+ 280*q**2 - 540*q.
-5*q*(q - 54)*(q - 2)
Find o such that -2*o**2/5 - 7148*o/5 + 1430 = 0.
-3575, 1
Find m such that -m**3/2 - 5*m**2/2 + 13*m/2 - 7/2 = 0.
-7, 1
Solve 21*a**2 - 90*a + 96 = 0.
2, 16/7
What is a in -16*a**3/9 + 2*a**2/9 + 64*a/9 - 8/9 = 0?
-2, 1/8, 2
Let u**2/2 - 176*u + 15488 = 0. Calculate u.
176
Factor 5*w**4 + 15*w**3 - 20*w**2 - 60*w.
5*w*(w - 2)*(w + 2)*(w + 3)
What is l in 2*l**5/11 - 6*l**4/11 - 2*l**3/11 + 6*l**2/11 = 0?
-1, 0, 1, 3
Factor 2*f**2/21 - 34*f/21 - 12/7.
2*(f - 18)*(f + 1)/21
Factor -3721*n**3 + 366*n**2 - 9*n.
-n*(61*n - 3)**2
Factor 5*p**3/6 - 37*p**2/6 - 13*p/3 + 8/3.
(p - 8)*(p + 1)*(5*p - 2)/6
Factor 5*r**3/4 + 3395*r**2/2 + 13565*r/4 + 1695.
5*(r + 1)**2*(r + 1356)/4
Factor -u**2 + 1186*u - 351649.
-(u - 593)**2
Find o, given that -2*o**5/17 - 12*o**4/17 - 10*o**3/17 + 32*o**2/17 + 24*o/17 - 32/17 = 0.
-4, -2, 1
Solve -5*l**2 - 30*l - 45 = 0.
-3
Factor k**5 - 19*k**4 + 99*k**3 - 81*k**2.
k**2*(k - 9)**2*(k - 1)
Factor 2*r**5 + 36*r**4 + 24*r**3 - 1168*r**2 + 3072*r - 2304.
2*(r - 2)**3*(r + 12)**2
Let -2*t**2/19 - 3324*t/19 + 3326/19 = 0. What is t?
-1663, 1
Suppose 2*s**3 + 136*s**2 - 138*s = 0. What is s?
-69, 0, 1
Let -f**2/6 + 3*f + 115/6 = 0. What is f?
-5, 23
Factor -k**3 + 2*k**2 + 9*k - 18.
-(k - 3)*(k - 2)*(k + 3)
Suppose -5*b**5/4 - 19*b**4 + 15*b**3/2 + 104*b**2 - 593*b/4 + 57 = 0. Calculate b.
-76/5, -3, 1
Factor 98*w**5/9 + 2240*w**4/9 + 20360*w**3/9 + 92000*w**2/9 + 206720*w/9 + 184832/9.
2*(w + 4)**3*(7*w + 38)**2/9
Factor -f**2 + 7*f - 12.
-(f - 4)*(f - 3)
Factor 2*f**2/3 - 52*f/3 + 50/3.
2*(f - 25)*(f - 1)/3
Factor 5*n**4 + 19*n**3 + 12*n**2.
n**2*(n + 3)*(5*n + 4)
Let -3*z**5 + 30*z**4 + 84*z**3 - 120*z**2 - 288*z = 0. What is z?
-2, 0, 2, 12
Factor -2*x**5/5 + 11182*x**4/5 - 15646406*x**3/5 + 46872146*x**2/5 - 46849792*x/5 + 15612872/5.
-2*(x - 2794)**2*(x - 1)**3/5
Factor -68*k**2/5 + 2*k + 78/5.
-2*(k + 1)*(34*k - 39)/5
Solve g**4 - 54*g**3/7 - 16*g**2/7 = 0.
-2/7, 0, 8
Solve 51*u**4/2 + 864*u**3 + 10455*u**2/2 - 37449*u + 4332 = 0 for u.
-19, 2/17, 4
Factor 95*v**2 - 90*v - 5.
5*(v - 1)*(19*v + 1)
Factor d**3/3 + 7*d**2 + 56*d/3 + 12.
(d + 1)*(d + 2)*(d + 18)/3
Factor 20*r**4 + 128*r**3 + 228*r**2 + 72*r.
4*r*(r + 3)**2*(5*r + 2)
Determine n, given that -2*n**3/5 - 12*n**2/5 + 64/5 = 0.
-4, 2
Factor -3*w**3 + 204*w**2 + 213*w - 414.
-3*(w - 69)*(w - 1)*(w + 2)
Suppose -4*j**2/7 - 244*j/7 = 0. Calculate j.
-61, 0
Factor -2*u**3/25 + 4*u**2/25 + 6*u/25.
-2*u*(u - 3)*(u + 1)/25
Factor 5*j**3 - 15*j**2 - 80*j - 60.
5*(j - 6)*(j + 1)*(j + 2)
Solve -2*m**3 - 138*m**2 - 2448*m - 2312 = 0 for m.
-34, -1
Suppose 2*z**3/19 - 42*z**2/19 - 90*z/19 - 46/19 = 0. Calculate z.
-1, 23
Factor i**2 - 4194*i + 4397409.
(i - 2097)**2
Factor i**2 + 56*i.
i*(i + 56)
Solve -8*k**5 - 18*k**4 + 4*k**3 + 18*k**2 + 4*k = 0 for k.
-2, -1, -1/4, 0, 1
Let l**2/7 + 1942*l/7 + 942841/7 = 0. Calculate l.
-971
Solve d**5 - 26*d**4 + 49*d**3 - 24*d**2 = 0.
0, 1, 24
Let 4*k**4 + 4*k**3 - 12*k**2 - 4*k + 8 = 0. Calculate k.
-2, -1, 1
Let -m**2 + 94*m - 93 = 0. What is m?
1, 93
Solve -5*j**2 - 2060*j - 212180 = 0.
-206
Factor 504100*o**2/9 + 5680*o/9 + 16/9.
4*(355*o + 2)**2/9
Solve -4*b**3/5 + 139*b**2/5 - 749*b/5 - 196/5 = 0 for b.
-1/4, 7, 28
Factor 3*l**2 - 81*l - 270.
3*(l - 30)*(l + 3)
Let 3*z**3 + 66*z**2 + 177*z + 114 = 0. What is z?
-19, -2, -1
What is d in -d**4/9 - 2*d**3/9 + 7*d**2/9 + 20*d/9 + 4/3 = 0?
-2, -1, 3
Factor -5*u**3 + 25*u**2 + 420*u.
-5*u*(u - 12)*(u + 7)
Factor b**3 + 10*b**2 + 32*b + 32.
(b + 2)*(b + 4)**2
What is w in 25*w**2 - 12485*w + 4990 = 0?
2/5, 499
Factor h**2 - 660*h + 659.
(h - 659)*(h - 1)
Let 4*g**5 + 28*g**4 + 60*g**3 + 20*g**2 - 64*g - 48 = 0. Calculate g.
-3, -2, -1, 1
Factor 2*d**4/7 + 64*d**3 + 5376*d**2 + 200704*d + 2809856.
2*(d + 56)**4/7
Factor f**2/9 + 46*f/9 - 47/9.
(f - 1)*(f + 47)/9
Suppose -28*m**4 - 36*m**3 + 48*m**2 + 16*m = 0. Calculate m.
-2, -2/7, 0, 1
Factor -2*x**3/9 + 56*x**2/9 + 506*x/9 - 560/9.
-2*(x - 35)*(x - 1)*(x + 8)/9
Solve -2*a**3/3 - 20*a**2/3 - 16*a/3 + 128/3 = 0 for a.
-8, -4, 2
Find l, given that 2*l**5/5 - 16*l**3/5 + 12*l**2/5 + 14*l/5 - 12/5 = 0.
-3, -1, 1, 2
Solve -2*r**2 - 10400*r - 13520000 = 0.
-2600
Factor -4*l**3 + 28*l**2 + 40*l - 64.
-4*(l - 8)*(l - 1)*(l + 2)
Let -s**2/2 + 2983*s/2 - 1491 = 0. Calculate s.
1, 2982
Factor -k**2 + 57*k - 56.
-(k - 56)*(k - 1)
Let 5*p**5 + 60*p**4 - 325*p**3 - 60*p**2 + 320*p = 0. What is p?
-16, -1, 0, 1, 4
Suppose l**5 + 23*l**4 + 61*l**3 + 17*l**2 - 62*l - 40 = 0. Calculate l.
-20, -2, -1, 1
Factor 2*g**2 - 474*g.
2*g*(g - 237)
Find h, given that -18*h**3/11 - 18078*h**2/11 + 12058*h/11 - 2010/11 = 0.
-1005, 1/3
Suppose -4*f**2/3 + 148*f - 7832/3 = 0. What is f?
22, 89
Find s such that -s**2/2 + 80*s - 159/2 = 0.
1, 159
Factor j**3/4 - 3*j**2 + 21*j/4 + 49/2.
(j - 7)**2*(j + 2)/4
Suppose c**4/3 - 10*c**3/3 + 37*c**2/3 - 20*c + 12 = 0. Calculate c.
2, 3
Factor -2*q**2/15 + 12*q/5 - 64/15.
-2*(q - 16)*(q - 2)/15
Factor 5*f**4 + 40*f**3 + 30*f**2 - 200*f + 125.
5*(f - 1)**2*(f + 5)**2
What is c in 4*c**3 + 28*c**2 + 44*c + 20 = 0?
-5, -1
Factor -3*s**3/8 + 645*s**2/2 + 2589*s/2 + 1296.
-3*(s - 864)*(s + 2)**2/8
Solve z**3/2 - 2089*z**2/2 + 1089935*z/2 + 1092025/2 = 0.
-1, 1045
Factor -2*r**3 + 20*r**2 - 56*r + 48.
-2*(r - 6)*(r - 2)**2
Factor -2*a**3 + 70*a**2 - 576*a - 648.
-2*(a - 18)**2*(a + 1)
Factor -m**3 + 2*m**2.
-m**2*(m - 2)
Factor -3*x**2/2 - 405*x/2.
-3*x*(x + 135)/2
Let j**3 - 107*j**2 - 554*j - 672 = 0. What is j?
-3, -2, 112
Solve -u**4/3 + 2*u**3/3 + 3*u**2 - 6*u = 0 for u.
-3, 0, 2, 3
Factor 5*s**4 - 785*s**3 + 30405*s**2 + 32785*s - 62410.
5*(s - 79)**2*(s - 1)*(s + 2)
Solve 2*m**5/3 - 26*m**4 - 308*m**3 - 2696*m**2/3 - 784*m = 0.
-6, -2, 0, 49
Factor -w**4 - 86*w**3 - 413*w**2 - 652*w - 324.
-(w + 1)*(w + 2)**2*(w + 81)
Factor -5*a**3/4 + 25*a**2 - 585*a/4 + 405/2.
-5*(a - 9)**2*(a - 2)/4
Find l such that 3*l**3 - 213*l**2 + 3885*l - 3675 = 0.
1, 35
Factor -2*x**4 - 10*x**3.
-2*x**3*(x + 5)
Find o, given that 2*o**3 + 144*o**2 + 2970*o + 13068 = 0.
-33, -6
Solve n**4/6 + 35*n**3/3 + 89*n**2/2 + 33*n = 0.
-66, -3, -1, 0
Factor 2*w**5 - 14*w**4 + 32*w**3 - 16*w**2 - 32*w + 32.
2*(w - 2)**4*(w + 1)
Factor -5*v**2 + 335*v + 340.
-5*(v - 68)*(v + 1)
Solve -w**3/5 + 19*w**2/5 - 106*w/5 + 144/5 = 0.
2, 8, 9
Factor 9*w**5 - 42*w**4 - 20*w**3 + 26*w**2 - 5*w.
w*(w - 5)*(w + 1)*(3*w - 1)**2
Suppose -21*w**3 + 78*w**2 + 276*w + 72 = 0. Calculate w.
-2, -2/7, 6
Let -i**3/4 + 5*i**2/4 + 81*i/4 - 405/4 = 0. Calculate i.
-9, 5, 9
Factor -x**4/2 - 7*x**3/2 - 3*x**2.
-x**2*(x + 1)*(x + 6)/2
Factor -3*d**4 + 24*d**3 - 63*d**2 + 66*d - 24.
-3*(d - 4)*(d - 2)*(d - 1)**2
Solve 2*i**3/11 - 62*i**2/11 - 200*i/11 - 136/11 = 0 for i.
-2, -1, 34
Determine x, given that -17*x**5/3 - 53*x**4/3 - 2*x**3 = 0.
-3, -2/17, 0
Factor 2*r**2/5 + 4708*r/5 + 2770658/5.
2*(r + 1177)**2/5
Find l such that l**4 + 51*l**3 - 333*l**2 + 513*l = 0.
-57, 0, 3
Determine i so that -i**3/2 - 47*i**2/4 + 75*i/4 = 0.
-25, 0, 3/2
Factor 5*o**2/2 + 1145*o/2 - 575.
5*(o - 1)*(o + 230)/2
Factor -v**3/9 - 5*v**2 + v/9 + 5.
-(v - 1)*(v + 1)*(v + 45)/9
Factor -4*k**2/3 - 8*k - 12.
-4*(k + 3)**2/3
Factor g**3 - 37*g**2 - 78*g.
g*(g - 39)*(g + 2)
Factor -12*l**3 + 33*l**2 - 30*l + 9.
-3*(l - 1)**2*(4*l - 3)
Suppose 3*v**2 + 132*v + 129 = 0. Calculate v.
-43, -1
Factor h**2/3 + 267*h.
h*(h + 801)/3
Factor -3*o**4 - 9*o**3 + 165*o**2 - 423*o + 270.
-3*(o - 3)**2*(o - 1)*(o + 10)
Find r such that -3*r**4/5 - 113*r**3/5 - 181*r**2/5 - 7*r + 36/5 = 0.
-36, -1, 1/3
Factor -27*c**3/4 + 42*c**2 - 9*c.
-3*c*(c - 6)*(9*c - 2)/4
Solve 2*l**4/9 - 58*l**3/3 + 670*l**2/9 - 166*l/3 = 0 for l.
0, 1, 3, 83
Suppose 2*u**5/7 - 22*u**4/7 - 16*u**3/7 + 176*u**2/7 + 32*u/7 - 352/7 = 0. What is u?
-2, 2, 11
Factor -2*s**2/15 - 6596*s/15.
-2*s*(s + 3298)/15
Factor -2*o**4/9 + 52*o**3/9 - 338*o**2/9.
-2*o**2*(o - 13)**2/9
Factor -o**2/8 - 319*o/4 + 160.
-(o - 2)*(o + 640)/8
Suppose -2*h**4 - 32*h**3/3 - 16*h**2 + 32/3 = 0. What is h?
-2, 2/3
Determine m, given that 13467*m**4 + 28542*m**3 + 3264*m**2 + 96*m = 0.
-2, -4/67, 0
Suppose 4*d**5 - 744*d**4 = 0. Calculate d.
0, 186
Determine w, given that -3*w**3 + 99*w**2 - 753*w - 855 = 0.
-1, 15, 19
Factor -4*a**3 