4528372*r**2 - 9082320*r + 4545424.
4*(r - 1)**2*(r + 1066)**2
Factor -3*q**4/4 - 45*q**3/4 - 177*q**2/4 - 135*q/4.
-3*q*(q + 1)*(q + 5)*(q + 9)/4
Determine m so that 5*m**4/8 + 9*m**3/4 - 3*m**2/2 - 13*m - 12 = 0.
-2, 12/5
Factor b**4/3 + 4*b**3 + 16*b**2 + 64*b/3.
b*(b + 4)**3/3
Find y, given that -3*y**2 + 5760*y - 2764800 = 0.
960
What is i in 3*i**5/5 + 51*i**4/5 + 282*i**3/5 + 114*i**2 + 483*i/5 + 147/5 = 0?
-7, -1
Factor -k**5/3 - 20*k**4 - 116*k**3/3 + 2*k**2/3 + 39*k + 58/3.
-(k - 1)*(k + 1)**3*(k + 58)/3
Let 3*q**4/8 - 75*q**3/8 + 81*q**2/2 - 123*q/2 + 30 = 0. What is q?
1, 2, 20
Let -u**2/5 - 36*u + 181/5 = 0. Calculate u.
-181, 1
Factor -4*v**2 + 32*v + 36.
-4*(v - 9)*(v + 1)
Factor i**2/4 + 17*i/4 - 15.
(i - 3)*(i + 20)/4
Factor -u**4/6 + 8*u**3 - 183*u**2/2 - 299*u/3.
-u*(u - 26)*(u - 23)*(u + 1)/6
Determine y, given that 10*y**3/13 - 32*y**2/13 - 6*y/13 + 36/13 = 0.
-1, 6/5, 3
Let 2*w**3 + 34*w**2 - 82*w - 114 = 0. What is w?
-19, -1, 3
Factor 2*c**2/5 + 8*c/5 - 42/5.
2*(c - 3)*(c + 7)/5
Let -2*w**3/3 + 20*w**2/3 - 6*w = 0. Calculate w.
0, 1, 9
Find j, given that j**4 + 35*j**3/3 + 94*j**2/3 - 20*j - 24 = 0.
-6, -2/3, 1
Factor 2*h**2/17 - 90*h/17.
2*h*(h - 45)/17
Factor 2*n**2/9 - 14*n/3 + 76/9.
2*(n - 19)*(n - 2)/9
Find a such that 3*a**2/7 - 27*a/7 + 24/7 = 0.
1, 8
Determine o so that 5*o**2 - 45 = 0.
-3, 3
Solve -4*q**4 - 36*q**3 - 112*q**2 - 144*q - 64 = 0 for q.
-4, -2, -1
Factor 3*o**4 - 63*o**3 + 222*o**2 + 288*o.
3*o*(o - 16)*(o - 6)*(o + 1)
Factor -f**4/3 + 34*f**3/3 - 320*f**2/3 + 512*f/3.
-f*(f - 16)**2*(f - 2)/3
Suppose 4*f**5 - 28*f**4 + 52*f**3 - 4*f**2 - 56*f + 32 = 0. What is f?
-1, 1, 2, 4
Determine u so that -4*u**3 + 104*u**2 + 528*u - 1440 = 0.
-6, 2, 30
Determine d so that -3*d**3 + 72*d**2 - 303*d - 378 = 0.
-1, 7, 18
Factor f**2/2 + 15*f + 29/2.
(f + 1)*(f + 29)/2
Solve 2*s**5/7 - 12*s**4/7 + 2*s**3 + 12*s**2/7 - 16*s/7 = 0.
-1, 0, 1, 2, 4
Solve 3*y**3 - 75*y**2 + 282*y + 360 = 0 for y.
-1, 6, 20
Factor -5*r**2 - 225*r - 430.
-5*(r + 2)*(r + 43)
Determine o, given that 2*o**3 - 36*o**2 - 78*o - 40 = 0.
-1, 20
Suppose -5*d**5 - 65*d**4 + 80*d**3 + 140*d**2 = 0. What is d?
-14, -1, 0, 2
Factor -2*m**3/7 - 24*m**2/7 - 90*m/7 - 108/7.
-2*(m + 3)**2*(m + 6)/7
Factor 3*p**4/8 + 11*p**3/4 + 43*p**2/8 + 3*p/2.
p*(p + 3)*(p + 4)*(3*p + 1)/8
Factor -2*a**3/7 + 88*a**2/7 + 1272*a/7 + 576.
-2*(a - 56)*(a + 6)**2/7
Let 2*x**4 + 18*x**3 + 42*x**2 + 38*x + 12 = 0. Calculate x.
-6, -1
Factor 2*p**2 + 36*p - 126.
2*(p - 3)*(p + 21)
Determine c, given that 3*c**2 - 279*c - 2100 = 0.
-7, 100
Suppose -3*b**5 + 39*b**4 - 27*b**3 - 123*b**2 + 186*b - 72 = 0. Calculate b.
-2, 1, 12
Factor -5*f**3 - 15*f**2 + 20*f.
-5*f*(f - 1)*(f + 4)
What is q in 25*q**3/3 + 1630*q**2/3 - 1316*q/3 + 88 = 0?
-66, 2/5
Find p such that -4*p**2 + 748*p - 744 = 0.
1, 186
Factor -2*g**4 + 18*g**2 - 8*g - 24.
-2*(g - 2)**2*(g + 1)*(g + 3)
Solve -2*t**3/5 + 292*t**2/5 + 8606*t/5 + 58136/5 = 0.
-13, 172
Solve -2*l**5/9 + 10*l**4/9 - 4*l**3/3 - 4*l**2/9 + 14*l/9 - 2/3 = 0.
-1, 1, 3
Factor 3*h**2/7 + 180*h/7 + 2700/7.
3*(h + 30)**2/7
Factor 125*a**3 - 13350*a**2 + 36645*a - 25480.
5*(a - 104)*(5*a - 7)**2
Determine h, given that -3*h**2/5 - 18*h/5 - 24/5 = 0.
-4, -2
Suppose 6*q**5/5 - 31*q**4/5 + 41*q**3/5 + 18*q**2/5 - 52*q/5 + 8/5 = 0. What is q?
-1, 1/6, 2
Solve -2*s**3/11 - 76*s**2/11 - 546*s/11 + 3528/11 = 0.
-21, 4
Suppose 4*s**3/7 - 24*s**2/7 - 36*s/7 + 8 = 0. Calculate s.
-2, 1, 7
Let -2*i**3/19 + 82*i**2/19 - 880*i/19 + 800/19 = 0. What is i?
1, 20
Solve -4*h**2 - 20*h + 24 = 0 for h.
-6, 1
Factor -3*b**2 + 354*b - 10443.
-3*(b - 59)**2
Solve -3*m**4/4 + 81*m**3/4 - 375*m**2/2 + 675*m - 750 = 0 for m.
2, 5, 10
Determine o, given that -3*o**3 - 177*o**2 - 1584*o = 0.
-48, -11, 0
Determine t so that -6*t**5/11 - 42*t**4/11 + 48*t**3/11 = 0.
-8, 0, 1
Suppose -2*k**2/11 + 14*k/11 - 12/11 = 0. What is k?
1, 6
Factor -2*q**2/5 - 19*q + 48/5.
-(q + 48)*(2*q - 1)/5
Factor i**3/3 + 112*i**2/3 + 412*i + 1200.
(i + 6)**2*(i + 100)/3
Factor 12*w**3 + 56*w**2 - 28*w - 40.
4*(w - 1)*(w + 5)*(3*w + 2)
Factor 4*h**2/7 - 88*h/7 - 1632/7.
4*(h - 34)*(h + 12)/7
Find k, given that 2*k**3/15 - 16*k**2 + 480*k = 0.
0, 60
Determine q, given that -q**2 + 12*q + 160 = 0.
-8, 20
Factor 2*d**2/5 + 12*d/5 + 16/5.
2*(d + 2)*(d + 4)/5
Solve -3*a**3 + 5472*a**2 - 3326976*a + 674267136 = 0.
608
Find z, given that -5*z**3 + 120*z**2 - 115*z = 0.
0, 1, 23
Solve -4*i**2/7 + 52*i/7 - 160/7 = 0 for i.
5, 8
Solve 8*r**5 + 2*r**4 - 72*r**3 - 50*r**2 + 88*r + 24 = 0 for r.
-2, -1/4, 1, 3
Factor -2*i**3/3 + 4*i**2/3 + 238*i/3 - 392.
-2*(i - 7)**2*(i + 12)/3
Factor -2*f**3/5 + 26*f**2/5 + 12*f.
-2*f*(f - 15)*(f + 2)/5
Suppose 3*a**5/2 - 3*a**4/2 - 6*a**3 + 6*a**2 = 0. Calculate a.
-2, 0, 1, 2
Find n such that 1682*n**2 - 377*n + 169/8 = 0.
13/116
Determine u, given that u**5 + 112*u**4 + 3021*u**3 - 6498*u**2 = 0.
-57, 0, 2
Determine w, given that 15*w**5/2 + 29*w**4/2 - 23*w**3/2 - 41*w**2/2 + 4*w + 6 = 0.
-2, -1, -3/5, 2/3, 1
Factor 5*p**3 - 110*p**2 - 145*p + 690.
5*(p - 23)*(p - 2)*(p + 3)
Determine d so that 21*d**2/4 + 14793*d - 4227 = 0.
-2818, 2/7
Let 3*v**4 - 15*v**3 + 9*v**2 + 27*v = 0. Calculate v.
-1, 0, 3
Determine v, given that -v**5 + 5*v**4 + 5*v**3 - 25*v**2 - 4*v + 20 = 0.
-2, -1, 1, 2, 5
Factor -u**4/2 - 23*u**3 - 20*u**2 + 111*u - 135/2.
-(u - 1)**2*(u + 3)*(u + 45)/2
Find b, given that -4*b**3 + 4*b**2 + 80*b = 0.
-4, 0, 5
Suppose -4*u**4 - 1960*u**3 = 0. What is u?
-490, 0
Factor 3*v**2/4 - 9*v/2 - 81/4.
3*(v - 9)*(v + 3)/4
Factor 27*q**3 - 237*q**2 + 162*q + 48.
3*(q - 8)*(q - 1)*(9*q + 2)
What is x in x**4 + 6*x**3 - 17*x**2 - 6*x + 16 = 0?
-8, -1, 1, 2
Factor -2*a**2/3 - 58*a/3 - 200/3.
-2*(a + 4)*(a + 25)/3
Solve -3*h**3/5 - 4*h**2/5 + h + 2/5 = 0.
-2, -1/3, 1
Factor 3*r**3/4 - 918*r**2 + 1119951*r/4 + 1127307/2.
3*(r - 613)**2*(r + 2)/4
Factor 27*o**3 - 80*o**2/3 - o/3.
o*(o - 1)*(81*o + 1)/3
Suppose 2*h**2 - 2446*h - 4900 = 0. Calculate h.
-2, 1225
Factor d**3/5 + 342*d**2/5 + 38988*d/5 + 1481544/5.
(d + 114)**3/5
Solve 5*p**5 + 25*p**4 + 5*p**3 - 85*p**2 - 110*p - 40 = 0.
-4, -1, 2
Factor -4*t**3 + 364*t**2 - 712*t.
-4*t*(t - 89)*(t - 2)
Factor -4*a**4 + 36*a**3 - 28*a**2 - 36*a + 32.
-4*(a - 8)*(a - 1)**2*(a + 1)
Factor 2*n**3 + 60*n**2 + 442*n.
2*n*(n + 13)*(n + 17)
Determine x so that 4*x**2 - 136*x + 372 = 0.
3, 31
Find i such that -3*i**5/2 + 63*i**4/2 + 63*i**3/2 - 3963*i**2/2 - 7380*i - 5400 = 0.
-4, -1, 15
What is h in 9*h**5/7 + 6*h**4/7 - 12*h**3/7 - 6*h**2/7 + 3*h/7 = 0?
-1, 0, 1/3, 1
Factor -b**5/4 + 7*b**4 - 67*b**3 + 459*b**2/2 - 243*b/4 - 729/2.
-(b - 9)**3*(b - 2)*(b + 1)/4
Find a, given that 5*a**4 - 5*a**3 - 5*a**2 + 5*a = 0.
-1, 0, 1
Factor o**3/3 + 10*o**2/3 - 29*o + 48.
(o - 3)**2*(o + 16)/3
Suppose -a**2/2 - 523*a/2 - 261 = 0. What is a?
-522, -1
Factor 2*y**2/15 + 176*y/15 - 182/5.
2*(y - 3)*(y + 91)/15
Factor 8*a**3/9 + 22*a**2/9 - 2*a/3.
2*a*(a + 3)*(4*a - 1)/9
Suppose -2*v**3/11 + 30*v**2/11 - 144*v/11 + 224/11 = 0. Calculate v.
4, 7
Factor -2*v**2/11 - 20*v/11 - 42/11.
-2*(v + 3)*(v + 7)/11
Factor -2*m**2 - 2344*m.
-2*m*(m + 1172)
Factor -5*y**3 - 80*y**2 + 55*y + 3630.
-5*(y - 6)*(y + 11)**2
Solve q**3/9 - q**2/9 - 2*q/9 = 0 for q.
-1, 0, 2
Factor -245*i**3 + 2555*i**2 - 5200*i - 8000.
-5*(i + 1)*(7*i - 40)**2
Solve -21*t**2/2 - 339*t/2 + 180 = 0.
-120/7, 1
Solve -l**4/3 + 4*l**3/3 - l**2 - 4*l/3 + 4/3 = 0.
-1, 1, 2
Determine q so that q**2/2 + 12*q + 23/2 = 0.
-23, -1
Solve 5*h**3/4 + 237*h**2/4 - 73*h/2 - 24 = 0.
-48, -2/5, 1
What is s in -4*s**2/3 - 368*s/3 - 8464/3 = 0?
-46
Factor -f**5/2 + 4*f**4 - 6*f**3 - f**2 + 13*f/2 - 3.
-(f - 6)*(f - 1)**3*(f + 1)/2
Factor m**3/3 + 145*m**2/3 + 6623*m/3 + 97199/3.
(m + 37)**2*(m + 71)/3
Factor -4*o**4 - 64*o**3 - 276*o**2 - 360*o.
-4*o*(o + 3)**2*(o + 10)
Factor -h**3/5 + 13*h**2/5 - 23*h/5 + 11/5.
-(h - 11)*(h - 1)**2/5
Solve -c**3 + 25*c**2 + 248*c + 528 = 0.
-4, 33
Factor -2*t**4/13 - 1418*t**3/13 + 2842*t**2/13 - 1422*t/13.
-2*t*(t - 1)**2*(t + 711)/13
Solve 3*x**5 + 13731*x**4 + 15732282*x**3 + 47114490*x**2 + 47087043*x + 15691107 = 0.
-2287, -1
Let 5*x**2 + 1335*x - 1340 = 0. Calculate x.
-268, 1
Determine j, given that -2*j**5 + 318*j**4/7 + 834*j**3/7 - 838*j**2/7 - 300*j/7