2/3 - 88*d/3 + 8.
2*(d - 6)*(d + 2)*(4*d - 1)/3
Factor -a**2 - 10*a + 75.
-(a - 5)*(a + 15)
Solve 289*o**3/5 + 8347*o**2/5 - 197*o + 29/5 = 0 for o.
-29, 1/17
Factor -5*r**4 + 20*r**3 - 25*r**2 + 10*r.
-5*r*(r - 2)*(r - 1)**2
Factor a**5/4 + 41*a**4/4 + 72*a**3 + 206*a**2 + 268*a + 132.
(a + 2)**4*(a + 33)/4
Factor -28*z**2 - 72736*z + 20784.
-4*(z + 2598)*(7*z - 2)
Suppose 3*y**3 - 15*y**2 - 3*y + 15 = 0. Calculate y.
-1, 1, 5
Factor t**4/4 + 15*t**3 + 225*t**2.
t**2*(t + 30)**2/4
Find x, given that 5*x**2 - 350*x - 3120 = 0.
-8, 78
Factor 2*q**3 - 90*q**2 + 1056*q - 968.
2*(q - 22)**2*(q - 1)
Factor -2*j**2/9 - 8*j/9 + 64/3.
-2*(j - 8)*(j + 12)/9
Factor -102*g**2 + 220*g - 32.
-2*(g - 2)*(51*g - 8)
Find h, given that -h**3/6 + 79*h**2/6 + h/6 - 79/6 = 0.
-1, 1, 79
Solve -18*x**3/11 - 1146*x**2/11 - 758*x/11 - 126/11 = 0 for x.
-63, -1/3
Find w, given that -2*w**3 + 1020*w**2 - 173400*w + 9826000 = 0.
170
Factor 3*m**3 - 381*m**2 + 753*m - 375.
3*(m - 125)*(m - 1)**2
Determine p, given that -2*p**2/15 - 32*p/5 + 102/5 = 0.
-51, 3
Let -2*y**2 + 176*y - 3872 = 0. Calculate y.
44
Suppose -2*g**3/7 + 72*g**2/7 + 2130*g/7 - 2200/7 = 0. Calculate g.
-20, 1, 55
Find k such that 25*k**5/2 - 410*k**4 - 2881*k**3/2 - 4*k**2 + 798*k - 216 = 0.
-3, -1, 2/5, 36
What is h in 3*h**5 - 62*h**4/5 - 7*h**3/5 + 242*h**2/5 - 212*h/5 + 24/5 = 0?
-2, 2/15, 1, 2, 3
What is t in -2*t**3/11 - 3482*t**2/11 + 13952*t/11 - 13960/11 = 0?
-1745, 2
Factor -3*v**3 + 1446*v**2 - 174243*v.
-3*v*(v - 241)**2
Suppose -7*x**3 + 16*x**2 + 164*x - 48 = 0. What is x?
-4, 2/7, 6
Factor i**4/2 - 27*i**3/2 - 405*i**2.
i**2*(i - 45)*(i + 18)/2
Suppose 3*q**5/2 - 42*q**4 - 267*q**3 + 654*q**2 - 693*q/2 = 0. What is q?
-7, 0, 1, 33
Factor 2*q**4 - 15*q**3/4 + 3*q**2/2 + q/4.
q*(q - 1)**2*(8*q + 1)/4
Factor 2*w**3/11 + 932*w**2/11 + 107640*w/11 - 219024/11.
2*(w - 2)*(w + 234)**2/11
Factor 5*d**2 - 2870*d + 411845.
5*(d - 287)**2
Let 3*m**5 - 42*m**4 - 204*m**3 - 216*m**2 = 0. What is m?
-2, 0, 18
Factor 4*w**2 - 12*w + 8.
4*(w - 2)*(w - 1)
Let -p**4/5 + 8*p**3/5 + 43*p**2/5 + 58*p/5 + 24/5 = 0. Calculate p.
-2, -1, 12
What is x in -3*x**2/5 + 267*x/5 + 546/5 = 0?
-2, 91
Suppose 2*u**2 + 28*u + 48 = 0. Calculate u.
-12, -2
Determine u so that 5*u**3 - 995*u**2 + 1975*u - 985 = 0.
1, 197
Factor -3*k**4 - 207*k**3 - 3672*k**2 - 3468*k.
-3*k*(k + 1)*(k + 34)**2
Factor 5*q**2 + 1655*q + 3290.
5*(q + 2)*(q + 329)
Factor 4*q**3 - 532*q**2 + 1036*q + 1572.
4*(q - 131)*(q - 3)*(q + 1)
Factor 2*v**5 + 14*v**4 - 50*v**3 - 134*v**2 - 72*v.
2*v*(v - 4)*(v + 1)**2*(v + 9)
Factor t**3/8 + 1071*t**2/8 + 2139*t/8 + 1069/8.
(t + 1)**2*(t + 1069)/8
Solve 2*t**3/17 + 28*t**2/17 + 88*t/17 + 80/17 = 0.
-10, -2
Factor 3*x**4/7 + 45*x**3/7 + 36*x**2/7 - 12*x.
3*x*(x - 1)*(x + 2)*(x + 14)/7
Factor -2*q**3 - q**2/3 + 2*q + 1/3.
-(q - 1)*(q + 1)*(6*q + 1)/3
Suppose 6*g**3/13 + 22*g**2/13 - 48*g/13 - 40/13 = 0. Calculate g.
-5, -2/3, 2
Factor -g**3 - 7*g**2 - 14*g - 8.
-(g + 1)*(g + 2)*(g + 4)
Let 3*c**3/2 + 297*c**2/2 + 3717*c/2 + 12495/2 = 0. What is c?
-85, -7
Factor -2*g**3/13 - 172*g**2/13 + 174*g/13.
-2*g*(g - 1)*(g + 87)/13
Determine z so that -19*z**5/2 + 193*z**4/2 - 505*z**3/2 + 75*z**2/2 = 0.
0, 3/19, 5
Factor v**4/7 - 4*v**2/7.
v**2*(v - 2)*(v + 2)/7
Find c, given that -2*c**4/3 + 16*c**3/3 + 6*c**2 = 0.
-1, 0, 9
Let 12*s**5 + 669*s**4 + 9234*s**3 - 10743*s**2/4 - 4578*s + 1764 = 0. What is s?
-28, -3/4, 1/2
Solve -2*o**5/7 - 1076*o**4/7 + 4*o**3/7 + 2152*o**2/7 - 2*o/7 - 1076/7 = 0 for o.
-538, -1, 1
Factor -3*i**3 - 20271*i**2 - 34232649*i + 34252923.
-3*(i - 1)*(i + 3379)**2
Find z such that 9*z**2/2 - 19*z/2 + 5 = 0.
1, 10/9
What is u in 2*u**3/3 - 2*u**2/3 - 4*u/3 = 0?
-1, 0, 2
Factor -2*s**2 - 656*s - 654.
-2*(s + 1)*(s + 327)
Suppose i**4 + 5*i**3 - 21*i**2 + 23*i - 8 = 0. Calculate i.
-8, 1
Find d, given that 4*d**4 - 160*d**3 + 456*d**2 - 448*d + 148 = 0.
1, 37
Factor 4*n**2 + 8420*n.
4*n*(n + 2105)
Factor z**4/10 - 3*z**3 + 14*z**2/5 + 3*z - 29/10.
(z - 29)*(z - 1)**2*(z + 1)/10
Factor -b**3/5 + 2902*b**2/5 - 11596*b/5 + 11592/5.
-(b - 2898)*(b - 2)**2/5
Factor 3*c**4 + 33*c**3 + 78*c**2 + 48*c.
3*c*(c + 1)*(c + 2)*(c + 8)
Factor -i**4 - 42*i**3 + 4*i**2 + 168*i.
-i*(i - 2)*(i + 2)*(i + 42)
Factor -3*r**3/7 + 120*r**2/7 + 516*r/7 + 528/7.
-3*(r - 44)*(r + 2)**2/7
Determine a, given that a**4/5 + 4*a**3/5 + 4*a**2/5 = 0.
-2, 0
Determine z so that -z**5/8 + 7*z**4/8 - 3*z**3/4 = 0.
0, 1, 6
Solve 5*a**4 - 45*a**3 - 240*a**2 - 260*a = 0 for a.
-2, 0, 13
Solve -980*m**5 + 168*m**4 + 144*m**3 - 32*m**2 = 0.
-2/5, 0, 2/7
Factor -2*i**5 - 30*i**4.
-2*i**4*(i + 15)
Solve 2*b**2/7 + 488*b/7 - 984/7 = 0 for b.
-246, 2
Let -8*t**4/5 + 2458*t**3/5 - 182822*t**2/5 - 927888*t/5 + 48672 = 0. Calculate t.
-5, 1/4, 156
Solve v**4 + 25*v**3 - 396*v**2 + 1712*v - 2368 = 0 for v.
-37, 4
Factor 2*m**2 - 5332*m + 3553778.
2*(m - 1333)**2
What is c in 2*c**3/7 - 30*c**2/7 - 2*c/7 + 30/7 = 0?
-1, 1, 15
Factor 2*s**3 + 470*s**2 + 27846*s + 27378.
2*(s + 1)*(s + 117)**2
Solve -4*g**5 - 212*g**4 + 1124*g**3 - 2060*g**2 + 1616*g - 464 = 0 for g.
-58, 1, 2
Factor 51*g**2 - 135*g - 54.
3*(g - 3)*(17*g + 6)
Find f such that f**3 - f**2 - 9*f + 9 = 0.
-3, 1, 3
Find i such that 9*i**5/8 - 33*i**4/4 + 159*i**3/8 - 57*i**2/4 - 15*i/2 + 9 = 0.
-2/3, 1, 2, 3
Factor -3*m**3/4 - 231*m**2/2.
-3*m**2*(m + 154)/4
Let 2*v**2/3 + 92*v/3 + 1058/3 = 0. What is v?
-23
What is k in -5*k**5 + 65*k**4 - 190*k**3 + 70*k**2 + 195*k - 135 = 0?
-1, 1, 3, 9
Let -72*o**3 - 596*o**2 + 488*o + 180 = 0. Calculate o.
-9, -5/18, 1
Factor v**4 - 13*v**3 + 46*v**2 - 48*v.
v*(v - 8)*(v - 3)*(v - 2)
Determine h, given that -4*h**2 + 680*h + 2784 = 0.
-4, 174
Let -o**2 + 21*o = 0. What is o?
0, 21
Find x such that 2*x**3/3 + 1064*x**2/3 + 1410*x + 1056 = 0.
-528, -3, -1
Solve -2*v**2/7 - 236*v/7 - 6962/7 = 0.
-59
Find w, given that -1875*w**4 + 4500*w**3 - 2400*w**2 - 720*w + 432 = 0.
-2/5, 2/5, 6/5
Factor 2*o**3 + 1620*o**2 + 3234*o + 1616.
2*(o + 1)**2*(o + 808)
Factor 4*o**4 + 4480*o**3 - 8972*o**2 + 4488*o.
4*o*(o - 1)**2*(o + 1122)
Factor -r**2 + 20*r + 44.
-(r - 22)*(r + 2)
Suppose v**2/3 + 7*v/3 = 0. Calculate v.
-7, 0
Factor q**2/2 - 2*q - 6.
(q - 6)*(q + 2)/2
Factor -4*q**4 - 4*q**3 + 52*q**2 + 100*q + 48.
-4*(q - 4)*(q + 1)**2*(q + 3)
Factor 4*n**3/9 + 2356*n**2/9 + 345740*n/9 - 348100/9.
4*(n - 1)*(n + 295)**2/9
Factor -5*l**3 + 290*l**2 + 295*l.
-5*l*(l - 59)*(l + 1)
Determine p, given that -p**3/4 - 19*p**2/4 - 30*p - 63 = 0.
-7, -6
Suppose 3*v**4 + 303*v**3 + 8334*v**2 + 32832*v - 41472 = 0. Calculate v.
-48, -6, 1
Factor -n**4 + 579*n**3 - 1731*n**2 + 1729*n - 576.
-(n - 576)*(n - 1)**3
Determine h, given that -5*h**2 - 502*h - 200 = 0.
-100, -2/5
Factor -3*l**3 + 108*l**2 - 384*l.
-3*l*(l - 32)*(l - 4)
Factor -r**4/7 + 2*r**3/7 + r**2/7 - 2*r/7.
-r*(r - 2)*(r - 1)*(r + 1)/7
Factor -10*x**3/3 - 9566*x**2/3 + 1276*x.
-2*x*(x + 957)*(5*x - 2)/3
What is q in -q**5/5 + 12*q**4/5 - 44*q**3/5 + 14*q**2 - 51*q/5 + 14/5 = 0?
1, 2, 7
Factor n**2/2 - 738*n - 1478.
(n - 1478)*(n + 2)/2
What is l in 5*l**5 + 50*l**4 + 100*l**3 - 50*l**2 - 105*l = 0?
-7, -3, -1, 0, 1
Factor 3*j**4 - 363*j**3 - 9*j**2 + 1083*j + 726.
3*(j - 121)*(j - 2)*(j + 1)**2
Determine n so that -n**5 - 6*n**4 + 38*n**3 - 24*n**2 - 37*n + 30 = 0.
-10, -1, 1, 3
Factor w**2/3 - 24*w + 432.
(w - 36)**2/3
Determine x, given that -x**4/4 - 3*x**3/4 + 5*x**2/4 + 3*x/4 - 1 = 0.
-4, -1, 1
Suppose 1656*z**2/5 - 4966*z/5 - 6/5 = 0. What is z?
-1/828, 3
Let -10*v**3/11 + 166*v**2/11 - 92*v/11 - 64/11 = 0. What is v?
-2/5, 1, 16
Determine f so that 3*f**2 - 30*f + 27 = 0.
1, 9
Let 3*o**2 - 504*o + 21168 = 0. Calculate o.
84
Determine i, given that 25*i**4 - 180*i**3 - 415*i**2 + 90*i = 0.
-2, 0, 1/5, 9
Solve 5*h**5 - 70*h**4 - 120*h**3 + 730*h**2 - 845*h + 300 = 0 for h.
-4, 1, 15
Suppose 14*n**5/3 - 34*n**4 - 656*n**3/21 + 232*n**2/7 + 192*n/7 = 0. Calculate n.
-6/7, 0, 1, 8
Suppose 2*z**2 - 24*z - 440 = 0. Calculate z.
-10, 22
Factor -2*i**4 - 18*i**3 - 48*i**2 - 32*i.
-2*i*(i + 1)*(i + 4)**2
Find v, given that 4*v**2 - 388*v = 0.
0, 97
Let -i**2/2 + 37*i/2 + 39 = 0. What is i?
-2, 39
Factor 33*a**3/7 + 96*a**2/7 - 12*a/7 - 144/7.
3*(a + 2)**2*(11*a - 12)/7
Find o such that 7*o**5/4 - 15*o**