 = 0.
-1015, 1
Solve r**4/5 - 22*r**2/5 - 24*r/5 + 9 = 0 for r.
-3, 1, 5
Solve 2*c**2/9 - 58*c/9 - 20/3 = 0.
-1, 30
Factor -4*y**4 - 40*y**3 - 124*y**2 - 120*y.
-4*y*(y + 2)*(y + 3)*(y + 5)
Determine n, given that -5*n**5 + 35*n**4 - 20*n**3 - 60*n**2 = 0.
-1, 0, 2, 6
Solve -w**5/3 + w**4 + w**3 - 11*w**2/3 + 2*w = 0 for w.
-2, 0, 1, 3
Factor -3*y**3 - 1239*y**2 + 1248*y + 2484.
-3*(y - 2)*(y + 1)*(y + 414)
Factor 6*y**4/11 - 6*y**2/11.
6*y**2*(y - 1)*(y + 1)/11
Find a, given that 4*a**4 - 12*a**3 - 44*a**2 + 12*a + 40 = 0.
-2, -1, 1, 5
Factor -9*f**4 - 12*f**3 + 51*f**2 + 18*f.
-3*f*(f - 2)*(f + 3)*(3*f + 1)
Find m such that m**3 - 42*m**2 + 80*m = 0.
0, 2, 40
Let 4*q**5 + 72*q**4 + 181*q**3 - 573*q**2 + 400*q - 84 = 0. What is q?
-14, -6, 1/2, 1
Factor 3*d**3/5 - 30*d**2 + 291*d/5 - 144/5.
3*(d - 48)*(d - 1)**2/5
Factor -355*d**2 + 350*d + 5.
-5*(d - 1)*(71*d + 1)
Factor 2*i**4 + 30*i**3 + 76*i**2 + 48*i.
2*i*(i + 1)*(i + 2)*(i + 12)
Find j such that -26*j**5 + 2*j**4 + 130*j**3 - 10*j**2 - 104*j + 8 = 0.
-2, -1, 1/13, 1, 2
Find l, given that -5*l**3/2 + 175*l**2/2 - 335*l/2 + 165/2 = 0.
1, 33
Determine t so that 18*t**2/7 + 564*t/7 + 4418/7 = 0.
-47/3
Find q, given that -19*q**5/7 + 36*q**4/7 + 4*q**3/7 - 38*q**2/7 + 15*q/7 + 2/7 = 0.
-1, -2/19, 1
Determine l so that 2*l**4/5 + 28*l**3/5 + 18*l**2 = 0.
-9, -5, 0
Determine y so that -26*y**2/11 - 16*y/11 = 0.
-8/13, 0
Solve -4*d**4/5 + 168*d**3/5 + 1132*d**2/5 + 192*d = 0.
-5, -1, 0, 48
Factor -z**2/4 + z/4 + 5.
-(z - 5)*(z + 4)/4
Factor x**2 + 524*x + 68644.
(x + 262)**2
Determine v, given that -2*v**5/9 + 2*v**4/9 + 16*v**3/9 - 16*v**2/9 - 32*v/9 + 32/9 = 0.
-2, 1, 2
Suppose -3*p**3/2 - 9*p**2 - 27*p/2 - 6 = 0. What is p?
-4, -1
Suppose 3*n**4 - 963*n**3 - 5850*n**2 - 11748*n - 7848 = 0. Calculate n.
-2, 327
Determine d, given that 2*d**2/3 - 28*d/3 + 98/3 = 0.
7
Factor 2*a**2 + 144*a + 142.
2*(a + 1)*(a + 71)
Factor 3*n**3 - 771*n**2 + 49149*n + 49923.
3*(n - 129)**2*(n + 1)
Factor 2*j**2/7 - 86*j/7 - 276/7.
2*(j - 46)*(j + 3)/7
Suppose -48*j**5 + 404*j**4 - 104*j**3 - 468*j**2 + 152*j + 64 = 0. Calculate j.
-1, -1/4, 2/3, 1, 8
Factor -9*h**3 - 6*h**2 + 57*h - 18.
-3*(h - 2)*(h + 3)*(3*h - 1)
Factor 2*f**4/3 - 98*f**3/9 - 68*f**2/9.
2*f**2*(f - 17)*(3*f + 2)/9
Determine g, given that 2*g**4/9 - 160*g**3/9 + 1168*g**2/3 - 12160*g/9 + 11552/9 = 0.
2, 38
Suppose 4*n**2/5 + 224*n/5 + 3136/5 = 0. What is n?
-28
Find d such that d**5 - 90*d**4 - 97*d**3 + 546*d**2 = 0.
-3, 0, 2, 91
Suppose 20*x**4 + 448*x**3 + 2596*x**2 + 968*x = 0. What is x?
-11, -2/5, 0
Let v**3 + 2*v**2 = 0. Calculate v.
-2, 0
Let -4*y**2 + 380*y - 376 = 0. Calculate y.
1, 94
Determine d, given that 540*d**2 - 3*d = 0.
0, 1/180
Find q such that -8*q**5 - 60*q**4 + 284*q**3 - 268*q**2 - 36*q + 88 = 0.
-11, -1/2, 1, 2
Suppose -3*l**3/8 + 3*l**2/8 + 51*l/8 + 45/8 = 0. Calculate l.
-3, -1, 5
Determine j so that -j**3/6 + 160*j**2/3 - 25277*j/6 - 25921/3 = 0.
-2, 161
Factor -5*o**3 + 1815*o**2 - 167400*o + 486000.
-5*(o - 180)**2*(o - 3)
Suppose -2*v**3 + 86*v**2 - 368*v - 456 = 0. Calculate v.
-1, 6, 38
Factor -3*o**4/8 - 33*o**3 - 657*o**2 + 3036*o - 3174.
-3*(o - 2)**2*(o + 46)**2/8
Determine p, given that p**3/3 - 61*p**2/3 = 0.
0, 61
Factor w**2/5 + 1606*w/5.
w*(w + 1606)/5
Factor -4*h**2 - 19768*h - 24423364.
-4*(h + 2471)**2
Find v such that -v**5/3 + 34*v**4 - 200*v**3/3 - 2*v**2/3 + 67*v - 100/3 = 0.
-1, 1, 100
Factor q**5/2 - 7*q**4/2 + 15*q**3/2 - 9*q**2/2.
q**2*(q - 3)**2*(q - 1)/2
Find y such that 5*y**3/2 - 58*y**2 + 133*y/2 - 11 = 0.
1/5, 1, 22
Solve 2*g**3 + 644*g**2 + 52480*g + 102400 = 0.
-160, -2
What is y in -2*y**3/13 + 48*y**2/13 - 378*y/13 + 980/13 = 0?
7, 10
Factor -4*w**2 + 4704*w + 4708.
-4*(w - 1177)*(w + 1)
Suppose 3*y**4 + 756*y**3 - 762*y**2 - 756*y + 759 = 0. Calculate y.
-253, -1, 1
What is f in -32*f**5 + 432*f**4 - 1330*f**3 - 982*f**2 + 714*f - 98 = 0?
-1, 1/4, 7
Find m, given that -2*m**2/3 + 50*m + 308/3 = 0.
-2, 77
Solve -2*f**3/5 - 2323*f**2/5 + 1162*f/5 = 0 for f.
-1162, 0, 1/2
Factor -5*h**4 - 45*h**3 + 235*h**2 - 315*h + 130.
-5*(h - 2)*(h - 1)**2*(h + 13)
Let 5*t**2 - 70*t - 75 = 0. What is t?
-1, 15
What is w in -w**3/2 + 48*w**2 + w/2 - 48 = 0?
-1, 1, 96
What is r in 3*r**5 + 84*r**4 + 291*r**3 + 54*r**2 - 432*r = 0?
-24, -3, -2, 0, 1
Factor v**3/5 - 5*v**2 + 24*v/5.
v*(v - 24)*(v - 1)/5
Solve v**3/6 - 8*v**2/3 + 8*v = 0.
0, 4, 12
Factor 4*v**4/3 + 80*v**3/3 + 592*v**2/3 + 640*v + 768.
4*(v + 4)**2*(v + 6)**2/3
Determine v, given that 32*v**3/11 - 4560*v**2/11 + 2274*v/11 - 284/11 = 0.
1/4, 142
Suppose 2*k**2 + 18*k + 28 = 0. Calculate k.
-7, -2
Factor -3*d**3 - 27*d**2 - 42*d.
-3*d*(d + 2)*(d + 7)
Factor -4*r**2/9 + 44*r/9 - 40/9.
-4*(r - 10)*(r - 1)/9
Factor -5*q**3 - 170*q**2 - 615*q - 450.
-5*(q + 1)*(q + 3)*(q + 30)
What is k in -k**2/4 - 441*k/2 - 194481/4 = 0?
-441
Factor 5*f**3 + 15*f**2 - 20*f - 60.
5*(f - 2)*(f + 2)*(f + 3)
Factor -12*u**2 - 10203*u + 7659.
-3*(u + 851)*(4*u - 3)
What is b in -2*b**4 + 560*b**3 - 58800*b**2 + 2744000*b - 48020000 = 